2010-05-12 03:42:16 +08:00
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// -*- C++ -*-
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//===---------------------------- numeric ---------------------------------===//
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//
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2010-05-12 05:36:01 +08:00
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// The LLVM Compiler Infrastructure
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2010-05-12 03:42:16 +08:00
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//
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2010-11-17 06:09:02 +08:00
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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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2010-05-12 03:42:16 +08:00
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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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2010-05-27 02:53:44 +08:00
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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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2016-07-26 22:29:45 +08:00
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template <class M, class N>
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constexpr common_type_t<M,N> gcd(M m, N n); // C++17
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template <class M, class N>
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constexpr common_type_t<M,N> lcm(M m, N n); // C++17
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2010-05-12 03:42:16 +08:00
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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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2017-02-08 08:14:13 +08:00
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#include <limits> // for numeric_limits
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2010-05-12 03:42:16 +08:00
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2011-10-18 04:05:10 +08:00
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#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
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2010-05-12 03:42:16 +08:00
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#pragma GCC system_header
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2011-10-18 04:05:10 +08:00
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#endif
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2010-05-12 03:42:16 +08:00
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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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2014-10-28 03:28:20 +08:00
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for (; __first1 != __last1; ++__first1, (void) ++__first2)
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2010-05-12 03:42:16 +08:00
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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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2014-10-28 03:28:20 +08:00
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for (; __first1 != __last1; ++__first1, (void) ++__first2)
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2010-05-12 03:42:16 +08:00
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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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2014-10-28 03:28:20 +08:00
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for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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2010-05-12 03:42:16 +08:00
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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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2014-10-28 03:28:20 +08:00
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for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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2010-05-12 03:42:16 +08:00
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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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2014-10-28 03:28:20 +08:00
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for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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2010-05-12 03:42:16 +08:00
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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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2013-08-23 02:02:34 +08:00
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__t1 = _VSTD::move(__t2);
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2010-05-12 03:42:16 +08:00
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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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2014-10-28 03:28:20 +08:00
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for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result)
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2010-05-12 03:42:16 +08:00
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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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2013-08-23 02:02:34 +08:00
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__t1 = _VSTD::move(__t2);
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2010-05-12 03:42:16 +08:00
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}
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}
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return __result;
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}
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2010-05-27 02:53:44 +08:00
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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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2011-10-23 04:59:45 +08:00
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iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value_)
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2010-05-27 02:53:44 +08:00
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{
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2014-10-28 03:28:20 +08:00
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for (; __first != __last; ++__first, (void) ++__value_)
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2011-10-23 04:59:45 +08:00
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*__first = __value_;
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2010-05-27 02:53:44 +08:00
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}
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2016-07-26 22:29:45 +08:00
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#if _LIBCPP_STD_VER > 14
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2017-02-11 04:49:08 +08:00
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template <typename _Result, typename _Source, bool _IsSigned = is_signed<_Source>::value> struct __abs;
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2016-07-26 22:29:45 +08:00
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2017-02-11 04:49:08 +08:00
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template <typename _Result, typename _Source>
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struct __abs<_Result, _Source, true> {
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2016-07-26 22:29:45 +08:00
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_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
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2017-02-11 04:49:08 +08:00
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_Result operator()(_Source __t) const noexcept
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{
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if (__t >= 0) return __t;
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if (__t == numeric_limits<_Source>::min()) return -static_cast<_Result>(__t);
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return -__t;
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}
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2016-07-26 22:29:45 +08:00
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};
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2017-02-11 04:49:08 +08:00
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template <typename _Result, typename _Source>
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struct __abs<_Result, _Source, false> {
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2016-07-26 22:29:45 +08:00
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_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
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2017-02-11 04:49:08 +08:00
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_Result operator()(_Source __t) const noexcept { return __t; }
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2016-07-26 22:29:45 +08:00
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};
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template<class _Tp>
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_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
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_Tp __gcd(_Tp __m, _Tp __n)
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{
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2017-02-11 04:49:08 +08:00
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static_assert((!is_signed<_Tp>::value), "");
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2016-07-26 22:29:45 +08:00
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return __n == 0 ? __m : __gcd<_Tp>(__n, __m % __n);
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}
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template<class _Tp, class _Up>
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_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
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common_type_t<_Tp,_Up>
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gcd(_Tp __m, _Up __n)
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{
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static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to gcd must be integer types");
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2016-11-15 02:22:19 +08:00
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static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to gcd cannot be bool" );
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static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to gcd cannot be bool" );
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2016-07-26 22:29:45 +08:00
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using _Rp = common_type_t<_Tp,_Up>;
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using _Wp = make_unsigned_t<_Rp>;
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2017-02-11 04:49:08 +08:00
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return static_cast<_Rp>(__gcd(static_cast<_Wp>(__abs<_Rp, _Tp>()(__m)),
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static_cast<_Wp>(__abs<_Rp, _Up>()(__n))));
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2016-07-26 22:29:45 +08:00
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}
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template<class _Tp, class _Up>
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_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
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common_type_t<_Tp,_Up>
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lcm(_Tp __m, _Up __n)
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{
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static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to lcm must be integer types");
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2016-11-15 02:22:19 +08:00
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static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to lcm cannot be bool" );
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static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to lcm cannot be bool" );
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2016-07-26 22:29:45 +08:00
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if (__m == 0 || __n == 0)
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return 0;
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using _Rp = common_type_t<_Tp,_Up>;
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2017-02-11 04:49:08 +08:00
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_Rp __val1 = __abs<_Rp, _Tp>()(__m) / gcd(__m, __n);
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_Rp __val2 = __abs<_Rp, _Up>()(__n);
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2016-07-26 22:29:45 +08:00
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_LIBCPP_ASSERT((numeric_limits<_Rp>::max() / __val1 > __val2), "Overflow in lcm");
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return __val1 * __val2;
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}
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#endif /* _LIBCPP_STD_VER > 14 */
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2010-05-12 03:42:16 +08:00
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_LIBCPP_END_NAMESPACE_STD
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#endif // _LIBCPP_NUMERIC
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