visualizer
/
vendor
/
phpoffice
/
phpspreadsheet
/
src
/
PhpSpreadsheet
/
Shared
/
JAMA
/
Matrix.php
Matrix.php in Visualizer – Tables & Charts Manager with Built-in AI Generator 3.4.7, at vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Shared/JAMA/Matrix.php
| 1 | <?php |
| 2 | |
| 3 | namespace PhpOffice\PhpSpreadsheet\Shared\JAMA; |
| 4 | |
| 5 | use PhpOffice\PhpSpreadsheet\Calculation\Exception as CalculationException; |
| 6 | use PhpOffice\PhpSpreadsheet\Calculation\Functions; |
| 7 | use PhpOffice\PhpSpreadsheet\Shared\StringHelper; |
| 8 | |
| 9 | /** |
| 10 | * Matrix class. |
| 11 | * |
| 12 | * @author Paul Meagher |
| 13 | * @author Michael Bommarito |
| 14 | * @author Lukasz Karapuda |
| 15 | * @author Bartek Matosiuk |
| 16 | * |
| 17 | * @version 1.8 |
| 18 | * |
| 19 | * @see https://math.nist.gov/javanumerics/jama/ |
| 20 | */ |
| 21 | class Matrix |
| 22 | { |
| 23 | const POLYMORPHIC_ARGUMENT_EXCEPTION = 'Invalid argument pattern for polymorphic function.'; |
| 24 | const ARGUMENT_TYPE_EXCEPTION = 'Invalid argument type.'; |
| 25 | const ARGUMENT_BOUNDS_EXCEPTION = 'Invalid argument range.'; |
| 26 | const MATRIX_DIMENSION_EXCEPTION = 'Matrix dimensions are not equal.'; |
| 27 | const ARRAY_LENGTH_EXCEPTION = 'Array length must be a multiple of m.'; |
| 28 | const MATRIX_SPD_EXCEPTION = 'Can only perform operation on symmetric positive definite matrix.'; |
| 29 | |
| 30 | /** |
| 31 | * Matrix storage. |
| 32 | * |
| 33 | * @var array |
| 34 | */ |
| 35 | public $A = []; |
| 36 | |
| 37 | /** |
| 38 | * Matrix row dimension. |
| 39 | * |
| 40 | * @var int |
| 41 | */ |
| 42 | private $m; |
| 43 | |
| 44 | /** |
| 45 | * Matrix column dimension. |
| 46 | * |
| 47 | * @var int |
| 48 | */ |
| 49 | private $n; |
| 50 | |
| 51 | /** |
| 52 | * Polymorphic constructor. |
| 53 | * |
| 54 | * As PHP has no support for polymorphic constructors, we use tricks to make our own sort of polymorphism using func_num_args, func_get_arg, and gettype. In essence, we're just implementing a simple RTTI filter and calling the appropriate constructor. |
| 55 | */ |
| 56 | public function __construct(...$args) |
| 57 | { |
| 58 | if (count($args) > 0) { |
| 59 | $match = implode(',', array_map('gettype', $args)); |
| 60 | |
| 61 | switch ($match) { |
| 62 | //Rectangular matrix - m x n initialized from 2D array |
| 63 | case 'array': |
| 64 | $this->m = count($args[0]); |
| 65 | $this->n = count($args[0][0]); |
| 66 | $this->A = $args[0]; |
| 67 | |
| 68 | break; |
| 69 | //Square matrix - n x n |
| 70 | case 'integer': |
| 71 | $this->m = $args[0]; |
| 72 | $this->n = $args[0]; |
| 73 | $this->A = array_fill(0, $this->m, array_fill(0, $this->n, 0)); |
| 74 | |
| 75 | break; |
| 76 | //Rectangular matrix - m x n |
| 77 | case 'integer,integer': |
| 78 | $this->m = $args[0]; |
| 79 | $this->n = $args[1]; |
| 80 | $this->A = array_fill(0, $this->m, array_fill(0, $this->n, 0)); |
| 81 | |
| 82 | break; |
| 83 | //Rectangular matrix - m x n initialized from packed array |
| 84 | case 'array,integer': |
| 85 | $this->m = $args[1]; |
| 86 | if ($this->m != 0) { |
