| 1 | /* -*- C++ -*- |
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| 2 | * lemon/list_graph.h - Part of LEMON, a generic C++ optimization library |
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| 3 | * |
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| 4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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| 5 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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| 6 | * |
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| 7 | * Permission to use, modify and distribute this software is granted |
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| 8 | * provided that this copyright notice appears in all copies. For |
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| 9 | * precise terms see the accompanying LICENSE file. |
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| 10 | * |
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| 11 | * This software is provided "AS IS" with no warranty of any kind, |
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| 12 | * express or implied, and with no claim as to its suitability for any |
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| 13 | * purpose. |
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| 14 | * |
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| 15 | */ |
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| 16 | |
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| 17 | #ifndef LEMON_LIST_GRAPH_H |
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| 18 | #define LEMON_LIST_GRAPH_H |
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| 19 | |
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| 20 | ///\ingroup graphs |
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| 21 | ///\file |
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| 22 | ///\brief ListGraph, SymListGraph classes. |
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| 23 | |
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| 24 | #include <lemon/bits/erasable_graph_extender.h> |
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| 25 | #include <lemon/bits/clearable_graph_extender.h> |
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| 26 | #include <lemon/bits/extendable_graph_extender.h> |
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| 27 | #include <lemon/bits/iterable_graph_extender.h> |
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| 28 | #include <lemon/bits/alteration_notifier.h> |
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| 29 | #include <lemon/bits/default_map.h> |
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| 30 | |
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| 31 | #include <lemon/bits/undir_graph_extender.h> |
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| 32 | |
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| 33 | #include <list> |
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| 34 | |
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| 35 | namespace lemon { |
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| 36 | |
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| 37 | class ListGraphBase { |
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| 38 | |
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| 39 | protected: |
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| 40 | struct NodeT { |
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| 41 | int first_in, first_out; |
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| 42 | int prev, next; |
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| 43 | }; |
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| 44 | |
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| 45 | struct EdgeT { |
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| 46 | int target, source; |
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| 47 | int prev_in, prev_out; |
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| 48 | int next_in, next_out; |
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| 49 | }; |
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| 50 | |
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| 51 | std::vector<NodeT> nodes; |
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| 52 | |
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| 53 | int first_node; |
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| 54 | |
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| 55 | int first_free_node; |
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| 56 | |
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| 57 | std::vector<EdgeT> edges; |
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| 58 | |
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| 59 | int first_free_edge; |
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| 60 | |
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| 61 | public: |
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| 62 | |
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| 63 | typedef ListGraphBase Graph; |
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| 64 | |
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| 65 | class Node { |
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| 66 | friend class ListGraphBase; |
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| 67 | protected: |
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| 68 | |
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| 69 | int id; |
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| 70 | Node(int pid) { id = pid;} |
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| 71 | |
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| 72 | public: |
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| 73 | Node() {} |
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| 74 | Node (Invalid) { id = -1; } |
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| 75 | bool operator==(const Node& node) const {return id == node.id;} |
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| 76 | bool operator!=(const Node& node) const {return id != node.id;} |
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| 77 | bool operator<(const Node& node) const {return id < node.id;} |
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| 78 | }; |
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| 79 | |
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| 80 | class Edge { |
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| 81 | friend class ListGraphBase; |
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| 82 | protected: |
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| 83 | |
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| 84 | int id; |
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| 85 | Edge(int pid) { id = pid;} |
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| 86 | |
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| 87 | public: |
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| 88 | Edge() {} |
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| 89 | Edge (Invalid) { id = -1; } |
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| 90 | bool operator==(const Edge& edge) const {return id == edge.id;} |
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| 91 | bool operator!=(const Edge& edge) const {return id != edge.id;} |
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| 92 | bool operator<(const Edge& edge) const {return id < edge.id;} |
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| 93 | }; |
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| 94 | |
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| 95 | |
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| 96 | |
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| 97 | ListGraphBase() |
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| 98 | : nodes(), first_node(-1), |
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| 99 | first_free_node(-1), edges(), first_free_edge(-1) {} |
