1 | /* -*- C++ -*- |
---|
2 | * |
---|
3 | * This file is a part of LEMON, a generic C++ optimization library |
---|
4 | * |
---|
5 | * Copyright (C) 2003-2006 |
---|
6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
---|
7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
---|
8 | * |
---|
9 | * Permission to use, modify and distribute this software is granted |
---|
10 | * provided that this copyright notice appears in all copies. For |
---|
11 | * precise terms see the accompanying LICENSE file. |
---|
12 | * |
---|
13 | * This software is provided "AS IS" with no warranty of any kind, |
---|
14 | * express or implied, and with no claim as to its suitability for any |
---|
15 | * purpose. |
---|
16 | * |
---|
17 | */ |
---|
18 | |
---|
19 | #ifndef GRID_GRAPH_H |
---|
20 | #define GRID_GRAPH_H |
---|
21 | |
---|
22 | #include <iostream> |
---|
23 | #include <lemon/invalid.h> |
---|
24 | #include <lemon/utility.h> |
---|
25 | |
---|
26 | #include <lemon/bits/iterable_graph_extender.h> |
---|
27 | #include <lemon/bits/alteration_notifier.h> |
---|
28 | #include <lemon/bits/static_map.h> |
---|
29 | #include <lemon/bits/graph_extender.h> |
---|
30 | |
---|
31 | #include <lemon/xy.h> |
---|
32 | |
---|
33 | ///\ingroup graphs |
---|
34 | ///\file |
---|
35 | ///\brief GridGraph class. |
---|
36 | |
---|
37 | namespace lemon { |
---|
38 | |
---|
39 | /// \brief Base graph for GridGraph. |
---|
40 | /// |
---|
41 | /// Base graph for grid graph. It describes some member functions |
---|
42 | /// which can be used in the GridGraph. |
---|
43 | /// |
---|
44 | /// \warning Always use the GridGraph instead of this. |
---|
45 | /// \see GridGraph |
---|
46 | class GridGraphBase { |
---|
47 | |
---|
48 | public: |
---|
49 | |
---|
50 | typedef GridGraphBase Graph; |
---|
51 | |
---|
52 | class Node; |
---|
53 | class Edge; |
---|
54 | |
---|
55 | public: |
---|
56 | |
---|
57 | GridGraphBase() {} |
---|
58 | |
---|
59 | protected: |
---|
60 | |
---|
61 | /// \brief Creates a grid graph with the given size. |
---|
62 | /// |
---|
63 | /// Creates a grid graph with the given size. |
---|
64 | void construct(int width, int height) { |
---|
65 | _height = height; _width = width; |
---|
66 | _nodeNum = height * width; _edgeNum = 2 * _nodeNum - width - height; |
---|
67 | _edgeLimit = _nodeNum - width; |
---|
68 | } |
---|
69 | |
---|
70 | /// \brief Gives back the edge goes down from the node. |
---|
71 | /// |
---|
72 | /// Gives back the edge goes down from the node. If there is not |
---|
73 | /// outgoing edge then it gives back INVALID. |
---|
74 | Edge _down(Node n) const { |
---|
75 | if (n.id < _nodeNum - _width) { |
---|
76 | return Edge(n.id); |
---|
77 | } else { |
---|
78 | return INVALID; |
---|
79 | } |
---|
80 | } |
---|
81 | |
---|
82 | /// \brief Gives back the edge comes from up into the node. |
---|
83 | /// |
---|
84 | /// Gives back the edge comes from up into the node. If there is not |
---|
85 | /// incoming edge then it gives back INVALID. |
---|
86 | Edge _up(Node n) const { |
---|
87 | if (n.id >= _width) { |
---|
88 | return Edge(n.id - _width); |
---|
89 | } else { |
---|
90 | return INVALID; |
---|
91 | } |
---|
92 | } |
---|
93 | |
---|
94 | /// \brief Gives back the edge goes right from the node. |
---|
95 | /// |
---|
96 | /// Gives back the edge goes right from the node. If there is not |
---|
97 | /// outgoing edge then it gives back INVALID. |
---|
98 | Edge _right(Node n) const { |
---|
99 | if (n.id % _width < _width - 1) { |
---|
100 | return _edgeLimit + n.id % _width + (n.id / _width) * (_width - 1); |
---|
101 | } else { |
---|
102 | return INVALID; |
---|
103 | } |
---|
104 | } |
---|
105 | |
---|
