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[alg.adjacent.find]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.adjacent.find)
### 26.6.10 Adjacent find [alg.adjacent.find]
[🔗](#lib:adjacent_find)
`template<class ForwardIterator>
constexpr ForwardIterator
adjacent_find(ForwardIterator first, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator
adjacent_find(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
template<class ForwardIterator, class BinaryPredicate>
constexpr ForwardIterator
adjacent_find(ForwardIterator first, ForwardIterator last,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator, class BinaryPredicate>
ForwardIterator
adjacent_find(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
BinaryPredicate pred);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>,
projected<I, Proj>> Pred = ranges::equal_to>
constexpr I ranges::adjacent_find(I first, S last, Pred pred = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>,
projected<iterator_t<R>, Proj>> Pred = ranges::equal_to>
constexpr borrowed_iterator_t<R> ranges::adjacent_find(R&& r, Pred pred = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>,
projected<I, Proj>> Pred = ranges::equal_to>
I ranges::adjacent_find(Ep&& exec, I first, S last, Pred pred = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>,
projected<iterator_t<R>, Proj>> Pred = ranges::equal_to>
borrowed_iterator_t<R>
ranges::adjacent_find(Ep&& exec, R&& r, Pred pred = {}, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5346)
Let E be:
- [(1.1)](#1.1)
*i == *(i + 1) for the overloads with no parameter pred;
- [(1.2)](#1.2)
pred(*i, *(i + 1)) != false for the overloads with a parameter pred and no parameter proj;
- [(1.3)](#1.3)
bool(invoke(pred, invoke(proj, *i), invoke(proj, *(i + 1)))) for the overloads with both parameters pred and proj[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5355)
*Returns*: The first iterator i such that both i and i + 1 are in the range [first, last)
for which E holds[.](#2.sentence-1)
Returns last if no such iterator is found[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5362)
*Complexity*: For the non-parallel algorithm overloads,
exactly min((i - first) + 1, (last - first) - 1) applications of the corresponding predicate,
where i is adjacent_find's return value[.](#3.sentence-1)
For the parallel algorithm overloads,O(last - first) applications of the corresponding predicate[.](#3.sentence-2)
No more than twice as many applications of any projection[.](#3.sentence-3)

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[alg.all.of]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.all.of)
### 26.6.1 All of [alg.all.of]
[🔗](#lib:all_of)
`template<class InputIterator, class Predicate>
constexpr bool all_of(InputIterator first, InputIterator last, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
bool all_of(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last,
Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr bool ranges::all_of(I first, S last, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr bool ranges::all_of(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
bool ranges::all_of(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
bool ranges::all_of(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4408)
Let E be:
- [(1.1)](#1.1)
pred(*i) for the overloads in namespace std;
- [(1.2)](#1.2)
invoke(pred, invoke(proj, *i)) for the overloads in namespace ranges[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4418)
*Returns*: false if E is false for some iterator i in the range [first, last), andtrue otherwise[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4424)
*Complexity*: At most last - first applications of the predicate and any projection[.](#3.sentence-1)

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[alg.any.of]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.any.of)
### 26.6.2 Any of [alg.any.of]
[🔗](#lib:any_of)
`template<class InputIterator, class Predicate>
constexpr bool any_of(InputIterator first, InputIterator last, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
bool any_of(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last,
Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr bool ranges::any_of(I first, S last, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr bool ranges::any_of(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
bool ranges::any_of(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
bool ranges::any_of(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4455)
Let E be:
- [(1.1)](#1.1)
pred(*i) for the overloads in namespace std;
- [(1.2)](#1.2)
invoke(pred, invoke(proj, *i)) for the overloads in namespace ranges[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4465)
*Returns*: true if E is true for some iterator i in the range [first, last), and false otherwise[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4470)
*Complexity*: At most last - first applications of the predicate
and any projection[.](#3.sentence-1)

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[alg.binary.search]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.binary.search)
### 26.8.4 Binary search [alg.binary.search]
#### [26.8.4.1](#general) General [[alg.binary.search.general]](alg.binary.search.general)
[1](#general-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9395)
All of the algorithms in [alg.binary.search] are versions of binary search and
assume that the sequence being searched
is partitioned with respect to an expression
formed by binding the search key to an argument of the comparison function[.](#general-1.sentence-1)
They work on non-random access iterators minimizing the number of comparisons,
which will be logarithmic for all types of iterators[.](#general-1.sentence-2)
They are especially appropriate for random access iterators,
because these algorithms do a logarithmic number of steps
through the data structure[.](#general-1.sentence-3)
For non-random access iterators they execute a linear number of steps[.](#general-1.sentence-4)
#### [26.8.4.2](#lower.bound) lower_bound [[lower.bound]](lower.bound)
[🔗](#lib:lower_bound)
`template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type>
constexpr ForwardIterator
lower_bound(ForwardIterator first, ForwardIterator last,
const T& value);
template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type,
class Compare>
constexpr ForwardIterator
lower_bound(ForwardIterator first, ForwardIterator last,
const T& value, Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<I, Proj>> Comp = ranges::less>
constexpr I ranges::lower_bound(I first, S last, const T& value, Comp comp = {},
Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<iterator_t<R>, Proj>> Comp =
ranges::less>
constexpr borrowed_iterator_t<R>
ranges::lower_bound(R&& r, const T& value, Comp comp = {}, Proj proj = {});
`
[1](#lower.bound-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9436)
Let comp be less{} andproj be identity{} for overloads with no parameters by those names[.](#lower.bound-1.sentence-1)
[2](#lower.bound-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9441)
*Preconditions*: The elements e of [first, last)
are partitioned with respect to the expression
bool(invoke(comp, invoke(proj, e), value))[.](#lower.bound-2.sentence-2)
[3](#lower.bound-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9447)
*Returns*: The furthermost iterator i in the range [first, last]
such that for every iterator j in the range [first, i),bool(invoke(comp, invoke(proj, *j), value)) is true[.](#lower.bound-3.sentence-1)
[4](#lower.bound-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9453)
*Complexity*: At most log2(last - first)+O(1) comparisons and projections[.](#lower.bound-4.sentence-1)
#### [26.8.4.3](#upper.bound) upper_bound [[upper.bound]](upper.bound)
[🔗](#lib:upper_bound)
`template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type>
constexpr ForwardIterator
upper_bound(ForwardIterator first, ForwardIterator last,
const T& value);
template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type,
class Compare>
constexpr ForwardIterator
upper_bound(ForwardIterator first, ForwardIterator last,
const T& value, Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<I, Proj>> Comp = ranges::less>
constexpr I ranges::upper_bound(I first, S last, const T& value, Comp comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<iterator_t<R>, Proj>> Comp =
ranges::less>
constexpr borrowed_iterator_t<R>
ranges::upper_bound(R&& r, const T& value, Comp comp = {}, Proj proj = {});
`
[1](#upper.bound-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9486)
Let comp be less{} andproj be identity{} for overloads with no parameters by those names[.](#upper.bound-1.sentence-1)
[2](#upper.bound-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9491)
*Preconditions*: The elements e of [first, last)
are partitioned with respect to the expression
!bool(invoke(comp, value, invoke(proj, e)))[.](#upper.bound-2.sentence-2)
[3](#upper.bound-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9497)
*Returns*: The furthermost iterator i in the range [first, last]
such that for every iterator j in the range [first, i),!bool(invoke(comp, value, invoke(proj, *j))) is true[.](#upper.bound-3.sentence-1)
[4](#upper.bound-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9503)
*Complexity*: At most log2(last - first)+O(1) comparisons and projections[.](#upper.bound-4.sentence-1)
#### [26.8.4.4](#equal.range) equal_range [[equal.range]](equal.range)
[🔗](#lib:equal_range)
`template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type>
constexpr pair<ForwardIterator, ForwardIterator>
equal_range(ForwardIterator first,
ForwardIterator last, const T& value);
template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type,
class Compare>
constexpr pair<ForwardIterator, ForwardIterator>
equal_range(ForwardIterator first,
ForwardIterator last, const T& value,
Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<I, Proj>> Comp = ranges::less>
constexpr subrange<I>
ranges::equal_range(I first, S last, const T& value, Comp comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<iterator_t<R>, Proj>> Comp =
ranges::less>
constexpr borrowed_subrange_t<R>
ranges::equal_range(R&& r, const T& value, Comp comp = {}, Proj proj = {});
`
[1](#equal.range-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9538)
Let comp be less{} andproj be identity{} for overloads with no parameters by those names[.](#equal.range-1.sentence-1)
[2](#equal.range-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9543)
*Preconditions*: The elements e of [first, last)
are partitioned with respect to the expressionsbool(invoke(comp, invoke(proj, e), value)) and!bool(invoke(comp, value, invoke(proj, e)))[.](#equal.range-2.sentence-1)
Also, for all elements e of [first, last),bool(comp(e, value)) implies !bool(comp(value, e)) for the overloads in namespace std[.](#equal.range-2.sentence-2)
[3](#equal.range-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9553)
*Returns*:
- [(3.1)](#equal.range-3.1)
For the overloads in namespace std:{lower_bound(first, last, value, comp),
upper_bound(first, last, value, comp)}
- [(3.2)](#equal.range-3.2)
For the overloads in namespace ranges:{ranges::lower_bound(first, last, value, comp, proj),
ranges::upper_bound(first, last, value, comp, proj)}
[4](#equal.range-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9570)
*Complexity*: At most2∗log2(last - first)+O(1) comparisons and projections[.](#equal.range-4.sentence-1)
#### [26.8.4.5](#binary.search) binary_search [[binary.search]](binary.search)
[🔗](#lib:binary_search)
`template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type>
constexpr bool
binary_search(ForwardIterator first, ForwardIterator last,
const T& value);
template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type,
class Compare>
constexpr bool
binary_search(ForwardIterator first, ForwardIterator last,
const T& value, Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<I, Proj>> Comp = ranges::less>
constexpr bool ranges::binary_search(I first, S last, const T& value, Comp comp = {},
Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<const T*, projected<iterator_t<R>, Proj>> Comp =
ranges::less>
constexpr bool ranges::binary_search(R&& r, const T& value, Comp comp = {},
Proj proj = {});
`
[1](#binary.search-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9605)
Let comp be less{} andproj be identity{} for overloads with no parameters by those names[.](#binary.search-1.sentence-1)
[2](#binary.search-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9610)
*Preconditions*: The elements e of [first, last)
are partitioned with respect to the expressionsbool(invoke(comp, invoke(proj, e), value)) and!bool(invoke(comp, value, invoke(proj, e)))[.](#binary.search-2.sentence-1)
Also, for all elements e of [first, last),bool(comp(e, value)) implies !bool(comp(value, e)) for the overloads in namespace std[.](#binary.search-2.sentence-2)
[3](#binary.search-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9620)
*Returns*: true if and only if
for some iterator i in the range [first, last),!bool(invoke(comp, invoke(proj, *i), value)) &&!bool(invoke(comp, value, invoke(proj, *i))) is true[.](#binary.search-3.sentence-1)
[4](#binary.search-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9628)
*Complexity*: At most log2(last - first)+O(1) comparisons and projections[.](#binary.search-4.sentence-1)

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[alg.binary.search.general]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.binary.search.general)
### 26.8.4 Binary search [[alg.binary.search]](alg.binary.search#general)
#### 26.8.4.1 General [alg.binary.search.general]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9395)
All of the algorithms in [[alg.binary.search]](alg.binary.search "26.8.4Binary search") are versions of binary search and
assume that the sequence being searched
is partitioned with respect to an expression
formed by binding the search key to an argument of the comparison function[.](#1.sentence-1)
They work on non-random access iterators minimizing the number of comparisons,
which will be logarithmic for all types of iterators[.](#1.sentence-2)
They are especially appropriate for random access iterators,
because these algorithms do a logarithmic number of steps
through the data structure[.](#1.sentence-3)
For non-random access iterators they execute a linear number of steps[.](#1.sentence-4)

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[alg.c.library]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.13 C library algorithms [alg.c.library]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14449)
[*Note [1](#note-1)*:
The header [<cstdlib>](cstdlib.syn#header:%3ccstdlib%3e "17.2.2Header <cstdlib> synopsis[cstdlib.syn]") declares the functions described in this subclause[.](#1.sentence-1)
— *end note*]
[🔗](#lib:bsearch)
`void* bsearch(const void* key, void* base, size_t nmemb, size_t size,
c-compare-pred* compar);
void* bsearch(const void* key, void* base, size_t nmemb, size_t size,
compare-pred* compar);
const void* bsearch(const void* key, const void* base, size_t nmemb, size_t size,
c-compare-pred* compar);
const void* bsearch(const void* key, const void* base, size_t nmemb, size_t size,
compare-pred* compar);
void qsort(void* base, size_t nmemb, size_t size, c-compare-pred* compar);
void qsort(void* base, size_t nmemb, size_t size, compare-pred* compar);
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14471)
*Preconditions*: For qsort, the objects in the array pointed to by base are of trivially copyable type[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14476)
*Effects*: These functions have the semantics specified in the C standard library[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14480)
*Throws*: Any exception thrown by compar ([[res.on.exception.handling]](res.on.exception.handling "16.4.6.14Restrictions on exception handling"))[.](#4.sentence-1)
See also: ISO/IEC 9899:2024, 7.24.5

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[alg.clamp]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.clamp)
### 26.8.10 Bounded value [alg.clamp]
[🔗](#lib:clamp)
`template<class T>
constexpr const T& clamp(const T& v, const T& lo, const T& hi);
template<class T, class Compare>
constexpr const T& clamp(const T& v, const T& lo, const T& hi, Compare comp);
template<class T, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<const T*, Proj>> Comp = ranges::less>
constexpr const T&
ranges::clamp(const T& v, const T& lo, const T& hi, Comp comp = {}, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11714)
Let comp be less{} for the overloads with no parameter comp,
and let proj be identity{} for the overloads with no parameter proj[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11720)
*Preconditions*: bool(invoke(comp, invoke(proj, hi), invoke(proj, lo))) is false[.](#2.sentence-1)
For the first form, type T meets the [*Cpp17LessThanComparable*](utility.arg.requirements#:Cpp17LessThanComparable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [29](utility.arg.requirements#tab:cpp17.lessthancomparable "Table 29: Cpp17LessThanComparable requirements"))[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11727)
*Returns*: lo if bool(invoke(comp, invoke(proj, v), invoke(proj, lo))) is true,hi if bool(invoke(comp, invoke(proj, hi), invoke(proj, v))) is true,
otherwise v[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11733)
[*Note [1](#note-1)*:
If NaN is avoided, T can be a floating-point type[.](#4.sentence-1)
— *end note*]
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11738)
*Complexity*: At most two comparisons and three applications of the projection[.](#5.sentence-1)

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[alg.contains]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.contains)
### 26.6.4 Contains [alg.contains]
[🔗](#lib:contains)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
constexpr bool ranges::contains(I first, S last, const T& value, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity, class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
constexpr bool ranges::contains(R&& r, const T& value, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4537)
*Returns*: ranges::find(std::move(first), last, value, proj) != last[.](#1.sentence-1)
[🔗](#itemdecl:2)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
bool ranges::contains(Ep&& exec, I first, S last, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
bool ranges::contains(Ep&& exec, R&& r, const T& value, Proj proj = {});
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4555)
*Returns*: ranges::find(std::forward<Ep>(exec), first, last, value, proj) != last[.](#2.sentence-1)
[🔗](#lib:contains_subrange)
`template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1,
[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr bool ranges::contains_subrange(I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R1, [forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr bool ranges::contains_subrange(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4576)
*Returns*: first2 == last2 || !ranges::search(first1, last1, first2, last2,
pred, proj1, proj2).empty()
[🔗](#itemdecl:4)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
bool ranges::contains_subrange(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
bool ranges::contains_subrange(Ep&& exec, R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4599)
*Returns*: first2 == last2 || !ranges::search(std::forward<Ep>(exec), first1, last1,
first2, last2, pred, proj1, proj2).empty()

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[alg.copy]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.copy)
### 26.7.1 Copy [alg.copy]
[🔗](#lib:copy)
`template<class InputIterator, class OutputIterator>
constexpr OutputIterator copy(InputIterator first, InputIterator last,
OutputIterator result);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
constexpr ranges::copy_result<I, O> ranges::copy(I first, S last, O result);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O>
constexpr ranges::copy_result<borrowed_iterator_t<R>, O> ranges::copy(R&& r, O result);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6361)
Let N be last - first[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6364)
*Preconditions*: result is not in the range [first, last)[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6368)
*Effects*: Copies elements in the range [first, last)
into the range [result, result + N)
starting from first and proceeding to last[.](#3.sentence-1)
For each non-negative integer n<N,
performs *(result + n) = *(first + n)[.](#3.sentence-2)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6376)
*Returns*:
- [(4.1)](#4.1)
result + N for the overload in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{last, result + N} for the overloads in namespace ranges[.](#4.2.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6385)
*Complexity*: Exactly N assignments[.](#5.sentence-1)
[🔗](#lib:copy_)
`template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator2 copy(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
ranges::copy_result<I, O>
ranges::copy(Ep&& exec, I first, S last, O result, OutS result_last);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>>
ranges::copy_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::copy(Ep&& exec, R&& r, OutR&& result_r);
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6409)
Let result_last be result + (last - first) for the overload in namespace std[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6413)
Let N be min(last - first, result_last - result)[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6416)
*Preconditions*: The ranges [first, last) and [result, result + N)
do not overlap[.](#8.sentence-1)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6421)
*Effects*: Copies elements in the range [first, first + N)
into the range [result, result + N)[.](#9.sentence-1)
For each non-negative integer n<N,
performs *(result + n) = *(first + n)[.](#9.sentence-2)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6428)
*Returns*:
- [(10.1)](#10.1)
result + N for the overload in namespace std[.](#10.1.sentence-1)
- [(10.2)](#10.2)
{first + N, result + N} for the overloads in namespace ranges[.](#10.2.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6437)
*Complexity*: Exactly N assignments[.](#11.sentence-1)
[🔗](#lib:copy_n)
`template<class InputIterator, class Size, class OutputIterator>
constexpr OutputIterator copy_n(InputIterator first, Size n,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class Size, class ForwardIterator2>
ForwardIterator2 copy_n(ExecutionPolicy&& exec,
ForwardIterator1 first, Size n,
ForwardIterator2 result);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
constexpr ranges::copy_n_result<I, O>
ranges::copy_n(I first, iter_difference_t<I> n, O result);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O,
[sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
ranges::copy_n_result<I, O>
ranges::copy_n(Ep&& exec, I first, iter_difference_t<I> n, O result, OutS result_last);
`
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6465)
Let M be max(0, n)[.](#12.sentence-1)
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6468)
Let result_last be result + M for the overloads with no parameter result_last[.](#13.sentence-1)
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6472)
Let N be min(result_last - result,M)[.](#14.sentence-1)
[15](#15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6475)
*Mandates*: The type Size is convertible
to an integral type ([[conv.integral]](conv.integral "7.3.9Integral conversions"), [[class.conv]](class.conv "11.4.8Conversions"))[.](#15.sentence-1)
[16](#16)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6480)
*Effects*: For each non-negative integer i<N,
performs *(result + i) = *(first + i)[.](#16.sentence-1)
[17](#17)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6485)
*Returns*:
- [(17.1)](#17.1)
result + N for the overloads in namespace std[.](#17.1.sentence-1)
- [(17.2)](#17.2)
{first + N, result + N} for the overload in namespace ranges[.](#17.2.sentence-1)
[18](#18)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6496)
*Complexity*: Exactly N assignments[.](#18.sentence-1)
[🔗](#lib:copy_if)
`template<class InputIterator, class OutputIterator, class Predicate>
constexpr OutputIterator copy_if(InputIterator first, InputIterator last,
OutputIterator result, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class Predicate>
ForwardIterator2 copy_if(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result, Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
constexpr ranges::copy_if_result<I, O>
ranges::copy_if(I first, S last, O result, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O>
constexpr ranges::copy_if_result<borrowed_iterator_t<R>, O>
ranges::copy_if(R&& r, O result, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
ranges::copy_if_result<I, O>
ranges::copy_if(Ep&& exec, I first, S last, O result, OutS result_last,
Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR,
class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>>
ranges::copy_if_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::copy_if(Ep&& exec, R&& r, OutR&& result_r, Pred pred, Proj proj = {});
`
[19](#19)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6539)
Let E(i) be:
- [(19.1)](#19.1)
bool(pred(*i)) for the overloads in namespace std;
- [(19.2)](#19.2)
bool(invoke(pred, invoke(proj, *i))) for the overloads in namespace ranges[.](#19.sentence-1)
[20](#20)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6550)
Let:
- [(20.1)](#20.1)
M be the number of iterators i in the range [first, last)
for which the condition E(i) holds;
- [(20.2)](#20.2)
result_last be result + M for the overloads with no parameter result_last or result_r;
- [(20.3)](#20.3)
N be min(M, result_last - result)[.](#20.sentence-1)
[21](#21)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6563)
*Preconditions*: The ranges [first, last) and [result, result + N)
do not overlap[.](#21.sentence-1)
[*Note [1](#note-1)*:
For the parallel algorithm overload in namespace std,
there can be a performance cost
if iterator_traits<ForwardIterator1>::value_type does not meet the *Cpp17MoveConstructible* (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) requirements[.](#21.sentence-2)
For the parallel algorithm overloads in namespace ranges,
there can be a performance cost
if iter_value_t<I> does not model [move_constructible](concept.moveconstructible#concept:move_constructible "18.4.13Concept move_­constructible[concept.moveconstructible]")[.](#21.sentence-3)
— *end note*]
[22](#22)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6577)
*Effects*: Copies the first N elements referred to
by the iterator i in the range [first, last)
for which E(i) is true into the range [result, result + N)[.](#22.sentence-1)
[23](#23)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6584)
*Returns*:
- [(23.1)](#23.1)
result + N for the overloads in namespace std[.](#23.1.sentence-1)
- [(23.2)](#23.2)
{last, result + N} for the overloads in namespace ranges, if N is equal to M[.](#23.2.sentence-1)
- [(23.3)](#23.3)
Otherwise, {j, result_last} for the overloads in namespace ranges,
where j is the iterator in [first, last)
for which E(j) holds
and there are exactly N iterators i in [first, j) for which E(i) holds[.](#23.3.sentence-1)
[24](#24)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6602)
*Complexity*: At most last - first applications
of the corresponding predicate and any projection[.](#24.sentence-1)
[25](#25)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6607)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#25.sentence-1)
[🔗](#lib:copy_backward)
`template<class BidirectionalIterator1, class BidirectionalIterator2>
constexpr BidirectionalIterator2
copy_backward(BidirectionalIterator1 first,
BidirectionalIterator1 last,
BidirectionalIterator2 result);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I2>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I1, I2>
constexpr ranges::copy_backward_result<I1, I2>
ranges::copy_backward(I1 first, S1 last, I2 result);
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, [bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, I>
constexpr ranges::copy_backward_result<borrowed_iterator_t<R>, I>
ranges::copy_backward(R&& r, I result);
`
[26](#26)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6631)
Let N be last - first[.](#26.sentence-1)
[27](#27)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6634)
*Preconditions*: result is not in the range (first, last][.](#27.sentence-1)
[28](#28)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6638)
*Effects*: Copies elements in the range [first, last)
into the range [result - N, result)
starting from last - 1 and proceeding to first[.](#28.sentence-1)[201](#footnote-201 "copy_­backward can be used instead of copy when last is in the range [result - N, result).")
For each positive integer n ≤ N,
performs *(result - n) = *(last - n)[.](#28.sentence-2)
[29](#29)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6650)
*Returns*:
- [(29.1)](#29.1)
result - N for the overload in namespace std[.](#29.1.sentence-1)
- [(29.2)](#29.2)
{last, result - N} for the overloads in namespace ranges[.](#29.2.sentence-1)
[30](#30)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6661)
*Complexity*: Exactly N assignments[.](#30.sentence-1)
[201)](#footnote-201)[201)](#footnoteref-201)
copy_backward can be used instead of copy when last is in the range [result - N, result)[.](#footnote-201.sentence-1)

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[alg.count]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.count)
### 26.6.11 Count [alg.count]
[🔗](#lib:count)
`template<class InputIterator, class T = iterator_traits<InputIterator>::value_type>
constexpr typename iterator_traits<InputIterator>::difference_type
count(InputIterator first, InputIterator last, const T& value);
template<class ExecutionPolicy, class ForwardIterator,
class T = iterator_traits<ForwardIterator>::value_type>
typename iterator_traits<ForwardIterator>::difference_type
count(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last, const T& value);
template<class InputIterator, class Predicate>
constexpr typename iterator_traits<InputIterator>::difference_type
count_if(InputIterator first, InputIterator last, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
typename iterator_traits<ForwardIterator>::difference_type
count_if(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last, Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
constexpr iter_difference_t<I>
ranges::count(I first, S last, const T& value, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity, class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
constexpr range_difference_t<R>
ranges::count(R&& r, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
iter_difference_t<I>
ranges::count(Ep&& exec, I first, S last, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to,
projected<iterator_t<R>, Proj>, const T*>
range_difference_t<R> ranges::count(Ep&& exec, R&& r, const T& value, Proj proj = {});
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr iter_difference_t<I>
ranges::count_if(I first, S last, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr range_difference_t<R>
ranges::count_if(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
iter_difference_t<I>
ranges::count_if(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
range_difference_t<R>
ranges::count_if(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5436)
Let E be:
- [(1.1)](#1.1)
*i == value for the overloads
with no parameter pred or proj;
- [(1.2)](#1.2)
pred(*i) != false for the overloads
with a parameter pred but no parameter proj;
- [(1.3)](#1.3)
invoke(proj, *i) == value for the overloads
with a parameter proj but no parameter pred;
- [(1.4)](#1.4)
bool(invoke(pred, invoke(proj, *i))) for the overloads
with both parameters proj and pred[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5453)
*Effects*: Returns the number of iterators i in the range [first, last)
for which E holds[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5458)
*Complexity*: Exactly last - first applications
of the corresponding predicate and any projection[.](#3.sentence-1)

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[alg.ends.with]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.ends.with)
### 26.6.17 Ends with [alg.ends.with]
[🔗](#lib:ends_with)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires ([forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")<I1> || [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<S1, I1>) &&
([forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")<I2> || [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<S2, I2>) &&
[indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr bool ranges::ends_with(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6091)
Let N1 be last1 - first1 andN2 be last2 - first2[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6095)
*Returns*: false if N1 < N2, otherwise:ranges::equal(std::move(first1) + (N1 - N2), last1, std::move(first2), last2,
pred, proj1, proj2)
[🔗](#itemdecl:2)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
bool ranges::ends_with(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6114)
Let N1 be last1 - first1 andN2 be last2 - first2[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6118)
*Returns*: false if N1 < N2, otherwise:ranges::equal(std::forward<Ep>(exec), std::move(first1) + (N1 - N2), last1,
std::move(first2), last2, pred, proj1, proj2)
[🔗](#itemdecl:3)
`template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, class Pred = ranges::equal_to, class Proj1 = identity,
class Proj2 = identity>
requires ([forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]")<R1> || [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]")<R1>) &&
([forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]")<R2> || [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]")<R2>) &&
[indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr bool ranges::ends_with(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6138)
Let N1 be ranges::distance(r1) andN2 be ranges::distance(r2)[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6142)
*Returns*: false if N1 < N2, otherwise:ranges::equal(views::drop(ranges::ref_view(r1), N1 - static_cast<decltype(N1)>(N2)),
r2, pred, proj1, proj2)
[🔗](#itemdecl:4)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2, class Pred = ranges::equal_to,
class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
bool ranges::ends_with(Ep&& exec, R1&& r1, R2&& r2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6161)
Let N1 be ranges::distance(r1) andN2 be ranges::distance(r2)[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6165)
*Returns*: false if N1 < N2, otherwise:ranges::equal(std::forward<Ep>(exec),
views::drop(ranges::ref_view(r1), N1 - static_cast<decltype(N1)>(N2)),
r2, pred, proj1, proj2)

