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Difference between revisions of "cpp/algorithm/ranges/pop heap"

From cppreference.com
< cpp‎ | algorithm‎ | ranges
m (Example: hardening the const-ness)
m (Minor tweak.)
 
(5 intermediate revisions by 4 users not shown)
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{{cpp/algorithm/ranges/navbar}}
 
{{cpp/algorithm/ranges/navbar}}
 
{{dcl begin}}
 
{{dcl begin}}
{{dcl header | algorithm}}
+
{{dcl header|algorithm}}
 
{{dcl h|Call signature}}
 
{{dcl h|Call signature}}
{{dcl | num=1 | since=c++20 |1=
+
{{dcl|num=1|since=c++20|1=
 
template< std::random_access_iterator I, std::sentinel_for<I> S,
 
template< std::random_access_iterator I, std::sentinel_for<I> S,
 
           class Comp = ranges::less, class Proj = std::identity >
 
           class Comp = ranges::less, class Proj = std::identity >
requires std::sortable<I, Comp, Proj>
+
    requires std::sortable<I, Comp, Proj>
constexpr I
+
constexpr I pop_heap( I first, S last, Comp comp = {}, Proj proj = {} );
ranges::pop_heap( I first, S last, Comp comp = {}, Proj proj = {} );
+
 
}}
 
}}
{{dcl | num=2 | since=c++20 |1=
+
{{dcl|num=2|since=c++20|1=
template< ranges::random_access_range R, class Comp = ranges::less,
+
template< ranges::random_access_range R,
          class Proj = std::identity >
+
          class Comp = ranges::less, class Proj = std::identity >
requires std::sortable<ranges::iterator_t<R>, Comp, Proj>
+
    requires std::sortable<ranges::iterator_t<R>, Comp, Proj>
 
constexpr ranges::borrowed_iterator_t<R>
 
constexpr ranges::borrowed_iterator_t<R>
ranges::pop_heap( R&& r, Comp comp = {}, Proj proj = {} );
+
    pop_heap( R&& r, Comp comp = {}, Proj proj = {} );
 
}}
 
}}
 
{{dcl end}}
 
{{dcl end}}
  
Swaps the value in the position {{tt|first}} and the value in the position {{tt|last-1}} and makes the subrange {{tt|[first, last-1)}} into a [[enwiki:Binary_heap|''max heap'']]. This has the effect of removing the first element from the heap defined by the range {{tt|[first, last)}}.
+
Swaps the first element and the last element of the specified [[cpp/algorithm#Heap operations|heap]] with respect to {{c|comp}} and {{c|proj}} and makes the subrange excluding the first position into a heap with respect to {{c|comp}} and {{c|proj}}. This has the effect of removing the first element from the specified heap.
  
@1@ Elements are compared using the given binary comparison function {{tt|comp}} and projection object {{tt|proj}}.
+
@1@ The specified heap is {{range|first|last}}.
  
@2@ Same as {{v|1}}, but uses {{tt|r}} as the range, as if using {{c|ranges::begin(r)}} as {{tt|first}} and {{c|ranges::end(r)}} as {{tt|last}}.
+
@2@ The specified heap is {{c|r}}.
  
 
{{cpp/ranges/niebloid}}
 
{{cpp/ranges/niebloid}}
Line 30: Line 29:
 
===Parameters===
 
===Parameters===
 
{{par begin}}
 
{{par begin}}
{{par | first, last | the range of elements defining the valid nonempty heap to modify}}
+
{{par|first, last|the iterator and sentinel designating the range of elements to modify}}
{{par | r           | the range of elements defining the valid nonempty heap to modify}}
+
{{par|r|the range of elements to modify}}
{{par | pred        | predicate to apply to the projected elements}}
+
{{par|comp|comparator to apply to the projected elements}}
{{par | proj       | projection to apply to the elements.}}
+
{{par|proj|projection to apply to the elements}}
 