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| 100 | |
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| 101 | |
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| 102 | /// Maximum node ID. |
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| 103 | |
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| 104 | /// Maximum node ID. |
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| 105 | ///\sa id(Node) |
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| 106 | int maxId(Node = INVALID) const { return nodes.size()-1; } |
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| 107 | |
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| 108 | /// Maximum edge ID. |
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| 109 | |
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| 110 | /// Maximum edge ID. |
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| 111 | ///\sa id(Edge) |
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| 112 | int maxId(Edge = INVALID) const { return edges.size()-1; } |
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| 113 | |
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| 114 | Node source(Edge e) const { return edges[e.id].source; } |
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| 115 | Node target(Edge e) const { return edges[e.id].target; } |
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| 116 | |
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| 117 | |
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| 118 | void first(Node& node) const { |
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| 119 | node.id = first_node; |
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| 120 | } |
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| 121 | |
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| 122 | void next(Node& node) const { |
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| 123 | node.id = nodes[node.id].next; |
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| 124 | } |
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| 125 | |
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| 126 | |
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| 127 | void first(Edge& e) const { |
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| 128 | int n; |
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| 129 | for(n = first_node; |
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| 130 | n!=-1 && nodes[n].first_in == -1; |
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| 131 | n = nodes[n].next); |
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| 132 | e.id = (n == -1) ? -1 : nodes[n].first_in; |
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| 133 | } |
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| 134 | |
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| 135 | void next(Edge& edge) const { |
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| 136 | if (edges[edge.id].next_in != -1) { |
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| 137 | edge.id = edges[edge.id].next_in; |
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| 138 | } else { |
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| 139 | int n; |
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| 140 | for(n = nodes[edges[edge.id].target].next; |
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| 141 | n!=-1 && nodes[n].first_in == -1; |
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| 142 | n = nodes[n].next); |
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| 143 | edge.id = (n == -1) ? -1 : nodes[n].first_in; |
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| 144 | } |
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| 145 | } |
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| 146 | |
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| 147 | void firstOut(Edge &e, const Node& v) const { |
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| 148 | e.id = nodes[v.id].first_out; |
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| 149 | } |
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| 150 | void nextOut(Edge &e) const { |
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| 151 | e.id=edges[e.id].next_out; |
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| 152 | } |
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| 153 | |
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| 154 | void firstIn(Edge &e, const Node& v) const { |
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| 155 | e.id = nodes[v.id].first_in; |
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| 156 | } |
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| 157 | void nextIn(Edge &e) const { |
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| 158 | e.id=edges[e.id].next_in; |
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| 159 | } |
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| 160 | |
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| 161 | |
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| 162 | static int id(Node v) { return v.id; } |
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| 163 | static int id(Edge e) { return e.id; } |
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| 164 | |
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| 165 | static Node fromId(int id, Node) { return Node(id);} |
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| 166 | static Edge fromId(int id, Edge) { return Edge(id);} |
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| 167 | |
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| 168 | /// Adds a new node to the graph. |
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| 169 | |
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| 170 | /// \warning It adds the new node to the front of the list. |
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| 171 | /// (i.e. the lastly added node becomes the first.) |
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| 172 | Node addNode() { |
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| 173 | int n; |
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| 174 | |
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| 175 | if(first_free_node==-1) { |
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| 176 | n = nodes.size(); |
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| 177 | nodes.push_back(NodeT()); |
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| 178 | } else { |
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| 179 | n = first_free_node; |
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| 180 | first_free_node = nodes[n].next; |
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| 181 | } |
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| 182 | |
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| 183 | nodes[n].next = first_node; |
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| 184 | if(first_node != -1) nodes[first_node].prev = n; |
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| 185 | first_node = n; |
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| 186 | nodes[n].prev = -1; |
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| 187 | |
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| 188 | nodes[n].first_in = nodes[n].first_out = -1; |
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| 189 | |
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| 190 | return Node(n); |
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| 191 | } |
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| 192 | |
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| 193 | Edge addEdge(Node u, Node v) { |
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| 194 | int n; |
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| 195 | |
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| 196 | if (first_free_edge == -1) { |
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| 197 | n = edges.size(); |
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| 198 | edges.push_back(EdgeT()); |
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| 199 | } else { |
