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/* -*- mode: C++; indent-tabs-mode: nil; -*- |
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* |
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* This file is a part of LEMON, a generic C++ optimization library. |
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* |
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* Copyright (C) 2003-2009 |
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* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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* (Egervary Research Group on Combinatorial Optimization, EGRES). |
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* |
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* Permission to use, modify and distribute this software is granted |
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* provided that this copyright notice appears in all copies. For |
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* precise terms see the accompanying LICENSE file. |
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* |
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* This software is provided "AS IS" with no warranty of any kind, |
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* express or implied, and with no claim as to its suitability for any |
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* purpose. |
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* |
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*/ |
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|
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#ifndef LEMON_BFS_H |
20 | 20 |
#define LEMON_BFS_H |
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|
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///\ingroup search |
23 | 23 |
///\file |
24 | 24 |
///\brief BFS algorithm. |
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|
26 | 26 |
#include <lemon/list_graph.h> |
27 | 27 |
#include <lemon/bits/path_dump.h> |
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#include <lemon/core.h> |
29 | 29 |
#include <lemon/error.h> |
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#include <lemon/maps.h> |
31 | 31 |
#include <lemon/path.h> |
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|
33 | 33 |
namespace lemon { |
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|
35 | 35 |
///Default traits class of Bfs class. |
36 | 36 |
|
37 | 37 |
///Default traits class of Bfs class. |
38 | 38 |
///\tparam GR Digraph type. |
39 | 39 |
template<class GR> |
40 | 40 |
struct BfsDefaultTraits |
41 | 41 |
{ |
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///The type of the digraph the algorithm runs on. |
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typedef GR Digraph; |
44 | 44 |
|
45 | 45 |
///\brief The type of the map that stores the predecessor |
46 | 46 |
///arcs of the shortest paths. |
47 | 47 |
/// |
48 | 48 |
///The type of the map that stores the predecessor |
49 | 49 |
///arcs of the shortest paths. |
50 | 50 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
51 | 51 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
52 |
///Instantiates a PredMap. |
|
52 |
///Instantiates a \c PredMap. |
|
53 | 53 |
|
54 |
///This function instantiates a PredMap. |
|
54 |
///This function instantiates a \ref PredMap. |
|
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///\param g is the digraph, to which we would like to define the |
56 |
///PredMap. |
|
56 |
///\ref PredMap. |
|
57 | 57 |
static PredMap *createPredMap(const Digraph &g) |
58 | 58 |
{ |
59 | 59 |
return new PredMap(g); |
60 | 60 |
} |
61 | 61 |
|
62 | 62 |
///The type of the map that indicates which nodes are processed. |
63 | 63 |
|
64 | 64 |
///The type of the map that indicates which nodes are processed. |
65 | 65 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
66 | 66 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
67 |
///Instantiates a ProcessedMap. |
|
67 |
///Instantiates a \c ProcessedMap. |
|
68 | 68 |
|
69 |
///This function instantiates a ProcessedMap. |
|
69 |
///This function instantiates a \ref ProcessedMap. |
|
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///\param g is the digraph, to which |
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///we would like to define the ProcessedMap |
|
71 |
///we would like to define the \ref ProcessedMap |
|
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#ifdef DOXYGEN |
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static ProcessedMap *createProcessedMap(const Digraph &g) |
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#else |
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static ProcessedMap *createProcessedMap(const Digraph &) |
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#endif |
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{ |
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return new ProcessedMap(); |
79 | 79 |
} |
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|
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///The type of the map that indicates which nodes are reached. |
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|
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///The type of the map that indicates which nodes are reached. |
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///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
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typedef typename Digraph::template NodeMap<bool> ReachedMap; |
86 |
///Instantiates a ReachedMap. |
|
86 |
///Instantiates a \c ReachedMap. |
|
87 | 87 |
|
88 |
///This function instantiates a ReachedMap. |
|
88 |
///This function instantiates a \ref ReachedMap. |
|
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///\param g is the digraph, to which |
90 |
///we would like to define the ReachedMap. |
|
90 |
///we would like to define the \ref ReachedMap. |
|
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static ReachedMap *createReachedMap(const Digraph &g) |
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{ |
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return new ReachedMap(g); |
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} |
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|
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///The type of the map that stores the distances of the nodes. |
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|
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///The type of the map that stores the distances of the nodes. |
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///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
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typedef typename Digraph::template NodeMap<int> DistMap; |
101 |
///Instantiates a DistMap. |
|
101 |
///Instantiates a \c DistMap. |
|
102 | 102 |
|
103 |
///This function instantiates a DistMap. |
|
103 |
///This function instantiates a \ref DistMap. |
|
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///\param g is the digraph, to which we would like to define the |
105 |
///DistMap. |
|
105 |
///\ref DistMap. |
|
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static DistMap *createDistMap(const Digraph &g) |
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{ |
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return new DistMap(g); |
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} |
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}; |
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|
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///%BFS algorithm class. |
113 | 113 |
|
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///\ingroup search |
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///This class provides an efficient implementation of the %BFS algorithm. |
116 | 116 |
/// |
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///There is also a \ref bfs() "function-type interface" for the BFS |
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///algorithm, which is convenient in the simplier cases and it can be |
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///used easier. |
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/// |
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///\tparam GR The type of the digraph the algorithm runs on. |
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///The default type is \ref ListDigraph. |
123 | 123 |
#ifdef DOXYGEN |
124 | 124 |
template <typename GR, |
125 | 125 |
typename TR> |
126 | 126 |
#else |
127 | 127 |
template <typename GR=ListDigraph, |
128 | 128 |
typename TR=BfsDefaultTraits<GR> > |
129 | 129 |
#endif |
130 | 130 |
class Bfs { |
131 | 131 |
public: |
132 | 132 |
|
133 | 133 |
///The type of the digraph the algorithm runs on. |
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typedef typename TR::Digraph Digraph; |
135 | 135 |
|
136 | 136 |
///\brief The type of the map that stores the predecessor arcs of the |
137 | 137 |
///shortest paths. |
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typedef typename TR::PredMap PredMap; |
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///The type of the map that stores the distances of the nodes. |
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typedef typename TR::DistMap DistMap; |
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///The type of the map that indicates which nodes are reached. |
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typedef typename TR::ReachedMap ReachedMap; |
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///The type of the map that indicates which nodes are processed. |
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typedef typename TR::ProcessedMap ProcessedMap; |
145 | 145 |
///The type of the paths. |
146 | 146 |
typedef PredMapPath<Digraph, PredMap> Path; |
147 | 147 |
|
148 | 148 |
///The \ref BfsDefaultTraits "traits class" of the algorithm. |
149 | 149 |
typedef TR Traits; |
150 | 150 |
|
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private: |
152 | 152 |
|
153 | 153 |
typedef typename Digraph::Node Node; |
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typedef typename Digraph::NodeIt NodeIt; |
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typedef typename Digraph::Arc Arc; |
156 | 156 |
typedef typename Digraph::OutArcIt OutArcIt; |
157 | 157 |
|
158 | 158 |
//Pointer to the underlying digraph. |
159 | 159 |
const Digraph *G; |
160 | 160 |
//Pointer to the map of predecessor arcs. |
161 | 161 |
PredMap *_pred; |
162 | 162 |
//Indicates if _pred is locally allocated (true) or not. |
163 | 163 |
bool local_pred; |
164 | 164 |
//Pointer to the map of distances. |
165 | 165 |
DistMap *_dist; |
166 | 166 |
//Indicates if _dist is locally allocated (true) or not. |
167 | 167 |
bool local_dist; |
168 | 168 |
//Pointer to the map of reached status of the nodes. |
169 | 169 |
ReachedMap *_reached; |
170 | 170 |
//Indicates if _reached is locally allocated (true) or not. |
171 | 171 |
bool local_reached; |
172 | 172 |
//Pointer to the map of processed status of the nodes. |
173 | 173 |
ProcessedMap *_processed; |
174 | 174 |
//Indicates if _processed is locally allocated (true) or not. |
175 | 175 |
bool local_processed; |
176 | 176 |
|
177 | 177 |
std::vector<typename Digraph::Node> _queue; |
178 | 178 |
int _queue_head,_queue_tail,_queue_next_dist; |
179 | 179 |
int _curr_dist; |
180 | 180 |
|
181 | 181 |
//Creates the maps if necessary. |
182 | 182 |
void create_maps() |
183 | 183 |
{ |
184 | 184 |
if(!_pred) { |
185 | 185 |
local_pred = true; |
186 | 186 |
_pred = Traits::createPredMap(*G); |
187 | 187 |
} |
188 | 188 |
if(!_dist) { |
189 | 189 |
local_dist = true; |
190 | 190 |
_dist = Traits::createDistMap(*G); |
191 | 191 |
} |
192 | 192 |
if(!_reached) { |
193 | 193 |
local_reached = true; |
194 | 194 |
_reached = Traits::createReachedMap(*G); |
195 | 195 |
} |
196 | 196 |
if(!_processed) { |
197 | 197 |
local_processed = true; |
198 | 198 |
_processed = Traits::createProcessedMap(*G); |
199 | 199 |
} |
200 | 200 |
} |
201 | 201 |
|
202 | 202 |
protected: |
203 | 203 |
|
204 | 204 |
Bfs() {} |
205 | 205 |
|
206 | 206 |
public: |
207 | 207 |
|
208 | 208 |
typedef Bfs Create; |
209 | 209 |
|
210 | 210 |
///\name Named Template Parameters |
211 | 211 |
|
212 | 212 |
///@{ |
213 | 213 |
|
214 | 214 |
template <class T> |
215 | 215 |
struct SetPredMapTraits : public Traits { |
216 | 216 |
typedef T PredMap; |
217 | 217 |
static PredMap *createPredMap(const Digraph &) |
218 | 218 |
{ |
219 | 219 |
LEMON_ASSERT(false, "PredMap is not initialized"); |
220 | 220 |
return 0; // ignore warnings |
221 | 221 |
} |
222 | 222 |
}; |
223 | 223 |
///\brief \ref named-templ-param "Named parameter" for setting |
224 |
///PredMap type. |
|
224 |
///\c PredMap type. |
|
225 | 225 |
/// |
226 | 226 |
///\ref named-templ-param "Named parameter" for setting |
227 |
///PredMap type. |
|
227 |
///\c PredMap type. |
|
228 | 228 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
229 | 229 |
template <class T> |
230 | 230 |
struct SetPredMap : public Bfs< Digraph, SetPredMapTraits<T> > { |
231 | 231 |
typedef Bfs< Digraph, SetPredMapTraits<T> > Create; |
232 | 232 |
}; |
233 | 233 |
|
234 | 234 |
template <class T> |
235 | 235 |
struct SetDistMapTraits : public Traits { |
236 | 236 |
typedef T DistMap; |
237 | 237 |
static DistMap *createDistMap(const Digraph &) |
238 | 238 |
{ |
239 | 239 |
LEMON_ASSERT(false, "DistMap is not initialized"); |
240 | 240 |
return 0; // ignore warnings |
241 | 241 |
} |
242 | 242 |
}; |
243 | 243 |
///\brief \ref named-templ-param "Named parameter" for setting |
244 |
///DistMap type. |
|
244 |
///\c DistMap type. |
|
245 | 245 |
/// |
246 | 246 |
///\ref named-templ-param "Named parameter" for setting |
247 |
///DistMap type. |
|
247 |
///\c DistMap type. |
|
248 | 248 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
249 | 249 |
template <class T> |
250 | 250 |
struct SetDistMap : public Bfs< Digraph, SetDistMapTraits<T> > { |
251 | 251 |
typedef Bfs< Digraph, SetDistMapTraits<T> > Create; |
252 | 252 |
}; |
253 | 253 |
|
254 | 254 |
template <class T> |
255 | 255 |
struct SetReachedMapTraits : public Traits { |
256 | 256 |
typedef T ReachedMap; |
257 | 257 |
static ReachedMap *createReachedMap(const Digraph &) |
258 | 258 |
{ |
259 | 259 |
LEMON_ASSERT(false, "ReachedMap is not initialized"); |
260 | 260 |
return 0; // ignore warnings |
261 | 261 |
} |
262 | 262 |
}; |
263 | 263 |
///\brief \ref named-templ-param "Named parameter" for setting |
264 |
///ReachedMap type. |
|
264 |
///\c ReachedMap type. |
|
265 | 265 |
/// |
266 | 266 |
///\ref named-templ-param "Named parameter" for setting |
267 |
///ReachedMap type. |
|
267 |
///\c ReachedMap type. |
|
268 | 268 |
///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
269 | 269 |
template <class T> |
270 | 270 |
struct SetReachedMap : public Bfs< Digraph, SetReachedMapTraits<T> > { |
271 | 271 |
typedef Bfs< Digraph, SetReachedMapTraits<T> > Create; |
272 | 272 |
}; |
273 | 273 |
|
274 | 274 |
template <class T> |
275 | 275 |
struct SetProcessedMapTraits : public Traits { |
276 | 276 |
typedef T ProcessedMap; |
277 | 277 |
static ProcessedMap *createProcessedMap(const Digraph &) |
278 | 278 |
{ |
279 | 279 |
LEMON_ASSERT(false, "ProcessedMap is not initialized"); |
280 | 280 |
return 0; // ignore warnings |
281 | 281 |
} |
282 | 282 |
}; |
283 | 283 |
///\brief \ref named-templ-param "Named parameter" for setting |
284 |
///ProcessedMap type. |
|
284 |
///\c ProcessedMap type. |
|
285 | 285 |
/// |
286 | 286 |
///\ref named-templ-param "Named parameter" for setting |
287 |
///ProcessedMap type. |
|
287 |
///\c ProcessedMap type. |
|
288 | 288 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
289 | 289 |
template <class T> |
290 | 290 |
struct SetProcessedMap : public Bfs< Digraph, SetProcessedMapTraits<T> > { |
291 | 291 |
typedef Bfs< Digraph, SetProcessedMapTraits<T> > Create; |
292 | 292 |
}; |
293 | 293 |
|
294 | 294 |
struct SetStandardProcessedMapTraits : public Traits { |
295 | 295 |
typedef typename Digraph::template NodeMap<bool> ProcessedMap; |
296 | 296 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
297 | 297 |
{ |
298 | 298 |
return new ProcessedMap(g); |
299 | 299 |
return 0; // ignore warnings |
300 | 300 |
} |
301 | 301 |
}; |
302 | 302 |
///\brief \ref named-templ-param "Named parameter" for setting |
303 |
///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
303 |
///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
304 | 304 |
/// |
305 | 305 |
///\ref named-templ-param "Named parameter" for setting |
306 |
///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
306 |
///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
307 | 307 |
///If you don't set it explicitly, it will be automatically allocated. |
308 | 308 |
struct SetStandardProcessedMap : |
309 | 309 |
public Bfs< Digraph, SetStandardProcessedMapTraits > { |
310 | 310 |
typedef Bfs< Digraph, SetStandardProcessedMapTraits > Create; |
311 | 311 |
}; |
312 | 312 |
|
313 | 313 |
///@} |
314 | 314 |
|
315 | 315 |
public: |
316 | 316 |
|
317 | 317 |
///Constructor. |
318 | 318 |
|
319 | 319 |
///Constructor. |
320 | 320 |
///\param g The digraph the algorithm runs on. |
321 | 321 |
Bfs(const Digraph &g) : |
322 | 322 |
G(&g), |
323 | 323 |
_pred(NULL), local_pred(false), |
324 | 324 |
_dist(NULL), local_dist(false), |
325 | 325 |
_reached(NULL), local_reached(false), |
326 | 326 |
_processed(NULL), local_processed(false) |
327 | 327 |
{ } |
328 | 328 |
|
329 | 329 |
///Destructor. |
330 | 330 |
~Bfs() |
331 | 331 |
{ |
332 | 332 |
if(local_pred) delete _pred; |
333 | 333 |
if(local_dist) delete _dist; |
334 | 334 |
if(local_reached) delete _reached; |
335 | 335 |
if(local_processed) delete _processed; |
336 | 336 |
} |
337 | 337 |
|
338 | 338 |
///Sets the map that stores the predecessor arcs. |
339 | 339 |
|
340 | 340 |
///Sets the map that stores the predecessor arcs. |
341 | 341 |
///If you don't use this function before calling \ref run(Node) "run()" |
342 | 342 |
///or \ref init(), an instance will be allocated automatically. |
343 | 343 |
///The destructor deallocates this automatically allocated map, |
344 | 344 |
///of course. |
345 | 345 |
///\return <tt> (*this) </tt> |
346 | 346 |
Bfs &predMap(PredMap &m) |
347 | 347 |
{ |
348 | 348 |
if(local_pred) { |
349 | 349 |
delete _pred; |
350 | 350 |
local_pred=false; |
351 | 351 |
} |
352 | 352 |
_pred = &m; |
353 | 353 |
return *this; |
354 | 354 |
} |
355 | 355 |
|
356 | 356 |
///Sets the map that indicates which nodes are reached. |
357 | 357 |
|
358 | 358 |
///Sets the map that indicates which nodes are reached. |
359 | 359 |
///If you don't use this function before calling \ref run(Node) "run()" |
360 | 360 |
///or \ref init(), an instance will be allocated automatically. |
361 | 361 |
///The destructor deallocates this automatically allocated map, |
362 | 362 |
///of course. |
363 | 363 |
///\return <tt> (*this) </tt> |
364 | 364 |
Bfs &reachedMap(ReachedMap &m) |
365 | 365 |
{ |
366 | 366 |
if(local_reached) { |
367 | 367 |
delete _reached; |
368 | 368 |
local_reached=false; |
369 | 369 |
} |
370 | 370 |
_reached = &m; |
371 | 371 |
return *this; |
372 | 372 |
} |
373 | 373 |
|
374 | 374 |
///Sets the map that indicates which nodes are processed. |
375 | 375 |
|
376 | 376 |
///Sets the map that indicates which nodes are processed. |
377 | 377 |
///If you don't use this function before calling \ref run(Node) "run()" |
378 | 378 |
///or \ref init(), an instance will be allocated automatically. |
379 | 379 |
///The destructor deallocates this automatically allocated map, |
380 | 380 |
///of course. |
381 | 381 |
///\return <tt> (*this) </tt> |
382 | 382 |
Bfs &processedMap(ProcessedMap &m) |
383 | 383 |
{ |
384 | 384 |
if(local_processed) { |
385 | 385 |
delete _processed; |
386 | 386 |
local_processed=false; |
387 | 387 |
} |
388 | 388 |
_processed = &m; |
389 | 389 |
return *this; |
390 | 390 |
} |
391 | 391 |
|
392 | 392 |
///Sets the map that stores the distances of the nodes. |
393 | 393 |
|
394 | 394 |
///Sets the map that stores the distances of the nodes calculated by |
395 | 395 |
///the algorithm. |
396 | 396 |
///If you don't use this function before calling \ref run(Node) "run()" |
397 | 397 |
///or \ref init(), an instance will be allocated automatically. |
398 | 398 |
///The destructor deallocates this automatically allocated map, |
399 | 399 |
///of course. |
400 | 400 |
///\return <tt> (*this) </tt> |
401 | 401 |
Bfs &distMap(DistMap &m) |
402 | 402 |
{ |
403 | 403 |
if(local_dist) { |
404 | 404 |
delete _dist; |
405 | 405 |
local_dist=false; |
406 | 406 |
} |
407 | 407 |
_dist = &m; |
408 | 408 |
return *this; |
409 | 409 |
} |
410 | 410 |
|
411 | 411 |
public: |
412 | 412 |
|
413 | 413 |
///\name Execution Control |
414 | 414 |
///The simplest way to execute the BFS algorithm is to use one of the |
415 | 415 |
///member functions called \ref run(Node) "run()".\n |
416 | 416 |
///If you need more control on the execution, first you have to call |
417 | 417 |
///\ref init(), then you can add several source nodes with |
418 | 418 |
///\ref addSource(). Finally the actual path computation can be |
419 | 419 |
///performed with one of the \ref start() functions. |
420 | 420 |
|
421 | 421 |
///@{ |
422 | 422 |
|
423 | 423 |
///\brief Initializes the internal data structures. |
424 | 424 |
/// |
425 | 425 |
///Initializes the internal data structures. |
426 | 426 |
void init() |
427 | 427 |
{ |
428 | 428 |
create_maps(); |
429 | 429 |
_queue.resize(countNodes(*G)); |
430 | 430 |
_queue_head=_queue_tail=0; |
431 | 431 |
_curr_dist=1; |
432 | 432 |
for ( NodeIt u(*G) ; u!=INVALID ; ++u ) { |
433 | 433 |
_pred->set(u,INVALID); |
434 | 434 |
_reached->set(u,false); |
435 | 435 |
_processed->set(u,false); |
436 | 436 |
} |
437 | 437 |
} |
438 | 438 |
|
439 | 439 |
///Adds a new source node. |
440 | 440 |
|
441 | 441 |
///Adds a new source node to the set of nodes to be processed. |
442 | 442 |
/// |
443 | 443 |
void addSource(Node s) |
444 | 444 |
{ |
445 | 445 |
if(!(*_reached)[s]) |
446 | 446 |
{ |
447 | 447 |
_reached->set(s,true); |
448 | 448 |
_pred->set(s,INVALID); |
449 | 449 |
_dist->set(s,0); |
450 | 450 |
_queue[_queue_head++]=s; |
451 | 451 |
_queue_next_dist=_queue_head; |
452 | 452 |
} |
453 | 453 |
} |
454 | 454 |
|
455 | 455 |
///Processes the next node. |
456 | 456 |
|
457 | 457 |
///Processes the next node. |
458 | 458 |
/// |
459 | 459 |
///\return The processed node. |
460 | 460 |
/// |
461 | 461 |
///\pre The queue must not be empty. |
462 | 462 |
Node processNextNode() |
463 | 463 |
{ |
464 | 464 |
if(_queue_tail==_queue_next_dist) { |
465 | 465 |
_curr_dist++; |
466 | 466 |
_queue_next_dist=_queue_head; |
467 | 467 |
} |
468 | 468 |
Node n=_queue[_queue_tail++]; |
469 | 469 |
_processed->set(n,true); |
470 | 470 |
Node m; |
471 | 471 |
for(OutArcIt e(*G,n);e!=INVALID;++e) |
472 | 472 |
if(!(*_reached)[m=G->target(e)]) { |
473 | 473 |
_queue[_queue_head++]=m; |
474 | 474 |
_reached->set(m,true); |
475 | 475 |
_pred->set(m,e); |
476 | 476 |
_dist->set(m,_curr_dist); |
477 | 477 |
} |
478 | 478 |
return n; |
479 | 479 |
} |
480 | 480 |
|
481 | 481 |
///Processes the next node. |
482 | 482 |
|
483 | 483 |
///Processes the next node and checks if the given target node |
484 | 484 |
///is reached. If the target node is reachable from the processed |
485 | 485 |
///node, then the \c reach parameter will be set to \c true. |
486 | 486 |
/// |
487 | 487 |
///\param target The target node. |
488 | 488 |
///\retval reach Indicates if the target node is reached. |
489 | 489 |
///It should be initially \c false. |
490 | 490 |
/// |
491 | 491 |
///\return The processed node. |
492 | 492 |
/// |
493 | 493 |
///\pre The queue must not be empty. |
494 | 494 |
Node processNextNode(Node target, bool& reach) |
495 | 495 |
{ |
496 | 496 |
if(_queue_tail==_queue_next_dist) { |
497 | 497 |
_curr_dist++; |
498 | 498 |
_queue_next_dist=_queue_head; |
499 | 499 |
} |
500 | 500 |
Node n=_queue[_queue_tail++]; |
501 | 501 |
_processed->set(n,true); |
502 | 502 |
Node m; |
503 | 503 |
for(OutArcIt e(*G,n);e!=INVALID;++e) |
504 | 504 |
if(!(*_reached)[m=G->target(e)]) { |
505 | 505 |
_queue[_queue_head++]=m; |
506 | 506 |
_reached->set(m,true); |
507 | 507 |
_pred->set(m,e); |
508 | 508 |
_dist->set(m,_curr_dist); |
509 | 509 |
reach = reach || (target == m); |
510 | 510 |
} |
511 | 511 |
return n; |
512 | 512 |
} |
513 | 513 |
|
514 | 514 |
///Processes the next node. |
515 | 515 |
|
516 | 516 |
///Processes the next node and checks if at least one of reached |
517 | 517 |
///nodes has \c true value in the \c nm node map. If one node |
518 | 518 |
///with \c true value is reachable from the processed node, then the |
519 | 519 |
///\c rnode parameter will be set to the first of such nodes. |
520 | 520 |
/// |
521 | 521 |
///\param nm A \c bool (or convertible) node map that indicates the |
522 | 522 |
///possible targets. |
523 | 523 |
///\retval rnode The reached target node. |
524 | 524 |
///It should be initially \c INVALID. |
525 | 525 |
/// |
526 | 526 |
///\return The processed node. |
527 | 527 |
/// |
528 | 528 |
///\pre The queue must not be empty. |
529 | 529 |
template<class NM> |
530 | 530 |
Node processNextNode(const NM& nm, Node& rnode) |
531 | 531 |
{ |
532 | 532 |
if(_queue_tail==_queue_next_dist) { |
533 | 533 |
_curr_dist++; |
534 | 534 |
_queue_next_dist=_queue_head; |
535 | 535 |
} |
536 | 536 |
Node n=_queue[_queue_tail++]; |
537 | 537 |
_processed->set(n,true); |
538 | 538 |
Node m; |
539 | 539 |
for(OutArcIt e(*G,n);e!=INVALID;++e) |
540 | 540 |
if(!(*_reached)[m=G->target(e)]) { |
541 | 541 |
_queue[_queue_head++]=m; |
542 | 542 |
_reached->set(m,true); |
543 | 543 |
_pred->set(m,e); |
544 | 544 |
_dist->set(m,_curr_dist); |
545 | 545 |
if (nm[m] && rnode == INVALID) rnode = m; |
546 | 546 |
} |
547 | 547 |
return n; |
548 | 548 |
} |
549 | 549 |
|
550 | 550 |
///The next node to be processed. |
551 | 551 |
|
552 | 552 |
///Returns the next node to be processed or \c INVALID if the queue |
553 | 553 |
///is empty. |
554 | 554 |
Node nextNode() const |
555 | 555 |
{ |
556 | 556 |
return _queue_tail<_queue_head?_queue[_queue_tail]:INVALID; |
557 | 557 |
} |
558 | 558 |
|
559 | 559 |
///Returns \c false if there are nodes to be processed. |
560 | 560 |
|
561 | 561 |
///Returns \c false if there are nodes to be processed |
562 | 562 |
///in the queue. |
563 | 563 |
bool emptyQueue() const { return _queue_tail==_queue_head; } |
564 | 564 |
|
565 | 565 |
///Returns the number of the nodes to be processed. |
566 | 566 |
|
567 | 567 |
///Returns the number of the nodes to be processed |
568 | 568 |
///in the queue. |
569 | 569 |
int queueSize() const { return _queue_head-_queue_tail; } |
570 | 570 |
|
571 | 571 |
///Executes the algorithm. |
572 | 572 |
|
573 | 573 |
///Executes the algorithm. |
574 | 574 |
/// |
575 | 575 |
///This method runs the %BFS algorithm from the root node(s) |
576 | 576 |
///in order to compute the shortest path to each node. |
577 | 577 |
/// |
578 | 578 |
///The algorithm computes |
579 | 579 |
///- the shortest path tree (forest), |
580 | 580 |
///- the distance of each node from the root(s). |
581 | 581 |
/// |
582 | 582 |
///\pre init() must be called and at least one root node should be |
583 | 583 |
///added with addSource() before using this function. |
584 | 584 |
/// |
585 | 585 |
///\note <tt>b.start()</tt> is just a shortcut of the following code. |
586 | 586 |
///\code |
587 | 587 |
/// while ( !b.emptyQueue() ) { |
588 | 588 |
/// b.processNextNode(); |
589 | 589 |
/// } |
590 | 590 |
///\endcode |
591 | 591 |
void start() |
592 | 592 |
{ |
593 | 593 |
while ( !emptyQueue() ) processNextNode(); |
594 | 594 |
} |
595 | 595 |
|
596 | 596 |
///Executes the algorithm until the given target node is reached. |
597 | 597 |
|
598 | 598 |
///Executes the algorithm until the given target node is reached. |
599 | 599 |
/// |
600 | 600 |
///This method runs the %BFS algorithm from the root node(s) |
601 | 601 |
///in order to compute the shortest path to \c t. |
602 | 602 |
/// |
603 | 603 |
///The algorithm computes |
604 | 604 |
///- the shortest path to \c t, |
605 | 605 |
///- the distance of \c t from the root(s). |
606 | 606 |
/// |
607 | 607 |
///\pre init() must be called and at least one root node should be |
608 | 608 |
///added with addSource() before using this function. |
609 | 609 |
/// |
610 | 610 |
///\note <tt>b.start(t)</tt> is just a shortcut of the following code. |
611 | 611 |
///\code |
612 | 612 |
/// bool reach = false; |
613 | 613 |
/// while ( !b.emptyQueue() && !reach ) { |
614 | 614 |
/// b.processNextNode(t, reach); |
615 | 615 |
/// } |
616 | 616 |
///\endcode |
617 | 617 |
void start(Node t) |
618 | 618 |
{ |
619 | 619 |
bool reach = false; |
620 | 620 |
while ( !emptyQueue() && !reach ) processNextNode(t, reach); |
621 | 621 |
} |
622 | 622 |
|
623 | 623 |
///Executes the algorithm until a condition is met. |
624 | 624 |
|
625 | 625 |
///Executes the algorithm until a condition is met. |
626 | 626 |
/// |
627 | 627 |
///This method runs the %BFS algorithm from the root node(s) in |
628 | 628 |
///order to compute the shortest path to a node \c v with |
629 | 629 |
/// <tt>nm[v]</tt> true, if such a node can be found. |
630 | 630 |
/// |
631 | 631 |
///\param nm A \c bool (or convertible) node map. The algorithm |
632 | 632 |
///will stop when it reaches a node \c v with <tt>nm[v]</tt> true. |
633 | 633 |
/// |
634 | 634 |
///\return The reached node \c v with <tt>nm[v]</tt> true or |
635 | 635 |
///\c INVALID if no such node was found. |
636 | 636 |
/// |
637 | 637 |
///\pre init() must be called and at least one root node should be |
638 | 638 |
///added with addSource() before using this function. |
639 | 639 |
/// |
640 | 640 |
///\note <tt>b.start(nm)</tt> is just a shortcut of the following code. |
641 | 641 |
///\code |
642 | 642 |
/// Node rnode = INVALID; |
643 | 643 |
/// while ( !b.emptyQueue() && rnode == INVALID ) { |
644 | 644 |
/// b.processNextNode(nm, rnode); |
645 | 645 |
/// } |
646 | 646 |
/// return rnode; |
647 | 647 |
///\endcode |
648 | 648 |
template<class NodeBoolMap> |
649 | 649 |
Node start(const NodeBoolMap &nm) |
650 | 650 |
{ |
651 | 651 |
Node rnode = INVALID; |
652 | 652 |
while ( !emptyQueue() && rnode == INVALID ) { |
653 | 653 |
processNextNode(nm, rnode); |
654 | 654 |
} |
655 | 655 |
return rnode; |
656 | 656 |
} |
657 | 657 |
|
658 | 658 |
///Runs the algorithm from the given source node. |
659 | 659 |
|
660 | 660 |
///This method runs the %BFS algorithm from node \c s |
661 | 661 |
///in order to compute the shortest path to each node. |
662 | 662 |
/// |
663 | 663 |
///The algorithm computes |
664 | 664 |
///- the shortest path tree, |
665 | 665 |
///- the distance of each node from the root. |
666 | 666 |
/// |
667 | 667 |
///\note <tt>b.run(s)</tt> is just a shortcut of the following code. |
668 | 668 |
///\code |
669 | 669 |
/// b.init(); |
670 | 670 |
/// b.addSource(s); |
671 | 671 |
/// b.start(); |
672 | 672 |
///\endcode |
673 | 673 |
void run(Node s) { |
674 | 674 |
init(); |
675 | 675 |
addSource(s); |
676 | 676 |
start(); |
677 | 677 |
} |
678 | 678 |
|
679 | 679 |
///Finds the shortest path between \c s and \c t. |
680 | 680 |
|
681 | 681 |
///This method runs the %BFS algorithm from node \c s |
682 | 682 |
///in order to compute the shortest path to node \c t |
683 | 683 |
///(it stops searching when \c t is processed). |
684 | 684 |
/// |
685 | 685 |
///\return \c true if \c t is reachable form \c s. |
686 | 686 |
/// |
687 | 687 |
///\note Apart from the return value, <tt>b.run(s,t)</tt> is just a |
688 | 688 |
///shortcut of the following code. |
689 | 689 |
///\code |
690 | 690 |
/// b.init(); |
691 | 691 |
/// b.addSource(s); |
692 | 692 |
/// b.start(t); |
693 | 693 |
///\endcode |
694 | 694 |
bool run(Node s,Node t) { |
695 | 695 |
init(); |
696 | 696 |
addSource(s); |
697 | 697 |
start(t); |
698 | 698 |
return reached(t); |
699 | 699 |
} |
700 | 700 |
|
701 | 701 |
///Runs the algorithm to visit all nodes in the digraph. |
702 | 702 |
|
703 | 703 |
///This method runs the %BFS algorithm in order to |
704 | 704 |
///compute the shortest path to each node. |
705 | 705 |
/// |
706 | 706 |
///The algorithm computes |
707 | 707 |
///- the shortest path tree (forest), |
708 | 708 |
///- the distance of each node from the root(s). |
709 | 709 |
/// |
710 | 710 |
///\note <tt>b.run(s)</tt> is just a shortcut of the following code. |
711 | 711 |
///\code |
712 | 712 |
/// b.init(); |
713 | 713 |
/// for (NodeIt n(gr); n != INVALID; ++n) { |
714 | 714 |
/// if (!b.reached(n)) { |
715 | 715 |
/// b.addSource(n); |
716 | 716 |
/// b.start(); |
717 | 717 |
/// } |
718 | 718 |
/// } |
719 | 719 |
///\endcode |
720 | 720 |
void run() { |
721 | 721 |
init(); |
722 | 722 |
for (NodeIt n(*G); n != INVALID; ++n) { |
723 | 723 |
if (!reached(n)) { |
724 | 724 |
addSource(n); |
725 | 725 |
start(); |
726 | 726 |
} |
727 | 727 |
} |
728 | 728 |
} |
729 | 729 |
|
730 | 730 |
///@} |
731 | 731 |
|
732 | 732 |
///\name Query Functions |
733 | 733 |
///The results of the BFS algorithm can be obtained using these |
734 | 734 |
///functions.\n |
735 | 735 |
///Either \ref run(Node) "run()" or \ref start() should be called |
736 | 736 |
///before using them. |
737 | 737 |
|
738 | 738 |
///@{ |
739 | 739 |
|
740 | 740 |
///The shortest path to a node. |
741 | 741 |
|
742 | 742 |
///Returns the shortest path to a node. |
743 | 743 |
/// |
744 | 744 |
///\warning \c t should be reached from the root(s). |
745 | 745 |
/// |
746 | 746 |
///\pre Either \ref run(Node) "run()" or \ref init() |
747 | 747 |
///must be called before using this function. |
748 | 748 |
Path path(Node t) const { return Path(*G, *_pred, t); } |
749 | 749 |
|
750 | 750 |
///The distance of a node from the root(s). |
751 | 751 |
|
752 | 752 |
///Returns the distance of a node from the root(s). |
753 | 753 |
/// |
754 | 754 |
///\warning If node \c v is not reached from the root(s), then |
755 | 755 |
///the return value of this function is undefined. |
756 | 756 |
/// |
757 | 757 |
///\pre Either \ref run(Node) "run()" or \ref init() |
758 | 758 |
///must be called before using this function. |
759 | 759 |
int dist(Node v) const { return (*_dist)[v]; } |
760 | 760 |
|
761 | 761 |
///Returns the 'previous arc' of the shortest path tree for a node. |
762 | 762 |
|
763 | 763 |
///This function returns the 'previous arc' of the shortest path |
764 | 764 |
///tree for the node \c v, i.e. it returns the last arc of a |
765 | 765 |
///shortest path from a root to \c v. It is \c INVALID if \c v |
766 | 766 |
///is not reached from the root(s) or if \c v is a root. |
767 | 767 |
/// |
768 | 768 |
///The shortest path tree used here is equal to the shortest path |
769 | 769 |
///tree used in \ref predNode(). |
770 | 770 |
/// |
771 | 771 |
///\pre Either \ref run(Node) "run()" or \ref init() |
772 | 772 |
///must be called before using this function. |
773 | 773 |
Arc predArc(Node v) const { return (*_pred)[v];} |
774 | 774 |
|
775 | 775 |
///Returns the 'previous node' of the shortest path tree for a node. |
776 | 776 |
|
777 | 777 |
///This function returns the 'previous node' of the shortest path |
778 | 778 |
///tree for the node \c v, i.e. it returns the last but one node |
779 | 779 |
///from a shortest path from a root to \c v. It is \c INVALID |
780 | 780 |
///if \c v is not reached from the root(s) or if \c v is a root. |
781 | 781 |
/// |
782 | 782 |
///The shortest path tree used here is equal to the shortest path |
783 | 783 |
///tree used in \ref predArc(). |
784 | 784 |
/// |
785 | 785 |
///\pre Either \ref run(Node) "run()" or \ref init() |
786 | 786 |
///must be called before using this function. |
787 | 787 |
Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID: |
788 | 788 |
G->source((*_pred)[v]); } |
789 | 789 |
|
790 | 790 |
///\brief Returns a const reference to the node map that stores the |
791 | 791 |
/// distances of the nodes. |
792 | 792 |
/// |
793 | 793 |
///Returns a const reference to the node map that stores the distances |
794 | 794 |
///of the nodes calculated by the algorithm. |
795 | 795 |
/// |
796 | 796 |
///\pre Either \ref run(Node) "run()" or \ref init() |
797 | 797 |
///must be called before using this function. |
798 | 798 |
const DistMap &distMap() const { return *_dist;} |
799 | 799 |
|
800 | 800 |
///\brief Returns a const reference to the node map that stores the |
801 | 801 |
///predecessor arcs. |
802 | 802 |
/// |
803 | 803 |
///Returns a const reference to the node map that stores the predecessor |
804 | 804 |
///arcs, which form the shortest path tree. |
805 | 805 |
/// |
806 | 806 |
///\pre Either \ref run(Node) "run()" or \ref init() |
807 | 807 |
///must be called before using this function. |
808 | 808 |
const PredMap &predMap() const { return *_pred;} |
809 | 809 |
|
810 | 810 |
///Checks if a node is reached from the root(s). |
811 | 811 |
|
812 | 812 |
///Returns \c true if \c v is reached from the root(s). |
813 | 813 |
/// |
814 | 814 |
///\pre Either \ref run(Node) "run()" or \ref init() |
815 | 815 |
///must be called before using this function. |
816 | 816 |
bool reached(Node v) const { return (*_reached)[v]; } |
817 | 817 |
|
818 | 818 |
///@} |
819 | 819 |
}; |
820 | 820 |
|
821 | 821 |
///Default traits class of bfs() function. |
822 | 822 |
|
823 | 823 |
///Default traits class of bfs() function. |
824 | 824 |
///\tparam GR Digraph type. |
825 | 825 |
template<class GR> |
826 | 826 |
struct BfsWizardDefaultTraits |
827 | 827 |
{ |
828 | 828 |
///The type of the digraph the algorithm runs on. |
829 | 829 |
typedef GR Digraph; |
830 | 830 |
|
831 | 831 |
///\brief The type of the map that stores the predecessor |
832 | 832 |
///arcs of the shortest paths. |
833 | 833 |
/// |
834 | 834 |
///The type of the map that stores the predecessor |
835 | 835 |
///arcs of the shortest paths. |
836 | 836 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
837 | 837 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
838 | 838 |
///Instantiates a PredMap. |
839 | 839 |
|
840 | 840 |
///This function instantiates a PredMap. |
841 | 841 |
///\param g is the digraph, to which we would like to define the |
842 | 842 |
///PredMap. |
843 | 843 |
static PredMap *createPredMap(const Digraph &g) |
844 | 844 |
{ |
845 | 845 |
return new PredMap(g); |
846 | 846 |
} |
847 | 847 |
|
848 | 848 |
///The type of the map that indicates which nodes are processed. |
849 | 849 |
|
850 | 850 |
///The type of the map that indicates which nodes are processed. |
851 | 851 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
852 | 852 |
///By default it is a NullMap. |
853 | 853 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
854 | 854 |
///Instantiates a ProcessedMap. |
855 | 855 |
|
856 | 856 |
///This function instantiates a ProcessedMap. |
857 | 857 |
///\param g is the digraph, to which |
858 | 858 |
///we would like to define the ProcessedMap. |
859 | 859 |
#ifdef DOXYGEN |
860 | 860 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
861 | 861 |
#else |
862 | 862 |
static ProcessedMap *createProcessedMap(const Digraph &) |
863 | 863 |
#endif |
864 | 864 |
{ |
865 | 865 |
return new ProcessedMap(); |
866 | 866 |
} |
867 | 867 |
|
868 | 868 |
///The type of the map that indicates which nodes are reached. |
