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std::set_symmetric_difference

Defined in header <algorithm>
template< class InputIt1, class InputIt2, class OutputIt >
OutputIt set_symmetric_difference( InputIt1 first1, InputIt1 last1,
                                   InputIt2 first2, InputIt2 last2,
                                   OutputIt d_first );
(1)
template< class ExecutionPolicy, class InputIt1, class InputIt2, class OutputIt >
OutputIt set_symmetric_difference( ExecutionPolicy&& policy, InputIt1 first1, InputIt1 last1,
                                   InputIt2 first2, InputIt2 last2,
                                   OutputIt d_first );
(2) (since C++17)
template< class InputIt1, class InputIt2,
          class OutputIt, class Compare >
OutputIt set_symmetric_difference( InputIt1 first1, InputIt1 last1,
                                   InputIt2 first2, InputIt2 last2,
                                   OutputIt d_first, Compare comp );
(3)
template< class ExecutionPolicy, class InputIt1, class InputIt2,
          class OutputIt, class Compare >
OutputIt set_symmetric_difference( ExecutionPolicy&& policy, InputIt1 first1, InputIt1 last1,
                                   InputIt2 first2, InputIt2 last2,
                                   OutputIt d_first, Compare comp );
(4) (since C++17)

Computes symmetric difference of two sorted ranges: the elements that are found in either of the ranges, but not in both of them are copied to the range beginning at d_first. The resulting range is also sorted.

If some element is found m times in [first1, last1) and n times in [first2, last2), it will be copied to d_first exactly std::abs(m-n) times. If m>n, then the last m-n of those elements are copied from [first1,last1), otherwise the last n-m elements are copied from [first2,last2). The resulting range cannot overlap with either of the input ranges.

1) Elements are compared using operator< and the ranges must be sorted with respect to the same.
3) Elements are compared using the given binary comparison function comp and the ranges must be sorted with respect to the same.
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

Parameters

first1, last1 - the first sorted range of elements
first2, last2 - the second sorted range of elements
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 (i.e. is ordered before) the second.

The signature of the comparison function should be equivalent to the following:

bool cmp(const Type1 &a, const Type2 &b);

The signature does not need to have const &, but the function object must not modify the objects passed to it.
The types Type1 and Type2 must be such that objects of types InputIt1 and InputIt2 can be dereferenced and then implicitly converted to both Type1 and Type2. ​

Type requirements
- InputIt1 must meet the requirements of InputIterator.
- InputIt2 must meet the requirements of InputIterator.
- OutputIt must meet the requirements of OutputIterator.

Return value

Iterator past the end of the constructed range.

Complexity

At most 2·(N1+N2-1) comparisons, where N1 = std::distance(first1, last1) and N2 = std::distance(first2, last2).

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, std::terminate is called.
  • If the algorithm fails to allocate memory, std::bad_alloc is thrown.

Possible implementation

First version
template<class InputIt1, class InputIt2, class OutputIt>
OutputIt set_symmetric_difference(InputIt1 first1, InputIt1 last1,
                                  InputIt2 first2, InputIt2 last2,
                                  OutputIt d_first)
{
    while (first1 != last1) {
        if (first2 == last2) return std::copy(first1, last1, d_first);
 
        if (*first1 < *first2) {
            *d_first++ = *first1++;
        } else {
            if (*first2 < *first1) {
                *d_first++ = *first2;
            } else {
                ++first1;
            }
            ++first2;
        }
    }
    return std::copy(first2, last2, d_first);
}
Second version
template<class InputIt1, class InputIt2,
         class OutputIt, class Compare>
OutputIt set_symmetric_difference(InputIt1 first1, InputIt1 last1,
                                  InputIt2 first2, InputIt2 last2,
                                  OutputIt d_first, Compare comp)
{
    while (first1 != last1) {
        if (first2 == last2) return std::copy(first1, last1, d_first);
 
        if (comp(*first1, *first2)) {
            *d_first++ = *first1++;
        } else {
            if (comp(*first2, *first1)) {
                *d_first++ = *first2;
            } else {
                ++first1;
            }
            ++first2;
        }
    }
    return std::copy(first2, last2, d_first);
}

Example

#include <iostream>
#include <vector>
#include <algorithm>
#include <iterator>
int main()
{
    std::vector<int> v1{1,2,3,4,5,6,7,8     };
    std::vector<int> v2{        5,  7,  9,10};
    std::sort(v1.begin(), v1.end());
    std::sort(v2.begin(), v2.end());
 
    std::vector<int> v_symDifference;
 
    std::set_symmetric_difference(
        v1.begin(), v1.end(),
        v2.begin(), v2.end(),
        std::back_inserter(v_symDifference));
 
    for(int n : v_symDifference)
        std::cout << n << ' ';
}

Output:

1 2 3 4 6 8 9 10

See also

returns true if one set is a subset of another
(function template)
computes the difference between two sets
(function template)
computes the union of two sets
(function template)
computes the intersection of two sets
(function template)
parallelized version of std::set_symmetric_difference
(function template)

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