106 | /// \brief Gives back the edge comes from left into the node. |
---|
107 | /// |
---|
108 | /// Gives back the edge comes left up into the node. If there is not |
---|
109 | /// incoming edge then it gives back INVALID. |
---|
110 | Edge _left(Node n) const { |
---|
111 | if (n.id % _width > 0) { |
---|
112 | return _edgeLimit + n.id % _width + (n.id / _width) * (_width - 1) - 1; |
---|
113 | } else { |
---|
114 | return INVALID; |
---|
115 | } |
---|
116 | } |
---|
117 | |
---|
118 | |
---|
119 | public: |
---|
120 | |
---|
121 | /// \brief The node on the given position. |
---|
122 | /// |
---|
123 | /// Gives back the node on the given position. |
---|
124 | Node operator()(int i, int j) const { |
---|
125 | return Node(i + j * _width); |
---|
126 | } |
---|
127 | |
---|
128 | /// \brief Gives back the row index of the node. |
---|
129 | /// |
---|
130 | /// Gives back the row index of the node. |
---|
131 | int row(Node n) const { |
---|
132 | return n.id / _width; |
---|
133 | } |
---|
134 | |
---|
135 | /// \brief Gives back the coloumn index of the node. |
---|
136 | /// |
---|
137 | /// Gives back the coloumn index of the node. |
---|
138 | int col(Node n) const { |
---|
139 | return n.id % _width; |
---|
140 | } |
---|
141 | |
---|
142 | /// \brief Gives back the width of the graph. |
---|
143 | /// |
---|
144 | /// Gives back the width of the graph. |
---|
145 | int width() const { |
---|
146 | return _width; |
---|
147 | } |
---|
148 | |
---|
149 | /// \brief Gives back the height of the graph. |
---|
150 | /// |
---|
151 | /// Gives back the height of the graph. |
---|
152 | int height() const { |
---|
153 | return _height; |
---|
154 | } |
---|
155 | |
---|
156 | typedef True NodeNumTag; |
---|
157 | typedef True EdgeNumTag; |
---|
158 | |
---|
159 | ///Number of nodes. |
---|
160 | int nodeNum() const { return _nodeNum; } |
---|
161 | ///Number of edges. |
---|
162 | int edgeNum() const { return _edgeNum; } |
---|
163 | |
---|
164 | /// Maximum node ID. |
---|
165 | |
---|
166 | /// Maximum node ID. |
---|
167 | ///\sa id(Node) |
---|
168 | int maxNodeId() const { return nodeNum() - 1; } |
---|
169 | /// Maximum edge ID. |
---|
170 | |
---|
171 | /// Maximum edge ID. |
---|
172 | ///\sa id(Edge) |
---|
173 | int maxEdgeId() const { return edgeNum() - 1; } |
---|
174 | |
---|
175 | /// \brief Gives back the source node of an edge. |
---|
176 | /// |
---|
177 | /// Gives back the source node of an edge. |
---|
178 | Node source(Edge e) const { |
---|
179 | if (e.id < _edgeLimit) { |
---|
180 | return e.id; |
---|
181 | } else { |
---|
182 | return (e.id - _edgeLimit) % (_width - 1) + |
---|
183 | (e.id - _edgeLimit) / (_width - 1) * _width; |
---|
184 | } |
---|
185 | } |
---|
186 | |
---|
187 | /// \brief Gives back the target node of an edge. |
---|
188 | /// |
---|
189 | /// Gives back the target node of an edge. |
---|
190 | Node target(Edge e) const { |
---|
191 | if (e.id < _edgeLimit) { |
---|
192 | return e.id + _width; |
---|
193 | } else { |
---|
194 | return (e.id - _edgeLimit) % (_width - 1) + |
---|
195 | (e.id - _edgeLimit) / (_width - 1) * _width + 1; |
---|
196 | } |
---|
197 | } |
---|
198 | |
---|
199 | /// Node ID. |
---|
200 | |
---|
201 | /// The ID of a valid Node is a nonnegative integer not greater than |
---|
202 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
---|
203 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
---|
204 | /// |
---|
205 | /// The ID of the \ref INVALID node is -1. |
---|
206 | ///\return The ID of the node \c v. |
---|
207 | |
---|
208 | static int id(Node v) { return v.id; } |
---|
209 | /// Edge ID. |
---|
210 | |
---|
211 | /// The ID of a valid Edge is a nonnegative integer not greater than |
---|
