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4
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| ... | ... |
@@ -125,150 +125,176 @@ |
| 125 | 125 |
public: |
| 126 | 126 |
|
| 127 | 127 |
typedef _Graph Graph; |
| 128 | 128 |
|
| 129 | 129 |
typedef typename Graph::Edge Item; |
| 130 | 130 |
typedef typename Graph::EdgeIt ItemIt; |
| 131 | 131 |
|
| 132 | 132 |
typedef typename EdgeNotifierIndicator<Graph>::Type ItemNotifier; |
| 133 | 133 |
|
| 134 | 134 |
template <typename _Value> |
| 135 | 135 |
class Map : public Graph::template EdgeMap<_Value> {
|
| 136 | 136 |
public: |
| 137 | 137 |
typedef typename Graph::template EdgeMap<_Value> Parent; |
| 138 | 138 |
typedef typename Graph::template EdgeMap<_Value> Type; |
| 139 | 139 |
typedef typename Parent::Value Value; |
| 140 | 140 |
|
| 141 | 141 |
Map(const Graph& _digraph) : Parent(_digraph) {}
|
| 142 | 142 |
Map(const Graph& _digraph, const Value& _value) |
| 143 | 143 |
: Parent(_digraph, _value) {}
|
| 144 | 144 |
}; |
| 145 | 145 |
|
| 146 | 146 |
}; |
| 147 | 147 |
|
| 148 | 148 |
template <typename Map, typename Enable = void> |
| 149 | 149 |
struct MapTraits {
|
| 150 | 150 |
typedef False ReferenceMapTag; |
| 151 | 151 |
|
| 152 | 152 |
typedef typename Map::Key Key; |
| 153 | 153 |
typedef typename Map::Value Value; |
| 154 | 154 |
|
| 155 | 155 |
typedef Value ConstReturnValue; |
| 156 | 156 |
typedef Value ReturnValue; |
| 157 | 157 |
}; |
| 158 | 158 |
|
| 159 | 159 |
template <typename Map> |
| 160 | 160 |
struct MapTraits< |
| 161 | 161 |
Map, typename enable_if<typename Map::ReferenceMapTag, void>::type > |
| 162 | 162 |
{
|
| 163 | 163 |
typedef True ReferenceMapTag; |
| 164 | 164 |
|
| 165 | 165 |
typedef typename Map::Key Key; |
| 166 | 166 |
typedef typename Map::Value Value; |
| 167 | 167 |
|
| 168 | 168 |
typedef typename Map::ConstReference ConstReturnValue; |
| 169 | 169 |
typedef typename Map::Reference ReturnValue; |
| 170 | 170 |
|
| 171 | 171 |
typedef typename Map::ConstReference ConstReference; |
| 172 | 172 |
typedef typename Map::Reference Reference; |
| 173 | 173 |
}; |
| 174 | 174 |
|
| 175 | 175 |
template <typename MatrixMap, typename Enable = void> |
| 176 | 176 |
struct MatrixMapTraits {
|
| 177 | 177 |
typedef False ReferenceMapTag; |
| 178 | 178 |
|
| 179 | 179 |
typedef typename MatrixMap::FirstKey FirstKey; |
| 180 | 180 |
typedef typename MatrixMap::SecondKey SecondKey; |
| 181 | 181 |
typedef typename MatrixMap::Value Value; |
| 182 | 182 |
|
| 183 | 183 |
typedef Value ConstReturnValue; |
| 184 | 184 |
typedef Value ReturnValue; |
| 185 | 185 |
}; |
| 186 | 186 |
|
| 187 | 187 |
template <typename MatrixMap> |
| 188 | 188 |
struct MatrixMapTraits< |
| 189 | 189 |
MatrixMap, typename enable_if<typename MatrixMap::ReferenceMapTag, |
| 190 | 190 |
void>::type > |
| 191 | 191 |
{
|
| 192 | 192 |
typedef True ReferenceMapTag; |
| 193 | 193 |
|
| 194 | 194 |
typedef typename MatrixMap::FirstKey FirstKey; |
| 195 | 195 |
typedef typename MatrixMap::SecondKey SecondKey; |
| 196 | 196 |
typedef typename MatrixMap::Value Value; |
| 197 | 197 |
|
| 198 | 198 |
typedef typename MatrixMap::ConstReference ConstReturnValue; |
| 199 | 199 |
typedef typename MatrixMap::Reference ReturnValue; |
| 200 | 200 |
|
| 201 | 201 |
typedef typename MatrixMap::ConstReference ConstReference; |
| 202 | 202 |
typedef typename MatrixMap::Reference Reference; |
| 203 | 203 |
}; |
| 204 | 204 |
|
| 205 | 205 |
// Indicators for the tags |
| 206 | 206 |
|
| 207 | 207 |
