| 1 | // Numeric functions implementation -*- C++ -*- |
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| 2 | |
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| 3 | // Copyright (C) 2001, 2004 Free Software Foundation, Inc. |
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| 4 | // |
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| 5 | // This file is part of the GNU ISO C++ Library. This library is free |
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| 6 | // software; you can redistribute it and/or modify it under the |
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| 7 | // terms of the GNU General Public License as published by the |
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| 8 | // Free Software Foundation; either version 2, or (at your option) |
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| 9 | // any later version. |
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| 10 | |
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| 11 | // This library is distributed in the hope that it will be useful, |
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| 12 | // but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 13 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 14 | // GNU General Public License for more details. |
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| 15 | |
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| 16 | // You should have received a copy of the GNU General Public License along |
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| 17 | // with this library; see the file COPYING. If not, write to the Free |
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| 18 | // Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, |
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| 19 | // USA. |
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| 20 | |
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| 21 | // As a special exception, you may use this file as part of a free software |
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| 22 | // library without restriction. Specifically, if other files instantiate |
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| 23 | // templates or use macros or inline functions from this file, or you compile |
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| 24 | // this file and link it with other files to produce an executable, this |
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| 25 | // file does not by itself cause the resulting executable to be covered by |
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| 26 | // the GNU General Public License. This exception does not however |
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| 27 | // invalidate any other reasons why the executable file might be covered by |
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| 28 | // the GNU General Public License. |
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| 29 | |
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| 30 | /* |
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| 31 | * |
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| 32 | * Copyright (c) 1994 |
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| 33 | * Hewlett-Packard Company |
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| 34 | * |
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| 35 | * Permission to use, copy, modify, distribute and sell this software |
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| 36 | * and its documentation for any purpose is hereby granted without fee, |
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| 37 | * provided that the above copyright notice appear in all copies and |
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| 38 | * that both that copyright notice and this permission notice appear |
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| 39 | * in supporting documentation. Hewlett-Packard Company makes no |
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| 40 | * representations about the suitability of this software for any |
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| 41 | * purpose. It is provided "as is" without express or implied warranty. |
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| 42 | * |
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| 43 | * |
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| 44 | * Copyright (c) 1996,1997 |
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| 45 | * Silicon Graphics Computer Systems, Inc. |
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| 46 | * |
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| 47 | * Permission to use, copy, modify, distribute and sell this software |
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| 48 | * and its documentation for any purpose is hereby granted without fee, |
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| 49 | * provided that the above copyright notice appear in all copies and |
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| 50 | * that both that copyright notice and this permission notice appear |
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| 51 | * in supporting documentation. Silicon Graphics makes no |
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| 52 | * representations about the suitability of this software for any |
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| 53 | * purpose. It is provided "as is" without express or implied warranty. |
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| 54 | */ |
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| 55 | |
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| 56 | /** @file stl_numeric.h |
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| 57 | * This is an internal header file, included by other library headers. |
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| 58 | * You should not attempt to use it directly. |
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| 59 | */ |
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| 60 | |
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| 61 | #ifndef _STL_NUMERIC_H |
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| 62 | #define _STL_NUMERIC_H 1 |
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| 63 | |
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| 64 | #include <debug/debug.h> |
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| 65 | |
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| 66 | namespace std |
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| 67 | { |
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| 68 | |
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| 69 | /** |
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| 70 | * @brief Accumulate values in a range. |
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| 71 | * |
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| 72 | * Accumulates the values in the range [first,last) using operator+(). The |
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| 73 | * initial value is @a init. The values are processed in order. |
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| 74 | * |
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| 75 | * @param first Start of range. |
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| 76 | * @param last End of range. |
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| 77 | * @param init Starting value to add other values to. |
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| 78 | * @return The final sum. |
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| 79 | */ |
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| 80 | template<typename _InputIterator, typename _Tp> |
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| 81 | _Tp |
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| 82 | accumulate(_InputIterator __first, _InputIterator __last, _Tp __init) |
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| 83 | { |
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| 84 | // concept requirements |
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| 85 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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| 86 | __glibcxx_requires_valid_range(__first, __last); |
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| 87 | |
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| 88 | for ( ; __first != __last; ++__first) |
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| 89 | __init = __init + *__first; |
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| 90 | return __init; |
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| 91 | } |
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| 92 | |
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| 93 | /** |
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| 94 | * @brief Accumulate values in a range with operation. |
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| 95 | * |
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| 96 | * Accumulates the values in the range [first,last) using the function |
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| 97 | * object @a binary_op. The initial value is @a init. The values are |
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| 98 | * processed in order. |
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| 99 | * |
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| 100 | * @param first Start of range. |
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| 101 | * @param last End of range. |
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| 102 | * @param init Starting value to add other values to. |
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| 103 | * @param binary_op Function object to accumulate with. |
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| 104 | * @return The final sum. |
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| 105 | */ |
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| 106 | template<typename _InputIterator, typename _Tp, typename _BinaryOperation> |
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| 107 | _Tp |
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| 108 | accumulate(_InputIterator __first, _InputIterator __last, _Tp __init, |
