1. Revision History
1.1. Revision 1 - November 6th, 2019
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     Change to snake_case 
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     Update wording to target [n4835]. 
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     Moved by LWG! 🎉 
1.2. Revision 0 - August, 5th, 2019
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     Initial release. 
2. Motivation
| Currently | With Proposal | 
|---|---|
| ❌ - Compilation error ⚠️ - Compiles, but is | ✔️ - Compiles and works with no extra template instantiations ✔️ - Compiles and works with no extra templates. is | 
| ❌ - Compilation error ⚠️ - Compiles, but isandis | ✔️ - Compiles and works, types match input. ✔️ - Compiles and works, where isandis. | 
Currently in C++, there is no Generic ("with a capital G") way to take a range apart with its iterators and put it back together. That is, the following code is not guaranteed to work:
template < typename Range > auto operate_on_and_return_updated_range ( Range && range ) { using uRange = std :: remove_cvref_t < Range > ; if ( std :: ranges :: empty ( range )) { // ... the below errors return uRange ( std :: forward < Range > ( range )); } /* perform some work with the iterators or similar */ auto first = std :: ranges :: begin ( range ); auto last = std :: ranges :: end ( range ); if ( * first == u '\0xEF ') { // ... std :: advance ( first , 3 ); // ... } // ... algorithm finished, // return the "updated" range! // ... but the below errors return uRange ( std :: move ( first ), std :: move ( last )); } int main () { std :: string_view meow_view = "나는 유리를 먹을 수 있어요. 그래도 아프지 않아요" ; // this line will error std :: string_view sub_view = operate_on_and_return_updated_range ( meow_view ); return 0 ; } 
The current fix is to employ 
template < typename Range > auto operate_on_and_return_updated_range ( Range && range ) { using uRange = std :: remove_cvref_t < Range > ; using I = std :: Iterator < uRange > ; using S = std :: Sentinel < uRange > ; using Result = std :: ranges :: subrange < I , S > ; if ( std :: ranges :: empty ( range )) { return uRange ( std :: forward < Range > ( range )); } // perform some work with the // iterators or similar auto first = std :: ranges :: begin ( range ); auto last = std :: ranges :: end ( range ); if ( * first == u '\0xEF ') { // ... std :: advance ( first , 3 ); // ... } // ... algorithm finished, // return the "updated" range! // now it works! return Result ( std :: move ( first ), std :: move ( last )); } int main () { std :: string_view meow_view = "나는 유리를 먹을 수 있어요. 그래도 아프지 않아요" ; auto sub_view = operate_on_and_return_updated_range ( meow_view ); // decltype(sub_view) == // std::ranges::subrange<std::string_view::iterator,std::string_view::iterator> // which is nowhere close to ideal. return 0 ; } 
This makes it work with any two pair of iterators, but quickly becomes undesirable from an interface point of view. If a user passes in a 
Unfortunately, this decreases usability for end users. Users who have, for example a 
There is also a problem where there are a wide variety of ranges that could conceivably meet this criterion, but do not. The author of the very first draft of this paper was not the only one to see utility in such operations. [p1739r0] does much the same that this paper does, without the introduction of a concept to formalize the behavior it presents. In particular, it selects views which can realistically have their return types changed to match the input range and operations being performed (or a similarly powerful alternative) by asking whether they are constructible from a subrange of the iterators with the expressions acted upon. This paper does not depend on any other papers, but note that the changes from [p1739r0], [p1391r2] and [p1394r2] all follow down to the logical conclusion laid out here:
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     Ranges should be reconstructible from their iterators (or subrange of their iterators) where applicable; 
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     and, reconstructible ranges serve a useful purpose in generic algorithms, including not losing information and returning it in a much more cromulent and desirable form. 
3. Design
The design is simple and is given in 2 exposition-only concepts added to the standard:
template < class R > concept pair - reconstructible - range = ranges :: range < R > && forwarding - range < remove_reference_t < R >> && constructible_from < R , ranges :: iterator_t < R > , ranges :: sentinel_t < R >> ; template < class R > concept reconstructible - range = ranges :: range < R > && forwarding - range < remove_reference_t < R >> && constructible_from < R , ranges :: subrange < ranges :: iterator_t < R > , ranges :: sentinel_t < R >>> ; 
It is the formalization that a range can be constructed from its begin iterator and end iterator/sentinel. It also provides an exposition-only concept for allowing a range to be constructed from a 
Both concepts require that the type with any references removed model the exposition-only concept 
3.1. Should this apply to all Ranges?
Not all ranges can meet this requirement. Some ranges contain state which cannot be trivially propagated into the iterators, or state that cannot be reconstructed from the iterator/sentinel pair itself. However, most of the common ranges representing unbounded views, empty views, iterations viewing some section of non-owned storage, or similar can all be constructed from their iterator/iterator or iterator/sentinel pair.
