FreeBSD Manual Pages
std::nth_element(3) C++ Standard Libary std::nth_element(3) NAME std::nth_element - std::nth_element Synopsis Defined in header <algorithm> template< class RandomIt > void nth_element( RandomIt first, RandomIt nth, RandomIt (1) (const- expr since C++20) last ); template< class ExecutionPolicy, class RandomIt > void nth_element( ExecutionPolicy&& policy, (2) (since C++17) RandomIt first, RandomIt nth, RandomIt last ); template< class RandomIt, class Compare > void nth_element( RandomIt first, RandomIt nth, RandomIt (3) (const- expr since C++20) last, Compare comp ); template< class ExecutionPolicy, class RandomIt, class Compare > void nth_element( ExecutionPolicy&& policy, (4) (since C++17) RandomIt first, RandomIt nth, RandomIt last, Compare comp ); nth_element rearranges elements in [first, last) such that after the rearrangement: * The element pointed at by nth is changed to whatever element would occur in that position if [first, last) were sorted. * For every iterator i in [first, nth) and every iterator j in [nth, last), the following condition is met: 1,2) bool(*j < *i) (until C++20) std::less{}(*j, *i) (since C++20) is false. 3,4) bool(comp(*j, *i)) is false. 1) Elements are hypothetically sorted with respect to operator< (until C++20) std::less{} (since C++20). 3) Elements are hypothetically sorted with respect to comp. 2,4) Same as (1,3), but executed according to policy. These overloads participate in overload resolution only if std::is_execution_policy_v<std::decay_t<ExecutionPolicy>> is true. (until C++20) std::is_execution_policy_v<std::remove_cvref_t<ExecutionPolicy>> is true. (since C++20) If any of the following conditions is satisfied, the behavior is un- defined: * [first, nth) or [nth, last) is not a valid range. * The type of *first is not Swappable. (until C++11) * RandomIt is not ValueSwappable. * The type of *first is not MoveConstructible. (since C++11) * The type of *first is not MoveAssignable. Parameters first, last - random access iterators defining the range sort nth - random access iterator defining the sort partition point policy - the execution policy to use. See execution policy for details. comparison function object (i.e. an object that sat- isfies the requirements of Compare) which returns true if the first argument is less than (i.e. is ordered before) the second. The signature of the comparison function should be equivalent to the following: bool cmp(const Type1& a, const Type2& b); comp - While the signature does not need to have const&, the function must not modify the objects passed to it and must be able to accept all values of type (possibly const) Type1 and Type2 re- gardless of value category (thus, Type1& is not allowed , nor is Type1 unless for Type1 a move is equivalent to a copy (since C++11)). The types Type1 and Type2 must be such that an object of type RandomIt can be dereferenced and then implicitly con- verted to both of them. Type requirements - RandomIt must meet the requirements of LegacyRandomAccessIterator. - Compare must meet the requirements of Compare. Complexity Given \(\scriptsize N\)N as last - first: 1) \(\scriptsize O(N)\)O(N) comparisons using operator< (until C++20) std::less{} (since C++20) on average. 2) \(\scriptsize O(N)\)O(N) comparisons using operator< (until C++20) std::less{} (since C++20), and \(\scriptsize O(N \cdot \log(N))\)O(Nlog(N)) swaps. 3) \(\scriptsize O(N)\)O(N) applications of the comparator comp on average. 4) \(\scriptsize O(N)\)O(N) applications of the comparator comp, and \(\scriptsize O(N \cdot \log(N))\)O(Nlog(N)) swaps. Exceptions The overloads with a template parameter named ExecutionPolicy report errors as follows: * If execution of a function invoked as part of the algorithm throws an exception and ExecutionPolicy is one of the standard policies, std::termi- nate is called. For any other ExecutionPolicy, the behavior is implementation- defined. * If the algorithm fails to allocate memory, std::bad_alloc is thrown. Possible implementation See also the implementations in libstdc++, libc++, and msvc stl. Notes The algorithm used is typically Introselect although other Selection algorithm with suitable average-case complexity are allowed. Example // Run this code #include <algorithm> #include <cassert> #include <functional> #include <iostream> #include <numeric> #include <vector> void printVec(const std::vector<int>& vec) { std::cout << "v = {"; for (char sep[]{0, ' ', 0}; const int i : vec) std::cout << sep << i, sep[0] = ','; std::cout << "};\n"; } int main() { std::vector<int> v{5, 10, 6, 4, 3, 2, 6, 7, 9, 3}; printVec(v); auto m = v.begin() + v.size() / 2; std::nth_element(v.begin(), m, v.end()); std::cout << "\nThe median is " << v[v.size() / 2] << '\n'; // The consequence of the inequality of elements before/after the Nth one: assert(std::accumulate(v.begin(), m, 0) < std::accumulate(m, v.end(), 0)); printVec(v); // Note: comp function changed std::nth_element(v.begin(), v.begin() + 1, v.end(), std::greater{}); std::cout << "\nThe second largest element is " << v[1] << '\n'; std::cout << "The largest element is " << v[0] << '\n'; printVec(v); } Possible output: v = {5, 10, 6, 4, 3, 2, 6, 7, 9, 3}; The median is 6 v = {3, 2, 3, 4, 5, 6, 10, 7, 9, 6}; The second largest element is 9 The largest element is 10 v = {10, 9, 6, 7, 6, 3, 5, 4, 3, 2}; Defect reports The following behavior-changing defect reports were applied retroac- tively to previously published C++ standards. DR Applied to Behavior as published Cor- rect behavior after the rearrangement, only one LWG 2150 C++98 element before nth corrected the was required to be not greater than require- ment one element after nth P0896R4 C++98 [first, nth) and [nth, last) the be- havior is undefined were not required to be valid ranges if any of them is invalid See also max_element returns the largest element in a range (function template) min_element returns the smallest element in a range (function template) partial_sort_copy copies and partially sorts a range of elements (function template) sorts a range of elements while preserving order between equal stable_sort elements (function template) sort sorts a range into ascending order (function template) ranges::nth_element partially sorts the given range making sure that it is (C++20) partitioned by the given element (niebloid) http://cppreference.com 2024.06.10 std::nth_element(3)
NAME | Synopsis | Parameters | Type requirements | Complexity | Exceptions | Possible implementation | Notes | Example | Possible output: | See also
Want to link to this manual page? Use this URL:
<https://man.freebsd.org/cgi/man.cgi?query=std::nth_element&sektion=3&manpath=FreeBSD+Ports+15.1.quarterly>
