Mercurial > hg > orthanc-stone
annotate OrthancStone/Sources/Toolbox/DisjointDataSet.h @ 1848:3751485f1b2e
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author | Sebastien Jodogne <s.jodogne@gmail.com> |
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date | Mon, 28 Jun 2021 12:19:38 +0200 |
parents | 9ac2a65d4172 |
children | 3889ae96d2e9 |
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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) 2017-2021 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 Lesser 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 * Lesser 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 Lesser General Public |
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18 * License along with this program. If not, see |
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19 * <http://www.gnu.org/licenses/>. |
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20 **/ |
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21 |
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22 #pragma once |
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23 |
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24 #include <vector> |
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25 |
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26 #include "../StoneException.h" |
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27 |
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28 namespace OrthancStone |
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29 { |
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30 class DisjointDataSet |
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31 { |
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32 public: |
1018 | 33 DisjointDataSet(size_t itemCount) : |
34 parents_(itemCount), | |
35 ranks_(itemCount) | |
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36 { |
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37 for (size_t index = 0; index < parents_.size(); index++) |
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38 { |
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39 SetParent(index,index); |
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40 ranks_[index] = 1; |
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41 } |
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42 } |
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43 |
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44 size_t Find(size_t item) |
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45 { |
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46 /* |
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47 If parents_[i] == i, it means i is representative of a set. |
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48 Otherwise, we go up the tree... |
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49 */ |
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50 if (GetParent(item) != item) |
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51 { |
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52 // if item is not a top item (representative of its set), |
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53 // we use path compression to improve future lookups |
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54 // see: https://en.wikipedia.org/wiki/Disjoint-set_data_structure#Path_compression |
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55 SetParent(item, Find(parents_[item])); |
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56 } |
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57 |
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58 // now that paths have been compressed, we are positively certain |
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59 // that item's parent is a set ("X is a set" means that X is the |
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60 // representative of a set) |
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61 return GetParent(item); |
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62 } |
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63 |
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64 /* |
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65 This merge the two sets that contains itemA and itemB |
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66 */ |
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67 void Union(size_t itemA, size_t itemB) |
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68 { |
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69 // Find current sets of x and y |
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70 size_t setA = Find(itemA); |
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71 size_t setB = Find(itemB); |
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72 |
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73 // if setA == setB, it means they are already in the same set and |
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74 // do not need to be merged! |
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75 if (setA != setB) |
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76 { |
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77 // we need to merge the sets, which means that the trees representing |
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78 // the sets needs to be merged (there must be a single top parent to |
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79 // all the items originally belonging to setA and setB must be the same) |
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80 |
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81 // since the algorithm speed is inversely proportional to the tree |
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82 // height (the rank), we need to combine trees in a way that |
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83 // minimizes this rank. See "Union by rank" at |
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84 // https://en.wikipedia.org/wiki/Disjoint-set_data_structure#by_rank |
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85 if (GetRank(setA) < GetRank(setB)) |
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86 { |
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87 SetParent(setA, setB); |
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88 } |
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89 else if (GetRank(setA) > GetRank(setB)) |
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90 { |
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91 SetParent(setB, setA); |
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92 } |
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93 else |
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94 { |
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95 SetParent(setB, setA); |
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96 BumpRank(setA); |
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97 // the trees had the same height but we attached the whole of setB |
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98 // under setA (under its parent), so the resulting tree is now |
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99 // 1 higher. setB is NOT representative of a set anymore. |
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100 } |
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101 } |
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102 } |
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103 |
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104 private: |
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105 size_t GetRank(size_t i) const |
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106 { |
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107 ORTHANC_ASSERT(i < ranks_.size()); |
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108 ORTHANC_ASSERT(ranks_.size() == parents_.size()); |
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109 return ranks_[i]; |
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110 } |
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111 |
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112 size_t GetParent(size_t i) const |
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113 { |
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114 ORTHANC_ASSERT(i < parents_.size()); |
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115 ORTHANC_ASSERT(ranks_.size() == parents_.size()); |
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116 return parents_[i]; |
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117 } |
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118 |
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119 void SetParent(size_t i, size_t parent) |
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120 { |
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121 ORTHANC_ASSERT(i < parents_.size()); |
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122 ORTHANC_ASSERT(ranks_.size() == parents_.size()); |
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123 parents_[i] = parent; |
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124 } |
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125 |
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126 void BumpRank(size_t i) |
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127 { |
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128 ORTHANC_ASSERT(i < ranks_.size()); |
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129 ORTHANC_ASSERT(ranks_.size() == parents_.size()); |
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130 ranks_[i] = ranks_[i] + 1u; |
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131 } |
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132 |
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133 /* |
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134 This vector contains the direct parent of each item |
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135 */ |
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136 std::vector<size_t> parents_; |
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137 |
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138 /* |
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139 This vector contains the tree height of each set. The values in the |
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140 vector for non-representative items is UNDEFINED! |
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141 */ |
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142 std::vector<size_t> ranks_; |
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143 }; |
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144 |
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145 } |