1
|
|
|
<?php |
2
|
|
|
|
3
|
|
|
declare(strict_types=1); |
4
|
|
|
|
5
|
|
|
namespace Np; |
6
|
|
|
|
7
|
|
|
use Np\core\{ |
8
|
|
|
nd, |
9
|
|
|
blas, |
10
|
|
|
lapack |
11
|
|
|
}; |
12
|
|
|
use Np\exceptions\{ |
13
|
|
|
invalidArgumentException, |
14
|
|
|
}; |
15
|
|
|
|
16
|
|
|
/** A fast lite memory efficient Scientific Computing in php |
17
|
|
|
* Vector (rank-1) |
18
|
|
|
* |
19
|
|
|
* @package NumPhp |
20
|
|
|
* @version V0.0.alpha |
21
|
|
|
* @category Php Scientific Library |
22
|
|
|
* @author ghost (Shubham Chaudhary) |
23
|
|
|
* @email [email protected] |
24
|
|
|
* @copyright (c) 2020-2021, Shubham Chaudhary |
25
|
|
|
* |
26
|
|
|
*/ |
27
|
|
|
class vector extends nd { |
28
|
|
|
|
29
|
|
|
/** |
30
|
|
|
* Factory method to build a new vector. |
31
|
|
|
* |
32
|
|
|
* @param int $col |
33
|
|
|
* @param int $dtype |
34
|
|
|
* @return vector |
35
|
|
|
*/ |
36
|
|
|
public static function factory(int $col, int $dtype = self::FLOAT): vector { |
37
|
|
|
return new self($col, $dtype); |
38
|
|
|
} |
39
|
|
|
|
40
|
|
|
/** |
41
|
|
|
* Build a new vector from a php array. |
42
|
|
|
* |
43
|
|
|
* @param array $data |
44
|
|
|
* @param int $dtype |
45
|
|
|
* @return vector |
46
|
|
|
*/ |
47
|
|
|
public static function ar(array $data, int $dtype = self::FLOAT): vector { |
48
|
|
|
if (is_array($data) && !is_array($data[0])) { |
49
|
|
|
$ar = self::factory(count($data), $dtype); |
50
|
|
|
$ar->setData($data); |
51
|
|
|
return $ar; |
52
|
|
|
} else { |
53
|
|
|
self::_err('data must be of same dimensions'); |
54
|
|
|
} |
55
|
|
|
} |
56
|
|
|
|
57
|
|
|
/** |
58
|
|
|
* Return vector with random values |
59
|
|
|
* @param int $col |
60
|
|
|
* @param int $dtype |
61
|
|
|
* @return vector |
62
|
|
|
*/ |
63
|
|
|
public static function randn(int $col, int $dtype = self::FLOAT): vector { |
64
|
|
|
$ar = self::factory($col, $dtype); |
65
|
|
|
$max = getrandmax(); |
66
|
|
|
for ($i = 0; $i < $ar->col; ++$i) { |
67
|
|
|
$ar->data[$i] = rand() / $max; |
68
|
|
|
} |
69
|
|
|
return $ar; |
70
|
|
|
} |
71
|
|
|
|
72
|
|
|
/** |
73
|
|
|
* Return vector with uniform values |
74
|
|
|
* @param int $col |
75
|
|
|
* @param int $dtype |
76
|
|
|
* @return vector |
77
|
|
|
*/ |
78
|
|
|
public static function uniform(int $col, int $dtype = self::FLOAT): vector { |
79
|
|
|
$ar = self::factory($col, $dtype); |
80
|
|
|
$max = getrandmax(); |
81
|
|
|
for ($i = 0; $i < $col; ++$i) { |
82
|
|
|
$ar->data[$i] = rand(-$max, $max) / $max; |
83
|
|
|
} |
84
|
|
|
return $ar; |
85
|
|
|
} |
86
|
|
|
|
87
|
|
|
/** |
88
|
|
|
* Build a vector of zeros with n elements. |
89
|
|
|
* |
90
|
|
|
* @param int $col |
91
|
|
|
* @param int $dtype |
92
|
|
|
* @return vector |
93
|
|
|
*/ |
94
|
|
|
public static function zeros(int $col, int $dtype = self::FLOAT): vector { |
95
|
|
|
$ar = self::factory($col, $dtype); |
96
|
|
|
for ($i = 0; $i < $col; ++$i) { |
97
|
|
|
$ar->data[$i] = 0; |
98
|
|
|
} |
99
|
|
|
return $ar; |
100
|
|
|
} |
101
|
|
|
|
102
|
|
|
/** |
103
|
|
|
* create one like vector |
104
|
|
|
* |
105
|
|
|
* @param int $col |
106
|
|
|
* @return vector |
107
|
|
|
*/ |
108
|
|
|
public static function ones(int $col, int $dtype = self::FLOAT): vector { |
109
|
|
|
$ar = self::factory($col, $dtype); |
110
|
|
|
for ($i = 0; $i < $col; ++$i) { |
111
|
|
|
$ar->data[$i] = 1; |
112
|
|
|
} |
113
|
|
|
return $ar; |
114
|
|
|
} |
115
|
|
|
|
116
|
|
|
/** |
117
|
|
|
* create a null like vector |
118
|
|
|
* @param int $col |
119
|
|
|
* @return vector |
120
|
|
|
*/ |
121
|
|
|
public static function null(int $col, int $dtype = self::FLOAT): vector { |
122
|
|
|
$ar = self::factory($col, $dtype); |
123
|
|
|
for ($i = 0; $i < $col; ++$i) { |
124
|
|
|
$ar->data[$i] = null; |
125
|
|
|
} |
126
|
|
|
return $ar; |
127
|
|
|
} |
128
|
|
|
|
129
|
|
|
/** |
130
|
|
|
* create a vector with given scalar value |
131
|
|
|
* @param int $col |
132
|
|
|
* @param int|float|double $val |
