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I know everybody is currently at the San Diego WG21 meeting, but I just
posted the attached draft 1 paper to WG14 C programming language committee
for feedback.

The attached paper is NOT intended to replace P0539. Rather, it proposes
implementing a subset of P0539 directly into the C programming language
(and thus, by extension, C++).

The attached paper already received considerable WG14 input before I wrote
it, and hence its very-easy-to-implement-for-compilers design.

I don't expect this paper to go before WG21, but I nevertheless welcome
feedback and input from std-proposals.

Thanks,
Niall

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<div dir=3D"ltr">I know everybody is currently at the San Diego WG21 meetin=
g, but I just posted the attached draft 1 paper to WG14 C programming langu=
age committee for feedback.<div><br></div><div>The attached paper is NOT in=
tended to replace P0539. Rather, it proposes implementing a subset of P0539=
 directly into the C programming language (and thus, by extension, C++).</d=
iv><div><br></div><div>The attached paper already received considerable WG1=
4 input before I wrote it, and hence its very-easy-to-implement-for-compile=
rs design.</div><div><br></div><div>I don&#39;t expect this paper to go bef=
ore WG21, but I nevertheless welcome feedback and input from std-proposals.=
</div><div><br></div><div>Thanks,</div><div>Niall</div></div>

<p></p>

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To post to this group, send email to <a href=3D"mailto:std-proposals@isocpp=
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To view this discussion on the web visit <a href=3D"https://groups.google.c=
om/a/isocpp.org/d/msgid/std-proposals/236435db-c255-48a6-940a-6b0ddf0481aa%=
40isocpp.org?utm_medium=3Demail&utm_source=3Dfooter">https://groups.google.=
com/a/isocpp.org/d/msgid/std-proposals/236435db-c255-48a6-940a-6b0ddf0481aa=
%40isocpp.org</a>.<br />

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On Monday, November 5, 2018 at 1:58:34 PM UTC-5, Niall Douglas wrote:
>
> I know everybody is currently at the San Diego WG21 meeting, but I just=
=20
> posted the attached draft 1 paper to WG14 C programming language committe=
e=20
> for feedback.
>
> The attached paper is NOT intended to replace P0539. Rather, it proposes=
=20
> implementing a subset of P0539 directly into the C programming language=
=20
> (and thus, by extension, C++).
>
> The attached paper already received considerable WG14 input before I wrot=
e=20
> it, and hence its very-easy-to-implement-for-compilers design.
>
> I don't expect this paper to go before WG21, but I nevertheless welcome=
=20
> feedback and input from std-proposals.
>

I don't 100% buy the direction of the paper, but nevertheless, kudos for=20
putting together Table 1 (page 2) with a Godbolt link!  That's good=20
research right there, and definitely shows that P0539's reference=20
implementation is troubling.

I tend to think that the "library-only" approach *would* work fine, *if=20
only* we could get the proper primitives into the standard library. For=20
example, if we had something like _addcarry_u64, but without the pointer=20
parameter. These primitives will be generally useful; and then things like=
=20
std::uintN_t<256> can be built on top of them. Right now it feels like=20
P0539 (and John McFarlane's P0554/P0828) are trying to build uintN_t=20
without any access to the appropriate primitives.

Nit on the WG14 proposal: Surely the proper name for the new header is=20
<stdwide.h>, not <stdwint.h>?  Or if we must have <stdwint.h>, can we get=
=20
<stdkidd.h> <https://en.wikipedia.org/wiki/Mr._Wint_and_Mr._Kidd> to go=20
with it?

Nit on the WG14 proposal: Several instances of "twos-power" should be=20
"power-of-two".

Major issue on the WG14 proposal: The proposed "**" widening multiplication=
=20
operator comes out of nowhere. Not only would this be inconsistent with=20
every other programming language (where "**" generally means=20
"exponentiation"), but it would be a lexer-breaking change for C and C++=20
because two consecutive stars can already appear in valid code. Why not=20
just propose a library function `z =3D widening_multiply(x, y)` that does t=
he=20
same thing but without breaking any existing lexers? C already has _Generic=
=20
functions (as of C11) which means you don't need to create a new operator=
=20
to form an overload set in C. You can just do the same thing that e.g.=20
`sin(x)` does.

(I think `_Generic` works only on closed sets of types, not open-ended=20
sets; but the set of all `_Wide(N) int` types is closed in practice,=20
because implementations will not allow anything larger than about `_Wide(1=
=20
<< 30)`. So there are only at most 30 wide types =E2=80=94 well within the=
=20
capabilities of C11 `_Generic` as far as I know.)

Question/issue on the WG14 proposal: Does there exist any space-efficient=
=20
algorithm for printing a `_Wide(1 << 20) int` in base 10? Or are you=20
proposing to allow printing them only in bases 8 and 16? The wording in=20
section 3.11 is too vague to be sure.

=E2=80=93Arthur

--=20
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<div dir=3D"ltr">On Monday, November 5, 2018 at 1:58:34 PM UTC-5, Niall Dou=
glas wrote:<blockquote class=3D"gmail_quote" style=3D"margin: 0;margin-left=
: 0.8ex;border-left: 1px #ccc solid;padding-left: 1ex;"><div dir=3D"ltr">I =
know everybody is currently at the San Diego WG21 meeting, but I just poste=
d the attached draft 1 paper to WG14 C programming language committee for f=
eedback.<div><br></div><div>The attached paper is NOT intended to replace P=
0539. Rather, it proposes implementing a subset of P0539 directly into the =
C programming language (and thus, by extension, C++).</div><div><br></div><=
div>The attached paper already received considerable WG14 input before I wr=
ote it, and hence its very-easy-to-implement-for-<wbr>compilers design.</di=
v><div><br></div><div>I don&#39;t expect this paper to go before WG21, but =
I nevertheless welcome feedback and input from std-proposals.</div></div></=
blockquote><div><br></div><div>I don&#39;t 100% buy the direction of the pa=
per, but nevertheless, kudos for putting together Table 1 (page 2) with a G=
odbolt link! =C2=A0That&#39;s good research right there, and definitely sho=
ws that P0539&#39;s reference implementation is troubling.</div><div><br></=
div><div>I tend to think that the &quot;library-only&quot; approach <i>woul=
d</i> work fine, <i>if only</i> we could get the proper primitives into the=
 standard library. For example, if we had something like _addcarry_u64, but=
 without the pointer parameter. These primitives will be generally useful; =
and then things like std::uintN_t&lt;256&gt; can be built on top of them. R=
ight now it feels like P0539 (and John McFarlane&#39;s P0554/P0828) are try=
ing to build uintN_t without any access to the appropriate primitives.</div=
><div><br></div><div>Nit on the WG14 proposal: Surely the proper name for t=
he new header is &lt;stdwide.h&gt;, not &lt;stdwint.h&gt;? =C2=A0Or if we m=
ust have &lt;stdwint.h&gt;, can we get <a href=3D"https://en.wikipedia.org/=
wiki/Mr._Wint_and_Mr._Kidd">&lt;stdkidd.h&gt;</a> to go with it?</div><div>=
<br></div><div>Nit on the WG14 proposal: Several instances of &quot;twos-po=
wer&quot; should be &quot;power-of-two&quot;.</div><div><br></div><div>Majo=
r issue on the WG14 proposal: The proposed &quot;**&quot; widening multipli=
cation operator comes out of nowhere. Not only would this be inconsistent w=
ith every other programming language (where &quot;**&quot; generally means =
&quot;exponentiation&quot;), but it would be a lexer-breaking change for C =
and C++ because two consecutive stars can already appear in valid code. Why=
 not just propose a library function `z =3D widening_multiply(x, y)` that d=
oes the same thing but without breaking any existing lexers? C already has =
_Generic functions (as of C11) which means you don&#39;t need to create a n=
ew operator to form an overload set in C. You can just do the same thing th=
at e.g. `sin(x)` does.</div><div><br></div><div>(I think `_Generic` works o=
nly on closed sets of types, not open-ended sets; but the set of all `_Wide=
(N) int` types is closed in practice, because implementations will not allo=
w anything larger than about `_Wide(1 &lt;&lt; 30)`. So there are only at m=
ost 30 wide types =E2=80=94 well within the capabilities of C11 `_Generic` =
as far as I know.)</div><div><br></div><div>Question/issue on the WG14 prop=
osal: Does there exist any space-efficient algorithm for printing a `_Wide(=
1 &lt;&lt; 20) int` in base 10? Or are you proposing to allow printing them=
 only in bases 8 and 16? The wording in section 3.11 is too vague to be sur=
e.</div><div><br></div><div>=E2=80=93Arthur</div></div>

<p></p>

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>
> I tend to think that the "library-only" approach *would* work fine, *if
> only* we could get the proper primitives into the standard library. For
> example, if we had something like _addcarry_u64, but without the pointer
> parameter. These primitives will be generally useful; and then things like
> std::uintN_t<256> can be built on top of them. Right now it feels like
> P0539 (and John McFarlane's P0554/P0828) are trying to build uintN_t
> without any access to the appropriate primitives.
>

I think C++ will never standardise support for carry and overload
arithmetic. Too many CPUs don't support it.

