Topic: alias-declarations in requirement-bodies
Author: Christopher Di Bella <cjdb.ns@gmail.com>
Date: Sat, 08 Apr 2017 12:51:14 +0000
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Hey everyone,
I've been wanting to have type aliases in concepts in some form for quite a
while, and with input from Casey Carter and Eric Niebler, I've been able to
draft the attached proposal.
After some time baking and considering use-cases, I think it's ready to
show off here. Note that I'm in the middle of implementing the feature.
What do you think?
Cheers,
Chris
P. S. I've bcc'd a few people who I think might be interested, but am not
sure if you'd like to opt out. Not sure how you can opt-in, but at least
you won't have spam in your inbox if you're a bit too busy :)
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<span>Hey everyone,</span><div><br></div><div>I've been wanting to have=
type aliases in concepts in some form for quite a while, and with input fr=
om Casey Carter and Eric Niebler, I've been able to draft the attached =
proposal.</div><div><br></div><div>After some time baking and considering u=
se-cases, I think it's ready to show off here. Note that I'm in the=
middle of implementing the feature.</div><div><br></div><div>What do you t=
hink?=C2=A0</div><div><br></div><div>Cheers,</div><div><br></div><div>Chris=
</div><div><br></div><div>P. S.=C2=A0I've bcc'd a few people who I =
think might be interested, but am not sure if you'd like to opt out. No=
t sure how you can opt-in, but at least you won't have spam in your inb=
ox if you're a bit too busy :)=C2=A0<br></div>
<p></p>
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--94eb2c12433841cde5054ca73315--
.
Author: Christopher Di Bella <cjdb.ns@gmail.com>
Date: Tue, 2 May 2017 07:22:36 -0700 (PDT)
Raw View
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Hi all,
I posted a proposal a few weeks ago, regarding an extension to the Concepts
TS that allows type aliases inside requirement bodies, but it didn't get
the traction I was hoping it would. The previous email didn't give any
motivation outside of the attached document, so I thought I'd touch base,
and add a bit of motivation in the email; in case you can't read the
document right now. Thanks to Sergey Zubkov for bringing that to my
attention.
*Motivation 1*
Concepts are fun to work with, and fun to design, but anything with more
than a few names is tedious to type up, and tedious to read.
Consider this rather verbose attempt at drafting a concept for a sequence
container:
// using value_type_t, difference_type_t, and concepts from Ranges TS
template <typename X, typename... Args>
concept bool SequenceContaioner = Container<X> && requires {
typename value_type_t<X>;
typename difference_type_t<X>;
requires Constructible<X, difference_type_t<X>, value_type_t<X>>();
requires Construictible<X, initializer_list<value_type_t<X>>>();
requires Assignable<X&, initializer_list<value_type_t<X>>>();
// ...
};
Our current SequenceContainer is quite jarring to read, so we might like to
split it into SequenceContainer and detail::SequenceConstructible:
namespace detail {
template <typename X, typename T, typename D, typename... Args>
concept bool SequenceConstructible = Constructible<X, D, T>() &&
Constructible<X, initializer_list<T>>() &&
Assignable<X&, initializer_list<T>>()
// ...
;
// Other SequenceContainer details here...
} // namespace detail
template <typename X, typename... Args>
concept bool SequenceContainer = Container<X> &&
detail::SequenceConstructible<X, value_type_t<X>, difference_type_t<X>,
Args...> // &&
// ...
;
Now we can read the implementation of a SequenceContainer without the added
noise of value_type_t<X>, difference_type_t<X>, and
initializer_list<value_type_t<X>> at every turn, but we've now created a
second, exposition-only concept with exactly one use-case: to facilitate
the readability of our usable concept that (hopefully!) has many use-cases.
Furthermore, we need to find a meaningful name for our exposition-only
concepts so that they are easy to understand.
*Desired outcome*
It would be nice to have something that resembles:
template <typename X, typename... Args>
concept bool SequenceContainer = Container<X> && requires {
requires using value_type = value_type_t<X>; // type alias value_type,
typename requirement for value_type_t<X>
requires using difference_type = difference_type_t<X>;
using initializer_list_type = initializer_list<value_type>; // just a
type alias
requires Constructible<X, difference_type, value_type>();
requires Constructible<X, initializer_list_type>();
requires Assignable<X&, initializer_list_type>();
// ...
};
*Why is this desirable given the above motivation?*
- Exposition-only concepts that exist solely to improve readability are
removed.
*Motivation 2*
Let's now consider an attempt to turn std::inner_product into a
concept-checked inner_product:
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2>
S2,
CopyConstructible T,
typename Proj1 = identity, typename Proj2 = identity,
IndirectRegularInvocable<projected<I1, Proj1>, projected<I2, Proj2>> Op2
= multiplies<>,
RegularInvocable<T,
indirect_result_of_t<Op2&(projected<I1, Proj1>, projected<I2, Proj2
>)>> Op1 = plus<>>
requires
Assignable<T&, const T&>() &&
Assignable<T&, result_of_t<Op1&(T,
indirect_result_of_t<Op2&(projected<I1, Proj1>, projected<I2, Proj2
>)>)>>()
T inner_product(I1 first1, S1 last1, I2 first2, S2 last2, T init, Op1 op1 =
Op1{},
Op2 op2 = Op2{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
Ugly. There's lots of repetition, and overall, it's quite difficult to
reason if it's correct. Let's tidy that up a bit:
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2>
S2,
CopyConstructible T,
typename Op1 = plus<>, typename Op2 = multiplies,
typename Proj1 = identity, typename Proj2 = identity,
typename Arg1 = projected<I1, Proj1>, typename Arg2 = projected<I2, Proj2
>,
typename InnerResult = indirect_result_of_t<Op2&(Arg1, Arg2)>,
typename OuterResult = result_of_t<Op1&(T, InnerResult)>>
requires
Assignable<T&, const T&>() &&
IndirectRegularInvocable<Op2, Arg1, Arg2>() &&
RegularInvocable<Op1, T, InnerResult>() &&
Assignable<T&, OuterResult>()
T inner_product(I1 first1, S1 last1, I2 first2, S2 last2, T init, Op1 op1 =
Op1{},
Op2 op2 = Op2{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
That's much easier on the eyes, and our operations are properly ordered!
Sadly, we've introduced an opportunity for Crafty Programmer who thinks
that they know better than their compiler (and library specification) to
manipulate the template specialisation to allow
syntactically-compatible-but-semantically-incompatible types to pass the
concept check. This is an unlikely scenario, but we can't rule it out from
happening for all concept-checked functions.
*Desired outcome*
It'd be great if we could do this instead:
template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2>
S2,
CopyConstructible T, typename Op1 = plus<>, typename Op2 = multiplies<>,
typename Proj1 = identity, typename Proj2 = identity>
requires requires {
requires Assignable<T&, const T&>();
using Arg1 = projected<I1, Proj1>;
using Arg2 = projected<I2, Proj2>;
using Inner_result = indirect_result_of_t<Op2&(Arg1, Arg2)>;
using Outer_result = result_of_t<Op1&(T, InnerResult)>;
requires IndirectRegularInvocable<Op2, Arg1, Arg2>();
requires RegularInvocable<Op1, T, InnerResult>();
requires Assignable<T&, OuterResult>();
}
T inner_product(I1 first1, S1 last1, I2 first2, S2 last2, T init, Op1 op1 =
Op1{},
Op2 op2 = Op2{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
*Why is this desirable, given the above motivation?*
Unlike the example given in our motivation, this indisputably communicates
to both programmers and the compiler that Arg1, Arg2, Inner_result and
Outer_result are not supposed to be changed by removing them from a
position where a programmer can accidentally or deliberately provide an
alternative type.
----------------------------------------------------------------------------------------------------------------------------------------------------------------------
The attached document goes through the same examples (albeit some different
wording), but then goes on to suggest the different ways that I think we
could allow type aliases inside requirements bodies, and discusses their
implications (starting on page 3 and ending on page 5). Given the length of
the email thus far, I figured it'd be better to leave them in the document.
What do you think?
Cheers,
Chris
On Saturday, 8 April 2017 22:51:28 UTC+10, Christopher Di Bella wrote:
>
> Hey everyone,
>
> I've been wanting to have type aliases in concepts in some form for quite
> a while, and with input from Casey Carter and Eric Niebler, I've been able
> to draft the attached proposal.
>
> After some time baking and considering use-cases, I think it's ready to
> show off here. Note that I'm in the middle of implementing the feature.
>
> What do you think?
>
> Cheers,
>
> Chris
>
> P. S. I've bcc'd a few people who I think might be interested, but am not
> sure if you'd like to opt out. Not sure how you can opt-in, but at least
> you won't have spam in your inbox if you're a bit too busy :)
>
--
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<div dir=3D"ltr">Hi all,<div><br></div><div>I posted a proposal a few weeks=
ago, regarding an extension to the Concepts TS that allows type aliases in=
side requirement bodies, but it didn't get the traction I was hoping it=
would. The previous email didn't give any motivation outside of the at=
tached document, so I thought I'd touch base, and add a bit of motivati=
on in the email; in case you can't read the document right now. Thanks =
to Sergey Zubkov for bringing that to my attention.</div><div><br></div><di=
v><b><font size=3D"4">Motivation 1</font></b></div><div><b><br></b></div><d=
iv>Concepts are fun to work with, and fun to design, but anything with more=
than a few names is tedious to type up, and tedious to read.</div><div>Con=
sider this rather verbose attempt at drafting a concept for a sequence cont=
ainer:</div><div><br></div><div class=3D"prettyprint" style=3D"background-c=
olor: rgb(250, 250, 250); border-color: rgb(187, 187, 187); border-style: s=
olid; border-width: 1px; word-wrap: break-word;"><code class=3D"prettyprint=
"><div class=3D"subprettyprint"><span style=3D"color: #800;" class=3D"style=
d-by-prettify">// using value_type_t, difference_type_t, and concepts from =
Ranges TS</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><=
br><br></span><span style=3D"color: #008;" class=3D"styled-by-prettify">tem=
plate</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </sp=
an><span style=3D"color: #660;" class=3D"styled-by-prettify"><</span><sp=
an style=3D"color: #008;" class=3D"styled-by-prettify">typename</span><span=
style=3D"color: #000;" class=3D"styled-by-prettify"> X</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #008;" =
class=3D"styled-by-prettify">typename</span><span style=3D"color: #660;" cl=
ass=3D"styled-by-prettify">...</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by=
-prettify">Args</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">></span><span style=3D"color: #000;" class=3D"styled-by-prettify"><=
br><br></span><span style=3D"color: #008;" class=3D"styled-by-prettify">con=
cept</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </spa=
n><span style=3D"color: #008;" class=3D"styled-by-prettify">bool</span><spa=
n style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #606;" class=3D"styled-by-prettify">SequenceContaioner</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;=
" class=3D"styled-by-prettify">Container</span><span style=3D"color: #660;"=
class=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify">X</span><span style=3D"color: #660;" class=3D"style=
d-by-prettify">></span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
&&</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
requires </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
{</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=
=A0 =C2=A0</span><span style=3D"color: #008;" class=3D"styled-by-prettify">=
typename</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> v=
alue_type_t</span><span style=3D"color: #660;" class=3D"styled-by-prettify"=
><</span><span style=3D"color: #000;" class=3D"styled-by-prettify">X</sp=
an><span style=3D"color: #660;" class=3D"styled-by-prettify">>;</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</=
span><span style=3D"color: #008;" class=3D"styled-by-prettify">typename</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify"> difference_ty=
pe_t</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><</=
span><span style=3D"color: #000;" class=3D"styled-by-prettify">X</span><spa=
n style=3D"color: #660;" class=3D"styled-by-prettify">>;</span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0requires =
</span><span style=3D"color: #606;" class=3D"styled-by-prettify">Constructi=
ble</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span style=3D"color: #000;" class=3D"styled-by-prettify">X</span><span=
style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D=
"color: #000;" class=3D"styled-by-prettify"> difference_type_t</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify">X</span><span style=3D"color=
: #660;" class=3D"styled-by-prettify">>,</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"> value_type_t</span><span style=3D"color: =
#660;" class=3D"styled-by-prettify"><</span><span style=3D"color: #000;"=
class=3D"styled-by-prettify">X</span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">>>();</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"><br>=C2=A0 =C2=A0requires </span><span style=3D"col=
or: #606;" class=3D"styled-by-prettify">Construictible</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify">X</span><span style=3D"color: #660;" =
class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify"> initializer_list</span><span style=3D"color: #660;" cl=
ass=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify">value_type_t</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=3D"st=
yled-by-prettify">X</span><span style=3D"color: #660;" class=3D"styled-by-p=
rettify">>>>();</span><span style=3D"color: #000;" class=3D"styled=
-by-prettify"><br>=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"=
class=3D"styled-by-prettify">Assignable</span><span style=3D"color: #660;"=
class=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify">X</span><span style=3D"color: #660;" class=3D"style=
d-by-prettify">&,</span><span style=3D"color: #000;" class=3D"styled-by=
-prettify"> initializer_list</span><span style=3D"color: #660;" class=3D"st=
yled-by-prettify"><</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify">value_type_t</span><span style=3D"color: #660;" class=3D"styled=
-by-prettify"><</span><span style=3D"color: #000;" class=3D"styled-by-pr=
ettify">X</span><span style=3D"color: #660;" class=3D"styled-by-prettify">&=
gt;>>();</span><span style=3D"color: #000;" class=3D"styled-by-pretti=
fy"><br>=C2=A0 =C2=A0</span><span style=3D"color: #800;" class=3D"styled-by=
-prettify">// ...</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify"><br></span><span style=3D"color: #660;" class=3D"styled-by-prettify"=
>};</span></div></code></div><div><br></div><div>Our current <font face=3D"=
courier new, monospace">SequenceContainer</font> is quite jarring to read, =
so we might like to split it into <font face=3D"courier new, monospace">Seq=
uenceContainer</font> and <font face=3D"courier new, monospace">detail::Seq=
uenceConstructible</font>:</div><div><br></div><div class=3D"prettyprint" s=
tyle=3D"background-color: rgb(250, 250, 250); border-color: rgb(187, 187, 1=
87); border-style: solid; border-width: 1px; word-wrap: break-word;"><code =
class=3D"prettyprint"><div class=3D"subprettyprint"><span style=3D"color: #=
008;" class=3D"styled-by-prettify">namespace</span><span style=3D"color: #0=
00;" class=3D"styled-by-prettify"> detail </span><span style=3D"color: #660=
;" class=3D"styled-by-prettify">{</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;=
" class=3D"styled-by-prettify">template</span><span style=3D"color: #000;" =
class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"=
styled-by-prettify"><</span><span style=3D"color: #008;" class=3D"styled=
-by-prettify">typename</span><span style=3D"color: #000;" class=3D"styled-b=
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><span style=3D"color: #000;" class=3D"styled-by-prettify"> T</span><span s=
tyle=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"c=
olor: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #00=
8;" class=3D"styled-by-prettify">typename</span><span style=3D"color: #000;=
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fy">...</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </=
span><span style=3D"color: #606;" class=3D"styled-by-prettify">Args</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify">></span><span s=
tyle=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span>=
<span style=3D"color: #008;" class=3D"styled-by-prettify">concept</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #008;" class=3D"styled-by-prettify">bool</span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606=
;" class=3D"styled-by-prettify">SequenceConstructible</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" cl=
ass=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"st=
yled-by-prettify">Constructible</span><span style=3D"color: #660;" class=3D=
"styled-by-prettify"><</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify">X</span><span style=3D"color: #660;" class=3D"styled-by-pret=
tify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> D<=
/span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify"> T</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">>()</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">&&</span><span style=3D"color: #0=
00;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0 =C2=A0 </span><span sty=
le=3D"color: #606;" class=3D"styled-by-prettify">Constructible</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify">X</span><span style=3D"color=
: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" =
class=3D"styled-by-prettify"> initializer_list</span><span style=3D"color: =
#660;" class=3D"styled-by-prettify"><</span><span style=3D"color: #000;"=
class=3D"styled-by-prettify">T</span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">>>()</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-b=
y-prettify">&&</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"><br>=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color: #606;" cl=
ass=3D"styled-by-prettify">Assignable</span><span style=3D"color: #660;" cl=
ass=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify">X</span><span style=3D"color: #660;" class=3D"styled-b=
y-prettify">&,</span><span style=3D"color: #000;" class=3D"styled-by-pr=
ettify"> initializer_list</span><span style=3D"color: #660;" class=3D"style=
d-by-prettify"><</span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify">T</span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
>>()</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
<br>=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color: #800;" class=3D"style=
d-by-prettify">// ...</span><span style=3D"color: #000;" class=3D"styled-by=
-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #660;" class=3D"st=
yled-by-prettify">;</span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #800;" class=3D"styl=
ed-by-prettify">// Other SequenceContainer details here...</span><span styl=
e=3D"color: #000;" class=3D"styled-by-prettify"><br></span><span style=3D"c=
olor: #660;" class=3D"styled-by-prettify">}</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"> </span><span style=3D"color: #800;" class=
=3D"styled-by-prettify">// namespace detail</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"><br><br></span><span style=3D"color: #008;=
" class=3D"styled-by-prettify">template</span><span style=3D"color: #000;" =
class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"=
styled-by-prettify"><</span><span style=3D"color: #008;" class=3D"styled=
-by-prettify">typename</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> X</span><span style=3D"color: #660;" class=3D"styled-by-pretti=
fy">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </sp=
an><span style=3D"color: #008;" class=3D"styled-by-prettify">typename</span=
><span style=3D"color: #660;" class=3D"styled-by-prettify">...</span><span =
style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"=
color: #606;" class=3D"styled-by-prettify">Args</span><span style=3D"color:=
#660;" class=3D"styled-by-prettify">></span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"><br></span><span style=3D"color: #008;" clas=
s=3D"styled-by-prettify">concept</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #008;" class=3D"style=
d-by-prettify">bool</span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">=
SequenceContainer</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span style=3D"color: #606;" class=3D"styled-by-prettify">Container</span>=
<span style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span =
style=3D"color: #000;" class=3D"styled-by-prettify">X</span><span style=3D"=
color: #660;" class=3D"styled-by-prettify">></span><span style=3D"color:=
#000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" c=
lass=3D"styled-by-prettify">&&</span><span style=3D"color: #000;" c=
lass=3D"styled-by-prettify"><br>=C2=A0 =C2=A0detail</span><span style=3D"co=
lor: #660;" class=3D"styled-by-prettify">::</span><span style=3D"color: #60=
6;" class=3D"styled-by-prettify">SequenceConstructible</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify">X</span><span style=3D"color: #660;" =
class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify"> value_type_t</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=3D"st=
yled-by-prettify">X</span><span style=3D"color: #660;" class=3D"styled-by-p=
rettify">>,</span><span style=3D"color: #000;" class=3D"styled-by-pretti=
fy"> difference_type_t</span><span style=3D"color: #660;" class=3D"styled-b=
y-prettify"><</span><span style=3D"color: #000;" class=3D"styled-by-pret=
tify">X</span><span style=3D"color: #660;" class=3D"styled-by-prettify">>=
;,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span>=
<span style=3D"color: #606;" class=3D"styled-by-prettify">Args</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">...></span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"col=
or: #800;" class=3D"styled-by-prettify">// &&</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span st=
yle=3D"color: #800;" class=3D"styled-by-prettify">// ...</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"><br></span><span style=3D"co=
lor: #660;" class=3D"styled-by-prettify">;</span></div></code></div><div><b=
r></div><div>Now we can read the implementation of a <font face=3D"courier =
new, monospace">SequenceContainer</font> without the added noise of <font f=
ace=3D"courier new, monospace">value_type_t<X></font>, <font face=3D"=
courier new, monospace">difference_type_t<X></font>, and <font face=
=3D"courier new, monospace">initializer_list<value_type_t<X>></=
font> at every turn, but we've now created a second, exposition-only co=
ncept with exactly one use-case: to facilitate the readability of our usabl=
e concept that (hopefully!) has many use-cases. Furthermore, we need to fin=
d a meaningful name for our exposition-only concepts so that they are easy =
to understand.</div><div><br></div><div><b>Desired outcome</b></div><div><b=
><br></b></div><div>It would be nice to have something that resembles:</div=
><div><br></div><div class=3D"prettyprint" style=3D"background-color: rgb(2=
50, 250, 250); border-color: rgb(187, 187, 187); border-style: solid; borde=
r-width: 1px; word-wrap: break-word;"><code class=3D"prettyprint"><div clas=
s=3D"subprettyprint"><span style=3D"color: #008;" class=3D"styled-by-pretti=
fy">template</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span style=3D"color: #008;" class=3D"styled-by-prettify">typename</spa=
n><span style=3D"color: #000;" class=3D"styled-by-prettify"> X</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #0=
08;" class=3D"styled-by-prettify">typename</span><span style=3D"color: #660=
;" class=3D"styled-by-prettify">...</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styl=
ed-by-prettify">Args</span><span style=3D"color: #660;" class=3D"styled-by-=