869 | 869 |
|
870 | 870 |
///The type of the map that indicates which nodes are reached. |
871 | 871 |
///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
872 | 872 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
873 | 873 |
///Instantiates a ReachedMap. |
874 | 874 |
|
875 | 875 |
///This function instantiates a ReachedMap. |
876 | 876 |
///\param g is the digraph, to which |
877 | 877 |
///we would like to define the ReachedMap. |
878 | 878 |
static ReachedMap *createReachedMap(const Digraph &g) |
879 | 879 |
{ |
880 | 880 |
return new ReachedMap(g); |
881 | 881 |
} |
882 | 882 |
|
883 | 883 |
///The type of the map that stores the distances of the nodes. |
884 | 884 |
|
885 | 885 |
///The type of the map that stores the distances of the nodes. |
886 | 886 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
887 | 887 |
typedef typename Digraph::template NodeMap<int> DistMap; |
888 | 888 |
///Instantiates a DistMap. |
889 | 889 |
|
890 | 890 |
///This function instantiates a DistMap. |
891 | 891 |
///\param g is the digraph, to which we would like to define |
892 | 892 |
///the DistMap |
893 | 893 |
static DistMap *createDistMap(const Digraph &g) |
894 | 894 |
{ |
895 | 895 |
return new DistMap(g); |
896 | 896 |
} |
897 | 897 |
|
898 | 898 |
///The type of the shortest paths. |
899 | 899 |
|
900 | 900 |
///The type of the shortest paths. |
901 | 901 |
///It must meet the \ref concepts::Path "Path" concept. |
902 | 902 |
typedef lemon::Path<Digraph> Path; |
903 | 903 |
}; |
904 | 904 |
|
905 | 905 |
/// Default traits class used by BfsWizard |
906 | 906 |
|
907 | 907 |
/// To make it easier to use Bfs algorithm |
908 | 908 |
/// we have created a wizard class. |
909 | 909 |
/// This \ref BfsWizard class needs default traits, |
910 | 910 |
/// as well as the \ref Bfs class. |
911 | 911 |
/// The \ref BfsWizardBase is a class to be the default traits of the |
912 | 912 |
/// \ref BfsWizard class. |
913 | 913 |
template<class GR> |
914 | 914 |
class BfsWizardBase : public BfsWizardDefaultTraits<GR> |
915 | 915 |
{ |
916 | 916 |
|
917 | 917 |
typedef BfsWizardDefaultTraits<GR> Base; |
918 | 918 |
protected: |
919 | 919 |
//The type of the nodes in the digraph. |
920 | 920 |
typedef typename Base::Digraph::Node Node; |
921 | 921 |
|
922 | 922 |
//Pointer to the digraph the algorithm runs on. |
923 | 923 |
void *_g; |
924 | 924 |
//Pointer to the map of reached nodes. |
925 | 925 |
void *_reached; |
926 | 926 |
//Pointer to the map of processed nodes. |
927 | 927 |
void *_processed; |
928 | 928 |
//Pointer to the map of predecessors arcs. |
929 | 929 |
void *_pred; |
930 | 930 |
//Pointer to the map of distances. |
931 | 931 |
void *_dist; |
932 | 932 |
//Pointer to the shortest path to the target node. |
933 | 933 |
void *_path; |
934 | 934 |
//Pointer to the distance of the target node. |
935 | 935 |
int *_di; |
936 | 936 |
|
937 | 937 |
public: |
938 | 938 |
/// Constructor. |
939 | 939 |
|
940 | 940 |
/// This constructor does not require parameters, therefore it initiates |
941 | 941 |
/// all of the attributes to \c 0. |
942 | 942 |
BfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0), |
943 | 943 |
_dist(0), _path(0), _di(0) {} |
944 | 944 |
|
945 | 945 |
/// Constructor. |
946 | 946 |
|
947 | 947 |
/// This constructor requires one parameter, |
948 | 948 |
/// others are initiated to \c 0. |
949 | 949 |
/// \param g The digraph the algorithm runs on. |
950 | 950 |
BfsWizardBase(const GR &g) : |
951 | 951 |
_g(reinterpret_cast<void*>(const_cast<GR*>(&g))), |
952 | 952 |
_reached(0), _processed(0), _pred(0), _dist(0), _path(0), _di(0) {} |
953 | 953 |
|
954 | 954 |
}; |
955 | 955 |
|
956 | 956 |
/// Auxiliary class for the function-type interface of BFS algorithm. |
957 | 957 |
|
958 | 958 |
/// This auxiliary class is created to implement the |
959 | 959 |
/// \ref bfs() "function-type interface" of \ref Bfs algorithm. |
960 | 960 |
/// It does not have own \ref run(Node) "run()" method, it uses the |
961 | 961 |
/// functions and features of the plain \ref Bfs. |
962 | 962 |
/// |
963 | 963 |
/// This class should only be used through the \ref bfs() function, |
964 | 964 |
/// which makes it easier to use the algorithm. |
965 | 965 |
template<class TR> |
966 | 966 |
class BfsWizard : public TR |
967 | 967 |
{ |
968 | 968 |
typedef TR Base; |
969 | 969 |
|
970 | 970 |
///The type of the digraph the algorithm runs on. |
971 | 971 |
typedef typename TR::Digraph Digraph; |
972 | 972 |
|
973 | 973 |
typedef typename Digraph::Node Node; |
974 | 974 |
typedef typename Digraph::NodeIt NodeIt; |
975 | 975 |
typedef typename Digraph::Arc Arc; |
976 | 976 |
typedef typename Digraph::OutArcIt OutArcIt; |
977 | 977 |
|
978 | 978 |
///\brief The type of the map that stores the predecessor |
979 | 979 |
///arcs of the shortest paths. |
980 | 980 |
typedef typename TR::PredMap PredMap; |
981 | 981 |
///\brief The type of the map that stores the distances of the nodes. |
982 | 982 |
typedef typename TR::DistMap DistMap; |
983 | 983 |
///\brief The type of the map that indicates which nodes are reached. |
984 | 984 |
typedef typename TR::ReachedMap ReachedMap; |
985 | 985 |
///\brief The type of the map that indicates which nodes are processed. |
986 | 986 |
typedef typename TR::ProcessedMap ProcessedMap; |
987 | 987 |
///The type of the shortest paths |
988 | 988 |
typedef typename TR::Path Path; |
989 | 989 |
|
990 | 990 |
public: |
991 | 991 |
|
992 | 992 |
/// Constructor. |
993 | 993 |
BfsWizard() : TR() {} |
994 | 994 |
|
995 | 995 |
/// Constructor that requires parameters. |
996 | 996 |
|
997 | 997 |
/// Constructor that requires parameters. |
998 | 998 |
/// These parameters will be the default values for the traits class. |
999 | 999 |
/// \param g The digraph the algorithm runs on. |
1000 | 1000 |
BfsWizard(const Digraph &g) : |
1001 | 1001 |
TR(g) {} |
1002 | 1002 |
|
1003 | 1003 |
///Copy constructor |
1004 | 1004 |
BfsWizard(const TR &b) : TR(b) {} |
1005 | 1005 |
|
1006 | 1006 |
~BfsWizard() {} |
1007 | 1007 |
|
1008 | 1008 |
///Runs BFS algorithm from the given source node. |
1009 | 1009 |
|
1010 | 1010 |
///This method runs BFS algorithm from node \c s |
1011 | 1011 |
///in order to compute the shortest path to each node. |
1012 | 1012 |
void run(Node s) |
1013 | 1013 |
{ |
1014 | 1014 |
Bfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g)); |
1015 | 1015 |
if (Base::_pred) |
1016 | 1016 |
alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
1017 | 1017 |
if (Base::_dist) |
1018 | 1018 |
alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
1019 | 1019 |
if (Base::_reached) |
1020 | 1020 |
alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached)); |
1021 | 1021 |
if (Base::_processed) |
1022 | 1022 |
alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed)); |
1023 | 1023 |
if (s!=INVALID) |
1024 | 1024 |
alg.run(s); |
1025 | 1025 |
else |
1026 | 1026 |
alg.run(); |
1027 | 1027 |
} |
1028 | 1028 |
|
1029 | 1029 |
///Finds the shortest path between \c s and \c t. |
1030 | 1030 |
|
1031 | 1031 |
///This method runs BFS algorithm from node \c s |
1032 | 1032 |
///in order to compute the shortest path to node \c t |
1033 | 1033 |
///(it stops searching when \c t is processed). |
1034 | 1034 |
/// |
1035 | 1035 |
///\return \c true if \c t is reachable form \c s. |
1036 | 1036 |
bool run(Node s, Node t) |
1037 | 1037 |
{ |
1038 | 1038 |
Bfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g)); |
1039 | 1039 |
if (Base::_pred) |
1040 | 1040 |
alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
1041 | 1041 |
if (Base::_dist) |
1042 | 1042 |
alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
1043 | 1043 |
if (Base::_reached) |
1044 | 1044 |
alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached)); |
1045 | 1045 |
if (Base::_processed) |
1046 | 1046 |
alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed)); |
1047 | 1047 |
alg.run(s,t); |
1048 | 1048 |
if (Base::_path) |
1049 | 1049 |
*reinterpret_cast<Path*>(Base::_path) = alg.path(t); |
1050 | 1050 |
if (Base::_di) |
1051 | 1051 |
*Base::_di = alg.dist(t); |
1052 | 1052 |
return alg.reached(t); |
1053 | 1053 |
} |
1054 | 1054 |
|
1055 | 1055 |
///Runs BFS algorithm to visit all nodes in the digraph. |
1056 | 1056 |
|
1057 | 1057 |
///This method runs BFS algorithm in order to compute |
1058 | 1058 |
///the shortest path to each node. |
1059 | 1059 |
void run() |
1060 | 1060 |
{ |
1061 | 1061 |
run(INVALID); |
1062 | 1062 |
} |
1063 | 1063 |
|
1064 | 1064 |
template<class T> |
1065 | 1065 |
struct SetPredMapBase : public Base { |
1066 | 1066 |
typedef T PredMap; |
1067 | 1067 |
static PredMap *createPredMap(const Digraph &) { return 0; }; |
1068 | 1068 |
SetPredMapBase(const TR &b) : TR(b) {} |
1069 | 1069 |
}; |
1070 | 1070 |
///\brief \ref named-func-param "Named parameter" |
1071 | 1071 |
///for setting PredMap object. |
1072 | 1072 |
/// |
1073 | 1073 |
///\ref named-func-param "Named parameter" |
1074 | 1074 |
///for setting PredMap object. |
1075 | 1075 |
template<class T> |
1076 | 1076 |
BfsWizard<SetPredMapBase<T> > predMap(const T &t) |
1077 | 1077 |
{ |
1078 | 1078 |
Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1079 | 1079 |
return BfsWizard<SetPredMapBase<T> >(*this); |
1080 | 1080 |
} |
1081 | 1081 |
|
1082 | 1082 |
template<class T> |
1083 | 1083 |
struct SetReachedMapBase : public Base { |
1084 | 1084 |
typedef T ReachedMap; |
1085 | 1085 |
static ReachedMap *createReachedMap(const Digraph &) { return 0; }; |
1086 | 1086 |
SetReachedMapBase(const TR &b) : TR(b) {} |
1087 | 1087 |
}; |
1088 | 1088 |
///\brief \ref named-func-param "Named parameter" |
1089 | 1089 |
///for setting ReachedMap object. |
1090 | 1090 |
/// |
1091 | 1091 |
/// \ref named-func-param "Named parameter" |
1092 | 1092 |
///for setting ReachedMap object. |
1093 | 1093 |
template<class T> |
1094 | 1094 |
BfsWizard<SetReachedMapBase<T> > reachedMap(const T &t) |
1095 | 1095 |
{ |
1096 | 1096 |
Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1097 | 1097 |
return BfsWizard<SetReachedMapBase<T> >(*this); |
1098 | 1098 |
} |
1099 | 1099 |
|
1100 | 1100 |
template<class T> |
1101 | 1101 |
struct SetDistMapBase : public Base { |
1102 | 1102 |
typedef T DistMap; |
1103 | 1103 |
static DistMap *createDistMap(const Digraph &) { return 0; }; |
1104 | 1104 |
SetDistMapBase(const TR &b) : TR(b) {} |
1105 | 1105 |
}; |
1106 | 1106 |
///\brief \ref named-func-param "Named parameter" |
1107 | 1107 |
///for setting DistMap object. |
1108 | 1108 |
/// |
1109 | 1109 |
/// \ref named-func-param "Named parameter" |
1110 | 1110 |
///for setting DistMap object. |
1111 | 1111 |
template<class T> |
1112 | 1112 |
BfsWizard<SetDistMapBase<T> > distMap(const T &t) |
1113 | 1113 |
{ |
1114 | 1114 |
Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1115 | 1115 |
return BfsWizard<SetDistMapBase<T> >(*this); |
1116 | 1116 |
} |
1117 | 1117 |
|
1118 | 1118 |
template<class T> |
1119 | 1119 |
struct SetProcessedMapBase : public Base { |
1120 | 1120 |
typedef T ProcessedMap; |
1121 | 1121 |
static ProcessedMap *createProcessedMap(const Digraph &) { return 0; }; |
1122 | 1122 |
SetProcessedMapBase(const TR &b) : TR(b) {} |
1123 | 1123 |
}; |
1124 | 1124 |
///\brief \ref named-func-param "Named parameter" |
1125 | 1125 |
///for setting ProcessedMap object. |
1126 | 1126 |
/// |
1127 | 1127 |
/// \ref named-func-param "Named parameter" |
1128 | 1128 |
///for setting ProcessedMap object. |
1129 | 1129 |
template<class T> |
1130 | 1130 |
BfsWizard<SetProcessedMapBase<T> > processedMap(const T &t) |
1131 | 1131 |
{ |
1132 | 1132 |
Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1133 | 1133 |
return BfsWizard<SetProcessedMapBase<T> >(*this); |
1134 | 1134 |
} |
1135 | 1135 |
|
1136 | 1136 |
template<class T> |
1137 | 1137 |
struct SetPathBase : public Base { |
1138 | 1138 |
typedef T Path; |
1139 | 1139 |
SetPathBase(const TR &b) : TR(b) {} |
1140 | 1140 |
}; |
1141 | 1141 |
///\brief \ref named-func-param "Named parameter" |
1142 | 1142 |
///for getting the shortest path to the target node. |
1143 | 1143 |
/// |
1144 | 1144 |
///\ref named-func-param "Named parameter" |
1145 | 1145 |
///for getting the shortest path to the target node. |
1146 | 1146 |
template<class T> |
1147 | 1147 |
BfsWizard<SetPathBase<T> > path(const T &t) |
1148 | 1148 |
{ |
1149 | 1149 |
Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1150 | 1150 |
return BfsWizard<SetPathBase<T> >(*this); |
1151 | 1151 |
} |
1152 | 1152 |
|
1153 | 1153 |
///\brief \ref named-func-param "Named parameter" |
1154 | 1154 |
///for getting the distance of the target node. |
1155 | 1155 |
/// |
1156 | 1156 |
///\ref named-func-param "Named parameter" |
1157 | 1157 |
///for getting the distance of the target node. |
1158 | 1158 |
BfsWizard dist(const int &d) |
1159 | 1159 |
{ |
1160 | 1160 |
Base::_di=const_cast<int*>(&d); |
1161 | 1161 |
return *this; |
1162 | 1162 |
} |
1163 | 1163 |
|
1164 | 1164 |
}; |
1165 | 1165 |
|
1166 | 1166 |
///Function-type interface for BFS algorithm. |
1167 | 1167 |
|
1168 | 1168 |
/// \ingroup search |
1169 | 1169 |
///Function-type interface for BFS algorithm. |
1170 | 1170 |
/// |
1171 | 1171 |
///This function also has several \ref named-func-param "named parameters", |
1172 | 1172 |
///they are declared as the members of class \ref BfsWizard. |
1173 | 1173 |
///The following examples show how to use these parameters. |
1174 | 1174 |
///\code |
1175 | 1175 |
/// // Compute shortest path from node s to each node |
1176 | 1176 |
/// bfs(g).predMap(preds).distMap(dists).run(s); |
1177 | 1177 |
/// |
1178 | 1178 |
/// // Compute shortest path from s to t |
1179 | 1179 |
/// bool reached = bfs(g).path(p).dist(d).run(s,t); |
1180 | 1180 |
///\endcode |
1181 | 1181 |
///\warning Don't forget to put the \ref BfsWizard::run(Node) "run()" |
1182 | 1182 |
///to the end of the parameter list. |
1183 | 1183 |
///\sa BfsWizard |
1184 | 1184 |
///\sa Bfs |
1185 | 1185 |
template<class GR> |
1186 | 1186 |
BfsWizard<BfsWizardBase<GR> > |
1187 | 1187 |
bfs(const GR &digraph) |
1188 | 1188 |
{ |
1189 | 1189 |
return BfsWizard<BfsWizardBase<GR> >(digraph); |
1190 | 1190 |
} |
1191 | 1191 |
|
1192 | 1192 |
#ifdef DOXYGEN |
1193 | 1193 |
/// \brief Visitor class for BFS. |
1194 | 1194 |
/// |
1195 | 1195 |
/// This class defines the interface of the BfsVisit events, and |
1196 | 1196 |
/// it could be the base of a real visitor class. |
1197 |
template <typename |
|
1197 |
template <typename GR> |
|
1198 | 1198 |
struct BfsVisitor { |
1199 |
typedef |
|
1199 |
typedef GR Digraph; |
|
1200 | 1200 |
typedef typename Digraph::Arc Arc; |
1201 | 1201 |
typedef typename Digraph::Node Node; |
1202 | 1202 |
/// \brief Called for the source node(s) of the BFS. |
1203 | 1203 |
/// |
1204 | 1204 |
/// This function is called for the source node(s) of the BFS. |
1205 | 1205 |
void start(const Node& node) {} |
1206 | 1206 |
/// \brief Called when a node is reached first time. |
1207 | 1207 |
/// |
1208 | 1208 |
/// This function is called when a node is reached first time. |
1209 | 1209 |
void reach(const Node& node) {} |
1210 | 1210 |
/// \brief Called when a node is processed. |
1211 | 1211 |
/// |
1212 | 1212 |
/// This function is called when a node is processed. |
1213 | 1213 |
void process(const Node& node) {} |
1214 | 1214 |
/// \brief Called when an arc reaches a new node. |
1215 | 1215 |
/// |
1216 | 1216 |
/// This function is called when the BFS finds an arc whose target node |
1217 | 1217 |
/// is not reached yet. |
1218 | 1218 |
void discover(const Arc& arc) {} |
1219 | 1219 |
/// \brief Called when an arc is examined but its target node is |
1220 | 1220 |
/// already discovered. |
1221 | 1221 |
/// |
1222 | 1222 |
/// This function is called when an arc is examined but its target node is |
1223 | 1223 |
/// already discovered. |
1224 | 1224 |
void examine(const Arc& arc) {} |
1225 | 1225 |
}; |
1226 | 1226 |
#else |
1227 |
template <typename |
|
1227 |
template <typename GR> |
|
1228 | 1228 |
struct BfsVisitor { |
1229 |
typedef |
|
1229 |
typedef GR Digraph; |
|
1230 | 1230 |
typedef typename Digraph::Arc Arc; |
1231 | 1231 |
typedef typename Digraph::Node Node; |
1232 | 1232 |
void start(const Node&) {} |
1233 | 1233 |
void reach(const Node&) {} |
1234 | 1234 |
void process(const Node&) {} |
1235 | 1235 |
void discover(const Arc&) {} |
1236 | 1236 |
void examine(const Arc&) {} |
1237 | 1237 |
|
1238 | 1238 |
template <typename _Visitor> |
1239 | 1239 |
struct Constraints { |
1240 | 1240 |
void constraints() { |
1241 | 1241 |
Arc arc; |
1242 | 1242 |
Node node; |
1243 | 1243 |
visitor.start(node); |
1244 | 1244 |
visitor.reach(node); |
1245 | 1245 |
visitor.process(node); |
1246 | 1246 |
visitor.discover(arc); |
1247 | 1247 |
visitor.examine(arc); |
1248 | 1248 |
} |
1249 | 1249 |
_Visitor& visitor; |
1250 | 1250 |
}; |
1251 | 1251 |
}; |
1252 | 1252 |
#endif |
1253 | 1253 |
|
1254 | 1254 |
/// \brief Default traits class of BfsVisit class. |
1255 | 1255 |
/// |
1256 | 1256 |
/// Default traits class of BfsVisit class. |
1257 |
/// \tparam _Digraph The type of the digraph the algorithm runs on. |
|
1258 |
template<class _Digraph> |
|
1257 |
/// \tparam GR The type of the digraph the algorithm runs on. |
|
1258 |
template<class GR> |
|
1259 | 1259 |
struct BfsVisitDefaultTraits { |
1260 | 1260 |
|
1261 | 1261 |
/// \brief The type of the digraph the algorithm runs on. |
1262 |
typedef |
|
1262 |
typedef GR Digraph; |
|
1263 | 1263 |
|
1264 | 1264 |
/// \brief The type of the map that indicates which nodes are reached. |
1265 | 1265 |
/// |
1266 | 1266 |
/// The type of the map that indicates which nodes are reached. |
1267 | 1267 |
/// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
1268 | 1268 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
1269 | 1269 |
|
1270 | 1270 |
/// \brief Instantiates a ReachedMap. |
1271 | 1271 |
/// |
1272 | 1272 |
/// This function instantiates a ReachedMap. |
1273 | 1273 |
/// \param digraph is the digraph, to which |
1274 | 1274 |
/// we would like to define the ReachedMap. |
1275 | 1275 |
static ReachedMap *createReachedMap(const Digraph &digraph) { |
1276 | 1276 |
return new ReachedMap(digraph); |
1277 | 1277 |
} |
1278 | 1278 |
|
1279 | 1279 |
}; |
1280 | 1280 |
|
1281 | 1281 |
/// \ingroup search |
1282 | 1282 |
/// |
1283 |
/// \brief |
|
1283 |
/// \brief BFS algorithm class with visitor interface. |
|
1284 | 1284 |
/// |
1285 |
/// This class provides an efficient implementation of the |
|
1285 |
/// This class provides an efficient implementation of the BFS algorithm |
|
1286 | 1286 |
/// with visitor interface. |
1287 | 1287 |
/// |
1288 |
/// The |
|
1288 |
/// The BfsVisit class provides an alternative interface to the Bfs |
|
1289 | 1289 |
/// class. It works with callback mechanism, the BfsVisit object calls |
1290 | 1290 |
/// the member functions of the \c Visitor class on every BFS event. |
1291 | 1291 |
/// |
1292 | 1292 |
/// This interface of the BFS algorithm should be used in special cases |
1293 | 1293 |
/// when extra actions have to be performed in connection with certain |
1294 | 1294 |
/// events of the BFS algorithm. Otherwise consider to use Bfs or bfs() |
1295 | 1295 |
/// instead. |
1296 | 1296 |
/// |
1297 |
/// \tparam _Digraph The type of the digraph the algorithm runs on. |
|
1298 |
/// The default value is |
|
1299 |
/// \ref ListDigraph. The value of _Digraph is not used directly by |
|
1300 |
/// \ref BfsVisit, it is only passed to \ref BfsVisitDefaultTraits. |
|
1301 |
/// \tparam _Visitor The Visitor type that is used by the algorithm. |
|
1302 |
/// \ref BfsVisitor "BfsVisitor<_Digraph>" is an empty visitor, which |
|
1297 |
/// \tparam GR The type of the digraph the algorithm runs on. |
|
1298 |
/// The default type is \ref ListDigraph. |
|
1299 |
/// The value of GR is not used directly by \ref BfsVisit, |
|
1300 |
/// it is only passed to \ref BfsVisitDefaultTraits. |
|
1301 |
/// \tparam VS The Visitor type that is used by the algorithm. |
|
1302 |
/// \ref BfsVisitor "BfsVisitor<GR>" is an empty visitor, which |
|
1303 | 1303 |
/// does not observe the BFS events. If you want to observe the BFS |
1304 | 1304 |
/// events, you should implement your own visitor class. |
1305 |
/// \tparam |
|
1305 |
/// \tparam TR Traits class to set various data types used by the |
|
1306 | 1306 |
/// algorithm. The default traits class is |
1307 |
/// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits< |
|
1307 |
/// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits<GR>". |
|
1308 | 1308 |
/// See \ref BfsVisitDefaultTraits for the documentation of |
1309 | 1309 |
/// a BFS visit traits class. |
1310 | 1310 |
#ifdef DOXYGEN |
1311 |
template <typename |
|
1311 |
template <typename GR, typename VS, typename TR> |
|
1312 | 1312 |
#else |
1313 |
template <typename _Digraph = ListDigraph, |
|
1314 |
typename _Visitor = BfsVisitor<_Digraph>, |
|
1315 |
|
|
1313 |
template <typename GR = ListDigraph, |
|
1314 |
typename VS = BfsVisitor<GR>, |
|
1315 |
typename TR = BfsVisitDefaultTraits<GR> > |
|
1316 | 1316 |
#endif |
1317 | 1317 |
class BfsVisit { |
1318 | 1318 |
public: |
1319 | 1319 |
|
1320 | 1320 |
///The traits class. |
1321 |
typedef |
|
1321 |
typedef TR Traits; |
|
1322 | 1322 |
|
1323 | 1323 |
///The type of the digraph the algorithm runs on. |
1324 | 1324 |
typedef typename Traits::Digraph Digraph; |
1325 | 1325 |
|
1326 | 1326 |
///The visitor type used by the algorithm. |
1327 |
typedef |
|
1327 |
typedef VS Visitor; |
|
1328 | 1328 |
|
1329 | 1329 |
///The type of the map that indicates which nodes are reached. |
1330 | 1330 |
typedef typename Traits::ReachedMap ReachedMap; |
1331 | 1331 |
|
1332 | 1332 |
private: |
1333 | 1333 |
|
1334 | 1334 |
typedef typename Digraph::Node Node; |
1335 | 1335 |
typedef typename Digraph::NodeIt NodeIt; |
1336 | 1336 |
typedef typename Digraph::Arc Arc; |
1337 | 1337 |
typedef typename Digraph::OutArcIt OutArcIt; |
1338 | 1338 |
|
1339 | 1339 |
//Pointer to the underlying digraph. |
1340 | 1340 |
const Digraph *_digraph; |
1341 | 1341 |
//Pointer to the visitor object. |
1342 | 1342 |
Visitor *_visitor; |
1343 | 1343 |
//Pointer to the map of reached status of the nodes. |
1344 | 1344 |
ReachedMap *_reached; |
1345 | 1345 |
//Indicates if _reached is locally allocated (true) or not. |
1346 | 1346 |
bool local_reached; |
1347 | 1347 |
|
1348 | 1348 |
std::vector<typename Digraph::Node> _list; |
1349 | 1349 |
int _list_front, _list_back; |
1350 | 1350 |
|
1351 | 1351 |
//Creates the maps if necessary. |
1352 | 1352 |
void create_maps() { |
1353 | 1353 |
if(!_reached) { |
1354 | 1354 |
local_reached = true; |
1355 | 1355 |
_reached = Traits::createReachedMap(*_digraph); |
1356 | 1356 |
} |
1357 | 1357 |
} |
1358 | 1358 |
|
1359 | 1359 |
protected: |
1360 | 1360 |
|
1361 | 1361 |
BfsVisit() {} |
1362 | 1362 |
|
1363 | 1363 |
public: |
1364 | 1364 |
|
1365 | 1365 |
typedef BfsVisit Create; |
1366 | 1366 |
|
1367 | 1367 |
/// \name Named Template Parameters |
1368 | 1368 |
|
1369 | 1369 |
///@{ |
1370 | 1370 |
template <class T> |
1371 | 1371 |
struct SetReachedMapTraits : public Traits { |
1372 | 1372 |
typedef T ReachedMap; |
1373 | 1373 |
static ReachedMap *createReachedMap(const Digraph &digraph) { |
1374 | 1374 |
LEMON_ASSERT(false, "ReachedMap is not initialized"); |
1375 | 1375 |
return 0; // ignore warnings |
1376 | 1376 |
} |
1377 | 1377 |
}; |
1378 | 1378 |
/// \brief \ref named-templ-param "Named parameter" for setting |
1379 | 1379 |
/// ReachedMap type. |
1380 | 1380 |
/// |
1381 | 1381 |
/// \ref named-templ-param "Named parameter" for setting ReachedMap type. |
1382 | 1382 |
template <class T> |
1383 | 1383 |
struct SetReachedMap : public BfsVisit< Digraph, Visitor, |
1384 | 1384 |
SetReachedMapTraits<T> > { |
1385 | 1385 |
typedef BfsVisit< Digraph, Visitor, SetReachedMapTraits<T> > Create; |
1386 | 1386 |
}; |
1387 | 1387 |
///@} |
1388 | 1388 |
|
1389 | 1389 |
public: |
1390 | 1390 |
|
1391 | 1391 |
/// \brief Constructor. |
1392 | 1392 |
/// |
1393 | 1393 |
/// Constructor. |
1394 | 1394 |
/// |
1395 | 1395 |
/// \param digraph The digraph the algorithm runs on. |
1396 | 1396 |
/// \param visitor The visitor object of the algorithm. |
1397 | 1397 |
BfsVisit(const Digraph& digraph, Visitor& visitor) |
1398 | 1398 |
: _digraph(&digraph), _visitor(&visitor), |
1399 | 1399 |
_reached(0), local_reached(false) {} |
1400 | 1400 |
|
1401 | 1401 |
/// \brief Destructor. |
1402 | 1402 |
~BfsVisit() { |
1403 | 1403 |
if(local_reached) delete _reached; |
1404 | 1404 |
} |
1405 | 1405 |
|
1406 | 1406 |
/// \brief Sets the map that indicates which nodes are reached. |
1407 | 1407 |
/// |
1408 | 1408 |
/// Sets the map that indicates which nodes are reached. |
1409 | 1409 |
/// If you don't use this function before calling \ref run(Node) "run()" |
1410 | 1410 |
/// or \ref init(), an instance will be allocated automatically. |
1411 | 1411 |
/// The destructor deallocates this automatically allocated map, |
1412 | 1412 |
/// of course. |
1413 | 1413 |
/// \return <tt> (*this) </tt> |
1414 | 1414 |
BfsVisit &reachedMap(ReachedMap &m) { |
1415 | 1415 |
if(local_reached) { |
1416 | 1416 |
delete _reached; |
1417 | 1417 |
local_reached = false; |
1418 | 1418 |
} |
1419 | 1419 |
_reached = &m; |
1420 | 1420 |
return *this; |
1421 | 1421 |
} |
1422 | 1422 |
|
1423 | 1423 |
public: |
1424 | 1424 |
|
1425 | 1425 |
/// \name Execution Control |
1426 | 1426 |
/// The simplest way to execute the BFS algorithm is to use one of the |
1427 | 1427 |
/// member functions called \ref run(Node) "run()".\n |
1428 | 1428 |
/// If you need more control on the execution, first you have to call |
1429 | 1429 |
/// \ref init(), then you can add several source nodes with |
1430 | 1430 |
/// \ref addSource(). Finally the actual path computation can be |
1431 | 1431 |
/// performed with one of the \ref start() functions. |
1432 | 1432 |
|
1433 | 1433 |
/// @{ |
1434 | 1434 |
|
1435 | 1435 |
/// \brief Initializes the internal data structures. |
1436 | 1436 |
/// |
1437 | 1437 |
/// Initializes the internal data structures. |
1438 | 1438 |
void init() { |
1439 | 1439 |
create_maps(); |
1440 | 1440 |
_list.resize(countNodes(*_digraph)); |
1441 | 1441 |
_list_front = _list_back = -1; |
1442 | 1442 |
for (NodeIt u(*_digraph) ; u != INVALID ; ++u) { |
1443 | 1443 |
_reached->set(u, false); |
1444 | 1444 |
} |
1445 | 1445 |
} |
1446 | 1446 |
|
1447 | 1447 |
/// \brief Adds a new source node. |
1448 | 1448 |
/// |
1449 | 1449 |
/// Adds a new source node to the set of nodes to be processed. |
1450 | 1450 |
void addSource(Node s) { |
1451 | 1451 |
if(!(*_reached)[s]) { |
1452 | 1452 |
_reached->set(s,true); |
1453 | 1453 |
_visitor->start(s); |
1454 | 1454 |
_visitor->reach(s); |
1455 | 1455 |
_list[++_list_back] = s; |
1456 | 1456 |
} |
1457 | 1457 |
} |
1458 | 1458 |
|
1459 | 1459 |
/// \brief Processes the next node. |
1460 | 1460 |
/// |
1461 | 1461 |
/// Processes the next node. |
1462 | 1462 |
/// |
1463 | 1463 |
/// \return The processed node. |
1464 | 1464 |
/// |
1465 | 1465 |
/// \pre The queue must not be empty. |
1466 | 1466 |
Node processNextNode() { |
1467 | 1467 |
Node n = _list[++_list_front]; |
1468 | 1468 |
_visitor->process(n); |
1469 | 1469 |
Arc e; |
1470 | 1470 |
for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) { |
1471 | 1471 |
Node m = _digraph->target(e); |
1472 | 1472 |
if (!(*_reached)[m]) { |
1473 | 1473 |
_visitor->discover(e); |
1474 | 1474 |
_visitor->reach(m); |
1475 | 1475 |
_reached->set(m, true); |
1476 | 1476 |
_list[++_list_back] = m; |
1477 | 1477 |
} else { |
1478 | 1478 |
_visitor->examine(e); |
1479 | 1479 |
} |
1480 | 1480 |
} |
1481 | 1481 |
return n; |
1482 | 1482 |
} |
1483 | 1483 |
|
1484 | 1484 |
/// \brief Processes the next node. |
1485 | 1485 |
/// |
1486 | 1486 |
/// Processes the next node and checks if the given target node |
1487 | 1487 |
/// is reached. If the target node is reachable from the processed |
1488 | 1488 |
/// node, then the \c reach parameter will be set to \c true. |
1489 | 1489 |
/// |
1490 | 1490 |
/// \param target The target node. |
1491 | 1491 |
/// \retval reach Indicates if the target node is reached. |
1492 | 1492 |
/// It should be initially \c false. |
1493 | 1493 |
/// |
1494 | 1494 |
/// \return The processed node. |
1495 | 1495 |
/// |
1496 | 1496 |
/// \pre The queue must not be empty. |
1497 | 1497 |
Node processNextNode(Node target, bool& reach) { |
1498 | 1498 |
Node n = _list[++_list_front]; |
1499 | 1499 |
_visitor->process(n); |
1500 | 1500 |
Arc e; |
1501 | 1501 |
for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) { |
1502 | 1502 |
Node m = _digraph->target(e); |
1503 | 1503 |
if (!(*_reached)[m]) { |
1504 | 1504 |
_visitor->discover(e); |
1505 | 1505 |
_visitor->reach(m); |
1506 | 1506 |
_reached->set(m, true); |
1507 | 1507 |
_list[++_list_back] = m; |
1508 | 1508 |
reach = reach || (target == m); |
1509 | 1509 |
} else { |
1510 | 1510 |
_visitor->examine(e); |
1511 | 1511 |
} |
1512 | 1512 |
} |
1513 | 1513 |
return n; |
1514 | 1514 |
} |
1515 | 1515 |
|
1516 | 1516 |
/// \brief Processes the next node. |
1517 | 1517 |
/// |
1518 | 1518 |
/// Processes the next node and checks if at least one of reached |
1519 | 1519 |
/// nodes has \c true value in the \c nm node map. If one node |
1520 | 1520 |
/// with \c true value is reachable from the processed node, then the |
1521 | 1521 |
/// \c rnode parameter will be set to the first of such nodes. |
1522 | 1522 |
/// |
1523 | 1523 |
/// \param nm A \c bool (or convertible) node map that indicates the |
1524 | 1524 |
/// possible targets. |
1525 | 1525 |
/// \retval rnode The reached target node. |
1526 | 1526 |
/// It should be initially \c INVALID. |
1527 | 1527 |
/// |
1528 | 1528 |
/// \return The processed node. |
1529 | 1529 |
/// |
1530 | 1530 |
/// \pre The queue must not be empty. |
1531 | 1531 |
template <typename NM> |
1532 | 1532 |
Node processNextNode(const NM& nm, Node& rnode) { |
1533 | 1533 |
Node n = _list[++_list_front]; |
1534 | 1534 |
_visitor->process(n); |
1535 | 1535 |
Arc e; |
1536 | 1536 |
for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) { |
1537 | 1537 |
Node m = _digraph->target(e); |
1538 | 1538 |
if (!(*_reached)[m]) { |
1539 | 1539 |
_visitor->discover(e); |
1540 | 1540 |
_visitor->reach(m); |
1541 | 1541 |
_reached->set(m, true); |
1542 | 1542 |
_list[++_list_back] = m; |
1543 | 1543 |
if (nm[m] && rnode == INVALID) rnode = m; |
1544 | 1544 |
} else { |
1545 | 1545 |
_visitor->examine(e); |
1546 | 1546 |
} |
1547 | 1547 |
} |
1548 | 1548 |
return n; |
1549 | 1549 |
} |
1550 | 1550 |
|
1551 | 1551 |
/// \brief The next node to be processed. |
1552 | 1552 |
/// |
1553 | 1553 |
/// Returns the next node to be processed or \c INVALID if the queue |
1554 | 1554 |
/// is empty. |
1555 | 1555 |
Node nextNode() const { |
1556 | 1556 |
return _list_front != _list_back ? _list[_list_front + 1] : INVALID; |
1557 | 1557 |
} |
1558 | 1558 |
|
1559 | 1559 |
/// \brief Returns \c false if there are nodes |
1560 | 1560 |
/// to be processed. |
1561 | 1561 |
/// |
1562 | 1562 |
/// Returns \c false if there are nodes |
1563 | 1563 |
/// to be processed in the queue. |
1564 | 1564 |
bool emptyQueue() const { return _list_front == _list_back; } |
1565 | 1565 |
|
1566 | 1566 |
/// \brief Returns the number of the nodes to be processed. |
1567 | 1567 |
/// |
1568 | 1568 |
/// Returns the number of the nodes to be processed in the queue. |
1569 | 1569 |
int queueSize() const { return _list_back - _list_front; } |
1570 | 1570 |
|
1571 | 1571 |
/// \brief Executes the algorithm. |
1572 | 1572 |
/// |
1573 | 1573 |
/// Executes the algorithm. |
1574 | 1574 |
/// |
1575 | 1575 |
/// This method runs the %BFS algorithm from the root node(s) |
1576 | 1576 |
/// in order to compute the shortest path to each node. |
1577 | 1577 |
/// |
1578 | 1578 |
/// The algorithm computes |
1579 | 1579 |
/// - the shortest path tree (forest), |
1580 | 1580 |
/// - the distance of each node from the root(s). |
1581 | 1581 |
/// |
1582 | 1582 |
/// \pre init() must be called and at least one root node should be added |
1583 | 1583 |
/// with addSource() before using this function. |
1584 | 1584 |
/// |
1585 | 1585 |
/// \note <tt>b.start()</tt> is just a shortcut of the following code. |
1586 | 1586 |
/// \code |
1587 | 1587 |
/// while ( !b.emptyQueue() ) { |
1588 | 1588 |
/// b.processNextNode(); |
1589 | 1589 |
/// } |
1590 | 1590 |
/// \endcode |
1591 | 1591 |
void start() { |
1592 | 1592 |
while ( !emptyQueue() ) processNextNode(); |
1593 | 1593 |
} |
1594 | 1594 |
|
1595 | 1595 |
/// \brief Executes the algorithm until the given target node is reached. |
1596 | 1596 |
/// |
1597 | 1597 |
/// Executes the algorithm until the given target node is reached. |
1598 | 1598 |
/// |
1599 | 1599 |
/// This method runs the %BFS algorithm from the root node(s) |
1600 | 1600 |
/// in order to compute the shortest path to \c t. |
1601 | 1601 |
/// |
1602 | 1602 |
/// The algorithm computes |
1603 | 1603 |
/// - the shortest path to \c t, |
1604 | 1604 |
/// - the distance of \c t from the root(s). |
1605 | 1605 |
/// |
1606 | 1606 |
/// \pre init() must be called and at least one root node should be |
1607 | 1607 |
/// added with addSource() before using this function. |
1608 | 1608 |
/// |
1609 | 1609 |
/// \note <tt>b.start(t)</tt> is just a shortcut of the following code. |
1610 | 1610 |
/// \code |
1611 | 1611 |
/// bool reach = false; |
1612 | 1612 |
/// while ( !b.emptyQueue() && !reach ) { |
1613 | 1613 |
/// b.processNextNode(t, reach); |
1614 | 1614 |
/// } |
1615 | 1615 |
/// \endcode |
1616 | 1616 |
void start(Node t) { |
1617 | 1617 |
bool reach = false; |
1618 | 1618 |
while ( !emptyQueue() && !reach ) processNextNode(t, reach); |
1619 | 1619 |
} |
1620 | 1620 |
|
1621 | 1621 |
/// \brief Executes the algorithm until a condition is met. |
1622 | 1622 |
/// |
1623 | 1623 |
/// Executes the algorithm until a condition is met. |
1624 | 1624 |
/// |
1625 | 1625 |
/// This method runs the %BFS algorithm from the root node(s) in |
1626 | 1626 |
/// order to compute the shortest path to a node \c v with |
1627 | 1627 |
/// <tt>nm[v]</tt> true, if such a node can be found. |
1628 | 1628 |
/// |
1629 | 1629 |
/// \param nm must be a bool (or convertible) node map. The |
1630 | 1630 |
/// algorithm will stop when it reaches a node \c v with |
1631 | 1631 |
/// <tt>nm[v]</tt> true. |
1632 | 1632 |
/// |
1633 | 1633 |
/// \return The reached node \c v with <tt>nm[v]</tt> true or |
1634 | 1634 |
/// \c INVALID if no such node was found. |
1635 | 1635 |
/// |
1636 | 1636 |
/// \pre init() must be called and at least one root node should be |
1637 | 1637 |
/// added with addSource() before using this function. |
1638 | 1638 |
/// |
1639 | 1639 |
/// \note <tt>b.start(nm)</tt> is just a shortcut of the following code. |
1640 | 1640 |
/// \code |
1641 | 1641 |
/// Node rnode = INVALID; |
1642 | 1642 |
/// while ( !b.emptyQueue() && rnode == INVALID ) { |
1643 | 1643 |
/// b.processNextNode(nm, rnode); |
1644 | 1644 |
/// } |
1645 | 1645 |
/// return rnode; |
1646 | 1646 |
/// \endcode |
1647 | 1647 |
template <typename NM> |
1648 | 1648 |
Node start(const NM &nm) { |
1649 | 1649 |
Node rnode = INVALID; |
1650 | 1650 |
while ( !emptyQueue() && rnode == INVALID ) { |
1651 | 1651 |
processNextNode(nm, rnode); |
1652 | 1652 |
} |
1653 | 1653 |
return rnode; |
1654 | 1654 |
} |
1655 | 1655 |
|
1656 | 1656 |
/// \brief Runs the algorithm from the given source node. |
1657 | 1657 |
/// |
1658 | 1658 |
/// This method runs the %BFS algorithm from node \c s |
1659 | 1659 |
/// in order to compute the shortest path to each node. |
1660 | 1660 |
/// |
1661 | 1661 |
/// The algorithm computes |
1662 | 1662 |
/// - the shortest path tree, |
1663 | 1663 |
/// - the distance of each node from the root. |
1664 | 1664 |
/// |
1665 | 1665 |
/// \note <tt>b.run(s)</tt> is just a shortcut of the following code. |
1666 | 1666 |
///\code |
1667 | 1667 |
/// b.init(); |
1668 | 1668 |
/// b.addSource(s); |
1669 | 1669 |
/// b.start(); |
1670 | 1670 |
///\endcode |
1671 | 1671 |
void run(Node s) { |
1672 | 1672 |
init(); |
1673 | 1673 |
addSource(s); |
1674 | 1674 |
start(); |
1675 | 1675 |
} |
1676 | 1676 |
|
1677 | 1677 |
/// \brief Finds the shortest path between \c s and \c t. |
1678 | 1678 |
/// |
1679 | 1679 |
/// This method runs the %BFS algorithm from node \c s |
1680 | 1680 |
/// in order to compute the shortest path to node \c t |
1681 | 1681 |
/// (it stops searching when \c t is processed). |
1682 | 1682 |
/// |
1683 | 1683 |
/// \return \c true if \c t is reachable form \c s. |
1684 | 1684 |
/// |
1685 | 1685 |
/// \note Apart from the return value, <tt>b.run(s,t)</tt> is just a |
1686 | 1686 |
/// shortcut of the following code. |
1687 | 1687 |
///\code |
1688 | 1688 |
/// b.init(); |
1689 | 1689 |
/// b.addSource(s); |
1690 | 1690 |
/// b.start(t); |
1691 | 1691 |
///\endcode |
1692 | 1692 |
bool run(Node s,Node t) { |
1693 | 1693 |
init(); |
1694 | 1694 |
addSource(s); |
1695 | 1695 |
start(t); |
1696 | 1696 |
return reached(t); |
1697 | 1697 |
} |
1698 | 1698 |
|
1699 | 1699 |
/// \brief Runs the algorithm to visit all nodes in the digraph. |
1700 | 1700 |
/// |
1701 | 1701 |
/// This method runs the %BFS algorithm in order to |
1702 | 1702 |
/// compute the shortest path to each node. |
1703 | 1703 |
/// |
1704 | 1704 |
/// The algorithm computes |
1705 | 1705 |
/// - the shortest path tree (forest), |
1706 | 1706 |
/// - the distance of each node from the root(s). |
1707 | 1707 |
/// |
1708 | 1708 |
/// \note <tt>b.run(s)</tt> is just a shortcut of the following code. |
1709 | 1709 |
///\code |
1710 | 1710 |
/// b.init(); |
1711 | 1711 |
/// for (NodeIt n(gr); n != INVALID; ++n) { |
1712 | 1712 |
/// if (!b.reached(n)) { |
1713 | 1713 |
/// b.addSource(n); |
1714 | 1714 |
/// b.start(); |
1715 | 1715 |
/// } |
1716 | 1716 |
/// } |
1717 | 1717 |
///\endcode |
1718 | 1718 |
void run() { |
1719 | 1719 |
init(); |
1720 | 1720 |
for (NodeIt it(*_digraph); it != INVALID; ++it) { |
1721 | 1721 |
if (!reached(it)) { |
1722 | 1722 |
addSource(it); |
1723 | 1723 |
start(); |
1724 | 1724 |
} |
1725 | 1725 |
} |
1726 | 1726 |
} |
1727 | 1727 |
|
1728 | 1728 |
///@} |
1729 | 1729 |
|
1730 | 1730 |
/// \name Query Functions |
1731 | 1731 |
/// The results of the BFS algorithm can be obtained using these |
1732 | 1732 |
/// functions.\n |
1733 | 1733 |
/// Either \ref run(Node) "run()" or \ref start() should be called |
1734 | 1734 |
/// before using them. |
1735 | 1735 |
|
1736 | 1736 |
///@{ |
1737 | 1737 |
|
1738 | 1738 |
/// \brief Checks if a node is reached from the root(s). |
1739 | 1739 |
/// |
1740 | 1740 |
/// Returns \c true if \c v is reached from the root(s). |
1741 | 1741 |
/// |
1742 | 1742 |
/// \pre Either \ref run(Node) "run()" or \ref init() |
1743 | 1743 |
/// must be called before using this function. |
1744 | 1744 |
bool reached(Node v) const { return (*_reached)[v]; } |
1745 | 1745 |
|
1746 | 1746 |
///@} |
1747 | 1747 |
|
1748 | 1748 |
}; |
1749 | 1749 |
|
1750 | 1750 |
} //END OF NAMESPACE LEMON |
1751 | 1751 |
|
1752 | 1752 |
#endif |
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) 2003-2009 |
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_BITS_ARRAY_MAP_H |
20 | 20 |
#define LEMON_BITS_ARRAY_MAP_H |
21 | 21 |
|
22 | 22 |
#include <memory> |
23 | 23 |
|
24 | 24 |
#include <lemon/bits/traits.h> |
25 | 25 |
#include <lemon/bits/alteration_notifier.h> |
