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			388 lines
		
	
	
		
			14 KiB
		
	
	
	
		
			C++
		
	
	
	
			
		
		
	
	
			388 lines
		
	
	
		
			14 KiB
		
	
	
	
		
			C++
		
	
	
	
| // Numeric functions implementation -*- C++ -*-
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| 
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| // Copyright (C) 2001-2017 Free Software Foundation, Inc.
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| //
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| // This file is part of the GNU ISO C++ Library.  This library is free
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| // software; you can redistribute it and/or modify it under the
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| // terms of the GNU General Public License as published by the
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| // Free Software Foundation; either version 3, or (at your option)
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| // any later version.
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| 
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| // This library is distributed in the hope that it will be useful,
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| // but WITHOUT ANY WARRANTY; without even the implied warranty of
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| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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| // GNU General Public License for more details.
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| 
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| // Under Section 7 of GPL version 3, you are granted additional
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| // permissions described in the GCC Runtime Library Exception, version
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| // 3.1, as published by the Free Software Foundation.
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| 
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| // You should have received a copy of the GNU General Public License and
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| // a copy of the GCC Runtime Library Exception along with this program;
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| // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
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| // <http://www.gnu.org/licenses/>.
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| 
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| /*
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|  *
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|  * Copyright (c) 1994
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|  * Hewlett-Packard Company
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|  *
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|  * Permission to use, copy, modify, distribute and sell this software
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|  * and its documentation for any purpose is hereby granted without fee,
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|  * provided that the above copyright notice appear in all copies and
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|  * that both that copyright notice and this permission notice appear
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|  * in supporting documentation.  Hewlett-Packard Company makes no
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|  * representations about the suitability of this software for any
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|  * purpose.  It is provided "as is" without express or implied warranty.
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|  *
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|  *
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|  * Copyright (c) 1996,1997
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|  * Silicon Graphics Computer Systems, Inc.
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|  *
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|  * Permission to use, copy, modify, distribute and sell this software
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|  * and its documentation for any purpose is hereby granted without fee,
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|  * provided that the above copyright notice appear in all copies and
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|  * that both that copyright notice and this permission notice appear
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|  * in supporting documentation.  Silicon Graphics makes no
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|  * representations about the suitability of this software for any
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|  * purpose.  It is provided "as is" without express or implied warranty.
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|  */
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| 
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| /** @file bits/stl_numeric.h
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|  *  This is an internal header file, included by other library headers.
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|  *  Do not attempt to use it directly. @headername{numeric}
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|  */
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| 
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| #ifndef _STL_NUMERIC_H
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| #define _STL_NUMERIC_H 1
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| 
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| #include <bits/concept_check.h>
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| #include <debug/debug.h>
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| #include <bits/move.h> // For _GLIBCXX_MOVE
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| 
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| #if __cplusplus >= 201103L
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| 
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| namespace std _GLIBCXX_VISIBILITY(default)
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| {
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| _GLIBCXX_BEGIN_NAMESPACE_VERSION
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| 
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|   /**
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|    *  @brief  Create a range of sequentially increasing values.
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|    *
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|    *  For each element in the range @p [first,last) assigns @p value and
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|    *  increments @p value as if by @p ++value.
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|    *
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|    *  @param  __first  Start of range.
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|    *  @param  __last  End of range.
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|    *  @param  __value  Starting value.
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|    *  @return  Nothing.
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|    */
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|   template<typename _ForwardIterator, typename _Tp>
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|     void
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|     iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value)
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|     {
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|       // concept requirements
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|       __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<
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| 				  _ForwardIterator>)
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|       __glibcxx_function_requires(_ConvertibleConcept<_Tp,
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| 	    typename iterator_traits<_ForwardIterator>::value_type>)
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|       __glibcxx_requires_valid_range(__first, __last);
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| 
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|       for (; __first != __last; ++__first)
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| 	{
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| 	  *__first = __value;
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| 	  ++__value;
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| 	}
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|     }
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| 
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| _GLIBCXX_END_NAMESPACE_VERSION
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| } // namespace std
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| 
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| #endif
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| 
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| namespace std _GLIBCXX_VISIBILITY(default)
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| {
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| _GLIBCXX_BEGIN_NAMESPACE_ALGO
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| 
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|   /**
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|    *  @brief  Accumulate values in a range.
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|    *
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|    *  Accumulates the values in the range [first,last) using operator+().  The
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|    *  initial value is @a init.  The values are processed in order.
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|    *
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|    *  @param  __first  Start of range.
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|    *  @param  __last  End of range.
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|    *  @param  __init  Starting value to add other values to.
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|    *  @return  The final sum.
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|    */
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|   template<typename _InputIterator, typename _Tp>
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|     inline _Tp
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|     accumulate(_InputIterator __first, _InputIterator __last, _Tp __init)
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|     {
