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std::ranges::partition_point

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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_unary_predicate<std::projected<I, Proj>> Pred >
constexpr I
    partition_point( I first, S last, Pred pred, Proj proj = {} );
(1) (since C++20)
template< ranges::forward_range R,
          class Proj = std::identity,
          std::indirect_unary_predicate
              <std::projected<ranges::iterator_t<R>, Proj>> Pred >
constexpr ranges::borrowed_iterator_t<R>
    partition_point( R&& r, Pred pred, Proj proj = {} );
(2) (since C++20)

Returns the iterator iter indicating the partition point of the source range [firstlast) or r: all elements (projected by proj) before iter satisfy pred, while all elements starting from iter do not.

If the elements e of the source range are not partitioned with respect to the expression bool(std::invoke(pred, std::invoke(proj, e))), the behavior is undefined.

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

Return value

As described above.

Complexity

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

1,2) 𝓞(log(N)) applications of pred and proj.

Notes

This algorithm is a more general form of ranges::lower_bound, which can be expressed in terms of ranges::partition_point with the predicate [&](auto const& e) { return std::invoke(pred, e, value); });.

Example

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

auto print_seq = [](auto rem, auto first, auto last)
{
    for (std::cout << rem; first != last; std::cout << *first++ << ' ') {}
    std::cout << '\n';
};

int main()
{
    std::array v {1, 2, 3, 4, 5, 6, 7, 8, 9};
    auto is_even = [](int i) { return i % 2 == 0; };
    
    std::ranges::partition(v, is_even);
    print_seq("After partitioning, v: ", v.cbegin(), v.cend());
    
    const auto pp = std::ranges::partition_point(v, is_even);
    const auto i = std::ranges::distance(v.cbegin(), pp);
    std::cout << "Partition point is at " << i << "; v[" << i << "] = " << *pp << '\n';
    
    print_seq("First partition (all even elements): ", v.cbegin(), pp);
    print_seq("Second partition (all odd elements): ", pp, v.cend());
}

Possible output:

After partitioning, v: 2 4 6 8 5 3 7 1 9
Partition point is at 4; v[4] = 5
First partition (all even elements): 2 4 6 8
Second partition (all odd elements): 5 3 7 1 9

See also

locates the partition point of a partitioned range
(function template) [edit]
checks whether a range is sorted
(algorithm function object)[edit]
finds the first element not less than the given value using binary search
(algorithm function object)[edit]
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