And besides, *it solves the wrong problem*. Don't tell the compiler how to
implement bigint. Tell it you want bigint. Let it sort out an
implementation.


>
> Nit on the WG14 proposal: Surely the proper name for the new header is
> <stdwide.h>, not <stdwint.h>?  Or if we must have <stdwint.h>, can we get
> <stdkidd.h> <https://en.wikipedia.org/wiki/Mr._Wint_and_Mr._Kidd> to go
> with it?
>

Well, I wouldn't want to consume the name for something standard and wide
in the future. stdwint is at least consistent with stdint. Bond villans
aside, of course.


>
> Major issue on the WG14 proposal: The proposed "**" widening
> multiplication operator comes out of nowhere. Not only would this be
> inconsistent with every other programming language (where "**" generally
> means "exponentiation"), but it would be a lexer-breaking change for C and
> C++ because two consecutive stars can already appear in valid code. Why not
> just propose a library function `z = widening_multiply(x, y)` that does the
> same thing but without breaking any existing lexers? C already has _Generic
> functions (as of C11) which means you don't need to create a new operator
> to form an overload set in C. You can just do the same thing that e.g.
> `sin(x)` does.
>

It *may* be the case that ordinary multiply can reliably do widening
multiplication with compiler unknown values, and so no extra operator is
needed.

I specifically included the widening multiplication operator because these
wide integers are a bit different from normal integers, specifically the
compiler is not required to understand them (they are just a bunch of bits
as far as the compiler knows). That means no constant folding, no common
subexpression elimination, and so on (though implementations can optionally
choose to implement those).

I had been assuming that this would require the programmer to tell the
compiler what to do. But a compiler writer on WG14 seems to think it'll be
okay, just cast the inputs to the larger output type and multiply. The
compiler, even without knowing anything about multiply, should correctly
not call the twice-too-large multiply routine.


>
> Question/issue on the WG14 proposal: Does there exist any space-efficient
> algorithm for printing a `_Wide(1 << 20) int` in base 10? Or are you
> proposing to allow printing them only in bases 8 and 16? The wording in
> section 3.11 is too vague to be sure.
>

WG14 want the maximum size of these to be no more than the compiler's
maximum alignment for the target architecture, which I find reasonable.
That's currently 1024 bits on GCC x64.

Niall

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<div dir=3D"ltr"><blockquote class=3D"gmail_quote" style=3D"margin: 0;margi=
n-left: 0.8ex;border-left: 1px #ccc solid;padding-left: 1ex;"><div dir=3D"l=
tr"><div>I tend to think that the &quot;library-only&quot; approach <i>woul=
d</i> work fine, <i>if only</i> we could get the proper primitives into the=
 standard library. For example, if we had something like _addcarry_u64, but=
 without the pointer parameter. These primitives will be generally useful; =
and then things like std::uintN_t&lt;256&gt; can be built on top of them. R=
ight now it feels like P0539 (and John McFarlane&#39;s P0554/P0828) are try=
ing to build uintN_t without any access to the appropriate primitives.</div=
></div></blockquote><div><br></div><div>I think C++ will never standardise =
support for carry and overload arithmetic. Too many CPUs don&#39;t support =
it.</div><div><br></div><div>And besides, <i>it solves the wrong problem</i=
>. Don&#39;t tell the compiler how to implement bigint. Tell it you want bi=
gint. Let it sort out an implementation.</div><div>=C2=A0</div><blockquote =
class=3D"gmail_quote" style=3D"margin: 0;margin-left: 0.8ex;border-left: 1p=
x #ccc solid;padding-left: 1ex;"><div dir=3D"ltr"><div><br></div><div>Nit o=
n the WG14 proposal: Surely the proper name for the new header is &lt;stdwi=
de.h&gt;, not &lt;stdwint.h&gt;? =C2=A0Or if we must have &lt;stdwint.h&gt;=
, can we get <a href=3D"https://en.wikipedia.org/wiki/Mr._Wint_and_Mr._Kidd=
" target=3D"_blank" rel=3D"nofollow" onmousedown=3D"this.href=3D&#39;https:=
//www.google.com/url?q\x3dhttps%3A%2F%2Fen.wikipedia.org%2Fwiki%2FMr._Wint_=
and_Mr._Kidd\x26sa\x3dD\x26sntz\x3d1\x26usg\x3dAFQjCNE4xhUcM5q7NO8j0KLrgrtW=
JfGGuQ&#39;;return true;" onclick=3D"this.href=3D&#39;https://www.google.co=
m/url?q\x3dhttps%3A%2F%2Fen.wikipedia.org%2Fwiki%2FMr._Wint_and_Mr._Kidd\x2=
6sa\x3dD\x26sntz\x3d1\x26usg\x3dAFQjCNE4xhUcM5q7NO8j0KLrgrtWJfGGuQ&#39;;ret=
urn true;">&lt;stdkidd.h&gt;</a> to go with it?</div></div></blockquote><di=
v><br></div><div>Well, I wouldn&#39;t want to consume the name for somethin=
g standard and wide in the future. stdwint is at least consistent with stdi=
nt. Bond villans aside, of course.</div><div>=C2=A0</div><blockquote class=
=3D"gmail_quote" style=3D"margin: 0;margin-left: 0.8ex;border-left: 1px #cc=
c solid;padding-left: 1ex;"><div dir=3D"ltr"><div><br></div><div>Major issu=
e on the WG14 proposal: The proposed &quot;**&quot; widening multiplication=
 operator comes out of nowhere. Not only would this be inconsistent with ev=
ery other programming language (where &quot;**&quot; generally means &quot;=
exponentiation&quot;), but it would be a lexer-breaking change for C and C+=
+ because two consecutive stars can already appear in valid code. Why not j=
ust propose a library function `z =3D widening_multiply(x, y)` that does th=
e same thing but without breaking any existing lexers? C already has _Gener=
ic functions (as of C11) which means you don&#39;t need to create a new ope=
rator to form an overload set in C. You can just do the same thing that e.g=
.. `sin(x)` does.</div></div></blockquote><div><br></div><div>It <i>may</i>=
=C2=A0be the case that ordinary multiply can reliably do widening multiplic=
ation with compiler unknown values, and so no extra operator is needed.</di=
v><div><br></div><div>I specifically included the widening multiplication o=
perator because these wide integers are a bit different from normal integer=
s, specifically the compiler is not required to understand them (they are j=
ust a bunch of bits as far as the compiler knows). That means no constant f=
olding, no common subexpression elimination, and so on (though implementati=
ons can optionally choose to implement those).</div><div><br></div><div>I h=
ad been assuming that this would require the programmer to tell the compile=
r what to do. But a compiler writer on WG14 seems to think it&#39;ll be oka=
y, just cast the inputs to the larger output type and multiply. The compile=
r, even without knowing anything about multiply, should correctly not call =
the twice-too-large multiply routine.</div><div>=C2=A0</div><blockquote cla=
ss=3D"gmail_quote" style=3D"margin: 0;margin-left: 0.8ex;border-left: 1px #=
ccc solid;padding-left: 1ex;"><div dir=3D"ltr"><div><br></div><div>Question=
/issue on the WG14 proposal: Does there exist any space-efficient algorithm=
 for printing a `_Wide(1 &lt;&lt; 20) int` in base 10? Or are you proposing=
 to allow printing them only in bases 8 and 16? The wording in section 3.11=
 is too vague to be sure.</div></div></blockquote><div><br></div><div>WG14 =
want the maximum size of these to be no more than the compiler&#39;s maximu=
m alignment for the target architecture, which I find reasonable. That&#39;=
s currently 1024 bits on GCC x64.</div><div><br></div><div>Niall</div></div=
>

<p></p>

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%40isocpp.org</a>.<br />

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On Tue, 6 Nov 2018 at 19:01 Niall Douglas <nialldouglas14@gmail.com> wrote:

> I tend to think that the "library-only" approach *would* work fine, *if
>> only* we could get the proper primitives into the standard library. For
>> example, if we had something like _addcarry_u64, but without the pointer
>> parameter. These primitives will be generally useful; and then things like
>> std::uintN_t<256> can be built on top of them. Right now it feels like
>> P0539 (and John McFarlane's P0554/P0828) are trying to build uintN_t
>> without any access to the appropriate primitives.
>>
>
> I think C++ will never standardise support for carry and overload
> arithmetic. Too many CPUs don't support it.
>
> And besides, *it solves the wrong problem*. Don't tell the compiler how
> to implement bigint. Tell it you want bigint. Let it sort out an
> implementation.
>

I agree that carry flags can (hopefully) remain an implementation detail.
I'm not sure how a library solution won't suffice -- other than that it's
of no use to WG14.

(If GCC/Clang's equivalent intrinsics are anything to go by, I don't see
how pointers pose a problem. Yes, it's an ugly interface but should be
constexpr-friendly in latest tools and language revision.)

Regarding the efficiency of P0539, don't judge it by the implementation
which, AFAIK, only implements bytewise arithmetic. I still think it's the
wrong API but for more reasons than just performance.

