|
1
|
|
|
<?php |
|
2
|
|
|
|
|
3
|
|
|
namespace Graphp\Path; |
|
4
|
|
|
|
|
5
|
|
|
use ArrayObject; |
|
6
|
|
|
use InvalidArgumentException; |
|
7
|
|
|
use Graphp\GraphInterface; |
|
8
|
|
|
use Graphp\GraphPathInterface; |
|
9
|
|
|
use Graphp\GraphUtils; |
|
10
|
|
|
use Graphp\Vertex\VertexInterface; |
|
11
|
|
|
|
|
12
|
|
|
/** |
|
13
|
|
|
* Class GraphWalk |
|
14
|
|
|
* |
|
15
|
|
|
* @package Graphp\Path |
|
16
|
|
|
*/ |
|
17
|
|
|
class GraphWalk extends AbstractGraphPath |
|
18
|
|
|
{ |
|
19
|
|
|
/** |
|
20
|
|
|
* The edge list making up the path |
|
21
|
|
|
* |
|
22
|
|
|
* @var array |
|
23
|
|
|
*/ |
|
24
|
|
|
protected $edgeList; |
|
25
|
|
|
|
|
26
|
|
|
/** |
|
27
|
|
|
* The vertex list making up the path |
|
28
|
|
|
* |
|
29
|
|
|
* @var array |
|
30
|
|
|
*/ |
|
31
|
|
|
protected $vertexList; |
|
32
|
|
|
|
|
33
|
|
|
/** |
|
34
|
|
|
* The walk unique hash |
|
35
|
|
|
* |
|
36
|
|
|
* @var string |
|
37
|
|
|
*/ |
|
38
|
|
|
private $hash; |
|
39
|
|
|
|
|
40
|
|
|
/** |
|
41
|
|
|
* Construct a new graph walk |
|
42
|
|
|
* |
|
43
|
|
|
* @param GraphPathInterface $other - the other walk |
|
44
|
|
|
* |
|
45
|
|
|
* @throws InvalidArgumentException |
|
46
|
|
|
*/ |
|
47
|
19 |
|
public function __construct( |
|
48
|
|
|
GraphInterface $graph, |
|
49
|
|
|
?VertexInterface $startVertex = null, |
|
50
|
|
|
?VertexInterface $endVertex = null, |
|
51
|
|
|
?array $vertexList = null, |
|
52
|
|
|
?array $edgeList = null, |
|
53
|
|
|
?float $weight = 0.0 |
|
54
|
|
|
) { |
|
55
|
19 |
|
if (is_null($vertexList) && is_null($edgeList)) { |
|
56
|
1 |
|
throw new InvalidArgumentException("Vertex list and edge list cannot both be empty!"); |
|
57
|
|
|
} |
|
58
|
|
|
|
|
59
|
|
|
if ( |
|
60
|
18 |
|
!is_null($startVertex) |
|
61
|
18 |
|
&& !is_null($vertexList) |
|
62
|
18 |
|
&& !is_null($edgeList) |
|
63
|
18 |
|
&& (count($edgeList) + 1 != count($vertexList)) |
|
64
|
|
|
) { |
|
65
|
|
|
throw new InvalidArgumentException( |
|
66
|
|
|
"VertexList and edgeList do not correspond to the same path (cardinality of vertexList +1 " . |
|
67
|
|
|
"must equal the cardinality of the edgeList)" |
|
68
|
|
|
); |
|
69
|
|
|
} |
|
70
|
|
|
|
|
71
|
18 |
|
$this->graph = $graph; |
|
72
|
18 |
|
$this->startVertex = $startVertex; |
|
73
|
18 |
|
$this->endVertex = $endVertex; |
|
74
|
18 |
|
$this->weight = $weight; |
|
75
|
18 |
|
$this->vertexList = $vertexList; |
|
76
|
18 |
|
$this->edgeList = $edgeList; |
|
77
|
18 |
|
$this->hash = $this->isEmpty() ? 1 : uniqid('', true); |
|
78
|
18 |
|
} |
|
79
|
|
|
|
|
80
|
|
|
/** |
|
81
|
|
|
* Get the edges making up the path |
|
82
|
|
|
* |
|
83
|
|
|
* @return array |
|
84
|
|
|
*/ |
|
85
|
8 |
|
public function getEdgeList(): array |
|
86
|
|
|
{ |
|
87
|
8 |
|
return !is_null($this->edgeList) ? $this->edgeList : parent::getEdgeList(); |