212 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
---|
213 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
---|
214 | /// |
---|
215 | /// The ID of the \ref INVALID edge is -1. |
---|
216 | ///\return The ID of the edge \c e. |
---|
217 | static int id(Edge e) { return e.id; } |
---|
218 | |
---|
219 | static Node nodeFromId(int id) { return Node(id);} |
---|
220 | |
---|
221 | static Edge edgeFromId(int id) { return Edge(id);} |
---|
222 | |
---|
223 | typedef True FindEdgeTag; |
---|
224 | |
---|
225 | /// Finds an edge between two nodes. |
---|
226 | |
---|
227 | /// Finds an edge from node \c u to node \c v. |
---|
228 | /// |
---|
229 | /// If \c prev is \ref INVALID (this is the default value), then |
---|
230 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
---|
231 | /// the next edge from \c u to \c v after \c prev. |
---|
232 | /// \return The found edge or INVALID if there is no such an edge. |
---|
233 | Edge findEdge(Node u, Node v, Edge prev = INVALID) const { |
---|
234 | if (prev != INVALID) return INVALID; |
---|
235 | if (v.id - u.id == _width) return Edge(u.id); |
---|
236 | if (v.id - u.id == 1 && u.id % _width < _width - 1) { |
---|
237 | return Edge(u.id / _width * (_width - 1) + |
---|
238 | u.id % _width + _edgeLimit); |
---|
239 | } |
---|
240 | return INVALID; |
---|
241 | } |
---|
242 | |
---|
243 | |
---|
244 | class Node { |
---|
245 | friend class GridGraphBase; |
---|
246 | |
---|
247 | protected: |
---|
248 | int id; |
---|
249 | Node(int _id) { id = _id;} |
---|
250 | public: |
---|
251 | Node() {} |
---|
252 | Node (Invalid) { id = -1; } |
---|
253 | bool operator==(const Node node) const {return id == node.id;} |
---|
254 | bool operator!=(const Node node) const {return id != node.id;} |
---|
255 | bool operator<(const Node node) const {return id < node.id;} |
---|
256 | }; |
---|
257 | |
---|
258 | |
---|
259 | |
---|
260 | class Edge { |
---|
261 | friend class GridGraphBase; |
---|
262 | |
---|
263 | protected: |
---|
264 | int id; |
---|
265 | |
---|
266 | Edge(int _id) : id(_id) {} |
---|
267 | |
---|
268 | public: |
---|
269 | Edge() { } |
---|
270 | Edge (Invalid) { id = -1; } |
---|
271 | bool operator==(const Edge edge) const {return id == edge.id;} |
---|
272 | bool operator!=(const Edge edge) const {return id != edge.id;} |
---|
273 | bool operator<(const Edge edge) const {return id < edge.id;} |
---|
274 | }; |
---|
275 | |
---|
276 | void first(Node& node) const { |
---|
277 | node.id = nodeNum() - 1; |
---|
278 | } |
---|
279 | |
---|
280 | static void next(Node& node) { |
---|
281 | --node.id; |
---|
282 | } |
---|
283 | |
---|
284 | void first(Edge& edge) const { |
---|
285 | edge.id = edgeNum() - 1; |
---|
286 | } |
---|
287 | |
---|
288 | static void next(Edge& edge) { |
---|
289 | --edge.id; |
---|
290 | } |
---|
291 | |
---|
292 | void firstOut(Edge& edge, const Node& node) const { |
---|
293 | if (node.id < _nodeNum - _width) { |
---|
294 | edge.id = node.id; |
---|
295 | } else if (node.id % _width < _width - 1) { |
---|
296 | edge.id = _edgeLimit + node.id % _width + |
---|
297 | (node.id / _width) * (_width - 1); |
---|
298 | } else { |
---|
299 | edge.id = -1; |
---|
300 | } |
---|
301 | } |
---|
302 | |
---|
303 | void nextOut(Edge& edge) const { |
---|
304 | if (edge.id >= _edgeLimit) { |
---|
305 | edge.id = -1; |
---|
306 | } else if (edge.id % _width < _width - 1) { |
---|
307 | edge.id = _edgeLimit + edge.id % _width + |
---|
308 | (edge.id / _width) * (_width - 1); |
---|
309 | } else { |
---|
310 | edge.id = -1; |
---|
311 | } |
---|
312 | } |
---|
313 | |
---|
314 | void firstIn(Edge& edge, const Node& node) const { |
---|
315 | if (node.id >= _width) { |
---|
