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[transform.inclusive.scan]

26 Algorithms library [algorithms]

26.10 Generalized numeric operations [numeric.ops]

26.10.11 Transform inclusive scan [transform.inclusive.scan]

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template<class InputIterator, class OutputIterator, class BinaryOperation, class UnaryOperation> constexpr 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> constexpr 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);

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Let U be the value type of decltype(first).

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Mandates: If init is provided, all of

binary_op(init, init),

binary_op(init, unary_op(*first)), and

binary_op(unary_op(*first), unary_op(*first))

are convertible to T; otherwise, binary_op(unary_op(*first), unary_op(*first)) is convertible to U.

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Preconditions:

  • (3.1)

    If init is provided, T meets the Cpp17MoveConstructible (Table 31) requirements; otherwise, U meets the Cpp17MoveConstructible requirements.

  • (3.2)

    Neither unary_op nor binary_op invalidates iterators or subranges, nor modifies elements in the ranges [first, last] or [result, result + (last - first)].

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

  • (4.1)

    GENERALIZED_NONCOMMUTATIVE_SUM(
    binary_op, init,
    unary_op((first + 0)), unary_op((first + 1)), …, unary_op(*(first + K)))
    if init is provided, or

  • (4.2)

    GENERALIZED_NONCOMMUTATIVE_SUM(
    binary_op,
    unary_op((first + 0)), unary_op((first + 1)), …, unary_op(*(first + K)))
    otherwise.

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Returns: The end of the resulting range beginning at result.

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Complexity: O(last - first) applications each of unary_op and binary_op.

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Remarks: result may be equal to first.

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[Note 1:

The difference between transform_exclusive_scan andtransform_inclusive_scan is that transform_inclusive_scan includes the ith input element in the ith sum.

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

transform_inclusive_scan does not apply unary_op to init.

— end note]