| 87 | $this->n = count($args[0]) / $this->m; |
| 88 | } else { |
| 89 | $this->n = 0; |
| 90 | } |
| 91 | if (($this->m * $this->n) == count($args[0])) { |
| 92 | for ($i = 0; $i < $this->m; ++$i) { |
| 93 | for ($j = 0; $j < $this->n; ++$j) { |
| 94 | $this->A[$i][$j] = $args[0][$i + $j * $this->m]; |
| 95 | } |
| 96 | } |
| 97 | } else { |
| 98 | throw new CalculationException(self::ARRAY_LENGTH_EXCEPTION); |
| 99 | } |
| 100 | |
| 101 | break; |
| 102 | default: |
| 103 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 104 | |
| 105 | break; |
| 106 | } |
| 107 | } else { |
| 108 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 109 | } |
| 110 | } |
| 111 | |
| 112 | /** |
| 113 | * getArray. |
| 114 | * |
| 115 | * @return array Matrix array |
| 116 | */ |
| 117 | public function getArray() |
| 118 | { |
| 119 | return $this->A; |
| 120 | } |
| 121 | |
| 122 | /** |
| 123 | * getRowDimension. |
| 124 | * |
| 125 | * @return int Row dimension |
| 126 | */ |
| 127 | public function getRowDimension() |
| 128 | { |
| 129 | return $this->m; |
| 130 | } |
| 131 | |
| 132 | /** |
| 133 | * getColumnDimension. |
| 134 | * |
| 135 | * @return int Column dimension |
| 136 | */ |
| 137 | public function getColumnDimension() |
| 138 | { |
| 139 | return $this->n; |
| 140 | } |
| 141 | |
| 142 | /** |
| 143 | * get. |
| 144 | * |
| 145 | * Get the i,j-th element of the matrix. |
| 146 | * |
| 147 | * @param int $i Row position |
| 148 | * @param int $j Column position |
| 149 | * |
| 150 | * @return mixed Element (int/float/double) |
| 151 | */ |
| 152 | public function get($i = null, $j = null) |
| 153 | { |
| 154 | return $this->A[$i][$j]; |
| 155 | } |
| 156 | |
| 157 | /** |
| 158 | * getMatrix. |
| 159 | * |
| 160 | * Get a submatrix |
| 161 | * |
| 162 | * @param int $i0 Initial row index |
| 163 | * @param int $iF Final row index |
| 164 | * @param int $j0 Initial column index |
| 165 | * @param int $jF Final column index |
| 166 | * |
| 167 | * @return Matrix Submatrix |
| 168 | */ |
| 169 | public function getMatrix(...$args) |
| 170 | { |
| 171 | if (count($args) > 0) { |
| 172 | $match = implode(',', array_map('gettype', $args)); |
| 173 | |
| 174 | switch ($match) { |
| 175 | //A($i0...; $j0...) |
| 176 | case 'integer,integer': |
| 177 | list($i0, $j0) = $args; |
| 178 | if ($i0 >= 0) { |
| 179 | $m = $this->m - $i0; |
| 180 | } else { |
| 181 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 182 | } |
| 183 | if ($j0 >= 0) { |
| 184 | $n = $this->n - $j0; |
| 185 | } else { |
| 186 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 187 | } |
| 188 | $R = new self($m, $n); |
| 189 | for ($i = $i0; $i < $this->m; ++$i) { |
| 190 | for ($j = $j0; $j < $this->n; ++$j) { |
| 191 | $R->set($i, $j, $this->A[$i][$j]); |
| 192 | } |
| 193 | } |
| 194 | |
| 195 | return $R; |
| 196 | |
| 197 | break; |
| 198 | //A($i0...$iF; $j0...$jF) |
| 199 | case 'integer,integer,integer,integer': |
| 200 | list($i0, $iF, $j0, $jF) = $args; |
| 201 | if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) { |
| 202 | $m = $iF - $i0; |
| 203 | } else { |
| 204 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 205 | } |
