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std::is_heap

From cppreference.com
< cpp‎ | algorithm
 
 
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
is_heap
(C++11)
Minimum/maximum operations
(C++11)
(C++17)
Lexicographical comparison operations
Permutation operations
C library
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Operations on uninitialized memory
 
Defined in header <algorithm>
(1)
template< class RandomIt >
bool is_heap( RandomIt first, RandomIt last );
(since C++11)
(until C++20)
template< class RandomIt >
constexpr bool is_heap( RandomIt first, RandomIt last );
(since C++20)
template< class ExecutionPolicy, class RandomIt >
bool is_heap( ExecutionPolicy&& policy, RandomIt first, RandomIt last );
(2) (since C++17)
(3)
template< class RandomIt, class Compare >
bool is_heap( RandomIt first, RandomIt last, Compare comp );
(since C++11)
(until C++20)
template< class RandomIt, class Compare >
constexpr bool is_heap( RandomIt first, RandomIt last, Compare comp );
(since C++20)
template< class ExecutionPolicy, class RandomIt, class Compare >

bool is_heap( ExecutionPolicy&& policy,

              RandomIt first, RandomIt last, Compare comp );
(4) (since C++17)

Checks whether [firstlast) is a heap.

1) The heap property to be checked is with respect to operator<.
3) The heap property to be checked is with respect to comp.
2,4) Same as (1,3), but executed according to policy. These overloads do not participate in overload resolution unless

std::is_execution_policy_v<std::decay_t<ExecutionPolicy>> is true.

(until C++20)

std::is_execution_policy_v<std::remove_cvref_t<ExecutionPolicy>> is true.

(since C++20)

Contents

[edit] Parameters

first, last - the range to be checked
policy - the execution policy to use. See execution policy for details.
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 LegacyRandomAccessIterator.
-
Compare must meet the requirements of Compare.

[edit] Return value

true if the range is a heap with respect to the corresponding comparator, false otherwise.

[edit] Complexity

Linear in std::distance(first, last).

[edit] Exceptions

The overloads with a template parameter named ExecutionPolicy report errors as follows:

  • If execution of a function invoked as part of the algorithm throws an exception and ExecutionPolicy is one of the standard policies, std::terminate is called. For any other ExecutionPolicy, the behavior is implementation-defined.
  • If the algorithm fails to allocate memory, std::bad_alloc is thrown.

[edit] Notes

A heap with respect to comp (max heap) is a random access range [firstlast) that has the following properties:

  • Given N as last - first, for all integer i where 0 < i < N, bool(comp(first[(i - 1) / 2], first[i])) is false.
  • A new element can be added using std::push_heap, in 𝓞(log N) time.
  • *first can be removed using std::pop_heap, in 𝓞(log N) time.

[edit] Example

#include <algorithm>
#include <bit>
#include <iostream>
#include <vector>
 
int main()
{
    std::vector<int> v{3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9};
 
    std::cout << "initially, v:\n";
    for (const auto& i : v)
        std::cout << i << ' ';
    std::cout << '\n';
 
    if (!std::is_heap(v.begin(), v.end()))
    {
        std::cout << "making heap...\n";
        std::make_heap(v.begin(), v.end());
    }
 
    std::cout << "after make_heap, v:\n";
    for (auto t{1U}; const auto& i : v)
        std::cout << i << (std::has_single_bit(++t) ? " | " : " ");
    std::cout << '\n';
}

Output:

initially, v:
3 1 4 1 5 9 2 6 5 3 5 8 9 7 9
making heap...
after make_heap, v:
9 | 6 9 | 5 5 9 7 | 1 1 3 5 8 3 4 2 |

[edit] Defect reports

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

DR Applied to Behavior as published Correct behavior
LWG 2166 C++11 the heap requirement did not match the
definition of max heap closely enough
requirement improved

[edit] See also

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