| 1 | // Heap 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 | * Copyright (c) 1997 |
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| 44 | * Silicon Graphics Computer Systems, Inc. |
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| 45 | * |
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| 46 | * Permission to use, copy, modify, distribute and sell this software |
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| 47 | * and its documentation for any purpose is hereby granted without fee, |
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| 48 | * provided that the above copyright notice appear in all copies and |
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| 49 | * that both that copyright notice and this permission notice appear |
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| 50 | * in supporting documentation. Silicon Graphics makes no |
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| 51 | * representations about the suitability of this software for any |
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| 52 | * purpose. It is provided "as is" without express or implied warranty. |
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| 53 | */ |
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| 54 | |
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| 55 | /** @file stl_heap.h |
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| 56 | * This is an internal header file, included by other library headers. |
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| 57 | * You should not attempt to use it directly. |
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| 58 | */ |
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| 59 | |
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| 60 | #ifndef _STL_HEAP_H |
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| 61 | #define _STL_HEAP_H 1 |
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| 62 | |
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| 63 | #include <debug/debug.h> |
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| 64 | |
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| 65 | namespace std |
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| 66 | { |
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| 67 | // is_heap, a predicate testing whether or not a range is |
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| 68 | // a heap. This function is an extension, not part of the C++ |
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| 69 | // standard. |
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| 70 | template<typename _RandomAccessIterator, typename _Distance> |
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| 71 | bool |
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| 72 | __is_heap(_RandomAccessIterator __first, _Distance __n) |
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| 73 | { |
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| 74 | _Distance __parent = 0; |
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| 75 | for (_Distance __child = 1; __child < __n; ++__child) |
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| 76 | { |
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| 77 | if (__first[__parent] < __first[__child]) |
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| 78 | return false; |
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| 79 | if ((__child & 1) == 0) |
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| 80 | ++__parent; |
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| 81 | } |
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| 82 | return true; |
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| 83 | } |
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| 84 | |
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| 85 | template<typename _RandomAccessIterator, typename _Distance, |
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| 86 | typename _StrictWeakOrdering> |
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| 87 | bool |
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| 88 | __is_heap(_RandomAccessIterator __first, _StrictWeakOrdering __comp, |
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| 89 | _Distance __n) |
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| 90 | { |
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| 91 | _Distance __parent = 0; |
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| 92 | for (_Distance __child = 1; __child < __n; ++__child) |
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| 93 | { |
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| 94 | if (__comp(__first[__parent], __first[__child])) |
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| 95 | return false; |
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| 96 | if ((__child & 1) == 0) |
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| 97 | ++__parent; |
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| 98 | } |
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| 99 | return true; |
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| 100 | } |
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| 101 | |
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| 102 | template<typename _RandomAccessIterator> |
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| 103 | bool |
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| 104 | __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) |
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| 105 | { return std::__is_heap(__first, std::distance(__first, __last)); } |
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| 106 | |
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| 107 | template<typename _RandomAccessIterator, typename _StrictWeakOrdering> |
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| 108 | bool |
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| 109 | __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, |
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| 110 | _StrictWeakOrdering __comp) |
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| 111 | { return std::__is_heap(__first, __comp, std::distance(__first, __last)); } |
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| 112 | |
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| 113 | // Heap-manipulation functions: push_heap, pop_heap, make_heap, sort_heap. |
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| 114 | |
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| 115 | template<typename _RandomAccessIterator, typename _Distance, typename _Tp> |
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| 116 | void |
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| 117 | __push_heap(_RandomAccessIterator __first, |
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| 118 | _Distance __holeIndex, _Distance __topIndex, _Tp __value) |
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| 119 | { |
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| 120 | _Distance __parent = (__holeIndex - 1) / 2; |
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| 121 | while (__holeIndex > __topIndex && *(__first + __parent) < __value) |
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| 122 | { |
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| 123 | *(__first + __holeIndex) = *(__first + __parent); |
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| 124 | __holeIndex = __parent; |
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| 125 | __parent = (__holeIndex - 1) / 2; |
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| 126 | } |