| 206 | if (($jF > $j0) && ($this->n >= $jF) && ($j0 >= 0)) { |
| 207 | $n = $jF - $j0; |
| 208 | } else { |
| 209 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 210 | } |
| 211 | $R = new self($m + 1, $n + 1); |
| 212 | for ($i = $i0; $i <= $iF; ++$i) { |
| 213 | for ($j = $j0; $j <= $jF; ++$j) { |
| 214 | $R->set($i - $i0, $j - $j0, $this->A[$i][$j]); |
| 215 | } |
| 216 | } |
| 217 | |
| 218 | return $R; |
| 219 | |
| 220 | break; |
| 221 | //$R = array of row indices; $C = array of column indices |
| 222 | case 'array,array': |
| 223 | list($RL, $CL) = $args; |
| 224 | if (count($RL) > 0) { |
| 225 | $m = count($RL); |
| 226 | } else { |
| 227 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 228 | } |
| 229 | if (count($CL) > 0) { |
| 230 | $n = count($CL); |
| 231 | } else { |
| 232 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 233 | } |
| 234 | $R = new self($m, $n); |
| 235 | for ($i = 0; $i < $m; ++$i) { |
| 236 | for ($j = 0; $j < $n; ++$j) { |
| 237 | $R->set($i, $j, $this->A[$RL[$i]][$CL[$j]]); |
| 238 | } |
| 239 | } |
| 240 | |
| 241 | return $R; |
| 242 | |
| 243 | break; |
| 244 | //A($i0...$iF); $CL = array of column indices |
| 245 | case 'integer,integer,array': |
| 246 | list($i0, $iF, $CL) = $args; |
| 247 | if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) { |
| 248 | $m = $iF - $i0; |
| 249 | } else { |
| 250 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 251 | } |
| 252 | if (count($CL) > 0) { |
| 253 | $n = count($CL); |
| 254 | } else { |
| 255 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 256 | } |
| 257 | $R = new self($m, $n); |
| 258 | for ($i = $i0; $i < $iF; ++$i) { |
| 259 | for ($j = 0; $j < $n; ++$j) { |
| 260 | $R->set($i - $i0, $j, $this->A[$i][$CL[$j]]); |
| 261 | } |
| 262 | } |
| 263 | |
| 264 | return $R; |
| 265 | |
| 266 | break; |
| 267 | //$RL = array of row indices |
| 268 | case 'array,integer,integer': |
| 269 | list($RL, $j0, $jF) = $args; |
| 270 | if (count($RL) > 0) { |
| 271 | $m = count($RL); |
| 272 | } else { |
| 273 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 274 | } |
| 275 | if (($jF >= $j0) && ($this->n >= $jF) && ($j0 >= 0)) { |
| 276 | $n = $jF - $j0; |
| 277 | } else { |
| 278 | throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION); |
| 279 | } |
| 280 | $R = new self($m, $n + 1); |
| 281 | for ($i = 0; $i < $m; ++$i) { |
| 282 | for ($j = $j0; $j <= $jF; ++$j) { |
| 283 | $R->set($i, $j - $j0, $this->A[$RL[$i]][$j]); |
| 284 | } |
| 285 | } |
| 286 | |
| 287 | return $R; |
| 288 | |
| 289 | break; |
| 290 | default: |
| 291 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 292 | |
| 293 | break; |
| 294 | } |
| 295 | } else { |
| 296 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 297 | } |
| 298 | } |
| 299 | |
| 300 | /** |
| 301 | * checkMatrixDimensions. |
| 302 | * |
| 303 | * Is matrix B the same size? |
| 304 | * |
| 305 | * @param Matrix $B Matrix B |
| 306 | * |
| 307 | * @return bool |
| 308 | */ |
| 309 | public function checkMatrixDimensions($B = null) |
| 310 | { |
| 311 | if ($B instanceof self) { |