prettify">></span><span style=3D"color: #000;" class=3D"styled-by-pretti=
fy"><br></span><span style=3D"color: #008;" class=3D"styled-by-prettify">co=
ncept</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </sp=
an><span style=3D"color: #008;" class=3D"styled-by-prettify">bool</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #606;" class=3D"styled-by-prettify">SequenceContainer</span><spa=
n style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;=
" class=3D"styled-by-prettify">Container</span><span style=3D"color: #660;"=
class=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify">X</span><span style=3D"color: #660;" class=3D"style=
d-by-prettify">></span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
&&</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
requires </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
{</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=
=A0 =C2=A0requires </span><span style=3D"color: #008;" class=3D"styled-by-p=
rettify">using</span><span style=3D"color: #000;" class=3D"styled-by-pretti=
fy"> value_type </span><span style=3D"color: #660;" class=3D"styled-by-pret=
tify">=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> =
value_type_t</span><span style=3D"color: #660;" class=3D"styled-by-prettify=
"><</span><span style=3D"color: #000;" class=3D"styled-by-prettify">X</s=
pan><span style=3D"color: #660;" class=3D"styled-by-prettify">>;</span><=
span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span styl=
e=3D"color: #800;" class=3D"styled-by-prettify">// type alias value_type</s=
pan><span style=3D"color: #800;" class=3D"styled-by-prettify">, typename re=
quirement for value_type_t<X></span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"><br>=C2=A0 =C2=A0requires </span><span style=3D"co=
lor: #008;" class=3D"styled-by-prettify">using</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify"> difference_type </span><span style=3D"=
color: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify"> difference_type_t</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify">X</span><span style=3D"color: #660;" =
class=3D"styled-by-prettify">>;</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;=
" class=3D"styled-by-prettify">using</span><span style=3D"color: #000;" cla=
ss=3D"styled-by-prettify"> initializer_list_type </span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"color: #000=
;" class=3D"styled-by-prettify"> initializer_list</span><span style=3D"colo=
r: #080;" class=3D"styled-by-prettify"><value_type></span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">;</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #800;" =
class=3D"styled-by-prettify">// just a type alias</span><span style=3D"colo=
r: #000;" class=3D"styled-by-prettify"><br><br>=C2=A0 =C2=A0requires </span=
><span style=3D"color: #606;" class=3D"styled-by-prettify">Constructible</s=
pan><span style=3D"color: #660;" class=3D"styled-by-prettify"><</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify">X</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"> difference_type</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #=
000;" class=3D"styled-by-prettify"> value_type</span><span style=3D"color: =
#660;" class=3D"styled-by-prettify">>();</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0requires </span><span sty=
le=3D"color: #606;" class=3D"styled-by-prettify">Constructible</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify">X</span><span style=3D"color=
: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" =
class=3D"styled-by-prettify"> initializer_list_type</span><span style=3D"co=
lor: #660;" class=3D"styled-by-prettify">>();</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0requires </span><spa=
n style=3D"color: #606;" class=3D"styled-by-prettify">Assignable</span><spa=
n style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span styl=
e=3D"color: #000;" class=3D"styled-by-prettify">X</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">&,</span><span style=3D"color: #=
000;" class=3D"styled-by-prettify"> initializer_list_type</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">>();</span><span style=3D=
"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span s=
tyle=3D"color: #800;" class=3D"styled-by-prettify">// ...</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"><br></span><span style=3D"co=
lor: #660;" class=3D"styled-by-prettify">};</span></div></code></div><div><=
font face=3D"courier new, monospace"><br></font></div><div><br></div><div><=
b>Why is this desirable given the above motivation?</b></div><div><ul><li>E=
xposition-only concepts that exist solely to improve readability are remove=
d.</li></ul><div><b><font size=3D"4">Motivation 2</font></b></div></div><di=
v><br></div><div>Let's now consider an attempt to turn std::inner_produ=
ct into a concept-checked inner_product:</div><br><div class=3D"prettyprint=
" style=3D"background-color: rgb(250, 250, 250); border-color: rgb(187, 187=
, 187); border-style: solid; border-width: 1px; word-wrap: break-word;"><co=
de class=3D"prettyprint"><div class=3D"subprettyprint"><span style=3D"color=
: #008;" class=3D"styled-by-prettify">template</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" cl=
ass=3D"styled-by-prettify"><</span><span style=3D"color: #606;" class=3D=
"styled-by-prettify">InputIterator</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> I1</span><span style=3D"color: #660;" class=3D"sty=
led-by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-pr=
ettify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">S=
entinel</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><=
;</span><span style=3D"color: #000;" class=3D"styled-by-prettify">I1</span>=
<span style=3D"color: #660;" class=3D"styled-by-prettify">></span><span =
style=3D"color: #000;" class=3D"styled-by-prettify"> S1</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" =
class=3D"styled-by-prettify">InputIterator</span><span style=3D"color: #000=
;" class=3D"styled-by-prettify"> I2</span><span style=3D"color: #660;" clas=
s=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-pre=
ttify">Sentinel</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify"><</span><span style=3D"color: #000;" class=3D"styled-by-prettify">I=
2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">></spa=
n><span style=3D"color: #000;" class=3D"styled-by-prettify"> S2</span><span=
style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D=
"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span s=
tyle=3D"color: #606;" class=3D"styled-by-prettify">CopyConstructible</span>=
<span style=3D"color: #000;" class=3D"styled-by-prettify"> T</span><span st=
yle=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span styl=
e=3D"color: #008;" class=3D"styled-by-prettify">typename</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color=
: #606;" class=3D"styled-by-prettify">Proj1</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> identity</span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify"> </span><span style=3D"color: #008;" class=3D"styled-by-prettify">ty=
pename</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </s=
pan><span style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</span><=
span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span styl=
e=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify"> identity</span><span style=3D"col=
or: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color=
: #606;" class=3D"styled-by-prettify">IndirectRegularInvocable</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify">projected</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify">I1</span><span style=3D"color: #66=
0;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"style=
d-by-prettify">Proj1</span><span style=3D"color: #660;" class=3D"styled-by-=
prettify">>,</span><span style=3D"color: #000;" class=3D"styled-by-prett=
ify"> projected</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify"><</span><span style=3D"color: #000;" class=3D"styled-by-prettify">I=
2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><=
span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span styl=
e=3D"color: #606;" class=3D"styled-by-prettify">Proj2</span><span style=3D"=
color: #660;" class=3D"styled-by-prettify">>></span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606=
;" class=3D"styled-by-prettify">Op2</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"> multiplies</span><span style=3D"color: #660;" class=3D"styled-by-=
prettify"><>,</span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #606;" class=3D"styl=
ed-by-prettify">RegularInvocable</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify"><</span><span style=3D"color: #000;" class=3D"st=
yled-by-prettify">T</span><span style=3D"color: #660;" class=3D"styled-by-p=
rettify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
<br>=C2=A0 =C2=A0 =C2=A0 indirect_result_of_t</span><span style=3D"color: #=
660;" class=3D"styled-by-prettify"><</span><span style=3D"color: #606;" =
class=3D"styled-by-prettify">Op2</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">&(</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify">projected</span><span style=3D"color: #660;" class=3D"s=
tyled-by-prettify"><</span><span style=3D"color: #000;" class=3D"styled-=
by-prettify">I1</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </s=
pan><span style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify">>,</span><span =
style=3D"color: #000;" class=3D"styled-by-prettify"> projected</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify">I2</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;"=
class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D=
"styled-by-prettify">Proj2</span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">>)>></span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-=
prettify">Op1</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=3D</s=
pan><span style=3D"color: #000;" class=3D"styled-by-prettify"> plus</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify"><>></span=
><span style=3D"color: #000;" class=3D"styled-by-prettify"><br>requires<br>=
=C2=A0 =C2=A0</span><span style=3D"color: #606;" class=3D"styled-by-prettif=
y">Assignable</span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y"><</span><span style=3D"color: #000;" class=3D"styled-by-prettify">T</=
span><span style=3D"color: #660;" class=3D"styled-by-prettify">&,</span=
><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span st=
yle=3D"color: #008;" class=3D"styled-by-prettify">const</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> T</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">&>()</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;=
" class=3D"styled-by-prettify">&&</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color=
: #606;" class=3D"styled-by-prettify">Assignable</span><span style=3D"color=
: #660;" class=3D"styled-by-prettify"><</span><span style=3D"color: #000=
;" class=3D"styled-by-prettify">T</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">&,</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify"> result_of_t</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify"><</span><span style=3D"color: #606;" class=3D"st=
yled-by-prettify">Op1</span><span style=3D"color: #660;" class=3D"styled-by=
-prettify">&(</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify">T</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,<=
/span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =
=C2=A0 =C2=A0 indirect_result_of_t</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify"><</span><span style=3D"color: #606;" class=3D"st=
yled-by-prettify">Op2</span><span style=3D"color: #660;" class=3D"styled-by=
-prettify">&(</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify">projected</span><span style=3D"color: #660;" class=3D"styled-by-pret=
tify"><</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
I1</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span>=
<span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span sty=
le=3D"color: #606;" class=3D"styled-by-prettify">Proj1</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify">>,</span><span style=3D"colo=
r: #000;" class=3D"styled-by-prettify"> projected</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify"><</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify">I2</span><span style=3D"color: #660;" clas=
s=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-pre=
ttify">Proj2</span><span style=3D"color: #660;" class=3D"styled-by-prettify=
">>)>)>>()</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"><br>T inner_product</span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">(</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify">I1 first1</span><span style=3D"color: #660;" class=3D"styled-by=
-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"> S1 last1</span><span style=3D"color: #660;" class=3D"styled-by-prettify"=
>,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> I2 firs=
t2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span>=
<span style=3D"color: #000;" class=3D"styled-by-prettify"> S2 last2</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span styl=
e=3D"color: #000;" class=3D"styled-by-prettify"> T init</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" =
class=3D"styled-by-prettify">Op1</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> op1 </span><span style=3D"color: #660;" class=3D"s=
tyled-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettif=
y">Op1</span><span style=3D"color: #660;" class=3D"styled-by-prettify">{},<=
/span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br></span>=
<font color=3D"#000000"><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify">=C2=A0 =C2=A0</span></font><span style=3D"color: #606;" class=3D"sty=
led-by-prettify">Op2</span><span style=3D"color: #000;" class=3D"styled-by-=
prettify"> op2 </span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> <=
/span><span style=3D"color: #606;" class=3D"styled-by-prettify">Op2</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify">{},</span><span st=
yle=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"co=
lor: #606;" class=3D"styled-by-prettify">Proj1</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify"> proj1 </span><span style=3D"color: #66=
0;" class=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" cla=
ss=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"sty=
led-by-prettify">Proj1</span><span style=3D"color: #660;" class=3D"styled-b=
y-prettify">{},</span><span style=3D"color: #000;" class=3D"styled-by-prett=
ify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">Proj=
2</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> proj2 </=
span><span style=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #606;" class=3D"styled-by-prettify">Proj2</span><span style=3D"c=
olor: #660;" class=3D"styled-by-prettify">{});</span></div></code></div><di=
v><br></div><div>Ugly. There's lots of repetition, and overall, it'=
s quite difficult to reason if it's correct. Let's tidy that up a b=
it:</div><div><br></div><div class=3D"prettyprint" style=3D"background-colo=
r: rgb(250, 250, 250); border-color: rgb(187, 187, 187); border-style: soli=
d; border-width: 1px; word-wrap: break-word;"><code class=3D"prettyprint"><=
div class=3D"subprettyprint"><span style=3D"color: #008;" class=3D"styled-b=
y-prettify">template</span><span style=3D"color: #000;" class=3D"styled-by-=
prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify"=
><</span><span style=3D"color: #606;" class=3D"styled-by-prettify">Input=
Iterator</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> I=
1</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><=
span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span styl=
e=3D"color: #606;" class=3D"styled-by-prettify">Sentinel</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify">I1</span><span style=3D"color: #66=
0;" class=3D"styled-by-prettify">></span><span style=3D"color: #000;" cl=
ass=3D"styled-by-prettify"> S1</span><span style=3D"color: #660;" class=3D"=
styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by=
-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify=
">InputIterator</span><span style=3D"color: #000;" class=3D"styled-by-prett=
ify"> I2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,<=
/span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><sp=
an style=3D"color: #606;" class=3D"styled-by-prettify">Sentinel</span><span=
style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify">I2</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">></span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"> S2</span><span style=3D"color: #660;" cla=
ss=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #606;" class=
=3D"styled-by-prettify">CopyConstructible</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"> T</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=
=3D"styled-by-prettify">typename</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"style=
d-by-prettify">Op1</span><span style=3D"color: #000;" class=3D"styled-by-pr=
ettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> plus</=
span><span style=3D"color: #660;" class=3D"styled-by-prettify"><>,</s=
pan><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span=
style=3D"color: #008;" class=3D"styled-by-prettify">typename</span><span s=
tyle=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"c=
olor: #606;" class=3D"styled-by-prettify">Op2</span><span style=3D"color: #=
000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" cla=
ss=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> multiplies</span><span style=3D"color: #660;" class=3D"=
styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by=
-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=3D"st=
yled-by-prettify">typename</span><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-pre=
ttify">Proj1</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify"> identity</spa=
n><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span s=
tyle=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"c=
olor: #008;" class=3D"styled-by-prettify">typename</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;=
" class=3D"styled-by-prettify">Proj2</span><span style=3D"color: #000;" cla=
ss=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"sty=
led-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"styled-by-=
prettify"> identity</span><span style=3D"color: #660;" class=3D"styled-by-p=
rettify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
<br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=3D"styled-by-pre=
ttify">typename</span><span style=3D"color: #000;" class=3D"styled-by-prett=
ify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">Arg1=
</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><s=
pan style=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"> projected</span><span sty=
le=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify">I1</span><span style=3D"color: #=
660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" cla=
ss=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"sty=
led-by-prettify">Proj1</span><span style=3D"color: #660;" class=3D"styled-b=
y-prettify">>,</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify"> </span><span style=3D"color: #008;" class=3D"styled-by-prettify">ty=
pename</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </s=
pan><span style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify"> projected</span><span style=3D"col=
or: #660;" class=3D"styled-by-prettify"><</span><span style=3D"color: #0=
00;" class=3D"styled-by-prettify">I2</span><span style=3D"color: #660;" cla=
ss=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-pr=
ettify">Proj2</span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y">>,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><b=
r>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=3D"styled-by-prett=
ify">typename</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">InnerR=
esult</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </sp=
an><span style=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><spa=
n style=3D"color: #000;" class=3D"styled-by-prettify"> indirect_result_of_t=
</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><</span=
><span style=3D"color: #606;" class=3D"styled-by-prettify">Op2</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">&(</span><span styl=
e=3D"color: #606;" class=3D"styled-by-prettify">Arg1</span><span style=3D"c=
olor: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=
=3D"styled-by-prettify">Arg2</span><span style=3D"color: #660;" class=3D"st=
yled-by-prettify">)>,</span><span style=3D"color: #000;" class=3D"styled=
-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=3D=
"styled-by-prettify">typename</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-=
prettify">OuterResult</span><span style=3D"color: #000;" class=3D"styled-by=
-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify=
">=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> resu=
lt_of_t</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><=
;</span><span style=3D"color: #606;" class=3D"styled-by-prettify">Op1</span=
><span style=3D"color: #660;" class=3D"styled-by-prettify">&(</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify">T</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" =
class=3D"styled-by-prettify">InnerResult</span><span style=3D"color: #660;"=
class=3D"styled-by-prettify">)>></span><span style=3D"color: #000;" =
class=3D"styled-by-prettify"><br>requires<br>=C2=A0 =C2=A0</span><span styl=
e=3D"color: #606;" class=3D"styled-by-prettify">Assignable</span><span styl=
e=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"c=
olor: #000;" class=3D"styled-by-prettify">T</span><span style=3D"color: #66=
0;" class=3D"styled-by-prettify">&,</span><span style=3D"color: #000;" =
class=3D"styled-by-prettify"> </span><span style=3D"color: #008;" class=3D"=
styled-by-prettify">const</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify"> T</span><span style=3D"color: #660;" class=3D"styled-by-pre=
ttify">&>()</span><span style=3D"color: #000;" class=3D"styled-by-pr=
ettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">&=
amp;&</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><=
br>=C2=A0 =C2=A0</span><span style=3D"color: #606;" class=3D"styled-by-pret=
tify">IndirectRegularInvocable</span><span style=3D"color: #660;" class=3D"=
styled-by-prettify"><</span><span style=3D"color: #606;" class=3D"styled=
-by-prettify">Op2</span><span style=3D"color: #660;" class=3D"styled-by-pre=
ttify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> <=
/span><span style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</span>=
<span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"col=
or: #606;" class=3D"styled-by-prettify">Arg2</span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">>()</span><span style=3D"color: #000;"=
class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">&&</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #606;" c=
lass=3D"styled-by-prettify">RegularInvocable</span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify"><</span><span style=3D"color: #606;" c=
lass=3D"styled-by-prettify">Op1</span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> T</span><span style=3D"color: #660;" class=3D"styled-by-pretti=
fy">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </sp=
an><span style=3D"color: #606;" class=3D"styled-by-prettify">InnerResult</s=
pan><span style=3D"color: #660;" class=3D"styled-by-prettify">>()</span>=
<span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span sty=
le=3D"color: #660;" class=3D"styled-by-prettify">&&</span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><s=
pan style=3D"color: #606;" class=3D"styled-by-prettify">Assignable</span><s=
pan style=3D"color: #660;" class=3D"styled-by-prettify"><</span><span st=
yle=3D"color: #000;" class=3D"styled-by-prettify">T</span><span style=3D"co=
lor: #660;" class=3D"styled-by-prettify">&,</span><span style=3D"color:=
#000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" c=
lass=3D"styled-by-prettify">OuterResult</span><span style=3D"color: #660;" =
class=3D"styled-by-prettify">>()</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"><br>T inner_product</span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">(</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify">I1 first1</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify"> S1 last1</span><span style=3D"color: #660;" class=3D"styled=