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| 200 | n = first_free_edge; |
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| 201 | first_free_edge = edges[n].next_in; |
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| 202 | } |
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| 203 | |
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| 204 | edges[n].source = u.id; |
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| 205 | edges[n].target = v.id; |
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| 206 | |
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| 207 | edges[n].next_out = nodes[u.id].first_out; |
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| 208 | if(nodes[u.id].first_out != -1) { |
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| 209 | edges[nodes[u.id].first_out].prev_out = n; |
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| 210 | } |
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| 211 | |
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| 212 | edges[n].next_in = nodes[v.id].first_in; |
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| 213 | if(nodes[v.id].first_in != -1) { |
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| 214 | edges[nodes[v.id].first_in].prev_in = n; |
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| 215 | } |
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| 216 | |
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| 217 | edges[n].prev_in = edges[n].prev_out = -1; |
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| 218 | |
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| 219 | nodes[u.id].first_out = nodes[v.id].first_in = n; |
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| 220 | |
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| 221 | return Edge(n); |
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| 222 | } |
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| 223 | |
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| 224 | void erase(const Node& node) { |
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| 225 | int n = node.id; |
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| 226 | |
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| 227 | if(nodes[n].next != -1) { |
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| 228 | nodes[nodes[n].next].prev = nodes[n].prev; |
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| 229 | } |
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| 230 | |
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| 231 | if(nodes[n].prev != -1) { |
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| 232 | nodes[nodes[n].prev].next = nodes[n].next; |
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| 233 | } else { |
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| 234 | first_node = nodes[n].next; |
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| 235 | } |
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| 236 | |
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| 237 | nodes[n].next = first_free_node; |
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| 238 | first_free_node = n; |
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| 239 | |
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| 240 | } |
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| 241 | |
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| 242 | void erase(const Edge& edge) { |
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| 243 | int n = edge.id; |
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| 244 | |
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| 245 | if(edges[n].next_in!=-1) { |
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| 246 | edges[edges[n].next_in].prev_in = edges[n].prev_in; |
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| 247 | } |
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| 248 | |
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| 249 | if(edges[n].prev_in!=-1) { |
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| 250 | edges[edges[n].prev_in].next_in = edges[n].next_in; |
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| 251 | } else { |
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| 252 | nodes[edges[n].target].first_in = edges[n].next_in; |
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| 253 | } |
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| 254 | |
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| 255 | |
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| 256 | if(edges[n].next_out!=-1) { |
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| 257 | edges[edges[n].next_out].prev_out = edges[n].prev_out; |
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| 258 | } |
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| 259 | |
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| 260 | if(edges[n].prev_out!=-1) { |
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| 261 | edges[edges[n].prev_out].next_out = edges[n].next_out; |
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| 262 | } else { |
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| 263 | nodes[edges[n].source].first_out = edges[n].next_out; |
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| 264 | } |
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| 265 | |
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| 266 | edges[n].next_in = first_free_edge; |
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| 267 | first_free_edge = n; |
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| 268 | |
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| 269 | } |
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| 270 | |
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| 271 | void clear() { |
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| 272 | edges.clear(); |
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| 273 | nodes.clear(); |
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| 274 | first_node = first_free_node = first_free_edge = -1; |
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| 275 | } |
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| 276 | |
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| 277 | protected: |
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| 278 | void _changeTarget(Edge e, Node n) |
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| 279 | { |
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| 280 | if(edges[e.id].next_in != -1) |
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| 281 | edges[edges[e.id].next_in].prev_in = edges[e.id].prev_in; |
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| 282 | if(edges[e.id].prev_in != -1) |
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| 283 | edges[edges[e.id].prev_in].next_in = edges[e.id].next_in; |
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| 284 | else nodes[edges[e.id].target].first_in = edges[e.id].next_in; |
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| 285 | edges[e.id].target = n.id; |
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| 286 | edges[e.id].prev_in = -1; |
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| 287 | edges[e.id].next_in = nodes[n.id].first_in; |
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| 288 | nodes[n.id].first_in = e.id; |
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| 289 | } |
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| 290 | void _changeSource(Edge e, Node n) |
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| 291 | { |
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| 292 | if(edges[e.id].next_out != -1) |
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| 293 | edges[edges[e.id].next_out].prev_out = edges[e.id].prev_out; |
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| 294 | if(edges[e.id].prev_out != -1) |
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| 295 | edges[edges[e.id].prev_out].next_out = edges[e.id].next_out; |
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| 296 | else nodes[edges[e.id].source].first_out = edges[e.id].next_out; |
