1
|
|
|
<?php |
2
|
|
|
|
3
|
|
|
declare(strict_types=1); |
4
|
|
|
|
5
|
|
|
namespace KDTree\Structure; |
6
|
|
|
|
7
|
|
|
use KDTree\Exceptions\{InvalidDimensionsCount, InvalidPointProvided, PointAlreadyExists, PointNotFound}; |
8
|
|
|
use KDTree\Interfaces\{KDTreeInterface, NodeInterface, PointInterface, PointsListInterface}; |
9
|
|
|
|
10
|
|
|
/** |
11
|
|
|
* Class KDTree |
12
|
|
|
* |
13
|
|
|
* @package KDTree\Structure |
14
|
|
|
*/ |
15
|
|
|
final class KDTree implements KDTreeInterface |
16
|
|
|
{ |
17
|
|
|
/** |
18
|
|
|
* @var NodeInterface|null |
19
|
|
|
*/ |
20
|
|
|
private $root; |
21
|
|
|
|
22
|
|
|
/** |
23
|
|
|
* @var int |
24
|
|
|
*/ |
25
|
|
|
private $dimensions; |
26
|
|
|
|
27
|
|
|
/** |
28
|
|
|
* @var int |
29
|
|
|
*/ |
30
|
|
|
private $size = 0; |
31
|
|
|
|
32
|
|
|
/** |
33
|
|
|
* @param int $dimensions |
34
|
|
|
* |
35
|
|
|
* @throws InvalidDimensionsCount |
36
|
|
|
*/ |
37
|
|
|
public function __construct(int $dimensions) |
38
|
|
|
{ |
39
|
|
|
if ($dimensions < 1) { |
40
|
|
|
throw new InvalidDimensionsCount(); |
41
|
|
|
} |
42
|
|
|
$this->dimensions = $dimensions; |
43
|
|
|
} |
44
|
|
|
|
45
|
|
|
/** |
46
|
|
|
* @inheritDoc |
47
|
|
|
*/ |
48
|
|
|
public function isEmpty(): bool |
49
|
|
|
{ |
50
|
|
|
return null === $this->root; |
51
|
|
|
} |
52
|
|
|
|
53
|
|
|
/** |
54
|
|
|
* @inheritDoc |
55
|
|
|
*/ |
56
|
|
|
public function size(): int |
57
|
|
|
{ |
58
|
|
|
return $this->size; |
59
|
|
|
} |
60
|
|
|
|
61
|
|
|
/** |
62
|
|
|
* @param PointInterface $point |
63
|
|
|
* |
64
|
|
|
* @return KDTreeInterface |
65
|
|
|
* @throws PointAlreadyExists|InvalidPointProvided |
66
|
|
|
*/ |
67
|
|
|
public function put(PointInterface $point): KDTreeInterface |
68
|
|
|
{ |
69
|
|
|
$this->root = $this->insertNode($this->root, $point, 0); |
70
|
|
|
++$this->size; |
71
|
|
|
|
72
|
|
|
return $this; |
73
|
|
|
} |
74
|
|
|
|
75
|
|
|
/** |
76
|
|
|
* @inheritDoc |
77
|
|
|
*/ |
78
|
|
|
public function contains(PointInterface $point): bool |
79
|
|
|
{ |
80
|
|
|
return $this->findPoint($point, $this->root, 0); |
81
|
|
|
} |
82
|
|
|
|
83
|
|
|
/** |
84
|
|
|
* @return PointsListInterface<PointInterface> |
85
|
|
|
* @throws InvalidDimensionsCount |
86
|
|
|
*/ |
87
|
|
|
public function points(): PointsListInterface |
88
|
|
|
{ |
89
|
|
|
return $this->getAllPoints($this->root, new PointsList($this->dimensions)); |
90
|
|
|
} |
91
|
|
|
|
92
|
|
|
/** |
93
|
|
|
* @param PointInterface $point |
94
|
|
|
* |
95
|
|
|
* @return KDTreeInterface |
96
|
|
|
* @throws PointNotFound |
97
|
|
|
*/ |
98
|
|
|
public function delete(PointInterface $point): KDTreeInterface |
99
|
|
|
{ |
100
|
|
|
$this->root = $this->deletePoint($point, $this->root, 0); |
101
|
|
|
--$this->size; |
102
|
|
|
|
103
|
|
|
return $this; |
104
|
|
|
} |
105
|
|
|
|
106
|
|
|
/** |
107
|
|
|
* @inheritDoc |
108
|
|
|
*/ |
109
|
|
|
public function getDimensions(): int |
110
|
|
|
{ |
111
|
|
|
return $this->dimensions; |
112
|
|
|
} |
113
|
|
|
|
114
|
|
|
/** |
115
|
|
|
* @return NodeInterface|null |
116
|
|
|
*/ |
117
|
|
|
public function getRoot(): ?NodeInterface |
118
|
|
|
{ |
119
|
|
|
return $this->root; |
120
|
|
|
} |
121
|
|
|
|
122
|
|
|
/** |
123
|
|
|
* @param NodeInterface|null $node |
124
|
|
|
* @param PointInterface $point |
125
|
|
|
* @param int $cuttingDimension |
126
|
|
|
* |
127
|
|
|
* @return NodeInterface |
128
|
|
|
* @throws PointAlreadyExists |