-by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-prett=
ify"> I2 first2</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> S2 =
last2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify"> T init</span>=
<span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"col=
or: #606;" class=3D"styled-by-prettify">Op1</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"> op1 </span><span style=3D"color: #660;" c=
lass=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-b=
y-prettify">Op1</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">{},</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><b=
r></span><font color=3D"#000000"><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify">=C2=A0 =C2=A0</span></font><span style=3D"color: #606;" cla=
ss=3D"styled-by-prettify">Op2</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> op2 </span><span style=3D"color: #660;" class=3D"styled=
-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">Op=
2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">{},</span=
><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span st=
yle=3D"color: #606;" class=3D"styled-by-prettify">Proj1</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> proj1 </span><span style=3D=
"color: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"color:=
#000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" c=
lass=3D"styled-by-prettify">Proj1</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">{},</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-pr=
ettify">Proj2</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"> proj2 </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</span><spa=
n style=3D"color: #660;" class=3D"styled-by-prettify">{});</span><span styl=
e=3D"color: #000;" class=3D"styled-by-prettify"><br></span></div></code></d=
iv><div><br></div><div>That's much easier on the eyes, and our operatio=
ns are properly ordered! Sadly, we've introduced an opportunity for Cra=
fty Programmer who thinks that they know better than their compiler (and li=
brary specification) to manipulate the template specialisation to allow syn=
tactically-compatible-but-semantically-incompatible types to pass the conce=
pt check. This is an unlikely scenario, but we can't rule it out from h=
appening for all concept-checked functions.</div><div><br></div><div><b>Des=
ired outcome</b></div><div><br></div><div>It'd be great if we could do =
this instead:</div><div><br></div><div class=3D"prettyprint" style=3D"backg=
round-color: rgb(250, 250, 250); border-color: rgb(187, 187, 187); border-s=
tyle: solid; border-width: 1px; word-wrap: break-word;"><code class=3D"pret=
typrint"><div class=3D"subprettyprint"><span style=3D"color: #008;" class=
=3D"styled-by-prettify">template</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"style=
d-by-prettify"><</span><span style=3D"color: #606;" class=3D"styled-by-p=
rettify">InputIterator</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> I1</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </s=
pan><span style=3D"color: #606;" class=3D"styled-by-prettify">Sentinel</spa=
n><span style=3D"color: #660;" class=3D"styled-by-prettify"><</span><spa=
n style=3D"color: #000;" class=3D"styled-by-prettify">I1</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">></span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify"> S1</span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styl=
ed-by-prettify">InputIterator</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> I2</span><span style=3D"color: #660;" class=3D"styled-b=
y-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">Sentin=
el</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify">I2</span><span=
style=3D"color: #660;" class=3D"styled-by-prettify">></span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> S2</span><span style=3D"col=
or: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color=
: #606;" class=3D"styled-by-prettify">CopyConstructible</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> T</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;"=
class=3D"styled-by-prettify"> </span><span style=3D"color: #008;" class=3D=
"styled-by-prettify">typename</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-=
prettify">Op1</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=3D</s=
pan><span style=3D"color: #000;" class=3D"styled-by-prettify"> plus</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify"><>,</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #008;" class=3D"styled-by-prettify">typename</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color=
: #606;" class=3D"styled-by-prettify">Op2</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> multiplies</span><span style=3D"color: #660;" class=3D"st=
yled-by-prettify"><>,</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=
=3D"styled-by-prettify">typename</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"style=
d-by-prettify">Proj1</span><span style=3D"color: #000;" class=3D"styled-by-=
prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify"=
>=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> ident=
ity</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span st=
yle=3D"color: #008;" class=3D"styled-by-prettify">typename</span><span styl=
e=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"colo=
r: #606;" class=3D"styled-by-prettify">Proj2</span><span style=3D"color: #0=
00;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" clas=
s=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"st=
yled-by-prettify"> identity</span><span style=3D"color: #660;" class=3D"sty=
led-by-prettify">></span><span style=3D"color: #000;" class=3D"styled-by=
-prettify"><br>requires requires </span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">{</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify"><br>=C2=A0 =C2=A0requires </span><span style=3D"color: #606;=
" class=3D"styled-by-prettify">Assignable</span><span style=3D"color: #660;=
" class=3D"styled-by-prettify"><</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify">T</span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">&,</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> </span><span style=3D"color: #008;" class=3D"styled-by-prettif=
y">const</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> T=
</span><span style=3D"color: #660;" class=3D"styled-by-prettify">&>(=
);</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br><br>=
=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=3D"styled-by-prettif=
y">using</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> <=
/span><span style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</span>=
<span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span sty=
le=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><span style=3D"c=
olor: #000;" class=3D"styled-by-prettify"> projected</span><span style=3D"c=
olor: #660;" class=3D"styled-by-prettify"><</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify">I1</span><span style=3D"color: #660;" c=
lass=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-=
prettify">Proj1</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">>;</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
<br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=3D"styled-by-pre=
ttify">using</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</s=
pan><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span=
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> projected</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify"><</span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify">I2</span><span style=3D"color: #66=
0;" class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"style=
d-by-prettify">Proj2</span><span style=3D"color: #660;" class=3D"styled-by-=
prettify">>;</span><span style=3D"color: #000;" class=3D"styled-by-prett=
ify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" class=3D"styled-b=
y-prettify">using</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify"> </span><span style=3D"color: #606;" class=3D"styled-by-prettify">In=
ner_result</span><span style=3D"color: #000;" class=3D"styled-by-prettify">=
</span><span style=3D"color: #660;" class=3D"styled-by-prettify">=3D</span=
><span style=3D"color: #000;" class=3D"styled-by-prettify"> indirect_result=
_of_t</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><<=
/span><span style=3D"color: #606;" class=3D"styled-by-prettify">Op2</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify">&(</span><span=
style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color=
: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #606;" =
class=3D"styled-by-prettify">Arg2</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">)>;</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify"><br>=C2=A0 =C2=A0</span><span style=3D"color: #008;" cl=
ass=3D"styled-by-prettify">using</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #606;" class=3D"style=
d-by-prettify">Outer_result</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-pr=
ettify">=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"=
> result_of_t</span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y"><</span><span style=3D"color: #606;" class=3D"styled-by-prettify">Op1=
</span><span style=3D"color: #660;" class=3D"styled-by-prettify">&(</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify">T</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #6=
06;" class=3D"styled-by-prettify">InnerResult</span><span style=3D"color: #=
660;" class=3D"styled-by-prettify">)>;</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"><br><br>=C2=A0 =C2=A0requires </span><span s=
tyle=3D"color: #606;" class=3D"styled-by-prettify">IndirectRegularInvocable=
</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><</span=
><span style=3D"color: #606;" class=3D"styled-by-prettify">Op2</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #6=
06;" class=3D"styled-by-prettify">Arg1</span><span style=3D"color: #660;" c=
lass=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-=
prettify">Arg2</span><span style=3D"color: #660;" class=3D"styled-by-pretti=
fy">>();</span><span style=3D"color: #000;" class=3D"styled-by-prettify"=
><br>=C2=A0 =C2=A0requires </span><span style=3D"color: #606;" class=3D"sty=
led-by-prettify">RegularInvocable</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify"><</span><span style=3D"color: #606;" class=3D"st=
yled-by-prettify">Op1</span><span style=3D"color: #660;" class=3D"styled-by=
-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"> T</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</spa=
n><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span s=
tyle=3D"color: #606;" class=3D"styled-by-prettify">InnerResult</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">>();</span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0requires =
</span><span style=3D"color: #606;" class=3D"styled-by-prettify">Assignable=
</span><span style=3D"color: #660;" class=3D"styled-by-prettify"><</span=
><span style=3D"color: #000;" class=3D"styled-by-prettify">T</span><span st=
yle=3D"color: #660;" class=3D"styled-by-prettify">&,</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color=
: #606;" class=3D"styled-by-prettify">OuterResult</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">>();</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify"><br></span><span style=3D"color: #660;"=
class=3D"styled-by-prettify">}</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify"><br>T inner_product</span><span style=3D"color: #660;"=
class=3D"styled-by-prettify">(</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify">I1 first1</span><span style=3D"color: #660;" class=3D"=
styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by=
-prettify"> S1 last1</span><span style=3D"color: #660;" class=3D"styled-by-=
prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"=
> I2 first2</span><span style=3D"color: #660;" class=3D"styled-by-prettify"=
>,</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> S2 last=
2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><=
span style=3D"color: #000;" class=3D"styled-by-prettify"> T init</span><spa=
n style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color=
: #606;" class=3D"styled-by-prettify">Op1</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify"> op1 </span><span style=3D"color: #660;" cla=
ss=3D"styled-by-prettify">=3D</span><span style=3D"color: #000;" class=3D"s=
tyled-by-prettify"> </span><span style=3D"color: #606;" class=3D"styled-by-=
prettify">Op1</span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y">{},</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br>=
</span></div></code><font color=3D"#000000" style=3D"font-family: monospace=
;"><span class=3D"styled-by-prettify">=C2=A0 =C2=A0</span></font><span clas=
s=3D"styled-by-prettify" style=3D"font-family: monospace; color: rgb(102, 0=
, 102);">Op2</span><span class=3D"styled-by-prettify" style=3D"font-family:=
monospace; color: rgb(0, 0, 0);">=C2=A0op2=C2=A0</span><span class=3D"styl=
ed-by-prettify" style=3D"font-family: monospace; color: rgb(102, 102, 0);">=
=3D</span><span class=3D"styled-by-prettify" style=3D"font-family: monospac=
e; color: rgb(0, 0, 0);">=C2=A0</span><span class=3D"styled-by-prettify" st=
yle=3D"font-family: monospace; color: rgb(102, 0, 102);">Op2</span><span cl=
ass=3D"styled-by-prettify" style=3D"font-family: monospace; color: rgb(102,=
102, 0);">{},</span><span class=3D"styled-by-prettify" style=3D"font-famil=
y: monospace; color: rgb(0, 0, 0);">=C2=A0</span><span class=3D"styled-by-p=
rettify" style=3D"font-family: monospace; color: rgb(102, 0, 102);">Proj1</=
span><span class=3D"styled-by-prettify" style=3D"font-family: monospace; co=
lor: rgb(0, 0, 0);">=C2=A0proj1=C2=A0</span><span class=3D"styled-by-pretti=
fy" style=3D"font-family: monospace; color: rgb(102, 102, 0);">=3D</span><s=
pan class=3D"styled-by-prettify" style=3D"font-family: monospace; color: rg=
b(0, 0, 0);">=C2=A0</span><span class=3D"styled-by-prettify" style=3D"font-=
family: monospace; color: rgb(102, 0, 102);">Proj1</span><span class=3D"sty=
led-by-prettify" style=3D"font-family: monospace; color: rgb(102, 102, 0);"=
>{},</span><span class=3D"styled-by-prettify" style=3D"font-family: monospa=
ce; color: rgb(0, 0, 0);">=C2=A0</span><span class=3D"styled-by-prettify" s=
tyle=3D"font-family: monospace; color: rgb(102, 0, 102);">Proj2</span><span=
class=3D"styled-by-prettify" style=3D"font-family: monospace; color: rgb(0=
, 0, 0);">=C2=A0proj2=C2=A0</span><span class=3D"styled-by-prettify" style=
=3D"font-family: monospace; color: rgb(102, 102, 0);">=3D</span><span class=
=3D"styled-by-prettify" style=3D"font-family: monospace; color: rgb(0, 0, 0=
);">=C2=A0</span><span class=3D"styled-by-prettify" style=3D"font-family: m=
onospace; color: rgb(102, 0, 102);">Proj2</span><span class=3D"styled-by-pr=
ettify" style=3D"font-family: monospace; color: rgb(102, 102, 0);">{});</sp=
an></div><div><font face=3D"courier new, monospace"><br></font></div><div><=
b style=3D"font-family: arial, sans-serif;">Why is this desirable, given th=
e above motivation?</b><br></div><div><span style=3D"font-family: arial, sa=
ns-serif;"><br></span></div><div><span style=3D"font-family: arial, sans-se=
rif;">Unlike the example given in our motivation, this indisputably communi=
cates to both programmers and the compiler that </span><font face=3D"courie=
r new, monospace">Arg1</font><span style=3D"font-family: arial, sans-serif;=
">, </span><font face=3D"courier new, monospace">Arg2</font><span style=3D"=
font-family: arial, sans-serif;">, </span><font face=3D"courier new, monosp=
ace">Inner_result</font><span style=3D"font-family: arial, sans-serif;"> an=
d </span><font face=3D"courier new, monospace">Outer_result</font><span sty=
le=3D"font-family: arial, sans-serif;"> are not supposed to be changed by r=
emoving them from a position where a programmer can accidentally or deliber=
ately provide an alternative type.</span></div><div><span style=3D"font-fam=
ily: arial, sans-serif;"><br></span></div><div><span style=3D"font-family: =
arial, sans-serif;">-------------------------------------------------------=
---------------------------------------------------------------------------=
------------------------------------</span></div><div><span style=3D"font-f=
amily: arial, sans-serif;"><br></span></div><div><span style=3D"font-family=
: arial, sans-serif;">The attached document goes through the same examples =
(albeit some different wording), but then goes on to suggest the different =
ways that I think we could allow type aliases inside requirements bodies, a=
nd discusses their implications (starting on page 3 and ending on page 5). =
Given the length of the email thus far, I figured it'd be better to lea=
ve them in the document.</span></div><div><br></div><div>What do you think?=
</div><div><br></div><div>Cheers,</div><div><br></div><div>Chris</div><div>=
<br>On Saturday, 8 April 2017 22:51:28 UTC+10, Christopher Di Bella wrote:=
<blockquote class=3D"gmail_quote" style=3D"margin: 0;margin-left: 0.8ex;bor=
der-left: 1px #ccc solid;padding-left: 1ex;"><span>Hey everyone,</span><div=
><br></div><div>I've been wanting to have type aliases in concepts in s=
ome form for quite a while, and with input from Casey Carter and Eric Niebl=
er, I've been able to draft the attached proposal.</div><div><br></div>=
<div>After some time baking and considering use-cases, I think it's rea=
dy to show off here. Note that I'm in the middle of implementing the fe=
ature.</div><div><br></div><div>What do you think?=C2=A0</div><div><br></di=
v><div>Cheers,</div><div><br></div><div>Chris</div><div><br></div><div>P. S=
..=C2=A0I've bcc'd a few people who I think might be interested, but=
am not sure if you'd like to opt out. Not sure how you can opt-in, but=
at least you won't have spam in your inbox if you're a bit too bus=
y :)=C2=A0<br></div>
</blockquote></div></div>
<p></p>
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------=_Part_2726_931094203.1493734957000--
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------=_Part_2725_2140760062.1493734956997--
.
Author: Tom Honermann <tom@honermann.net>
Date: Thu, 4 May 2017 09:02:41 -0400
Raw View
This is a multi-part message in MIME format.
--------------77AC81835BEB888818672100
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Hi Chris. I would like to have some way to specify a local alias as
you've described here, so I encourage you to submit a paper.
I'm hopeful that we'll get some changes to the syntax for concept
definitions as proposed in P0587 [1]. It might be worth thinking about
how a solution would fit into that proposed syntax. For example, how
would you solve for the following syntax?
concept Foo : Bar<T>, Baz<typename T::type> requires (T t) { { t.foo() }
-> typename T::type; };
There was some discussion a while back about solving this issue for base
class specifiers. See the "base class aliases" email thread [2].
Tom.
[1]: http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2017/p0587r0.pdf
[2]:
https://groups.google.com/a/isocpp.org/forum/#!searchin/std-proposals/base$20class$20aliases/std-proposals/zNvQQTKvoLQ/-5qMiIqvOP4J
On 05/02/2017 10:22 AM, Christopher Di Bella wrote:
> Hi all,
>
> I posted a proposal a few weeks ago, regarding an extension to the
> Concepts TS that allows type aliases inside requirement bodies, but it
> didn't get the traction I was hoping it would. The previous email
> didn't give any motivation outside of the attached document, so I
> thought I'd touch base, and add a bit of motivation in the email; in
> case you can't read the document right now. Thanks to Sergey Zubkov
> for bringing that to my attention.
>
> *Motivation 1*
> *
> *
> Concepts are fun to work with, and fun to design, but anything with
> more than a few names is tedious to type up, and tedious to read.
> Consider this rather verbose attempt at drafting a concept for a
> sequence container:
>
> |
> // using value_type_t, difference_type_t, and concepts from Ranges TS
>
> template<typenameX,typename...Args>
>
> conceptboolSequenceContaioner=Container<X>&&requires {
> typenamevalue_type_t<X>;
> typenamedifference_type_t<X>;
> requires Constructible<X,difference_type_t<X>,value_type_t<X>>();
> requires Construictible<X,initializer_list<value_type_t<X>>>();
> requires Assignable<X&,initializer_list<value_type_t<X>>>();
> // ...
> };
> |
>
> Our current SequenceContainer is quite jarring to read, so we might
> like to split it into SequenceContainer and detail::SequenceConstructible:
>
> |
> namespacedetail {
> template<typenameX,typenameT,typenameD,typename...Args>
> conceptboolSequenceConstructible=Constructible<X,D,T>()&&
> Constructible<X,initializer_list<T>>()&&
> Assignable<X&,initializer_list<T>>()
> // ...
> ;
> // Other SequenceContainer details here...
> }// namespace detail
>
> template<typenameX,typename...Args>
> conceptboolSequenceContainer=Container<X>&&
>
> detail::SequenceConstructible<X,value_type_t<X>,difference_type_t<X>,Args...>//
> &&
> // ...
> ;
> |
>
> Now we can read the implementation of a SequenceContainer without the
> added noise of value_type_t<X>, difference_type_t<X>, and
> initializer_list<value_type_t<X>> at every turn, but we've now created
> a second, exposition-only concept with exactly one use-case: to
> facilitate the readability of our usable concept that (hopefully!) has
> many use-cases. Furthermore, we need to find a meaningful name for our
> exposition-only concepts so that they are easy to understand.
>
> *Desired outcome*
> *
> *
> It would be nice to have something that resembles:
>
> |
> template<typenameX,typename...Args>
> conceptboolSequenceContainer=Container<X>&&requires {
> requires usingvalue_type =value_type_t<X>;// type alias value_type,
> typename requirement for value_type_t<X>
> requires usingdifference_type =difference_type_t<X>;
> usinginitializer_list_type =initializer_list<value_type>;// just a
> type alias
>
> requires Constructible<X,difference_type,value_type>();
> requires Constructible<X,initializer_list_type>();
> requires Assignable<X&,initializer_list_type>();
> // ...
> };
> |
>
>
> *Why is this desirable given the above motivation?*
>
> * Exposition-only concepts that exist solely to improve readability
> are removed.
>
> *Motivation 2*
>
> Let's now consider an attempt to turn std::inner_product into a
> concept-checked inner_product:
>
> |
> template<InputIteratorI1,Sentinel<I1>S1,InputIteratorI2,Sentinel<I2>S2,
> CopyConstructibleT,
> typenameProj1=identity,typenameProj2=identity,
> IndirectRegularInvocable<projected<I1,Proj1>,projected<I2,Proj2>>Op2=multiplies<>,
> RegularInvocable<T,
>
> indirect_result_of_t<Op2&(projected<I1,Proj1>,projected<I2,Proj2>)>>Op1=plus<>>
> requires
> Assignable<T&,constT&>()&&
> Assignable<T&,result_of_t<Op1&(T,
>
> indirect_result_of_t<Op2&(projected<I1,Proj1>,projected<I2,Proj2>)>)>>()
> T inner_product(I1 first1,S1 last1,I2 first2,S2 last2,T init,Op1op1
> =Op1{},
> Op2op2 =Op2{},Proj1proj1 =Proj1{},Proj2proj2 =Proj2{});
> |
>
> Ugly. There's lots of repetition, and overall, it's quite difficult to
> reason if it's correct. Let's tidy that up a bit:
>
> |
> template<InputIteratorI1,Sentinel<I1>S1,InputIteratorI2,Sentinel<I2>S2,
> CopyConstructibleT,
> typenameOp1=plus<>,typenameOp2=multiplies,
> typenameProj1=identity,typenameProj2=identity,
> typenameArg1=projected<I1,Proj1>,typenameArg2=projected<I2,Proj2>,
> typenameInnerResult=indirect_result_of_t<Op2&(Arg1,Arg2)>,
> typenameOuterResult=result_of_t<Op1&(T,InnerResult)>>
> requires
> Assignable<T&,constT&>()&&
> IndirectRegularInvocable<Op2,Arg1,Arg2>()&&
> RegularInvocable<Op1,T,InnerResult>()&&
> Assignable<T&,OuterResult>()
> T inner_product(I1 first1,S1 last1,I2 first2,S2 last2,T init,Op1op1
> =Op1{},
> Op2op2 =Op2{},Proj1proj1 =Proj1{},Proj2proj2 =Proj2{});
> |
>
> That's much easier on the eyes, and our operations are properly
> ordered! Sadly, we've introduced an opportunity for Crafty Programmer
> who thinks that they know better than their compiler (and library
> specification) to manipulate the template specialisation to allow
> syntactically-compatible-but-semantically-incompatible types to pass
> the concept check. This is an unlikely scenario, but we can't rule it
> out from happening for all concept-checked functions.