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| 297 | edges[e.id].source = n.id; |
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| 298 | edges[e.id].prev_out = -1; |
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| 299 | edges[e.id].next_out = nodes[n.id].first_out; |
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| 300 | nodes[n.id].first_out = e.id; |
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| 301 | } |
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| 302 | |
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| 303 | }; |
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| 304 | |
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| 305 | typedef AlterableGraphExtender<ListGraphBase> AlterableListGraphBase; |
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| 306 | typedef IterableGraphExtender<AlterableListGraphBase> IterableListGraphBase; |
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| 307 | typedef DefaultMappableGraphExtender<IterableListGraphBase> MappableListGraphBase; |
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| 308 | typedef ExtendableGraphExtender<MappableListGraphBase> ExtendableListGraphBase; |
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| 309 | typedef ClearableGraphExtender<ExtendableListGraphBase> ClearableListGraphBase; |
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| 310 | typedef ErasableGraphExtender<ClearableListGraphBase> ErasableListGraphBase; |
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| 311 | |
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| 312 | /// \addtogroup graphs |
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| 313 | /// @{ |
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| 314 | |
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| 315 | ///A list graph class. |
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| 316 | |
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| 317 | ///This is a simple and fast erasable graph implementation. |
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| 318 | /// |
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| 319 | ///It addition that it conforms to the |
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| 320 | ///\ref concept::ErasableGraph "ErasableGraph" concept, |
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| 321 | ///it also provides several additional useful extra functionalities. |
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| 322 | ///\sa concept::ErasableGraph. |
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| 323 | |
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| 324 | class ListGraph : public ErasableListGraphBase |
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| 325 | { |
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| 326 | public: |
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| 327 | /// Changes the target of \c e to \c n |
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| 328 | |
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| 329 | /// Changes the target of \c e to \c n |
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| 330 | /// |
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| 331 | ///\note The <tt>Edge</tt>'s and <tt>OutEdge</tt>'s |
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| 332 | ///referencing the changed edge remain |
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| 333 | ///valid. However <tt>InEdge</tt>'s are invalidated. |
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| 334 | void changeTarget(Edge e, Node n) { _changeTarget(e,n); } |
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| 335 | /// Changes the source of \c e to \c n |
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| 336 | |
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| 337 | /// Changes the source of \c e to \c n |
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| 338 | /// |
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| 339 | ///\note The <tt>Edge</tt>'s and <tt>InEdge</tt>'s |
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| 340 | ///referencing the changed edge remain |
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| 341 | ///valid. However <tt>OutEdge</tt>'s are invalidated. |
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| 342 | void changeSource(Edge e, Node n) { _changeSource(e,n); } |
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| 343 | |
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| 344 | /// Invert the direction of an edge. |
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| 345 | |
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| 346 | ///\note The <tt>Edge</tt>'s |
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| 347 | ///referencing the changed edge remain |
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| 348 | ///valid. However <tt>OutEdge</tt>'s and <tt>InEdge</tt>'s are invalidated. |
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| 349 | void reverseEdge(Edge e) { |
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| 350 | Node t=target(e); |
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| 351 | _changeTarget(e,source(e)); |
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| 352 | _changeSource(e,t); |
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| 353 | } |
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| 354 | |
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| 355 | ///Using this it possible to avoid the superfluous memory allocation. |
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| 356 | |
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| 357 | ///Using this it possible to avoid the superfluous memory allocation. |
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| 358 | ///\todo more docs... |
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| 359 | void reserveEdge(int n) { edges.reserve(n); }; |
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| 360 | |
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| 361 | ///Contract two nodes. |
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| 362 | |
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| 363 | ///This function contracts two nodes. |
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| 364 | /// |
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| 365 | ///Node \p b will be removed but instead of deleting |
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| 366 | ///its neighboring edges, they will be joined to \p a. |
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| 367 | ///The last parameter \p r controls whether to remove loops. \c true |
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| 368 | ///means that loops will be removed. |
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| 369 | /// |
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| 370 | ///\note The <tt>Edge</tt>s |
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| 371 | ///referencing a moved edge remain |
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| 372 | ///valid. However <tt>InEdge</tt>'s and <tt>OutEdge</tt>'s |
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| 373 | ///may be invalidated. |
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| 374 | void contract(Node a,Node b,bool r=true) |
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| 375 | { |
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| 376 | for(OutEdgeIt e(*this,b);e!=INVALID;) { |
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| 377 | OutEdgeIt f=e; |
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| 378 | ++f; |
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| 379 | if(r && target(e)==a) erase(e); |
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| 380 | else changeSource(e,a); |
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| 381 | e=f; |
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| 382 | } |
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| 383 | for(InEdgeIt e(*this,b);e!=INVALID;) { |