129
|
|
|
*/ |
130
|
|
|
private function insertNode(?NodeInterface $node, PointInterface $point, int $cuttingDimension): NodeInterface |
131
|
|
|
{ |
132
|
|
|
if (null === $node) { |
133
|
|
|
return new Node($point); |
134
|
|
|
} |
135
|
|
|
|
136
|
|
|
if ($node->getPoint()->equals($point)) { |
137
|
|
|
throw new PointAlreadyExists(); |
138
|
|
|
} |
139
|
|
|
|
140
|
|
|
$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
141
|
|
|
|
142
|
|
|
if ($point->getDAxis($cuttingDimension) < $node->getPoint()->getDAxis($cuttingDimension)) { |
143
|
|
|
$node->setLeft($this->insertNode($node->getLeft(), $point, $nextDimension)); |
144
|
|
|
} else { |
145
|
|
|
$node->setRight($this->insertNode($node->getRight(), $point, $nextDimension)); |
146
|
|
|
} |
147
|
|
|
|
148
|
|
|
return $node; |
149
|
|
|
} |
150
|
|
|
|
151
|
|
|
/** |
152
|
|
|
* @param NodeInterface $node |
153
|
|
|
* @param int $dimension |
154
|
|
|
* @param int $cuttingDimension |
155
|
|
|
* |
156
|
|
|
* @return PointInterface |
157
|
|
|
*/ |
158
|
|
|
private function findMin(NodeInterface $node, int $dimension, int $cuttingDimension): PointInterface |
159
|
|
|
{ |
160
|
|
|
$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
161
|
|
|
if ($cuttingDimension === $dimension) { |
162
|
|
|
if (null === $node->getLeft()) { |
163
|
|
|
return $node->getPoint(); |
164
|
|
|
} |
165
|
|
|
|
166
|
|
|
return $this->findMin( |
167
|
|
|
$node->getLeft(), |
168
|
|
|
$dimension, |
169
|
|
|
$nextDimension |
170
|
|
|
); |
171
|
|
|
} |
172
|
|
|
|
173
|
|
|
return $this->chooseMin( |
174
|
|
|
$dimension, |
175
|
|
|
$nextDimension, |
176
|
|
|
$node, |
177
|
|
|
$node->getLeft(), |
178
|
|
|
$node->getRight() |
179
|
|
|
); |
180
|
|
|
} |
181
|
|
|
|
182
|
|
|
/** |
183
|
|
|
* @param PointInterface|null $point |
184
|
|
|
* @param int $dimension |
185
|
|
|
* |
186
|
|
|
* @return float|null |
187
|
|
|
*/ |
188
|
|
|
private function getPointAxis(?PointInterface $point, int $dimension): ?float |
189
|
|
|
{ |
190
|
|
|
return null === $point ? null : $point->getDAxis($dimension); |
191
|
|
|
} |
192
|
|
|
|
193
|
|
|
/** |
194
|
|
|
* @param PointInterface $point |
195
|
|
|
* @param NodeInterface|null $node |
196
|
|
|
* @param int $cuttingDimension |
197
|
|
|
* |
198
|
|
|
* @return NodeInterface|null |
199
|
|
|
* @throws PointNotFound |
200
|
|
|
*/ |
201
|
|
|
private function deletePoint(PointInterface $point, ?NodeInterface $node, int $cuttingDimension): ?NodeInterface |
202
|
|
|
{ |
203
|
|
|
if (null === $node) { |
204
|
|
|
throw new PointNotFound(); |
205
|
|
|
} |
206
|
|
|
|
207
|
|
|
$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
208
|
|
|
|
209
|
|
|
if ($node->getPoint()->equals($point)) { |
210
|
|
|
if (null !== $node->getRight()) { |
211
|
|
|
$this->rebuildFoundNode($node, $node->getRight(), $cuttingDimension); |
212
|
|
|
} elseif (null !== $node->getLeft()) { |
213
|
|
|
$this->rebuildFoundNode($node, $node->getLeft(), $cuttingDimension); |
214
|
|
|
} else { |
215
|
|
|
$node = null; |
216
|
|
|
} |
217
|
|
|
} elseif ($point->getDAxis($cuttingDimension) < $node->getPoint()->getDAxis($cuttingDimension)) { |
218
|
|
|
$node->setLeft($this->deletePoint($point, $node->getLeft(), $nextDimension)); |
219
|
|
|
} else { |
220
|
|
|
$node->setRight($this->deletePoint($point, $node->getRight(), $nextDimension)); |
221
|
|
|
} |
222
|
|
|
|
223
|
|
|
return $node; |
224
|
|
|
} |
225
|
|
|
|