| 312 | if (($this->m == $B->getRowDimension()) && ($this->n == $B->getColumnDimension())) { |
| 313 | return true; |
| 314 | } |
| 315 | |
| 316 | throw new CalculationException(self::MATRIX_DIMENSION_EXCEPTION); |
| 317 | } |
| 318 | |
| 319 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 320 | } |
| 321 | |
| 322 | // function checkMatrixDimensions() |
| 323 | |
| 324 | /** |
| 325 | * set. |
| 326 | * |
| 327 | * Set the i,j-th element of the matrix. |
| 328 | * |
| 329 | * @param int $i Row position |
| 330 | * @param int $j Column position |
| 331 | * @param mixed $c Int/float/double value |
| 332 | * |
| 333 | * @return mixed Element (int/float/double) |
| 334 | */ |
| 335 | public function set($i = null, $j = null, $c = null) |
| 336 | { |
| 337 | // Optimized set version just has this |
| 338 | $this->A[$i][$j] = $c; |
| 339 | } |
| 340 | |
| 341 | // function set() |
| 342 | |
| 343 | /** |
| 344 | * identity. |
| 345 | * |
| 346 | * Generate an identity matrix. |
| 347 | * |
| 348 | * @param int $m Row dimension |
| 349 | * @param int $n Column dimension |
| 350 | * |
| 351 | * @return Matrix Identity matrix |
| 352 | */ |
| 353 | public function identity($m = null, $n = null) |
| 354 | { |
| 355 | return $this->diagonal($m, $n, 1); |
| 356 | } |
| 357 | |
| 358 | /** |
| 359 | * diagonal. |
| 360 | * |
| 361 | * Generate a diagonal matrix |
| 362 | * |
| 363 | * @param int $m Row dimension |
| 364 | * @param int $n Column dimension |
| 365 | * @param mixed $c Diagonal value |
| 366 | * |
| 367 | * @return Matrix Diagonal matrix |
| 368 | */ |
| 369 | public function diagonal($m = null, $n = null, $c = 1) |
| 370 | { |
| 371 | $R = new self($m, $n); |
| 372 | for ($i = 0; $i < $m; ++$i) { |
| 373 | $R->set($i, $i, $c); |
| 374 | } |
| 375 | |
| 376 | return $R; |
| 377 | } |
| 378 | |
| 379 | /** |
| 380 | * getMatrixByRow. |
| 381 | * |
| 382 | * Get a submatrix by row index/range |
| 383 | * |
| 384 | * @param int $i0 Initial row index |
| 385 | * @param int $iF Final row index |
| 386 | * |
| 387 | * @return Matrix Submatrix |
| 388 | */ |
| 389 | public function getMatrixByRow($i0 = null, $iF = null) |
| 390 | { |
| 391 | if (is_int($i0)) { |
| 392 | if (is_int($iF)) { |
| 393 | return $this->getMatrix($i0, 0, $iF + 1, $this->n); |
| 394 | } |
| 395 | |
| 396 | return $this->getMatrix($i0, 0, $i0 + 1, $this->n); |
| 397 | } |
| 398 | |
| 399 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 400 | } |
| 401 | |
| 402 | /** |
| 403 | * getMatrixByCol. |
| 404 | * |
| 405 | * Get a submatrix by column index/range |
| 406 | * |
| 407 | * @param int $j0 Initial column index |
| 408 | * @param int $jF Final column index |
| 409 | * |
| 410 | * @return Matrix Submatrix |
| 411 | */ |
| 412 | public function getMatrixByCol($j0 = null, $jF = null) |
| 413 | { |
| 414 | if (is_int($j0)) { |
| 415 | if (is_int($jF)) { |
| 416 | return $this->getMatrix(0, $j0, $this->m, $jF + 1); |
| 417 | } |
| 418 | |
| 419 | return $this->getMatrix(0, $j0, $this->m, $j0 + 1); |
| 420 | } |
| 421 | |
| 422 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 423 | } |
| 424 | |
| 425 | /** |
| 426 | * transpose. |
