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      std::ranges::fold_right

      From cppreference.com
      <cpp‎ |algorithm‎ |ranges
       
       
      Algorithm library
      Constrained algorithms and algorithms on ranges(C++20)
      Constrained algorithms, e.g.ranges::copy,ranges::sort, ...
      Execution policies(C++17)
      Sorting and related operations
      Partitioning operations
      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
      C library
      Numeric operations
      Operations on uninitialized memory
       
      Constrained algorithms
      All names in this menu belong to namespacestd::ranges
      Non-modifying sequence operations
      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
      Fold operations
      (C++23)
      (C++23)  
      fold_right
      (C++23)
      (C++23)  
      Operations on uninitialized storage
      Return types
       
      Defined in header<algorithm>
      Call signature
      (1)
      template<std::bidirectional_iterator I,std::sentinel_for<I> S,class T,

               /* indirectly-binary-right-foldable */<T, I> F>

      constexprauto fold_right( I first, S last, T init, F f);
      (since C++23)
      (until C++26)
      template<std::bidirectional_iterator I,std::sentinel_for<I> S,

               class T=std::iter_value_t<I>,
               /* indirectly-binary-right-foldable */<T, I> F>

      constexprauto fold_right( I first, S last, T init, F f);
      (since C++26)
      (2)
      template<ranges::bidirectional_range R,class T,

               /* indirectly-binary-right-foldable */
                   <T,ranges::iterator_t<R>> F>

      constexprauto fold_right( R&& r, T init, F f);
      (since C++23)
      (until C++26)
      template<ranges::bidirectional_range R,class T=ranges::range_value_t<R>,

               /* indirectly-binary-right-foldable */
                   <T,ranges::iterator_t<R>> F>

      constexprauto fold_right( R&& r, T init, F f);
      (since C++26)
      Helper concepts
      template<class F,class T,class I>
      concept/* indirectly-binary-left-foldable */=/* see description */;
      (3)(exposition only*)
      template<class F,class T,class I>
      concept/* indirectly-binary-right-foldable */=/* see description */;
      (4)(exposition only*)

      Right-folds the elements of given range, that is, returns the result of evaluation of the chain expression:
      f(x1, f(x2, ...f(xn, init))), wherex1,x2, ...,xn are elements of the range.

      Informally,ranges::fold_right behaves likeranges::fold_left(views::reverse(r), init,/*flipped*/(f)).

      The behavior is undefined if[firstlast) is not a valid range.

      1) The range is[firstlast).
      2) Same as(1), except that usesr as the range, as if by usingranges::begin(r) asfirst andranges::end(r) aslast.
      3) Equivalent to:
      Helper concepts
      template<class F,class T,class I,class U>

      concept/*indirectly-binary-left-foldable-impl*/=
         std::movable<T>&&
         std::movable<U>&&
         std::convertible_to<T, U>&&
         std::invocable<F&, U,std::iter_reference_t<I>>&&
         std::assignable_from<U&,

             std::invoke_result_t<F&, U,std::iter_reference_t<I>>>;
      (3A)(exposition only*)
      template<class F,class T,class I>

      concept/*indirectly-binary-left-foldable*/=
         std::copy_constructible<F>&&
         std::indirectly_readable<I>&&
         std::invocable<F&, T,std::iter_reference_t<I>>&&
         std::convertible_to<std::invoke_result_t<F&, T,std::iter_reference_t<I>>,
             std::decay_t<std::invoke_result_t<F&, T,std::iter_reference_t<I>>>>&&
         /*indirectly-binary-left-foldable-impl*/<F, T, I,

             std::decay_t<std::invoke_result_t<F&, T,std::iter_reference_t<I>>>>;
      (3B)(exposition only*)
      4) Equivalent to:
      Helper concepts
      template<class F,class T,class I>

      concept/*indirectly-binary-right-foldable*/=

         /*indirectly-binary-left-foldable*/</*flipped*/<F>, T, I>;
      (4A)(exposition only*)
      Helper class templates
      template<class F>

      class/*flipped*/
      {
          F f;    // exposition only
      public:
         template<class T,class U>
              requiresstd::invocable<F&, U, T>
         std::invoke_result_t<F&, U, T> operator()( T&&, U&&);

      };
      (4B)(exposition only*)

      The function-like entities described on this page arealgorithm function objects (informally known asniebloids), that is:

      Contents

      [edit]Parameters

      first, last - the iterator-sentinel pair defining therange of elements to fold
      r - the range of elements to fold
      init - the initial value of the fold
      f - the binary function object

      [edit]Return value

      An object of typeU that contains the result of right-fold of the given range overf, whereU is equivalent tostd::decay_t<std::invoke_result_t<F&,std::iter_reference_t<I>, T>>;.

