std::ranges::set_symmetric_difference, std::ranges::set_symmetric_difference_result - cppreference.com
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std::ranges::set_symmetric_difference, std::ranges::set_symmetric_difference_result

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Return types
 
Defined in header <algorithm>
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 ranges::set_symmetric_difference_result<I1, I2, O>
    set_symmetric_difference( I1 first1, S1 last1, I2 first2, S2 last2,
                              O d_first, 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 ranges::set_symmetric_difference_result
              <ranges::borrowed_iterator_t<R1>, 
               ranges::borrowed_iterator_t<R2>, O>
    set_symmetric_difference( R1&& r1, R2&& r2, O d_first, Comp comp = {},
                              Proj1 proj1 = {}, Proj2 proj2 = {} );
(2) (since C++20)
template< /*execution-policy*/ Ep,
          std::random_access_iterator I1, std::sized_sentinel_for<I1> S1,
          std::random_access_iterator I2, std::sized_sentinel_for<I2> S2,
          std::random_access_iterator O, std::sized_sentinel_for<O> OutS,
          class Comp = ranges::less,
          class Proj1 = std::identity, class Proj2 = std::identity >
    requires std::mergeable<I1, I2, O, Comp, Proj1, Proj2>
ranges::set_symmetric_difference_result<I1, I2, O>
    set_symmetric_difference( Ep&& policy, I1 first1, S1 last1,
                              I2 first2, S2 last2,
                              O d_first, OutS d_last, Comp comp = {},
                              Proj1 proj1 = {}, Proj2 proj2 = {} );
(3) (since C++26)
template< /*execution-policy*/ Ep,
          /*sized-random-access-range*/ R1, /*sized-random-access-range*/ R2,
          /*sized-random-access-range*/ OutR, class Comp = ranges::less,
          class Proj1 = std::identity, class Proj2 = std::identity >
    requires std::mergeable<ranges::iterator_t<R1>, ranges::iterator_t<R2>,
                            ranges::iterator_t<OutR>, Comp, Proj1, Proj2>
ranges::set_symmetric_difference_result<ranges::borrowed_iterator_t<R1>,
                                        ranges::borrowed_iterator_t<R2>,
                                        ranges::borrowed_iterator_t<OutR>>
    set_symmetric_difference( Ep&& policy, R1&& r1, R2&& r2,
                              OutR&& d_r, Comp comp = {},
                              Proj1 proj1 = {}, Proj2 proj2 = {} );
(4) (since C++26)
Helper types
template< class I1, class I2, class O >
using set_symmetric_difference_result = ranges::in_in_out_result<I1, I2, O>;
(5) (since C++20)

For the definition of /*execution-policy*/, see this page; for the definition of /*sized-random-access-range*/, see this page.

Constructs a hypothetical sorted symmetric difference from two sorted source ranges, the symmetric difference consists of the set of elements present in exactly one of the source ranges. Copies elements of the difference to the destination range.

1,2) All elements of the symmetric difference will be copied to the destination range beginning at d_first.
For each group of equivalent elements to be included in the symmetric difference, let n1 and n2 be the numbers of elements from the two source ranges respectively:
  • The first std::min(n1, n2) elements from the first source range will be skipped, and all remaining elments will be included in the symmetric difference in order.
  • The first std::min(n1, n2) elements from the second source range will be skipped, and all remaining elments will be included in the symmetric difference in order.
1) The two source ranges are [first1last1) and [first2last2).
2) The two source ranges are r1 and r2.
3,4) Same as (1,2), but executed according to policy, and the destination range is [d_firstd_last) or d_r. If the destination range is exhausted, the remaining elements in the two source ranges will not be copied.

If any of the following conditions is satisfied, the behavior is undefined:

  • The first source range is not sorted with respect to the comparator comp and projection proj1.
  • The second source range is not sorted with respect to the comparator comp and projection proj2.
  • The destination range overlaps with any of the two source ranges.

