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// Numeric functions implementation -*- C++ -*- |
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// Copyright (C) 2001-2015 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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// 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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// 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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// 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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// . |
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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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51
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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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#ifndef _STL_NUMERIC_H |
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#define _STL_NUMERIC_H 1 |
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59
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#include |
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60
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#include |
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61
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#include // For _GLIBCXX_MOVE |
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62
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63
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#if __cplusplus >= 201103L |
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65
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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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69
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/** |
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* @brief Create a range of sequentially increasing values. |
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* |
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72
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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 |
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void |
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iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value) |
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83
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{ |
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84
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// concept requirements |
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85
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__glibcxx_function_requires(_Mutable_ForwardIteratorConcept< |
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_ForwardIterator>) |
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87
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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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91
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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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98
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_GLIBCXX_END_NAMESPACE_VERSION |
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} // namespace std |
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101
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#endif |
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102
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103
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namespace std _GLIBCXX_VISIBILITY(default) |
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{ |
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105
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_GLIBCXX_BEGIN_NAMESPACE_ALGO |
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107
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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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116
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* @return The final sum. |
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117
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*/ |
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118
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template |
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inline _Tp |
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0
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accumulate(_InputIterator __first, _InputIterator __last, _Tp __init) |
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{ |
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122
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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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126
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0
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for (; __first != __last; ++__first) |
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0
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__init = __init + *__first; |
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0
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return __init; |
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} |
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131
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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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135
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* object @p __binary_op. The initial value is @p __init. The values are |
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136
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* processed in order. |
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137
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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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141
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* @param __binary_op Function object to accumulate with. |
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142
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* @return The final sum. |
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143
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*/ |
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144
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template |
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145
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inline _Tp |
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146
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accumulate(_InputIterator __first, _InputIterator __last, _Tp __init, |
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147
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_BinaryOperation __binary_op) |
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148
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{ |
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// concept requirements |
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150
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__glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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151
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__glibcxx_requires_valid_range(__first, __last); |
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152
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153
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for (; __first != __last; ++__first) |
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154
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__init = __binary_op(__init, *__first); |
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155
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return __init; |
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156
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} |
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157
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158
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/** |
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159
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* @brief Compute inner product of two ranges. |
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160
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* |