      If the range is empty,U(std::move(init)) is returned.

      [edit]Possible implementations

      struct fold_right_fn{template<std::bidirectional_iterator I,std::sentinel_for<I> S,class T=std::iter_value_t<I>,/* indirectly-binary-right-foldable */<T, I> F>constexprauto operator()(I first, S last, T init, F f)const{using U=std::decay_t<std::invoke_result_t<F&,std::iter_reference_t<I>, T>>;if(first== last)return U(std::move(init));        I tail=ranges::next(first, last);        U accum=std::invoke(f,*--tail, std::move(init));while(first!= tail)            accum=std::invoke(f,*--tail, std::move(accum));return accum;} template<ranges::bidirectional_range R,class T=ranges::range_value_t<R>,/* indirectly-binary-right-foldable */<T,ranges::iterator_t<R>> F>constexprauto operator()(R&& r, T init, F f)const{return(*this)(ranges::begin(r),ranges::end(r), std::move(init),std::ref(f));}}; inlineconstexpr fold_right_fn fold_right;

      [edit]Complexity

      Exactlyranges::distance(first, last) applications of the function objectf.

      [edit]Notes

      The following table compares all constrained folding algorithms:

      Fold function templateStarts fromInitial valueReturn type
      ranges::fold_leftleftinitU
      ranges::fold_left_firstleftfirst elementstd::optional<U>
      ranges::fold_rightrightinitU
      ranges::fold_right_lastrightlast elementstd::optional<U>
      ranges::fold_left_with_iterleftinit

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

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

      whereBR isranges::borrowed_iterator_t<R>

      ranges::fold_left_first_with_iterleftfirst element

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

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

      whereBR isranges::borrowed_iterator_t<R>

      Feature-test macroValueStdFeature
      __cpp_lib_ranges_fold202207L(C++23)std::rangesfold algorithms
      __cpp_lib_algorithm_default_value_type202403L(C++26)List-initialization for algorithms(1,2)

      [edit]Example

      Run this code
      #include <algorithm>#include <complex>#include <functional>#include <iostream>#include <ranges>#include <string>#include <utility>#include <vector> usingnamespace std::literals;namespace ranges= std::ranges; int main(){auto v={1,2,3,4,5,6,7,8};std::vector<std::string> vs{"A","B","C","D"}; auto r1= ranges::fold_right(v.begin(), v.end(),6,std::plus<>());// (1)std::cout<<"r1: "<< r1<<'\n'; auto r2= ranges::fold_right(vs,"!"s,std::plus<>());// (2)std::cout<<"r2: "<< r2<<'\n'; // Use a program defined function object (lambda-expression):std::string r3= ranges::fold_right(        v,"A",[](int x,std::string s){return s+':'+std::to_string(x);});std::cout<<"r3: "<< r3<<'\n'; // Get the product of the std::pair::second of all pairs in the vector:std::vector<std::pair<char,float>> data{{'A',2.f},{'B',3.f},{'C',3.5f}};float r4= ranges::fold_right(        data| ranges::views::values,2.0f,std::multiplies<>());std::cout<<"r4: "<< r4<<'\n'; using CD=std::complex<double>;std::vector<CD> nums{{1,1},{2,0},{3,0}};#ifdef __cpp_lib_algorithm_default_value_typeauto r5= ranges::fold_right(nums,{7,0},std::multiplies{});#elseauto r5= ranges::fold_right(nums, CD{7,0},std::multiplies{});#endifstd::cout<<"r5: "<< r5<<'\n';}

      Output:

      r1: 42r2: ABCD!r3: A:8:7:6:5:4:3:2:1r4: 42r5: (42,42)

      [edit]References

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

      [edit]See also

      right-folds a range of elements using the last element as an initial value
      (algorithm function object)[edit]
      left-folds a range of elements
      (algorithm function object)[edit]
      left-folds a range of elements using the first element as an initial value
      (algorithm function object)[edit]
      left-folds a range of elements, and returns apair (iterator, value)
      (algorithm function object)[edit]
      left-folds a range of elements using the first element as an initial value, and returns apair (iterator,optional)
      (algorithm function object)[edit]
      sums up or folds a range of elements
      (function template)[edit]
      (C++17)
      similar tostd::accumulate, except out of order
      (function template)[edit]
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/algorithm/ranges/fold_right&oldid=181116"

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