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std::ranges::fold_left_first

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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,
          /*indirectly-binary-left-foldable*/<std::iter_value_t<I>, I> F >
    requires std::constructible_from<std::iter_value_t<I>,
                                     std::iter_reference_t<I>>
constexpr auto fold_left_first( I first, S last, F f );
(1) (since C++23)
template< ranges::input_range R,
          /*indirectly-binary-left-foldable*/<ranges::range_value_t<R>,
                                              ranges::iterator_t<R>> F >
    requires std::constructible_from<ranges::range_value_t<R>,
                                     ranges::range_reference_t<R>>
constexpr auto fold_left_first( R&& r, F f );
(2) (since C++23)

For the definition of /*indirectly-binary-left-foldable*/, see this page.

Left-folds the elements of the source range, that is, returns the result of evaluation of the chain expression:
f(f(f(f(x1, x2), x3), ...), xn), where x1, x2, ..., xn are elements of the source range.

1) The source range is [firstlast).
2) The source range is r.

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
f - the binary function object

Return value

An std::optional object containing the left-fold result, or does not contain a value if the source range is empty.

Notes

The following table compares all constrained folding algorithms. U below is the fold result type, it is the decayed type of F's result type.

Fold function template Starts from Initial value Return type
ranges::fold_left left init U
ranges::fold_left_first left first element std::optional<U>
ranges::fold_right right init U
ranges::fold_right_last right last element std::optional<U>
ranges::fold_left_with_iter left init

(1) ranges::in_value_result<I, U>

(2) ranges::in_value_result<BR, U>,

where BR is ranges::borrowed_iterator_t<R>

ranges::fold_left_first_with_iter left first element

(1) ranges::in_value_result<I, std::optional<U>>

(2) ranges::in_value_result<BR, std::optional<U>>

where BR is ranges::borrowed_iterator_t<R>

Feature-test macro Value Std Feature
__cpp_lib_ranges_fold 202207L (C++23) std::ranges fold algorithms

Possible implementations

struct fold_left_first_fn
{
    template<std::input_iterator I, std::sentinel_for<I> S,
             /*indirectly-binary-left-foldable*/<std::iter_value_t<I>, I> F>
        requires std::constructible_from<std::iter_value_t<I>,
                                         std::iter_reference_t<I>>
    constexpr auto operator()(I first, S last, F f) const
    {
        using U = decltype(ranges::fold_left(std::move(first), last,
                                             std::iter_value_t<I>(*first), f));
        if (first == last)
            return std::optional<U>();
        std::optional<U> init(std::in_place, *first);
        for (++first; first != last; ++first)
            *init = std::invoke(f, std::move(*init), *first);
        return std::move(init);
    }
    
    template<ranges::input_range R,
             /*indirectly-binary-left-foldable*/<ranges::range_value_t<R>,
                                                 ranges::iterator_t<R>> F>
        requires std::constructible_from<ranges::range_value_t<R>,
                                         ranges::range_reference_t<R>>
    constexpr auto operator()(R&& r, F f) const
    {
        return (*this)(ranges::begin(r), ranges::end(r), std::ref(f));
    }
    
    template<ranges::forward_range R,
             /*indirectly-binary-left-foldable*/<ranges::range_value_t<R>,
                                                 ranges::iterator_t<R>> F>
        requires std::constructible_from<ranges::range_value_t<R>,
                                         ranges::range_reference_t<R>>
    constexpr auto operator()(R&& r, F f) const
    {
        return (*this)(ranges::begin(r),
                       ranges::next(ranges::begin(r), ranges::end(r)),
                       std::ref(f));
    }
};

inline constexpr fold_left_first_fn fold_left_first;

Example

#include <algorithm>
#include <array>
#include <functional>
#include <ranges>
#include <utility>

int main()
{
    constexpr std::array v{1, 2, 3, 4, 5, 6, 7, 8};
    static_assert
    (
        *std::ranges::fold_left_first(v.begin(), v.end(), std::plus{}) == 36
        && *std::ranges::fold_left_first(v, std::multiplies{}) == 40320
    );
    
    constexpr std::array w
    {
        1, 2, 3, 4, 13,
        1, 2, 3, 4, 13,
        1, 2, 3, 4, 13,
        1, 2, 3, 4,
    };
    static_assert
    (
        "Find the only value that (by precondition) occurs odd number of times:"
        && *std::ranges::fold_left_first(w, [](int p, int q){ return p ^ q; }) == 13
    );
    
    constexpr auto pairs = std::to_array<std::pair<char, float>>
    ({
        {'A', 3.0f},
        {'B', 3.5f},
        {'C', 4.0f}
    });
    static_assert
    (
        "Get the product of all pair::second in pairs:"
        && *std::ranges::fold_left_first
        (
            pairs | std::ranges::views::values, std::multiplies{}
        ) == 42
    );
}

References

  • C++23 standard (ISO/IEC 14882:2024):
  • 27.6.18 Fold [alg.fold]

See also

left-folds a range of elements
(algorithm function object)[edit]
right-folds a range of elements
(algorithm function object)[edit]
right-folds a range of elements using the last element as an initial value
(algorithm function object)[edit]
left-folds a range of elements, and returns a pair (iterator, value)
(algorithm function object)[edit]
left-folds a range of elements using the first element as an initial value, and returns a pair (iterator, optional)
(algorithm function object)[edit]
sums up or folds a range of elements
(function template) [edit]
(C++17)
similar to std::accumulate, except out of order
(function template) [edit]