template <typename Graph, typename Enable = void> |
| 208 | 208 |
struct NodeNumTagIndicator {
|
| 209 | 209 |
static const bool value = false; |
| 210 | 210 |
}; |
| 211 | 211 |
|
| 212 | 212 |
template <typename Graph> |
| 213 | 213 |
struct NodeNumTagIndicator< |
| 214 | 214 |
Graph, |
| 215 | 215 |
typename enable_if<typename Graph::NodeNumTag, void>::type |
| 216 | 216 |
> {
|
| 217 | 217 |
static const bool value = true; |
| 218 | 218 |
}; |
| 219 | 219 |
|
| 220 | 220 |
template <typename Graph, typename Enable = void> |
| 221 |
struct ArcNumTagIndicator {
|
|
| 222 |
static const bool value = false; |
|
| 223 |
}; |
|
| 224 |
|
|
| 225 |
template <typename Graph> |
|
| 226 |
struct ArcNumTagIndicator< |
|
| 227 |
Graph, |
|
| 228 |
typename enable_if<typename Graph::ArcNumTag, void>::type |
|
| 229 |
> {
|
|
| 230 |
static const bool value = true; |
|
| 231 |
}; |
|
| 232 |
|
|
| 233 |
template <typename Graph, typename Enable = void> |
|
| 221 | 234 |
struct EdgeNumTagIndicator {
|
| 222 | 235 |
static const bool value = false; |
| 223 | 236 |
}; |
| 224 | 237 |
|
| 225 | 238 |
template <typename Graph> |
| 226 | 239 |
struct EdgeNumTagIndicator< |
| 227 | 240 |
Graph, |
| 228 | 241 |
typename enable_if<typename Graph::EdgeNumTag, void>::type |
| 229 | 242 |
> {
|
| 230 | 243 |
static const bool value = true; |
| 231 | 244 |
}; |
| 232 | 245 |
|
| 233 | 246 |
template <typename Graph, typename Enable = void> |
| 247 |
struct FindArcTagIndicator {
|
|
| 248 |
static const bool value = false; |
|
| 249 |
}; |
|
| 250 |
|
|
| 251 |
template <typename Graph> |
|
| 252 |
struct FindArcTagIndicator< |
|
| 253 |
Graph, |
|
| 254 |
typename enable_if<typename Graph::FindArcTag, void>::type |
|
| 255 |
> {
|
|
| 256 |
static const bool value = true; |
|
| 257 |
}; |
|
| 258 |
|
|
| 259 |
template <typename Graph, typename Enable = void> |
|
| 234 | 260 |
struct FindEdgeTagIndicator {
|
| 235 | 261 |
static const bool value = false; |
| 236 | 262 |
}; |
| 237 | 263 |
|
| 238 | 264 |
template <typename Graph> |
| 239 | 265 |
struct FindEdgeTagIndicator< |
| 240 | 266 |
Graph, |
| 241 | 267 |
typename enable_if<typename Graph::FindEdgeTag, void>::type |
| 242 | 268 |
> {
|
| 243 | 269 |
static const bool value = true; |
| 244 | 270 |
}; |
| 245 | 271 |
|
| 246 | 272 |
template <typename Graph, typename Enable = void> |
| 247 | 273 |
struct UndirectedTagIndicator {
|
| 248 | 274 |
static const bool value = false; |
| 249 | 275 |
}; |
| 250 | 276 |
|
| 251 | 277 |
template <typename Graph> |
| 252 | 278 |
struct UndirectedTagIndicator< |
| 253 | 279 |
Graph, |
| 254 | 280 |
typename enable_if<typename Graph::UndirectedTag, void>::type |
| 255 | 281 |
> {
|
| 256 | 282 |
static const bool value = true; |
| 257 | 283 |
}; |
| 258 | 284 |
|
| 259 | 285 |
template <typename Graph, typename Enable = void> |
| 260 | 286 |
struct BuildTagIndicator {
|
| 261 | 287 |
static const bool value = false; |
| 262 | 288 |
}; |
| 263 | 289 |
|
| 264 | 290 |
template <typename Graph> |
| 265 | 291 |
struct BuildTagIndicator< |
| 266 | 292 |
Graph, |
| 267 | 293 |
typename enable_if<typename Graph::BuildTag, void>::type |
| 268 | 294 |
> {
|
| 269 | 295 |
static const bool value = true; |
| 270 | 296 |
}; |
| 271 | 297 |
|
| 272 | 298 |
} |
| 273 | 299 |
|
| 274 | 300 |
#endif |
| ... | ... |
@@ -213,229 +213,231 @@ |
| 213 | 213 |
int index(const Node& node) const { return Parent::index(node); }
|
| 214 | 214 |
|
| 215 | 215 |
/// \brief Returns the arc connecting the given nodes. |