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| 127 | *(__first + __holeIndex) = __value; |
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| 128 | } |
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| 129 | |
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| 130 | /** |
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| 131 | * @brief Push an element onto a heap. |
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| 132 | * @param first Start of heap. |
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| 133 | * @param last End of heap + element. |
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| 134 | * @ingroup heap |
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| 135 | * |
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| 136 | * This operation pushes the element at last-1 onto the valid heap over the |
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| 137 | * range [first,last-1). After completion, [first,last) is a valid heap. |
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| 138 | */ |
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| 139 | template<typename _RandomAccessIterator> |
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| 140 | inline void |
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| 141 | push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) |
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| 142 | { |
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| 143 | typedef typename iterator_traits<_RandomAccessIterator>::value_type |
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| 144 | _ValueType; |
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| 145 | typedef typename iterator_traits<_RandomAccessIterator>::difference_type |
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| 146 | _DistanceType; |
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| 147 | |
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| 148 | // concept requirements |
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| 149 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 150 | _RandomAccessIterator>) |
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| 151 | __glibcxx_function_requires(_LessThanComparableConcept<_ValueType>) |
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| 152 | __glibcxx_requires_valid_range(__first, __last); |
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| 153 | // __glibcxx_requires_heap(__first, __last - 1); |
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| 154 | |
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| 155 | std::__push_heap(__first, _DistanceType((__last - __first) - 1), |
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| 156 | _DistanceType(0), _ValueType(*(__last - 1))); |
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| 157 | } |
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| 158 | |
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| 159 | template<typename _RandomAccessIterator, typename _Distance, typename _Tp, |
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| 160 | typename _Compare> |
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| 161 | void |
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| 162 | __push_heap(_RandomAccessIterator __first, _Distance __holeIndex, |
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| 163 | _Distance __topIndex, _Tp __value, _Compare __comp) |
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| 164 | { |
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| 165 | _Distance __parent = (__holeIndex - 1) / 2; |
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| 166 | while (__holeIndex > __topIndex |
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| 167 | && __comp(*(__first + __parent), __value)) |
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| 168 | { |
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| 169 | *(__first + __holeIndex) = *(__first + __parent); |
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| 170 | __holeIndex = __parent; |
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| 171 | __parent = (__holeIndex - 1) / 2; |
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| 172 | } |
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| 173 | *(__first + __holeIndex) = __value; |
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| 174 | } |
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| 175 | |
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| 176 | /** |
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| 177 | * @brief Push an element onto a heap using comparison functor. |
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| 178 | * @param first Start of heap. |
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| 179 | * @param last End of heap + element. |
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| 180 | * @param comp Comparison functor. |
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| 181 | * @ingroup heap |
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| 182 | * |
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| 183 | * This operation pushes the element at last-1 onto the valid heap over the |
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| 184 | * range [first,last-1). After completion, [first,last) is a valid heap. |
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| 185 | * Compare operations are performed using comp. |
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| 186 | */ |
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| 187 | template<typename _RandomAccessIterator, typename _Compare> |
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| 188 | inline void |
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| 189 | push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, |
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| 190 | _Compare __comp) |
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| 191 | { |
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| 192 | typedef typename iterator_traits<_RandomAccessIterator>::value_type |
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| 193 | _ValueType; |
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| 194 | typedef typename iterator_traits<_RandomAccessIterator>::difference_type |
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| 195 | _DistanceType; |
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| 196 | |
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| 197 | // concept requirements |
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| 198 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 199 | _RandomAccessIterator>) |
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| 200 | __glibcxx_requires_valid_range(__first, __last); |
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| 201 | __glibcxx_requires_heap_pred(__first, __last - 1, __comp); |
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| 202 | |
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| 203 | std::__push_heap(__first, _DistanceType((__last - __first) - 1), |
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| 204 | _DistanceType(0), _ValueType(*(__last - 1)), __comp); |
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| 205 | } |
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| 206 | |
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| 207 | template<typename _RandomAccessIterator, typename _Distance, typename _Tp> |
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| 208 | void |
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| 209 | __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, |
