[transform.inclusive.scan]

🔗

template<class InputIterator, class OutputIterator,
         class BinaryOperation, class UnaryOperation>
  OutputIterator transform_inclusive_scan(InputIterator first, InputIterator last,
                                          OutputIterator result,
                                          BinaryOperation binary_op,
                                          UnaryOperation unary_op);
template<class ExecutionPolicy,
         class ForwardIterator1, class ForwardIterator2,
         class BinaryOperation, class UnaryOperation>
  ForwardIterator2 transform_inclusive_scan(ExecutionPolicy&& exec,
                                            ForwardIterator1 first, ForwardIterator1 last,
                                            ForwardIterator2 result,
                                            BinaryOperation binary_op,
                                            UnaryOperation unary_op);
template<class InputIterator, class OutputIterator,
         class BinaryOperation, class UnaryOperation, class T>
  OutputIterator transform_inclusive_scan(InputIterator first, InputIterator last,
                                          OutputIterator result,
                                          BinaryOperation binary_op,
                                          UnaryOperation unary_op,
                                          T init);
template<class ExecutionPolicy,
         class ForwardIterator1, class ForwardIterator2,
         class BinaryOperation, class UnaryOperation, class T>
  ForwardIterator2 transform_inclusive_scan(ExecutionPolicy&& exec,
                                            ForwardIterator1 first, ForwardIterator1 last,
                                            ForwardIterator2 result,
                                            BinaryOperation binary_op,
                                            UnaryOperation unary_op,
                                            T init);

Requires:

(1.1)
If init is provided, T shall be MoveConstructible (Table 23); otherwise, ForwardIterator1's value type shall be MoveConstructible.
(1.2)
If init is provided, all of
- (1.2.1)
  binary_op(init, init),
- (1.2.2)
  binary_op(init, unary_op(*first)), and
- (1.2.3)
  binary_op(unary_op(*first), unary_op(*first))
shall be convertible to T; otherwise, binary_op(unary_op(*first), unary_op(*first)) shall be convertible to ForwardIterator1's value type.
(1.3)
Neither unary_op nor binary_op shall invalidate iterators or subranges, nor modify elements in the ranges [first, last] or [result, result + (last - first)].

Effects: For each integer K in [0, last - first) assigns through result + K the value of

(2.1)
GENERALIZED_NONCOMMUTATIVE_SUM(
binary_op, init,
unary_op(*(first + 0)), unary_op(*(first + 1)), ..., unary_op(*(first + K)))
if init is provided, or
(2.2)
GENERALIZED_NONCOMMUTATIVE_SUM(
binary_op,
unary_op(*(first + 0)), unary_op(*(first + 1)), ..., unary_op(*(first + K)))
otherwise.

[ Note

The difference between transform_exclusive_scan and transform_inclusive_scan is that transform_inclusive_scan includes the

i^{th}

input element in the

i^{th}

sum.

If binary_op is not mathematically associative, the behavior of transform_inclusive_scan may be nondeterministic.

transform_inclusive_scan does not apply unary_op to init.

— end note

]

29 Numerics library [numerics]

29.8 Generalized numeric operations [numeric.ops]

29.8.10 Transform inclusive scan [transform.inclusive.scan]