std::ranges::partition - cppreference.com
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std::ranges::partition

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(C++11)    

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(on partitioned ranges)
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Constrained algorithms
All names in this menu belong to namespace std::ranges
Non-modifying sequence operations
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Specialized <memory> algorithms
Return types
 
Defined in header <algorithm>
Call signature
template< std::permutable I, std::sentinel_for<I> S, class Proj = std::identity,
          std::indirect_unary_predicate<std::projected<I, Proj>> Pred >
constexpr ranges::subrange<I>
    partition( 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 >
    requires std::permutable<ranges::iterator_t<R>>
constexpr ranges::borrowed_subrange_t<R>
    partition( 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 >
    requires std::permutable<I>
ranges::subrange<I>
    partition( 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 >
    requires std::permutable<ranges::iterator_t<R>>
ranges::borrowed_subrange_t<R>
    partition( 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) Partitions the elements e in the target range [firstlast) or r 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 target range
r - the target 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

A subrange from the partition point to the end of the target range. All elements outside the subrange satisfy p, while all elements in the subrange do not.

Complexity

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

1,2) At most N swaps (or only at most
N
2
swaps if I or ranges::iterator_t<R> models bidirectional_iterator), and exactly N applications of pred and proj.
3,4) 𝓞(N·log(N)) swaps, and 𝓞(N) applications of pred and 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).

Possible implementation

struct partition_fn
{
    template<std::permutable I, std::sentinel_for<I> S, class Proj = std::identity,
             std::indirect_unary_predicate<std::projected<I, Proj>> Pred>
    constexpr ranges::subrange<I>
        operator()(I first, S last, Pred pred, Proj proj = {}) const
    {
        first = ranges::find_if_not(first, last, std::ref(pred), std::ref(proj));
        if (first == last)
            return {first, first};
        
        for (auto i = ranges::next(first); i != last; ++i)
        {
            if (std::invoke(pred, std::invoke(proj, *i)))
            {
                ranges::iter_swap(i, first);
                ++first;
            }
        }
        return {std::move(first), std::move(last)};
    }
    
    template<ranges::forward_range R, class Proj = std::identity,
             std::indirect_unary_predicate
                 <std::projected<ranges::iterator_t<R>, Proj>> Pred>
        requires std::permutable<ranges::iterator_t<R>>
    constexpr ranges::borrowed_subrange_t<R>
        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 partition_fn partition;

Example

#include <algorithm>
#include <forward_list>
#include <functional>
#include <iostream>
#include <iterator>
#include <ranges>
#include <vector>

namespace ranges = std::ranges;

template<class I, std::sentinel_for<I> S, class Cmp = ranges::less>
    requires std::sortable<I, Cmp>
void quicksort(I first, S last, Cmp cmp = Cmp {})
{
    using reference = std::iter_reference_t<I>;
    
    if (first == last)
        return;
    
    auto size = ranges::distance(first, last);
    auto pivot = ranges::next(first, size - 1);
    ranges::iter_swap(pivot, ranges::next(first, size / 2));
    
    auto tail = ranges::partition(first, pivot, [=](reference em)
    {
        return std::invoke(cmp, em, *pivot); // em < pivot
    });
    
    ranges::iter_swap(pivot, tail.begin());
    quicksort(first, tail.begin(), std::ref(cmp));
    quicksort(ranges::next(tail.begin()), last, std::ref(cmp));
}

int main()
{
    std::ostream_iterator<int> cout{std::cout, " "};
    
    std::vector<int> v{0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
    std::cout << "Original vector: ";
    ranges::copy(v, cout);
    
    auto tail = ranges::partition(v, [](int i) { return i % 2 == 0; });
    
    std::cout << "\nPartitioned vector: ";
    ranges::copy(ranges::begin(v), ranges::begin(tail), cout);
    std::cout << "│ ";
    ranges::copy(tail, cout);
    
    std::forward_list<int> fl{1, 30, -4, 3, 5, -4, 1, 6, -8, 2, -5, 64, 1, 92};
    std::cout << "\nUnsorted list: ";
    ranges::copy(fl, cout);
    
    quicksort(ranges::begin(fl), ranges::end(fl), ranges::greater{});
    std::cout << "\nSorted using quicksort: ";
    ranges::copy(fl, cout);
    
    std::cout << '\n';
}

Possible output:

Original vector: 0 1 2 3 4 5 6 7 8 9
Partitioned vector: 0 8 2 6 4 │ 5 3 7 1 9
Unsorted list: 1 30 -4 3 5 -4 1 6 -8 2 -5 64 1 92
Sorted using quicksort: 92 64 30 6 5 3 2 1 1 1 -4 -4 -5 -8

See also