All the operations in [alg.sorting] have two versions: one that takes a function object of type Compare and one that uses an operator<.
Compare is a function object type. The return value of the function call operation applied to an object of type Compare, when contextually converted to bool, yields true if the first argument of the call is less than the second, and false otherwise. Compare comp is used throughout for algorithms assuming an ordering relation. It is assumed that comp will not apply any non-constant function through the dereferenced iterator.
For all algorithms that take Compare, there is a version that uses operator< instead. That is, comp(*i, *j) != false defaults to *i < *j != false. For algorithms other than those described in [alg.binary.search], comp shall induce a strict weak ordering on the values.
The term strict refers to the requirement of an irreflexive relation (!comp(x, x) for all x), and the term weak to requirements that are not as strong as those for a total ordering, but stronger than those for a partial ordering. 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:
comp(a, b) && comp(b, c) implies comp(a, c)
equiv(a, b) && equiv(b, c) implies equiv(a, c)
[ Note: Under these conditions, it can be shown that
equiv is an equivalence relation
comp induces a well-defined relation on the equivalence classes determined by equiv
The induced relation is a strict total ordering.
— end note ]
A sequence is sorted with respect to a comparator comp 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, comp(*(i + n), *i) == false.
A sequence [start, finish) is 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.
In the descriptions of the functions that deal with ordering relationships we frequently use a notion of equivalence to describe concepts such as stability. The equivalence to which we refer is not necessarily an operator==, but an equivalence relation induced by the strict weak ordering. That is, two elements a and b are considered equivalent if and only if !(a < b) && !(b < a).
template<class RandomAccessIterator>
void sort(RandomAccessIterator first, RandomAccessIterator last);
template<class ExecutionPolicy, class RandomAccessIterator>
void sort(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
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);
Requires: RandomAccessIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
template<class RandomAccessIterator>
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>
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);
Requires: RandomAccessIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
Complexity: At most Nlog2(N) comparisons, where N=last - first, but only NlogN comparisons if there is enough extra memory.
template<class RandomAccessIterator>
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>
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);
Requires: RandomAccessIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
template<class InputIterator, class RandomAccessIterator>
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>
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);
Requires: RandomAccessIterator shall satisfy the requirements of ValueSwappable. The type of *result_first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
Effects: Places the first min(last - first, result_last - result_first) sorted elements into the range [result_first, result_first + min(last - first, result_last - result_first)).
template<class ForwardIterator>
bool is_sorted(ForwardIterator first, ForwardIterator last);
template<class ExecutionPolicy, class ForwardIterator>
bool is_sorted(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last);
template<class ForwardIterator, class Compare>
bool is_sorted(ForwardIterator first, ForwardIterator last,
Compare comp);
template<class ExecutionPolicy, class ForwardIterator, class Compare>
bool is_sorted(ExecutionPolicy&& exec,
ForwardIterator first, ForwardIterator last,
Compare comp);
template<class ForwardIterator>
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>
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);
Returns: If (last - first) < 2, returns last. Otherwise, returns the last iterator i in [first, last] for which the range [first, i) is sorted.
template<class RandomAccessIterator>
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>
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);
Requires: RandomAccessIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
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, unless nth == last. Also for every iterator i in the range [first, nth) and every iterator j in the range [nth, last) it holds that: !(*j < *i) or comp(*j, *i) == false.
All of the algorithms in this section 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 implied or explicit comparison function. They work on non-random access iterators minimizing the number of comparisons, which will be logarithmic for all types of iterators. They are especially appropriate for random access iterators, because these algorithms do a logarithmic number of steps through the data structure. For non-random access iterators they execute a linear number of steps.
template<class ForwardIterator, class T>
ForwardIterator
lower_bound(ForwardIterator first, ForwardIterator last,
const T& value);
template<class ForwardIterator, class T, class Compare>
ForwardIterator
lower_bound(ForwardIterator first, ForwardIterator last,
const T& value, Compare comp);
Requires: The elements e of [first, last) shall be partitioned with respect to the expression e < value or comp(e, value).
Returns: The furthermost iterator i in the range [first, last] such that for every iterator j in the range [first, i) the following corresponding conditions hold: *j < value or comp(*j, value) != false.
template<class ForwardIterator, class T>
ForwardIterator
upper_bound(ForwardIterator first, ForwardIterator last,
const T& value);
template<class ForwardIterator, class T, class Compare>
ForwardIterator
upper_bound(ForwardIterator first, ForwardIterator last,
const T& value, Compare comp);
Requires: The elements e of [first, last) shall be partitioned with respect to the expression !(value < e) or !comp(value, e).