26 | 26 |
#include <lemon/concept_check.h> |
27 | 27 |
#include <lemon/concepts/maps.h> |
28 | 28 |
|
29 | 29 |
// \ingroup graphbits |
30 | 30 |
// \file |
31 | 31 |
// \brief Graph map based on the array storage. |
32 | 32 |
|
33 | 33 |
namespace lemon { |
34 | 34 |
|
35 | 35 |
// \ingroup graphbits |
36 | 36 |
// |
37 | 37 |
// \brief Graph map based on the array storage. |
38 | 38 |
// |
39 | 39 |
// The ArrayMap template class is graph map structure that automatically |
40 | 40 |
// updates the map when a key is added to or erased from the graph. |
41 | 41 |
// This map uses the allocators to implement the container functionality. |
42 | 42 |
// |
43 | 43 |
// The template parameters are the Graph, the current Item type and |
44 | 44 |
// the Value type of the map. |
45 | 45 |
template <typename _Graph, typename _Item, typename _Value> |
46 | 46 |
class ArrayMap |
47 | 47 |
: public ItemSetTraits<_Graph, _Item>::ItemNotifier::ObserverBase { |
48 | 48 |
public: |
49 | 49 |
// The graph type. |
50 | 50 |
typedef _Graph Graph; |
51 | 51 |
// The item type. |
52 | 52 |
typedef _Item Item; |
53 | 53 |
// The reference map tag. |
54 | 54 |
typedef True ReferenceMapTag; |
55 | 55 |
|
56 | 56 |
// The key type of the map. |
57 | 57 |
typedef _Item Key; |
58 | 58 |
// The value type of the map. |
59 | 59 |
typedef _Value Value; |
60 | 60 |
|
61 | 61 |
// The const reference type of the map. |
62 | 62 |
typedef const _Value& ConstReference; |
63 | 63 |
// The reference type of the map. |
64 | 64 |
typedef _Value& Reference; |
65 | 65 |
|
66 | 66 |
// The notifier type. |
67 | 67 |
typedef typename ItemSetTraits<_Graph, _Item>::ItemNotifier Notifier; |
68 | 68 |
|
69 | 69 |
// The MapBase of the Map which imlements the core regisitry function. |
70 | 70 |
typedef typename Notifier::ObserverBase Parent; |
71 | 71 |
|
72 | 72 |
private: |
73 | 73 |
typedef std::allocator<Value> Allocator; |
74 | 74 |
|
75 | 75 |
public: |
76 | 76 |
|
77 | 77 |
// \brief Graph initialized map constructor. |
78 | 78 |
// |
79 | 79 |
// Graph initialized map constructor. |
80 | 80 |
explicit ArrayMap(const Graph& graph) { |
81 | 81 |
Parent::attach(graph.notifier(Item())); |
82 | 82 |
allocate_memory(); |
83 | 83 |
Notifier* nf = Parent::notifier(); |
84 | 84 |
Item it; |
85 | 85 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
86 | 86 |
int id = nf->id(it);; |
87 | 87 |
allocator.construct(&(values[id]), Value()); |
88 | 88 |
} |
89 | 89 |
} |
90 | 90 |
|
91 | 91 |
// \brief Constructor to use default value to initialize the map. |
92 | 92 |
// |
93 | 93 |
// It constructs a map and initialize all of the the map. |
94 | 94 |
ArrayMap(const Graph& graph, const Value& value) { |
95 | 95 |
Parent::attach(graph.notifier(Item())); |
96 | 96 |
allocate_memory(); |
97 | 97 |
Notifier* nf = Parent::notifier(); |
98 | 98 |
Item it; |
99 | 99 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
100 | 100 |
int id = nf->id(it);; |
101 | 101 |
allocator.construct(&(values[id]), value); |
102 | 102 |
} |
103 | 103 |
} |
104 | 104 |
|
105 | 105 |
private: |
106 | 106 |
// \brief Constructor to copy a map of the same map type. |
107 | 107 |
// |
108 | 108 |
// Constructor to copy a map of the same map type. |
109 | 109 |
ArrayMap(const ArrayMap& copy) : Parent() { |
110 | 110 |
if (copy.attached()) { |
111 | 111 |
attach(*copy.notifier()); |
112 | 112 |
} |
113 | 113 |
capacity = copy.capacity; |
114 | 114 |
if (capacity == 0) return; |
115 | 115 |
values = allocator.allocate(capacity); |
116 | 116 |
Notifier* nf = Parent::notifier(); |
117 | 117 |
Item it; |
118 | 118 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
119 | 119 |
int id = nf->id(it);; |
120 | 120 |
allocator.construct(&(values[id]), copy.values[id]); |
121 | 121 |
} |
122 | 122 |
} |
123 | 123 |
|
124 | 124 |
// \brief Assign operator. |
125 | 125 |
// |
126 | 126 |
// This operator assigns for each item in the map the |
127 | 127 |
// value mapped to the same item in the copied map. |
128 | 128 |
// The parameter map should be indiced with the same |
129 | 129 |
// itemset because this assign operator does not change |
130 | 130 |
// the container of the map. |
131 | 131 |
ArrayMap& operator=(const ArrayMap& cmap) { |
132 | 132 |
return operator=<ArrayMap>(cmap); |
133 | 133 |
} |
134 | 134 |
|
135 | 135 |
|
136 | 136 |
// \brief Template assign operator. |
137 | 137 |
// |
138 |
// The given parameter should |
|
138 |
// The given parameter should conform to the ReadMap |
|
139 | 139 |
// concecpt and could be indiced by the current item set of |
140 | 140 |
// the NodeMap. In this case the value for each item |
141 | 141 |
// is assigned by the value of the given ReadMap. |
142 | 142 |
template <typename CMap> |
143 | 143 |
ArrayMap& operator=(const CMap& cmap) { |
144 | 144 |
checkConcept<concepts::ReadMap<Key, _Value>, CMap>(); |
145 | 145 |
const typename Parent::Notifier* nf = Parent::notifier(); |
146 | 146 |
Item it; |
147 | 147 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
148 | 148 |
set(it, cmap[it]); |
149 | 149 |
} |
150 | 150 |
return *this; |
151 | 151 |
} |
152 | 152 |
|
153 | 153 |
public: |
154 | 154 |
// \brief The destructor of the map. |
155 | 155 |
// |
156 | 156 |
// The destructor of the map. |
157 | 157 |
virtual ~ArrayMap() { |
158 | 158 |
if (attached()) { |
159 | 159 |
clear(); |
160 | 160 |
detach(); |
161 | 161 |
} |
162 | 162 |
} |
163 | 163 |
|
164 | 164 |
protected: |
165 | 165 |
|
166 | 166 |
using Parent::attach; |
167 | 167 |
using Parent::detach; |
168 | 168 |
using Parent::attached; |
169 | 169 |
|
170 | 170 |
public: |
171 | 171 |
|
172 | 172 |
// \brief The subscript operator. |
173 | 173 |
// |
174 | 174 |
// The subscript operator. The map can be subscripted by the |
175 | 175 |
// actual keys of the graph. |
176 | 176 |
Value& operator[](const Key& key) { |
177 | 177 |
int id = Parent::notifier()->id(key); |
178 | 178 |
return values[id]; |
179 | 179 |
} |
180 | 180 |
|
181 | 181 |
// \brief The const subscript operator. |
182 | 182 |
// |
183 | 183 |
// The const subscript operator. The map can be subscripted by the |
184 | 184 |
// actual keys of the graph. |
185 | 185 |
const Value& operator[](const Key& key) const { |
186 | 186 |
int id = Parent::notifier()->id(key); |
187 | 187 |
return values[id]; |
188 | 188 |
} |
189 | 189 |
|
190 | 190 |
// \brief Setter function of the map. |
191 | 191 |
// |
192 | 192 |
// Setter function of the map. Equivalent with map[key] = val. |
193 | 193 |
// This is a compatibility feature with the not dereferable maps. |
194 | 194 |
void set(const Key& key, const Value& val) { |
195 | 195 |
(*this)[key] = val; |
196 | 196 |
} |
197 | 197 |
|
198 | 198 |
protected: |
199 | 199 |
|
200 | 200 |
// \brief Adds a new key to the map. |
201 | 201 |
// |
202 | 202 |
// It adds a new key to the map. It is called by the observer notifier |
203 | 203 |
// and it overrides the add() member function of the observer base. |
204 | 204 |
virtual void add(const Key& key) { |
205 | 205 |
Notifier* nf = Parent::notifier(); |
206 | 206 |
int id = nf->id(key); |
207 | 207 |
if (id >= capacity) { |
208 | 208 |
int new_capacity = (capacity == 0 ? 1 : capacity); |
209 | 209 |
while (new_capacity <= id) { |
210 | 210 |
new_capacity <<= 1; |
211 | 211 |
} |
212 | 212 |
Value* new_values = allocator.allocate(new_capacity); |
213 | 213 |
Item it; |
214 | 214 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
215 | 215 |
int jd = nf->id(it);; |
216 | 216 |
if (id != jd) { |
217 | 217 |
allocator.construct(&(new_values[jd]), values[jd]); |
218 | 218 |
allocator.destroy(&(values[jd])); |
219 | 219 |
} |
220 | 220 |
} |
221 | 221 |
if (capacity != 0) allocator.deallocate(values, capacity); |
222 | 222 |
values = new_values; |
223 | 223 |
capacity = new_capacity; |
224 | 224 |
} |
225 | 225 |
allocator.construct(&(values[id]), Value()); |
226 | 226 |
} |
227 | 227 |
|
228 | 228 |
// \brief Adds more new keys to the map. |
229 | 229 |
// |
230 | 230 |
// It adds more new keys to the map. It is called by the observer notifier |
231 | 231 |
// and it overrides the add() member function of the observer base. |
232 | 232 |
virtual void add(const std::vector<Key>& keys) { |
233 | 233 |
Notifier* nf = Parent::notifier(); |
234 | 234 |
int max_id = -1; |
235 | 235 |
for (int i = 0; i < int(keys.size()); ++i) { |
236 | 236 |
int id = nf->id(keys[i]); |
237 | 237 |
if (id > max_id) { |
238 | 238 |
max_id = id; |
239 | 239 |
} |
240 | 240 |
} |
241 | 241 |
if (max_id >= capacity) { |
242 | 242 |
int new_capacity = (capacity == 0 ? 1 : capacity); |
243 | 243 |
while (new_capacity <= max_id) { |
244 | 244 |
new_capacity <<= 1; |
245 | 245 |
} |
246 | 246 |
Value* new_values = allocator.allocate(new_capacity); |
247 | 247 |
Item it; |
248 | 248 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
249 | 249 |
int id = nf->id(it); |
250 | 250 |
bool found = false; |
251 | 251 |
for (int i = 0; i < int(keys.size()); ++i) { |
252 | 252 |
int jd = nf->id(keys[i]); |
253 | 253 |
if (id == jd) { |
254 | 254 |
found = true; |
255 | 255 |
break; |
256 | 256 |
} |
257 | 257 |
} |
258 | 258 |
if (found) continue; |
259 | 259 |
allocator.construct(&(new_values[id]), values[id]); |
260 | 260 |
allocator.destroy(&(values[id])); |
261 | 261 |
} |
262 | 262 |
if (capacity != 0) allocator.deallocate(values, capacity); |
263 | 263 |
values = new_values; |
264 | 264 |
capacity = new_capacity; |
265 | 265 |
} |
266 | 266 |
for (int i = 0; i < int(keys.size()); ++i) { |
267 | 267 |
int id = nf->id(keys[i]); |
268 | 268 |
allocator.construct(&(values[id]), Value()); |
269 | 269 |
} |
270 | 270 |
} |
271 | 271 |
|
272 | 272 |
// \brief Erase a key from the map. |
273 | 273 |
// |
274 | 274 |
// Erase a key from the map. It is called by the observer notifier |
275 | 275 |
// and it overrides the erase() member function of the observer base. |
276 | 276 |
virtual void erase(const Key& key) { |
277 | 277 |
int id = Parent::notifier()->id(key); |
278 | 278 |
allocator.destroy(&(values[id])); |
279 | 279 |
} |
280 | 280 |
|
281 | 281 |
// \brief Erase more keys from the map. |
282 | 282 |
// |
283 | 283 |
// Erase more keys from the map. It is called by the observer notifier |
284 | 284 |
// and it overrides the erase() member function of the observer base. |
285 | 285 |
virtual void erase(const std::vector<Key>& keys) { |
286 | 286 |
for (int i = 0; i < int(keys.size()); ++i) { |
287 | 287 |
int id = Parent::notifier()->id(keys[i]); |
288 | 288 |
allocator.destroy(&(values[id])); |
289 | 289 |
} |
290 | 290 |
} |
291 | 291 |
|
292 | 292 |
// \brief Builds the map. |
293 | 293 |
// |
294 | 294 |
// It builds the map. It is called by the observer notifier |
295 | 295 |
// and it overrides the build() member function of the observer base. |
296 | 296 |
virtual void build() { |
297 | 297 |
Notifier* nf = Parent::notifier(); |
298 | 298 |
allocate_memory(); |
299 | 299 |
Item it; |
300 | 300 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
301 | 301 |
int id = nf->id(it);; |
302 | 302 |
allocator.construct(&(values[id]), Value()); |
303 | 303 |
} |
304 | 304 |
} |
305 | 305 |
|
306 | 306 |
// \brief Clear the map. |
307 | 307 |
// |
308 | 308 |
// It erase all items from the map. It is called by the observer notifier |
309 | 309 |
// and it overrides the clear() member function of the observer base. |
310 | 310 |
virtual void clear() { |
311 | 311 |
Notifier* nf = Parent::notifier(); |
312 | 312 |
if (capacity != 0) { |
313 | 313 |
Item it; |
314 | 314 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
315 | 315 |
int id = nf->id(it); |
316 | 316 |
allocator.destroy(&(values[id])); |
317 | 317 |
} |
318 | 318 |
allocator.deallocate(values, capacity); |
319 | 319 |
capacity = 0; |
320 | 320 |
} |
321 | 321 |
} |
322 | 322 |
|
323 | 323 |
private: |
324 | 324 |
|
325 | 325 |
void allocate_memory() { |
326 | 326 |
int max_id = Parent::notifier()->maxId(); |
327 | 327 |
if (max_id == -1) { |
328 | 328 |
capacity = 0; |
329 | 329 |
values = 0; |
330 | 330 |
return; |
331 | 331 |
} |
332 | 332 |
capacity = 1; |
333 | 333 |
while (capacity <= max_id) { |
334 | 334 |
capacity <<= 1; |
335 | 335 |
} |
336 | 336 |
values = allocator.allocate(capacity); |
337 | 337 |
} |
338 | 338 |
|
339 | 339 |
int capacity; |
340 | 340 |
Value* values; |
341 | 341 |
Allocator allocator; |
342 | 342 |
|
343 | 343 |
}; |
344 | 344 |
|
345 | 345 |
} |
346 | 346 |
|
347 | 347 |
#endif |
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) 2003-2009 |
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_BITS_VECTOR_MAP_H |
20 | 20 |
#define LEMON_BITS_VECTOR_MAP_H |
21 | 21 |
|
22 | 22 |
#include <vector> |
23 | 23 |
#include <algorithm> |
24 | 24 |
|
25 | 25 |
#include <lemon/core.h> |
26 | 26 |
#include <lemon/bits/alteration_notifier.h> |
27 | 27 |
|
28 | 28 |
#include <lemon/concept_check.h> |
29 | 29 |
#include <lemon/concepts/maps.h> |
30 | 30 |
|
31 | 31 |
//\ingroup graphbits |
32 | 32 |
// |
33 | 33 |
//\file |
34 | 34 |
//\brief Vector based graph maps. |
35 | 35 |
namespace lemon { |
36 | 36 |
|
37 | 37 |
// \ingroup graphbits |
38 | 38 |
// |
39 | 39 |
// \brief Graph map based on the std::vector storage. |
40 | 40 |
// |
41 | 41 |
// The VectorMap template class is graph map structure that automatically |
42 | 42 |
// updates the map when a key is added to or erased from the graph. |
43 | 43 |
// This map type uses std::vector to store the values. |
44 | 44 |
// |
45 | 45 |
// \tparam _Graph The graph this map is attached to. |
46 | 46 |
// \tparam _Item The item type of the graph items. |
47 | 47 |
// \tparam _Value The value type of the map. |
48 | 48 |
template <typename _Graph, typename _Item, typename _Value> |
49 | 49 |
class VectorMap |
50 | 50 |
: public ItemSetTraits<_Graph, _Item>::ItemNotifier::ObserverBase { |
51 | 51 |
private: |
52 | 52 |
|
53 | 53 |
// The container type of the map. |
54 | 54 |
typedef std::vector<_Value> Container; |
55 | 55 |
|
56 | 56 |
public: |
57 | 57 |
|
58 | 58 |
// The graph type of the map. |
59 | 59 |
typedef _Graph Graph; |
60 | 60 |
// The item type of the map. |
61 | 61 |
typedef _Item Item; |
62 | 62 |
// The reference map tag. |
63 | 63 |
typedef True ReferenceMapTag; |
64 | 64 |
|
65 | 65 |
// The key type of the map. |
66 | 66 |
typedef _Item Key; |
67 | 67 |
// The value type of the map. |
68 | 68 |
typedef _Value Value; |
69 | 69 |
|
70 | 70 |
// The notifier type. |
71 | 71 |
typedef typename ItemSetTraits<_Graph, _Item>::ItemNotifier Notifier; |
72 | 72 |
|
73 | 73 |
// The map type. |
74 | 74 |
typedef VectorMap Map; |
75 | 75 |
// The base class of the map. |
76 | 76 |
typedef typename Notifier::ObserverBase Parent; |
77 | 77 |
|
78 | 78 |
// The reference type of the map; |
79 | 79 |
typedef typename Container::reference Reference; |
80 | 80 |
// The const reference type of the map; |
81 | 81 |
typedef typename Container::const_reference ConstReference; |
82 | 82 |
|
83 | 83 |
|
84 | 84 |
// \brief Constructor to attach the new map into the notifier. |
85 | 85 |
// |
86 | 86 |
// It constructs a map and attachs it into the notifier. |
87 | 87 |
// It adds all the items of the graph to the map. |
88 | 88 |
VectorMap(const Graph& graph) { |
89 | 89 |
Parent::attach(graph.notifier(Item())); |
90 | 90 |
container.resize(Parent::notifier()->maxId() + 1); |
91 | 91 |
} |
92 | 92 |
|
93 | 93 |
// \brief Constructor uses given value to initialize the map. |
94 | 94 |
// |
95 | 95 |
// It constructs a map uses a given value to initialize the map. |
96 | 96 |
// It adds all the items of the graph to the map. |
97 | 97 |
VectorMap(const Graph& graph, const Value& value) { |
98 | 98 |
Parent::attach(graph.notifier(Item())); |
99 | 99 |
container.resize(Parent::notifier()->maxId() + 1, value); |
100 | 100 |
} |
101 | 101 |
|
102 | 102 |
private: |
103 | 103 |
// \brief Copy constructor |
104 | 104 |
// |
105 | 105 |
// Copy constructor. |
106 | 106 |
VectorMap(const VectorMap& _copy) : Parent() { |
107 | 107 |
if (_copy.attached()) { |
108 | 108 |
Parent::attach(*_copy.notifier()); |
109 | 109 |
container = _copy.container; |
110 | 110 |
} |
111 | 111 |
} |
112 | 112 |
|
113 | 113 |
// \brief Assign operator. |
114 | 114 |
// |
115 | 115 |
// This operator assigns for each item in the map the |
116 | 116 |
// value mapped to the same item in the copied map. |
117 | 117 |
// The parameter map should be indiced with the same |
118 | 118 |
// itemset because this assign operator does not change |
119 | 119 |
// the container of the map. |
120 | 120 |
VectorMap& operator=(const VectorMap& cmap) { |
121 | 121 |
return operator=<VectorMap>(cmap); |
122 | 122 |
} |
123 | 123 |
|
124 | 124 |
|
125 | 125 |
// \brief Template assign operator. |
126 | 126 |
// |
127 |
// The given parameter should |
|
127 |
// The given parameter should conform to the ReadMap |
|
128 | 128 |
// concecpt and could be indiced by the current item set of |
129 | 129 |
// the NodeMap. In this case the value for each item |
130 | 130 |
// is assigned by the value of the given ReadMap. |
131 | 131 |
template <typename CMap> |
132 | 132 |
VectorMap& operator=(const CMap& cmap) { |
133 | 133 |
checkConcept<concepts::ReadMap<Key, _Value>, CMap>(); |
134 | 134 |
const typename Parent::Notifier* nf = Parent::notifier(); |
135 | 135 |
Item it; |
136 | 136 |
for (nf->first(it); it != INVALID; nf->next(it)) { |
137 | 137 |
set(it, cmap[it]); |
138 | 138 |
} |
139 | 139 |
return *this; |
140 | 140 |
} |
141 | 141 |
|
142 | 142 |
public: |
143 | 143 |
|
144 | 144 |
// \brief The subcript operator. |
145 | 145 |
// |
146 | 146 |
// The subscript operator. The map can be subscripted by the |
147 | 147 |
// actual items of the graph. |
148 | 148 |
Reference operator[](const Key& key) { |
149 | 149 |
return container[Parent::notifier()->id(key)]; |
150 | 150 |
} |
151 | 151 |
|
152 | 152 |
// \brief The const subcript operator. |
153 | 153 |
// |
154 | 154 |
// The const subscript operator. The map can be subscripted by the |
155 | 155 |
// actual items of the graph. |
156 | 156 |
ConstReference operator[](const Key& key) const { |
157 | 157 |
return container[Parent::notifier()->id(key)]; |
158 | 158 |
} |
159 | 159 |
|
160 | 160 |
|
161 | 161 |
// \brief The setter function of the map. |
162 | 162 |
// |
163 | 163 |
// It the same as operator[](key) = value expression. |
164 | 164 |
void set(const Key& key, const Value& value) { |
165 | 165 |
(*this)[key] = value; |
166 | 166 |
} |
167 | 167 |
|
168 | 168 |
protected: |
169 | 169 |
|
170 | 170 |
// \brief Adds a new key to the map. |
171 | 171 |
// |
172 | 172 |
// It adds a new key to the map. It is called by the observer notifier |
173 | 173 |
// and it overrides the add() member function of the observer base. |
174 | 174 |
virtual void add(const Key& key) { |
175 | 175 |
int id = Parent::notifier()->id(key); |
176 | 176 |
if (id >= int(container.size())) { |
177 | 177 |
container.resize(id + 1); |
178 | 178 |
} |
179 | 179 |
} |
180 | 180 |
|
181 | 181 |
// \brief Adds more new keys to the map. |
182 | 182 |
// |
183 | 183 |
// It adds more new keys to the map. It is called by the observer notifier |
184 | 184 |
// and it overrides the add() member function of the observer base. |
185 | 185 |
virtual void add(const std::vector<Key>& keys) { |
186 | 186 |
int max = container.size() - 1; |
187 | 187 |
for (int i = 0; i < int(keys.size()); ++i) { |
188 | 188 |
int id = Parent::notifier()->id(keys[i]); |
189 | 189 |
if (id >= max) { |
190 | 190 |
max = id; |
191 | 191 |
} |
192 | 192 |
} |
193 | 193 |
container.resize(max + 1); |
194 | 194 |
} |
195 | 195 |
|
196 | 196 |
// \brief Erase a key from the map. |
197 | 197 |
// |
198 | 198 |
// Erase a key from the map. It is called by the observer notifier |
199 | 199 |
// and it overrides the erase() member function of the observer base. |
200 | 200 |
virtual void erase(const Key& key) { |
201 | 201 |
container[Parent::notifier()->id(key)] = Value(); |
202 | 202 |
} |
203 | 203 |
|
204 | 204 |
// \brief Erase more keys from the map. |
205 | 205 |
// |
206 | 206 |
// It erases more keys from the map. It is called by the observer notifier |
207 | 207 |
// and it overrides the erase() member function of the observer base. |
208 | 208 |
virtual void erase(const std::vector<Key>& keys) { |
209 | 209 |
for (int i = 0; i < int(keys.size()); ++i) { |
210 | 210 |
container[Parent::notifier()->id(keys[i])] = Value(); |
211 | 211 |
} |
212 | 212 |
} |
213 | 213 |
|
214 | 214 |
// \brief Build the map. |
215 | 215 |
// |
216 | 216 |
// It builds the map. It is called by the observer notifier |
217 | 217 |
// and it overrides the build() member function of the observer base. |
218 | 218 |
virtual void build() { |
219 | 219 |
int size = Parent::notifier()->maxId() + 1; |
220 | 220 |
container.reserve(size); |
221 | 221 |
container.resize(size); |
222 | 222 |
} |
223 | 223 |
|
224 | 224 |
// \brief Clear the map. |
225 | 225 |
// |
226 | 226 |
// It erases all items from the map. It is called by the observer notifier |
227 | 227 |
// and it overrides the clear() member function of the observer base. |
228 | 228 |
virtual void clear() { |
229 | 229 |
container.clear(); |
230 | 230 |
} |
231 | 231 |
|
232 | 232 |
private: |
233 | 233 |
|
234 | 234 |
Container container; |
235 | 235 |
|
236 | 236 |
}; |
237 | 237 |
|
238 | 238 |
} |
239 | 239 |
|
240 | 240 |
#endif |
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) 2003-2009 |
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_CIRCULATION_H |
20 | 20 |
#define LEMON_CIRCULATION_H |
21 | 21 |
|
22 | 22 |
#include <lemon/tolerance.h> |
23 | 23 |
#include <lemon/elevator.h> |
24 | 24 |
|
25 | 25 |
///\ingroup max_flow |
26 | 26 |
///\file |
27 | 27 |
///\brief Push-relabel algorithm for finding a feasible circulation. |
28 | 28 |
/// |
29 | 29 |
namespace lemon { |
30 | 30 |
|
31 | 31 |
/// \brief Default traits class of Circulation class. |
32 | 32 |
/// |
33 | 33 |
/// Default traits class of Circulation class. |
34 |
/// \tparam _Diraph Digraph type. |
|
35 |
/// \tparam _LCapMap Lower bound capacity map type. |
|
36 |
/// \tparam _UCapMap Upper bound capacity map type. |
|
37 |
/// \tparam _DeltaMap Delta map type. |
|
38 |
template <typename _Diraph, typename _LCapMap, |
|
39 |
typename _UCapMap, typename _DeltaMap> |
|
34 |
/// \tparam GR Digraph type. |
|
35 |
/// \tparam LM Lower bound capacity map type. |
|
36 |
/// \tparam UM Upper bound capacity map type. |
|
37 |
/// \tparam DM Delta map type. |
|
38 |
template <typename GR, typename LM, |
|
39 |
typename UM, typename DM> |
|
40 | 40 |
struct CirculationDefaultTraits { |
41 | 41 |
|
42 | 42 |
/// \brief The type of the digraph the algorithm runs on. |
43 |
typedef |
|
43 |
typedef GR Digraph; |
|
44 | 44 |
|
45 | 45 |
/// \brief The type of the map that stores the circulation lower |
46 | 46 |
/// bound. |
47 | 47 |
/// |
48 | 48 |
/// The type of the map that stores the circulation lower bound. |
49 | 49 |
/// It must meet the \ref concepts::ReadMap "ReadMap" concept. |
50 |
typedef |
|
50 |
typedef LM LCapMap; |
|
51 | 51 |
|
52 | 52 |
/// \brief The type of the map that stores the circulation upper |
53 | 53 |
/// bound. |
54 | 54 |
/// |
55 | 55 |
/// The type of the map that stores the circulation upper bound. |
56 | 56 |
/// It must meet the \ref concepts::ReadMap "ReadMap" concept. |
57 |
typedef |
|
57 |
typedef UM UCapMap; |
|
58 | 58 |
|
59 | 59 |
/// \brief The type of the map that stores the lower bound for |
60 | 60 |
/// the supply of the nodes. |
61 | 61 |
/// |
62 | 62 |
/// The type of the map that stores the lower bound for the supply |
63 | 63 |
/// of the nodes. It must meet the \ref concepts::ReadMap "ReadMap" |
64 | 64 |
/// concept. |
65 |
typedef |
|
65 |
typedef DM DeltaMap; |
|
66 | 66 |
|
67 | 67 |
/// \brief The type of the flow values. |
68 | 68 |
typedef typename DeltaMap::Value Value; |
69 | 69 |
|
70 | 70 |
/// \brief The type of the map that stores the flow values. |
71 | 71 |
/// |
72 | 72 |
/// The type of the map that stores the flow values. |
73 | 73 |
/// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
74 | 74 |
typedef typename Digraph::template ArcMap<Value> FlowMap; |
75 | 75 |
|
76 | 76 |
/// \brief Instantiates a FlowMap. |
77 | 77 |
/// |
78 | 78 |
/// This function instantiates a \ref FlowMap. |
79 | 79 |
/// \param digraph The digraph, to which we would like to define |
80 | 80 |
/// the flow map. |
81 | 81 |
static FlowMap* createFlowMap(const Digraph& digraph) { |
82 | 82 |
return new FlowMap(digraph); |
83 | 83 |
} |
84 | 84 |
|
85 | 85 |
/// \brief The elevator type used by the algorithm. |
86 | 86 |
/// |
87 | 87 |
/// The elevator type used by the algorithm. |
88 | 88 |
/// |
89 | 89 |
/// \sa Elevator |
90 | 90 |
/// \sa LinkedElevator |
91 | 91 |
typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator; |
92 | 92 |
|
93 | 93 |
/// \brief Instantiates an Elevator. |
94 | 94 |
/// |
95 | 95 |
/// This function instantiates an \ref Elevator. |
96 | 96 |
/// \param digraph The digraph, to which we would like to define |
97 | 97 |
/// the elevator. |
98 | 98 |
/// \param max_level The maximum level of the elevator. |
99 | 99 |
static Elevator* createElevator(const Digraph& digraph, int max_level) { |
100 | 100 |
return new Elevator(digraph, max_level); |
101 | 101 |
} |
102 | 102 |
|
103 | 103 |
/// \brief The tolerance used by the algorithm |
104 | 104 |
/// |
105 | 105 |
/// The tolerance used by the algorithm to handle inexact computation. |
106 | 106 |
typedef lemon::Tolerance<Value> Tolerance; |
107 | 107 |
|
108 | 108 |
}; |
109 | 109 |
|
110 | 110 |
/** |
111 | 111 |
\brief Push-relabel algorithm for the network circulation problem. |
112 | 112 |
|
113 | 113 |
\ingroup max_flow |
114 | 114 |
This class implements a push-relabel algorithm for the network |
115 | 115 |
circulation problem. |
116 | 116 |
It is to find a feasible circulation when lower and upper bounds |
117 | 117 |
are given for the flow values on the arcs and lower bounds |
118 | 118 |
are given for the supply values of the nodes. |
119 | 119 |
|
120 | 120 |
The exact formulation of this problem is the following. |
121 | 121 |
Let \f$G=(V,A)\f$ be a digraph, |
122 | 122 |
\f$lower, upper: A\rightarrow\mathbf{R}^+_0\f$, |
123 | 123 |
\f$delta: V\rightarrow\mathbf{R}\f$. Find a feasible circulation |
124 | 124 |
\f$f: A\rightarrow\mathbf{R}^+_0\f$ so that |
125 | 125 |
\f[ \sum_{a\in\delta_{out}(v)} f(a) - \sum_{a\in\delta_{in}(v)} f(a) |
126 | 126 |
\geq delta(v) \quad \forall v\in V, \f] |
127 | 127 |
\f[ lower(a)\leq f(a) \leq upper(a) \quad \forall a\in A. \f] |
128 | 128 |
\note \f$delta(v)\f$ specifies a lower bound for the supply of node |
129 | 129 |
\f$v\f$. It can be either positive or negative, however note that |
130 | 130 |
\f$\sum_{v\in V}delta(v)\f$ should be zero or negative in order to |
131 | 131 |
have a feasible solution. |
132 | 132 |
|
133 | 133 |
\note A special case of this problem is when |
134 | 134 |
\f$\sum_{v\in V}delta(v) = 0\f$. Then the supply of each node \f$v\f$ |
135 | 135 |
will be \e equal \e to \f$delta(v)\f$, if a circulation can be found. |
136 | 136 |
Thus a feasible solution for the |
137 | 137 |
\ref min_cost_flow "minimum cost flow" problem can be calculated |
138 | 138 |
in this way. |
139 | 139 |
|
140 |
\tparam _Digraph The type of the digraph the algorithm runs on. |
|
141 |
\tparam _LCapMap The type of the lower bound capacity map. The default |
|
142 |
map type is \ref concepts::Digraph::ArcMap "_Digraph::ArcMap<int>". |
|
143 |
\tparam _UCapMap The type of the upper bound capacity map. The default |
|
144 |
map type is \c _LCapMap. |
|
145 |
\tparam _DeltaMap The type of the map that stores the lower bound |
|
140 |
\tparam GR The type of the digraph the algorithm runs on. |
|
141 |
\tparam LM The type of the lower bound capacity map. The default |
|
142 |
map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>". |
|
143 |
\tparam UM The type of the upper bound capacity map. The default |
|
144 |
map type is \c LM. |
|
145 |
\tparam DM The type of the map that stores the lower bound |
|
146 | 146 |
for the supply of the nodes. The default map type is |
147 |
\ |
|
147 |
\ref concepts::Digraph::NodeMap "GR::NodeMap<UM::Value>". |
|
148 | 148 |
*/ |
149 | 149 |
#ifdef DOXYGEN |
150 |
template< typename _Digraph, |
|
151 |
typename _LCapMap, |
|
152 |
typename _UCapMap, |
|
153 |
typename _DeltaMap, |
|
154 |
|
|
150 |
template< typename GR, |
|
151 |
typename LM, |
|
152 |
typename UM, |
|
153 |
typename DM, |
|
154 |
typename TR > |
|
155 | 155 |
#else |
156 |
template< typename _Digraph, |
|
157 |
typename _LCapMap = typename _Digraph::template ArcMap<int>, |
|
158 |
typename _UCapMap = _LCapMap, |
|
159 |
typename _DeltaMap = typename _Digraph:: |
|
160 |
template NodeMap<typename _UCapMap::Value>, |
|
161 |
typename _Traits=CirculationDefaultTraits<_Digraph, _LCapMap, |
|
162 |
|
|
156 |
template< typename GR, |
|
157 |
typename LM = typename GR::template ArcMap<int>, |
|
158 |
typename UM = LM, |
|
159 |
typename DM = typename GR::template NodeMap<typename UM::Value>, |
|
160 |
typename TR = CirculationDefaultTraits<GR, LM, UM, DM> > |
|
163 | 161 |
#endif |
164 | 162 |
class Circulation { |
165 | 163 |
public: |
166 | 164 |
|
167 | 165 |
///The \ref CirculationDefaultTraits "traits class" of the algorithm. |
168 |
typedef |
|
166 |
typedef TR Traits; |
|
169 | 167 |
///The type of the digraph the algorithm runs on. |
170 | 168 |
typedef typename Traits::Digraph Digraph; |
171 | 169 |
///The type of the flow values. |
172 | 170 |
typedef typename Traits::Value Value; |
173 | 171 |
|
174 | 172 |
/// The type of the lower bound capacity map. |
175 | 173 |
typedef typename Traits::LCapMap LCapMap; |
176 | 174 |
/// The type of the upper bound capacity map. |
177 | 175 |
typedef typename Traits::UCapMap UCapMap; |
178 | 176 |
/// \brief The type of the map that stores the lower bound for |
179 | 177 |
/// the supply of the nodes. |
180 | 178 |
typedef typename Traits::DeltaMap DeltaMap; |
181 | 179 |
///The type of the flow map. |
182 | 180 |
typedef typename Traits::FlowMap FlowMap; |
183 | 181 |
|
184 | 182 |
///The type of the elevator. |
185 | 183 |
typedef typename Traits::Elevator Elevator; |
186 | 184 |
///The type of the tolerance. |
187 | 185 |
typedef typename Traits::Tolerance Tolerance; |
188 | 186 |
|
189 | 187 |
private: |
190 | 188 |
|
191 | 189 |
TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); |
192 | 190 |
|
193 | 191 |
const Digraph &_g; |
194 | 192 |
int _node_num; |
195 | 193 |
|
196 | 194 |
const LCapMap *_lo; |
197 | 195 |
const UCapMap *_up; |
198 | 196 |
const DeltaMap *_delta; |
199 | 197 |
|
200 | 198 |
FlowMap *_flow; |
201 | 199 |
bool _local_flow; |
202 | 200 |
|
203 | 201 |
Elevator* _level; |
204 | 202 |
bool _local_level; |
205 | 203 |
|
206 | 204 |
typedef typename Digraph::template NodeMap<Value> ExcessMap; |
207 | 205 |
ExcessMap* _excess; |
208 | 206 |
|
209 | 207 |
Tolerance _tol; |
210 | 208 |
int _el; |
211 | 209 |
|
212 | 210 |
public: |
213 | 211 |
|
214 | 212 |
typedef Circulation Create; |
215 | 213 |
|
216 | 214 |
///\name Named Template Parameters |
217 | 215 |
|
218 | 216 |
///@{ |
219 | 217 |
|
220 | 218 |
template <typename _FlowMap> |
221 | 219 |
struct SetFlowMapTraits : public Traits { |
222 | 220 |
typedef _FlowMap FlowMap; |
223 | 221 |
static FlowMap *createFlowMap(const Digraph&) { |
224 | 222 |
LEMON_ASSERT(false, "FlowMap is not initialized"); |
225 | 223 |
return 0; // ignore warnings |
226 | 224 |
} |
227 | 225 |
}; |
228 | 226 |
|
229 | 227 |
/// \brief \ref named-templ-param "Named parameter" for setting |
230 | 228 |
/// FlowMap type |
231 | 229 |
/// |
232 | 230 |
/// \ref named-templ-param "Named parameter" for setting FlowMap |
233 | 231 |
/// type. |
234 | 232 |
template <typename _FlowMap> |
235 | 233 |
struct SetFlowMap |
236 | 234 |
: public Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
237 | 235 |
SetFlowMapTraits<_FlowMap> > { |
238 | 236 |
typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
239 | 237 |
SetFlowMapTraits<_FlowMap> > Create; |
240 | 238 |
}; |
241 | 239 |
|
242 | 240 |
template <typename _Elevator> |
243 | 241 |
struct SetElevatorTraits : public Traits { |
244 | 242 |
typedef _Elevator Elevator; |
245 | 243 |
static Elevator *createElevator(const Digraph&, int) { |
246 | 244 |
LEMON_ASSERT(false, "Elevator is not initialized"); |
247 | 245 |
return 0; // ignore warnings |
248 | 246 |
} |
249 | 247 |
}; |
250 | 248 |
|
251 | 249 |
/// \brief \ref named-templ-param "Named parameter" for setting |
252 | 250 |
/// Elevator type |
253 | 251 |
/// |
254 | 252 |
/// \ref named-templ-param "Named parameter" for setting Elevator |
255 | 253 |
/// type. If this named parameter is used, then an external |
256 | 254 |
/// elevator object must be passed to the algorithm using the |
257 | 255 |
/// \ref elevator(Elevator&) "elevator()" function before calling |
258 | 256 |
/// \ref run() or \ref init(). |
259 | 257 |
/// \sa SetStandardElevator |
260 | 258 |
template <typename _Elevator> |
261 | 259 |
struct SetElevator |
262 | 260 |
: public Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
263 | 261 |
SetElevatorTraits<_Elevator> > { |
264 | 262 |
typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
265 | 263 |
SetElevatorTraits<_Elevator> > Create; |
266 | 264 |
}; |
267 | 265 |
|
268 | 266 |
template <typename _Elevator> |
269 | 267 |
struct SetStandardElevatorTraits : public Traits { |
270 | 268 |
typedef _Elevator Elevator; |
271 | 269 |
static Elevator *createElevator(const Digraph& digraph, int max_level) { |
272 | 270 |
return new Elevator(digraph, max_level); |
273 | 271 |
} |
274 | 272 |
}; |
275 | 273 |
|
276 | 274 |
/// \brief \ref named-templ-param "Named parameter" for setting |
277 | 275 |
/// Elevator type with automatic allocation |
278 | 276 |
/// |
279 | 277 |
/// \ref named-templ-param "Named parameter" for setting Elevator |
280 | 278 |
/// type with automatic allocation. |
281 | 279 |
/// The Elevator should have standard constructor interface to be |
282 | 280 |
/// able to automatically created by the algorithm (i.e. the |
283 | 281 |
/// digraph and the maximum level should be passed to it). |
284 | 282 |
/// However an external elevator object could also be passed to the |
285 | 283 |
/// algorithm with the \ref elevator(Elevator&) "elevator()" function |
286 | 284 |
/// before calling \ref run() or \ref init(). |
287 | 285 |
/// \sa SetElevator |
288 | 286 |
template <typename _Elevator> |
289 | 287 |
struct SetStandardElevator |
290 | 288 |
: public Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
291 | 289 |
SetStandardElevatorTraits<_Elevator> > { |
292 | 290 |
typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
293 | 291 |
SetStandardElevatorTraits<_Elevator> > Create; |
294 | 292 |
}; |
295 | 293 |
|
296 | 294 |
/// @} |
297 | 295 |
|
298 | 296 |
protected: |
299 | 297 |
|
300 | 298 |
Circulation() {} |
301 | 299 |
|
302 | 300 |
public: |
303 | 301 |
|
304 | 302 |
/// The constructor of the class. |
305 | 303 |
|
306 | 304 |
/// The constructor of the class. |
307 | 305 |
/// \param g The digraph the algorithm runs on. |
308 | 306 |
/// \param lo The lower bound capacity of the arcs. |
309 | 307 |
/// \param up The upper bound capacity of the arcs. |
310 | 308 |
/// \param delta The lower bound for the supply of the nodes. |
311 | 309 |
Circulation(const Digraph &g,const LCapMap &lo, |
312 | 310 |
const UCapMap &up,const DeltaMap &delta) |
313 | 311 |
: _g(g), _node_num(), |
314 | 312 |
_lo(&lo),_up(&up),_delta(&delta),_flow(0),_local_flow(false), |
315 | 313 |
_level(0), _local_level(false), _excess(0), _el() {} |
316 | 314 |
|
317 | 315 |
/// Destructor. |
318 | 316 |
~Circulation() { |
319 | 317 |
destroyStructures(); |
320 | 318 |
} |
321 | 319 |
|
322 | 320 |
|
323 | 321 |
private: |
324 | 322 |
|
325 | 323 |
void createStructures() { |
326 | 324 |
_node_num = _el = countNodes(_g); |
327 | 325 |
|
328 | 326 |
if (!_flow) { |
329 | 327 |
_flow = Traits::createFlowMap(_g); |
330 | 328 |
_local_flow = true; |
331 | 329 |
} |
332 | 330 |
if (!_level) { |
333 | 331 |
_level = Traits::createElevator(_g, _node_num); |
334 | 332 |
_local_level = true; |
335 | 333 |
} |
336 | 334 |
if (!_excess) { |
337 | 335 |
_excess = new ExcessMap(_g); |
338 | 336 |
} |
339 | 337 |
} |
340 | 338 |
|
341 | 339 |
void destroyStructures() { |
342 | 340 |
if (_local_flow) { |
343 | 341 |
delete _flow; |
344 | 342 |
} |
345 | 343 |
if (_local_level) { |
346 | 344 |
delete _level; |
347 | 345 |
} |
348 | 346 |
if (_excess) { |
349 | 347 |
delete _excess; |
350 | 348 |
} |
351 | 349 |
} |
352 | 350 |
|
353 | 351 |
public: |
354 | 352 |
|
355 | 353 |
/// Sets the lower bound capacity map. |
356 | 354 |
|
357 | 355 |
/// Sets the lower bound capacity map. |
358 | 356 |
/// \return <tt>(*this)</tt> |
359 | 357 |
Circulation& lowerCapMap(const LCapMap& map) { |
360 | 358 |
_lo = ↦ |
361 | 359 |
return *this; |
362 | 360 |
} |
363 | 361 |
|
364 | 362 |
/// Sets the upper bound capacity map. |
365 | 363 |
|
366 | 364 |
/// Sets the upper bound capacity map. |
367 | 365 |
/// \return <tt>(*this)</tt> |
368 | 366 |
Circulation& upperCapMap(const LCapMap& map) { |
369 | 367 |
_up = ↦ |
370 | 368 |
return *this; |
371 | 369 |
} |
372 | 370 |
|
373 | 371 |
/// Sets the lower bound map for the supply of the nodes. |
374 | 372 |
|
375 | 373 |
/// Sets the lower bound map for the supply of the nodes. |
376 | 374 |
/// \return <tt>(*this)</tt> |
377 | 375 |
Circulation& deltaMap(const DeltaMap& map) { |
378 | 376 |
_delta = ↦ |
379 | 377 |
return *this; |
380 | 378 |
} |
381 | 379 |
|
382 | 380 |
/// \brief Sets the flow map. |
383 | 381 |
/// |
384 | 382 |
/// Sets the flow map. |
385 | 383 |
/// If you don't use this function before calling \ref run() or |
386 | 384 |
/// \ref init(), an instance will be allocated automatically. |
387 | 385 |
/// The destructor deallocates this automatically allocated map, |
388 | 386 |
/// of course. |
389 | 387 |
/// \return <tt>(*this)</tt> |
390 | 388 |
Circulation& flowMap(FlowMap& map) { |
391 | 389 |
if (_local_flow) { |
392 | 390 |
delete _flow; |
393 | 391 |
_local_flow = false; |
394 | 392 |
} |
395 | 393 |
_flow = ↦ |
396 | 394 |
return *this; |
397 | 395 |
} |
398 | 396 |
|
399 | 397 |
/// \brief Sets the elevator used by algorithm. |
400 | 398 |
/// |
401 | 399 |
/// Sets the elevator used by algorithm. |
402 | 400 |
/// If you don't use this function before calling \ref run() or |
403 | 401 |
/// \ref init(), an instance will be allocated automatically. |
404 | 402 |
/// The destructor deallocates this automatically allocated elevator, |
405 | 403 |
/// of course. |
406 | 404 |
/// \return <tt>(*this)</tt> |
407 | 405 |
Circulation& elevator(Elevator& elevator) { |
408 | 406 |
if (_local_level) { |
409 | 407 |
delete _level; |
410 | 408 |
_local_level = false; |
411 | 409 |
} |
412 | 410 |
_level = &elevator; |
413 | 411 |
return *this; |
414 | 412 |
} |
415 | 413 |
|
416 | 414 |
/// \brief Returns a const reference to the elevator. |
417 | 415 |
/// |
418 | 416 |
/// Returns a const reference to the elevator. |
419 | 417 |
/// |
420 | 418 |
/// \pre Either \ref run() or \ref init() must be called before |
421 | 419 |
/// using this function. |
422 | 420 |
const Elevator& elevator() const { |
423 | 421 |
return *_level; |
424 | 422 |
} |
425 | 423 |
|
426 | 424 |
/// \brief Sets the tolerance used by algorithm. |
427 | 425 |
/// |
428 | 426 |
/// Sets the tolerance used by algorithm. |
