[906] | 1 | /* -*- C++ -*- |
---|
[1435] | 2 | * lemon/full_graph.h - Part of LEMON, a generic C++ optimization library |
---|
[906] | 3 | * |
---|
[1164] | 4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
---|
[1359] | 5 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
---|
[906] | 6 | * |
---|
| 7 | * Permission to use, modify and distribute this software is granted |
---|
| 8 | * provided that this copyright notice appears in all copies. For |
---|
| 9 | * precise terms see the accompanying LICENSE file. |
---|
| 10 | * |
---|
| 11 | * This software is provided "AS IS" with no warranty of any kind, |
---|
| 12 | * express or implied, and with no claim as to its suitability for any |
---|
| 13 | * purpose. |
---|
| 14 | * |
---|
| 15 | */ |
---|
[591] | 16 | |
---|
[921] | 17 | #ifndef LEMON_FULL_GRAPH_H |
---|
| 18 | #define LEMON_FULL_GRAPH_H |
---|
[591] | 19 | |
---|
[983] | 20 | #include <cmath> |
---|
| 21 | |
---|
[946] | 22 | |
---|
[1307] | 23 | #include <lemon/bits/iterable_graph_extender.h> |
---|
| 24 | #include <lemon/bits/alteration_notifier.h> |
---|
[1703] | 25 | #include <lemon/bits/static_map.h> |
---|
[1791] | 26 | #include <lemon/bits/graph_extender.h> |
---|
[1566] | 27 | |
---|
[977] | 28 | #include <lemon/invalid.h> |
---|
| 29 | #include <lemon/utility.h> |
---|
| 30 | |
---|
| 31 | |
---|
[591] | 32 | ///\ingroup graphs |
---|
| 33 | ///\file |
---|
[1692] | 34 | ///\brief FullGraph and UndirFullGraph classes. |
---|
[591] | 35 | |
---|
| 36 | |
---|
[921] | 37 | namespace lemon { |
---|
[591] | 38 | |
---|
[946] | 39 | class FullGraphBase { |
---|
[1566] | 40 | int _nodeNum; |
---|
| 41 | int _edgeNum; |
---|
[591] | 42 | public: |
---|
[782] | 43 | |
---|
[946] | 44 | typedef FullGraphBase Graph; |
---|
[591] | 45 | |
---|
| 46 | class Node; |
---|
| 47 | class Edge; |
---|
[782] | 48 | |
---|
[591] | 49 | public: |
---|
| 50 | |
---|
[946] | 51 | FullGraphBase() {} |
---|
| 52 | |
---|
| 53 | |
---|
[591] | 54 | ///Creates a full graph with \c n nodes. |
---|
[1566] | 55 | void construct(int n) { _nodeNum = n; _edgeNum = n * n; } |
---|
[591] | 56 | /// |
---|
[946] | 57 | // FullGraphBase(const FullGraphBase &_g) |
---|
[1566] | 58 | // : _nodeNum(_g.nodeNum()), _edgeNum(_nodeNum*_nodeNum) { } |
---|
[591] | 59 | |
---|
[977] | 60 | typedef True NodeNumTag; |
---|
| 61 | typedef True EdgeNumTag; |
---|
| 62 | |
---|
[813] | 63 | ///Number of nodes. |
---|
[1566] | 64 | int nodeNum() const { return _nodeNum; } |
---|
[813] | 65 | ///Number of edges. |
---|
[1566] | 66 | int edgeNum() const { return _edgeNum; } |
---|
[591] | 67 | |
---|
[813] | 68 | /// Maximum node ID. |
---|
| 69 | |
---|
| 70 | /// Maximum node ID. |
---|
| 71 | ///\sa id(Node) |
---|
[1791] | 72 | int maxNodeId() const { return _nodeNum-1; } |
---|
[813] | 73 | /// Maximum edge ID. |
---|
| 74 | |
---|
| 75 | /// Maximum edge ID. |
---|
| 76 | ///\sa id(Edge) |
---|
[1791] | 77 | int maxEdgeId() const { return _edgeNum-1; } |
---|
[591] | 78 | |
---|
[1566] | 79 | Node source(Edge e) const { return e.id % _nodeNum; } |
---|
| 80 | Node target(Edge e) const { return e.id / _nodeNum; } |
---|
[591] | 81 | |
---|
| 82 | |
---|
[813] | 83 | /// Node ID. |
---|
| 84 | |
---|
| 85 | /// The ID of a valid Node is a nonnegative integer not greater than |