|
|
|
|
|
|
88
|
|
|
} |
|
89
|
|
|
|
|
90
|
|
|
/** |
|
91
|
|
|
* Get the vertices making up the path |
|
92
|
|
|
* |
|
93
|
|
|
* @return array |
|
94
|
|
|
*/ |
|
95
|
6 |
|
public function getVertexList(): array |
|
96
|
|
|
{ |
|
97
|
6 |
|
return !is_null($this->vertexList) ? $this->vertexList : parent::getVertexList(); |
|
|
|
|
|
|
98
|
|
|
} |
|
99
|
|
|
|
|
100
|
|
|
/** |
|
101
|
|
|
* Get the length of the path |
|
102
|
|
|
* |
|
103
|
|
|
* @return int |
|
104
|
|
|
*/ |
|
105
|
1 |
|
public function getLength(): int |
|
106
|
|
|
{ |
|
107
|
1 |
|
if (!is_null($this->edgeList)) { |
|
|
|
|
|
|
108
|
1 |
|
return count($this->edgeList); |
|
109
|
|
|
} |
|
110
|
|
|
|
|
111
|
|
|
if (!is_null($this->vertexList)) { |
|
112
|
|
|
return count($this->vertexList) - 1; |
|
113
|
|
|
} |
|
114
|
|
|
|
|
115
|
|
|
return 0; |
|
116
|
|
|
} |
|
117
|
|
|
|
|
118
|
|
|
/** |
|
119
|
|
|
* Reverse the direction of the walk |
|
120
|
|
|
* |
|
121
|
|
|
* @return GraphPathInterface |
|
122
|
|
|
* |
|
123
|
|
|
* @throws InvalidArgumentException |
|
124
|
|
|
*/ |
|
125
|
3 |
|
public function reverse(): GraphPathInterface |
|
126
|
|
|
{ |
|
127
|
3 |
|
$revVertexList = null; |
|
128
|
3 |
|
$revEdgeList = null; |
|
129
|
3 |
|
$revWeight = 0; |
|
130
|
|
|
|
|
131
|
3 |
|
if (!empty($this->vertexList)) { |
|
132
|
3 |
|
$revVertexList = array_reverse($this->vertexList); |
|
133
|
3 |
|
if ($this->graph->getType()->isUndirected()) { |
|
134
|
1 |
|
$revWeight = $this->weight; |
|
135
|
|
|
} |
|
136
|
|
|
|
|
137
|
|
|
// Check validity of the path. |
|
138
|
3 |
|
if (!$this->graph->getType()->isUndirected() && empty($this->edgeList)) { |
|
139
|
2 |
|
for ($i = 0; $i < count($revVertexList) - 1; $i += 1) { |
|
140
|
2 |
|
$sourceVertex = $revVertexList[$i]; |
|
141
|
2 |
|
$targetVertex = $revVertexList[$i + 1]; |
|
142
|
2 |
|
$edge = $this->graph->getEdge($sourceVertex, $targetVertex); |
|
143
|
2 |
|
if (is_null($edge)) { |
|
144
|
1 |
|
throw new InvalidArgumentException( |
|
145
|
|
|
"this walk cannot be reversed. The graph does not contain a reverse arc for arc " |
|
146
|
1 |
|
. (string) $this->graph->getEdge($targetVertex, $sourceVertex) |
|
147
|
|
|
); |
|
148
|
|
|
} else { |
|
149
|
1 |
|
$revWeight += $this->graph->getEdgeWeight($edge); |
|
150
|
|
|
} |
|
151
|
|
|
} |
|
152
|
|
|
} |
|
153
|
|
|
} |
|
154
|
|
|
|
|
155
|
2 |
|
if (!empty($this->edgeList)) { |
|
156
|
1 |
|
if ($this->graph->getType()->isUndirected()) { |
|
157
|
1 |
|
$revEdgeList = array_reverse($this->edgeList); |
|
158
|
1 |
|
$revWeight = $this->weight; |
|
159
|
|
|
} else { |
|
160
|
|
|
$revEdgeList = []; |
|
161
|
|
|
$edgeIterator = (new ArrayObject(array_reverse($this->edgeList)))->getIterator(); |
|
162
|
|
|
while ($edgeIterator->valid()) { |
|
163
|
|
|
$edge = $edgeIterator->current(); |