429 | 427 |
Circulation& tolerance(const Tolerance& tolerance) const { |
430 | 428 |
_tol = tolerance; |
431 | 429 |
return *this; |
432 | 430 |
} |
433 | 431 |
|
434 | 432 |
/// \brief Returns a const reference to the tolerance. |
435 | 433 |
/// |
436 | 434 |
/// Returns a const reference to the tolerance. |
437 | 435 |
const Tolerance& tolerance() const { |
438 | 436 |
return tolerance; |
439 | 437 |
} |
440 | 438 |
|
441 | 439 |
/// \name Execution Control |
442 | 440 |
/// The simplest way to execute the algorithm is to call \ref run().\n |
443 | 441 |
/// If you need more control on the initial solution or the execution, |
444 | 442 |
/// first you have to call one of the \ref init() functions, then |
445 | 443 |
/// the \ref start() function. |
446 | 444 |
|
447 | 445 |
///@{ |
448 | 446 |
|
449 | 447 |
/// Initializes the internal data structures. |
450 | 448 |
|
451 | 449 |
/// Initializes the internal data structures and sets all flow values |
452 | 450 |
/// to the lower bound. |
453 | 451 |
void init() |
454 | 452 |
{ |
455 | 453 |
createStructures(); |
456 | 454 |
|
457 | 455 |
for(NodeIt n(_g);n!=INVALID;++n) { |
458 | 456 |
_excess->set(n, (*_delta)[n]); |
459 | 457 |
} |
460 | 458 |
|
461 | 459 |
for (ArcIt e(_g);e!=INVALID;++e) { |
462 | 460 |
_flow->set(e, (*_lo)[e]); |
463 | 461 |
_excess->set(_g.target(e), (*_excess)[_g.target(e)] + (*_flow)[e]); |
464 | 462 |
_excess->set(_g.source(e), (*_excess)[_g.source(e)] - (*_flow)[e]); |
465 | 463 |
} |
466 | 464 |
|
467 | 465 |
// global relabeling tested, but in general case it provides |
468 | 466 |
// worse performance for random digraphs |
469 | 467 |
_level->initStart(); |
470 | 468 |
for(NodeIt n(_g);n!=INVALID;++n) |
471 | 469 |
_level->initAddItem(n); |
472 | 470 |
_level->initFinish(); |
473 | 471 |
for(NodeIt n(_g);n!=INVALID;++n) |
474 | 472 |
if(_tol.positive((*_excess)[n])) |
475 | 473 |
_level->activate(n); |
476 | 474 |
} |
477 | 475 |
|
478 | 476 |
/// Initializes the internal data structures using a greedy approach. |
479 | 477 |
|
480 | 478 |
/// Initializes the internal data structures using a greedy approach |
481 | 479 |
/// to construct the initial solution. |
482 | 480 |
void greedyInit() |
483 | 481 |
{ |
484 | 482 |
createStructures(); |
485 | 483 |
|
486 | 484 |
for(NodeIt n(_g);n!=INVALID;++n) { |
487 | 485 |
_excess->set(n, (*_delta)[n]); |
488 | 486 |
} |
489 | 487 |
|
490 | 488 |
for (ArcIt e(_g);e!=INVALID;++e) { |
491 | 489 |
if (!_tol.positive((*_excess)[_g.target(e)] + (*_up)[e])) { |
492 | 490 |
_flow->set(e, (*_up)[e]); |
493 | 491 |
_excess->set(_g.target(e), (*_excess)[_g.target(e)] + (*_up)[e]); |
494 | 492 |
_excess->set(_g.source(e), (*_excess)[_g.source(e)] - (*_up)[e]); |
495 | 493 |
} else if (_tol.positive((*_excess)[_g.target(e)] + (*_lo)[e])) { |
496 | 494 |
_flow->set(e, (*_lo)[e]); |
497 | 495 |
_excess->set(_g.target(e), (*_excess)[_g.target(e)] + (*_lo)[e]); |
498 | 496 |
_excess->set(_g.source(e), (*_excess)[_g.source(e)] - (*_lo)[e]); |
499 | 497 |
} else { |
500 | 498 |
Value fc = -(*_excess)[_g.target(e)]; |
501 | 499 |
_flow->set(e, fc); |
502 | 500 |
_excess->set(_g.target(e), 0); |
503 | 501 |
_excess->set(_g.source(e), (*_excess)[_g.source(e)] - fc); |
504 | 502 |
} |
505 | 503 |
} |
506 | 504 |
|
507 | 505 |
_level->initStart(); |
508 | 506 |
for(NodeIt n(_g);n!=INVALID;++n) |
509 | 507 |
_level->initAddItem(n); |
510 | 508 |
_level->initFinish(); |
511 | 509 |
for(NodeIt n(_g);n!=INVALID;++n) |
512 | 510 |
if(_tol.positive((*_excess)[n])) |
513 | 511 |
_level->activate(n); |
514 | 512 |
} |
515 | 513 |
|
516 | 514 |
///Executes the algorithm |
517 | 515 |
|
518 | 516 |
///This function executes the algorithm. |
519 | 517 |
/// |
520 | 518 |
///\return \c true if a feasible circulation is found. |
521 | 519 |
/// |
522 | 520 |
///\sa barrier() |
523 | 521 |
///\sa barrierMap() |
524 | 522 |
bool start() |
525 | 523 |
{ |
526 | 524 |
|
527 | 525 |
Node act; |
528 | 526 |
Node bact=INVALID; |
529 | 527 |
Node last_activated=INVALID; |
530 | 528 |
while((act=_level->highestActive())!=INVALID) { |
531 | 529 |
int actlevel=(*_level)[act]; |
532 | 530 |
int mlevel=_node_num; |
533 | 531 |
Value exc=(*_excess)[act]; |
534 | 532 |
|
535 | 533 |
for(OutArcIt e(_g,act);e!=INVALID; ++e) { |
536 | 534 |
Node v = _g.target(e); |
537 | 535 |
Value fc=(*_up)[e]-(*_flow)[e]; |
538 | 536 |
if(!_tol.positive(fc)) continue; |
539 | 537 |
if((*_level)[v]<actlevel) { |
540 | 538 |
if(!_tol.less(fc, exc)) { |
541 | 539 |
_flow->set(e, (*_flow)[e] + exc); |
542 | 540 |
_excess->set(v, (*_excess)[v] + exc); |
543 | 541 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
544 | 542 |
_level->activate(v); |
545 | 543 |
_excess->set(act,0); |
546 | 544 |
_level->deactivate(act); |
547 | 545 |
goto next_l; |
548 | 546 |
} |
549 | 547 |
else { |
550 | 548 |
_flow->set(e, (*_up)[e]); |
551 | 549 |
_excess->set(v, (*_excess)[v] + fc); |
552 | 550 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
553 | 551 |
_level->activate(v); |
554 | 552 |
exc-=fc; |
555 | 553 |
} |
556 | 554 |
} |
557 | 555 |
else if((*_level)[v]<mlevel) mlevel=(*_level)[v]; |
558 | 556 |
} |
559 | 557 |
for(InArcIt e(_g,act);e!=INVALID; ++e) { |
560 | 558 |
Node v = _g.source(e); |
561 | 559 |
Value fc=(*_flow)[e]-(*_lo)[e]; |
562 | 560 |
if(!_tol.positive(fc)) continue; |
563 | 561 |
if((*_level)[v]<actlevel) { |
564 | 562 |
if(!_tol.less(fc, exc)) { |
565 | 563 |
_flow->set(e, (*_flow)[e] - exc); |
566 | 564 |
_excess->set(v, (*_excess)[v] + exc); |
567 | 565 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
568 | 566 |
_level->activate(v); |
569 | 567 |
_excess->set(act,0); |
570 | 568 |
_level->deactivate(act); |
571 | 569 |
goto next_l; |
572 | 570 |
} |
573 | 571 |
else { |
574 | 572 |
_flow->set(e, (*_lo)[e]); |
575 | 573 |
_excess->set(v, (*_excess)[v] + fc); |
576 | 574 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
577 | 575 |
_level->activate(v); |
578 | 576 |
exc-=fc; |
579 | 577 |
} |
580 | 578 |
} |
581 | 579 |
else if((*_level)[v]<mlevel) mlevel=(*_level)[v]; |
582 | 580 |
} |
583 | 581 |
|
584 | 582 |
_excess->set(act, exc); |
585 | 583 |
if(!_tol.positive(exc)) _level->deactivate(act); |
586 | 584 |
else if(mlevel==_node_num) { |
587 | 585 |
_level->liftHighestActiveToTop(); |
588 | 586 |
_el = _node_num; |
589 | 587 |
return false; |
590 | 588 |
} |
591 | 589 |
else { |
592 | 590 |
_level->liftHighestActive(mlevel+1); |
593 | 591 |
if(_level->onLevel(actlevel)==0) { |
594 | 592 |
_el = actlevel; |
595 | 593 |
return false; |
596 | 594 |
} |
597 | 595 |
} |
598 | 596 |
next_l: |
599 | 597 |
; |
600 | 598 |
} |
601 | 599 |
return true; |
602 | 600 |
} |
603 | 601 |
|
604 | 602 |
/// Runs the algorithm. |
605 | 603 |
|
606 | 604 |
/// This function runs the algorithm. |
607 | 605 |
/// |
608 | 606 |
/// \return \c true if a feasible circulation is found. |
609 | 607 |
/// |
610 | 608 |
/// \note Apart from the return value, c.run() is just a shortcut of |
611 | 609 |
/// the following code. |
612 | 610 |
/// \code |
613 | 611 |
/// c.greedyInit(); |
614 | 612 |
/// c.start(); |
615 | 613 |
/// \endcode |
616 | 614 |
bool run() { |
617 | 615 |
greedyInit(); |
618 | 616 |
return start(); |
619 | 617 |
} |
620 | 618 |
|
621 | 619 |
/// @} |
622 | 620 |
|
623 | 621 |
/// \name Query Functions |
624 | 622 |
/// The results of the circulation algorithm can be obtained using |
625 | 623 |
/// these functions.\n |
626 | 624 |
/// Either \ref run() or \ref start() should be called before |
627 | 625 |
/// using them. |
628 | 626 |
|
629 | 627 |
///@{ |
630 | 628 |
|
631 | 629 |
/// \brief Returns the flow on the given arc. |
632 | 630 |
/// |
633 | 631 |
/// Returns the flow on the given arc. |
634 | 632 |
/// |
635 | 633 |
/// \pre Either \ref run() or \ref init() must be called before |
636 | 634 |
/// using this function. |
637 | 635 |
Value flow(const Arc& arc) const { |
638 | 636 |
return (*_flow)[arc]; |
639 | 637 |
} |
640 | 638 |
|
641 | 639 |
/// \brief Returns a const reference to the flow map. |
642 | 640 |
/// |
643 | 641 |
/// Returns a const reference to the arc map storing the found flow. |
644 | 642 |
/// |
645 | 643 |
/// \pre Either \ref run() or \ref init() must be called before |
646 | 644 |
/// using this function. |
647 | 645 |
const FlowMap& flowMap() const { |
648 | 646 |
return *_flow; |
649 | 647 |
} |
650 | 648 |
|
651 | 649 |
/** |
652 | 650 |
\brief Returns \c true if the given node is in a barrier. |
653 | 651 |
|
654 | 652 |
Barrier is a set \e B of nodes for which |
655 | 653 |
|
656 | 654 |
\f[ \sum_{a\in\delta_{out}(B)} upper(a) - |
657 | 655 |
\sum_{a\in\delta_{in}(B)} lower(a) < \sum_{v\in B}delta(v) \f] |
658 | 656 |
|
659 | 657 |
holds. The existence of a set with this property prooves that a |
660 | 658 |
feasible circualtion cannot exist. |
661 | 659 |
|
662 | 660 |
This function returns \c true if the given node is in the found |
663 | 661 |
barrier. If a feasible circulation is found, the function |
664 | 662 |
gives back \c false for every node. |
665 | 663 |
|
666 | 664 |
\pre Either \ref run() or \ref init() must be called before |
667 | 665 |
using this function. |
668 | 666 |
|
669 | 667 |
\sa barrierMap() |
670 | 668 |
\sa checkBarrier() |
671 | 669 |
*/ |
672 | 670 |
bool barrier(const Node& node) const |
673 | 671 |
{ |
674 | 672 |
return (*_level)[node] >= _el; |
675 | 673 |
} |
676 | 674 |
|
677 | 675 |
/// \brief Gives back a barrier. |
678 | 676 |
/// |
679 | 677 |
/// This function sets \c bar to the characteristic vector of the |
680 | 678 |
/// found barrier. \c bar should be a \ref concepts::WriteMap "writable" |
681 | 679 |
/// node map with \c bool (or convertible) value type. |
682 | 680 |
/// |
683 | 681 |
/// If a feasible circulation is found, the function gives back an |
684 | 682 |
/// empty set, so \c bar[v] will be \c false for all nodes \c v. |
685 | 683 |
/// |
686 | 684 |
/// \note This function calls \ref barrier() for each node, |
687 | 685 |
/// so it runs in \f$O(n)\f$ time. |
688 | 686 |
/// |
689 | 687 |
/// \pre Either \ref run() or \ref init() must be called before |
690 | 688 |
/// using this function. |
691 | 689 |
/// |
692 | 690 |
/// \sa barrier() |
693 | 691 |
/// \sa checkBarrier() |
694 | 692 |
template<class BarrierMap> |
695 | 693 |
void barrierMap(BarrierMap &bar) const |
696 | 694 |
{ |
697 | 695 |
for(NodeIt n(_g);n!=INVALID;++n) |
698 | 696 |
bar.set(n, (*_level)[n] >= _el); |
699 | 697 |
} |
700 | 698 |
|
701 | 699 |
/// @} |
702 | 700 |
|
703 | 701 |
/// \name Checker Functions |
704 | 702 |
/// The feasibility of the results can be checked using |
705 | 703 |
/// these functions.\n |
706 | 704 |
/// Either \ref run() or \ref start() should be called before |
707 | 705 |
/// using them. |
708 | 706 |
|
709 | 707 |
///@{ |
710 | 708 |
|
711 | 709 |
///Check if the found flow is a feasible circulation |
712 | 710 |
|
713 | 711 |
///Check if the found flow is a feasible circulation, |
714 | 712 |
/// |
715 | 713 |
bool checkFlow() const { |
716 | 714 |
for(ArcIt e(_g);e!=INVALID;++e) |
717 | 715 |
if((*_flow)[e]<(*_lo)[e]||(*_flow)[e]>(*_up)[e]) return false; |
718 | 716 |
for(NodeIt n(_g);n!=INVALID;++n) |
719 | 717 |
{ |
720 | 718 |
Value dif=-(*_delta)[n]; |
721 | 719 |
for(InArcIt e(_g,n);e!=INVALID;++e) dif-=(*_flow)[e]; |
722 | 720 |
for(OutArcIt e(_g,n);e!=INVALID;++e) dif+=(*_flow)[e]; |
723 | 721 |
if(_tol.negative(dif)) return false; |
724 | 722 |
} |
725 | 723 |
return true; |
726 | 724 |
} |
727 | 725 |
|
728 | 726 |
///Check whether or not the last execution provides a barrier |
729 | 727 |
|
730 | 728 |
///Check whether or not the last execution provides a barrier. |
731 | 729 |
///\sa barrier() |
732 | 730 |
///\sa barrierMap() |
733 | 731 |
bool checkBarrier() const |
734 | 732 |
{ |
735 | 733 |
Value delta=0; |
736 | 734 |
for(NodeIt n(_g);n!=INVALID;++n) |
737 | 735 |
if(barrier(n)) |
738 | 736 |
delta-=(*_delta)[n]; |
739 | 737 |
for(ArcIt e(_g);e!=INVALID;++e) |
740 | 738 |
{ |
741 | 739 |
Node s=_g.source(e); |
742 | 740 |
Node t=_g.target(e); |
743 | 741 |
if(barrier(s)&&!barrier(t)) delta+=(*_up)[e]; |
744 | 742 |
else if(barrier(t)&&!barrier(s)) delta-=(*_lo)[e]; |
745 | 743 |
} |
746 | 744 |
return _tol.negative(delta); |
747 | 745 |
} |
748 | 746 |
|
749 | 747 |
/// @} |
750 | 748 |
|
751 | 749 |
}; |
752 | 750 |
|
753 | 751 |
} |
754 | 752 |
|
755 | 753 |
#endif |
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) 2003-2009 |
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 |
///\ingroup graph_concepts |
20 | 20 |
///\file |
21 | 21 |
///\brief The concept of graph components. |
22 | 22 |
|
23 | 23 |
|
24 | 24 |
#ifndef LEMON_CONCEPT_GRAPH_COMPONENTS_H |
25 | 25 |
#define LEMON_CONCEPT_GRAPH_COMPONENTS_H |
26 | 26 |
|
27 | 27 |
#include <lemon/core.h> |
28 | 28 |
#include <lemon/concepts/maps.h> |
29 | 29 |
|
30 | 30 |
#include <lemon/bits/alteration_notifier.h> |
31 | 31 |
|
32 | 32 |
namespace lemon { |
33 | 33 |
namespace concepts { |
34 | 34 |
|
35 | 35 |
/// \brief Skeleton class for graph Node and Arc types |
36 | 36 |
/// |
37 | 37 |
/// This class describes the interface of Node and Arc (and Edge |
38 | 38 |
/// in undirected graphs) subtypes of graph types. |
39 | 39 |
/// |
40 | 40 |
/// \note This class is a template class so that we can use it to |
41 | 41 |
/// create graph skeleton classes. The reason for this is than Node |
42 | 42 |
/// and Arc types should \em not derive from the same base class. |
43 | 43 |
/// For Node you should instantiate it with character 'n' and for Arc |
44 | 44 |
/// with 'a'. |
45 | 45 |
|
46 | 46 |
#ifndef DOXYGEN |
47 | 47 |
template <char _selector = '0'> |
48 | 48 |
#endif |
49 | 49 |
class GraphItem { |
50 | 50 |
public: |
51 | 51 |
/// \brief Default constructor. |
52 | 52 |
/// |
53 | 53 |
/// \warning The default constructor is not required to set |
54 | 54 |
/// the item to some well-defined value. So you should consider it |
55 | 55 |
/// as uninitialized. |
56 | 56 |
GraphItem() {} |
57 | 57 |
/// \brief Copy constructor. |
58 | 58 |
/// |
59 | 59 |
/// Copy constructor. |
60 | 60 |
/// |
61 | 61 |
GraphItem(const GraphItem &) {} |
62 | 62 |
/// \brief Invalid constructor \& conversion. |
63 | 63 |
/// |
64 | 64 |
/// This constructor initializes the item to be invalid. |
65 | 65 |
/// \sa Invalid for more details. |
66 | 66 |
GraphItem(Invalid) {} |
67 | 67 |
/// \brief Assign operator for nodes. |
68 | 68 |
/// |
69 | 69 |
/// The nodes are assignable. |
70 | 70 |
/// |
71 | 71 |
GraphItem& operator=(GraphItem const&) { return *this; } |
72 | 72 |
/// \brief Equality operator. |
73 | 73 |
/// |
74 | 74 |
/// Two iterators are equal if and only if they represents the |
75 | 75 |
/// same node in the graph or both are invalid. |
76 | 76 |
bool operator==(GraphItem) const { return false; } |
77 | 77 |
/// \brief Inequality operator. |
78 | 78 |
/// |
79 | 79 |
/// \sa operator==(const Node& n) |
80 | 80 |
/// |
81 | 81 |
bool operator!=(GraphItem) const { return false; } |
82 | 82 |
|
83 | 83 |
/// \brief Artificial ordering operator. |
84 | 84 |
/// |
85 | 85 |
/// To allow the use of graph descriptors as key type in std::map or |
86 | 86 |
/// similar associative container we require this. |
87 | 87 |
/// |
88 | 88 |
/// \note This operator only have to define some strict ordering of |
89 | 89 |
/// the items; this order has nothing to do with the iteration |
90 | 90 |
/// ordering of the items. |
91 | 91 |
bool operator<(GraphItem) const { return false; } |
92 | 92 |
|
93 | 93 |
template<typename _GraphItem> |
94 | 94 |
struct Constraints { |
95 | 95 |
void constraints() { |
96 | 96 |
_GraphItem i1; |
97 | 97 |
_GraphItem i2 = i1; |
98 | 98 |
_GraphItem i3 = INVALID; |
99 | 99 |
|
100 | 100 |
i1 = i2 = i3; |
101 | 101 |
|
102 | 102 |
bool b; |
103 | 103 |
// b = (ia == ib) && (ia != ib) && (ia < ib); |
104 | 104 |
b = (ia == ib) && (ia != ib); |
105 | 105 |
b = (ia == INVALID) && (ib != INVALID); |
106 | 106 |
b = (ia < ib); |
107 | 107 |
} |
108 | 108 |
|
109 | 109 |
const _GraphItem &ia; |
110 | 110 |
const _GraphItem &ib; |
111 | 111 |
}; |
112 | 112 |
}; |
113 | 113 |
|
114 | 114 |
/// \brief An empty base directed graph class. |
115 | 115 |
/// |
116 | 116 |
/// This class provides the minimal set of features needed for a |
117 |
/// directed graph structure. All digraph concepts have to |
|
117 |
/// directed graph structure. All digraph concepts have to |
|
118 | 118 |
/// conform to this base directed graph. It just provides types |
119 | 119 |
/// for nodes and arcs and functions to get the source and the |
120 | 120 |
/// target of the arcs. |
121 | 121 |
class BaseDigraphComponent { |
122 | 122 |
public: |
123 | 123 |
|
124 | 124 |
typedef BaseDigraphComponent Digraph; |
125 | 125 |
|
126 | 126 |
/// \brief Node class of the digraph. |
127 | 127 |
/// |
128 | 128 |
/// This class represents the Nodes of the digraph. |
129 | 129 |
/// |
130 | 130 |
typedef GraphItem<'n'> Node; |
131 | 131 |
|
132 | 132 |
/// \brief Arc class of the digraph. |
133 | 133 |
/// |
134 | 134 |
/// This class represents the Arcs of the digraph. |
135 | 135 |
/// |
136 | 136 |
typedef GraphItem<'e'> Arc; |
137 | 137 |
|
138 | 138 |
/// \brief Gives back the target node of an arc. |
139 | 139 |
/// |
140 | 140 |
/// Gives back the target node of an arc. |
141 | 141 |
/// |
142 | 142 |
Node target(const Arc&) const { return INVALID;} |
143 | 143 |
|
144 | 144 |
/// \brief Gives back the source node of an arc. |
145 | 145 |
/// |
146 | 146 |
/// Gives back the source node of an arc. |
147 | 147 |
/// |
148 | 148 |
Node source(const Arc&) const { return INVALID;} |
149 | 149 |
|
150 | 150 |
/// \brief Gives back the opposite node on the given arc. |
151 | 151 |
/// |
152 | 152 |
/// Gives back the opposite node on the given arc. |
153 | 153 |
Node oppositeNode(const Node&, const Arc&) const { |
154 | 154 |
return INVALID; |
155 | 155 |
} |
156 | 156 |
|
157 | 157 |
template <typename _Digraph> |
158 | 158 |
struct Constraints { |
159 | 159 |
typedef typename _Digraph::Node Node; |
160 | 160 |
typedef typename _Digraph::Arc Arc; |
161 | 161 |
|
162 | 162 |
void constraints() { |
163 | 163 |
checkConcept<GraphItem<'n'>, Node>(); |
164 | 164 |
checkConcept<GraphItem<'a'>, Arc>(); |
165 | 165 |
{ |
166 | 166 |
Node n; |
167 | 167 |
Arc e(INVALID); |
168 | 168 |
n = digraph.source(e); |
169 | 169 |
n = digraph.target(e); |
170 | 170 |
n = digraph.oppositeNode(n, e); |
171 | 171 |
} |
172 | 172 |
} |
173 | 173 |
|
174 | 174 |
const _Digraph& digraph; |
175 | 175 |
}; |
176 | 176 |
}; |
177 | 177 |
|
178 | 178 |
/// \brief An empty base undirected graph class. |
179 | 179 |
/// |
180 | 180 |
/// This class provides the minimal set of features needed for an |
181 | 181 |
/// undirected graph structure. All undirected graph concepts have |
182 |
/// to |
|
182 |
/// to conform to this base graph. It just provides types for |
|
183 | 183 |
/// nodes, arcs and edges and functions to get the |
184 | 184 |
/// source and the target of the arcs and edges, |
185 | 185 |
/// conversion from arcs to edges and function to get |
186 | 186 |
/// both direction of the edges. |
187 | 187 |
class BaseGraphComponent : public BaseDigraphComponent { |
188 | 188 |
public: |
189 | 189 |
typedef BaseDigraphComponent::Node Node; |
190 | 190 |
typedef BaseDigraphComponent::Arc Arc; |
191 | 191 |
/// \brief Undirected arc class of the graph. |
192 | 192 |
/// |
193 | 193 |
/// This class represents the edges of the graph. |
194 | 194 |
/// The undirected graphs can be used as a directed graph which |
195 | 195 |
/// for each arc contains the opposite arc too so the graph is |
196 | 196 |
/// bidirected. The edge represents two opposite |
197 | 197 |
/// directed arcs. |
198 | 198 |
class Edge : public GraphItem<'u'> { |
199 | 199 |
public: |
200 | 200 |
typedef GraphItem<'u'> Parent; |
201 | 201 |
/// \brief Default constructor. |
202 | 202 |
/// |
203 | 203 |
/// \warning The default constructor is not required to set |
204 | 204 |
/// the item to some well-defined value. So you should consider it |
205 | 205 |
/// as uninitialized. |
206 | 206 |
Edge() {} |
207 | 207 |
/// \brief Copy constructor. |
208 | 208 |
/// |
209 | 209 |
/// Copy constructor. |
210 | 210 |
/// |
211 | 211 |
Edge(const Edge &) : Parent() {} |
212 | 212 |
/// \brief Invalid constructor \& conversion. |
213 | 213 |
/// |
214 | 214 |
/// This constructor initializes the item to be invalid. |
215 | 215 |
/// \sa Invalid for more details. |
216 | 216 |
Edge(Invalid) {} |
217 | 217 |
/// \brief Converter from arc to edge. |
218 | 218 |
/// |
219 | 219 |
/// Besides the core graph item functionality each arc should |
220 | 220 |
/// be convertible to the represented edge. |
221 | 221 |
Edge(const Arc&) {} |
222 | 222 |
/// \brief Assign arc to edge. |
223 | 223 |
/// |
224 | 224 |
/// Besides the core graph item functionality each arc should |
225 | 225 |
/// be convertible to the represented edge. |
226 | 226 |
Edge& operator=(const Arc&) { return *this; } |
227 | 227 |
}; |
228 | 228 |
|
229 | 229 |
/// \brief Returns the direction of the arc. |
230 | 230 |
/// |
231 | 231 |
/// Returns the direction of the arc. Each arc represents an |
232 | 232 |
/// edge with a direction. It gives back the |
233 | 233 |
/// direction. |
234 | 234 |
bool direction(const Arc&) const { return true; } |
235 | 235 |
|
236 | 236 |
/// \brief Returns the directed arc. |
237 | 237 |
/// |
238 | 238 |
/// Returns the directed arc from its direction and the |
239 | 239 |
/// represented edge. |
240 | 240 |
Arc direct(const Edge&, bool) const { return INVALID;} |
241 | 241 |
|
242 | 242 |
/// \brief Returns the directed arc. |
243 | 243 |
/// |
244 | 244 |
/// Returns the directed arc from its source and the |
245 | 245 |
/// represented edge. |
246 | 246 |
Arc direct(const Edge&, const Node&) const { return INVALID;} |
247 | 247 |
|
248 | 248 |
/// \brief Returns the opposite arc. |
249 | 249 |
/// |
250 | 250 |
/// Returns the opposite arc. It is the arc representing the |
251 | 251 |
/// same edge and has opposite direction. |
252 | 252 |
Arc oppositeArc(const Arc&) const { return INVALID;} |
253 | 253 |
|
254 | 254 |
/// \brief Gives back one ending of an edge. |
255 | 255 |
/// |
256 | 256 |
/// Gives back one ending of an edge. |
257 | 257 |
Node u(const Edge&) const { return INVALID;} |
258 | 258 |
|
259 | 259 |
/// \brief Gives back the other ending of an edge. |
260 | 260 |
/// |
261 | 261 |
/// Gives back the other ending of an edge. |
262 | 262 |
Node v(const Edge&) const { return INVALID;} |
263 | 263 |
|
264 | 264 |
template <typename _Graph> |
265 | 265 |
struct Constraints { |
266 | 266 |
typedef typename _Graph::Node Node; |
267 | 267 |
typedef typename _Graph::Arc Arc; |
268 | 268 |
typedef typename _Graph::Edge Edge; |
269 | 269 |
|
270 | 270 |
void constraints() { |
271 | 271 |
checkConcept<BaseDigraphComponent, _Graph>(); |
272 | 272 |
checkConcept<GraphItem<'u'>, Edge>(); |
273 | 273 |
{ |
274 | 274 |
Node n; |
275 | 275 |
Edge ue(INVALID); |
276 | 276 |
Arc e; |
277 | 277 |
n = graph.u(ue); |
278 | 278 |
n = graph.v(ue); |
279 | 279 |
e = graph.direct(ue, true); |
280 | 280 |
e = graph.direct(ue, n); |
281 | 281 |
e = graph.oppositeArc(e); |
282 | 282 |
ue = e; |
283 | 283 |
bool d = graph.direction(e); |
284 | 284 |
ignore_unused_variable_warning(d); |
285 | 285 |
} |
286 | 286 |
} |
287 | 287 |
|
288 | 288 |
const _Graph& graph; |
289 | 289 |
}; |
290 | 290 |
|
291 | 291 |
}; |
292 | 292 |
|
293 | 293 |
/// \brief An empty idable base digraph class. |
294 | 294 |
/// |
295 | 295 |
/// This class provides beside the core digraph features |
296 | 296 |
/// core id functions for the digraph structure. |
297 |
/// The most of the base digraphs should |
|
297 |
/// The most of the base digraphs should conform to this concept. |
|
298 | 298 |
/// The id's are unique and immutable. |
299 | 299 |
template <typename _Base = BaseDigraphComponent> |
300 | 300 |
class IDableDigraphComponent : public _Base { |
301 | 301 |
public: |
302 | 302 |
|
303 | 303 |
typedef _Base Base; |
304 | 304 |
typedef typename Base::Node Node; |
305 | 305 |
typedef typename Base::Arc Arc; |
306 | 306 |
|
307 | 307 |
/// \brief Gives back an unique integer id for the Node. |
308 | 308 |
/// |
309 | 309 |
/// Gives back an unique integer id for the Node. |
310 | 310 |
/// |
311 | 311 |
int id(const Node&) const { return -1;} |
312 | 312 |
|
313 | 313 |
/// \brief Gives back the node by the unique id. |
314 | 314 |
/// |
315 | 315 |
/// Gives back the node by the unique id. |
316 | 316 |
/// If the digraph does not contain node with the given id |
317 | 317 |
/// then the result of the function is undetermined. |
318 | 318 |
Node nodeFromId(int) const { return INVALID;} |
319 | 319 |
|
320 | 320 |
/// \brief Gives back an unique integer id for the Arc. |
321 | 321 |
/// |
322 | 322 |
/// Gives back an unique integer id for the Arc. |
323 | 323 |
/// |
324 | 324 |
int id(const Arc&) const { return -1;} |
325 | 325 |
|
326 | 326 |
/// \brief Gives back the arc by the unique id. |
327 | 327 |
/// |
328 | 328 |
/// Gives back the arc by the unique id. |
329 | 329 |
/// If the digraph does not contain arc with the given id |
330 | 330 |
/// then the result of the function is undetermined. |
331 | 331 |
Arc arcFromId(int) const { return INVALID;} |
332 | 332 |
|
333 | 333 |
/// \brief Gives back an integer greater or equal to the maximum |
334 | 334 |
/// Node id. |
335 | 335 |
/// |
336 | 336 |
/// Gives back an integer greater or equal to the maximum Node |
337 | 337 |
/// id. |
338 | 338 |
int maxNodeId() const { return -1;} |
339 | 339 |
|
340 | 340 |
/// \brief Gives back an integer greater or equal to the maximum |
341 | 341 |
/// Arc id. |
342 | 342 |
/// |
343 | 343 |
/// Gives back an integer greater or equal to the maximum Arc |
344 | 344 |
/// id. |
345 | 345 |
int maxArcId() const { return -1;} |
346 | 346 |
|
347 | 347 |
template <typename _Digraph> |
348 | 348 |
struct Constraints { |
349 | 349 |
|
350 | 350 |
void constraints() { |
351 | 351 |
checkConcept<Base, _Digraph >(); |
352 | 352 |
typename _Digraph::Node node; |
353 | 353 |
int nid = digraph.id(node); |
354 | 354 |
nid = digraph.id(node); |
355 | 355 |
node = digraph.nodeFromId(nid); |
356 | 356 |
typename _Digraph::Arc arc; |
357 | 357 |
int eid = digraph.id(arc); |
358 | 358 |
eid = digraph.id(arc); |
359 | 359 |
arc = digraph.arcFromId(eid); |
360 | 360 |
|
361 | 361 |
nid = digraph.maxNodeId(); |
362 | 362 |
ignore_unused_variable_warning(nid); |
363 | 363 |
eid = digraph.maxArcId(); |
364 | 364 |
ignore_unused_variable_warning(eid); |
365 | 365 |
} |
366 | 366 |
|
367 | 367 |
const _Digraph& digraph; |
368 | 368 |
}; |
369 | 369 |
}; |
370 | 370 |
|
371 | 371 |
/// \brief An empty idable base undirected graph class. |
372 | 372 |
/// |
373 | 373 |
/// This class provides beside the core undirected graph features |
374 | 374 |
/// core id functions for the undirected graph structure. The |
375 |
/// most of the base undirected graphs should |
|
375 |
/// most of the base undirected graphs should conform to this |
|
376 | 376 |
/// concept. The id's are unique and immutable. |
377 | 377 |
template <typename _Base = BaseGraphComponent> |
378 | 378 |
class IDableGraphComponent : public IDableDigraphComponent<_Base> { |
379 | 379 |
public: |
380 | 380 |
|
381 | 381 |
typedef _Base Base; |
382 | 382 |
typedef typename Base::Edge Edge; |
383 | 383 |
|
384 | 384 |
using IDableDigraphComponent<_Base>::id; |
385 | 385 |
|
386 | 386 |
/// \brief Gives back an unique integer id for the Edge. |
387 | 387 |
/// |
388 | 388 |
/// Gives back an unique integer id for the Edge. |
389 | 389 |
/// |
390 | 390 |
int id(const Edge&) const { return -1;} |
391 | 391 |
|
392 | 392 |
/// \brief Gives back the edge by the unique id. |
393 | 393 |
/// |
394 | 394 |
/// Gives back the edge by the unique id. If the |
395 | 395 |
/// graph does not contain arc with the given id then the |
396 | 396 |
/// result of the function is undetermined. |
397 | 397 |
Edge edgeFromId(int) const { return INVALID;} |
398 | 398 |
|
399 | 399 |
/// \brief Gives back an integer greater or equal to the maximum |
400 | 400 |
/// Edge id. |
401 | 401 |
/// |
402 | 402 |
/// Gives back an integer greater or equal to the maximum Edge |
403 | 403 |
/// id. |
404 | 404 |
int maxEdgeId() const { return -1;} |
405 | 405 |
|
406 | 406 |
template <typename _Graph> |
407 | 407 |
struct Constraints { |
408 | 408 |
|
409 | 409 |
void constraints() { |
410 | 410 |
checkConcept<Base, _Graph >(); |
411 | 411 |
checkConcept<IDableDigraphComponent<Base>, _Graph >(); |
412 | 412 |
typename _Graph::Edge edge; |
413 | 413 |
int ueid = graph.id(edge); |
414 | 414 |
ueid = graph.id(edge); |
415 | 415 |
edge = graph.edgeFromId(ueid); |
416 | 416 |
ueid = graph.maxEdgeId(); |
417 | 417 |
ignore_unused_variable_warning(ueid); |
418 | 418 |
} |
419 | 419 |
|
420 | 420 |
const _Graph& graph; |
421 | 421 |
}; |
422 | 422 |
}; |
423 | 423 |
|
424 | 424 |
/// \brief Skeleton class for graph NodeIt and ArcIt |
425 | 425 |
/// |
426 | 426 |
/// Skeleton class for graph NodeIt and ArcIt. |
427 | 427 |
/// |
428 | 428 |
template <typename _Graph, typename _Item> |
429 | 429 |
class GraphItemIt : public _Item { |
430 | 430 |
public: |
431 | 431 |
/// \brief Default constructor. |
432 | 432 |
/// |
433 | 433 |
/// @warning The default constructor sets the iterator |
434 | 434 |
/// to an undefined value. |
435 | 435 |
GraphItemIt() {} |
436 | 436 |
/// \brief Copy constructor. |
437 | 437 |
/// |
438 | 438 |
/// Copy constructor. |
439 | 439 |
/// |
440 | 440 |
GraphItemIt(const GraphItemIt& ) {} |
441 | 441 |
/// \brief Sets the iterator to the first item. |
442 | 442 |
/// |
443 | 443 |
/// Sets the iterator to the first item of \c the graph. |
444 | 444 |
/// |
445 | 445 |
explicit GraphItemIt(const _Graph&) {} |
446 | 446 |
/// \brief Invalid constructor \& conversion. |
447 | 447 |
/// |
448 | 448 |
/// This constructor initializes the item to be invalid. |
449 | 449 |
/// \sa Invalid for more details. |
450 | 450 |
GraphItemIt(Invalid) {} |
451 | 451 |
/// \brief Assign operator for items. |
452 | 452 |
/// |
453 | 453 |
/// The items are assignable. |
454 | 454 |
/// |
455 | 455 |
GraphItemIt& operator=(const GraphItemIt&) { return *this; } |
456 | 456 |
/// \brief Next item. |
457 | 457 |
/// |
458 | 458 |
/// Assign the iterator to the next item. |
459 | 459 |
/// |
460 | 460 |
GraphItemIt& operator++() { return *this; } |
461 | 461 |
/// \brief Equality operator |
462 | 462 |
/// |
463 | 463 |
/// Two iterators are equal if and only if they point to the |
464 | 464 |
/// same object or both are invalid. |
465 | 465 |
bool operator==(const GraphItemIt&) const { return true;} |
466 | 466 |
/// \brief Inequality operator |
467 | 467 |
/// |
468 | 468 |
/// \sa operator==(Node n) |
469 | 469 |
/// |
470 | 470 |
bool operator!=(const GraphItemIt&) const { return true;} |
471 | 471 |
|
472 | 472 |
template<typename _GraphItemIt> |
473 | 473 |
struct Constraints { |
474 | 474 |
void constraints() { |
475 | 475 |
_GraphItemIt it1(g); |
476 | 476 |
_GraphItemIt it2; |
477 | 477 |
|
478 | 478 |
it2 = ++it1; |
479 | 479 |
++it2 = it1; |
480 | 480 |
++(++it1); |
481 | 481 |
|
482 | 482 |
_Item bi = it1; |
483 | 483 |
bi = it2; |
484 | 484 |
} |
485 | 485 |
_Graph& g; |
486 | 486 |
}; |
487 | 487 |
}; |
488 | 488 |
|
489 | 489 |
/// \brief Skeleton class for graph InArcIt and OutArcIt |
490 | 490 |
/// |
491 | 491 |
/// \note Because InArcIt and OutArcIt may not inherit from the same |
492 | 492 |
/// base class, the _selector is a additional template parameter. For |
493 | 493 |
/// InArcIt you should instantiate it with character 'i' and for |
494 | 494 |
/// OutArcIt with 'o'. |
495 | 495 |
template <typename _Graph, |
496 | 496 |
typename _Item = typename _Graph::Arc, |
497 | 497 |
typename _Base = typename _Graph::Node, |
498 | 498 |
char _selector = '0'> |
499 | 499 |
class GraphIncIt : public _Item { |
500 | 500 |
public: |
501 | 501 |
/// \brief Default constructor. |
502 | 502 |
/// |
503 | 503 |
/// @warning The default constructor sets the iterator |
504 | 504 |
/// to an undefined value. |
505 | 505 |
GraphIncIt() {} |
506 | 506 |
/// \brief Copy constructor. |
507 | 507 |
/// |
508 | 508 |
/// Copy constructor. |
509 | 509 |
/// |
510 | 510 |
GraphIncIt(GraphIncIt const& gi) : _Item(gi) {} |
511 | 511 |
/// \brief Sets the iterator to the first arc incoming into or outgoing |
512 | 512 |
/// from the node. |
513 | 513 |
/// |
514 | 514 |
/// Sets the iterator to the first arc incoming into or outgoing |
515 | 515 |
/// from the node. |
516 | 516 |
/// |
517 | 517 |
explicit GraphIncIt(const _Graph&, const _Base&) {} |
518 | 518 |
/// \brief Invalid constructor \& conversion. |
519 | 519 |
/// |
520 | 520 |
/// This constructor initializes the item to be invalid. |
521 | 521 |
/// \sa Invalid for more details. |
522 | 522 |
GraphIncIt(Invalid) {} |
523 | 523 |
/// \brief Assign operator for iterators. |
524 | 524 |
/// |
525 | 525 |
/// The iterators are assignable. |
526 | 526 |
/// |
527 | 527 |
GraphIncIt& operator=(GraphIncIt const&) { return *this; } |
528 | 528 |
/// \brief Next item. |
529 | 529 |
/// |
530 | 530 |
/// Assign the iterator to the next item. |
531 | 531 |
/// |
532 | 532 |
GraphIncIt& operator++() { return *this; } |
533 | 533 |
|
534 | 534 |
/// \brief Equality operator |
535 | 535 |
/// |
536 | 536 |
/// Two iterators are equal if and only if they point to the |
537 | 537 |
/// same object or both are invalid. |
538 | 538 |
bool operator==(const GraphIncIt&) const { return true;} |
539 | 539 |
|
540 | 540 |
/// \brief Inequality operator |
541 | 541 |
/// |
542 | 542 |
/// \sa operator==(Node n) |
543 | 543 |
/// |
544 | 544 |
bool operator!=(const GraphIncIt&) const { return true;} |
545 | 545 |
|
546 | 546 |
template <typename _GraphIncIt> |
547 | 547 |
struct Constraints { |
548 | 548 |
void constraints() { |
549 | 549 |
checkConcept<GraphItem<_selector>, _GraphIncIt>(); |
550 | 550 |
_GraphIncIt it1(graph, node); |
551 | 551 |
_GraphIncIt it2; |
552 | 552 |
|
553 | 553 |
it2 = ++it1; |
554 | 554 |
++it2 = it1; |
555 | 555 |
++(++it1); |
556 | 556 |
_Item e = it1; |
557 | 557 |
e = it2; |
558 | 558 |
|
559 | 559 |
} |
560 | 560 |
|
561 | 561 |
_Item arc; |
562 | 562 |
_Base node; |
563 | 563 |
_Graph graph; |
564 | 564 |
_GraphIncIt it; |
565 | 565 |
}; |
566 | 566 |
}; |
567 | 567 |
|
568 | 568 |
|
569 | 569 |
/// \brief An empty iterable digraph class. |
570 | 570 |
/// |
571 | 571 |
/// This class provides beside the core digraph features |
572 | 572 |
/// iterator based iterable interface for the digraph structure. |
573 | 573 |
/// This concept is part of the Digraph concept. |
574 | 574 |
template <typename _Base = BaseDigraphComponent> |
575 | 575 |
class IterableDigraphComponent : public _Base { |
576 | 576 |
|
577 | 577 |
public: |
578 | 578 |
|
579 | 579 |
typedef _Base Base; |
580 | 580 |
typedef typename Base::Node Node; |
581 | 581 |
typedef typename Base::Arc Arc; |
582 | 582 |
|
583 | 583 |
typedef IterableDigraphComponent Digraph; |
584 | 584 |
|
585 | 585 |
/// \name Base iteration |
586 | 586 |
/// |
587 | 587 |
/// This interface provides functions for iteration on digraph items |
588 | 588 |
/// |
589 | 589 |
/// @{ |
590 | 590 |
|
591 | 591 |
/// \brief Gives back the first node in the iterating order. |
592 | 592 |
/// |
593 | 593 |
/// Gives back the first node in the iterating order. |
594 | 594 |
/// |
595 | 595 |
void first(Node&) const {} |
596 | 596 |
|
597 | 597 |
/// \brief Gives back the next node in the iterating order. |
598 | 598 |
/// |
599 | 599 |
/// Gives back the next node in the iterating order. |
600 | 600 |
/// |
601 | 601 |
void next(Node&) const {} |
602 | 602 |
|
603 | 603 |
/// \brief Gives back the first arc in the iterating order. |
604 | 604 |
/// |
605 | 605 |
/// Gives back the first arc in the iterating order. |
606 | 606 |
/// |
607 | 607 |
void first(Arc&) const {} |
608 | 608 |
|
609 | 609 |
/// \brief Gives back the next arc in the iterating order. |
610 | 610 |
/// |
611 | 611 |
/// Gives back the next arc in the iterating order. |
612 | 612 |
/// |
613 | 613 |
void next(Arc&) const {} |
614 | 614 |
|
615 | 615 |
|
616 | 616 |
/// \brief Gives back the first of the arcs point to the given |
617 | 617 |
/// node. |
618 | 618 |
/// |
619 | 619 |
/// Gives back the first of the arcs point to the given node. |
620 | 620 |
/// |
621 | 621 |
void firstIn(Arc&, const Node&) const {} |
622 | 622 |
|
623 | 623 |
/// \brief Gives back the next of the arcs points to the given |
624 | 624 |
/// node. |
625 | 625 |
/// |
626 | 626 |
/// Gives back the next of the arcs points to the given node. |
627 | 627 |
/// |
628 | 628 |
void nextIn(Arc&) const {} |
629 | 629 |
|
630 | 630 |
/// \brief Gives back the first of the arcs start from the |
631 | 631 |
/// given node. |
632 | 632 |
/// |
633 | 633 |
/// Gives back the first of the arcs start from the given node. |
634 | 634 |
/// |
635 | 635 |
void firstOut(Arc&, const Node&) const {} |
636 | 636 |
|
637 | 637 |
/// \brief Gives back the next of the arcs start from the given |
638 | 638 |
/// node. |
639 | 639 |
/// |
640 | 640 |
/// Gives back the next of the arcs start from the given node. |
641 | 641 |
/// |
642 | 642 |
void nextOut(Arc&) const {} |
643 | 643 |
|
644 | 644 |
/// @} |
645 | 645 |
|
646 | 646 |
/// \name Class based iteration |
647 | 647 |
/// |
648 | 648 |
/// This interface provides functions for iteration on digraph items |
649 | 649 |
/// |
650 | 650 |
/// @{ |
651 | 651 |
|
652 | 652 |
/// \brief This iterator goes through each node. |
653 | 653 |
/// |
654 | 654 |
/// This iterator goes through each node. |
655 | 655 |
/// |
656 | 656 |
typedef GraphItemIt<Digraph, Node> NodeIt; |
657 | 657 |
|
658 | 658 |
/// \brief This iterator goes through each node. |
659 | 659 |
/// |
660 | 660 |
/// This iterator goes through each node. |
661 | 661 |
/// |
662 | 662 |
typedef GraphItemIt<Digraph, Arc> ArcIt; |
663 | 663 |
|
664 | 664 |
/// \brief This iterator goes trough the incoming arcs of a node. |
665 | 665 |
/// |
666 | 666 |
/// This iterator goes trough the \e inccoming arcs of a certain node |
667 | 667 |
/// of a digraph. |
668 | 668 |
typedef GraphIncIt<Digraph, Arc, Node, 'i'> InArcIt; |
669 | 669 |
|
670 | 670 |
/// \brief This iterator goes trough the outgoing arcs of a node. |
671 | 671 |
/// |
672 | 672 |
/// This iterator goes trough the \e outgoing arcs of a certain node |
673 | 673 |
/// of a digraph. |
674 | 674 |
typedef GraphIncIt<Digraph, Arc, Node, 'o'> OutArcIt; |
675 | 675 |
|
676 | 676 |
/// \brief The base node of the iterator. |
677 | 677 |
/// |
678 | 678 |
/// Gives back the base node of the iterator. |
679 | 679 |
/// It is always the target of the pointed arc. |
680 | 680 |
Node baseNode(const InArcIt&) const { return INVALID; } |
681 | 681 |
|
682 | 682 |
/// \brief The running node of the iterator. |
683 | 683 |
/// |
684 | 684 |
/// Gives back the running node of the iterator. |
685 | 685 |
/// It is always the source of the pointed arc. |
686 | 686 |
Node runningNode(const InArcIt&) const { return INVALID; } |
687 | 687 |
|
688 | 688 |
/// \brief The base node of the iterator. |
689 | 689 |
/// |
690 | 690 |
/// Gives back the base node of the iterator. |
691 | 691 |
/// It is always the source of the pointed arc. |
692 | 692 |
Node baseNode(const OutArcIt&) const { return INVALID; } |
693 | 693 |
|
694 | 694 |