133
|
|
|
* @param int $dtype |
134
|
|
|
* @return vector |
135
|
|
|
*/ |
136
|
|
|
public static function full(int $col, int|float $val, int $dtype = self::FLOAT): vector { |
137
|
|
|
$ar = self::factory($col, $dtype); |
138
|
|
|
for ($i = 0; $i < $col; ++$i) { |
139
|
|
|
$ar->data[$i] = $val; |
140
|
|
|
} |
141
|
|
|
return $ar; |
142
|
|
|
} |
143
|
|
|
|
144
|
|
|
/** |
145
|
|
|
* Return evenly spaced values within a given interval. |
146
|
|
|
* |
147
|
|
|
* @param int|float $start |
148
|
|
|
* @param int|float $end |
149
|
|
|
* @param int|float $interval |
150
|
|
|
* @param int $dtype |
151
|
|
|
* @return vector |
152
|
|
|
*/ |
153
|
|
|
public static function range(int|float $start, int|float $end, int|float $interval = 1, int $dtype = self::FLOAT): vector { |
154
|
|
|
return self::ar(range($start, $end, $interval), $dtype); |
155
|
|
|
} |
156
|
|
|
|
157
|
|
|
/** |
158
|
|
|
* Return a Gaussian random vector with mean 0 |
159
|
|
|
* and unit variance. |
160
|
|
|
* |
161
|
|
|
* @param int $n |
162
|
|
|
* @param int $dtype |
163
|
|
|
* @return self |
164
|
|
|
*/ |
165
|
|
|
public static function gaussian(int $n, int $dtype = self::FLOAT): vector { |
166
|
|
|
$max = getrandmax(); |
167
|
|
|
$a = []; |
168
|
|
|
while (count($a) < $n) { |
169
|
|
|
$r = sqrt(-2.0 * log(rand() / $max)); |
170
|
|
|
$phi = rand() / $max * (2. * M_PI); |
171
|
|
|
$a[] = $r * sin($phi); |
172
|
|
|
$a[] = $r * cos($phi); |
173
|
|
|
} |
174
|
|
|
if (count($a) > $n) { |
175
|
|
|
$a = array_slice($a, 0, $n); |
176
|
|
|
} |
177
|
|
|
return self::ar($a, $dtype); |
178
|
|
|
} |
179
|
|
|
|
180
|
|
|
/** |
181
|
|
|
* Generate a vector with n elements from a Poisson distribution. |
182
|
|
|
* |
183
|
|
|
* @param int $n |
184
|
|
|
* @param float $lambda |
185
|
|
|
* @param int $dtype |
186
|
|
|
* @return vector |
187
|
|
|
*/ |
188
|
|
|
public static function poisson(int $n, float $lambda = 1.0, int $dtype = self::FLOAT): vector { |
189
|
|
|
$max = getrandmax(); |
190
|
|
|
$l = exp(-$lambda); |
191
|
|
|
$a = new self($n, $dtype); |
192
|
|
|
for ($i = 0; $i < $n; ++$i) { |
193
|
|
|
$k = 0; |
194
|
|
|
$p = 1.0; |
195
|
|
|
while ($p > $l) { |
196
|
|
|
++$k; |
197
|
|
|
$p *= rand() / $max; |
198
|
|
|
} |
199
|
|
|
$a->data[$i] = $k - 1; |
200
|
|
|
} |
201
|
|
|
return $a; |
202
|
|
|
} |
203
|
|
|
|
204
|
|
|
/** |
205
|
|
|
* Return a vector of n evenly spaced numbers between minimum and maximum. |
206
|
|
|
* |
207
|
|
|
* @param float $min |
208
|
|
|
* @param float $max |
209
|
|
|
* @param int $n |
210
|
|
|
* @param int $dtype |
211
|
|
|
* @throws invalidArgumentException |
212
|
|
|
* @return vector |
213
|
|
|
*/ |
214
|
|
|
public static function linspace(float $min, float $max, int $n, int $dtype = self::FLOAT): vector { |
215
|
|
|
if ($min > $max) { |
216
|
|
|
throw new invalidArgumentException('Minimum must be less than maximum.'); |
217
|
|
|
} |
218
|
|
|
if ($n < 2) { |
219
|
|
|
throw new invalidArgumentException('Number of elements must be greater than 1.'); |
220
|
|
|
} |
221
|
|
|
$k = $n - 1; |
222
|
|
|
$interval = abs($max - $min) / $k; |
223
|
|
|
$a = [$min]; |
224
|
|
|
while (count($a) < $k) { |
225
|
|
|
$a[] = end($a) + $interval; |
226
|
|
|
} |
227
|
|
|
$a[] = $max; |
228
|
|
|
return self::ar($a, $dtype); |
229
|
|
|
} |
230
|
|
|
|
231
|
|
|
/** |
232
|
|
|
* make a copy of vector |
233
|
|
|
* @return vector |
234
|
|
|
*/ |
235
|
|
|
public function copyVector(): vector { |
236
|
|
|
return clone $this; |
237
|
|
|
} |
238
|
|
|
|
239
|
|
|
/** |
240
|
|
|
* Return the element-wise maximum of given vector with current vector |
241
|
|
|
* |
242
|
|
|
* @param \Np\vector $vector |
243
|
|
|
* @return vector |
244
|
|
|
*/ |
245
|
|
|
public function maximum(\Np\vector $vector): vector { |
246
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
247
|
|
|
$v = new self($this->ndim, $this->dtype); |
248
|
|
|
for ($i = 0; $i < $v->ndim; ++$i) { |