For example 
3.2. Applicability
There are many ranges to which this is applicable, but only a handful in the standard library need or satisfy this. If [p1391r2] and [p1394r2] are accepted, then the two most important view types -- 
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     std :: ranges :: subrange 
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     std :: span 
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     std :: basic_string_view 
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     std :: ranges :: empty_view 
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     and, std :: ranges :: iota_view 
The following range adaptor closure objects will make use of the concepts in determining the type of the returned range:
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     views :: drop 
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     views :: take 
There are also upcoming ranges from [range-v3] and elsewhere that could model this concept:
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     [p1255r4]'s std :: ranges :: ref_maybe_view 
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     [p0009r9]'s std :: mdspan 
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     and, soon to be proposed by this author for the purposes of output range algorithms, [range-v3]'s ranges :: unbounded_view 
And there are further range adaptor closure objects that could make use of this concept:
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     views :: slice views :: take_exactly views :: drop_exactly views :: take_last 
Note that these changes will greatly aid other algorithm writers who want to preserve the same input ranges. In the future, it may be beneficial to provide more than just an exposition-only concept to check, but rather a function in the standard in 
This paper does not propose this at this time because concepts -- and the things that rely on them -- must remain stable from now and into infinity. It is better as an exposition-only named set of helpers whose semantics we are a little more free to improve or be adapted, rather than hard-and-fast functions and named concepts which are impossible to fix or improve in the future due to the code which may rely on it.
3.3. Two Concepts
By giving these ranges 
This paper includes two concepts that cover both reconstructible methods.
4. Impact
Originally, the impact of this feature was perceived to be small and likely not necessary to work into C++20. Indeed: this paper originally targeted C++23 with the intent of slowly working through existing ranges and range implementations and putting the concept and the manifestation of concepts in range libraries, particularly range-v3, over time.
This changed in the face of [p1739r0]. Hauswedell’s paper here makes it clear there are usability and API wins that are solved by this concept for APIs that are already in the working draft today, and that not having the concept has resulted in interface inconsistency and ad-hoc, one-off fixes to fit limited problem domains without any respite to routines which have a desire to preserve the input types into their algorithms. Since this paper’s concept is likely to change interfaces API return values in a beneficial but ultimately breaking manner, this paper’s consideration was brought up to be presented as a late C++20 paper for the purpose of fixing the interface as soon as possible.
Note that this is a separate concept. It is not to be added to the base 
5. Proposed Changes
The following wording is relative to the latest C++ Draft paper.
5.1. Feature Test Macro
This paper results in an exposition-only concept to help guide the further development of standard ranges and simplify their usages in generic contexts. There is one proposed feature test macro, 
5.2. Intent
The intent of this wording is to provide greater generic coding guarantees and optimizations by allowing for a class of ranges and views that model the new exposition-only definitions of a reconstructible range:
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     add a new feature test macro for reconstructible ranges to cover constructor changes; 
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     add two new exposition-only requirements to [range.req]; 
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     add expression checks to views :: take 
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     add expression checks to views :: drop 
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     add expression checks to views :: counted 
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     add constructors for reconstructing the range to views :: empty_view 
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     add constructors for reconstructing the range to views :: iota_view 
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     and, make views :: iota_view friend begin () end () 
If forwarding-range is changed to the 
For ease of reading, the necessary portions of other proposal’s wording is duplicated here, with the changes necessary for the application of reconstructible range concepts. Such sections are clearly marked.
5.3. Proposed Library Wording
Add a feature test macro 
Insert into §24.4.2 Ranges [range.range]'s after paragraph 7, one additional paragraph:
8 The exposition-only pair-reconstructible-range and reconstructible-range concepts describe the requirements on ranges that are efficiently constructible from values of their iterator and sentinel types.template < class R > concept pair - reconstructible - range = // exposition only ranges :: range < R > && forwarding - range < remove_reference_t < R >> && constructible_from < remove_cvref_t < R > , ranges :: iterator_t < R > , ranges :: sentinel_t < R > > ; template < class R > concept reconstructible - range = // exposition only ranges :: range < R > && forwarding - range < remove_reference_t < R >> && constructible_from < remove_cvref_t < R > , ranges :: subrange < ranges :: iterator_t < R > , ranges :: sentinel_t < R >> > ; 
Add to §24.6.1.2 Class template 
namespace std :: ranges { template < class T > requires is_object_v < T > class empty_view : public view_interface < empty_view < T >> { public : empty_view () = default ; constexpr empty_view ( T * first , T * last ); static constexpr T * begin () noexcept { return nullptr ; } static constexpr T * end () noexcept { return nullptr ; } static constexpr T * data () noexcept { return nullptr ; } static constexpr ptrdiff_t size () noexcept { return 0 ; } static constexpr bool empty () noexcept { return true; } friend constexpr T * begin ( empty_view ) noexcept { return nullptr ; } friend constexpr T * end ( empty_view ) noexcept { return nullptr ; } }; } 24.6.1.3 Constructors [range.empty.cons]
constexpr empty_view ( T * first , T * last ); 1 Expects:
isfirst == last true.2 Effects: None.