/// \brief The running node of the iterator. |
695 | 695 |
/// |
696 | 696 |
/// Gives back the running node of the iterator. |
697 | 697 |
/// It is always the target of the pointed arc. |
698 | 698 |
Node runningNode(const OutArcIt&) const { return INVALID; } |
699 | 699 |
|
700 | 700 |
/// @} |
701 | 701 |
|
702 | 702 |
template <typename _Digraph> |
703 | 703 |
struct Constraints { |
704 | 704 |
void constraints() { |
705 | 705 |
checkConcept<Base, _Digraph>(); |
706 | 706 |
|
707 | 707 |
{ |
708 | 708 |
typename _Digraph::Node node(INVALID); |
709 | 709 |
typename _Digraph::Arc arc(INVALID); |
710 | 710 |
{ |
711 | 711 |
digraph.first(node); |
712 | 712 |
digraph.next(node); |
713 | 713 |
} |
714 | 714 |
{ |
715 | 715 |
digraph.first(arc); |
716 | 716 |
digraph.next(arc); |
717 | 717 |
} |
718 | 718 |
{ |
719 | 719 |
digraph.firstIn(arc, node); |
720 | 720 |
digraph.nextIn(arc); |
721 | 721 |
} |
722 | 722 |
{ |
723 | 723 |
digraph.firstOut(arc, node); |
724 | 724 |
digraph.nextOut(arc); |
725 | 725 |
} |
726 | 726 |
} |
727 | 727 |
|
728 | 728 |
{ |
729 | 729 |
checkConcept<GraphItemIt<_Digraph, typename _Digraph::Arc>, |
730 | 730 |
typename _Digraph::ArcIt >(); |
731 | 731 |
checkConcept<GraphItemIt<_Digraph, typename _Digraph::Node>, |
732 | 732 |
typename _Digraph::NodeIt >(); |
733 | 733 |
checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc, |
734 | 734 |
typename _Digraph::Node, 'i'>, typename _Digraph::InArcIt>(); |
735 | 735 |
checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc, |
736 | 736 |
typename _Digraph::Node, 'o'>, typename _Digraph::OutArcIt>(); |
737 | 737 |
|
738 | 738 |
typename _Digraph::Node n; |
739 | 739 |
typename _Digraph::InArcIt ieit(INVALID); |
740 | 740 |
typename _Digraph::OutArcIt oeit(INVALID); |
741 | 741 |
n = digraph.baseNode(ieit); |
742 | 742 |
n = digraph.runningNode(ieit); |
743 | 743 |
n = digraph.baseNode(oeit); |
744 | 744 |
n = digraph.runningNode(oeit); |
745 | 745 |
ignore_unused_variable_warning(n); |
746 | 746 |
} |
747 | 747 |
} |
748 | 748 |
|
749 | 749 |
const _Digraph& digraph; |
750 | 750 |
|
751 | 751 |
}; |
752 | 752 |
}; |
753 | 753 |
|
754 | 754 |
/// \brief An empty iterable undirected graph class. |
755 | 755 |
/// |
756 | 756 |
/// This class provides beside the core graph features iterator |
757 | 757 |
/// based iterable interface for the undirected graph structure. |
758 | 758 |
/// This concept is part of the Graph concept. |
759 | 759 |
template <typename _Base = BaseGraphComponent> |
760 | 760 |
class IterableGraphComponent : public IterableDigraphComponent<_Base> { |
761 | 761 |
public: |
762 | 762 |
|
763 | 763 |
typedef _Base Base; |
764 | 764 |
typedef typename Base::Node Node; |
765 | 765 |
typedef typename Base::Arc Arc; |
766 | 766 |
typedef typename Base::Edge Edge; |
767 | 767 |
|
768 | 768 |
|
769 | 769 |
typedef IterableGraphComponent Graph; |
770 | 770 |
|
771 | 771 |
/// \name Base iteration |
772 | 772 |
/// |
773 | 773 |
/// This interface provides functions for iteration on graph items |
774 | 774 |
/// @{ |
775 | 775 |
|
776 | 776 |
using IterableDigraphComponent<_Base>::first; |
777 | 777 |
using IterableDigraphComponent<_Base>::next; |
778 | 778 |
|
779 | 779 |
/// \brief Gives back the first edge in the iterating |
780 | 780 |
/// order. |
781 | 781 |
/// |
782 | 782 |
/// Gives back the first edge in the iterating order. |
783 | 783 |
/// |
784 | 784 |
void first(Edge&) const {} |
785 | 785 |
|
786 | 786 |
/// \brief Gives back the next edge in the iterating |
787 | 787 |
/// order. |
788 | 788 |
/// |
789 | 789 |
/// Gives back the next edge in the iterating order. |
790 | 790 |
/// |
791 | 791 |
void next(Edge&) const {} |
792 | 792 |
|
793 | 793 |
|
794 | 794 |
/// \brief Gives back the first of the edges from the |
795 | 795 |
/// given node. |
796 | 796 |
/// |
797 | 797 |
/// Gives back the first of the edges from the given |
798 | 798 |
/// node. The bool parameter gives back that direction which |
799 | 799 |
/// gives a good direction of the edge so the source of the |
800 | 800 |
/// directed arc is the given node. |
801 | 801 |
void firstInc(Edge&, bool&, const Node&) const {} |
802 | 802 |
|
803 | 803 |
/// \brief Gives back the next of the edges from the |
804 | 804 |
/// given node. |
805 | 805 |
/// |
806 | 806 |
/// Gives back the next of the edges from the given |
807 | 807 |
/// node. The bool parameter should be used as the \c firstInc() |
808 | 808 |
/// use it. |
809 | 809 |
void nextInc(Edge&, bool&) const {} |
810 | 810 |
|
811 | 811 |
using IterableDigraphComponent<_Base>::baseNode; |
812 | 812 |
using IterableDigraphComponent<_Base>::runningNode; |
813 | 813 |
|
814 | 814 |
/// @} |
815 | 815 |
|
816 | 816 |
/// \name Class based iteration |
817 | 817 |
/// |
818 | 818 |
/// This interface provides functions for iteration on graph items |
819 | 819 |
/// |
820 | 820 |
/// @{ |
821 | 821 |
|
822 | 822 |
/// \brief This iterator goes through each node. |
823 | 823 |
/// |
824 | 824 |
/// This iterator goes through each node. |
825 | 825 |
typedef GraphItemIt<Graph, Edge> EdgeIt; |
826 | 826 |
/// \brief This iterator goes trough the incident arcs of a |
827 | 827 |
/// node. |
828 | 828 |
/// |
829 | 829 |
/// This iterator goes trough the incident arcs of a certain |
830 | 830 |
/// node of a graph. |
831 | 831 |
typedef GraphIncIt<Graph, Edge, Node, 'u'> IncEdgeIt; |
832 | 832 |
/// \brief The base node of the iterator. |
833 | 833 |
/// |
834 | 834 |
/// Gives back the base node of the iterator. |
835 | 835 |
Node baseNode(const IncEdgeIt&) const { return INVALID; } |
836 | 836 |
|
837 | 837 |
/// \brief The running node of the iterator. |
838 | 838 |
/// |
839 | 839 |
/// Gives back the running node of the iterator. |
840 | 840 |
Node runningNode(const IncEdgeIt&) const { return INVALID; } |
841 | 841 |
|
842 | 842 |
/// @} |
843 | 843 |
|
844 | 844 |
template <typename _Graph> |
845 | 845 |
struct Constraints { |
846 | 846 |
void constraints() { |
847 | 847 |
checkConcept<IterableDigraphComponent<Base>, _Graph>(); |
848 | 848 |
|
849 | 849 |
{ |
850 | 850 |
typename _Graph::Node node(INVALID); |
851 | 851 |
typename _Graph::Edge edge(INVALID); |
852 | 852 |
bool dir; |
853 | 853 |
{ |
854 | 854 |
graph.first(edge); |
855 | 855 |
graph.next(edge); |
856 | 856 |
} |
857 | 857 |
{ |
858 | 858 |
graph.firstInc(edge, dir, node); |
859 | 859 |
graph.nextInc(edge, dir); |
860 | 860 |
} |
861 | 861 |
|
862 | 862 |
} |
863 | 863 |
|
864 | 864 |
{ |
865 | 865 |
checkConcept<GraphItemIt<_Graph, typename _Graph::Edge>, |
866 | 866 |
typename _Graph::EdgeIt >(); |
867 | 867 |
checkConcept<GraphIncIt<_Graph, typename _Graph::Edge, |
868 | 868 |
typename _Graph::Node, 'u'>, typename _Graph::IncEdgeIt>(); |
869 | 869 |
|
870 | 870 |
typename _Graph::Node n; |
871 | 871 |
typename _Graph::IncEdgeIt ueit(INVALID); |
872 | 872 |
n = graph.baseNode(ueit); |
873 | 873 |
n = graph.runningNode(ueit); |
874 | 874 |
} |
875 | 875 |
} |
876 | 876 |
|
877 | 877 |
const _Graph& graph; |
878 | 878 |
|
879 | 879 |
}; |
880 | 880 |
}; |
881 | 881 |
|
882 | 882 |
/// \brief An empty alteration notifier digraph class. |
883 | 883 |
/// |
884 | 884 |
/// This class provides beside the core digraph features alteration |
885 | 885 |
/// notifier interface for the digraph structure. This implements |
886 | 886 |
/// an observer-notifier pattern for each digraph item. More |
887 | 887 |
/// obsevers can be registered into the notifier and whenever an |
888 | 888 |
/// alteration occured in the digraph all the observers will |
889 | 889 |
/// notified about it. |
890 | 890 |
template <typename _Base = BaseDigraphComponent> |
891 | 891 |
class AlterableDigraphComponent : public _Base { |
892 | 892 |
public: |
893 | 893 |
|
894 | 894 |
typedef _Base Base; |
895 | 895 |
typedef typename Base::Node Node; |
896 | 896 |
typedef typename Base::Arc Arc; |
897 | 897 |
|
898 | 898 |
|
899 | 899 |
/// The node observer registry. |
900 | 900 |
typedef AlterationNotifier<AlterableDigraphComponent, Node> |
901 | 901 |
NodeNotifier; |
902 | 902 |
/// The arc observer registry. |
903 | 903 |
typedef AlterationNotifier<AlterableDigraphComponent, Arc> |
904 | 904 |
ArcNotifier; |
905 | 905 |
|
906 | 906 |
/// \brief Gives back the node alteration notifier. |
907 | 907 |
/// |
908 | 908 |
/// Gives back the node alteration notifier. |
909 | 909 |
NodeNotifier& notifier(Node) const { |
910 | 910 |
return NodeNotifier(); |
911 | 911 |
} |
912 | 912 |
|
913 | 913 |
/// \brief Gives back the arc alteration notifier. |
914 | 914 |
/// |
915 | 915 |
/// Gives back the arc alteration notifier. |
916 | 916 |
ArcNotifier& notifier(Arc) const { |
917 | 917 |
return ArcNotifier(); |
918 | 918 |
} |
919 | 919 |
|
920 | 920 |
template <typename _Digraph> |
921 | 921 |
struct Constraints { |
922 | 922 |
void constraints() { |
923 | 923 |
checkConcept<Base, _Digraph>(); |
924 | 924 |
typename _Digraph::NodeNotifier& nn |
925 | 925 |
= digraph.notifier(typename _Digraph::Node()); |
926 | 926 |
|
927 | 927 |
typename _Digraph::ArcNotifier& en |
928 | 928 |
= digraph.notifier(typename _Digraph::Arc()); |
929 | 929 |
|
930 | 930 |
ignore_unused_variable_warning(nn); |
931 | 931 |
ignore_unused_variable_warning(en); |
932 | 932 |
} |
933 | 933 |
|
934 | 934 |
const _Digraph& digraph; |
935 | 935 |
|
936 | 936 |
}; |
937 | 937 |
|
938 | 938 |
}; |
939 | 939 |
|
940 | 940 |
/// \brief An empty alteration notifier undirected graph class. |
941 | 941 |
/// |
942 | 942 |
/// This class provides beside the core graph features alteration |
943 | 943 |
/// notifier interface for the graph structure. This implements |
944 | 944 |
/// an observer-notifier pattern for each graph item. More |
945 | 945 |
/// obsevers can be registered into the notifier and whenever an |
946 | 946 |
/// alteration occured in the graph all the observers will |
947 | 947 |
/// notified about it. |
948 | 948 |
template <typename _Base = BaseGraphComponent> |
949 | 949 |
class AlterableGraphComponent : public AlterableDigraphComponent<_Base> { |
950 | 950 |
public: |
951 | 951 |
|
952 | 952 |
typedef _Base Base; |
953 | 953 |
typedef typename Base::Edge Edge; |
954 | 954 |
|
955 | 955 |
|
956 | 956 |
/// The arc observer registry. |
957 | 957 |
typedef AlterationNotifier<AlterableGraphComponent, Edge> |
958 | 958 |
EdgeNotifier; |
959 | 959 |
|
960 | 960 |
/// \brief Gives back the arc alteration notifier. |
961 | 961 |
/// |
962 | 962 |
/// Gives back the arc alteration notifier. |
963 | 963 |
EdgeNotifier& notifier(Edge) const { |
964 | 964 |
return EdgeNotifier(); |
965 | 965 |
} |
966 | 966 |
|
967 | 967 |
template <typename _Graph> |
968 | 968 |
struct Constraints { |
969 | 969 |
void constraints() { |
970 | 970 |
checkConcept<AlterableGraphComponent<Base>, _Graph>(); |
971 | 971 |
typename _Graph::EdgeNotifier& uen |
972 | 972 |
= graph.notifier(typename _Graph::Edge()); |
973 | 973 |
ignore_unused_variable_warning(uen); |
974 | 974 |
} |
975 | 975 |
|
976 | 976 |
const _Graph& graph; |
977 | 977 |
|
978 | 978 |
}; |
979 | 979 |
|
980 | 980 |
}; |
981 | 981 |
|
982 | 982 |
/// \brief Class describing the concept of graph maps |
983 | 983 |
/// |
984 | 984 |
/// This class describes the common interface of the graph maps |
985 | 985 |
/// (NodeMap, ArcMap), that is maps that can be used to |
986 | 986 |
/// associate data to graph descriptors (nodes or arcs). |
987 | 987 |
template <typename _Graph, typename _Item, typename _Value> |
988 | 988 |
class GraphMap : public ReadWriteMap<_Item, _Value> { |
989 | 989 |
public: |
990 | 990 |
|
991 | 991 |
typedef ReadWriteMap<_Item, _Value> Parent; |
992 | 992 |
|
993 | 993 |
/// The graph type of the map. |
994 | 994 |
typedef _Graph Graph; |
995 | 995 |
/// The key type of the map. |
996 | 996 |
typedef _Item Key; |
997 | 997 |
/// The value type of the map. |
998 | 998 |
typedef _Value Value; |
999 | 999 |
|
1000 | 1000 |
/// \brief Construct a new map. |
1001 | 1001 |
/// |
1002 | 1002 |
/// Construct a new map for the graph. |
1003 | 1003 |
explicit GraphMap(const Graph&) {} |
1004 | 1004 |
/// \brief Construct a new map with default value. |
1005 | 1005 |
/// |
1006 | 1006 |
/// Construct a new map for the graph and initalise the values. |
1007 | 1007 |
GraphMap(const Graph&, const Value&) {} |
1008 | 1008 |
|
1009 | 1009 |
private: |
1010 | 1010 |
/// \brief Copy constructor. |
1011 | 1011 |
/// |
1012 | 1012 |
/// Copy Constructor. |
1013 | 1013 |
GraphMap(const GraphMap&) : Parent() {} |
1014 | 1014 |
|
1015 | 1015 |
/// \brief Assign operator. |
1016 | 1016 |
/// |
1017 | 1017 |
/// Assign operator. It does not mofify the underlying graph, |
1018 | 1018 |
/// it just iterates on the current item set and set the map |
1019 | 1019 |
/// with the value returned by the assigned map. |
1020 | 1020 |
template <typename CMap> |
1021 | 1021 |
GraphMap& operator=(const CMap&) { |
1022 | 1022 |
checkConcept<ReadMap<Key, Value>, CMap>(); |
1023 | 1023 |
return *this; |
1024 | 1024 |
} |
1025 | 1025 |
|
1026 | 1026 |
public: |
1027 | 1027 |
template<typename _Map> |
1028 | 1028 |
struct Constraints { |
1029 | 1029 |
void constraints() { |
1030 | 1030 |
checkConcept<ReadWriteMap<Key, Value>, _Map >(); |
1031 | 1031 |
// Construction with a graph parameter |
1032 | 1032 |
_Map a(g); |
1033 | 1033 |
// Constructor with a graph and a default value parameter |
1034 | 1034 |
_Map a2(g,t); |
1035 | 1035 |
// Copy constructor. |
1036 | 1036 |
// _Map b(c); |
1037 | 1037 |
|
1038 | 1038 |
// ReadMap<Key, Value> cmap; |
1039 | 1039 |
// b = cmap; |
1040 | 1040 |
|
1041 | 1041 |
ignore_unused_variable_warning(a); |
1042 | 1042 |
ignore_unused_variable_warning(a2); |
1043 | 1043 |
// ignore_unused_variable_warning(b); |
1044 | 1044 |
} |
1045 | 1045 |
|
1046 | 1046 |
const _Map &c; |
1047 | 1047 |
const Graph &g; |
1048 | 1048 |
const typename GraphMap::Value &t; |
1049 | 1049 |
}; |
1050 | 1050 |
|
1051 | 1051 |
}; |
1052 | 1052 |
|
1053 | 1053 |
/// \brief An empty mappable digraph class. |
1054 | 1054 |
/// |
1055 | 1055 |
/// This class provides beside the core digraph features |
1056 | 1056 |
/// map interface for the digraph structure. |
1057 | 1057 |
/// This concept is part of the Digraph concept. |
1058 | 1058 |
template <typename _Base = BaseDigraphComponent> |
1059 | 1059 |
class MappableDigraphComponent : public _Base { |
1060 | 1060 |
public: |
1061 | 1061 |
|
1062 | 1062 |
typedef _Base Base; |
1063 | 1063 |
typedef typename Base::Node Node; |
1064 | 1064 |
typedef typename Base::Arc Arc; |
1065 | 1065 |
|
1066 | 1066 |
typedef MappableDigraphComponent Digraph; |
1067 | 1067 |
|
1068 | 1068 |
/// \brief ReadWrite map of the nodes. |
1069 | 1069 |
/// |
1070 | 1070 |
/// ReadWrite map of the nodes. |
1071 | 1071 |
/// |
1072 | 1072 |
template <typename _Value> |
1073 | 1073 |
class NodeMap : public GraphMap<Digraph, Node, _Value> { |
1074 | 1074 |
public: |
1075 | 1075 |
typedef GraphMap<MappableDigraphComponent, Node, _Value> Parent; |
1076 | 1076 |
|
1077 | 1077 |
/// \brief Construct a new map. |
1078 | 1078 |
/// |
1079 | 1079 |
/// Construct a new map for the digraph. |
1080 | 1080 |
explicit NodeMap(const MappableDigraphComponent& digraph) |
1081 | 1081 |
: Parent(digraph) {} |
1082 | 1082 |
|
1083 | 1083 |
/// \brief Construct a new map with default value. |
1084 | 1084 |
/// |
1085 | 1085 |
/// Construct a new map for the digraph and initalise the values. |
1086 | 1086 |
NodeMap(const MappableDigraphComponent& digraph, const _Value& value) |
1087 | 1087 |
: Parent(digraph, value) {} |
1088 | 1088 |
|
1089 | 1089 |
private: |
1090 | 1090 |
/// \brief Copy constructor. |
1091 | 1091 |
/// |
1092 | 1092 |
/// Copy Constructor. |
1093 | 1093 |
NodeMap(const NodeMap& nm) : Parent(nm) {} |
1094 | 1094 |
|
1095 | 1095 |
/// \brief Assign operator. |
1096 | 1096 |
/// |
1097 | 1097 |
/// Assign operator. |
1098 | 1098 |
template <typename CMap> |
1099 | 1099 |
NodeMap& operator=(const CMap&) { |
1100 | 1100 |
checkConcept<ReadMap<Node, _Value>, CMap>(); |
1101 | 1101 |
return *this; |
1102 | 1102 |
} |
1103 | 1103 |
|
1104 | 1104 |
}; |
1105 | 1105 |
|
1106 | 1106 |
/// \brief ReadWrite map of the arcs. |
1107 | 1107 |
/// |
1108 | 1108 |
/// ReadWrite map of the arcs. |
1109 | 1109 |
/// |
1110 | 1110 |
template <typename _Value> |
1111 | 1111 |
class ArcMap : public GraphMap<Digraph, Arc, _Value> { |
1112 | 1112 |
public: |
1113 | 1113 |
typedef GraphMap<MappableDigraphComponent, Arc, _Value> Parent; |
1114 | 1114 |
|
1115 | 1115 |
/// \brief Construct a new map. |
1116 | 1116 |
/// |
1117 | 1117 |
/// Construct a new map for the digraph. |
1118 | 1118 |
explicit ArcMap(const MappableDigraphComponent& digraph) |
1119 | 1119 |
: Parent(digraph) {} |
1120 | 1120 |
|
1121 | 1121 |
/// \brief Construct a new map with default value. |
1122 | 1122 |
/// |
1123 | 1123 |
/// Construct a new map for the digraph and initalise the values. |
1124 | 1124 |
ArcMap(const MappableDigraphComponent& digraph, const _Value& value) |
1125 | 1125 |
: Parent(digraph, value) {} |
1126 | 1126 |
|
1127 | 1127 |
private: |
1128 | 1128 |
/// \brief Copy constructor. |
1129 | 1129 |
/// |
1130 | 1130 |
/// Copy Constructor. |
1131 | 1131 |
ArcMap(const ArcMap& nm) : Parent(nm) {} |
1132 | 1132 |
|
1133 | 1133 |
/// \brief Assign operator. |
1134 | 1134 |
/// |
1135 | 1135 |
/// Assign operator. |
1136 | 1136 |
template <typename CMap> |
1137 | 1137 |
ArcMap& operator=(const CMap&) { |
1138 | 1138 |
checkConcept<ReadMap<Arc, _Value>, CMap>(); |
1139 | 1139 |
return *this; |
1140 | 1140 |
} |
1141 | 1141 |
|
1142 | 1142 |
}; |
1143 | 1143 |
|
1144 | 1144 |
|
1145 | 1145 |
template <typename _Digraph> |
1146 | 1146 |
struct Constraints { |
1147 | 1147 |
|
1148 | 1148 |
struct Dummy { |
1149 | 1149 |
int value; |
1150 | 1150 |
Dummy() : value(0) {} |
1151 | 1151 |
Dummy(int _v) : value(_v) {} |
1152 | 1152 |
}; |
1153 | 1153 |
|
1154 | 1154 |
void constraints() { |
1155 | 1155 |
checkConcept<Base, _Digraph>(); |
1156 | 1156 |
{ // int map test |
1157 | 1157 |
typedef typename _Digraph::template NodeMap<int> IntNodeMap; |
1158 | 1158 |
checkConcept<GraphMap<_Digraph, typename _Digraph::Node, int>, |
1159 | 1159 |
IntNodeMap >(); |
1160 | 1160 |
} { // bool map test |
1161 | 1161 |
typedef typename _Digraph::template NodeMap<bool> BoolNodeMap; |
1162 | 1162 |
checkConcept<GraphMap<_Digraph, typename _Digraph::Node, bool>, |
1163 | 1163 |
BoolNodeMap >(); |
1164 | 1164 |
} { // Dummy map test |
1165 | 1165 |
typedef typename _Digraph::template NodeMap<Dummy> DummyNodeMap; |
1166 | 1166 |
checkConcept<GraphMap<_Digraph, typename _Digraph::Node, Dummy>, |
1167 | 1167 |
DummyNodeMap >(); |
1168 | 1168 |
} |
1169 | 1169 |
|
1170 | 1170 |
{ // int map test |
1171 | 1171 |
typedef typename _Digraph::template ArcMap<int> IntArcMap; |
1172 | 1172 |
checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, int>, |
1173 | 1173 |
IntArcMap >(); |
1174 | 1174 |
} { // bool map test |
1175 | 1175 |
typedef typename _Digraph::template ArcMap<bool> BoolArcMap; |
1176 | 1176 |
checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, bool>, |
1177 | 1177 |
BoolArcMap >(); |
1178 | 1178 |
} { // Dummy map test |
1179 | 1179 |
typedef typename _Digraph::template ArcMap<Dummy> DummyArcMap; |
1180 | 1180 |
checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, Dummy>, |
1181 | 1181 |
DummyArcMap >(); |
1182 | 1182 |
} |
1183 | 1183 |
} |
1184 | 1184 |
|
1185 | 1185 |
_Digraph& digraph; |
1186 | 1186 |
}; |
1187 | 1187 |
}; |
1188 | 1188 |
|
1189 | 1189 |
/// \brief An empty mappable base bipartite graph class. |
1190 | 1190 |
/// |
1191 | 1191 |
/// This class provides beside the core graph features |
1192 | 1192 |
/// map interface for the graph structure. |
1193 | 1193 |
/// This concept is part of the Graph concept. |
1194 | 1194 |
template <typename _Base = BaseGraphComponent> |
1195 | 1195 |
class MappableGraphComponent : public MappableDigraphComponent<_Base> { |
1196 | 1196 |
public: |
1197 | 1197 |
|
1198 | 1198 |
typedef _Base Base; |
1199 | 1199 |
typedef typename Base::Edge Edge; |
1200 | 1200 |
|
1201 | 1201 |
typedef MappableGraphComponent Graph; |
1202 | 1202 |
|
1203 | 1203 |
/// \brief ReadWrite map of the edges. |
1204 | 1204 |
/// |
1205 | 1205 |
/// ReadWrite map of the edges. |
1206 | 1206 |
/// |
1207 | 1207 |
template <typename _Value> |
1208 | 1208 |
class EdgeMap : public GraphMap<Graph, Edge, _Value> { |
1209 | 1209 |
public: |
1210 | 1210 |
typedef GraphMap<MappableGraphComponent, Edge, _Value> Parent; |
1211 | 1211 |
|
1212 | 1212 |
/// \brief Construct a new map. |
1213 | 1213 |
/// |
1214 | 1214 |
/// Construct a new map for the graph. |
1215 | 1215 |
explicit EdgeMap(const MappableGraphComponent& graph) |
1216 | 1216 |
: Parent(graph) {} |
1217 | 1217 |
|
1218 | 1218 |
/// \brief Construct a new map with default value. |
1219 | 1219 |
/// |
1220 | 1220 |
/// Construct a new map for the graph and initalise the values. |
1221 | 1221 |
EdgeMap(const MappableGraphComponent& graph, const _Value& value) |
1222 | 1222 |
: Parent(graph, value) {} |
1223 | 1223 |
|
1224 | 1224 |
private: |
1225 | 1225 |
/// \brief Copy constructor. |
1226 | 1226 |
/// |
1227 | 1227 |
/// Copy Constructor. |
1228 | 1228 |
EdgeMap(const EdgeMap& nm) : Parent(nm) {} |
1229 | 1229 |
|
1230 | 1230 |
/// \brief Assign operator. |
1231 | 1231 |
/// |
1232 | 1232 |
/// Assign operator. |
1233 | 1233 |
template <typename CMap> |
1234 | 1234 |
EdgeMap& operator=(const CMap&) { |
1235 | 1235 |
checkConcept<ReadMap<Edge, _Value>, CMap>(); |
1236 | 1236 |
return *this; |
1237 | 1237 |
} |
1238 | 1238 |
|
1239 | 1239 |
}; |
1240 | 1240 |
|
1241 | 1241 |
|
1242 | 1242 |
template <typename _Graph> |
1243 | 1243 |
struct Constraints { |
1244 | 1244 |
|
1245 | 1245 |
struct Dummy { |
1246 | 1246 |
int value; |
1247 | 1247 |
Dummy() : value(0) {} |
1248 | 1248 |
Dummy(int _v) : value(_v) {} |
1249 | 1249 |
}; |
1250 | 1250 |
|
1251 | 1251 |
void constraints() { |
1252 | 1252 |
checkConcept<MappableGraphComponent<Base>, _Graph>(); |
1253 | 1253 |
|
1254 | 1254 |
{ // int map test |
1255 | 1255 |
typedef typename _Graph::template EdgeMap<int> IntEdgeMap; |
1256 | 1256 |
checkConcept<GraphMap<_Graph, typename _Graph::Edge, int>, |
1257 | 1257 |
IntEdgeMap >(); |
1258 | 1258 |
} { // bool map test |
1259 | 1259 |
typedef typename _Graph::template EdgeMap<bool> BoolEdgeMap; |
1260 | 1260 |
checkConcept<GraphMap<_Graph, typename _Graph::Edge, bool>, |
1261 | 1261 |
BoolEdgeMap >(); |
1262 | 1262 |
} { // Dummy map test |
1263 | 1263 |
typedef typename _Graph::template EdgeMap<Dummy> DummyEdgeMap; |
1264 | 1264 |
checkConcept<GraphMap<_Graph, typename _Graph::Edge, Dummy>, |
1265 | 1265 |
DummyEdgeMap >(); |
1266 | 1266 |
} |
1267 | 1267 |
} |
1268 | 1268 |
|
1269 | 1269 |
_Graph& graph; |
1270 | 1270 |
}; |
1271 | 1271 |
}; |
1272 | 1272 |
|
1273 | 1273 |
/// \brief An empty extendable digraph class. |
1274 | 1274 |
/// |
1275 | 1275 |
/// This class provides beside the core digraph features digraph |
1276 | 1276 |
/// extendable interface for the digraph structure. The main |
1277 | 1277 |
/// difference between the base and this interface is that the |
1278 | 1278 |
/// digraph alterations should handled already on this level. |
1279 | 1279 |
template <typename _Base = BaseDigraphComponent> |
1280 | 1280 |
class ExtendableDigraphComponent : public _Base { |
1281 | 1281 |
public: |
1282 | 1282 |
typedef _Base Base; |
1283 | 1283 |
|
1284 | 1284 |
typedef typename _Base::Node Node; |
1285 | 1285 |
typedef typename _Base::Arc Arc; |
1286 | 1286 |
|
1287 | 1287 |
/// \brief Adds a new node to the digraph. |
1288 | 1288 |
/// |
1289 | 1289 |
/// Adds a new node to the digraph. |
1290 | 1290 |
/// |
1291 | 1291 |
Node addNode() { |
1292 | 1292 |
return INVALID; |
1293 | 1293 |
} |
1294 | 1294 |
|
1295 | 1295 |
/// \brief Adds a new arc connects the given two nodes. |
1296 | 1296 |
/// |
1297 | 1297 |
/// Adds a new arc connects the the given two nodes. |
1298 | 1298 |
Arc addArc(const Node&, const Node&) { |
1299 | 1299 |
return INVALID; |
1300 | 1300 |
} |
1301 | 1301 |
|
1302 | 1302 |
template <typename _Digraph> |
1303 | 1303 |
struct Constraints { |
1304 | 1304 |
void constraints() { |
1305 | 1305 |
checkConcept<Base, _Digraph>(); |
1306 | 1306 |
typename _Digraph::Node node_a, node_b; |
1307 | 1307 |
node_a = digraph.addNode(); |
1308 | 1308 |
node_b = digraph.addNode(); |
1309 | 1309 |
typename _Digraph::Arc arc; |
1310 | 1310 |
arc = digraph.addArc(node_a, node_b); |
1311 | 1311 |
} |
1312 | 1312 |
|
1313 | 1313 |
_Digraph& digraph; |
1314 | 1314 |
}; |
1315 | 1315 |
}; |
1316 | 1316 |
|
1317 | 1317 |
/// \brief An empty extendable base undirected graph class. |
1318 | 1318 |
/// |
1319 | 1319 |
/// This class provides beside the core undirected graph features |
1320 | 1320 |
/// core undircted graph extend interface for the graph structure. |
1321 | 1321 |
/// The main difference between the base and this interface is |
1322 | 1322 |
/// that the graph alterations should handled already on this |
1323 | 1323 |
/// level. |
1324 | 1324 |
template <typename _Base = BaseGraphComponent> |
1325 | 1325 |
class ExtendableGraphComponent : public _Base { |
1326 | 1326 |
public: |
1327 | 1327 |
|
1328 | 1328 |
typedef _Base Base; |
1329 | 1329 |
typedef typename _Base::Node Node; |
1330 | 1330 |
typedef typename _Base::Edge Edge; |
1331 | 1331 |
|
1332 | 1332 |
/// \brief Adds a new node to the graph. |
1333 | 1333 |
/// |
1334 | 1334 |
/// Adds a new node to the graph. |
1335 | 1335 |
/// |
1336 | 1336 |
Node addNode() { |
1337 | 1337 |
return INVALID; |
1338 | 1338 |
} |
1339 | 1339 |
|
1340 | 1340 |
/// \brief Adds a new arc connects the given two nodes. |
1341 | 1341 |
/// |
1342 | 1342 |
/// Adds a new arc connects the the given two nodes. |
1343 | 1343 |
Edge addArc(const Node&, const Node&) { |
1344 | 1344 |
return INVALID; |
1345 | 1345 |
} |
1346 | 1346 |
|
1347 | 1347 |
template <typename _Graph> |
1348 | 1348 |
struct Constraints { |
1349 | 1349 |
void constraints() { |
1350 | 1350 |
checkConcept<Base, _Graph>(); |
1351 | 1351 |
typename _Graph::Node node_a, node_b; |
1352 | 1352 |
node_a = graph.addNode(); |
1353 | 1353 |
node_b = graph.addNode(); |
1354 | 1354 |
typename _Graph::Edge edge; |
1355 | 1355 |
edge = graph.addEdge(node_a, node_b); |
1356 | 1356 |
} |
1357 | 1357 |
|
1358 | 1358 |
_Graph& graph; |
1359 | 1359 |
}; |
1360 | 1360 |
}; |
1361 | 1361 |
|
1362 | 1362 |
/// \brief An empty erasable digraph class. |
1363 | 1363 |
/// |
1364 | 1364 |
/// This class provides beside the core digraph features core erase |
1365 | 1365 |
/// functions for the digraph structure. The main difference between |
1366 | 1366 |
/// the base and this interface is that the digraph alterations |
1367 | 1367 |
/// should handled already on this level. |
1368 | 1368 |
template <typename _Base = BaseDigraphComponent> |
1369 | 1369 |
class ErasableDigraphComponent : public _Base { |
1370 | 1370 |
public: |
1371 | 1371 |
|
1372 | 1372 |
typedef _Base Base; |
1373 | 1373 |
typedef typename Base::Node Node; |
1374 | 1374 |
typedef typename Base::Arc Arc; |
1375 | 1375 |
|
1376 | 1376 |
/// \brief Erase a node from the digraph. |
1377 | 1377 |
/// |
1378 | 1378 |
/// Erase a node from the digraph. This function should |
1379 | 1379 |
/// erase all arcs connecting to the node. |
1380 | 1380 |
void erase(const Node&) {} |
1381 | 1381 |
|
1382 | 1382 |
/// \brief Erase an arc from the digraph. |
1383 | 1383 |
/// |
1384 | 1384 |
/// Erase an arc from the digraph. |
1385 | 1385 |
/// |
1386 | 1386 |
void erase(const Arc&) {} |
1387 | 1387 |
|
1388 | 1388 |
template <typename _Digraph> |
1389 | 1389 |
struct Constraints { |
1390 | 1390 |
void constraints() { |
1391 | 1391 |
checkConcept<Base, _Digraph>(); |
1392 | 1392 |
typename _Digraph::Node node; |
1393 | 1393 |
digraph.erase(node); |
1394 | 1394 |
typename _Digraph::Arc arc; |
1395 | 1395 |
digraph.erase(arc); |
1396 | 1396 |
} |
1397 | 1397 |
|
1398 | 1398 |
_Digraph& digraph; |
1399 | 1399 |
}; |
1400 | 1400 |
}; |
1401 | 1401 |
|
1402 | 1402 |
/// \brief An empty erasable base undirected graph class. |
1403 | 1403 |
/// |
1404 | 1404 |
/// This class provides beside the core undirected graph features |
1405 | 1405 |
/// core erase functions for the undirceted graph structure. The |
1406 | 1406 |
/// main difference between the base and this interface is that |
1407 | 1407 |
/// the graph alterations should handled already on this level. |
1408 | 1408 |
template <typename _Base = BaseGraphComponent> |
1409 | 1409 |
class ErasableGraphComponent : public _Base { |
1410 | 1410 |
public: |
1411 | 1411 |
|
1412 | 1412 |
typedef _Base Base; |
1413 | 1413 |
typedef typename Base::Node Node; |
1414 | 1414 |
typedef typename Base::Edge Edge; |
1415 | 1415 |
|
1416 | 1416 |
/// \brief Erase a node from the graph. |
1417 | 1417 |
/// |
1418 | 1418 |
/// Erase a node from the graph. This function should erase |
1419 | 1419 |
/// arcs connecting to the node. |
1420 | 1420 |
void erase(const Node&) {} |
1421 | 1421 |
|
1422 | 1422 |
/// \brief Erase an arc from the graph. |
1423 | 1423 |
/// |
1424 | 1424 |
/// Erase an arc from the graph. |
1425 | 1425 |
/// |
1426 | 1426 |
void erase(const Edge&) {} |
1427 | 1427 |
|
1428 | 1428 |
template <typename _Graph> |
1429 | 1429 |
struct Constraints { |
1430 | 1430 |
void constraints() { |
1431 | 1431 |
checkConcept<Base, _Graph>(); |
1432 | 1432 |
typename _Graph::Node node; |
1433 | 1433 |
graph.erase(node); |
1434 | 1434 |
typename _Graph::Edge edge; |
1435 | 1435 |
graph.erase(edge); |
1436 | 1436 |
} |
1437 | 1437 |
|
1438 | 1438 |
_Graph& graph; |
1439 | 1439 |
}; |
1440 | 1440 |
}; |
1441 | 1441 |
|
1442 | 1442 |
/// \brief An empty clearable base digraph class. |
1443 | 1443 |
/// |
1444 | 1444 |
/// This class provides beside the core digraph features core clear |
1445 | 1445 |
/// functions for the digraph structure. The main difference between |
1446 | 1446 |
/// the base and this interface is that the digraph alterations |
1447 | 1447 |
/// should handled already on this level. |
1448 | 1448 |
template <typename _Base = BaseDigraphComponent> |
1449 | 1449 |
class ClearableDigraphComponent : public _Base { |
1450 | 1450 |
public: |
1451 | 1451 |
|
1452 | 1452 |
typedef _Base Base; |
1453 | 1453 |
|
1454 | 1454 |
/// \brief Erase all nodes and arcs from the digraph. |
1455 | 1455 |
/// |
1456 | 1456 |
/// Erase all nodes and arcs from the digraph. |
1457 | 1457 |
/// |
1458 | 1458 |
void clear() {} |
1459 | 1459 |
|
1460 | 1460 |
template <typename _Digraph> |
1461 | 1461 |
struct Constraints { |
1462 | 1462 |
void constraints() { |
1463 | 1463 |
checkConcept<Base, _Digraph>(); |
1464 | 1464 |
digraph.clear(); |
1465 | 1465 |
} |
1466 | 1466 |
|
1467 | 1467 |
_Digraph digraph; |
1468 | 1468 |
}; |
1469 | 1469 |
}; |
1470 | 1470 |
|
1471 | 1471 |
/// \brief An empty clearable base undirected graph class. |
1472 | 1472 |
/// |
1473 | 1473 |
/// This class provides beside the core undirected graph features |
1474 | 1474 |
/// core clear functions for the undirected graph structure. The |
1475 | 1475 |
/// main difference between the base and this interface is that |
1476 | 1476 |
/// the graph alterations should handled already on this level. |
1477 | 1477 |
template <typename _Base = BaseGraphComponent> |
1478 | 1478 |
class ClearableGraphComponent : public ClearableDigraphComponent<_Base> { |
1479 | 1479 |
public: |
1480 | 1480 |
|
1481 | 1481 |
typedef _Base Base; |
1482 | 1482 |
|
1483 | 1483 |
template <typename _Graph> |
1484 | 1484 |
struct Constraints { |
1485 | 1485 |
void constraints() { |
1486 | 1486 |
checkConcept<ClearableGraphComponent<Base>, _Graph>(); |
1487 | 1487 |
} |
1488 | 1488 |
|
1489 | 1489 |
_Graph graph; |
1490 | 1490 |
}; |
1491 | 1491 |
}; |
1492 | 1492 |
|
1493 | 1493 |
} |
1494 | 1494 |
|
1495 | 1495 |
} |
1496 | 1496 |
|
1497 | 1497 |
#endif |
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) 2003-2009 |
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_DFS_H |
20 | 20 |
#define LEMON_DFS_H |
21 | 21 |
|
22 | 22 |
///\ingroup search |
23 | 23 |
///\file |
24 | 24 |
///\brief DFS algorithm. |
25 | 25 |
|
26 | 26 |
#include <lemon/list_graph.h> |
27 | 27 |
#include <lemon/bits/path_dump.h> |
28 | 28 |
#include <lemon/core.h> |
29 | 29 |
#include <lemon/error.h> |
30 | 30 |
#include <lemon/maps.h> |
31 | 31 |
#include <lemon/path.h> |
32 | 32 |
|
33 | 33 |
namespace lemon { |
34 | 34 |
|
35 | 35 |
///Default traits class of Dfs class. |
36 | 36 |
|
37 | 37 |
///Default traits class of Dfs class. |
38 | 38 |
///\tparam GR Digraph type. |
39 | 39 |
template<class GR> |
40 | 40 |
struct DfsDefaultTraits |
41 | 41 |
{ |
42 | 42 |
///The type of the digraph the algorithm runs on. |
43 | 43 |
typedef GR Digraph; |
44 | 44 |
|
45 | 45 |
///\brief The type of the map that stores the predecessor |
46 | 46 |
///arcs of the %DFS paths. |
47 | 47 |
/// |
48 | 48 |
///The type of the map that stores the predecessor |
49 | 49 |
///arcs of the %DFS paths. |
50 | 50 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
51 | 51 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
52 |
///Instantiates a PredMap. |
|
52 |
///Instantiates a \c PredMap. |
|
53 | 53 |
|
54 |
///This function instantiates a PredMap. |
|
54 |
///This function instantiates a \ref PredMap. |
|
55 | 55 |
///\param g is the digraph, to which we would like to define the |
56 |
///PredMap. |
|
56 |
///\ref PredMap. |
|
57 | 57 |
static PredMap *createPredMap(const Digraph &g) |
58 | 58 |
{ |
59 | 59 |
return new PredMap(g); |
60 | 60 |
} |
61 | 61 |
|
62 | 62 |
///The type of the map that indicates which nodes are processed. |
63 | 63 |
|
64 | 64 |
///The type of the map that indicates which nodes are processed. |
65 | 65 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
66 | 66 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
67 |
///Instantiates a ProcessedMap. |
|
67 |
///Instantiates a \c ProcessedMap. |
|
68 | 68 |
|
69 |
///This function instantiates a ProcessedMap. |
|
69 |
///This function instantiates a \ref ProcessedMap. |
|
70 | 70 |
///\param g is the digraph, to which |
71 |
///we would like to define the ProcessedMap |
|
71 |
///we would like to define the \ref ProcessedMap. |
|
72 | 72 |
#ifdef DOXYGEN |
73 | 73 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
74 | 74 |
#else |
75 | 75 |
static ProcessedMap *createProcessedMap(const Digraph &) |
76 | 76 |
#endif |
77 | 77 |
{ |
78 | 78 |
return new ProcessedMap(); |
79 | 79 |
} |
80 | 80 |
|
81 | 81 |
///The type of the map that indicates which nodes are reached. |
82 | 82 |
|
83 | 83 |
///The type of the map that indicates which nodes are reached. |
84 | 84 |
///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
85 | 85 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
86 |
///Instantiates a ReachedMap. |
|
86 |
///Instantiates a \c ReachedMap. |
|
87 | 87 |
|
88 |
///This function instantiates a ReachedMap. |
|
88 |
///This function instantiates a \ref ReachedMap. |
|
89 | 89 |
///\param g is the digraph, to which |
90 |
///we would like to define the ReachedMap. |
|
90 |
///we would like to define the \ref ReachedMap. |
|
91 | 91 |
static ReachedMap *createReachedMap(const Digraph &g) |
92 | 92 |
{ |
93 | 93 |
return new ReachedMap(g); |
94 | 94 |
} |
95 | 95 |
|
96 | 96 |
///The type of the map that stores the distances of the nodes. |
97 | 97 |
|
98 | 98 |
///The type of the map that stores the distances of the nodes. |
99 | 99 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
100 | 100 |
typedef typename Digraph::template NodeMap<int> DistMap; |
101 |
///Instantiates a DistMap. |
|
101 |
///Instantiates a \c DistMap. |
|
102 | 102 |
|
103 |
///This function instantiates a DistMap. |
|
103 |
///This function instantiates a \ref DistMap. |
|
104 | 104 |
///\param g is the digraph, to which we would like to define the |
105 |
///DistMap. |
|
105 |
///\ref DistMap. |
|
106 | 106 |
static DistMap *createDistMap(const Digraph &g) |
107 | 107 |
{ |
108 | 108 |
return new DistMap(g); |
109 | 109 |
} |
110 | 110 |
}; |
111 | 111 |
|
112 | 112 |
///%DFS algorithm class. |
113 | 113 |
|
114 | 114 |
///\ingroup search |
115 | 115 |
///This class provides an efficient implementation of the %DFS algorithm. |
116 | 116 |
/// |
117 | 117 |
///There is also a \ref dfs() "function-type interface" for the DFS |
118 | 118 |
///algorithm, which is convenient in the simplier cases and it can be |
119 | 119 |
///used easier. |
120 | 120 |
/// |
121 | 121 |
///\tparam GR The type of the digraph the algorithm runs on. |
122 | 122 |
///The default type is \ref ListDigraph. |
123 | 123 |
#ifdef DOXYGEN |
124 | 124 |
template <typename GR, |
125 | 125 |
typename TR> |
126 | 126 |
#else |
127 | 127 |
template <typename GR=ListDigraph, |
128 | 128 |
typename TR=DfsDefaultTraits<GR> > |
129 | 129 |
#endif |
130 | 130 |
class Dfs { |
131 | 131 |
public: |
132 | 132 |
|
133 | 133 |
///The type of the digraph the algorithm runs on. |
134 | 134 |
typedef typename TR::Digraph Digraph; |
135 | 135 |
|
136 | 136 |
///\brief The type of the map that stores the predecessor arcs of the |
137 | 137 |
///DFS paths. |
138 | 138 |
typedef typename TR::PredMap PredMap; |
139 | 139 |
///The type of the map that stores the distances of the nodes. |
140 | 140 |
typedef typename TR::DistMap DistMap; |
141 | 141 |
///The type of the map that indicates which nodes are reached. |
142 | 142 |
typedef typename TR::ReachedMap ReachedMap; |
143 | 143 |
///The type of the map that indicates which nodes are processed. |
144 | 144 |
typedef typename TR::ProcessedMap ProcessedMap; |
145 | 145 |
///The type of the paths. |
146 | 146 |
typedef PredMapPath<Digraph, PredMap> Path; |
147 | 147 |
|
148 | 148 |
///The \ref DfsDefaultTraits "traits class" of the algorithm. |
149 | 149 |
typedef TR Traits; |
150 | 150 |
|
151 | 151 |
private: |
152 | 152 |
|
153 | 153 |
typedef typename Digraph::Node Node; |
154 | 154 |
typedef typename Digraph::NodeIt NodeIt; |
155 | 155 |
typedef typename Digraph::Arc Arc; |
156 | 156 |
typedef typename Digraph::OutArcIt OutArcIt; |
157 | 157 |
|
158 | 158 |
//Pointer to the underlying digraph. |
159 | 159 |
const Digraph *G; |
160 | 160 |
//Pointer to the map of predecessor arcs. |
161 | 161 |
PredMap *_pred; |
162 | 162 |
//Indicates if _pred is locally allocated (true) or not. |
163 | 163 |
bool local_pred; |
164 | 164 |
//Pointer to the map of distances. |
165 | 165 |
DistMap *_dist; |
166 | 166 |
//Indicates if _dist is locally allocated (true) or not. |
167 | 167 |
bool local_dist; |
168 | 168 |
//Pointer to the map of reached status of the nodes. |
169 | 169 |
ReachedMap *_reached; |
170 | 170 |
//Indicates if _reached is locally allocated (true) or not. |
171 | 171 |
bool local_reached; |
172 | 172 |
//Pointer to the map of processed status of the nodes. |
173 | 173 |
ProcessedMap *_processed; |
174 | 174 |
//Indicates if _processed is locally allocated (true) or not. |
175 | 175 |
bool local_processed; |
176 | 176 |
|
177 | 177 |
std::vector<typename Digraph::OutArcIt> _stack; |
178 | 178 |
int _stack_head; |
179 | 179 |
|
180 | 180 |
//Creates the maps if necessary. |
181 | 181 |
void create_maps() |
182 | 182 |
{ |
183 | 183 |
if(!_pred) { |
184 | 184 |
local_pred = true; |
185 | 185 |
_pred = Traits::createPredMap(*G); |
186 | 186 |
} |
187 | 187 |
if(!_dist) { |
188 | 188 |
local_dist = true; |
189 | 189 |
_dist = Traits::createDistMap(*G); |
190 | 190 |
} |
191 | 191 |
if(!_reached) { |
192 | 192 |
local_reached = true; |