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[alg.equal]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.equal)
### 26.6.13 Equal [alg.equal]
[🔗](#lib:equal)
`template<class InputIterator1, class InputIterator2>
constexpr bool equal(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
bool equal(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2);
template<class InputIterator1, class InputIterator2,
class BinaryPredicate>
constexpr bool equal(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
bool equal(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, BinaryPredicate pred);
template<class InputIterator1, class InputIterator2>
constexpr bool equal(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
bool equal(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class InputIterator1, class InputIterator2,
class BinaryPredicate>
constexpr bool equal(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
bool equal(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr bool ranges::equal(I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, class Pred = ranges::equal_to,
class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr bool ranges::equal(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
bool ranges::equal(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
bool ranges::equal(Ep&& exec, R1&& r1, R2&& r2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5645)
Let:
- [(1.1)](#1.1)
last2 be first2 + (last1 - first1) for the overloads in namespace std with no parameter last2;
- [(1.2)](#1.2)
pred be equal_to{} for the overloads with no parameter pred;
- [(1.3)](#1.3)
E be:
* [(1.3.1)](#1.3.1)
pred(*i, *(first2 + (i - first1))) for the overloads with no parameter proj1;
* [(1.3.2)](#1.3.2)
invoke(pred, invoke(proj1, *i), invoke(proj2, *(first2 + (i - first1)))) for the overloads with parameter proj1[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5667)
*Returns*: If last1 - first1 != last2 - first2, return false[.](#2.sentence-1)
Otherwise return true if E holds for every iterator i in the range [first1, last1)[.](#2.sentence-2)
Otherwise, returns false[.](#2.sentence-3)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5674)
*Complexity*: If
- [(3.1)](#3.1)
the types of first1, last1, first2, and last2 meet the [*Cpp17RandomAccessIterator*](random.access.iterators#:Cpp17RandomAccessIterator "24.3.5.7Random access iterators[random.access.iterators]") requirements ([[random.access.iterators]](random.access.iterators "24.3.5.7Random access iterators"))
and last1 - first1 != last2 - first2 for the overloads in namespace std;
- [(3.2)](#3.2)
the types of first1, last1, first2, and last2 pairwise model [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]") ([[iterator.concept.sizedsentinel]](iterator.concept.sizedsentinel "24.3.4.8Concept sized_­sentinel_­for"))
and last1 - first1 != last2 - first2 for the first and third overloads in namespace ranges, or
- [(3.3)](#3.3)
R1 and R2 each model [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]") and ranges::distance(r1) != ranges::distance(r2) for the second and fourth overloads in namespace ranges,
then no applications of the corresponding predicate and each projection;
otherwise, at most min(last1 - first1, last2 - first2) applications of the corresponding predicate and any projections[.](#3.sentence-1)

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[alg.fill]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.fill)
### 26.7.6 Fill [alg.fill]
[🔗](#lib:fill)
`template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type>
constexpr void fill(ForwardIterator first, ForwardIterator last, const T& value);
template<class ExecutionPolicy, class ForwardIterator,
class T = iterator_traits<ForwardIterator>::value_type>
void fill(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last, const T& value);
template<class OutputIterator, class Size, class T = iterator_traits<OutputIterator>::value_type>
constexpr OutputIterator fill_n(OutputIterator first, Size n, const T& value);
template<class ExecutionPolicy, class ForwardIterator, class Size,
class T = iterator_traits<ForwardIterator>::value_type>
ForwardIterator fill_n(ExecutionPolicy&& exec,
ForwardIterator first, Size n, const T& value);
template<class O, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<O> S, class T = iter_value_t<O>>
requires [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<O, const T&>
constexpr O ranges::fill(O first, S last, const T& value);
template<class R, class T = range_value_t<R>>
requires [output_range](range.refinements#concept:output_range "25.4.6Other range refinements[range.refinements]")<R, const T&>
constexpr borrowed_iterator_t<R> ranges::fill(R&& r, const T& value);
template<class O, class T = iter_value_t<O>>
requires [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<O, const T&>
constexpr O ranges::fill_n(O first, iter_difference_t<O> n, const T& value);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> S,
class T = iter_value_t<O>>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, const T&>
O ranges::fill(Ep&& exec, O first, S last, const T& value);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class T = range_value_t<R>>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<R>, const T&>
borrowed_iterator_t<R> fill(Ep&& exec, R&& r, const T& value);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, class T = iter_value_t<O>>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, const T&>
O ranges::fill_n(Ep&& exec, O first, iter_difference_t<O> n, const T& value);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7432)
Let N be max(0, n) for the fill_n algorithms, andlast - first for the fill algorithms[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7436)
*Mandates*: The expression value is writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General")) to the output iterator[.](#2.sentence-1)
The type Size is convertible
to an integral type ([[conv.integral]](conv.integral "7.3.9Integral conversions"), [[class.conv]](class.conv "11.4.8Conversions"))[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7443)
*Effects*: Assigns value through all the iterators in the range [first, first + N)[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7448)
*Returns*: first + N[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7452)
*Complexity*: Exactly N assignments[.](#5.sentence-1)

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[alg.find]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.find)
### 26.6.6 Find [alg.find]
[🔗](#lib:find)
`template<class InputIterator, class T = iterator_traits<InputIterator>::value_type>
constexpr InputIterator find(InputIterator first, InputIterator last,
const T& value);
template<class ExecutionPolicy, class ForwardIterator,
class T = iterator_traits<ForwardIterator>::value_type>
ForwardIterator find(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last,
const T& value);
template<class InputIterator, class Predicate>
constexpr InputIterator find_if(InputIterator first, InputIterator last,
Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
ForwardIterator find_if(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last,
Predicate pred);
template<class InputIterator, class Predicate>
constexpr InputIterator find_if_not(InputIterator first, InputIterator last,
Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
ForwardIterator find_if_not(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
constexpr I ranges::find(I first, S last, const T& value, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity, class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
constexpr borrowed_iterator_t<R>
ranges::find(R&& r, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
I ranges::find(Ep&& exec, I first, S last, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to,
projected<iterator_t<R>, Proj>, const T*>
borrowed_iterator_t<R> ranges::find(Ep&& exec, R&& r, const T& value, Proj proj = {});
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr I ranges::find_if(I first, S last, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr borrowed_iterator_t<R>
ranges::find_if(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
I ranges::find_if(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
borrowed_iterator_t<R> ranges::find_if(Ep&& exec, R&& r, Pred pred, Proj proj = {});
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr I ranges::find_if_not(I first, S last, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr borrowed_iterator_t<R>
ranges::find_if_not(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
I ranges::find_if_not(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
borrowed_iterator_t<R> ranges::find_if_not(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5017)
Let E be:
- [(1.1)](#1.1)
*i == value for find;
- [(1.2)](#1.2)
pred(*i) != false for find_if;
- [(1.3)](#1.3)
pred(*i) == false for find_if_not;
- [(1.4)](#1.4)
bool(invoke(proj, *i) == value) for ranges::find;
- [(1.5)](#1.5)
bool(invoke(pred, invoke(proj, *i))) for ranges::find_if;
- [(1.6)](#1.6)
bool(!invoke(pred, invoke(proj, *i))) for ranges::find_if_not[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5028)
*Returns*: The first iterator i in the range [first, last)
for which E is true[.](#2.sentence-1)
Returns last if no such iterator is found[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5034)
*Complexity*: At most last - first applications
of the corresponding predicate and any projection[.](#3.sentence-1)

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[alg.find.end]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.find.end)
### 26.6.8 Find end [alg.find.end]
[🔗](#lib:find_end)
`template<class ForwardIterator1, class ForwardIterator2>
constexpr ForwardIterator1
find_end(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator1
find_end(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
constexpr ForwardIterator1
find_end(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
ForwardIterator1
find_end(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr subrange<I1>
ranges::find_end(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R1, [forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr borrowed_subrange_t<R1>
ranges::find_end(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
subrange<I1>
ranges::find_end(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
borrowed_subrange_t<R1>
ranges::find_end(Ep&& exec, R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5176)
Let:
- [(1.1)](#1.1)
pred be equal_to{} for the overloads with no parameter pred;
- [(1.2)](#1.2)
E be:
* [(1.2.1)](#1.2.1)
pred(*(i + n), *(first2 + n)) for the overloads in namespace std;
* [(1.2.2)](#1.2.2)
invoke(pred, invoke(proj1, *(i + n)), invoke(proj2, *(first2 + n))) for the overloads in namespace ranges;
- [(1.3)](#1.3)
i be last1 if [first2, last2) is empty,
or if (last2 - first2) > (last1 - first1) is true,
or if there is no iterator
in the range [first1, last1 - (last2 - first2))
such that for every non-negative integer n < (last2 - first2), E is true[.](#1.sentence-1)
Otherwise i is the last such iterator
in [first1, last1 - (last2 - first2))[.](#1.3.sentence-2)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5203)
*Returns*:
- [(2.1)](#2.1)
i for the overloads in namespace std[.](#2.1.sentence-1)
- [(2.2)](#2.2)
{i, i + (i == last1 ? 0 : last2 - first2)} for the overloads in namespace ranges[.](#2.2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5211)
*Complexity*: At most(last2 - first2) * (last1 - first1 - (last2 - first2) + 1) applications of the corresponding predicate and any projections[.](#3.sentence-1)

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[alg.find.first.of]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.find.first.of)
### 26.6.9 Find first [alg.find.first.of]
[🔗](#lib:find_first_of)
`template<class InputIterator, class ForwardIterator>
constexpr InputIterator
find_first_of(InputIterator first1, InputIterator last1,
ForwardIterator first2, ForwardIterator last2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator1
find_first_of(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class InputIterator, class ForwardIterator,
class BinaryPredicate>
constexpr InputIterator
find_first_of(InputIterator first1, InputIterator last1,
ForwardIterator first2, ForwardIterator last2,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
ForwardIterator1
find_first_of(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr I1 ranges::find_first_of(I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr borrowed_iterator_t<R1>
ranges::find_first_of(R1&& r1, R2&& r2,
Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
I1 ranges::find_first_of(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
borrowed_iterator_t<R1>
ranges::find_first_of(Ep&& exec, R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5275)
Let E be:
- [(1.1)](#1.1)
*i == *j for the overloads with no parameter pred;
- [(1.2)](#1.2)
pred(*i, *j) != false for the overloads with a parameter pred and no parameter proj1;
- [(1.3)](#1.3)
bool(invoke(pred, invoke(proj1, *i), invoke(proj2, *j))) for the overloads with parameters pred and proj1[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5283)
*Effects*: Finds an element that matches one of a set of values[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5287)
*Returns*: The first iterator i in the range [first1, last1)
such that for some iterator j in the range [first2, last2)E holds[.](#3.sentence-1)
Returns last1 if [first2, last2) is empty or
if no such iterator is found[.](#3.sentence-2)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5296)
*Complexity*: At most (last1 - first1) * (last2 - first2) applications
of the corresponding predicate and any projections[.](#4.sentence-1)

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[alg.find.last]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.find.last)
### 26.6.7 Find last [alg.find.last]
[🔗](#lib:find_last)
`template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
constexpr subrange<I> ranges::find_last(I first, S last, const T& value, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
constexpr borrowed_subrange_t<R> ranges::find_last(R&& r, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
subrange<I> ranges::find_last(Ep&& exec, I first, S last, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
borrowed_subrange_t<R> ranges::find_last(Ep&& exec, R&& r, const T& value, Proj proj = {});
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr subrange<I> ranges::find_last_if(I first, S last, Pred pred, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr borrowed_subrange_t<R> ranges::find_last_if(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
subrange<I> ranges::find_last_if(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R,
class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
borrowed_subrange_t<R> ranges::find_last_if(Ep&& exec, R&& r, Pred pred, Proj proj = {});
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr subrange<I> ranges::find_last_if_not(I first, S last, Pred pred, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr borrowed_subrange_t<R> ranges::find_last_if_not(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
subrange<I> ranges::find_last_if_not(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
borrowed_subrange_t<R> ranges::find_last_if_not(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5095)
Let E be:
- [(1.1)](#1.1)
bool(invoke(proj, *i) == value) for ranges::find_last;
- [(1.2)](#1.2)
bool(invoke(pred, invoke(proj, *i))) for ranges::find_last_if;
- [(1.3)](#1.3)
bool(!invoke(pred, invoke(proj, *i))) for ranges::find_last_if_not[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5106)
*Returns*: Let i be the last iterator in the range [first, last)
for which E is true[.](#2.sentence-1)
Returns {i, last}, or{last, last} if no such iterator is found[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5113)
*Complexity*: At most last - first applications of
the corresponding predicate and projection[.](#3.sentence-1)

143
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[alg.fold]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.fold)
### 26.6.18 Fold [alg.fold]
[🔗](#lib:fold_left)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class T = iter_value_t<I>,
[indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<T, I> F>
constexpr auto ranges::fold_left(I first, S last, T init, F f);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class T = range_value_t<R>,
[indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<T, iterator_t<R>> F>
constexpr auto ranges::fold_left(R&& r, T init, F f);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6188)
*Returns*: ranges::fold_left_with_iter(std::move(first), last, std::move(init), f).value
[🔗](#lib:fold_left_first)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S,
[indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<iter_value_t<I>, I> F>
requires [constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<iter_value_t<I>, iter_reference_t<I>>
constexpr auto ranges::fold_left_first(I first, S last, F f);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<range_value_t<R>, iterator_t<R>> F>
requires [constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<range_value_t<R>, range_reference_t<R>>
constexpr auto ranges::fold_left_first(R&& r, F f);
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6207)
*Returns*: ranges::fold_left_first_with_iter(std::move(first), last, f).value
[🔗](#lib:fold_right)
`template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class T = iter_value_t<I>,
[indirectly-binary-right-foldable](algorithm.syn#concept:indirectly-binary-right-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<T, I> F>
constexpr auto ranges::fold_right(I first, S last, T init, F f);
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, class T = range_value_t<R>,
[indirectly-binary-right-foldable](algorithm.syn#concept:indirectly-binary-right-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<T, iterator_t<R>> F>
constexpr auto ranges::fold_right(R&& r, T init, F f);
`
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6225)
*Effects*: Equivalent to:using U = decay_t<invoke_result_t<F&, iter_reference_t<I>, T>>;if (first == last)return U(std::move(init));
I tail = ranges::next(first, last);
U accum = invoke(f, *--tail, std::move(init));while (first != tail) accum = invoke(f, *--tail, std::move(accum));return accum;
[🔗](#lib:fold_right_last)
`template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S,
[indirectly-binary-right-foldable](algorithm.syn#concept:indirectly-binary-right-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<iter_value_t<I>, I> F>
requires [constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<iter_value_t<I>, iter_reference_t<I>>
constexpr auto ranges::fold_right_last(I first, S last, F f);
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R,
[indirectly-binary-right-foldable](algorithm.syn#concept:indirectly-binary-right-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<range_value_t<R>, iterator_t<R>> F>
requires [constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<range_value_t<R>, range_reference_t<R>>
constexpr auto ranges::fold_right_last(R&& r, F f);
`
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6253)
Let U bedecltype(ranges::fold_right(first, last, iter_value_t<I>(*first), f))[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6257)
*Effects*: Equivalent to:if (first == last)return optional<U>();
I tail = ranges::prev(ranges::next(first, std::move(last)));return optional<U>(in_place,
ranges::fold_right(std::move(first), tail, iter_value_t<I>(*tail), std::move(f)));
[🔗](#lib:fold_left_with_iter)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class T = iter_value_t<I>,
[indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<T, I> F>
constexpr see below ranges::fold_left_with_iter(I first, S last, T init, F f);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class T = range_value_t<R>,
[indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<T, iterator_t<R>> F>
constexpr see below ranges::fold_left_with_iter(R&& r, T init, F f);
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6280)
Let U be decay_t<invoke_result_t<F&, T, iter_reference_t<I>>>[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6283)
*Effects*: Equivalent to:if (first == last)return {std::move(first), U(std::move(init))};
U accum = invoke(f, std::move(init), *first);for (++first; first != last; ++first) accum = invoke(f, std::move(accum), *first);return {std::move(first), std::move(accum)};
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6295)
*Remarks*: The return type isfold_left_with_iter_result<I, U> for the first overload andfold_left_with_iter_result<borrowed_iterator_t<R>, U> for the second overload[.](#8.sentence-1)
[🔗](#lib:fold_left_first_with_iter)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S,
[indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<iter_value_t<I>, I> F>
requires [constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<iter_value_t<I>, iter_reference_t<I>>
constexpr see below ranges::fold_left_first_with_iter(I first, S last, F f);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [indirectly-binary-left-foldable](algorithm.syn#concept:indirectly-binary-left-foldable "26.4Header <algorithm> synopsis[algorithm.syn]")<range_value_t<R>, iterator_t<R>> F>
requires [constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<range_value_t<R>, range_reference_t<R>>
constexpr see below ranges::fold_left_first_with_iter(R&& r, F f);
`
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6315)
Let U bedecltype(ranges::fold_left(std::move(first), last, iter_value_t<I>(*first), f))
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6321)
*Effects*: Equivalent to:if (first == last)return {std::move(first), optional<U>()};
optional<U> init(in_place, *first);for (++first; first != last; ++first)*init = invoke(f, std::move(*init), *first);return {std::move(first), std::move(init)};
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6333)
*Remarks*: The return type isfold_left_first_with_iter_result<I, optional<U>> for the first overload andfold_left_first_with_iter_result<borrowed_iterator_t<R>, optional<U>> for the second overload[.](#11.sentence-1)

435
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[alg.foreach]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.foreach)
### 26.6.5 For each [alg.foreach]
[🔗](#lib:for_each)
`template<class InputIterator, class Function>
constexpr Function for_each(InputIterator first, InputIterator last, Function f);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4616)
*Preconditions*: Function meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements"))[.](#1.sentence-1)
[*Note [1](#note-1)*:
Function need not meet the requirements of[*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [32](utility.arg.requirements#tab:cpp17.copyconstructible "Table 32: Cpp17CopyConstructible requirements (in addition to Cpp17MoveConstructible)"))[.](#1.sentence-2)
— *end note*]
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4625)
*Effects*: Applies f to the result of dereferencing
every iterator in the range [first, last),
starting from first and proceeding to last - 1[.](#2.sentence-1)
[*Note [2](#note-2)*:
If the type of first meets the requirements of a mutable iterator,f can apply non-constant functions through the dereferenced iterator[.](#2.sentence-2)
— *end note*]
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4635)
*Returns*: f[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4639)
*Complexity*: Applies f exactly last - first times[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4643)
*Remarks*: If f returns a result, the result is ignored[.](#5.sentence-1)
[🔗](#lib:for_each_)
`template<class ExecutionPolicy, class ForwardIterator, class Function>
void for_each(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Function f);
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4657)
*Preconditions*: Function meets the [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4661)
*Effects*: Applies f to the result of dereferencing
every iterator in the range [first, last)[.](#7.sentence-1)
[*Note [3](#note-3)*:
If the type of first meets the requirements of a mutable iterator,f can apply non-constant functions through the dereferenced iterator[.](#7.sentence-2)
— *end note*]
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4670)
*Complexity*: Applies f exactly last - first times[.](#8.sentence-1)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4674)
*Remarks*: If f returns a result, the result is ignored[.](#9.sentence-1)
Implementations do not have
the freedom granted under [[algorithms.parallel.exec]](algorithms.parallel.exec "26.3.3Effect of execution policies on algorithm execution") to make arbitrary copies of elements from the input sequence[.](#9.sentence-2)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4681)
[*Note [4](#note-4)*:
Does not return a copy of its Function parameter,
since parallelization often does not permit efficient state accumulation[.](#10.sentence-1)
— *end note*]
[🔗](#lib:for_each__)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirectly_unary_invocable](indirectcallable.indirectinvocable#concept:indirectly_unary_invocable "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Fun>
constexpr ranges::for_each_result<I, Fun>
ranges::for_each(I first, S last, Fun f, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirectly_unary_invocable](indirectcallable.indirectinvocable#concept:indirectly_unary_invocable "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Fun>
constexpr ranges::for_each_result<borrowed_iterator_t<R>, Fun>
ranges::for_each(R&& r, Fun f, Proj proj = {});
`
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4701)
*Effects*: Calls invoke(f, invoke(proj, *i)) for every iterator i in the range [first, last),
starting from first and proceeding to last - 1[.](#11.sentence-1)
[*Note [5](#note-5)*:
If the result of invoke(proj, *i) is a mutable reference,f can apply non-constant functions[.](#11.sentence-2)
— *end note*]
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4711)
*Returns*: {last, std::move(f)}[.](#12.sentence-1)
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4715)
*Complexity*: Applies f and proj exactly last - first times[.](#13.sentence-1)
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4719)
*Remarks*: If f returns a result, the result is ignored[.](#14.sentence-1)
[15](#15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4723)
[*Note [6](#note-6)*:
The overloads in namespace ranges requireFun to model [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]")[.](#15.sentence-1)
— *end note*]
[🔗](#itemdecl:4)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirectly_unary_invocable](indirectcallable.indirectinvocable#concept:indirectly_unary_invocable "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Fun>
I ranges::for_each(Ep&& exec, I first, S last, Fun f, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirectly_unary_invocable](indirectcallable.indirectinvocable#concept:indirectly_unary_invocable "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Fun>
borrowed_iterator_t<R>
ranges::for_each(Ep&& exec, R&& r, Fun f, Proj proj = {});
`
[16](#16)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4742)
*Effects*: Calls invoke(f, invoke(proj, *i)) for every iterator i in the range [first, last)[.](#16.sentence-1)
[*Note [7](#note-7)*:
If the result of invoke(proj, *i) is a mutable reference,f can apply non-constant functions[.](#16.sentence-2)
— *end note*]
[17](#17)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4752)
*Returns*: last[.](#17.sentence-1)
[18](#18)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4756)
*Complexity*: Applies f and proj exactly last - first times[.](#18.sentence-1)
[19](#19)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4760)
*Remarks*:
- [(19.1)](#19.1)
If f returns a result, the result is ignored[.](#19.1.sentence-1)
- [(19.2)](#19.2)
Implementations do not have the freedom granted under [[algorithms.parallel.exec]](algorithms.parallel.exec "26.3.3Effect of execution policies on algorithm execution") to make arbitrary copies of elements from the input sequence[.](#19.2.sentence-1)
- [(19.3)](#19.3)
f may modify objects via its arguments ([[algorithms.parallel.user]](algorithms.parallel.user "26.3.2Requirements on user-provided function objects"))[.](#19.3.sentence-1)
[*Note [8](#note-8)*:
Does not return a copy of its Fun parameter,
since parallelization often does not permit
efficient state accumulation[.](#19.sentence-2)
— *end note*]
[🔗](#lib:for_each_n)
`template<class InputIterator, class Size, class Function>
constexpr InputIterator for_each_n(InputIterator first, Size n, Function f);
`
[20](#20)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4785)
*Mandates*: The type Size is convertible
to an integral type ([[conv.integral]](conv.integral "7.3.9Integral conversions"), [[class.conv]](class.conv "11.4.8Conversions"))[.](#20.sentence-1)
[21](#21)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4790)
*Preconditions*: n >= 0 is true[.](#21.sentence-1)
Function meets the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#21.sentence-2)
[*Note [9](#note-9)*:
Function need not meet
the requirements of [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]")[.](#21.sentence-3)
— *end note*]
[22](#22)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4799)
*Effects*: Applies f to the result of dereferencing
every iterator in the range [first, first + n) in order[.](#22.sentence-1)
[*Note [10](#note-10)*:
If the type of first meets the requirements of a mutable iterator,f can apply non-constant functions through the dereferenced iterator[.](#22.sentence-2)
— *end note*]
[23](#23)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4808)
*Returns*: first + n[.](#23.sentence-1)
[24](#24)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4812)
*Remarks*: If f returns a result, the result is ignored[.](#24.sentence-1)
[🔗](#lib:for_each_n_)
`template<class ExecutionPolicy, class ForwardIterator, class Size, class Function>
ForwardIterator for_each_n(ExecutionPolicy&& exec, ForwardIterator first, Size n,
Function f);
`
[25](#25)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4825)
*Mandates*: The type Size is convertible
to an integral type ([[conv.integral]](conv.integral "7.3.9Integral conversions"), [[class.conv]](class.conv "11.4.8Conversions"))[.](#25.sentence-1)
[26](#26)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4830)
*Preconditions*: n >= 0 is true[.](#26.sentence-1)
Function meets the [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#26.sentence-2)
[27](#27)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4835)
*Effects*: Applies f to the result of dereferencing
every iterator in the range [first, first + n)[.](#27.sentence-1)
[*Note [11](#note-11)*:
If the type of first meets the requirements of a mutable iterator,f can apply non-constant functions through the dereferenced iterator[.](#27.sentence-2)
— *end note*]
[28](#28)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4844)
*Returns*: first + n[.](#28.sentence-1)
[29](#29)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4848)
*Remarks*: If f returns a result, the result is ignored[.](#29.sentence-1)
Implementations do not have
the freedom granted under [[algorithms.parallel.exec]](algorithms.parallel.exec "26.3.3Effect of execution policies on algorithm execution") to make arbitrary copies of elements from the input sequence[.](#29.sentence-2)
[🔗](#lib:for_each_n__)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, class Proj = identity,
[indirectly_unary_invocable](indirectcallable.indirectinvocable#concept:indirectly_unary_invocable "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Fun>
constexpr ranges::for_each_n_result<I, Fun>
ranges::for_each_n(I first, iter_difference_t<I> n, Fun f, Proj proj = {});
`
[30](#30)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4865)
*Preconditions*: n >= 0 is true[.](#30.sentence-1)
[31](#31)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4869)
*Effects*: Calls invoke(f, invoke(proj, *i)) for every iterator i in the range
[first, first + n) in order[.](#31.sentence-1)
[*Note [12](#note-12)*:
If the result of invoke(proj, *i) is a mutable reference,f can apply non-constant functions[.](#31.sentence-2)
— *end note*]
[32](#32)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4879)
*Returns*: {first + n, std::move(f)}[.](#32.sentence-1)
[33](#33)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4883)
*Remarks*: If f returns a result, the result is ignored[.](#33.sentence-1)
[34](#34)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4887)
[*Note [13](#note-13)*:
The overload in namespace ranges requires Fun to model [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]")[.](#34.sentence-1)
— *end note*]
[🔗](#itemdecl:8)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, class Proj = identity,
[indirectly_unary_invocable](indirectcallable.indirectinvocable#concept:indirectly_unary_invocable "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Fun>
I ranges::for_each_n(Ep&& exec, I first, iter_difference_t<I> n, Fun f, Proj proj = {});
`
[35](#35)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4901)
*Preconditions*: n >= 0 is true[.](#35.sentence-1)
[36](#36)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4905)
*Effects*: Calls invoke(f, invoke(proj, *i)) for every iterator i in the range [first, first + n)[.](#36.sentence-1)
[*Note [14](#note-14)*:
If the result of invoke(proj, *i) is a mutable reference,f can apply non-constant functions[.](#36.sentence-2)
— *end note*]
[37](#37)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4915)
*Returns*: first + n[.](#37.sentence-1)
[38](#38)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4919)
*Remarks*:
- [(38.1)](#38.1)
If f returns a result, the result is ignored[.](#38.1.sentence-1)
- [(38.2)](#38.2)
Implementations do not have the freedom granted under [[algorithms.parallel.exec]](algorithms.parallel.exec "26.3.3Effect of execution policies on algorithm execution") to make arbitrary copies of elements from the input sequence[.](#38.2.sentence-1)
- [(38.3)](#38.3)
f may modify objects via its arguments ([[algorithms.parallel.user]](algorithms.parallel.user "26.3.2Requirements on user-provided function objects"))[.](#38.3.sentence-1)
[*Note [15](#note-15)*:
Does not return a copy of its Fun parameter,
since parallelization often does not permit
efficient state accumulation[.](#38.sentence-2)
— *end note*]

50
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[alg.func.obj]
# 16 Library introduction [[library]](./#library)
## 16.3 Method of description [[description]](description#alg.func.obj)
### 16.3.3 Other conventions [[conventions]](conventions#alg.func.obj)
#### 16.3.3.4 Algorithm function objects [alg.func.obj]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/lib-intro.tex#L895)
An [*algorithm function object*](#def:algorithm_function_object "16.3.3.4Algorithm function objects[alg.func.obj]") is
a customization point object ([[customization.point.object]](customization.point.object "16.3.3.3.5Customization Point Object types"))
that is specified as one or more overloaded function templates[.](#1.sentence-1)
The name of these function templates designates
the corresponding algorithm function object[.](#1.sentence-2)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/lib-intro.tex#L902)
For an algorithm function object o,
let S be the corresponding set of function templates[.](#2.sentence-1)
Then for any sequence of arguments args …,o(args …) is expression-equivalent tos(args …),
where the result of name lookup for s is the overload set S[.](#2.sentence-2)
[*Note [1](#note-1)*:
Algorithm function objects are not found by
argument-dependent name lookup ([[basic.lookup.argdep]](basic.lookup.argdep "6.5.4Argument-dependent name lookup"))[.](#2.sentence-3)
When found by unqualified name lookup ([[basic.lookup.unqual]](basic.lookup.unqual "6.5.3Unqualified name lookup"))
for the [*postfix-expression*](expr.post.general#nt:postfix-expression "7.6.1.1General[expr.post.general]") in a function call ([[expr.call]](expr.call "7.6.1.3Function call")),
they inhibit argument-dependent name lookup[.](#2.sentence-4)
[*Example [1](#example-1)*: void foo() {using namespace std::ranges;
std::vector<int> vec{1,2,3};
find(begin(vec), end(vec), 2); // #1}
The function call expression at #1 invokes std::ranges::find,
not std::find[.](#2.sentence-5)
— *end example*]
— *end note*]