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| 210 | _Distance __len, _Tp __value) |
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| 211 | { |
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| 212 | const _Distance __topIndex = __holeIndex; |
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| 213 | _Distance __secondChild = 2 * __holeIndex + 2; |
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| 214 | while (__secondChild < __len) |
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| 215 | { |
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| 216 | if (*(__first + __secondChild) < *(__first + (__secondChild - 1))) |
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| 217 | __secondChild--; |
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| 218 | *(__first + __holeIndex) = *(__first + __secondChild); |
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| 219 | __holeIndex = __secondChild; |
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| 220 | __secondChild = 2 * (__secondChild + 1); |
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| 221 | } |
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| 222 | if (__secondChild == __len) |
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| 223 | { |
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| 224 | *(__first + __holeIndex) = *(__first + (__secondChild - 1)); |
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| 225 | __holeIndex = __secondChild - 1; |
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| 226 | } |
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| 227 | std::__push_heap(__first, __holeIndex, __topIndex, __value); |
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| 228 | } |
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| 229 | |
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| 230 | template<typename _RandomAccessIterator, typename _Tp> |
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| 231 | inline void |
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| 232 | __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, |
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| 233 | _RandomAccessIterator __result, _Tp __value) |
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| 234 | { |
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| 235 | typedef typename iterator_traits<_RandomAccessIterator>::difference_type |
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| 236 | _Distance; |
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| 237 | *__result = *__first; |
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| 238 | std::__adjust_heap(__first, _Distance(0), _Distance(__last - __first), |
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| 239 | __value); |
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| 240 | } |
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| 241 | |
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| 242 | /** |
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| 243 | * @brief Pop an element off a heap. |
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| 244 | * @param first Start of heap. |
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| 245 | * @param last End of heap. |
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| 246 | * @ingroup heap |
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| 247 | * |
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| 248 | * This operation pops the top of the heap. The elements first and last-1 |
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| 249 | * are swapped and [first,last-1) is made into a heap. |
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| 250 | */ |
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| 251 | template<typename _RandomAccessIterator> |
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| 252 | inline void |
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| 253 | pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) |
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| 254 | { |
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| 255 | typedef typename iterator_traits<_RandomAccessIterator>::value_type |
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| 256 | _ValueType; |
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| 257 | |
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| 258 | // concept requirements |
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| 259 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 260 | _RandomAccessIterator>) |
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| 261 | __glibcxx_function_requires(_LessThanComparableConcept<_ValueType>) |
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| 262 | __glibcxx_requires_valid_range(__first, __last); |
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| 263 | __glibcxx_requires_heap(__first, __last); |
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| 264 | |
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| 265 | std::__pop_heap(__first, __last - 1, __last - 1, |
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| 266 | _ValueType(*(__last - 1))); |
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| 267 | } |
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| 268 | |
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| 269 | template<typename _RandomAccessIterator, typename _Distance, |
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| 270 | typename _Tp, typename _Compare> |
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| 271 | void |
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| 272 | __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, |
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| 273 | _Distance __len, _Tp __value, _Compare __comp) |
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| 274 | { |
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| 275 | const _Distance __topIndex = __holeIndex; |
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| 276 | _Distance __secondChild = 2 * __holeIndex + 2; |
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| 277 | while (__secondChild < __len) |
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| 278 | { |
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| 279 | if (__comp(*(__first + __secondChild), |
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| 280 | *(__first + (__secondChild - 1)))) |
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| 281 | __secondChild--; |
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| 282 | *(__first + __holeIndex) = *(__first + __secondChild); |
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| 283 | __holeIndex = __secondChild; |
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| 284 | __secondChild = 2 * (__secondChild + 1); |
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| 285 | } |
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| 286 | if (__secondChild == __len) |
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| 287 | { |
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| 288 | *(__first + __holeIndex) = *(__first + (__secondChild - 1)); |
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| 289 | __holeIndex = __secondChild - 1; |
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| 290 | } |
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| 291 | std::__push_heap(__first, __holeIndex, __topIndex, __value, __comp); |
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| 292 | } |
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| 293 | |