| 216 | 216 |
/// |
| 217 | 217 |
/// Returns the arc connecting the given nodes. |
| 218 | 218 |
Arc arc(const Node& u, const Node& v) const {
|
| 219 | 219 |
return Parent::arc(u, v); |
| 220 | 220 |
} |
| 221 | 221 |
|
| 222 | 222 |
/// \brief Number of nodes. |
| 223 | 223 |
int nodeNum() const { return Parent::nodeNum(); }
|
| 224 | 224 |
/// \brief Number of arcs. |
| 225 | 225 |
int arcNum() const { return Parent::arcNum(); }
|
| 226 | 226 |
}; |
| 227 | 227 |
|
| 228 | 228 |
|
| 229 | 229 |
class FullGraphBase {
|
| 230 | 230 |
int _node_num; |
| 231 | 231 |
int _edge_num; |
| 232 | 232 |
public: |
| 233 | 233 |
|
| 234 | 234 |
typedef FullGraphBase Graph; |
| 235 | 235 |
|
| 236 | 236 |
class Node; |
| 237 | 237 |
class Arc; |
| 238 | 238 |
class Edge; |
| 239 | 239 |
|
| 240 | 240 |
protected: |
| 241 | 241 |
|
| 242 | 242 |
FullGraphBase() {}
|
| 243 | 243 |
|
| 244 | 244 |
void construct(int n) { _node_num = n; _edge_num = n * (n - 1) / 2; }
|
| 245 | 245 |
|
| 246 | 246 |
int _uid(int e) const {
|
| 247 | 247 |
int u = e / _node_num; |
| 248 | 248 |
int v = e % _node_num; |
| 249 | 249 |
return u < v ? u : _node_num - 2 - u; |
| 250 | 250 |
} |
| 251 | 251 |
|
| 252 | 252 |
int _vid(int e) const {
|
| 253 | 253 |
int u = e / _node_num; |
| 254 | 254 |
int v = e % _node_num; |
| 255 | 255 |
return u < v ? v : _node_num - 1 - v; |
| 256 | 256 |
} |
| 257 | 257 |
|
| 258 | 258 |
void _uvid(int e, int& u, int& v) const {
|
| 259 | 259 |
u = e / _node_num; |
| 260 | 260 |
v = e % _node_num; |
| 261 | 261 |
if (u >= v) {
|
| 262 | 262 |
u = _node_num - 2 - u; |
| 263 | 263 |
v = _node_num - 1 - v; |
| 264 | 264 |
} |
| 265 | 265 |
} |
| 266 | 266 |
|
| 267 | 267 |
void _stid(int a, int& s, int& t) const {
|
| 268 | 268 |
if ((a & 1) == 1) {
|
| 269 | 269 |
_uvid(a >> 1, s, t); |
| 270 | 270 |
} else {
|
| 271 | 271 |
_uvid(a >> 1, t, s); |
| 272 | 272 |
} |
| 273 | 273 |
} |
| 274 | 274 |
|
| 275 | 275 |
int _eid(int u, int v) const {
|
| 276 | 276 |
if (u < (_node_num - 1) / 2) {
|
| 277 | 277 |
return u * _node_num + v; |
| 278 | 278 |
} else {
|
| 279 | 279 |
return (_node_num - 1 - u) * _node_num - v - 1; |
| 280 | 280 |
} |
| 281 | 281 |
} |
| 282 | 282 |
|
| 283 | 283 |
public: |
| 284 | 284 |
|
| 285 | 285 |
Node operator()(int ix) const { return Node(ix); }
|
| 286 | 286 |
int index(const Node& node) const { return node._id; }
|
| 287 | 287 |
|
| 288 | 288 |
Edge edge(const Node& u, const Node& v) const {
|
| 289 | 289 |
if (u._id < v._id) {
|
| 290 | 290 |
return Edge(_eid(u._id, v._id)); |
| 291 | 291 |
} else if (u._id != v._id) {
|
| 292 | 292 |
return Edge(_eid(v._id, u._id)); |
| 293 | 293 |
} else {
|
| 294 | 294 |
return INVALID; |
| 295 | 295 |
} |
| 296 | 296 |
} |
| 297 | 297 |
|
| 298 | 298 |
Arc arc(const Node& s, const Node& t) const {
|
| 299 | 299 |
if (s._id < t._id) {
|
| 300 | 300 |
return Arc((_eid(s._id, t._id) << 1) | 1); |
| 301 | 301 |
} else if (s._id != t._id) {
|
| 302 | 302 |
return Arc(_eid(t._id, s._id) << 1); |
| 303 | 303 |
} else {
|
| 304 | 304 |
return INVALID; |
| 305 | 305 |
} |
| 306 | 306 |
} |
| 307 | 307 |
|
| 308 | 308 |
typedef True NodeNumTag; |
| 309 |
typedef True ArcNumTag; |
|
| 309 | 310 |
typedef True EdgeNumTag; |
| 310 | 311 |
|
| 311 | 312 |
int nodeNum() const { return _node_num; }
|
| 312 | 313 |
int arcNum() const { return 2 * _edge_num; }
|
| 313 | 314 |
int edgeNum() const { return _edge_num; }
|
| 314 | 315 |
|
| 315 | 316 |
static int id(Node node) { return node._id; }
|
| 316 | 317 |