316 | edge.id = node.id - _width; |
---|
317 | } else if (node.id % _width > 0) { |
---|
318 | edge.id = _edgeLimit + node.id % _width + |
---|
319 | (node.id / _width) * (_width - 1) - 1; |
---|
320 | } else { |
---|
321 | edge.id = -1; |
---|
322 | } |
---|
323 | } |
---|
324 | |
---|
325 | void nextIn(Edge& edge) const { |
---|
326 | if (edge.id >= _edgeLimit) { |
---|
327 | edge.id = -1; |
---|
328 | } else if (edge.id % _width > 0) { |
---|
329 | edge.id = _edgeLimit + edge.id % _width + |
---|
330 | (edge.id / _width + 1) * (_width - 1) - 1; |
---|
331 | } else { |
---|
332 | edge.id = -1; |
---|
333 | } |
---|
334 | } |
---|
335 | |
---|
336 | private: |
---|
337 | int _width, _height; |
---|
338 | int _nodeNum, _edgeNum; |
---|
339 | int _edgeLimit; |
---|
340 | }; |
---|
341 | |
---|
342 | |
---|
343 | typedef StaticMappableUGraphExtender< |
---|
344 | IterableUGraphExtender< |
---|
345 | AlterableUGraphExtender< |
---|
346 | UGraphExtender<GridGraphBase> > > > ExtendedGridGraphBase; |
---|
347 | |
---|
348 | /// \ingroup graphs |
---|
349 | /// |
---|
350 | /// \brief Grid graph class |
---|
351 | /// |
---|
352 | /// This class implements a special graph type. The nodes of the |
---|
353 | /// graph can be indiced by two integer \c (i,j) value where \c i |
---|
354 | /// is in the \c [0,width) range and j is in the [0, height) range. |
---|
355 | /// Two nodes are connected in the graph if the indices differ only |
---|
356 | /// on one position and only one is the difference. |
---|
357 | /// |
---|
358 | /// The graph can be indiced in the following way: |
---|
359 | ///\code |
---|
360 | /// GridGraph graph(w, h); |
---|
361 | /// GridGraph::NodeMap<int> val(graph); |
---|
362 | /// for (int i = 0; i < graph.width(); ++i) { |
---|
363 | /// for (int j = 0; j < graph.height(); ++j) { |
---|
364 | /// val[graph(i, j)] = i + j; |
---|
365 | /// } |
---|
366 | /// } |
---|
367 | ///\endcode |
---|
368 | /// |
---|
369 | /// The graph type is fully conform to the \ref concept::UGraph |
---|
370 | /// "Undirected Graph" concept. |
---|
371 | /// |
---|
372 | /// \author Balazs Dezso |
---|
373 | /// \see GridGraphBase |
---|
374 | class GridGraph : public ExtendedGridGraphBase { |
---|
375 | public: |
---|
376 | |
---|
377 | /// \brief Map to get the indices of the nodes as xy<int>. |
---|
378 | /// |
---|
379 | /// Map to get the indices of the nodes as xy<int>. |
---|
380 | class IndexMap { |
---|
381 | public: |
---|
382 | typedef True NeedCopy; |
---|
383 | /// \brief The key type of the map |
---|
384 | typedef GridGraph::Node Key; |
---|
385 | /// \brief The value type of the map |
---|
386 | typedef xy<int> Value; |
---|
387 | |
---|
388 | /// \brief Constructor |
---|
389 | /// |
---|
390 | /// Constructor |
---|
391 | IndexMap(const GridGraph& _graph) : graph(_graph) {} |
---|
392 | |
---|
393 | /// \brief The subscript operator |
---|
394 | /// |
---|
395 | /// The subscript operator. |
---|
396 | Value operator[](Key key) const { |
---|
397 | return xy<int>(graph.row(key), graph.col(key)); |
---|
398 | } |
---|
399 | |
---|
400 | private: |
---|
401 | const GridGraph& graph; |
---|
402 | }; |
---|
403 | |
---|
404 | /// \brief Map to get the row of the nodes. |
---|
405 | /// |
---|
406 | /// Map to get the row of the nodes. |
---|
407 | class RowMap { |
---|
408 | public: |
---|
409 | typedef True NeedCopy; |
---|
410 | /// \brief The key type of the map |
---|
411 | typedef GridGraph::Node Key; |
---|
412 | /// \brief The value type of the map |
---|
413 | typedef int Value; |
---|
414 | |
---|
415 | /// \brief Constructor |
---|
416 | /// |
---|
417 | /// Constructor |
---|
418 | RowMap(const GridGraph& _graph) : graph(_graph) {} |
---|
