# Standard library header <numeric>

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This header is part of the numeric library.

### Functions

iota (C++11) | fills a range with successive increments of the starting value (function template)
accumulate | sums up a range of elements (function template)
reduce (C++17) | similar to std::accumulate, except out of order (function template)
transform_reduce (C++17) | applies a functor, then reduces out of order (function template)
inner_product | computes the inner product of two ranges of elements (function template)
adjacent_difference | computes the differences between adjacent elements in a range (function template)
partial_sum | computes the partial sum of a range of elements (function template)
inclusive_scan (C++17) | similar to std::partial_sum, includes the ith input element in the ith sum (function template)
exclusive_scan (C++17) | similar to std::partial_sum, excludes the ith input element from the ith sum (function template)
transform_inclusive_scan (C++17) | applies a functor, then calculates inclusive scan (function template)
transform_exclusive_scan (C++17) | applies a functor, then calculates exclusive scan (function template)
gcd (C++17) | `constexpr` function template returning the greatest common divisor of two integers (function template)
lcm (C++17) | `constexpr` function template returning the least common multiple of two integers (function template)

### Synopsis

    namespace std {
        template <class InputIterator, class T>
            T accumulate(InputIterator first, InputIterator last, T init);
        template <class InputIterator, class T, class BinaryOperation>
            T accumulate(InputIterator first, InputIterator last, T init,
                BinaryOperation binary_op);

        template <class InputIterator1, class InputIterator2, class T>
            T inner_product(InputIterator1 first1, InputIterator1 last1,
                InputIterator2 first2, T init);
        template <class InputIterator1, class InputIterator2, class T,
                class BinaryOperation1, class BinaryOperation2>
            T inner_product(InputIterator1 first1, InputIterator1 last1,
                InputIterator2 first2, T init,
                BinaryOperation1 binary_op1,
                BinaryOperation2 binary_op2);

        template <class InputIterator, class OutputIterator>
            OutputIterator partial_sum(InputIterator first,
                InputIterator last,
                OutputIterator result);
        template <class InputIterator, class OutputIterator,
                class BinaryOperation>
            OutputIterator partial_sum(InputIterator first,
                InputIterator last,
                OutputIterator result,
                BinaryOperation binary_op);
        template <class InputIterator, class OutputIterator>
            OutputIterator adjacent_difference(InputIterator first,
                InputIterator last,
                OutputIterator result);
        template <class InputIterator, class OutputIterator,
                class BinaryOperation>
            OutputIterator adjacent_difference(InputIterator first,
                InputIterator last,
                OutputIterator result,
                BinaryOperation binary_op);

        template <class ForwardIterator, class T>
            void iota(ForwardIterator first, ForwardIterator last, T value);
    }

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