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std::ranges::sample

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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::input_iterator I, std::sentinel_for<I> S,
          std::weakly_incrementable O, class Gen >
    requires (std::forward_iterator<I> || std::random_access_iterator<O>) &&
             std::indirectly_copyable<I, O> &&
             std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
O sample( I first, S last, O d_first,
          std::iter_difference_t<I> count, Gen&& gen );
(1) (since C++20)
template< ranges::input_range R, std::weakly_incrementable O, class Gen >
    requires (ranges::forward_range<R> || std::random_access_iterator<O>) &&
             std::indirectly_copyable<ranges::iterator_t<R>, O> &&
             std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
O sample( R&& r, O d_first, ranges::range_difference_t<R> count, Gen&& gen );
(2) (since C++20)

Randomly copies count different elements from the source range [firstlast) or r to the destination range beginning at d_first, such that each possible combination has equal probability of appearance. The source of randomness is gen.

If count is greater than ranges::distance(first, last) or ranges::distance(r), all elements in the source range will be copied.

The algorithm is stable (preserves the relative order of the selected elements) only if I or ranges::iterator_t<R> models forward_iterator.

If out is in the source range, 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
d_first - the beginning of the destination range
count - the sample size
gen - the random number generator

Return value

The past-the-end iterator of the destination range.

Complexity

1) Linear in ranges::distance(first, last).
2) Linear in ranges::distance(r).

Notes

This function may implement selection sampling or reservoir sampling.

Possible implementation

struct sample_fn
{
    template<std::input_iterator I, std::sentinel_for<I> S,
             std::weakly_incrementable O, class Gen>
        requires (std::forward_iterator<I> or std::random_access_iterator<O>) &&
                 std::indirectly_copyable<I, O> &&
                 std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
    O operator()(I first, S last, O d_first,
                 std::iter_difference_t<I> count, Gen&& gen) const
    {
        using diff_t = std::iter_difference_t<I>;
        using distrib_t = std::uniform_int_distribution<diff_t>;
        using param_t = typename distrib_t::param_type;
        distrib_t D{};
        
        if constexpr (std::forward_iterator<I>)
        {
            // this branch preserves stability of the sample elements
            auto rest{ranges::distance(first, last)};
            for (count = ranges::min(count, rest); count != 0; ++first)
                if (D(gen, param_t(0, --rest)) < count)
                {
                    *out++ = *first;
                    --count;
                }
            return out;
        }
        else
        {
            // O is a random_access_iterator
            diff_t sample_size{};
            // copy [first, first + M) elements to random access output
            for (; first != last && sample_size != count; ++first)
                out[sample_size++] = *first;
            // overwrite some of the copied elements with randomly selected ones
            for (auto pop_size{sample_size}; first != last; ++first, ++pop_size)
            {
                const auto i{D(gen, param_t{0, pop_size})};
                if (i < count)
                    out[i] = *first;
            }
            return out + sample_size;
        }
    }
    
    template<ranges::input_range R>
    auto get_end(R&& r)
    {
        return ranges::end(r);
    }
    
    template<ranges::forward_range R>
    auto get_end(R&& r)
    {
        return ranges::next(ranges::begin(r), ranges::end(r));
    }
    
    template<ranges::input_range R, std::weakly_incrementable O, class Gen>
        requires (ranges::forward_range<R> or std::random_access_iterator<O>) &&
                 std::indirectly_copyable<ranges::iterator_t<R>, O> &&
                 std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
    O operator()(R&& r, O d_first,
                 ranges::range_difference_t<R> count, Gen&& gen) const
    {
        return (*this)(ranges::begin(r), get_end(r),
                       std::move(out), count, std::forward<Gen>(gen));
    }
};

inline constexpr sample_fn sample{};

Example

#include <algorithm>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <random>
#include <vector>

void print(const auto& rem, const auto& v)
{
    std::cout << rem << " = [" << std::size(v) << "] { ";
    for const auto& e : v)
        std::cout << e << ' ';
    std::cout << "}\n";
}

int main()
{
    const auto in = {1, 2, 3, 4, 5, 6};
    print("in", in);
    
    std::vector<int> out;
    const int max = in.size() + 2;
    auto gen = std::mt19937{std::random_device{}()};
    
    for (int n{}; n != max; ++n)
    {
        out.clear();
        std::ranges::sample(in, std::back_inserter(out), n, gen);
        std::cout << "n = " << n;
        print(", out", out);
    }
}

Possible output:

in = [6] { 1 2 3 4 5 6 }
n = 0, out = [0] { }
n = 1, out = [1] { 5 }
n = 2, out = [2] { 4 5 }
n = 3, out = [3] { 2 3 5 }
n = 4, out = [4] { 2 4 5 6 }
n = 5, out = [5] { 1 2 3 5 6 }
n = 6, out = [6] { 1 2 3 4 5 6 }
n = 7, out = [6] { 1 2 3 4 5 6 }

See also

(C++17)
selects N random elements from a sequence
(function template) [edit]
randomly re-orders elements in a range
(algorithm function object)[edit]
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