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std::ranges:: push_heap

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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
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(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
Permutation operations
C library
Numeric operations
Operations on uninitialized memory
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
定义于头文件 <algorithm>
调用签名
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 push_heap ( I first, S last, Comp comp = { } , Proj proj = { } ) ;
(1) (C++20 起)
template < ranges:: random_access_range R,

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

push_heap ( R && r, Comp comp = { } , Proj proj = { } ) ;
(2) (C++20 起)

将指定范围中的最后一个元素插入到相对于 comp proj 中,该堆由范围中除最后一个元素外的所有元素构成。插入后的堆将构成整个范围。

1) 指定范围是 [ first , last )
2) 指定的范围是 r

如果指定范围(不包含最后一个元素)相对于 comp proj 不构成堆,则行为未定义。

本页面描述的函数式实体是 算法函数对象 (非正式称为 niebloids ),即:

目录

参数

first, last - 定义待修改元素范围的 迭代器-哨位对
r - 待修改元素的 range
comp - 应用于投影元素的比较器
proj - 应用于元素的投影

返回值

1) last

复杂度

最多 log(N) comp 的应用和 2log(N) proj 的应用,其中 N 为:

1) ranges:: distance ( first, last )

可能的实现

struct push_heap_fn
{
    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 operator()(I first, S last, Comp comp = {}, Proj proj = {}) const
    {
        const auto n{ranges::distance(first, last)};
        const auto length{n};
        if (n > 1)
        {
            I last{first + n};
            n = (n - 2) / 2;
            I i{first + n};
            if (std::invoke(comp, std::invoke(proj, *i), std::invoke(proj, *--last)))
            {
                std::iter_value_t<I> v {ranges::iter_move(last)};
                do
                {
                    *last = ranges::iter_move(i);
                    last = i;
                    if (n == 0)
                        break;
                    n = (n - 1) / 2;
                    i = first + n;
                }
                while (std::invoke(comp, std::invoke(proj, *i), std::invoke(proj, v)));
                *last = std::move(v);
            }
        }
        return first + length;
    }
    template<ranges::random_access_range R,
             class Comp = ranges::less, class Proj = std::identity>
    requires std::sortable<ranges::iterator_t<R>, Comp, Proj>
    constexpr ranges::borrowed_iterator_t<R>
        operator()(R&& r, Comp comp = {}, Proj proj = {}) const
    {
        return (*this)(ranges::begin(r), ranges::end(r), std::move(comp), std::move(proj));
    }
};
inline constexpr push_heap_fn push_heap{};

示例

#include <algorithm>
#include <cmath>
#include <iostream>
#include <vector>
void out(const auto& what, int n = 1)
{
    while (n-- > 0)
        std::cout << what;
}
void print(auto rem, auto const& v)
{
    out(rem);
    for (auto e : v)
        out(e), out(' ');
    out('\n');
}
void draw_heap(auto const& v)
{
    auto bails = [](int n, int w)
    {
        auto b = [](int w) { out("┌"), out("─", w), out("┴"), out("─", w), out("┐"); };
        if (!(n /= 2))
            return;
        for (out(' ', w); n-- > 0;)
            b(w), out(' ', w + w + 1);
        out('\n');
    };
    auto data = [](int n, int w, auto& first, auto last)
    {
        for (out(' ', w); n-- > 0 && first != last; ++first)
            out(*first), out(' ', w + w + 1);
        out('\n');
    };
    auto tier = [&](int t, int m, auto& first, auto last)
    {
        const int n{1 << t};
        const int w{(1 << (m - t - 1)) - 1};
        bails(n, w), data(n, w, first, last);
    };
    const int m{static_cast<int>(std::ceil(std::log2(1 + v.size())))};
    auto first{v.cbegin()};
    for (int i{}; i != m; ++i)
        tier(i, m, first, v.cend());
}
int main()
{
    std::vector<int> v{1, 6, 1, 8, 0, 3,};
    print("source vector v: ", v);
    std::ranges::make_heap(v);
    print("after make_heap: ", v);
    draw_heap(v);
    v.push_back(9);
    print("before push_heap: ", v);
    draw_heap(v);
    std::ranges::push_heap(v);
    print("after push_heap: ", v);
    draw_heap(v);
}

输出:

source vector v: 1 6 1 8 0 3
after make_heap: 8 6 3 1 0 1
   8
 ┌─┴─┐
 6   3
┌┴┐ ┌┴┐
1 0 1
before push_heap: 8 6 3 1 0 1 9
   8
 ┌─┴─┐
 6   3
┌┴┐ ┌┴┐
1 0 1 9
after push_heap: 9 6 8 1 0 1 3
   9
 ┌─┴─┐
 6   8
┌┴┐ ┌┴┐
1 0 1 3

参见

检查给定范围是否为最大堆
(算法函数对象)
查找构成最大堆的最大子范围
(算法函数对象)
从元素范围创建最大堆
(算法函数对象)
从最大堆中移除最大元素
(算法函数对象)
将最大堆转换为按升序排序的元素范围
(算法函数对象)
向最大堆添加元素
(函数模板)