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Groups > comp.lang.c > #395407

Re: _BitInt(N)

From Keith Thompson <Keith.S.Thompson+u@gmail.com>
Newsgroups comp.lang.c
Subject Re: _BitInt(N)
Date 2025-11-24 04:29 -0800
Organization None to speak of
Message-ID <87ikez4ns0.fsf@example.invalid> (permalink)
References (1 earlier) <10fus62$hl69$1@solani.org> <10fv2dm$3can9$1@paganini.bofh.team> <10fv40v$1f7a2$1@dont-email.me> <87ms4c4bom.fsf@example.invalid> <10g08vm$1us25$1@dont-email.me>

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bart <bc@freeuk.com> writes:
> On 23/11/2025 22:38, Keith Thompson wrote:
>> bart <bc@freeuk.com> writes:
>>> On 23/11/2025 13:32, Waldek Hebisch wrote:
>>>> Philipp Klaus Krause <pkk@spth.de> wrote:
>>>>> Am 22.10.25 um 14:45 schrieb Thiago Adams:
>>>>>> Is anyone using or planning to use this new C23 feature?
>>>>>> What could be the motivation?
>>>>>
>>>>> Saving memory by using the smallest multiple-of-8 N that will do.
>>>> IIUC nothing in the standard says that it is smallest multiple-of-8.
>>>> Using gcc-15.1 on AMD-64 is get 'sizeof(_BitInt(22))' equal to 4,
>>>> while the number cound fit in 3 bytes.
>>>
>>> The rationale mentions a use-case where there is a custom processor
>>> that might actually have a 22-bit hardware types.
>> What rationale are you referring to?  There hasn't been an official
>> ISO C Rationale document since C99.
>
> See Introduction and Rationale here:
>
>  https://www.open-std.org/jtc1/sc22/wg14/www/docs/n2709.pdf

Thanks.

>>> Implementing such odd-size types on regular 8/16/32/64-bit hardware is
>>> full of problems if you want to do it without padding (in order to get
>>> the savings). On even with padding (to get the desired overflow
>>> semantics).
>>>
>>> Such as working out how pointers to them will work.
>> Why would pointers to _BitInt types be a problem?  A _BitInt object
>> is a fixed-size chunk of memory, similar to a struct object.
>
> Saving memory was mentioned. To achieve that means having bitfields
> that may not start at bit 0 of a byte, and may cross byte- or
> word-boundaries.

That part of the rationale appears to be specific to FPGA hardware, not
something I know much about.

> For example, an array of 1M 5-bit values would occupy 1M 8-bit bytes,
> but storing packed values means it would use only 625K bytes.
>
> Anyway, pointers to individual values, or to some arbitrary element or
> slice of such an array, would need some extra info.

On the implementations I have access to (gcc and clang), a _BitInt
object is an ordinary object, with a size that's whole number of bytes.
`unsigned _BitInt(4)`, for example, has 4 value bits and 4 padding bits.
(Unless it's a bit-field, but that doesn't give you packed arrays.)

I can see the benefit of tightly packing multiple bit-precise
integers into an array, but I don't see a way to do that, either
with the current gcc and llvm/clang implementations or with the C
memory model.

>>>>> Also being able to use bit-fields wider than int.
>>>> For me main gain is reasonably standard syntax for integers bigger
>>>> that 64 bits.
>>>
>>> Standard syntax I guess would be something like int128_t and
>>> int256_t. Such wider integers tend to be powers of two.
>>>
>>> But there are two problems with _BitInt:
>>>
>>> * Any odd sizes are allowed, such as _BitInt(391)
>> Why is that a problem?  If you don't want odd-sized types, don't use
>> them.
>
> It is an unnecessary complication. There will be a lot of extra rules
> that maybe partly 'implementation defined', so behaviour may vary. And
> people WILL uses those types because they are there, and likely they
> will be inefficient.

Imposing arbitrary restrictions would introduce more unnecessary
complication.  As far as I've been able to tell, odd-sized _BitInt types
are already implemented (though I've done very little testing).

> What happens when a 391-bit type, even unsigned, overflows? These
> larger types are likely to use a multiple of 64-bits, and for 391 bits
> will need 7 x 64 bits, of which the last word will have 57 bits of
> padding. It's very messy.

