[468] | 1 | /* -*- mode: C++; indent-tabs-mode: nil; -*- |
---|
| 2 | * |
---|
| 3 | * This file is a part of LEMON, a generic C++ optimization library. |
---|
| 4 | * |
---|
| 5 | * Copyright (C) 2003-2008 |
---|
| 6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
---|
| 7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
---|
| 8 | * |
---|
| 9 | * Permission to use, modify and distribute this software is granted |
---|
| 10 | * provided that this copyright notice appears in all copies. For |
---|
| 11 | * precise terms see the accompanying LICENSE file. |
---|
| 12 | * |
---|
| 13 | * This software is provided "AS IS" with no warranty of any kind, |
---|
| 14 | * express or implied, and with no claim as to its suitability for any |
---|
| 15 | * purpose. |
---|
| 16 | * |
---|
| 17 | */ |
---|
| 18 | |
---|
| 19 | #ifndef LEMON_EDGE_SET_H |
---|
| 20 | #define LEMON_EDGE_SET_H |
---|
| 21 | |
---|
| 22 | #include <lemon/core.h> |
---|
| 23 | #include <lemon/bits/edge_set_extender.h> |
---|
| 24 | |
---|
[660] | 25 | /// \ingroup graphs |
---|
[468] | 26 | /// \file |
---|
| 27 | /// \brief ArcSet and EdgeSet classes. |
---|
| 28 | /// |
---|
| 29 | /// Graphs which use another graph's node-set as own. |
---|
| 30 | namespace lemon { |
---|
| 31 | |
---|
[512] | 32 | template <typename GR> |
---|
[468] | 33 | class ListArcSetBase { |
---|
| 34 | public: |
---|
| 35 | |
---|
[512] | 36 | typedef typename GR::Node Node; |
---|
| 37 | typedef typename GR::NodeIt NodeIt; |
---|
[468] | 38 | |
---|
| 39 | protected: |
---|
| 40 | |
---|
| 41 | struct NodeT { |
---|
| 42 | int first_out, first_in; |
---|
| 43 | NodeT() : first_out(-1), first_in(-1) {} |
---|
| 44 | }; |
---|
| 45 | |
---|
[512] | 46 | typedef typename ItemSetTraits<GR, Node>:: |
---|
[468] | 47 | template Map<NodeT>::Type NodesImplBase; |
---|
| 48 | |
---|
[512] | 49 | NodesImplBase* _nodes; |
---|
[468] | 50 | |
---|
| 51 | struct ArcT { |
---|
| 52 | Node source, target; |
---|
| 53 | int next_out, next_in; |
---|
| 54 | int prev_out, prev_in; |
---|
| 55 | ArcT() : prev_out(-1), prev_in(-1) {} |
---|
| 56 | }; |
---|
| 57 | |
---|
| 58 | std::vector<ArcT> arcs; |
---|
| 59 | |
---|
| 60 | int first_arc; |
---|
| 61 | int first_free_arc; |
---|
| 62 | |
---|
[512] | 63 | const GR* _graph; |
---|
[468] | 64 | |
---|
[512] | 65 | void initalize(const GR& graph, NodesImplBase& nodes) { |
---|
| 66 | _graph = &graph; |
---|
| 67 | _nodes = &nodes; |
---|
[468] | 68 | } |
---|
| 69 | |
---|
| 70 | public: |
---|
| 71 | |
---|
| 72 | class Arc { |
---|
[512] | 73 | friend class ListArcSetBase<GR>; |
---|
[468] | 74 | protected: |
---|
| 75 | Arc(int _id) : id(_id) {} |
---|
| 76 | int id; |
---|
| 77 | public: |
---|
| 78 | Arc() {} |
---|
| 79 | Arc(Invalid) : id(-1) {} |
---|
| 80 | bool operator==(const Arc& arc) const { return id == arc.id; } |
---|
| 81 | bool operator!=(const Arc& arc) const { return id != arc.id; } |
---|
| 82 | bool operator<(const Arc& arc) const { return id < arc.id; } |
---|
| 83 | }; |
---|
| 84 | |
---|
| 85 | ListArcSetBase() : first_arc(-1), first_free_arc(-1) {} |
---|
| 86 | |
---|
[670] | 87 | Node addNode() { |
---|
| 88 | LEMON_ASSERT(false, |
---|
| 89 | "This graph structure does not support node insertion"); |
---|
| 90 | return INVALID; // avoid warning |
---|
| 91 | } |
---|
| 92 | |
---|
[468] | 93 | Arc addArc(const Node& u, const Node& v) { |
---|
| 94 | int n; |
---|
| 95 | if (first_free_arc == -1) { |
---|
| 96 | n = arcs.size(); |
---|
| 97 | arcs.push_back(ArcT()); |
---|
| 98 | } else { |
---|
| 99 | n = first_free_arc; |
---|
| 100 | first_free_arc = arcs[first_free_arc].next_in; |
---|
| 101 | } |
---|
[512] | 102 | arcs[n].next_in = (*_nodes)[v].first_in; |
---|
| 103 | if ((*_nodes)[v].first_in != -1) { |
---|
| 104 | arcs[(*_nodes)[v].first_in].prev_in = n; |
---|
[468] | 105 | } |
---|
[512] | 106 | (*_nodes)[v].first_in = n; |
---|
| 107 | arcs[n].next_out = (*_nodes)[u].first_out; |
---|
| 108 | if ((*_nodes)[u].first_out != -1) { |
---|
| 109 | arcs[(*_nodes)[u].first_out].prev_out = n; |
---|
[468] | 110 | } |
---|
[512] | 111 | (*_nodes)[u].first_out = n; |
---|
[468] | 112 | arcs[n].source = u; |
---|
| 113 | arcs[n].target = v; |
---|
| 114 | return Arc(n); |
---|
| 115 | } |
---|
| 116 | |
---|
| 117 | void erase(const Arc& arc) { |
---|
| 118 | int n = arc.id; |
---|
| 119 | if (arcs[n].prev_in != -1) { |
---|
| 120 | arcs[arcs[n].prev_in].next_in = arcs[n].next_in; |
---|
| 121 | } else { |
---|
[512] | 122 | (*_nodes)[arcs[n].target].first_in = arcs[n].next_in; |
---|
[468] | 123 | } |
---|
| 124 | if (arcs[n].next_in != -1) { |
---|
| 125 | arcs[arcs[n].next_in].prev_in = arcs[n].prev_in; |
---|
| 126 | } |
---|
| 127 | |
---|
| 128 | if (arcs[n].prev_out != -1) { |
---|
| 129 | arcs[arcs[n].prev_out].next_out = arcs[n].next_out; |
---|
| 130 | } else { |
---|
[512] | 131 | (*_nodes)[arcs[n].source].first_out = arcs[n].next_out; |
---|
[468] | 132 | } |
---|
| 133 | if (arcs[n].next_out != -1) { |
---|
| 134 | arcs[arcs[n].next_out].prev_out = arcs[n].prev_out; |
---|
| 135 | } |
---|
| 136 | |
---|
| 137 | } |
---|
| 138 | |
---|
| 139 | void clear() { |
---|
| 140 | Node node; |
---|
| 141 | for (first(node); node != INVALID; next(node)) { |
---|
[512] | 142 | (*_nodes)[node].first_in = -1; |
---|
| 143 | (*_nodes)[node].first_out = -1; |
---|
[468] | 144 | } |
---|
| 145 | arcs.clear(); |
---|
| 146 | first_arc = -1; |
---|
| 147 | first_free_arc = -1; |
---|
| 148 | } |
---|
| 149 | |
---|
| 150 | void first(Node& node) const { |
---|
[512] | 151 | _graph->first(node); |
---|
[468] | 152 | } |
---|
| 153 | |
---|
| 154 | void next(Node& node) const { |
---|
[512] | 155 | _graph->next(node); |
---|
[468] | 156 | } |
---|
| 157 | |
---|
| 158 | void first(Arc& arc) const { |
---|
| 159 | Node node; |
---|
| 160 | first(node); |
---|
[512] | 161 | while (node != INVALID && (*_nodes)[node].first_in == -1) { |
---|
[468] | 162 | next(node); |
---|
| 163 | } |
---|
[512] | 164 | arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_in; |
---|
[468] | 165 | } |
---|
| 166 | |
---|
| 167 | void next(Arc& arc) const { |
---|
| 168 | if (arcs[arc.id].next_in != -1) { |
---|
| 169 | arc.id = arcs[arc.id].next_in; |
---|
| 170 | } else { |
---|
| 171 | Node node = arcs[arc.id].target; |
---|
| 172 | next(node); |
---|
[512] | 173 | while (node != INVALID && (*_nodes)[node].first_in == -1) { |
---|
[468] | 174 | next(node); |
---|
| 175 | } |
---|
[512] | 176 | arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_in; |
---|
[468] | 177 | } |
---|
| 178 | } |
---|
| 179 | |
---|
| 180 | void firstOut(Arc& arc, const Node& node) const { |
---|
[512] | 181 | arc.id = (*_nodes)[node].first_out; |
---|
[468] | 182 | } |
---|
| 183 | |
---|