---|
| 86 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
---|
| 87 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
---|
| 88 | /// |
---|
| 89 | /// The ID of the \ref INVALID node is -1. |
---|
| 90 | ///\return The ID of the node \c v. |
---|
[946] | 91 | |
---|
| 92 | static int id(Node v) { return v.id; } |
---|
[813] | 93 | /// Edge ID. |
---|
| 94 | |
---|
| 95 | /// The ID of a valid Edge is a nonnegative integer not greater than |
---|
| 96 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
---|
| 97 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
---|
| 98 | /// |
---|
| 99 | /// The ID of the \ref INVALID edge is -1. |
---|
| 100 | ///\return The ID of the edge \c e. |
---|
[946] | 101 | static int id(Edge e) { return e.id; } |
---|
[591] | 102 | |
---|
[1791] | 103 | static Node nodeFromId(int id) { return Node(id);} |
---|
[1106] | 104 | |
---|
[1791] | 105 | static Edge edgeFromId(int id) { return Edge(id);} |
---|
[1106] | 106 | |
---|
[1566] | 107 | typedef True FindEdgeTag; |
---|
| 108 | |
---|
[774] | 109 | /// Finds an edge between two nodes. |
---|
| 110 | |
---|
| 111 | /// Finds an edge from node \c u to node \c v. |
---|
| 112 | /// |
---|
| 113 | /// If \c prev is \ref INVALID (this is the default value), then |
---|
| 114 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
---|
| 115 | /// the next edge from \c u to \c v after \c prev. |
---|
| 116 | /// \return The found edge or INVALID if there is no such an edge. |
---|
[1566] | 117 | Edge findEdge(Node u,Node v, Edge prev = INVALID) const { |
---|
[946] | 118 | return prev.id == -1 ? Edge(*this, u.id, v.id) : INVALID; |
---|
[774] | 119 | } |
---|
| 120 | |
---|
| 121 | |
---|
[591] | 122 | class Node { |
---|
[946] | 123 | friend class FullGraphBase; |
---|
[591] | 124 | |
---|
| 125 | protected: |
---|
[946] | 126 | int id; |
---|
[1643] | 127 | Node(int _id) : id(_id) {} |
---|
[591] | 128 | public: |
---|
| 129 | Node() {} |
---|
[1643] | 130 | Node (Invalid) : id(-1) {} |
---|
[946] | 131 | bool operator==(const Node node) const {return id == node.id;} |
---|
| 132 | bool operator!=(const Node node) const {return id != node.id;} |
---|
| 133 | bool operator<(const Node node) const {return id < node.id;} |
---|
[591] | 134 | }; |
---|
| 135 | |
---|
[946] | 136 | |
---|
| 137 | |
---|
| 138 | class Edge { |
---|
| 139 | friend class FullGraphBase; |
---|
| 140 | |
---|
| 141 | protected: |
---|
[1566] | 142 | int id; // _nodeNum * target + source; |
---|
[946] | 143 | |
---|
| 144 | Edge(int _id) : id(_id) {} |
---|
| 145 | |
---|
[986] | 146 | Edge(const FullGraphBase& _graph, int source, int target) |
---|
[1566] | 147 | : id(_graph._nodeNum * target+source) {} |
---|
[591] | 148 | public: |
---|
[946] | 149 | Edge() { } |
---|
| 150 | Edge (Invalid) { id = -1; } |
---|
| 151 | bool operator==(const Edge edge) const {return id == edge.id;} |
---|
| 152 | bool operator!=(const Edge edge) const {return id != edge.id;} |
---|
| 153 | bool operator<(const Edge edge) const {return id < edge.id;} |
---|
[591] | 154 | }; |
---|
| 155 | |
---|
[946] | 156 | void first(Node& node) const { |
---|
[1566] | 157 | node.id = _nodeNum-1; |
---|
[946] | 158 | } |
---|
[591] | 159 | |
---|
