depish/cppdraft_translate
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

Init

Browse Source
This commit is contained in:
Leonov Artur (Depish)
2025-10-25 03:02:53 +03:00
commit 043225d523
3416 changed files with 681196 additions and 0 deletions
Download Patch File Download Diff File Expand all files Collapse all files

309
cppdraft/alg/replace.md Normal file
View File

@@ -0,0 +1,309 @@
[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 "24.3.4.9 Concept input_­iterator [iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7 Concept 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 "24.3.4.3 Concept indirectly_­writable [iterator.concept.writable]")<I, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect 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 "25.4.6 Other 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 "24.3.4.3 Concept indirectly_­writable [iterator.concept.writable]")<iterator_t<R>, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13 Concept random_­access_­iterator [iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8 Concept 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 "24.3.4.3 Concept indirectly_­writable [iterator.concept.writable]")<I, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6 Other 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 "24.3.4.3 Concept indirectly_­writable [iterator.concept.writable]")<iterator_t<R>, const T2&> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect 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 "24.3.4.9 Concept input_­iterator [iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7 Concept 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 "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "25.4.6 Other 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 "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13 Concept random_­access_­iterator [iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8 Concept 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 "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6 Other 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 "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "24.3.1 General")) 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 "24.3.4.9 Concept input_­iterator [iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7 Concept 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 "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<I, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T1*> &&
[output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10 Concept 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 "25.4.6 Other 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 "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<iterator_t<R>, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<ranges::equal_to, projected<iterator_t<R>, Proj>, const T1*>
&& [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10 Concept 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13 Concept random_­access_­iterator [iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8 Concept sized_­sentinel_­for [iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13 Concept random_­access_­iterator [iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8 Concept 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 "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<I, O> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<ranges::equal_to, projected<I, Proj>, const T1*> &&
[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6 Other range refinements [range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6 Other 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 "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>> &&
[indirect_binary_predicate](indirectcallable.indirectinvocable#concept:indirect_binary_predicate "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<ranges::equal_to,
projected<iterator_t<R>, Proj>, const T1*> &&
[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "24.3.4.9 Concept input_­iterator [iterator.concept.input]") I, [sentinel_for](iterator.concept.sentinel#concept:sentinel_for "24.3.4.7 Concept 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 "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<I, O> && [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10 Concept 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 "25.4.6 Other 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 "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<iterator_t<R>, O> && [output_iterator](iterator.concept.output#concept:output_iterator "24.3.4.10 Concept 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13 Concept random_­access_­iterator [iterator.concept.random.access]") I, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8 Concept sized_­sentinel_­for [iterator.concept.sizedsentinel]")<I> S,
[random_access_iterator](iterator.concept.random.access#concept:random_access_iterator "24.3.4.13 Concept random_­access_­iterator [iterator.concept.random.access]") O, [sized_sentinel_for](iterator.concept.sizedsentinel#concept:sized_sentinel_for "24.3.4.8 Concept 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 "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<I, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<I, O> && [indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "26.3.1 Preamble [algorithms.parallel.defns]") Ep, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6 Other range refinements [range.refinements]") R, [sized-random-access-range](range.refinements#concept:sized-random-access-range "25.4.6 Other range refinements [range.refinements]") OutR,
class T = range_value_t<OutR>, class Proj = identity,
[indirect_unary_predicate](indirectcallable.indirectinvocable#concept:indirect_unary_predicate "24.3.6.3 Indirect callables [indirectcallable.indirectinvocable]")<projected<iterator_t<R>, Proj>> Pred>
requires [indirectly_copyable](alg.req.ind.copy#concept:indirectly_copyable "24.3.7.3 Concept indirectly_­copyable [alg.req.ind.copy]")<iterator_t<R>, iterator_t<OutR>> &&
[indirectly_writable](iterator.concept.writable#concept:indirectly_writable "24.3.4.3 Concept 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 "24.3.1 General")) 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)