>
> *Desired outcome*
>
> It'd be great if we could do this instead:
>
> |
> template<InputIteratorI1,Sentinel<I1>S1,InputIteratorI2,Sentinel<I2>S2,
> CopyConstructibleT,typenameOp1=plus<>,typenameOp2=multiplies<>,
> typenameProj1=identity,typenameProj2=identity>
> requires requires {
> requires Assignable<T&,constT&>();
>
> usingArg1=projected<I1,Proj1>;
> usingArg2=projected<I2,Proj2>;
> usingInner_result=indirect_result_of_t<Op2&(Arg1,Arg2)>;
> usingOuter_result=result_of_t<Op1&(T,InnerResult)>;
>
> requires IndirectRegularInvocable<Op2,Arg1,Arg2>();
> requires RegularInvocable<Op1,T,InnerResult>();
> requires Assignable<T&,OuterResult>();
> }
> T inner_product(I1 first1,S1 last1,I2 first2,S2 last2,T init,Op1op1
> =Op1{},
> |Op2 op2 =Op2{},Proj1 proj1 =Proj1{},Proj2 proj2 =Proj2{});
>
> *Why is this desirable, given the above motivation?*
>
> Unlike the example given in our motivation, this indisputably
> communicates to both programmers and the compiler that Arg1, Arg2,
> Inner_resultand Outer_resultare not supposed to be changed by removing
> them from a position where a programmer can accidentally or
> deliberately provide an alternative type.
>
> ----------------------------------------------------------------------------------------------------------------------------------------------------------------------
>
> The attached document goes through the same examples (albeit some
> different wording), but then goes on to suggest the different ways
> that I think we could allow type aliases inside requirements bodies,
> and discusses their implications (starting on page 3 and ending on
> page 5). Given the length of the email thus far, I figured it'd be
> better to leave them in the document.
>
> What do you think?
>
> Cheers,
>
> Chris
>
> On Saturday, 8 April 2017 22:51:28 UTC+10, Christopher Di Bella wrote:
>
> Hey everyone,
>
> I've been wanting to have type aliases in concepts in some form
> for quite a while, and with input from Casey Carter and Eric
> Niebler, I've been able to draft the attached proposal.
>
> After some time baking and considering use-cases, I think it's
> ready to show off here. Note that I'm in the middle of
> implementing the feature.
>
> What do you think?
>
> Cheers,
>
> Chris
>
> P. S. I've bcc'd a few people who I think might be interested, but
> am not sure if you'd like to opt out. Not sure how you can opt-in,
> but at least you won't have spam in your inbox if you're a bit too
> busy :)
>
> --
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--------------77AC81835BEB888818672100
Content-Type: text/html; charset=UTF-8
Content-Transfer-Encoding: quoted-printable
<html>
<head>
<meta content=3D"text/html; charset=3Dutf-8" http-equiv=3D"Content-Type=
">
</head>
<body bgcolor=3D"#FFFFFF" text=3D"#000000">
<div class=3D"moz-cite-prefix">Hi Chris.=C2=A0 I would like to have som=
e
way to specify a local alias as you've described here, so I
encourage you to submit a paper.<br>
<br>
I'm hopeful that we'll get some changes to the syntax for concept
definitions as proposed in P0587 [1].=C2=A0 It might be worth thinkin=
g
about how a solution would fit into that proposed syntax.=C2=A0 For
example, how would you solve for the following syntax?<br>
<br>
concept Foo : Bar<T>, Baz<typename T::type> requires
(T t) { { t.foo() } -> typename T::type; };<br>
<br>
There was some discussion a while back about solving this issue
for base class specifiers.=C2=A0 See the "<span id=3D"t-t"
class=3D"IVILX2C-mb-Y">base class aliases" email thread [2].</span>=
<br>
<br>
Tom.<br>
<br>
[1]:
<a class=3D"moz-txt-link-freetext" href=3D"http://www.open-std.org/jt=
c1/sc22/wg21/docs/papers/2017/p0587r0.pdf">http://www.open-std.org/jtc1/sc2=
2/wg21/docs/papers/2017/p0587r0.pdf</a><br>
[2]:
<a class=3D"moz-txt-link-freetext" href=3D"https://groups.google.com/a/isoc=
pp.org/forum/#!searchin/std-proposals/base$20class$20aliases/std-proposals/=
zNvQQTKvoLQ/-5qMiIqvOP4J">https://groups.google.com/a/isocpp.org/forum/#!se=
archin/std-proposals/base$20class$20aliases/std-proposals/zNvQQTKvoLQ/-5qMi=
IqvOP4J</a><br>
<br>
On 05/02/2017 10:22 AM, Christopher Di Bella wrote:<br>
</div>
<blockquote
cite=3D"mid:f7763f3c-f438-4992-86bb-da856fa8ca24@isocpp.org"
type=3D"cite">
<div dir=3D"ltr">Hi all,
<div><br>
</div>
<div>I posted a proposal a few weeks ago, regarding an extension
to the Concepts TS that allows type aliases inside requirement
bodies, but it didn't get the traction I was hoping it would.
The previous email didn't give any motivation outside of the
attached document, so I thought I'd touch base, and add a bit
of motivation in the email; in case you can't read the
document right now. Thanks to Sergey Zubkov for bringing that
to my attention.</div>
<div><br>
</div>
<div><b><font size=3D"4">Motivation 1</font></b></div>
<div><b><br>
</b></div>
<div>Concepts are fun to work with, and fun to design, but
anything with more than a few names is tedious to type up, and
tedious to read.</div>
<div>Consider this rather verbose attempt at drafting a concept
for a sequence container:</div>
<div><br>
</div>
<div class=3D"prettyprint" style=3D"background-color: rgb(250, 250,
250); border-color: rgb(187, 187, 187); border-style: solid;
border-width: 1px; word-wrap: break-word;"><code
class=3D"prettyprint">
<div class=3D"subprettyprint"><span style=3D"color: #800;"
class=3D"styled-by-prettify">// using value_type_t,
difference_type_t, and concepts from Ranges TS</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
<br>
</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">template</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> X</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">...</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Args</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
<br>
</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">concept</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">bool</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sequenc=
eContaioner</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Contain=
er</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
requires </span><span style=3D"color: #660;"
class=3D"styled-by-prettify">{</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
value_type_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>;</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
difference_type_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>;</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Constructible</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify">
difference_type_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
value_type_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>>=
;();</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Construictible</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify">
initializer_list</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">value_t=
ype_t</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>>=
;>();</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
initializer_list</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">value_t=
ype_t</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>>=
;>();</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #800;"
class=3D"styled-by-prettify">// ...</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">};</span></div>
</code></div>
<div><br>
</div>
<div>Our current <font face=3D"courier new, monospace">SequenceCont=
ainer</font>
is quite jarring to read, so we might like to split it into <font
face=3D"courier new, monospace">SequenceContainer</font> and <f=
ont
face=3D"courier new, monospace">detail::SequenceConstructible</=
font>:</div>
<div><br>
</div>
<div class=3D"prettyprint" style=3D"background-color: rgb(250, 250,
250); border-color: rgb(187, 187, 187); border-style: solid;
border-width: 1px; word-wrap: break-word;"><code
class=3D"prettyprint">
<div class=3D"subprettyprint"><span style=3D"color: #008;"
class=3D"styled-by-prettify">namespace</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> detail
</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">{</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">template</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> X</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> D</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">...</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Args</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">concept</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">bool</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sequenc=
eConstructible</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Constru=
ctible</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> D</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">>()<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Constructible</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify">
initializer_list</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>>=
;()</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
initializer_list</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>>=
;()</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color: #800;"
class=3D"styled-by-prettify">// ...</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">;</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #800;"
class=3D"styled-by-prettify">// Other SequenceContainer
details here...</span><span style=3D"color: #000;"
class=3D"styled-by-prettify"><br>
</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">}</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> </span><span
style=3D"color: #800;" class=3D"styled-by-prettify">//
namespace detail</span><span style=3D"color: #000;"
class=3D"styled-by-prettify"><br>
<br>
</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">template</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> X</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">...</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Args</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">concept</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">bool</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sequenc=
eContainer</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Contain=
er</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0detail</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">::</span><span style=3D"color:
#606;" class=3D"styled-by-prettify">SequenceConstructible</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify">
value_type_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
difference_type_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Args</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">...>=
</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #800;" class=3D"styled-by-prettify">//
&&</span><span style=3D"color: #000;"
class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #800;"
class=3D"styled-by-prettify">// ...</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">;</span></div>
</code></div>
<div><br>
</div>
<div>Now we can read the implementation of a <font
face=3D"courier new, monospace">SequenceContainer</font>
without the added noise of <font face=3D"courier new,
monospace">value_type_t<X></font>, <font
face=3D"courier new, monospace">difference_type_t<X></fon=
t>,
and <font face=3D"courier new, monospace">initializer_list<val=
ue_type_t<X>></font>
at every turn, but we've now created a second, exposition-only
concept with exactly one use-case: to facilitate the
readability of our usable concept that (hopefully!) has many
use-cases. Furthermore, we need to find a meaningful name for
our exposition-only concepts so that they are easy to
understand.</div>
<div><br>
</div>
<div><b>Desired outcome</b></div>
<div><b><br>
</b></div>
<div>It would be nice to have something that resembles:</div>
<div><br>
</div>
<div class=3D"prettyprint" style=3D"background-color: rgb(250, 250,
250); border-color: rgb(187, 187, 187); border-style: solid;
border-width: 1px; word-wrap: break-word;"><code
class=3D"prettyprint">
<div class=3D"subprettyprint"><span style=3D"color: #008;"
class=3D"styled-by-prettify">template</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> X</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">...</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Args</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">concept</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">bool</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sequenc=
eContainer</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Contain=
er</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
requires </span><span style=3D"color: #660;"
class=3D"styled-by-prettify">{</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #008;"
class=3D"styled-by-prettify">using</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
value_type </span><span style=3D"color: #660;"
class=3D"styled-by-prettify">=3D</span><span style=3D"color=
:
#000;" class=3D"styled-by-prettify"> value_type_t</span><sp=
an
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>;</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #800;" class=3D"styled-by-prettify">// type
alias value_type</span><span style=3D"color: #800;"
class=3D"styled-by-prettify">, typename requirement for
value_type_t<X></span><span style=3D"color: #000;"
class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #008;"
class=3D"styled-by-prettify">using</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
difference_type </span><span style=3D"color: #660;"
class=3D"styled-by-prettify">=3D</span><span style=3D"color=
:
#000;" class=3D"styled-by-prettify"> difference_type_t</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">>;</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">using</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
initializer_list_type </span><span style=3D"color: #660;"
class=3D"styled-by-prettify">=3D</span><span style=3D"color=
:
#000;" class=3D"styled-by-prettify"> initializer_list</span=
><span
style=3D"color: #080;" class=3D"styled-by-prettify"><val=
ue_type></span><span
style=3D"color: #660;" class=3D"styled-by-prettify">;</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #800;" class=3D"styled-by-prettify">// just
a type alias</span><span style=3D"color: #000;"
class=3D"styled-by-prettify"><br>
<br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Constructible</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify">
difference_type</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> value_type</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>();=
</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Constructible</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify">
initializer_list_type</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">>();</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">X</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
initializer_list_type</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">>();</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #800;"
class=3D"styled-by-prettify">// ...</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">};</span></div>
</code></div>
<div><font face=3D"courier new, monospace"><br>
</font></div>
<div><br>
</div>
<div><b>Why is this desirable given the above motivation?</b></div>
<div>
<ul>
<li>Exposition-only concepts that exist solely to improve
readability are removed.</li>
</ul>
<div><b><font size=3D"4">Motivation 2</font></b></div>
</div>
<div><br>
</div>
<div>Let's now consider an attempt to turn std::inner_product
into a concept-checked inner_product:</div>
<br>
<div class=3D"prettyprint" style=3D"background-color: rgb(250, 250,
250); border-color: rgb(187, 187, 187); border-style: solid;
border-width: 1px; word-wrap: break-word;"><code
class=3D"prettyprint">
<div class=3D"subprettyprint"><span style=3D"color: #008;"
class=3D"styled-by-prettify">template</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #606;" class=3D"styled-by-prettify">InputIt=
erator</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> I1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sentine=
l</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InputIt=
erator</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> I2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sentine=
l</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">CopyConstructible</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
identity</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> </span><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
identity</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">IndirectRegularInvocable</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">project=
ed</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
projected</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>>=
;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
multiplies</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><>,</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">RegularInvocable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 indirect_result_of_t</span><span style=
=3D"color:
#660;" class=3D"styled-by-prettify"><</span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">&(<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">project=
ed</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
projected</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>)&g=
t;></span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> plus</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><>=
;></span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
requires<br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">const</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&g=
t;()</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
result_of_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">&(<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 indirect_result_of_t</span><span style=
=3D"color:
#660;" class=3D"styled-by-prettify"><</span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">&(<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">project=
ed</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify">
projected</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>)&g=
t;)>>()</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
T inner_product</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">(</span><span style=3D"color:
#000;" class=3D"styled-by-prettify">I1 first1</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S1
last1</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> I2 first2</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S2
last2</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> T init</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> op1 </=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">{},</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><font color=3D"#000000"><span style=3D"color: #000;"
class=3D"styled-by-prettify">=C2=A0 =C2=A0</span></font><=
span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> op2 </=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">{},</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> proj1 =
</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">{},</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> proj2 =
</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">{});</s=
pan></div>
</code></div>
<div><br>
</div>
<div>Ugly. There's lots of repetition, and overall, it's quite
difficult to reason if it's correct. Let's tidy that up a bit:</d=
iv>
<div><br>
</div>
<div class=3D"prettyprint" style=3D"background-color: rgb(250, 250,
250); border-color: rgb(187, 187, 187); border-style: solid;
border-width: 1px; word-wrap: break-word;"><code
class=3D"prettyprint">
<div class=3D"subprettyprint"><span style=3D"color: #008;"
class=3D"styled-by-prettify">template</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #606;" class=3D"styled-by-prettify">InputIt=
erator</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> I1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sentine=
l</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InputIt=
erator</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> I2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sentine=
l</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">CopyConstructible</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> plus</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><>=
;,</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
multiplies</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
identity</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> </span><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
identity</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
projected</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
projected</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>,</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InnerRe=
sult</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
indirect_result_of_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">&(<=
/span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">)>,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">OuterRe=
sult</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
result_of_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">&(<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InnerRe=
sult</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">)>&g=
t;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
requires<br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">const</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&g=
t;()</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">IndirectRegularInvocable</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">>()<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">RegularInvocable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InnerRe=
sult</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>()<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&a=
mp;</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">OuterRe=
sult</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>()<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
T inner_product</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">(</span><span style=3D"color:
#000;" class=3D"styled-by-prettify">I1 first1</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S1
last1</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> I2 first2</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S2
last2</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> T init</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> op1 </=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">{},</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><font color=3D"#000000"><span style=3D"color: #000;"
class=3D"styled-by-prettify">=C2=A0 =C2=A0</span></font><=
span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> op2 </=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">{},</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> proj1 =
</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">{},</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> proj2 =
</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">{});</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span></div>
</code></div>
<div><br>
</div>
<div>That's much easier on the eyes, and our operations are
properly ordered! Sadly, we've introduced an opportunity for
Crafty Programmer who thinks that they know better than their
compiler (and library specification) to manipulate the
template specialisation to allow
syntactically-compatible-but-semantically-incompatible types
to pass the concept check. This is an unlikely scenario, but
we can't rule it out from happening for all concept-checked
functions.</div>
<div><br>
</div>
<div><b>Desired outcome</b></div>
<div><br>
</div>
<div>It'd be great if we could do this instead:</div>
<div><br>
</div>
<div class=3D"prettyprint" style=3D"background-color: rgb(250, 250,
250); border-color: rgb(187, 187, 187); border-style: solid;
border-width: 1px; word-wrap: break-word;"><code
class=3D"prettyprint">
<div class=3D"subprettyprint"><span style=3D"color: #008;"
class=3D"styled-by-prettify">template</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #606;" class=3D"styled-by-prettify">InputIt=
erator</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> I1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sentine=
l</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InputIt=
erator</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> I2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Sentine=
l</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">></s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #606;"
class=3D"styled-by-prettify">CopyConstructible</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> plus</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><>=
;,</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
multiplies</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><>,</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">typename</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
identity</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> </span><span
style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
e</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
identity</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">></span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
requires requires </span><span style=3D"color: #660;"
class=3D"styled-by-prettify">{</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #008;" class=3D"styled-by-prettify">const</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">&&g=
t;();</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
<br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">using</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
projected</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">I1</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj1</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>;</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">using</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
projected</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #000;" class=3D"styled-by-prettify">I2</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Proj2</=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>;</=
span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">using</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Inner_r=
esult</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
indirect_result_of_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">&(<=
/span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">)>;<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color: #008;"
class=3D"styled-by-prettify">using</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Outer_r=
esult</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify">
result_of_t</span><span style=3D"color: #660;"
class=3D"styled-by-prettify"><</span><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">&(<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InnerRe=
sult</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">)>;<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
<br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">IndirectRegularInvocable</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op2</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg1</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Arg2</s=
pan><span
style=3D"color: #660;" class=3D"styled-by-prettify">>();=
</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">RegularInvocable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> T</spa=
n><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">InnerRe=
sult</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>();=
</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color: #606;"
class=3D"styled-by-prettify">Assignable</span><span
style=3D"color: #660;" class=3D"styled-by-prettify"><</s=
pan><span
style=3D"color: #000;" class=3D"styled-by-prettify">T</span=
><span
style=3D"color: #660;" class=3D"styled-by-prettify">&,<=
/span><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">OuterRe=
sult</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">>();=
</span><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">}</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"><br>
T inner_product</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">(</span><span style=3D"color:
#000;" class=3D"styled-by-prettify">I1 first1</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S1
last1</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> I2 first2</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> S2
last2</span><span style=3D"color: #660;"
class=3D"styled-by-prettify">,</span><span style=3D"color:
#000;" class=3D"styled-by-prettify"> T init</span><span
style=3D"color: #660;" class=3D"styled-by-prettify">,</span=
><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> op1 </=
span><span
style=3D"color: #660;" class=3D"styled-by-prettify">=3D</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"> </span=
><span
style=3D"color: #606;" class=3D"styled-by-prettify">Op1</sp=
an><span
style=3D"color: #660;" class=3D"styled-by-prettify">{},</sp=
an><span
style=3D"color: #000;" class=3D"styled-by-prettify"><br>
</span></div>
</code><font style=3D"font-family: monospace;" color=3D"#000000">=
<span
class=3D"styled-by-prettify">=C2=A0 =C2=A0</span></font><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 0, 102);">Op2</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0op2=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 102, 0);">=3D</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 0, 102);">Op2</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 102, 0);">{},</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 0, 102);">Proj1</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0proj1=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 102, 0);">=3D</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 0, 102);">Proj1</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 102, 0);">{},</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 0, 102);">Proj2</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0proj2=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 102, 0);">=3D</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(0, 0, 0);">=C2=A0</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 0, 102);">Proj2</span><span
class=3D"styled-by-prettify" style=3D"font-family: monospace;
color: rgb(102, 102, 0);">{});</span></div>
<div><font face=3D"courier new, monospace"><br>
</font></div>
<div><b style=3D"font-family: arial, sans-serif;">Why is this
desirable, given the above motivation?</b><br>
</div>
<div><span style=3D"font-family: arial, sans-serif;"><br>
</span></div>
<div><span style=3D"font-family: arial, sans-serif;">Unlike the
example given in our motivation, this indisputably
communicates to both programmers and the compiler that </span><=
font
face=3D"courier new, monospace">Arg1</font><span
style=3D"font-family: arial, sans-serif;">, </span><font
face=3D"courier new, monospace">Arg2</font><span
style=3D"font-family: arial, sans-serif;">, </span><font
face=3D"courier new, monospace">Inner_result</font><span
style=3D"font-family: arial, sans-serif;"> and </span><font
face=3D"courier new, monospace">Outer_result</font><span
style=3D"font-family: arial, sans-serif;"> are not supposed to
be changed by removing them from a position where a
programmer can accidentally or deliberately provide an
alternative type.</span></div>
<div><span style=3D"font-family: arial, sans-serif;"><br>
</span></div>
<div><span style=3D"font-family: arial, sans-serif;">--------------=
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
--</span></div>
<div><span style=3D"font-family: arial, sans-serif;"><br>
</span></div>
<div><span style=3D"font-family: arial, sans-serif;">The attached
document goes through the same examples (albeit some
different wording), but then goes on to suggest the
different ways that I think we could allow type aliases
inside requirements bodies, and discusses their implications
(starting on page 3 and ending on page 5). Given the length
of the email thus far, I figured it'd be better to leave
them in the document.</span></div>
<div><br>
</div>
<div>What do you think?</div>
<div><br>
</div>
<div>Cheers,</div>
<div><br>
</div>
<div>Chris</div>
<div><br>
On Saturday, 8 April 2017 22:51:28 UTC+10, Christopher Di
Bella wrote:
<blockquote class=3D"gmail_quote" style=3D"margin: 0;margin-left:
0.8ex;border-left: 1px #ccc solid;padding-left: 1ex;"><span>Hey
everyone,</span>
<div><br>
</div>
<div>I've been wanting to have type aliases in concepts in
some form for quite a while, and with input from Casey
Carter and Eric Niebler, I've been able to draft the
attached proposal.</div>
<div><br>
</div>
<div>After some time baking and considering use-cases, I
think it's ready to show off here. Note that I'm in the
middle of implementing the feature.</div>
<div><br>
</div>
<div>What do you think?=C2=A0</div>
<div><br>
</div>
<div>Cheers,</div>
<div><br>
</div>
<div>Chris</div>
<div><br>
</div>
<div>P. S.=C2=A0I've bcc'd a few people who I think might be
interested, but am not sure if you'd like to opt out. Not
sure how you can opt-in, but at least you won't have spam
in your inbox if you're a bit too busy :)=C2=A0<br>
</div>
</blockquote>
</div>
</div>
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--------------77AC81835BEB888818672100--
.