3 Throws: Nothing.
Add to §24.6.3 Class template 
namespace std :: ranges { template < class I > concept Decrementable = // exposition only see below ; template < class I > concept Advanceable = // exposition only see below ; template < WeaklyIncrementable W , Semiregular Bound = unreachable_sentinel_t > requires weakly - equality - comparable - with < W , Bound > class iota_view : public view_interface < iota_view < W , Bound >> { private : // [range.iota.iterator], class iota_view::iterator struct iterator ; // exposition only // [range.iota.sentinel], class iota_view::sentinel struct sentinel ; // exposition only W value_ = W (); // exposition only Bound bound_ = Bound (); // exposition only public : iota_view () = default ; constexpr explicit iota_view ( W value ); constexpr iota_view ( type_identity_t < W > value , type_identity_t < Bound > bound ); constexpr iota_view ( iterator first , sentinel last ) : iota_view ( * first , last . bound_ ) {} constexpr iterator begin () const ; constexpr sentinel end () const ; constexpr iterator end () const requires Same < W , Bound > ; constexpr friend iterator begin ( iota_view v ) { return v . begin (); } constexpr friend auto end ( iota_view v ) { return v . end (); } constexpr auto size () const requires ( Same < W , Bound > && Advanceable < W > ) || ( Integral < W > && Integral < Bound > ) || SizedSentinel < Bound , W > { return bound_ - value_ ; } }; template < class W , class Bound > requires ( ! Integral < W > || ! Integral < Bound > || is_signed_v < W > == is_signed_v < Bound > ) iota_view ( W , Bound ) -> iota_view < W , Bound > ; } 
Modify §24.7.6.4 
1 The name
denotes a range adaptor object ([range.adaptor.object]).views :: take For some subexpressionsandE , the expressionF is expression-equivalent toviews :: take ( E , F ) .take_ view { E , F } 2 Let
andE be expressions, and let T beF . The expressionremove_cvref_t < decltype (( E )) > is expression-equivalent to:views :: take ( E , F ) 
- —
ifT { ranges :: begin ( E ), ranges :: begin ( E ) + min < range_ difference_ t < decltype (( E )) >> ( ranges :: size ( E ), F )} modelsT ,ranges :: random_access_range and pair-reconstructible-range, except thatranges :: sized_range is only evaluated once.E - — Otherwise,
ifT { ranges :: subrange { ranges :: begin ( E ), ranges :: begin ( E ) + min < range_ difference_ t < decltype (( E )) >> ( ranges :: size ( E ), F )}} modelsT ,ranges :: random_access_range and reconstructible-range, except thatranges :: sized_range is only evaluated once.E - — Otherwise,
.ranges :: take_ view { E , F } 
Modify §24.7.8 
1 The name
denotes a range adaptor object ([range.adaptor.object]).views :: drop For some subexpressions E and F, the expression views::drop(E, F) is expression-equivalent to drop_view{E, F}.LetandE be expressions, and letF beT . Then, the expressionremove_cvref_t < decltype (( E )) > is expression-equivalent to:views :: drop ( E , F ) 
- —
ifT { ranges :: begin ( E ) + min < range_ difference_ t < decltype (( E )) >> ( ranges :: size ( E ), F ), ranges :: end ( E )} modelsT ,ranges :: random_access_range and pair-reconstructible-range, except thatranges :: sized_range is only evaluated once.E - — Otherwise,
ifT { ranges :: subrange { ranges :: begin ( E ) + min < range_difference_t < decltype (( E )) >> ( ranges :: size ( E ), F ), ranges :: end ( E )}} modelsT ,ranges :: random_access_range and reconstructible-range, except thatranges :: sized_range is only evaluated once.E - — Otherwise,
.ranges :: drop_ view { E , F } 
Modify §24.7.12 
1 The name
denotes a range adaptor object ([range.adaptor.object]). Letviews :: counted andE be expressions, and letF beT . Then the expressiondecay_ t < decltype (( E )) > is expression-equivalent to:views :: counted ( E , F ) 
- — If
modelsT andinput_or_output_iterator modelsdecltype (( F )) ,convertible_to < iter_ difference_ t < T >> 
- —
ifspan { to_address ( E ), static_ cast < iter_ difference_ t < T >> ( F )} modelsT .contiguous_iterator - — Otherwise,
ifsubrange { E , E + static_ cast < iter_ difference_ t < T >> ( F )} modelsT , except thatrandom_access_iterator is only evaluated once .E - — Otherwise,
.subrange { counted_ iterator { E , F }, default_ sentinel } - — Otherwise,
is ill-formed. [ Note: This case can result in substitution failure whenviews :: counted ( E , F ) appears in the immediate context of a template instantiation. — end note]views :: counted ( E , F ) 
6. Acknowledgements
Thanks to Corentin Jabot, Christopher DiBella, and Hannes Hauswedell for pointing me to p1035 and p1739 to review both papers and combine some of their ideas in here. Thanks to Eric Niebler for prompting me to think of the generic, scalable solution to this problem rather than working on one-off fixes for individuals views.