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| 109 | _BinaryOperation __binary_op) |
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| 110 | { |
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| 111 | // concept requirements |
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| 112 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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| 113 | __glibcxx_requires_valid_range(__first, __last); |
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| 114 | |
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| 115 | for ( ; __first != __last; ++__first) |
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| 116 | __init = __binary_op(__init, *__first); |
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| 117 | return __init; |
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| 118 | } |
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| 119 | |
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| 120 | /** |
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| 121 | * @brief Compute inner product of two ranges. |
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| 122 | * |
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| 123 | * Starting with an initial value of @a init, multiplies successive |
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| 124 | * elements from the two ranges and adds each product into the accumulated |
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| 125 | * value using operator+(). The values in the ranges are processed in |
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| 126 | * order. |
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| 127 | * |
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| 128 | * @param first1 Start of range 1. |
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| 129 | * @param last1 End of range 1. |
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| 130 | * @param first2 Start of range 2. |
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| 131 | * @param init Starting value to add other values to. |
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| 132 | * @return The final inner product. |
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| 133 | */ |
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| 134 | template<typename _InputIterator1, typename _InputIterator2, typename _Tp> |
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| 135 | _Tp |
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| 136 | inner_product(_InputIterator1 __first1, _InputIterator1 __last1, |
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| 137 | _InputIterator2 __first2, _Tp __init) |
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| 138 | { |
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| 139 | // concept requirements |
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| 140 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) |
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| 141 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) |
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| 142 | __glibcxx_requires_valid_range(__first1, __last1); |
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| 143 | |
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| 144 | for ( ; __first1 != __last1; ++__first1, ++__first2) |
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| 145 | __init = __init + (*__first1 * *__first2); |
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| 146 | return __init; |
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| 147 | } |
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| 148 | |
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| 149 | /** |
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| 150 | * @brief Compute inner product of two ranges. |
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| 151 | * |
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| 152 | * Starting with an initial value of @a init, applies @a binary_op2 to |
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| 153 | * successive elements from the two ranges and accumulates each result into |
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| 154 | * the accumulated value using @a binary_op1. The values in the ranges are |
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| 155 | * processed in order. |
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| 156 | * |
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| 157 | * @param first1 Start of range 1. |
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| 158 | * @param last1 End of range 1. |
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| 159 | * @param first2 Start of range 2. |
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| 160 | * @param init Starting value to add other values to. |
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| 161 | * @param binary_op1 Function object to accumulate with. |
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| 162 | * @param binary_op2 Function object to apply to pairs of input values. |
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| 163 | * @return The final inner product. |
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| 164 | */ |
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| 165 | template<typename _InputIterator1, typename _InputIterator2, typename _Tp, |
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| 166 | typename _BinaryOperation1, typename _BinaryOperation2> |
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| 167 | _Tp |
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| 168 | inner_product(_InputIterator1 __first1, _InputIterator1 __last1, |
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| 169 | _InputIterator2 __first2, _Tp __init, |
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| 170 | _BinaryOperation1 __binary_op1, |
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| 171 | _BinaryOperation2 __binary_op2) |
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| 172 | { |
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| 173 | // concept requirements |
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| 174 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) |
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| 175 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) |
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| 176 | __glibcxx_requires_valid_range(__first1, __last1); |
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| 177 | |
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| 178 | for ( ; __first1 != __last1; ++__first1, ++__first2) |
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| 179 | __init = __binary_op1(__init, __binary_op2(*__first1, *__first2)); |
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| 180 | return __init; |
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| 181 | } |
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| 182 | |
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| 183 | /** |
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| 184 | * @brief Return list of partial sums |
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| 185 | * |
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| 186 | * Accumulates the values in the range [first,last) using operator+(). |
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| 187 | * As each successive input value is added into the total, that partial sum |
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| 188 | * is written to @a result. Therefore, the first value in result is the |
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| 189 | * first value of the input, the second value in result is the sum of the |
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| 190 | * first and second input values, and so on. |
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| 191 | * |
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| 192 | * @param first Start of input range. |
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| 193 | * @param last End of input range. |
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| 194 | * @param result Output to write sums to. |
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| 195 | * @return Iterator pointing just beyond the values written to result. |
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| 196 | */ |
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| 197 | template<typename _InputIterator, typename _OutputIterator> |
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| 198 | _OutputIterator |
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| 199 | partial_sum(_InputIterator __first, _InputIterator __last, |
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| 200 | _OutputIterator __result) |
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| 201 | { |
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| 202 | typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
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| 203 | |
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| 204 | // concept requirements |
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| 205 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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| 206 | __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, _ValueType>) |
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| 207 | __glibcxx_requires_valid_range(__first, __last); |
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| 208 | |
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| 209 | if (__first == __last) return __result; |
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| 210 | *__result = *__first; |
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| 211 | _ValueType __value = *__first; |
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| 212 | while (++__first != __last) { |
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| 213 | __value = __value + *__first; |
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| 214 | *++__result = __value; |
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| 215 | } |
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| 216 | return ++__result; |