| 184 | void nextOut(Arc& arc) const { |
---|
| 185 | arc.id = arcs[arc.id].next_out; |
---|
| 186 | } |
---|
| 187 | |
---|
| 188 | void firstIn(Arc& arc, const Node& node) const { |
---|
[512] | 189 | arc.id = (*_nodes)[node].first_in; |
---|
[468] | 190 | } |
---|
| 191 | |
---|
| 192 | void nextIn(Arc& arc) const { |
---|
| 193 | arc.id = arcs[arc.id].next_in; |
---|
| 194 | } |
---|
| 195 | |
---|
[512] | 196 | int id(const Node& node) const { return _graph->id(node); } |
---|
[468] | 197 | int id(const Arc& arc) const { return arc.id; } |
---|
| 198 | |
---|
[512] | 199 | Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); } |
---|
[468] | 200 | Arc arcFromId(int ix) const { return Arc(ix); } |
---|
| 201 | |
---|
[512] | 202 | int maxNodeId() const { return _graph->maxNodeId(); }; |
---|
[468] | 203 | int maxArcId() const { return arcs.size() - 1; } |
---|
| 204 | |
---|
| 205 | Node source(const Arc& arc) const { return arcs[arc.id].source;} |
---|
| 206 | Node target(const Arc& arc) const { return arcs[arc.id].target;} |
---|
| 207 | |
---|
[512] | 208 | typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
---|
[468] | 209 | |
---|
| 210 | NodeNotifier& notifier(Node) const { |
---|
[512] | 211 | return _graph->notifier(Node()); |
---|
[468] | 212 | } |
---|
| 213 | |
---|
[512] | 214 | template <typename V> |
---|
| 215 | class NodeMap : public GR::template NodeMap<V> { |
---|
[617] | 216 | typedef typename GR::template NodeMap<V> Parent; |
---|
| 217 | |
---|
[468] | 218 | public: |
---|
| 219 | |
---|
[512] | 220 | explicit NodeMap(const ListArcSetBase<GR>& arcset) |
---|
| 221 | : Parent(*arcset._graph) {} |
---|
[468] | 222 | |
---|
[512] | 223 | NodeMap(const ListArcSetBase<GR>& arcset, const V& value) |
---|
| 224 | : Parent(*arcset._graph, value) {} |
---|
[468] | 225 | |
---|
| 226 | NodeMap& operator=(const NodeMap& cmap) { |
---|
| 227 | return operator=<NodeMap>(cmap); |
---|
| 228 | } |
---|
| 229 | |
---|
| 230 | template <typename CMap> |
---|
| 231 | NodeMap& operator=(const CMap& cmap) { |
---|
| 232 | Parent::operator=(cmap); |
---|
| 233 | return *this; |
---|
| 234 | } |
---|
| 235 | }; |
---|
| 236 | |
---|
| 237 | }; |
---|
| 238 | |
---|
[660] | 239 | /// \ingroup graphs |
---|
[468] | 240 | /// |
---|
| 241 | /// \brief Digraph using a node set of another digraph or graph and |
---|
| 242 | /// an own arc set. |
---|
| 243 | /// |
---|
| 244 | /// This structure can be used to establish another directed graph |
---|
| 245 | /// over a node set of an existing one. This class uses the same |
---|
| 246 | /// Node type as the underlying graph, and each valid node of the |
---|
| 247 | /// original graph is valid in this arc set, therefore the node |
---|
| 248 | /// objects of the original graph can be used directly with this |
---|
| 249 | /// class. The node handling functions (id handling, observing, and |
---|
| 250 | /// iterators) works equivalently as in the original graph. |
---|
| 251 | /// |
---|
| 252 | /// This implementation is based on doubly-linked lists, from each |
---|
| 253 | /// node the outgoing and the incoming arcs make up lists, therefore |
---|
| 254 | /// one arc can be erased in constant time. It also makes possible, |
---|
| 255 | /// that node can be removed from the underlying graph, in this case |
---|
| 256 | /// all arcs incident to the given node is erased from the arc set. |
---|
| 257 | /// |
---|
[512] | 258 | /// \param GR The type of the graph which shares its node set with |
---|
[468] | 259 | /// this class. Its interface must conform to the |
---|
| 260 | /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph" |
---|
| 261 | /// concept. |
---|
| 262 | /// |
---|
[559] | 263 | /// This class fully conforms to the \ref concepts::Digraph |
---|
[468] | 264 | /// "Digraph" concept. |
---|
[512] | 265 | template <typename GR> |
---|
| 266 | class ListArcSet : public ArcSetExtender<ListArcSetBase<GR> > { |
---|
[617] | 267 | typedef ArcSetExtender<ListArcSetBase<GR> > Parent; |
---|
[468] | 268 | |
---|
| 269 | public: |
---|
| 270 | |
---|
| 271 | typedef typename Parent::Node Node; |
---|
| 272 | typedef typename Parent::Arc Arc; |
---|
| 273 | |
---|
| 274 | typedef typename Parent::NodesImplBase NodesImplBase; |
---|
| 275 | |
---|
| 276 | void eraseNode(const Node& node) { |
---|
| 277 | Arc arc; |
---|
| 278 | Parent::firstOut(arc, node); |
---|
| 279 | while (arc != INVALID ) { |
---|
| 280 | erase(arc); |
---|
| 281 | Parent::firstOut(arc, node); |
---|
| 282 | } |
---|
| 283 | |
---|
| 284 | Parent::firstIn(arc, node); |
---|
| 285 | while (arc != INVALID ) { |
---|
| 286 | erase(arc); |
---|
| 287 | Parent::firstIn(arc, node); |
---|
| 288 | } |
---|
| 289 | } |
---|
| 290 | |
---|
| 291 | void clearNodes() { |
---|
| 292 | Parent::clear(); |
---|
| 293 | } |
---|
| 294 | |
---|
| 295 | class NodesImpl : public NodesImplBase { |
---|
| 296 | typedef NodesImplBase Parent; |
---|
| 297 | |
---|
[617] | 298 | public: |
---|
[512] | 299 | NodesImpl(const GR& graph, ListArcSet& arcset) |
---|
[468] | 300 | : Parent(graph), _arcset(arcset) {} |
---|
| 301 | |
---|
| 302 | virtual ~NodesImpl() {} |
---|
| 303 | |
---|
| 304 | protected: |
---|
| 305 | |
---|
| 306 | virtual void erase(const Node& node) { |
---|
| 307 | _arcset.eraseNode(node); |
---|
| 308 | Parent::erase(node); |
---|
| 309 | } |
---|
| 310 | virtual void erase(const std::vector<Node>& nodes) { |
---|
| 311 | for (int i = 0; i < int(nodes.size()); ++i) { |
---|
| 312 | _arcset.eraseNode(nodes[i]); |
---|
| 313 | } |
---|
| 314 | Parent::erase(nodes); |
---|
| 315 | } |
---|
| 316 | virtual void clear() { |
---|
| 317 | _arcset.clearNodes(); |
---|
| 318 | Parent::clear(); |
---|
| 319 | } |
---|
| 320 | |
---|
| 321 | private: |
---|
| 322 | ListArcSet& _arcset; |
---|
| 323 | }; |
---|
| 324 | |
---|
[512] | 325 | NodesImpl _nodes; |
---|
[468] | 326 | |
---|
| 327 | public: |
---|
| 328 | |
---|
| 329 | /// \brief Constructor of the ArcSet. |
---|
| 330 | /// |
---|
| 331 | /// Constructor of the ArcSet. |
---|
[512] | 332 | ListArcSet(const GR& graph) : _nodes(graph, *this) { |
---|
| 333 | Parent::initalize(graph, _nodes); |
---|
[468] | 334 | } |
---|
| 335 | |
---|
| 336 | /// \brief Add a new arc to the digraph. |
---|
| 337 | /// |
---|
| 338 | /// Add a new arc to the digraph with source node \c s |
---|
| 339 | /// and target node \c t. |
---|
[559] | 340 | /// \return The new arc. |
---|
[468] | 341 | Arc addArc(const Node& s, const Node& t) { |
---|
| 342 | return Parent::addArc(s, t); |
---|
| 343 | } |
---|
| 344 | |
---|
| 345 | /// \brief Erase an arc from the digraph. |
---|
| 346 | /// |
---|
| 347 | /// Erase an arc \c a from the digraph. |
---|
| 348 | void erase(const Arc& a) { |
---|
| 349 | return Parent::erase(a); |
---|
| 350 | } |