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161
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* Starting with an initial value of @p __init, multiplies successive |
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162
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* elements from the two ranges and adds each product into the accumulated |
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163
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* value using operator+(). The values in the ranges are processed in |
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164
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* order. |
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165
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* |
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166
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* @param __first1 Start of range 1. |
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167
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* @param __last1 End of range 1. |
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168
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* @param __first2 Start of range 2. |
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169
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* @param __init Starting value to add other values to. |
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170
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* @return The final inner product. |
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171
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*/ |
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172
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template |
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173
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inline _Tp |
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174
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inner_product(_InputIterator1 __first1, _InputIterator1 __last1, |
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175
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_InputIterator2 __first2, _Tp __init) |
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176
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{ |
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177
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// concept requirements |
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178
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__glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) |
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179
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__glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) |
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180
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__glibcxx_requires_valid_range(__first1, __last1); |
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181
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182
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for (; __first1 != __last1; ++__first1, ++__first2) |
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183
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__init = __init + (*__first1 * *__first2); |
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184
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return __init; |
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185
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} |
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186
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187
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/** |
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188
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* @brief Compute inner product of two ranges. |
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189
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* |
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190
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* Starting with an initial value of @p __init, applies @p __binary_op2 to |
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191
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* successive elements from the two ranges and accumulates each result into |
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192
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* the accumulated value using @p __binary_op1. The values in the ranges are |
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193
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* processed in order. |
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194
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* |
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195
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* @param __first1 Start of range 1. |
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196
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* @param __last1 End of range 1. |
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197
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* @param __first2 Start of range 2. |
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198
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* @param __init Starting value to add other values to. |
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199
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* @param __binary_op1 Function object to accumulate with. |
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200
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* @param __binary_op2 Function object to apply to pairs of input values. |
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201
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* @return The final inner product. |
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202
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*/ |
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203
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template
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204
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typename _BinaryOperation1, typename _BinaryOperation2> |
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205
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inline _Tp |
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206
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inner_product(_InputIterator1 __first1, _InputIterator1 __last1, |
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207
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_InputIterator2 __first2, _Tp __init, |
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208
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_BinaryOperation1 __binary_op1, |
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209
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_BinaryOperation2 __binary_op2) |
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210
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{ |
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211
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// concept requirements |
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212
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__glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) |
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213
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__glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) |
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214
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__glibcxx_requires_valid_range(__first1, __last1); |
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for (; __first1 != __last1; ++__first1, ++__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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* @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 |
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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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// 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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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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261
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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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266