>
>
>>
>> Nit on the WG14 proposal: Surely the proper name for the new header is
>> <stdwide.h>, not <stdwint.h>?  Or if we must have <stdwint.h>, can we get
>> <stdkidd.h> <https://en.wikipedia.org/wiki/Mr._Wint_and_Mr._Kidd> to go
>> with it?
>>
>
> Well, I wouldn't want to consume the name for something standard and wide
> in the future. stdwint is at least consistent with stdint. Bond villans
> aside, of course.
>
>
>>
>> Major issue on the WG14 proposal: The proposed "**" widening
>> multiplication operator comes out of nowhere. Not only would this be
>> inconsistent with every other programming language (where "**" generally
>> means "exponentiation"), but it would be a lexer-breaking change for C and
>> C++ because two consecutive stars can already appear in valid code. Why not
>> just propose a library function `z = widening_multiply(x, y)` that does the
>> same thing but without breaking any existing lexers? C already has _Generic
>> functions (as of C11) which means you don't need to create a new operator
>> to form an overload set in C. You can just do the same thing that e.g.
>> `sin(x)` does.
>>
>
> It *may* be the case that ordinary multiply can reliably do widening
> multiplication with compiler unknown values, and so no extra operator is
> needed.
>
> I specifically included the widening multiplication operator because these
> wide integers are a bit different from normal integers, specifically the
> compiler is not required to understand them (they are just a bunch of bits
> as far as the compiler knows). That means no constant folding, no common
> subexpression elimination, and so on (though implementations can optionally
> choose to implement those).
>
> I had been assuming that this would require the programmer to tell the
> compiler what to do. But a compiler writer on WG14 seems to think it'll be
> okay, just cast the inputs to the larger output type and multiply. The
> compiler, even without knowing anything about multiply, should correctly
> not call the twice-too-large multiply routine.
>

I am not surprised to hear that. I would not pursue `**`.


>

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Content-Type: text/html; charset="UTF-8"
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<div dir=3D"ltr"><div class=3D"gmail_quote"><div dir=3D"ltr">On Tue, 6 Nov =
2018 at 19:01 Niall Douglas &lt;<a href=3D"mailto:nialldouglas14@gmail.com"=
 target=3D"_blank">nialldouglas14@gmail.com</a>&gt; wrote:<br></div><blockq=
uote class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc =
solid;padding-left:1ex"><div dir=3D"ltr"><blockquote class=3D"gmail_quote" =
style=3D"margin:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left=
:1ex"><div dir=3D"ltr"><div>I tend to think that the &quot;library-only&quo=
t; approach <i>would</i> work fine, <i>if only</i> we could get the proper =
primitives into the standard library. For example, if we had something like=
 _addcarry_u64, but without the pointer parameter. These primitives will be=
 generally useful; and then things like std::uintN_t&lt;256&gt; can be buil=
t on top of them. Right now it feels like P0539 (and John McFarlane&#39;s P=
0554/P0828) are trying to build uintN_t without any access to the appropria=
te primitives.</div></div></blockquote><div><br></div></div><div dir=3D"ltr=
"><div>I think C++ will never standardise support for carry and overload ar=
ithmetic. Too many CPUs don&#39;t support it.</div><div><br></div><div>And =
besides, <i>it solves the wrong problem</i>. Don&#39;t tell the compiler ho=
w to implement bigint. Tell it you want bigint. Let it sort out an implemen=
tation.</div></div></blockquote><div><br></div><div>I agree that carry flag=
s can (hopefully) remain an implementation detail. I&#39;m not sure how a l=
ibrary solution won&#39;t suffice -- other than that it&#39;s of no use to =
WG14.</div><div><br></div><div>(If GCC/Clang&#39;s equivalent intrinsics ar=
e anything to go by, I don&#39;t see how pointers pose a problem. Yes, it&#=
39;s an ugly interface but should be constexpr-friendly in latest tools and=
 language revision.)</div><div><br></div><div>Regarding the efficiency of P=
0539, don&#39;t judge it by the implementation which, AFAIK, only implement=
s bytewise arithmetic. I still think it&#39;s the wrong API but for more re=
asons than just performance.</div><blockquote class=3D"gmail_quote" style=
=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=
=3D"ltr"><div>=C2=A0</div><blockquote class=3D"gmail_quote" style=3D"margin=
:0;margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=
=3D"ltr"><div><br></div><div>Nit on the WG14 proposal: Surely the proper na=
me for the new header is &lt;stdwide.h&gt;, not &lt;stdwint.h&gt;?=C2=A0 Or=
 if we must have &lt;stdwint.h&gt;, can we get <a href=3D"https://en.wikipe=
dia.org/wiki/Mr._Wint_and_Mr._Kidd" rel=3D"nofollow" target=3D"_blank">&lt;=
stdkidd.h&gt;</a> to go with it?</div></div></blockquote><div><br></div></d=
iv><div dir=3D"ltr"><div>Well, I wouldn&#39;t want to consume the name for =
something standard and wide in the future. stdwint is at least consistent w=
ith stdint. Bond villans aside, of course.</div></div><div dir=3D"ltr"><div=
>=C2=A0</div><blockquote class=3D"gmail_quote" style=3D"margin:0;margin-lef=
t:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"ltr"><div>=
<br></div><div>Major issue on the WG14 proposal: The proposed &quot;**&quot=
; widening multiplication operator comes out of nowhere. Not only would thi=
s be inconsistent with every other programming language (where &quot;**&quo=
t; generally means &quot;exponentiation&quot;), but it would be a lexer-bre=
aking change for C and C++ because two consecutive stars can already appear=
 in valid code. Why not just propose a library function `z =3D widening_mul=
tiply(x, y)` that does the same thing but without breaking any existing lex=
ers? C already has _Generic functions (as of C11) which means you don&#39;t=
 need to create a new operator to form an overload set in C. You can just d=
o the same thing that e.g. `sin(x)` does.</div></div></blockquote><div><br>=
</div></div><div dir=3D"ltr"><div>It <i>may</i>=C2=A0be the case that ordin=
ary multiply can reliably do widening multiplication with compiler unknown =
values, and so no extra operator is needed.</div><div><br></div><div>I spec=
ifically included the widening multiplication operator because these wide i=
ntegers are a bit different from normal integers, specifically the compiler=
 is not required to understand them (they are just a bunch of bits as far a=
s the compiler knows). That means no constant folding, no common subexpress=
ion elimination, and so on (though implementations can optionally choose to=
 implement those).</div><div><br></div><div>I had been assuming that this w=
ould require the programmer to tell the compiler what to do. But a compiler=
 writer on WG14 seems to think it&#39;ll be okay, just cast the inputs to t=
he larger output type and multiply. The compiler, even without knowing anyt=
hing about multiply, should correctly not call the twice-too-large multiply=
 routine.</div></div></blockquote><div><br></div><div>I am not surprised to=
 hear that. I would not pursue `**`.=C2=A0</div><div><br></div><blockquote =
class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid=
;padding-left:1ex"><br>
</blockquote></div></div><span>
</span>

<p></p>

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>
>
>> And besides, *it solves the wrong problem*. Don't tell the compiler how
>> to implement bigint. Tell it you want bigint. Let it sort out an
>> implementation.
>>
>
> I agree that carry flags can (hopefully) remain an implementation detail.
> I'm not sure how a library solution won't suffice -- other than that it's
> of no use to WG14.
>
>>
>>
Can you show me a library solution which causes the compiler to generate
optimum codegen for extended precision integers, and which does not use
non-standard C++?

(Funnily enough, a "stupid" fixed implementation library implementation of
my proposal based on _Generic I think is very close to possible, but I am
unaware of any implementation in existence. You have a lot more experience
in this domain than I do though)

Niall

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<div dir=3D"ltr"><blockquote class=3D"gmail_quote" style=3D"margin: 0;margi=
n-left: 0.8ex;border-left: 1px #ccc solid;padding-left: 1ex;"><div dir=3D"l=
tr"><div class=3D"gmail_quote"><blockquote class=3D"gmail_quote" style=3D"m=
argin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"l=
tr"><div><br></div><div>And besides, <i>it solves the wrong problem</i>. Do=
n&#39;t tell the compiler how to implement bigint. Tell it you want bigint.=
 Let it sort out an implementation.</div></div></blockquote><div><br></div>=
<div>I agree that carry flags can (hopefully) remain an implementation deta=
il. I&#39;m not sure how a library solution won&#39;t suffice -- other than=
 that it&#39;s of no use to WG14.</div><blockquote class=3D"gmail_quote" st=
yle=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><br><=
/blockquote></div></div></blockquote><div><br></div><div>Can you show me a =
library solution which causes the compiler to generate optimum codegen for =
extended precision integers, and which does not use non-standard C++?</div>=
<div><br></div><div>(Funnily enough, a &quot;stupid&quot; fixed implementat=
ion library implementation of my proposal based on _Generic I think is very=
 close to possible, but I am unaware of any implementation in existence. Yo=
u have a lot more experience in this domain than I do though)</div><div><br=
></div><div>Niall</div><div><br></div></div>

<p></p>

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On Thu, 8 Nov 2018 at 08:59 Niall Douglas <nialldouglas14@gmail.com> wrote:

>
>>> And besides, *it solves the wrong problem*. Don't tell the compiler how
>>> to implement bigint. Tell it you want bigint. Let it sort out an
>>> implementation.
>>>
>>
>> I agree that carry flags can (hopefully) remain an implementation detail.
>> I'm not sure how a library solution won't suffice -- other than that it's
>> of no use to WG14.
>>
>>>
>>>
> Can you show me a library solution which causes the compiler to generate
> optimum codegen for extended precision integers, and which does not use
> non-standard C++?
>

Perhaps your idea of sufficient is different to mine. Yes, if you want a
library implementation that doesn't use magic then you'll either need
native wide integers or we standardize the built-ins that already exist in
compilers, e.g. __builtin_add_overflow.