Returns: The furthermost iterator i in the range [first, last] such that for every iterator j in the range [first, i) the following corresponding conditions hold: !(value < *j) or comp(value, *j) == false.
template<class ForwardIterator, class T>
pair<ForwardIterator, ForwardIterator>
equal_range(ForwardIterator first,
ForwardIterator last, const T& value);
template<class ForwardIterator, class T, class Compare>
pair<ForwardIterator, ForwardIterator>
equal_range(ForwardIterator first,
ForwardIterator last, const T& value,
Compare comp);
Requires: The elements e of [first, last) shall be partitioned with respect to the expressions e < value and !(value < e) or comp(e, value) and !comp(value, e). Also, for all elements e of [first, last), e < value shall imply !(value < e) or comp(e, value) shall imply !comp(value, e).
Returns:
make_pair(lower_bound(first, last, value),
upper_bound(first, last, value))or
make_pair(lower_bound(first, last, value, comp),
upper_bound(first, last, value, comp))template<class ForwardIterator, class T>
bool binary_search(ForwardIterator first, ForwardIterator last,
const T& value);
template<class ForwardIterator, class T, class Compare>
bool binary_search(ForwardIterator first, ForwardIterator last,
const T& value, Compare comp);
Requires: The elements e of [first, last) are partitioned with respect to the expressions e < value and !(value < e) or comp(e, value) and !comp(value, e). Also, for all elements e of [first, last), e < value implies !(value < e) or comp(e, value) implies !comp(value, e).
Returns: true if there is an iterator i in the range [first, last) that satisfies the corresponding conditions: !(*i < value) && !(value < *i) or comp(*i, value) == false && comp(value, *i) == false.
template <class InputIterator, class Predicate>
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);
Requires: For the overload with no ExecutionPolicy, InputIterator's value type shall be convertible to Predicate's argument type. For the overload with an ExecutionPolicy, ForwardIterator's value type shall be convertible to Predicate's argument type.
Returns: true if [first, last) is empty or if [first, last) is partitioned by pred, i.e. if all elements that satisfy pred appear before those that do not.
template<class ForwardIterator, class Predicate>
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);
Requires: ForwardIterator shall satisfy the requirements of ValueSwappable.
Effects: Places all the elements in the range [first, last) that satisfy pred before all the elements that do not satisfy it.
Returns: An iterator i such that for every iterator j in the range [first, i) pred(*j) != false, and for every iterator k in the range [i, last), pred(*k) == false.
Complexity: Let N=last - first:
For the overload with no ExecutionPolicy, exactly N applications of the predicate. At most N/2 swaps if ForwardIterator meets the BidirectionalIterator requirements and at most N swaps otherwise.
For the overload with an ExecutionPolicy, O(NlogN) swaps and O(N) applications of the predicate.
template<class BidirectionalIterator, class Predicate>
BidirectionalIterator
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);
Requires: BidirectionalIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
Effects: Places all the elements in the range [first, last) that satisfy pred before all the elements that do not satisfy it.
Returns: An iterator i such that for every iterator j in the range [first, i), pred(*j) != false, and for every iterator k in the range [i, last), pred(*k) == false. The relative order of the elements in both groups is preserved.
Complexity: Let N = last - first:
For the overload with no ExecutionPolicy, at most NlogN swaps, but only O(N) swaps if there is enough extra memory. Exactly N applications of the predicate.
For the overload with an ExecutionPolicy, O(NlogN) swaps and O(N) applications of the predicate.
template <class InputIterator, class OutputIterator1,
class OutputIterator2, class Predicate>
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);
Requires:
For the overload with no ExecutionPolicy, InputIterator's value type shall be CopyAssignable (Table 26), and shall be writable ([iterator.requirements.general]) to the out_true and out_false OutputIterators, and shall be convertible to Predicate's argument type.
For the overload with an ExecutionPolicy, ForwardIterator's value type shall be CopyAssignable, and shall be writable to the out_true and out_false ForwardIterators, and shall be convertible to Predicate's argument type. [ Note: There may be a performance cost if ForwardIterator's value type is not CopyConstructible. — end note ]
For both overloads, the input range shall not overlap with either of the output ranges.
Effects: For each iterator i in [first, last), copies *i to the output range beginning with out_true if pred(*i) is true, or to the output range beginning with out_false otherwise.