193 | 193 |
_reached = Traits::createReachedMap(*G); |
194 | 194 |
} |
195 | 195 |
if(!_processed) { |
196 | 196 |
local_processed = true; |
197 | 197 |
_processed = Traits::createProcessedMap(*G); |
198 | 198 |
} |
199 | 199 |
} |
200 | 200 |
|
201 | 201 |
protected: |
202 | 202 |
|
203 | 203 |
Dfs() {} |
204 | 204 |
|
205 | 205 |
public: |
206 | 206 |
|
207 | 207 |
typedef Dfs Create; |
208 | 208 |
|
209 | 209 |
///\name Named template parameters |
210 | 210 |
|
211 | 211 |
///@{ |
212 | 212 |
|
213 | 213 |
template <class T> |
214 | 214 |
struct SetPredMapTraits : public Traits { |
215 | 215 |
typedef T PredMap; |
216 | 216 |
static PredMap *createPredMap(const Digraph &) |
217 | 217 |
{ |
218 | 218 |
LEMON_ASSERT(false, "PredMap is not initialized"); |
219 | 219 |
return 0; // ignore warnings |
220 | 220 |
} |
221 | 221 |
}; |
222 | 222 |
///\brief \ref named-templ-param "Named parameter" for setting |
223 |
///PredMap type. |
|
223 |
///\c PredMap type. |
|
224 | 224 |
/// |
225 | 225 |
///\ref named-templ-param "Named parameter" for setting |
226 |
///PredMap type. |
|
226 |
///\c PredMap type. |
|
227 | 227 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
228 | 228 |
template <class T> |
229 | 229 |
struct SetPredMap : public Dfs<Digraph, SetPredMapTraits<T> > { |
230 | 230 |
typedef Dfs<Digraph, SetPredMapTraits<T> > Create; |
231 | 231 |
}; |
232 | 232 |
|
233 | 233 |
template <class T> |
234 | 234 |
struct SetDistMapTraits : public Traits { |
235 | 235 |
typedef T DistMap; |
236 | 236 |
static DistMap *createDistMap(const Digraph &) |
237 | 237 |
{ |
238 | 238 |
LEMON_ASSERT(false, "DistMap is not initialized"); |
239 | 239 |
return 0; // ignore warnings |
240 | 240 |
} |
241 | 241 |
}; |
242 | 242 |
///\brief \ref named-templ-param "Named parameter" for setting |
243 |
///DistMap type. |
|
243 |
///\c DistMap type. |
|
244 | 244 |
/// |
245 | 245 |
///\ref named-templ-param "Named parameter" for setting |
246 |
///DistMap type. |
|
246 |
///\c DistMap type. |
|
247 | 247 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
248 | 248 |
template <class T> |
249 | 249 |
struct SetDistMap : public Dfs< Digraph, SetDistMapTraits<T> > { |
250 | 250 |
typedef Dfs<Digraph, SetDistMapTraits<T> > Create; |
251 | 251 |
}; |
252 | 252 |
|
253 | 253 |
template <class T> |
254 | 254 |
struct SetReachedMapTraits : public Traits { |
255 | 255 |
typedef T ReachedMap; |
256 | 256 |
static ReachedMap *createReachedMap(const Digraph &) |
257 | 257 |
{ |
258 | 258 |
LEMON_ASSERT(false, "ReachedMap is not initialized"); |
259 | 259 |
return 0; // ignore warnings |
260 | 260 |
} |
261 | 261 |
}; |
262 | 262 |
///\brief \ref named-templ-param "Named parameter" for setting |
263 |
///ReachedMap type. |
|
263 |
///\c ReachedMap type. |
|
264 | 264 |
/// |
265 | 265 |
///\ref named-templ-param "Named parameter" for setting |
266 |
///ReachedMap type. |
|
266 |
///\c ReachedMap type. |
|
267 | 267 |
///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
268 | 268 |
template <class T> |
269 | 269 |
struct SetReachedMap : public Dfs< Digraph, SetReachedMapTraits<T> > { |
270 | 270 |
typedef Dfs< Digraph, SetReachedMapTraits<T> > Create; |
271 | 271 |
}; |
272 | 272 |
|
273 | 273 |
template <class T> |
274 | 274 |
struct SetProcessedMapTraits : public Traits { |
275 | 275 |
typedef T ProcessedMap; |
276 | 276 |
static ProcessedMap *createProcessedMap(const Digraph &) |
277 | 277 |
{ |
278 | 278 |
LEMON_ASSERT(false, "ProcessedMap is not initialized"); |
279 | 279 |
return 0; // ignore warnings |
280 | 280 |
} |
281 | 281 |
}; |
282 | 282 |
///\brief \ref named-templ-param "Named parameter" for setting |
283 |
///ProcessedMap type. |
|
283 |
///\c ProcessedMap type. |
|
284 | 284 |
/// |
285 | 285 |
///\ref named-templ-param "Named parameter" for setting |
286 |
///ProcessedMap type. |
|
286 |
///\c ProcessedMap type. |
|
287 | 287 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
288 | 288 |
template <class T> |
289 | 289 |
struct SetProcessedMap : public Dfs< Digraph, SetProcessedMapTraits<T> > { |
290 | 290 |
typedef Dfs< Digraph, SetProcessedMapTraits<T> > Create; |
291 | 291 |
}; |
292 | 292 |
|
293 | 293 |
struct SetStandardProcessedMapTraits : public Traits { |
294 | 294 |
typedef typename Digraph::template NodeMap<bool> ProcessedMap; |
295 | 295 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
296 | 296 |
{ |
297 | 297 |
return new ProcessedMap(g); |
298 | 298 |
} |
299 | 299 |
}; |
300 | 300 |
///\brief \ref named-templ-param "Named parameter" for setting |
301 |
///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
301 |
///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
302 | 302 |
/// |
303 | 303 |
///\ref named-templ-param "Named parameter" for setting |
304 |
///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
304 |
///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
305 | 305 |
///If you don't set it explicitly, it will be automatically allocated. |
306 | 306 |
struct SetStandardProcessedMap : |
307 | 307 |
public Dfs< Digraph, SetStandardProcessedMapTraits > { |
308 | 308 |
typedef Dfs< Digraph, SetStandardProcessedMapTraits > Create; |
309 | 309 |
}; |
310 | 310 |
|
311 | 311 |
///@} |
312 | 312 |
|
313 | 313 |
public: |
314 | 314 |
|
315 | 315 |
///Constructor. |
316 | 316 |
|
317 | 317 |
///Constructor. |
318 | 318 |
///\param g The digraph the algorithm runs on. |
319 | 319 |
Dfs(const Digraph &g) : |
320 | 320 |
G(&g), |
321 | 321 |
_pred(NULL), local_pred(false), |
322 | 322 |
_dist(NULL), local_dist(false), |
323 | 323 |
_reached(NULL), local_reached(false), |
324 | 324 |
_processed(NULL), local_processed(false) |
325 | 325 |
{ } |
326 | 326 |
|
327 | 327 |
///Destructor. |
328 | 328 |
~Dfs() |
329 | 329 |
{ |
330 | 330 |
if(local_pred) delete _pred; |
331 | 331 |
if(local_dist) delete _dist; |
332 | 332 |
if(local_reached) delete _reached; |
333 | 333 |
if(local_processed) delete _processed; |
334 | 334 |
} |
335 | 335 |
|
336 | 336 |
///Sets the map that stores the predecessor arcs. |
337 | 337 |
|
338 | 338 |
///Sets the map that stores the predecessor arcs. |
339 | 339 |
///If you don't use this function before calling \ref run(Node) "run()" |
340 | 340 |
///or \ref init(), an instance will be allocated automatically. |
341 | 341 |
///The destructor deallocates this automatically allocated map, |
342 | 342 |
///of course. |
343 | 343 |
///\return <tt> (*this) </tt> |
344 | 344 |
Dfs &predMap(PredMap &m) |
345 | 345 |
{ |
346 | 346 |
if(local_pred) { |
347 | 347 |
delete _pred; |
348 | 348 |
local_pred=false; |
349 | 349 |
} |
350 | 350 |
_pred = &m; |
351 | 351 |
return *this; |
352 | 352 |
} |
353 | 353 |
|
354 | 354 |
///Sets the map that indicates which nodes are reached. |
355 | 355 |
|
356 | 356 |
///Sets the map that indicates which nodes are reached. |
357 | 357 |
///If you don't use this function before calling \ref run(Node) "run()" |
358 | 358 |
///or \ref init(), an instance will be allocated automatically. |
359 | 359 |
///The destructor deallocates this automatically allocated map, |
360 | 360 |
///of course. |
361 | 361 |
///\return <tt> (*this) </tt> |
362 | 362 |
Dfs &reachedMap(ReachedMap &m) |
363 | 363 |
{ |
364 | 364 |
if(local_reached) { |
365 | 365 |
delete _reached; |
366 | 366 |
local_reached=false; |
367 | 367 |
} |
368 | 368 |
_reached = &m; |
369 | 369 |
return *this; |
370 | 370 |
} |
371 | 371 |
|
372 | 372 |
///Sets the map that indicates which nodes are processed. |
373 | 373 |
|
374 | 374 |
///Sets the map that indicates which nodes are processed. |
375 | 375 |
///If you don't use this function before calling \ref run(Node) "run()" |
376 | 376 |
///or \ref init(), an instance will be allocated automatically. |
377 | 377 |
///The destructor deallocates this automatically allocated map, |
378 | 378 |
///of course. |
379 | 379 |
///\return <tt> (*this) </tt> |
380 | 380 |
Dfs &processedMap(ProcessedMap &m) |
381 | 381 |
{ |
382 | 382 |
if(local_processed) { |
383 | 383 |
delete _processed; |
384 | 384 |
local_processed=false; |
385 | 385 |
} |
386 | 386 |
_processed = &m; |
387 | 387 |
return *this; |
388 | 388 |
} |
389 | 389 |
|
390 | 390 |
///Sets the map that stores the distances of the nodes. |
391 | 391 |
|
392 | 392 |
///Sets the map that stores the distances of the nodes calculated by |
393 | 393 |
///the algorithm. |
394 | 394 |
///If you don't use this function before calling \ref run(Node) "run()" |
395 | 395 |
///or \ref init(), an instance will be allocated automatically. |
396 | 396 |
///The destructor deallocates this automatically allocated map, |
397 | 397 |
///of course. |
398 | 398 |
///\return <tt> (*this) </tt> |
399 | 399 |
Dfs &distMap(DistMap &m) |
400 | 400 |
{ |
401 | 401 |
if(local_dist) { |
402 | 402 |
delete _dist; |
403 | 403 |
local_dist=false; |
404 | 404 |
} |
405 | 405 |
_dist = &m; |
406 | 406 |
return *this; |
407 | 407 |
} |
408 | 408 |
|
409 | 409 |
public: |
410 | 410 |
|
411 | 411 |
///\name Execution Control |
412 | 412 |
///The simplest way to execute the DFS algorithm is to use one of the |
413 | 413 |
///member functions called \ref run(Node) "run()".\n |
414 | 414 |
///If you need more control on the execution, first you have to call |
415 | 415 |
///\ref init(), then you can add a source node with \ref addSource() |
416 | 416 |
///and perform the actual computation with \ref start(). |
417 | 417 |
///This procedure can be repeated if there are nodes that have not |
418 | 418 |
///been reached. |
419 | 419 |
|
420 | 420 |
///@{ |
421 | 421 |
|
422 | 422 |
///\brief Initializes the internal data structures. |
423 | 423 |
/// |
424 | 424 |
///Initializes the internal data structures. |
425 | 425 |
void init() |
426 | 426 |
{ |
427 | 427 |
create_maps(); |
428 | 428 |
_stack.resize(countNodes(*G)); |
429 | 429 |
_stack_head=-1; |
430 | 430 |
for ( NodeIt u(*G) ; u!=INVALID ; ++u ) { |
431 | 431 |
_pred->set(u,INVALID); |
432 | 432 |
_reached->set(u,false); |
433 | 433 |
_processed->set(u,false); |
434 | 434 |
} |
435 | 435 |
} |
436 | 436 |
|
437 | 437 |
///Adds a new source node. |
438 | 438 |
|
439 | 439 |
///Adds a new source node to the set of nodes to be processed. |
440 | 440 |
/// |
441 | 441 |
///\pre The stack must be empty. Otherwise the algorithm gives |
442 | 442 |
///wrong results. (One of the outgoing arcs of all the source nodes |
443 | 443 |
///except for the last one will not be visited and distances will |
444 | 444 |
///also be wrong.) |
445 | 445 |
void addSource(Node s) |
446 | 446 |
{ |
447 | 447 |
LEMON_DEBUG(emptyQueue(), "The stack is not empty."); |
448 | 448 |
if(!(*_reached)[s]) |
449 | 449 |
{ |
450 | 450 |
_reached->set(s,true); |
451 | 451 |
_pred->set(s,INVALID); |
452 | 452 |
OutArcIt e(*G,s); |
453 | 453 |
if(e!=INVALID) { |
454 | 454 |
_stack[++_stack_head]=e; |
455 | 455 |
_dist->set(s,_stack_head); |
456 | 456 |
} |
457 | 457 |
else { |
458 | 458 |
_processed->set(s,true); |
459 | 459 |
_dist->set(s,0); |
460 | 460 |
} |
461 | 461 |
} |
462 | 462 |
} |
463 | 463 |
|
464 | 464 |
///Processes the next arc. |
465 | 465 |
|
466 | 466 |
///Processes the next arc. |
467 | 467 |
/// |
468 | 468 |
///\return The processed arc. |
469 | 469 |
/// |
470 | 470 |
///\pre The stack must not be empty. |
471 | 471 |
Arc processNextArc() |
472 | 472 |
{ |
473 | 473 |
Node m; |
474 | 474 |
Arc e=_stack[_stack_head]; |
475 | 475 |
if(!(*_reached)[m=G->target(e)]) { |
476 | 476 |
_pred->set(m,e); |
477 | 477 |
_reached->set(m,true); |
478 | 478 |
++_stack_head; |
479 | 479 |
_stack[_stack_head] = OutArcIt(*G, m); |
480 | 480 |
_dist->set(m,_stack_head); |
481 | 481 |
} |
482 | 482 |
else { |
483 | 483 |
m=G->source(e); |
484 | 484 |
++_stack[_stack_head]; |
485 | 485 |
} |
486 | 486 |
while(_stack_head>=0 && _stack[_stack_head]==INVALID) { |
487 | 487 |
_processed->set(m,true); |
488 | 488 |
--_stack_head; |
489 | 489 |
if(_stack_head>=0) { |
490 | 490 |
m=G->source(_stack[_stack_head]); |
491 | 491 |
++_stack[_stack_head]; |
492 | 492 |
} |
493 | 493 |
} |
494 | 494 |
return e; |
495 | 495 |
} |
496 | 496 |
|
497 | 497 |
///Next arc to be processed. |
498 | 498 |
|
499 | 499 |
///Next arc to be processed. |
500 | 500 |
/// |
501 | 501 |
///\return The next arc to be processed or \c INVALID if the stack |
502 | 502 |
///is empty. |
503 | 503 |
OutArcIt nextArc() const |
504 | 504 |
{ |
505 | 505 |
return _stack_head>=0?_stack[_stack_head]:INVALID; |
506 | 506 |
} |
507 | 507 |
|
508 | 508 |
///Returns \c false if there are nodes to be processed. |
509 | 509 |
|
510 | 510 |
///Returns \c false if there are nodes to be processed |
511 | 511 |
///in the queue (stack). |
512 | 512 |
bool emptyQueue() const { return _stack_head<0; } |
513 | 513 |
|
514 | 514 |
///Returns the number of the nodes to be processed. |
515 | 515 |
|
516 | 516 |
///Returns the number of the nodes to be processed |
517 | 517 |
///in the queue (stack). |
518 | 518 |
int queueSize() const { return _stack_head+1; } |
519 | 519 |
|
520 | 520 |
///Executes the algorithm. |
521 | 521 |
|
522 | 522 |
///Executes the algorithm. |
523 | 523 |
/// |
524 | 524 |
///This method runs the %DFS algorithm from the root node |
525 | 525 |
///in order to compute the DFS path to each node. |
526 | 526 |
/// |
527 | 527 |
/// The algorithm computes |
528 | 528 |
///- the %DFS tree, |
529 | 529 |
///- the distance of each node from the root in the %DFS tree. |
530 | 530 |
/// |
531 | 531 |
///\pre init() must be called and a root node should be |
532 | 532 |
///added with addSource() before using this function. |
533 | 533 |
/// |
534 | 534 |
///\note <tt>d.start()</tt> is just a shortcut of the following code. |
535 | 535 |
///\code |
536 | 536 |
/// while ( !d.emptyQueue() ) { |
537 | 537 |
/// d.processNextArc(); |
538 | 538 |
/// } |
539 | 539 |
///\endcode |
540 | 540 |
void start() |
541 | 541 |
{ |
542 | 542 |
while ( !emptyQueue() ) processNextArc(); |
543 | 543 |
} |
544 | 544 |
|
545 | 545 |
///Executes the algorithm until the given target node is reached. |
546 | 546 |
|
547 | 547 |
///Executes the algorithm until the given target node is reached. |
548 | 548 |
/// |
549 | 549 |
///This method runs the %DFS algorithm from the root node |
550 | 550 |
///in order to compute the DFS path to \c t. |
551 | 551 |
/// |
552 | 552 |
///The algorithm computes |
553 | 553 |
///- the %DFS path to \c t, |
554 | 554 |
///- the distance of \c t from the root in the %DFS tree. |
555 | 555 |
/// |
556 | 556 |
///\pre init() must be called and a root node should be |
557 | 557 |
///added with addSource() before using this function. |
558 | 558 |
void start(Node t) |
559 | 559 |
{ |
560 | 560 |
while ( !emptyQueue() && G->target(_stack[_stack_head])!=t ) |
561 | 561 |
processNextArc(); |
562 | 562 |
} |
563 | 563 |
|
564 | 564 |
///Executes the algorithm until a condition is met. |
565 | 565 |
|
566 | 566 |
///Executes the algorithm until a condition is met. |
567 | 567 |
/// |
568 | 568 |
///This method runs the %DFS algorithm from the root node |
569 | 569 |
///until an arc \c a with <tt>am[a]</tt> true is found. |
570 | 570 |
/// |
571 | 571 |
///\param am A \c bool (or convertible) arc map. The algorithm |
572 | 572 |
///will stop when it reaches an arc \c a with <tt>am[a]</tt> true. |
573 | 573 |
/// |
574 | 574 |
///\return The reached arc \c a with <tt>am[a]</tt> true or |
575 | 575 |
///\c INVALID if no such arc was found. |
576 | 576 |
/// |
577 | 577 |
///\pre init() must be called and a root node should be |
578 | 578 |
///added with addSource() before using this function. |
579 | 579 |
/// |
580 | 580 |
///\warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map, |
581 | 581 |
///not a node map. |
582 | 582 |
template<class ArcBoolMap> |
583 | 583 |
Arc start(const ArcBoolMap &am) |
584 | 584 |
{ |
585 | 585 |
while ( !emptyQueue() && !am[_stack[_stack_head]] ) |
586 | 586 |
processNextArc(); |
587 | 587 |
return emptyQueue() ? INVALID : _stack[_stack_head]; |
588 | 588 |
} |
589 | 589 |
|
590 | 590 |
///Runs the algorithm from the given source node. |
591 | 591 |
|
592 | 592 |
///This method runs the %DFS algorithm from node \c s |
593 | 593 |
///in order to compute the DFS path to each node. |
594 | 594 |
/// |
595 | 595 |
///The algorithm computes |
596 | 596 |
///- the %DFS tree, |
597 | 597 |
///- the distance of each node from the root in the %DFS tree. |
598 | 598 |
/// |
599 | 599 |
///\note <tt>d.run(s)</tt> is just a shortcut of the following code. |
600 | 600 |
///\code |
601 | 601 |
/// d.init(); |
602 | 602 |
/// d.addSource(s); |
603 | 603 |
/// d.start(); |
604 | 604 |
///\endcode |
605 | 605 |
void run(Node s) { |
606 | 606 |
init(); |
607 | 607 |
addSource(s); |
608 | 608 |
start(); |
609 | 609 |
} |
610 | 610 |
|
611 | 611 |
///Finds the %DFS path between \c s and \c t. |
612 | 612 |
|
613 | 613 |
///This method runs the %DFS algorithm from node \c s |
614 | 614 |
///in order to compute the DFS path to node \c t |
615 | 615 |
///(it stops searching when \c t is processed) |
616 | 616 |
/// |
617 | 617 |
///\return \c true if \c t is reachable form \c s. |
618 | 618 |
/// |
619 | 619 |
///\note Apart from the return value, <tt>d.run(s,t)</tt> is |
620 | 620 |
///just a shortcut of the following code. |
621 | 621 |
///\code |
622 | 622 |
/// d.init(); |
623 | 623 |
/// d.addSource(s); |
624 | 624 |
/// d.start(t); |
625 | 625 |
///\endcode |
626 | 626 |
bool run(Node s,Node t) { |
627 | 627 |
init(); |
628 | 628 |
addSource(s); |
629 | 629 |
start(t); |
630 | 630 |
return reached(t); |
631 | 631 |
} |
632 | 632 |
|
633 | 633 |
///Runs the algorithm to visit all nodes in the digraph. |
634 | 634 |
|
635 | 635 |
///This method runs the %DFS algorithm in order to compute the |
636 | 636 |
///%DFS path to each node. |
637 | 637 |
/// |
638 | 638 |
///The algorithm computes |
639 | 639 |
///- the %DFS tree (forest), |
640 | 640 |
///- the distance of each node from the root(s) in the %DFS tree. |
641 | 641 |
/// |
642 | 642 |
///\note <tt>d.run()</tt> is just a shortcut of the following code. |
643 | 643 |
///\code |
644 | 644 |
/// d.init(); |
645 | 645 |
/// for (NodeIt n(digraph); n != INVALID; ++n) { |
646 | 646 |
/// if (!d.reached(n)) { |
647 | 647 |
/// d.addSource(n); |
648 | 648 |
/// d.start(); |
649 | 649 |
/// } |
650 | 650 |
/// } |
651 | 651 |
///\endcode |
652 | 652 |
void run() { |
653 | 653 |
init(); |
654 | 654 |
for (NodeIt it(*G); it != INVALID; ++it) { |
655 | 655 |
if (!reached(it)) { |
656 | 656 |
addSource(it); |
657 | 657 |
start(); |
658 | 658 |
} |
659 | 659 |
} |
660 | 660 |
} |
661 | 661 |
|
662 | 662 |
///@} |
663 | 663 |
|
664 | 664 |
///\name Query Functions |
665 | 665 |
///The results of the DFS algorithm can be obtained using these |
666 | 666 |
///functions.\n |
667 | 667 |
///Either \ref run(Node) "run()" or \ref start() should be called |
668 | 668 |
///before using them. |
669 | 669 |
|
670 | 670 |
///@{ |
671 | 671 |
|
672 | 672 |
///The DFS path to a node. |
673 | 673 |
|
674 | 674 |
///Returns the DFS path to a node. |
675 | 675 |
/// |
676 | 676 |
///\warning \c t should be reached from the root(s). |
677 | 677 |
/// |
678 | 678 |
///\pre Either \ref run(Node) "run()" or \ref init() |
679 | 679 |
///must be called before using this function. |
680 | 680 |
Path path(Node t) const { return Path(*G, *_pred, t); } |
681 | 681 |
|
682 | 682 |
///The distance of a node from the root(s). |
683 | 683 |
|
684 | 684 |
///Returns the distance of a node from the root(s). |
685 | 685 |
/// |
686 | 686 |
///\warning If node \c v is not reached from the root(s), then |
687 | 687 |
///the return value of this function is undefined. |
688 | 688 |
/// |
689 | 689 |
///\pre Either \ref run(Node) "run()" or \ref init() |
690 | 690 |
///must be called before using this function. |
691 | 691 |
int dist(Node v) const { return (*_dist)[v]; } |
692 | 692 |
|
693 | 693 |
///Returns the 'previous arc' of the %DFS tree for a node. |
694 | 694 |
|
695 | 695 |
///This function returns the 'previous arc' of the %DFS tree for the |
696 | 696 |
///node \c v, i.e. it returns the last arc of a %DFS path from a |
697 | 697 |
///root to \c v. It is \c INVALID if \c v is not reached from the |
698 | 698 |
///root(s) or if \c v is a root. |
699 | 699 |
/// |
700 | 700 |
///The %DFS tree used here is equal to the %DFS tree used in |
701 | 701 |
///\ref predNode(). |
702 | 702 |
/// |
703 | 703 |
///\pre Either \ref run(Node) "run()" or \ref init() |
704 | 704 |
///must be called before using this function. |
705 | 705 |
Arc predArc(Node v) const { return (*_pred)[v];} |
706 | 706 |
|
707 | 707 |
///Returns the 'previous node' of the %DFS tree. |
708 | 708 |
|
709 | 709 |
///This function returns the 'previous node' of the %DFS |
710 | 710 |
///tree for the node \c v, i.e. it returns the last but one node |
711 | 711 |
///from a %DFS path from a root to \c v. It is \c INVALID |
712 | 712 |
///if \c v is not reached from the root(s) or if \c v is a root. |
713 | 713 |
/// |
714 | 714 |
///The %DFS tree used here is equal to the %DFS tree used in |
715 | 715 |
///\ref predArc(). |
716 | 716 |
/// |
717 | 717 |
///\pre Either \ref run(Node) "run()" or \ref init() |
718 | 718 |
///must be called before using this function. |
719 | 719 |
Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID: |
720 | 720 |
G->source((*_pred)[v]); } |
721 | 721 |
|
722 | 722 |
///\brief Returns a const reference to the node map that stores the |
723 | 723 |
///distances of the nodes. |
724 | 724 |
/// |
725 | 725 |
///Returns a const reference to the node map that stores the |
726 | 726 |
///distances of the nodes calculated by the algorithm. |
727 | 727 |
/// |
728 | 728 |
///\pre Either \ref run(Node) "run()" or \ref init() |
729 | 729 |
///must be called before using this function. |
730 | 730 |
const DistMap &distMap() const { return *_dist;} |
731 | 731 |
|
732 | 732 |
///\brief Returns a const reference to the node map that stores the |
733 | 733 |
///predecessor arcs. |
734 | 734 |
/// |
735 | 735 |
///Returns a const reference to the node map that stores the predecessor |
736 | 736 |
///arcs, which form the DFS tree. |
737 | 737 |
/// |
738 | 738 |
///\pre Either \ref run(Node) "run()" or \ref init() |
739 | 739 |
///must be called before using this function. |
740 | 740 |
const PredMap &predMap() const { return *_pred;} |
741 | 741 |
|
742 | 742 |
///Checks if a node is reached from the root(s). |
743 | 743 |
|
744 | 744 |
///Returns \c true if \c v is reached from the root(s). |
745 | 745 |
/// |
746 | 746 |
///\pre Either \ref run(Node) "run()" or \ref init() |
747 | 747 |
///must be called before using this function. |
748 | 748 |
bool reached(Node v) const { return (*_reached)[v]; } |
749 | 749 |
|
750 | 750 |
///@} |
751 | 751 |
}; |
752 | 752 |
|
753 | 753 |
///Default traits class of dfs() function. |
754 | 754 |
|
755 | 755 |
///Default traits class of dfs() function. |
756 | 756 |
///\tparam GR Digraph type. |
757 | 757 |
template<class GR> |
758 | 758 |
struct DfsWizardDefaultTraits |
759 | 759 |
{ |
760 | 760 |
///The type of the digraph the algorithm runs on. |
761 | 761 |
typedef GR Digraph; |
762 | 762 |
|
763 | 763 |
///\brief The type of the map that stores the predecessor |
764 | 764 |
///arcs of the %DFS paths. |
765 | 765 |
/// |
766 | 766 |
///The type of the map that stores the predecessor |
767 | 767 |
///arcs of the %DFS paths. |
768 | 768 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
769 | 769 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
770 | 770 |
///Instantiates a PredMap. |
771 | 771 |
|
772 | 772 |
///This function instantiates a PredMap. |
773 | 773 |
///\param g is the digraph, to which we would like to define the |
774 | 774 |
///PredMap. |
775 | 775 |
static PredMap *createPredMap(const Digraph &g) |
776 | 776 |
{ |
777 | 777 |
return new PredMap(g); |
778 | 778 |
} |
779 | 779 |
|
780 | 780 |
///The type of the map that indicates which nodes are processed. |
781 | 781 |
|
782 | 782 |
///The type of the map that indicates which nodes are processed. |
783 | 783 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
784 | 784 |
///By default it is a NullMap. |
785 | 785 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
786 | 786 |
///Instantiates a ProcessedMap. |
787 | 787 |
|
788 | 788 |
///This function instantiates a ProcessedMap. |
789 | 789 |
///\param g is the digraph, to which |
790 | 790 |
///we would like to define the ProcessedMap. |
791 | 791 |
#ifdef DOXYGEN |
792 | 792 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
793 | 793 |
#else |
794 | 794 |
static ProcessedMap *createProcessedMap(const Digraph &) |
795 | 795 |
#endif |
796 | 796 |
{ |
797 | 797 |
return new ProcessedMap(); |
798 | 798 |
} |
799 | 799 |
|
800 | 800 |
///The type of the map that indicates which nodes are reached. |
801 | 801 |
|
802 | 802 |
///The type of the map that indicates which nodes are reached. |
803 | 803 |
///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
804 | 804 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
805 | 805 |
///Instantiates a ReachedMap. |
806 | 806 |
|
807 | 807 |
///This function instantiates a ReachedMap. |
808 | 808 |
///\param g is the digraph, to which |
809 | 809 |
///we would like to define the ReachedMap. |
810 | 810 |
static ReachedMap *createReachedMap(const Digraph &g) |
811 | 811 |
{ |
812 | 812 |
return new ReachedMap(g); |
813 | 813 |
} |
814 | 814 |
|
815 | 815 |
///The type of the map that stores the distances of the nodes. |
816 | 816 |
|
817 | 817 |
///The type of the map that stores the distances of the nodes. |
818 | 818 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
819 | 819 |
typedef typename Digraph::template NodeMap<int> DistMap; |
820 | 820 |
///Instantiates a DistMap. |
821 | 821 |
|
822 | 822 |
///This function instantiates a DistMap. |
823 | 823 |
///\param g is the digraph, to which we would like to define |
824 | 824 |
///the DistMap |
825 | 825 |
static DistMap *createDistMap(const Digraph &g) |
826 | 826 |
{ |
827 | 827 |
return new DistMap(g); |
828 | 828 |
} |
829 | 829 |
|
830 | 830 |
///The type of the DFS paths. |
831 | 831 |
|
832 | 832 |
///The type of the DFS paths. |
833 | 833 |
///It must meet the \ref concepts::Path "Path" concept. |
834 | 834 |
typedef lemon::Path<Digraph> Path; |
835 | 835 |
}; |
836 | 836 |
|
837 | 837 |
/// Default traits class used by DfsWizard |
838 | 838 |
|
839 | 839 |
/// To make it easier to use Dfs algorithm |
840 | 840 |
/// we have created a wizard class. |
841 | 841 |
/// This \ref DfsWizard class needs default traits, |
842 | 842 |
/// as well as the \ref Dfs class. |
843 | 843 |
/// The \ref DfsWizardBase is a class to be the default traits of the |
844 | 844 |
/// \ref DfsWizard class. |
845 | 845 |
template<class GR> |
846 | 846 |
class DfsWizardBase : public DfsWizardDefaultTraits<GR> |
847 | 847 |
{ |
848 | 848 |
|
849 | 849 |
typedef DfsWizardDefaultTraits<GR> Base; |
850 | 850 |
protected: |
851 | 851 |
//The type of the nodes in the digraph. |
852 | 852 |
typedef typename Base::Digraph::Node Node; |
853 | 853 |
|
854 | 854 |
//Pointer to the digraph the algorithm runs on. |
855 | 855 |
void *_g; |
856 | 856 |
//Pointer to the map of reached nodes. |
857 | 857 |
void *_reached; |
858 | 858 |
//Pointer to the map of processed nodes. |
859 | 859 |
void *_processed; |
860 | 860 |
//Pointer to the map of predecessors arcs. |
861 | 861 |
void *_pred; |
862 | 862 |
//Pointer to the map of distances. |
863 | 863 |
void *_dist; |
864 | 864 |
//Pointer to the DFS path to the target node. |
865 | 865 |
void *_path; |
866 | 866 |
//Pointer to the distance of the target node. |
867 | 867 |
int *_di; |
868 | 868 |
|
869 | 869 |
public: |
870 | 870 |
/// Constructor. |
871 | 871 |
|
872 | 872 |
/// This constructor does not require parameters, therefore it initiates |
873 | 873 |
/// all of the attributes to \c 0. |
874 | 874 |
DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0), |
875 | 875 |
_dist(0), _path(0), _di(0) {} |
876 | 876 |
|
877 | 877 |
/// Constructor. |
878 | 878 |
|
879 | 879 |
/// This constructor requires one parameter, |
880 | 880 |
/// others are initiated to \c 0. |
881 | 881 |
/// \param g The digraph the algorithm runs on. |
882 | 882 |
DfsWizardBase(const GR &g) : |
883 | 883 |
_g(reinterpret_cast<void*>(const_cast<GR*>(&g))), |
884 | 884 |
_reached(0), _processed(0), _pred(0), _dist(0), _path(0), _di(0) {} |
885 | 885 |
|
886 | 886 |
}; |
887 | 887 |
|
888 | 888 |
/// Auxiliary class for the function-type interface of DFS algorithm. |
889 | 889 |
|
890 | 890 |
/// This auxiliary class is created to implement the |
891 | 891 |
/// \ref dfs() "function-type interface" of \ref Dfs algorithm. |
892 | 892 |
/// It does not have own \ref run(Node) "run()" method, it uses the |
893 | 893 |
/// functions and features of the plain \ref Dfs. |
894 | 894 |
/// |
895 | 895 |
/// This class should only be used through the \ref dfs() function, |
896 | 896 |
/// which makes it easier to use the algorithm. |
897 | 897 |
template<class TR> |
898 | 898 |
class DfsWizard : public TR |
899 | 899 |
{ |
900 | 900 |
typedef TR Base; |
901 | 901 |
|
902 | 902 |
///The type of the digraph the algorithm runs on. |
903 | 903 |
typedef typename TR::Digraph Digraph; |
904 | 904 |
|
905 | 905 |
typedef typename Digraph::Node Node; |
906 | 906 |
typedef typename Digraph::NodeIt NodeIt; |
907 | 907 |
typedef typename Digraph::Arc Arc; |
908 | 908 |
typedef typename Digraph::OutArcIt OutArcIt; |
909 | 909 |
|
910 | 910 |
///\brief The type of the map that stores the predecessor |
911 | 911 |
///arcs of the DFS paths. |
912 | 912 |
typedef typename TR::PredMap PredMap; |
913 | 913 |
///\brief The type of the map that stores the distances of the nodes. |
914 | 914 |
typedef typename TR::DistMap DistMap; |
915 | 915 |
///\brief The type of the map that indicates which nodes are reached. |
916 | 916 |
typedef typename TR::ReachedMap ReachedMap; |
917 | 917 |
///\brief The type of the map that indicates which nodes are processed. |
918 | 918 |
typedef typename TR::ProcessedMap ProcessedMap; |
919 | 919 |
///The type of the DFS paths |
920 | 920 |
typedef typename TR::Path Path; |
921 | 921 |
|
922 | 922 |
public: |
923 | 923 |
|
924 | 924 |
/// Constructor. |
925 | 925 |
DfsWizard() : TR() {} |
926 | 926 |
|
927 | 927 |
/// Constructor that requires parameters. |
928 | 928 |
|
929 | 929 |
/// Constructor that requires parameters. |
930 | 930 |
/// These parameters will be the default values for the traits class. |
931 | 931 |
/// \param g The digraph the algorithm runs on. |
932 | 932 |
DfsWizard(const Digraph &g) : |
933 | 933 |
TR(g) {} |
934 | 934 |
|
935 | 935 |
///Copy constructor |
936 | 936 |
DfsWizard(const TR &b) : TR(b) {} |
937 | 937 |
|
938 | 938 |
~DfsWizard() {} |
939 | 939 |
|
940 | 940 |
///Runs DFS algorithm from the given source node. |
941 | 941 |
|
942 | 942 |
///This method runs DFS algorithm from node \c s |
943 | 943 |
///in order to compute the DFS path to each node. |
944 | 944 |
void run(Node s) |
945 | 945 |
{ |
946 | 946 |
Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g)); |
947 | 947 |
if (Base::_pred) |
948 | 948 |
alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
949 | 949 |
if (Base::_dist) |
950 | 950 |
alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
951 | 951 |
if (Base::_reached) |
952 | 952 |
alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached)); |
953 | 953 |
if (Base::_processed) |
954 | 954 |
alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed)); |
955 | 955 |
if (s!=INVALID) |
956 | 956 |
alg.run(s); |
957 | 957 |
else |
958 | 958 |
alg.run(); |
959 | 959 |
} |
960 | 960 |
|
961 | 961 |
///Finds the DFS path between \c s and \c t. |
962 | 962 |
|
963 | 963 |
///This method runs DFS algorithm from node \c s |
964 | 964 |
///in order to compute the DFS path to node \c t |
965 | 965 |
///(it stops searching when \c t is processed). |
966 | 966 |
/// |
967 | 967 |
///\return \c true if \c t is reachable form \c s. |
968 | 968 |
bool run(Node s, Node t) |
969 | 969 |
{ |
970 | 970 |
Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g)); |
971 | 971 |
if (Base::_pred) |
972 | 972 |
alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
973 | 973 |
if (Base::_dist) |
974 | 974 |
alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
975 | 975 |
if (Base::_reached) |
976 | 976 |
alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached)); |
977 | 977 |
if (Base::_processed) |
978 | 978 |
alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed)); |
979 | 979 |
alg.run(s,t); |
980 | 980 |
if (Base::_path) |
981 | 981 |
*reinterpret_cast<Path*>(Base::_path) = alg.path(t); |
982 | 982 |
if (Base::_di) |
983 | 983 |
*Base::_di = alg.dist(t); |
984 | 984 |
return alg.reached(t); |
985 | 985 |
} |
986 | 986 |
|
987 | 987 |
///Runs DFS algorithm to visit all nodes in the digraph. |
988 | 988 |
|
989 | 989 |
///This method runs DFS algorithm in order to compute |
990 | 990 |
///the DFS path to each node. |
991 | 991 |
void run() |
992 | 992 |
{ |
993 | 993 |
run(INVALID); |
994 | 994 |
} |
995 | 995 |
|
996 | 996 |
template<class T> |
997 | 997 |
struct SetPredMapBase : public Base { |
998 | 998 |
typedef T PredMap; |
999 | 999 |
static PredMap *createPredMap(const Digraph &) { return 0; }; |
1000 | 1000 |
SetPredMapBase(const TR &b) : TR(b) {} |
1001 | 1001 |
}; |
1002 | 1002 |
///\brief \ref named-func-param "Named parameter" |
1003 | 1003 |
///for setting PredMap object. |
1004 | 1004 |
/// |
1005 | 1005 |
///\ref named-func-param "Named parameter" |
1006 | 1006 |
///for setting PredMap object. |
1007 | 1007 |
template<class T> |
1008 | 1008 |
DfsWizard<SetPredMapBase<T> > predMap(const T &t) |
1009 | 1009 |
{ |
1010 | 1010 |
Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1011 | 1011 |
return DfsWizard<SetPredMapBase<T> >(*this); |
1012 | 1012 |
} |
1013 | 1013 |
|
1014 | 1014 |
template<class T> |
1015 | 1015 |
struct SetReachedMapBase : public Base { |
1016 | 1016 |
typedef T ReachedMap; |
1017 | 1017 |
static ReachedMap *createReachedMap(const Digraph &) { return 0; }; |
1018 | 1018 |
SetReachedMapBase(const TR &b) : TR(b) {} |
1019 | 1019 |
}; |
1020 | 1020 |
///\brief \ref named-func-param "Named parameter" |
1021 | 1021 |
///for setting ReachedMap object. |
1022 | 1022 |
/// |
1023 | 1023 |
/// \ref named-func-param "Named parameter" |
1024 | 1024 |
///for setting ReachedMap object. |
1025 | 1025 |
template<class T> |
1026 | 1026 |
DfsWizard<SetReachedMapBase<T> > reachedMap(const T &t) |
1027 | 1027 |
{ |
1028 | 1028 |
Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1029 | 1029 |
return DfsWizard<SetReachedMapBase<T> >(*this); |
1030 | 1030 |
} |
1031 | 1031 |
|
1032 | 1032 |
template<class T> |
1033 | 1033 |
struct SetDistMapBase : public Base { |
1034 | 1034 |
typedef T DistMap; |
1035 | 1035 |
static DistMap *createDistMap(const Digraph &) { return 0; }; |
1036 | 1036 |
SetDistMapBase(const TR &b) : TR(b) {} |
1037 | 1037 |
}; |
1038 | 1038 |
///\brief \ref named-func-param "Named parameter" |
1039 | 1039 |
///for setting DistMap object. |
1040 | 1040 |
/// |
1041 | 1041 |
/// \ref named-func-param "Named parameter" |
1042 | 1042 |
///for setting DistMap object. |
1043 | 1043 |
template<class T> |
1044 | 1044 |
DfsWizard<SetDistMapBase<T> > distMap(const T &t) |
1045 | 1045 |
{ |
1046 | 1046 |
Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1047 | 1047 |
return DfsWizard<SetDistMapBase<T> >(*this); |
1048 | 1048 |
} |
1049 | 1049 |
|
1050 | 1050 |
template<class T> |
1051 | 1051 |
struct SetProcessedMapBase : public Base { |
1052 | 1052 |
typedef T ProcessedMap; |
1053 | 1053 |
static ProcessedMap *createProcessedMap(const Digraph &) { return 0; }; |
1054 | 1054 |
SetProcessedMapBase(const TR &b) : TR(b) {} |
1055 | 1055 |
}; |
1056 | 1056 |
///\brief \ref named-func-param "Named parameter" |
1057 | 1057 |
///for setting ProcessedMap object. |
1058 | 1058 |
/// |
1059 | 1059 |
/// \ref named-func-param "Named parameter" |
1060 | 1060 |
///for setting ProcessedMap object. |
1061 | 1061 |
template<class T> |
1062 | 1062 |
DfsWizard<SetProcessedMapBase<T> > processedMap(const T &t) |
1063 | 1063 |
{ |
1064 | 1064 |
Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1065 | 1065 |
return DfsWizard<SetProcessedMapBase<T> >(*this); |
1066 | 1066 |
} |
1067 | 1067 |
|
1068 | 1068 |
template<class T> |
1069 | 1069 |
struct SetPathBase : public Base { |
1070 | 1070 |
typedef T Path; |
1071 | 1071 |
SetPathBase(const TR &b) : TR(b) {} |
1072 | 1072 |
}; |
1073 | 1073 |
///\brief \ref named-func-param "Named parameter" |
1074 | 1074 |
///for getting the DFS path to the target node. |
1075 | 1075 |
/// |
1076 | 1076 |
///\ref named-func-param "Named parameter" |
1077 | 1077 |
///for getting the DFS path to the target node. |
1078 | 1078 |
template<class T> |
1079 | 1079 |
DfsWizard<SetPathBase<T> > path(const T &t) |
1080 | 1080 |
{ |
1081 | 1081 |
Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1082 | 1082 |
return DfsWizard<SetPathBase<T> >(*this); |
1083 | 1083 |
} |
1084 | 1084 |
|
1085 | 1085 |
///\brief \ref named-func-param "Named parameter" |
1086 | 1086 |
///for getting the distance of the target node. |
1087 | 1087 |
/// |
1088 | 1088 |
///\ref named-func-param "Named parameter" |
1089 | 1089 |
///for getting the distance of the target node. |
1090 | 1090 |
DfsWizard dist(const int &d) |
1091 | 1091 |
{ |
1092 | 1092 |
Base::_di=const_cast<int*>(&d); |
1093 | 1093 |
return *this; |
1094 | 1094 |
} |
1095 | 1095 |
|
1096 | 1096 |
}; |
1097 | 1097 |
|
1098 | 1098 |
///Function-type interface for DFS algorithm. |
1099 | 1099 |
|
1100 | 1100 |
///\ingroup search |
1101 | 1101 |
///Function-type interface for DFS algorithm. |
1102 | 1102 |
/// |
1103 | 1103 |
///This function also has several \ref named-func-param "named parameters", |
1104 | 1104 |
///they are declared as the members of class \ref DfsWizard. |
1105 | 1105 |
///The following examples show how to use these parameters. |
1106 | 1106 |
///\code |
1107 | 1107 |
/// // Compute the DFS tree |
1108 | 1108 |
/// dfs(g).predMap(preds).distMap(dists).run(s); |
1109 | 1109 |
/// |
1110 | 1110 |
/// // Compute the DFS path from s to t |
1111 | 1111 |
/// bool reached = dfs(g).path(p).dist(d).run(s,t); |
1112 | 1112 |
///\endcode |
1113 | 1113 |
///\warning Don't forget to put the \ref DfsWizard::run(Node) "run()" |
1114 | 1114 |
///to the end of the parameter list. |
1115 | 1115 |
///\sa DfsWizard |
1116 | 1116 |
///\sa Dfs |
1117 | 1117 |
template<class GR> |
1118 | 1118 |
DfsWizard<DfsWizardBase<GR> > |
1119 | 1119 |
dfs(const GR &digraph) |
1120 | 1120 |
{ |
1121 | 1121 |
return DfsWizard<DfsWizardBase<GR> >(digraph); |
1122 | 1122 |
} |
1123 | 1123 |
|
1124 | 1124 |
#ifdef DOXYGEN |
1125 | 1125 |
/// \brief Visitor class for DFS. |
1126 | 1126 |
/// |
1127 | 1127 |
/// This class defines the interface of the DfsVisit events, and |
1128 | 1128 |
/// it could be the base of a real visitor class. |
1129 |
template <typename |
|
1129 |
template <typename GR> |
|
1130 | 1130 |
struct DfsVisitor { |
1131 |
typedef |
|
1131 |
typedef GR Digraph; |
|
1132 | 1132 |
typedef typename Digraph::Arc Arc; |
1133 | 1133 |
typedef typename Digraph::Node Node; |
1134 | 1134 |
/// \brief Called for the source node of the DFS. |
1135 | 1135 |
/// |
1136 | 1136 |
/// This function is called for the source node of the DFS. |
1137 | 1137 |
void start(const Node& node) {} |
1138 | 1138 |
/// \brief Called when the source node is leaved. |
1139 | 1139 |
/// |
1140 | 1140 |