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| 384 | InEdgeIt f=e; |
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| 385 | ++f; |
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| 386 | if(r && source(e)==a) erase(e); |
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| 387 | else changeTarget(e,a); |
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| 388 | e=f; |
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| 389 | } |
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| 390 | erase(b); |
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| 391 | } |
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| 392 | |
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| 393 | ///Split a node. |
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| 394 | |
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| 395 | ///This function splits a node. First a new node is added to the graph, |
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| 396 | ///then the source of each outgoing edge of \c n is moved to this new node. |
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| 397 | ///If \c connect is \c true (this is the default value), then a new edge |
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| 398 | ///from \c n to the newly created node is also added. |
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| 399 | ///\return The newly created node. |
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| 400 | /// |
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| 401 | ///\note The <tt>Edge</tt>s |
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| 402 | ///referencing a moved edge remain |
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| 403 | ///valid. However <tt>InEdge</tt>'s and <tt>OutEdge</tt>'s |
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| 404 | ///may be invalidated. |
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| 405 | ///\warning This functionality cannot be used together with the SnapShot |
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| 406 | ///feature. |
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| 407 | ///\todo It could be implemented in a bit faster way. |
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| 408 | Node split(Node n, bool connect = true) |
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| 409 | { |
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| 410 | Node b = addNode(); |
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| 411 | for(OutEdgeIt e(*this,n);e!=INVALID;) { |
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| 412 | OutEdgeIt f=e; |
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| 413 | ++f; |
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| 414 | changeSource(e,b); |
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| 415 | e=f; |
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| 416 | } |
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| 417 | if(connect) addEdge(n,b); |
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| 418 | return b; |
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| 419 | } |
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| 420 | |
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| 421 | ///Class to make a snapshot of the graph and to restrore to it later. |
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| 422 | |
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| 423 | ///Class to make a snapshot of the graph and to restrore to it later. |
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| 424 | /// |
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| 425 | ///The newly added nodes and edges can be removed using the |
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| 426 | ///restore() function. |
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| 427 | /// |
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| 428 | ///\warning Edge and node deletions cannot be restored. |
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| 429 | ///\warning SnapShots cannot be nested. |
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| 430 | ///\todo \c SnapShot or \c Snapshot? |
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| 431 | class SnapShot : protected AlterationNotifier<Node>::ObserverBase, |
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| 432 | protected AlterationNotifier<Edge>::ObserverBase |
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| 433 | { |
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| 434 | protected: |
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| 435 | |
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| 436 | ListGraph *g; |
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| 437 | std::list<Node> added_nodes; |
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| 438 | std::list<Edge> added_edges; |
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| 439 | |
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| 440 | bool active; |
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| 441 | virtual void add(const Node& n) { |
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| 442 | added_nodes.push_back(n); |
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| 443 | }; |
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| 444 | ///\bug Exception... |
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| 445 | /// |
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| 446 | virtual void erase(const Node&) |
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| 447 | { |
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| 448 | exit(1); |
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| 449 | } |
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| 450 | virtual void add(const Edge& n) { |
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| 451 | added_edges.push_back(n); |
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| 452 | }; |
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| 453 | ///\bug Exception... |
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| 454 | /// |
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| 455 | virtual void erase(const Edge&) |
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| 456 | { |
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| 457 | exit(1); |
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| 458 | } |
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| 459 | |
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| 460 | ///\bug What is this used for? |
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| 461 | /// |
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| 462 | virtual void build() {} |
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| 463 | ///\bug What is this used for? |
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| 464 | /// |
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| 465 | virtual void clear() {} |
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| 466 | |
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| 467 | void regist(ListGraph &_g) { |
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| 468 | g=&_g; |
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| 469 | AlterationNotifier<Node>::ObserverBase:: |
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| 470 | attach(g->getNotifier(Node())); |
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| 471 | AlterationNotifier<Edge>::ObserverBase:: |
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| 472 | attach(g->getNotifier(Edge())); |
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| 473 | } |
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| 474 | |
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| 475 | void deregist() { |
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| 476 | AlterationNotifier<Node>::ObserverBase:: |
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| 477 | detach(); |
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| 478 | AlterationNotifier<Edge>::ObserverBase:: |