| 427 | * |
| 428 | * Tranpose matrix |
| 429 | * |
| 430 | * @return Matrix Transposed matrix |
| 431 | */ |
| 432 | public function transpose() |
| 433 | { |
| 434 | $R = new self($this->n, $this->m); |
| 435 | for ($i = 0; $i < $this->m; ++$i) { |
| 436 | for ($j = 0; $j < $this->n; ++$j) { |
| 437 | $R->set($j, $i, $this->A[$i][$j]); |
| 438 | } |
| 439 | } |
| 440 | |
| 441 | return $R; |
| 442 | } |
| 443 | |
| 444 | // function transpose() |
| 445 | |
| 446 | /** |
| 447 | * trace. |
| 448 | * |
| 449 | * Sum of diagonal elements |
| 450 | * |
| 451 | * @return float Sum of diagonal elements |
| 452 | */ |
| 453 | public function trace() |
| 454 | { |
| 455 | $s = 0; |
| 456 | $n = min($this->m, $this->n); |
| 457 | for ($i = 0; $i < $n; ++$i) { |
| 458 | $s += $this->A[$i][$i]; |
| 459 | } |
| 460 | |
| 461 | return $s; |
| 462 | } |
| 463 | |
| 464 | /** |
| 465 | * uminus. |
| 466 | * |
| 467 | * Unary minus matrix -A |
| 468 | * |
| 469 | * @return Matrix Unary minus matrix |
| 470 | */ |
| 471 | public function uminus() |
| 472 | { |
| 473 | } |
| 474 | |
| 475 | /** |
| 476 | * plus. |
| 477 | * |
| 478 | * A + B |
| 479 | * |
| 480 | * @param mixed $B Matrix/Array |
| 481 | * |
| 482 | * @return Matrix Sum |
| 483 | */ |
| 484 | public function plus(...$args) |
| 485 | { |
| 486 | if (count($args) > 0) { |
| 487 | $match = implode(',', array_map('gettype', $args)); |
| 488 | |
| 489 | switch ($match) { |
| 490 | case 'object': |
| 491 | if ($args[0] instanceof self) { |
| 492 | $M = $args[0]; |
| 493 | } else { |
| 494 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 495 | } |
| 496 | |
| 497 | break; |
| 498 | case 'array': |
| 499 | $M = new self($args[0]); |
| 500 | |
| 501 | break; |
| 502 | default: |
| 503 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 504 | |
| 505 | break; |
| 506 | } |
| 507 | $this->checkMatrixDimensions($M); |
| 508 | for ($i = 0; $i < $this->m; ++$i) { |
| 509 | for ($j = 0; $j < $this->n; ++$j) { |
| 510 | $M->set($i, $j, $M->get($i, $j) + $this->A[$i][$j]); |
| 511 | } |
| 512 | } |
| 513 | |
| 514 | return $M; |
| 515 | } |
| 516 | |
| 517 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 518 | } |
| 519 | |
| 520 | /** |
| 521 | * plusEquals. |
| 522 | * |
| 523 | * A = A + B |
| 524 | * |
| 525 | * @param mixed $B Matrix/Array |
| 526 | * |
| 527 | * @return Matrix Sum |
| 528 | */ |
| 529 | public function plusEquals(...$args) |
| 530 | { |
| 531 | if (count($args) > 0) { |
| 532 | $match = implode(',', array_map('gettype', $args)); |
| 533 | |
| 534 | switch ($match) { |
| 535 | case 'object': |
| 536 | if ($args[0] instanceof self) { |
| 537 | $M = $args[0]; |
| 538 | } else { |
| 539 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 540 | } |
| 541 | |
| 542 | break; |
| 543 | case 'array': |
| 544 | $M = new self($args[0]); |
| 545 | |
| 546 | break; |
| 547 | default: |
| 548 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 549 | |
| 550 | break; |
| 551 | } |
| 552 | $this->checkMatrixDimensions($M); |
| 553 | for ($i = 0; $i < $this->m; ++$i) { |
| 554 | for ($j = 0; $j < $this->n; ++$j) { |