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| 294 | template<typename _RandomAccessIterator, typename _Tp, typename _Compare> |
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| 295 | inline void |
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| 296 | __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, |
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| 297 | _RandomAccessIterator __result, _Tp __value, _Compare __comp) |
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| 298 | { |
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| 299 | typedef typename iterator_traits<_RandomAccessIterator>::difference_type |
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| 300 | _Distance; |
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| 301 | *__result = *__first; |
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| 302 | std::__adjust_heap(__first, _Distance(0), _Distance(__last - __first), |
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| 303 | __value, __comp); |
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| 304 | } |
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| 305 | |
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| 306 | /** |
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| 307 | * @brief Pop an element off a heap using comparison functor. |
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| 308 | * @param first Start of heap. |
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| 309 | * @param last End of heap. |
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| 310 | * @param comp Comparison functor to use. |
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| 311 | * @ingroup heap |
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| 312 | * |
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| 313 | * This operation pops the top of the heap. The elements first and last-1 |
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| 314 | * are swapped and [first,last-1) is made into a heap. Comparisons are |
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| 315 | * made using comp. |
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| 316 | */ |
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| 317 | template<typename _RandomAccessIterator, typename _Compare> |
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| 318 | inline void |
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| 319 | pop_heap(_RandomAccessIterator __first, |
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| 320 | _RandomAccessIterator __last, _Compare __comp) |
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| 321 | { |
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| 322 | // concept requirements |
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| 323 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 324 | _RandomAccessIterator>) |
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| 325 | __glibcxx_requires_valid_range(__first, __last); |
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| 326 | __glibcxx_requires_heap_pred(__first, __last, __comp); |
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| 327 | |
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| 328 | typedef typename iterator_traits<_RandomAccessIterator>::value_type |
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| 329 | _ValueType; |
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| 330 | std::__pop_heap(__first, __last - 1, __last - 1, |
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| 331 | _ValueType(*(__last - 1)), __comp); |
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| 332 | } |
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| 333 | |
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| 334 | /** |
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| 335 | * @brief Construct a heap over a range. |
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| 336 | * @param first Start of heap. |
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| 337 | * @param last End of heap. |
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| 338 | * @ingroup heap |
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| 339 | * |
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| 340 | * This operation makes the elements in [first,last) into a heap. |
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| 341 | */ |
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| 342 | template<typename _RandomAccessIterator> |
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| 343 | void |
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| 344 | make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) |
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| 345 | { |
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| 346 | typedef typename iterator_traits<_RandomAccessIterator>::value_type |
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| 347 | _ValueType; |
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| 348 | typedef typename iterator_traits<_RandomAccessIterator>::difference_type |
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| 349 | _DistanceType; |
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| 350 | |
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| 351 | // concept requirements |
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| 352 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 353 | _RandomAccessIterator>) |
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| 354 | __glibcxx_function_requires(_LessThanComparableConcept<_ValueType>) |
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| 355 | __glibcxx_requires_valid_range(__first, __last); |
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| 356 | |
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| 357 | if (__last - __first < 2) |
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| 358 | return; |
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| 359 | |
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| 360 | const _DistanceType __len = __last - __first; |
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| 361 | _DistanceType __parent = (__len - 2) / 2; |
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| 362 | while (true) |
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| 363 | { |
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| 364 | std::__adjust_heap(__first, __parent, __len, |
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| 365 | _ValueType(*(__first + __parent))); |
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| 366 | if (__parent == 0) |
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| 367 | return; |
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| 368 | __parent--; |
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| 369 | } |
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| 370 | } |
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| 371 | |
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| 372 | /** |
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| 373 | * @brief Construct a heap over a range using comparison functor. |
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| 374 | * @param first Start of heap. |
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| 375 | * @param last End of heap. |
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| 376 | * @param comp Comparison functor to use. |
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| 377 | * @ingroup heap |
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| 378 | * |
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| 379 | * This operation makes the elements in [first,last) into a heap. |