[946] | 160 | static void next(Node& node) { |
---|
| 161 | --node.id; |
---|
| 162 | } |
---|
| 163 | |
---|
| 164 | void first(Edge& edge) const { |
---|
[1566] | 165 | edge.id = _edgeNum-1; |
---|
[946] | 166 | } |
---|
| 167 | |
---|
| 168 | static void next(Edge& edge) { |
---|
| 169 | --edge.id; |
---|
| 170 | } |
---|
| 171 | |
---|
| 172 | void firstOut(Edge& edge, const Node& node) const { |
---|
[1566] | 173 | edge.id = _edgeNum + node.id - _nodeNum; |
---|
[946] | 174 | } |
---|
| 175 | |
---|
| 176 | void nextOut(Edge& edge) const { |
---|
[1566] | 177 | edge.id -= _nodeNum; |
---|
[946] | 178 | if (edge.id < 0) edge.id = -1; |
---|
| 179 | } |
---|
| 180 | |
---|
| 181 | void firstIn(Edge& edge, const Node& node) const { |
---|
[1566] | 182 | edge.id = node.id * _nodeNum; |
---|
[946] | 183 | } |
---|
[591] | 184 | |
---|
[946] | 185 | void nextIn(Edge& edge) const { |
---|
| 186 | ++edge.id; |
---|
[1566] | 187 | if (edge.id % _nodeNum == 0) edge.id = -1; |
---|
[946] | 188 | } |
---|
[591] | 189 | |
---|
| 190 | }; |
---|
| 191 | |
---|
[1703] | 192 | typedef StaticMappableGraphExtender< |
---|
[1669] | 193 | IterableGraphExtender< |
---|
[1791] | 194 | AlterableGraphExtender< |
---|
| 195 | GraphExtender<FullGraphBase> > > > ExtendedFullGraphBase; |
---|
[946] | 196 | |
---|
[1566] | 197 | /// \ingroup graphs |
---|
[951] | 198 | /// |
---|
[1566] | 199 | /// \brief A full graph class. |
---|
| 200 | /// |
---|
| 201 | /// This is a simple and fast directed full graph implementation. |
---|
| 202 | /// It is completely static, so you can neither add nor delete either |
---|
| 203 | /// edges or nodes. |
---|
| 204 | /// Thus it conforms to |
---|
| 205 | /// the \ref concept::StaticGraph "StaticGraph" concept |
---|
| 206 | /// \sa concept::StaticGraph. |
---|
| 207 | /// |
---|
| 208 | /// \author Alpar Juttner |
---|
[1669] | 209 | class FullGraph : public ExtendedFullGraphBase { |
---|
[946] | 210 | public: |
---|
| 211 | |
---|
| 212 | FullGraph(int n) { construct(n); } |
---|
| 213 | }; |
---|
| 214 | |
---|
[983] | 215 | |
---|
| 216 | class UndirFullGraphBase { |
---|
[1566] | 217 | int _nodeNum; |
---|
| 218 | int _edgeNum; |
---|
[983] | 219 | public: |
---|
| 220 | |
---|
[984] | 221 | typedef UndirFullGraphBase Graph; |
---|
[983] | 222 | |
---|
| 223 | class Node; |
---|
| 224 | class Edge; |
---|
| 225 | |
---|
| 226 | public: |
---|
| 227 | |
---|
[984] | 228 | UndirFullGraphBase() {} |
---|
[983] | 229 | |
---|
| 230 | |
---|
| 231 | ///Creates a full graph with \c n nodes. |
---|
[1566] | 232 | void construct(int n) { _nodeNum = n; _edgeNum = n * (n - 1) / 2; } |
---|
[983] | 233 | /// |
---|
| 234 | // FullGraphBase(const FullGraphBase &_g) |
---|
[1566] | 235 | // : _nodeNum(_g.nodeNum()), _edgeNum(_nodeNum*_nodeNum) { } |
---|
[983] | 236 | |
---|
| 237 | typedef True NodeNumTag; |
---|
| 238 | typedef True EdgeNumTag; |
---|
| 239 | |
---|
| 240 | ///Number of nodes. |
---|
[1566] | 241 | int nodeNum() const { return _nodeNum; } |
---|
[983] | 242 | ///Number of edges. |
---|
[1566] | 243 | int edgeNum() const { return _edgeNum; } |
---|
[983] | 244 | |
---|
| 245 | /// Maximum node ID. |
---|
| 246 | |
---|
| 247 | /// Maximum node ID. |
---|
| 248 | ///\sa id(Node) |
---|
[1791] | 249 | int maxNodeId() const { return _nodeNum-1; } |
