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std::pop_heap

Defined in header <algorithm>
(1)
template< class RandomIt >
void pop_heap( RandomIt first, RandomIt last );
(until C++20)
template< class RandomIt >
constexpr void pop_heap( RandomIt first, RandomIt last );
(since C++20)
(2)
template< class RandomIt, class Compare >
void pop_heap( RandomIt first, RandomIt last, Compare comp );
(until C++20)
template< class RandomIt, class Compare >
constexpr void pop_heap( RandomIt first, RandomIt last, Compare comp );
(since C++20)

Swaps the value in the position first and the value in the position last - 1 and makes the subrange [firstlast - 1) into a heap. This has the effect of removing the first element from the heap defined by the range [firstlast).

The first version of the function uses operator< to compare the elements, which makes the heap a max heap. The second uses the given comparison function comp.

Parameters

first, last - the range of elements defining the valid nonempty heap to modify
comp - comparison function object (i.e. an object that satisfies the requirements of Compare) which returns ​true if the first argument is less than 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. ​

Type requirements
-RandomIt must meet the requirements of ValueSwappable and LegacyRandomAccessIterator.
-The type of dereferenced RandomIt must meet the requirements of MoveAssignable and MoveConstructible.

Return value

(none).

Complexity

At most 2×log(N) comparisons where N = std::distance(first, last).

Notes

A max heap is a range of elements [fl) that has the following properties:

  • With N = l - f, for all 0 < i < N, f[(i - 1) / 2] does not compare less than f[i].
  • A new element can be added using std::push_heap, in \(\scriptsize \mathcal{O}(\log N)\)𝓞(log N) time.
  • The first element can be removed using std::pop_heap, in \(\scriptsize \mathcal{O}(\log N)\)𝓞(log N) time.

Example

#include <algorithm>
#include <iostream>
#include <string_view>
#include <type_traits>
#include <vector>
 
void println(std::string_view rem, auto const& v)
{
    std::cout << rem;
    if constexpr (std::is_scalar_v<std::decay_t<decltype(v)>>)
        std::cout << v;
    else
        for (int e : v)
            std::cout << e << ' ';
    std::cout << '\n';
}
 
int main()
{
    std::vector<int> v {3, 1, 4, 1, 5, 9};
 
    std::make_heap(v.begin(), v.end());
    println("after make_heap: ", v);
 
    std::pop_heap(v.begin(), v.end()); // moves the largest to the end
    println("after pop_heap:  ", v);
 
    int largest = v.back();
    println("largest element: ", largest);
 
    v.pop_back(); // actually removes the largest element
    println("after pop_back:  ", v);
}

Output:

after make_heap: 9 5 4 1 1 3
after pop_heap:  5 3 4 1 1 9
largest element: 9
after pop_back:  5 3 4 1 1

See also

adds an element to a max heap
(function template)
(C++11)
checks if the given range is a max heap
(function template)
(C++11)
finds the largest subrange that is a max heap
(function template)
creates a max heap out of a range of elements
(function template)
turns a max heap into a range of elements sorted in ascending order
(function template)
(C++20)
removes the largest element from a max heap
(niebloid)

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