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
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|       __glibcxx_requires_valid_range(__first, __last);
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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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| 
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|   /**
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|    *  @brief  Accumulate values in a range with operation.
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|    *
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|    *  Accumulates the values in the range [first,last) using the function
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|    *  object @p __binary_op.  The initial value is @p __init.  The values are
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|    *  processed in order.
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|    *
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|    *  @param  __first  Start of range.
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|    *  @param  __last  End of range.
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|    *  @param  __init  Starting value to add other values to.
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|    *  @param  __binary_op  Function object to accumulate with.
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|    *  @return  The final sum.
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|    */
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|   template<typename _InputIterator, typename _Tp, typename _BinaryOperation>
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|     inline _Tp
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|     accumulate(_InputIterator __first, _InputIterator __last, _Tp __init,
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| 	       _BinaryOperation __binary_op)
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|     {
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
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|       __glibcxx_requires_valid_range(__first, __last);
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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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| 
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|   /**
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|    *  @brief  Compute inner product of two ranges.
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|    *
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|    *  Starting with an initial value of @p __init, multiplies successive
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|    *  elements from the two ranges and adds each product into the accumulated
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|    *  value using operator+().  The values in the ranges are processed in
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|    *  order.
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|    *
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|    *  @param  __first1  Start of range 1.
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|    *  @param  __last1  End of range 1.
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|    *  @param  __first2  Start of range 2.
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|    *  @param  __init  Starting value to add other values to.
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|    *  @return  The final inner product.
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|    */
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|   template<typename _InputIterator1, typename _InputIterator2, typename _Tp>
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|     inline _Tp
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|     inner_product(_InputIterator1 __first1, _InputIterator1 __last1,
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| 		  _InputIterator2 __first2, _Tp __init)
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|     {
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
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|       __glibcxx_requires_valid_range(__first1, __last1);
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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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| 
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|   /**
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|    *  @brief  Compute inner product of two ranges.
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|    *
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|    *  Starting with an initial value of @p __init, applies @p __binary_op2 to
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|    *  successive elements from the two ranges and accumulates each result into
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|    *  the accumulated value using @p __binary_op1.  The values in the ranges are
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|    *  processed in order.
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|    *
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|    *  @param  __first1  Start of range 1.
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|    *  @param  __last1  End of range 1.
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|    *  @param  __first2  Start of range 2.
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|    *  @param  __init  Starting value to add other values to.
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|    *  @param  __binary_op1  Function object to accumulate with.
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|    *  @param  __binary_op2  Function object to apply to pairs of input values.
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|    *  @return  The final inner product.
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|    */
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|   template<typename _InputIterator1, typename _InputIterator2, typename _Tp,
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| 	   typename _BinaryOperation1, typename _BinaryOperation2>
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|     inline _Tp
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|     inner_product(_InputIterator1 __first1, _InputIterator1 __last1,
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| 		  _InputIterator2 __first2, _Tp __init,
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| 		  _BinaryOperation1 __binary_op1,
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| 		  _BinaryOperation2 __binary_op2)
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|     {
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
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|       __glibcxx_requires_valid_range(__first1, __last1);
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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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| 
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|   /**
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|    *  @brief  Return list of partial sums
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|    *
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|    *  Accumulates the values in the range [first,last) using the @c + operator.
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|    *  As each successive input value is added into the total, that partial sum
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|    *  is written to @p __result.  Therefore, the first value in @p __result is
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|    *  the first value of the input, the second value in @p __result is the sum
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|    *  of the first and second input values, and so on.
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|    *
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|    *  @param  __first  Start of input range.
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|    *  @param  __last  End of input range.
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|    *  @param  __result  Output sum.
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|    *  @return  Iterator pointing just beyond the values written to __result.
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|    */
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|   template<typename _InputIterator, typename _OutputIterator>
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|     _OutputIterator
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|     partial_sum(_InputIterator __first, _InputIterator __last,
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| 		_OutputIterator __result)
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|     {
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|       typedef typename iterator_traits<_InputIterator>::value_type _ValueType;
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| 
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
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|       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
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| 				                         _ValueType>)
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|       __glibcxx_requires_valid_range(__first, __last);
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| 
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|       if (__first == __last)
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| 	return __result;
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|       _ValueType __value = *__first;
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|       *__result = __value;
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|       while (++__first != __last)
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| 	{
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| 	  __value = __value + *__first;
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| 	  *++__result = __value;
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| 	}
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|       return ++__result;
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|     }
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| 
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|   /**
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|    *  @brief  Return list of partial sums
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|    *
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|    *  Accumulates the values in the range [first,last) using @p __binary_op.