> (Funnily enough, a "stupid" fixed implementation library implementation of
> my proposal based on _Generic I think is very close to possible, but I am
> unaware of any implementation in existence. You have a lot more experience
> in this domain than I do though)
>

I'm working on it currently. I've just got on to the division operator. Ask
me again next year. :S

>
> Niall
>
> --
> You received this message because you are subscribed to the Google Groups
> "ISO C++ Standard - Future Proposals" group.
> To unsubscribe from this group and stop receiving emails from it, send an
> email to std-proposals+unsubscribe@isocpp.org.
> To post to this group, send email to std-proposals@isocpp.org.
> To view this discussion on the web visit
> https://groups.google.com/a/isocpp.org/d/msgid/std-proposals/a4b9c3d3-1b3c-4c90-bc98-124106e6d980%40isocpp.org
> <https://groups.google.com/a/isocpp.org/d/msgid/std-proposals/a4b9c3d3-1b3c-4c90-bc98-124106e6d980%40isocpp.org?utm_medium=email&utm_source=footer>
> .
>

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<div dir=3D"ltr"><div class=3D"gmail_quote"><div dir=3D"ltr">On Thu, 8 Nov =
2018 at 08:59 Niall Douglas &lt;<a href=3D"mailto:nialldouglas14@gmail.com"=
>nialldouglas14@gmail.com</a>&gt; wrote:<br></div><blockquote class=3D"gmai=
l_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left=
:1ex"><div dir=3D"ltr"><blockquote class=3D"gmail_quote" style=3D"margin:0;=
margin-left:0.8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"=
ltr"><div class=3D"gmail_quote"><blockquote class=3D"gmail_quote" style=3D"=
margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"=
ltr"><div><br></div><div>And besides, <i>it solves the wrong problem</i>. D=
on&#39;t tell the compiler how to implement bigint. Tell it you want bigint=
.. Let it sort out an implementation.</div></div></blockquote><div><br></div=
><div>I agree that carry flags can (hopefully) remain an implementation det=
ail. I&#39;m not sure how a library solution won&#39;t suffice -- other tha=
n that it&#39;s of no use to WG14.</div><blockquote class=3D"gmail_quote" s=
tyle=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><br>=
</blockquote></div></div></blockquote><div><br></div></div><div dir=3D"ltr"=
><div>Can you show me a library solution which causes the compiler to gener=
ate optimum codegen for extended precision integers, and which does not use=
 non-standard C++?</div></div></blockquote><div><br></div><div>Perhaps your=
 idea of sufficient is different to mine. Yes, if you want a library implem=
entation that doesn&#39;t use magic then you&#39;ll either need native wide=
 integers or we standardize the built-ins that already exist in compilers, =
e.g.=C2=A0__builtin_add_overflow.</div><div><br></div><blockquote class=3D"=
gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-=
left:1ex"><div dir=3D"ltr"><div><br></div><div>(Funnily enough, a &quot;stu=
pid&quot; fixed implementation library implementation of my proposal based =
on _Generic I think is very close to possible, but I am unaware of any impl=
ementation in existence. You have a lot more experience in this domain than=
 I do though)</div></div></blockquote><div><br></div><div>I&#39;m working o=
n it currently. I&#39;ve just got on to the division operator. Ask me again=
 next year. :S</div><blockquote class=3D"gmail_quote" style=3D"margin:0 0 0=
 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"ltr"><div><b=
r></div><div>Niall</div><div><br></div></div>

<p></p>

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4c90-bc98-124106e6d980%40isocpp.org</a>.<br>
</blockquote></div></div>

<p></p>

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On Thu, Nov 8, 2018 at 3:18 AM John McFarlane <john@mcfarlane.name> wrote:

> On Tue, 6 Nov 2018 at 19:01 Niall Douglas <nialldouglas14@gmail.com>
> wrote:
>
>> I tend to think that the "library-only" approach *would* work fine, *if
>>> only* we could get the proper primitives into the standard library. For
>>> example, if we had something like _addcarry_u64, but without the pointe=
r
>>> parameter. These primitives will be generally useful; and then things l=
ike
>>> std::uintN_t<256> can be built on top of them. Right now it feels like
>>> P0539 (and John McFarlane's P0554/P0828) are trying to build uintN_t
>>> without any access to the appropriate primitives.
>>>
>>
>> I think C++ will never standardise support for carry and overload
>> arithmetic. Too many CPUs don't support it.
>>
>> And besides, *it solves the wrong problem*. Don't tell the compiler how
>> to implement bigint. Tell it you want bigint. Let it sort out an
>> implementation.
>>
>
> I agree that carry flags can (hopefully) remain an implementation detail.
> I'm not sure how a library solution won't suffice -- other than that it's
> of no use to WG14.
>
> (If GCC/Clang's equivalent intrinsics are anything to go by, I don't see
> how pointers pose a problem. Yes, it's an ugly interface but should be
> constexpr-friendly in latest tools and language revision.)
>
> Regarding the efficiency of P0539, don't judge it by the implementation
> which, AFAIK, only implements bytewise arithmetic. I still think it's the
> wrong API but for more reasons than just performance.
>

"Don't judge this numerics library by its performance" doesn't sound
acceptable to me. I mean, performance seems like just about the only thing
we *should* be judging. Would you (or anyone) say you're confident that the
performance problems can be overcome? Do we have a proof-of-concept
somewhere that shows we can get perfect codegen for *any one* test case?

I trust the inliner on all modern compilers (except maybe MSVC). If someone
can provide C++ code (standard or non-standard, I don't care) that
implements 256-bit and 512-bit arithmetic with ugly C++ but perfect codegen
on at least one compiler, then I'll gladly donate a day of my time to
refactoring the C++ code into something more ergonomic.

Here's a perfect-codegen proof of concept for 128-bit operator+.
https://godbolt.org/z/UlwPA6
Here's an intrinsic-less proof of concept for 128-bit operator+, but it
falls down pretty badly on 256-bit operator+.
https://godbolt.org/z/Y3_Z89

Since I can't even get to 256-bit operator+ on my own, I'm by default
skeptical that anyone can get to N-bit all-the-operators. That's why I want
to see a proof of concept, and why I think it's so important to look at the
codegen of the existing libraries and demonstrate (as Niall has
demonstrated) that they're all horrible. We shouldn't standardize something
that's horrible.

Why are current libraries horrible? If it's because their authors are
"digging with spoons instead of shovels," then we should ask them what
shovels they'd need in order to do a good job. (For example, would it help
to have "widening add" and "widening multiply" algorithms in the Standard
Library?)