83
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[alg.generate]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.generate)
### 26.7.7 Generate [alg.generate]
[🔗](#lib:generate)
`template<class ForwardIterator, class Generator>
constexpr void generate(ForwardIterator first, ForwardIterator last,
Generator gen);
template<class ExecutionPolicy, class ForwardIterator, class Generator>
void generate(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Generator gen);
template<class OutputIterator, class Size, class Generator>
constexpr OutputIterator generate_n(OutputIterator first, Size n, Generator gen);
template<class ExecutionPolicy, class ForwardIterator, class Size, class Generator>
ForwardIterator generate_n(ExecutionPolicy&& exec,
ForwardIterator first, Size n, Generator gen);
template<[input_or_output_iterator](iterator.concept.iterator#concept:input_or_output_iterator "24.3.4.6Concept input_­or_­output_­iterator[iterator.concept.iterator]") O, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<O> S, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<F&> && [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, invoke_result_t<F&>>
constexpr O ranges::generate(O first, S last, F gen);
template<class R, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<F&> && [output_range](range.refinements#concept:output_range "25.4.6Other range refinements[range.refinements]")<R, invoke_result_t<F&>>
constexpr borrowed_iterator_t<R> ranges::generate(R&& r, F gen);
template<[input_or_output_iterator](iterator.concept.iterator#concept:input_or_output_iterator "24.3.4.6Concept input_­or_­output_­iterator[iterator.concept.iterator]") O, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<F&> && [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, invoke_result_t<F&>>
constexpr O ranges::generate_n(O first, iter_difference_t<O> n, F gen);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> S,
[copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<F&> && [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, invoke_result_t<F&>>
O ranges::generate(Ep&& exec, O first, S last, F gen);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<F&> && [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<R>, invoke_result_t<F&>>
borrowed_iterator_t<R> ranges::generate(Ep&& exec, R&& r, F gen);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<F&> && [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, invoke_result_t<F&>>
O ranges::generate_n(Ep&& exec, O first, iter_difference_t<O> n, F gen);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7499)
Let N be max(0, n) for the generate_n algorithms, andlast - first for the generate algorithms[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7503)
*Mandates*: Size is convertible
to an integral type ([[conv.integral]](conv.integral "7.3.9Integral conversions"), [[class.conv]](class.conv "11.4.8Conversions"))[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7508)
*Effects*: Assigns the result of successive evaluations of gen() through each iterator in the range [first, first + N)[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7513)
*Returns*: first + N[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7517)
*Complexity*: Exactly N evaluations of gen() and assignments[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7521)
*Remarks*: gen may modify objects via its arguments
for parallel algorithm overloads ([[algorithms.parallel.user]](algorithms.parallel.user "26.3.2Requirements on user-provided function objects"))[.](#6.sentence-1)

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@@ -0,0 +1,417 @@
[alg.heap.operations]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.heap.operations)
### 26.8.8 Heap operations [alg.heap.operations]
#### [26.8.8.1](#general) General [[alg.heap.operations.general]](alg.heap.operations.general)
[1](#general-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10877)
A random access range [a, b) is a[*heap with respect to comp and proj*](#def:heap_with_respect_to_comp_and_proj "26.8.8.1General[alg.heap.operations.general]") for a comparator and projection comp and proj if its elements are organized such that:
- [(1.1)](#general-1.1)
With N = b - a, for all i, 0<i<N, bool(invoke(comp, invoke(proj, a[⌊ˆ’12⌋]), invoke(proj, a[i]))) is false[.](#general-1.1.sentence-1)
- [(1.2)](#general-1.2)
*a may be removed by pop_heap, or
a new element added by push_heap,
in O(logN) time[.](#general-1.2.sentence-1)
[2](#general-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10894)
These properties make heaps useful as priority queues[.](#general-2.sentence-1)
[3](#general-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10897)
make_heap converts a range into a heap andsort_heap turns a heap into a sorted sequence[.](#general-3.sentence-1)
#### [26.8.8.2](#push.heap) push_heap [[push.heap]](push.heap)
[🔗](#lib:push_heap)
`template<class RandomAccessIterator>
constexpr void push_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void push_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I
ranges::push_heap(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::push_heap(R&& r, Comp comp = {}, Proj proj = {});
`
[1](#push.heap-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10924)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#push.heap-1.sentence-1)
[2](#push.heap-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10929)
*Preconditions*: The range [first, last - 1)
is a valid heap with respect to comp and proj[.](#push.heap-2.sentence-1)
For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and
the [*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements"))[.](#push.heap-2.sentence-2)
[3](#push.heap-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10940)
*Effects*: Places the value in the location last - 1 into the resulting heap [first, last)[.](#push.heap-3.sentence-1)
[4](#push.heap-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10945)
*Returns*: last for the overloads in namespace ranges[.](#push.heap-4.sentence-1)
[5](#push.heap-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10949)
*Complexity*: At most log(last - first) comparisons and twice as many projections[.](#push.heap-5.sentence-1)
#### [26.8.8.3](#pop.heap) pop_heap [[pop.heap]](pop.heap)
[🔗](#lib:pop_heap)
`template<class RandomAccessIterator>
constexpr void pop_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void pop_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I
ranges::pop_heap(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::pop_heap(R&& r, Comp comp = {}, Proj proj = {});
`
[1](#pop.heap-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10977)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#pop.heap-1.sentence-1)
[2](#pop.heap-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10982)
*Preconditions*: The range [first, last)
is a valid non-empty heap with respect to comp and proj[.](#pop.heap-2.sentence-1)
For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#pop.heap-2.sentence-2)
[3](#pop.heap-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10993)
*Effects*: Swaps the value in the location first with the value in the locationlast - 1 and makes
[first, last - 1)
into a heap with respect to comp and proj[.](#pop.heap-3.sentence-1)
[4](#pop.heap-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11002)
*Returns*: last for the overloads in namespace ranges[.](#pop.heap-4.sentence-1)
[5](#pop.heap-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11006)
*Complexity*: At most 2log(last - first) comparisons and
twice as many projections[.](#pop.heap-5.sentence-1)
#### [26.8.8.4](#make.heap) make_heap [[make.heap]](make.heap)
[🔗](#lib:make_heap)
`template<class RandomAccessIterator>
constexpr void make_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void make_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I
ranges::make_heap(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::make_heap(R&& r, Comp comp = {}, Proj proj = {});
`
[1](#make.heap-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11035)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#make.heap-1.sentence-1)
[2](#make.heap-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11040)
*Preconditions*: For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#make.heap-2.sentence-1)
[3](#make.heap-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11049)
*Effects*: Constructs a heap with respect to comp and proj out of the range [first, last)[.](#make.heap-3.sentence-1)
[4](#make.heap-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11054)
*Returns*: last for the overloads in namespace ranges[.](#make.heap-4.sentence-1)
[5](#make.heap-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11058)
*Complexity*: At most 3(last - first) comparisons and twice as many projections[.](#make.heap-5.sentence-1)
#### [26.8.8.5](#sort.heap) sort_heap [[sort.heap]](sort.heap)
[🔗](#lib:sort_heap)
`template<class RandomAccessIterator>
constexpr void sort_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void sort_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I
ranges::sort_heap(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::sort_heap(R&& r, Comp comp = {}, Proj proj = {});
`
[1](#sort.heap-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11086)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#sort.heap-1.sentence-1)
[2](#sort.heap-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11091)
*Preconditions*: The range [first, last) is
a valid heap with respect to comp and proj[.](#sort.heap-2.sentence-1)
For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#sort.heap-2.sentence-2)
[3](#sort.heap-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11102)
*Effects*: Sorts elements in the heap [first, last)
with respect to comp and proj[.](#sort.heap-3.sentence-1)
[4](#sort.heap-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11107)
*Returns*: last for the overloads in namespace ranges[.](#sort.heap-4.sentence-1)
[5](#sort.heap-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11111)
*Complexity*: At most 2NlogN comparisons, where N=last - first, and
twice as many projections[.](#sort.heap-5.sentence-1)
#### [26.8.8.6](#is.heap) is_heap [[is.heap]](is.heap)
[🔗](#lib:is_heap)
`template<class RandomAccessIterator>
constexpr bool is_heap(RandomAccessIterator first, RandomAccessIterator last);
`
[1](#is.heap-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11126)
*Effects*: Equivalent to: return is_heap_until(first, last) == last;
[🔗](#lib:is_heap_)
`template<class ExecutionPolicy, class RandomAccessIterator>
bool is_heap(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last);
`
[2](#is.heap-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11139)
*Effects*: Equivalent to:return is_heap_until(std::forward<ExecutionPolicy>(exec), first, last) == last;
[🔗](#lib:is_heap__)
`template<class RandomAccessIterator, class Compare>
constexpr bool is_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
`
[3](#is.heap-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11155)
*Effects*: Equivalent to: return is_heap_until(first, last, comp) == last;
[🔗](#lib:is_heap___)
`template<class ExecutionPolicy, class RandomAccessIterator, class Compare>
bool is_heap(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
`
[4](#is.heap-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11169)
*Effects*: Equivalent to:return is_heap_until(std::forward<ExecutionPolicy>(exec), first, last, comp) == last;
[🔗](#lib:is_heap____)
`template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
constexpr bool ranges::is_heap(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
constexpr bool ranges::is_heap(R&& r, Comp comp = {}, Proj proj = {});
`
[5](#is.heap-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11188)
*Effects*: Equivalent to:return ranges::is_heap_until(first, last, comp, proj) == last;
[🔗](#is.heap-itemdecl:6)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
bool ranges::is_heap(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
bool ranges::is_heap(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[6](#is.heap-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11205)
*Effects*: Equivalent to:return ranges::is_heap_until(std::forward<Ep>(exec), first, last, comp, proj) == last;
[🔗](#lib:is_heap_until)
`template<class RandomAccessIterator>
constexpr RandomAccessIterator
is_heap_until(RandomAccessIterator first, RandomAccessIterator last);
template<class ExecutionPolicy, class RandomAccessIterator>
RandomAccessIterator
is_heap_until(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr RandomAccessIterator
is_heap_until(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<class ExecutionPolicy, class RandomAccessIterator, class Compare>
RandomAccessIterator
is_heap_until(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
constexpr I ranges::is_heap_until(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
constexpr borrowed_iterator_t<R>
ranges::is_heap_until(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
I ranges::is_heap_until(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
borrowed_iterator_t<R>
ranges::is_heap_until(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[7](#is.heap-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11252)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#is.heap-7.sentence-1)
[8](#is.heap-8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11257)
*Returns*: The last iterator i in [first, last]
for which the range [first, i)
is a heap with respect to comp and proj[.](#is.heap-8.sentence-1)
[9](#is.heap-9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11263)
*Complexity*: Linear[.](#is.heap-9.sentence-1)

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@@ -0,0 +1,37 @@
[alg.heap.operations.general]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.heap.operations.general)
### 26.8.8 Heap operations [[alg.heap.operations]](alg.heap.operations#general)
#### 26.8.8.1 General [alg.heap.operations.general]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10877)
A random access range [a, b) is a[*heap with respect to comp and proj*](#def:heap_with_respect_to_comp_and_proj "26.8.8.1General[alg.heap.operations.general]") for a comparator and projection comp and proj if its elements are organized such that:
- [(1.1)](#1.1)
With N = b - a, for all i, 0<i<N, bool(invoke(comp, invoke(proj, a[⌊ˆ’12⌋]), invoke(proj, a[i]))) is false[.](#1.1.sentence-1)
- [(1.2)](#1.2)
*a may be removed by pop_heap, or
a new element added by push_heap,
in O(logN) time[.](#1.2.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10894)
These properties make heaps useful as priority queues[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10897)
make_heap converts a range into a heap andsort_heap turns a heap into a sorted sequence[.](#3.sentence-1)

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@@ -0,0 +1,127 @@
[alg.is.permutation]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.is.permutation)
### 26.6.14 Is permutation [alg.is.permutation]
[🔗](#lib:is_permutation)
`template<class ForwardIterator1, class ForwardIterator2>
constexpr bool is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2);
template<class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
constexpr bool is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, BinaryPredicate pred);
template<class ForwardIterator1, class ForwardIterator2>
constexpr bool is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
constexpr bool is_permutation(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5722)
Let last2 be first2 + (last1 - first1) for the overloads with no parameter named last2,
and let pred be equal_to{} for the overloads with no parameter pred[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5728)
*Mandates*: ForwardIterator1 and ForwardIterator2 have the same value type[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5732)
*Preconditions*: The comparison function is an equivalence relation[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5736)
*Returns*: If last1 - first1 != last2 - first2, return false[.](#4.sentence-1)
Otherwise return true if there exists a permutation of the elements
in the range [first2, last2),
beginning with ForwardIterator2 begin,
such that equal(first1, last1, begin, pred) returns true;
otherwise, returns false[.](#4.sentence-2)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5746)
*Complexity*: No applications of the corresponding predicate
if ForwardIterator1 and ForwardIterator2 meet the requirements of random access iterators andlast1 - first1 != last2 - first2[.](#5.sentence-1)
Otherwise, exactly last1 - first1 applications
of the corresponding predicate
if equal(first1, last1, first2, last2, pred) would return true;
otherwise, at worst O(N2), where N has the value last1 - first1[.](#5.sentence-2)
[🔗](#lib:is_permutation_)
`template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I2,
[sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2, class Proj1 = identity, class Proj2 = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I1, Proj1>,
projected<I2, Proj2>> Pred = ranges::equal_to>
constexpr bool ranges::is_permutation(I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R1, [forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R2,
class Proj1 = identity, class Proj2 = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>> Pred = ranges::equal_to>
constexpr bool ranges::is_permutation(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5776)
*Returns*: If last1 - first1 != last2 - first2, return false[.](#6.sentence-1)
Otherwise return true if there exists a permutation of the elements
in the range [first2, last2), bounded by [pfirst, plast),
such thatranges::equal(first1, last1, pfirst, plast, pred, proj1, proj2) returns true;
otherwise, returns false[.](#6.sentence-2)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5786)
*Complexity*: No applications of the corresponding predicate and projections if
- [(7.1)](#7.1)
for the first overload,
* [(7.1.1)](#7.1.1)
S1 and I1 model [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<S1, I1>,
* [(7.1.2)](#7.1.2)
S2 and I2 model [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<S2, I2>, and
* [(7.1.3)](#7.1.3)
last1 - first1 != last2 - first2;
- [(7.2)](#7.2)
for the second overload,R1 and R2 each model [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]"), andranges::distance(r1) != ranges::distance(r2)[.](#7.sentence-1)
Otherwise, exactly last1 - first1 applications
of the corresponding predicate and projections
if ranges::equal(first1, last1, first2, last2, pred, proj1, proj2) would return true;
otherwise, at worst O(N2), where N has the value last1 - first1[.](#7.sentence-2)

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@@ -0,0 +1,114 @@
[alg.lex.comparison]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.lex.comparison)
### 26.8.11 Lexicographical comparison [alg.lex.comparison]
[🔗](#lib:lexicographical_compare)
`template<class InputIterator1, class InputIterator2>
constexpr bool
lexicographical_compare(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
bool
lexicographical_compare(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class InputIterator1, class InputIterator2, class Compare>
constexpr bool
lexicographical_compare(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
Compare comp);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class Compare>
bool
lexicographical_compare(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Proj1 = identity, class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I1, Proj1>,
projected<I2, Proj2>> Comp = ranges::less>
constexpr bool
ranges::lexicographical_compare(I1 first1, S1 last1, I2 first2, S2 last2,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, class Proj1 = identity,
class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>> Comp = ranges::less>
constexpr bool
ranges::lexicographical_compare(R1&& r1, R2&& r2, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Proj1 = identity, class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I1, Proj1>,
projected<I2, Proj2>> Comp = ranges::less>
bool ranges::lexicographical_compare(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Proj1 = identity, class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>> Comp = ranges::less>
bool ranges::lexicographical_compare(Ep&& exec, R1&& r1, R2&& r2, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11801)
*Returns*: true if and only if
the sequence of elements defined by the range [first1, last1)
is lexicographically less than
the sequence of elements defined by the range [first2, last2)[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11808)
*Complexity*: At most 2 min(last1 - first1, last2 - first2) applications
of the corresponding comparison and each projection, if any[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11813)
*Remarks*: If two sequences have the same number of elements and
their corresponding elements (if any) are equivalent,
then neither sequence is lexicographically less than the other[.](#3.sentence-1)
If one sequence is a proper prefix of the other,
then the shorter sequence is lexicographically less than the longer sequence[.](#3.sentence-2)
Otherwise, the lexicographical comparison of the sequences yields
the same result as the comparison
of the first corresponding pair of elements that are not equivalent[.](#3.sentence-3)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11824)
[*Example [1](#example-1)*:
ranges::lexicographical_compare(I1, S1, I2, S2, Comp, Proj1, Proj2) can be implemented as:for (; first1 != last1 && first2 != last2; ++first1, (void)++first2) {if (invoke(comp, invoke(proj1, *first1), invoke(proj2, *first2))) return true; if (invoke(comp, invoke(proj2, *first2), invoke(proj1, *first1))) return false;}return first1 == last1 && first2 != last2;
— *end example*]
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11837)
[*Note [1](#note-1)*:
An empty sequence is lexicographically less than any non-empty sequence,
but not less than any empty sequence[.](#5.sentence-1)
— *end note*]

280
cppdraft/alg/merge.md Normal file
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@@ -0,0 +1,280 @@
[alg.merge]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.merge)
### 26.8.6 Merge [alg.merge]
[🔗](#lib:merge)
`template<class InputIterator1, class InputIterator2,
class OutputIterator>
constexpr OutputIterator
merge(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator>
ForwardIterator
merge(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result);
template<class InputIterator1, class InputIterator2,
class OutputIterator, class Compare>
constexpr OutputIterator
merge(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result, Compare comp);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator, class Compare>
ForwardIterator
merge(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result, Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Comp = ranges::less, class Proj1 = identity,
class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
constexpr ranges::merge_result<I1, I2, O>
ranges::merge(I1 first1, S1 last1, I2 first2, S2 last2, O result,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
constexpr ranges::merge_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
ranges::merge(R1&& r1, R2&& r2, O result,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
ranges::merge_result<I1, I2, O>
ranges::merge(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2, O result, OutS result_last,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, iterator_t<OutR>, Comp, Proj1, Proj2>
ranges::merge_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, borrowed_iterator_t<OutR>>
ranges::merge(Ep&& exec, R1&& r1, R2&& r2, OutR&& result_r,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10071)
Let:
- [(1.1)](#1.1)
N be:
* [(1.1.1)](#1.1.1)
(last1 - first1) + (last2 - first2) for the overloads with no parameter result_last or result_r;
* [(1.1.2)](#1.1.2)
min((last1 - first1) + (last2 - first2), result_last - result) for the overloads with parameters result_last or result_r;
- [(1.2)](#1.2)
comp be less{}, proj1 be identity{}, and proj2 be identity{},
for the overloads with no parameters by those names;
- [(1.3)](#1.3)
E(e1, e1) be bool(invoke(comp, invoke(proj2, e2), invoke(proj1, e1)));
- [(1.4)](#1.4)
K be the smallest integer in [0, last1 - first1)
such that for the element e1 in the position first1 + K there are at least N−K elements e2 in [first2, last2) for which E(e1, e1) holds,
and be equal to last1 - first1 if no such integer exists[.](#1.sentence-1)
[*Note [1](#note-1)*:
first1 + K points to the position past the last element to be copied[.](#1.4.sentence-2)
— *end note*]
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10103)
*Preconditions*: The ranges [first1, last1) and [first2, last2)
are sorted with respect to comp and proj1 or proj2,
respectively[.](#2.sentence-1)
The resulting range does not overlap with either of the original ranges[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10110)
*Effects*: Copies the first K elements of the range [first1, last1)
and the first N−K elements of the range [first2, last2)
into the range [result, result + N)[.](#3.sentence-1)
If an element a precedes b in an input range,a is copied into the output range before b[.](#3.sentence-2)
If e1 is an element of [first1, last1) ande2 of [first2, last2),e2 is copied into the output range before e1 if and only if E(e1, e1) is true[.](#3.sentence-3)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10122)
*Returns*:
- [(4.1)](#4.1)
result + N for the overloads in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{first1 + K, first2 + N - K, result + N} for the overloads in namespace ranges[.](#4.2.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10133)
*Complexity*:
- [(5.1)](#5.1)
For the non-parallel algorithm overloads,
at most N−1 comparisons and applications of each projection[.](#5.1.sentence-1)
- [(5.2)](#5.2)
For the parallel algorithm overloads, O(N) comparisons and applications of each projection[.](#5.2.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10144)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#6.sentence-1)
[🔗](#lib:inplace_merge)
`template<class BidirectionalIterator>
constexpr void inplace_merge(BidirectionalIterator first,
BidirectionalIterator middle,
BidirectionalIterator last);
template<class ExecutionPolicy, class BidirectionalIterator>
void inplace_merge(ExecutionPolicy&& exec,
BidirectionalIterator first,
BidirectionalIterator middle,
BidirectionalIterator last);
template<class BidirectionalIterator, class Compare>
constexpr void inplace_merge(BidirectionalIterator first,
BidirectionalIterator middle,
BidirectionalIterator last, Compare comp);
template<class ExecutionPolicy, class BidirectionalIterator, class Compare>
void inplace_merge(ExecutionPolicy&& exec,
BidirectionalIterator first,
BidirectionalIterator middle,
BidirectionalIterator last, Compare comp);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I ranges::inplace_merge(I first, I middle, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
I ranges::inplace_merge(Ep&& exec, I first, I middle, S last, Comp comp = {}, Proj proj = {});
`
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10182)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10187)
*Preconditions*: [first, middle) and [middle, last) are valid ranges
sorted with respect to comp and proj[.](#8.sentence-1)
For the overloads in namespace std,BidirectionalIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#8.sentence-2)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10198)
*Effects*: Merges two sorted consecutive ranges
[first, middle) and [middle, last),
putting the result of the merge into the range [first, last)[.](#9.sentence-1)
The resulting range is sorted with respect to comp and proj[.](#9.sentence-2)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10205)
*Returns*: last for the overload in namespace ranges[.](#10.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10209)
*Complexity*: Let N=last - first:
- [(11.1)](#11.1)
For the non-parallel algorithm overloads, and
if enough additional memory is available, at most N−1 comparisons[.](#11.1.sentence-1)
- [(11.2)](#11.2)
Otherwise, O(NlogN) comparisons[.](#11.2.sentence-1)
In either case, twice as many projections as comparisons[.](#11.sentence-2)
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10221)
*Remarks*: [Stable](algorithm.stable "16.4.6.8Requirements for stable algorithms[algorithm.stable]")[.](#12.sentence-1)
[🔗](#itemdecl:3)
`template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::inplace_merge(R&& r, iterator_t<R> middle, Comp comp = {}, Proj proj = {});
`
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10234)
*Effects*: Equivalent to:return ranges::inplace_merge(ranges::begin(r), middle, ranges::end(r), comp, proj);
[🔗](#itemdecl:4)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
borrowed_iterator_t<R>
ranges::inplace_merge(Ep&& exec, R&& r, iterator_t<R> middle, Comp comp = {},
Proj proj = {});
`
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10252)
*Effects*: Equivalent to:return ranges::inplace_merge(std::forward<Ep>(exec), ranges::begin(r), middle,
ranges::end(r), comp, proj);

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[alg.min.max]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.min.max)
### 26.8.9 Minimum and maximum [alg.min.max]
[🔗](#lib:min)
`template<class T>
constexpr const T& min(const T& a, const T& b);
template<class T, class Compare>
constexpr const T& min(const T& a, const T& b, Compare comp);
template<class T, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<const T*, Proj>> Comp = ranges::less>
constexpr const T& ranges::min(const T& a, const T& b, Comp comp = {}, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11284)
*Preconditions*: For the first form, T meets the[*Cpp17LessThanComparable*](utility.arg.requirements#:Cpp17LessThanComparable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [29](utility.arg.requirements#tab:cpp17.lessthancomparable "Table 29: Cpp17LessThanComparable requirements"))[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11289)
*Returns*: The smaller value[.](#2.sentence-1)
Returns the first argument when the arguments are equivalent[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11294)
*Complexity*: Exactly one comparison and two applications of the projection, if any[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11298)
*Remarks*: An invocation may explicitly specify
an argument for the template parameter T of the overloads in namespace std[.](#4.sentence-1)
[🔗](#lib:min_)
`template<class T>
constexpr T min(initializer_list<T> r);
template<class T, class Compare>
constexpr T min(initializer_list<T> r, Compare comp);
template<[copyable](concepts.object#concept:copyable "18.6Object concepts[concepts.object]") T, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<const T*, Proj>> Comp = ranges::less>
constexpr T ranges::min(initializer_list<T> r, Comp comp = {}, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
requires [indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, range_value_t<R>*>
constexpr range_value_t<R>
ranges::min(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
requires [indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, range_value_t<R>*>
range_value_t<R>
ranges::min(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11328)
*Preconditions*: ranges::distance(r) > 0[.](#5.sentence-1)
For the overloads in namespace std,T meets the [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#5.sentence-2)
For the first form, T meets the [*Cpp17LessThanComparable*](utility.arg.requirements#:Cpp17LessThanComparable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [29](utility.arg.requirements#tab:cpp17.lessthancomparable "Table 29: Cpp17LessThanComparable requirements"))[.](#5.sentence-3)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11336)
*Returns*: The smallest value in the input range[.](#6.sentence-1)
Returns a copy of the leftmost element
when several elements are equivalent to the smallest[.](#6.sentence-2)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11342)
*Complexity*: Exactly ranges::distance(r) - 1 comparisons
and twice as many applications of the projection, if any[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11347)
*Remarks*: An invocation may explicitly specify
an argument for the template parameter T of the overloads in namespace std[.](#8.sentence-1)
[🔗](#lib:max)
`template<class T>
constexpr const T& max(const T& a, const T& b);
template<class T, class Compare>
constexpr const T& max(const T& a, const T& b, Compare comp);
template<class T, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<const T*, Proj>> Comp = ranges::less>
constexpr const T& ranges::max(const T& a, const T& b, Comp comp = {}, Proj proj = {});
`
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11367)
*Preconditions*: For the first form, T meets the[*Cpp17LessThanComparable*](utility.arg.requirements#:Cpp17LessThanComparable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [29](utility.arg.requirements#tab:cpp17.lessthancomparable "Table 29: Cpp17LessThanComparable requirements"))[.](#9.sentence-1)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11372)
*Returns*: The larger value[.](#10.sentence-1)
Returns the first argument when the arguments are equivalent[.](#10.sentence-2)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11377)
*Complexity*: Exactly one comparison and two applications of the projection, if any[.](#11.sentence-1)
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11381)
*Remarks*: An invocation may explicitly specify
an argument for the template parameter T of the overloads in namespace std[.](#12.sentence-1)
[🔗](#lib:max_)
`template<class T>
constexpr T max(initializer_list<T> r);
template<class T, class Compare>
constexpr T max(initializer_list<T> r, Compare comp);
template<[copyable](concepts.object#concept:copyable "18.6Object concepts[concepts.object]") T, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<const T*, Proj>> Comp = ranges::less>
constexpr T ranges::max(initializer_list<T> r, Comp comp = {}, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
requires [indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, range_value_t<R>*>
constexpr range_value_t<R>
ranges::max(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
requires [indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, range_value_t<R>*>
range_value_t<R>
ranges::max(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11411)
*Preconditions*: ranges::distance(r) > 0[.](#13.sentence-1)
For the overloads in namespace std,T meets the [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#13.sentence-2)
For the first form, T meets the [*Cpp17LessThanComparable*](utility.arg.requirements#:Cpp17LessThanComparable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [29](utility.arg.requirements#tab:cpp17.lessthancomparable "Table 29: Cpp17LessThanComparable requirements"))[.](#13.sentence-3)
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11419)
*Returns*: The largest value in the input range[.](#14.sentence-1)
Returns a copy of the leftmost element
when several elements are equivalent to the largest[.](#14.sentence-2)
[15](#15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11425)
*Complexity*: Exactly ranges::distance(r) - 1 comparisons
and twice as many applications of the projection, if any[.](#15.sentence-1)
[16](#16)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11430)
*Remarks*: An invocation may explicitly specify
an argument for the template parameter T of the overloads in namespace std[.](#16.sentence-1)
[🔗](#lib:minmax)
`template<class T>
constexpr pair<const T&, const T&> minmax(const T& a, const T& b);
template<class T, class Compare>
constexpr pair<const T&, const T&> minmax(const T& a, const T& b, Compare comp);
template<class T, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<const T*, Proj>> Comp = ranges::less>
constexpr ranges::minmax_result<const T&>
ranges::minmax(const T& a, const T& b, Comp comp = {}, Proj proj = {});
`
[17](#17)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11452)
*Preconditions*: For the first form, T meets the[*Cpp17LessThanComparable*](utility.arg.requirements#:Cpp17LessThanComparable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [29](utility.arg.requirements#tab:cpp17.lessthancomparable "Table 29: Cpp17LessThanComparable requirements"))[.](#17.sentence-1)
[18](#18)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11457)
*Returns*: {b, a} if b is smaller than a, and{a, b} otherwise[.](#18.sentence-1)
[19](#19)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11462)
*Complexity*: Exactly one comparison and two applications of the projection, if any[.](#19.sentence-1)
[20](#20)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11466)
*Remarks*: An invocation may explicitly specify
an argument for the template parameter T of the overloads in namespace std[.](#20.sentence-1)
[🔗](#lib:minmax_)
`template<class T>
constexpr pair<T, T> minmax(initializer_list<T> t);
template<class T, class Compare>
constexpr pair<T, T> minmax(initializer_list<T> t, Compare comp);
template<[copyable](concepts.object#concept:copyable "18.6Object concepts[concepts.object]") T, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<const T*, Proj>> Comp = ranges::less>
constexpr ranges::minmax_result<T>
ranges::minmax(initializer_list<T> r, Comp comp = {}, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
requires [indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, range_value_t<R>*>
constexpr ranges::minmax_result<range_value_t<R>>
ranges::minmax(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
requires [indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, range_value_t<R>*>
ranges::minmax_result<range_value_t<R>>
ranges::minmax(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[21](#21)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11497)
*Preconditions*: ranges::distance(r) > 0[.](#21.sentence-1)
For the overloads in namespace std,T meets the [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#21.sentence-2)
For the first form, type T meets the [*Cpp17LessThanComparable*](utility.arg.requirements#:Cpp17LessThanComparable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [29](utility.arg.requirements#tab:cpp17.lessthancomparable "Table 29: Cpp17LessThanComparable requirements"))[.](#21.sentence-3)
[22](#22)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11505)
*Returns*: Let X be the return type[.](#22.sentence-1)
Returns X{x, y},
where x is a copy of the leftmost element with the smallest value andy a copy of the rightmost element with the largest value
in the input range[.](#22.sentence-2)
[23](#23)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11513)
*Complexity*: At most (3/2)ranges::distance(r) applications
of the corresponding predicate
and twice as many applications of the projection, if any[.](#23.sentence-1)
[24](#24)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11519)
*Remarks*: An invocation may explicitly specify
an argument for the template parameter T of the overloads in namespace std[.](#24.sentence-1)
[🔗](#lib:min_element)
`template<class ForwardIterator>
constexpr ForwardIterator min_element(ForwardIterator first, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator min_element(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
template<class ForwardIterator, class Compare>
constexpr ForwardIterator min_element(ForwardIterator first, ForwardIterator last,
Compare comp);
template<class ExecutionPolicy, class ForwardIterator, class Compare>
ForwardIterator min_element(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last, Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
constexpr I ranges::min_element(I first, S last, Comp comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
constexpr borrowed_iterator_t<R>
ranges::min_element(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
I ranges::min_element(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
borrowed_iterator_t<R>
ranges::min_element(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[25](#25)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11562)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#25.sentence-1)
[26](#26)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11567)
*Returns*: The first iterator i in the range [first, last)
such that for every iterator j in the range [first, last),bool(invoke(comp, invoke(proj, *j), invoke(proj, *i))) is false[.](#26.sentence-1)
Returns last if first == last[.](#26.sentence-2)
[27](#27)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11577)
*Complexity*: Exactly max(last - first - 1,0) comparisons and
twice as many projections[.](#27.sentence-1)
[🔗](#lib:max_element)
`template<class ForwardIterator>
constexpr ForwardIterator max_element(ForwardIterator first, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator max_element(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
template<class ForwardIterator, class Compare>
constexpr ForwardIterator max_element(ForwardIterator first, ForwardIterator last,
Compare comp);
template<class ExecutionPolicy, class ForwardIterator, class Compare>
ForwardIterator max_element(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
constexpr I ranges::max_element(I first, S last, Comp comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
constexpr borrowed_iterator_t<R>
ranges::max_element(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
I ranges::max_element(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
borrowed_iterator_t<R>
ranges::max_element(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[28](#28)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11619)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#28.sentence-1)
[29](#29)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11624)
*Returns*: The first iterator i in the range [first, last)
such that for every iterator j in the range [first, last),bool(invoke(comp, invoke(proj, *i), invoke(proj, *j))) is false[.](#29.sentence-1)
Returns last if first == last[.](#29.sentence-2)
[30](#30)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11634)
*Complexity*: Exactly max(last - first - 1,0) comparisons and
twice as many projections[.](#30.sentence-1)
[🔗](#lib:minmax_element)
`template<class ForwardIterator>
constexpr pair<ForwardIterator, ForwardIterator>
minmax_element(ForwardIterator first, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
pair<ForwardIterator, ForwardIterator>
minmax_element(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
template<class ForwardIterator, class Compare>
constexpr pair<ForwardIterator, ForwardIterator>
minmax_element(ForwardIterator first, ForwardIterator last, Compare comp);
template<class ExecutionPolicy, class ForwardIterator, class Compare>
pair<ForwardIterator, ForwardIterator>
minmax_element(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last, Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
constexpr ranges::minmax_element_result<I>
ranges::minmax_element(I first, S last, Comp comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
constexpr ranges::minmax_element_result<borrowed_iterator_t<R>>
ranges::minmax_element(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
ranges::minmax_element_result<I>
ranges::minmax_element(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
ranges::minmax_element_result<borrowed_iterator_t<R>>
ranges::minmax_element(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[31](#31)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11680)
*Returns*: {first, first} if [first, last) is empty, otherwise{m, M}, where m is
the first iterator in [first, last) such that no iterator in the range refers
to a smaller element, and where M is the last iterator[204](#footnote-204 "This behavior intentionally differs from max_­element.") in [first, last) such that no iterator in the range refers to a larger element[.](#31.sentence-1)
[32](#32)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11692)
*Complexity*: Let N be last - first[.](#32.sentence-1)
At most max(⌊32(N−1)⌋,0) comparisons and
twice as many applications of the projection, if any[.](#32.sentence-2)
[204)](#footnote-204)[204)](#footnoteref-204)
This behavior
intentionally differs from max_element[.](#footnote-204.sentence-1)

