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std::ranges::set_union, std::ranges::set_union_result - cppreference.com

Call signature

template< std::input_iterator I1, std::sentinel_for<I1> S1,

          std::input_iterator I2, std::sentinel_for<I2> S2,
          std::weakly_incrementable O, class Comp = ranges::less,
          class Proj1 = std::identity, class Proj2 = std::identity >
requires std::mergeable<I1, I2, O, Comp, Proj1, Proj2>
constexpr set_union_result<I1, I2, O>
    set_union( I1 first1, S1 last1, I2 first2, S2 last2,
               O result, Comp comp = {},

               Proj1 proj1 = {}, Proj2 proj2 = {} );
(1) (since C++20) template< ranges::input_range R1, ranges::input_range R2,

          std::weakly_incrementable O, class Comp = ranges::less,
          class Proj1 = std::identity, class Proj2 = std::identity >
requires std::mergeable<ranges::iterator_t<R1>, ranges::iterator_t<R2>,
                        O, Comp, Proj1, Proj2>
constexpr set_union_result<ranges::borrowed_iterator_t<R1>,
                           ranges::borrowed_iterator_t<R2>, O>
    set_union( R1&& r1, R2&& r2, O result, Comp comp = {},

               Proj1 proj1 = {}, Proj2 proj2 = {} );
(2) (since C++20)

Helper types

(3) (since C++20)

Constructs a sorted union beginning at result consisting of the set of elements present in one or both sorted input ranges [first1last1) and [first2last2).

If some element is found m times in [first1last1) and n times in [first2last2), then all m elements will be copied from [first1last1) to result, preserving order, and then exactly max(n - m, 0) elements will be copied from [first2last2) to result, also preserving order.

The behavior is undefined if

1) Elements are compared using the given binary comparison function comp.

The function-like entities described on this page are algorithm function objects (informally known as niebloids), that is:

[edit] Parameters first1, last1 - the iterator-sentinel pair defining the first input sorted range of elements first2, last2 - the iterator-sentinel pair defining the second input sorted range of elements r1 - the first input sorted range r2 - the second input sorted range result - the beginning of the output range comp - comparison to apply to the projected elements proj1 - projection to apply to the elements in the first range proj2 - projection to apply to the elements in the second range [edit] Return value

{last1, last2, result_last}, where result_last is the end of the constructed range.

[edit] Complexity

At most \(\scriptsize 2\cdot(N_1+N_2)-1\)2·(N1+N2)-1 comparisons and applications of each projection, where \(\scriptsize N_1\)N1 and \(\scriptsize N_2\)N2 are ranges::distance(first1, last1) and ranges::distance(first2, last2), respectively.

[edit] Notes

This algorithm performs a similar task as ranges::merge does. Both consume two sorted input ranges and produce a sorted output with elements from both inputs. The difference between these two algorithms is with handling values from both input ranges which compare equivalent (see notes on LessThanComparable). If any equivalent values appeared n times in the first range and m times in the second, ranges::merge would output all n+m occurrences whereas ranges::set_union would output std::max(n, m) ones only. So ranges::merge outputs exactly \(\scriptsize (N_1+N_2)\)(N1+N2) values and ranges::set_union may produce less.

[edit] Possible implementation
struct set_union_fn
{
    template<std::input_iterator I1, std::sentinel_for<I1> S1,
             std::input_iterator I2, std::sentinel_for<I2> S2,
             std::weakly_incrementable O, class Comp = ranges::less,
             class Proj1 = std::identity, class Proj2 = std::identity>
    requires std::mergeable<I1, I2, O, Comp, Proj1, Proj2>
    constexpr ranges::set_union_result<I1, I2, O>
        operator()(I1 first1, S1 last1, I2 first2, S2 last2,
                   O result, Comp comp = {},
                   Proj1 proj1 = {}, Proj2 proj2 = {}) const
    {
        for (; !(first1 == last1 or first2 == last2); ++result)
        {
            if (std::invoke(comp, std::invoke(proj1, *first1), 
                                  std::invoke(proj2, *first2)))
            {
                *result = *first1;
                ++first1;
            }
            else if (std::invoke(comp, std::invoke(proj2, *first2),
                                       std::invoke(proj1, *first1)))
            {
                *result = *first2;
                ++first2;
            }
            else
            {
                *result = *first1;
                ++first1;
                ++first2;
            }
        }
        auto res1 = ranges::copy(std::move(first1), std::move(last1), std::move(result));
        auto res2 = ranges::copy(std::move(first2), std::move(last2), std::move(res1.out));
        return {std::move(res1.in), std::move(res2.in), std::move(res2.out)};
    }
 
    template<ranges::input_range R1, ranges::input_range R2,
             std::weakly_incrementable O, class Comp = ranges::less,
             class Proj1 = std::identity, class Proj2 = std::identity>
    requires std::mergeable<ranges::iterator_t<R1>, ranges::iterator_t<R2>,
                            O, Comp, Proj1, Proj2>
    constexpr ranges::set_union_result<ranges::borrowed_iterator_t<R1>,
                                       ranges::borrowed_iterator_t<R2>, O>
        operator()(R1&& r1, R2&& r2, O result, Comp comp = {},
                   Proj1 proj1 = {}, Proj2 proj2 = {}) const
    {
        return (*this)(ranges::begin(r1), ranges::end(r1),
                       ranges::begin(r2), ranges::end(r2),
                       std::move(result), std::move(comp),
                       std::move(proj1), std::move(proj2));
    }
};
 
inline constexpr set_union_fn set_union {};
[edit] Example
#include <algorithm>
#include <iostream>
#include <iterator>
#include <vector>
 
void print(const auto& in1, const auto& in2, auto first, auto last)
{
    std::cout << "{ ";
    for (const auto& e : in1)
        std::cout << e << ' ';
    std::cout << "} ∪ { ";
    for (const auto& e : in2)
        std::cout << e << ' ';
    std::cout << "} =\n{ ";
    while (!(first == last))
        std::cout << *first++ << ' ';
    std::cout << "}\n\n";
}
 
int main()
{
    std::vector<int> in1, in2, out;
 
    in1 = {1, 2, 3, 4, 5};
    in2 = {      3, 4, 5, 6, 7};
    out.resize(in1.size() + in2.size());
    const auto ret = std::ranges::set_union(in1, in2, out.begin());
    print(in1, in2, out.begin(), ret.out);
 
    in1 = {1, 2, 3, 4, 5, 5, 5};
    in2 = {      3, 4, 5, 6, 7};
    out.clear();
    out.reserve(in1.size() + in2.size());
    std::ranges::set_union(in1, in2, std::back_inserter(out));
    print(in1, in2, out.cbegin(), out.cend());
}

Output:

{ 1 2 3 4 5 } ∪ { 3 4 5 6 7 } =
{ 1 2 3 4 5 6 7 }
 
{ 1 2 3 4 5 5 5 } ∪ { 3 4 5 6 7 } =
{ 1 2 3 4 5 5 5 6 7 }
[edit] See also

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