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annotate Framework/Toolbox/DisjointDataSet.h @ 1005:7e861cfd142d

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Added a union find class (on integers) called DisjointDataSet
author Benjamin Golinvaux <bgo@osimis.io>
date Fri, 20 Sep 2019 12:01:20 +0200
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children 58eed6bbcabb
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1005
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1 /**
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2 * Stone of Orthanc
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3 * Copyright (C) 2012-2016 Sebastien Jodogne, Medical Physics
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4 * Department, University Hospital of Liege, Belgium
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5 * Copyright (C) 2017-2019 Osimis S.A., Belgium
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6 *
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7 * This program is free software: you can redistribute it and/or
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8 * modify it under the terms of the GNU Affero General Public License
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9 * as published by the Free Software Foundation, either version 3 of
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10 * the License, or (at your option) any later version.
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11 *
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12 * This program is distributed in the hope that it will be useful, but
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13 * WITHOUT ANY WARRANTY; without even the implied warranty of
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14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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15 * Affero General Public License for more details.
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16 *
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17 * You should have received a copy of the GNU Affero General Public License
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18 * along with this program. If not, see <http://www.gnu.org/licenses/>.
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19 **/
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20
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21 #pragma once
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22
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23 #include <vector>
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24
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25 #include "../StoneException.h"
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26
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27 namespace OrthancStone
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28 {
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29 class DisjointDataSet
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30 {
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31 public:
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32 DisjointDataSet(size_t itemCount)
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33 : ranks_(itemCount)
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34 , parents_(itemCount)
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35 {
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36 for (size_t index = 0; index < parents_.size(); index++)
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37 {
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38 SetParent(index,index);
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39 ranks_[index] = 1;
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40 }
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41 }
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42
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43 size_t Find(size_t item)
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44 {
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45 /*
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46 If parents_[i] == i, it means i is representative of a set.
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47 Otherwise, we go up the tree...
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48 */
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49 if (GetParent(item) != item)
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50 {
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51 // if item is not a top item (representative of its set),
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52 // we use path compression to improve future lookups
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53 // see: https://en.wikipedia.org/wiki/Disjoint-set_data_structure#Path_compression
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54 SetParent(item, Find(parents_[item]));
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55 }
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56
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57 // now that paths have been compressed, we are positively certain
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58 // that item's parent is a set ("X is a set" means that X is the
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59 // representative of a set)
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60 return GetParent(item);
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61 }
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62
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63 /*
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64 This merge the two sets that contains itemA and itemB
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65 */
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66 void Union(size_t itemA, size_t itemB)
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67 {
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68 // Find current sets of x and y
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69 size_t setA = Find(itemA);
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70 size_t setB = Find(itemB);
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71
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72 // if setA == setB, it means they are already in the same set and
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73 // do not need to be merged!
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74 if (setA != setB)
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75 {
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76 // we need to merge the sets, which means that the trees representing
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77 // the sets needs to be merged (there must be a single top parent to
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78 // all the items originally belonging to setA and setB must be the same)
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79
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80 // since the algorithm speed is inversely proportional to the tree
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81 // height (the rank), we need to combine trees in a way that
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82 // minimizes this rank. See "Union by rank" at
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83 // https://en.wikipedia.org/wiki/Disjoint-set_data_structure#by_rank
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84 if (GetRank(setA) < GetRank(setB))
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85 {
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86 SetParent(setA, setB);
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87 }
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88 else if (GetRank(setA) > GetRank(setB))
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89 {
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90 SetParent(setB, setA);
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91 }
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92 else
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93 {
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94 SetParent(setB, setA);
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95 BumpRank(setA);
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96 // the trees had the same height but we attached the whole of setB
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97 // under setA (under its parent), so the resulting tree is now
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98 // 1 higher. setB is NOT representative of a set anymore.
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99 }
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100 }
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101 }
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102
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103 private:
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104 size_t GetRank(size_t i) const
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105 {
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106 ORTHANC_ASSERT(i < ranks_.size());
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107 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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108 return ranks_[i];
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109 }
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110
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111 size_t GetParent(size_t i) const
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112 {
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113 ORTHANC_ASSERT(i < parents_.size());
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114 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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115 return parents_[i];
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116 }
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117
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118 void SetParent(size_t i, size_t parent)
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119 {
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120 ORTHANC_ASSERT(i < parents_.size());
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121 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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122 parents_[i] = parent;
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123 }
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124
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125 void BumpRank(size_t i)
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126 {
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127 ORTHANC_ASSERT(i < ranks_.size());
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128 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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129 ranks_[i] = ranks_[i] + 1u;
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130 }
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131
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132 /*
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133 This vector contains the direct parent of each item
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134 */
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135 std::vector<size_t> parents_;
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136
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137 /*
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138 This vector contains the tree height of each set. The values in the
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139 vector for non-representative items is UNDEFINED!
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140 */
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141 std::vector<size_t> ranks_;
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142 };
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143
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144 }