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// -*- C++ -*-
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//===---------------------------- numeric ---------------------------------===//
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//
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//                     The LLVM Compiler Infrastructure
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//
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// This file is dual licensed under the MIT and the University of Illinois Open
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// Source Licenses. See LICENSE.TXT for details.
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//
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//===----------------------------------------------------------------------===//
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#ifndef _LIBCPP_NUMERIC
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#define _LIBCPP_NUMERIC
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/*
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    numeric synopsis
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namespace std
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{
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template <class InputIterator, class T>
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    T
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    accumulate(InputIterator first, InputIterator last, T init);
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template <class InputIterator, class T, class BinaryOperation>
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    T
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    accumulate(InputIterator first, InputIterator last, T init, BinaryOperation binary_op);
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template <class InputIterator1, class InputIterator2, class T>
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    T
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    inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init);
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template <class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2>
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    T
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    inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2,
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                  T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2);
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template <class InputIterator, class OutputIterator>
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    OutputIterator
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    partial_sum(InputIterator first, InputIterator last, OutputIterator result);
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template <class InputIterator, class OutputIterator, class BinaryOperation>
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    OutputIterator
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    partial_sum(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);
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template <class InputIterator, class OutputIterator>
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    OutputIterator
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    adjacent_difference(InputIterator first, InputIterator last, OutputIterator result);
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template <class InputIterator, class OutputIterator, class BinaryOperation>
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    OutputIterator
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    adjacent_difference(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);
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template <class ForwardIterator, class T>
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    void iota(ForwardIterator first, ForwardIterator last, T value);
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}  // std
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*/
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#include <__config>
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#include <iterator>
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#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
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#pragma GCC system_header
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#endif
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_LIBCPP_BEGIN_NAMESPACE_STD
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template <class _InputIterator, class _Tp>
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inline _LIBCPP_INLINE_VISIBILITY
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_Tp
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accumulate(_InputIterator __first, _InputIterator __last, _Tp __init)
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{
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    for (; __first != __last; ++__first)
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        __init = __init + *__first;
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    return __init;
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}
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template <class _InputIterator, class _Tp, class _BinaryOperation>
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inline _LIBCPP_INLINE_VISIBILITY
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_Tp
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accumulate(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOperation __binary_op)
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{
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    for (; __first != __last; ++__first)
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        __init = __binary_op(__init, *__first);
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    return __init;
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}
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template <class _InputIterator1, class _InputIterator2, class _Tp>
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inline _LIBCPP_INLINE_VISIBILITY
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_Tp
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inner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init)
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{
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    for (; __first1 != __last1; ++__first1, (void) ++__first2)
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        __init = __init + *__first1 * *__first2;
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    return __init;
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}
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template <class _InputIterator1, class _InputIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2>
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inline _LIBCPP_INLINE_VISIBILITY
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_Tp
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inner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2,
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              _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2)
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{
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    for (; __first1 != __last1; ++__first1, (void) ++__first2)
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        __init = __binary_op1(__init, __binary_op2(*__first1, *__first2));
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    return __init;
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}
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template <class _InputIterator, class _OutputIterator>
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inline _LIBCPP_INLINE_VISIBILITY
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_OutputIterator
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partial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
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{
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    if (__first != __last)
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    {
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        typename iterator_traits<_InputIterator>::value_type __t(*__first);
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        *__result = __t;
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        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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        {
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            __t = __t + *__first;
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            *__result = __t;
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        }
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    }
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    return __result;
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}
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template <class _InputIterator, class _OutputIterator, class _BinaryOperation>
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inline _LIBCPP_INLINE_VISIBILITY
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_OutputIterator
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partial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result,
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              _BinaryOperation __binary_op)
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{
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    if (__first != __last)
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    {
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        typename iterator_traits<_InputIterator>::value_type __t(*__first);
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        *__result = __t;
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        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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        {
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            __t = __binary_op(__t, *__first);
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            *__result = __t;
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        }
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    }
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    return __result;
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}
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template <class _InputIterator, class _OutputIterator>
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inline _LIBCPP_INLINE_VISIBILITY
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_OutputIterator
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adjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
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{
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    if (__first != __last)
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    {
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        typename iterator_traits<_InputIterator>::value_type __t1(*__first);
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        *__result = __t1;
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        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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        {
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            typename iterator_traits<_InputIterator>::value_type __t2(*__first);
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            *__result = __t2 - __t1;
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            __t1 = _VSTD::move(__t2);
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        }
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    }
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    return __result;
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}
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template <class _InputIterator, class _OutputIterator, class _BinaryOperation>
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inline _LIBCPP_INLINE_VISIBILITY
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_OutputIterator
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adjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result,
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                      _BinaryOperation __binary_op)
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{
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    if (__first != __last)
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    {
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        typename iterator_traits<_InputIterator>::value_type __t1(*__first);
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        *__result = __t1;
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        for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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        {
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            typename iterator_traits<_InputIterator>::value_type __t2(*__first);
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            *__result = __binary_op(__t2, __t1);
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            __t1 = _VSTD::move(__t2);
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        }
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    }
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    return __result;
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}
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template <class _ForwardIterator, class _Tp>
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inline _LIBCPP_INLINE_VISIBILITY
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void
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iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value_)
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{
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    for (; __first != __last; ++__first, (void) ++__value_)
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        *__first = __value_;
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}
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_LIBCPP_END_NAMESPACE_STD
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#endif  // _LIBCPP_NUMERIC