static int id(Arc arc) { return arc._id; }
|
| 317 | 318 |
static int id(Edge edge) { return edge._id; }
|
| 318 | 319 |
|
| 319 | 320 |
int maxNodeId() const { return _node_num-1; }
|
| 320 | 321 |
int maxArcId() const { return 2 * _edge_num-1; }
|
| 321 | 322 |
int maxEdgeId() const { return _edge_num-1; }
|
| 322 | 323 |
|
| 323 | 324 |
static Node nodeFromId(int id) { return Node(id);}
|
| 324 | 325 |
static Arc arcFromId(int id) { return Arc(id);}
|
| 325 | 326 |
static Edge edgeFromId(int id) { return Edge(id);}
|
| 326 | 327 |
|
| 327 | 328 |
Node u(Edge edge) const {
|
| 328 | 329 |
return Node(_uid(edge._id)); |
| 329 | 330 |
} |
| 330 | 331 |
|
| 331 | 332 |
Node v(Edge edge) const {
|
| 332 | 333 |
return Node(_vid(edge._id)); |
| 333 | 334 |
} |
| 334 | 335 |
|
| 335 | 336 |
Node source(Arc arc) const {
|
| 336 | 337 |
return Node((arc._id & 1) == 1 ? |
| 337 | 338 |
_uid(arc._id >> 1) : _vid(arc._id >> 1)); |
| 338 | 339 |
} |
| 339 | 340 |
|
| 340 | 341 |
Node target(Arc arc) const {
|
| 341 | 342 |
return Node((arc._id & 1) == 1 ? |
| 342 | 343 |
_vid(arc._id >> 1) : _uid(arc._id >> 1)); |
| 343 | 344 |
} |
| 344 | 345 |
|
| 345 | 346 |
typedef True FindEdgeTag; |
| 347 |
typedef True FindArcTag; |
|
| 346 | 348 |
|
| 347 | 349 |
Edge findEdge(Node u, Node v, Edge prev = INVALID) const {
|
| 348 | 350 |
return prev != INVALID ? INVALID : edge(u, v); |
| 349 | 351 |
} |
| 350 | 352 |
|
| 351 | 353 |
Arc findArc(Node s, Node t, Arc prev = INVALID) const {
|
| 352 | 354 |
return prev != INVALID ? INVALID : arc(s, t); |
| 353 | 355 |
} |
| 354 | 356 |
|
| 355 | 357 |
class Node {
|
| 356 | 358 |
friend class FullGraphBase; |
| 357 | 359 |
|
| 358 | 360 |
protected: |
| 359 | 361 |
int _id; |
| 360 | 362 |
Node(int id) : _id(id) {}
|
| 361 | 363 |
public: |
| 362 | 364 |
Node() {}
|
| 363 | 365 |
Node (Invalid) { _id = -1; }
|
| 364 | 366 |
bool operator==(const Node node) const {return _id == node._id;}
|
| 365 | 367 |
bool operator!=(const Node node) const {return _id != node._id;}
|
| 366 | 368 |
bool operator<(const Node node) const {return _id < node._id;}
|
| 367 | 369 |
}; |
| 368 | 370 |
|
| 369 | 371 |
class Edge {
|
| 370 | 372 |
friend class FullGraphBase; |
| 371 | 373 |
friend class Arc; |
| 372 | 374 |
|
| 373 | 375 |
protected: |
| 374 | 376 |
int _id; |
| 375 | 377 |
|
| 376 | 378 |
Edge(int id) : _id(id) {}
|
| 377 | 379 |
|
| 378 | 380 |
public: |
| 379 | 381 |
Edge() { }
|
| 380 | 382 |
Edge (Invalid) { _id = -1; }
|
| 381 | 383 |
|
| 382 | 384 |
bool operator==(const Edge edge) const {return _id == edge._id;}
|
| 383 | 385 |
bool operator!=(const Edge edge) const {return _id != edge._id;}
|
| 384 | 386 |
bool operator<(const Edge edge) const {return _id < edge._id;}
|
| 385 | 387 |
}; |
| 386 | 388 |
|
| 387 | 389 |
class Arc {
|
| 388 | 390 |
friend class FullGraphBase; |
| 389 | 391 |
|
| 390 | 392 |
protected: |
| 391 | 393 |
int _id; |
| 392 | 394 |
|
| 393 | 395 |
Arc(int id) : _id(id) {}
|
| 394 | 396 |
|
| 395 | 397 |
public: |
| 396 | 398 |
Arc() { }
|
| 397 | 399 |
Arc (Invalid) { _id = -1; }
|
| 398 | 400 |
|
| 399 | 401 |
operator Edge() const { return Edge(_id != -1 ? (_id >> 1) : -1); }
|
| 400 | 402 |
|
| 401 | 403 |
bool operator==(const Arc arc) const {return _id == arc._id;}
|
| 402 | 404 |
bool operator!=(const Arc arc) const {return _id != arc._id;}
|
| 403 | 405 |
bool operator<(const Arc arc) const {return _id < arc._id;}
|
| 404 | 406 |
}; |
| 405 | 407 |
|
| 406 | 408 |
static bool direction(Arc arc) {