Author: Christopher Di Bella <cjdb.ns@gmail.com>
Date: Mon, 08 May 2017 12:49:44 +0000
Raw View
--001a114e523e0d39e6054f02ad17
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Thanks for your input Tom. I won't be able to make it to Toronto, but I'll
do my very best for Albuquerque. Based off the guidelines on isocpp, I
think I need to attend a meeting before making a core proposal anyway (or
have a champion that has been).
>There was some discussion a while back about solving this issue for base
class specifiers. See the "base class aliases" email thread [2].
I don't know committee procedures (yet), but would it be possible for us to
kill two birds with one stone and get aliases for base class specifiers too?
> It might be worth thinking about how a solution would fit into that
proposed syntax. For example, how would you solve for the following syntax?
As discovered in [2], this isn't quite straightforward. Getting this into
the proposal would be handy, but is it essential for the proposal to move
to a meeting?
The best solutions that I could think of were (listed in order of
preference):
// attempt 1:
template <typename T>
concept Foo :
Bar<T>,
requires using value_type = value_type_t<T>, // a refinement may be
either a concept, a type-alias, or a required type-alias
Baz<value_type>,
requires(T t) {
using iterator = iterator_t<T>;
{t.foo(value_type)} -> iterator;
};
// attempt 2
template <typename T>
concept Foo : {
requires using value_type = value_type_t<T>;
}, Bar<T>, Baz<value_type>
requires(T t) {
using iterator = iterator_t<T>;
{t.foo(value_type)} -> iterator;
};
// attempt 3
template <typename T>
concept Foo : using{
requires value_type = value_type_t<T>;
}, Bar<T>, Baz<value_type>
requires(T t) {
using iterator = iterator_t<T>;
{t.foo(value_type)} -> iterator;
};
I'm not really a fan of any of them (I think #2 and #3 are discouraged in
[2]), but I think given the way refinements are proposed, #1 has the most
appeal, as it can help refine the concept, as well as provide a useful
alias.
I'm interested to hear your thoughts on this!
Kind regards,
Chris
On Thu, 4 May 2017 at 23:02 Tom Honermann <tom@honermann.net> wrote:
> Hi Chris. I would like to have some way to specify a local alias as
> you've described here, so I encourage you to submit a paper.
>
> I'm hopeful that we'll get some changes to the syntax for concept
> definitions as proposed in P0587 [1]. It might be worth thinking about how
> a solution would fit into that proposed syntax. For example, how would you
> solve for the following syntax?
>
> concept Foo : Bar<T>, Baz<typename T::type> requires (T t) { { t.foo() }
> -> typename T::type; };
>
> There was some discussion a while back about solving this issue for base
> class specifiers. See the "base class aliases" email thread [2].
>
> Tom.
>
> [1]: http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2017/p0587r0.pdf
> [2]:
> https://groups.google.com/a/isocpp.org/forum/#!searchin/std-proposals/base$20class$20aliases/std-proposals/zNvQQTKvoLQ/-5qMiIqvOP4J
>
>
> On 05/02/2017 10:22 AM, Christopher Di Bella wrote:
>
> Hi all,
>
> I posted a proposal a few weeks ago, regarding an extension to the
> Concepts TS that allows type aliases inside requirement bodies, but it
> didn't get the traction I was hoping it would. The previous email didn't
> give any motivation outside of the attached document, so I thought I'd
> touch base, and add a bit of motivation in the email; in case you can't
> read the document right now. Thanks to Sergey Zubkov for bringing that to
> my attention.
>
> *Motivation 1*
>
> Concepts are fun to work with, and fun to design, but anything with more
> than a few names is tedious to type up, and tedious to read.
> Consider this rather verbose attempt at drafting a concept for a sequence
> container:
>
> // using value_type_t, difference_type_t, and concepts from Ranges TS
>
> template <typename X, typename... Args>
>
> concept bool SequenceContaioner = Container<X> && requires {
> typename value_type_t<X>;
> typename difference_type_t<X>;
> requires Constructible<X, difference_type_t<X>, value_type_t<X>>();
> requires Construictible<X, initializer_list<value_type_t<X>>>();
> requires Assignable<X&, initializer_list<value_type_t<X>>>();
> // ...
> };
>
> Our current SequenceContainer is quite jarring to read, so we might like
> to split it into SequenceContainer and detail::SequenceConstructible:
>
> namespace detail {
> template <typename X, typename T, typename D, typename... Args>
> concept bool SequenceConstructible = Constructible<X, D, T>() &&
> Constructible<X, initializer_list<T>>() &&
> Assignable<X&, initializer_list<T>>()
> // ...
> ;
> // Other SequenceContainer details here...
> } // namespace detail
>
> template <typename X, typename... Args>
> concept bool SequenceContainer = Container<X> &&
> detail::SequenceConstructible<X, value_type_t<X>, difference_type_t<X>,
> Args...> // &&
> // ...
> ;
>
> Now we can read the implementation of a SequenceContainer without the
> added noise of value_type_t<X>, difference_type_t<X>, and
> initializer_list<value_type_t<X>> at every turn, but we've now created a
> second, exposition-only concept with exactly one use-case: to facilitate
> the readability of our usable concept that (hopefully!) has many use-cases.
> Furthermore, we need to find a meaningful name for our exposition-only
> concepts so that they are easy to understand.
>
> *Desired outcome*
>
> It would be nice to have something that resembles:
>
> template <typename X, typename... Args>
> concept bool SequenceContainer = Container<X> && requires {
> requires using value_type = value_type_t<X>; // type alias value_type,
> typename requirement for value_type_t<X>
> requires using difference_type = difference_type_t<X>;
> using initializer_list_type = initializer_list<value_type>; // just a
> type alias
>
> requires Constructible<X, difference_type, value_type>();
> requires Constructible<X, initializer_list_type>();
> requires Assignable<X&, initializer_list_type>();
> // ...
> };
>
>
> *Why is this desirable given the above motivation?*
>
> - Exposition-only concepts that exist solely to improve readability
> are removed.
>
> *Motivation 2*
>
> Let's now consider an attempt to turn std::inner_product into a
> concept-checked inner_product:
>
> template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2
> > S2,
> CopyConstructible T,
> typename Proj1 = identity, typename Proj2 = identity,
> IndirectRegularInvocable<projected<I1, Proj1>, projected<I2, Proj2>>
> Op2 = multiplies<>,
> RegularInvocable<T,
> indirect_result_of_t<Op2&(projected<I1, Proj1>, projected<I2, Proj2
> >)>> Op1 = plus<>>
> requires
> Assignable<T&, const T&>() &&
> Assignable<T&, result_of_t<Op1&(T,
> indirect_result_of_t<Op2&(projected<I1, Proj1>, projected<I2, Proj2
> >)>)>>()
> T inner_product(I1 first1, S1 last1, I2 first2, S2 last2, T init, Op1 op1
> = Op1{},
> Op2 op2 = Op2{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
>
> Ugly. There's lots of repetition, and overall, it's quite difficult to
> reason if it's correct. Let's tidy that up a bit:
>
> template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2
> > S2,
> CopyConstructible T,
> typename Op1 = plus<>, typename Op2 = multiplies,
> typename Proj1 = identity, typename Proj2 = identity,
> typename Arg1 = projected<I1, Proj1>, typename Arg2 = projected<I2,
> Proj2>,
> typename InnerResult = indirect_result_of_t<Op2&(Arg1, Arg2)>,
> typename OuterResult = result_of_t<Op1&(T, InnerResult)>>
> requires
> Assignable<T&, const T&>() &&
> IndirectRegularInvocable<Op2, Arg1, Arg2>() &&
> RegularInvocable<Op1, T, InnerResult>() &&
> Assignable<T&, OuterResult>()
> T inner_product(I1 first1, S1 last1, I2 first2, S2 last2, T init, Op1 op1
> = Op1{},
> Op2 op2 = Op2{}, Proj1 proj1 = Proj1{}, Proj2 proj2 = Proj2{});
>
> That's much easier on the eyes, and our operations are properly ordered!
> Sadly, we've introduced an opportunity for Crafty Programmer who thinks
> that they know better than their compiler (and library specification) to
> manipulate the template specialisation to allow
> syntactically-compatible-but-semantically-incompatible types to pass the
> concept check. This is an unlikely scenario, but we can't rule it out from
> happening for all concept-checked functions.
>
> *Desired outcome*
>
> It'd be great if we could do this instead:
>
> template <InputIterator I1, Sentinel<I1> S1, InputIterator I2, Sentinel<I2
> > S2,
> CopyConstructible T, typename Op1 = plus<>, typename Op2 = multiplies
> <>,
> typename Proj1 = identity, typename Proj2 = identity>
> requires requires {
> requires Assignable<T&, const T&>();
>
> using Arg1 = projected<I1, Proj1>;
> using Arg2 = projected<I2, Proj2>;
> using Inner_result = indirect_result_of_t<Op2&(Arg1, Arg2)>;
> using Outer_result = result_of_t<Op1&(T, InnerResult)>;
>
> requires IndirectRegularInvocable<Op2, Arg1, Arg2>();
> requires RegularInvocable<Op1, T, InnerResult>();
> requires Assignable<T&, OuterResult>();
> }
> T inner_product(I1 first1, S1 last1, I2 first2, S2 last2, T init, Op1
>
>
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--001a114e523e0d39e6054f02ad17
Content-Type: text/html; charset=UTF-8
Content-Transfer-Encoding: quoted-printable
<div dir=3D"ltr">Thanks for your input Tom. I won't be able to make it =
to Toronto, but I'll do my very best for Albuquerque. Based off the gui=
delines on isocpp, I think I need to attend a meeting before making a core =
proposal anyway (or have a champion that has been).<div><div><br></div><div=
>>There was some discussion a while back about solving this issue for ba=
se class specifiers.=C2=A0 See the "<span id=3D"inbox-inbox-m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623t-t" class=3D"inbox-i=
nbox-m_7321260015833836276m_-5651616828397132737m_8613893391615802623IVILX2=
C-mb-Y">base class aliases" email thread [2].</span>=C2=A0</div><div>=
=C2=A0<br><div>I don't know committee procedures (yet), but would it be=
possible for us to kill two birds with one stone and get aliases for base =
class specifiers too?</div><div><br></div><div>>=C2=A0<span class=3D"inb=
ox-inbox-Apple-converted-space">=C2=A0</span>It might be worth thinking abo=
ut how a solution would fit into that proposed syntax.=C2=A0 For example, h=
ow would you solve for the following syntax?</div><div><br></div><div>As di=
scovered in [2], this isn't quite straightforward. Getting this into th=
e proposal would be handy, but is it essential for the proposal to move to =
a meeting?</div><div>The best solutions that I could think of were (listed =
in order of preference):</div><div><br></div><div>// attempt 1:</div><div>t=
emplate <typename T></div><div>concept Foo :=C2=A0</div><div>=C2=A0 =
=C2=A0Bar<T>,</div><div>=C2=A0 =C2=A0requires using value_type =3D va=
lue_type_t<T>, // a refinement may be either a concept, a type-alias,=
or a required type-alias</div><div>=C2=A0 =C2=A0Baz<value_type>,</di=
v><div>requires(T t) {</div><div>=C2=A0 =C2=A0using iterator =3D iterator_t=
<T>;</div><div>=C2=A0 =C2=A0{t.foo(value_type)} -> iterator;</div>=
<div>};</div><br class=3D"inbox-inbox-Apple-interchange-newline">// attempt=
2<div>template <typename T></div><div>concept Foo : {</div><div>=C2=
=A0 =C2=A0requires using value_type =3D value_type_t<T>;</div><div>},=
Bar<T>, Baz<value_type></div><div>requires(T t) {</div><div>=
=C2=A0 =C2=A0using iterator =3D iterator_t<T>;</div><div>=C2=A0 =C2=
=A0{t.foo(value_type)} -> iterator;</div><div>};</div><div><br class=3D"=
inbox-inbox-Apple-interchange-newline">// attempt 3=C2=A0=C2=A0<br></div><d=
iv>template <typename T></div><div>concept Foo : using{</div><div>=C2=
=A0 =C2=A0requires value_type =3D value_type_t<T>;</div><div>}, Bar&l=
t;T>, Baz<value_type></div><div>requires(T t) {</div><div>=C2=A0 =
=C2=A0using iterator =3D iterator_t<T>;</div><div>=C2=A0 =C2=A0{t.foo=
(value_type)} -> iterator;</div><div>};</div><div><br></div><div>I'm=
not really a fan of any of them (I think #2 and #3 are discouraged in [2])=
, but I think given the way refinements are proposed, #1 has the most appea=
l, as it can help refine the concept, as well as provide a useful alias.</d=
iv><div><br></div><div>I'm interested to hear your thoughts on this!</d=
iv><div><br></div><div>Kind regards,</div><div><br></div><div>Chris</div><d=
iv dir=3D"ltr"><br><div class=3D"gmail_quote"><div dir=3D"ltr">On Thu, 4 Ma=
y 2017 at 23:02 Tom Honermann <<a href=3D"mailto:tom@honermann.net" targ=
et=3D"_blank">tom@honermann.net</a>> wrote:<br></div><blockquote class=
=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padd=
ing-left:1ex">
=20
=20
=20
<div bgcolor=3D"#FFFFFF" text=3D"#000000">
<div class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623moz-cite-prefix">Hi Chris.=C2=A0 I would like to have some
way to specify a local alias as you've described here, so I
encourage you to submit a paper.<br>
<br>
I'm hopeful that we'll get some changes to the syntax for con=
cept
definitions as proposed in P0587 [1].=C2=A0 It might be worth thinkin=
g
about how a solution would fit into that proposed syntax.=C2=A0 For
example, how would you solve for the following syntax?<br>
<br>
concept Foo : Bar<T>, Baz<typename T::type> requires
(T t) { { t.foo() } -> typename T::type; };<br>
<br>
There was some discussion a while back about solving this issue
for base class specifiers.=C2=A0 See the "<span id=3D"m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623t-t" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623IVILX2C-mb-Y">base=
class aliases" email thread [2].</span><br>
<br>
Tom.<br>
<br>
[1]:
<a class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623moz-txt-link-freetext" href=3D"http://www.open-std.org/jtc1/sc22/wg2=
1/docs/papers/2017/p0587r0.pdf" target=3D"_blank">http://www.open-std.org/j=
tc1/sc22/wg21/docs/papers/2017/p0587r0.pdf</a><br>
[2]:
<a class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3moz-txt-link-freetext" href=3D"https://groups.google.com/a/isocpp.org/foru=
m/#!searchin/std-proposals/base$20class$20aliases/std-proposals/zNvQQTKvoLQ=
/-5qMiIqvOP4J" target=3D"_blank">https://groups.google.com/a/isocpp.org/for=
um/#!searchin/std-proposals/base$20class$20aliases/std-proposals/zNvQQTKvoL=
Q/-5qMiIqvOP4J</a></div></div><div bgcolor=3D"#FFFFFF" text=3D"#000000"><di=
v class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
moz-cite-prefix"><br>
<br>
On 05/02/2017 10:22 AM, Christopher Di Bella wrote:<br>
</div></div><div bgcolor=3D"#FFFFFF" text=3D"#000000">
<blockquote type=3D"cite">
<div dir=3D"ltr">Hi all,
<div><br>
</div>
<div>I posted a proposal a few weeks ago, regarding an extension
to the Concepts TS that allows type aliases inside requirement
bodies, but it didn't get the traction I was hoping it would.