|
164
|
|
|
$sourceVertex = $this->graph->getEdgeSource($edge); |
|
165
|
|
|
$targetVertex = $this->graph->getEdgeTarget($edge); |
|
166
|
|
|
$revEdge = $this->graph->getEdge($targetVertex, $sourceVertex); |
|
167
|
|
|
if (is_null($revEdge)) { |
|
168
|
|
|
throw new InvalidArgumentException( |
|
169
|
|
|
"this walk cannot be reversed. The graph does not contain a reverse arc for arc " . |
|
170
|
|
|
(string) $edge |
|
171
|
|
|
); |
|
172
|
|
|
} |
|
173
|
|
|
$revEdgeList[] = $revEdge; |
|
174
|
|
|
$revWeight += $this->graph->getEdgeWeight($revEdge); |
|
175
|
|
|
$edgeIterator->next(); |
|
176
|
|
|
} |
|
177
|
|
|
} |
|
178
|
|
|
} |
|
179
|
2 |
|
$gw = new GraphWalk( |
|
180
|
2 |
|
$this->graph, |
|
181
|
2 |
|
$this->endVertex, |
|
182
|
2 |
|
$this->startVertex, |
|
183
|
2 |
|
$revVertexList, |
|
184
|
2 |
|
$revEdgeList, |
|
185
|
2 |
|
$revWeight |
|
186
|
|
|
); |
|
187
|
2 |
|
return $gw; |
|
188
|
|
|
} |
|
189
|
|
|
|
|
190
|
|
|
/** |
|
191
|
|
|
* Concatenate the specified GraphWalk to the end of this GraphWalk |
|
192
|
|
|
* |
|
193
|
|
|
* @param GraphPathInterface $extension - the graph walk |
|
194
|
|
|
* |
|
195
|
|
|
* @return GraphPathInterface |
|
196
|
|
|
*/ |
|
197
|
4 |
|
public function concat(GraphPathInterface $extension): GraphPathInterface |
|
198
|
|
|
{ |
|
199
|
4 |
|
if ($this->isEmpty()) { |
|
200
|
1 |
|
throw new InvalidArgumentException("An empty path cannot be extended"); |
|
201
|
|
|
} |
|
202
|
3 |
|
if (!$this->endVertex->equals($extension->getStartVertex())) { |
|
203
|
1 |
|
throw new InvalidArgumentException( |
|
204
|
|
|
"This path can only be extended by another path if the end vertex of the " . |
|
205
|
1 |
|
"orginal path and the start vertex of the extension are equal." |
|
206
|
|
|
); |
|
207
|
|
|
} |
|
208
|
|
|
|
|
209
|
2 |
|
$concatVertexList = null; |
|
210
|
2 |
|
$concatEdgeList = null; |
|
211
|
|
|
|
|
212
|
2 |
|
if (!is_null($this->vertexList)) { |
|
|
|
|
|
|
213
|
2 |
|
$concatVertexList = array_merge($this->vertexList, array_slice($extension->getVertexList() ?? [], 1)); |
|
214
|
|
|
} |
|
215
|
|
|
|
|
216
|
2 |
|
if (!is_null($this->edgeList)) { |
|
|
|
|
|
|
217
|
|
|
$concatEdgeList = array_merge($this->edgeList, array_slice($extension->getEdgeList() ?? [], 1)); |
|
218
|
|
|
} |
|
219
|
|
|
|
|
220
|
2 |
|
$gw = new GraphWalk( |
|
221
|
2 |
|
$this->graph, |
|
222
|
2 |
|
$this->startVertex, |
|
223
|
2 |
|
$extension->getEndVertex(), |
|
224
|
2 |
|
$concatVertexList, |
|
225
|
2 |
|
$concatEdgeList, |
|
226
|
2 |
|
$this->weight + $extension->getWeight() |
|
227
|
|
|
); |
|
228
|
2 |
|
return $gw; |
|
229
|
|
|
} |
|
230
|
|
|
|
|
231
|
|
|
/** |
|
232
|
|
|
* Verify that the given path is feasible |
|
233
|
|
|
* |
|
234
|
|
|
* @return bool |
|
235
|
|
|
* |
|
236
|
|
|
* @throws InvalidArgumentException |