---|
[983] | 250 | /// Maximum edge ID. |
---|
| 251 | |
---|
| 252 | /// Maximum edge ID. |
---|
| 253 | ///\sa id(Edge) |
---|
[1791] | 254 | int maxEdgeId() const { return _edgeNum-1; } |
---|
[983] | 255 | |
---|
[986] | 256 | Node source(Edge e) const { |
---|
[983] | 257 | /// \todo we may do it faster |
---|
[1643] | 258 | return Node(((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2); |
---|
[983] | 259 | } |
---|
| 260 | |
---|
[986] | 261 | Node target(Edge e) const { |
---|
| 262 | int source = ((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2;; |
---|
[1643] | 263 | return Node(e.id - (source) * (source - 1) / 2); |
---|
[983] | 264 | } |
---|
| 265 | |
---|
| 266 | |
---|
| 267 | /// Node ID. |
---|
| 268 | |
---|
| 269 | /// The ID of a valid Node is a nonnegative integer not greater than |
---|
| 270 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
---|
| 271 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
---|
| 272 | /// |
---|
| 273 | /// The ID of the \ref INVALID node is -1. |
---|
| 274 | ///\return The ID of the node \c v. |
---|
| 275 | |
---|
| 276 | static int id(Node v) { return v.id; } |
---|
| 277 | /// Edge ID. |
---|
| 278 | |
---|
| 279 | /// The ID of a valid Edge is a nonnegative integer not greater than |
---|
| 280 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
---|
| 281 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
---|
| 282 | /// |
---|
| 283 | /// The ID of the \ref INVALID edge is -1. |
---|
| 284 | ///\return The ID of the edge \c e. |
---|
| 285 | static int id(Edge e) { return e.id; } |
---|
| 286 | |
---|
| 287 | /// Finds an edge between two nodes. |
---|
| 288 | |
---|
| 289 | /// Finds an edge from node \c u to node \c v. |
---|
| 290 | /// |
---|
| 291 | /// If \c prev is \ref INVALID (this is the default value), then |
---|
| 292 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
---|
| 293 | /// the next edge from \c u to \c v after \c prev. |
---|
| 294 | /// \return The found edge or INVALID if there is no such an edge. |
---|
[1703] | 295 | Edge findEdge(Node u, Node v, Edge prev = INVALID) const { |
---|
| 296 | if (prev.id != -1 || u.id <= v.id) return -1; |
---|
| 297 | return Edge(u.id * (u.id - 1) / 2 + v.id); |
---|
[983] | 298 | } |
---|
[1703] | 299 | |
---|
| 300 | typedef True FindEdgeTag; |
---|
[983] | 301 | |
---|
| 302 | |
---|
| 303 | class Node { |
---|
[985] | 304 | friend class UndirFullGraphBase; |
---|
[983] | 305 | |
---|
| 306 | protected: |
---|
| 307 | int id; |
---|
| 308 | Node(int _id) { id = _id;} |
---|
| 309 | public: |
---|
| 310 | Node() {} |
---|
| 311 | Node (Invalid) { id = -1; } |
---|
| 312 | bool operator==(const Node node) const {return id == node.id;} |
---|
| 313 | bool operator!=(const Node node) const {return id != node.id;} |
---|
| 314 | bool operator<(const Node node) const {return id < node.id;} |
---|
| 315 | }; |
---|
| 316 | |
---|
| 317 | |
---|
| 318 | |
---|
| 319 | class Edge { |
---|
[985] | 320 | friend class UndirFullGraphBase; |
---|
[983] | 321 | |
---|
| 322 | protected: |
---|
[1566] | 323 | int id; // _nodeNum * target + source; |
---|
[983] | 324 | |
---|
| 325 | Edge(int _id) : id(_id) {} |
---|
| 326 | |
---|
| 327 | public: |
---|