=E2=80=93Arthur

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<div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr">On Thu, Nov 8, 2018 at 3=
:18 AM John McFarlane &lt;<a href=3D"mailto:john@mcfarlane.name">john@mcfar=
lane.name</a>&gt; wrote:<br><div class=3D"gmail_quote"><blockquote class=3D=
"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left-width:1px;borde=
r-left-style:solid;border-left-color:rgb(204,204,204);padding-left:1ex"><di=
v dir=3D"ltr"><div class=3D"gmail_quote"><div dir=3D"ltr">On Tue, 6 Nov 201=
8 at 19:01 Niall Douglas &lt;<a href=3D"mailto:nialldouglas14@gmail.com" ta=
rget=3D"_blank">nialldouglas14@gmail.com</a>&gt; wrote:<br></div><blockquot=
e class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left-width=
:1px;border-left-style:solid;border-left-color:rgb(204,204,204);padding-lef=
t:1ex"><div dir=3D"ltr"><blockquote class=3D"gmail_quote" style=3D"margin:0=
px 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-=
color:rgb(204,204,204);padding-left:1ex"><div dir=3D"ltr"><div>I tend to th=
ink that the &quot;library-only&quot; approach <i>would</i> work fine, <i>i=
f only</i> we could get the proper primitives into the standard library. Fo=
r example, if we had something like _addcarry_u64, but without the pointer =
parameter. These primitives will be generally useful; and then things like =
std::uintN_t&lt;256&gt; can be built on top of them. Right now it feels lik=
e P0539 (and John McFarlane&#39;s P0554/P0828) are trying to build uintN_t =
without any access to the appropriate primitives.</div></div></blockquote><=
div><br></div></div><div dir=3D"ltr"><div>I think C++ will never standardis=
e support for carry and overload arithmetic. Too many CPUs don&#39;t suppor=
t it.</div><div><br></div><div>And besides, <i>it solves the wrong problem<=
/i>. Don&#39;t tell the compiler how to implement bigint. Tell it you want =
bigint. Let it sort out an implementation.</div></div></blockquote><div><br=
></div><div>I agree that carry flags can (hopefully) remain an implementati=
on detail. I&#39;m not sure how a library solution won&#39;t suffice -- oth=
er than that it&#39;s of no use to WG14.</div><div><br></div><div>(If GCC/C=
lang&#39;s equivalent intrinsics are anything to go by, I don&#39;t see how=
 pointers pose a problem. Yes, it&#39;s an ugly interface but should be con=
stexpr-friendly in latest tools and language revision.)</div><div><br></div=
><div>Regarding the efficiency of P0539, don&#39;t judge it by the implemen=
tation which, AFAIK, only implements bytewise arithmetic. I still think it&=
#39;s the wrong API but for more reasons than just performance.</div></div>=
</div></blockquote><div><br></div><div>&quot;Don&#39;t judge this numerics =
library by its performance&quot; doesn&#39;t sound acceptable to me. I mean=
, performance seems like just about the only thing we <i>should</i> be judg=
ing. Would you (or anyone) say you&#39;re confident that the performance pr=
oblems can be overcome? Do we have a proof-of-concept somewhere that shows =
we can get perfect codegen for <i>any one</i> test case?</div><div><br></di=
v><div>I trust the inliner on all modern compilers (except maybe MSVC). If =
someone can provide C++ code (standard or non-standard, I don&#39;t care) t=
hat implements 256-bit and 512-bit arithmetic with ugly C++ but perfect cod=
egen on at least one compiler, then I&#39;ll gladly donate a day of my time=
 to refactoring the C++ code into something more ergonomic.</div><div><br><=
/div><div>Here&#39;s a perfect-codegen proof of concept for 128-bit operato=
r+.</div><div><a href=3D"https://godbolt.org/z/UlwPA6">https://godbolt.org/=
z/UlwPA6</a><br></div><div>Here&#39;s an intrinsic-less proof of concept fo=
r 128-bit operator+, but it falls down pretty badly on 256-bit operator+.</=
div><div><a href=3D"https://godbolt.org/z/Y3_Z89">https://godbolt.org/z/Y3_=
Z89</a></div><div><br></div><div>Since I can&#39;t even get to 256-bit oper=
ator+ on my own, I&#39;m by default skeptical that anyone can get to N-bit =
all-the-operators. That&#39;s why I want to see a proof of concept, and why=
 I think it&#39;s so important to look at the codegen of the existing libra=
ries and demonstrate (as Niall has demonstrated) that they&#39;re all horri=
ble. We shouldn&#39;t standardize something that&#39;s horrible.</div><div>=
<br></div><div>Why are current libraries horrible? If it&#39;s because thei=
r authors are &quot;digging with spoons instead of shovels,&quot; then we s=
hould ask them what shovels they&#39;d need in order to do a good job. (For=
 example, would it help to have &quot;widening add&quot; and &quot;widening=
 multiply&quot; algorithms in the Standard Library?)</div><div><br></div><d=
iv>=E2=80=93Arthur</div></div></div></div></div>

<p></p>

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--000000000000b7297a057a52005a--

.

--00000000000018ccf1057a59eddc
Content-Type: text/plain; charset="UTF-8"

On Sat, Nov 10, 2018 at 11:31 AM Arthur O'Dwyer <arthur.j.odwyer@gmail.com>
wrote:

> On Thu, Nov 8, 2018 at 3:18 AM John McFarlane <john@mcfarlane.name> wrote:
>
>> On Tue, 6 Nov 2018 at 19:01 Niall Douglas <nialldouglas14@gmail.com>
>> wrote:
>>
>>> I tend to think that the "library-only" approach *would* work fine, *if
>>>> only* we could get the proper primitives into the standard library.
>>>> For example, if we had something like _addcarry_u64, but without the
>>>> pointer parameter. These primitives will be generally useful; and then
>>>> things like std::uintN_t<256> can be built on top of them. Right now it
>>>> feels like P0539 (and John McFarlane's P0554/P0828) are trying to build
>>>> uintN_t without any access to the appropriate primitives.
>>>>
>>>
>>> I think C++ will never standardise support for carry and overload
>>> arithmetic. Too many CPUs don't support it.
>>>
>>> And besides, *it solves the wrong problem*. Don't tell the compiler how
>>> to implement bigint. Tell it you want bigint. Let it sort out an
>>> implementation.
>>>
>>
>> I agree that carry flags can (hopefully) remain an implementation detail.
>> I'm not sure how a library solution won't suffice -- other than that it's
>> of no use to WG14.
>>
>> (If GCC/Clang's equivalent intrinsics are anything to go by, I don't see
>> how pointers pose a problem. Yes, it's an ugly interface but should be
>> constexpr-friendly in latest tools and language revision.)
>>
>> Regarding the efficiency of P0539, don't judge it by the implementation
>> which, AFAIK, only implements bytewise arithmetic. I still think it's the
>> wrong API but for more reasons than just performance.
>>
>
> "Don't judge this numerics library by its performance" doesn't sound
> acceptable to me. I mean, performance seems like just about the only thing
> we *should* be judging. Would you (or anyone) say you're confident that
> the performance problems can be overcome? Do we have a proof-of-concept
> somewhere that shows we can get perfect codegen for *any one* test case?
>

I don't think anyone is saying that it's acceptable for the performance to
be terrible. But having bignums standardized as a library component as in
P0539 doesn't prevent the implementation from treating std::wide_integer
types as magic types implemented using efficient intrinsics.

--
*Brian Bi*

--
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--00000000000018ccf1057a59eddc
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

<div dir=3D"ltr"><div class=3D"gmail_quote"><div dir=3D"ltr">On Sat, Nov 10=
, 2018 at 11:31 AM Arthur O&#39;Dwyer &lt;<a href=3D"mailto:arthur.j.odwyer=
@gmail.com">arthur.j.odwyer@gmail.com</a>&gt; wrote:<br></div><blockquote c=
lass=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;=
padding-left:1ex"><div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr">On Thu=
, Nov 8, 2018 at 3:18 AM John McFarlane &lt;<a href=3D"mailto:john@mcfarlan=
e.name" target=3D"_blank">john@mcfarlane.name</a>&gt; wrote:<br><div class=
=3D"gmail_quote"><blockquote class=3D"gmail_quote" style=3D"margin:0px 0px =
0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-color:r=
gb(204,204,204);padding-left:1ex"><div dir=3D"ltr"><div class=3D"gmail_quot=
e"><div dir=3D"ltr">On Tue, 6 Nov 2018 at 19:01 Niall Douglas &lt;<a href=
=3D"mailto:nialldouglas14@gmail.com" target=3D"_blank">nialldouglas14@gmail=
..com</a>&gt; wrote:<br></div><blockquote class=3D"gmail_quote" style=3D"mar=
gin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-=
left-color:rgb(204,204,204);padding-left:1ex"><div dir=3D"ltr"><blockquote =
class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left-width:1=
px;border-left-style:solid;border-left-color:rgb(204,204,204);padding-left:=
1ex"><div dir=3D"ltr"><div>I tend to think that the &quot;library-only&quot=
; approach <i>would</i> work fine, <i>if only</i> we could get the proper p=
rimitives into the standard library. For example, if we had something like =
_addcarry_u64, but without the pointer parameter. These primitives will be =
generally useful; and then things like std::uintN_t&lt;256&gt; can be built=
 on top of them. Right now it feels like P0539 (and John McFarlane&#39;s P0=
554/P0828) are trying to build uintN_t without any access to the appropriat=
e primitives.</div></div></blockquote><div><br></div></div><div dir=3D"ltr"=
><div>I think C++ will never standardise support for carry and overload ari=
thmetic. Too many CPUs don&#39;t support it.</div><div><br></div><div>And b=
esides, <i>it solves the wrong problem</i>. Don&#39;t tell the compiler how=
 to implement bigint. Tell it you want bigint. Let it sort out an implement=
ation.</div></div></blockquote><div><br></div><div>I agree that carry flags=
 can (hopefully) remain an implementation detail. I&#39;m not sure how a li=
brary solution won&#39;t suffice -- other than that it&#39;s of no use to W=
G14.</div><div><br></div><div>(If GCC/Clang&#39;s equivalent intrinsics are=
 anything to go by, I don&#39;t see how pointers pose a problem. Yes, it&#3=
9;s an ugly interface but should be constexpr-friendly in latest tools and =
language revision.)</div><div><br></div><div>Regarding the efficiency of P0=
539, don&#39;t judge it by the implementation which, AFAIK, only implements=
 bytewise arithmetic. I still think it&#39;s the wrong API but for more rea=
sons than just performance.</div></div></div></blockquote><div><br></div><d=
iv>&quot;Don&#39;t judge this numerics library by its performance&quot; doe=
sn&#39;t sound acceptable to me. I mean, performance seems like just about =
the only thing we <i>should</i> be judging. Would you (or anyone) say you&#=
39;re confident that the performance problems can be overcome? Do we have a=
 proof-of-concept somewhere that shows we can get perfect codegen for <i>an=
y one</i> test case?<br></div></div></div></div></div></blockquote><div><br=
></div><div>I don&#39;t think anyone is saying that it&#39;s acceptable for=
 the performance to be terrible. But having bignums standardized as a libra=
ry component as in P0539 doesn&#39;t prevent the implementation from treati=
ng std::wide_integer types as magic types implemented using efficient intri=
nsics.<br></div><div>=C2=A0</div></div>-- <br><div dir=3D"ltr" class=3D"gma=
il_signature" data-smartmail=3D"gmail_signature"><div dir=3D"ltr"><div><div=
 dir=3D"ltr"><font color=3D"#c0c0c0"><i>Brian Bi</i></font><br><div></div><=
div></div><div></div></div></div></div></div></div>

<p></p>

-- <br />
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KJBPW8GsPhmOig%40mail.gmail.com?utm_medium=3Demail&utm_source=3Dfooter">htt=
ps://groups.google.com/a/isocpp.org/d/msgid/std-proposals/CAMmfjbN8ZUeA8Amu=
DwPc8rQsPkQ_XWSfLsBUKJBPW8GsPhmOig%40mail.gmail.com</a>.<br />

--00000000000018ccf1057a59eddc--

.