|
237
|
|
|
*/ |
|
238
|
8 |
|
public function verify(): bool |
|
239
|
|
|
{ |
|
240
|
8 |
|
if ($this->isEmpty()) { |
|
241
|
1 |
|
return true; |
|
242
|
|
|
} |
|
243
|
|
|
|
|
244
|
8 |
|
if (!empty($this->vertexList)) { |
|
245
|
7 |
|
if (!$this->startVertex->equals($this->vertexList[0])) { |
|
246
|
|
|
throw new InvalidArgumentException( |
|
247
|
|
|
"The start vertex must be the first vertex in the vertex list" |
|
248
|
|
|
); |
|
249
|
|
|
} |
|
250
|
7 |
|
if (!$this->endVertex->equals($this->vertexList[count($this->vertexList) - 1])) { |
|
251
|
|
|
throw new InvalidArgumentException( |
|
252
|
|
|
"The end vertex must be the last vertex in the vertex list" |
|
253
|
|
|
); |
|
254
|
|
|
} |
|
255
|
|
|
// All vertices and edges in the path must be contained in the graph |
|
256
|
7 |
|
if (count(array_diff($this->vertexList, $this->graph->vertexSet()->getArrayCopy())) >= 1) { |
|
257
|
|
|
throw new InvalidArgumentException( |
|
258
|
|
|
"Not all vertices in the path are contained in the graph" |
|
259
|
|
|
); |
|
260
|
|
|
} |
|
261
|
|
|
|
|
262
|
7 |
|
if (empty($this->edgeList)) { |
|
263
|
|
|
// Verify sequence |
|
264
|
7 |
|
$vertexIterator = (new ArrayObject($this->vertexList))->getIterator(); |
|
265
|
7 |
|
$sourceVertex = $vertexIterator->current(); |
|
266
|
7 |
|
$vertexIterator->next(); |
|
267
|
7 |
|
while ($vertexIterator->valid()) { |
|
268
|
6 |
|
$targetVertex = $vertexIterator->current(); |
|
269
|
6 |
|
if (is_null($this->graph->getEdge($sourceVertex, $targetVertex))) { |
|
270
|
2 |
|
throw new InvalidArgumentException( |
|
271
|
|
|
"The vertexList does not constitute to a feasible path. Edge (" . |
|
272
|
2 |
|
(string) $sourceVertex . "," . (string) $targetVertex . ") does not exist in the graph." |
|
273
|
|
|
); |
|
274
|
|
|
} |
|
275
|
5 |
|
$vertexIterator->next(); |
|
276
|
5 |
|
$sourceVertex = $targetVertex; |
|
277
|
|
|
} |
|
278
|
|
|
} |
|
279
|
|
|
} |
|
280
|
|
|
|
|
281
|
6 |
|
if (!empty($this->edgeList)) { |
|
282
|
2 |
|
if (!GraphUtils::testIncidence($this->graph, $this->edgeList[0], $this->startVertex)) { |
|
283
|
|
|
throw new InvalidArgumentException( |
|
284
|
|
|
"The first edge in the edge list must leave the start vertex" |
|
285
|
|
|
); |
|
286
|
|
|
} |
|
287
|
2 |
|
if (count(array_diff($this->edgeList, $this->graph->edgeSet()->getArrayCopy())) >= 1) { |
|
288
|
|
|
throw new InvalidArgumentException( |
|
289
|
|
|
"Not all edges in the path are contained in the graph" |
|
290
|
|
|
); |
|
291
|
|
|
} |
|
292
|
|
|
|
|
293
|
2 |
|
if (empty($this->vertexList)) { |
|
294
|
2 |
|
$vertex = $this->startVertex; |
|
295
|
2 |
|
foreach ($this->edgeList as $edge) { |
|
296
|
2 |
|
if (!GraphUtils::testIncidence($this->graph, $edge, $vertex)) { |
|
297
|
1 |
|
throw new InvalidArgumentException( |
|
298
|
|
|