/// This function is called when the source node is leaved. |
1141 | 1141 |
void stop(const Node& node) {} |
1142 | 1142 |
/// \brief Called when a node is reached first time. |
1143 | 1143 |
/// |
1144 | 1144 |
/// This function is called when a node is reached first time. |
1145 | 1145 |
void reach(const Node& node) {} |
1146 | 1146 |
/// \brief Called when an arc reaches a new node. |
1147 | 1147 |
/// |
1148 | 1148 |
/// This function is called when the DFS finds an arc whose target node |
1149 | 1149 |
/// is not reached yet. |
1150 | 1150 |
void discover(const Arc& arc) {} |
1151 | 1151 |
/// \brief Called when an arc is examined but its target node is |
1152 | 1152 |
/// already discovered. |
1153 | 1153 |
/// |
1154 | 1154 |
/// This function is called when an arc is examined but its target node is |
1155 | 1155 |
/// already discovered. |
1156 | 1156 |
void examine(const Arc& arc) {} |
1157 | 1157 |
/// \brief Called when the DFS steps back from a node. |
1158 | 1158 |
/// |
1159 | 1159 |
/// This function is called when the DFS steps back from a node. |
1160 | 1160 |
void leave(const Node& node) {} |
1161 | 1161 |
/// \brief Called when the DFS steps back on an arc. |
1162 | 1162 |
/// |
1163 | 1163 |
/// This function is called when the DFS steps back on an arc. |
1164 | 1164 |
void backtrack(const Arc& arc) {} |
1165 | 1165 |
}; |
1166 | 1166 |
#else |
1167 |
template <typename |
|
1167 |
template <typename GR> |
|
1168 | 1168 |
struct DfsVisitor { |
1169 |
typedef |
|
1169 |
typedef GR Digraph; |
|
1170 | 1170 |
typedef typename Digraph::Arc Arc; |
1171 | 1171 |
typedef typename Digraph::Node Node; |
1172 | 1172 |
void start(const Node&) {} |
1173 | 1173 |
void stop(const Node&) {} |
1174 | 1174 |
void reach(const Node&) {} |
1175 | 1175 |
void discover(const Arc&) {} |
1176 | 1176 |
void examine(const Arc&) {} |
1177 | 1177 |
void leave(const Node&) {} |
1178 | 1178 |
void backtrack(const Arc&) {} |
1179 | 1179 |
|
1180 | 1180 |
template <typename _Visitor> |
1181 | 1181 |
struct Constraints { |
1182 | 1182 |
void constraints() { |
1183 | 1183 |
Arc arc; |
1184 | 1184 |
Node node; |
1185 | 1185 |
visitor.start(node); |
1186 | 1186 |
visitor.stop(arc); |
1187 | 1187 |
visitor.reach(node); |
1188 | 1188 |
visitor.discover(arc); |
1189 | 1189 |
visitor.examine(arc); |
1190 | 1190 |
visitor.leave(node); |
1191 | 1191 |
visitor.backtrack(arc); |
1192 | 1192 |
} |
1193 | 1193 |
_Visitor& visitor; |
1194 | 1194 |
}; |
1195 | 1195 |
}; |
1196 | 1196 |
#endif |
1197 | 1197 |
|
1198 | 1198 |
/// \brief Default traits class of DfsVisit class. |
1199 | 1199 |
/// |
1200 | 1200 |
/// Default traits class of DfsVisit class. |
1201 | 1201 |
/// \tparam _Digraph The type of the digraph the algorithm runs on. |
1202 |
template<class |
|
1202 |
template<class GR> |
|
1203 | 1203 |
struct DfsVisitDefaultTraits { |
1204 | 1204 |
|
1205 | 1205 |
/// \brief The type of the digraph the algorithm runs on. |
1206 |
typedef |
|
1206 |
typedef GR Digraph; |
|
1207 | 1207 |
|
1208 | 1208 |
/// \brief The type of the map that indicates which nodes are reached. |
1209 | 1209 |
/// |
1210 | 1210 |
/// The type of the map that indicates which nodes are reached. |
1211 | 1211 |
/// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
1212 | 1212 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
1213 | 1213 |
|
1214 | 1214 |
/// \brief Instantiates a ReachedMap. |
1215 | 1215 |
/// |
1216 | 1216 |
/// This function instantiates a ReachedMap. |
1217 | 1217 |
/// \param digraph is the digraph, to which |
1218 | 1218 |
/// we would like to define the ReachedMap. |
1219 | 1219 |
static ReachedMap *createReachedMap(const Digraph &digraph) { |
1220 | 1220 |
return new ReachedMap(digraph); |
1221 | 1221 |
} |
1222 | 1222 |
|
1223 | 1223 |
}; |
1224 | 1224 |
|
1225 | 1225 |
/// \ingroup search |
1226 | 1226 |
/// |
1227 |
/// \brief |
|
1227 |
/// \brief DFS algorithm class with visitor interface. |
|
1228 | 1228 |
/// |
1229 |
/// This class provides an efficient implementation of the |
|
1229 |
/// This class provides an efficient implementation of the DFS algorithm |
|
1230 | 1230 |
/// with visitor interface. |
1231 | 1231 |
/// |
1232 |
/// The |
|
1232 |
/// The DfsVisit class provides an alternative interface to the Dfs |
|
1233 | 1233 |
/// class. It works with callback mechanism, the DfsVisit object calls |
1234 | 1234 |
/// the member functions of the \c Visitor class on every DFS event. |
1235 | 1235 |
/// |
1236 | 1236 |
/// This interface of the DFS algorithm should be used in special cases |
1237 | 1237 |
/// when extra actions have to be performed in connection with certain |
1238 | 1238 |
/// events of the DFS algorithm. Otherwise consider to use Dfs or dfs() |
1239 | 1239 |
/// instead. |
1240 | 1240 |
/// |
1241 |
/// \tparam _Digraph The type of the digraph the algorithm runs on. |
|
1242 |
/// The default value is |
|
1243 |
/// \ref ListDigraph. The value of _Digraph is not used directly by |
|
1244 |
/// \ref DfsVisit, it is only passed to \ref DfsVisitDefaultTraits. |
|
1245 |
/// \tparam _Visitor The Visitor type that is used by the algorithm. |
|
1246 |
/// \ref DfsVisitor "DfsVisitor<_Digraph>" is an empty visitor, which |
|
1241 |
/// \tparam GR The type of the digraph the algorithm runs on. |
|
1242 |
/// The default type is \ref ListDigraph. |
|
1243 |
/// The value of GR is not used directly by \ref DfsVisit, |
|
1244 |
/// it is only passed to \ref DfsVisitDefaultTraits. |
|
1245 |
/// \tparam VS The Visitor type that is used by the algorithm. |
|
1246 |
/// \ref DfsVisitor "DfsVisitor<GR>" is an empty visitor, which |
|
1247 | 1247 |
/// does not observe the DFS events. If you want to observe the DFS |
1248 | 1248 |
/// events, you should implement your own visitor class. |
1249 |
/// \tparam |
|
1249 |
/// \tparam TR Traits class to set various data types used by the |
|
1250 | 1250 |
/// algorithm. The default traits class is |
1251 |
/// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits< |
|
1251 |
/// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<GR>". |
|
1252 | 1252 |
/// See \ref DfsVisitDefaultTraits for the documentation of |
1253 | 1253 |
/// a DFS visit traits class. |
1254 | 1254 |
#ifdef DOXYGEN |
1255 |
template <typename |
|
1255 |
template <typename GR, typename VS, typename TR> |
|
1256 | 1256 |
#else |
1257 |
template <typename _Digraph = ListDigraph, |
|
1258 |
typename _Visitor = DfsVisitor<_Digraph>, |
|
1259 |
|
|
1257 |
template <typename GR = ListDigraph, |
|
1258 |
typename VS = DfsVisitor<GR>, |
|
1259 |
typename TR = DfsVisitDefaultTraits<GR> > |
|
1260 | 1260 |
#endif |
1261 | 1261 |
class DfsVisit { |
1262 | 1262 |
public: |
1263 | 1263 |
|
1264 | 1264 |
///The traits class. |
1265 |
typedef |
|
1265 |
typedef TR Traits; |
|
1266 | 1266 |
|
1267 | 1267 |
///The type of the digraph the algorithm runs on. |
1268 | 1268 |
typedef typename Traits::Digraph Digraph; |
1269 | 1269 |
|
1270 | 1270 |
///The visitor type used by the algorithm. |
1271 |
typedef |
|
1271 |
typedef VS Visitor; |
|
1272 | 1272 |
|
1273 | 1273 |
///The type of the map that indicates which nodes are reached. |
1274 | 1274 |
typedef typename Traits::ReachedMap ReachedMap; |
1275 | 1275 |
|
1276 | 1276 |
private: |
1277 | 1277 |
|
1278 | 1278 |
typedef typename Digraph::Node Node; |
1279 | 1279 |
typedef typename Digraph::NodeIt NodeIt; |
1280 | 1280 |
typedef typename Digraph::Arc Arc; |
1281 | 1281 |
typedef typename Digraph::OutArcIt OutArcIt; |
1282 | 1282 |
|
1283 | 1283 |
//Pointer to the underlying digraph. |
1284 | 1284 |
const Digraph *_digraph; |
1285 | 1285 |
//Pointer to the visitor object. |
1286 | 1286 |
Visitor *_visitor; |
1287 | 1287 |
//Pointer to the map of reached status of the nodes. |
1288 | 1288 |
ReachedMap *_reached; |
1289 | 1289 |
//Indicates if _reached is locally allocated (true) or not. |
1290 | 1290 |
bool local_reached; |
1291 | 1291 |
|
1292 | 1292 |
std::vector<typename Digraph::Arc> _stack; |
1293 | 1293 |
int _stack_head; |
1294 | 1294 |
|
1295 | 1295 |
//Creates the maps if necessary. |
1296 | 1296 |
void create_maps() { |
1297 | 1297 |
if(!_reached) { |
1298 | 1298 |
local_reached = true; |
1299 | 1299 |
_reached = Traits::createReachedMap(*_digraph); |
1300 | 1300 |
} |
1301 | 1301 |
} |
1302 | 1302 |
|
1303 | 1303 |
protected: |
1304 | 1304 |
|
1305 | 1305 |
DfsVisit() {} |
1306 | 1306 |
|
1307 | 1307 |
public: |
1308 | 1308 |
|
1309 | 1309 |
typedef DfsVisit Create; |
1310 | 1310 |
|
1311 | 1311 |
/// \name Named Template Parameters |
1312 | 1312 |
|
1313 | 1313 |
///@{ |
1314 | 1314 |
template <class T> |
1315 | 1315 |
struct SetReachedMapTraits : public Traits { |
1316 | 1316 |
typedef T ReachedMap; |
1317 | 1317 |
static ReachedMap *createReachedMap(const Digraph &digraph) { |
1318 | 1318 |
LEMON_ASSERT(false, "ReachedMap is not initialized"); |
1319 | 1319 |
return 0; // ignore warnings |
1320 | 1320 |
} |
1321 | 1321 |
}; |
1322 | 1322 |
/// \brief \ref named-templ-param "Named parameter" for setting |
1323 | 1323 |
/// ReachedMap type. |
1324 | 1324 |
/// |
1325 | 1325 |
/// \ref named-templ-param "Named parameter" for setting ReachedMap type. |
1326 | 1326 |
template <class T> |
1327 | 1327 |
struct SetReachedMap : public DfsVisit< Digraph, Visitor, |
1328 | 1328 |
SetReachedMapTraits<T> > { |
1329 | 1329 |
typedef DfsVisit< Digraph, Visitor, SetReachedMapTraits<T> > Create; |
1330 | 1330 |
}; |
1331 | 1331 |
///@} |
1332 | 1332 |
|
1333 | 1333 |
public: |
1334 | 1334 |
|
1335 | 1335 |
/// \brief Constructor. |
1336 | 1336 |
/// |
1337 | 1337 |
/// Constructor. |
1338 | 1338 |
/// |
1339 | 1339 |
/// \param digraph The digraph the algorithm runs on. |
1340 | 1340 |
/// \param visitor The visitor object of the algorithm. |
1341 | 1341 |
DfsVisit(const Digraph& digraph, Visitor& visitor) |
1342 | 1342 |
: _digraph(&digraph), _visitor(&visitor), |
1343 | 1343 |
_reached(0), local_reached(false) {} |
1344 | 1344 |
|
1345 | 1345 |
/// \brief Destructor. |
1346 | 1346 |
~DfsVisit() { |
1347 | 1347 |
if(local_reached) delete _reached; |
1348 | 1348 |
} |
1349 | 1349 |
|
1350 | 1350 |
/// \brief Sets the map that indicates which nodes are reached. |
1351 | 1351 |
/// |
1352 | 1352 |
/// Sets the map that indicates which nodes are reached. |
1353 | 1353 |
/// If you don't use this function before calling \ref run(Node) "run()" |
1354 | 1354 |
/// or \ref init(), an instance will be allocated automatically. |
1355 | 1355 |
/// The destructor deallocates this automatically allocated map, |
1356 | 1356 |
/// of course. |
1357 | 1357 |
/// \return <tt> (*this) </tt> |
1358 | 1358 |
DfsVisit &reachedMap(ReachedMap &m) { |
1359 | 1359 |
if(local_reached) { |
1360 | 1360 |
delete _reached; |
1361 | 1361 |
local_reached=false; |
1362 | 1362 |
} |
1363 | 1363 |
_reached = &m; |
1364 | 1364 |
return *this; |
1365 | 1365 |
} |
1366 | 1366 |
|
1367 | 1367 |
public: |
1368 | 1368 |
|
1369 | 1369 |
/// \name Execution Control |
1370 | 1370 |
/// The simplest way to execute the DFS algorithm is to use one of the |
1371 | 1371 |
/// member functions called \ref run(Node) "run()".\n |
1372 | 1372 |
/// If you need more control on the execution, first you have to call |
1373 | 1373 |
/// \ref init(), then you can add a source node with \ref addSource() |
1374 | 1374 |
/// and perform the actual computation with \ref start(). |
1375 | 1375 |
/// This procedure can be repeated if there are nodes that have not |
1376 | 1376 |
/// been reached. |
1377 | 1377 |
|
1378 | 1378 |
/// @{ |
1379 | 1379 |
|
1380 | 1380 |
/// \brief Initializes the internal data structures. |
1381 | 1381 |
/// |
1382 | 1382 |
/// Initializes the internal data structures. |
1383 | 1383 |
void init() { |
1384 | 1384 |
create_maps(); |
1385 | 1385 |
_stack.resize(countNodes(*_digraph)); |
1386 | 1386 |
_stack_head = -1; |
1387 | 1387 |
for (NodeIt u(*_digraph) ; u != INVALID ; ++u) { |
1388 | 1388 |
_reached->set(u, false); |
1389 | 1389 |
} |
1390 | 1390 |
} |
1391 | 1391 |
|
1392 | 1392 |
/// \brief Adds a new source node. |
1393 | 1393 |
/// |
1394 | 1394 |
/// Adds a new source node to the set of nodes to be processed. |
1395 | 1395 |
/// |
1396 | 1396 |
/// \pre The stack must be empty. Otherwise the algorithm gives |
1397 | 1397 |
/// wrong results. (One of the outgoing arcs of all the source nodes |
1398 | 1398 |
/// except for the last one will not be visited and distances will |
1399 | 1399 |
/// also be wrong.) |
1400 | 1400 |
void addSource(Node s) |
1401 | 1401 |
{ |
1402 | 1402 |
LEMON_DEBUG(emptyQueue(), "The stack is not empty."); |
1403 | 1403 |
if(!(*_reached)[s]) { |
1404 | 1404 |
_reached->set(s,true); |
1405 | 1405 |
_visitor->start(s); |
1406 | 1406 |
_visitor->reach(s); |
1407 | 1407 |
Arc e; |
1408 | 1408 |
_digraph->firstOut(e, s); |
1409 | 1409 |
if (e != INVALID) { |
1410 | 1410 |
_stack[++_stack_head] = e; |
1411 | 1411 |
} else { |
1412 | 1412 |
_visitor->leave(s); |
1413 | 1413 |
_visitor->stop(s); |
1414 | 1414 |
} |
1415 | 1415 |
} |
1416 | 1416 |
} |
1417 | 1417 |
|
1418 | 1418 |
/// \brief Processes the next arc. |
1419 | 1419 |
/// |
1420 | 1420 |
/// Processes the next arc. |
1421 | 1421 |
/// |
1422 | 1422 |
/// \return The processed arc. |
1423 | 1423 |
/// |
1424 | 1424 |
/// \pre The stack must not be empty. |
1425 | 1425 |
Arc processNextArc() { |
1426 | 1426 |
Arc e = _stack[_stack_head]; |
1427 | 1427 |
Node m = _digraph->target(e); |
1428 | 1428 |
if(!(*_reached)[m]) { |
1429 | 1429 |
_visitor->discover(e); |
1430 | 1430 |
_visitor->reach(m); |
1431 | 1431 |
_reached->set(m, true); |
1432 | 1432 |
_digraph->firstOut(_stack[++_stack_head], m); |
1433 | 1433 |
} else { |
1434 | 1434 |
_visitor->examine(e); |
1435 | 1435 |
m = _digraph->source(e); |
1436 | 1436 |
_digraph->nextOut(_stack[_stack_head]); |
1437 | 1437 |
} |
1438 | 1438 |
while (_stack_head>=0 && _stack[_stack_head] == INVALID) { |
1439 | 1439 |
_visitor->leave(m); |
1440 | 1440 |
--_stack_head; |
1441 | 1441 |
if (_stack_head >= 0) { |
1442 | 1442 |
_visitor->backtrack(_stack[_stack_head]); |
1443 | 1443 |
m = _digraph->source(_stack[_stack_head]); |
1444 | 1444 |
_digraph->nextOut(_stack[_stack_head]); |
1445 | 1445 |
} else { |
1446 | 1446 |
_visitor->stop(m); |
1447 | 1447 |
} |
1448 | 1448 |
} |
1449 | 1449 |
return e; |
1450 | 1450 |
} |
1451 | 1451 |
|
1452 | 1452 |
/// \brief Next arc to be processed. |
1453 | 1453 |
/// |
1454 | 1454 |
/// Next arc to be processed. |
1455 | 1455 |
/// |
1456 | 1456 |
/// \return The next arc to be processed or INVALID if the stack is |
1457 | 1457 |
/// empty. |
1458 | 1458 |
Arc nextArc() const { |
1459 | 1459 |
return _stack_head >= 0 ? _stack[_stack_head] : INVALID; |
1460 | 1460 |
} |
1461 | 1461 |
|
1462 | 1462 |
/// \brief Returns \c false if there are nodes |
1463 | 1463 |
/// to be processed. |
1464 | 1464 |
/// |
1465 | 1465 |
/// Returns \c false if there are nodes |
1466 | 1466 |
/// to be processed in the queue (stack). |
1467 | 1467 |
bool emptyQueue() const { return _stack_head < 0; } |
1468 | 1468 |
|
1469 | 1469 |
/// \brief Returns the number of the nodes to be processed. |
1470 | 1470 |
/// |
1471 | 1471 |
/// Returns the number of the nodes to be processed in the queue (stack). |
1472 | 1472 |
int queueSize() const { return _stack_head + 1; } |
1473 | 1473 |
|
1474 | 1474 |
/// \brief Executes the algorithm. |
1475 | 1475 |
/// |
1476 | 1476 |
/// Executes the algorithm. |
1477 | 1477 |
/// |
1478 | 1478 |
/// This method runs the %DFS algorithm from the root node |
1479 | 1479 |
/// in order to compute the %DFS path to each node. |
1480 | 1480 |
/// |
1481 | 1481 |
/// The algorithm computes |
1482 | 1482 |
/// - the %DFS tree, |
1483 | 1483 |
/// - the distance of each node from the root in the %DFS tree. |
1484 | 1484 |
/// |
1485 | 1485 |
/// \pre init() must be called and a root node should be |
1486 | 1486 |
/// added with addSource() before using this function. |
1487 | 1487 |
/// |
1488 | 1488 |
/// \note <tt>d.start()</tt> is just a shortcut of the following code. |
1489 | 1489 |
/// \code |
1490 | 1490 |
/// while ( !d.emptyQueue() ) { |
1491 | 1491 |
/// d.processNextArc(); |
1492 | 1492 |
/// } |
1493 | 1493 |
/// \endcode |
1494 | 1494 |
void start() { |
1495 | 1495 |
while ( !emptyQueue() ) processNextArc(); |
1496 | 1496 |
} |
1497 | 1497 |
|
1498 | 1498 |
/// \brief Executes the algorithm until the given target node is reached. |
1499 | 1499 |
/// |
1500 | 1500 |
/// Executes the algorithm until the given target node is reached. |
1501 | 1501 |
/// |
1502 | 1502 |
/// This method runs the %DFS algorithm from the root node |
1503 | 1503 |
/// in order to compute the DFS path to \c t. |
1504 | 1504 |
/// |
1505 | 1505 |
/// The algorithm computes |
1506 | 1506 |
/// - the %DFS path to \c t, |
1507 | 1507 |
/// - the distance of \c t from the root in the %DFS tree. |
1508 | 1508 |
/// |
1509 | 1509 |
/// \pre init() must be called and a root node should be added |
1510 | 1510 |
/// with addSource() before using this function. |
1511 | 1511 |
void start(Node t) { |
1512 | 1512 |
while ( !emptyQueue() && _digraph->target(_stack[_stack_head]) != t ) |
1513 | 1513 |
processNextArc(); |
1514 | 1514 |
} |
1515 | 1515 |
|
1516 | 1516 |
/// \brief Executes the algorithm until a condition is met. |
1517 | 1517 |
/// |
1518 | 1518 |
/// Executes the algorithm until a condition is met. |
1519 | 1519 |
/// |
1520 | 1520 |
/// This method runs the %DFS algorithm from the root node |
1521 | 1521 |
/// until an arc \c a with <tt>am[a]</tt> true is found. |
1522 | 1522 |
/// |
1523 | 1523 |
/// \param am A \c bool (or convertible) arc map. The algorithm |
1524 | 1524 |
/// will stop when it reaches an arc \c a with <tt>am[a]</tt> true. |
1525 | 1525 |
/// |
1526 | 1526 |
/// \return The reached arc \c a with <tt>am[a]</tt> true or |
1527 | 1527 |
/// \c INVALID if no such arc was found. |
1528 | 1528 |
/// |
1529 | 1529 |
/// \pre init() must be called and a root node should be added |
1530 | 1530 |
/// with addSource() before using this function. |
1531 | 1531 |
/// |
1532 | 1532 |
/// \warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map, |
1533 | 1533 |
/// not a node map. |
1534 | 1534 |
template <typename AM> |
1535 | 1535 |
Arc start(const AM &am) { |
1536 | 1536 |
while ( !emptyQueue() && !am[_stack[_stack_head]] ) |
1537 | 1537 |
processNextArc(); |
1538 | 1538 |
return emptyQueue() ? INVALID : _stack[_stack_head]; |
1539 | 1539 |
} |
1540 | 1540 |
|
1541 | 1541 |
/// \brief Runs the algorithm from the given source node. |
1542 | 1542 |
/// |
1543 | 1543 |
/// This method runs the %DFS algorithm from node \c s. |
1544 | 1544 |
/// in order to compute the DFS path to each node. |
1545 | 1545 |
/// |
1546 | 1546 |
/// The algorithm computes |
1547 | 1547 |
/// - the %DFS tree, |
1548 | 1548 |
/// - the distance of each node from the root in the %DFS tree. |
1549 | 1549 |
/// |
1550 | 1550 |
/// \note <tt>d.run(s)</tt> is just a shortcut of the following code. |
1551 | 1551 |
///\code |
1552 | 1552 |
/// d.init(); |
1553 | 1553 |
/// d.addSource(s); |
1554 | 1554 |
/// d.start(); |
1555 | 1555 |
///\endcode |
1556 | 1556 |
void run(Node s) { |
1557 | 1557 |
init(); |
1558 | 1558 |
addSource(s); |
1559 | 1559 |
start(); |
1560 | 1560 |
} |
1561 | 1561 |
|
1562 | 1562 |
/// \brief Finds the %DFS path between \c s and \c t. |
1563 | 1563 |
|
1564 | 1564 |
/// This method runs the %DFS algorithm from node \c s |
1565 | 1565 |
/// in order to compute the DFS path to node \c t |
1566 | 1566 |
/// (it stops searching when \c t is processed). |
1567 | 1567 |
/// |
1568 | 1568 |
/// \return \c true if \c t is reachable form \c s. |
1569 | 1569 |
/// |
1570 | 1570 |
/// \note Apart from the return value, <tt>d.run(s,t)</tt> is |
1571 | 1571 |
/// just a shortcut of the following code. |
1572 | 1572 |
///\code |
1573 | 1573 |
/// d.init(); |
1574 | 1574 |
/// d.addSource(s); |
1575 | 1575 |
/// d.start(t); |
1576 | 1576 |
///\endcode |
1577 | 1577 |
bool run(Node s,Node t) { |
1578 | 1578 |
init(); |
1579 | 1579 |
addSource(s); |
1580 | 1580 |
start(t); |
1581 | 1581 |
return reached(t); |
1582 | 1582 |
} |
1583 | 1583 |
|
1584 | 1584 |
/// \brief Runs the algorithm to visit all nodes in the digraph. |
1585 | 1585 |
|
1586 | 1586 |
/// This method runs the %DFS algorithm in order to |
1587 | 1587 |
/// compute the %DFS path to each node. |
1588 | 1588 |
/// |
1589 | 1589 |
/// The algorithm computes |
1590 | 1590 |
/// - the %DFS tree (forest), |
1591 | 1591 |
/// - the distance of each node from the root(s) in the %DFS tree. |
1592 | 1592 |
/// |
1593 | 1593 |
/// \note <tt>d.run()</tt> is just a shortcut of the following code. |
1594 | 1594 |
///\code |
1595 | 1595 |
/// d.init(); |
1596 | 1596 |
/// for (NodeIt n(digraph); n != INVALID; ++n) { |
1597 | 1597 |
/// if (!d.reached(n)) { |
1598 | 1598 |
/// d.addSource(n); |
1599 | 1599 |
/// d.start(); |
1600 | 1600 |
/// } |
1601 | 1601 |
/// } |
1602 | 1602 |
///\endcode |
1603 | 1603 |
void run() { |
1604 | 1604 |
init(); |
1605 | 1605 |
for (NodeIt it(*_digraph); it != INVALID; ++it) { |
1606 | 1606 |
if (!reached(it)) { |
1607 | 1607 |
addSource(it); |
1608 | 1608 |
start(); |
1609 | 1609 |
} |
1610 | 1610 |
} |
1611 | 1611 |
} |
1612 | 1612 |
|
1613 | 1613 |
///@} |
1614 | 1614 |
|
1615 | 1615 |
/// \name Query Functions |
1616 | 1616 |
/// The results of the DFS algorithm can be obtained using these |
1617 | 1617 |
/// functions.\n |
1618 | 1618 |
/// Either \ref run(Node) "run()" or \ref start() should be called |
1619 | 1619 |
/// before using them. |
1620 | 1620 |
|
1621 | 1621 |
///@{ |
1622 | 1622 |
|
1623 | 1623 |
/// \brief Checks if a node is reached from the root(s). |
1624 | 1624 |
/// |
1625 | 1625 |
/// Returns \c true if \c v is reached from the root(s). |
1626 | 1626 |
/// |
1627 | 1627 |
/// \pre Either \ref run(Node) "run()" or \ref init() |
1628 | 1628 |
/// must be called before using this function. |
1629 | 1629 |
bool reached(Node v) const { return (*_reached)[v]; } |
1630 | 1630 |
|
1631 | 1631 |
///@} |
1632 | 1632 |
|
1633 | 1633 |
}; |
1634 | 1634 |
|
1635 | 1635 |
} //END OF NAMESPACE LEMON |
1636 | 1636 |
|
1637 | 1637 |
#endif |
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) 2003-2009 |
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_DIJKSTRA_H |
20 | 20 |
#define LEMON_DIJKSTRA_H |
21 | 21 |
|
22 | 22 |
///\ingroup shortest_path |
23 | 23 |
///\file |
24 | 24 |
///\brief Dijkstra algorithm. |
25 | 25 |
|
26 | 26 |
#include <limits> |
27 | 27 |
#include <lemon/list_graph.h> |
28 | 28 |
#include <lemon/bin_heap.h> |
29 | 29 |
#include <lemon/bits/path_dump.h> |
30 | 30 |
#include <lemon/core.h> |
31 | 31 |
#include <lemon/error.h> |
32 | 32 |
#include <lemon/maps.h> |
33 | 33 |
#include <lemon/path.h> |
34 | 34 |
|
35 | 35 |
namespace lemon { |
36 | 36 |
|
37 | 37 |
/// \brief Default operation traits for the Dijkstra algorithm class. |
38 | 38 |
/// |
39 | 39 |
/// This operation traits class defines all computational operations and |
40 | 40 |
/// constants which are used in the Dijkstra algorithm. |
41 | 41 |
template <typename Value> |
42 | 42 |
struct DijkstraDefaultOperationTraits { |
43 | 43 |
/// \brief Gives back the zero value of the type. |
44 | 44 |
static Value zero() { |
45 | 45 |
return static_cast<Value>(0); |
46 | 46 |
} |
47 | 47 |
/// \brief Gives back the sum of the given two elements. |
48 | 48 |
static Value plus(const Value& left, const Value& right) { |
49 | 49 |
return left + right; |
50 | 50 |
} |
51 | 51 |
/// \brief Gives back true only if the first value is less than the second. |
52 | 52 |
static bool less(const Value& left, const Value& right) { |
53 | 53 |
return left < right; |
54 | 54 |
} |
55 | 55 |
}; |
56 | 56 |
|
57 | 57 |
///Default traits class of Dijkstra class. |
58 | 58 |
|
59 | 59 |
///Default traits class of Dijkstra class. |
60 | 60 |
///\tparam GR The type of the digraph. |
61 | 61 |
///\tparam LM The type of the length map. |
62 | 62 |
template<class GR, class LM> |
63 | 63 |
struct DijkstraDefaultTraits |
64 | 64 |
{ |
65 | 65 |
///The type of the digraph the algorithm runs on. |
66 | 66 |
typedef GR Digraph; |
67 | 67 |
|
68 | 68 |
///The type of the map that stores the arc lengths. |
69 | 69 |
|
70 | 70 |
///The type of the map that stores the arc lengths. |
71 | 71 |
///It must meet the \ref concepts::ReadMap "ReadMap" concept. |
72 | 72 |
typedef LM LengthMap; |
73 | 73 |
///The type of the length of the arcs. |
74 | 74 |
typedef typename LM::Value Value; |
75 | 75 |
|
76 |
/// Operation traits for Dijkstra algorithm. |
|
76 |
/// Operation traits for %Dijkstra algorithm. |
|
77 | 77 |
|
78 | 78 |
/// This class defines the operations that are used in the algorithm. |
79 | 79 |
/// \see DijkstraDefaultOperationTraits |
80 | 80 |
typedef DijkstraDefaultOperationTraits<Value> OperationTraits; |
81 | 81 |
|
82 | 82 |
/// The cross reference type used by the heap. |
83 | 83 |
|
84 | 84 |
/// The cross reference type used by the heap. |
85 | 85 |
/// Usually it is \c Digraph::NodeMap<int>. |
86 | 86 |
typedef typename Digraph::template NodeMap<int> HeapCrossRef; |
87 |
///Instantiates a \ |
|
87 |
///Instantiates a \c HeapCrossRef. |
|
88 | 88 |
|
89 | 89 |
///This function instantiates a \ref HeapCrossRef. |
90 | 90 |
/// \param g is the digraph, to which we would like to define the |
91 | 91 |
/// \ref HeapCrossRef. |
92 | 92 |
static HeapCrossRef *createHeapCrossRef(const Digraph &g) |
93 | 93 |
{ |
94 | 94 |
return new HeapCrossRef(g); |
95 | 95 |
} |
96 | 96 |
|
97 |
///The heap type used by the Dijkstra algorithm. |
|
97 |
///The heap type used by the %Dijkstra algorithm. |
|
98 | 98 |
|
99 | 99 |
///The heap type used by the Dijkstra algorithm. |
100 | 100 |
/// |
101 | 101 |
///\sa BinHeap |
102 | 102 |
///\sa Dijkstra |
103 | 103 |
typedef BinHeap<typename LM::Value, HeapCrossRef, std::less<Value> > Heap; |
104 |
///Instantiates a \ |
|
104 |
///Instantiates a \c Heap. |
|
105 | 105 |
|
106 | 106 |
///This function instantiates a \ref Heap. |
107 | 107 |
static Heap *createHeap(HeapCrossRef& r) |
108 | 108 |
{ |
109 | 109 |
return new Heap(r); |
110 | 110 |
} |
111 | 111 |
|
112 | 112 |
///\brief The type of the map that stores the predecessor |
113 | 113 |
///arcs of the shortest paths. |
114 | 114 |
/// |
115 | 115 |
///The type of the map that stores the predecessor |
116 | 116 |
///arcs of the shortest paths. |
117 | 117 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
118 | 118 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
119 |
///Instantiates a PredMap. |
|
119 |
///Instantiates a \c PredMap. |
|
120 | 120 |
|
121 |
///This function instantiates a PredMap. |
|
121 |
///This function instantiates a \ref PredMap. |
|
122 | 122 |
///\param g is the digraph, to which we would like to define the |
123 |
///PredMap. |
|
123 |
///\ref PredMap. |
|
124 | 124 |
static PredMap *createPredMap(const Digraph &g) |
125 | 125 |
{ |
126 | 126 |
return new PredMap(g); |
127 | 127 |
} |
128 | 128 |
|
129 | 129 |
///The type of the map that indicates which nodes are processed. |
130 | 130 |
|
131 | 131 |
///The type of the map that indicates which nodes are processed. |
132 | 132 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
133 | 133 |
///By default it is a NullMap. |
134 | 134 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
135 |
///Instantiates a ProcessedMap. |
|
135 |
///Instantiates a \c ProcessedMap. |
|
136 | 136 |
|
137 |
///This function instantiates a ProcessedMap. |
|
137 |
///This function instantiates a \ref ProcessedMap. |
|
138 | 138 |
///\param g is the digraph, to which |
139 |
///we would like to define the ProcessedMap |
|
139 |
///we would like to define the \ref ProcessedMap. |
|
140 | 140 |
#ifdef DOXYGEN |
141 | 141 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
142 | 142 |
#else |
143 | 143 |
static ProcessedMap *createProcessedMap(const Digraph &) |
144 | 144 |
#endif |
145 | 145 |
{ |
146 | 146 |
return new ProcessedMap(); |
147 | 147 |
} |
148 | 148 |
|
149 | 149 |
///The type of the map that stores the distances of the nodes. |
150 | 150 |
|
151 | 151 |
///The type of the map that stores the distances of the nodes. |
152 | 152 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
153 | 153 |
typedef typename Digraph::template NodeMap<typename LM::Value> DistMap; |
154 |
///Instantiates a DistMap. |
|
154 |
///Instantiates a \c DistMap. |
|
155 | 155 |
|
156 |
///This function instantiates a DistMap. |
|
156 |
///This function instantiates a \ref DistMap. |
|
157 | 157 |
///\param g is the digraph, to which we would like to define |
158 |
///the DistMap |
|
158 |
///the \ref DistMap. |
|
159 | 159 |
static DistMap *createDistMap(const Digraph &g) |
160 | 160 |
{ |
161 | 161 |
return new DistMap(g); |
162 | 162 |
} |
163 | 163 |
}; |
164 | 164 |
|
165 | 165 |
///%Dijkstra algorithm class. |
166 | 166 |
|
167 | 167 |
/// \ingroup shortest_path |
168 | 168 |
///This class provides an efficient implementation of the %Dijkstra algorithm. |
169 | 169 |
/// |
170 | 170 |
///The arc lengths are passed to the algorithm using a |
171 | 171 |
///\ref concepts::ReadMap "ReadMap", |
172 | 172 |
///so it is easy to change it to any kind of length. |
173 | 173 |
///The type of the length is determined by the |
174 | 174 |
///\ref concepts::ReadMap::Value "Value" of the length map. |
175 | 175 |
///It is also possible to change the underlying priority heap. |
176 | 176 |
/// |
177 | 177 |
///There is also a \ref dijkstra() "function-type interface" for the |
178 | 178 |
///%Dijkstra algorithm, which is convenient in the simplier cases and |
179 | 179 |
///it can be used easier. |
180 | 180 |
/// |
181 | 181 |
///\tparam GR The type of the digraph the algorithm runs on. |
182 | 182 |
///The default type is \ref ListDigraph. |
183 | 183 |
///\tparam LM A \ref concepts::ReadMap "readable" arc map that specifies |
184 | 184 |
///the lengths of the arcs. |
185 | 185 |
///It is read once for each arc, so the map may involve in |
186 | 186 |
///relatively time consuming process to compute the arc lengths if |
187 | 187 |
///it is necessary. The default map type is \ref |
188 | 188 |
///concepts::Digraph::ArcMap "GR::ArcMap<int>". |
189 | 189 |
#ifdef DOXYGEN |
190 | 190 |
template <typename GR, typename LM, typename TR> |
191 | 191 |
#else |
192 | 192 |
template <typename GR=ListDigraph, |
193 | 193 |
typename LM=typename GR::template ArcMap<int>, |
194 | 194 |
typename TR=DijkstraDefaultTraits<GR,LM> > |
195 | 195 |
#endif |
196 | 196 |
class Dijkstra { |
197 | 197 |
public: |
198 | 198 |
|
199 | 199 |
///The type of the digraph the algorithm runs on. |
200 | 200 |
typedef typename TR::Digraph Digraph; |
201 | 201 |
|
202 | 202 |
///The type of the length of the arcs. |
203 | 203 |
typedef typename TR::LengthMap::Value Value; |
204 | 204 |
///The type of the map that stores the arc lengths. |
205 | 205 |
typedef typename TR::LengthMap LengthMap; |
206 | 206 |
///\brief The type of the map that stores the predecessor arcs of the |
207 | 207 |
///shortest paths. |
208 | 208 |
typedef typename TR::PredMap PredMap; |
209 | 209 |
///The type of the map that stores the distances of the nodes. |
210 | 210 |
typedef typename TR::DistMap DistMap; |
211 | 211 |
///The type of the map that indicates which nodes are processed. |
212 | 212 |
typedef typename TR::ProcessedMap ProcessedMap; |
213 | 213 |
///The type of the paths. |
214 | 214 |
typedef PredMapPath<Digraph, PredMap> Path; |
215 | 215 |
///The cross reference type used for the current heap. |
216 | 216 |
typedef typename TR::HeapCrossRef HeapCrossRef; |
217 | 217 |
///The heap type used by the algorithm. |
218 | 218 |
typedef typename TR::Heap Heap; |
219 |
///The operation traits class |
|
219 |
///\brief The \ref DijkstraDefaultOperationTraits "operation traits class" |
|
220 |
///of the algorithm. |
|
220 | 221 |
typedef typename TR::OperationTraits OperationTraits; |
221 | 222 |
|
222 | 223 |
///The \ref DijkstraDefaultTraits "traits class" of the algorithm. |
223 | 224 |
typedef TR Traits; |
224 | 225 |
|
225 | 226 |
private: |
226 | 227 |
|
227 | 228 |
typedef typename Digraph::Node Node; |
228 | 229 |
typedef typename Digraph::NodeIt NodeIt; |
229 | 230 |
typedef typename Digraph::Arc Arc; |
230 | 231 |
typedef typename Digraph::OutArcIt OutArcIt; |
231 | 232 |
|
232 | 233 |
//Pointer to the underlying digraph. |
233 | 234 |
const Digraph *G; |
234 | 235 |
//Pointer to the length map. |
235 |
const LengthMap * |
|
236 |
const LengthMap *_length; |
|
236 | 237 |
//Pointer to the map of predecessors arcs. |
237 | 238 |
PredMap *_pred; |
238 | 239 |
//Indicates if _pred is locally allocated (true) or not. |
239 | 240 |
bool local_pred; |
240 | 241 |
//Pointer to the map of distances. |
241 | 242 |
DistMap *_dist; |
242 | 243 |
//Indicates if _dist is locally allocated (true) or not. |
243 | 244 |
bool local_dist; |
244 | 245 |
//Pointer to the map of processed status of the nodes. |
245 | 246 |
ProcessedMap *_processed; |
246 | 247 |
//Indicates if _processed is locally allocated (true) or not. |
247 | 248 |
bool local_processed; |
248 | 249 |
//Pointer to the heap cross references. |
249 | 250 |
HeapCrossRef *_heap_cross_ref; |
250 | 251 |
//Indicates if _heap_cross_ref is locally allocated (true) or not. |
251 | 252 |
bool local_heap_cross_ref; |
252 | 253 |
//Pointer to the heap. |
253 | 254 |
Heap *_heap; |
254 | 255 |
//Indicates if _heap is locally allocated (true) or not. |
255 | 256 |
bool local_heap; |
256 | 257 |
|
257 | 258 |
//Creates the maps if necessary. |
258 | 259 |
void create_maps() |
259 | 260 |
{ |
260 | 261 |
if(!_pred) { |
261 | 262 |
local_pred = true; |
262 | 263 |
_pred = Traits::createPredMap(*G); |
263 | 264 |
} |
264 | 265 |
if(!_dist) { |
265 | 266 |
local_dist = true; |
266 | 267 |
_dist = Traits::createDistMap(*G); |
267 | 268 |
} |
268 | 269 |
if(!_processed) { |
269 | 270 |
local_processed = true; |
270 | 271 |
_processed = Traits::createProcessedMap(*G); |
271 | 272 |
} |
272 | 273 |
if (!_heap_cross_ref) { |
273 | 274 |
local_heap_cross_ref = true; |
274 | 275 |
_heap_cross_ref = Traits::createHeapCrossRef(*G); |
275 | 276 |
} |
276 | 277 |
if (!_heap) { |
277 | 278 |
local_heap = true; |
278 | 279 |
_heap = Traits::createHeap(*_heap_cross_ref); |
279 | 280 |
} |
280 | 281 |
} |
281 | 282 |
|
282 | 283 |
public: |
283 | 284 |
|
284 | 285 |
typedef Dijkstra Create; |
285 | 286 |
|
286 | 287 |
///\name Named template parameters |
287 | 288 |
|
288 | 289 |
///@{ |
289 | 290 |
|
290 | 291 |
template <class T> |
291 | 292 |
struct SetPredMapTraits : public Traits { |
292 | 293 |
typedef T PredMap; |
293 | 294 |
static PredMap *createPredMap(const Digraph &) |
294 | 295 |
{ |
295 | 296 |
LEMON_ASSERT(false, "PredMap is not initialized"); |
296 | 297 |
return 0; // ignore warnings |
297 | 298 |
} |
298 | 299 |
}; |
299 | 300 |
///\brief \ref named-templ-param "Named parameter" for setting |
300 |
///PredMap type. |
|
301 |
///\c PredMap type. |
|
301 | 302 |
/// |
302 | 303 |
///\ref named-templ-param "Named parameter" for setting |
303 |
///PredMap type. |
|
304 |
///\c PredMap type. |
|
304 | 305 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
305 | 306 |
template <class T> |
306 | 307 |
struct SetPredMap |
307 | 308 |
: public Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > { |
308 | 309 |
typedef Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > Create; |
309 | 310 |
}; |
310 | 311 |
|
311 | 312 |
template <class T> |
312 | 313 |
struct SetDistMapTraits : public Traits { |
313 | 314 |
typedef T DistMap; |
314 | 315 |
static DistMap *createDistMap(const Digraph &) |
315 | 316 |
{ |
316 | 317 |
LEMON_ASSERT(false, "DistMap is not initialized"); |
317 | 318 |
return 0; // ignore warnings |
318 | 319 |
} |
319 | 320 |
}; |
320 | 321 |
///\brief \ref named-templ-param "Named parameter" for setting |
321 |
///DistMap type. |
|
322 |
///\c DistMap type. |
|
322 | 323 |
/// |
323 | 324 |
///\ref named-templ-param "Named parameter" for setting |
324 |
///DistMap type. |
|
325 |
///\c DistMap type. |
|
325 | 326 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
326 | 327 |
template <class T> |
327 | 328 |
struct SetDistMap |
328 | 329 |
: public Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > { |
329 | 330 |
typedef Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > Create; |
330 | 331 |
}; |
331 | 332 |
|
332 | 333 |
template <class T> |
333 | 334 |
struct SetProcessedMapTraits : public Traits { |
334 | 335 |
typedef T ProcessedMap; |
335 | 336 |
static ProcessedMap *createProcessedMap(const Digraph &) |
336 | 337 |
{ |
337 | 338 |
LEMON_ASSERT(false, "ProcessedMap is not initialized"); |
338 | 339 |
return 0; // ignore warnings |
339 | 340 |
} |
340 | 341 |
}; |
341 | 342 |
///\brief \ref named-templ-param "Named parameter" for setting |
342 |
///ProcessedMap type. |
|
343 |
///\c ProcessedMap type. |
|
343 | 344 |
/// |
344 | 345 |
///\ref named-templ-param "Named parameter" for setting |
345 |
///ProcessedMap type. |
|
346 |
///\c ProcessedMap type. |
|
346 | 347 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
347 | 348 |
template <class T> |
348 | 349 |
struct SetProcessedMap |
349 | 350 |
: public Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > { |
350 | 351 |
typedef Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > Create; |
351 | 352 |
}; |
352 | 353 |
|
353 | 354 |
struct SetStandardProcessedMapTraits : public Traits { |
354 | 355 |
typedef typename Digraph::template NodeMap<bool> ProcessedMap; |
355 | 356 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
356 | 357 |
{ |
357 | 358 |
return new ProcessedMap(g); |
358 | 359 |
} |
359 | 360 |
}; |
360 | 361 |
///\brief \ref named-templ-param "Named parameter" for setting |
361 |
///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
362 |
///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
362 | 363 |
/// |
363 | 364 |
///\ref named-templ-param "Named parameter" for setting |
364 |
///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
365 |
///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>. |
|
365 | 366 |
///If you don't set it explicitly, it will be automatically allocated. |
366 | 367 |
struct SetStandardProcessedMap |
367 | 368 |
: public Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits > { |
368 | 369 |
typedef Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits > |
369 | 370 |
Create; |
370 | 371 |
}; |
371 | 372 |
|
372 | 373 |
template <class H, class CR> |
373 | 374 |
struct SetHeapTraits : public Traits { |
374 | 375 |
typedef CR HeapCrossRef; |
375 | 376 |
typedef H Heap; |
376 | 377 |
static HeapCrossRef *createHeapCrossRef(const Digraph &) { |
377 | 378 |
LEMON_ASSERT(false, "HeapCrossRef is not initialized"); |
378 | 379 |
return 0; // ignore warnings |
379 | 380 |
} |
380 | 381 |
static Heap *createHeap(HeapCrossRef &) |
381 | 382 |
{ |
382 | 383 |
LEMON_ASSERT(false, "Heap is not initialized"); |
383 | 384 |
return 0; // ignore warnings |
384 | 385 |
} |
385 | 386 |
}; |
386 | 387 |
///\brief \ref named-templ-param "Named parameter" for setting |
387 | 388 |
///heap and cross reference types |
388 | 389 |
/// |
389 | 390 |
///\ref named-templ-param "Named parameter" for setting heap and cross |
390 | 391 |
///reference types. If this named parameter is used, then external |
391 | 392 |
///heap and cross reference objects must be passed to the algorithm |
392 | 393 |
///using the \ref heap() function before calling \ref run(Node) "run()" |
393 | 394 |
///or \ref init(). |
394 | 395 |
