Defined in header <algorithm> | ||
---|---|---|
Call signature | ||
template< std::random_access_iterator I, std::sentinel_for<I> S, class Proj = std::identity, std::indirect_strict_weak_order< std::projected<I, Proj>> Comp = ranges::less > constexpr bool is_heap( I first, S last, Comp comp = {}, Proj proj = {} ); | (1) | (since C++20) |
template< ranges::random_access_range R, class Proj = std::identity, std::indirect_strict_weak_order<std::projected<ranges::iterator_t<R>, Proj>> Comp = ranges::less > constexpr bool is_heap( R&& r, Comp comp = {}, Proj proj = {} ); | (2) | (since C++20) |
Checks if the elements in range [
first
,Β
last
)
are a max heap.
comp
and projection object proj
.r
as the range, as if using ranges::begin(r)
as first
and ranges::end(r)
as last
.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.
first, last | - | the range of elements to examine |
r | - | the range of elements to examine |
pred | - | predicate to apply to the projected elements |
proj | - | projection to apply to the elements |
true
if the range is max heap, false
otherwise.
Linear in the distance between first
and last
.
A max heap is a range of elements [
f
,Β
l
)
, arranged with respect to comparator comp
and projection proj
, that has the following properties:
N = l - f
, p = f[(i - 1) / 2]
, and q = f[i]
, for all 0 < i < N
, the expression std::invoke(comp, std::invoke(proj, p), std::invoke(proj, q))
evaluates to false
. ranges::push_heap
, in \(\scriptsize \mathcal{O}(\log N)\)π(log N) time. ranges::pop_heap
, in \(\scriptsize \mathcal{O}(\log N)\)π(log N) time. struct is_heap_fn { template<std::random_access_iterator I, std::sentinel_for<I> S, class Proj = std::identity, std::indirect_strict_weak_order< std::projected<I, Proj>> Comp = ranges::less> constexpr bool operator()(I first, S last, Comp comp = {}, Proj proj = {}) const { return (last == ranges::is_heap_until(first, last, std::move(comp), std::move(proj))); } template<ranges::random_access_range R, class Proj = std::identity, std::indirect_strict_weak_order<std::projected<ranges::iterator_t<R>, Proj>> Comp = ranges::less> constexpr bool operator()(R&& r, Comp comp = {}, Proj proj = {}) const { return (*this)(ranges::begin(r), ranges::end(r), std::move(comp), std::move(proj)); } }; inline constexpr is_heap_fn is_heap {}; |
#include <algorithm> #include <bit> #include <cmath> #include <iostream> #include <vector> void out(const auto& what, int n = 1) { while (n-- > 0) std::cout << what; } void draw_heap(auto const& v); int main() { std::vector<int> v {3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8}; out("initially, v:\n"); for (auto i : v) std::cout << i << ' '; out('\n'); if (!std::ranges::is_heap(v)) { out("making heap...\n"); std::ranges::make_heap(v); } out("after make_heap, v:\n"); for (auto t {1U}; auto i : v) std::cout << i << (std::has_single_bit(++t) ? " β " : " "); out("\n" "corresponding binary tree is:\n"); draw_heap(v); } void draw_heap(auto const& v) { auto bails = [](int n, int w) { auto b = [](int w) { out("β"), out("β", w), out("β΄"), out("β", w), out("β"); }; n /= 2; if (!n) 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()); }
Output:
initially, v: 3 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 making heap... after make_heap, v: 9 β 8 9 β 6 5 8 9 β 3 5 3 5 3 4 7 2 β 1 2 3 1 corresponding binary tree is: 9 βββββββββ΄ββββββββ 8 9 βββββ΄ββββ βββββ΄ββββ 6 5 8 9 βββ΄ββ βββ΄ββ βββ΄ββ βββ΄ββ 3 5 3 5 3 4 7 2 ββ΄β ββ΄β ββ΄β ββ΄β ββ΄β ββ΄β ββ΄β ββ΄β 1 2 3 1
(C++20) | finds the largest subrange that is a max heap (niebloid) |
(C++20) | creates a max heap out of a range of elements (niebloid) |
(C++20) | adds an element to a max heap (niebloid) |
(C++20) | removes the largest element from a max heap (niebloid) |
(C++20) | turns a max heap into a range of elements sorted in ascending order (niebloid) |
(C++11) | checks if the given range is a max heap (function template) |
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