--0000000000000b0b0a057a5e0d80
Content-Type: text/plain; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

On Sat, Nov 10, 2018 at 11:31 AM Arthur O'Dwyer <arthur.j.odwyer@gmail.com>
wrote:

> On Thu, Nov 8, 2018 at 3:18 AM John McFarlane <john@mcfarlane.name> wrote=
:
>
>> On Tue, 6 Nov 2018 at 19:01 Niall Douglas <nialldouglas14@gmail.com>
>> wrote:
>>
>>> I tend to think that the "library-only" approach *would* work fine, *if
>>>> only* we could get the proper primitives into the standard library.
>>>> For example, if we had something like _addcarry_u64, but without the
>>>> pointer parameter. These primitives will be generally useful; and then
>>>> things like std::uintN_t<256> can be built on top of them. Right now i=
t
>>>> feels like P0539 (and John McFarlane's P0554/P0828) are trying to buil=
d
>>>> uintN_t without any access to the appropriate primitives.
>>>>
>>>
>>> I think C++ will never standardise support for carry and overload
>>> arithmetic. Too many CPUs don't support it.
>>>
>>> And besides, *it solves the wrong problem*. Don't tell the compiler how
>>> to implement bigint. Tell it you want bigint. Let it sort out an
>>> implementation.
>>>
>>
>> I agree that carry flags can (hopefully) remain an implementation detail=
..
>> I'm not sure how a library solution won't suffice -- other than that it'=
s
>> of no use to WG14.
>>
>> (If GCC/Clang's equivalent intrinsics are anything to go by, I don't see
>> how pointers pose a problem. Yes, it's an ugly interface but should be
>> constexpr-friendly in latest tools and language revision.)
>>
>> Regarding the efficiency of P0539, don't judge it by the implementation
>> which, AFAIK, only implements bytewise arithmetic. I still think it's th=
e
>> wrong API but for more reasons than just performance.
>>
>
> "Don't judge this numerics library by its performance" doesn't sound
> acceptable to me. I mean, performance seems like just about the only thin=
g
> we *should* be judging. Would you (or anyone) say you're confident that
> the performance problems can be overcome? Do we have a proof-of-concept
> somewhere that shows we can get perfect codegen for *any one* test case?
>
> I trust the inliner on all modern compilers (except maybe MSVC). If
> someone can provide C++ code (standard or non-standard, I don't care) tha=
t
> implements 256-bit and 512-bit arithmetic with ugly C++ but perfect codeg=
en
> on at least one compiler, then I'll gladly donate a day of my time to
> refactoring the C++ code into something more ergonomic.
>
> Here's a perfect-codegen proof of concept for 128-bit operator+.
> https://godbolt.org/z/UlwPA6
> Here's an intrinsic-less proof of concept for 128-bit operator+, but it
> falls down pretty badly on 256-bit operator+.
> https://godbolt.org/z/Y3_Z89
>

Okay, here's a proof of concept for 512-bit operator+.
https://godbolt.org/z/hpcC9t
It still stumbles on operator- and operator< due to codegen issues in Clang=
..
I have filed the codegen issues under existing issue
https://bugs.llvm.org/show_bug.cgi?id=3D24545 .

=E2=80=93Arthur

>

--=20
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--0000000000000b0b0a057a5e0d80
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

<div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr">On Sat, Nov 10, 2018 at =
11:31 AM Arthur O&#39;Dwyer &lt;<a href=3D"mailto:arthur.j.odwyer@gmail.com=
">arthur.j.odwyer@gmail.com</a>&gt; wrote:<br><div class=3D"gmail_quote"><b=
lockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-le=
ft-width:1px;border-left-style:solid;border-left-color:rgb(204,204,204);pad=
ding-left:1ex"><div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr">On Thu, N=
ov 8, 2018 at 3:18 AM John McFarlane &lt;<a href=3D"mailto:john@mcfarlane.n=
ame" target=3D"_blank">john@mcfarlane.name</a>&gt; wrote:<br><div class=3D"=
gmail_quote"><blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px =
0.8ex;border-left-width:1px;border-left-style:solid;border-left-color:rgb(2=
04,204,204);padding-left:1ex"><div dir=3D"ltr"><div class=3D"gmail_quote"><=
div dir=3D"ltr">On Tue, 6 Nov 2018 at 19:01 Niall Douglas &lt;<a href=3D"ma=
ilto:nialldouglas14@gmail.com" target=3D"_blank">nialldouglas14@gmail.com</=
a>&gt; wrote:<br></div><blockquote class=3D"gmail_quote" style=3D"margin:0p=
x 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-c=
olor:rgb(204,204,204);padding-left:1ex"><div dir=3D"ltr"><blockquote class=
=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left-width:1px;bo=
rder-left-style:solid;border-left-color:rgb(204,204,204);padding-left:1ex">=
<div dir=3D"ltr"><div>I tend to think that the &quot;library-only&quot; app=
roach <i>would</i> work fine, <i>if only</i> we could get the proper primit=
ives into the standard library. For example, if we had something like _addc=
arry_u64, but without the pointer parameter. These primitives will be gener=
ally useful; and then things like std::uintN_t&lt;256&gt; can be built on t=
op of them. Right now it feels like P0539 (and John McFarlane&#39;s P0554/P=
0828) are trying to build uintN_t without any access to the appropriate pri=
mitives.</div></div></blockquote><div><br></div></div><div dir=3D"ltr"><div=
>I think C++ will never standardise support for carry and overload arithmet=
ic. Too many CPUs don&#39;t support it.</div><div><br></div><div>And beside=
s, <i>it solves the wrong problem</i>. Don&#39;t tell the compiler how to i=
mplement bigint. Tell it you want bigint. Let it sort out an implementation=
..</div></div></blockquote><div><br></div><div>I agree that carry flags can =
(hopefully) remain an implementation detail. I&#39;m not sure how a library=
 solution won&#39;t suffice -- other than that it&#39;s of no use to WG14.<=
/div><div><br></div><div>(If GCC/Clang&#39;s equivalent intrinsics are anyt=
hing to go by, I don&#39;t see how pointers pose a problem. Yes, it&#39;s a=
n ugly interface but should be constexpr-friendly in latest tools and langu=
age revision.)</div><div><br></div><div>Regarding the efficiency of P0539, =
don&#39;t judge it by the implementation which, AFAIK, only implements byte=
wise arithmetic. I still think it&#39;s the wrong API but for more reasons =
than just performance.</div></div></div></blockquote><div><br></div><div>&q=
uot;Don&#39;t judge this numerics library by its performance&quot; doesn&#3=
9;t sound acceptable to me. I mean, performance seems like just about the o=
nly thing we <i>should</i> be judging. Would you (or anyone) say you&#39;re=
 confident that the performance problems can be overcome? Do we have a proo=
f-of-concept somewhere that shows we can get perfect codegen for <i>any one=
</i> test case?</div><div><br></div><div>I trust the inliner on all modern =
compilers (except maybe MSVC). If someone can provide C++ code (standard or=
 non-standard, I don&#39;t care) that implements 256-bit and 512-bit arithm=
etic with ugly C++ but perfect codegen on at least one compiler, then I&#39=
;ll gladly donate a day of my time to refactoring the C++ code into somethi=
ng more ergonomic.</div><div><br></div><div>Here&#39;s a perfect-codegen pr=
oof of concept for 128-bit operator+.</div><div><a href=3D"https://godbolt.=
org/z/UlwPA6" target=3D"_blank">https://godbolt.org/z/UlwPA6</a><br></div><=
div>Here&#39;s an intrinsic-less proof of concept for 128-bit operator+, bu=
t it falls down pretty badly on 256-bit operator+.</div><div><a href=3D"htt=
ps://godbolt.org/z/Y3_Z89" target=3D"_blank">https://godbolt.org/z/Y3_Z89</=
a></div></div></div></div></div></blockquote><div><br></div><div>Okay, here=
&#39;s a proof of concept for 512-bit operator+.</div><div><a href=3D"https=
://godbolt.org/z/hpcC9t">https://godbolt.org/z/hpcC9t</a><br></div><div>It =
still stumbles on operator- and operator&lt; due to codegen issues in Clang=
..</div><div>I have filed the codegen issues under existing issue <a href=3D=
"https://bugs.llvm.org/show_bug.cgi?id=3D24545">https://bugs.llvm.org/show_=
bug.cgi?id=3D24545</a> .</div><div><br></div><div>=E2=80=93Arthur</div><blo=
ckquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left=
-width:1px;border-left-style:solid;border-left-color:rgb(204,204,204);paddi=
ng-left:1ex">
</blockquote></div></div></div></div>

<p></p>

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om/a/isocpp.org/d/msgid/std-proposals/CADvuK0Ke7WjDO-YcKQ2%2Bzv7j58r18u3c%2=
B4oes5mc4-4Py%3Dc7HA%40mail.gmail.com?utm_medium=3Demail&utm_source=3Dfoote=
r">https://groups.google.com/a/isocpp.org/d/msgid/std-proposals/CADvuK0Ke7W=
jDO-YcKQ2%2Bzv7j58r18u3c%2B4oes5mc4-4Py%3Dc7HA%40mail.gmail.com</a>.<br />

--0000000000000b0b0a057a5e0d80--

.