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[alg.mismatch]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.mismatch)
### 26.6.12 Mismatch [alg.mismatch]
[🔗](#lib:mismatch)
`template<class InputIterator1, class InputIterator2>
constexpr pair<InputIterator1, InputIterator2>
mismatch(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
pair<ForwardIterator1, ForwardIterator2>
mismatch(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2);
template<class InputIterator1, class InputIterator2,
class BinaryPredicate>
constexpr pair<InputIterator1, InputIterator2>
mismatch(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
pair<ForwardIterator1, ForwardIterator2>
mismatch(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, BinaryPredicate pred);
template<class InputIterator1, class InputIterator2>
constexpr pair<InputIterator1, InputIterator2>
mismatch(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
pair<ForwardIterator1, ForwardIterator2>
mismatch(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class InputIterator1, class InputIterator2,
class BinaryPredicate>
constexpr pair<InputIterator1, InputIterator2>
mismatch(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
pair<ForwardIterator1, ForwardIterator2>
mismatch(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr ranges::mismatch_result<I1, I2>
ranges::mismatch(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr ranges::mismatch_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
ranges::mismatch(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
ranges::mismatch_result<I1, I2>
ranges::mismatch(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
ranges::mismatch_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
ranges::mismatch(Ep&& exec, R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5543)
Let last2 be first2 + (last1 - first1) for the overloads in namespace std with no parameter last2[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5547)
Let E be:
- [(2.1)](#2.1)
!(*(first1 + n) == *(first2 + n)) for the overloads with no parameter pred;
- [(2.2)](#2.2)
pred(*(first1 + n), *(first2 + n)) == false for the overloads with a parameter pred and
no parameter proj1;
- [(2.3)](#2.3)
!invoke(pred, invoke(proj1, *(first1 + n)), invoke(proj2, *(first2 + n))) for the overloads with both parameters pred and proj1[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5563)
Let N be min(last1 - first1, last2 - first2)[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5566)
*Returns*: { first1 + n, first2 + n },
where n is the smallest integer in [0, N) such that E holds,
or N if no such integer exists[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5572)
*Complexity*: At most N applications of the corresponding predicate and any projections[.](#5.sentence-1)

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[alg.move]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.move)
### 26.7.2 Move [alg.move]
[🔗](#lib:move,algorithm)
`template<class InputIterator, class OutputIterator>
constexpr OutputIterator move(InputIterator first, InputIterator last,
OutputIterator result);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_movable](alg.req.ind.move#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<I, O>
constexpr ranges::move_result<I, O>
ranges::move(I first, S last, O result);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_movable](alg.req.ind.move#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<iterator_t<R>, O>
constexpr ranges::move_result<borrowed_iterator_t<R>, O>
ranges::move(R&& r, O result);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6685)
Let E(n) be
- [(1.1)](#1.1)
std::move(*(first + n)) for the overload in namespace std;
- [(1.2)](#1.2)
ranges::iter_move(first + n) for the overloads in namespace ranges[.](#1.sentence-1)
Let N be last - first[.](#1.sentence-2)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6697)
*Preconditions*: result is not in the range [first, last)[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6701)
*Effects*: Moves elements in the range [first, last)
into the range [result, result + N)
starting from first and proceeding to last[.](#3.sentence-1)
For each non-negative integer n<N, performs *(result + n) = E(n)[.](#3.sentence-2)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6708)
*Returns*:
- [(4.1)](#4.1)
result + N for the overload in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{last, result + N} for the overloads in namespace ranges[.](#4.2.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6719)
*Complexity*: Exactly N assignments[.](#5.sentence-1)
[🔗](#lib:move,algorithm_)
`template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator2 move(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS>
requires [indirectly_movable](alg.req.ind.move#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<I, O>
ranges::move_result<I, O>
ranges::move(Ep&& exec, I first, S last, O result, OutS result_last);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR>
requires [indirectly_movable](alg.req.ind.move#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<iterator_t<R>, iterator_t<OutR>>
ranges::move_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::move(Ep&& exec, R&& r, OutR&& result_r);
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6743)
Let E(n) be:
- [(6.1)](#6.1)
std::move(*(first + n)) for the overload in namespace std;
- [(6.2)](#6.2)
ranges::iter_move(first + n) for the overloads in namespace ranges[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6754)
Let result_last be result + (last - first) for the overloads in namespace std[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6758)
Let N be min(last - first, result_last - result)[.](#8.sentence-1)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6761)
*Preconditions*: The ranges [first, last) and [result, result + N)
do not overlap[.](#9.sentence-1)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6766)
*Effects*: Moves elements in the range [first, first + N)
into the range [result, result + N)[.](#10.sentence-1)
For each non-negative integer n<N,
performs *(result + n) = E(n)[.](#10.sentence-2)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6773)
*Returns*:
- [(11.1)](#11.1)
result + N for the overload in namespace std[.](#11.1.sentence-1)
- [(11.2)](#11.2)
{first + N, result + N} for the overloads in namespace ranges[.](#11.2.sentence-1)
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6784)
*Complexity*: Exactly N assignments[.](#12.sentence-1)
[🔗](#lib:move_backward)
`template<class BidirectionalIterator1, class BidirectionalIterator2>
constexpr BidirectionalIterator2
move_backward(BidirectionalIterator1 first, BidirectionalIterator1 last,
BidirectionalIterator2 result);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I2>
requires [indirectly_movable](alg.req.ind.move#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<I1, I2>
constexpr ranges::move_backward_result<I1, I2>
ranges::move_backward(I1 first, S1 last, I2 result);
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, [bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I>
requires [indirectly_movable](alg.req.ind.move#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<iterator_t<R>, I>
constexpr ranges::move_backward_result<borrowed_iterator_t<R>, I>
ranges::move_backward(R&& r, I result);
`
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6807)
Let E(n) be
- [(13.1)](#13.1)
std::move(*(last - n)) for the overload in namespace std;
- [(13.2)](#13.2)
ranges::iter_move(last - n) for the overloads in namespace ranges[.](#13.sentence-1)
Let N be last - first[.](#13.sentence-2)
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6819)
*Preconditions*: result is not in the range (first, last][.](#14.sentence-1)
[15](#15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6823)
*Effects*: Moves elements in the range [first, last)
into the range [result - N, result)
starting from last - 1 and proceeding to first[.](#15.sentence-1)[202](#footnote-202 "move_­backward can be used instead of move when last is in the range [result - N, result).")
For each positive integer n ≤ N,
performs *(result - n) = E(n)[.](#15.sentence-2)
[16](#16)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6835)
*Returns*:
- [(16.1)](#16.1)
result - N for the overload in namespace std[.](#16.1.sentence-1)
- [(16.2)](#16.2)
{last, result - N} for the overloads in namespace ranges[.](#16.2.sentence-1)
[17](#17)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6846)
*Complexity*: Exactly N assignments[.](#17.sentence-1)
[202)](#footnote-202)[202)](#footnoteref-202)
move_backward can be used instead of move when last is in the range [result - N, result)[.](#footnote-202.sentence-1)

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[alg.none.of]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.none.of)
### 26.6.3 None of [alg.none.of]
[🔗](#lib:none_of)
`template<class InputIterator, class Predicate>
constexpr bool none_of(InputIterator first, InputIterator last, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
bool none_of(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last,
Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr bool ranges::none_of(I first, S last, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr bool ranges::none_of(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
bool ranges::none_of(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
bool ranges::none_of(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4502)
Let E be:
- [(1.1)](#1.1)
pred(*i) for the overloads in namespace std;
- [(1.2)](#1.2)
invoke(pred, invoke(proj, *i)) for the overloads in namespace ranges[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4512)
*Returns*: false if E is true for some iterator i in the range [first, last), andtrue otherwise[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L4518)
*Complexity*: At most last - first applications of the predicate and any projection[.](#3.sentence-1)

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[alg.nth.element]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.nth.element)
### 26.8.3 Nth element [alg.nth.element]
[🔗](#lib:nth_element)
`template<class RandomAccessIterator>
constexpr void nth_element(RandomAccessIterator first, RandomAccessIterator nth,
RandomAccessIterator last);
template<class ExecutionPolicy, class RandomAccessIterator>
void nth_element(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator nth,
RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void nth_element(RandomAccessIterator first, RandomAccessIterator nth,
RandomAccessIterator last, Compare comp);
template<class ExecutionPolicy, class RandomAccessIterator, class Compare>
void nth_element(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator nth,
RandomAccessIterator last, Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I
ranges::nth_element(I first, I nth, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
I ranges::nth_element(Ep&& exec, I first, I nth, S last, Comp comp = {}, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9320)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9325)
*Preconditions*: [first, nth) and [nth, last) are valid ranges[.](#2.sentence-1)
For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")), and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9335)
*Effects*: After nth_element the element in the position pointed to by nth is the element that would be in that position
if the whole range were sorted with respect to comp and proj,
unless nth == last[.](#3.sentence-1)
Also for every iterator i in the range [first, nth)
and every iterator j in the range [nth, last)
it holds that:bool(invoke(comp, invoke(proj, *j), invoke(proj, *i))) is false[.](#3.sentence-2)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9346)
*Returns*: last for the overload in namespace ranges[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9350)
*Complexity*: For the non-parallel algorithm overloads, linear on average[.](#5.sentence-1)
For the parallel algorithm overloads, O(N) applications of
the predicate, and O(NlogN) swaps, where N=last - first[.](#5.sentence-2)
[🔗](#itemdecl:2)
`template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::nth_element(R&& r, iterator_t<R> nth, Comp comp = {}, Proj proj = {});
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9365)
*Effects*: Equivalent to:return ranges::nth_element(ranges::begin(r), nth, ranges::end(r), comp, proj);
[🔗](#itemdecl:3)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
borrowed_iterator_t<R>
ranges::nth_element(Ep&& exec, R&& r, iterator_t<R> nth, Comp comp = {}, Proj proj = {});
`
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9382)
*Effects*: Equivalent to:return ranges::nth_element(std::forward<Ep>(exec), ranges::begin(r), nth, ranges::end(r),
comp, proj);

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[alg.partitions]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.partitions)
### 26.8.5 Partitions [alg.partitions]
[🔗](#lib:is_partitioned)
`template<class InputIterator, class Predicate>
constexpr bool is_partitioned(InputIterator first, InputIterator last, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
bool is_partitioned(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last, Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr bool ranges::is_partitioned(I first, S last, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr bool ranges::is_partitioned(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
bool ranges::is_partitioned(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
bool ranges::is_partitioned(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9659)
Let proj be identity{} for the overloads with no parameter named proj[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9663)
*Returns*: true if and only if the elements e of [first, last)
are partitioned with respect to the expressionbool(invoke(pred, invoke(proj, e)))[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9669)
*Complexity*: Linear[.](#3.sentence-1)
At most last - first applications of pred and proj[.](#3.sentence-2)
[🔗](#lib:partition)
`template<class ForwardIterator, class Predicate>
constexpr ForwardIterator
partition(ForwardIterator first, ForwardIterator last, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
ForwardIterator
partition(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last, Predicate pred);
template<[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr subrange<I>
ranges::partition(I first, S last, Pred pred, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_subrange_t<R>
ranges::partition(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
subrange<I> ranges::partition(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_subrange_t<R> ranges::partition(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9704)
Let proj be identity{} for the overloads with no parameter named proj and let E(x) be bool(invoke(pred, invoke(proj, x)))[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9709)
*Preconditions*: For the overloads in namespace std,ForwardIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements"))[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9715)
*Effects*: Places all the elements e in [first, last)
that satisfy E(e) before all the elements that do not[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9720)
*Returns*: Let i be an iterator such that E(*j) istrue for every iterator j in [first, i) andfalse for every iterator j in [i, last)[.](#7.sentence-1)
Returns:
- [(7.1)](#7.1)
i for the overloads in namespace std[.](#7.1.sentence-1)
- [(7.2)](#7.2)
{i, last} for the overloads in namespace ranges[.](#7.2.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9732)
*Complexity*: Let N=last - first:
- [(8.1)](#8.1)
For the non-parallel algorithm overloads,
exactly N applications of the predicate and projection[.](#8.1.sentence-1)
At most N/2 swaps if the type of first meets
the [*Cpp17BidirectionalIterator*](bidirectional.iterators#:Cpp17BidirectionalIterator "24.3.5.6Bidirectional iterators[bidirectional.iterators]") requirements
for the overloads in namespace std or
models [bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") for the overloads in namespace ranges,
and at most N swaps otherwise[.](#8.1.sentence-2)
- [(8.2)](#8.2)
For the parallel algorithm overloads, O(NlogN) swaps and O(N) applications of the predicate[.](#8.2.sentence-1)
[🔗](#lib:stable_partition)
`template<class BidirectionalIterator, class Predicate>
BidirectionalIterator
constexpr stable_partition(BidirectionalIterator first, BidirectionalIterator last,
Predicate pred);
template<class ExecutionPolicy, class BidirectionalIterator, class Predicate>
BidirectionalIterator
stable_partition(ExecutionPolicy&& exec,
BidirectionalIterator first, BidirectionalIterator last, Predicate pred);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
constexpr subrange<I> ranges::stable_partition(I first, S last, Pred pred, Proj proj = {});
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_subrange_t<R> ranges::stable_partition(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
subrange<I>
ranges::stable_partition(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_subrange_t<R>
ranges::stable_partition(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9784)
Let proj be identity{} for the overloads with no parameter named proj and let E(x) be bool(invoke(pred, invoke(proj, x)))[.](#9.sentence-1)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9789)
*Preconditions*: For the overloads in namespace std,BidirectionalIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#10.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9798)
*Effects*: Places all the elements e in [first, last)
that satisfy E(e) before all the elements that do not[.](#11.sentence-1)
The relative order of the elements in both groups is preserved[.](#11.sentence-2)
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9804)
*Returns*: Let i be an iterator
such that for every iterator j in [first, i),E(*j) is true,
and for every iterator j in the range [i, last),E(*j) is false[.](#12.sentence-1)
Returns:
- [(12.1)](#12.1)
i for the overloads in namespace std[.](#12.1.sentence-1)
- [(12.2)](#12.2)
{i, last} for the overloads in namespace ranges[.](#12.2.sentence-1)
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9817)
*Complexity*: Let N = last - first:
- [(13.1)](#13.1)
For the non-parallel algorithm overloads,
at most Nlog2N swaps,
but only O(N) swaps if there is enough extra memory[.](#13.1.sentence-1)
Exactly N applications of the predicate and projection[.](#13.1.sentence-2)
- [(13.2)](#13.2)
For the parallel algorithm overloads, O(NlogN) swaps and O(N) applications of the predicate[.](#13.2.sentence-1)
[🔗](#lib:partition_copy)
`template<class InputIterator, class OutputIterator1, class OutputIterator2, class Predicate>
constexpr pair<OutputIterator1, OutputIterator2>
partition_copy(InputIterator first, InputIterator last,
OutputIterator1 out_true, OutputIterator2 out_false, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class ForwardIterator1,
class ForwardIterator2, class Predicate>
pair<ForwardIterator1, ForwardIterator2>
partition_copy(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
ForwardIterator1 out_true, ForwardIterator2 out_false, Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O1, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O2,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O1> && [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O2>
constexpr ranges::partition_copy_result<I, O1, O2>
ranges::partition_copy(I first, S last, O1 out_true, O2 out_false, Pred pred,
Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O1, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O2,
class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O1> &&
[indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O2>
constexpr ranges::partition_copy_result<borrowed_iterator_t<R>, O1, O2>
ranges::partition_copy(R&& r, O1 out_true, O2 out_false, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O1> OutS1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O2> OutS2,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O1> && [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O2>
ranges::partition_copy_result<I, O1, O2>
ranges::partition_copy(Ep&& exec, I first, S last, O1 out_true, OutS1 last_true,
O2 out_false, OutS2 last_false, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR2,
class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR1>> &&
[indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR2>>
ranges::partition_copy_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR1>,
borrowed_iterator_t<OutR2>>
ranges::partition_copy(Ep&& exec, R&& r, OutR1&& out_true_r, OutR2&& out_false_r,
Pred pred, Proj proj = {});
`
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9880)
Let proj be identity{} for the overloads with no parameter named proj and
let E(x) be bool(invoke(pred, invoke(proj, x)))[.](#14.sentence-1)
[15](#15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9885)
For the overloads with no parameterslast_true, last_false, out_true_r, or out_false_r,
let
- [(15.1)](#15.1)
M be the number of iterators i in [first, last)
for which E(*i) is true,
and K be last - first - M;
- [(15.2)](#15.2)
last_true be out_true + M, and last_false be out_false + K[.](#15.sentence-1)
[16](#16)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9899)
For the overloads with parameterslast_true, last_false, out_true_r, or out_false_r,
let M be last_true - out_true and K be last_false - out_false[.](#16.sentence-1)
[17](#17)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9905)
Let:
- [(17.1)](#17.1)
i1 be the iterator in [first, last)
for which E(*i1) is true and there are exactly M iterators j in [first, i1)
for which E(*j) is true,
or last if no such iterator exists;
- [(17.2)](#17.2)
i2 be the iterator in [first, last)
for which E(*i2) is false and there are exactly K iterators j in [first, i2)
for which E(*j) is false,
or last if no such iterator exists;
- [(17.3)](#17.3)
N be min(i1 - first, i2 - first)[.](#17.sentence-1)
[18](#18)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9924)
*Mandates*: For the overloads in namespace std,
the expression *first is writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General"))
to out_true and out_false[.](#18.sentence-1)
[19](#19)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9931)
*Preconditions*: The input range and output ranges do not overlap[.](#19.sentence-1)
[*Note [1](#note-1)*:
For the parallel algorithm overload in namespace std,
there can be a performance cost if first's value type
does not meet the *Cpp17CopyConstructible* requirements[.](#19.sentence-2)
For the parallel algorithm overloads in namespace ranges,
there can be a performance cost if first's value type
does not model [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]")[.](#19.sentence-3)
— *end note*]
[20](#20)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9944)
*Effects*: For each iterator i in [first, first + N),
copies *i to the output range [out_true, last_true)
if E(*i) is true, or
to the output range [out_false, last_false) otherwise[.](#20.sentence-1)
[21](#21)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9951)
*Returns*: Let o1 be the iterator past the last copied element
in the output range [out_true, last_true),
and o2 be the iterator past the last copied element
in the output range [out_false, last_false)[.](#21.sentence-1)
Returns:
- [(21.1)](#21.1)
{o1, o2} for the overloads in namespace std[.](#21.1.sentence-1)
- [(21.2)](#21.2)
{first + N, o1, o2} for the overloads in namespace ranges[.](#21.2.sentence-1)
[22](#22)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9963)
*Complexity*: At most last - first applications of pred and proj[.](#22.sentence-1)
[🔗](#lib:partition_point)
`template<class ForwardIterator, class Predicate>
constexpr ForwardIterator
partition_point(ForwardIterator first, ForwardIterator last, Predicate pred);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr I ranges::partition_point(I first, S last, Pred pred, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
constexpr borrowed_iterator_t<R>
ranges::partition_point(R&& r, Pred pred, Proj proj = {});
`
[23](#23)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9984)
Let proj be identity{} for the overloads with no parameter named proj and let E(x) be bool(invoke(pred, invoke(proj, x)))[.](#23.sentence-1)
[24](#24)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9989)
*Preconditions*: The elements e of [first, last)
are partitioned with respect to E(e)[.](#24.sentence-1)
[25](#25)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9994)
*Returns*: An iterator mid such that E(*i) is true for all iterators i in [first, mid), andfalse for all iterators i in [mid, last)[.](#25.sentence-1)
[26](#26)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10001)
*Complexity*: O(log(last - first)) applications
of pred and proj[.](#26.sentence-1)

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@@ -0,0 +1,151 @@
[alg.permutation.generators]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.permutation.generators)
### 26.8.13 Permutation generators [alg.permutation.generators]
[🔗](#lib:next_permutation)
`template<class BidirectionalIterator>
constexpr bool next_permutation(BidirectionalIterator first,
BidirectionalIterator last);
template<class BidirectionalIterator, class Compare>
constexpr bool next_permutation(BidirectionalIterator first,
BidirectionalIterator last, Compare comp);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr ranges::next_permutation_result<I>
ranges::next_permutation(I first, S last, Comp comp = {}, Proj proj = {});
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr ranges::next_permutation_result<borrowed_iterator_t<R>>
ranges::next_permutation(R&& r, Comp comp = {}, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11918)
Let comp be less{} and proj be identity{} for overloads with no parameters by those names[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11923)
*Preconditions*: For the overloads in namespace std,BidirectionalIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements"))[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11929)
*Effects*: Takes a sequence defined by the range [first, last)
and transforms it into the next permutation[.](#3.sentence-1)
The next permutation is found by assuming that the set of all permutations
is lexicographically sorted with respect to comp and proj[.](#3.sentence-2)
If no such permutation exists,
transforms the sequence into the first permutation;
that is, the ascendingly-sorted one[.](#3.sentence-3)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11939)
*Returns*: Let B be true if a next permutation was found and
otherwise false[.](#4.sentence-1)
Returns:
- [(4.1)](#4.1)
B for the overloads in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{ last, B } for the overloads in namespace ranges[.](#4.2.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11949)
*Complexity*: At most (last - first) / 2 swaps[.](#5.sentence-1)
[🔗](#lib:prev_permutation)
`template<class BidirectionalIterator>
constexpr bool prev_permutation(BidirectionalIterator first,
BidirectionalIterator last);
template<class BidirectionalIterator, class Compare>
constexpr bool prev_permutation(BidirectionalIterator first,
BidirectionalIterator last, Compare comp);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr ranges::prev_permutation_result<I>
ranges::prev_permutation(I first, S last, Comp comp = {}, Proj proj = {});
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr ranges::prev_permutation_result<borrowed_iterator_t<R>>
ranges::prev_permutation(R&& r, Comp comp = {}, Proj proj = {});
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11977)
Let comp be less{} and proj be identity{} for overloads with no parameters by those names[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11982)
*Preconditions*: For the overloads in namespace std,BidirectionalIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements"))[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11988)
*Effects*: Takes a sequence defined by the range [first, last)
and transforms it into the previous permutation[.](#8.sentence-1)
The previous permutation is found by assuming that the set of all permutations
is lexicographically sorted with respect to comp and proj[.](#8.sentence-2)
If no such permutation exists,
transforms the sequence into the last permutation;
that is, the descendingly-sorted one[.](#8.sentence-3)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11998)
*Returns*: Let B be true if a previous permutation was found and
otherwise false[.](#9.sentence-1)
Returns:
- [(9.1)](#9.1)
B for the overloads in namespace std[.](#9.1.sentence-1)
- [(9.2)](#9.2)
{ last, B } for the overloads in namespace ranges[.](#9.2.sentence-1)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L12008)
*Complexity*: At most (last - first) / 2 swaps[.](#10.sentence-1)

