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Showing content from https://en.cppreference.com/w/cpp/language/../keywords/../algorithm/ranges/iota.html below:

std::ranges::iota, std::ranges::iota_result - cppreference.com

Call signature

(1) (since C++23) (2) (since C++23)

Helper types

(3) (since C++23)

Fills the range [firstlast) with sequentially increasing values, starting with value and repetitively evaluating ++value.

Equivalent operation:

*(first)     = value;
*(first + 1) = ++value;
*(first + 2) = ++value;
*(first + 3) = ++value;
...
[edit] Parameters first, last - the iterator-sentinel pair defining the range of elements to fill with sequentially increasing values starting with value value - initial value to store; the expression ++value must be well-formed [edit] Return value

{last, value + ranges::distance(first, last)}

[edit] Complexity

Exactly last - first increments and assignments.

[edit] Possible implementation
struct iota_fn
{
    template<std::input_or_output_iterator O, std::sentinel_for<O> S,
            std::weakly_incrementable T>
    requires std::indirectly_writable<O, const T&>
    constexpr iota_result<O, T> operator()(O first, S last, T value) const
    {
        while (first != last)
        {
            *first = as_const(value);
            ++first;
            ++value;
        }
        return {std::move(first), std::move(value)};
    }
 
    template<std::weakly_incrementable T, std::ranges::output_range<const T&> R>
    constexpr iota_result<std::ranges::borrowed_iterator_t<R>, T>
    operator()(R&& r, T value) const
    {
        return (*this)(std::ranges::begin(r), std::ranges::end(r), std::move(value));
    }
};
 
inline constexpr iota_fn iota;
[edit] Notes

The function is named after the integer function ⍳ from the programming language APL.

[edit] Example

Uses the vector of iterators (std::vector<std::list<T>::iterator>) as a proxy to shuffle the elements of the std::list, because ranges::shuffle cannot be applied to the std::list directly.

#include <algorithm>
#include <functional>
#include <iostream>
#include <list>
#include <numeric>
#include <random>
#include <vector>
 
template <typename Proj = std::identity>
void println(auto comment, std::ranges::input_range auto&& range, Proj proj = {})
{
    for (std::cout << comment; auto const &element : range)
        std::cout << proj(element) << ' ';
    std::cout << '\n';
}
 
int main()
{
    std::list<int> list(8);
 
    // Fill the list with ascending values: 0, 1, 2, ..., 7
    std::ranges::iota(list, 0);
    println("List: ", list);
 
    // A vector of iterators (see the comment to Example)
    std::vector<std::list<int>::iterator> vec(list.size());
 
    // Fill with iterators to consecutive list's elements
    std::ranges::iota(vec.begin(), vec.end(), list.begin());
 
    std::ranges::shuffle(vec, std::mt19937 {std::random_device {}()});
    println("List viewed via vector: ", vec, [](auto it) { return *it; });
}

Possible output:

List: 0 1 2 3 4 5 6 7
List viewed via vector: 5 7 6 0 1 3 4 2
[edit] See also copy-assigns the given value to every element in a range
(function template) [edit] assigns a range of elements a certain value
(algorithm function object)[edit] assigns the results of successive function calls to every element in a range
(function template) [edit] saves the result of a function in a range
(algorithm function object)[edit] a view consisting of a sequence generated by repeatedly incrementing an initial value
(class template) (customization point object)[edit] fills a range with successive increments of the starting value
(function template) [edit]

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