Call signature
(1) (since C++20)Merges two consecutive sorted ranges [
first,
middle)
and [
middle,
last)
into one sorted range [
first,
last)
.
A sequence is said to be sorted with respect to the comparator comp and projection proj if for any iterator it
pointing to the sequence and any non-negative integer n
such that it + n
is a valid iterator pointing to an element of the sequence, std::invoke(comp, std::invoke(proj, *(it + n)), std::invoke(proj, *it))) evaluates to false.
This merge function is stable, which means that for equivalent elements in the original two ranges, the elements from the first range (preserving their original order) precede the elements from the second range (preserving their original order).
1) Elements are compared using the given binary comparison function comp and projection object proj, and the ranges must be sorted with respect to the same.
The function-like entities described on this page are algorithm function objects (informally known as niebloids), that is:
An iterator equal to last.
[edit] ComplexityExactly N â 1 comparisons, if additional memory buffer is available, where N = ranges::distance(first, last). Otherwise, \(\scriptsize \mathcal{O}(N\cdot\log{(N)})\)ð(Nâ¢log(N)) comparisons. Additionally, twice as many projections as comparisons in both cases.
[edit] NotesThis function attempts to allocate a temporary buffer. If the allocation fails, the less efficient algorithm is chosen.
[edit] Possible implementationThis implementation only shows the slower algorithm used when no additional memory is available. See also the implementation in MSVC STL and libstdc++.
struct inplace_merge_fn { template<std::bidirectional_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, I middle, S last, Comp comp = {}, Proj proj = {}) const { I last_it = ranges::next(middle, last); inplace_merge_slow(first, middle, last_it, ranges::distance(first, middle), ranges::distance(middle, last_it), std::ref(comp), std::ref(proj)); return last_it; } template<ranges::bidirectional_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, ranges::iterator_t<R> middle, Comp comp = {}, Proj proj = {}) const { return (*this)(ranges::begin(r), std::move(middle), ranges::end(r), std::move(comp), std::move(proj)); } private: template<class I, class Comp, class Proj> static constexpr void inplace_merge_slow(I first, I middle, I last, std::iter_difference_t<I> n1, std::iter_difference_t<I> n2, Comp comp, Proj proj) { if (n1 == 0 || n2 == 0) return; if (n1 + n2 == 2 && comp(proj(*middle), proj(*first))) { ranges::iter_swap(first, middle); return; } I cut1 = first, cut2 = middle; std::iter_difference_t<I> d1{}, d2{}; if (n1 > n2) { d1 = n1 / 2; ranges::advance(cut1, d1); cut2 = ranges::lower_bound(middle, last, *cut1, std::ref(comp), std::ref(proj)); d2 = ranges::distance(middle, cut2); } else { d2 = n2 / 2; ranges::advance(cut2, d2); cut1 = ranges::upper_bound(first, middle, *cut2, std::ref(comp), std::ref(proj)); d1 = ranges::distance(first, cut1); } I new_middle = ranges::rotate(cut1, middle, cut2); inplace_merge_slow(first, cut1, new_middle, d1, d2, std::ref(comp), std::ref(proj)); inplace_merge_slow(new_middle, cut2, last, n1 - d1, n2 - d2, std::ref(comp), std::ref(proj)); } }; inline constexpr inplace_merge_fn inplace_merge {};[edit] Example
#include <algorithm> #include <complex> #include <functional> #include <iostream> #include <iterator> #include <vector> void print(auto const& v, auto const& rem, int middle = -1) { for (int i{}; auto n : v) std::cout << (i++ == middle ? "â " : "") << n << ' '; std::cout << rem << '\n'; } template<std::random_access_iterator I, std::sentinel_for<I> S> requires std::sortable<I> void merge_sort(I first, S last) { if (last - first > 1) { I middle{first + (last - first) / 2}; merge_sort(first, middle); merge_sort(middle, last); std::ranges::inplace_merge(first, middle, last); } } int main() { // custom merge-sort demo std::vector v{8, 2, 0, 4, 9, 8, 1, 7, 3}; print(v, ": before sort"); merge_sort(v.begin(), v.end()); print(v, ": after sort\n"); // merging with comparison function object and projection using CI = std::complex<int>; std::vector<CI> r{{0,1}, {0,2}, {0,3}, {1,1}, {1,2}}; const auto middle{std::ranges::next(r.begin(), 3)}; auto comp{std::ranges::less{}}; auto proj{[](CI z) { return z.imag(); }}; print(r, ": before merge", middle - r.begin()); std::ranges::inplace_merge(r, middle, comp, proj); print(r, ": after merge"); }
Output:
8 2 0 4 9 8 1 7 3 : before sort 0 1 2 3 4 7 8 8 9 : after sort (0,1) (0,2) (0,3) â (1,1) (1,2) : before merge (0,1) (1,1) (0,2) (1,2) (0,3) : after merge[edit] See also
RetroSearch is an open source project built by @garambo | Open a GitHub Issue
Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo
HTML:
3.2
| Encoding:
UTF-8
| Version:
0.7.4