---|
| 351 | |
---|
| 352 | }; |
---|
| 353 | |
---|
[512] | 354 | template <typename GR> |
---|
[468] | 355 | class ListEdgeSetBase { |
---|
| 356 | public: |
---|
| 357 | |
---|
[512] | 358 | typedef typename GR::Node Node; |
---|
| 359 | typedef typename GR::NodeIt NodeIt; |
---|
[468] | 360 | |
---|
| 361 | protected: |
---|
| 362 | |
---|
| 363 | struct NodeT { |
---|
| 364 | int first_out; |
---|
| 365 | NodeT() : first_out(-1) {} |
---|
| 366 | }; |
---|
| 367 | |
---|
[512] | 368 | typedef typename ItemSetTraits<GR, Node>:: |
---|
[468] | 369 | template Map<NodeT>::Type NodesImplBase; |
---|
| 370 | |
---|
[512] | 371 | NodesImplBase* _nodes; |
---|
[468] | 372 | |
---|
| 373 | struct ArcT { |
---|
| 374 | Node target; |
---|
| 375 | int prev_out, next_out; |
---|
| 376 | ArcT() : prev_out(-1), next_out(-1) {} |
---|
| 377 | }; |
---|
| 378 | |
---|
| 379 | std::vector<ArcT> arcs; |
---|
| 380 | |
---|
| 381 | int first_arc; |
---|
| 382 | int first_free_arc; |
---|
| 383 | |
---|
[512] | 384 | const GR* _graph; |
---|
[468] | 385 | |
---|
[512] | 386 | void initalize(const GR& graph, NodesImplBase& nodes) { |
---|
| 387 | _graph = &graph; |
---|
| 388 | _nodes = &nodes; |
---|
[468] | 389 | } |
---|
| 390 | |
---|
| 391 | public: |
---|
| 392 | |
---|
| 393 | class Edge { |
---|
| 394 | friend class ListEdgeSetBase; |
---|
| 395 | protected: |
---|
| 396 | |
---|
| 397 | int id; |
---|
| 398 | explicit Edge(int _id) { id = _id;} |
---|
| 399 | |
---|
| 400 | public: |
---|
| 401 | Edge() {} |
---|
| 402 | Edge (Invalid) { id = -1; } |
---|
| 403 | bool operator==(const Edge& arc) const {return id == arc.id;} |
---|
| 404 | bool operator!=(const Edge& arc) const {return id != arc.id;} |
---|
| 405 | bool operator<(const Edge& arc) const {return id < arc.id;} |
---|
| 406 | }; |
---|
| 407 | |
---|
| 408 | class Arc { |
---|
| 409 | friend class ListEdgeSetBase; |
---|
| 410 | protected: |
---|
| 411 | Arc(int _id) : id(_id) {} |
---|
| 412 | int id; |
---|
| 413 | public: |
---|
| 414 | operator Edge() const { return edgeFromId(id / 2); } |
---|
| 415 | |
---|
| 416 | Arc() {} |
---|
| 417 | Arc(Invalid) : id(-1) {} |
---|
| 418 | bool operator==(const Arc& arc) const { return id == arc.id; } |
---|
| 419 | bool operator!=(const Arc& arc) const { return id != arc.id; } |
---|
| 420 | bool operator<(const Arc& arc) const { return id < arc.id; } |
---|
| 421 | }; |
---|
| 422 | |
---|
| 423 | ListEdgeSetBase() : first_arc(-1), first_free_arc(-1) {} |
---|
| 424 | |
---|
[670] | 425 | Node addNode() { |
---|
| 426 | LEMON_ASSERT(false, |
---|
| 427 | "This graph structure does not support node insertion"); |
---|
| 428 | return INVALID; // avoid warning |
---|
| 429 | } |
---|
| 430 | |
---|
[468] | 431 | Edge addEdge(const Node& u, const Node& v) { |
---|
| 432 | int n; |
---|
| 433 | |
---|
| 434 | if (first_free_arc == -1) { |
---|
| 435 | n = arcs.size(); |
---|
| 436 | arcs.push_back(ArcT()); |
---|
| 437 | arcs.push_back(ArcT()); |
---|
| 438 | } else { |
---|
| 439 | n = first_free_arc; |
---|
| 440 | first_free_arc = arcs[n].next_out; |
---|
| 441 | } |
---|
| 442 | |
---|
| 443 | arcs[n].target = u; |
---|
| 444 | arcs[n | 1].target = v; |
---|
| 445 | |
---|
[512] | 446 | arcs[n].next_out = (*_nodes)[v].first_out; |
---|
| 447 | if ((*_nodes)[v].first_out != -1) { |
---|
| 448 | arcs[(*_nodes)[v].first_out].prev_out = n; |
---|
[468] | 449 | } |
---|
[512] | 450 | (*_nodes)[v].first_out = n; |
---|
[468] | 451 | arcs[n].prev_out = -1; |
---|
| 452 | |
---|
[512] | 453 | if ((*_nodes)[u].first_out != -1) { |
---|
| 454 | arcs[(*_nodes)[u].first_out].prev_out = (n | 1); |
---|
[468] | 455 | } |
---|
[512] | 456 | arcs[n | 1].next_out = (*_nodes)[u].first_out; |
---|
| 457 | (*_nodes)[u].first_out = (n | 1); |
---|
[468] | 458 | arcs[n | 1].prev_out = -1; |
---|
| 459 | |
---|
| 460 | return Edge(n / 2); |
---|
| 461 | } |
---|
| 462 | |
---|
| 463 | void erase(const Edge& arc) { |
---|
| 464 | int n = arc.id * 2; |
---|
| 465 | |
---|
| 466 | if (arcs[n].next_out != -1) { |
---|
| 467 | arcs[arcs[n].next_out].prev_out = arcs[n].prev_out; |
---|
| 468 | } |
---|
| 469 | |
---|
| 470 | if (arcs[n].prev_out != -1) { |
---|
| 471 | arcs[arcs[n].prev_out].next_out = arcs[n].next_out; |
---|
| 472 | } else { |
---|
[512] | 473 | (*_nodes)[arcs[n | 1].target].first_out = arcs[n].next_out; |
---|
[468] | 474 | } |
---|
| 475 | |
---|
| 476 | if (arcs[n | 1].next_out != -1) { |
---|
| 477 | arcs[arcs[n | 1].next_out].prev_out = arcs[n | 1].prev_out; |
---|
| 478 | } |
---|
| 479 | |
---|
| 480 | if (arcs[n | 1].prev_out != -1) { |
---|
| 481 | arcs[arcs[n | 1].prev_out].next_out = arcs[n | 1].next_out; |
---|
| 482 | } else { |
---|
[512] | 483 | (*_nodes)[arcs[n].target].first_out = arcs[n | 1].next_out; |
---|
[468] | 484 | } |
---|
| 485 | |
---|
| 486 | arcs[n].next_out = first_free_arc; |
---|
| 487 | first_free_arc = n; |
---|
| 488 | |
---|
| 489 | } |
---|
| 490 | |
---|
| 491 | void clear() { |
---|
| 492 | Node node; |
---|
| 493 | for (first(node); node != INVALID; next(node)) { |
---|
[512] | 494 | (*_nodes)[node].first_out = -1; |
---|
[468] | 495 | } |
---|
| 496 | arcs.clear(); |
---|
| 497 | first_arc = -1; |
---|
| 498 | first_free_arc = -1; |
---|
| 499 | } |
---|
| 500 | |
---|
| 501 | void first(Node& node) const { |
---|
[512] | 502 | _graph->first(node); |
---|
[468] | 503 | } |
---|
| 504 | |
---|
| 505 | void next(Node& node) const { |
---|
[512] | 506 | _graph->next(node); |
---|
[468] | 507 | } |
---|
| 508 | |
---|
| 509 | void first(Arc& arc) const { |
---|
| 510 | Node node; |
---|
| 511 | first(node); |
---|
[512] | 512 | while (node != INVALID && (*_nodes)[node].first_out == -1) { |
---|
[468] | 513 | next(node); |
---|
| 514 | } |
---|
[512] | 515 | arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out; |
---|
[468] | 516 | } |
---|
| 517 | |
---|
| 518 | void next(Arc& arc) const { |
---|
| 519 | if (arcs[arc.id].next_out != -1) { |
---|
| 520 | arc.id = arcs[arc.id].next_out; |
---|
| 521 | } else { |
---|
| 522 | Node node = arcs[arc.id ^ 1].target; |
---|
| 523 | next(node); |
---|
[512] | 524 | while(node != INVALID && (*_nodes)[node].first_out == -1) { |
---|
[468] | 525 | next(node); |
---|
| 526 | } |
---|
[512] | 527 | arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out; |
---|
[468] | 528 | } |
---|
| 529 | } |
---|
| 530 | |
---|
| 531 | void first(Edge& edge) const { |
---|
| 532 | Node node; |
---|
| 533 | first(node); |
---|
| 534 | while (node != INVALID) { |
---|
[512] | 535 | edge.id = (*_nodes)[node].first_out; |
---|
[468] | 536 | while ((edge.id & 1) != 1) { |
---|
| 537 | edge.id = arcs[edge.id].next_out; |
---|
| 538 | } |
---|
| 539 | if (edge.id != -1) { |
---|
| 540 | edge.id /= 2; |
---|
| 541 | return; |
---|