///\sa SetStandardHeap |
395 | 396 |
template <class H, class CR = typename Digraph::template NodeMap<int> > |
396 | 397 |
struct SetHeap |
397 | 398 |
: public Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > { |
398 | 399 |
typedef Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > Create; |
399 | 400 |
}; |
400 | 401 |
|
401 | 402 |
template <class H, class CR> |
402 | 403 |
struct SetStandardHeapTraits : public Traits { |
403 | 404 |
typedef CR HeapCrossRef; |
404 | 405 |
typedef H Heap; |
405 | 406 |
static HeapCrossRef *createHeapCrossRef(const Digraph &G) { |
406 | 407 |
return new HeapCrossRef(G); |
407 | 408 |
} |
408 | 409 |
static Heap *createHeap(HeapCrossRef &R) |
409 | 410 |
{ |
410 | 411 |
return new Heap(R); |
411 | 412 |
} |
412 | 413 |
}; |
413 | 414 |
///\brief \ref named-templ-param "Named parameter" for setting |
414 | 415 |
///heap and cross reference types with automatic allocation |
415 | 416 |
/// |
416 | 417 |
///\ref named-templ-param "Named parameter" for setting heap and cross |
417 | 418 |
///reference types with automatic allocation. |
418 | 419 |
///They should have standard constructor interfaces to be able to |
419 | 420 |
///automatically created by the algorithm (i.e. the digraph should be |
420 | 421 |
///passed to the constructor of the cross reference and the cross |
421 | 422 |
///reference should be passed to the constructor of the heap). |
422 | 423 |
///However external heap and cross reference objects could also be |
423 | 424 |
///passed to the algorithm using the \ref heap() function before |
424 | 425 |
///calling \ref run(Node) "run()" or \ref init(). |
425 | 426 |
///\sa SetHeap |
426 | 427 |
template <class H, class CR = typename Digraph::template NodeMap<int> > |
427 | 428 |
struct SetStandardHeap |
428 | 429 |
: public Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > { |
429 | 430 |
typedef Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > |
430 | 431 |
Create; |
431 | 432 |
}; |
432 | 433 |
|
433 | 434 |
template <class T> |
434 | 435 |
struct SetOperationTraitsTraits : public Traits { |
435 | 436 |
typedef T OperationTraits; |
436 | 437 |
}; |
437 | 438 |
|
438 | 439 |
/// \brief \ref named-templ-param "Named parameter" for setting |
439 | 440 |
///\c OperationTraits type |
440 | 441 |
/// |
441 | 442 |
///\ref named-templ-param "Named parameter" for setting |
442 |
///\ |
|
443 |
///\c OperationTraits type. |
|
443 | 444 |
template <class T> |
444 | 445 |
struct SetOperationTraits |
445 | 446 |
: public Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > { |
446 | 447 |
typedef Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > |
447 | 448 |
Create; |
448 | 449 |
}; |
449 | 450 |
|
450 | 451 |
///@} |
451 | 452 |
|
452 | 453 |
protected: |
453 | 454 |
|
454 | 455 |
Dijkstra() {} |
455 | 456 |
|
456 | 457 |
public: |
457 | 458 |
|
458 | 459 |
///Constructor. |
459 | 460 |
|
460 | 461 |
///Constructor. |
461 |
///\param _g The digraph the algorithm runs on. |
|
462 |
///\param _length The length map used by the algorithm. |
|
463 |
Dijkstra(const Digraph& _g, const LengthMap& _length) : |
|
464 |
G(&_g), length(&_length), |
|
462 |
///\param g The digraph the algorithm runs on. |
|
463 |
///\param length The length map used by the algorithm. |
|
464 |
Dijkstra(const Digraph& g, const LengthMap& length) : |
|
465 |
G(&g), _length(&length), |
|
465 | 466 |
_pred(NULL), local_pred(false), |
466 | 467 |
_dist(NULL), local_dist(false), |
467 | 468 |
_processed(NULL), local_processed(false), |
468 | 469 |
_heap_cross_ref(NULL), local_heap_cross_ref(false), |
469 | 470 |
_heap(NULL), local_heap(false) |
470 | 471 |
{ } |
471 | 472 |
|
472 | 473 |
///Destructor. |
473 | 474 |
~Dijkstra() |
474 | 475 |
{ |
475 | 476 |
if(local_pred) delete _pred; |
476 | 477 |
if(local_dist) delete _dist; |
477 | 478 |
if(local_processed) delete _processed; |
478 | 479 |
if(local_heap_cross_ref) delete _heap_cross_ref; |
479 | 480 |
if(local_heap) delete _heap; |
480 | 481 |
} |
481 | 482 |
|
482 | 483 |
///Sets the length map. |
483 | 484 |
|
484 | 485 |
///Sets the length map. |
485 | 486 |
///\return <tt> (*this) </tt> |
486 | 487 |
Dijkstra &lengthMap(const LengthMap &m) |
487 | 488 |
{ |
488 |
|
|
489 |
_length = &m; |
|
489 | 490 |
return *this; |
490 | 491 |
} |
491 | 492 |
|
492 | 493 |
///Sets the map that stores the predecessor arcs. |
493 | 494 |
|
494 | 495 |
///Sets the map that stores the predecessor arcs. |
495 | 496 |
///If you don't use this function before calling \ref run(Node) "run()" |
496 | 497 |
///or \ref init(), an instance will be allocated automatically. |
497 | 498 |
///The destructor deallocates this automatically allocated map, |
498 | 499 |
///of course. |
499 | 500 |
///\return <tt> (*this) </tt> |
500 | 501 |
Dijkstra &predMap(PredMap &m) |
501 | 502 |
{ |
502 | 503 |
if(local_pred) { |
503 | 504 |
delete _pred; |
504 | 505 |
local_pred=false; |
505 | 506 |
} |
506 | 507 |
_pred = &m; |
507 | 508 |
return *this; |
508 | 509 |
} |
509 | 510 |
|
510 | 511 |
///Sets the map that indicates which nodes are processed. |
511 | 512 |
|
512 | 513 |
///Sets the map that indicates which nodes are processed. |
513 | 514 |
///If you don't use this function before calling \ref run(Node) "run()" |
514 | 515 |
///or \ref init(), an instance will be allocated automatically. |
515 | 516 |
///The destructor deallocates this automatically allocated map, |
516 | 517 |
///of course. |
517 | 518 |
///\return <tt> (*this) </tt> |
518 | 519 |
Dijkstra &processedMap(ProcessedMap &m) |
519 | 520 |
{ |
520 | 521 |
if(local_processed) { |
521 | 522 |
delete _processed; |
522 | 523 |
local_processed=false; |
523 | 524 |
} |
524 | 525 |
_processed = &m; |
525 | 526 |
return *this; |
526 | 527 |
} |
527 | 528 |
|
528 | 529 |
///Sets the map that stores the distances of the nodes. |
529 | 530 |
|
530 | 531 |
///Sets the map that stores the distances of the nodes calculated by the |
531 | 532 |
///algorithm. |
532 | 533 |
///If you don't use this function before calling \ref run(Node) "run()" |
533 | 534 |
///or \ref init(), an instance will be allocated automatically. |
534 | 535 |
///The destructor deallocates this automatically allocated map, |
535 | 536 |
///of course. |
536 | 537 |
///\return <tt> (*this) </tt> |
537 | 538 |
Dijkstra &distMap(DistMap &m) |
538 | 539 |
{ |
539 | 540 |
if(local_dist) { |
540 | 541 |
delete _dist; |
541 | 542 |
local_dist=false; |
542 | 543 |
} |
543 | 544 |
_dist = &m; |
544 | 545 |
return *this; |
545 | 546 |
} |
546 | 547 |
|
547 | 548 |
///Sets the heap and the cross reference used by algorithm. |
548 | 549 |
|
549 | 550 |
///Sets the heap and the cross reference used by algorithm. |
550 | 551 |
///If you don't use this function before calling \ref run(Node) "run()" |
551 | 552 |
///or \ref init(), heap and cross reference instances will be |
552 | 553 |
///allocated automatically. |
553 | 554 |
///The destructor deallocates these automatically allocated objects, |
554 | 555 |
///of course. |
555 | 556 |
///\return <tt> (*this) </tt> |
556 | 557 |
Dijkstra &heap(Heap& hp, HeapCrossRef &cr) |
557 | 558 |
{ |
558 | 559 |
if(local_heap_cross_ref) { |
559 | 560 |
delete _heap_cross_ref; |
560 | 561 |
local_heap_cross_ref=false; |
561 | 562 |
} |
562 | 563 |
_heap_cross_ref = &cr; |
563 | 564 |
if(local_heap) { |
564 | 565 |
delete _heap; |
565 | 566 |
local_heap=false; |
566 | 567 |
} |
567 | 568 |
_heap = &hp; |
568 | 569 |
return *this; |
569 | 570 |
} |
570 | 571 |
|
571 | 572 |
private: |
572 | 573 |
|
573 | 574 |
void finalizeNodeData(Node v,Value dst) |
574 | 575 |
{ |
575 | 576 |
_processed->set(v,true); |
576 | 577 |
_dist->set(v, dst); |
577 | 578 |
} |
578 | 579 |
|
579 | 580 |
public: |
580 | 581 |
|
581 | 582 |
///\name Execution Control |
582 | 583 |
///The simplest way to execute the %Dijkstra algorithm is to use |
583 | 584 |
///one of the member functions called \ref run(Node) "run()".\n |
584 | 585 |
///If you need more control on the execution, first you have to call |
585 | 586 |
///\ref init(), then you can add several source nodes with |
586 | 587 |
///\ref addSource(). Finally the actual path computation can be |
587 | 588 |
///performed with one of the \ref start() functions. |
588 | 589 |
|
589 | 590 |
///@{ |
590 | 591 |
|
591 | 592 |
///\brief Initializes the internal data structures. |
592 | 593 |
/// |
593 | 594 |
///Initializes the internal data structures. |
594 | 595 |
void init() |
595 | 596 |
{ |
596 | 597 |
create_maps(); |
597 | 598 |
_heap->clear(); |
598 | 599 |
for ( NodeIt u(*G) ; u!=INVALID ; ++u ) { |
599 | 600 |
_pred->set(u,INVALID); |
600 | 601 |
_processed->set(u,false); |
601 | 602 |
_heap_cross_ref->set(u,Heap::PRE_HEAP); |
602 | 603 |
} |
603 | 604 |
} |
604 | 605 |
|
605 | 606 |
///Adds a new source node. |
606 | 607 |
|
607 | 608 |
///Adds a new source node to the priority heap. |
608 | 609 |
///The optional second parameter is the initial distance of the node. |
609 | 610 |
/// |
610 | 611 |
///The function checks if the node has already been added to the heap and |
611 | 612 |
///it is pushed to the heap only if either it was not in the heap |
612 | 613 |
///or the shortest path found till then is shorter than \c dst. |
613 | 614 |
void addSource(Node s,Value dst=OperationTraits::zero()) |
614 | 615 |
{ |
615 | 616 |
if(_heap->state(s) != Heap::IN_HEAP) { |
616 | 617 |
_heap->push(s,dst); |
617 | 618 |
} else if(OperationTraits::less((*_heap)[s], dst)) { |
618 | 619 |
_heap->set(s,dst); |
619 | 620 |
_pred->set(s,INVALID); |
620 | 621 |
} |
621 | 622 |
} |
622 | 623 |
|
623 | 624 |
///Processes the next node in the priority heap |
624 | 625 |
|
625 | 626 |
///Processes the next node in the priority heap. |
626 | 627 |
/// |
627 | 628 |
///\return The processed node. |
628 | 629 |
/// |
629 | 630 |
///\warning The priority heap must not be empty. |
630 | 631 |
Node processNextNode() |
631 | 632 |
{ |
632 | 633 |
Node v=_heap->top(); |
633 | 634 |
Value oldvalue=_heap->prio(); |
634 | 635 |
_heap->pop(); |
635 | 636 |
finalizeNodeData(v,oldvalue); |
636 | 637 |
|
637 | 638 |
for(OutArcIt e(*G,v); e!=INVALID; ++e) { |
638 | 639 |
Node w=G->target(e); |
639 | 640 |
switch(_heap->state(w)) { |
640 | 641 |
case Heap::PRE_HEAP: |
641 |
_heap->push(w,OperationTraits::plus(oldvalue, (* |
|
642 |
_heap->push(w,OperationTraits::plus(oldvalue, (*_length)[e])); |
|
642 | 643 |
_pred->set(w,e); |
643 | 644 |
break; |
644 | 645 |
case Heap::IN_HEAP: |
645 | 646 |
{ |
646 |
Value newvalue = OperationTraits::plus(oldvalue, (* |
|
647 |
Value newvalue = OperationTraits::plus(oldvalue, (*_length)[e]); |
|
647 | 648 |
if ( OperationTraits::less(newvalue, (*_heap)[w]) ) { |
648 | 649 |
_heap->decrease(w, newvalue); |
649 | 650 |
_pred->set(w,e); |
650 | 651 |
} |
651 | 652 |
} |
652 | 653 |
break; |
653 | 654 |
case Heap::POST_HEAP: |
654 | 655 |
break; |
655 | 656 |
} |
656 | 657 |
} |
657 | 658 |
return v; |
658 | 659 |
} |
659 | 660 |
|
660 | 661 |
///The next node to be processed. |
661 | 662 |
|
662 | 663 |
///Returns the next node to be processed or \c INVALID if the |
663 | 664 |
///priority heap is empty. |
664 | 665 |
Node nextNode() const |
665 | 666 |
{ |
666 | 667 |
return !_heap->empty()?_heap->top():INVALID; |
667 | 668 |
} |
668 | 669 |
|
669 | 670 |
///Returns \c false if there are nodes to be processed. |
670 | 671 |
|
671 | 672 |
///Returns \c false if there are nodes to be processed |
672 | 673 |
///in the priority heap. |
673 | 674 |
bool emptyQueue() const { return _heap->empty(); } |
674 | 675 |
|
675 | 676 |
///Returns the number of the nodes to be processed. |
676 | 677 |
|
677 | 678 |
///Returns the number of the nodes to be processed |
678 | 679 |
///in the priority heap. |
679 | 680 |
int queueSize() const { return _heap->size(); } |
680 | 681 |
|
681 | 682 |
///Executes the algorithm. |
682 | 683 |
|
683 | 684 |
///Executes the algorithm. |
684 | 685 |
/// |
685 | 686 |
///This method runs the %Dijkstra algorithm from the root node(s) |
686 | 687 |
///in order to compute the shortest path to each node. |
687 | 688 |
/// |
688 | 689 |
///The algorithm computes |
689 | 690 |
///- the shortest path tree (forest), |
690 | 691 |
///- the distance of each node from the root(s). |
691 | 692 |
/// |
692 | 693 |
///\pre init() must be called and at least one root node should be |
693 | 694 |
///added with addSource() before using this function. |
694 | 695 |
/// |
695 | 696 |
///\note <tt>d.start()</tt> is just a shortcut of the following code. |
696 | 697 |
///\code |
697 | 698 |
/// while ( !d.emptyQueue() ) { |
698 | 699 |
/// d.processNextNode(); |
699 | 700 |
/// } |
700 | 701 |
///\endcode |
701 | 702 |
void start() |
702 | 703 |
{ |
703 | 704 |
while ( !emptyQueue() ) processNextNode(); |
704 | 705 |
} |
705 | 706 |
|
706 | 707 |
///Executes the algorithm until the given target node is processed. |
707 | 708 |
|
708 | 709 |
///Executes the algorithm until the given target node is processed. |
709 | 710 |
/// |
710 | 711 |
///This method runs the %Dijkstra algorithm from the root node(s) |
711 | 712 |
///in order to compute the shortest path to \c t. |
712 | 713 |
/// |
713 | 714 |
///The algorithm computes |
714 | 715 |
///- the shortest path to \c t, |
715 | 716 |
///- the distance of \c t from the root(s). |
716 | 717 |
/// |
717 | 718 |
///\pre init() must be called and at least one root node should be |
718 | 719 |
///added with addSource() before using this function. |
719 | 720 |
void start(Node t) |
720 | 721 |
{ |
721 | 722 |
while ( !_heap->empty() && _heap->top()!=t ) processNextNode(); |
722 | 723 |
if ( !_heap->empty() ) { |
723 | 724 |
finalizeNodeData(_heap->top(),_heap->prio()); |
724 | 725 |
_heap->pop(); |
725 | 726 |
} |
726 | 727 |
} |
727 | 728 |
|
728 | 729 |
///Executes the algorithm until a condition is met. |
729 | 730 |
|
730 | 731 |
///Executes the algorithm until a condition is met. |
731 | 732 |
/// |
732 | 733 |
///This method runs the %Dijkstra algorithm from the root node(s) in |
733 | 734 |
///order to compute the shortest path to a node \c v with |
734 | 735 |
/// <tt>nm[v]</tt> true, if such a node can be found. |
735 | 736 |
/// |
736 | 737 |
///\param nm A \c bool (or convertible) node map. The algorithm |
737 | 738 |
///will stop when it reaches a node \c v with <tt>nm[v]</tt> true. |
738 | 739 |
/// |
739 | 740 |
///\return The reached node \c v with <tt>nm[v]</tt> true or |
740 | 741 |
///\c INVALID if no such node was found. |
741 | 742 |
/// |
742 | 743 |
///\pre init() must be called and at least one root node should be |
743 | 744 |
///added with addSource() before using this function. |
744 | 745 |
template<class NodeBoolMap> |
745 | 746 |
Node start(const NodeBoolMap &nm) |
746 | 747 |
{ |
747 | 748 |
while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode(); |
748 | 749 |
if ( _heap->empty() ) return INVALID; |
749 | 750 |
finalizeNodeData(_heap->top(),_heap->prio()); |
750 | 751 |
return _heap->top(); |
751 | 752 |
} |
752 | 753 |
|
753 | 754 |
///Runs the algorithm from the given source node. |
754 | 755 |
|
755 | 756 |
///This method runs the %Dijkstra algorithm from node \c s |
756 | 757 |
///in order to compute the shortest path to each node. |
757 | 758 |
/// |
758 | 759 |
///The algorithm computes |
759 | 760 |
///- the shortest path tree, |
760 | 761 |
///- the distance of each node from the root. |
761 | 762 |
/// |
762 | 763 |
///\note <tt>d.run(s)</tt> is just a shortcut of the following code. |
763 | 764 |
///\code |
764 | 765 |
/// d.init(); |
765 | 766 |
/// d.addSource(s); |
766 | 767 |
/// d.start(); |
767 | 768 |
///\endcode |
768 | 769 |
void run(Node s) { |
769 | 770 |
init(); |
770 | 771 |
addSource(s); |
771 | 772 |
start(); |
772 | 773 |
} |
773 | 774 |
|
774 | 775 |
///Finds the shortest path between \c s and \c t. |
775 | 776 |
|
776 | 777 |
///This method runs the %Dijkstra algorithm from node \c s |
777 | 778 |
///in order to compute the shortest path to node \c t |
778 | 779 |
///(it stops searching when \c t is processed). |
779 | 780 |
/// |
780 | 781 |
///\return \c true if \c t is reachable form \c s. |
781 | 782 |
/// |
782 | 783 |
///\note Apart from the return value, <tt>d.run(s,t)</tt> is just a |
783 | 784 |
///shortcut of the following code. |
784 | 785 |
///\code |
785 | 786 |
/// d.init(); |
786 | 787 |
/// d.addSource(s); |
787 | 788 |
/// d.start(t); |
788 | 789 |
///\endcode |
789 | 790 |
bool run(Node s,Node t) { |
790 | 791 |
init(); |
791 | 792 |
addSource(s); |
792 | 793 |
start(t); |
793 | 794 |
return (*_heap_cross_ref)[t] == Heap::POST_HEAP; |
794 | 795 |
} |
795 | 796 |
|
796 | 797 |
///@} |
797 | 798 |
|
798 | 799 |
///\name Query Functions |
799 | 800 |
///The results of the %Dijkstra algorithm can be obtained using these |
800 | 801 |
///functions.\n |
801 | 802 |
///Either \ref run(Node) "run()" or \ref start() should be called |
802 | 803 |
///before using them. |
803 | 804 |
|
804 | 805 |
///@{ |
805 | 806 |
|
806 | 807 |
///The shortest path to a node. |
807 | 808 |
|
808 | 809 |
///Returns the shortest path to a node. |
809 | 810 |
/// |
810 | 811 |
///\warning \c t should be reached from the root(s). |
811 | 812 |
/// |
812 | 813 |
///\pre Either \ref run(Node) "run()" or \ref init() |
813 | 814 |
///must be called before using this function. |
814 | 815 |
Path path(Node t) const { return Path(*G, *_pred, t); } |
815 | 816 |
|
816 | 817 |
///The distance of a node from the root(s). |
817 | 818 |
|
818 | 819 |
///Returns the distance of a node from the root(s). |
819 | 820 |
/// |
820 | 821 |
///\warning If node \c v is not reached from the root(s), then |
821 | 822 |
///the return value of this function is undefined. |
822 | 823 |
/// |
823 | 824 |
///\pre Either \ref run(Node) "run()" or \ref init() |
824 | 825 |
///must be called before using this function. |
825 | 826 |
Value dist(Node v) const { return (*_dist)[v]; } |
826 | 827 |
|
827 | 828 |
///Returns the 'previous arc' of the shortest path tree for a node. |
828 | 829 |
|
829 | 830 |
///This function returns the 'previous arc' of the shortest path |
830 | 831 |
///tree for the node \c v, i.e. it returns the last arc of a |
831 | 832 |
///shortest path from a root to \c v. It is \c INVALID if \c v |
832 | 833 |
///is not reached from the root(s) or if \c v is a root. |
833 | 834 |
/// |
834 | 835 |
///The shortest path tree used here is equal to the shortest path |
835 | 836 |
///tree used in \ref predNode(). |
836 | 837 |
/// |
837 | 838 |
///\pre Either \ref run(Node) "run()" or \ref init() |
838 | 839 |
///must be called before using this function. |
839 | 840 |
Arc predArc(Node v) const { return (*_pred)[v]; } |
840 | 841 |
|
841 | 842 |
///Returns the 'previous node' of the shortest path tree for a node. |
842 | 843 |
|
843 | 844 |
///This function returns the 'previous node' of the shortest path |
844 | 845 |
///tree for the node \c v, i.e. it returns the last but one node |
845 | 846 |
///from a shortest path from a root to \c v. It is \c INVALID |
846 | 847 |
///if \c v is not reached from the root(s) or if \c v is a root. |
847 | 848 |
/// |
848 | 849 |
///The shortest path tree used here is equal to the shortest path |
849 | 850 |
///tree used in \ref predArc(). |
850 | 851 |
/// |
851 | 852 |
///\pre Either \ref run(Node) "run()" or \ref init() |
852 | 853 |
///must be called before using this function. |
853 | 854 |
Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID: |
854 | 855 |
G->source((*_pred)[v]); } |
855 | 856 |
|
856 | 857 |
///\brief Returns a const reference to the node map that stores the |
857 | 858 |
///distances of the nodes. |
858 | 859 |
/// |
859 | 860 |
///Returns a const reference to the node map that stores the distances |
860 | 861 |
///of the nodes calculated by the algorithm. |
861 | 862 |
/// |
862 | 863 |
///\pre Either \ref run(Node) "run()" or \ref init() |
863 | 864 |
///must be called before using this function. |
864 | 865 |
const DistMap &distMap() const { return *_dist;} |
865 | 866 |
|
866 | 867 |
///\brief Returns a const reference to the node map that stores the |
867 | 868 |
///predecessor arcs. |
868 | 869 |
/// |
869 | 870 |
///Returns a const reference to the node map that stores the predecessor |
870 | 871 |
///arcs, which form the shortest path tree. |
871 | 872 |
/// |
872 | 873 |
///\pre Either \ref run(Node) "run()" or \ref init() |
873 | 874 |
///must be called before using this function. |
874 | 875 |
const PredMap &predMap() const { return *_pred;} |
875 | 876 |
|
876 | 877 |
///Checks if a node is reached from the root(s). |
877 | 878 |
|
878 | 879 |
///Returns \c true if \c v is reached from the root(s). |
879 | 880 |
/// |
880 | 881 |
///\pre Either \ref run(Node) "run()" or \ref init() |
881 | 882 |
///must be called before using this function. |
882 | 883 |
bool reached(Node v) const { return (*_heap_cross_ref)[v] != |
883 | 884 |
Heap::PRE_HEAP; } |
884 | 885 |
|
885 | 886 |
///Checks if a node is processed. |
886 | 887 |
|
887 | 888 |
///Returns \c true if \c v is processed, i.e. the shortest |
888 | 889 |
///path to \c v has already found. |
889 | 890 |
/// |
890 | 891 |
///\pre Either \ref run(Node) "run()" or \ref init() |
891 | 892 |
///must be called before using this function. |
892 | 893 |
bool processed(Node v) const { return (*_heap_cross_ref)[v] == |
893 | 894 |
Heap::POST_HEAP; } |
894 | 895 |
|
895 | 896 |
///The current distance of a node from the root(s). |
896 | 897 |
|
897 | 898 |
///Returns the current distance of a node from the root(s). |
898 | 899 |
///It may be decreased in the following processes. |
899 | 900 |
/// |
900 | 901 |
///\pre Either \ref run(Node) "run()" or \ref init() |
901 | 902 |
///must be called before using this function and |
902 | 903 |
///node \c v must be reached but not necessarily processed. |
903 | 904 |
Value currentDist(Node v) const { |
904 | 905 |
return processed(v) ? (*_dist)[v] : (*_heap)[v]; |
905 | 906 |
} |
906 | 907 |
|
907 | 908 |
///@} |
908 | 909 |
}; |
909 | 910 |
|
910 | 911 |
|
911 | 912 |
///Default traits class of dijkstra() function. |
912 | 913 |
|
913 | 914 |
///Default traits class of dijkstra() function. |
914 | 915 |
///\tparam GR The type of the digraph. |
915 | 916 |
///\tparam LM The type of the length map. |
916 | 917 |
template<class GR, class LM> |
917 | 918 |
struct DijkstraWizardDefaultTraits |
918 | 919 |
{ |
919 | 920 |
///The type of the digraph the algorithm runs on. |
920 | 921 |
typedef GR Digraph; |
921 | 922 |
///The type of the map that stores the arc lengths. |
922 | 923 |
|
923 | 924 |
///The type of the map that stores the arc lengths. |
924 | 925 |
///It must meet the \ref concepts::ReadMap "ReadMap" concept. |
925 | 926 |
typedef LM LengthMap; |
926 | 927 |
///The type of the length of the arcs. |
927 | 928 |
typedef typename LM::Value Value; |
928 | 929 |
|
929 | 930 |
/// Operation traits for Dijkstra algorithm. |
930 | 931 |
|
931 | 932 |
/// This class defines the operations that are used in the algorithm. |
932 | 933 |
/// \see DijkstraDefaultOperationTraits |
933 | 934 |
typedef DijkstraDefaultOperationTraits<Value> OperationTraits; |
934 | 935 |
|
935 | 936 |
/// The cross reference type used by the heap. |
936 | 937 |
|
937 | 938 |
/// The cross reference type used by the heap. |
938 | 939 |
/// Usually it is \c Digraph::NodeMap<int>. |
939 | 940 |
typedef typename Digraph::template NodeMap<int> HeapCrossRef; |
940 | 941 |
///Instantiates a \ref HeapCrossRef. |
941 | 942 |
|
942 | 943 |
///This function instantiates a \ref HeapCrossRef. |
943 | 944 |
/// \param g is the digraph, to which we would like to define the |
944 | 945 |
/// HeapCrossRef. |
945 | 946 |
static HeapCrossRef *createHeapCrossRef(const Digraph &g) |
946 | 947 |
{ |
947 | 948 |
return new HeapCrossRef(g); |
948 | 949 |
} |
949 | 950 |
|
950 | 951 |
///The heap type used by the Dijkstra algorithm. |
951 | 952 |
|
952 | 953 |
///The heap type used by the Dijkstra algorithm. |
953 | 954 |
/// |
954 | 955 |
///\sa BinHeap |
955 | 956 |
///\sa Dijkstra |
956 | 957 |
typedef BinHeap<Value, typename Digraph::template NodeMap<int>, |
957 | 958 |
std::less<Value> > Heap; |
958 | 959 |
|
959 | 960 |
///Instantiates a \ref Heap. |
960 | 961 |
|
961 | 962 |
///This function instantiates a \ref Heap. |
962 | 963 |
/// \param r is the HeapCrossRef which is used. |
963 | 964 |
static Heap *createHeap(HeapCrossRef& r) |
964 | 965 |
{ |
965 | 966 |
return new Heap(r); |
966 | 967 |
} |
967 | 968 |
|
968 | 969 |
///\brief The type of the map that stores the predecessor |
969 | 970 |
///arcs of the shortest paths. |
970 | 971 |
/// |
971 | 972 |
///The type of the map that stores the predecessor |
972 | 973 |
///arcs of the shortest paths. |
973 | 974 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
974 | 975 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
975 | 976 |
///Instantiates a PredMap. |
976 | 977 |
|
977 | 978 |
///This function instantiates a PredMap. |
978 | 979 |
///\param g is the digraph, to which we would like to define the |
979 | 980 |
///PredMap. |
980 | 981 |
static PredMap *createPredMap(const Digraph &g) |
981 | 982 |
{ |
982 | 983 |
return new PredMap(g); |
983 | 984 |
} |
984 | 985 |
|
985 | 986 |
///The type of the map that indicates which nodes are processed. |
986 | 987 |
|
987 | 988 |
///The type of the map that indicates which nodes are processed. |
988 | 989 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
989 | 990 |
///By default it is a NullMap. |
990 | 991 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
991 | 992 |
///Instantiates a ProcessedMap. |
992 | 993 |
|
993 | 994 |
///This function instantiates a ProcessedMap. |
994 | 995 |
///\param g is the digraph, to which |
995 | 996 |
///we would like to define the ProcessedMap. |
996 | 997 |
#ifdef DOXYGEN |
997 | 998 |
static ProcessedMap *createProcessedMap(const Digraph &g) |
998 | 999 |
#else |
999 | 1000 |
static ProcessedMap *createProcessedMap(const Digraph &) |
1000 | 1001 |
#endif |
1001 | 1002 |
{ |
1002 | 1003 |
return new ProcessedMap(); |
1003 | 1004 |
} |
1004 | 1005 |
|
1005 | 1006 |
///The type of the map that stores the distances of the nodes. |
1006 | 1007 |
|
1007 | 1008 |
///The type of the map that stores the distances of the nodes. |
1008 | 1009 |
///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
1009 | 1010 |
typedef typename Digraph::template NodeMap<typename LM::Value> DistMap; |
1010 | 1011 |
///Instantiates a DistMap. |
1011 | 1012 |
|
1012 | 1013 |
///This function instantiates a DistMap. |
1013 | 1014 |
///\param g is the digraph, to which we would like to define |
1014 | 1015 |
///the DistMap |
1015 | 1016 |
static DistMap *createDistMap(const Digraph &g) |
1016 | 1017 |
{ |
1017 | 1018 |
return new DistMap(g); |
1018 | 1019 |
} |
1019 | 1020 |
|
1020 | 1021 |
///The type of the shortest paths. |
1021 | 1022 |
|
1022 | 1023 |
///The type of the shortest paths. |
1023 | 1024 |
///It must meet the \ref concepts::Path "Path" concept. |
1024 | 1025 |
typedef lemon::Path<Digraph> Path; |
1025 | 1026 |
}; |
1026 | 1027 |
|
1027 | 1028 |
/// Default traits class used by DijkstraWizard |
1028 | 1029 |
|
1029 | 1030 |
/// To make it easier to use Dijkstra algorithm |
1030 | 1031 |
/// we have created a wizard class. |
1031 | 1032 |
/// This \ref DijkstraWizard class needs default traits, |
1032 | 1033 |
/// as well as the \ref Dijkstra class. |
1033 | 1034 |
/// The \ref DijkstraWizardBase is a class to be the default traits of the |
1034 | 1035 |
/// \ref DijkstraWizard class. |
1035 | 1036 |
template<class GR,class LM> |
1036 | 1037 |
class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LM> |
1037 | 1038 |
{ |
1038 | 1039 |
typedef DijkstraWizardDefaultTraits<GR,LM> Base; |
1039 | 1040 |
protected: |
1040 | 1041 |
//The type of the nodes in the digraph. |
1041 | 1042 |
typedef typename Base::Digraph::Node Node; |
1042 | 1043 |
|
1043 | 1044 |
//Pointer to the digraph the algorithm runs on. |
1044 | 1045 |
void *_g; |
1045 | 1046 |
//Pointer to the length map. |
1046 | 1047 |
void *_length; |
1047 | 1048 |
//Pointer to the map of processed nodes. |
1048 | 1049 |
void *_processed; |
1049 | 1050 |
//Pointer to the map of predecessors arcs. |
1050 | 1051 |
void *_pred; |
1051 | 1052 |
//Pointer to the map of distances. |
1052 | 1053 |
void *_dist; |
1053 | 1054 |
//Pointer to the shortest path to the target node. |
1054 | 1055 |
void *_path; |
1055 | 1056 |
//Pointer to the distance of the target node. |
1056 | 1057 |
void *_di; |
1057 | 1058 |
|
1058 | 1059 |
public: |
1059 | 1060 |
/// Constructor. |
1060 | 1061 |
|
1061 | 1062 |
/// This constructor does not require parameters, therefore it initiates |
1062 | 1063 |
/// all of the attributes to \c 0. |
1063 | 1064 |
DijkstraWizardBase() : _g(0), _length(0), _processed(0), _pred(0), |
1064 | 1065 |
_dist(0), _path(0), _di(0) {} |
1065 | 1066 |
|
1066 | 1067 |
/// Constructor. |
1067 | 1068 |
|
1068 | 1069 |
/// This constructor requires two parameters, |
1069 | 1070 |
/// others are initiated to \c 0. |
1070 | 1071 |
/// \param g The digraph the algorithm runs on. |
1071 | 1072 |
/// \param l The length map. |
1072 | 1073 |
DijkstraWizardBase(const GR &g,const LM &l) : |
1073 | 1074 |
_g(reinterpret_cast<void*>(const_cast<GR*>(&g))), |
1074 | 1075 |
_length(reinterpret_cast<void*>(const_cast<LM*>(&l))), |
1075 | 1076 |
_processed(0), _pred(0), _dist(0), _path(0), _di(0) {} |
1076 | 1077 |
|
1077 | 1078 |
}; |
1078 | 1079 |
|
1079 | 1080 |
/// Auxiliary class for the function-type interface of Dijkstra algorithm. |
1080 | 1081 |
|
1081 | 1082 |
/// This auxiliary class is created to implement the |
1082 | 1083 |
/// \ref dijkstra() "function-type interface" of \ref Dijkstra algorithm. |
1083 | 1084 |
/// It does not have own \ref run(Node) "run()" method, it uses the |
1084 | 1085 |
/// functions and features of the plain \ref Dijkstra. |
1085 | 1086 |
/// |
1086 | 1087 |
/// This class should only be used through the \ref dijkstra() function, |
1087 | 1088 |
/// which makes it easier to use the algorithm. |
1088 | 1089 |
template<class TR> |
1089 | 1090 |
class DijkstraWizard : public TR |
1090 | 1091 |
{ |
1091 | 1092 |
typedef TR Base; |
1092 | 1093 |
|
1093 | 1094 |
///The type of the digraph the algorithm runs on. |
1094 | 1095 |
typedef typename TR::Digraph Digraph; |
1095 | 1096 |
|
1096 | 1097 |
typedef typename Digraph::Node Node; |
1097 | 1098 |
typedef typename Digraph::NodeIt NodeIt; |
1098 | 1099 |
typedef typename Digraph::Arc Arc; |
1099 | 1100 |
typedef typename Digraph::OutArcIt OutArcIt; |
1100 | 1101 |
|
1101 | 1102 |
///The type of the map that stores the arc lengths. |
1102 | 1103 |
typedef typename TR::LengthMap LengthMap; |
1103 | 1104 |
///The type of the length of the arcs. |
1104 | 1105 |
typedef typename LengthMap::Value Value; |
1105 | 1106 |
///\brief The type of the map that stores the predecessor |
1106 | 1107 |
///arcs of the shortest paths. |
1107 | 1108 |
typedef typename TR::PredMap PredMap; |
1108 | 1109 |
///The type of the map that stores the distances of the nodes. |
1109 | 1110 |
typedef typename TR::DistMap DistMap; |
1110 | 1111 |
///The type of the map that indicates which nodes are processed. |
1111 | 1112 |
typedef typename TR::ProcessedMap ProcessedMap; |
1112 | 1113 |
///The type of the shortest paths |
1113 | 1114 |
typedef typename TR::Path Path; |
1114 | 1115 |
///The heap type used by the dijkstra algorithm. |
1115 | 1116 |
typedef typename TR::Heap Heap; |
1116 | 1117 |
|
1117 | 1118 |
public: |
1118 | 1119 |
|
1119 | 1120 |
/// Constructor. |
1120 | 1121 |
DijkstraWizard() : TR() {} |
1121 | 1122 |
|
1122 | 1123 |
/// Constructor that requires parameters. |
1123 | 1124 |
|
1124 | 1125 |
/// Constructor that requires parameters. |
1125 | 1126 |
/// These parameters will be the default values for the traits class. |
1126 | 1127 |
/// \param g The digraph the algorithm runs on. |
1127 | 1128 |
/// \param l The length map. |
1128 | 1129 |
DijkstraWizard(const Digraph &g, const LengthMap &l) : |
1129 | 1130 |
TR(g,l) {} |
1130 | 1131 |
|
1131 | 1132 |
///Copy constructor |
1132 | 1133 |
DijkstraWizard(const TR &b) : TR(b) {} |
1133 | 1134 |
|
1134 | 1135 |
~DijkstraWizard() {} |
1135 | 1136 |
|
1136 | 1137 |
///Runs Dijkstra algorithm from the given source node. |
1137 | 1138 |
|
1138 | 1139 |
///This method runs %Dijkstra algorithm from the given source node |
1139 | 1140 |
///in order to compute the shortest path to each node. |
1140 | 1141 |
void run(Node s) |
1141 | 1142 |
{ |
1142 | 1143 |
Dijkstra<Digraph,LengthMap,TR> |
1143 | 1144 |
dijk(*reinterpret_cast<const Digraph*>(Base::_g), |
1144 | 1145 |
*reinterpret_cast<const LengthMap*>(Base::_length)); |
1145 | 1146 |
if (Base::_pred) |
1146 | 1147 |
dijk.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
1147 | 1148 |
if (Base::_dist) |
1148 | 1149 |
dijk.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
1149 | 1150 |
if (Base::_processed) |
1150 | 1151 |
dijk.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed)); |
1151 | 1152 |
dijk.run(s); |
1152 | 1153 |
} |
1153 | 1154 |
|
1154 | 1155 |
///Finds the shortest path between \c s and \c t. |
1155 | 1156 |
|
1156 | 1157 |
///This method runs the %Dijkstra algorithm from node \c s |
1157 | 1158 |
///in order to compute the shortest path to node \c t |
1158 | 1159 |
///(it stops searching when \c t is processed). |
1159 | 1160 |
/// |
1160 | 1161 |
///\return \c true if \c t is reachable form \c s. |
1161 | 1162 |
bool run(Node s, Node t) |
1162 | 1163 |
{ |
1163 | 1164 |
Dijkstra<Digraph,LengthMap,TR> |
1164 | 1165 |
dijk(*reinterpret_cast<const Digraph*>(Base::_g), |
1165 | 1166 |
*reinterpret_cast<const LengthMap*>(Base::_length)); |
1166 | 1167 |
if (Base::_pred) |
1167 | 1168 |
dijk.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
1168 | 1169 |
if (Base::_dist) |
1169 | 1170 |
dijk.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
1170 | 1171 |
if (Base::_processed) |
1171 | 1172 |
dijk.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed)); |
1172 | 1173 |
dijk.run(s,t); |
1173 | 1174 |
if (Base::_path) |
1174 | 1175 |
*reinterpret_cast<Path*>(Base::_path) = dijk.path(t); |
1175 | 1176 |
if (Base::_di) |
1176 | 1177 |
*reinterpret_cast<Value*>(Base::_di) = dijk.dist(t); |
1177 | 1178 |
return dijk.reached(t); |
1178 | 1179 |
} |
1179 | 1180 |
|
1180 | 1181 |
template<class T> |
1181 | 1182 |
struct SetPredMapBase : public Base { |
1182 | 1183 |
typedef T PredMap; |
1183 | 1184 |
static PredMap *createPredMap(const Digraph &) { return 0; }; |
1184 | 1185 |
SetPredMapBase(const TR &b) : TR(b) {} |
1185 | 1186 |
}; |
1186 | 1187 |
///\brief \ref named-func-param "Named parameter" |
1187 | 1188 |
///for setting PredMap object. |
1188 | 1189 |
/// |
1189 | 1190 |
///\ref named-func-param "Named parameter" |
1190 | 1191 |
///for setting PredMap object. |
1191 | 1192 |
template<class T> |
1192 | 1193 |
DijkstraWizard<SetPredMapBase<T> > predMap(const T &t) |
1193 | 1194 |
{ |
1194 | 1195 |
Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1195 | 1196 |
return DijkstraWizard<SetPredMapBase<T> >(*this); |
1196 | 1197 |
} |
1197 | 1198 |
|
1198 | 1199 |
template<class T> |
1199 | 1200 |
struct SetDistMapBase : public Base { |
1200 | 1201 |
typedef T DistMap; |
1201 | 1202 |
static DistMap *createDistMap(const Digraph &) { return 0; }; |
1202 | 1203 |
SetDistMapBase(const TR &b) : TR(b) {} |
1203 | 1204 |
}; |
1204 | 1205 |
///\brief \ref named-func-param "Named parameter" |
1205 | 1206 |
///for setting DistMap object. |
1206 | 1207 |
/// |
1207 | 1208 |
///\ref named-func-param "Named parameter" |
1208 | 1209 |
///for setting DistMap object. |
1209 | 1210 |
template<class T> |
1210 | 1211 |
DijkstraWizard<SetDistMapBase<T> > distMap(const T &t) |
1211 | 1212 |
{ |
1212 | 1213 |
Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1213 | 1214 |
return DijkstraWizard<SetDistMapBase<T> >(*this); |
1214 | 1215 |
} |
1215 | 1216 |
|
1216 | 1217 |
template<class T> |
1217 | 1218 |
struct SetProcessedMapBase : public Base { |
1218 | 1219 |
typedef T ProcessedMap; |
1219 | 1220 |
static ProcessedMap *createProcessedMap(const Digraph &) { return 0; }; |
1220 | 1221 |
SetProcessedMapBase(const TR &b) : TR(b) {} |
1221 | 1222 |
}; |
1222 | 1223 |
///\brief \ref named-func-param "Named parameter" |
1223 | 1224 |
///for setting ProcessedMap object. |
1224 | 1225 |
/// |
1225 | 1226 |
/// \ref named-func-param "Named parameter" |
1226 | 1227 |
///for setting ProcessedMap object. |
1227 | 1228 |
template<class T> |
1228 | 1229 |
DijkstraWizard<SetProcessedMapBase<T> > processedMap(const T &t) |
1229 | 1230 |
{ |
1230 | 1231 |
Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1231 | 1232 |
return DijkstraWizard<SetProcessedMapBase<T> >(*this); |
1232 | 1233 |
} |
1233 | 1234 |
|
1234 | 1235 |
template<class T> |
1235 | 1236 |
struct SetPathBase : public Base { |
1236 | 1237 |
typedef T Path; |
1237 | 1238 |
SetPathBase(const TR &b) : TR(b) {} |
1238 | 1239 |
}; |
1239 | 1240 |
///\brief \ref named-func-param "Named parameter" |
1240 | 1241 |
///for getting the shortest path to the target node. |
1241 | 1242 |
/// |
1242 | 1243 |
///\ref named-func-param "Named parameter" |
1243 | 1244 |
///for getting the shortest path to the target node. |
1244 | 1245 |
template<class T> |
1245 | 1246 |
DijkstraWizard<SetPathBase<T> > path(const T &t) |
1246 | 1247 |
{ |
1247 | 1248 |
Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t)); |
1248 | 1249 |
return DijkstraWizard<SetPathBase<T> >(*this); |
1249 | 1250 |
} |
1250 | 1251 |
|
1251 | 1252 |
///\brief \ref named-func-param "Named parameter" |
1252 | 1253 |
///for getting the distance of the target node. |
1253 | 1254 |
/// |
1254 | 1255 |
///\ref named-func-param "Named parameter" |
1255 | 1256 |
///for getting the distance of the target node. |
1256 | 1257 |
DijkstraWizard dist(const Value &d) |
1257 | 1258 |
{ |
1258 | 1259 |
Base::_di=reinterpret_cast<void*>(const_cast<Value*>(&d)); |
1259 | 1260 |
return *this; |
1260 | 1261 |
} |
1261 | 1262 |
|
1262 | 1263 |
}; |
1263 | 1264 |
|
1264 | 1265 |
///Function-type interface for Dijkstra algorithm. |
1265 | 1266 |
|
1266 | 1267 |
/// \ingroup shortest_path |
1267 | 1268 |
///Function-type interface for Dijkstra algorithm. |
1268 | 1269 |
/// |
1269 | 1270 |
///This function also has several \ref named-func-param "named parameters", |
1270 | 1271 |
///they are declared as the members of class \ref DijkstraWizard. |
1271 | 1272 |
///The following examples show how to use these parameters. |
1272 | 1273 |
///\code |
1273 | 1274 |
/// // Compute shortest path from node s to each node |
1274 | 1275 |
/// dijkstra(g,length).predMap(preds).distMap(dists).run(s); |
1275 | 1276 |
/// |
1276 | 1277 |
/// // Compute shortest path from s to t |
1277 | 1278 |
/// bool reached = dijkstra(g,length).path(p).dist(d).run(s,t); |
1278 | 1279 |
///\endcode |
1279 | 1280 |
///\warning Don't forget to put the \ref DijkstraWizard::run(Node) "run()" |
1280 | 1281 |
///to the end of the parameter list. |
1281 | 1282 |
///\sa DijkstraWizard |
1282 | 1283 |
///\sa Dijkstra |
1283 | 1284 |
template<class GR, class LM> |
1284 | 1285 |
DijkstraWizard<DijkstraWizardBase<GR,LM> > |
1285 | 1286 |
dijkstra(const GR &digraph, const LM &length) |
1286 | 1287 |
{ |
1287 | 1288 |
return DijkstraWizard<DijkstraWizardBase<GR,LM> >(digraph,length); |
1288 | 1289 |
} |
1289 | 1290 |
|
1290 | 1291 |
} //END OF NAMESPACE LEMON |
1291 | 1292 |
|
1292 | 1293 |
#endif |
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