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| 479 | detach(); |
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| 480 | g=0; |
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| 481 | } |
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| 482 | |
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| 483 | public: |
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| 484 | ///Default constructur. |
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| 485 | |
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| 486 | ///Default constructur. |
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| 487 | ///To actually make a snapshot you must call save(). |
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| 488 | /// |
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| 489 | SnapShot() : g(0) {} |
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| 490 | ///Constructor that immediately makes a snapshot. |
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| 491 | |
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| 492 | ///This constructor immediately makes a snapshot of the graph. |
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| 493 | ///\param _g The graph we make a snapshot of. |
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| 494 | SnapShot(ListGraph &_g) { |
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| 495 | regist(_g); |
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| 496 | } |
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| 497 | ///\bug Is it necessary? |
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| 498 | /// |
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| 499 | ~SnapShot() |
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| 500 | { |
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| 501 | if(g) deregist(); |
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| 502 | } |
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| 503 | |
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| 504 | ///Make a snapshot. |
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| 505 | |
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| 506 | ///Make a snapshot of the graph. |
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| 507 | /// |
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| 508 | ///This function can be called more than once. In case of a repeated |
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| 509 | ///call, the previous snapshot gets lost. |
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| 510 | ///\param _g The graph we make the snapshot of. |
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| 511 | void save(ListGraph &_g) |
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| 512 | { |
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| 513 | if(g!=&_g) { |
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| 514 | if(g) deregist(); |
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| 515 | regist(_g); |
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| 516 | } |
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| 517 | added_nodes.clear(); |
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| 518 | added_edges.clear(); |
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| 519 | } |
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| 520 | |
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| 521 | ///Undo the changes until the last snapshot. |
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| 522 | |
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| 523 | ///Undo the changes until last snapshot created by save(). |
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| 524 | /// |
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| 525 | ///\todo This function might be called undo(). |
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| 526 | void restore() { |
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| 527 | ListGraph &old_g=*g; |
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| 528 | deregist(); |
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| 529 | while(!added_edges.empty()) { |
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| 530 | old_g.erase(added_edges.front()); |
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| 531 | added_edges.pop_front(); |
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| 532 | } |
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| 533 | while(!added_nodes.empty()) { |
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| 534 | old_g.erase(added_nodes.front()); |
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| 535 | added_nodes.pop_front(); |
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| 536 | } |
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| 537 | } |
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| 538 | }; |
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| 539 | |
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| 540 | }; |
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| 541 | |
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| 542 | ///@} |
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| 543 | |
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| 544 | /**************** Undirected List Graph ****************/ |
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| 545 | |
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| 546 | typedef ErasableUndirGraphExtender< |
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| 547 | ClearableUndirGraphExtender< |
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| 548 | ExtendableUndirGraphExtender< |
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| 549 | MappableUndirGraphExtender< |
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| 550 | IterableUndirGraphExtender< |
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| 551 | AlterableUndirGraphExtender< |
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| 552 | UndirGraphExtender<ListGraphBase> > > > > > > ErasableUndirListGraphBase; |
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| 553 | |
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| 554 | /// \addtogroup graphs |
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| 555 | /// @{ |
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| 556 | |
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| 557 | ///An undirected list graph class. |
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| 558 | |
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| 559 | ///This is a simple and fast erasable undirected graph implementation. |
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| 560 | /// |
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| 561 | ///It conforms to the |
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| 562 | ///\ref concept::UndirGraph "UndirGraph" concept. |
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| 563 | /// |
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| 564 | ///\sa concept::UndirGraph. |
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| 565 | /// |
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| 566 | ///\todo SnapShot, reverseEdge(), changeTarget(), changeSource(), contract() |
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| 567 | ///haven't been implemented yet. |
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| 568 | /// |
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| 569 | class UndirListGraph : public ErasableUndirListGraphBase { |
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| 570 | }; |
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| 571 | |
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| 572 | |
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| 573 | /// @} |
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| 574 | } //namespace lemon |
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| 575 | |
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| 576 | |
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| 577 | #endif |
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