| 542 | } |
---|
| 543 | next(node); |
---|
| 544 | } |
---|
| 545 | edge.id = -1; |
---|
| 546 | } |
---|
| 547 | |
---|
| 548 | void next(Edge& edge) const { |
---|
| 549 | Node node = arcs[edge.id * 2].target; |
---|
| 550 | edge.id = arcs[(edge.id * 2) | 1].next_out; |
---|
| 551 | while ((edge.id & 1) != 1) { |
---|
| 552 | edge.id = arcs[edge.id].next_out; |
---|
| 553 | } |
---|
| 554 | if (edge.id != -1) { |
---|
| 555 | edge.id /= 2; |
---|
| 556 | return; |
---|
| 557 | } |
---|
| 558 | next(node); |
---|
| 559 | while (node != INVALID) { |
---|
[512] | 560 | edge.id = (*_nodes)[node].first_out; |
---|
[468] | 561 | while ((edge.id & 1) != 1) { |
---|
| 562 | edge.id = arcs[edge.id].next_out; |
---|
| 563 | } |
---|
| 564 | if (edge.id != -1) { |
---|
| 565 | edge.id /= 2; |
---|
| 566 | return; |
---|
| 567 | } |
---|
| 568 | next(node); |
---|
| 569 | } |
---|
| 570 | edge.id = -1; |
---|
| 571 | } |
---|
| 572 | |
---|
| 573 | void firstOut(Arc& arc, const Node& node) const { |
---|
[512] | 574 | arc.id = (*_nodes)[node].first_out; |
---|
[468] | 575 | } |
---|
| 576 | |
---|
| 577 | void nextOut(Arc& arc) const { |
---|
| 578 | arc.id = arcs[arc.id].next_out; |
---|
| 579 | } |
---|
| 580 | |
---|
| 581 | void firstIn(Arc& arc, const Node& node) const { |
---|
[512] | 582 | arc.id = (((*_nodes)[node].first_out) ^ 1); |
---|
[468] | 583 | if (arc.id == -2) arc.id = -1; |
---|
| 584 | } |
---|
| 585 | |
---|
| 586 | void nextIn(Arc& arc) const { |
---|
| 587 | arc.id = ((arcs[arc.id ^ 1].next_out) ^ 1); |
---|
| 588 | if (arc.id == -2) arc.id = -1; |
---|
| 589 | } |
---|
| 590 | |
---|
| 591 | void firstInc(Edge &arc, bool& dir, const Node& node) const { |
---|
[512] | 592 | int de = (*_nodes)[node].first_out; |
---|
[468] | 593 | if (de != -1 ) { |
---|
| 594 | arc.id = de / 2; |
---|
| 595 | dir = ((de & 1) == 1); |
---|
| 596 | } else { |
---|
| 597 | arc.id = -1; |
---|
| 598 | dir = true; |
---|
| 599 | } |
---|
| 600 | } |
---|
| 601 | void nextInc(Edge &arc, bool& dir) const { |
---|
| 602 | int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out); |
---|
| 603 | if (de != -1 ) { |
---|
| 604 | arc.id = de / 2; |
---|
| 605 | dir = ((de & 1) == 1); |
---|
| 606 | } else { |
---|
| 607 | arc.id = -1; |
---|
| 608 | dir = true; |
---|
| 609 | } |
---|
| 610 | } |
---|
| 611 | |
---|
| 612 | static bool direction(Arc arc) { |
---|
| 613 | return (arc.id & 1) == 1; |
---|
| 614 | } |
---|
| 615 | |
---|
| 616 | static Arc direct(Edge edge, bool dir) { |
---|
| 617 | return Arc(edge.id * 2 + (dir ? 1 : 0)); |
---|
| 618 | } |
---|
| 619 | |
---|
[512] | 620 | int id(const Node& node) const { return _graph->id(node); } |
---|
[468] | 621 | static int id(Arc e) { return e.id; } |
---|
| 622 | static int id(Edge e) { return e.id; } |
---|
| 623 | |
---|
[512] | 624 | Node nodeFromId(int id) const { return _graph->nodeFromId(id); } |
---|
[468] | 625 | static Arc arcFromId(int id) { return Arc(id);} |
---|
| 626 | static Edge edgeFromId(int id) { return Edge(id);} |
---|
| 627 | |
---|
[512] | 628 | int maxNodeId() const { return _graph->maxNodeId(); }; |
---|
[468] | 629 | int maxEdgeId() const { return arcs.size() / 2 - 1; } |
---|
| 630 | int maxArcId() const { return arcs.size()-1; } |
---|
| 631 | |
---|
| 632 | Node source(Arc e) const { return arcs[e.id ^ 1].target; } |
---|
| 633 | Node target(Arc e) const { return arcs[e.id].target; } |
---|
| 634 | |
---|
| 635 | Node u(Edge e) const { return arcs[2 * e.id].target; } |
---|
| 636 | Node v(Edge e) const { return arcs[2 * e.id + 1].target; } |
---|
| 637 | |
---|
[512] | 638 | typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
---|
[468] | 639 | |
---|
| 640 | NodeNotifier& notifier(Node) const { |
---|
[512] | 641 | return _graph->notifier(Node()); |
---|
[468] | 642 | } |
---|
| 643 | |
---|
[512] | 644 | template <typename V> |
---|
| 645 | class NodeMap : public GR::template NodeMap<V> { |
---|
[617] | 646 | typedef typename GR::template NodeMap<V> Parent; |
---|
| 647 | |
---|
[468] | 648 | public: |
---|
| 649 | |
---|
[512] | 650 | explicit NodeMap(const ListEdgeSetBase<GR>& arcset) |
---|
| 651 | : Parent(*arcset._graph) {} |
---|
[468] | 652 | |
---|
[512] | 653 | NodeMap(const ListEdgeSetBase<GR>& arcset, const V& value) |
---|
| 654 | : Parent(*arcset._graph, value) {} |
---|
[468] | 655 | |
---|
| 656 | NodeMap& operator=(const NodeMap& cmap) { |
---|
| 657 | return operator=<NodeMap>(cmap); |
---|
| 658 | } |
---|
| 659 | |
---|
| 660 | template <typename CMap> |
---|
| 661 | NodeMap& operator=(const CMap& cmap) { |
---|
| 662 | Parent::operator=(cmap); |
---|
| 663 | return *this; |
---|
| 664 | } |
---|
| 665 | }; |
---|
| 666 | |
---|
| 667 | }; |
---|
| 668 | |
---|
[660] | 669 | /// \ingroup graphs |
---|
[468] | 670 | /// |
---|
| 671 | /// \brief Graph using a node set of another digraph or graph and an |
---|
| 672 | /// own edge set. |
---|
| 673 | /// |
---|
| 674 | /// This structure can be used to establish another graph over a |
---|
| 675 | /// node set of an existing one. This class uses the same Node type |
---|
| 676 | /// as the underlying graph, and each valid node of the original |
---|
| 677 | /// graph is valid in this arc set, therefore the node objects of |
---|
| 678 | /// the original graph can be used directly with this class. The |
---|
| 679 | /// node handling functions (id handling, observing, and iterators) |
---|
| 680 | /// works equivalently as in the original graph. |
---|
| 681 | /// |
---|
| 682 | /// This implementation is based on doubly-linked lists, from each |
---|
| 683 | /// node the incident edges make up lists, therefore one edge can be |
---|
| 684 | /// erased in constant time. It also makes possible, that node can |
---|
| 685 | /// be removed from the underlying graph, in this case all edges |
---|
| 686 | /// incident to the given node is erased from the arc set. |
---|
| 687 | /// |
---|
[512] | 688 | /// \param GR The type of the graph which shares its node set |
---|
[468] | 689 | /// with this class. Its interface must conform to the |
---|
| 690 | /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph" |
---|
| 691 | /// concept. |
---|
| 692 | /// |
---|
[559] | 693 | /// This class fully conforms to the \ref concepts::Graph "Graph" |
---|
[468] | 694 | /// concept. |
---|
[512] | 695 | template <typename GR> |
---|
| 696 | class ListEdgeSet : public EdgeSetExtender<ListEdgeSetBase<GR> > { |
---|
[617] | 697 | typedef EdgeSetExtender<ListEdgeSetBase<GR> > Parent; |
---|
[468] | 698 | |
---|
| 699 | public: |
---|
| 700 | |
---|
| 701 | typedef typename Parent::Node Node; |
---|
| 702 | typedef typename Parent::Arc Arc; |
---|
| 703 | typedef typename Parent::Edge Edge; |
---|
| 704 | |
---|
| 705 | typedef typename Parent::NodesImplBase NodesImplBase; |