"The edgeList does not constitute to a feasible path. Conflicting edge: " . |
|
299
|
1 |
|
(string) $edge |
|
300
|
|
|
); |
|
301
|
|
|
} |
|
302
|
2 |
|
$vertex = GraphUtils::getOppositeVertex($this->graph, $edge, $vertex); |
|
303
|
|
|
} |
|
304
|
1 |
|
if (!$vertex->equals($this->endVertex)) { |
|
305
|
|
|
throw new InvalidArgumentException( |
|
306
|
|
|
"The path defined by the edgeList does not end in the endVertex." |
|
307
|
|
|
); |
|
308
|
|
|
} |
|
309
|
|
|
} |
|
310
|
|
|
} |
|
311
|
|
|
|
|
312
|
5 |
|
if (!empty($this->vertexList) && !empty($this->edgeList)) { |
|
313
|
|
|
// Verify that the path is an actual path in the graph |
|
314
|
|
|
if (count($this->edgeList) + 1 != count($this->vertexList)) { |
|
315
|
|
|
throw new InvalidArgumentException( |
|
316
|
|
|
"VertexList and edgeList do not correspond to the same path (cardinality of " . |
|
317
|
|
|
"vertexList +1 must equal the cardinality of the edgeList)" |
|
318
|
|
|
); |
|
319
|
|
|
} |
|
320
|
|
|
|
|
321
|
|
|
$len = count($this->vertexList) - 1; |
|
322
|
|
|
$edges = $this->getEdgeList(); |
|
323
|
|
|
for ($i = 0; $i < $len; $i += 1) { |
|
324
|
|
|
$startVertex = $this->vertexList[$i]; |
|
325
|
|
|
$endVertex = $this->vertexList[$i + 1]; |
|
326
|
|
|
$edge = $edges[$i]; |
|
327
|
|
|
|
|
328
|
|
|
if ($this->graph->getType()->isDirected()) { |
|
329
|
|
|
if ( |
|
330
|
|
|
!$this->graph->getEdgeSource($edge)->equals($startVertex) |
|
331
|
|
|
|| !$this->graph->getEdgeTarget($edge)->equals($endVertex) |
|
332
|
|
|
) { |
|
333
|
|
|
throw new InvalidArgumentException( |
|
334
|
|
|
"VertexList and edgeList do not form a feasible path" |
|
335
|
|
|
); |
|
336
|
|
|
} |
|
337
|
|
|
} else { |
|
338
|
|
|
if ( |
|
339
|
|
|
!GraphUtils::testIncidence($this->graph, $edge, $startVertex) |
|
340
|
|
|
|| !GraphUtils::getOppositeVertex($this->graph, $edge, $startVertex)->equals($endVertex) |
|
341
|
|
|
) { |
|
342
|
|
|
throw new InvalidArgumentException( |
|
343
|
|
|
"VertexList and edgeList do not form a feasible path" |
|
344
|
|
|
); |
|
345
|
|
|
} |
|
346
|
|
|
} |
|
347
|
|
|
} |
|
348
|
|
|
} |
|
349
|
|
|
|
|
350
|
5 |
|
return true; |
|
351
|
|
|
} |
|
352
|
|
|
|
|
353
|
|
|
/** |
|
354
|
|
|
* Create an empty walk |
|
355
|
|
|
* |
|
356
|
|
|
* @param GraphInterface $graph - the graph |
|
357
|
|
|
* |
|
358
|
|
|
* @return GraphPathInterface |
|
359
|
|
|
*/ |
|
360
|
2 |
|
public static function emptyWalk(GraphInterface $graph): GraphPathInterface |
|
361
|
|
|
{ |
|
362
|
2 |
|
return new GraphWalk($graph, null, null, [], [], 0.0); |
|
363
|
|
|
} |
|
364
|
|
|
|
|
365
|
|
|
/** |
|
366
|
|
|
* Create a walk consisting of one vertex |
|
367
|
|
|
* |
|
368
|
|
|
* @param GraphInterface $graph - the graph |
|
369
|
|
|
* @param VertexInterface $vertex - the vertex |
|
370
|
|
|
* @param float $weight - the weight |