| 555 | $validValues = true; |
| 556 | $value = $M->get($i, $j); |
| 557 | if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) { |
| 558 | $this->A[$i][$j] = trim($this->A[$i][$j], '"'); |
| 559 | $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]); |
| 560 | } |
| 561 | if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) { |
| 562 | $value = trim($value, '"'); |
| 563 | $validValues &= StringHelper::convertToNumberIfFraction($value); |
| 564 | } |
| 565 | if ($validValues) { |
| 566 | $this->A[$i][$j] += $value; |
| 567 | } else { |
| 568 | $this->A[$i][$j] = Functions::NAN(); |
| 569 | } |
| 570 | } |
| 571 | } |
| 572 | |
| 573 | return $this; |
| 574 | } |
| 575 | |
| 576 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 577 | } |
| 578 | |
| 579 | /** |
| 580 | * minus. |
| 581 | * |
| 582 | * A - B |
| 583 | * |
| 584 | * @param mixed $B Matrix/Array |
| 585 | * |
| 586 | * @return Matrix Sum |
| 587 | */ |
| 588 | public function minus(...$args) |
| 589 | { |
| 590 | if (count($args) > 0) { |
| 591 | $match = implode(',', array_map('gettype', $args)); |
| 592 | |
| 593 | switch ($match) { |
| 594 | case 'object': |
| 595 | if ($args[0] instanceof self) { |
| 596 | $M = $args[0]; |
| 597 | } else { |
| 598 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 599 | } |
| 600 | |
| 601 | break; |
| 602 | case 'array': |
| 603 | $M = new self($args[0]); |
| 604 | |
| 605 | break; |
| 606 | default: |
| 607 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 608 | |
| 609 | break; |
| 610 | } |
| 611 | $this->checkMatrixDimensions($M); |
| 612 | for ($i = 0; $i < $this->m; ++$i) { |
| 613 | for ($j = 0; $j < $this->n; ++$j) { |
| 614 | $M->set($i, $j, $M->get($i, $j) - $this->A[$i][$j]); |
| 615 | } |
| 616 | } |
| 617 | |
| 618 | return $M; |
| 619 | } |
| 620 | |
| 621 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 622 | } |
| 623 | |
| 624 | /** |
| 625 | * minusEquals. |
| 626 | * |
| 627 | * A = A - B |
| 628 | * |
| 629 | * @param mixed $B Matrix/Array |
| 630 | * |
| 631 | * @return Matrix Sum |
| 632 | */ |
| 633 | public function minusEquals(...$args) |
| 634 | { |
| 635 | if (count($args) > 0) { |
| 636 | $match = implode(',', array_map('gettype', $args)); |
| 637 | |
| 638 | switch ($match) { |
| 639 | case 'object': |
| 640 | if ($args[0] instanceof self) { |
| 641 | $M = $args[0]; |
| 642 | } else { |
| 643 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 644 | } |
| 645 | |
| 646 | break; |
| 647 | case 'array': |
| 648 | $M = new self($args[0]); |
| 649 | |
| 650 | break; |
| 651 | default: |
| 652 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 653 | |
| 654 | break; |
| 655 | } |
| 656 | $this->checkMatrixDimensions($M); |
| 657 | for ($i = 0; $i < $this->m; ++$i) { |
| 658 | for ($j = 0; $j < $this->n; ++$j) { |
| 659 | $validValues = true; |
| 660 | $value = $M->get($i, $j); |
| 661 | if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) { |
| 662 | $this->A[$i][$j] = trim($this->A[$i][$j], '"'); |
| 663 | $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]); |
| 664 | } |
| 665 | if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) { |
