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std::ranges::is_sorted_until

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Algorithm library
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Constrained algorithms
All names in this menu belong to namespace std::ranges
Non-modifying sequence operations
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Modifying sequence operations
Partitioning operations
Sorting operations
Binary search operations (on sorted ranges)
       
       
Set operations (on sorted ranges)
Heap operations
Minimum/maximum operations
       
       
Permutation operations
Specialized <memory> algorithms
Return types
 
Defined in header <algorithm>
Call signature
template< std::forward_iterator I, std::sentinel_for<I> S,
          class Proj = std::identity,
          std::indirect_strict_weak_order
              <std::projected<I, Proj>> Comp = ranges::less >
constexpr I
    is_sorted_until( I first, S last, Comp comp = {}, Proj proj = {} );
(1) (since C++20)
template< std::forward_range R, class Proj = std::identity,
          std::indirect_strict_weak_order
              <std::projected<ranges::iterator_t<R>,
                              Proj>> Comp = ranges::less >
constexpr ranges::borrowed_iterator_t<R>
    is_sorted_until( R&& r, Comp comp = {}, Proj proj = {} );
(2) (since C++20)
template< /*execution-policy*/ Ep,
          std::random_access_iterator I, std::sized_sentinel_for<I> S,
          class Proj = std::identity,
          std::indirect_strict_weak_order
              <std::projected<I, Proj>> Comp = ranges::less >
I is_sorted_until( Ep&& policy, I first, S last,
                   Comp comp = {}, Proj proj = {} );
(3) (since C++26)
template< /*execution-policy*/ Ep, /*sized-random-access-range*/ R,
          class Proj = std::identity,
          std::indirect_strict_weak_order
              <std::projected<ranges::iterator_t<R>,
                              Proj>> Comp = ranges::less >
ranges::borrowed_iterator_t<R>
    is_sorted_until( Ep&& policy, R&& r, Comp comp = {}, Proj proj = {} );
(4) (since C++26)

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

1,2) Examines the source range [firstlast) or r and finds the largest range which begins at first or ranges::begin(r) and is sorted with respect to the comparator comp and projection proj.
3,4) Same as (1,2), but executed according to policy.

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

Parameters

first, last - the iterator-sentinel pair defining the source range
r - the source range
comp - the comparator to be applied to the (projected) elements
proj - the projection to be applied to the elements
policy - the execution policy to use

Return value

The past-the-end iterator of the largest range found.

Complexity

Given N as ranges::distance(first, last) or ranges::distance(r):

1-4) 𝓞(N) applications of comp, and twice as many applications of proj.

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).

Notes

For empty ranges and ranges of length one, ranges::is_sorted_until returns its past-the-end iterator.

Possible implementation

struct is_sorted_until_fn
{
    template<std::forward_iterator I, std::sentinel_for<I> S,
             class Proj = std::identity,
             std::indirect_strict_weak_order
                 <std::projected<I, Proj>> Comp = ranges::less>
    constexpr I operator()(I first, S last, Comp comp = {}, Proj proj = {}) const
    {
        if (first == last)
            return first;
        
        for (auto next = first; ++next != last; first = next)
            if (std::invoke(comp, std::invoke(proj, *next),
                                  std::invoke(proj, *first)))
                return next;
        
        return first;
    }
    
    template<ranges::forward_range R, class Proj = std::identity,
             std::indirect_strict_weak_order
                 <std::projected<ranges::iterator_t<R>, Proj>> Comp = ranges::less>
    constexpr ranges::borrowed_iterator_t<R>
        operator()(R&& r, Comp comp = {}, Proj proj = {}) const
    {
        return (*this)(ranges::begin(r),
                       ranges::next(ranges::begin(r), ranges::end(r)),
                       std::ref(comp), std::ref(proj));
    }
};

inline constexpr is_sorted_until_fn is_sorted_until;

Example

#include <array>
#include <algorithm>
#include <iostream>
#include <iterator>
#include <random>

int main()
{
    std::random_device rd;
    std::mt19937 g{rd()};
    std::array nums{3, 1, 4, 1, 5, 9};
    
    constexpr int min_sorted_size = 4;
    int sorted_size = 0;
    do
    {
        std::ranges::shuffle(nums, g);
        const auto sorted_end = std::ranges::is_sorted_until(nums);
        sorted_size = std::ranges::distance(nums.begin(), sorted_end);
        
        std::ranges::copy(nums, std::ostream_iterator<int>(std::cout, " "));
        std::cout << ": " << sorted_size << " leading sorted element(s)\n";
    }
    while (sorted_size < min_sorted_size);
}

Possible output:

4 1 9 5 1 3 : 1 leading sorted element(s)
4 5 9 3 1 1 : 3 leading sorted element(s)
9 3 1 4 5 1 : 1 leading sorted element(s)
1 3 5 4 1 9 : 3 leading sorted element(s)
5 9 1 1 3 4 : 2 leading sorted element(s)
4 9 1 5 1 3 : 2 leading sorted element(s)
1 1 4 9 5 3 : 4 leading sorted element(s)

See also