Returns: A pair p such that p.first is the end of the output range beginning at out_true and p.second is the end of the output range beginning at out_false.
template<class ForwardIterator, class Predicate>
ForwardIterator partition_point(ForwardIterator first,
ForwardIterator last,
Predicate pred);
Requires: ForwardIterator's value type shall be convertible to Predicate's argument type. [first, last) shall be partitioned by pred, i.e. all elements that satisfy pred shall appear before those that do not.
Returns: An iterator mid such that all_of(first, mid, pred) and none_of(mid, last, pred) are both true.
template<class InputIterator1, class InputIterator2,
class OutputIterator>
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>
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);
Requires: The ranges [first1, last1) and [first2, last2) shall be sorted with respect to operator< or comp. The resulting range shall not overlap with either of the original ranges.
Effects: Copies all the elements of the two ranges [first1, last1) and [first2, last2) into the range [result, result_last), where result_last is result + (last1 - first1) + (last2 - first2), such that the resulting range satisfies is_sorted(result, result_last) or is_sorted(result, result_last, comp), respectively.
template<class BidirectionalIterator>
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>
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);
Requires: The ranges [first, middle) and [middle, last) shall be sorted with respect to operator< or comp. BidirectionalIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
Effects: Merges two sorted consecutive ranges [first, middle) and [middle, last), putting the result of the merge into the range [first, last). The resulting range will be in non-decreasing order; that is, for every iterator i in [first, last) other than first, the condition *i < *(i - 1) or, respectively, comp(*i, *(i - 1)) will be false.
Complexity: Let N=last - first:
For the overloads with no ExecutionPolicy, if enough additional memory is available, exactly N−1 comparisons.
For the overloads with no ExecutionPolicy if no additional memory is available, O(NlogN) comparisons.
For the overloads with an ExecutionPolicy, O(NlogN) comparisons.
This section defines all the basic set operations on sorted structures. They also work with multisets containing multiple copies of equivalent elements. 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.
template<class InputIterator1, class InputIterator2>
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>
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);
Returns: true if [first2, last2) is empty or if every element in the range [first2, last2) is contained in the range [first1, last1). Returns false otherwise.
template<class InputIterator1, class InputIterator2,
class OutputIterator>
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>
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);
Effects: Constructs a sorted union of the elements from the two ranges; that is, the set of elements that are present in one or both of the ranges.
Remarks: 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 shall be copied to the output range, in order, and then max(n−m,0) elements from the second range shall be copied to the output range, in order.
template<class InputIterator1, class InputIterator2,
class OutputIterator>
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>
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);
Effects: Constructs a sorted intersection of the elements from the two ranges; that is, the set of elements that are present in both of the ranges.
template<class InputIterator1, class InputIterator2,
class OutputIterator>
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>
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);
Effects: Copies the elements of the range [first1, last1) which are not present in the range [first2, last2) to the range beginning at result. The elements in the constructed range are sorted.
template<class InputIterator1, class InputIterator2,
class OutputIterator>
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>
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);
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 beginning at result. The elements in the constructed range are sorted.
Remarks: 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.
A heap is a particular organization of elements in a range between two random access iterators [a, b) such that:
With N = b - a, for all i, 0<i<N, comp(a[⌊i−12⌋], a[i]) is false.
*a may be removed by pop_heap(), or a new element added by push_heap(), in O(logN) time.
template<class RandomAccessIterator>
void push_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
void push_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
Requires: The range [first, last - 1) shall be a valid heap. The type of *first shall satisfy the MoveConstructible requirements and the MoveAssignable requirements.
template<class RandomAccessIterator>
void pop_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
void pop_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
Requires: The range [first, last) shall be a valid non-empty heap. RandomAccessIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
Effects: Swaps the value in the location first with the value in the location last - 1 and makes [first, last - 1) into a heap.
template<class RandomAccessIterator>
void make_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
void make_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
Requires: The type of *first shall satisfy the MoveConstructible requirements and the MoveAssignable requirements.
template<class RandomAccessIterator>
void sort_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
void sort_heap(RandomAccessIterator first, RandomAccessIterator last,
Compare comp);
Requires: The range [first, last) shall be a valid heap. RandomAccessIterator shall satisfy the requirements of ValueSwappable. The type of *first shall satisfy the requirements of MoveConstructible and of MoveAssignable.
template<class RandomAccessIterator>
bool is_heap(RandomAccessIterator first, RandomAccessIterator last);
template<class ExecutionPolicy, class RandomAccessIterator>
bool is_heap(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last);
template<class RandomAccessIterator, class Compare>
bool is_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp);
template<class ExecutionPolicy, class RandomAccessIterator, class Compare>
bool is_heap(ExecutionPolicy&& exec,
RandomAccessIterator first, RandomAccessIterator last, Compare comp);
template<class RandomAccessIterator>
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>
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);
Returns: If (last - first) < 2, returns last. Otherwise, returns the last iterator i in [first, last] for which the range [first, i) is a heap.