An unsigned _BitInt(391) value wraps around modulo 2**391.  In the
current gcc and clang implementations, it has a size of 56 bytes, with
391 value bits and 57 value bits.  It doesn't seem to be a problem in
practice.

> Specifying a multiple of 64 bits is better; a power of two even better.

Then by all means do so.  Operations on _BitInt(448) or _BitInt(512)
might even be more efficient than operations on _BitInt(391).

If you want the language to restrict allowed widths, how exactly
would you specify it?  Would you allow 32 but not 33?  64 but
not 65?  72?  80?

You can impose whatever restrictions you like in your own code.

>>> * There appears to be no upper limit on size, so _BitInt(2997901) is a
>>>    valid type
>> The upper limit is specified by the implementation as
>> BITINT_MAXWIDTH, a macro defined in <limits.h>.  For gcc 15.2.0 on
>> x86_64, BITINT_MAXWIDTH is 65535 (2**16-1).  For clang 21.1.5 it's
>> 8388608 (2**23 bits, 1048576 bytes).  clang seems to have some
>> problems with _BitInt(8388608).  For example, this program: #include
>> <limits.h> _BitInt(BITINT_MAXWIDTH) n = 42;
>> int main(void) {
>>      n *= n;
>> }
>> takes a *long* time to compile with clang.  I believe it's generating
>> inline code to do the 8388608 by 8388608 bit multiplication.
>
> Now try it with two disparate sizes.

Why?  llvm/clang currently has a known problem with multiplication
and division on very large _BitInt types.  It shouldn't be too
difficult for them to correct it.  Operations on disparate sizes
don't add much complexity (the narrower operand is promoted to the
wider type).

If you're curious, here's the bug report (I've commented on it),
but it's an implementation issue, not a language issue.

https://github.com/llvm/llvm-project/issues/126384

>>> So what is the result type of multiplying values of those two types?
>> _BitInt types are exempt from the integer promotion rules (so
>> _BitInt(3) doesn't promote to int), but the usual arithmetic
>> conversions apply.  If you multiply values of two _BitInt types, the
>> result is the wider of the two types.
>
> So multiplying even two one-million-bit types could overflow!

Of course.  These are fixed-width types, not arbitrary precision types.

If you want to multiply two _BitInt(1'000'000) values without overflow,
you can convert to _BitInt(2'000'000) -- if the compiler supports it.
(Don't expect the code to be efficient, at least for now.)

> Such limits for /fixed-width/ integers are ridiculous.

I acknowledge that you think so.

I honestly don't know why the gcc maintainers felt it was worthwhile
to support _BitInt types up to 65535 bits, or why the llvm/clang
maintainers decided to support up to 8388608 bits.  But that's
what they've done, and again, you don't have to use it if you don't
want to.  There could easily be a perfectly valid reason that you
and I are not aware of.

It's likely that implementing million-bit integers isn't
significantly harder than implementing thousand-bit integers.

Bit-precise integers up to, say, 128 or 256 bits seem to be
implemented reasonably efficiently.  How exactly does the fact that
compilers support much wider types inconvenience you?

> You might say this is no different from defining an array of exactly
> 123,456 elements. But the use-cases are very different.
>
> I starting going into details but I guess you don't care about such
> matters or whether the feature makes much sense.

On the contrary, I'm curious about it.  But if two different compiler
teams have already done the work of implementing bit-precise
integers with extremely large and/or odd widths, I can think of
no reason to complain about it.  Even if it doesn't make sense,
I didn't have to do the work of implementing it.

Incidentally, something odd happens to quoted text in your followups.
Blank lines are lost, and paragraphs are reformatted oddly, often
with alternating long and short lines.  Is your newsreader doing
that, or is it something else?  Can you do something about it?