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|    *  As each successive input value is added into the total, that partial sum
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|    *  is written to @p __result.  Therefore, the first value in @p __result is
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|    *  the first value of the input, the second value in @p __result is the sum
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|    *  of the first and second input values, and so on.
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|    *
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|    *  @param  __first  Start of input range.
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|    *  @param  __last  End of input range.
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|    *  @param  __result  Output sum.
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|    *  @param  __binary_op  Function object.
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|    *  @return  Iterator pointing just beyond the values written to __result.
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|    */
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|   template<typename _InputIterator, typename _OutputIterator,
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| 	   typename _BinaryOperation>
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|     _OutputIterator
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|     partial_sum(_InputIterator __first, _InputIterator __last,
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| 		_OutputIterator __result, _BinaryOperation __binary_op)
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|     {
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|       typedef typename iterator_traits<_InputIterator>::value_type _ValueType;
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| 
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
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|       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
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| 				                         _ValueType>)
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|       __glibcxx_requires_valid_range(__first, __last);
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| 
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|       if (__first == __last)
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| 	return __result;
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|       _ValueType __value = *__first;
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|       *__result = __value;
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|       while (++__first != __last)
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| 	{
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| 	  __value = __binary_op(__value, *__first);
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| 	  *++__result = __value;
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| 	}
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|       return ++__result;
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|     }
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| 
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|   /**
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|    *  @brief  Return differences between adjacent values.
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|    *
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|    *  Computes the difference between adjacent values in the range
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|    *  [first,last) using operator-() and writes the result to @p __result.
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|    *
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|    *  @param  __first  Start of input range.
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|    *  @param  __last  End of input range.
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|    *  @param  __result  Output sums.
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|    *  @return  Iterator pointing just beyond the values written to result.
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|    *
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|    *  _GLIBCXX_RESOLVE_LIB_DEFECTS
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|    *  DR 539. partial_sum and adjacent_difference should mention requirements
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|    */
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|   template<typename _InputIterator, typename _OutputIterator>
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|     _OutputIterator
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|     adjacent_difference(_InputIterator __first,
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| 			_InputIterator __last, _OutputIterator __result)
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|     {
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|       typedef typename iterator_traits<_InputIterator>::value_type _ValueType;
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| 
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
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|       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
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| 				                         _ValueType>)
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|       __glibcxx_requires_valid_range(__first, __last);
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| 
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|       if (__first == __last)
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| 	return __result;
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|       _ValueType __value = *__first;
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|       *__result = __value;
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|       while (++__first != __last)
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| 	{
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| 	  _ValueType __tmp = *__first;
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| 	  *++__result = __tmp - __value;
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| 	  __value = _GLIBCXX_MOVE(__tmp);
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| 	}
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|       return ++__result;
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|     }
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| 
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|   /**
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|    *  @brief  Return differences between adjacent values.
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|    *
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|    *  Computes the difference between adjacent values in the range
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|    *  [__first,__last) using the function object @p __binary_op and writes the
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|    *  result to @p __result.
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|    *
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|    *  @param  __first  Start of input range.
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|    *  @param  __last  End of input range.
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|    *  @param  __result  Output sum.
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|    *  @param  __binary_op Function object.
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|    *  @return  Iterator pointing just beyond the values written to result.
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|    *
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|    *  _GLIBCXX_RESOLVE_LIB_DEFECTS
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|    *  DR 539. partial_sum and adjacent_difference should mention requirements
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|    */
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|   template<typename _InputIterator, typename _OutputIterator,
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| 	   typename _BinaryOperation>
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|     _OutputIterator
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|     adjacent_difference(_InputIterator __first, _InputIterator __last,
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| 			_OutputIterator __result, _BinaryOperation __binary_op)
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|     {
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|       typedef typename iterator_traits<_InputIterator>::value_type _ValueType;
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| 
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|       // concept requirements
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|       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
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|       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
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| 				                         _ValueType>)
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|       __glibcxx_requires_valid_range(__first, __last);
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| 
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|       if (__first == __last)
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| 	return __result;
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|       _ValueType __value = *__first;
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|       *__result = __value;
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|       while (++__first != __last)
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| 	{
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| 	  _ValueType __tmp = *__first;
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| 	  *++__result = __binary_op(__tmp, __value);
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| 	  __value = _GLIBCXX_MOVE(__tmp);
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| 	}
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|       return ++__result;
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|     }
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| 
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| _GLIBCXX_END_NAMESPACE_ALGO
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| } // namespace std
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| 
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| #endif /* _STL_NUMERIC_H */
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