The previous email didn't give any motivation outside of the
attached document, so I thought I'd touch base, and add a bit
of motivation in the email; in case you can't read the
document right now. Thanks to Sergey Zubkov for bringing that
to my attention.</div>
<div><br>
</div>
<div><b><font size=3D"4">Motivation 1</font></b></div>
<div><b><br>
</b></div>
<div>Concepts are fun to work with, and fun to design, but
anything with more than a few names is tedious to type up, and
tedious to read.</div>
<div>Consider this rather verbose attempt at drafting a concept
for a sequence container:</div>
<div><br>
</div>
<div class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623prettyprint" style=3D"background-color:rgb(250,250,250);border-c=
olor:rgb(187,187,187);border-style:solid;border-width:1px;word-wrap:break-w=
ord"><code class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623prettyprint">
<div class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623subprettyprint"><span style=3D"color:#800" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>// using value_type_t,
difference_type_t, and concepts from Ranges TS</span><span =
style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><br>
<br>
</span><span style=3D"color:#008" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">template<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"c=
olor:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623styled-by-prettify"><</span><span style=3D"color:#008" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify">typename</span><span style=3D"color:#000" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> X</s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">,</span><span style=3D"col=
or:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify"> </span><span style=3D"color:#008" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify">typename</span><span style=3D"color:#660" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">...</span>=
<span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713=
2737m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#=
606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802=
623styled-by-prettify">Args</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">></span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify"><br>
<br>
</span><span style=3D"color:#008" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">concept</=
span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"co=
lor:#008" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916=
15802623styled-by-prettify">bool</span><span style=3D"color:#000" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">SequenceConta=
ioner</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"> </span><span styl=
e=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">=3D</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Contain=
er</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"><</span><span styl=
e=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">X</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">></span><span style=3D"color:#000" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </spa=
n><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify">&&</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">
requires </span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">{</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
value_type_t</span><span style=3D"color:#660" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify">>;</span><span style=3D"color:#00=
0" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
difference_type_t</span><span style=3D"color:#660" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><=
span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">>;</span><span style=3D"colo=
r:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Constructible</span><span style=3D"color:#660" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" c=
lass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623sty=
led-by-prettify">
difference_type_t</span><span style=3D"color:#660" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><=
span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">>,</span><span style=3D"colo=
r:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify">
value_type_t</span><span style=3D"color:#660" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify">>>();</span><span style=3D"col=
or:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Construictible</span><span style=3D"color:#660" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span=
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m=
_8613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" =
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list</span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"><</span><span style=3D"color:#000" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">value_type=
_t</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"><</span><span styl=
e=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">X</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">>>>();</span><span style=3D"color:#000" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Assignable</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">X</span><span sty=
le=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify">&,</span><span style=3D"color:#000"=
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623s=
tyled-by-prettify">
initializer_list</span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"><</span><span style=3D"color:#000" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">value_type=
_t</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"><</span><span styl=
e=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">X</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">>>>();</span><span style=3D"color:#000" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#800" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">// ...</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
</span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">};</span>=
</div>
</code></div>
<div><br>
</div>
<div>Our current <font face=3D"courier new, monospace">SequenceCont=
ainer</font>
is quite jarring to read, so we might like to split it into <font=
face=3D"courier new, monospace">SequenceContainer</font> and <font face=3D=
"courier new, monospace">detail::SequenceConstructible</font>:</div>
<div><br>
</div>
<div class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623prettyprint" style=3D"background-color:rgb(250,250,250);border-c=
olor:rgb(187,187,187);border-style:solid;border-width:1px;word-wrap:break-w=
ord"><code class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623prettyprint">
<div class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623subprettyprint"><span style=3D"color:#008" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>namespace</span><span style=3D"color:#000" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify"> detail
</span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">{</span><=
span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">template</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify"><</span><span style=3D"color=
:#008" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158=
02623styled-by-prettify">typename</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"> X</span><span style=3D"color:#660" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify">,</span><sp=
an style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713273=
7m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#008=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">typename</span><span style=3D"color:#000" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"> T</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify">,</span><span st=
yle=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify"> </span><span style=3D"color:#008" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">typename</span><span style=3D"color:#000" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
D</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify">,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#008" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">typename</span><span style=3D"color:#660" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">..=
..</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D=
"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623styled-by-prettify">Args</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">></span><span style=3D"color:#000" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">concept</span><span style=3D"color:#000" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><s=
pan style=3D"color:#008" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify">bool</span><span style=3D"color:=
#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">SequenceConstructible</span><span style=3D"color:#000" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify">=3D</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#606" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">Constructible</span><span style=3D"color:#660" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify">X</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> D</span><span style=3D"color:#660" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,</spa=
n><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify"> T</span><span style=3D"colo=
r:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify">>()</span><span style=3D"color:#000" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"> </span><span style=3D"color:#660" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">&&</s=
pan><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color:#606" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">Constructible</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span s=
tyle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8=
613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify">
initializer_list</span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"><</span><span style=3D"color:#000" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">T</span><s=
pan style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify">>>()</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">&&</span><span style=3D"color:#000" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color:#606" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">Assignable</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify">X</span><span styl=
e=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">&,</span><span style=3D"color:#000" =
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list</span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"><</span><span style=3D"color:#000" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">T</span><s=
pan style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify">>>()</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"color:#800" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">// ...</span><span style=3D"color:#000" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br=
>
=C2=A0 =C2=A0</span><span style=3D"color:#660" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">;</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#800" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">// Other SequenceContainer
details here...</span><span style=3D"color:#000" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify"><br>
</span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">}</span><=
span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#8=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify">//
namespace detail</span><span style=3D"color:#000" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"><br>
<br>
</span><span style=3D"color:#008" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">template<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"c=
olor:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623styled-by-prettify"><</span><span style=3D"color:#008" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify">typename</span><span style=3D"color:#000" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> X</s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">,</span><span style=3D"col=
or:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify"> </span><span style=3D"color:#008" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify">typename</span><span style=3D"color:#660" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">...</span>=
<span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713=
2737m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#=
606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802=
623styled-by-prettify">Args</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">></span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify"><br>
</span><span style=3D"color:#008" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">concept</=
span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"co=
lor:#008" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916=
15802623styled-by-prettify">bool</span><span style=3D"color:#000" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">SequenceConta=
iner</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651=
616828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">=3D</span><span style=3D"color:#000" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify"> </span><span style=3D"color:#606" class=3D"m_732126001583383=
6276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Containe=
r</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify"><</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">X</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">></span><span style=3D"color:#000" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </spa=
n><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify">&&</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0detail</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">::</span><span style=3D"color:#606" class=3D"m_732126001583383=
6276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Sequence=
Constructible</span><span style=3D"color:#660" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify"><</span=
><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify">X</span><span style=3D"color:=
#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify">,</span><span style=3D"color:#000" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">
value_type_t</span><span style=3D"color:#660" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify">>,</span><span style=3D"color:#00=
0" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify">
difference_type_t</span><span style=3D"color:#660" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><=
span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">>,</span><span style=3D"colo=
r:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify"> </span><span style=3D"color:#606" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">Args</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify">...></span><=
span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#8=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify">//
&&</span><span style=3D"color:#000" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#800" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">// ...</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
</span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">;</span><=
/div>
</code></div>
<div><br>
</div>
<div>Now we can read the implementation of a <font face=3D"courier =
new, monospace">SequenceContainer</font>
without the added noise of <font face=3D"courier new,
monospace">value_type_t<X></font>, <font face=3D"courier =
new, monospace">difference_type_t<X></font>,
and <font face=3D"courier new, monospace">initializer_list<val=
ue_type_t<X>></font>
at every turn, but we've now created a second, exposition-onl=
y
concept with exactly one use-case: to facilitate the
readability of our usable concept that (hopefully!) has many
use-cases. Furthermore, we need to find a meaningful name for
our exposition-only concepts so that they are easy to
understand.</div>
<div><br>
</div>
<div><b>Desired outcome</b></div>
<div><b><br>
</b></div>
<div>It would be nice to have something that resembles:</div>
<div><br>
</div>
<div class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623prettyprint" style=3D"background-color:rgb(250,250,250);border-c=
olor:rgb(187,187,187);border-style:solid;border-width:1px;word-wrap:break-w=
ord"><code class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623prettyprint">
<div class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623subprettyprint"><span style=3D"color:#008" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>template</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><</span><span style=3D"color:#008=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">typename</span><span style=3D"color:#000" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"> X</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify">,</span><span st=
yle=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify"> </span><span style=3D"color:#008" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">typename</span><span style=3D"color:#660" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
....</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">Args</span><span style=3D"color:#660" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">></span><span style=3D"color:#000" class=3D"m_73212600158=
33836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
</span><span style=3D"color:#008" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">concept</=
span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"co=
lor:#008" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916=
15802623styled-by-prettify">bool</span><span style=3D"color:#000" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">SequenceConta=
iner</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651=
616828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">=3D</span><span style=3D"color:#000" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify"> </span><span style=3D"color:#606" class=3D"m_732126001583383=
6276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Containe=
r</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify"><</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">X</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">></span><span style=3D"color:#000" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </spa=
n><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify">&&</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">
requires </span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">{</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#008" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">using</span><span style=3D"color:#000" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
value_type </span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify"> value_type_t</s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify"><</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify">X</span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">>;</span><span style=3D"color:#000" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><s=
pan style=3D"color:#800" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify">// type
alias value_type</span><span style=3D"color:#800" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify">, typename requirement for
value_type_t<X></span><span style=3D"color:#000" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#008" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">using</span><span style=3D"color:#000" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
difference_type </span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify">=3D</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"> difference=
_type_t</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify"><</span><span=
style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m=
_8613893391615802623styled-by-prettify">X</span><span style=3D"color:#660" =
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>;</span><span style=3D"color:#000" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
<br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">using</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">
initializer_list_type </span><span style=3D"color:#660" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">=3D</span><span style=3D"color:#000" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> init=
ializer_list</span><span style=3D"color:#080" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"><value_t=
ype></span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify">;</span><span st=
yle=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify"> </span><span style=3D"color:#800" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">// just
a type alias</span><span style=3D"color:#000" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><br>
<br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Constructible</span><span style=3D"color:#660" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" c=
lass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623sty=
led-by-prettify">
difference_type</span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify"> value_type</s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">>();</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Constructible</span><span style=3D"color:#660" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">X</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" c=
lass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623sty=
led-by-prettify">
initializer_list_type</span><span style=3D"color:#660" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">>();</span><span style=3D"color:#000" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><b=
r>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Assignable</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">X</span><span sty=
le=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify">&,</span><span style=3D"color:#000"=
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623s=
tyled-by-prettify">
initializer_list_type</span><span style=3D"color:#660" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">>();</span><span style=3D"color:#000" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><b=
r>
=C2=A0 =C2=A0</span><span style=3D"color:#800" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">// ...</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
</span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">};</span>=
</div>
</code></div>
<div><font face=3D"courier new, monospace"><br>
</font></div>
<div><br>
</div>
<div><b>Why is this desirable given the above motivation?</b></div>
<div>
<ul>
<li>Exposition-only concepts that exist solely to improve
readability are removed.</li>
</ul>
<div><b><font size=3D"4">Motivation 2</font></b></div>
</div>
<div><br>
</div>
<div>Let's now consider an attempt to turn std::inner_product
into a concept-checked inner_product:</div>
<br>
<div class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623prettyprint" style=3D"background-color:rgb(250,250,250);border-c=
olor:rgb(187,187,187);border-style:solid;border-width:1px;word-wrap:break-w=
ord"><code class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623prettyprint">
<div class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623subprettyprint"><span style=3D"color:#008" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>template</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><</span><span style=3D"color:#606=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">InputIterator</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"> I1</span><span style=3D"color:#660" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">,</span><s=
pan style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#60=
6" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify">Sentinel</span><span style=3D"color:#660" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">I1</span><spa=
n style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">></span><span style=3D"color:#0=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify"> S1</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">InputIterator</span><span style=3D"color:=
#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify"> I2</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"> </span><span styl=
e=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">Sentinel</span><span style=3D"color:#660=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify"><</span><span style=3D"color:#000" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>I2</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">></span><span sty=
le=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify"> S2</span><span style=3D"color:#660" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify">,</span><span style=3D"color:#000" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">CopyConstructible</span><span style=3D"color:#000" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
T</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify">,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">Proj1</span><span style=3D"colo=
r:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify">
identity</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#008" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">typename</span><span style=3D"color:#000"=
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623s=
tyled-by-prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Pro=
j2</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">=3D</span><span style=3D"color:#000" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">
identity</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">IndirectRegularInvocable</span><span style=3D"color:#660" class=3D"m_=
7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pre=
ttify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">projected</s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify"><</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify">I1</span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><span=
style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m=
_8613893391615802623styled-by-prettify">Proj1</span><span style=3D"color:#6=
60" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify">>,</span><span style=3D"color:#000" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">
projected</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">I2</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Proj2</=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">>></span><span styl=
e=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify"> </span><span style=3D"color:#606" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">Op2</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span=
><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify">=3D</span><span style=3D"colo=
r:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify">
multiplies</span><span style=3D"color:#660" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y"><>,</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">RegularInvocable</span><span style=3D"color:#660" class=3D"m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">&=
lt;</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">T</span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">,</span><span style=3D"color:#000" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 indirect_result_of_t</span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><</span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Op2</span><span style=3D"color:#660" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">&=
(</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify">projected</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><</span><span style=3D"color:#000=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">I1</span><span style=3D"color:#660" class=3D"m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,=
</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168=
28397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"=
color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify">Proj1</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">>,</span><span style=3D"color:#000" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
projected</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">I2</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Proj2</=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">>)>></span><span=
style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m=
_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#606" =
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span style=3D"color:#000" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> <=
/span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify">=3D</span><span style=3D=
"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623styled-by-prettify"> plus</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"><>></span><span style=3D"color:#000" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><br>
requires<br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">Assignable</span><span style=3D"color:#660" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><</s=
pan><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">T</span><span style=3D"col=
or:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify">&,</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"> </span><span style=3D"color:#008" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">const</span>=
<span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713=
2737m_8613893391615802623styled-by-prettify"> T</span><span style=3D"color:=
#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify">&>()</span><span style=3D"color:#000" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"> </span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">&&=
;</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">Assignable</span><span style=3D"color:#660" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><</s=
pan><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">T</span><span style=3D"col=
or:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify">&,</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify">
result_of_t</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy"><</span><span style=3D"color:#606" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span><span=
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m=
_8613893391615802623styled-by-prettify">&(</span><span style=3D"color:#=
000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802=
623styled-by-prettify">T</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 indirect_result_of_t</span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><</span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Op2</span><span style=3D"color:#660" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">&=
(</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify">projected</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><</span><span style=3D"color:#000=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">I1</span><span style=3D"color:#660" class=3D"m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,=
</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168=
28397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"=
color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify">Proj1</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">>,</span><span style=3D"color:#000" class=3D"m_732126001583=
3836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
projected</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">I2</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Proj2</=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">>)>)>>()</spa=
n><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify"><br>
T inner_product</span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">(</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">I1 first1</spa=
n><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify">,</span><span style=3D"color=
:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158=
02623styled-by-prettify"> S1
last1</span><span style=3D"color:#660" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> I2 first2</span><span s=
tyle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8=
613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify"> S2
last2</span><span style=3D"color:#660" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> T init</span><span styl=
e=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">,</span><span style=3D"color:#000" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span=
><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify"> op1 </span><span style=3D"co=
lor:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916=
15802623styled-by-prettify">=3D</span><span style=3D"color:#000" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span><spa=
n style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">{},</span><span style=3D"color:#00=
0" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify"><br>
</span><font color=3D"#000000"><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">=C2=A0 =C2=A0</span></font><span style=3D"color:#606" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">Op2</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> op2 </=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">=3D</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify"> </span><span style=3D"color:#606" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">Op2</span><span style=3D"color:#660" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">{},</span><s=
pan style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#60=
6" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify">Proj1</span><span style=3D"color:#000" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y"> proj1 </span><span style=3D"color:#660" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">=3D</span><sp=
an style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713273=
7m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#606=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">Proj1</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">{},</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"> </span><span styl=
e=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">Proj2</span><span style=3D"color:#000" c=
lass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623sty=
led-by-prettify"> proj2 </span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651=
616828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">Proj2</span><span style=3D"color:#660" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify">{});</span></div>
</code></div>
<div><br>
</div>
<div>Ugly. There's lots of repetition, and overall, it's qu=
ite
difficult to reason if it's correct. Let's tidy that up a=
bit:</div>
<div><br>
</div>
<div class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623prettyprint" style=3D"background-color:rgb(250,250,250);border-c=
olor:rgb(187,187,187);border-style:solid;border-width:1px;word-wrap:break-w=
ord"><code class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623prettyprint">
<div class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623subprettyprint"><span style=3D"color:#008" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>template</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><</span><span style=3D"color:#606=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">InputIterator</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"> I1</span><span style=3D"color:#660" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">,</span><s=
pan style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#60=
6" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify">Sentinel</span><span style=3D"color:#660" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">I1</span><spa=
n style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">></span><span style=3D"color:#0=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify"> S1</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">InputIterator</span><span style=3D"color:=
#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify"> I2</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"> </span><span styl=