|
371
|
|
|
* |
|
372
|
|
|
* @return GraphPathInterface |
|
373
|
|
|
*/ |
|
374
|
6 |
|
public static function singletonWalk( |
|
375
|
|
|
GraphInterface $graph, |
|
376
|
|
|
VertexInterface $vertex, |
|
377
|
|
|
?float $weight = 0.0 |
|
378
|
|
|
): GraphPathInterface { |
|
379
|
6 |
|
return new GraphWalk( |
|
380
|
6 |
|
$graph, |
|
381
|
6 |
|
$vertex, |
|
382
|
6 |
|
$vertex, |
|
383
|
6 |
|
[$vertex], |
|
384
|
6 |
|
[], |
|
385
|
6 |
|
$weight |
|
386
|
|
|
); |
|
387
|
|
|
} |
|
388
|
|
|
|
|
389
|
|
|
/** |
|
390
|
|
|
* Get the path string representation |
|
391
|
|
|
* |
|
392
|
|
|
* @return string |
|
393
|
|
|
*/ |
|
394
|
|
|
public function __toString(): string |
|
395
|
|
|
{ |
|
396
|
|
|
if (!empty($this->vertexList)) { |
|
397
|
|
|
return implode('', array_map(function ($vertex) { |
|
398
|
|
|
return (string) $vertex; |
|
399
|
|
|
}, $this->vertexList)); |
|
400
|
|
|
} |
|
401
|
|
|
|
|
402
|
|
|
if (!empty($this->edgeList)) { |
|
403
|
|
|
return implode('', array_map(function ($edge) { |
|
404
|
|
|
return (string) $edge; |
|
405
|
|
|
}, $this->edgeList)); |
|
406
|
|
|
} |
|
407
|
|
|
|
|
408
|
|
|
return ''; |
|
409
|
|
|
} |
|
410
|
|
|
|
|
411
|
|
|
/** |
|
412
|
|
|
* Check if two walks are equal |
|
413
|
|
|
* |
|
414
|
|
|
* @param GraphPathInterface $other - the other walk |
|
415
|
|
|
*/ |
|
416
|
4 |
|
public function equals(GraphPathInterface $other): bool |
|
417
|
|
|
{ |
|
418
|
4 |
|
if ($this->hash == $other->getHash()) { |
|
|
|
|
|
|
419
|
|
|
return true; |
|
420
|
|
|
} |
|
421
|
|
|
|
|
422
|
4 |
|
if ($this->isEmpty() && $other->isEmpty()) { |
|
|
|
|
|
|
423
|
|
|
return true; |
|
424
|
|
|
} |
|
425
|
|
|
|
|
426
|
4 |
|
if ($this->isEmpty()) { |
|
427
|
|
|
return false; |
|
428
|
|
|
} |
|
429
|
|
|
|
|
430
|
|
|
if ( |
|
431
|
4 |
|
!$this->startVertex->equals($other->getStartVertex()) |
|
432
|
4 |
|
|| !$this->endVertex->equals($other->getEndVertex()) |
|
433
|
|
|
) { |
|
434
|
|
|
return false; |
|
435
|
|
|
} |
|
436
|
|
|
|
|
437
|
4 |
|
if (empty($this->edgeList) && !$other->getGraph()->getType()->isAllowingMultipleEdges()) { |
|
438
|
2 |
|
return $this->vertexList == $other->getVertexList(); |
|
439
|
|
|
} |
|
440
|
2 |
|
return $this->edgeList == $other->getEdgeList(); |
|
441
|
|
|
} |
|
442
|
|
|
|
|
443
|
|
|
/** |
|
444
|
|
|
* Get the walk hash |
|
445
|
|
|
* |
|
446
|
|
|
* @return string |
|
447
|
|
|
*/ |
|
448
|
4 |
|
public function getHash(): string |
|
449
|
|
|
{ |
|
450
|
4 |
|
return $this->hash; |
|
451
|
|
|
} |
|
452
|
|
|
|
|
453
|
|
|
/** |
|
454
|
|
|
* Check if the path is empty |
|
455
|
|
|
* |
|
456
|
|
|
* @return bool |
|
457
|
|
|
*/ |
|
458
|
18 |
|
public function isEmpty(): bool |
|
459
|
|
|
{ |
|
460
|
18 |
|
return is_null($this->startVertex); |
|
461
|
|
|
} |
|
462
|
|
|
} |
|
463
|
|
|
|