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| 380 | * Comparisons are made using comp. |
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| 381 | */ |
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| 382 | template<typename _RandomAccessIterator, typename _Compare> |
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| 383 | inline void |
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| 384 | make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, |
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| 385 | _Compare __comp) |
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| 386 | { |
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| 387 | typedef typename iterator_traits<_RandomAccessIterator>::value_type |
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| 388 | _ValueType; |
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| 389 | typedef typename iterator_traits<_RandomAccessIterator>::difference_type |
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| 390 | _DistanceType; |
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| 391 | |
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| 392 | // concept requirements |
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| 393 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 394 | _RandomAccessIterator>) |
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| 395 | __glibcxx_requires_valid_range(__first, __last); |
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| 396 | |
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| 397 | if (__last - __first < 2) |
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| 398 | return; |
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| 399 | |
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| 400 | const _DistanceType __len = __last - __first; |
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| 401 | _DistanceType __parent = (__len - 2) / 2; |
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| 402 | while (true) |
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| 403 | { |
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| 404 | std::__adjust_heap(__first, __parent, __len, |
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| 405 | _ValueType(*(__first + __parent)), __comp); |
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| 406 | if (__parent == 0) |
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| 407 | return; |
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| 408 | __parent--; |
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| 409 | } |
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| 410 | } |
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| 411 | |
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| 412 | /** |
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| 413 | * @brief Sort a heap. |
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| 414 | * @param first Start of heap. |
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| 415 | * @param last End of heap. |
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| 416 | * @ingroup heap |
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| 417 | * |
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| 418 | * This operation sorts the valid heap in the range [first,last). |
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| 419 | */ |
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| 420 | template<typename _RandomAccessIterator> |
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| 421 | void |
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| 422 | sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) |
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| 423 | { |
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| 424 | // concept requirements |
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| 425 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 426 | _RandomAccessIterator>) |
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| 427 | __glibcxx_function_requires(_LessThanComparableConcept< |
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| 428 | typename iterator_traits<_RandomAccessIterator>::value_type>) |
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| 429 | __glibcxx_requires_valid_range(__first, __last); |
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| 430 | // __glibcxx_requires_heap(__first, __last); |
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| 431 | |
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| 432 | while (__last - __first > 1) |
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| 433 | std::pop_heap(__first, __last--); |
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| 434 | } |
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| 435 | |
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| 436 | /** |
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| 437 | * @brief Sort a heap using comparison functor. |
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| 438 | * @param first Start of heap. |
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| 439 | * @param last End of heap. |
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| 440 | * @param comp Comparison functor to use. |
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| 441 | * @ingroup heap |
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| 442 | * |
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| 443 | * This operation sorts the valid heap in the range [first,last). |
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| 444 | * Comparisons are made using comp. |
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| 445 | */ |
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| 446 | template<typename _RandomAccessIterator, typename _Compare> |
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| 447 | void |
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| 448 | sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, |
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| 449 | _Compare __comp) |
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| 450 | { |
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| 451 | // concept requirements |
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| 452 | __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< |
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| 453 | _RandomAccessIterator>) |
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| 454 | __glibcxx_requires_valid_range(__first, __last); |
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| 455 | __glibcxx_requires_heap_pred(__first, __last, __comp); |
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| 456 | |
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| 457 | while (__last - __first > 1) |
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| 458 | std::pop_heap(__first, __last--, __comp); |
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| 459 | } |
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| 460 | |
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| 461 | } // namespace std |
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| 462 | |
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| 463 | #endif /* _STL_HEAP_H */ |
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| 464 | |
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| 465 | // Local Variables: |
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| 466 | // mode:C++ |
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| 467 | // End: |
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