249
|
|
|
$v->data[$i] = max($this->data[$i], $vector->data[$i]); |
250
|
|
|
} |
251
|
|
|
return $v; |
252
|
|
|
} |
253
|
|
|
} |
254
|
|
|
|
255
|
|
|
/** |
256
|
|
|
* Return the element-wise minium of given vector with current vector |
257
|
|
|
* |
258
|
|
|
* @param \Np\vector $vector |
259
|
|
|
* @return vector |
260
|
|
|
*/ |
261
|
|
|
public function minium(\Np\vector $vector): vector { |
262
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
263
|
|
|
$v = new self($this->ndim, $this->dtype); |
264
|
|
|
for ($i = 0; $i < $v->ndim; ++$i) { |
265
|
|
|
$v->data[$i] = min($this->data[$i], $vector->data[$i]); |
266
|
|
|
} |
267
|
|
|
return $v; |
268
|
|
|
} |
269
|
|
|
} |
270
|
|
|
|
271
|
|
|
/** |
272
|
|
|
* Return the index of the minimum element in the vector. |
273
|
|
|
* |
274
|
|
|
* @return int |
275
|
|
|
*/ |
276
|
|
|
public function argMin(): int { |
277
|
|
|
return blas::min($this); |
278
|
|
|
} |
279
|
|
|
|
280
|
|
|
/** |
281
|
|
|
* Return the index of the maximum element in the vector. |
282
|
|
|
* |
283
|
|
|
* @return int |
284
|
|
|
*/ |
285
|
|
|
public function argMx(): int { |
286
|
|
|
return blas::max($this); |
287
|
|
|
} |
288
|
|
|
|
289
|
|
|
/** |
290
|
|
|
* vector-vector dot product |
291
|
|
|
* @param \Np\vector $vector |
292
|
|
|
* @param int $incX |
293
|
|
|
* @param int $incY |
294
|
|
|
* @return vector |
295
|
|
|
*/ |
296
|
|
|
public function dotVector(\Np\vector $v) { |
297
|
|
|
if ($this->checkDtype($this, $v)) { |
298
|
|
|
return blas::dot($this, $v); |
299
|
|
|
} |
300
|
|
|
} |
301
|
|
|
|
302
|
|
|
/** |
303
|
|
|
* The sum of the vector. |
304
|
|
|
* @return float |
305
|
|
|
*/ |
306
|
|
|
public function sum(): float { |
307
|
|
|
return blas::asum($this); |
308
|
|
|
} |
309
|
|
|
|
310
|
|
|
/** |
311
|
|
|
* Return the product of the vector. |
312
|
|
|
* @return int|float |
313
|
|
|
*/ |
314
|
|
|
public function product(): float { |
315
|
|
|
$r = 1.0; |
316
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
317
|
|
|
$r *= $this->data[$i]; |
318
|
|
|
} |
319
|
|
|
return $r; |
320
|
|
|
} |
321
|
|
|
|
322
|
|
|
/** |
323
|
|
|
* Compute the vector-matrix dot product of this vector and matrix . |
324
|
|
|
* @param \Np\matrix $m |
325
|
|
|
* @return vector |
326
|
|
|
*/ |
327
|
|
|
public function dotMatrix(\Np\matrix $m): vector { |
328
|
|
|
if ($this->checkDtype($this, $m)) { |
329
|
|
|
$mvr = self::factory($this->col, $this->dtype); |
330
|
|
|
core\blas::gemv($m, $this, $mvr); |
331
|
|
|
return $mvr; |
332
|
|
|
} |
333
|
|
|
} |
334
|
|
|
|
335
|
|
|
/** |
336
|
|
|
* |
337
|
|
|
* @param int|float|matrix|vector $d |
338
|
|
|
* @return matrix|vector |
339
|
|
|
*/ |
340
|
|
|
public function divide(int|float|matrix|vector $d): matrix|vector { |
341
|
|
|
if ($d instanceof matrix) { |
342
|
|
|
return $this->divideMatrix($d); |
343
|
|
|
} elseif ($d instanceof self) { |
344
|
|
|
return $this->divideVector($d); |
345
|
|
|
} else { |
346
|
|
|
return $this->divideScalar($d); |
347
|
|
|
} |
348
|
|
|
} |
349
|
|
|
|
350
|
|
|
/** |
351
|
|
|
* |
352
|
|
|
* @param \Np\matrix $m |
353
|
|
|
* @return matrix |
354
|
|
|
*/ |
355
|
|
|
protected function divideMatrix(\Np\matrix $m): matrix { |
356
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
357
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
358
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
359
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
360
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] / $m->data[$i * $m->col + $j]; |
361
|
|
|
} |
362
|
|
|
} |
363
|
|
|
return $vr; |
364
|
|
|
} |
365
|
|
|
} |
366
|
|
|
|
367
|
|
|
/** |
368
|
|
|
* |
369
|
|
|
* @param vector $v |
370
|
|
|
* @return vector |
371
|
|
|
*/ |
372
|
|
|
protected function divideVector(vector $v): vector { |
373
|
|
|
if ($this->checkShape($this, $v) && $this->checkDtype($this, $v)) { |
374
|
|
|
$vr = self::factory($this->col, $this->dtype); |