---|
| 706 | |
---|
| 707 | void eraseNode(const Node& node) { |
---|
| 708 | Arc arc; |
---|
| 709 | Parent::firstOut(arc, node); |
---|
| 710 | while (arc != INVALID ) { |
---|
| 711 | erase(arc); |
---|
| 712 | Parent::firstOut(arc, node); |
---|
| 713 | } |
---|
| 714 | |
---|
| 715 | } |
---|
| 716 | |
---|
| 717 | void clearNodes() { |
---|
| 718 | Parent::clear(); |
---|
| 719 | } |
---|
| 720 | |
---|
| 721 | class NodesImpl : public NodesImplBase { |
---|
| 722 | typedef NodesImplBase Parent; |
---|
| 723 | |
---|
[617] | 724 | public: |
---|
[512] | 725 | NodesImpl(const GR& graph, ListEdgeSet& arcset) |
---|
[468] | 726 | : Parent(graph), _arcset(arcset) {} |
---|
| 727 | |
---|
| 728 | virtual ~NodesImpl() {} |
---|
| 729 | |
---|
| 730 | protected: |
---|
| 731 | |
---|
| 732 | virtual void erase(const Node& node) { |
---|
| 733 | _arcset.eraseNode(node); |
---|
| 734 | Parent::erase(node); |
---|
| 735 | } |
---|
| 736 | virtual void erase(const std::vector<Node>& nodes) { |
---|
| 737 | for (int i = 0; i < int(nodes.size()); ++i) { |
---|
| 738 | _arcset.eraseNode(nodes[i]); |
---|
| 739 | } |
---|
| 740 | Parent::erase(nodes); |
---|
| 741 | } |
---|
| 742 | virtual void clear() { |
---|
| 743 | _arcset.clearNodes(); |
---|
| 744 | Parent::clear(); |
---|
| 745 | } |
---|
| 746 | |
---|
| 747 | private: |
---|
| 748 | ListEdgeSet& _arcset; |
---|
| 749 | }; |
---|
| 750 | |
---|
[512] | 751 | NodesImpl _nodes; |
---|
[468] | 752 | |
---|
| 753 | public: |
---|
| 754 | |
---|
| 755 | /// \brief Constructor of the EdgeSet. |
---|
| 756 | /// |
---|
| 757 | /// Constructor of the EdgeSet. |
---|
[512] | 758 | ListEdgeSet(const GR& graph) : _nodes(graph, *this) { |
---|
| 759 | Parent::initalize(graph, _nodes); |
---|
[468] | 760 | } |
---|
| 761 | |
---|
| 762 | /// \brief Add a new edge to the graph. |
---|
| 763 | /// |
---|
| 764 | /// Add a new edge to the graph with node \c u |
---|
| 765 | /// and node \c v endpoints. |
---|
[559] | 766 | /// \return The new edge. |
---|
[468] | 767 | Edge addEdge(const Node& u, const Node& v) { |
---|
| 768 | return Parent::addEdge(u, v); |
---|
| 769 | } |
---|
| 770 | |
---|
| 771 | /// \brief Erase an edge from the graph. |
---|
| 772 | /// |
---|
| 773 | /// Erase the edge \c e from the graph. |
---|
| 774 | void erase(const Edge& e) { |
---|
| 775 | return Parent::erase(e); |
---|
| 776 | } |
---|
| 777 | |
---|
| 778 | }; |
---|
| 779 | |
---|
[512] | 780 | template <typename GR> |
---|
[468] | 781 | class SmartArcSetBase { |
---|
| 782 | public: |
---|
| 783 | |
---|
[617] | 784 | typedef typename GR::Node Node; |
---|
| 785 | typedef typename GR::NodeIt NodeIt; |
---|
[468] | 786 | |
---|
| 787 | protected: |
---|
| 788 | |
---|
| 789 | struct NodeT { |
---|
| 790 | int first_out, first_in; |
---|
| 791 | NodeT() : first_out(-1), first_in(-1) {} |
---|
| 792 | }; |
---|
| 793 | |
---|
[512] | 794 | typedef typename ItemSetTraits<GR, Node>:: |
---|
[468] | 795 | template Map<NodeT>::Type NodesImplBase; |
---|
| 796 | |
---|
[512] | 797 | NodesImplBase* _nodes; |
---|
[468] | 798 | |
---|
| 799 | struct ArcT { |
---|
| 800 | Node source, target; |
---|
| 801 | int next_out, next_in; |
---|
| 802 | ArcT() {} |
---|
| 803 | }; |
---|
| 804 | |
---|
| 805 | std::vector<ArcT> arcs; |
---|
| 806 | |
---|
[512] | 807 | const GR* _graph; |
---|
[468] | 808 | |
---|
[512] | 809 | void initalize(const GR& graph, NodesImplBase& nodes) { |
---|
| 810 | _graph = &graph; |
---|
| 811 | _nodes = &nodes; |
---|
[468] | 812 | } |
---|
| 813 | |
---|
| 814 | public: |
---|
| 815 | |
---|
| 816 | class Arc { |
---|
[512] | 817 | friend class SmartArcSetBase<GR>; |
---|
[468] | 818 | protected: |
---|
| 819 | Arc(int _id) : id(_id) {} |
---|
| 820 | int id; |
---|
| 821 | public: |
---|
| 822 | Arc() {} |
---|
| 823 | Arc(Invalid) : id(-1) {} |
---|
| 824 | bool operator==(const Arc& arc) const { return id == arc.id; } |
---|
| 825 | bool operator!=(const Arc& arc) const { return id != arc.id; } |
---|
| 826 | bool operator<(const Arc& arc) const { return id < arc.id; } |
---|
| 827 | }; |
---|
| 828 | |
---|
| 829 | SmartArcSetBase() {} |
---|
| 830 | |
---|
[670] | 831 | Node addNode() { |
---|
| 832 | LEMON_ASSERT(false, |
---|
| 833 | "This graph structure does not support node insertion"); |
---|
| 834 | return INVALID; // avoid warning |
---|
| 835 | } |
---|
| 836 | |
---|
[468] | 837 | Arc addArc(const Node& u, const Node& v) { |
---|
| 838 | int n = arcs.size(); |
---|
| 839 | arcs.push_back(ArcT()); |
---|
[512] | 840 | arcs[n].next_in = (*_nodes)[v].first_in; |
---|
| 841 | (*_nodes)[v].first_in = n; |
---|
| 842 | arcs[n].next_out = (*_nodes)[u].first_out; |
---|
| 843 | (*_nodes)[u].first_out = n; |
---|
[468] | 844 | arcs[n].source = u; |
---|
| 845 | arcs[n].target = v; |
---|
| 846 | return Arc(n); |
---|
| 847 | } |
---|
| 848 | |
---|
| 849 | void clear() { |
---|
| 850 | Node node; |
---|
| 851 | for (first(node); node != INVALID; next(node)) { |
---|
[512] | 852 | (*_nodes)[node].first_in = -1; |
---|
| 853 | (*_nodes)[node].first_out = -1; |
---|
[468] | 854 | } |
---|
| 855 | arcs.clear(); |
---|
| 856 | } |
---|
| 857 | |
---|
| 858 | void first(Node& node) const { |
---|
[512] | 859 | _graph->first(node); |
---|
[468] | 860 | } |
---|
| 861 | |
---|
| 862 | void next(Node& node) const { |
---|
[512] | 863 | _graph->next(node); |
---|
[468] | 864 | } |
---|
| 865 | |
---|
| 866 | void first(Arc& arc) const { |
---|
| 867 | arc.id = arcs.size() - 1; |
---|
| 868 | } |
---|
| 869 | |
---|
| 870 | void next(Arc& arc) const { |
---|
| 871 | --arc.id; |
---|
| 872 | } |
---|
| 873 | |
---|
| 874 | void firstOut(Arc& arc, const Node& node) const { |
---|
[512] | 875 | arc.id = (*_nodes)[node].first_out; |
---|
[468] | 876 | } |
---|
| 877 | |
---|
| 878 | void nextOut(Arc& arc) const { |
---|
| 879 | arc.id = arcs[arc.id].next_out; |
---|
| 880 | } |
---|
| 881 | |
---|
| 882 | void firstIn(Arc& arc, const Node& node) const { |
---|
[512] | 883 | arc.id = (*_nodes)[node].first_in; |
---|
[468] | 884 | } |
---|
| 885 | |
---|
| 886 | void nextIn(Arc& arc) const { |
---|
| 887 | arc.id = arcs[arc.id].next_in; |
---|
| 888 | } |
---|
| 889 | |
---|
[512] | 890 | int id(const Node& node) const { return _graph->id(node); } |
---|
[468] | 891 | int id(const Arc& arc) const { return arc.id; } |
---|
| 892 | |
---|
[512] | 893 | Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); } |
---|
[468] | 894 | Arc arcFromId(int ix) const { return Arc(ix); } |
---|
| 895 | |
---|
[512] | 896 | int maxNodeId() const { return _graph->maxNodeId(); }; |
---|
[468] | 897 | int maxArcId() const { return arcs.size() - 1; } |
---|
| 898 | |
---|
| 899 | Node source(const Arc& arc) const { return arcs[arc.id].source;} |
---|
