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std::ranges::is_sorted

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Algorithm library
Constrained algorithms and algorithms on ranges (C++20)
Constrained algorithms, e.g. ranges::copy, ranges::sort, ...
Non-modifying sequence operations    
Batch operations
(C++17)
Search operations
Modifying sequence operations
Copy operations
(C++11)
(C++11)
Swap operations
Transformation operations
Generation operations
Removing operations
Order-changing operations
(until C++17)(C++11)
(C++20)(C++20)
Sampling operations
(C++17)

Sorting and related operations
Partitioning operations
(C++11)    

Sorting operations
Binary search operations
(on partitioned ranges)
Set operations (on sorted ranges)
Merge operations (on sorted ranges)
Heap operations
Minimum/maximum operations
(C++11)
(C++17)
Lexicographical comparison operations
Permutation operations


 
Constrained algorithms
All names in this menu belong to namespace std::ranges
Non-modifying sequence operations
Fold operations (Helper templates)
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 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)
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 >
bool is_sorted( 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 >
bool is_sorted( 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) Checks if all elements of the source range [firstlast) or r are 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

true if all elements of the source range are sorted, false otherwise.

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

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

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::next(ranges::begin(r), ranges::end(r)),
                       std::ref(comp), std::ref(proj));
    }
};

inline constexpr is_sorted_fn is_sorted;

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 (descending)\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 (descending)

See also