|
| 407 | 409 |
return (arc._id & 1) == 1; |
| 408 | 410 |
} |
| 409 | 411 |
|
| 410 | 412 |
static Arc direct(Edge edge, bool dir) {
|
| 411 | 413 |
return Arc((edge._id << 1) | (dir ? 1 : 0)); |
| 412 | 414 |
} |
| 413 | 415 |
|
| 414 | 416 |
void first(Node& node) const {
|
| 415 | 417 |
node._id = _node_num - 1; |
| 416 | 418 |
} |
| 417 | 419 |
|
| 418 | 420 |
static void next(Node& node) {
|
| 419 | 421 |
--node._id; |
| 420 | 422 |
} |
| 421 | 423 |
|
| 422 | 424 |
void first(Arc& arc) const {
|
| 423 | 425 |
arc._id = (_edge_num << 1) - 1; |
| 424 | 426 |
} |
| 425 | 427 |
|
| 426 | 428 |
static void next(Arc& arc) {
|
| 427 | 429 |
--arc._id; |
| 428 | 430 |
} |
| 429 | 431 |
|
| 430 | 432 |
void first(Edge& edge) const {
|
| 431 | 433 |
edge._id = _edge_num - 1; |
| 432 | 434 |
} |
| 433 | 435 |
|
| 434 | 436 |
static void next(Edge& edge) {
|
| 435 | 437 |
--edge._id; |
| 436 | 438 |
} |
| 437 | 439 |
|
| 438 | 440 |
void firstOut(Arc& arc, const Node& node) const {
|
| 439 | 441 |
int s = node._id, t = _node_num - 1; |
| 440 | 442 |
if (s < t) {
|
| 441 | 443 |
arc._id = (_eid(s, t) << 1) | 1; |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2008 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
#ifndef GRID_GRAPH_H |
| 20 | 20 |
#define GRID_GRAPH_H |
| 21 | 21 |
|
| 22 | 22 |
#include <lemon/core.h> |
| 23 | 23 |
#include <lemon/bits/graph_extender.h> |
| 24 | 24 |
#include <lemon/dim2.h> |
| 25 | 25 |
#include <lemon/assert.h> |
| 26 | 26 |
|
| 27 | 27 |
///\ingroup graphs |
| 28 | 28 |
///\file |
| 29 | 29 |
///\brief GridGraph class. |
| 30 | 30 |
|
| 31 | 31 |
namespace lemon {
|
| 32 | 32 |
|
| 33 | 33 |
class GridGraphBase {
|
| 34 | 34 |
|
| 35 | 35 |
public: |
| 36 | 36 |
|
| 37 | 37 |
typedef GridGraphBase Graph; |
| 38 | 38 |
|
| 39 | 39 |
class Node; |
| 40 | 40 |
class Edge; |
| 41 | 41 |
class Arc; |
| 42 | 42 |
|
| 43 | 43 |
public: |
| 44 | 44 |
|
| 45 | 45 |
GridGraphBase() {}
|
| 46 | 46 |
|
| 47 | 47 |
protected: |
| 48 | 48 |
|
| 49 | 49 |
void construct(int width, int height) {
|
| 50 | 50 |
_width = width; _height = height; |
| 51 | 51 |
_node_num = width * height; |
| 52 | 52 |
_edge_num = 2 * _node_num - width - height; |
| 53 | 53 |
_edge_limit = _node_num - _width; |
| 54 | 54 |
} |
| 55 | 55 |
|
| 56 | 56 |
public: |
| 57 | 57 |
|
| 58 | 58 |
Node operator()(int i, int j) const {
|
| 59 | 59 |
LEMON_DEBUG(0 <= i && i < _width && |
| 60 | 60 |
0 <= j && j < _height, "Index out of range"); |
| 61 | 61 |
return Node(i + j * _width); |
| 62 | 62 |
} |
| 63 | 63 |
|
| 64 | 64 |
int col(Node n) const {
|
| 65 | 65 |
return n._id % _width; |
| 66 | 66 |
} |
| 67 | 67 |
|
| 68 | 68 |
int row(Node n) const {
|
| 69 | 69 |
return n._id / _width; |
| 70 | 70 |
} |
| 71 | 71 |
|
| 72 | 72 |
dim2::Point<int> pos(Node n) const {
|
| 73 | 73 |
return dim2::Point<int>(col(n), row(n)); |
| 74 | 74 |
} |
| 75 | 75 |
|
| 76 | 76 |
int width() const {
|
| 77 | 77 |
return _width; |
| 78 | 78 |
} |
| 79 | 79 |
|
| 80 | 80 |
int height() const {
|
| 81 | 81 |
return _height; |
| 82 | 82 |
} |
| 83 | 83 |
|
| 84 | 84 |
typedef True NodeNumTag; |
| 85 |
typedef True EdgeNumTag; |
|
| 85 | 86 |
typedef True ArcNumTag; |
| 86 | 87 |
|
| 87 | 88 |
int nodeNum() const { return _node_num; }
|
| 88 | 89 |
int edgeNum() const { return _edge_num; }
|
| 89 | 90 |
int arcNum() const { return 2 * _edge_num; }
|
| 90 | 91 |
|
| 91 | 92 |
Node u(Edge edge) const {
|
| 92 | 93 |
if (edge._id < _edge_limit) {
|
| 93 | 94 |
return edge._id; |