--000000000000ab946a057a6ad717
Content-Type: text/plain; charset="UTF-8"

On Sat, 10 Nov 2018 at 16:31 Arthur O'Dwyer <arthur.j.odwyer@gmail.com>
wrote:

> On Thu, Nov 8, 2018 at 3:18 AM John McFarlane <john@mcfarlane.name> wrote:
>
>> On Tue, 6 Nov 2018 at 19:01 Niall Douglas <nialldouglas14@gmail.com>
>> wrote:
>>
>>> I tend to think that the "library-only" approach *would* work fine, *if
>>>> only* we could get the proper primitives into the standard library.
>>>> For example, if we had something like _addcarry_u64, but without the
>>>> pointer parameter. These primitives will be generally useful; and then
>>>> things like std::uintN_t<256> can be built on top of them. Right now it
>>>> feels like P0539 (and John McFarlane's P0554/P0828) are trying to build
>>>> uintN_t without any access to the appropriate primitives.
>>>>
>>>
>>> I think C++ will never standardise support for carry and overload
>>> arithmetic. Too many CPUs don't support it.
>>>
>>> And besides, *it solves the wrong problem*. Don't tell the compiler how
>>> to implement bigint. Tell it you want bigint. Let it sort out an
>>> implementation.
>>>
>>
>> I agree that carry flags can (hopefully) remain an implementation detail.
>> I'm not sure how a library solution won't suffice -- other than that it's
>> of no use to WG14.
>>
>> (If GCC/Clang's equivalent intrinsics are anything to go by, I don't see
>> how pointers pose a problem. Yes, it's an ugly interface but should be
>> constexpr-friendly in latest tools and language revision.)
>>
>> Regarding the efficiency of P0539, don't judge it by the implementation
>> which, AFAIK, only implements bytewise arithmetic. I still think it's the
>> wrong API but for more reasons than just performance.
>>
>
> "Don't judge this numerics library by its performance" doesn't sound
> acceptable to me.
>
By 'implementation', I mean the reference library and by P0539 I mean the
API. The library is indeed of little use in judging the performance of the
API. All I was saying was not to spend time trying. Again, it's not the API
I'd chose. Nevertheless, I think that it's unhelpful to use a *bytewise*
arithmetic implementation to measure its potential.

I mean, performance seems like just about the only thing we *should* be
> judging.
>
Correctness is more important than performance. Usability probably comes a
close third.

Would you (or anyone) say you're confident that the performance problems
> can be overcome?
>
No.

Do we have a proof-of-concept somewhere that shows we can get perfect
> codegen for *any one* test case?
>
The proof-of-concept is not geared toward quality of codegen. It's designed
to be easy to change in response to changes in the API. I've mentioned to
the authors that performance might be something to consider also.


> I trust the inliner on all modern compilers (except maybe MSVC). If
> someone can provide C++ code (standard or non-standard, I don't care) that
> implements 256-bit and 512-bit arithmetic with ugly C++ but perfect codegen
> on at least one compiler, then I'll gladly donate a day of my time to
> refactoring the C++ code into something more ergonomic.
>
> Here's a perfect-codegen proof of concept for 128-bit operator+.
> https://godbolt.org/z/UlwPA6
> Here's an intrinsic-less proof of concept for 128-bit operator+, but it
> falls down pretty badly on 256-bit operator+.
> https://godbolt.org/z/Y3_Z89
>
> Minor nitpick: are you talking about the fundamental types or a library
component? If the latter, I'd advise against defining aliases such as
`uint256_t`. IIRC, SG6 decided against this in Toronto when P0539 was first
presented.

Since I can't even get to 256-bit operator+ on my own, I'm by default
> skeptical that anyone can get to N-bit all-the-operators. That's why I want
> to see a proof of concept, and why I think it's so important to look at the
> codegen of the existing libraries and demonstrate (as Niall has
> demonstrated) that they're all horrible. We shouldn't standardize something
> that's horrible.
>

> Why are current libraries horrible? If it's because their authors are
> "digging with spoons instead of shovels," then we should ask them what
> shovels they'd need in order to do a good job. (For example, would it help
> to have "widening add" and "widening multiply" algorithms in the Standard
> Library?)
>

Have you tried using the GCC overflow built-ins? Perhaps these are the
'shovels' we need to be using. If not, then I'd turn to compiler
implementers to provide us with the right ones. I'd tricky to know for sure
which ones need standardization until they've been proved out. And we don't
need to standardize them in order to implement `wide_integer`.

So yes, we should prove a library type can be as fast as the best
fundamental types before adopting it. But no, I see no reason why its
machinery needs to also be standardized to be useful.