| 900 | Node target(const Arc& arc) const { return arcs[arc.id].target;} |
---|
| 901 | |
---|
[512] | 902 | typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
---|
[468] | 903 | |
---|
| 904 | NodeNotifier& notifier(Node) const { |
---|
[512] | 905 | return _graph->notifier(Node()); |
---|
[468] | 906 | } |
---|
| 907 | |
---|
[512] | 908 | template <typename V> |
---|
| 909 | class NodeMap : public GR::template NodeMap<V> { |
---|
[617] | 910 | typedef typename GR::template NodeMap<V> Parent; |
---|
| 911 | |
---|
[468] | 912 | public: |
---|
| 913 | |
---|
[512] | 914 | explicit NodeMap(const SmartArcSetBase<GR>& arcset) |
---|
| 915 | : Parent(*arcset._graph) { } |
---|
[468] | 916 | |
---|
[512] | 917 | NodeMap(const SmartArcSetBase<GR>& arcset, const V& value) |
---|
| 918 | : Parent(*arcset._graph, value) { } |
---|
[468] | 919 | |
---|
| 920 | NodeMap& operator=(const NodeMap& cmap) { |
---|
| 921 | return operator=<NodeMap>(cmap); |
---|
| 922 | } |
---|
| 923 | |
---|
| 924 | template <typename CMap> |
---|
| 925 | NodeMap& operator=(const CMap& cmap) { |
---|
| 926 | Parent::operator=(cmap); |
---|
| 927 | return *this; |
---|
| 928 | } |
---|
| 929 | }; |
---|
| 930 | |
---|
| 931 | }; |
---|
| 932 | |
---|
| 933 | |
---|
[660] | 934 | /// \ingroup graphs |
---|
[468] | 935 | /// |
---|
| 936 | /// \brief Digraph using a node set of another digraph or graph and |
---|
| 937 | /// an own arc set. |
---|
| 938 | /// |
---|
| 939 | /// This structure can be used to establish another directed graph |
---|
| 940 | /// over a node set of an existing one. This class uses the same |
---|
| 941 | /// Node type as the underlying graph, and each valid node of the |
---|
| 942 | /// original graph is valid in this arc set, therefore the node |
---|
| 943 | /// objects of the original graph can be used directly with this |
---|
| 944 | /// class. The node handling functions (id handling, observing, and |
---|
| 945 | /// iterators) works equivalently as in the original graph. |
---|
| 946 | /// |
---|
[512] | 947 | /// \param GR The type of the graph which shares its node set with |
---|
[468] | 948 | /// this class. Its interface must conform to the |
---|
| 949 | /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph" |
---|
| 950 | /// concept. |
---|
| 951 | /// |
---|
| 952 | /// This implementation is slightly faster than the \c ListArcSet, |
---|
| 953 | /// because it uses continuous storage for arcs and it uses just |
---|
| 954 | /// single-linked lists for enumerate outgoing and incoming |
---|
| 955 | /// arcs. Therefore the arcs cannot be erased from the arc sets. |
---|
| 956 | /// |
---|
| 957 | /// \warning If a node is erased from the underlying graph and this |
---|
| 958 | /// node is the source or target of one arc in the arc set, then |
---|
| 959 | /// the arc set is invalidated, and it cannot be used anymore. The |
---|
| 960 | /// validity can be checked with the \c valid() member function. |
---|
| 961 | /// |
---|
[559] | 962 | /// This class fully conforms to the \ref concepts::Digraph |
---|
[468] | 963 | /// "Digraph" concept. |
---|
[512] | 964 | template <typename GR> |
---|
| 965 | class SmartArcSet : public ArcSetExtender<SmartArcSetBase<GR> > { |
---|
[617] | 966 | typedef ArcSetExtender<SmartArcSetBase<GR> > Parent; |
---|
[468] | 967 | |
---|
| 968 | public: |
---|
| 969 | |
---|
| 970 | typedef typename Parent::Node Node; |
---|
| 971 | typedef typename Parent::Arc Arc; |
---|
| 972 | |
---|
| 973 | protected: |
---|
| 974 | |
---|
| 975 | typedef typename Parent::NodesImplBase NodesImplBase; |
---|
| 976 | |
---|
| 977 | void eraseNode(const Node& node) { |
---|
| 978 | if (typename Parent::InArcIt(*this, node) == INVALID && |
---|
| 979 | typename Parent::OutArcIt(*this, node) == INVALID) { |
---|
| 980 | return; |
---|
| 981 | } |
---|
| 982 | throw typename NodesImplBase::Notifier::ImmediateDetach(); |
---|
| 983 | } |
---|
| 984 | |
---|
| 985 | void clearNodes() { |
---|
| 986 | Parent::clear(); |
---|
| 987 | } |
---|
| 988 | |
---|
| 989 | class NodesImpl : public NodesImplBase { |
---|
| 990 | typedef NodesImplBase Parent; |
---|
| 991 | |
---|
[617] | 992 | public: |
---|
[512] | 993 | NodesImpl(const GR& graph, SmartArcSet& arcset) |
---|
[468] | 994 | : Parent(graph), _arcset(arcset) {} |
---|
| 995 | |
---|
| 996 | virtual ~NodesImpl() {} |
---|
| 997 | |
---|
| 998 | bool attached() const { |
---|
| 999 | return Parent::attached(); |
---|
| 1000 | } |
---|
| 1001 | |
---|
| 1002 | protected: |
---|
| 1003 | |
---|
| 1004 | virtual void erase(const Node& node) { |
---|
| 1005 | try { |
---|
| 1006 | _arcset.eraseNode(node); |
---|
| 1007 | Parent::erase(node); |
---|
| 1008 | } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
---|
| 1009 | Parent::clear(); |
---|
| 1010 | throw; |
---|
| 1011 | } |
---|
| 1012 | } |
---|
| 1013 | virtual void erase(const std::vector<Node>& nodes) { |
---|
| 1014 | try { |
---|
| 1015 | for (int i = 0; i < int(nodes.size()); ++i) { |
---|
| 1016 | _arcset.eraseNode(nodes[i]); |
---|
| 1017 | } |
---|
| 1018 | Parent::erase(nodes); |
---|
| 1019 | } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
---|
| 1020 | Parent::clear(); |
---|
| 1021 | throw; |
---|
| 1022 | } |
---|
| 1023 | } |
---|
| 1024 | virtual void clear() { |
---|
| 1025 | _arcset.clearNodes(); |
---|
| 1026 | Parent::clear(); |
---|
| 1027 | } |
---|
| 1028 | |
---|
| 1029 | private: |
---|
| 1030 | SmartArcSet& _arcset; |
---|
| 1031 | }; |
---|
| 1032 | |
---|
[512] | 1033 | NodesImpl _nodes; |
---|
[468] | 1034 | |
---|
| 1035 | public: |
---|
| 1036 | |
---|
| 1037 | /// \brief Constructor of the ArcSet. |
---|
| 1038 | /// |
---|
| 1039 | /// Constructor of the ArcSet. |
---|
[512] | 1040 | SmartArcSet(const GR& graph) : _nodes(graph, *this) { |
---|
| 1041 | Parent::initalize(graph, _nodes); |
---|
[468] | 1042 | } |
---|
| 1043 | |
---|
| 1044 | /// \brief Add a new arc to the digraph. |
---|
| 1045 | /// |
---|
| 1046 | /// Add a new arc to the digraph with source node \c s |
---|
| 1047 | /// and target node \c t. |
---|
[559] | 1048 | /// \return The new arc. |
---|
[468] | 1049 | Arc addArc(const Node& s, const Node& t) { |
---|
| 1050 | return Parent::addArc(s, t); |
---|
| 1051 | } |
---|
| 1052 | |
---|
| 1053 | /// \brief Validity check |
---|
| 1054 | /// |
---|
| 1055 | /// This functions gives back false if the ArcSet is |
---|
| 1056 | /// invalidated. It occurs when a node in the underlying graph is |
---|
| 1057 | /// erased and it is not isolated in the ArcSet. |
---|
| 1058 | bool valid() const { |
---|
[512] | 1059 | return _nodes.attached(); |
---|
[468] | 1060 | } |
---|
| 1061 | |
---|
| 1062 | }; |
---|
| 1063 | |
---|
| 1064 | |
---|
[512] | 1065 | template <typename GR> |
---|
[468] | 1066 | class SmartEdgeSetBase { |
