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std::ranges::shuffle

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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::random_access_iterator I, std::sentinel_for<I> S, class Gen >
    requires std::permutable<I> &&
             std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
I shuffle( I first, S last, Gen&& gen );
(1) (since C++20)
template< ranges::random_access_range R, class Gen >
    requires std::permutable<ranges::iterator_t<R>> &&
             std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
ranges::borrowed_iterator_t<R> shuffle( R&& r, Gen&& gen );
(2) (since C++20)

Reorders the elements in the target range [firstlast) or r such that each possible permutation of those elements has equal probability of appearance. The source of randomness is gen.

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
gen - the random number generator

Return value

The past the end iterator of the target range.

Complexity

Exactly (last - first) - 1 swaps.

Possible implementation

struct shuffle_fn
{
    template<std::random_access_iterator I, std::sentinel_for<I> S, class Gen>
        requires std::permutable<I> &&
                 std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
    I operator()(I first, S last, Gen&& gen) const
    {
        using diff_t = std::iter_difference_t<I>;
        using distr_t = std::uniform_int_distribution<diff_t>;
        using param_t = typename distr_t::param_type;
        distr_t D;
        const auto n{last - first};
        for (diff_t i {1}; i < n; ++i)
            ranges::iter_swap(first + i, first + D(gen, param_t(0, i)));
        return ranges::next(first, last);
    }
    
    template<ranges::random_access_range R, class Gen>
        requires std::permutable<ranges::iterator_t<R>> &&
                 std::uniform_random_bit_generator<std::remove_reference_t<Gen>>
    ranges::borrowed_iterator_t<R> operator()(R&& r, Gen&& gen) const
    {
        return (*this)(ranges::begin(r),
                       ranges::next(ranges::begin(r), ranges::end(r)),
                       std::forward<Gen>(gen));
    }
};

inline constexpr shuffle_fn shuffle{};

Example

#include <algorithm>
#include <array>
#include <iostream>
#include <random>

void print(const auto& a)
{
    for (const auto e : a)
        std::cout << e << ' ';
    std::cout << '\n';
}

int main()
{
    std::array a{'A', 'B', 'C', 'D', 'E', 'F'};
    print(a);
    
    std::random_device rd;
    std::mt19937 gen{rd()};
    
    for (int i{}; i != 3; ++i)
    {
        std::ranges::shuffle(a, gen);
        print(a);
    }
}

Possible output:

A B C D E F
F E A C D B
E C B F A D
B A E C F D

See also

(until C++17)(C++11)
randomly re-orders elements in a range
(function template) [edit]
generates the next greater lexicographic permutation of a range of elements
(algorithm function object)[edit]
generates the next smaller lexicographic permutation of a range of elements
(algorithm function object)[edit]

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