std::ranges:: nth_element

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Algorithm library
Constrained algorithms and algorithms on ranges (C++20)
Constrained algorithms, e.g. ranges::copy , ranges::sort , ...
Execution policies (C++17)
Non-modifying sequence operations
Batch operations
(C++17)
Search operations
Modifying sequence operations
Copy operations
(C++11)
(C++11)
Swap operations
Transformation operations
Generation operations
Removing operations
Order-changing operations
(until C++17) (C++11)
(C++20) (C++20)
Sampling operations
(C++17)

Sorting and related operations
Partitioning operations
Sorting operations
Binary search operations
(on partitioned ranges)
Set operations (on sorted ranges)
Merge operations (on sorted ranges)
Heap operations
Minimum/maximum operations
Lexicographical comparison operations
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C library
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Constrained algorithms
All names in this menu belong to namespace std::ranges
Non-modifying sequence operations
Modifying sequence operations
Partitioning operations
Sorting operations
Binary search operations (on sorted ranges)
Set operations (on sorted ranges)
Heap operations
Minimum/maximum operations
Permutation operations
Fold operations
Operations on uninitialized storage
Return types
Defined in header <algorithm>
Call signature
template < std:: random_access_iterator I, std:: sentinel_for < I > S,

class Comp = ranges:: less , class Proj = std:: identity >
requires std:: sortable < I, Comp, Proj >
constexpr I

nth_element ( I first, I nth, S last, Comp comp = { } , Proj proj = { } ) ;
(1) (since C++20)
template < ranges:: random_access_range R,

class Comp = ranges:: less , class Proj = std:: identity >
requires std:: sortable < iterator_t < R > , Comp, Proj >
constexpr ranges:: borrowed_iterator_t < R >

nth_element ( R && r, iterator_t < R > nth, Comp comp = { } , Proj proj = { } ) ;
(2) (since C++20)

Reorders the elements in [ first , last ) such that:

  • The element pointed at by nth is changed to whatever element would occur in that position if [ first , last ) were sorted with respect to comp and proj .
  • All of the elements before this new nth element are less than or equal to the elements after the new nth element. That is, for every iterator i , j in the ranges [ first , nth ) , [ nth , last ) respectively, the expression std:: invoke ( comp, std:: invoke ( proj, * j ) , std:: invoke ( proj, * i ) ) evaluates to false .
  • If nth == last then the function has no effect.
1) Elements are compared using the given binary comparison function object comp and projection object proj .
2) Same as (1) , but uses r as the range, as if using ranges:: begin ( r ) as first and ranges:: end ( r ) as last .

The function-like entities described on this page are algorithm function objects (informally known as niebloids ), that is:

Parameters

first, last - the range of elements to reorder
r - the range of elements to reorder
nth - the iterator defining the partition point
comp - comparator used to compare the projected elements
proj - projection to apply to the elements

Return value

1) An iterator equal to last .
2) Same as (1) if r is an lvalue or of a borrowed_range type. Otherwise returns std::ranges::dangling .

Complexity

Linear in ranges:: distance ( first, last ) on average.

Notes

The algorithm used is typically introselect although other selection algorithms with suitable average-case complexity are allowed.

Possible implementation

See also the implementation in msvc stl , libstdc++ , and libc++: (1) / (2) .

Example

#include <algorithm>
#include <array>
#include <functional>
#include <iostream>
#include <ranges>
#include <string_view>
 
void print(std::string_view rem, std::ranges::input_range auto const& a)
{
    for (std::cout << rem; const auto e : a)
        std::cout << e << ' ';
    std::cout << '\n';
}
 
int main()
{
    std::array v{5, 6, 4, 3, 2, 6, 7, 9, 3};
    print("Before nth_element: ", v);
 
    std::ranges::nth_element(v, v.begin() + v.size() / 2);
    print("After nth_element:  ", v);
    std::cout << "The median is: " << v[v.size() / 2] << '\n';
 
    std::ranges::nth_element(v, v.begin() + 1, std::greater<int>());
    print("After nth_element:  ", v);
    std::cout << "The second largest element is: " << v[1] << '\n';
    std::cout << "The largest element is: " << v[0] << "\n\n";
 
    using namespace std::literals;
    std::array names
    {
        "Diva"sv, "Cornelius"sv, "Munro"sv, "Rhod"sv,
        "Zorg"sv, "Korben"sv, "Bender"sv, "Leeloo"sv,
    };
    print("Before nth_element: ", names);
    auto fifth_element{std::ranges::next(names.begin(), 4)};
    std::ranges::nth_element(names, fifth_element);
    print("After nth_element:  ", names);
    std::cout << "The 5th element is: " << *fifth_element << '\n';
}

Output:

Before nth_element: 5 6 4 3 2 6 7 9 3 
After nth_element:  2 3 3 4 5 6 6 7 9 
The median is: 5
After nth_element:  9 7 6 6 5 4 3 3 2 
The second largest element is: 7
The largest element is: 9
 
Before nth_element: Diva Cornelius Munro Rhod Zorg Korben Bender Leeloo 
After nth_element:  Diva Cornelius Bender Korben Leeloo Rhod Munro Zorg 
The 5th element is: Leeloo

See also

returns the largest element in a range
(algorithm function object)
returns the smallest element in a range
(algorithm function object)
divides a range of elements into two groups
(algorithm function object)
sorts the first N elements of a range
(algorithm function object)
partially sorts the given range making sure that it is partitioned by the given element
(function template)