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

Parameters

first1, last1 - the iterator-sentinel pair defining the first source range
r1 - the first source range
first2, last2 - the iterator-sentinel pair defining the second source range
r2 - the second source range
d_first - the beginning of the destination range
d_last - the sentinel of the destination range
d_r - the destination range
comp - the comparator to be applied to the (projected) elements
proj1 - the projection to be applied to the elements in the first source range
proj2 - the projection to be applied to the elements in the second source range
policy - the execution policy to use

Return value

A ranges::set_symmetric_difference_result object where:

  • For the data member in1:
    • If all elements of the first source range are copied or skipped, in1 holds the past-the-end iterator of that range.
    • Otherwise, if all elements of the second source range are copied or skipped, in1 holds an iterator to the first remaining non-skipped element in the first source range.
    • Otherwise see below.
  • For the data member in2:
    • If all elements of the second source range are copied or skipped, in2 holds the past-the-end iterator of that range.
    • Otherwise, if all elements of the first source range are copied or skipped, in2 holds an iterator to the first remaining non-skipped element in the second source range.
    • Otherwise see below.
  • The data member out holds an iterator past the last assigned element in the destination range, or an iterator to the beginning of the destination range if no element is assigned.

If both source ranges have elements remaining, let elem1 and elem2 be the first remaining non-skipped elements in the two source ranges respectively:

  • If elem2 does not exist or elem1 orders before elem2, in1 holds an iterator to elem1, and in2 holds an iterator to the first remaining element in the second source range that is ordered after elem1.
  • Otherwise, in2 holds an iterator to elem2, and in1 holds an iterator to the first remaining element in the first source range that is ordered after elem2.

Complexity

Given

  • N1 as ranges::distance(first1, last1) or ranges::distance(r1),
  • N2 as ranges::distance(first2, last2) or ranges::distance(r2):
1,2) At most 2⋅(N1+N2)-1 applications of comp, proj1 and proj2.
3,4) 𝓞(N1+N2) applications of comp, proj1 and proj2.

Exceptions

3,4) During the execution process:
  • If the temporary memory resources required for parallelization are not available, std::bad_alloc is thrown.
  • If an uncaught exception is thrown while accessing objects via an algorithm argument, the behavior is determined by the execution policy (for standard policies, std::terminate is invoked).

Possible implementation

struct set_symmetric_difference_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_symmetric_difference_result<I1, I2, O>
        operator()(I1 first1, S1 last1, I2 first2, S2 last2, O d_first,
                   Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {}) const
    {
        while (!(first1 == last1 or first2 == last2))
        {
            if (std::invoke(comp, std::invoke(proj1, *first1),
                                  std::invoke(proj2, *first2)))
            {
                *d_first = *first1;
                ++first1;
                ++result;
            }
            else if (std::invoke(comp, std::invoke(proj2, *first2),
                                       std::invoke(proj1, *first1)))
            {
                *d_first = *first2;
                ++first2;
                ++result;
            }
            else
            {
                ++first1;
                ++first2;
            }
        }
        auto res1{ranges::copy(std::move(first1), std::move(last1), std::move(d_first))};
        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 R>
    constexpr get_end(R&& r)
    {
        return ranges::end(r);
    }
    
    template<ranges::forward_range R>
    constexpr get_end(R&& r)
    {
        return ranges::next(ranges::begin(r), ranges::end(r));
    }
    
    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_symmetric_difference_result
        <ranges::borrowed_iterator_t<R1>, ranges::borrowed_iterator_t<R2>, O>
        operator()(R1&& r1, R2&& r2, O d_first,
                   Comp comp = {}, Proj1 proj1 = {}, Proj2 proj2 = {}) const
    {
        return (*this)(ranges::begin(r1), get_end(r1),
                       ranges::begin(r2), get_end(r2),
                       std::move(d_first), std::move(comp),
                       std::move(proj1), std::move(proj2));
    }
};

inline constexpr set_symmetric_difference_fn set_symmetric_difference{};

Example

#include <algorithm>
#include <iostream>
#include <iterator>
#include <vector>

void visualize_this(const auto& v, int min = 1, int max = 9)
{
    for (auto i{min}; i <= max; ++i)
    {
        std::ranges::binary_search(v, i) ? std::cout << i : std::cout << '.';
        std::cout << ' ';
    }
    std::cout << '\n';
}

int main()
{
    const auto in1 = {1, 3, 4,    6, 7, 9};
    const auto in2 = {1,    4, 5, 6,    9};
    std::vector<int> out;
    
    std::ranges::set_symmetric_difference(in1, in2, std::back_inserter(out));
    
    visualize_this(in1);
    visualize_this(in2);
    visualize_this(out);
}

Output:

1 . 3 4 . 6 7 . 9
1 . . 4 5 6 . . 9
. . 3 . 5 . 7 . .

See also