419 | |
---|
420 | /// \brief The subscript operator |
---|
421 | /// |
---|
422 | /// The subscript operator. |
---|
423 | Value operator[](Key key) const { |
---|
424 | return graph.row(key); |
---|
425 | } |
---|
426 | |
---|
427 | private: |
---|
428 | const GridGraph& graph; |
---|
429 | }; |
---|
430 | |
---|
431 | /// \brief Map to get the column of the nodes. |
---|
432 | /// |
---|
433 | /// Map to get the column of the nodes. |
---|
434 | class ColMap { |
---|
435 | public: |
---|
436 | typedef True NeedCopy; |
---|
437 | /// \brief The key type of the map |
---|
438 | typedef GridGraph::Node Key; |
---|
439 | /// \brief The value type of the map |
---|
440 | typedef int Value; |
---|
441 | |
---|
442 | /// \brief Constructor |
---|
443 | /// |
---|
444 | /// Constructor |
---|
445 | ColMap(const GridGraph& _graph) : graph(_graph) {} |
---|
446 | |
---|
447 | /// \brief The subscript operator |
---|
448 | /// |
---|
449 | /// The subscript operator. |
---|
450 | Value operator[](Key key) const { |
---|
451 | return graph.col(key); |
---|
452 | } |
---|
453 | |
---|
454 | private: |
---|
455 | const GridGraph& graph; |
---|
456 | }; |
---|
457 | |
---|
458 | /// \brief Constructor |
---|
459 | /// |
---|
460 | /// |
---|
461 | GridGraph(int n, int m) { construct(n, m); } |
---|
462 | |
---|
463 | /// \brief Gives back the edge goes down from the node. |
---|
464 | /// |
---|
465 | /// Gives back the edge goes down from the node. If there is not |
---|
466 | /// outgoing edge then it gives back INVALID. |
---|
467 | Edge down(Node n) const { |
---|
468 | UEdge ue = _down(n); |
---|
469 | return ue != INVALID ? direct(ue, true) : INVALID; |
---|
470 | } |
---|
471 | |
---|
472 | /// \brief Gives back the edge goes up from the node. |
---|
473 | /// |
---|
474 | /// Gives back the edge goes up from the node. If there is not |
---|
475 | /// outgoing edge then it gives back INVALID. |
---|
476 | Edge up(Node n) const { |
---|
477 | UEdge ue = _up(n); |
---|
478 | return ue != INVALID ? direct(ue, false) : INVALID; |
---|
479 | } |
---|
480 | |
---|
481 | /// \brief Gives back the edge goes right from the node. |
---|
482 | /// |
---|
483 | /// Gives back the edge goes right from the node. If there is not |
---|
484 | /// outgoing edge then it gives back INVALID. |
---|
485 | Edge right(Node n) const { |
---|
486 | UEdge ue = _right(n); |
---|
487 | return ue != INVALID ? direct(ue, true) : INVALID; |
---|
488 | } |
---|
489 | |
---|
490 | /// \brief Gives back the edge goes left from the node. |
---|
491 | /// |
---|
492 | /// Gives back the edge goes left from the node. If there is not |
---|
493 | /// outgoing edge then it gives back INVALID. |
---|
494 | Edge left(Node n) const { |
---|
495 | UEdge ue = _left(n); |
---|
496 | return ue != INVALID ? direct(ue, false) : INVALID; |
---|
497 | } |
---|
498 | |
---|
499 | }; |
---|
500 | |
---|
501 | /// \brief Index map of the grid graph |
---|
502 | /// |
---|
503 | /// Just returns an IndexMap for the grid graph. |
---|
504 | GridGraph::IndexMap indexMap(const GridGraph& graph) { |
---|
505 | return GridGraph::IndexMap(graph); |
---|
506 | } |
---|
507 | |
---|
508 | /// \brief Row map of the grid graph |
---|
509 | /// |
---|
510 | /// Just returns a RowMap for the grid graph. |
---|
511 | GridGraph::RowMap rowMap(const GridGraph& graph) { |
---|
512 | return GridGraph::RowMap(graph); |
---|
513 | } |
---|
514 | |
---|
515 | /// \brief Column map of the grid graph |
---|
516 | /// |
---|
517 | /// Just returns a ColMap for the grid graph. |
---|
518 | GridGraph::ColMap colMap(const GridGraph& graph) { |
---|
519 | return GridGraph::ColMap(graph); |
---|
520 | } |
---|
521 | } |
---|
522 | #endif |
---|