150
cppdraft/alg/rand.md Normal file
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[alg.rand]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.12 Specialized <random> algorithms [alg.rand]
### [26.12.1](#general) General [[alg.rand.general]](alg.rand.general)
[1](#general-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14313)
The contents specified in [alg.rand]
are declared in the header [<random>](rand.synopsis#header:%3crandom%3e "29.5.2Header <random> synopsis[rand.synopsis]")[.](#general-1.sentence-1)
### [26.12.2](#generate) generate_random [[alg.rand.generate]](alg.rand.generate)
[🔗](#lib:generate_random)
`template<class R, class G>
requires [output_range](range.refinements#concept:output_range "25.4.6Other range refinements[range.refinements]")<R, invoke_result_t<G&>> && [uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>>
constexpr borrowed_iterator_t<R> ranges::generate_random(R&& r, G&& g);
`
[1](#generate-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14327)
*Effects*:
- [(1.1)](#generate-1.1)
Calls g.generate_random(std::forward<R>(r)) if this expression is well-formed[.](#generate-1.1.sentence-1)
- [(1.2)](#generate-1.2)
Otherwise, if R models [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]"),
fills r with ranges::size(r) values of
type invoke_result_t<G&> by performing
an unspecified number of invocations of
the form g() or g.generate_random(s),
if such an expression is well-formed for a value N and
an object s of type span<invoke_result_t<G&>, N>[.](#generate-1.2.sentence-1)
[*Note [1](#generate-note-1)*:
Values of N can differ between invocations[.](#generate-1.2.sentence-2)
— *end note*]
- [(1.3)](#generate-1.3)
Otherwise, calls ranges::generate(std::forward<R>(r), ref(g))[.](#generate-1.3.sentence-1)
[2](#generate-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14348)
*Returns*: ranges::end(r)[.](#generate-2.sentence-1)
[3](#generate-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14352)
*Remarks*: The effects of generate_random(r, g) shall be equivalent toranges::generate(std::forward<R>(r), ref(g))[.](#generate-3.sentence-1)
[*Note [2](#generate-note-2)*:
This implies that g.generate_random(a) fills a with the same values as produced by invocation of g()[.](#generate-3.sentence-2)
— *end note*]
[🔗](#lib:generate_random_)
`template<class G, [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<invoke_result_t<G&>> O, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<O> S>
requires [uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>>
constexpr O ranges::generate_random(O first, S last, G&& g);
`
[4](#generate-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14370)
*Effects*: Equivalent to:return generate_random(subrange<O, S>(std::move(first), last), g);
[🔗](#lib:generate_random__)
`template<class R, class G, class D>
requires [output_range](range.refinements#concept:output_range "25.4.6Other range refinements[range.refinements]")<R, invoke_result_t<D&, G&>> && [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<D&, G&> &&
[uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>> &&
is_arithmetic_v<invoke_result_t<D&, G&>>
constexpr borrowed_iterator_t<R> ranges::generate_random(R&& r, G&& g, D&& d);
`
[5](#generate-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14388)
*Effects*:
- [(5.1)](#generate-5.1)
Calls d.generate_random(std::forward<R>(r), g) if this expression is well-formed[.](#generate-5.1.sentence-1)
- [(5.2)](#generate-5.2)
Otherwise, if R models [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]"),
fills r with ranges::size(r) values of
type invoke_result_t<D&, G&> by performing an unspecified number of invocations of
the form invoke(d, g) or d.generate_random(s, g),
if such an expression is well-formed
for a value N and
an object s of type span<invoke_result_t<D&, G&>, N>[.](#generate-5.2.sentence-1)
[*Note [3](#generate-note-3)*:
Values of N can differ between invocations[.](#generate-5.2.sentence-2)
— *end note*]
- [(5.3)](#generate-5.3)
Otherwise, callsranges::generate(std::forward<R>(r), [&d, &g] { return invoke(d, g); });
[6](#generate-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14413)
*Returns*: ranges::end(r)[.](#generate-6.sentence-1)
[7](#generate-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14417)
*Remarks*: The effects of generate_random(r, g, d) shall be equivalent toranges::generate(std::forward<R>(r), [&d, &g] { return invoke(d, g); })
[*Note [4](#generate-note-4)*:
This implies that d.generate_random(a, g) fills a with the values with the same random distribution
as produced by invocation of invoke(d, g)[.](#generate-7.sentence-1)
— *end note*]
[🔗](#lib:generate_random___)
`template<class G, class D, [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<invoke_result_t<D&, G&>> O, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<O> S>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<D&, G&> && [uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>> &&
is_arithmetic_v<invoke_result_t<D&, G&>>
constexpr O ranges::generate_random(O first, S last, G&& g, D&& d);
`
[8](#generate-8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14439)
*Effects*: Equivalent to:return generate_random(subrange<O, S>(std::move(first), last), g, d);

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[alg.rand.general]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.12 Specialized <random> algorithms [[alg.rand]](alg.rand#general)
### 26.12.1 General [alg.rand.general]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14313)
The contents specified in [[alg.rand]](alg.rand "26.12Specialized <random> algorithms") are declared in the header [<random>](rand.synopsis#header:%3crandom%3e "29.5.2Header <random> synopsis[rand.synopsis]")[.](#1.sentence-1)

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@@ -0,0 +1,141 @@
[alg.rand.generate]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.12 Specialized <random> algorithms [[alg.rand]](alg.rand#generate)
### 26.12.2 generate_random [alg.rand.generate]
[🔗](#lib:generate_random)
`template<class R, class G>
requires [output_range](range.refinements#concept:output_range "25.4.6Other range refinements[range.refinements]")<R, invoke_result_t<G&>> && [uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>>
constexpr borrowed_iterator_t<R> ranges::generate_random(R&& r, G&& g);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14327)
*Effects*:
- [(1.1)](#1.1)
Calls g.generate_random(std::forward<R>(r)) if this expression is well-formed[.](#1.1.sentence-1)
- [(1.2)](#1.2)
Otherwise, if R models [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]"),
fills r with ranges::size(r) values of
type invoke_result_t<G&> by performing
an unspecified number of invocations of
the form g() or g.generate_random(s),
if such an expression is well-formed for a value N and
an object s of type span<invoke_result_t<G&>, N>[.](#1.2.sentence-1)
[*Note [1](#note-1)*:
Values of N can differ between invocations[.](#1.2.sentence-2)
— *end note*]
- [(1.3)](#1.3)
Otherwise, calls ranges::generate(std::forward<R>(r), ref(g))[.](#1.3.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14348)
*Returns*: ranges::end(r)[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14352)
*Remarks*: The effects of generate_random(r, g) shall be equivalent toranges::generate(std::forward<R>(r), ref(g))[.](#3.sentence-1)
[*Note [2](#note-2)*:
This implies that g.generate_random(a) fills a with the same values as produced by invocation of g()[.](#3.sentence-2)
— *end note*]
[🔗](#lib:generate_random_)
`template<class G, [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<invoke_result_t<G&>> O, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<O> S>
requires [uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>>
constexpr O ranges::generate_random(O first, S last, G&& g);
`
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14370)
*Effects*: Equivalent to:return generate_random(subrange<O, S>(std::move(first), last), g);
[🔗](#lib:generate_random__)
`template<class R, class G, class D>
requires [output_range](range.refinements#concept:output_range "25.4.6Other range refinements[range.refinements]")<R, invoke_result_t<D&, G&>> && [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<D&, G&> &&
[uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>> &&
is_arithmetic_v<invoke_result_t<D&, G&>>
constexpr borrowed_iterator_t<R> ranges::generate_random(R&& r, G&& g, D&& d);
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14388)
*Effects*:
- [(5.1)](#5.1)
Calls d.generate_random(std::forward<R>(r), g) if this expression is well-formed[.](#5.1.sentence-1)
- [(5.2)](#5.2)
Otherwise, if R models [sized_range](range.sized#concept:sized_range "25.4.4Sized ranges[range.sized]"),
fills r with ranges::size(r) values of
type invoke_result_t<D&, G&> by performing an unspecified number of invocations of
the form invoke(d, g) or d.generate_random(s, g),
if such an expression is well-formed
for a value N and
an object s of type span<invoke_result_t<D&, G&>, N>[.](#5.2.sentence-1)
[*Note [3](#note-3)*:
Values of N can differ between invocations[.](#5.2.sentence-2)
— *end note*]
- [(5.3)](#5.3)
Otherwise, callsranges::generate(std::forward<R>(r), [&d, &g] { return invoke(d, g); });
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14413)
*Returns*: ranges::end(r)[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14417)
*Remarks*: The effects of generate_random(r, g, d) shall be equivalent toranges::generate(std::forward<R>(r), [&d, &g] { return invoke(d, g); })
[*Note [4](#note-4)*:
This implies that d.generate_random(a, g) fills a with the values with the same random distribution
as produced by invocation of invoke(d, g)[.](#7.sentence-1)
— *end note*]
[🔗](#lib:generate_random___)
`template<class G, class D, [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<invoke_result_t<D&, G&>> O, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<O> S>
requires [invocable](concept.invocable#concept:invocable "18.7.2Concept invocable[concept.invocable]")<D&, G&> && [uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_cvref_t<G>> &&
is_arithmetic_v<invoke_result_t<D&, G&>>
constexpr O ranges::generate_random(O first, S last, G&& g, D&& d);
`
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L14439)
*Effects*: Equivalent to:return generate_random(subrange<O, S>(std::move(first), last), g, d);

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@@ -0,0 +1,106 @@
[alg.random.sample]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.random.sample)
### 26.7.12 Sample [alg.random.sample]
[🔗](#lib:sample)
`template<class PopulationIterator, class SampleIterator,
class Distance, class UniformRandomBitGenerator>
SampleIterator sample(PopulationIterator first, PopulationIterator last,
SampleIterator out, Distance n,
UniformRandomBitGenerator&& g);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Gen>
requires ([forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")<I> || [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]")<O>) &&
[indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> &&
[uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_reference_t<Gen>>
O ranges::sample(I first, S last, O out, iter_difference_t<I> n, Gen&& g);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Gen>
requires ([forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]")<R> || [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]")<O>) &&
[indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O> &&
[uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_reference_t<Gen>>
O ranges::sample(R&& r, O out, range_difference_t<R> n, Gen&& g);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8410)
*Mandates*: For the overload in namespace std,Distance is an integer type and*first is writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General")) to out[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8416)
*Preconditions*: out is not in the range [first, last)[.](#2.sentence-1)
For the overload in namespace std:
- [(2.1)](#2.1)
PopulationIterator meets
the [*Cpp17InputIterator*](input.iterators#:Cpp17InputIterator "24.3.5.3Input iterators[input.iterators]") requirements ([[input.iterators]](input.iterators "24.3.5.3Input iterators"))[.](#2.1.sentence-1)
- [(2.2)](#2.2)
SampleIterator meets
the [*Cpp17OutputIterator*](output.iterators#:Cpp17OutputIterator "24.3.5.4Output iterators[output.iterators]") requirements ([[output.iterators]](output.iterators "24.3.5.4Output iterators"))[.](#2.2.sentence-1)
- [(2.3)](#2.3)
SampleIterator meets
the [*Cpp17RandomAccessIterator*](random.access.iterators#:Cpp17RandomAccessIterator "24.3.5.7Random access iterators[random.access.iterators]") requirements ([[random.access.iterators]](random.access.iterators "24.3.5.7Random access iterators"))
unless PopulationIterator models [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") ([[iterator.concept.forward]](iterator.concept.forward "24.3.4.11Concept forward_­iterator"))[.](#2.3.sentence-1)
- [(2.4)](#2.4)
remove_reference_t<UniformRandomBitGenerator> meets
the requirements of a uniform random bit generator type ([[rand.req.urng]](rand.req.urng "29.5.3.3Uniform random bit generator requirements"))[.](#2.4.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8437)
*Effects*: Copies min(last - first, n) elements (the [*sample*](#def:sample "26.7.12Sample[alg.random.sample]"))
from [first, last) (the [*population*](#def:population "26.7.12Sample[alg.random.sample]")) to out such that each possible sample has equal probability of appearance[.](#3.sentence-1)
[*Note [1](#note-1)*:
Algorithms that obtain such effects include [*selection sampling*](#def:selection_sampling) and [*reservoir sampling*](#def:reservoir_sampling)[.](#3.sentence-2)
— *end note*]
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8447)
*Returns*: The end of the resulting sample range[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8451)
*Complexity*: O(last - first)[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8455)
*Remarks*:
- [(6.1)](#6.1)
For the overload in namespace std,
stable if and only if PopulationIterator models [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")[.](#6.1.sentence-1)
For the first overload in namespace ranges,
stable if and only if I models [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")[.](#6.1.sentence-2)
- [(6.2)](#6.2)
To the extent that the implementation of this function makes use
of random numbers, the object g serves as
the implementation's source of randomness[.](#6.2.sentence-1)

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@@ -0,0 +1,68 @@
[alg.random.shuffle]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.random.shuffle)
### 26.7.13 Shuffle [alg.random.shuffle]
[🔗](#lib:shuffle)
`template<class RandomAccessIterator, class UniformRandomBitGenerator>
void shuffle(RandomAccessIterator first,
RandomAccessIterator last,
UniformRandomBitGenerator&& g);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Gen>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I> &&
[uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_reference_t<Gen>>
I ranges::shuffle(I first, S last, Gen&& g);
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Gen>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>> &&
[uniform_random_bit_generator](rand.req.urng#concept:uniform_random_bit_generator "29.5.3.3Uniform random bit generator requirements[rand.req.urng]")<remove_reference_t<Gen>>
borrowed_iterator_t<R> ranges::shuffle(R&& r, Gen&& g);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8491)
*Preconditions*: For the overload in namespace std:
- [(1.1)](#1.1)
RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements"))[.](#1.1.sentence-1)
- [(1.2)](#1.2)
The type remove_reference_t<UniformRandomBitGenerator> meets
the uniform random bit generator ([[rand.req.urng]](rand.req.urng "29.5.3.3Uniform random bit generator requirements")) requirements[.](#1.2.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8503)
*Effects*: Permutes the elements in the range [first, last)
such that each possible permutation of those elements
has equal probability of appearance[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8509)
*Returns*: last for the overloads in namespace ranges[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8513)
*Complexity*: Exactly (last - first) - 1 swaps[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8517)
*Remarks*: To the extent that the implementation of this function makes use
of random numbers, the object referenced by g shall serve as
the implementation's source of randomness[.](#5.sentence-1)

339
cppdraft/alg/remove.md Normal file
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@@ -0,0 +1,339 @@
[alg.remove]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.remove)
### 26.7.8 Remove [alg.remove]
[🔗](#lib:remove)
`template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type>
constexpr ForwardIterator remove(ForwardIterator first, ForwardIterator last,
const T& value);
template<class ExecutionPolicy, class ForwardIterator,
class T = iterator_traits<ForwardIterator>::value_type>
ForwardIterator remove(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
const T& value);
template<class ForwardIterator, class Predicate>
constexpr ForwardIterator remove_if(ForwardIterator first, ForwardIterator last,
Predicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Predicate>
ForwardIterator remove_if(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Predicate pred);
template<[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
constexpr subrange<I> ranges::remove(I first, S last, const T& value, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
constexpr borrowed_subrange_t<R>
ranges::remove(R&& r, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, class T = projected_value_t<I, Proj>>
requires [indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
subrange<I>
ranges::remove(Ep&& exec, I first, S last, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to,
projected<iterator_t<R>, Proj>, const T*>
borrowed_subrange_t<R>
ranges::remove(Ep&& exec, R&& r, const T& value, Proj proj = {});
template<[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
constexpr subrange<I> ranges::remove_if(I first, S last, Pred pred, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_subrange_t<R>
ranges::remove_if(R&& r, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
subrange<I>
ranges::remove_if(Ep&& exec, I first, S last, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_subrange_t<R>
ranges::remove_if(Ep&& exec, R&& r, Pred pred, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7594)
Let E be
- [(1.1)](#1.1)
bool(*i == value) for remove;
- [(1.2)](#1.2)
bool(pred(*i)) for remove_if;
- [(1.3)](#1.3)
bool(invoke(proj, *i) == value) for ranges::remove;
- [(1.4)](#1.4)
bool(invoke(pred, invoke(proj, *i))) for ranges::remove_if[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7603)
*Preconditions*: For the algorithms in namespace std,
the type of *first meets the [*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements"))[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7609)
*Effects*: Eliminates all the elements referred to by iterator i in the range [first, last) for which E holds[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7614)
*Returns*: Let j be the end of the resulting range[.](#4.sentence-1)
Returns:
- [(4.1)](#4.1)
j for the overloads in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{j, last} for the overloads in namespace ranges[.](#4.2.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7622)
*Complexity*: Exactly last - first applications
of the corresponding predicate and any projection[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7627)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7631)
[*Note [1](#note-1)*:
Each element in the range [ret, last),
where ret is the returned value,
has a valid but unspecified state,
because the algorithms can eliminate elements
by moving from elements that were originally in that range[.](#7.sentence-1)
— *end note*]
[🔗](#lib:remove_copy)
`template<class InputIterator, class OutputIterator,
class T = iterator_traits<InputIterator>::value_type>
constexpr OutputIterator
remove_copy(InputIterator first, InputIterator last,
OutputIterator result, const T& value);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class T = iterator_traits<ForwardIterator1>::value_type>
ForwardIterator2
remove_copy(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result, const T& value);
template<class InputIterator, class OutputIterator, class Predicate>
constexpr OutputIterator
remove_copy_if(InputIterator first, InputIterator last,
OutputIterator result, Predicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class Predicate>
ForwardIterator2
remove_copy_if(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result, Predicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
class Proj = identity, class T = projected_value_t<I, Proj>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
constexpr ranges::remove_copy_result<I, O>
ranges::remove_copy(I first, S last, O result, const T& value, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T*>
constexpr ranges::remove_copy_result<borrowed_iterator_t<R>, O>
ranges::remove_copy(R&& r, O result, const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS,
class Proj = identity, class T = projected_value_t<I, Proj>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T*>
ranges::remove_copy_result<I, O>
ranges::remove_copy(Ep&& exec, I first, S last, O result, OutS result_last,
const T& value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR,
class Proj = identity, class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to,
projected<iterator_t<R>, Proj>, const T*>
ranges::remove_copy_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::remove_copy(Ep&& exec, R&& r, OutR&& result_r, const T& value, Proj proj = {});
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
constexpr ranges::remove_copy_if_result<I, O>
ranges::remove_copy_if(I first, S last, O result, Pred pred, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O>
constexpr ranges::remove_copy_if_result<borrowed_iterator_t<R>, O>
ranges::remove_copy_if(R&& r, O result, Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
ranges::remove_copy_if_result<I, O>
ranges::remove_copy_if(Ep&& exec, I first, S last, O result, OutS result_last,
Pred pred, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR,
class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>>
ranges::remove_copy_if_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::remove_copy_if(Ep&& exec, R&& r, OutR&& result_r, Pred pred, Proj proj = {});
`
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7723)
Let E(i) be
- [(8.1)](#8.1)
bool(*i == value) for remove_copy;
- [(8.2)](#8.2)
bool(pred(*i)) for remove_copy_if;
- [(8.3)](#8.3)
bool(invoke(proj, *i) == value) for ranges::remove_copy;
- [(8.4)](#8.4)
bool(invoke(pred, invoke(proj, *i))) for ranges::remove_copy_if[.](#8.sentence-1)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7732)
Let:
- [(9.1)](#9.1)
M be the number of iterators i in [first, last)
for which E(i) is false;
- [(9.2)](#9.2)
result_last be result + M for the overloads with no parameter result_last or result_r;
- [(9.3)](#9.3)
N be min(M, result_last - result)[.](#9.sentence-1)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7745)
*Mandates*: *first is writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General")) to result[.](#10.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7749)
*Preconditions*: The ranges [first, last) and [result, result + N)
do not overlap[.](#11.sentence-1)
[*Note [2](#note-2)*:
For the parallel algorithm overloads in namespace std,
there can be a performance cost
if iterator_traits<ForwardIterator1>::value_type does not meet
the *Cpp17MoveConstructible* (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) requirements[.](#11.sentence-2)
For the parallel algorithm overloads in namespace ranges,
there can be a performance cost
if iter_value_t<I> does not model [move_constructible](concept.moveconstructible#concept:move_constructible "18.4.13Concept move_­constructible[concept.moveconstructible]")[.](#11.sentence-3)
— *end note*]
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7763)
*Effects*: Copies the first N elements referred to by the iterator i in the range [first, last) for which E(i) is false into the range [result, result + N)[.](#12.sentence-1)
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7769)
*Returns*:
- [(13.1)](#13.1)
result + N,
for the algorithms in namespace std[.](#13.1.sentence-1)
- [(13.2)](#13.2)
{last, result + N},
for the algorithms in namespace ranges,
if N is equal to M[.](#13.2.sentence-1)
- [(13.3)](#13.3)
Otherwise, {j, result_last},
for the algorithms in namespace ranges,
where j is the iterator in [first, last)
for which E(j) is false and there are exactly N iterators i in [first, j)
for which E(i) is false[.](#13.3.sentence-1)
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7788)
*Complexity*: At most last - first applications
of the corresponding predicate and any projection[.](#14.sentence-1)
[15](#15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7793)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#15.sentence-1)

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[alg.replace]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.replace)
### 26.7.5 Replace [alg.replace]
[🔗](#lib:replace)
`template<class ForwardIterator, class T = iterator_traits<ForwardIterator>::value_type>
constexpr void replace(ForwardIterator first, ForwardIterator last,
const T& old_value, const T& new_value);
template<class ExecutionPolicy, class ForwardIterator,
class T = iterator_traits<ForwardIterator>::value_type>
void replace(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
const T& old_value, const T& new_value);
template<class ForwardIterator, class Predicate,
class T = iterator_traits<ForwardIterator>::value_type>
constexpr void replace_if(ForwardIterator first, ForwardIterator last,
Predicate pred, const T& new_value);
template<class ExecutionPolicy, class ForwardIterator, class Predicate,
class T = iterator_traits<ForwardIterator>::value_type>
void replace_if(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Predicate pred, const T& new_value);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T1 = projected_value_t<I, Proj>, class T2 = T1>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<I, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T1*>
constexpr I
ranges::replace(I first, S last, const T1& old_value, const T2& new_value, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T1 = projected_value_t<iterator_t<R>, Proj>, class T2 = T1>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<R>, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T1*>
constexpr borrowed_iterator_t<R>
ranges::replace(R&& r, const T1& old_value, const T2& new_value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, class T1 = projected_value_t<I, Proj>, class T2 = T1>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<I, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T1*>
I ranges::replace(Ep&& exec, I first, S last,
const T1& old_value, const T2& new_value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T1 = projected_value_t<iterator_t<R>, Proj>, class T2 = T1>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<R>, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to,
projected<iterator_t<R>, Proj>, const T1*>
borrowed_iterator_t<R>
ranges::replace(Ep&& exec, R&& r, const T1& old_value, const T2& new_value,
Proj proj = {});
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
class T = projected_value_t<I, Proj>,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<I, const T&>
constexpr I ranges::replace_if(I first, S last, Pred pred, const T& new_value, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity, class T = projected_value_t<iterator_t<R>, Proj>,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<R>, const T&>
constexpr borrowed_iterator_t<R>
ranges::replace_if(R&& r, Pred pred, const T& new_value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity, class T = projected_value_t<I, Proj>,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<I, const T&>
I ranges::replace_if(Ep&& exec, I first, S last, Pred pred,
const T& new_value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
class T = projected_value_t<iterator_t<R>, Proj>,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<R>, const T&>
borrowed_iterator_t<R>
ranges::replace_if(Ep&& exec, R&& r, Pred pred, const T& new_value, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7203)
Let E(i) be
- [(1.1)](#1.1)
bool(*i == old_value) for replace;
- [(1.2)](#1.2)
bool(pred(*i)) for replace_if;
- [(1.3)](#1.3)
bool(invoke(proj, *i) == old_value) for ranges::replace;
- [(1.4)](#1.4)
bool(invoke(pred, invoke(proj, *i))) for ranges::replace_if[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7212)
*Mandates*: new_value is writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General")) to first[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7216)
*Effects*: Substitutes elements referred by the iterator i in the range [first, last) with new_value,
when E(i) is true[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7222)
*Returns*: last for the overloads in namespace ranges[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7226)
*Complexity*: Exactly last - first applications
of the corresponding predicate and any projection[.](#5.sentence-1)
[🔗](#lib:replace_copy)
`template<class InputIterator, class OutputIterator, class T>
constexpr OutputIterator
replace_copy(InputIterator first, InputIterator last,
OutputIterator result,
const T& old_value, const T& new_value);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2, class T>
ForwardIterator2
replace_copy(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result,
const T& old_value, const T& new_value);
template<class InputIterator, class OutputIterator, class Predicate, class T>
constexpr OutputIterator
replace_copy_if(InputIterator first, InputIterator last,
OutputIterator result,
Predicate pred, const T& new_value);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class Predicate, class T>
ForwardIterator2
replace_copy_if(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result,
Predicate pred, const T& new_value);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class O,
class Proj = identity, class T1 = projected_value_t<I, Proj>, class T2 = iter_value_t<O>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T1*> &&
[output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<O, const T2&>
constexpr ranges::replace_copy_result<I, O>
ranges::replace_copy(I first, S last, O result, const T1& old_value, const T2& new_value,
Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class O, class Proj = identity,
class T1 = projected_value_t<iterator_t<R>, Proj>, class T2 = iter_value_t<O>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T1*>
&& [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<O, const T2&>
constexpr ranges::replace_copy_result<borrowed_iterator_t<R>, O>
ranges::replace_copy(R&& r, O result, const T1& old_value, const T2& new_value,
Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS,
class Proj = identity,
class T1 = projected_value_t<I, Proj>, class T2 = iter_value_t<O>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T1*> &&
[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, const T2&>
ranges::replace_copy_result<I, O>
ranges::replace_copy(Ep&& exec, I first, S last, O result, OutS result_last,
const T1& old_value, const T2& new_value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR,
class Proj = identity, class T1 = projected_value_t<iterator_t<R>, Proj>,
class T2 = range_value_t<OutR>>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<ranges::equal_to,
projected<iterator_t<R>, Proj>, const T1*> &&
[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<OutR>, const T2&>
ranges::replace_copy_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::replace_copy(Ep&& exec, R&& r, OutR&& result_r, const T1& old_value,
const T2& new_value, Proj proj = {});
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S,class O, class T = iter_value_t<O>,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> && [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<O, const T&>
constexpr ranges::replace_copy_if_result<I, O>
ranges::replace_copy_if(I first, S last, O result, Pred pred, const T& new_value,
Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, class O, class T = iter_value_t<O>, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O> && [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10Concept output_­iterator[iterator.concept.output]")<O, const T&>
constexpr ranges::replace_copy_if_result<borrowed_iterator_t<R>, O>
ranges::replace_copy_if(R&& r, O result, Pred pred, const T& new_value,
Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS, class T = iter_value_t<O>,
class Proj = identity, [indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> && [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, const T&>
ranges::replace_copy_if_result<I, O>
ranges::replace_copy_if(Ep&& exec, I first, S last, O result, OutS result_last,
Pred pred, const T& new_value, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR,
class T = range_value_t<OutR>, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>> &&
[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<OutR, const T&>
ranges::replace_copy_if_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::replace_copy_if(Ep&& exec, R&& r, OutR&& result_r, Pred pred, const T& new_value,
Proj proj = {});
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7330)
Let E(i) be
- [(6.1)](#6.1)
bool(*(first + (i - result)) == old_value) for replace_copy;
- [(6.2)](#6.2)
bool(pred(*(first + (i - result)))) for replace_copy_if;
- [(6.3)](#6.3)
bool(invoke(proj, *(first + (i - result))) == old_value) for ranges::replace_copy;
- [(6.4)](#6.4)
bool(invoke(pred, invoke(proj, *(first + (i - result))))) for ranges::replace_copy_if[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7343)
Let:
- [(7.1)](#7.1)
result_last be result + (last - first) for the overloads with no parameter result_last or result_r;
- [(7.2)](#7.2)
N be min(last - first, result_last - result)[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7353)
*Mandates*: The results of the expressions *first and new_value are writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General")) to result[.](#8.sentence-1)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7358)
*Preconditions*: The ranges [first, last) and [result, result + N)
do not overlap[.](#9.sentence-1)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7363)
*Effects*: Assigns through every iterator i in the range [result, result + N)
a new corresponding value
- [(10.1)](#10.1)
new_value if E(i) is true or
- [(10.2)](#10.2)
*(first + (i - result)) otherwise[.](#10.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7373)
*Returns*:
- [(11.1)](#11.1)
result + N for the overloads in namespace std[.](#11.1.sentence-1)
- [(11.2)](#11.2)
{first + N, result + N} for the overloads in namespace ranges[.](#11.2.sentence-1)
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7384)
*Complexity*: Exactly N applications
of the corresponding predicate and any projection[.](#12.sentence-1)