---|
| 1067 | public: |
---|
| 1068 | |
---|
[512] | 1069 | typedef typename GR::Node Node; |
---|
| 1070 | typedef typename GR::NodeIt NodeIt; |
---|
[468] | 1071 | |
---|
| 1072 | protected: |
---|
| 1073 | |
---|
| 1074 | struct NodeT { |
---|
| 1075 | int first_out; |
---|
| 1076 | NodeT() : first_out(-1) {} |
---|
| 1077 | }; |
---|
| 1078 | |
---|
[512] | 1079 | typedef typename ItemSetTraits<GR, Node>:: |
---|
[468] | 1080 | template Map<NodeT>::Type NodesImplBase; |
---|
| 1081 | |
---|
[512] | 1082 | NodesImplBase* _nodes; |
---|
[468] | 1083 | |
---|
| 1084 | struct ArcT { |
---|
| 1085 | Node target; |
---|
| 1086 | int next_out; |
---|
| 1087 | ArcT() {} |
---|
| 1088 | }; |
---|
| 1089 | |
---|
| 1090 | std::vector<ArcT> arcs; |
---|
| 1091 | |
---|
[512] | 1092 | const GR* _graph; |
---|
[468] | 1093 | |
---|
[512] | 1094 | void initalize(const GR& graph, NodesImplBase& nodes) { |
---|
| 1095 | _graph = &graph; |
---|
| 1096 | _nodes = &nodes; |
---|
[468] | 1097 | } |
---|
| 1098 | |
---|
| 1099 | public: |
---|
| 1100 | |
---|
| 1101 | class Edge { |
---|
| 1102 | friend class SmartEdgeSetBase; |
---|
| 1103 | protected: |
---|
| 1104 | |
---|
| 1105 | int id; |
---|
| 1106 | explicit Edge(int _id) { id = _id;} |
---|
| 1107 | |
---|
| 1108 | public: |
---|
| 1109 | Edge() {} |
---|
| 1110 | Edge (Invalid) { id = -1; } |
---|
| 1111 | bool operator==(const Edge& arc) const {return id == arc.id;} |
---|
| 1112 | bool operator!=(const Edge& arc) const {return id != arc.id;} |
---|
| 1113 | bool operator<(const Edge& arc) const {return id < arc.id;} |
---|
| 1114 | }; |
---|
| 1115 | |
---|
| 1116 | class Arc { |
---|
| 1117 | friend class SmartEdgeSetBase; |
---|
| 1118 | protected: |
---|
| 1119 | Arc(int _id) : id(_id) {} |
---|
| 1120 | int id; |
---|
| 1121 | public: |
---|
| 1122 | operator Edge() const { return edgeFromId(id / 2); } |
---|
| 1123 | |
---|
| 1124 | Arc() {} |
---|
| 1125 | Arc(Invalid) : id(-1) {} |
---|
| 1126 | bool operator==(const Arc& arc) const { return id == arc.id; } |
---|
| 1127 | bool operator!=(const Arc& arc) const { return id != arc.id; } |
---|
| 1128 | bool operator<(const Arc& arc) const { return id < arc.id; } |
---|
| 1129 | }; |
---|
| 1130 | |
---|
| 1131 | SmartEdgeSetBase() {} |
---|
| 1132 | |
---|
[670] | 1133 | Node addNode() { |
---|
| 1134 | LEMON_ASSERT(false, |
---|
| 1135 | "This graph structure does not support node insertion"); |
---|
| 1136 | return INVALID; // avoid warning |
---|
| 1137 | } |
---|
| 1138 | |
---|
[468] | 1139 | Edge addEdge(const Node& u, const Node& v) { |
---|
| 1140 | int n = arcs.size(); |
---|
| 1141 | arcs.push_back(ArcT()); |
---|
| 1142 | arcs.push_back(ArcT()); |
---|
| 1143 | |
---|
| 1144 | arcs[n].target = u; |
---|
| 1145 | arcs[n | 1].target = v; |
---|
| 1146 | |
---|
[512] | 1147 | arcs[n].next_out = (*_nodes)[v].first_out; |
---|
| 1148 | (*_nodes)[v].first_out = n; |
---|
[468] | 1149 | |
---|
[512] | 1150 | arcs[n | 1].next_out = (*_nodes)[u].first_out; |
---|
| 1151 | (*_nodes)[u].first_out = (n | 1); |
---|
[468] | 1152 | |
---|
| 1153 | return Edge(n / 2); |
---|
| 1154 | } |
---|
| 1155 | |
---|
| 1156 | void clear() { |
---|
| 1157 | Node node; |
---|
| 1158 | for (first(node); node != INVALID; next(node)) { |
---|
[512] | 1159 | (*_nodes)[node].first_out = -1; |
---|
[468] | 1160 | } |
---|
| 1161 | arcs.clear(); |
---|
| 1162 | } |
---|
| 1163 | |
---|
| 1164 | void first(Node& node) const { |
---|
[512] | 1165 | _graph->first(node); |
---|
[468] | 1166 | } |
---|
| 1167 | |
---|
| 1168 | void next(Node& node) const { |
---|
[512] | 1169 | _graph->next(node); |
---|
[468] | 1170 | } |
---|
| 1171 | |
---|
| 1172 | void first(Arc& arc) const { |
---|
| 1173 | arc.id = arcs.size() - 1; |
---|
| 1174 | } |
---|
| 1175 | |
---|
| 1176 | void next(Arc& arc) const { |
---|
| 1177 | --arc.id; |
---|
| 1178 | } |
---|
| 1179 | |
---|
| 1180 | void first(Edge& arc) const { |
---|
| 1181 | arc.id = arcs.size() / 2 - 1; |
---|
| 1182 | } |
---|
| 1183 | |
---|
| 1184 | void next(Edge& arc) const { |
---|
| 1185 | --arc.id; |
---|
| 1186 | } |
---|
| 1187 | |
---|
| 1188 | void firstOut(Arc& arc, const Node& node) const { |
---|
[512] | 1189 | arc.id = (*_nodes)[node].first_out; |
---|
[468] | 1190 | } |
---|
| 1191 | |
---|
| 1192 | void nextOut(Arc& arc) const { |
---|
| 1193 | arc.id = arcs[arc.id].next_out; |
---|
| 1194 | } |
---|
| 1195 | |
---|
| 1196 | void firstIn(Arc& arc, const Node& node) const { |
---|
[512] | 1197 | arc.id = (((*_nodes)[node].first_out) ^ 1); |
---|
[468] | 1198 | if (arc.id == -2) arc.id = -1; |
---|
| 1199 | } |
---|
| 1200 | |
---|
| 1201 | void nextIn(Arc& arc) const { |
---|
| 1202 | arc.id = ((arcs[arc.id ^ 1].next_out) ^ 1); |
---|
| 1203 | if (arc.id == -2) arc.id = -1; |
---|
| 1204 | } |
---|
| 1205 | |
---|
| 1206 | void firstInc(Edge &arc, bool& dir, const Node& node) const { |
---|
[512] | 1207 | int de = (*_nodes)[node].first_out; |
---|
[468] | 1208 | if (de != -1 ) { |
---|
| 1209 | arc.id = de / 2; |
---|
| 1210 | dir = ((de & 1) == 1); |
---|
| 1211 | } else { |
---|
| 1212 | arc.id = -1; |
---|
| 1213 | dir = true; |
---|
| 1214 | } |
---|
| 1215 | } |
---|
| 1216 | void nextInc(Edge &arc, bool& dir) const { |
---|
| 1217 | int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out); |
---|
| 1218 | if (de != -1 ) { |
---|
| 1219 | arc.id = de / 2; |
---|
| 1220 | dir = ((de & 1) == 1); |
---|
| 1221 | } else { |
---|
| 1222 | arc.id = -1; |
---|
| 1223 | dir = true; |
---|
| 1224 | } |
---|
| 1225 | } |
---|
| 1226 | |
---|
| 1227 | static bool direction(Arc arc) { |
---|
| 1228 | return (arc.id & 1) == 1; |
---|
| 1229 | } |
---|
| 1230 | |
---|
| 1231 | static Arc direct(Edge edge, bool dir) { |
---|
| 1232 | return Arc(edge.id * 2 + (dir ? 1 : 0)); |
---|
| 1233 | } |
---|
| 1234 | |
---|
[512] | 1235 | int id(Node node) const { return _graph->id(node); } |
---|
[468] | 1236 | static int id(Arc arc) { return arc.id; } |
---|
| 1237 | static int id(Edge arc) { return arc.id; } |
---|
| 1238 | |
---|
[512] | 1239 | Node nodeFromId(int id) const { return _graph->nodeFromId(id); } |
---|
[468] | 1240 | static Arc arcFromId(int id) { return Arc(id); } |
---|
| 1241 | static Edge edgeFromId(int id) { return Edge(id);} |
---|
| 1242 | |
---|
[512] | 1243 | int maxNodeId() const { return _graph->maxNodeId(); }; |
---|
[468] | 1244 | int maxArcId() const { return arcs.size() - 1; } |
---|
| 1245 | int maxEdgeId() const { return arcs.size() / 2 - 1; } |
---|
| 1246 | |
---|
| 1247 | Node source(Arc e) const { return arcs[e.id ^ 1].target; } |
---|
| 1248 | Node target(Arc e) const { return arcs[e.id].target; } |
---|
| 1249 | |
---|
| 1250 | Node u(Edge e) const { return arcs[2 * e.id].target; } |
---|