John

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<div dir=3D"ltr"><div class=3D"gmail_quote"><div dir=3D"ltr">On Sat, 10 Nov=
 2018 at 16:31 Arthur O&#39;Dwyer &lt;<a href=3D"mailto:arthur.j.odwyer@gma=
il.com">arthur.j.odwyer@gmail.com</a>&gt; wrote:<br></div><blockquote class=
=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padd=
ing-left:1ex"><div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr">On Thu, No=
v 8, 2018 at 3:18 AM John McFarlane &lt;<a href=3D"mailto:john@mcfarlane.na=
me" target=3D"_blank">john@mcfarlane.name</a>&gt; wrote:<br></div></div></d=
iv><div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr"><div class=3D"gmail_q=
uote"><blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;b=
order-left-width:1px;border-left-style:solid;border-left-color:rgb(204,204,=
204);padding-left:1ex"><div dir=3D"ltr"><div class=3D"gmail_quote"><div dir=
=3D"ltr">On Tue, 6 Nov 2018 at 19:01 Niall Douglas &lt;<a href=3D"mailto:ni=
alldouglas14@gmail.com" target=3D"_blank">nialldouglas14@gmail.com</a>&gt; =
wrote:<br></div><blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0=
px 0.8ex;border-left-width:1px;border-left-style:solid;border-left-color:rg=
b(204,204,204);padding-left:1ex"><div dir=3D"ltr"><blockquote class=3D"gmai=
l_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left-width:1px;border-lef=
t-style:solid;border-left-color:rgb(204,204,204);padding-left:1ex"><div dir=
=3D"ltr"><div>I tend to think that the &quot;library-only&quot; approach <i=
>would</i> work fine, <i>if only</i> we could get the proper primitives int=
o the standard library. For example, if we had something like _addcarry_u64=
, but without the pointer parameter. These primitives will be generally use=
ful; and then things like std::uintN_t&lt;256&gt; can be built on top of th=
em. Right now it feels like P0539 (and John McFarlane&#39;s P0554/P0828) ar=
e trying to build uintN_t without any access to the appropriate primitives.=
</div></div></blockquote><div><br></div></div><div dir=3D"ltr"><div>I think=
 C++ will never standardise support for carry and overload arithmetic. Too =
many CPUs don&#39;t support it.</div><div><br></div><div>And besides, <i>it=
 solves the wrong problem</i>. Don&#39;t tell the compiler how to implement=
 bigint. Tell it you want bigint. Let it sort out an implementation.</div><=
/div></blockquote><div><br></div><div>I agree that carry flags can (hopeful=
ly) remain an implementation detail. I&#39;m not sure how a library solutio=
n won&#39;t suffice -- other than that it&#39;s of no use to WG14.</div><di=
v><br></div><div>(If GCC/Clang&#39;s equivalent intrinsics are anything to =
go by, I don&#39;t see how pointers pose a problem. Yes, it&#39;s an ugly i=
nterface but should be constexpr-friendly in latest tools and language revi=
sion.)</div><div><br></div><div>Regarding the efficiency of P0539, don&#39;=
t judge it by the implementation which, AFAIK, only implements bytewise ari=
thmetic. I still think it&#39;s the wrong API but for more reasons than jus=
t performance.</div></div></div></blockquote><div><br></div></div></div></d=
iv></div><div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr"><div class=3D"g=
mail_quote"><div>&quot;Don&#39;t judge this numerics library by its perform=
ance&quot; doesn&#39;t sound acceptable to me. </div></div></div></div></di=
v></blockquote><div>By &#39;implementation&#39;, I mean the reference libra=
ry and by P0539 I mean=20
the API. The library is indeed of little use in judging the performance=20
of the API. All I was saying was not to spend time trying. Again, it&#39;s=
=20
not the API I&#39;d chose. Nevertheless, I think that it&#39;s unhelpful to=
 use=20
a *bytewise* arithmetic implementation to measure its potential.=C2=A0=C2=
=A0 <br></div><div><br></div><blockquote class=3D"gmail_quote" style=3D"mar=
gin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"ltr=
"><div dir=3D"ltr"><div dir=3D"ltr"><div class=3D"gmail_quote"><div>I mean,=
 performance seems like just about the only thing we <i>should</i> be judgi=
ng. </div></div></div></div></div></blockquote><div>Correctness is more imp=
ortant than performance. Usability probably comes a close third. <br></div>=
<div><br></div><blockquote class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex=
;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"ltr"><div dir=3D"=
ltr"><div dir=3D"ltr"><div class=3D"gmail_quote"><div>Would you (or anyone)=
 say you&#39;re confident that the performance problems can be overcome? </=
div></div></div></div></div></blockquote><div>No.</div><div> <br></div><blo=
ckquote class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #c=
cc solid;padding-left:1ex"><div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"lt=
r"><div class=3D"gmail_quote"><div>Do we have a proof-of-concept somewhere =
that shows we can get perfect codegen for <i>any one</i> test case?</div></=
div></div></div></div></blockquote><div>The proof-of-concept is not geared =
toward quality of codegen. It&#39;s designed to be easy to change in respon=
se to changes in the API. I&#39;ve mentioned to the authors that performanc=
e might be something to consider also.<br></div><div><br></div><blockquote =
class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid=
;padding-left:1ex"><div dir=3D"ltr"><div dir=3D"ltr"><div dir=3D"ltr"><div =
class=3D"gmail_quote"><div><br></div><div>I trust the inliner on all modern=
 compilers (except maybe MSVC). If someone can provide C++ code (standard o=
r non-standard, I don&#39;t care) that implements 256-bit and 512-bit arith=
metic with ugly C++ but perfect codegen on at least one compiler, then I&#3=
9;ll gladly donate a day of my time to refactoring the C++ code into someth=
ing more ergonomic.</div><div><br></div><div>Here&#39;s a perfect-codegen p=
roof of concept for 128-bit operator+.</div><div><a href=3D"https://godbolt=
..org/z/UlwPA6" target=3D"_blank">https://godbolt.org/z/UlwPA6</a><br></div>=
<div>Here&#39;s an intrinsic-less proof of concept for 128-bit operator+, b=
ut it falls down pretty badly on 256-bit operator+.</div><div><a href=3D"ht=
tps://godbolt.org/z/Y3_Z89" target=3D"_blank">https://godbolt.org/z/Y3_Z89<=
/a></div><div><br></div></div></div></div></div></blockquote><div>Minor nit=
pick: are you talking about the fundamental types or a library component? I=
f the latter, I&#39;d advise against defining aliases such as `uint256_t`. =
IIRC, SG6 decided against this in Toronto when P0539 was first presented.</=
div><div><br></div><blockquote class=3D"gmail_quote" style=3D"margin:0 0 0 =
..8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"ltr"><div dir=
=3D"ltr"><div dir=3D"ltr"><div class=3D"gmail_quote"><div>Since I can&#39;t=
 even get to 256-bit operator+ on my own, I&#39;m by default skeptical that=
 anyone can get to N-bit all-the-operators. That&#39;s why I want to see a =
proof of concept, and why I think it&#39;s so important to look at the code=
gen of the existing libraries and demonstrate (as Niall has demonstrated) t=
hat they&#39;re all horrible. We shouldn&#39;t standardize something that&#=
39;s horrible.</div></div></div></div></div></blockquote></div><div class=
=3D"gmail_quote"><blockquote class=3D"gmail_quote" style=3D"margin:0 0 0 .8=
ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"ltr"><div dir=
=3D"ltr"><div dir=3D"ltr"><div class=3D"gmail_quote"><div><br></div><div>Wh=
y are current libraries horrible? If it&#39;s because their authors are &qu=
ot;digging with spoons instead of shovels,&quot; then we should ask them wh=
at shovels they&#39;d need in order to do a good job. (For example, would i=
t help to have &quot;widening add&quot; and &quot;widening multiply&quot; a=
lgorithms in the Standard Library?)</div></div></div></div></div></blockquo=
te><br><div>Have you tried using the GCC overflow built-ins? Perhaps these =
are the &#39;shovels&#39; we need to be using. If not, then I&#39;d turn to=
 compiler implementers to provide us with the right ones. I&#39;d tricky to=
 know for sure which ones need standardization until they&#39;ve been prove=
d out. And we don&#39;t need to standardize them in order to implement `wid=
e_integer`.</div><div><br></div><div>So yes, we should prove a library type=
 can be as fast as the best fundamental types before adopting it. But no, I=
 see no reason why its machinery needs to also be standardized to be useful=
..<br></div><div><br></div><div>John</div><div><br>
</div></div></div>

<p></p>

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Op dinsdag 6 november 2018 20:01:38 UTC+1 schreef Niall Douglas:
>
> I tend to think that the "library-only" approach *would* work fine, *if
>> only* we could get the proper primitives into the standard library. For
>> example, if we had something like _addcarry_u64, but without the pointer
>> parameter. These primitives will be generally useful; and then things like
>> std::uintN_t<256> can be built on top of them. Right now it feels like
>> P0539 (and John McFarlane's P0554/P0828) are trying to build uintN_t
>> without any access to the appropriate primitives.
>>
>
> I think C++ will never standardise support for carry and overload
> arithmetic. Too many CPUs don't support it.
>
> And besides, *it solves the wrong problem*. Don't tell the compiler how
> to implement bigint. Tell it you want bigint. Let it sort out an
> implementation.
>
>
Wouldn't such operations be useful in safe numerics as well?


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<div dir=3D"ltr"><br><br>Op dinsdag 6 november 2018 20:01:38 UTC+1 schreef =
Niall Douglas:<blockquote class=3D"gmail_quote" style=3D"margin: 0;margin-l=
eft: 0.8ex;border-left: 1px #ccc solid;padding-left: 1ex;"><div dir=3D"ltr"=
><blockquote class=3D"gmail_quote" style=3D"margin:0;margin-left:0.8ex;bord=
er-left:1px #ccc solid;padding-left:1ex"><div dir=3D"ltr"><div>I tend to th=
ink that the &quot;library-only&quot; approach <i>would</i> work fine, <i>i=
f only</i> we could get the proper primitives into the standard library. Fo=
r example, if we had something like _addcarry_u64, but without the pointer =
parameter. These primitives will be generally useful; and then things like =
std::uintN_t&lt;256&gt; can be built on top of them. Right now it feels lik=
e P0539 (and John McFarlane&#39;s P0554/P0828) are trying to build uintN_t =
without any access to the appropriate primitives.</div></div></blockquote><=
div><br></div><div>I think C++ will never standardise support for carry and=
 overload arithmetic. Too many CPUs don&#39;t support it.</div><div><br></d=
iv><div>And besides, <i>it solves the wrong problem</i>. Don&#39;t tell the=
 compiler how to implement bigint. Tell it you want bigint. Let it sort out=
 an implementation.</div><div>=C2=A0</div></div></blockquote><div>Wouldn&#3=
9;t such operations be useful in safe numerics as well?</div><div>=C2=A0</d=
iv></div>

<p></p>

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>
> I don't think anyone is saying that it's acceptable for the performance to
> be terrible. But having bignums standardized as a library component as in
> P0539 doesn't prevent the implementation from treating std::wide_integer
> types as magic types implemented using efficient intrinsics.
>

My view is that as soon as a library implementation needs compiler hooks to
get the compiler to do the right thing, it's time to strongly consider
modifying the language to be more expressive so you don't need those hooks.

For example, a DSEL for telling the compiler how to exactly do math is long
overdue in C++. Such a DSEL could let you specify bigint, safe int, SIMD
etc without the compiler messing with what you told it to do. You could
form blocks of implementation which then appear in C++ as if builtin types,
and you could rock on without any need for library changes.

Niall

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<div dir=3D"ltr"><blockquote class=3D"gmail_quote" style=3D"margin: 0;margi=
n-left: 0.8ex;border-left: 1px #ccc solid;padding-left: 1ex;"><div dir=3D"l=
tr"><div class=3D"gmail_quote"><div>I don&#39;t think anyone is saying that=
 it&#39;s acceptable for the performance to be terrible. But having bignums=
 standardized as a library component as in P0539 doesn&#39;t prevent the im=
plementation from treating std::wide_integer types as magic types implement=
ed using efficient intrinsics.<br></div><div></div></div><div dir=3D"ltr"><=
div dir=3D"ltr"><div><div dir=3D"ltr"><font color=3D"#c0c0c0"><i></i></font=
></div></div></div></div></div></blockquote><div><br></div><div>My view is =
that as soon as a library implementation needs compiler hooks to get the co=
mpiler to do the right thing, it&#39;s time to strongly consider modifying =
the language to be more expressive so you don&#39;t need those hooks.</div>=
<div><br></div><div>For example, a DSEL for telling the compiler how to exa=
ctly do math is long overdue in C++. Such a DSEL could let you specify bigi=
nt, safe int, SIMD etc without the compiler messing with what you told it t=
o do. You could form blocks of implementation which then appear in C++ as i=
f builtin types, and you could rock on without any need for library changes=
..</div><div><br></div><div>Niall</div><div><br></div></div>

<p></p>

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