226
|
|
|
/** |
227
|
|
|
* @param NodeInterface $node |
228
|
|
|
* @param NodeInterface $nextNode |
229
|
|
|
* @param int $cuttingDimension |
230
|
|
|
* |
231
|
|
|
* @throws PointNotFound |
232
|
|
|
*/ |
233
|
|
|
private function rebuildFoundNode(NodeInterface $node, NodeInterface $nextNode, int $cuttingDimension): void |
234
|
|
|
{ |
235
|
|
|
$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
236
|
|
|
$point = $this->findMin($nextNode, $cuttingDimension, $nextDimension); |
237
|
|
|
$node->setPoint($point); |
238
|
|
|
$node->setRight($this->deletePoint($point, $nextNode, $nextDimension)); |
239
|
|
|
} |
240
|
|
|
|
241
|
|
|
/** |
242
|
|
|
* @param PointInterface $point |
243
|
|
|
* @param NodeInterface|null $node |
244
|
|
|
* @param int $cuttingDimension |
245
|
|
|
* |
246
|
|
|
* @return bool |
247
|
|
|
*/ |
248
|
|
|
private function findPoint(PointInterface $point, ?NodeInterface $node, int $cuttingDimension): bool |
249
|
|
|
{ |
250
|
|
|
if (null === $node) { |
251
|
|
|
return false; |
252
|
|
|
} |
253
|
|
|
|
254
|
|
|
$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
255
|
|
|
|
256
|
|
|
if ($node->getPoint()->equals($point)) { |
257
|
|
|
return true; |
258
|
|
|
} |
259
|
|
|
|
260
|
|
|
if ($point->getDAxis($cuttingDimension) < $node->getPoint()->getDAxis($cuttingDimension)) { |
261
|
|
|
return $this->findPoint($point, $node->getLeft(), $nextDimension); |
262
|
|
|
} |
263
|
|
|
|
264
|
|
|
return $this->findPoint($point, $node->getRight(), $nextDimension); |
265
|
|
|
} |
266
|
|
|
|
267
|
|
|
/** |
268
|
|
|
* @param NodeInterface|null $node |
269
|
|
|
* @param PointsListInterface<PointInterface> $pointsList |
270
|
|
|
* |
271
|
|
|
* @return PointsListInterface<PointInterface> |
272
|
|
|
*/ |
273
|
|
|
private function getAllPoints(?NodeInterface $node, PointsListInterface $pointsList): PointsListInterface |
274
|
|
|
{ |
275
|
|
|
if (null === $node) { |
276
|
|
|
return $pointsList; |
277
|
|
|
} |
278
|
|
|
|
279
|
|
|
$pointsList->addPoint($node->getPoint()); |
280
|
|
|
|
281
|
|
|
if (null !== $node->getLeft()) { |
282
|
|
|
$this->getAllPoints($node->getLeft(), $pointsList); |
283
|
|
|
} |
284
|
|
|
|
285
|
|
|
if (null !== $node->getRight()) { |
286
|
|
|
$this->getAllPoints($node->getRight(), $pointsList); |
287
|
|
|
} |
288
|
|
|
|
289
|
|
|
return $pointsList; |
290
|
|
|
} |
291
|
|
|
|
292
|
|
|
/** |
293
|
|
|
* @param int $dimension |
294
|
|
|
* @param int $nextDimension |
295
|
|
|
* @param NodeInterface $currentNode |
296
|
|
|
* @param NodeInterface|null ...$nodes |
297
|
|
|
* |
298
|
|
|
* @return PointInterface |
299
|
|
|
*/ |
300
|
|
|
private function chooseMin( |
301
|
|
|
int $dimension, |
302
|
|
|
int $nextDimension, |
303
|
|
|
NodeInterface $currentNode, |
304
|
|
|
?NodeInterface ...$nodes |
305
|
|
|
): PointInterface { |
306
|
|
|
$nodes = array_filter($nodes); |
307
|
|
|
|
308
|
|
|
$minAxis = $currentNode->getPoint()->getDAxis($dimension); |
309
|
|
|
$minPoint = $currentNode->getPoint(); |
310
|
|
|
|
311
|
|
|
foreach ($nodes as $node) { |
312
|
|
|
$currentPoint = $this->findMin($node, $dimension, $nextDimension); |
313
|
|
|
$currentAxis = $this->getPointAxis($currentPoint, $dimension); |
314
|
|
|
if ($currentAxis < $minAxis) { |
315
|
|
|
$minPoint = $currentPoint; |
316
|
|
|
$minAxis = $currentAxis; |
317
|
|
|
} |
318
|
|
|
} |
319
|
|
|
|
320
|
|
|
return $minPoint; |
321
|
|
|
} |
322
|
|
|
} |
323
|
|
|
|