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* the first value of the input, the second value in @p __result is the sum |
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267
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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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271
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* @param __result Output sum. |
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272
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* @param __binary_op Function object. |
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273
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* @return Iterator pointing just beyond the values written to __result. |
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274
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*/ |
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275
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template
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276
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typename _BinaryOperation> |
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277
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_OutputIterator |
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278
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partial_sum(_InputIterator __first, _InputIterator __last, |
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279
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_OutputIterator __result, _BinaryOperation __binary_op) |
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280
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{ |
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281
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typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
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282
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283
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// concept requirements |
|
284
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__glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
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285
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__glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, |
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286
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_ValueType>) |
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287
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__glibcxx_requires_valid_range(__first, __last); |
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288
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289
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if (__first == __last) |
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290
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return __result; |
|
291
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|
_ValueType __value = *__first; |
|
292
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|
*__result = __value; |
|
293
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while (++__first != __last) |
|
294
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{ |
|
295
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|
__value = __binary_op(__value, *__first); |
|
296
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|
*++__result = __value; |
|
297
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|
} |
|
298
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return ++__result; |
|
299
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} |
|
300
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301
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/** |
|
302
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|
* @brief Return differences between adjacent values. |
|
303
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* |
|
304
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|
* Computes the difference between adjacent values in the range |
|
305
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|
* [first,last) using operator-() and writes the result to @p __result. |
|
306
|
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|
* |
|
307
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|
* @param __first Start of input range. |
|
308
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|
* @param __last End of input range. |
|
309
|
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|
* @param __result Output sums. |
|
310
|
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|
* @return Iterator pointing just beyond the values written to result. |
|
311
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|
* |
|
312
|
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|
|
* _GLIBCXX_RESOLVE_LIB_DEFECTS |
|
313
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|
|
* DR 539. partial_sum and adjacent_difference should mention requirements |
|
314
|
|
|
|
|
|
|
*/ |
|
315
|
|
|
|
|
|
|
template |
|
316
|
|
|
|
|
|
|
_OutputIterator |
|
317
|
|
|
|
|
|
|
adjacent_difference(_InputIterator __first, |
|
318
|
|
|
|
|
|
|
_InputIterator __last, _OutputIterator __result) |
|
319
|
|
|
|
|
|
|
{ |
|
320
|
|
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|
|
|
|
typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
|
321
|
|
|
|
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|
|
|
|
322
|
|
|
|
|
|
|
// concept requirements |
|
323
|
|
|
|
|
|
|
__glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
|
324
|
|
|
|
|
|
|
__glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, |
|
325
|
|
|
|
|
|
|
_ValueType>) |
|
326
|
|
|
|
|
|
|
__glibcxx_requires_valid_range(__first, __last); |
|
327
|
|
|
|
|
|
|
|
|
328
|
|
|
|
|
|
|
if (__first == __last) |
|
329
|
|
|
|
|
|
|
return __result; |
|
330
|
|
|
|
|
|
|
_ValueType __value = *__first; |
|
331
|
|
|
|
|
|
|
*__result = __value; |
|
332
|
|
|
|
|
|
|
while (++__first != __last) |
|
333
|
|
|
|
|
|
|
{ |
|
334
|
|
|
|
|
|
|
_ValueType __tmp = *__first; |
|
335
|
|
|
|
|
|
|
*++__result = __tmp - __value; |
|
336
|
|
|
|
|
|
|
__value = _GLIBCXX_MOVE(__tmp); |
|
337
|
|
|
|
|
|
|
} |
|
338
|
|
|
|
|
|
|
return ++__result; |
|
339
|
|
|
|
|
|
|
} |
|
340
|
|
|
|
|
|
|
|
|
341
|
|
|
|
|
|
|
/** |
|
342
|
|
|
|
|
|
|
* @brief Return differences between adjacent values. |
|
343
|
|
|
|
|
|
|
* |
|
344
|
|
|
|
|
|
|
* Computes the difference between adjacent values in the range |
|
345
|
|
|
|
|
|
|
* [__first,__last) using the function object @p __binary_op and writes the |
|
346
|
|
|
|
|
|
|
* result to @p __result. |
|
347
|
|
|
|
|
|
|
* |
|
348
|
|
|
|
|
|
|
* @param __first Start of input range. |
|
349
|
|
|
|
|
|
|
* @param __last End of input range. |
|
350
|
|
|
|
|
|
|
* @param __result Output sum. |
|
351
|
|
|
|
|
|
|
* @param __binary_op Function object. |
|
352
|
|
|
|
|
|
|
* @return Iterator pointing just beyond the values written to result. |
|
353
|
|
|
|
|
|
|
* |
|
354
|
|
|
|
|
|
|
* _GLIBCXX_RESOLVE_LIB_DEFECTS |
|
355
|
|
|
|
|
|
|
* DR 539. partial_sum and adjacent_difference should mention requirements |
|
356
|
|
|
|
|
|
|
*/ |
|
357
|
|
|
|
|
|
|
template
|
|
358
|
|
|
|
|
|
|
typename _BinaryOperation> |
|
359
|
|
|
|
|
|
|
_OutputIterator |
|
360
|
|
|
|
|
|
|
adjacent_difference(_InputIterator __first, _InputIterator __last, |
|
361
|
|
|
|
|
|
|
_OutputIterator __result, _BinaryOperation __binary_op) |
|
362
|
|
|
|
|
|
|
{ |
|
363
|
|
|
|
|
|
|
typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
|
364
|
|
|
|
|
|
|
|
|
365
|
|
|
|
|
|
|
// concept requirements |
|
366
|
|
|
|
|
|
|
__glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
|
367
|
|
|
|
|
|
|
__glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, |
|
368
|
|
|
|
|
|
|
_ValueType>) |
|
369
|
|
|
|
|
|
|
__glibcxx_requires_valid_range(__first, __last); |
|
370
|
|
|
|
|
|
|
|
|
371
|
|
|
|
|
|
|
if (__first == __last) |
|
372
|
|
|
|
|
|
|
return __result; |
|
373
|
|
|
|
|
|
|
_ValueType __value = *__first; |
|
374
|
|
|
|
|
|
|
*__result = __value; |
|
375
|
|
|
|
|
|
|
while (++__first != __last) |
|
376
|
|
|
|
|
|
|
{ |
|
377
|
|
|
|
|
|
|
_ValueType __tmp = *__first; |
|
378
|
|
|
|
|
|
|
*++__result = __binary_op(__tmp, __value); |
|
379
|
|
|
|
|
|
|
__value = _GLIBCXX_MOVE(__tmp); |
|
380
|
|
|
|
|
|
|
} |
|
381
|
|
|
|
|
|
|
return ++__result; |
|
382
|
|
|
|
|
|
|
} |
|
383
|
|
|
|
|
|
|
|
|
384
|
|
|
|
|
|
|
_GLIBCXX_END_NAMESPACE_ALGO |
|
385
|
|
|
|
|
|
|
} // namespace std |
|
386
|
|
|
|
|
|
|
|
|
387
|
|
|
|
|
|
|
#endif /* _STL_NUMERIC_H */ |