375
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
376
|
|
|
$vr->data[$i] = $this->data[$i] / $v->data[$i]; |
377
|
|
|
} |
378
|
|
|
return $vr; |
379
|
|
|
} |
380
|
|
|
} |
381
|
|
|
|
382
|
|
|
/** |
383
|
|
|
* |
384
|
|
|
* @param int|float $s |
385
|
|
|
* @return vector |
386
|
|
|
*/ |
387
|
|
|
protected function divideScalar(int|float $s): vector { |
388
|
|
|
$vr = self::factory($this->col, $this->dtype); |
389
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
390
|
|
|
$vr->data[$i] = $this->data[$i] / $s; |
391
|
|
|
} |
392
|
|
|
return $vr; |
393
|
|
|
} |
394
|
|
|
|
395
|
|
|
/** |
396
|
|
|
* |
397
|
|
|
* @param int|float|matrix|vector $d |
398
|
|
|
* @return matrix|vector |
399
|
|
|
*/ |
400
|
|
|
public function multiply(int|float|matrix|vector $d): matrix|vector { |
401
|
|
|
if ($d instanceof matrix) { |
402
|
|
|
return $this->multiplyMatrix($d); |
403
|
|
|
} elseif ($d instanceof self) { |
404
|
|
|
return $this->multiplyVector($d); |
405
|
|
|
} else { |
406
|
|
|
return $this->multiplyScalar($d); |
407
|
|
|
} |
408
|
|
|
} |
409
|
|
|
|
410
|
|
|
/** |
411
|
|
|
* |
412
|
|
|
* @param \Np\matrix $m |
413
|
|
|
* @return matrix |
414
|
|
|
*/ |
415
|
|
|
protected function multiplyMatrix(\Np\matrix $m): matrix { |
416
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
417
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
418
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
419
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
420
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] * $m->data[$i * $m->col + $j]; |
421
|
|
|
} |
422
|
|
|
} |
423
|
|
|
return $vr; |
424
|
|
|
} |
425
|
|
|
} |
426
|
|
|
|
427
|
|
|
/** |
428
|
|
|
* |
429
|
|
|
* @param \Np\vector $vector |
430
|
|
|
* @return vector |
431
|
|
|
*/ |
432
|
|
|
protected function multiplyVector(\Np\vector $vector): vector { |
433
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
434
|
|
|
$vr = self::factory($this->col, $this->dtype); |
435
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
436
|
|
|
$vr->data[$i] = $this->data[$i] * $vector->data[$i]; |
437
|
|
|
} |
438
|
|
|
return $vr; |
439
|
|
|
} |
440
|
|
|
} |
441
|
|
|
|
442
|
|
|
/** |
443
|
|
|
* |
444
|
|
|
* @param int|float $s |
445
|
|
|
* @return vector |
446
|
|
|
*/ |
447
|
|
|
protected function multiplyScalar(int|float $s): vector { |
448
|
|
|
$vr = $this->copyVector(); |
449
|
|
|
blas::scale($s, $vr); |
450
|
|
|
return $vr; |
451
|
|
|
} |
452
|
|
|
|
453
|
|
|
/** |
454
|
|
|
* |
455
|
|
|
* @param int|float|matrix|vector $d |
456
|
|
|
* @return matrix|vector |
457
|
|
|
*/ |
458
|
|
|
public function add(int|float|matrix|vector $d): matrix|vector { |
459
|
|
|
if ($d instanceof matrix) { |
460
|
|
|
return $this->addMatrix($d); |
461
|
|
|
} elseif ($d instanceof self) { |
462
|
|
|
return $this->addVector($d); |
463
|
|
|
} else { |
464
|
|
|
return $this->addScalar($d); |
465
|
|
|
} |
466
|
|
|
} |
467
|
|
|
|
468
|
|
|
/** |
469
|
|
|
* |
470
|
|
|
* @param \Np\matrix $m |
471
|
|
|
* @return matrix |
472
|
|
|
*/ |
473
|
|
|
protected function addMatrix(\Np\matrix $m): matrix { |
474
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
475
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
476
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
477
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
478
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] + $m->data[$i * $m->col + $j]; |
479
|
|
|
} |
480
|
|
|
} |
481
|
|
|
return $vr; |
482
|
|
|
} |
483
|
|
|
} |
484
|
|
|
|
485
|
|
|
/** |
486
|
|
|
* |
487
|
|
|
* @param \Np\vector $vector |
488
|
|
|
* @return vector |
489
|
|
|
*/ |
490
|
|
|
protected function addVector(\Np\vector $vector): vector { |
491
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
492
|
|
|
$vr = self::factory($this->col, $this->dtype); |
493
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
494
|
|
|