| 94 | 95 |
} else {
|
| 95 | 96 |
return (edge._id - _edge_limit) % (_width - 1) + |
| 96 | 97 |
(edge._id - _edge_limit) / (_width - 1) * _width; |
| 97 | 98 |
} |
| 98 | 99 |
} |
| 99 | 100 |
|
| 100 | 101 |
Node v(Edge edge) const {
|
| 101 | 102 |
if (edge._id < _edge_limit) {
|
| 102 | 103 |
return edge._id + _width; |
| 103 | 104 |
} else {
|
| 104 | 105 |
return (edge._id - _edge_limit) % (_width - 1) + |
| 105 | 106 |
(edge._id - _edge_limit) / (_width - 1) * _width + 1; |
| 106 | 107 |
} |
| 107 | 108 |
} |
| 108 | 109 |
|
| 109 | 110 |
Node source(Arc arc) const {
|
| 110 | 111 |
return (arc._id & 1) == 1 ? u(arc) : v(arc); |
| 111 | 112 |
} |
| 112 | 113 |
|
| 113 | 114 |
Node target(Arc arc) const {
|
| 114 | 115 |
return (arc._id & 1) == 1 ? v(arc) : u(arc); |
| 115 | 116 |
} |
| 116 | 117 |
|
| 117 | 118 |
static int id(Node node) { return node._id; }
|
| 118 | 119 |
static int id(Edge edge) { return edge._id; }
|
| 119 | 120 |
static int id(Arc arc) { return arc._id; }
|
| 120 | 121 |
|
| 121 | 122 |
int maxNodeId() const { return _node_num - 1; }
|
| 122 | 123 |
int maxEdgeId() const { return _edge_num - 1; }
|
| 123 | 124 |
int maxArcId() const { return 2 * _edge_num - 1; }
|
| 124 | 125 |
|
| 125 | 126 |
static Node nodeFromId(int id) { return Node(id);}
|
| 126 | 127 |
static Edge edgeFromId(int id) { return Edge(id);}
|
| 127 | 128 |
static Arc arcFromId(int id) { return Arc(id);}
|
| 128 | 129 |
|
| 129 | 130 |
typedef True FindEdgeTag; |
| 131 |
typedef True FindArcTag; |
|
| 130 | 132 |
|
| 131 | 133 |
Edge findEdge(Node u, Node v, Edge prev = INVALID) const {
|
| 132 | 134 |
if (prev != INVALID) return INVALID; |
| 133 | 135 |
if (v._id > u._id) {
|
| 134 | 136 |
if (v._id - u._id == _width) |
| 135 | 137 |
return Edge(u._id); |
| 136 | 138 |
if (v._id - u._id == 1 && u._id % _width < _width - 1) {
|
| 137 | 139 |
return Edge(u._id / _width * (_width - 1) + |
| 138 | 140 |
u._id % _width + _edge_limit); |
| 139 | 141 |
} |
| 140 | 142 |
} else {
|
| 141 | 143 |
if (u._id - v._id == _width) |
| 142 | 144 |
return Edge(v._id); |
| 143 | 145 |
if (u._id - v._id == 1 && v._id % _width < _width - 1) {
|
| 144 | 146 |
return Edge(v._id / _width * (_width - 1) + |
| 145 | 147 |
v._id % _width + _edge_limit); |
| 146 | 148 |
} |
| 147 | 149 |
} |
| 148 | 150 |
return INVALID; |
| 149 | 151 |
} |
| 150 | 152 |
|
| 151 | 153 |
Arc findArc(Node u, Node v, Arc prev = INVALID) const {
|
| 152 | 154 |
if (prev != INVALID) return INVALID; |
| 153 | 155 |
if (v._id > u._id) {
|
| 154 | 156 |
if (v._id - u._id == _width) |
| 155 | 157 |
return Arc((u._id << 1) | 1); |
| 156 | 158 |
if (v._id - u._id == 1 && u._id % _width < _width - 1) {
|
| 157 | 159 |
return Arc(((u._id / _width * (_width - 1) + |
| 158 | 160 |
u._id % _width + _edge_limit) << 1) | 1); |
| 159 | 161 |
} |
| 160 | 162 |
} else {
|
| 161 | 163 |
if (u._id - v._id == _width) |
| 162 | 164 |
return Arc(v._id << 1); |
| 163 | 165 |
if (u._id - v._id == 1 && v._id % _width < _width - 1) {
|
| 164 | 166 |
return Arc((v._id / _width * (_width - 1) + |
| 165 | 167 |
v._id % _width + _edge_limit) << 1); |
| 166 | 168 |
} |
| 167 | 169 |
} |
| 168 | 170 |
return INVALID; |
| 169 | 171 |
} |
| 170 | 172 |
|
| 171 | 173 |
class Node {
|
| 172 | 174 |
friend class GridGraphBase; |
| 173 | 175 |
|
| 174 | 176 |
protected: |
| 175 | 177 |
int _id; |
| 176 | 178 |
Node(int id) : _id(id) {}
|
| 177 | 179 |
public: |
| 178 | 180 |
Node() {}
|
| 179 | 181 |
Node (Invalid) : _id(-1) {}
|