e=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">Sentinel</span><span style=3D"color:#660=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify"><</span><span style=3D"color:#000" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>I2</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">></span><span sty=
le=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify"> S2</span><span style=3D"color:#660" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify">,</span><span style=3D"color:#000" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">CopyConstructible</span><span style=3D"color:#000" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
T</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify">,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">Op1</span><span style=3D"color:=
#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"> plus</span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><>,</span><span style=3D"color=
:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158=
02623styled-by-prettify"> </span><span style=3D"color:#008" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><spa=
n style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">Op2</span><span style=3D"color:#00=
0" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">
multiplies</span><span style=3D"color:#660" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651=
616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">Proj1</span><span style=3D"colo=
r:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify">
identity</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#008" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">typename</span><span style=3D"color:#000"=
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623s=
tyled-by-prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Pro=
j2</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">=3D</span><span style=3D"color:#000" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">
identity</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">Arg1</span><span style=3D"color=
:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158=
02623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">
projected</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">I1</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Proj1</=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">>,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#008" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">typename</span><span style=3D"color:#000" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> <=
/span><span style=3D"color:#606" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify">Arg2</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">=3D</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
projected</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">I2</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Proj2</=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">>,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">InnerResult</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">=3D</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
indirect_result_of_t</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"><</span><span style=3D"color:#606" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op2</s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">&(</span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">Arg1</span><span style=3D"color:#660" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">,</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span=
><span style=3D"color:#606" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify">Arg2</span><span style=3D"col=
or:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify">)>,</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">OuterResult</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">=3D</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">
result_of_t</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy"><</span><span style=3D"color:#606" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span><span=
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m=
_8613893391615802623styled-by-prettify">&(</span><span style=3D"color:#=
000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802=
623styled-by-prettify">T</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">InnerResult</span><span style=3D"color:#6=
60" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify">)>></span><span style=3D"color:#000" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify"><br>
requires<br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">Assignable</span><span style=3D"color:#660" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><</s=
pan><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">T</span><span style=3D"col=
or:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify">&,</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"> </span><span style=3D"color:#008" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">const</span>=
<span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713=
2737m_8613893391615802623styled-by-prettify"> T</span><span style=3D"color:=
#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify">&>()</span><span style=3D"color:#000" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"> </span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">&&=
;</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616=
828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">IndirectRegularInvocable</span><span style=3D"color:#660" class=3D"m_=
7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pre=
ttify"><</span><span style=3D"color:#606" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op2</span><s=
pan style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify">,</span><span style=3D"color:#00=
0" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">A=
rg1</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#606" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">Arg2</span><span style=3D"color:#660" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">>()=
</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168=
28397132737m_8613893391615802623styled-by-prettify"> </span><span style=3D"=
color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify">&&</span><span style=3D"color:#000" c=
lass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623sty=
led-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">RegularInvocable</span><span style=3D"color:#660" class=3D"m_73212600=
15833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">&=
lt;</span><span style=3D"color:#606" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">Op1</span><span styl=
e=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">,</span><span style=3D"color:#000" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"> T</span><span style=3D"color:#660" class=3D"m_732126001583383=
6276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,</span>=
<span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713=
2737m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#=
606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802=
623styled-by-prettify">InnerResult</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">>()</span><span style=3D"color:#000" class=3D"m_73212600158=
33836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">&&</span><span sty=
le=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">Assignable</span><span style=3D"color:#660" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><</s=
pan><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">T</span><span style=3D"col=
or:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify">&,</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">OuterResult<=
/span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify">>()</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
T inner_product</span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">(</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">I1 first1</spa=
n><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify">,</span><span style=3D"color=
:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158=
02623styled-by-prettify"> S1
last1</span><span style=3D"color:#660" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> I2 first2</span><span s=
tyle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8=
613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify"> S2
last2</span><span style=3D"color:#660" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> T init</span><span styl=
e=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">,</span><span style=3D"color:#000" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span=
><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify"> op1 </span><span style=3D"co=
lor:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916=
15802623styled-by-prettify">=3D</span><span style=3D"color:#000" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span><spa=
n style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">{},</span><span style=3D"color:#00=
0" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify"><br>
</span><font color=3D"#000000"><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">=C2=A0 =C2=A0</span></font><span style=3D"color:#606" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">Op2</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> op2 </=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">=3D</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify"> </span><span style=3D"color:#606" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">Op2</span><span style=3D"color:#660" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">{},</span><s=
pan style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#60=
6" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify">Proj1</span><span style=3D"color:#000" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y"> proj1 </span><span style=3D"color:#660" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">=3D</span><sp=
an style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713273=
7m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#606=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">Proj1</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">{},</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"> </span><span styl=
e=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">Proj2</span><span style=3D"color:#000" c=
lass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623sty=
led-by-prettify"> proj2 </span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651=
616828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">Proj2</span><span style=3D"color:#660" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify">{});</span><span style=3D"color:#000" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br=
>
</span></div>
</code></div>
<div><br>
</div>
<div>That's much easier on the eyes, and our operations are
properly ordered! Sadly, we've introduced an opportunity for
Crafty Programmer who thinks that they know better than their
compiler (and library specification) to manipulate the
template specialisation to allow
syntactically-compatible-but-semantically-incompatible types
to pass the concept check. This is an unlikely scenario, but
we can't rule it out from happening for all concept-checked
functions.</div>
<div><br>
</div>
<div><b>Desired outcome</b></div>
<div><br>
</div>
<div>It'd be great if we could do this instead:</div>
<div><br>
</div>
<div class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623prettyprint" style=3D"background-color:rgb(250,250,250);border-c=
olor:rgb(187,187,187);border-style:solid;border-width:1px;word-wrap:break-w=
ord"><code class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391=
615802623prettyprint">
<div class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623subprettyprint"><span style=3D"color:#008" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>template</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><span =
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623styled-by-prettify"><</span><span style=3D"color:#606=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">InputIterator</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"> I1</span><span style=3D"color:#660" class=3D"m_73212600158338362=
76m_-5651616828397132737m_8613893391615802623styled-by-prettify">,</span><s=
pan style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971327=
37m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#60=
6" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580262=
3styled-by-prettify">Sentinel</span><span style=3D"color:#660" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m=
_-5651616828397132737m_8613893391615802623styled-by-prettify">I1</span><spa=
n style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">></span><span style=3D"color:#0=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify"> S1</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">InputIterator</span><span style=3D"color:=
#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161580=
2623styled-by-prettify"> I2</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"> </span><span styl=
e=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">Sentinel</span><span style=3D"color:#660=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify"><</span><span style=3D"color:#000" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>I2</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">></span><span sty=
le=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify"> S2</span><span style=3D"color:#660" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify">,</span><span style=3D"color:#000" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#606" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">CopyConstructible</span><span style=3D"color:#000" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
T</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify">,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#008" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">typename</span><span style=3D"color:#000" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> <=
/span><span style=3D"color:#606" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify">Op1</span><span style=3D=
"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify">=3D</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"> plus</span=
><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify"><>,</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"> </span><span style=3D"color:#008" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">typename</span><span style=3D"color:#000" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> <=
/span><span style=3D"color:#606" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify">Op2</span><span style=3D=
"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933=
91615802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"=
m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-p=
rettify">=3D</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify">
multiplies</span><span style=3D"color:#660" class=3D"m_7321=
260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettif=
y"><>,</span><span style=3D"color:#000" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">typename</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><=
span style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">Proj1</span><span style=3D"colo=
r:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615=
802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-5=
651616828397132737m_8613893391615802623styled-by-prettify">
identity</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#008" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">typename</span><span style=3D"color:#000"=
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623s=
tyled-by-prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Pro=
j2</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">=3D</span><span style=3D"color:#000" clas=
s=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled=
-by-prettify">
identity</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>></span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565=
1616828397132737m_8613893391615802623styled-by-prettify"><br>
requires requires </span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify">{</span><span style=3D"color:#000" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Assignable</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">T</span><span sty=
le=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify">&,</span><span style=3D"color:#000"=
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623s=
tyled-by-prettify"> </span><span style=3D"color:#008" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">con=
st</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> T</span><span style=
=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">&>();</span><span style=3D"color:#=
000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802=
623styled-by-prettify"><br>
<br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">using</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><spa=
n style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">Arg1</span><span style=3D"color:#0=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">
projected</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">I1</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Proj1</=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">>;</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">using</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><spa=
n style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">Arg2</span><span style=3D"color:#0=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m_7321260=
015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">=
=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516=
16828397132737m_8613893391615802623styled-by-prettify">
projected</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">I2</span><span st=
yle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_86=
13893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify"> </span><span style=3D"color:#606" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Proj2</=
span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828=
397132737m_8613893391615802623styled-by-prettify">>;</span><span style=
=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">using</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><spa=
n style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">Inner_result</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">
indirect_result_of_t</span><span style=3D"color:#660" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"><</span><span style=3D"color:#606" class=3D"m_7321260015833=
836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op2</s=
pan><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168283=
97132737m_8613893391615802623styled-by-prettify">&(</span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">Arg1</span><span style=3D"color:#660" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">,</span><span style=3D"color:#000" class=3D"m_73212600158338=
36276m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span=
><span style=3D"color:#606" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify">Arg2</span><span style=3D"col=
or:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623styled-by-prettify">)>;</span><span style=3D"color:#000" class=3D=
"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-=
prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#008" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify">using</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify"> </span><spa=
n style=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737=
m_8613893391615802623styled-by-prettify">Outer_result</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify"> </span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">=3D</span><span style=3D"color:#000" class=3D"m_7321260015833836276=
m_-5651616828397132737m_8613893391615802623styled-by-prettify">
result_of_t</span><span style=3D"color:#660" class=3D"m_732=
1260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pretti=
fy"><</span><span style=3D"color:#606" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span><span=
style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m=
_8613893391615802623styled-by-prettify">&(</span><span style=3D"color:#=
000" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802=
623styled-by-prettify">T</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">InnerResult</span><span style=3D"color:#6=
60" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify">)>;</span><span style=3D"color:#000" class=3D"m_73=
21260015833836276m_-5651616828397132737m_8613893391615802623styled-by-prett=
ify"><br>
<br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">IndirectRegularInvocable</span><span style=3D"color:#660" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify"><</span><span style=3D"color:#606" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op2=
</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-56516168=
28397132737m_8613893391615802623styled-by-prettify">,</span><span style=3D"=
color:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623styled-by-prettify"> </span><span style=3D"color:#606" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">Arg1</span><span style=3D"color:#660" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify">,</span><sp=
an style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682839713273=
7m_8613893391615802623styled-by-prettify"> </span><span style=3D"color:#606=
" class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623=
styled-by-prettify">Arg2</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>>();</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">RegularInvocable</span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify"><</span><span style=3D"color:#606" class=3D"m_732126001583383627=
6m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span><=
span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify">,</span><span style=3D"color:#0=
00" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify"> T</span><span style=3D"color:#660" class=3D"m_732126=
0015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify"=
>,</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161=
6828397132737m_8613893391615802623styled-by-prettify"> </span><span style=
=3D"color:#606" class=3D"m_7321260015833836276m_-5651616828397132737m_86138=
93391615802623styled-by-prettify">InnerResult</span><span style=3D"color:#6=
60" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158026=
23styled-by-prettify">>();</span><span style=3D"color:#000" class=3D"m_7=
321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pret=
tify"><br>
=C2=A0 =C2=A0requires </span><span style=3D"color:#606" cla=
ss=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623style=
d-by-prettify">Assignable</span><span style=3D"color:#660" class=3D"m_73212=
60015833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify=
"><</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56=
51616828397132737m_8613893391615802623styled-by-prettify">T</span><span sty=
le=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_861=
3893391615802623styled-by-prettify">&,</span><span style=3D"color:#000"=
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623s=
tyled-by-prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015=
833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Out=
erResult</span><span style=3D"color:#660" class=3D"m_7321260015833836276m_-=
5651616828397132737m_8613893391615802623styled-by-prettify">>();</span><=
span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify"><br>
</span><span style=3D"color:#660" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">}</span><=
span style=3D"color:#000" class=3D"m_7321260015833836276m_-5651616828397132=
737m_8613893391615802623styled-by-prettify"><br>
T inner_product</span><span style=3D"color:#660" class=3D"m=
_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-by-pr=
ettify">(</span><span style=3D"color:#000" class=3D"m_7321260015833836276m_=
-5651616828397132737m_8613893391615802623styled-by-prettify">I1 first1</spa=
n><span style=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397=
132737m_8613893391615802623styled-by-prettify">,</span><span style=3D"color=
:#000" class=3D"m_7321260015833836276m_-5651616828397132737m_86138933916158=
02623styled-by-prettify"> S1
last1</span><span style=3D"color:#660" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> I2 first2</span><span s=
tyle=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8=
613893391615802623styled-by-prettify">,</span><span style=3D"color:#000" cl=
ass=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styl=
ed-by-prettify"> S2
last2</span><span style=3D"color:#660" class=3D"m_732126001=
5833836276m_-5651616828397132737m_8613893391615802623styled-by-prettify">,<=
/span><span style=3D"color:#000" class=3D"m_7321260015833836276m_-565161682=
8397132737m_8613893391615802623styled-by-prettify"> T init</span><span styl=
e=3D"color:#660" class=3D"m_7321260015833836276m_-5651616828397132737m_8613=
893391615802623styled-by-prettify">,</span><span style=3D"color:#000" class=
=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623styled-=
by-prettify"> </span><span style=3D"color:#606" class=3D"m_7321260015833836=
276m_-5651616828397132737m_8613893391615802623styled-by-prettify">Op1</span=
><span style=3D"color:#000" class=3D"m_7321260015833836276m_-56516168283971=
32737m_8613893391615802623styled-by-prettify"></span></div></code></div></d=
iv></blockquote></div></blockquote></div></div></div></div></div>
<p></p>
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--001a114e523e0d39e6054f02ad17--
.
Author: Tom Honermann <tom@honermann.net>
Date: Thu, 11 May 2017 10:31:41 -0400
Raw View
This is a multi-part message in MIME format.
--------------830F516AC96E5CBD01DB1997
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On 05/08/2017 08:49 AM, Christopher Di Bella wrote:
> Thanks for your input Tom. I won't be able to make it to Toronto, but
> I'll do my very best for Albuquerque. Based off the guidelines on
> isocpp, I think I need to attend a meeting before making a core
> proposal anyway (or have a champion that has been).
Submitting a proposal does not require attendance; see [1]. Presentation
of the proposal for consideration in a future standard does require that
someone present and champion the proposal at a meeting. If you can't
make it to a meeting yourself, I would be happy to present on your
behalf (but I encourage you to try and attend; it's a good experience
and authors tend to be more passioned in their presentations than locums).
[1]: https://isocpp.org/std/submit-a-proposal
>
> >There was some discussion a while back about solving this issue for
> base class specifiers. See the "base class aliases" email thread [2].
>
> I don't know committee procedures (yet), but would it be possible for
> us to kill two birds with one stone and get aliases for base class
> specifiers too?
Yes; there is no prohibition against including multiple features in a
single proposal. In this case, since the feature you originally
proposed is only applicable to the Concepts TS (for now), but the base
class aliases is applicable to the current standard, things can get a
little awkward. It might be best to submit a proposal addressing
template/class headers in general and then defer to that as applicable
in a separate proposal specific to enhancements for Concepts. It
doesn't much matter initially though; proposals can always be split if
necessary. The paper you originally posted is perfectly acceptable for
submission other than it needs a document header like that described in [2].
[2]:
https://isocpp.org/std/standing-documents/sd-7-mailing-procedures-and-how-to-write-papers
>
> > It might be worth thinking about how a solution would fit into that
> proposed syntax. For example, how would you solve for the following
> syntax?
>
> As discovered in [2], this isn't quite straightforward. Getting this
> into the proposal would be handy, but is it essential for the proposal
> to move to a meeting?
No, not essential at all, especially since no changes proposed by that
paper have been accepted (yet).
> The best solutions that I could think of were (listed in order of
> preference):
>
> // attempt 1:
> template <typename T>
> concept Foo :
> Bar<T>,
> requires using value_type = value_type_t<T>, // a refinement may be
> either a concept, a type-alias, or a required type-alias
> Baz<value_type>,
> requires(T t) {
> using iterator = iterator_t<T>;
> {t.foo(value_type)} -> iterator;
> };
>
> // attempt 2
> template <typename T>
> concept Foo : {
> requires using value_type = value_type_t<T>;
> }, Bar<T>, Baz<value_type>
> requires(T t) {
> using iterator = iterator_t<T>;
> {t.foo(value_type)} -> iterator;
> };
>
> // attempt 3
> template <typename T>
> concept Foo : using{
> requires value_type = value_type_t<T>;
> }, Bar<T>, Baz<value_type>
> requires(T t) {
> using iterator = iterator_t<T>;
> {t.foo(value_type)} -> iterator;
> };
>
> I'm not really a fan of any of them (I think #2 and #3 are discouraged
> in [2]), but I think given the way refinements are proposed, #1 has
> the most appeal, as it can help refine the concept, as well as provide
> a useful alias.
I'm not really a fan of any of these either :)
Here is another syntax to consider: allow using declarations in the
template parameter list. These aliases would be similar to the existing
workaround of just declaring a template parameter with a default
argument except that it would not be permitted to specify an explicit
template argument. All such using declarations would be restricted to
the tail of the parameter list. SFINAE would apply as usual.
// attempt 4:
template<typename T, using value_type = value_type_t<T>>
concept Foo ...;
Note that gcc currently ICEs when checking concept satisfaction when a
default argument is used: [3]. It isn't clear to me how SFINAE affects
(or should affect) use of a concept in a constrained-type-specifier.
[3]: https://gcc.gnu.org/bugzilla/show_bug.cgi?id=67147
Tom.
>
> I'm interested to hear your thoughts on this!
>
> Kind regards,
>
> Chris
>
> On Thu, 4 May 2017 at 23:02 Tom Honermann <tom@honermann.net
> <mailto:tom@honermann.net>> wrote:
>
> Hi Chris. I would like to have some way to specify a local alias
> as you've described here, so I encourage you to submit a paper.
>
> I'm hopeful that we'll get some changes to the syntax for concept
> definitions as proposed in P0587 [1]. It might be worth thinking
> about how a solution would fit into that proposed syntax. For
> example, how would you solve for the following syntax?
>
> concept Foo : Bar<T>, Baz<typename T::type> requires (T t) { {
> t.foo() } -> typename T::type; };
>
> There was some discussion a while back about solving this issue
> for base class specifiers. See the "base class aliases" email
> thread [2].
>
> Tom.
>
> [1]:
> http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2017/p0587r0.pdf
> [2]:
> https://groups.google.com/a/isocpp.org/forum/#!searchin/std-proposals/base$20class$20aliases/std-proposals/zNvQQTKvoLQ/-5qMiIqvOP4J
> <https://groups.google.com/a/isocpp.org/forum/#%21searchin/std-proposals/base$20class$20aliases/std-proposals/zNvQQTKvoLQ/-5qMiIqvOP4J>
>
>
> On 05/02/2017 10:22 AM, Christopher Di Bella wrote:
>> Hi all,
>>
>> I posted a proposal a few weeks ago, regarding an extension to
>> the Concepts TS that allows type aliases inside requirement
>> bodies, but it didn't get the traction I was hoping it would. The
>> previous email didn't give any motivation outside of the attached
>> document, so I thought I'd touch base, and add a bit of
>> motivation in the email; in case you can't read the document
>> right now. Thanks to Sergey Zubkov for bringing that to my attention.
>>
>> *Motivation 1*
>> *
>> *
>> Concepts are fun to work with, and fun to design, but anything
>> with more than a few names is tedious to type up, and tedious to
>> read.
>> Consider this rather verbose attempt at drafting a concept for a
>> sequence container:
>>
>> |
>> // using value_type_t, difference_type_t, and concepts from Ranges TS
>>
>> template<typenameX,typename...Args>
>>
>> conceptboolSequenceContaioner=Container<X>&&requires {
>> typenamevalue_type_t<X>;
>> typenamedifference_type_t<X>;
>> requires Constructible<X,difference_type_t<X>,value_type_t<X>>();
>> requires Construictible<X,initializer_list<value_type_t<X>>>();
>> requires Assignable<X&,initializer_list<value_type_t<X>>>();
>> // ...
>> };
>> |
>>
>> Our current SequenceContainer is quite jarring to read, so we
>> might like to split it into SequenceContainer and
>> detail::SequenceConstructible:
>>
>> |
>> namespacedetail {
>> template<typenameX,typenameT,typenameD,typename...Args>
>> conceptboolSequenceConstructible=Constructible<X,D,T>()&&
>> Constructible<X,initializer_list<T>>()&&
>> Assignable<X&,initializer_list<T>>()
>> // ...
>> ;
>> // Other SequenceContainer details here...
>> }// namespace detail
>>
>> template<typenameX,typename...Args>
>> conceptboolSequenceContainer=Container<X>&&
>>
>> detail::SequenceConstructible<X,value_type_t<X>,difference_type_t<X>,Args...>//
>> &&
>> // ...
>> ;
>> |
>>
>> Now we can read the implementation of a SequenceContainer without
>> the added noise of value_type_t<X>, difference_type_t<X>, and
>> initializer_list<value_type_t<X>> at every turn, but we've now
>> created a second, exposition-only concept with exactly one
>> use-case: to facilitate the readability of our usable concept
>> that (hopefully!) has many use-cases. Furthermore, we need to
>> find a meaningful name for our exposition-only concepts so that
>> they are easy to understand.
>>
>> *Desired outcome*
>> *
>> *
>> It would be nice to have something that resembles:
>>
>> |
>> template<typenameX,typename...Args>
>> conceptboolSequenceContainer=Container<X>&&requires {
>> requires usingvalue_type =value_type_t<X>;// type alias
>> value_type, typename requirement for value_type_t<X>
>> requires usingdifference_type =difference_type_t<X>;
>> usinginitializer_list_type =initializer_list<value_type>;// just
>> a type alias
>>
>> requires Constructible<X,difference_type,value_type>();
>> requires Constructible<X,initializer_list_type>();
>> requires Assignable<X&,initializer_list_type>();
>> // ...
>> };
>> |
>>
>>
>> *Why is this desirable given the above motivation?*
>>
>> * Exposition-only concepts that exist solely to improve
>> readability are removed.
>>
>> *Motivation 2*
>>
>> Let's now consider an attempt to turn std::inner_product into a
>> concept-checked inner_product:
>>
>> |
>> template<InputIteratorI1,Sentinel<I1>S1,InputIteratorI2,Sentinel<I2>S2,
>> CopyConstructibleT,
>> typenameProj1=identity,typenameProj2=identity,
>> IndirectRegularInvocable<projected<I1,Proj1>,projected<I2,Proj2>>Op2=multiplies<>,
>> RegularInvocable<T,
>>
>> indirect_result_of_t<Op2&(projected<I1,Proj1>,projected<I2,Proj2>)>>Op1=plus<>>
>> requires
>> Assignable<T&,constT&>()&&
>> Assignable<T&,result_of_t<Op1&(T,
>>
>> indirect_result_of_t<Op2&(projected<I1,Proj1>,projected<I2,Proj2>)>)>>()
>> T inner_product(I1 first1,S1 last1,I2 first2,S2 last2,T
>> init,Op1op1 =Op1{},
>> Op2op2 =Op2{},Proj1proj1 =Proj1{},Proj2proj2 =Proj2{});
>> |
>>
>> Ugly. There's lots of repetition, and overall, it's quite
>> difficult to reason if it's correct. Let's tidy that up a bit:
>>
>> |
>> template<InputIteratorI1,Sentinel<I1>S1,InputIteratorI2,Sentinel<I2>S2,
>> CopyConstructibleT,
>> typenameOp1=plus<>,typenameOp2=multiplies,
>> typenameProj1=identity,typenameProj2=identity,
>> typenameArg1=projected<I1,Proj1>,typenameArg2=projected<I2,Proj2>,
>> typenameInnerResult=indirect_result_of_t<Op2&(Arg1,Arg2)>,
>> typenameOuterResult=result_of_t<Op1&(T,InnerResult)>>
>> requires
>> Assignable<T&,constT&>()&&
>> IndirectRegularInvocable<Op2,Arg1,Arg2>()&&
>> RegularInvocable<Op1,T,InnerResult>()&&
>> Assignable<T&,OuterResult>()
>> T inner_product(I1 first1,S1 last1,I2 first2,S2 last2,T
>> init,Op1op1 =Op1{},
>> Op2op2 =Op2{},Proj1proj1 =Proj1{},Proj2proj2 =Proj2{});
>> |
>>
>> That's much easier on the eyes, and our operations are properly
>> ordered! Sadly, we've introduced an opportunity for Crafty
>> Programmer who thinks that they know better than their compiler
>> (and library specification) to manipulate the template
>> specialisation to allow
>> syntactically-compatible-but-semantically-incompatible types to
>> pass the concept check. This is an unlikely scenario, but we
>> can't rule it out from happening for all concept-checked functions.
