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std::ranges::is_sorted

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 bool
    is_sorted( I first, S last, Comp comp = {}, Proj proj = {} );
(1) (since C++20)
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 bool
    is_sorted( R&& r, Comp comp = {}, Proj proj = {} );
(2) (since C++20)

Checks if the elements in range [firstlast) are sorted in non-descending order.

A sequence is sorted with respect to a comparator comp if for any iterator it pointing to the sequence and any non-negative integer n such that it + n is a valid iterator pointing to an element of the sequence, std::invoke(comp, std::invoke(proj, *(it + n)), std::invoke(proj, *it)) evaluates to false.

1) Elements are compared using the given binary comparison function comp.
2) Same as (1), but uses r as the source range, as if using ranges::begin(r) as first and ranges::end(r) as last.

The function-like entities described on this page are niebloids, that is:

In practice, they may be implemented as function objects, or with special compiler extensions.

Parameters

first, last - iterator-sentinel defining the range to check if it is sorted
r - the range to check if it is sorted
comp - comparison function to apply to the projected elements
proj - projection to apply to the elements

Return value

true if the elements in the range are sorted according to comp.

Complexity

Linear in the distance between first and last.

Possible implementation

struct is_sorted_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 bool operator()(I first, S last, Comp comp = {}, Proj proj = {}) const
    {
        return ranges::is_sorted_until(first, last, comp, proj) == last;
    }
 
    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 bool operator()(R&& r, Comp comp = {}, Proj proj = {}) const
    {
        return (*this)(ranges::begin(r), ranges::end(r), std::ref(comp), std::ref(proj));
    }
};
 
inline constexpr is_sorted_fn is_sorted;

Notes

ranges::is_sorted returns true for empty ranges and ranges of length one.

Example

#include <algorithm>
#include <array>
#include <functional>
#include <iostream>
#include <iterator>
 
int main()
{
    namespace ranges = std::ranges;
 
    std::array digits {3, 1, 4, 1, 5};
 
    ranges::copy(digits, std::ostream_iterator<int>(std::cout, " "));
    ranges::is_sorted(digits)
        ? std::cout << ": sorted\n"
        : std::cout << ": not sorted\n";
 
    ranges::sort(digits);
 
    ranges::copy(digits, std::ostream_iterator<int>(std::cout, " "));
    ranges::is_sorted(ranges::begin(digits), ranges::end(digits))
        ? std::cout << ": sorted\n"
        : std::cout << ": not sorted\n";
 
    ranges::reverse(digits);
 
    ranges::copy(digits, std::ostream_iterator<int>(std::cout, " "));
    ranges::is_sorted(digits, ranges::greater {})
        ? std::cout << ": sorted (with 'greater')\n"
        : std::cout << ": not sorted\n";
}

Output:

3 1 4 1 5 : not sorted
1 1 3 4 5 : sorted
5 4 3 1 1 : sorted (with 'greater')

See also

(C++20)
finds the largest sorted subrange
(niebloid)
(C++11)
checks whether a range is sorted into ascending order
(function template)

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