| 180 | 182 |
bool operator==(const Node node) const {return _id == node._id;}
|
| 181 | 183 |
bool operator!=(const Node node) const {return _id != node._id;}
|
| 182 | 184 |
bool operator<(const Node node) const {return _id < node._id;}
|
| 183 | 185 |
}; |
| 184 | 186 |
|
| 185 | 187 |
class Edge {
|
| 186 | 188 |
friend class GridGraphBase; |
| 187 | 189 |
friend class Arc; |
| 188 | 190 |
|
| 189 | 191 |
protected: |
| 190 | 192 |
int _id; |
| 191 | 193 |
|
| 192 | 194 |
Edge(int id) : _id(id) {}
|
| 193 | 195 |
|
| 194 | 196 |
public: |
| 195 | 197 |
Edge() {}
|
| 196 | 198 |
Edge (Invalid) : _id(-1) {}
|
| 197 | 199 |
bool operator==(const Edge edge) const {return _id == edge._id;}
|
| 198 | 200 |
bool operator!=(const Edge edge) const {return _id != edge._id;}
|
| 199 | 201 |
bool operator<(const Edge edge) const {return _id < edge._id;}
|
| 200 | 202 |
}; |
| 201 | 203 |
|
| 202 | 204 |
class Arc {
|
| 203 | 205 |
friend class GridGraphBase; |
| 204 | 206 |
|
| 205 | 207 |
protected: |
| 206 | 208 |
int _id; |
| 207 | 209 |
|
| 208 | 210 |
Arc(int id) : _id(id) {}
|
| 209 | 211 |
|
| 210 | 212 |
public: |
| 211 | 213 |
Arc() {}
|
| 212 | 214 |
Arc (Invalid) : _id(-1) {}
|
| 213 | 215 |
operator Edge() const { return _id != -1 ? Edge(_id >> 1) : INVALID; }
|
| 214 | 216 |
bool operator==(const Arc arc) const {return _id == arc._id;}
|
| 215 | 217 |
bool operator!=(const Arc arc) const {return _id != arc._id;}
|
| 216 | 218 |
bool operator<(const Arc arc) const {return _id < arc._id;}
|
| 217 | 219 |
}; |
| 218 | 220 |
|
| 219 | 221 |
static bool direction(Arc arc) {
|
| 220 | 222 |
return (arc._id & 1) == 1; |
| 221 | 223 |
} |
| 222 | 224 |
|
| 223 | 225 |
static Arc direct(Edge edge, bool dir) {
|
| 224 | 226 |
return Arc((edge._id << 1) | (dir ? 1 : 0)); |
| 225 | 227 |
} |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2008 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
#ifndef LEMON_SMART_GRAPH_H |
| 20 | 20 |
#define LEMON_SMART_GRAPH_H |
| 21 | 21 |
|
| 22 | 22 |
///\ingroup graphs |
| 23 | 23 |
///\file |
| 24 | 24 |
///\brief SmartDigraph and SmartGraph classes. |
| 25 | 25 |
|
| 26 | 26 |
#include <vector> |
| 27 | 27 |
|
| 28 | 28 |
#include <lemon/core.h> |
| 29 | 29 |
#include <lemon/error.h> |
| 30 | 30 |
#include <lemon/bits/graph_extender.h> |
| 31 | 31 |
|
| 32 | 32 |
namespace lemon {
|
| 33 | 33 |
|
| 34 | 34 |
class SmartDigraph; |
| 35 | 35 |
///Base of SmartDigraph |
| 36 | 36 |
|
| 37 | 37 |
///Base of SmartDigraph |
| 38 | 38 |
/// |
| 39 | 39 |
class SmartDigraphBase {
|
| 40 | 40 |
protected: |
| 41 | 41 |
|
| 42 | 42 |
struct NodeT |
| 43 | 43 |
{
|
| 44 | 44 |
int first_in, first_out; |
| 45 | 45 |
NodeT() {}
|
| 46 | 46 |
}; |
| 47 | 47 |
struct ArcT |
| 48 | 48 |
{
|
| 49 | 49 |
int target, source, next_in, next_out; |
| 50 | 50 |
ArcT() {}
|
| 51 | 51 |
}; |
| 52 | 52 |
|
| 53 | 53 |
std::vector<NodeT> nodes; |
| 54 | 54 |
std::vector<ArcT> arcs; |
| 55 | 55 |
|
| 56 | 56 |
public: |
| 57 | 57 |
|
| 58 | 58 |
typedef SmartDigraphBase Graph; |
| 59 | 59 |
|
| 60 | 60 |
class Node; |
| 61 | 61 |
class Arc; |
| 62 | 62 |
|
| 63 | 63 |
public: |
| 64 | 64 |
|
| 65 | 65 |
SmartDigraphBase() : nodes(), arcs() { }
|
| 66 | 66 |
SmartDigraphBase(const SmartDigraphBase &_g) |
| 67 | 67 |
: nodes(_g.nodes), arcs(_g.arcs) { }
|
| 68 | 68 |
|
| 69 | 69 |
typedef True NodeNumTag; |
| 70 |
typedef True |
|
| 70 |
typedef True ArcNumTag; |
|
| 71 | 71 |
|
| 72 | 72 |
int nodeNum() const { return nodes.size(); }
|
| 73 | 73 |