166
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[alg.req]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req)
### 24.3.7 Common algorithm requirements [alg.req]
#### [24.3.7.1](#general) General [[alg.req.general]](alg.req.general)
[1](#general-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2545)
There are several additional iterator concepts that are commonly applied
to families of algorithms[.](#general-1.sentence-1)
These group together iterator requirements
of algorithm families[.](#general-1.sentence-2)
There are three relational concepts that specify
how element values are transferred between[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") and [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]") types:[indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]"),[indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]"), and[indirectly_swappable](#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")[.](#general-1.sentence-3)
There are three relational concepts for rearrangements:[permutable](#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]"),[mergeable](#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]"), and[sortable](#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")[.](#general-1.sentence-4)
There is one relational concept for comparing values from different sequences:[indirectly_comparable](#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")[.](#general-1.sentence-5)
[2](#general-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2562)
[*Note [1](#general-note-1)*:
The ranges::less function object type
used in the concepts below imposes constraints on the concepts' arguments
in addition to those that appear in the concepts' bodies ([[range.cmp]](range.cmp "22.10.9Concept-constrained comparisons"))[.](#general-2.sentence-1)
— *end note*]
#### [24.3.7.2](#ind.move) Concept indirectly_movable [[alg.req.ind.move]](alg.req.ind.move)
[1](#ind.move-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2571)
The [indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") concept specifies the relationship between
an [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type and an [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]") type
between which values may be moved[.](#ind.move-1.sentence-1)
template<class In, class Out>concept [indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") =[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<In> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_rvalue_reference_t<In>>;
[2](#ind.move-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2583)
The [indirectly_movable_storable](#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") concept augments[indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") with additional requirements enabling
the transfer to be performed through an intermediate object of the[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type's value type[.](#ind.move-2.sentence-1)
template<class In, class Out>concept [indirectly_movable_storable](#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") =[indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<In, Out> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_value_t<In>> &&[movable](concepts.object#concept:movable "18.6Object concepts[concepts.object]")<iter_value_t<In>> &&[constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<iter_value_t<In>, iter_rvalue_reference_t<In>> &&[assignable_from](concept.assignable#concept:assignable_from "18.4.8Concept assignable_­from[concept.assignable]")<iter_value_t<In>&, iter_rvalue_reference_t<In>>;
[3](#ind.move-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2599)
Let i be a dereferenceable value of type In[.](#ind.move-3.sentence-1)
In and Out model [indirectly_movable_storable](#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<In, Out> only if after the initialization of the object obj initer_value_t<In> obj(ranges::iter_move(i));obj is equal to the value previously denoted by *i[.](#ind.move-3.sentence-2)
Ifiter_rvalue_reference_t<In> is an rvalue reference type,
the resulting state of the value denoted by *i is
valid but unspecified ([[lib.types.movedfrom]](lib.types.movedfrom "16.4.6.17Moved-from state of library types"))[.](#ind.move-3.sentence-3)
#### [24.3.7.3](#ind.copy) Concept indirectly_copyable [[alg.req.ind.copy]](alg.req.ind.copy)
[1](#ind.copy-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2613)
The [indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") concept specifies the relationship between
an [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type and an [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]") type
between which values may be copied[.](#ind.copy-1.sentence-1)
template<class In, class Out>concept [indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") =[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<In> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_reference_t<In>>;
[2](#ind.copy-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2625)
The [indirectly_copyable_storable](#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") concept augments[indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") with additional requirements enabling
the transfer to be performed through an intermediate object of the[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type's value type[.](#ind.copy-2.sentence-1)
It also requires the capability
to make copies of values[.](#ind.copy-2.sentence-2)
template<class In, class Out>concept [indirectly_copyable_storable](#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") =[indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<In, Out> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_value_t<In>&> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, const iter_value_t<In>&> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_value_t<In>&&> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, const iter_value_t<In>&&> &&[copyable](concepts.object#concept:copyable "18.6Object concepts[concepts.object]")<iter_value_t<In>> &&[constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<iter_value_t<In>, iter_reference_t<In>> &&[assignable_from](concept.assignable#concept:assignable_from "18.4.8Concept assignable_­from[concept.assignable]")<iter_value_t<In>&, iter_reference_t<In>>;
[3](#ind.copy-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2645)
Let i be a dereferenceable value of type In[.](#ind.copy-3.sentence-1)
In and Out model [indirectly_copyable_storable](#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<In, Out> only if after the initialization of the object obj initer_value_t<In> obj(*i);obj is equal to the value previously denoted by *i[.](#ind.copy-3.sentence-2)
Ifiter_reference_t<In> is an rvalue reference type, the resulting state
of the value denoted by *i is
valid but unspecified ([[lib.types.movedfrom]](lib.types.movedfrom "16.4.6.17Moved-from state of library types"))[.](#ind.copy-3.sentence-3)
#### [24.3.7.4](#ind.swap) Concept indirectly_swappable [[alg.req.ind.swap]](alg.req.ind.swap)
[1](#ind.swap-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2659)
The [indirectly_swappable](#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]") concept specifies a swappable relationship
between the values referenced by two [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") types[.](#ind.swap-1.sentence-1)
template<class I1, class I2 = I1>concept [indirectly_swappable](#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]") =[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<I1> && [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<I2> &&requires(const I1 i1, const I2 i2) { ranges::iter_swap(i1, i1);
ranges::iter_swap(i2, i2);
ranges::iter_swap(i1, i2);
ranges::iter_swap(i2, i1); };
#### [24.3.7.5](#ind.cmp) Concept indirectly_comparable [[alg.req.ind.cmp]](alg.req.ind.cmp)
[1](#ind.cmp-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2677)
The [indirectly_comparable](#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]") concept specifies
the common requirements of algorithms that
compare values from two different sequences[.](#ind.cmp-1.sentence-1)
template<class I1, class I2, class R, class P1 = identity, class P2 = identity>concept [indirectly_comparable](#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]") =[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<R, projected<I1, P1>, projected<I2, P2>>;
#### [24.3.7.6](#permutable) Concept permutable [[alg.req.permutable]](alg.req.permutable)
[1](#permutable-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2691)
The [permutable](#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") concept specifies the common requirements
of algorithms that reorder elements in place by moving or swapping them[.](#permutable-1.sentence-1)
template<class I>concept [permutable](#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") =[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")<I> &&[indirectly_movable_storable](#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<I, I> &&[indirectly_swappable](#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")<I, I>;
#### [24.3.7.7](#mergeable) Concept mergeable [[alg.req.mergeable]](alg.req.mergeable)
[1](#mergeable-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2705)
The [mergeable](#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]") concept specifies the requirements of algorithms
that merge sorted sequences into an output sequence by copying elements[.](#mergeable-1.sentence-1)
template<class I1, class I2, class Out, class R = ranges::less, class P1 = identity, class P2 = identity>concept [mergeable](#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]") =[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]")<I1> &&[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]")<I2> &&[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]")<Out> &&[indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I1, Out> &&[indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I2, Out> &&[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<R, projected<I1, P1>, projected<I2, P2>>;
#### [24.3.7.8](#sortable) Concept sortable [[alg.req.sortable]](alg.req.sortable)
[1](#sortable-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2723)
The [sortable](#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]") concept specifies the common requirements of
algorithms that permute sequences into ordered sequences (e.g., sort)[.](#sortable-1.sentence-1)
template<class I, class R = ranges::less, class P = identity>concept [sortable](#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]") =[permutable](#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I> &&[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<R, projected<I, P>>;

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[alg.req.general]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.general)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#general)
#### 24.3.7.1 General [alg.req.general]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2545)
There are several additional iterator concepts that are commonly applied
to families of algorithms[.](#1.sentence-1)
These group together iterator requirements
of algorithm families[.](#1.sentence-2)
There are three relational concepts that specify
how element values are transferred between[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") and [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]") types:[indirectly_movable](alg.req.ind.move#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]"),[indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]"), and[indirectly_swappable](alg.req.ind.swap#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")[.](#1.sentence-3)
There are three relational concepts for rearrangements:[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]"),[mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]"), and[sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")[.](#1.sentence-4)
There is one relational concept for comparing values from different sequences:[indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")[.](#1.sentence-5)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2562)
[*Note [1](#note-1)*:
The ranges::less function object type
used in the concepts below imposes constraints on the concepts' arguments
in addition to those that appear in the concepts' bodies ([[range.cmp]](range.cmp "22.10.9Concept-constrained comparisons"))[.](#2.sentence-1)
— *end note*]

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@@ -0,0 +1,19 @@
[alg.req.ind.cmp]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.ind.cmp)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#ind.cmp)
#### 24.3.7.5 Concept indirectly_comparable [alg.req.ind.cmp]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2677)
The [indirectly_comparable](#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]") concept specifies
the common requirements of algorithms that
compare values from two different sequences[.](#1.sentence-1)
template<class I1, class I2, class R, class P1 = identity, class P2 = identity>concept [indirectly_comparable](#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]") =[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<R, projected<I1, P1>, projected<I2, P2>>;

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[alg.req.ind.copy]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.ind.copy)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#ind.copy)
#### 24.3.7.3 Concept indirectly_copyable [alg.req.ind.copy]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2613)
The [indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") concept specifies the relationship between
an [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type and an [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]") type
between which values may be copied[.](#1.sentence-1)
template<class In, class Out>concept [indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") =[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<In> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_reference_t<In>>;
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2625)
The [indirectly_copyable_storable](#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") concept augments[indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") with additional requirements enabling
the transfer to be performed through an intermediate object of the[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type's value type[.](#2.sentence-1)
It also requires the capability
to make copies of values[.](#2.sentence-2)
template<class In, class Out>concept [indirectly_copyable_storable](#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]") =[indirectly_copyable](#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<In, Out> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_value_t<In>&> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, const iter_value_t<In>&> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_value_t<In>&&> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, const iter_value_t<In>&&> &&[copyable](concepts.object#concept:copyable "18.6Object concepts[concepts.object]")<iter_value_t<In>> &&[constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<iter_value_t<In>, iter_reference_t<In>> &&[assignable_from](concept.assignable#concept:assignable_from "18.4.8Concept assignable_­from[concept.assignable]")<iter_value_t<In>&, iter_reference_t<In>>;
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2645)
Let i be a dereferenceable value of type In[.](#3.sentence-1)
In and Out model [indirectly_copyable_storable](#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<In, Out> only if after the initialization of the object obj initer_value_t<In> obj(*i);obj is equal to the value previously denoted by *i[.](#3.sentence-2)
Ifiter_reference_t<In> is an rvalue reference type, the resulting state
of the value denoted by *i is
valid but unspecified ([[lib.types.movedfrom]](lib.types.movedfrom "16.4.6.17Moved-from state of library types"))[.](#3.sentence-3)

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[alg.req.ind.move]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.ind.move)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#ind.move)
#### 24.3.7.2 Concept indirectly_movable [alg.req.ind.move]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2571)
The [indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") concept specifies the relationship between
an [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type and an [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]") type
between which values may be moved[.](#1.sentence-1)
template<class In, class Out>concept [indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") =[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<In> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_rvalue_reference_t<In>>;
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2583)
The [indirectly_movable_storable](#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") concept augments[indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") with additional requirements enabling
the transfer to be performed through an intermediate object of the[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") type's value type[.](#2.sentence-1)
template<class In, class Out>concept [indirectly_movable_storable](#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]") =[indirectly_movable](#concept:indirectly_movable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<In, Out> &&[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<Out, iter_value_t<In>> &&[movable](concepts.object#concept:movable "18.6Object concepts[concepts.object]")<iter_value_t<In>> &&[constructible_from](concept.constructible#concept:constructible_from "18.4.11Concept constructible_­from[concept.constructible]")<iter_value_t<In>, iter_rvalue_reference_t<In>> &&[assignable_from](concept.assignable#concept:assignable_from "18.4.8Concept assignable_­from[concept.assignable]")<iter_value_t<In>&, iter_rvalue_reference_t<In>>;
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2599)
Let i be a dereferenceable value of type In[.](#3.sentence-1)
In and Out model [indirectly_movable_storable](#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<In, Out> only if after the initialization of the object obj initer_value_t<In> obj(ranges::iter_move(i));obj is equal to the value previously denoted by *i[.](#3.sentence-2)
Ifiter_rvalue_reference_t<In> is an rvalue reference type,
the resulting state of the value denoted by *i is
valid but unspecified ([[lib.types.movedfrom]](lib.types.movedfrom "16.4.6.17Moved-from state of library types"))[.](#3.sentence-3)

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[alg.req.ind.swap]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.ind.swap)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#ind.swap)
#### 24.3.7.4 Concept indirectly_swappable [alg.req.ind.swap]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2659)
The [indirectly_swappable](#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]") concept specifies a swappable relationship
between the values referenced by two [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]") types[.](#1.sentence-1)
template<class I1, class I2 = I1>concept [indirectly_swappable](#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]") =[indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<I1> && [indirectly_readable](iterator.concept.readable#concept:indirectly_readable "24.3.4.2Concept indirectly_­readable[iterator.concept.readable]")<I2> &&requires(const I1 i1, const I2 i2) { ranges::iter_swap(i1, i1);
ranges::iter_swap(i2, i2);
ranges::iter_swap(i1, i2);
ranges::iter_swap(i2, i1); };

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[alg.req.mergeable]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.mergeable)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#mergeable)
#### 24.3.7.7 Concept mergeable [alg.req.mergeable]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2705)
The [mergeable](#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]") concept specifies the requirements of algorithms
that merge sorted sequences into an output sequence by copying elements[.](#1.sentence-1)
template<class I1, class I2, class Out, class R = ranges::less, class P1 = identity, class P2 = identity>concept [mergeable](#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]") =[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]")<I1> &&[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]")<I2> &&[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]")<Out> &&[indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I1, Out> &&[indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I2, Out> &&[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<R, projected<I1, P1>, projected<I2, P2>>;

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[alg.req.permutable]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.permutable)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#permutable)
#### 24.3.7.6 Concept permutable [alg.req.permutable]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2691)
The [permutable](#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") concept specifies the common requirements
of algorithms that reorder elements in place by moving or swapping them[.](#1.sentence-1)
template<class I>concept [permutable](#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") =[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")<I> &&[indirectly_movable_storable](alg.req.ind.move#concept:indirectly_movable_storable "24.3.7.2Concept indirectly_­movable[alg.req.ind.move]")<I, I> &&[indirectly_swappable](alg.req.ind.swap#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")<I, I>;

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[alg.req.sortable]
# 24 Iterators library [[iterators]](./#iterators)
## 24.3 Iterator requirements [[iterator.requirements]](iterator.requirements#alg.req.sortable)
### 24.3.7 Common algorithm requirements [[alg.req]](alg.req#sortable)
#### 24.3.7.8 Concept sortable [alg.req.sortable]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/iterators.tex#L2723)
The [sortable](#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]") concept specifies the common requirements of
algorithms that permute sequences into ordered sequences (e.g., sort)[.](#1.sentence-1)
template<class I, class R = ranges::less, class P = identity>concept [sortable](#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]") =[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I> &&[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<R, projected<I, P>>;

167
cppdraft/alg/reverse.md Normal file
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[alg.reverse]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.reverse)
### 26.7.10 Reverse [alg.reverse]
[🔗](#lib:reverse)
`template<class BidirectionalIterator>
constexpr void reverse(BidirectionalIterator first, BidirectionalIterator last);
template<class ExecutionPolicy, class BidirectionalIterator>
void reverse(ExecutionPolicy&& exec,
BidirectionalIterator first, BidirectionalIterator last);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
constexpr I ranges::reverse(I first, S last);
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_iterator_t<R> ranges::reverse(R&& r);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
I ranges::reverse(Ep&& exec, I first, S last);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_iterator_t<R> ranges::reverse(Ep&& exec, R&& r);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8064)
*Preconditions*: For the overloads in namespace std,BidirectionalIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements"))[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8070)
*Effects*: For each non-negative integer i < (last - first) / 2,
applies std::iter_swap, orranges::iter_swap for the overloads in namespace ranges,
to all pairs of iterators first + i, (last - i) - 1[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8077)
*Returns*: last for the overloads in namespace ranges[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8081)
*Complexity*: Exactly (last - first)/2 swaps[.](#4.sentence-1)
[🔗](#lib:reverse_copy)
`template<class BidirectionalIterator, class OutputIterator>
constexpr OutputIterator
reverse_copy(BidirectionalIterator first, BidirectionalIterator last,
OutputIterator result);
template<class ExecutionPolicy, class BidirectionalIterator, class ForwardIterator>
ForwardIterator
reverse_copy(ExecutionPolicy&& exec,
BidirectionalIterator first, BidirectionalIterator last,
ForwardIterator result);
template<[bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
constexpr ranges::reverse_copy_result<I, O>
ranges::reverse_copy(I first, S last, O result);
template<[bidirectional_range](range.refinements#concept:bidirectional_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O>
constexpr ranges::reverse_copy_result<borrowed_iterator_t<R>, O>
ranges::reverse_copy(R&& r, O result);
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8109)
Let N be last - first[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8112)
*Preconditions*: The ranges [first, last) and [result, result + N)
do not overlap[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8117)
*Effects*: Copies the range [first, last) to the range [result, result + N)
such that for every non-negative integer i < N the following assignment takes place:*(result + N - 1 - i) = *(first + i)[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8124)
*Returns*:
- [(8.1)](#8.1)
result + N for the overloads in namespace std[.](#8.1.sentence-1)
- [(8.2)](#8.2)
{last, result + N} for the overloads in namespace ranges[.](#8.2.sentence-1)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8133)
*Complexity*: Exactly N assignments[.](#9.sentence-1)
[🔗](#itemdecl:3)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
ranges::reverse_copy_truncated_result<I, O>
ranges::reverse_copy(Ep&& exec, I first, S last, O result,
OutS result_last);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>>
ranges::reverse_copy_truncated_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::reverse_copy(Ep&& exec, R&& r, OutR&& result_r);
`
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8152)
Let N be min(last - first, result_last - result),
and let *NEW_FIRST* be first + (last - first) - N[.](#10.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8156)
*Preconditions*: The ranges [first, last) and [result, result + N)
do not overlap[.](#11.sentence-1)
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8161)
*Effects*: Copies the range [*NEW_FIRST*, last)
to the range [result, result + N)
such that for every non-negative integer i<N the following assignment takes place:*(result + N - 1 - i) = *(*NEW_FIRST* + i)[.](#12.sentence-1)
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8169)
*Returns*: {last, *NEW_FIRST*, result + N}[.](#13.sentence-1)
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8173)
*Complexity*: Exactly N assignments[.](#14.sentence-1)

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[alg.rotate]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.rotate)
### 26.7.11 Rotate [alg.rotate]
[🔗](#lib:rotate)
`template<class ForwardIterator>
constexpr ForwardIterator
rotate(ForwardIterator first, ForwardIterator middle, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator
rotate(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator middle, ForwardIterator last);
template<[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S>
constexpr subrange<I> ranges::rotate(I first, I middle, S last);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
subrange<I> ranges::rotate(Ep&& exec, I first, I middle, S last);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8198)
*Preconditions*: [first, middle) and [middle, last) are valid ranges[.](#1.sentence-1)
For the overloads in namespace std,ForwardIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")), and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#1.sentence-2)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8208)
*Effects*: For each non-negative integer i < (last - first),
places the element from the position first + i into position first + (i + (last - middle)) % (last - first)[.](#2.sentence-1)
[*Note [1](#note-1)*:
This is a left rotate[.](#2.sentence-2)
— *end note*]
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8217)
*Returns*:
- [(3.1)](#3.1)
first + (last - middle) for the overloads in namespace std[.](#3.1.sentence-1)
- [(3.2)](#3.2)
{first + (last - middle), last} for the overload in namespace ranges[.](#3.2.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8228)
*Complexity*: At most last - first swaps[.](#4.sentence-1)
[🔗](#itemdecl:2)
`template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_subrange_t<R> ranges::rotate(R&& r, iterator_t<R> middle);
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8240)
*Effects*: Equivalent to:return ranges::rotate(ranges::begin(r), middle, ranges::end(r));
[🔗](#itemdecl:3)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_subrange_t<R> ranges::rotate(Ep&& exec, R&& r, iterator_t<R> middle);
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8253)
*Effects*: Equivalent to:return ranges::rotate(std::forward<Ep>(exec), ranges::begin(r), middle, ranges::end(r));
[🔗](#lib:rotate_copy)
`template<class ForwardIterator, class OutputIterator>
constexpr OutputIterator
rotate_copy(ForwardIterator first, ForwardIterator middle, ForwardIterator last,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator2
rotate_copy(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 middle, ForwardIterator1 last,
ForwardIterator2 result);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
constexpr ranges::rotate_copy_result<I, O>
ranges::rotate_copy(I first, I middle, S last, O result);
`
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8280)
Let N be last - first[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8283)
*Preconditions*: [first, middle) and [middle, last) are valid ranges[.](#8.sentence-1)
The ranges [first, last) and [result, result + N)
do not overlap[.](#8.sentence-2)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8289)
*Effects*: Copies the range [first, last) to the range [result, result + N)
such that for each non-negative integer i<N the following assignment takes place:*(result + i) = *(first + (i + (middle - first)) % N)[.](#9.sentence-1)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8296)
*Returns*:
- [(10.1)](#10.1)
result + N for the overloads in namespace std[.](#10.1.sentence-1)
- [(10.2)](#10.2)
{last, result + N} for the overload in namespace ranges[.](#10.2.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8305)
*Complexity*: Exactly N assignments[.](#11.sentence-1)
[🔗](#itemdecl:5)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
ranges::rotate_copy_truncated_result<I, O>
ranges::rotate_copy(Ep&& exec, I first, I middle, S last, O result, OutS result_last);
`
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8319)
Let M be last - first and N be min(M, result_last - result)[.](#12.sentence-1)
[13](#13)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8323)
*Preconditions*: [first, middle) and [middle, last)
are valid ranges[.](#13.sentence-1)
The ranges [first, last) and [result, result + N)
do not overlap[.](#13.sentence-2)
[14](#14)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8330)
*Effects*: Copies the range [first, last)
to the range [result, result + N)
such that for each non-negative integer i<N the following assignment takes place:*(result + i) = *(first + (i + (middle - first)) % M)[.](#14.sentence-1)
[15](#15)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8338)
*Returns*:
- [(15.1)](#15.1)
{middle + N, first, result + N} if N is less than last - middle[.](#15.1.sentence-1)
- [(15.2)](#15.2)
Otherwise, {last, first + (N + (middle - first)) % M, result + N}[.](#15.2.sentence-1)
[16](#16)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8349)
*Complexity*: Exactly N assignments[.](#16.sentence-1)
[🔗](#itemdecl:6)
`template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O>
constexpr ranges::rotate_copy_result<borrowed_iterator_t<R>, O>
ranges::rotate_copy(R&& r, iterator_t<R> middle, O result);
`
[17](#17)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8362)
*Effects*: Equivalent to:return ranges::rotate_copy(ranges::begin(r), middle, ranges::end(r), std::move(result));
[🔗](#itemdecl:7)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>>
ranges::rotate_copy_truncated_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::rotate_copy(Ep&& exec, R&& r, iterator_t<R> middle, OutR&& result_r);
`
[18](#18)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8378)
*Effects*: Equivalent to:return ranges::rotate_copy(std::forward<Ep>(exec), ranges::begin(r), middle, ranges::end(r),
ranges::begin(result_r), ranges::end(result_r));

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[alg.search]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.search)
### 26.6.15 Search [alg.search]
[🔗](#lib:search)
`template<class ForwardIterator1, class ForwardIterator2>
constexpr ForwardIterator1
search(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator1
search(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
constexpr ForwardIterator1
search(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
ForwardIterator1
search(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
BinaryPredicate pred);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5839)
*Returns*: The first iterator i in the range [first1, last1 - (last2 - first2)]
such that
for every non-negative integer n less than last2 - first2 the following corresponding conditions hold:*(i + n) == *(first2 + n), pred(*(i + n), *(first2 + n)) != false[.](#1.sentence-1)
Returns first1 if [first2, last2) is empty,
otherwise returns last1 if no such iterator is found[.](#1.sentence-2)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5849)
*Complexity*: At most (last1 - first1) * (last2 - first2) applications
of the corresponding predicate[.](#2.sentence-1)
[🔗](#lib:search_)
`template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I2,
[sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2, class Pred = ranges::equal_to,
class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr subrange<I1>
ranges::search(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R1, [forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R2, class Pred = ranges::equal_to,
class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr borrowed_subrange_t<R1>
ranges::search(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
subrange<I1>
ranges::search(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
borrowed_subrange_t<R1>
ranges::search(Ep&& exec, R1&& r1, R2&& r2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5887)
*Returns*:
- [(3.1)](#3.1)
{i, i + (last2 - first2)},
where i is
the first iterator in the range [first1, last1 - (last2 - first2)]
such that
for every non-negative integer n less than last2 - first2 the conditionbool(invoke(pred, invoke(proj1, *(i + n)), invoke(proj2, *(first2 + n)))) is true.
- [(3.2)](#3.2)
Returns {last1, last1} if no such iterator exists.
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5905)
*Complexity*: At most (last1 - first1) * (last2 - first2) applications
of the corresponding predicate and projections[.](#4.sentence-1)
[🔗](#lib:search_n)
`template<class ForwardIterator, class Size, class T = iterator_traits<ForwardIterator>::value_type>
constexpr ForwardIterator
search_n(ForwardIterator first, ForwardIterator last,
Size count, const T& value);
template<class ExecutionPolicy, class ForwardIterator, class Size,
class T = iterator_traits<ForwardIterator>::value_type>
ForwardIterator
search_n(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Size count, const T& value);
template<class ForwardIterator, class Size, class T = iterator_traits<ForwardIterator>::value_type,
class BinaryPredicate>
constexpr ForwardIterator
search_n(ForwardIterator first, ForwardIterator last,
Size count, const T& value,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator, class Size,
class T = iterator_traits<ForwardIterator>::value_type,
class BinaryPredicate>
ForwardIterator
search_n(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Size count, const T& value,
BinaryPredicate pred);
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5942)
*Mandates*: The type Size is convertible to an integral type ([[conv.integral]](conv.integral "7.3.9Integral conversions"), [[class.conv]](class.conv "11.4.8Conversions"))[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5947)
Let E be pred(*(i + n), value) != false for the overloads with a parameter pred,
and *(i + n) == value otherwise[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5952)
*Returns*: The first iterator i in the range [first, last - count]
such that for every non-negative integer n less than count the condition E is true[.](#7.sentence-1)
Returns last if no such iterator is found[.](#7.sentence-2)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5959)
*Complexity*: At most last - first applications of the corresponding predicate[.](#8.sentence-1)
[🔗](#lib:search_n_)
`template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S,
class Pred = ranges::equal_to, class Proj = identity,
class T = projected_value_t<I, Proj>>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I, const T*, Pred, Proj>
constexpr subrange<I>
ranges::search_n(I first, S last, iter_difference_t<I> count,
const T& value, Pred pred = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Pred = ranges::equal_to,
class Proj = identity, class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R>, const T*, Pred, Proj>
constexpr borrowed_subrange_t<R>
ranges::search_n(R&& r, range_difference_t<R> count,
const T& value, Pred pred = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Pred = ranges::equal_to, class Proj = identity,
class T = projected_value_t<I, Proj>>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I, const T*, Pred, Proj>
subrange<I>
ranges::search_n(Ep&& exec, I first, S last, iter_difference_t<I> count,
const T& value, Pred pred = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Pred = ranges::equal_to,
class Proj = identity, class T = projected_value_t<iterator_t<R>, Proj>>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R>, const T*, Pred, Proj>
borrowed_subrange_t<R>
ranges::search_n(Ep&& exec, R&& r, range_difference_t<R> count,
const T& value, Pred pred = {}, Proj proj = {});
`
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L5996)
*Returns*: {i, i + count} where i is the first iterator in the range [first, last - count]
such that for every non-negative integer n less than count,
the following condition holds:invoke(pred, invoke(proj, *(i + n)), value)[.](#9.sentence-1)
Returns {last, last} if no such iterator is found[.](#9.sentence-2)
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6005)
*Complexity*: At most last - first applications
of the corresponding predicate and projection[.](#10.sentence-1)
[🔗](#lib:search__)
`template<class ForwardIterator, class Searcher>
constexpr ForwardIterator
search(ForwardIterator first, ForwardIterator last, const Searcher& searcher);
`
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6019)
*Effects*: Equivalent to: return searcher(first, last).first;
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6023)
*Remarks*: Searcher need not meet the [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#12.sentence-1)