$vr->data[$i] = $this->data[$i] + $vector->data[$i]; |
495
|
|
|
} |
496
|
|
|
return $vr; |
497
|
|
|
} |
498
|
|
|
} |
499
|
|
|
|
500
|
|
|
/** |
501
|
|
|
* |
502
|
|
|
* @param int|float $s |
503
|
|
|
* @return vector |
504
|
|
|
*/ |
505
|
|
|
protected function addScalar(int|float $s): vector { |
506
|
|
|
$vr = $this->copyVector(); |
507
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
508
|
|
|
$vr->data[$i] += $s; |
509
|
|
|
} |
510
|
|
|
return $vr; |
511
|
|
|
} |
512
|
|
|
|
513
|
|
|
/** |
514
|
|
|
* |
515
|
|
|
* @param int|float|\Np\matrix|\Np\vector $d |
516
|
|
|
* @return matrix|vector |
517
|
|
|
*/ |
518
|
|
|
public function pow(int|float|\Np\matrix|\Np\vector $d): matrix|vector { |
519
|
|
|
if ($d instanceof matrix) { |
520
|
|
|
return $this->powMatrix($d); |
521
|
|
|
} elseif ($d instanceof vector) { |
522
|
|
|
return $this->powVector($d); |
523
|
|
|
} else { |
524
|
|
|
return $this->powScalar($d); |
525
|
|
|
} |
526
|
|
|
} |
527
|
|
|
|
528
|
|
|
/** |
529
|
|
|
* |
530
|
|
|
* @param \Np\matrix $m |
531
|
|
|
* @return matrix |
532
|
|
|
*/ |
533
|
|
|
protected function powMatrix(\Np\matrix $m): matrix { |
534
|
|
|
if ($this->checkDimensions($this, $m) && $this->checkDtype($this, $m)) { |
535
|
|
|
$ar = matrix::factory($m->row, $m->col, $this->dtype); |
536
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
537
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
538
|
|
|
$ar->data[$i * $m->col + $j] = $m->data[$i * $m->col + $j] ** $this->data[$j]; |
539
|
|
|
} |
540
|
|
|
} |
541
|
|
|
return $ar; |
542
|
|
|
} |
543
|
|
|
} |
544
|
|
|
|
545
|
|
|
/** |
546
|
|
|
* |
547
|
|
|
* @param \Np\vector $vector |
548
|
|
|
* @return vector |
549
|
|
|
*/ |
550
|
|
|
protected function powVector(\Np\vector $vector): vector { |
551
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
552
|
|
|
$vr = self::factory($this->col, $this->dtype); |
553
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
554
|
|
|
$vr->data[$i] = $this->data[$i] ** $vector->data[$i]; |
555
|
|
|
} |
556
|
|
|
return $vr; |
557
|
|
|
} |
558
|
|
|
} |
559
|
|
|
|
560
|
|
|
/** |
561
|
|
|
* |
562
|
|
|
* @param int|float $s |
563
|
|
|
* @return vector |
564
|
|
|
*/ |
565
|
|
|
protected function powScalar(int|float $s): vector { |
566
|
|
|
$v = $this->copyVector(); |
567
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
568
|
|
|
$v->data[$i] = $v->data[$i] ** $s; |
569
|
|
|
} |
570
|
|
|
return $v; |
571
|
|
|
} |
572
|
|
|
|
573
|
|
|
/** |
574
|
|
|
* |
575
|
|
|
* @param int|float|\Np\matrix|\Np\vector $d |
576
|
|
|
* @return matrix|vector |
577
|
|
|
*/ |
578
|
|
|
public function mod(int|float|\Np\matrix|\Np\vector $d): matrix|vector { |
579
|
|
|
if ($d instanceof matrix) { |
580
|
|
|
return $this->powMatrix($d); |
581
|
|
|
} elseif ($d instanceof vector) { |
582
|
|
|
return $this->powVector($d); |
583
|
|
|
} else { |
584
|
|
|
return $this->powScalar($d); |
585
|
|
|
} |
586
|
|
|
} |
587
|
|
|
|
588
|
|
|
/** |
589
|
|
|
* |
590
|
|
|
* @param \Np\matrix $m |
591
|
|
|
* @return matrix |
592
|
|
|
*/ |
593
|
|
|
protected function modMatrix(\Np\matrix $m): matrix { |
594
|
|
|
if ($this->checkDimensions($this, $m) && $this->checkDtype($this, $m)) { |
595
|
|
|
$ar = matrix::factory($m->row, $m->col, $this->dtype); |
596
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
597
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
598
|
|
|
$ar->data[$i * $m->col + $j] = $m->data[$i * $m->col + $j] % $this->data[$j]; |
599
|
|
|
} |
600
|
|
|
} |
601
|
|
|
return $ar; |
602
|
|
|
} |
603
|
|
|
} |
604
|
|
|
|
605
|
|
|
/** |
606
|
|
|
* |
607
|
|
|
* @param \Np\vector $vector |
608
|
|
|
* @return vector |
609
|
|
|
*/ |
610
|
|
|
protected function modVector(\Np\vector $vector): vector { |
611
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
612
|
|
|
$vr = self::factory($this->col, $this->dtype); |
613
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
614
|
|
|
