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Showing content from https://en.cppreference.com/w/cpp/algorithm/../symbol_index/../algorithm/ranges/set_difference.html below:

std::ranges::set_difference, std::ranges::set_difference_result - cppreference.com

Call signature

Helper types

Copies the elements from the sorted input range [first1, last1) which are not found in the sorted input range [first2, last2) to the output range beginning at result.

The behavior is undefined if

• the input ranges are not sorted with respect to comp and proj1 or proj2, respectively, or
• the resulting range overlaps with either of the input ranges.

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:

• Explicit template argument lists cannot be specified when calling any of them.
• None of them are visible to argument-dependent lookup.
• When any of them are found by normal unqualified lookup as the name to the left of the function-call operator, argument-dependent lookup is inhibited.

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

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.

struct set_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_difference_result<I1, O>
        operator()(I1 first1, S1 last1, I2 first2, S2 last2,
                   O result, 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)))
            {
                *result = *first1;
                ++first1;
                ++result;
            }
            else if (std::invoke(comp, std::invoke(proj2, *first2),
                                 std::invoke(proj1, *first1)))
                ++first2;
            else
            {
                ++first1;
                ++first2;
            }
        }
        return ranges::copy(std::move(first1), std::move(last1), std::move(result));
    }
 
    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_difference_result<ranges::borrowed_iterator_t<R1>, 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_difference_fn set_difference {};

#include <algorithm>
#include <cassert>
#include <iostream>
#include <iterator>
#include <string_view>
#include <vector>
 
auto print = [](const auto& v, std::string_view end = "")
{
    std::cout << "{ ";
    for (auto n{v.size()}; auto i : v)
        std::cout << i << (--n ? ", " : " ");
    std::cout << "} " << end;
};
 
struct Order // a struct with some very interesting data
{
    int order_id{};
 
    friend std::ostream& operator<<(std::ostream& os, const Order& ord)
    {
        return os << '{' << ord.order_id << '}';
    }
};
 
int main()
{
    const auto v1 = {1, 2, 5, 5, 5, 9};
    const auto v2 = {2, 5, 7};
    std::vector<int> diff{};
 
    std::ranges::set_difference(v1, v2, std::back_inserter(diff));
    print(v1, "∖ ");
    print(v2, "= ");
    print(diff, "\n\n");
 
    // We want to know which orders "cut" between old and new states:
    const std::vector<Order> old_orders{{1}, {2}, {5}, {9}};
    const std::vector<Order> new_orders{{2}, {5}, {7}};
    std::vector<Order> cut_orders(old_orders.size() + new_orders.size());
 
    auto [old_orders_end, cut_orders_last] =
        std::ranges::set_difference(old_orders, new_orders,
                                    cut_orders.begin(), {},
                                    &Order::order_id, &Order::order_id);
    assert(old_orders_end == old_orders.end());
 
    std::cout << "old orders = ";
    print(old_orders, "\n");
    std::cout << "new orders = ";
    print(new_orders, "\n");
    std::cout << "cut orders = ";
    print(cut_orders, "\n");
    cut_orders.erase(cut_orders_last, end(cut_orders));
    std::cout << "cut orders = ";
    print(cut_orders, "\n");
}

Output:

{ 1, 2, 5, 5, 5, 9 } ∖ { 2, 5, 7 } = { 1, 5, 5, 9 } 
 
old orders = { {1}, {2}, {5}, {9} } 
new orders = { {2}, {5}, {7} } 
cut orders = { {1}, {9}, {0}, {0}, {0}, {0}, {0} } 
cut orders = { {1}, {9} }

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