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[alg.set.operations]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.set.operations)
### 26.8.7 Set operations on sorted structures [alg.set.operations]
#### [26.8.7.1](#general) General [[alg.set.operations.general]](alg.set.operations.general)
[1](#general-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10265)
Subclause [alg.set.operations] defines all the basic set operations on sorted structures[.](#general-1.sentence-1)
They also work with multisets ([[multiset]](multiset "23.4.7Class template multiset"))
containing multiple copies of equivalent elements[.](#general-1.sentence-2)
The semantics of the set operations are generalized to multisets
in a standard way by defining set_union to contain the maximum number of occurrences of every element,set_intersection to contain the minimum, and so on[.](#general-1.sentence-3)
#### [26.8.7.2](#includes) includes [[includes]](includes)
[🔗](#lib:includes)
`template<class InputIterator1, class InputIterator2>
constexpr bool includes(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
bool includes(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2);
template<class InputIterator1, class InputIterator2, class Compare>
constexpr bool includes(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
Compare comp);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2, class Compare>
bool includes(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Proj1 = identity, class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I1, Proj1>,
projected<I2, Proj2>> Comp = ranges::less>
constexpr bool ranges::includes(I1 first1, S1 last1, I2 first2, S2 last2, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, class Proj1 = identity,
class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>> Comp = ranges::less>
constexpr bool ranges::includes(R1&& r1, R2&& r2, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Proj1 = identity, class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I1, Proj1>, projected<I2, Proj2>> Comp =
ranges::less>
bool ranges::includes(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Proj1 = identity, class Proj2 = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>> Comp = ranges::less>
bool ranges::includes(Ep&& exec, R1&& r1, R2&& r2,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#includes-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10325)
Let comp be less{},proj1 be identity{}, andproj2 be identity{},
for the overloads with no parameters by those names[.](#includes-1.sentence-1)
[2](#includes-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10331)
*Preconditions*: The ranges [first1, last1) and [first2, last2) are sorted
with respect to comp and proj1 or proj2, respectively[.](#includes-2.sentence-1)
[3](#includes-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10336)
*Returns*: true if and only if [first2, last2) is a subsequence of [first1, last1)[.](#includes-3.sentence-1)
[*Note [1](#includes-note-1)*:
A sequence S is a subsequence of another sequence T if S can be obtained
from T by removing some, all, or none of T's elements and keeping the
remaining elements in the same order[.](#includes-3.sentence-2)
— *end note*]
[4](#includes-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10346)
*Complexity*: At most 2 * ((last1 - first1) + (last2 - first2)) - 1 comparisons and applications of each projection[.](#includes-4.sentence-1)
#### [26.8.7.3](#set.union) set_union [[set.union]](set.union)
[🔗](#lib:set_union)
`template<class InputIterator1, class InputIterator2, class OutputIterator>
constexpr OutputIterator
set_union(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator>
ForwardIterator
set_union(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result);
template<class InputIterator1, class InputIterator2, class OutputIterator, class Compare>
constexpr OutputIterator
set_union(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result, Compare comp);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator, class Compare>
ForwardIterator
set_union(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result, Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
constexpr ranges::set_union_result<I1, I2, O>
ranges::set_union(I1 first1, S1 last1, I2 first2, S2 last2, O result, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
constexpr ranges::set_union_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
ranges::set_union(R1&& r1, R2&& r2, O result, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
ranges::set_union_result<I1, I2, O>
ranges::set_union(Ep&& exec, I1 first1, S1 last1,
I2 first2, S2 last2, O result, OutS result_last,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, iterator_t<OutR>, Comp, Proj1, Proj2>
ranges::set_union_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>,
borrowed_iterator_t<OutR>>
ranges::set_union(Ep&& exec, R1&& r1, R2&& r2, OutR&& result_r, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#set.union-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10416)
Let:
- [(1.1)](#set.union-1.1)
comp be less{},
and proj1 and proj2 be identity{} for the overloads with no parameters by those names;
- [(1.2)](#set.union-1.2)
M be last1 - first1 plus the number of elements in [first2, last2)
that are not present in [first1, last1);
- [(1.3)](#set.union-1.3)
result_last be result + M for the overloads with no parameter result_last or result_r;
- [(1.4)](#set.union-1.4)
N be min(M, result_last - result)[.](#set.union-1.sentence-1)
[2](#set.union-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10433)
*Preconditions*: The ranges [first1, last1) and [first2, last2) are sorted
with respect to comp and proj1 or proj2, respectively[.](#set.union-2.sentence-1)
The resulting range does not overlap with either of the original ranges[.](#set.union-2.sentence-2)
[3](#set.union-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10439)
*Effects*: Constructs a sorted union of N elements from the two ranges;
that is, the set of elements that are present in one or both of the ranges[.](#set.union-3.sentence-1)
[4](#set.union-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10444)
*Returns*:
- [(4.1)](#set.union-4.1)
result_last for the overloads in namespace std[.](#set.union-4.1.sentence-1)
- [(4.2)](#set.union-4.2)
{last1, last2, result + N} for the overloads in namespace ranges,
if N is equal to M[.](#set.union-4.2.sentence-1)
- [(4.3)](#set.union-4.3)
Otherwise, {j1, j2, result_last} for the overloads in namespace ranges,
where the iterators j1 and j2 point to positions past the last copied or skipped elements
in [first1, last1) and [first2, last2), respectively[.](#set.union-4.3.sentence-1)
[5](#set.union-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10462)
*Complexity*: At most 2 * ((last1 - first1) + (last2 - first2)) - 1 comparisons and applications of each projection[.](#set.union-5.sentence-1)
[6](#set.union-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10467)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#set.union-6.sentence-1)
If [first1, last1) contains m elements
that are equivalent to each other and
[first2, last2) contains n elements
that are equivalent to them,
then all m elements from the first range
are copied to the output range, in order, and
then the final max(n−m,0) elements from the second range
are copied to the output range, in order[.](#set.union-6.sentence-2)
#### [26.8.7.4](#set.intersection) set_intersection [[set.intersection]](set.intersection)
[🔗](#lib:set_intersection)
`template<class InputIterator1, class InputIterator2,
class OutputIterator>
constexpr OutputIterator
set_intersection(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator>
ForwardIterator
set_intersection(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result);
template<class InputIterator1, class InputIterator2,
class OutputIterator, class Compare>
constexpr OutputIterator
set_intersection(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result, Compare comp);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator, class Compare>
ForwardIterator
set_intersection(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result, Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
constexpr ranges::set_intersection_result<I1, I2, O>
ranges::set_intersection(I1 first1, S1 last1, I2 first2, S2 last2, O result,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
constexpr ranges::set_intersection_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
ranges::set_intersection(R1&& r1, R2&& r2, O result,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
ranges::set_intersection_result<I1, I2, O>
ranges::set_intersection(Ep&& exec, I1 first1, S1 last1,
I2 first2, S2 last2, O result, OutS result_last,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, iterator_t<OutR>, Comp, Proj1, Proj2>
ranges::set_intersection_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>,
borrowed_iterator_t<OutR>>
ranges::set_intersection(Ep&& exec, R1&& r1, R2&& r2, OutR&& result_r, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#set.intersection-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10546)
Let:
- [(1.1)](#set.intersection-1.1)
comp be less{},
and proj1 and proj2 be identity{} for the overloads with no parameters by those names;
- [(1.2)](#set.intersection-1.2)
M be the number of elements in [first1, last1)
that are present in [first2, last2);
- [(1.3)](#set.intersection-1.3)
result_last be result + M for the overloads with no parameter result_last or result_r;
- [(1.4)](#set.intersection-1.4)
N be min(M, result_last - result)[.](#set.intersection-1.sentence-1)
[2](#set.intersection-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10563)
*Preconditions*: The ranges [first1, last1) and [first2, last2) are sorted
with respect to comp and proj1 or proj2, respectively[.](#set.intersection-2.sentence-1)
The resulting range does not overlap with either of the original ranges[.](#set.intersection-2.sentence-2)
[3](#set.intersection-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10569)
*Effects*: Constructs a sorted intersection of N elements from the two ranges;
that is, the set of elements that are present in both of the ranges[.](#set.intersection-3.sentence-1)
[4](#set.intersection-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10574)
*Returns*:
- [(4.1)](#set.intersection-4.1)
result_last for the overloads in namespace std[.](#set.intersection-4.1.sentence-1)
- [(4.2)](#set.intersection-4.2)
{last1, last2, result + N} for the overloads in namespace ranges,
if N is equal to M[.](#set.intersection-4.2.sentence-1)
- [(4.3)](#set.intersection-4.3)
Otherwise, {j1, j2, result_last} for the overloads in namespace ranges,
where the iterators j1 and j2 point to positions past the last copied or skipped elements
in [first1, last1) and [first2, last2), respectively[.](#set.intersection-4.3.sentence-1)
[5](#set.intersection-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10592)
*Complexity*: At most 2 * ((last1 - first1) + (last2 - first2)) - 1 comparisons and applications of each projection[.](#set.intersection-5.sentence-1)
[6](#set.intersection-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10597)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#set.intersection-6.sentence-1)
If [first1, last1) contains m elements
that are equivalent to each other and
[first2, last2) contains n elements
that are equivalent to them,
the first min(m,n) elements
are copied from the first range to the output range, in order[.](#set.intersection-6.sentence-2)
#### [26.8.7.5](#set.difference) set_difference [[set.difference]](set.difference)
[🔗](#lib:set_difference)
`template<class InputIterator1, class InputIterator2,
class OutputIterator>
constexpr OutputIterator
set_difference(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator>
ForwardIterator
set_difference(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result);
template<class InputIterator1, class InputIterator2,
class OutputIterator, class Compare>
constexpr OutputIterator
set_difference(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result, Compare comp);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator, class Compare>
ForwardIterator
set_difference(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result, Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
constexpr ranges::set_difference_result<I1, O>
ranges::set_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
constexpr ranges::set_difference_result<borrowed_iterator_t<R1>, O>
ranges::set_difference(R1&& r1, R2&& r2, O result,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
ranges::set_difference_result<I1, O>
ranges::set_difference(Ep&& exec, I1 first1, S1 last1,
I2 first2, S2 last2, O result, OutS result_last,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, iterator_t<OutR>, Comp, Proj1, Proj2>
ranges::set_difference_result<borrowed_iterator_t<R1>, borrowed_iterator_t<OutR>>
ranges::set_difference(Ep&& exec, R1&& r1, R2&& r2, OutR&& result_r, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#set.difference-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10673)
Let:
- [(1.1)](#set.difference-1.1)
comp be less{},
and proj1 and proj2 be identity{} for the overloads with no parameters by those names;
- [(1.2)](#set.difference-1.2)
M be the number of elements in [first1, last1)
that are not present in [first2, last2);
- [(1.3)](#set.difference-1.3)
result_last be result + M for the overloads with no parameter result_last or result_r;
- [(1.4)](#set.difference-1.4)
N be min(M, result_last - result)[.](#set.difference-1.sentence-1)
[2](#set.difference-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10690)
*Preconditions*: The ranges [first1, last1) and [first2, last2) are sorted
with respect to comp and proj1 or proj2, respectively[.](#set.difference-2.sentence-1)
The resulting range does not overlap with either of the original ranges[.](#set.difference-2.sentence-2)
[3](#set.difference-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10696)
*Effects*: Copies N elements of the range [first1, last1)
which are not present in the range [first2, last2)
to the range [result, result + N)[.](#set.difference-3.sentence-1)
The elements in the constructed range are sorted[.](#set.difference-3.sentence-2)
[4](#set.difference-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10703)
*Returns*:
- [(4.1)](#set.difference-4.1)
result_last for the overloads in namespace std[.](#set.difference-4.1.sentence-1)
- [(4.2)](#set.difference-4.2)
{last1, result + N} for the overloads in namespace ranges,
if N is equal to M[.](#set.difference-4.2.sentence-1)
- [(4.3)](#set.difference-4.3)
Otherwise, {j1, result_last} for the overloads in namespace ranges,
where the iterator j1 points to positions past the last copied or skipped elements
in [first1, last1) and [first2, last2), respectively[.](#set.difference-4.3.sentence-1)
[5](#set.difference-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10721)
*Complexity*: At most 2 * ((last1 - first1) + (last2 - first2)) - 1 comparisons and applications of each projection[.](#set.difference-5.sentence-1)
[6](#set.difference-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10726)
*Remarks*: If [first1, last1) contains m elements
that are equivalent to each other and
[first2, last2) contains n elements
that are equivalent to them,
the last max(m−n,0) elements from [first1, last1)
are copied to the output range, in order[.](#set.difference-6.sentence-1)
#### [26.8.7.6](#set.symmetric.difference) set_symmetric_difference [[set.symmetric.difference]](set.symmetric.difference)
[🔗](#lib:set_symmetric_difference)
`template<class InputIterator1, class InputIterator2,
class OutputIterator>
constexpr OutputIterator
set_symmetric_difference(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator>
ForwardIterator
set_symmetric_difference(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result);
template<class InputIterator1, class InputIterator2,
class OutputIterator, class Compare>
constexpr OutputIterator
set_symmetric_difference(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
OutputIterator result, Compare comp);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator, class Compare>
ForwardIterator
set_symmetric_difference(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
ForwardIterator result, Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
constexpr ranges::set_symmetric_difference_result<I1, I2, O>
ranges::set_symmetric_difference(I1 first1, S1 last1, I2 first2, S2 last2, O result,
Comp comp = {}, Proj1 proj1 = {},
Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, O, Comp, Proj1, Proj2>
constexpr ranges::set_symmetric_difference_result<borrowed_iterator_t<R1>,
borrowed_iterator_t<R2>, O>
ranges::set_symmetric_difference(R1&& r1, R2&& r2, O result, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<I1, I2, O, Comp, Proj1, Proj2>
ranges::set_symmetric_difference_result<I1, I2, O>
ranges::set_symmetric_difference(Ep&& exec, I1 first1, S1 last1,
I2 first2, S2 last2, O result, OutS result_last,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [mergeable](alg.req.mergeable#concept:mergeable "24.3.7.7Concept mergeable[alg.req.mergeable]")<iterator_t<R1>, iterator_t<R2>, iterator_t<OutR>, Comp, Proj1, Proj2>
ranges::set_symmetric_difference_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>,
borrowed_iterator_t<OutR>>
ranges::set_symmetric_difference(Ep&& exec, R1&& r1, R2&& r2, OutR&& result_r,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#set.symmetric.difference-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10804)
Let:
- [(1.1)](#set.symmetric.difference-1.1)
comp be less{},
and proj1 and proj2 be identity{} for the overloads with no parameters by those names;
- [(1.2)](#set.symmetric.difference-1.2)
K be the number of elements in [first1, last1) that are not present in [first2, last2)[.](#set.symmetric.difference-1.2.sentence-1)
- [(1.3)](#set.symmetric.difference-1.3)
M be the number of elements in [first2, last2) that are not present in [first1, last1)[.](#set.symmetric.difference-1.3.sentence-1)
- [(1.4)](#set.symmetric.difference-1.4)
result_last be result + M + K for the overloads with no parameter result_last or result_r;
- [(1.5)](#set.symmetric.difference-1.5)
N be min(K+M, result_last - result)[.](#set.symmetric.difference-1.5.sentence-1)
[2](#set.symmetric.difference-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10822)
*Preconditions*: The ranges [first1, last1) and [first2, last2) are sorted
with respect to comp and proj1 or proj2, respectively[.](#set.symmetric.difference-2.sentence-1)
The resulting range does not overlap with either of the original ranges[.](#set.symmetric.difference-2.sentence-2)
[3](#set.symmetric.difference-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10828)
*Effects*: Copies the elements of the range [first1, last1)
that are not present in the range [first2, last2),
and the elements of the range [first2, last2)
that are not present in the range [first1, last1)
to the range [result, result + N)[.](#set.symmetric.difference-3.sentence-1)
The elements in the constructed range are sorted[.](#set.symmetric.difference-3.sentence-2)
[4](#set.symmetric.difference-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10837)
*Returns*:
- [(4.1)](#set.symmetric.difference-4.1)
result_last for the overloads in namespace std[.](#set.symmetric.difference-4.1.sentence-1)
- [(4.2)](#set.symmetric.difference-4.2)
{last1, last2, result + N} for the overloads in namespace ranges,
if N is equal to M+K[.](#set.symmetric.difference-4.2.sentence-1)
- [(4.3)](#set.symmetric.difference-4.3)
Otherwise, {j1, j2, result_last} for the overloads in namespace ranges,
where the iterators j1 and j2 point to positions past the last copied or skipped elements
in [first1, last1) and [first2, last2), respectively[.](#set.symmetric.difference-4.3.sentence-1)
[5](#set.symmetric.difference-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10855)
*Complexity*: At most 2 * ((last1 - first1) + (last2 - first2)) - 1 comparisons and applications of each projection[.](#set.symmetric.difference-5.sentence-1)
[6](#set.symmetric.difference-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10860)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#set.symmetric.difference-6.sentence-1)
If [first1, last1) contains m elements
that are equivalent to each other and
[first2, last2) contains n elements
that are equivalent to them,
then |m−n| of those elements shall be copied to the output range:
the last m−n of these elements from [first1, last1) if m>n, and
the last n−m of these elements from [first2, last2) if m<n[.](#set.symmetric.difference-6.sentence-2)
In either case, the elements are copied in order[.](#set.symmetric.difference-6.sentence-3)

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[alg.set.operations.general]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.set.operations.general)
### 26.8.7 Set operations on sorted structures [[alg.set.operations]](alg.set.operations#general)
#### 26.8.7.1 General [alg.set.operations.general]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L10265)
Subclause [[alg.set.operations]](alg.set.operations "26.8.7Set operations on sorted structures") defines all the basic set operations on sorted structures[.](#1.sentence-1)
They also work with multisets ([[multiset]](multiset "23.4.7Class template multiset"))
containing multiple copies of equivalent elements[.](#1.sentence-2)
The semantics of the set operations are generalized to multisets
in a standard way by defining set_union to contain the maximum number of occurrences of every element,set_intersection to contain the minimum, and so on[.](#1.sentence-3)

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[alg.shift]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.shift)
### 26.7.14 Shift [alg.shift]
[🔗](#lib:shift_left)
`template<class ForwardIterator>
constexpr ForwardIterator
shift_left(ForwardIterator first, ForwardIterator last,
typename iterator_traits<ForwardIterator>::difference_type n);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator
shift_left(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last,
typename iterator_traits<ForwardIterator>::difference_type n);
template<[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S>
constexpr subrange<I> ranges::shift_left(I first, S last, iter_difference_t<I> n);
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_subrange_t<R> ranges::shift_left(R&& r, range_difference_t<R> n);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
subrange<I>
ranges::shift_left(Ep&& exec, I first, S last, iter_difference_t<I> n);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_subrange_t<R>
ranges::shift_left(Ep&& exec, R&& r, range_difference_t<R> n);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8554)
*Preconditions*: n >= 0 is true[.](#1.sentence-1)
For the overloads in namespace std,
the type of *first meets the [*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements[.](#1.sentence-2)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8560)
*Effects*: If n == 0 or n >= last - first, does nothing[.](#2.sentence-1)
Otherwise, moves the element
from position first + n + i into position first + i for each non-negative integer i < (last - first) - n[.](#2.sentence-2)
For the non-parallel algorithm overloads,
does so in order starting
from i = 0 and proceeding to i = (last - first) - n - 1[.](#2.sentence-3)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8571)
*Returns*: Let *NEW_LAST* be first + (last - first - n) if n < last - first,
otherwise first[.](#3.sentence-1)
Returns:
- [(3.1)](#3.1)
*NEW_LAST* for the overloads in namespace std[.](#3.1.sentence-1)
- [(3.2)](#3.2)
{first, *NEW_LAST*} for the overloads in namespace ranges[.](#3.2.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8585)
*Complexity*: At most (last - first) - n assignments[.](#4.sentence-1)
[🔗](#lib:shift_right)
`template<class ForwardIterator>
constexpr ForwardIterator
shift_right(ForwardIterator first, ForwardIterator last,
typename iterator_traits<ForwardIterator>::difference_type n);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator
shift_right(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last,
typename iterator_traits<ForwardIterator>::difference_type n);
template<[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S>
constexpr subrange<I> ranges::shift_right(I first, S last, iter_difference_t<I> n);
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_subrange_t<R> ranges::shift_right(R&& r, range_difference_t<R> n);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
subrange<I>
ranges::shift_right(Ep&& exec, I first, S last, iter_difference_t<I> n);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_subrange_t<R>
ranges::shift_right(Ep&& exec, R&& r, range_difference_t<R> n);
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8618)
*Preconditions*: n >= 0 is true[.](#5.sentence-1)
For the overloads in namespace std,
the type of *first meets the [*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements,
and ForwardIterator meets
the [*Cpp17BidirectionalIterator*](bidirectional.iterators#:Cpp17BidirectionalIterator "24.3.5.6Bidirectional iterators[bidirectional.iterators]") requirements ([[bidirectional.iterators]](bidirectional.iterators "24.3.5.6Bidirectional iterators")) or
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements[.](#5.sentence-2)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8627)
*Effects*: If n == 0 or n >= last - first, does nothing[.](#6.sentence-1)
Otherwise, moves the element
from position first + i into position first + n + i for each non-negative integer i < (last - first) - n[.](#6.sentence-2)
Does so in order starting
from i = (last - first) - n - 1 and proceeding to i = 0 if
- [(6.1)](#6.1)
for the non-parallel algorithm overload in namespace std,ForwardIterator meets the *Cpp17BidirectionalIterator* requirements,
- [(6.2)](#6.2)
for the non-parallel algorithm overloads in namespace ranges,I models [bidirectional_iterator](iterator.concept.bidir#concept:bidirectional_iterator "24.3.4.12Concept bidirectional_­iterator[iterator.concept.bidir]")[.](#6.sentence-3)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8644)
*Returns*: Let *NEW_FIRST* be first + n if n < last - first,
otherwise last[.](#7.sentence-1)
Returns:
- [(7.1)](#7.1)
*NEW_FIRST* for the overloads in namespace std[.](#7.1.sentence-1)
- [(7.2)](#7.2)
{*NEW_FIRST*, last} for the overloads in namespace ranges[.](#7.2.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8657)
*Complexity*: At most (last - first) - n assignments or swaps[.](#8.sentence-1)

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[alg.sort]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.sort)
### 26.8.2 Sorting [alg.sort]
#### [26.8.2.1](#sort) sort [[sort]](sort)
[🔗](#lib:sort)
`template<class RandomAccessIterator>
constexpr void sort(RandomAccessIterator first, RandomAccessIterator last);
template<class ExecutionPolicy, class RandomAccessIterator>
void sort(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void sort(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<class ExecutionPolicy, class RandomAccessIterator, class Compare>
void sort(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I
ranges::sort(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::sort(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
I ranges::sort(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
borrowed_iterator_t<R> ranges::sort(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[1](#sort-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8795)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#sort-1.sentence-1)
[2](#sort-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8800)
*Preconditions*: For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#sort-2.sentence-1)
[3](#sort-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8809)
*Effects*: Sorts the elements in the range [first, last)
with respect to comp and proj[.](#sort-3.sentence-1)
[4](#sort-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8814)
*Returns*: last for the overloads in namespace ranges[.](#sort-4.sentence-1)
[5](#sort-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8818)
*Complexity*: Let N be last - first[.](#sort-5.sentence-1)
O(NlogN) comparisons and projections[.](#sort-5.sentence-2)
#### [26.8.2.2](#stable.sort) stable_sort [[stable.sort]](stable.sort)
[🔗](#lib:stable_sort)
`template<class RandomAccessIterator>
constexpr void stable_sort(RandomAccessIterator first, RandomAccessIterator last);
template<class ExecutionPolicy, class RandomAccessIterator>
void stable_sort(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void stable_sort(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<class ExecutionPolicy, class RandomAccessIterator, class Compare>
void stable_sort(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I ranges::stable_sort(I first, S last, Comp comp = {}, Proj proj = {});
template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::stable_sort(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
I ranges::stable_sort(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
borrowed_iterator_t<R>
ranges::stable_sort(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[1](#stable.sort-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8863)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#stable.sort-1.sentence-1)
[2](#stable.sort-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8868)
*Preconditions*: For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#stable.sort-2.sentence-1)
[3](#stable.sort-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8877)
*Effects*: Sorts the elements in the range [first, last)
with respect to comp and proj[.](#stable.sort-3.sentence-1)
[4](#stable.sort-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8882)
*Returns*: last for the overloads in namespace ranges[.](#stable.sort-4.sentence-1)
[5](#stable.sort-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8886)
*Complexity*: Let N be last - first[.](#stable.sort-5.sentence-1)
If enough extra memory is available, Nlog(N) comparisons[.](#stable.sort-5.sentence-2)
Otherwise, at most Nlog2(N) comparisons[.](#stable.sort-5.sentence-3)
In either case, twice as many projections as the number of comparisons[.](#stable.sort-5.sentence-4)
[6](#stable.sort-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8893)
*Remarks*: Stable ([[algorithm.stable]](algorithm.stable "16.4.6.8Requirements for stable algorithms"))[.](#stable.sort-6.sentence-1)
#### [26.8.2.3](#partial.sort) partial_sort [[partial.sort]](partial.sort)
[🔗](#lib:partial_sort)
`template<class RandomAccessIterator>
constexpr void partial_sort(RandomAccessIterator first,
RandomAccessIterator middle,
RandomAccessIterator last);
template<class ExecutionPolicy, class RandomAccessIterator>
void partial_sort(ExecutionPolicy&& exec,
RandomAccessIterator first,
RandomAccessIterator middle,
RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
constexpr void partial_sort(RandomAccessIterator first,
RandomAccessIterator middle,
RandomAccessIterator last,
Compare comp);
template<class ExecutionPolicy, class RandomAccessIterator, class Compare>
void partial_sort(ExecutionPolicy&& exec,
RandomAccessIterator first,
RandomAccessIterator middle,
RandomAccessIterator last,
Compare comp);
template<[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Comp = ranges::less,
class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
constexpr I
ranges::partial_sort(I first, I middle, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I, Comp, Proj>
I ranges::partial_sort(Ep&& exec, I first, I middle, S last, Comp comp = {}, Proj proj = {});
`
[1](#partial.sort-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8936)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#partial.sort-1.sentence-1)
[2](#partial.sort-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8941)
*Preconditions*: [first, middle) and [middle, last) are valid ranges[.](#partial.sort-2.sentence-1)
For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) and
the type of *first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#partial.sort-2.sentence-2)
[3](#partial.sort-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8951)
*Effects*: Places the first middle - first elements
from the range [first, last)
as sorted with respect to comp and proj into the range [first, middle)[.](#partial.sort-3.sentence-1)
The rest of the elements in the range [middle, last)
are placed in an unspecified order[.](#partial.sort-3.sentence-2)
[4](#partial.sort-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8961)
*Returns*: last for the overload in namespace ranges[.](#partial.sort-4.sentence-1)
[5](#partial.sort-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8965)
*Complexity*: Approximately (last - first) * log(middle - first) comparisons, and
twice as many projections[.](#partial.sort-5.sentence-1)
[🔗](#partial.sort-itemdecl:2)
`template<[random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R, class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
constexpr borrowed_iterator_t<R>
ranges::partial_sort(R&& r, iterator_t<R> middle, Comp comp = {}, Proj proj = {});
`
[6](#partial.sort-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8979)
*Effects*: Equivalent to:return ranges::partial_sort(ranges::begin(r), middle, ranges::end(r), comp, proj);
[🔗](#partial.sort-itemdecl:3)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R,
class Comp = ranges::less, class Proj = identity>
requires [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R>, Comp, Proj>
borrowed_iterator_t<R>
ranges::partial_sort(Ep&& exec, R&& r, iterator_t<R> middle, Comp comp = {},
Proj proj = {});
`
[7](#partial.sort-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8997)
*Effects*: Equivalent to:return ranges::partial_sort(std::forward<Ep>(exec), ranges::begin(r), middle,
ranges::end(r), comp, proj);
#### [26.8.2.4](#partial.sort.copy) partial_sort_copy [[partial.sort.copy]](partial.sort.copy)
[🔗](#lib:partial_sort_copy)
`template<class InputIterator, class RandomAccessIterator>
constexpr RandomAccessIterator
partial_sort_copy(InputIterator first, InputIterator last,
RandomAccessIterator result_first,
RandomAccessIterator result_last);
template<class ExecutionPolicy, class ForwardIterator, class RandomAccessIterator>
RandomAccessIterator
partial_sort_copy(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
RandomAccessIterator result_first,
RandomAccessIterator result_last);
template<class InputIterator, class RandomAccessIterator,
class Compare>
constexpr RandomAccessIterator
partial_sort_copy(InputIterator first, InputIterator last,
RandomAccessIterator result_first,
RandomAccessIterator result_last,
Compare comp);
template<class ExecutionPolicy, class ForwardIterator, class RandomAccessIterator,
class Compare>
RandomAccessIterator
partial_sort_copy(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
RandomAccessIterator result_first,
RandomAccessIterator result_last,
Compare comp);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I1, I2> && [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I2, Comp, Proj2> &&
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<Comp, projected<I1, Proj1>, projected<I2, Proj2>>
constexpr ranges::partial_sort_copy_result<I1, I2>
ranges::partial_sort_copy(I1 first, S1 last, I2 result_first, S2 result_last,
Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [random_access_range](range.refinements#concept:random_access_range "25.4.6Other range refinements[range.refinements]") R2, class Comp = ranges::less,
class Proj1 = identity, class Proj2 = identity>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R1>, iterator_t<R2>> &&
[sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R2>, Comp, Proj2> &&
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<Comp, projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>>
constexpr ranges::partial_sort_copy_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
ranges::partial_sort_copy(R1&& r, R2&& result_r, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I1, I2> && [sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<I2, Comp, Proj2> &&
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<Comp, projected<I1, Proj1>, projected<I2, Proj2>>
ranges::partial_sort_copy_result<I1, I2>
ranges::partial_sort_copy(Ep&& exec, I1 first, S1 last, I2 result_first, S2 result_last,
Comp comp = {}, Proj1 proj1 = {},
Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
class Comp = ranges::less, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R1>, iterator_t<R2>> &&
[sortable](alg.req.sortable#concept:sortable "24.3.7.8Concept sortable[alg.req.sortable]")<iterator_t<R2>, Comp, Proj2> &&
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<Comp, projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>>
ranges::partial_sort_copy_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
ranges::partial_sort_copy(Ep&& exec, R1&& r, R2&& result_r, Comp comp = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#partial.sort.copy-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9076)
Let N be min(last - first, result_last - result_first)[.](#partial.sort.copy-1.sentence-1)
Let comp be less{}, andproj1 and proj2 be identity{} for the overloads with no parameters by those names[.](#partial.sort.copy-1.sentence-2)
[2](#partial.sort.copy-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9082)
*Mandates*: For the overloads in namespace std,
the expression *first is writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General")) to result_first[.](#partial.sort.copy-2.sentence-1)
[3](#partial.sort.copy-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9088)
*Preconditions*: For the overloads in namespace std,RandomAccessIterator meets
the [*Cpp17ValueSwappable*](swappable.requirements#:Cpp17ValueSwappable "16.4.4.3Swappable requirements[swappable.requirements]") requirements ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")),
the type of *result_first meets
the [*Cpp17MoveConstructible*](utility.arg.requirements#:Cpp17MoveConstructible "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [31](utility.arg.requirements#tab:cpp17.moveconstructible "Table 31: Cpp17MoveConstructible requirements")) and[*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements")) requirements[.](#partial.sort.copy-3.sentence-1)
[4](#partial.sort.copy-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9097)
For iterators a1 and b1 in [first, last), and
iterators x2 and y2 in [result_first, result_last),
after evaluating the assignment *y2 = *b1, let E be the value ofbool(invoke(comp, invoke(proj1, *a1), invoke(proj2, *y2))).
Then, after evaluating the assignment *x2 = *a1, E is equal tobool(invoke(comp, invoke(proj2, *x2), invoke(proj2, *y2))).
[*Note [1](#partial.sort.copy-note-1)*:
Writing a value from the input range into the output range does not affect
how it is ordered by comp and proj1 or proj2[.](#partial.sort.copy-4.sentence-2)
— *end note*]
[5](#partial.sort.copy-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9113)
*Effects*: Places the first N elements
as sorted with respect to comp and proj2 into the range [result_first, result_first + N)[.](#partial.sort.copy-5.sentence-1)
[6](#partial.sort.copy-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9119)
*Returns*:
- [(6.1)](#partial.sort.copy-6.1)
result_first + N for the overloads in namespace std[.](#partial.sort.copy-6.1.sentence-1)
- [(6.2)](#partial.sort.copy-6.2)
{last, result_first + N} for
the overloads in namespace ranges[.](#partial.sort.copy-6.2.sentence-1)
[7](#partial.sort.copy-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9129)
*Complexity*: Approximately (last - first) * log N comparisons,
and twice as many projections[.](#partial.sort.copy-7.sentence-1)
#### [26.8.2.5](#is.sorted) is_sorted [[is.sorted]](is.sorted)
[🔗](#lib:is_sorted)
`template<class ForwardIterator>
constexpr bool is_sorted(ForwardIterator first, ForwardIterator last);
`
[1](#is.sorted-1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9144)
*Effects*: Equivalent to: return is_sorted_until(first, last) == last;
[🔗](#lib:is_sorted_)
`template<class ExecutionPolicy, class ForwardIterator>
bool is_sorted(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
`
[2](#is.sorted-2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9157)
*Effects*: Equivalent to:return is_sorted_until(std::forward<ExecutionPolicy>(exec), first, last) == last;
[🔗](#lib:is_sorted__)
`template<class ForwardIterator, class Compare>
constexpr bool is_sorted(ForwardIterator first, ForwardIterator last,
Compare comp);
`
[3](#is.sorted-3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9173)
*Effects*: Equivalent to: return is_sorted_until(first, last, comp) == last;
[🔗](#lib:is_sorted___)
`template<class ExecutionPolicy, class ForwardIterator, class Compare>
bool is_sorted(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Compare comp);
`
[4](#is.sorted-4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9188)
*Effects*: Equivalent to:return is_sorted_until(std::forward<ExecutionPolicy>(exec), first, last, comp) == last;
[🔗](#lib:is_sorted____)
`template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
constexpr bool ranges::is_sorted(I first, S last, Comp comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
constexpr bool ranges::is_sorted(R&& r, Comp comp = {}, Proj proj = {});
`
[5](#is.sorted-5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9207)
*Effects*: Equivalent to:return ranges::is_sorted_until(first, last, comp, proj) == last;
[🔗](#is.sorted-itemdecl:6)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
bool ranges::is_sorted(Ep&& exec, I first, S last, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
bool ranges::is_sorted(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[6](#is.sorted-6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9224)
*Effects*: Equivalent to:return ranges::is_sorted_until(std::forward<Ep>(exec), first, last, comp, proj) == last;
[🔗](#lib:is_sorted_until)
`template<class ForwardIterator>
constexpr ForwardIterator
is_sorted_until(ForwardIterator first, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator
is_sorted_until(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
template<class ForwardIterator, class Compare>
constexpr ForwardIterator
is_sorted_until(ForwardIterator first, ForwardIterator last,
Compare comp);
template<class ExecutionPolicy, class ForwardIterator, class Compare>
ForwardIterator
is_sorted_until(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Compare comp);
template<[forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
constexpr I ranges::is_sorted_until(I first, S last, Comp comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
constexpr borrowed_iterator_t<R>
ranges::is_sorted_until(R&& r, Comp comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> Comp = ranges::less>
I ranges::is_sorted_until(Ep&& exec, I first, S last, Comp comp = {},
Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_strict_weak_order](indirectcallable.indirectinvocable#concept:indirect_strict_weak_order "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Comp = ranges::less>
borrowed_iterator_t<R>
ranges::is_sorted_until(Ep&& exec, R&& r, Comp comp = {}, Proj proj = {});
`
[7](#is.sorted-7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9272)
Let comp be less{} and proj be identity{} for the overloads with no parameters by those names[.](#is.sorted-7.sentence-1)
[8](#is.sorted-8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9277)
*Returns*: The last iterator i in [first, last]
for which the range [first, i)
is sorted with respect to comp and proj[.](#is.sorted-8.sentence-1)
[9](#is.sorted-9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L9283)
*Complexity*: Linear[.](#is.sorted-9.sentence-1)