$vr->data[$i] = $this->data[$i] % $vector->data[$i]; |
615
|
|
|
} |
616
|
|
|
return $vr; |
617
|
|
|
} |
618
|
|
|
} |
619
|
|
|
|
620
|
|
|
/** |
621
|
|
|
* |
622
|
|
|
* @param int|float $s |
623
|
|
|
*/ |
624
|
|
|
protected function modScalar(int|float $s) { |
625
|
|
|
$v = $this->copyVector(); |
626
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
627
|
|
|
$v->data[$i] = $v->data[$i] % $s; |
628
|
|
|
} |
629
|
|
|
} |
630
|
|
|
|
631
|
|
|
/** |
632
|
|
|
* |
633
|
|
|
* @param int|float|matrix|vector $d |
634
|
|
|
* @return matrix|vector |
635
|
|
|
*/ |
636
|
|
|
public function subtract(int|float|matrix|vector $d): matrix|vector { |
637
|
|
|
if ($d instanceof matrix) { |
638
|
|
|
return $this->subtractMatrix($d); |
639
|
|
|
} elseif ($d instanceof self) { |
640
|
|
|
return $this->subtractVector($d); |
641
|
|
|
} else { |
642
|
|
|
return $this->substractScalar($d); |
643
|
|
|
} |
644
|
|
|
} |
645
|
|
|
|
646
|
|
|
/** |
647
|
|
|
* |
648
|
|
|
* @param \Np\matrix $m |
649
|
|
|
* @return matrix |
650
|
|
|
*/ |
651
|
|
|
protected function subtractMatrix(\Np\matrix $m): matrix { |
652
|
|
|
if ($this->checkShape($this, $m) && $this->checkDtype($this, $m)) { |
653
|
|
|
$vr = matrix::factory($m->row, $m->col, $m->dtype); |
654
|
|
|
for ($i = 0; $i < $m->row; ++$i) { |
655
|
|
|
for ($j = 0; $j < $m->col; ++$j) { |
656
|
|
|
$vr->data[$i * $m->col + $j] = $this->data[$j] - $m->data[$i * $m->col + $j]; |
657
|
|
|
} |
658
|
|
|
} |
659
|
|
|
return $vr; |
660
|
|
|
} |
661
|
|
|
} |
662
|
|
|
|
663
|
|
|
/** |
664
|
|
|
* |
665
|
|
|
* @param \Np\vector $vector |
666
|
|
|
* @return vector |
667
|
|
|
*/ |
668
|
|
|
protected function subtractVector(\Np\vector $vector): vector { |
669
|
|
|
if ($this->checkShape($this, $vector) && $this->checkDtype($this, $vector)) { |
670
|
|
|
$vr = self::factory($this->col, $this->dtype); |
671
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
672
|
|
|
$vr->data[$i] = $this->data[$i] - $vector->data[$i]; |
673
|
|
|
} |
674
|
|
|
return $vr; |
675
|
|
|
} |
676
|
|
|
} |
677
|
|
|
|
678
|
|
|
/** |
679
|
|
|
* |
680
|
|
|
* @param \Np\vector $scalar |
681
|
|
|
* @return \Np\vector |
682
|
|
|
*/ |
683
|
|
|
protected function substractScalar(int|float $scalar): vector { |
684
|
|
|
$vr = self::factory($this->col, $this->dtype); |
685
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
686
|
|
|
$vr->data[$i] = $this->data[$i] - $scalar; |
687
|
|
|
} |
688
|
|
|
return $vr; |
689
|
|
|
} |
690
|
|
|
|
691
|
|
|
/** |
692
|
|
|
* |
693
|
|
|
* @param \Np\vector $v |
694
|
|
|
* @param int $stride |
695
|
|
|
* @return vector |
696
|
|
|
*/ |
697
|
|
|
public function convolve(\Np\vector $v, int $stride = 1): vector { |
698
|
|
|
return convolve::conv1D($this, $v, $stride); |
699
|
|
|
} |
700
|
|
|
|
701
|
|
|
/** |
702
|
|
|
* Run a function over all of the elements in the vector. |
703
|
|
|
* |
704
|
|
|
* @param callable $func |
705
|
|
|
* @return vector |
706
|
|
|
*/ |
707
|
|
|
public function map(callable $func): vector { |
708
|
|
|
$vr = self::factory($this->col, $this->dtype); |
709
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
710
|
|
|
$vr->data[$i] = $func($this->data[$i]); |
711
|
|
|
} |
712
|
|
|
return $vr; |
713
|
|
|
} |
714
|
|
|
|
715
|
|
|
public function log(float $b = M_E): vector { |
716
|
|
|
$vr = $this->copyVector(); |
717
|
|
|
for ($i = 0; $i < $vr->col; ++$i) { |
718
|
|
|
log($vr->data[$i], $b); |
719
|
|
|
} |
720
|
|
|
return $vr; |
721
|
|
|
} |
722
|
|
|
|
723
|
|
|
public function max() { |
724
|
|
|
return $this->data[blas::max($this)]; |
725
|
|
|
} |
726
|
|
|
|
727
|
|
|
public function min() { |
728
|
|
|
$this->data[blas::min($this)]; |
729
|
|
|
} |
730
|
|
|
|
731
|
|
|
public function abs(): vector { |
732
|
|
|
return $this->map('abs'); |
733
|
|
|
} |
734
|
|
|
|
735
|
|
|
public function sqrt(): vector { |
736
|
|
|
return $this->map('sqrt'); |
737
|
|
|
} |
738
|
|
|
|
739
