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annotate OrthancStone/Sources/Toolbox/DisjointDataSet.h @ 1871:7053b8a0aaec

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author Sebastien Jodogne <s.jodogne@gmail.com>
date Tue, 11 Jan 2022 11:18:48 +0100
parents 3889ae96d2e9
children
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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
1871
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5 * Copyright (C) 2017-2022 Osimis S.A., Belgium
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6 * Copyright (C) 2021-2022 Sebastien Jodogne, ICTEAM UCLouvain, Belgium
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7 *
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8 * This program is free software: you can redistribute it and/or
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9 * modify it under the terms of the GNU Lesser General Public License
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10 * as published by the Free Software Foundation, either version 3 of
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11 * the License, or (at your option) any later version.
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12 *
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13 * This program is distributed in the hope that it will be useful, but
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14 * WITHOUT ANY WARRANTY; without even the implied warranty of
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15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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16 * Lesser General Public License for more details.
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17 *
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18 * You should have received a copy of the GNU Lesser General Public
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19 * License along with this program. If not, see
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20 * <http://www.gnu.org/licenses/>.
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21 **/
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22
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23 #pragma once
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24
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25 #include <vector>
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26
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27 #include "../StoneException.h"
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28
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29 namespace OrthancStone
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30 {
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31 class DisjointDataSet
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32 {
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33 public:
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34 DisjointDataSet(size_t itemCount) :
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35 parents_(itemCount),
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36 ranks_(itemCount)
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37 {
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38 for (size_t index = 0; index < parents_.size(); index++)
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39 {
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40 SetParent(index,index);
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41 ranks_[index] = 1;
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42 }
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43 }
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44
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45 size_t Find(size_t item)
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46 {
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47 /*
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48 If parents_[i] == i, it means i is representative of a set.
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49 Otherwise, we go up the tree...
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50 */
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51 if (GetParent(item) != item)
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52 {
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53 // if item is not a top item (representative of its set),
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54 // we use path compression to improve future lookups
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55 // see: https://en.wikipedia.org/wiki/Disjoint-set_data_structure#Path_compression
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56 SetParent(item, Find(parents_[item]));
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57 }
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58
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59 // now that paths have been compressed, we are positively certain
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60 // that item's parent is a set ("X is a set" means that X is the
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61 // representative of a set)
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62 return GetParent(item);
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63 }
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64
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65 /*
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66 This merge the two sets that contains itemA and itemB
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67 */
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68 void Union(size_t itemA, size_t itemB)
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69 {
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70 // Find current sets of x and y
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71 size_t setA = Find(itemA);
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72 size_t setB = Find(itemB);
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73
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74 // if setA == setB, it means they are already in the same set and
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75 // do not need to be merged!
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76 if (setA != setB)
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77 {
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78 // we need to merge the sets, which means that the trees representing
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79 // the sets needs to be merged (there must be a single top parent to
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80 // all the items originally belonging to setA and setB must be the same)
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81
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82 // since the algorithm speed is inversely proportional to the tree
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83 // height (the rank), we need to combine trees in a way that
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84 // minimizes this rank. See "Union by rank" at
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85 // https://en.wikipedia.org/wiki/Disjoint-set_data_structure#by_rank
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86 if (GetRank(setA) < GetRank(setB))
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87 {
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88 SetParent(setA, setB);
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89 }
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90 else if (GetRank(setA) > GetRank(setB))
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91 {
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92 SetParent(setB, setA);
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93 }
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94 else
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95 {
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96 SetParent(setB, setA);
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97 BumpRank(setA);
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98 // the trees had the same height but we attached the whole of setB
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99 // under setA (under its parent), so the resulting tree is now
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100 // 1 higher. setB is NOT representative of a set anymore.
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101 }
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102 }
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103 }
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104
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105 private:
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106 size_t GetRank(size_t i) const
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107 {
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108 ORTHANC_ASSERT(i < ranks_.size());
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109 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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110 return ranks_[i];
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111 }
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112
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113 size_t GetParent(size_t i) const
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114 {
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115 ORTHANC_ASSERT(i < parents_.size());
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116 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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117 return parents_[i];
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118 }
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119
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120 void SetParent(size_t i, size_t parent)
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121 {
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122 ORTHANC_ASSERT(i < parents_.size());
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123 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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124 parents_[i] = parent;
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125 }
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126
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127 void BumpRank(size_t i)
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128 {
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129 ORTHANC_ASSERT(i < ranks_.size());
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130 ORTHANC_ASSERT(ranks_.size() == parents_.size());
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131 ranks_[i] = ranks_[i] + 1u;
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132 }
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133
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134 /*
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135 This vector contains the direct parent of each item
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136 */
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137 std::vector<size_t> parents_;
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138
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139 /*
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140 This vector contains the tree height of each set. The values in the
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141 vector for non-representative items is UNDEFINED!
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142 */
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143 std::vector<size_t> ranks_;
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144 };
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145
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146 }