-- 
Keith Thompson (The_Other_Keith) Keith.S.Thompson+u@gmail.com
void Void(void) { Void(); } /* The recursive call of the void */

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Thread

_BitInt(N) Thiago Adams <thiago.adams@gmail.com> - 2025-10-22 09:45 -0300
  Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-10-22 11:42 -0500
    Re: _BitInt(N) Thiago Adams <thiago.adams@gmail.com> - 2025-10-22 14:23 -0300
      Re: _BitInt(N) Thiago Adams <thiago.adams@gmail.com> - 2025-10-22 14:25 -0300
        Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-10-22 14:03 -0500
  Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-23 12:46 +0100
    Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-23 13:32 +0000
      Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-23 13:59 +0000
        Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-23 17:06 +0200
          Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 10:29 +0100
            Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 11:17 +0000
              Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 05:12 -0800
              Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 14:49 +0100
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 17:23 -0800
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-25 07:56 +0100
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-29 19:36 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-30 11:56 +0100
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-30 15:50 +0000
            Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 05:06 -0800
              Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-24 15:27 +0200
              Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 14:51 +0100
          Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-29 22:06 +0100
            Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-11-29 17:10 -0600
            Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-29 17:32 -0800
              Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-30 11:46 +0200
              Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-30 11:12 +0100
              Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-30 12:07 +0100
        Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-23 17:55 +0000
        Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-23 14:38 -0800
          Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 00:30 +0000
            Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 12:17 +0100
              Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-24 13:44 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 15:02 +0100
              Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 12:31 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 05:33 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 14:41 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 16:46 -0800
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 15:41 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 18:35 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 21:26 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 22:27 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 18:10 -0800
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-25 21:25 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-25 21:58 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-25 15:20 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-26 02:08 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-25 19:06 -0800
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-26 11:52 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-26 13:15 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-26 15:08 +0200
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-25 19:21 -0800
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-29 22:40 +0100
                Re: _BitInt(N) James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-11-29 22:04 -0500
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-26 08:55 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-26 12:05 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-26 15:49 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-26 15:44 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-26 17:37 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-26 18:42 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-26 21:43 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-26 22:19 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-27 02:32 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-27 12:46 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-27 14:39 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-27 11:43 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-27 12:20 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-27 14:02 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-27 16:02 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-27 21:15 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-28 00:15 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-28 09:46 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-28 13:12 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-28 12:45 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-28 15:33 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-28 15:47 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-29 19:23 +0200
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-29 00:20 +0000
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-29 19:30 +0200
                Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-11-28 13:09 -0600
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-28 22:43 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-27 17:13 +0000
                Re: _BitInt(N) Ike Naar <ike@sdf.org> - 2025-11-27 17:38 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-27 17:59 +0000
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-11-28 03:33 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-28 11:49 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-28 14:46 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-28 15:23 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-29 00:08 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-29 03:12 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-28 19:38 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-29 11:24 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-29 14:45 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-29 14:40 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-29 17:15 +0100
                Re: _BitInt(N) James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-11-29 10:27 -0500
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-29 16:29 -0800
                Re: _BitInt(N) James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-11-29 22:08 -0500
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-20 11:24 -0800
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-12-21 00:18 +0000
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-21 23:07 -0800
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-22 02:51 -0800
                Re: _BitInt(N) Kaz Kylheku <046-301-5902@kylheku.com> - 2025-12-22 19:23 +0000
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2026-01-07 03:01 -0800
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-20 18:22 -0800
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2026-01-06 21:57 -0800
                Re: _BitInt(N) James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-12-20 21:27 -0500
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2026-01-06 21:51 -0800
                Re: _BitInt(N) Kaz Kylheku <046-301-5902@kylheku.com> - 2025-12-21 02:27 +0000
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-21 22:48 -0800
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-11-29 03:26 +0100
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-11-29 03:32 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-29 12:24 +0000
                Re: _BitInt(N) James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-11-28 09:48 -0500
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-28 11:41 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-28 19:46 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-28 21:58 +0100
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-27 15:59 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-28 00:11 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-27 16:39 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-28 01:49 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-27 19:36 -0800
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-04 17:58 -0800
                [meta] Newsreader and formatting (was Re: _BitInt(N)) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-11-28 02:56 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-12-01 14:59 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 14:18 +0100
