| Permutation operations | 
|  |  |  | 
| Fold operations | 
|  |  |  | 
|  | 
 | | Operations on uninitialized storage | 
|  |  |  |  | 
| Return types | 
|  |  |  |  | 
 
Fills the range [first, last) 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; 
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]