|
|
|
public function exp(): vector { |
740
|
|
|
return $this->map('exp'); |
741
|
|
|
} |
742
|
|
|
|
743
|
|
|
public function exp1(): vector { |
744
|
|
|
return $this->map('exp1'); |
745
|
|
|
} |
746
|
|
|
|
747
|
|
|
public function log1p(): vector { |
748
|
|
|
return $this->map('log1p'); |
749
|
|
|
} |
750
|
|
|
|
751
|
|
|
public function sin(): vector { |
752
|
|
|
return $this->map('sin'); |
753
|
|
|
} |
754
|
|
|
|
755
|
|
|
public function asin(): vector { |
756
|
|
|
return $this->map('asin'); |
757
|
|
|
} |
758
|
|
|
|
759
|
|
|
public function cos(): vector { |
760
|
|
|
return $this->map('cos'); |
761
|
|
|
} |
762
|
|
|
|
763
|
|
|
public function acos(): vector { |
764
|
|
|
return $this->map('acos'); |
765
|
|
|
} |
766
|
|
|
|
767
|
|
|
public function tan(): vector { |
768
|
|
|
return $this->map('tan'); |
769
|
|
|
} |
770
|
|
|
|
771
|
|
|
public function atan(): vector { |
772
|
|
|
return $this->map('atan'); |
773
|
|
|
} |
774
|
|
|
|
775
|
|
|
public function radToDeg(): vector { |
776
|
|
|
return $this->map('rad2deg'); |
777
|
|
|
} |
778
|
|
|
|
779
|
|
|
public function degToRad(): vector { |
780
|
|
|
return $this->map('deg2rad'); |
781
|
|
|
} |
782
|
|
|
|
783
|
|
|
public function floor(): vector { |
784
|
|
|
return $this->map('floor'); |
785
|
|
|
} |
786
|
|
|
|
787
|
|
|
public function ceil(): vector { |
788
|
|
|
return $this->map('ceil'); |
789
|
|
|
} |
790
|
|
|
|
791
|
|
|
/** |
792
|
|
|
* |
793
|
|
|
* @param float $min |
794
|
|
|
* @param float $max |
795
|
|
|
* @return vector |
796
|
|
|
*/ |
797
|
|
|
public function clip(float $min, float $max) : vector { |
798
|
|
|
if ($min > $max) { |
799
|
|
|
self::_invalidArgument('Minimum cannot be greater than maximum.'); |
800
|
|
|
} |
801
|
|
|
|
802
|
|
|
$vr = self::factory($this->col, $this->dtype); |
803
|
|
|
|
804
|
|
|
for($i = 0; $i < $this->col; ++$i) { |
805
|
|
|
if ($this->data[$i] > $max) { |
806
|
|
|
$vr->data[$i] = $max; |
807
|
|
|
continue; |
808
|
|
|
} |
809
|
|
|
if ($this->data[$i] < $min) { |
810
|
|
|
$vr->data[$i] = $min; |
811
|
|
|
continue; |
812
|
|
|
} |
813
|
|
|
} |
814
|
|
|
|
815
|
|
|
return $vr; |
816
|
|
|
} |
817
|
|
|
|
818
|
|
|
public function clipUpper(float $min) : vector { |
819
|
|
|
$vr = self::factory($this->col, $this->dtype); |
820
|
|
|
for($i = 0; $i < $this->col; ++$i) { |
821
|
|
|
if ($this->data[$i] > $min) { |
822
|
|
|
$vr->data[$i] = $min; |
823
|
|
|
continue; |
824
|
|
|
} |
825
|
|
|
} |
826
|
|
|
return $vr; |
827
|
|
|
} |
828
|
|
|
|
829
|
|
|
public function clipLower(float $min) : vector { |
830
|
|
|
$vr = self::factory($this->col, $this->dtype); |
831
|
|
|
for($i = 0; $i < $this->col; ++$i) { |
832
|
|
|
if ($this->data[$i] < $min) { |
833
|
|
|
$vr->data[$i] = $min; |
834
|
|
|
continue; |
835
|
|
|
} |
836
|
|
|
} |
837
|
|
|
return $vr; |
838
|
|
|
} |
839
|
|
|
|
840
|
|
|
/** |
841
|
|
|
* Return the inner product of two vectors. |
842
|
|
|
* |
843
|
|
|
* @param \Np\vector $vector |
844
|
|
|
* |
845
|
|
|
*/ |
846
|
|
|
public function inner(\Np\vector $vector) { |
847
|
|
|
return $this->dotVector($vector); |
848
|
|
|
} |
849
|
|
|
|
850
|
|
|
/** |
851
|
|
|
* Calculate the L1 norm of the vector. |
852
|
|
|
* @return float |
853
|
|
|
*/ |
854
|
|
|
public function normL1(): float { |
855
|
|
|
return $this->abs()->sum(); |
856
|
|
|
} |
857
|
|
|
|
858
|
|
|
public function normL2() { |
859
|
|
|
return sqrt($this->square()->sum()); |
860
|
|
|
} |
861
|
|
|
|
862
|
|
|
public function normMax() { |
863
|
|
|
return $this->abs()->max(); |
864
|
|
|
} |
865
|
|
|
|
866
|
|
|
public function normP(float $p = 2.5) { |
867
|
|
|
if ($p <= 0.0) { |
868
|
|
|
self::_invalidArgument('P must be greater than 0.0 !'); |
869
|
|
|
} |
870
|
|
|
return $this->abs()->powScalar($p)->sum() ** (1.0 / $p); |
871
|
|
|
} |
872
|
|
|
|
873
|
|
|
/** |
874
|
|
|
* Return the reciprocal of the vector element-wise. |
875
|
|
|
* |
876
|