| 328 | Edge() { } |
---|
| 329 | Edge (Invalid) { id = -1; } |
---|
| 330 | bool operator==(const Edge edge) const {return id == edge.id;} |
---|
| 331 | bool operator!=(const Edge edge) const {return id != edge.id;} |
---|
| 332 | bool operator<(const Edge edge) const {return id < edge.id;} |
---|
| 333 | }; |
---|
| 334 | |
---|
| 335 | void first(Node& node) const { |
---|
[1703] | 336 | node.id = _nodeNum - 1; |
---|
[983] | 337 | } |
---|
| 338 | |
---|
| 339 | static void next(Node& node) { |
---|
| 340 | --node.id; |
---|
| 341 | } |
---|
| 342 | |
---|
| 343 | void first(Edge& edge) const { |
---|
[1703] | 344 | edge.id = _edgeNum - 1; |
---|
[983] | 345 | } |
---|
| 346 | |
---|
| 347 | static void next(Edge& edge) { |
---|
| 348 | --edge.id; |
---|
| 349 | } |
---|
| 350 | |
---|
| 351 | void firstOut(Edge& edge, const Node& node) const { |
---|
[1703] | 352 | int src = node.id; |
---|
| 353 | int trg = 0; |
---|
| 354 | edge.id = (trg < src ? src * (src - 1) / 2 + trg : -1); |
---|
[983] | 355 | } |
---|
| 356 | |
---|
| 357 | /// \todo with specialized iterators we can make faster iterating |
---|
[1703] | 358 | void nextOut(Edge& edge) const { |
---|
| 359 | int src = source(edge).id; |
---|
| 360 | int trg = target(edge).id; |
---|
| 361 | ++trg; |
---|
| 362 | edge.id = (trg < src ? src * (src - 1) / 2 + trg : -1); |
---|
[983] | 363 | } |
---|
| 364 | |
---|
| 365 | void firstIn(Edge& edge, const Node& node) const { |
---|
[1703] | 366 | int src = node.id + 1; |
---|
| 367 | int trg = node.id; |
---|
| 368 | edge.id = (src < _nodeNum ? src * (src - 1) / 2 + trg : -1); |
---|
[983] | 369 | } |
---|
| 370 | |
---|
[1703] | 371 | void nextIn(Edge& edge) const { |
---|
| 372 | int src = source(edge).id; |
---|
| 373 | int trg = target(edge).id; |
---|
| 374 | ++src; |
---|
| 375 | edge.id = (src < _nodeNum ? src * (src - 1) / 2 + trg : -1); |
---|
[983] | 376 | } |
---|
| 377 | |
---|
| 378 | }; |
---|
| 379 | |
---|
[1703] | 380 | typedef StaticMappableUndirGraphExtender< |
---|
[1669] | 381 | IterableUndirGraphExtender< |
---|
| 382 | AlterableUndirGraphExtender< |
---|
| 383 | UndirGraphExtender<UndirFullGraphBase> > > > ExtendedUndirFullGraphBase; |
---|
[1555] | 384 | |
---|
[1566] | 385 | /// \ingroup graphs |
---|
| 386 | /// |
---|
| 387 | /// \brief An undirected full graph class. |
---|
| 388 | /// |
---|
[1726] | 389 | /// This is a simple and fast undirected full graph implementation. |
---|
[1566] | 390 | /// It is completely static, so you can neither add nor delete either |
---|
| 391 | /// edges or nodes. |
---|
| 392 | /// |
---|
| 393 | /// The main difference beetween the \e FullGraph and \e UndirFullGraph class |
---|
| 394 | /// is that this class conforms to the undirected graph concept and |
---|
[1726] | 395 | /// it does not contain the loop edges. |
---|
[1566] | 396 | /// |
---|
| 397 | /// \sa FullGraph |
---|
| 398 | /// |
---|
| 399 | /// \author Balazs Dezso |
---|
[1669] | 400 | class UndirFullGraph : public ExtendedUndirFullGraphBase { |
---|
[1566] | 401 | public: |
---|
| 402 | UndirFullGraph(int n) { construct(n); } |
---|
| 403 | }; |
---|
[591] | 404 | |
---|
[921] | 405 | } //namespace lemon |
---|
[591] | 406 | |
---|
| 407 | |
---|
[921] | 408 | #endif //LEMON_FULL_GRAPH_H |
---|