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-01 12:06 -0800
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-12-01 23:59 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-02 08:31 +0100
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-12-02 12:14 +0100
                [OT] Keyboard layout (was Re: _BitInt(N)) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-12-02 14:01 +0100
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-02 15:33 -0800
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-12-03 09:23 +0100
                Re: _BitInt(N) Richard Heathfield <rjh@cpax.org.uk> - 2025-12-03 08:29 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-03 02:16 -0800
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-15 11:01 -0800
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-15 14:19 -0800
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-21 22:24 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-02 12:21 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-02 13:45 +0100
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-12-02 14:15 +0100
                Block syntax (was Re: _BitInt(N)) bart <bc@freeuk.com> - 2025-12-02 14:12 +0000
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-12-02 13:53 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-12-02 19:55 +0200
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-12-02 19:37 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-02 21:07 +0100
                Re: _BitInt(N) Ike Naar <ike@sdf.org> - 2025-11-27 08:10 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-27 01:30 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-27 02:18 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-27 04:12 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-29 20:24 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-29 22:58 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-29 16:46 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-30 02:30 +0000
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-11-30 05:31 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-30 12:51 +0000
                Re: _BitInt(N) Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2025-11-30 18:17 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-30 17:55 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-12-01 00:08 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 01:14 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-12-01 04:10 +0000
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 14:41 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 16:24 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 17:19 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 19:33 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 20:14 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-12-02 01:04 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-01 18:21 -0800
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-01 12:34 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 22:01 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-01 15:01 -0800
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 11:33 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 11:29 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 14:10 +0100
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-01 08:56 -0800
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 19:38 +0100
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-01 12:42 -0800
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-12-02 22:17 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-03 09:25 +0100
                Re: _BitInt(N) James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-12-03 06:17 -0500
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-12-03 10:07 -0800
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-15 08:19 -0800
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-15 08:21 -0800
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-30 18:05 -0800
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-29 20:32 -0800
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-30 12:22 +0200
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-30 11:41 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-30 12:28 +0100
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-30 13:35 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-30 15:14 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-30 12:09 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 18:03 -0800
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-25 11:38 +0000
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-25 14:12 +0200
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-25 14:57 +0000
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-25 18:29 +0200
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-25 18:33 +0000
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-26 11:12 +0200
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-26 12:45 +0000
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-26 15:31 +0200
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-26 11:29 +0200
                Re: _BitInt(N) James Kuyper <jameskuyper@alumni.caltech.edu> - 2025-11-26 21:19 -0500
                Re: _BitInt(N) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2025-12-15 08:29 -0800
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-25 21:54 +0100
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-25 13:42 -0800
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-26 12:01 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-26 15:08 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-26 13:24 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-25 23:11 +0200
                Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-11-26 17:04 -0600
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-27 01:05 +0000
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-27 02:54 +0000
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-29 22:17 +0100
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-29 22:41 +0000
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-30 00:17 +0100
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-30 01:22 +0000
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-30 11:00 +0100
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-30 11:05 +0200
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-30 10:51 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-30 13:10 +0000
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-30 15:26 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-30 15:09 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-30 17:26 +0100
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-30 21:53 +0000
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-30 17:32 -0800
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 08:36 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 11:37 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 14:37 +0100
                Re: _BitInt(N) bart <bc@freeuk.com> - 2025-12-01 14:14 +0000
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-12-01 16:28 +0100
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-30 12:39 +0100
            Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-24 14:10 +0200
            Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 04:29 -0800
        Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-11-23 21:39 -0600
          Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 11:45 +0000
            Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-24 13:57 +0200
              Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 12:56 +0000
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-24 15:17 +0200
                Re: _BitInt(N) David Brown <david.brown@hesbynett.no> - 2025-11-24 15:59 +0100
            Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 05:35 -0800
              Re: _BitInt(N) bart <bc@freeuk.com> - 2025-11-24 14:21 +0000
                Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-11-24 13:12 -0600
                Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 17:00 -0800
                Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-11-24 20:10 -0600
                Re: _BitInt(N) Philipp Klaus Krause <pkk@spth.de> - 2025-11-29 22:30 +0100
                Re: _BitInt(N) antispam@fricas.org (Waldek Hebisch) - 2025-11-30 01:51 +0000
                Re: _BitInt(N) Michael S <already5chosen@yahoo.com> - 2025-11-30 11:22 +0200
          Re: _BitInt(N) Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-24 04:37 -0800
            Re: _BitInt(N) BGB <cr88192@gmail.com> - 2025-11-24 11:52 -0600

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