std::ranges::is_partitioned - cppreference.com
Namespaces
Variants

std::ranges::is_partitioned

From cppreference.com
 
 
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::input_iterator I, std::sentinel_for<I> S,
          class Proj = std::identity,
          std::indirect_unary_predicate<std::projected<I, Proj>> Pred >
constexpr bool is_partitioned( I first, S last, Pred pred, Proj proj = {} );
(1) (since C++20)
template< ranges::input_range R, class Proj = std::identity,
          std::indirect_unary_predicate
              <std::projected<ranges::iterator_t<R>, Proj>> Pred >
constexpr bool is_partitioned( R&& r, Pred pred, 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_unary_predicate<std::projected<I, Proj>> Pred >
bool is_partitioned( Ep&& policy, I first, S last, Pred pred, Proj proj = {} );
(3) (since C++26)
template< /*execution-policy*/ Ep,
          /*sized-random-access-range*/ R, class Proj = std::identity,
          std::indirect_unary_predicate
              <std::projected<ranges::iterator_t<R>, Proj>> Pred >
bool is_partitioned( Ep&& policy, R&& r, Pred pred, 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 whether the elements e in the source range [firstlast) or r are partitioned with respect to the expression bool(std::invoke(pred, std::invoke(proj, e))): all elements (projected by proj) satisfy pred appear before all elements that do not.
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
pred - the predicate 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 the elements of the source range are partiationed as descibed above or the source range is empty, false otherwise.

Complexity

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

1,2) At most N applications of pred and proj.
3,4) 𝓞(N) applications of pred and proj.

Possible implementation

struct is_partitioned_fn
{
    template<std::input_iterator I, std::sentinel_for<I> S, class Proj = std::identity,
             std::indirect_unary_predicate<std::projected<I, Proj>> Pred>
    constexpr bool operator()(I first, S last, Pred pred, Proj proj = {}) const
    {
        for (; first != last; ++first)
            if (!std::invoke(pred, std::invoke(proj, *first)))
                break;
        
        for (; first != last; ++first)
            if (std::invoke(pred, std::invoke(proj, *first)))
                return false;
        
        return true;
    }
    
    template<ranges::input_range R, class Proj = std::identity,
             std::indirect_unary_predicate<std::projected<ranges::iterator_t<R>, Proj>> Pred>
    constexpr bool operator()(R&& r, Pred pred, Proj proj = {}) const
    {
        return (*this)(ranges::begin(r), ranges::end(r), std::ref(pred), std::ref(proj));
    }
    
    template<ranges::forward_range R, class Proj = std::identity,
             std::indirect_unary_predicate<std::projected<ranges::iterator_t<R>, Proj>> Pred>
    constexpr bool operator()(R&& r, Pred pred, Proj proj = {}) const
    {
        return (*this)(ranges::begin(r), ranges::next(ranges::begin(r), ranges::end(r)),
                       std::ref(pred), std::ref(proj));
    }
};

inline constexpr is_partitioned_fn is_partitioned;

Example

#include <algorithm>
#include <array>
#include <iostream>
#include <numeric>
#include <utility>

int main()
{
    std::array<int, 9> v;
    
    auto print = [&v](bool o)
    {
        for (int x : v)
            std::cout << x << ' ';
        std::cout << (o ? "=> " : "=> not ") << "partitioned\n";
    };
    
    auto is_even = [](int i) { return i % 2 == 0; };
    
    std::iota(v.begin(), v.end(), 1); // or std::ranges::iota(v, 1);
    print(std::ranges::is_partitioned(v, is_even));
    
    std::ranges::partition(v, is_even);
    print(std::ranges::is_partitioned(std::as_const(v), is_even));
    
    std::ranges::reverse(v);
    print(std::ranges::is_partitioned(v.cbegin(), v.cend(), is_even));
    print(std::ranges::is_partitioned(v.crbegin(), v.crend(), is_even));
}

Output:

1 2 3 4 5 6 7 8 9 => not partitioned
2 4 6 8 5 3 7 1 9 => partitioned
9 1 7 3 5 8 6 4 2 => not partitioned
9 1 7 3 5 8 6 4 2 => partitioned

See also