{{par end}}
 
{{par end}}
  
 
===Return value===
 
===Return value===
An iterator equal to {{tt|last}}.
+
@1@ {{c|last}}
 +
@2@ {{c|ranges::end(r)}}
  
 
===Complexity===
 
===Complexity===
Given {{c|1= N = ranges::distance(first, last)}}, at most {{math|1=2×log(N)}} comparisons and {{math|1=4×log(N)}} projections.
+
At most {{mathjax-or|\(\scriptsize 2\log{(N)}\)|2log(N)}} applications of {{c|comp}} and {{mathjax-or|\(\scriptsize 4\log{(N)}\)|4log(N)}} applications of {{c|proj}}, where {{mathjax-or|\(\scriptsize N \)|N}} is:
 
+
@1@ {{c|ranges::distance(first, last)}}
===Notes===
+
@2@ {{c|ranges::distance(r)}}
{{cpp/algorithm/ranges/notes heap}}
+
  
 
===Example===
 
===Example===
{{example|code=
+
{{example
 +
|code=
 
#include <algorithm>
 
#include <algorithm>
 
#include <array>
 
#include <array>
Line 53: Line 53:
 
#include <string_view>
 
#include <string_view>
  
template <class I = int*>
+
template<class I = int*>
 
void print(std::string_view rem, I first = {}, I last = {},
 
void print(std::string_view rem, I first = {}, I last = {},
 
           std::string_view term = "\n")
 
           std::string_view term = "\n")
 
{
 
{
     for (std::cout << rem; first != last; ++first) {
+
     for (std::cout << rem; first != last; ++first)
 
         std::cout << *first << ' ';
 
         std::cout << *first << ' ';
    }
 
 
     std::cout << term;
 
     std::cout << term;
 
}
 
}
Line 65: Line 64:
 
int main()
 
int main()
 
{
 
{
     std::array v { 3, 1, 4, 1, 5, 9, 2, 6, 5, 3 };
+
     std::array v{3, 1, 4, 1, 5, 9, 2, 6, 5, 3};
 
     print("initially, v: ", v.cbegin(), v.cend());
 
     print("initially, v: ", v.cbegin(), v.cend());
 
+
   
 
     std::ranges::make_heap(v);
 
     std::ranges::make_heap(v);
 
     print("make_heap, v: ", v.cbegin(), v.cend());
 
     print("make_heap, v: ", v.cbegin(), v.cend());
 
+
   
 
     print("convert heap into sorted array:");
 
     print("convert heap into sorted array:");
     for (auto n {std::ssize(v)}; n >= 0; --n) {
+
     for (auto n {std::ssize(v)}; n >= 0; --n)
 +
    {
 
         std::ranges::pop_heap(v.begin(), v.begin() + n);
 
         std::ranges::pop_heap(v.begin(), v.begin() + n);
 
         print("[ ", v.cbegin(), v.cbegin() + n, "]  ");
 
         print("[ ", v.cbegin(), v.cbegin() + n, "]  ");
Line 78: Line 78:
 
     }
 
     }
 
}
 
}
| output=
+
|output=
 
initially, v: 3 1 4 1 5 9 2 6 5 3
 
initially, v: 3 1 4 1 5 9 2 6 5 3
 
make_heap, v: 9 6 4 5 5 3 2 1 1 3
 
make_heap, v: 9 6 4 5 5 3 2 1 1 3
Line 97: Line 97:
 
