std::partial_sort - cppreference.com
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std::partial_sort

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Algorithm library
Constrained algorithms and algorithms on ranges (C++20)
Constrained algorithms, e.g. ranges::copy, ranges::sort, ...
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
(C++11)    

Sorting operations
Binary search operations
(on partitioned ranges)
Set operations (on sorted ranges)
Merge operations (on sorted ranges)
Heap operations
Minimum/maximum operations
(C++11)
(C++17)
Lexicographical comparison operations
Permutation operations


 
Defined in header <algorithm>
template< class RandomIt >
void partial_sort( RandomIt first, RandomIt middle, RandomIt last );
(1) (constexpr since C++20)
template< class RandomIt, class Compare >
void partial_sort( RandomIt first, RandomIt middle, RandomIt last,
                   Compare comp );
(2) (constexpr since C++20)
template< class ExecutionPolicy, class RandomIt >
void partial_sort( ExecutionPolicy&& policy,
                   RandomIt first, RandomIt middle, RandomIt last );
(3) (since C++17)
template< class ExecutionPolicy, class RandomIt, class Compare >
void partial_sort( ExecutionPolicy&& policy,
                   RandomIt first, RandomIt middle, RandomIt last,
                   Compare comp );
(4) (since C++17)

Places the first middle - first elements from the target range [firstlast) as sorted into the range [firstmiddle). The rest of the elements are placed in the range [middlelast) in an unspecified order.

1) Elements are sorted with respect to operator<(until C++20)std::less{}(since C++20).
2) Elements are sorted with respect to comp.
3,4) Same as (1,2), but executed according to policy.
These overloads participate in overload resolution only if the value of the following expression is true:

std::is_execution_policy_v<std::decay_t<ExecutionPolicy>>

(until C++20)

std::is_execution_policy_v<std::remove_cvref_t<ExecutionPolicy>>

(since C++20)

If any of the following conditions is satisfied, the behavior is undefined:

  • [firstmiddle) or [middlelast) is not a valid range.
(until C++11)
(since C++11)

Parameters

first, last - the pair of iterators defining the target range
middle - the end of the range of sorted elements
comp - comparison function object (i.e. an object that satisfies 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);

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 regardless 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 converted to both of them. ​

policy - the execution policy to use
Type requirements
-
RandomIt must meet the requirements of LegacyRandomAccessIterator.
-
Compare must meet the requirements of Compare.

Complexity

Given

  • M as middle - first,
  • N as last - first:
1) Approximately N·log(M) comparisons using operator<(until C++20)std::less{}(since C++20).
2) Approximately N·log(M) applications of the comparator comp.
3) 𝓞(N·log(M)) comparisons using operator<(until C++20)std::less{}(since C++20).
4) 𝓞(N·log(M)) applications of the comparator comp.

Exceptions

3,4) During the execution process:
  • If the temporary memory resources required for parallelization are not available, std::bad_alloc is thrown.
  • If an uncaught exception is thrown while accessing objects via an algorithm argument, the behavior is determined by the execution policy (for standard policies, std::terminate is invoked).

Possible implementation

See also the implementations in libstdc++ and libc++.

partial_sort (1)
template<typename RandomIt>
constexpr //< since C++20
void partial_sort(RandomIt first, RandomIt middle, RandomIt last)
{
    typedef typename std::iterator_traits<RandomIt>::value_type VT;
    std::partial_sort(first, middle, last, std::less<VT>());
}
partial_sort (2)
namespace impl
{
    template<typename RandomIt, typename Compare>
    constexpr //< since C++20
    void sift_down(RandomIt first, RandomIt last, const Compare& comp)
    {
        // sift down element at “first”
        const auto length = static_cast<std::size_t>(last - first);
        std::size_t current = 0;
        std::size_t next = 2;
        while (next < length)
        {
            if (comp(*(first + next), *(first + (next - 1))))
                --next;
            if (!comp(*(first + current), *(first + next)))
                return;
            std::iter_swap(first + current, first + next);
            current = next;
            next = 2 * current + 2;
        }
        --next;
        if (next < length && comp(*(first + current), *(first + next)))
            std::iter_swap(first + current, first + next);
    }
    
    template<typename RandomIt, typename Compare>
    constexpr //< since C++20
    void heap_select(RandomIt first, RandomIt middle, RandomIt last, const Compare& comp)
    {
        std::make_heap(first, middle, comp);
        for (auto i = middle; i != last; ++i)
        {
            if (comp(*i, *first))
            {
                std::iter_swap(first, i);
                sift_down(first, middle, comp);
            }
        }
    }
} // namespace impl

template<typename RandomIt, typename Compare>
constexpr //< since C++20
void partial_sort(RandomIt first, RandomIt middle, RandomIt last, Compare comp)
{
    impl::heap_select(first, middle, last, comp);
    std::sort_heap(first, middle, comp);
}

Notes

std::partial_sort algorithms are intended to be used for small constant numbers of [firstmiddle) selected elements.

The algorithm used is typically heap select to select the smallest elements, and heap sort to sort the selected elements in the heap in ascending order.

To select elements, a heap is used (see heap). For example, for operator< as comparison function, max-heap is used to select middle first smallest elements.

Heap sort is used after selection to sort [firstmiddle) selected elements (see std::sort_heap).

Example

#include <algorithm>
#include <array>
#include <functional>
#include <iostream>

void print(const auto& s, int middle)
{
    for (int a : s)
        std::cout << a << ' ';
    std::cout << '\n';
    if (middle > 0)
    {
        while (middle-- > 0)
            std::cout << "--";
        std::cout << '^';
    }
    else if (middle < 0)
    {
        for (auto i = s.size() + middle; --i; std::cout << "  ")
        {}
        
        for (std::cout << '^'; middle++ < 0; std::cout << "--")
        {}
    }
    std::cout << '\n';
};

int main()
{
    std::array<int, 10> s{5, 7, 4, 2, 8, 6, 1, 9, 0, 3};
    print(s, 0);
    std::partial_sort(s.begin(), s.begin() + 3, s.end());
    print(s, 3);
    std::partial_sort(s.rbegin(), s.rbegin() + 4, s.rend());
    print(s, -4);
    std::partial_sort(s.rbegin(), s.rbegin() + 5, s.rend(), std::greater{});
    print(s, -5);
}

Possible output:

5 7 4 2 8 6 1 9 0 3

0 1 2 7 8 6 5 9 4 3
------^
4 5 6 7 8 9 3 2 1 0
          ^--------
4 3 2 1 0 5 6 7 8 9
        ^----------

Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior
P0896R4 C++98 [firstmiddle) and [middlelast)
were not required to be valid ranges
the behavior is undefined
if any of them is invalid

See also