>>
>> *Desired outcome*
>>
>> It'd be great if we could do this instead:
>>
>> |
>> template<InputIteratorI1,Sentinel<I1>S1,InputIteratorI2,Sentinel<I2>S2,
>> CopyConstructibleT,typenameOp1=plus<>,typenameOp2=multiplies<>,
>> typenameProj1=identity,typenameProj2=identity>
>> requires requires {
>> requires Assignable<T&,constT&>();
>>
>> usingArg1=projected<I1,Proj1>;
>> usingArg2=projected<I2,Proj2>;
>> usingInner_result=indirect_result_of_t<Op2&(Arg1,Arg2)>;
>> usingOuter_result=result_of_t<Op1&(T,InnerResult)>;
>>
>> requires IndirectRegularInvocable<Op2,Arg1,Arg2>();
>> requires RegularInvocable<Op1,T,InnerResult>();
>> requires Assignable<T&,OuterResult>();
>> }
>> T inner_product(I1 first1,S1 last1,I2 first2,S2 last2,T init,Op1
>> |
>
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--------------830F516AC96E5CBD01DB1997
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable
<html>
<head>
<meta content=3D"text/html; charset=3Dutf-8" http-equiv=3D"Content-Type=
">
</head>
<body bgcolor=3D"#FFFFFF" text=3D"#000000">
<div class=3D"moz-cite-prefix">On 05/08/2017 08:49 AM, Christopher Di
Bella wrote:<br>
</div>
<blockquote
cite=3D"mid:CACL3gUXyZXThNe2ty7BHo_zx_Ci3LEs6a=3DPdaMeZ7-K-LtsaEw@mail.gmai=
l.com"
type=3D"cite">
<div dir=3D"ltr">Thanks for your input Tom. I won't be able to make
it to Toronto, but I'll do my very best for Albuquerque. Based
off the guidelines on isocpp, I think I need to attend a meeting
before making a core proposal anyway (or have a champion that
has been).</div>
</blockquote>
<br>
Submitting a proposal does not require attendance; see [1].=C2=A0
Presentation of the proposal for consideration in a future standard
does require that someone present and champion the proposal at a
meeting.=C2=A0 If you can't make it to a meeting yourself, I would be
happy to present on your behalf (but I encourage you to try and
attend; it's a good experience and authors tend to be more passioned
in their presentations than locums).<br>
<br>
[1]: <a class=3D"moz-txt-link-freetext" href=3D"https://isocpp.org/std/=
submit-a-proposal">https://isocpp.org/std/submit-a-proposal</a><br>
<br>
<blockquote
cite=3D"mid:CACL3gUXyZXThNe2ty7BHo_zx_Ci3LEs6a=3DPdaMeZ7-K-LtsaEw@mail.gmai=
l.com"
type=3D"cite">
<div dir=3D"ltr">
<div>
<div><br>
</div>
<div>>There was some discussion a while back about solving
this issue for base class specifiers.=C2=A0 See the "<span
id=3D"inbox-inbox-m_7321260015833836276m_-5651616828397132737m_861389339161=
5802623t-t"
class=3D"inbox-inbox-m_7321260015833836276m_-5651616828397132737m_861389339=
1615802623IVILX2C-mb-Y">base
class aliases" email thread [2].</span>=C2=A0</div>
<div>=C2=A0<br>
<div>I don't know committee procedures (yet), but would it
be possible for us to kill two birds with one stone and
get aliases for base class specifiers too?</div>
</div>
</div>
</div>
</blockquote>
<br>
Yes; there is no prohibition against including multiple features in
a single proposal.=C2=A0 In this case, since the feature you originally
proposed is only applicable to the Concepts TS (for now), but the
base class aliases is applicable to the current standard, things can
get a little awkward.=C2=A0 It might be best to submit a proposal
addressing template/class headers in general and then defer to that
as applicable in a separate proposal specific to enhancements for
Concepts.=C2=A0 It doesn't much matter initially though; proposals can
always be split if necessary.=C2=A0 The paper you originally posted is
perfectly acceptable for submission other than it needs a document
header like that described in [2].<br>
<br>
[2]:
<a class=3D"moz-txt-link-freetext" href=3D"https://isocpp.org/std/standing-=
documents/sd-7-mailing-procedures-and-how-to-write-papers">https://isocpp.o=
rg/std/standing-documents/sd-7-mailing-procedures-and-how-to-write-papers</=
a><br>
<br>
<blockquote
cite=3D"mid:CACL3gUXyZXThNe2ty7BHo_zx_Ci3LEs6a=3DPdaMeZ7-K-LtsaEw@mail.gmai=
l.com"
type=3D"cite">
<div dir=3D"ltr">
<div>
<div>
<div><br>
</div>
<div>>=C2=A0<span class=3D"inbox-inbox-Apple-converted-space=
">=C2=A0</span>It
might be worth thinking about how a solution would fit
into that proposed syntax.=C2=A0 For example, how would you
solve for the following syntax?</div>
<div><br>
</div>
<div>As discovered in [2], this isn't quite straightforward.
Getting this into the proposal would be handy, but is it
essential for the proposal to move to a meeting?</div>
</div>
</div>
</div>
</blockquote>
<br>
No, not essential at all, especially since no changes proposed by
that paper have been accepted (yet).<br>
<br>
<blockquote
cite=3D"mid:CACL3gUXyZXThNe2ty7BHo_zx_Ci3LEs6a=3DPdaMeZ7-K-LtsaEw@mail.gmai=
l.com"
type=3D"cite">
<div dir=3D"ltr">
<div>
<div>
<div>The best solutions that I could think of were (listed
in order of preference):</div>
<div><br>
</div>
<div>// attempt 1:</div>
<div>template <typename T></div>
<div>concept Foo :=C2=A0</div>
<div>=C2=A0 =C2=A0Bar<T>,</div>
<div>=C2=A0 =C2=A0requires using value_type =3D value_type_t<=
;T>,
// a refinement may be either a concept, a type-alias, or
a required type-alias</div>
<div>=C2=A0 =C2=A0Baz<value_type>,</div>
<div>requires(T t) {</div>
<div>=C2=A0 =C2=A0using iterator =3D iterator_t<T>;</div>
<div>=C2=A0 =C2=A0{t.foo(value_type)} -> iterator;</div>
<div>};</div>
<br class=3D"inbox-inbox-Apple-interchange-newline">
// attempt 2
<div>template <typename T></div>
<div>concept Foo : {</div>
<div>=C2=A0 =C2=A0requires using value_type =3D value_type_t<=
;T>;</div>
<div>}, Bar<T>, Baz<value_type></div>
<div>requires(T t) {</div>
<div>=C2=A0 =C2=A0using iterator =3D iterator_t<T>;</div>
<div>=C2=A0 =C2=A0{t.foo(value_type)} -> iterator;</div>
<div>};</div>
<div><br class=3D"inbox-inbox-Apple-interchange-newline">
// attempt 3=C2=A0=C2=A0<br>
</div>
<div>template <typename T></div>
<div>concept Foo : using{</div>
<div>=C2=A0 =C2=A0requires value_type =3D value_type_t<T>=
;</div>
<div>}, Bar<T>, Baz<value_type></div>
<div>requires(T t) {</div>
<div>=C2=A0 =C2=A0using iterator =3D iterator_t<T>;</div>
<div>=C2=A0 =C2=A0{t.foo(value_type)} -> iterator;</div>
<div>};</div>
<div><br>
</div>
<div>I'm not really a fan of any of them (I think #2 and #3
are discouraged in [2]), but I think given the way
refinements are proposed, #1 has the most appeal, as it
can help refine the concept, as well as provide a useful
alias.</div>
</div>
</div>
</div>
</blockquote>
I'm not really a fan of any of these either :)<br>
<br>
Here is another syntax to consider: allow using declarations in the
template parameter list.=C2=A0 These aliases would be similar to the
existing workaround of just declaring a template parameter with a
default argument except that it would not be permitted to specify an
explicit template argument.=C2=A0 All such using declarations would be
restricted to the tail of the parameter list. SFINAE would apply as
usual.<br>
<br>
// attempt 4: <br>
template<typename T, using value_type =3D value_type_t<T>><=
br>
concept Foo ...;<br>
<br>
Note that gcc currently ICEs when checking concept satisfaction when
a default argument is used: [3].=C2=A0 It isn't clear to me how SFINAE
affects (or should affect) use of a concept in a
constrained-type-specifier.<br>
<br>
[3]: <a class=3D"moz-txt-link-freetext" href=3D"https://gcc.gnu.org/bug=
zilla/show_bug.cgi?id=3D67147">https://gcc.gnu.org/bugzilla/show_bug.cgi?id=
=3D67147</a><br>
<br>
Tom.<br>
<br>
<blockquote
cite=3D"mid:CACL3gUXyZXThNe2ty7BHo_zx_Ci3LEs6a=3DPdaMeZ7-K-LtsaEw@mail.gmai=
l.com"
type=3D"cite">
<div dir=3D"ltr">
<div>
<div>
<div><br>
</div>
<div>I'm interested to hear your thoughts on this!</div>
<div><br>
</div>
<div>Kind regards,</div>
<div><br>
</div>
<div>Chris</div>
<div dir=3D"ltr"><br>
<div class=3D"gmail_quote">
<div dir=3D"ltr">On Thu, 4 May 2017 at 23:02 Tom Honermann
<<a moz-do-not-send=3D"true"
href=3D"mailto:tom@honermann.net" target=3D"_blank">tom=
@honermann.net</a>>
wrote:<br>
</div>
<blockquote class=3D"gmail_quote" style=3D"margin:0 0 0
.8ex;border-left:1px #ccc solid;padding-left:1ex">
<div bgcolor=3D"#FFFFFF" text=3D"#000000">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623mo=
z-cite-prefix">Hi
Chris.=C2=A0 I would like to have some way to specify=
a
local alias as you've described here, so I
encourage you to submit a paper.<br>
<br>
I'm hopeful that we'll get some changes to the
syntax for concept definitions as proposed in
P0587 [1].=C2=A0 It might be worth thinking about how=
a
solution would fit into that proposed syntax.=C2=A0 F=
or
example, how would you solve for the following
syntax?<br>
<br>
concept Foo : Bar<T>, Baz<typename
T::type> requires (T t) { { t.foo() } ->
typename T::type; };<br>
<br>
There was some discussion a while back about
solving this issue for base class specifiers.=C2=A0 S=
ee
the "<span
id=3D"m_7321260015833836276m_-5651616828397132737m_=
8613893391615802623t-t"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623IV=
ILX2C-mb-Y">base
class aliases" email thread [2].</span><br>
<br>
Tom.<br>
<br>
[1]: <a moz-do-not-send=3D"true"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623mo=
z-txt-link-freetext"
href=3D"http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2017/p0587r0.pdf=
"
target=3D"_blank">http://www.open-std.org/jtc1/sc22=
/wg21/docs/papers/2017/p0587r0.pdf</a><br>
[2]:
<a moz-do-not-send=3D"true"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623mo=
z-txt-link-freetext"
href=3D"https://groups.google.com/a/isocpp.org/forum/#%21searchin/std-propo=
sals/base$20class$20aliases/std-proposals/zNvQQTKvoLQ/-5qMiIqvOP4J"
target=3D"_blank">https://groups.google.com/a/isocp=
p.org/forum/#!searchin/std-proposals/base$20class$20aliases/std-proposals/z=
NvQQTKvoLQ/-5qMiIqvOP4J</a></div>
</div>
<div bgcolor=3D"#FFFFFF" text=3D"#000000">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623mo=
z-cite-prefix"><br>
<br>
On 05/02/2017 10:22 AM, Christopher Di Bella
wrote:<br>
</div>
</div>
<div bgcolor=3D"#FFFFFF" text=3D"#000000">
<blockquote type=3D"cite">
<div dir=3D"ltr">Hi all,
<div><br>
</div>
<div>I posted a proposal a few weeks ago,
regarding an extension to the Concepts TS that
allows type aliases inside requirement bodies,
but it didn't get the traction I was hoping it
would. The previous email didn't give any
motivation outside of the attached document,
so I thought I'd touch base, and add a bit of
motivation in the email; in case you can't
read the document right now. Thanks to Sergey
Zubkov for bringing that to my attention.</div>
<div><br>
</div>
<div><b><font size=3D"4">Motivation 1</font></b></d=
iv>
<div><b><br>
</b></div>
<div>Concepts are fun to work with, and fun to
design, but anything with more than a few
names is tedious to type up, and tedious to
read.</div>
<div>Consider this rather verbose attempt at
drafting a concept for a sequence container:</div=
>
<div><br>
</div>
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint"
style=3D"background-color:rgb(250,250,250);border-color:rgb(187,187,187);bo=
rder-style:solid;border-width:1px;word-wrap:break-word"><code
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623su=
bprettyprint"><span
style=3D"color:#800"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
using value_type_t, difference_type_t,
and concepts from Ranges TS</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
<br>
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">template</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
X</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">...</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Args</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
<br>
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">concept</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">bool</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">SequenceContaioner</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Container</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
requires </span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
value_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
difference_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Constructible</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
difference_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
value_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Construictible</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">value_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>>>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">value_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>>>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#8=
00"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
...</span><span style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">};</span></div>
</code></div>
<div><br>
</div>
<div>Our current <font face=3D"courier new,
monospace">SequenceContainer</font> is quite
jarring to read, so we might like to split it
into <font face=3D"courier new, monospace">Sequen=
ceContainer</font>
and <font face=3D"courier new, monospace">detail:=
:SequenceConstructible</font>:</div>
<div><br>
</div>
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint"
style=3D"background-color:rgb(250,250,250);border-color:rgb(187,187,187);bo=
rder-style:solid;border-width:1px;word-wrap:break-word"><code
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623su=
bprettyprint"><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">namespace</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
detail </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">template</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
X</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
D</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">...</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Args</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">concept</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">bool</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">SequenceConstructible</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Constructible</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
D</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"=
color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Constructible</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"=
color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 </span><span style=3D"=
color:#800"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
...</span><span style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
60"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#8=
00"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
Other SequenceContainer details here...</sp=
an><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">}</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#800"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
namespace detail</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
<br>
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">template</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
X</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">...</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Args</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">concept</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">bool</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">SequenceContainer</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Container</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0detail</span><span style=3D"co=
lor:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">::</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">SequenceConstructible</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
value_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
difference_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Args</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">...></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#800"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#8=
00"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
...</span><span style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">;</span></div>
</code></div>
<div><br>
</div>
<div>Now we can read the implementation of a <font
face=3D"courier new, monospace">SequenceContain=
er</font>
without the added noise of <font
face=3D"courier new, monospace">value_type_t<=
;X></font>,
<font face=3D"courier new, monospace">difference_=
type_t<X></font>,
and <font face=3D"courier new, monospace">initial=
izer_list<value_type_t<X>></font>
at every turn, but we've now created a second,
exposition-only concept with exactly one
use-case: to facilitate the readability of our
usable concept that (hopefully!) has many
use-cases. Furthermore, we need to find a
meaningful name for our exposition-only
concepts so that they are easy to understand.</di=
v>
<div><br>
</div>
<div><b>Desired outcome</b></div>
<div><b><br>
</b></div>
<div>It would be nice to have something that
resembles:</div>
<div><br>
</div>
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint"
style=3D"background-color:rgb(250,250,250);border-color:rgb(187,187,187);bo=
rder-style:solid;border-width:1px;word-wrap:break-word"><code
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623su=
bprettyprint"><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">template</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
X</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">...</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Args</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">concept</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">bool</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">SequenceContainer</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Container</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
requires </span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">using</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
value_type </span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
value_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#800"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
type alias value_type</span><span
style=3D"color:#800"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,
typename requirement for
value_type_t<X></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">using</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
difference_type </span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
difference_type_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">using</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list_type </span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list</span><span
style=3D"color:#080"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><value_type></span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#800"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
just a type alias</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
<br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Constructible</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
difference_type</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
value_type</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Constructible</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list_type</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">X</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
initializer_list_type</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#8=
00"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">//
...</span><span style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">};</span></div>
</code></div>
<div><font face=3D"courier new, monospace"><br>
</font></div>
<div><br>
</div>
<div><b>Why is this desirable given the above
motivation?</b></div>
<div>
<ul>
<li>Exposition-only concepts that exist
solely to improve readability are removed.</l=
i>
</ul>
<div><b><font size=3D"4">Motivation 2</font></b><=
/div>
</div>
<div><br>
</div>
<div>Let's now consider an attempt to turn
std::inner_product into a concept-checked
inner_product:</div>
<br>
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint"
style=3D"background-color:rgb(250,250,250);border-color:rgb(187,187,187);bo=
rder-style:solid;border-width:1px;word-wrap:break-word"><code
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623su=
bprettyprint"><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">template</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InputIterator</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Sentinel</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InputIterator</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Sentinel</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">CopyConstructible</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
identity</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
identity</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">IndirectRegularInvocable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">projected</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
projected</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
multiplies</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">RegularInvocable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 indirect_result_of_t</=
span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">projected</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
projected</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>)>></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
plus</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><>></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
requires<br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">const</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
result_of_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0 =C2=A0 indirect_result_of_t</=
span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">projected</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
projected</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>)>)>>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
T inner_product</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1
first1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S1 last1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I2 first2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S2 last2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T init</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
op1 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{},</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><font color=3D"#000000"><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=C2=A0
=C2=A0</span></font><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
op2 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{},</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
proj1 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{},</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
proj2 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{});</span></div>
</code></div>
<div><br>
</div>
<div>Ugly. There's lots of repetition, and
overall, it's quite difficult to reason if
it's correct. Let's tidy that up a bit:</div>
<div><br>
</div>
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint"
style=3D"background-color:rgb(250,250,250);border-color:rgb(187,187,187);bo=
rder-style:solid;border-width:1px;word-wrap:break-word"><code
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623su=
bprettyprint"><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">template</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InputIterator</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Sentinel</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InputIterator</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Sentinel</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">CopyConstructible</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
plus</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
multiplies</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
identity</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
identity</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
projected</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
projected</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InnerResult</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
indirect_result_of_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&(</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">)>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">OuterResult</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
result_of_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InnerResult</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">)>></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
requires<br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">const</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">IndirectRegularInvocable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">RegularInvocable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InnerResult</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&&</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">OuterResult</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>()</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
T inner_product</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1
first1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S1 last1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I2 first2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S2 last2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T init</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
op1 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{},</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><font color=3D"#000000"><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=C2=A0
=C2=A0</span></font><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
op2 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{},</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
proj1 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{},</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
proj2 </span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{});</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span></div>
</code></div>
<div><br>
</div>
<div>That's much easier on the eyes, and our
operations are properly ordered! Sadly, we've
introduced an opportunity for Crafty
Programmer who thinks that they know better
than their compiler (and library
specification) to manipulate the template
specialisation to allow
syntactically-compatible-but-semantically-incompa=
tible
types to pass the concept check. This is an
unlikely scenario, but we can't rule it out
from happening for all concept-checked
functions.</div>
<div><br>
</div>
<div><b>Desired outcome</b></div>
<div><br>
</div>
<div>It'd be great if we could do this instead:</di=
v>
<div><br>
</div>
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint"
style=3D"background-color:rgb(250,250,250);border-color:rgb(187,187,187);bo=
rder-style:solid;border-width:1px;word-wrap:break-word"><code
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623pr=
ettyprint">
<div
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623su=
bprettyprint"><span
style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">template</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InputIterator</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Sentinel</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InputIterator</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Sentinel</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#6=
06"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">CopyConstructible</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
plus</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
multiplies</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><>,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
identity</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">typename</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
identity</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">></span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
requires requires </span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">{</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#008"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">const</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
<br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">using</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
projected</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">using</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg2</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
projected</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Proj2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">using</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Inner_result</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
indirect_result_of_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&(</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">)>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0</span><span style=3D"color:#0=
08"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">using</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Outer_result</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">=3D</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
result_of_t</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InnerResult</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">)>;</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
<br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">IndirectRegularInvocable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Arg2</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">RegularInvocable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">InnerResult</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
=C2=A0 =C2=A0requires </span><span
style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Assignable</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">T</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">&,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">OuterResult</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">>();</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">}</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"><br>
T inner_product</span><span
style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">(</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">I1
first1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S1 last1</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
I2 first2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
S2 last2</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
T init</span><span style=3D"color:#660"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">,</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">
</span><span style=3D"color:#606"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify">Op1</span><span
style=3D"color:#000"
class=3D"m_7321260015833836276m_-5651616828397132737m_8613893391615802623st=
yled-by-prettify"></span></div>
</code></div>
</div>
</blockquote>
</div>
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