std::make_heap(3)

πŸ“¦ version 2024.07.05, in nixpkgs unstable, opensuse-leap 16.0

πŸ’… std::make_heap(3) πŸ’…

okay so this is from the C++ Standard Libary manual, and it’s literally the β€œturn this range into a heap” page. bestie, it’s giving container royalty πŸ‘‘ and I’m obsessed.


🌸 NAME 🌸

std::make_heap β€” std::make_heap (yes, the name is the name, we love a self-titled icon πŸ’…)


✨ Synopsis ✨

Defined in header <algorithm>

template< class RandomIt >                               (1)
(constexpr since C++20)
void make_heap( RandomIt first, RandomIt last );

template< class RandomIt, class Compare >
void make_heap( RandomIt first, RandomIt last, Compare   (2)
(constexpr since C++20)
comp );

Constructs a heap in the range [first, last).

  1. The constructed heap is with respect to operator< (until C++20) / std::less{} (since C++20).
  2. The constructed heap is with respect to comp.
bestie, if any of these conditions is satisfied, the behavior is undefined β€” like, do not pass go, do not collect your heap πŸ’€
  • 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.

πŸŽ€ Parameters πŸŽ€

  • first, last β€” the range to make the heap from.
  • comp β€” 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.


πŸ¦‹ Type requirements πŸ¦‹

  • RandomIt must meet the requirements of LegacyRandomAccessIterator.
  • Compare must meet the requirements of Compare.

πŸ”₯ Complexity πŸ”₯

Given N as std::distance(first, last):

  1. At most 3N comparisons using operator< (until C++20) / std::less{} (since C++20).
  2. At most 3N applications of the comparison function comp.

🌈 Example 🌈

// Run this code

#include <algorithm>
#include <functional>
#include <iostream>
#include <string_view>
#include <vector>

void print(std::string_view text, const std::vector<int>& v = {})
{
    std::cout << text << ": ";
    for (const auto& e : v)
        std::cout << e << ' ';
    std::cout << '\n';
}

int main()
{
    print("Max heap");

    std::vector<int> v{3, 2, 4, 1, 5, 9};
    print("initially, v", v);

    std::make_heap(v.begin(), v.end());
    print("after make_heap, v", v);

    std::pop_heap(v.begin(), v.end());
    print("after pop_heap, v", v);

    auto top = v.back();
    v.pop_back();
    print("former top element", {top});
    print("after removing the former top element, v", v);

    print("\nMin heap");

    std::vector<int> v1{3, 2, 4, 1, 5, 9};
    print("initially, v1", v1);

    std::make_heap(v1.begin(), v1.end(), std::greater<>{});
    print("after make_heap, v1", v1);

    std::pop_heap(v1.begin(), v1.end(), std::greater<>{});
    print("after pop_heap, v1", v1);

    auto top1 = v1.back();
    v1.pop_back();
    print("former top element", {top1});
    print("after removing the former top element, v1", v1);
}

⭐ Output ⭐

Max heap:
initially, v: 3 2 4 1 5 9
after make_heap, v: 9 5 4 1 2 3
after pop_heap, v: 5 3 4 1 2 9
former top element: 9
after removing the former top element, v: 5 3 4 1 2

Min heap:
initially, v1: 3 2 4 1 5 9
after make_heap, v1: 1 2 4 3 5 9
after pop_heap, v1: 2 3 4 9 5 1
former top element: 1
after removing the former top element, v1: 2 3 4 9 5

πŸ’€ Defect reports πŸ’€

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

  • DR LWG 3032, applied to C++98 β€” behavior as published: the elements of [first, last) was not required to be swappable; correct behavior: required.

πŸ‘‘ See also πŸ‘‘

  • is_heap (C++11) β€” checks if the given range is a max heap (function template)
  • is_heap_until (C++11) β€” finds the largest subrange that is a max heap (function template)
  • push_heap β€” adds an element to a max heap (function template)
  • pop_heap β€” removes the largest element from a max heap (function template)
  • sort_heap β€” turns a max heap into a range of elements sorted in ascending order (function template)
  • priority_queue β€” adapts a container to provide priority queue (class template)
  • ranges::make_heap (C++20) β€” creates a max heap out of a range of elements (niebloid)

source/version: http://cppreference.com, date: 2024.06.10 β€” k bye bestie, go make some heaps slay πŸ’–πŸ«Άβœ¨

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