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);
Requires: For the first form, type T shall be LessThanComparable.
template<class T>
constexpr T min(initializer_list<T> t);
template<class T, class Compare>
constexpr T min(initializer_list<T> t, Compare comp);
Requires: T shall be CopyConstructible and t.size() > 0. For the first form, type T shall be LessThanComparable.
Remarks: Returns a copy of the leftmost argument when several arguments are equivalent to the smallest.
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);
Requires: For the first form, type T shall be LessThanComparable.
template<class T>
constexpr T max(initializer_list<T> t);
template<class T, class Compare>
constexpr T max(initializer_list<T> t, Compare comp);
Requires: T shall be CopyConstructible and t.size() > 0. For the first form, type T shall be LessThanComparable.
Remarks: Returns a copy of the leftmost argument when several arguments are equivalent to the largest.
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);
Requires: For the first form, type T shall be LessThanComparable.
Returns: pair<const T&, const T&>(b, a) if b is smaller than a, and pair<const T&, const T&>(a, b) otherwise.
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);
Requires: T shall be CopyConstructible and t.size() > 0. For the first form, type T shall be LessThanComparable.
Returns: pair<T, T>(x, y), where x has the smallest and y has the largest value in the initializer list.
Remarks: x is a copy of the leftmost argument when several arguments are equivalent to the smallest. y is a copy of the rightmost argument when several arguments are equivalent to the largest.
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);
Returns: The first iterator i in the range [first, last) such that for every iterator j in the range [first, last) the following corresponding conditions hold: !(*j < *i) or comp(*j, *i) == false. Returns last if first == last.
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);
Returns: The first iterator i in the range [first, last) such that for every iterator j in the range [first, last) the following corresponding conditions hold: !(*i < *j) or comp(*i, *j) == false. Returns last if first == last.
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);
Returns: make_pair(first, first) if [first, last) is empty, otherwise make_pair(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 iterator266 in [first, last) such that no iterator in the range refers to a larger element.
Complexity: At most max(⌊32(N−1)⌋,0) applications of the corresponding predicate, where N is last - first.
This behavior intentionally differs from max_element().
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);
Requires: The value of lo shall be no greater than hi. For the first form, type T shall be LessThanComparable.
template<class InputIterator1, class InputIterator2>
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>
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);
Returns: true 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) and false otherwise.
Complexity: At most 2min(last1 - first1, last2 - first2) applications of the corresponding comparison.
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. If one sequence is a prefix of the other, then the shorter sequence is lexicographically less than the longer sequence. 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.
[ Example: The following sample implementation satisfies these requirements:
for ( ; first1 != last1 && first2 != last2 ; ++first1, (void) ++first2) {
if (*first1 < *first2) return true;
if (*first2 < *first1) return false;
}
return first1 == last1 && first2 != last2;— end example ]
template<class BidirectionalIterator>
bool next_permutation(BidirectionalIterator first,
BidirectionalIterator last);
template<class BidirectionalIterator, class Compare>
bool next_permutation(BidirectionalIterator first,
BidirectionalIterator last, Compare comp);
Requires: BidirectionalIterator shall satisfy the requirements of ValueSwappable.
Effects: Takes a sequence defined by the range [first, last) and transforms it into the next permutation. The next permutation is found by assuming that the set of all permutations is lexicographically sorted with respect to operator< or comp.
Returns: true if such a permutation exists. Otherwise, it transforms the sequence into the smallest permutation, that is, the ascendingly sorted one, and returns false.
template<class BidirectionalIterator>
bool prev_permutation(BidirectionalIterator first,
BidirectionalIterator last);
template<class BidirectionalIterator, class Compare>
bool prev_permutation(BidirectionalIterator first,
BidirectionalIterator last, Compare comp);
Requires: BidirectionalIterator shall satisfy the requirements of ValueSwappable.
Effects: Takes a sequence defined by the range [first, last) and transforms it into the previous permutation. The previous permutation is found by assuming that the set of all permutations is lexicographically sorted with respect to operator< or comp.
Returns: true if such a permutation exists. Otherwise, it transforms the sequence into the largest permutation, that is, the descendingly sorted one, and returns false.