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| 217 | } |
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| 218 | |
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| 219 | /** |
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| 220 | * @brief Return list of partial sums |
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| 221 | * |
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| 222 | * Accumulates the values in the range [first,last) using operator+(). |
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| 223 | * As each successive input value is added into the total, that partial sum |
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| 224 | * is written to @a result. Therefore, the first value in result is the |
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| 225 | * first value of the input, the second value in result is the sum of the |
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| 226 | * first and second input values, and so on. |
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| 227 | * |
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| 228 | * @param first Start of input range. |
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| 229 | * @param last End of input range. |
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| 230 | * @param result Output to write sums to. |
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| 231 | * @return Iterator pointing just beyond the values written to result. |
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| 232 | */ |
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| 233 | template<typename _InputIterator, typename _OutputIterator, typename _BinaryOperation> |
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| 234 | _OutputIterator |
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| 235 | partial_sum(_InputIterator __first, _InputIterator __last, |
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| 236 | _OutputIterator __result, _BinaryOperation __binary_op) |
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| 237 | { |
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| 238 | typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
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| 239 | |
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| 240 | // concept requirements |
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| 241 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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| 242 | __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, _ValueType>) |
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| 243 | __glibcxx_requires_valid_range(__first, __last); |
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| 244 | |
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| 245 | if (__first == __last) return __result; |
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| 246 | *__result = *__first; |
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| 247 | _ValueType __value = *__first; |
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| 248 | while (++__first != __last) { |
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| 249 | __value = __binary_op(__value, *__first); |
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| 250 | *++__result = __value; |
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| 251 | } |
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| 252 | return ++__result; |
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| 253 | } |
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| 254 | |
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| 255 | /** |
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| 256 | * @brief Return differences between adjacent values. |
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| 257 | * |
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| 258 | * Computes the difference between adjacent values in the range |
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| 259 | * [first,last) using operator-() and writes the result to @a result. |
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| 260 | * |
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| 261 | * @param first Start of input range. |
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| 262 | * @param last End of input range. |
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| 263 | * @param result Output to write sums to. |
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| 264 | * @return Iterator pointing just beyond the values written to result. |
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| 265 | */ |
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| 266 | template<typename _InputIterator, typename _OutputIterator> |
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| 267 | _OutputIterator |
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| 268 | adjacent_difference(_InputIterator __first, |
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| 269 | _InputIterator __last, _OutputIterator __result) |
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| 270 | { |
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| 271 | typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
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| 272 | |
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| 273 | // concept requirements |
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| 274 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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| 275 | __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, _ValueType>) |
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| 276 | __glibcxx_requires_valid_range(__first, __last); |
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| 277 | |
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| 278 | if (__first == __last) return __result; |
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| 279 | *__result = *__first; |
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| 280 | _ValueType __value = *__first; |
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| 281 | while (++__first != __last) { |
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| 282 | _ValueType __tmp = *__first; |
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| 283 | *++__result = __tmp - __value; |
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| 284 | __value = __tmp; |
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| 285 | } |
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| 286 | return ++__result; |
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| 287 | } |
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| 288 | |
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| 289 | /** |
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| 290 | * @brief Return differences between adjacent values. |
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| 291 | * |
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| 292 | * Computes the difference between adjacent values in the range |
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| 293 | * [first,last) using the function object @a binary_op and writes the |
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| 294 | * result to @a result. |
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| 295 | * |
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| 296 | * @param first Start of input range. |
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| 297 | * @param last End of input range. |
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| 298 | * @param result Output to write sums to. |
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| 299 | * @return Iterator pointing just beyond the values written to result. |
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| 300 | */ |
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| 301 | template<typename _InputIterator, typename _OutputIterator, typename _BinaryOperation> |
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| 302 | _OutputIterator |
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| 303 | adjacent_difference(_InputIterator __first, _InputIterator __last, |
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| 304 | _OutputIterator __result, _BinaryOperation __binary_op) |
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| 305 | { |
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| 306 | typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
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| 307 | |
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| 308 | // concept requirements |
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| 309 | __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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| 310 | __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, _ValueType>) |
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| 311 | __glibcxx_requires_valid_range(__first, __last); |
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| 312 | |
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| 313 | if (__first == __last) return __result; |
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| 314 | *__result = *__first; |
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| 315 | _ValueType __value = *__first; |
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| 316 | while (++__first != __last) { |
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| 317 | _ValueType __tmp = *__first; |
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| 318 | *++__result = __binary_op(__tmp, __value); |
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| 319 | __value = __tmp; |
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| 320 | } |
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| 321 | return ++__result; |
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| 322 | } |
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| 323 | |
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| 324 | } // namespace std |
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| 325 | |
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| 326 | #endif /* _STL_NUMERIC_H */ |
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