|
|
* @return self |
877
|
|
|
*/ |
878
|
|
|
public function reciprocal(): vector { |
879
|
|
|
return self::ones($this->col, $this->dtype) |
880
|
|
|
->divideVector($this); |
881
|
|
|
} |
882
|
|
|
|
883
|
|
|
/** |
884
|
|
|
* |
885
|
|
|
* @return int|float |
886
|
|
|
*/ |
887
|
|
|
public function mean():int|float { |
888
|
|
|
return $this->sum()/ $this->col; |
889
|
|
|
} |
890
|
|
|
|
891
|
|
|
/** |
892
|
|
|
* |
893
|
|
|
* @return int|float |
894
|
|
|
*/ |
895
|
|
|
public function median():int|float { |
896
|
|
|
$mid = intdiv($this->col, 2); |
897
|
|
|
|
898
|
|
|
$a = $this->copyVector()->sort(); |
899
|
|
|
if ($this->col % 2 === 1) { |
900
|
|
|
$median = $a->data[$mid]; |
901
|
|
|
} else { |
902
|
|
|
$median = ($a->data[$mid - 1] + $a->data[$mid]) / 2.; |
903
|
|
|
} |
904
|
|
|
return $median; |
905
|
|
|
} |
906
|
|
|
|
907
|
|
|
public function variance($mean = null) |
908
|
|
|
{ |
909
|
|
|
if (is_null($mean)) { |
910
|
|
|
$mean = $this->mean(); |
911
|
|
|
} |
912
|
|
|
|
913
|
|
|
$sd = $this->substractScalar($mean) |
914
|
|
|
->square() |
915
|
|
|
->sum(); |
916
|
|
|
|
917
|
|
|
return $sd / $this->col; |
918
|
|
|
} |
919
|
|
|
|
920
|
|
|
/** |
921
|
|
|
* |
922
|
|
|
* @return vector |
923
|
|
|
*/ |
924
|
|
|
public function square(): vector { |
925
|
|
|
return $this->multiplyVector($this); |
926
|
|
|
} |
927
|
|
|
|
928
|
|
|
/** |
929
|
|
|
* sort the vector |
930
|
|
|
* @param string $type i or d |
931
|
|
|
* |
932
|
|
|
*/ |
933
|
|
|
public function sort($type = 'i') { |
934
|
|
|
lapack::sort($this, $type); |
935
|
|
|
return $this; |
936
|
|
|
} |
937
|
|
|
|
938
|
|
|
/** |
939
|
|
|
* set data to vector |
940
|
|
|
* @param int|float|array $data |
941
|
|
|
*/ |
942
|
|
|
public function setData(int|float|array $data) { |
943
|
|
|
if (is_array($data) && !is_array($data[0])) { |
944
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
945
|
|
|
$this->data[$i] = $data[$i]; |
946
|
|
|
} |
947
|
|
|
} elseif (is_numeric($data)) { |
948
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
949
|
|
|
$this->data[$i] = $data; |
950
|
|
|
} |
951
|
|
|
} |
952
|
|
|
} |
953
|
|
|
|
954
|
|
|
/** |
955
|
|
|
* Return a matrix in the shape specified. |
956
|
|
|
* @param int $row |
957
|
|
|
* @param int $col |
958
|
|
|
* @return matrix |
959
|
|
|
*/ |
960
|
|
|
public function reshape(int $row, int $col): matrix { |
961
|
|
|
if($this->col != $row * $col) { |
962
|
|
|
self::_dimensionaMisMatchErr('given dimenssion is not valid for current bufferData'); |
963
|
|
|
} |
964
|
|
|
$ar = matrix::factory($row, $col, $this->dtype); |
965
|
|
|
$ar->data = $this->data; |
966
|
|
|
return $ar; |
967
|
|
|
} |
968
|
|
|
|
969
|
|
|
/** |
970
|
|
|
* get the size of vector |
971
|
|
|
* @return int |
972
|
|
|
*/ |
973
|
|
|
public function getSize(): int { |
974
|
|
|
return $this->col; |
975
|
|
|
} |
976
|
|
|
|
977
|
|
|
public function getDtype() { |
978
|
|
|
return $this->dtype; |
979
|
|
|
} |
980
|
|
|
|
981
|
|
|
public function asArray() { |
982
|
|
|
$ar = array_fill(0, $this->col, null); |
983
|
|
|
for ($i = 0; $i < $this->col; ++$i) { |
984
|
|
|
$ar[$i] = $this->data[$i]; |
985
|
|
|
} |
986
|
|
|
return $ar; |
987
|
|
|
} |
988
|
|
|
|
989
|
|
|
public function printVector() { |
990
|
|
|
for ($j = 0; $j < $this->col; ++$j) { |
991
|
|
|
printf('%lf ', $this->data[$j]); |
992
|
|
|
} |
993
|
|
|
echo PHP_EOL; |
994
|
|
|
} |
995
|
|
|
|
996
|
|
|
public function __toString() { |
997
|
|
|
return (string) $this->printVector(); |
998
|
|
|
} |
999
|
|
|
|
1000
|
|
|
protected function __construct(public int $col, int $dtype = self::FLOAT) { |
1001
|
|
|
if ($this->col < 1) { |
1002
|
|
|
throw new invalidArgumentException('* To create Numphp/Vector col must be greater than 0!, Op Failed! * '); |
1003
|
|
|
} |
1004
|
|
|
parent::__construct($this->col, $dtype); |
1005
|
|
|
return $this; |
1006
|
|
|
} |
1007
|
|
|
|
1008
|
|
|
} |
1009
|
|
|
|