| 1251 | Node v(Edge e) const { return arcs[2 * e.id + 1].target; } |
---|
| 1252 | |
---|
[512] | 1253 | typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
---|
[468] | 1254 | |
---|
| 1255 | NodeNotifier& notifier(Node) const { |
---|
[512] | 1256 | return _graph->notifier(Node()); |
---|
[468] | 1257 | } |
---|
| 1258 | |
---|
[512] | 1259 | template <typename V> |
---|
| 1260 | class NodeMap : public GR::template NodeMap<V> { |
---|
[617] | 1261 | typedef typename GR::template NodeMap<V> Parent; |
---|
| 1262 | |
---|
[468] | 1263 | public: |
---|
| 1264 | |
---|
[512] | 1265 | explicit NodeMap(const SmartEdgeSetBase<GR>& arcset) |
---|
| 1266 | : Parent(*arcset._graph) { } |
---|
[468] | 1267 | |
---|
[512] | 1268 | NodeMap(const SmartEdgeSetBase<GR>& arcset, const V& value) |
---|
| 1269 | : Parent(*arcset._graph, value) { } |
---|
[468] | 1270 | |
---|
| 1271 | NodeMap& operator=(const NodeMap& cmap) { |
---|
| 1272 | return operator=<NodeMap>(cmap); |
---|
| 1273 | } |
---|
| 1274 | |
---|
| 1275 | template <typename CMap> |
---|
| 1276 | NodeMap& operator=(const CMap& cmap) { |
---|
| 1277 | Parent::operator=(cmap); |
---|
| 1278 | return *this; |
---|
| 1279 | } |
---|
| 1280 | }; |
---|
| 1281 | |
---|
| 1282 | }; |
---|
| 1283 | |
---|
[660] | 1284 | /// \ingroup graphs |
---|
[468] | 1285 | /// |
---|
| 1286 | /// \brief Graph using a node set of another digraph or graph and an |
---|
| 1287 | /// own edge set. |
---|
| 1288 | /// |
---|
| 1289 | /// This structure can be used to establish another graph over a |
---|
| 1290 | /// node set of an existing one. This class uses the same Node type |
---|
| 1291 | /// as the underlying graph, and each valid node of the original |
---|
| 1292 | /// graph is valid in this arc set, therefore the node objects of |
---|
| 1293 | /// the original graph can be used directly with this class. The |
---|
| 1294 | /// node handling functions (id handling, observing, and iterators) |
---|
| 1295 | /// works equivalently as in the original graph. |
---|
| 1296 | /// |
---|
[512] | 1297 | /// \param GR The type of the graph which shares its node set |
---|
[468] | 1298 | /// with this class. Its interface must conform to the |
---|
| 1299 | /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph" |
---|
| 1300 | /// concept. |
---|
| 1301 | /// |
---|
| 1302 | /// This implementation is slightly faster than the \c ListEdgeSet, |
---|
| 1303 | /// because it uses continuous storage for edges and it uses just |
---|
| 1304 | /// single-linked lists for enumerate incident edges. Therefore the |
---|
| 1305 | /// edges cannot be erased from the edge sets. |
---|
| 1306 | /// |
---|
| 1307 | /// \warning If a node is erased from the underlying graph and this |
---|
| 1308 | /// node is incident to one edge in the edge set, then the edge set |
---|
| 1309 | /// is invalidated, and it cannot be used anymore. The validity can |
---|
| 1310 | /// be checked with the \c valid() member function. |
---|
| 1311 | /// |
---|
[559] | 1312 | /// This class fully conforms to the \ref concepts::Graph |
---|
[468] | 1313 | /// "Graph" concept. |
---|
[512] | 1314 | template <typename GR> |
---|
| 1315 | class SmartEdgeSet : public EdgeSetExtender<SmartEdgeSetBase<GR> > { |
---|
[617] | 1316 | typedef EdgeSetExtender<SmartEdgeSetBase<GR> > Parent; |
---|
[468] | 1317 | |
---|
| 1318 | public: |
---|
| 1319 | |
---|
| 1320 | typedef typename Parent::Node Node; |
---|
| 1321 | typedef typename Parent::Arc Arc; |
---|
| 1322 | typedef typename Parent::Edge Edge; |
---|
| 1323 | |
---|
| 1324 | protected: |
---|
| 1325 | |
---|
| 1326 | typedef typename Parent::NodesImplBase NodesImplBase; |
---|
| 1327 | |
---|
| 1328 | void eraseNode(const Node& node) { |
---|
| 1329 | if (typename Parent::IncEdgeIt(*this, node) == INVALID) { |
---|
| 1330 | return; |
---|
| 1331 | } |
---|
| 1332 | throw typename NodesImplBase::Notifier::ImmediateDetach(); |
---|
| 1333 | } |
---|
| 1334 | |
---|
| 1335 | void clearNodes() { |
---|
| 1336 | Parent::clear(); |
---|
| 1337 | } |
---|
| 1338 | |
---|
| 1339 | class NodesImpl : public NodesImplBase { |
---|
| 1340 | typedef NodesImplBase Parent; |
---|
| 1341 | |
---|
[617] | 1342 | public: |
---|
[512] | 1343 | NodesImpl(const GR& graph, SmartEdgeSet& arcset) |
---|
[468] | 1344 | : Parent(graph), _arcset(arcset) {} |
---|
| 1345 | |
---|
| 1346 | virtual ~NodesImpl() {} |
---|
| 1347 | |
---|
| 1348 | bool attached() const { |
---|
| 1349 | return Parent::attached(); |
---|
| 1350 | } |
---|
| 1351 | |
---|
| 1352 | protected: |
---|
| 1353 | |
---|
| 1354 | virtual void erase(const Node& node) { |
---|
| 1355 | try { |
---|
| 1356 | _arcset.eraseNode(node); |
---|
| 1357 | Parent::erase(node); |
---|
| 1358 | } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
---|
| 1359 | Parent::clear(); |
---|
| 1360 | throw; |
---|
| 1361 | } |
---|
| 1362 | } |
---|
| 1363 | virtual void erase(const std::vector<Node>& nodes) { |
---|
| 1364 | try { |
---|
| 1365 | for (int i = 0; i < int(nodes.size()); ++i) { |
---|
| 1366 | _arcset.eraseNode(nodes[i]); |
---|
| 1367 | } |
---|
| 1368 | Parent::erase(nodes); |
---|
| 1369 | } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
---|
| 1370 | Parent::clear(); |
---|
| 1371 | throw; |
---|
| 1372 | } |
---|
| 1373 | } |
---|
| 1374 | virtual void clear() { |
---|
| 1375 | _arcset.clearNodes(); |
---|
| 1376 | Parent::clear(); |
---|
| 1377 | } |
---|
| 1378 | |
---|
| 1379 | private: |
---|
| 1380 | SmartEdgeSet& _arcset; |
---|
| 1381 | }; |
---|
| 1382 | |
---|
[512] | 1383 | NodesImpl _nodes; |
---|
[468] | 1384 | |
---|
| 1385 | public: |
---|
| 1386 | |
---|
| 1387 | /// \brief Constructor of the EdgeSet. |
---|
| 1388 | /// |
---|
| 1389 | /// Constructor of the EdgeSet. |
---|
[512] | 1390 | SmartEdgeSet(const GR& graph) : _nodes(graph, *this) { |
---|
| 1391 | Parent::initalize(graph, _nodes); |
---|
[468] | 1392 | } |
---|
| 1393 | |
---|
| 1394 | /// \brief Add a new edge to the graph. |
---|
| 1395 | /// |
---|
| 1396 | /// Add a new edge to the graph with node \c u |
---|
| 1397 | /// and node \c v endpoints. |
---|
[559] | 1398 | /// \return The new edge. |
---|
[468] | 1399 | Edge addEdge(const Node& u, const Node& v) { |
---|
| 1400 | return Parent::addEdge(u, v); |
---|
| 1401 | } |
---|
| 1402 | |
---|
| 1403 | /// \brief Validity check |
---|
| 1404 | /// |
---|
| 1405 | /// This functions gives back false if the EdgeSet is |
---|
| 1406 | /// invalidated. It occurs when a node in the underlying graph is |
---|
| 1407 | /// erased and it is not isolated in the EdgeSet. |
---|
| 1408 | bool valid() const { |
---|
[512] | 1409 | return _nodes.attached(); |
---|
[468] | 1410 | } |
---|
| 1411 | |
---|
| 1412 | }; |
---|
| 1413 | |
---|
| 1414 | } |
---|
| 1415 | |
---|
| 1416 | #endif |
---|