===See also===
 
===See also===
 
{{dsc begin}}
 
{{dsc begin}}
{{dsc inc | cpp/algorithm/ranges/dsc push_heap}}
+
{{dsc inc|cpp/algorithm/ranges/dsc push_heap}}
{{dsc inc | cpp/algorithm/ranges/dsc is_heap}}
+
{{dsc inc|cpp/algorithm/ranges/dsc is_heap}}
{{dsc inc | cpp/algorithm/ranges/dsc is_heap_until}}
+
{{dsc inc|cpp/algorithm/ranges/dsc is_heap_until}}
{{dsc inc | cpp/algorithm/ranges/dsc make_heap}}
+
{{dsc inc|cpp/algorithm/ranges/dsc make_heap}}
{{dsc inc | cpp/algorithm/ranges/dsc sort_heap}}
+
{{dsc inc|cpp/algorithm/ranges/dsc sort_heap}}
{{dsc inc | cpp/algorithm/dsc pop_heap}}
+
{{dsc inc|cpp/algorithm/dsc pop_heap}}
 
{{dsc end}}
 
{{dsc end}}
 +
 +
{{langlinks|de|es|fr|it|ja|pt|ru|zh}}

Latest revision as of 01:23, 14 October 2024

 
 
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
(C++11)                (C++11)(C++11)

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
(C++11)
(C++17)
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
         
pop_heap
Minimum/maximum operations
       
       
Permutation operations
Fold operations
Numeric operations
(C++23)            
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 pop_heap( I first, 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<ranges::iterator_t<R>, Comp, Proj>
constexpr ranges::borrowed_iterator_t<R>

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

Swaps the first element and the last element of the specified heap with respect to comp and proj and makes the subrange excluding the first position into a heap with respect to comp and proj. This has the effect of removing the first element from the specified heap.

1) The specified heap is [firstlast).
2) The specified heap is r.

The function-like entities described on this page are niebloids, that is:

In practice, they may be implemented as function objects, or with special compiler extensions.

Contents

[edit] Parameters

first, last - the iterator and sentinel designating the range of elements to modify
r - the range of elements to modify
comp - comparator to apply to the projected elements
proj - projection to apply to the elements

[edit] Return value

1) last

[edit] Complexity

At most 2log(N) applications of comp and 4log(N) applications of proj, where N is:

1) ranges::distance(first, last)

[edit] Example

#include <algorithm>
#include <array>
#include <iostream>
#include <iterator>
#include <string_view>
 
template<class I = int*>
void print(std::string_view rem, I first = {}, I last = {},
           std::string_view term = "\n")
{
    for (std::cout << rem; first != last; ++first)
        std::cout << *first << ' ';
    std::cout << term;
}
 
int main()
{
    std::array v{3, 1, 4, 1, 5, 9, 2, 6, 5, 3};
    print("initially, v: ", v.cbegin(), v.cend());
 
    std::ranges::make_heap(v);
    print("make_heap, v: ", v.cbegin(), v.cend());
 
    print("convert heap into sorted array:");
    for (auto n {std::ssize(v)}; n >= 0; --n)
    {
        std::ranges::pop_heap(v.begin(), v.begin() + n);
        print("[ ", v.cbegin(), v.cbegin() + n, "]  ");
        print("[ ", v.cbegin() + n, v.cend(), "]\n");
    }
}

Output:

initially, v: 3 1 4 1 5 9 2 6 5 3
make_heap, v: 9 6 4 5 5 3 2 1 1 3
convert heap into sorted array:
[ 6 5 4 3 5 3 2 1 1 9 ]  [ ]
[ 5 5 4 3 1 3 2 1 6 ]  [ 9 ]
[ 5 3 4 1 1 3 2 5 ]  [ 6 9 ]
[ 4 3 3 1 1 2 5 ]  [ 5 6 9 ]
[ 3 2 3 1 1 4 ]  [ 5 5 6 9 ]
[ 3 2 1 1 3 ]  [ 4 5 5 6 9 ]
[ 2 1 1 3 ]  [ 3 4 5 5 6 9 ]
[ 1 1 2 ]  [ 3 3 4 5 5 6 9 ]
[ 1 1 ]  [ 2 3 3 4 5 5 6 9 ]
[ 1 ]  [ 1 2 3 3 4 5 5 6 9 ]
[ ]  [ 1 1 2 3 3 4 5 5 6 9 ]

[edit] See also

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