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[alg.sorting.general]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#general)
### 26.8.1 General [alg.sorting.general]
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8666)
The operations in [[alg.sorting]](alg.sorting "26.8Sorting and related operations") defined directly in namespace std have two versions:
one that takes a function object of type Compare and
one that uses an operator<[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8672)
Compare is a function object type ([[function.objects]](function.objects "22.10Function objects"))
that meets the requirements for a template parameter
named BinaryPredicate ([[algorithms.requirements]](algorithms.requirements "26.2Algorithms requirements"))[.](#2.sentence-1)
The return value of the function call operation
applied to an object of type Compare,
when converted to bool,
yields true if the first argument of the call is less than the second, andfalse otherwise[.](#2.sentence-2)
Compare comp is used throughout
for algorithms assuming an ordering relation[.](#2.sentence-3)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8685)
For all algorithms that take Compare,
there is a version that uses operator< instead[.](#3.sentence-1)
That is, comp(*i, *j) != false defaults to *i < *j != false[.](#3.sentence-2)
For algorithms other than those described in [[alg.binary.search]](alg.binary.search "26.8.4Binary search"),comp shall induce a strict weak ordering on the values[.](#3.sentence-3)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8692)
The term [*strict*](#def:strict) refers to the requirement
of an irreflexive relation (!comp(x, x) for all x),
and the term [*weak*](#def:weak) to requirements
that are not as strong as those for a total ordering,
but stronger than those for a partial ordering[.](#4.sentence-1)
If we define equiv(a, b) as !comp(a, b) && !comp(b, a),
then the requirements are that comp and equiv both be transitive relations:
- [(4.1)](#4.1)
comp(a, b) && comp(b, c) implies comp(a, c)
- [(4.2)](#4.2)
equiv(a, b) && equiv(b, c) implies equiv(a, c)
[*Note [1](#note-1)*:
Under these conditions, it can be shown that
- [(4.3)](#4.3)
equiv is an equivalence relation,
- [(4.4)](#4.4)
comp induces a well-defined relation
on the equivalence classes determined by equiv, and
- [(4.5)](#4.5)
the induced relation is a strict total ordering[.](#4.sentence-2)
— *end note*]
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8718)
A sequence is [*sorted with respect to a comp and proj*](#def:sorted_with_respect_to_a_comp_and_proj) for a comparator and projection comp and proj if for every iterator i pointing to the sequence and
every non-negative integer n such that i + n is a valid iterator
pointing to an element of the sequence,bool(invoke(comp, invoke(proj, *(i + n)), invoke(proj, *i))) is false[.](#5.sentence-1)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8731)
A sequence is [*sorted with respect to a comparator comp*](#def:sorted_with_respect_to_a_comparator_comp) for a comparator comp if it is sorted with respect tocomp and identity{} (the identity projection)[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8738)
A sequence [start, finish) is[*partitioned with respect to an expression*](#def:partitioned_with_respect_to_an_expression) f(e) if there exists an integer n such that for all 0 <= i < (finish - start),f(*(start + i)) is true if and only if i < n[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8745)
In the descriptions of the functions that deal with ordering relationships
we frequently use a notion of equivalence to describe concepts
such as stability[.](#8.sentence-1)
The equivalence to which we refer is not necessarily an operator==,
but an equivalence relation induced by the strict weak ordering[.](#8.sentence-2)
That is, two elements a and b are considered equivalent
if and only if !(a < b) && !(b < a)[.](#8.sentence-3)

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[alg.starts.with]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.6 Non-modifying sequence operations [[alg.nonmodifying]](alg.nonmodifying#alg.starts.with)
### 26.6.16 Starts with [alg.starts.with]
[🔗](#lib:starts_with)
`template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
constexpr bool ranges::starts_with(I1 first1, S1 last1, I2 first2, S2 last2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, class Pred = ranges::equal_to, class Proj1 = identity,
class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
constexpr bool ranges::starts_with(R1&& r1, R2&& r2, Pred pred = {},
Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6045)
*Returns*: ranges::mismatch(std::move(first1), last1, std::move(first2), last2,
pred, proj1, proj2).in2 == last2
[🔗](#itemdecl:2)
`template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
class Pred = ranges::equal_to, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<I1, I2, Pred, Proj1, Proj2>
bool ranges::starts_with(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2, class Pred = ranges::equal_to,
class Proj1 = identity, class Proj2 = identity>
requires [indirectly_comparable](alg.req.ind.cmp#concept:indirectly_comparable "24.3.7.5Concept indirectly_­comparable[alg.req.ind.cmp]")<iterator_t<R1>, iterator_t<R2>, Pred, Proj1, Proj2>
bool ranges::starts_with(Ep&& exec, R1&& r1, R2&& r2,
Pred pred = {}, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6069)
*Returns*: ranges::mismatch(std::forward<Ep>(exec), std::move(first1), last1, std::move(first2),
last2, pred, proj1, proj2).in2 == last2

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[alg.swap]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.swap)
### 26.7.3 Swap [alg.swap]
[🔗](#lib:swap_ranges)
`template<class ForwardIterator1, class ForwardIterator2>
constexpr ForwardIterator2
swap_ranges(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator2
swap_ranges(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2>
requires [indirectly_swappable](alg.req.ind.swap#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")<I1, I2>
constexpr ranges::swap_ranges_result<I1, I2>
ranges::swap_ranges(I1 first1, S1 last1, I2 first2, S2 last2);
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2>
requires [indirectly_swappable](alg.req.ind.swap#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")<iterator_t<R1>, iterator_t<R2>>
constexpr ranges::swap_ranges_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
ranges::swap_ranges(R1&& r1, R2&& r2);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2>
requires [indirectly_swappable](alg.req.ind.swap#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")<I1, I2>
ranges::swap_ranges_result<I1, I2>
ranges::swap_ranges(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2);
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2>
requires [indirectly_swappable](alg.req.ind.swap#concept:indirectly_swappable "24.3.7.4Concept indirectly_­swappable[alg.req.ind.swap]")<iterator_t<R1>, iterator_t<R2>>
ranges::swap_ranges_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>>
ranges::swap_ranges(Ep&& exec, R1&& r1, R2&& r2);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6886)
Let:
- [(1.1)](#1.1)
last2 be first2 + (last1 - first1) for the overloads in namespace std with no parameter named last2;
- [(1.2)](#1.2)
M be min(last1 - first1, last2 - first2)[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6896)
*Preconditions*: The two ranges [first1, last1) and [first2, last2)
do not overlap[.](#2.sentence-1)
For the overloads in namespace std,*(first1 + n) is swappable with ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements"))*(first2 + n)[.](#2.sentence-2)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6904)
*Effects*: For each non-negative integer n<M performs:
- [(3.1)](#3.1)
swap(*(first1 + n), *(first2 + n)) for the overloads in namespace std;
- [(3.2)](#3.2)
ranges::iter_swap(first1 + n, first2 + n) for the overloads in namespace ranges[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6916)
*Returns*:
- [(4.1)](#4.1)
last2 for the overloads in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{first1 + M, first2 + M} for the overloads in namespace ranges[.](#4.2.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6927)
*Complexity*: Exactly M swaps[.](#5.sentence-1)
[🔗](#lib:iter_swap)
`template<class ForwardIterator1, class ForwardIterator2>
constexpr void iter_swap(ForwardIterator1 a, ForwardIterator2 b);
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6939)
*Preconditions*: a and b are dereferenceable[.](#6.sentence-1)
*a is
swappable with ([[swappable.requirements]](swappable.requirements "16.4.4.3Swappable requirements")) *b[.](#6.sentence-2)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L6944)
*Effects*: As if by swap(*a, *b)[.](#7.sentence-1)

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[alg.three.way]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.8 Sorting and related operations [[alg.sorting]](alg.sorting#alg.three.way)
### 26.8.12 Three-way comparison algorithms [alg.three.way]
[🔗](#lib:lexicographical_compare_three_way)
`template<class InputIterator1, class InputIterator2, class Cmp>
constexpr auto
lexicographical_compare_three_way(InputIterator1 b1, InputIterator1 e1,
InputIterator2 b2, InputIterator2 e2,
Cmp comp)
-> decltype(comp(*b1, *b2));
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11857)
Let N be min(e1 - b1, e2 - b2)[.](#1.sentence-1)
Let E(n) be comp(*(b1 + n), *(b2 + n))[.](#1.sentence-2)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11861)
*Mandates*: decltype(comp(*b1, *b2)) is a comparison category type[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11865)
*Returns*: E(i), where i is the smallest integer in [0, N)
such that E(i) != 0 is true, or(e1 - b1) <=> (e2 - b2) if no such integer exists[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11871)
*Complexity*: At most N applications of comp[.](#4.sentence-1)
[🔗](#lib:lexicographical_compare_three_way_)
`template<class InputIterator1, class InputIterator2>
constexpr auto
lexicographical_compare_three_way(InputIterator1 b1, InputIterator1 e1,
InputIterator2 b2, InputIterator2 e2);
`
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L11885)
*Effects*: Equivalent to:return lexicographical_compare_three_way(b1, e1, b2, e2, compare_three_way());

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[alg.transform]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.transform)
### 26.7.4 Transform [alg.transform]
[🔗](#lib:transform)
`template<class InputIterator, class OutputIterator,
class UnaryOperation>
constexpr OutputIterator
transform(InputIterator first1, InputIterator last1,
OutputIterator result, UnaryOperation op);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class UnaryOperation>
ForwardIterator2
transform(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 result, UnaryOperation op);
template<class InputIterator1, class InputIterator2,
class OutputIterator, class BinaryOperation>
constexpr OutputIterator
transform(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, OutputIterator result,
BinaryOperation binary_op);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class ForwardIterator, class BinaryOperation>
ForwardIterator
transform(ExecutionPolicy&& exec,
ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator result,
BinaryOperation binary_op);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
[copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F, class Proj = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, indirect_result_t<F&, projected<I, Proj>>>
constexpr ranges::unary_transform_result<I, O>
ranges::transform(I first1, S last1, O result, F op, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F,
class Proj = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, indirect_result_t<F&, projected<iterator_t<R>, Proj>>>
constexpr ranges::unary_transform_result<borrowed_iterator_t<R>, O>
ranges::transform(R&& r, O result, F op, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS,
[copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F, class Proj = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, indirect_result_t<F&, projected<I, Proj>>>
ranges::unary_transform_result<I, O>
ranges::transform(Ep&& exec, I first1, S last1, O result, OutS result_last,
F op, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR,
[copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F, class Proj = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<OutR>,
indirect_result_t<F&, projected<iterator_t<R>, Proj>>>
ranges::unary_transform_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::transform(Ep&& exec, R&& r, OutR&& result_r, F op, Proj proj = {});
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I1, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I1> S1, [input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I2, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I2> S2,
[weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F, class Proj1 = identity,
class Proj2 = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, indirect_result_t<F&, projected<I1, Proj1>,
projected<I2, Proj2>>>
constexpr ranges::binary_transform_result<I1, I2, O>
ranges::transform(I1 first1, S1 last1, I2 first2, S2 last2, O result,
F binary_op, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R1, [input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R2, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O,
[copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, indirect_result_t<F&, projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>>>
constexpr ranges::binary_transform_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>, O>
ranges::transform(R1&& r1, R2&& r2, O result,
F binary_op, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I1, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I1> S1,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I2, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I2> S2,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS,
[copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F, class Proj1 = identity, class Proj2 = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<O, indirect_result_t<F&, projected<I1, Proj1>,
projected<I2, Proj2>>>
ranges::binary_transform_result<I1, I2, O>
ranges::transform(Ep&& exec, I1 first1, S1 last1, I2 first2, S2 last2,
O result, OutS result_last,
F binary_op, Proj1 proj1 = {}, Proj2 proj2 = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R1, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R2,
[sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR, [copy_constructible](concept.copyconstructible#concept:copy_constructible "18.4.14Concept copy_­constructible[concept.copyconstructible]") F,
class Proj1 = identity, class Proj2 = identity>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3Concept indirectly_­writable[iterator.concept.writable]")<iterator_t<OutR>,
indirect_result_t<F&, projected<iterator_t<R1>, Proj1>,
projected<iterator_t<R2>, Proj2>>>
ranges::binary_transform_result<borrowed_iterator_t<R1>, borrowed_iterator_t<R2>,
borrowed_iterator_t<OutR>>
ranges::transform(Ep&& exec, R1&& r1, R2&& r2, OutR&& result_r,
F binary_op, Proj1 proj1 = {}, Proj2 proj2 = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7043)
Let:
- [(1.1)](#1.1)
last2 be first2 + (last1 - first1) for the overloads in namespace std with parameter first2 but no parameter last2;
- [(1.2)](#1.2)
M be last1 - first1 for unary transforms, or min(last1 - first1, last2 - first2) for binary transforms;
- [(1.3)](#1.3)
result_last be result + M for the overloads with no parameter result_last or result_r;
- [(1.4)](#1.4)
N be min(M, result_last - result);
- [(1.5)](#1.5)
E(i) be
* [(1.5.1)](#1.5.1)
op(*(first1 + (i - result))) for unary transforms defined in namespace std;
* [(1.5.2)](#1.5.2)
binary_op(*(first1 + (i - result)), *(first2 + (i - result))) for binary transforms defined in namespace std;
* [(1.5.3)](#1.5.3)
invoke(op, invoke(proj, *(first1 + (i - result)))) for unary transforms defined in namespace ranges;
* [(1.5.4)](#1.5.4)
invoke(binary_op, invoke(proj1, *(first1 + (i - result))), invoke(proj2, *(first2 + (i - result)))) for binary transforms defined in namespace ranges[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7078)
*Preconditions*: For parallel algorithm overloadsop and binary_op satisfy the requirements
specified in [[algorithms.parallel.user]](algorithms.parallel.user "26.3.2Requirements on user-provided function objects")[.](#2.sentence-1)
op and binary_op do not invalidate iterators or subranges, nor
modify elements in the ranges
- [(2.1)](#2.1)
[first1, first1 + N],
- [(2.2)](#2.2)
[first2, first2 + N], and
- [(2.3)](#2.3)
[result, result + N][.](#2.sentence-2)[203](#footnote-203 "The use of fully closed ranges is intentional.")
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7094)
*Effects*: Assigns through every iterator i in the range [result, result + N)
a new corresponding value equal to E(i)[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7100)
*Returns*:
- [(4.1)](#4.1)
result + N for the overloads defined in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{first1 + N, result + N} for unary transforms defined in namespace ranges[.](#4.2.sentence-1)
- [(4.3)](#4.3)
{first1 + N, first2 + N, result + N} for binary transforms defined in namespace ranges[.](#4.3.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7114)
*Complexity*: Exactly N applications of op or binary_op, and
any projections[.](#5.sentence-1)
This requirement also applies to the parallel algorithm overloads[.](#5.sentence-2)
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7120)
*Remarks*: result may be equal to first1 or first2[.](#6.sentence-1)
[203)](#footnote-203)[203)](#footnoteref-203)
The use of fully closed ranges is intentional[.](#footnote-203.sentence-1)

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[alg.unique]
# 26 Algorithms library [[algorithms]](./#algorithms)
## 26.7 Mutating sequence operations [[alg.modifying.operations]](alg.modifying.operations#alg.unique)
### 26.7.9 Unique [alg.unique]
[🔗](#lib:unique)
`template<class ForwardIterator>
constexpr ForwardIterator unique(ForwardIterator first, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
ForwardIterator unique(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
template<class ForwardIterator, class BinaryPredicate>
constexpr ForwardIterator unique(ForwardIterator first, ForwardIterator last,
BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator, class BinaryPredicate>
ForwardIterator unique(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
BinaryPredicate pred);
template<[permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> C = ranges::equal_to>
constexpr subrange<I> ranges::unique(I first, S last, C comp = {}, Proj proj = {});
template<[forward_range](range.refinements#concept:forward_range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> C = ranges::equal_to>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
constexpr borrowed_subrange_t<R>
ranges::unique(R&& r, C comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> C = ranges::equal_to>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<I>
subrange<I> ranges::unique(Ep&& exec, I first, S last, C comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> C = ranges::equal_to>
requires [permutable](alg.req.permutable#concept:permutable "24.3.7.6Concept permutable[alg.req.permutable]")<iterator_t<R>>
borrowed_subrange_t<R> ranges::unique(Ep&& exec, R&& r, C comp = {}, Proj proj = {});
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7837)
Let pred be equal_to{} for the overloads with no parameter pred, and
let E be
- [(1.1)](#1.1)
bool(pred(*(i - 1), *i)) for the overloads in namespace std;
- [(1.2)](#1.2)
bool(invoke(comp, invoke(proj, *(i - 1)), invoke(proj, *i))) for the overloads in namespace ranges[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7851)
*Preconditions*: For the overloads in namespace std,pred is an equivalence relation and
the type of *first meets
the [*Cpp17MoveAssignable*](utility.arg.requirements#:Cpp17MoveAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") requirements (Table [33](utility.arg.requirements#tab:cpp17.moveassignable "Table 33: Cpp17MoveAssignable requirements"))[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7858)
*Effects*: For a nonempty range, eliminates all but the first element
from every consecutive group of equivalent elements referred to
by the iterator i in the range [first + 1, last)
for which E is true[.](#3.sentence-1)
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7865)
*Returns*: Let j be the end of the resulting range[.](#4.sentence-1)
Returns:
- [(4.1)](#4.1)
j for the overloads in namespace std[.](#4.1.sentence-1)
- [(4.2)](#4.2)
{j, last} for the overloads in namespace ranges[.](#4.2.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7873)
*Complexity*: For nonempty ranges, exactly (last - first) - 1 applications
of the corresponding predicate and
no more than twice as many applications of any projection[.](#5.sentence-1)
[🔗](#lib:unique_copy)
`template<class InputIterator, class OutputIterator>
constexpr OutputIterator
unique_copy(InputIterator first, InputIterator last,
OutputIterator result);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2>
ForwardIterator2
unique_copy(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result);
template<class InputIterator, class OutputIterator,
class BinaryPredicate>
constexpr OutputIterator
unique_copy(InputIterator first, InputIterator last,
OutputIterator result, BinaryPredicate pred);
template<class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2,
class BinaryPredicate>
ForwardIterator2
unique_copy(ExecutionPolicy&& exec,
ForwardIterator1 first, ForwardIterator1 last,
ForwardIterator2 result, BinaryPredicate pred);
template<[input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7Concept sentinel_­for[iterator.concept.sentinel]")<I> S, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> C = ranges::equal_to>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O> &&
([forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")<I> ||
([input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]")<O> && [same_as](concept.same#concept:same_as "18.4.2Concept same_­as[concept.same]")<iter_value_t<I>, iter_value_t<O>>) ||
[indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>)
constexpr ranges::unique_copy_result<I, O>
ranges::unique_copy(I first, S last, O result, C comp = {}, Proj proj = {});
template<[input_range](range.refinements#concept:input_range "25.4.6Other range refinements[range.refinements]") R, [weakly_incrementable](iterator.concept.winc#concept:weakly_incrementable "24.3.4.4Concept weakly_­incrementable[iterator.concept.winc]") O, class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> C = ranges::equal_to>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O> &&
([forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]")<iterator_t<R>> ||
([input_iterator](iterator.concept.input#concept:input_iterator "24.3.4.9Concept input_­iterator[iterator.concept.input]")<O> && [same_as](concept.same#concept:same_as "18.4.2Concept same_­as[concept.same]")<range_value_t<R>, iter_value_t<O>>) ||
[indirectly_copyable_storable](alg.req.ind.copy#concept:indirectly_copyable_storable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, O>)
constexpr ranges::unique_copy_result<borrowed_iterator_t<R>, O>
ranges::unique_copy(R&& r, O result, C comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13Concept random_­access_­iterator[iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8Concept sized_­sentinel_­for[iterator.concept.sizedsentinel]")<O> OutS, class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<I, Proj>> C = ranges::equal_to>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<I, O>
ranges::unique_copy_result<I, O>
ranges::unique_copy(Ep&& exec, I first, S last, O result, OutS result_last,
C comp = {}, Proj proj = {});
template<[execution-policy](algorithms.parallel.defns#concept:execution-policy "26.3.1Preamble[algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6Other range refinements[range.refinements]") OutR,
class Proj = identity,
[indirect_equivalence_relation](indirectcallable.indirectinvocable#concept:indirect_equivalence_relation "24.3.6.3Indirect callables[indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> C = ranges::equal_to>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3Concept indirectly_­copyable[alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>>
ranges::unique_copy_result<borrowed_iterator_t<R>, borrowed_iterator_t<OutR>>
ranges::unique_copy(Ep&& exec, R&& r, OutR&& result_r, C comp = {}, Proj proj = {});
`
[6](#6)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7937)
Let pred be equal_to{} for the overloads
in namespace std with no parameter pred, and
let E(i) be
- [(6.1)](#6.1)
bool(pred(*i, *(i - 1))) for the overloads in namespace std;
- [(6.2)](#6.2)
bool(invoke(comp, invoke(proj, *i), invoke(proj, *(i - 1)))) for the overloads in namespace ranges[.](#6.sentence-1)
[7](#7)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7951)
Let:
- [(7.1)](#7.1)
M be the number of iterators i in the range [first + 1, last)
for which E(i) is false;
- [(7.2)](#7.2)
result_last be result + M + 1 for the overloads with no parameter result_last or result_r;
- [(7.3)](#7.3)
N be min(M+1, result_last - result)[.](#7.sentence-1)
[8](#8)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7964)
*Mandates*: *first is writable ([[iterator.requirements.general]](iterator.requirements.general "24.3.1General")) to result[.](#8.sentence-1)
[9](#9)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L7968)
*Preconditions*:
- [(9.1)](#9.1)
The ranges [first, last) and [result, result + N)
do not overlap[.](#9.1.sentence-1)
- [(9.2)](#9.2)
For the overloads in namespace std:
* [(9.2.1)](#9.2.1)
The comparison function is an equivalence relation[.](#9.2.1.sentence-1)
* [(9.2.2)](#9.2.2)
For the overloads with no ExecutionPolicy,
let T be the value type of InputIterator[.](#9.2.2.sentence-1)
If InputIterator models [forward_iterator](iterator.concept.forward#concept:forward_iterator "24.3.4.11Concept forward_­iterator[iterator.concept.forward]") ([[iterator.concept.forward]](iterator.concept.forward "24.3.4.11Concept forward_­iterator")),
then there are no additional requirements for T[.](#9.2.2.sentence-2)
Otherwise, if OutputIterator meets
the [*Cpp17ForwardIterator*](forward.iterators#:Cpp17ForwardIterator "24.3.5.5Forward iterators[forward.iterators]") requirements and
its value type is the same as T,
then T meets
the [*Cpp17CopyAssignable*](utility.arg.requirements#:Cpp17CopyAssignable "16.4.4.2Template argument requirements[utility.arg.requirements]") (Table [34](utility.arg.requirements#tab:cpp17.copyassignable "Table 34: Cpp17CopyAssignable requirements (in addition to Cpp17MoveAssignable)")) requirements[.](#9.2.2.sentence-3)
Otherwise, T meets both
the *Cpp17CopyConstructible* (Table [32](utility.arg.requirements#tab:cpp17.copyconstructible "Table 32: Cpp17CopyConstructible requirements (in addition to Cpp17MoveConstructible)")) and *Cpp17CopyAssignable* requirements[.](#9.2.2.sentence-4)
[*Note [1](#note-1)*:
For the parallel algorithm overloads in namespace std,
there can be a performance cost
if the value type of ForwardIterator1 does not meet both the*Cpp17CopyConstructible* and *Cpp17CopyAssignable* requirements[.](#9.sentence-2)
For the parallel algorithm overloads in namespace ranges,
there can be a performance cost if iter_value_t<I> does not model [copyable](concepts.object#concept:copyable "18.6Object concepts[concepts.object]")[.](#9.sentence-3)
— *end note*]
[10](#10)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8005)
*Effects*: Copies only the first element from N consecutive groups of equivalent elements
referred to by the iterator i in the range [first + 1, last)
for which E(i) holds
into the range [result, result + N)[.](#10.sentence-1)
[11](#11)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8012)
*Returns*:
- [(11.1)](#11.1)
result + N for the overloads in namespace std[.](#11.1.sentence-1)
- [(11.2)](#11.2)
{last, result + N} for the overloads in namespace ranges,
if N is equal to M+1[.](#11.2.sentence-1)
- [(11.3)](#11.3)
Otherwise, {j, result_last} for the overloads in namespace ranges,
where j is the iterator in [first + 1, last)
for which E(j) is false and there are exactly N−1 iterators i in [first + 1, j)
for which E(i) is false[.](#11.3.sentence-1)
[12](#12)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L8031)
*Complexity*: At most last - first - 1 applications
of the corresponding predicate
and no more than twice as many applications of any projection[.](#12.sentence-1)