int arcNum() const { return arcs.size(); }
|
| 74 | 74 |
|
| 75 | 75 |
int maxNodeId() const { return nodes.size()-1; }
|
| 76 | 76 |
int maxArcId() const { return arcs.size()-1; }
|
| 77 | 77 |
|
| 78 | 78 |
Node addNode() {
|
| 79 | 79 |
int n = nodes.size(); |
| 80 | 80 |
nodes.push_back(NodeT()); |
| 81 | 81 |
nodes[n].first_in = -1; |
| 82 | 82 |
nodes[n].first_out = -1; |
| 83 | 83 |
return Node(n); |
| 84 | 84 |
} |
| 85 | 85 |
|
| 86 | 86 |
Arc addArc(Node u, Node v) {
|
| 87 | 87 |
int n = arcs.size(); |
| 88 | 88 |
arcs.push_back(ArcT()); |
| 89 | 89 |
arcs[n].source = u._id; |
| 90 | 90 |
arcs[n].target = v._id; |
| 91 | 91 |
arcs[n].next_out = nodes[u._id].first_out; |
| 92 | 92 |
arcs[n].next_in = nodes[v._id].first_in; |
| 93 | 93 |
nodes[u._id].first_out = nodes[v._id].first_in = n; |
| 94 | 94 |
|
| 95 | 95 |
return Arc(n); |
| 96 | 96 |
} |
| 97 | 97 |
|
| 98 | 98 |
void clear() {
|
| 99 | 99 |
arcs.clear(); |
| 100 | 100 |
nodes.clear(); |
| 101 | 101 |
} |
| 102 | 102 |
|
| 103 | 103 |
Node source(Arc a) const { return Node(arcs[a._id].source); }
|
| 104 | 104 |
Node target(Arc a) const { return Node(arcs[a._id].target); }
|
| 105 | 105 |
|
| 106 | 106 |
static int id(Node v) { return v._id; }
|
| 107 | 107 |
static int id(Arc a) { return a._id; }
|
| 108 | 108 |
|
| 109 | 109 |
static Node nodeFromId(int id) { return Node(id);}
|
| 110 | 110 |
static Arc arcFromId(int id) { return Arc(id);}
|
| 111 | 111 |
|
| 112 | 112 |
bool valid(Node n) const {
|
| 113 | 113 |
return n._id >= 0 && n._id < static_cast<int>(nodes.size()); |
| 114 | 114 |
} |
| 115 | 115 |
bool valid(Arc a) const {
|
| 116 | 116 |
return a._id >= 0 && a._id < static_cast<int>(arcs.size()); |
| 117 | 117 |
} |
| 118 | 118 |
|
| 119 | 119 |
class Node {
|
| 120 | 120 |
friend class SmartDigraphBase; |
| 121 | 121 |
friend class SmartDigraph; |
| 122 | 122 |
|
| 123 | 123 |
protected: |
| 124 | 124 |
int _id; |
| 125 | 125 |
explicit Node(int id) : _id(id) {}
|
| 126 | 126 |
public: |
| 127 | 127 |
Node() {}
|
| 128 | 128 |
Node (Invalid) : _id(-1) {}
|
| 129 | 129 |
bool operator==(const Node i) const {return _id == i._id;}
|
| 130 | 130 |
bool operator!=(const Node i) const {return _id != i._id;}
|
| 131 | 131 |
bool operator<(const Node i) const {return _id < i._id;}
|
| 132 | 132 |
}; |
| 133 | 133 |
|
| 134 | 134 |
|
| 135 | 135 |
class Arc {
|
| 136 | 136 |
friend class SmartDigraphBase; |
| 137 | 137 |
friend class SmartDigraph; |
| 138 | 138 |
|
| 139 | 139 |
protected: |
| 140 | 140 |
int _id; |
| 141 | 141 |
explicit Arc(int id) : _id(id) {}
|
| 142 | 142 |
public: |
| 143 | 143 |
Arc() { }
|
| 144 | 144 |
Arc (Invalid) : _id(-1) {}
|
| 145 | 145 |
bool operator==(const Arc i) const {return _id == i._id;}
|
| 146 | 146 |
bool operator!=(const Arc i) const {return _id != i._id;}
|
| 147 | 147 |
bool operator<(const Arc i) const {return _id < i._id;}
|
| 148 | 148 |
}; |
| 149 | 149 |
|
| 150 | 150 |
void first(Node& node) const {
|
| 151 | 151 |
node._id = nodes.size() - 1; |
| 152 | 152 |
} |
| 153 | 153 |
|
| 154 | 154 |
static void next(Node& node) {
|
| 155 | 155 |
--node._id; |
| 156 | 156 |
} |
| 157 | 157 |
|
| 158 | 158 |
void first(Arc& arc) const {
|
| 159 | 159 |
arc._id = arcs.size() - 1; |
| 160 | 160 |
} |
| 161 | 161 |
|
| 162 | 162 |
static void next(Arc& arc) {
|
| 163 | 163 |
--arc._id; |
| 164 | 164 |
} |
| 165 | 165 |
|
| 166 | 166 |
void firstOut(Arc& arc, const Node& node) const {
|
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