| 666 | $value = trim($value, '"'); |
| 667 | $validValues &= StringHelper::convertToNumberIfFraction($value); |
| 668 | } |
| 669 | if ($validValues) { |
| 670 | $this->A[$i][$j] -= $value; |
| 671 | } else { |
| 672 | $this->A[$i][$j] = Functions::NAN(); |
| 673 | } |
| 674 | } |
| 675 | } |
| 676 | |
| 677 | return $this; |
| 678 | } |
| 679 | |
| 680 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 681 | } |
| 682 | |
| 683 | /** |
| 684 | * arrayTimes. |
| 685 | * |
| 686 | * Element-by-element multiplication |
| 687 | * Cij = Aij * Bij |
| 688 | * |
| 689 | * @param mixed $B Matrix/Array |
| 690 | * |
| 691 | * @return Matrix Matrix Cij |
| 692 | */ |
| 693 | public function arrayTimes(...$args) |
| 694 | { |
| 695 | if (count($args) > 0) { |
| 696 | $match = implode(',', array_map('gettype', $args)); |
| 697 | |
| 698 | switch ($match) { |
| 699 | case 'object': |
| 700 | if ($args[0] instanceof self) { |
| 701 | $M = $args[0]; |
| 702 | } else { |
| 703 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 704 | } |
| 705 | |
| 706 | break; |
| 707 | case 'array': |
| 708 | $M = new self($args[0]); |
| 709 | |
| 710 | break; |
| 711 | default: |
| 712 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 713 | |
| 714 | break; |
| 715 | } |
| 716 | $this->checkMatrixDimensions($M); |
| 717 | for ($i = 0; $i < $this->m; ++$i) { |
| 718 | for ($j = 0; $j < $this->n; ++$j) { |
| 719 | $M->set($i, $j, $M->get($i, $j) * $this->A[$i][$j]); |
| 720 | } |
| 721 | } |
| 722 | |
| 723 | return $M; |
| 724 | } |
| 725 | |
| 726 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 727 | } |
| 728 | |
| 729 | /** |
| 730 | * arrayTimesEquals. |
| 731 | * |
| 732 | * Element-by-element multiplication |
| 733 | * Aij = Aij * Bij |
| 734 | * |
| 735 | * @param mixed $B Matrix/Array |
| 736 | * |
| 737 | * @return Matrix Matrix Aij |
| 738 | */ |
| 739 | public function arrayTimesEquals(...$args) |
| 740 | { |
| 741 | if (count($args) > 0) { |
| 742 | $match = implode(',', array_map('gettype', $args)); |
| 743 | |
| 744 | switch ($match) { |
| 745 | case 'object': |
| 746 | if ($args[0] instanceof self) { |
| 747 | $M = $args[0]; |
| 748 | } else { |
| 749 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 750 | } |
| 751 | |
| 752 | break; |
| 753 | case 'array': |
| 754 | $M = new self($args[0]); |
| 755 | |
| 756 | break; |
| 757 | default: |
| 758 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 759 | |
| 760 | break; |
| 761 | } |
| 762 | $this->checkMatrixDimensions($M); |
| 763 | for ($i = 0; $i < $this->m; ++$i) { |
| 764 | for ($j = 0; $j < $this->n; ++$j) { |
| 765 | $validValues = true; |
| 766 | $value = $M->get($i, $j); |
| 767 | if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) { |
| 768 | $this->A[$i][$j] = trim($this->A[$i][$j], '"'); |
| 769 | $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]); |
| 770 | } |
| 771 | if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) { |
| 772 | $value = trim($value, '"'); |
| 773 | $validValues &= StringHelper::convertToNumberIfFraction($value); |
| 774 | } |
| 775 | if ($validValues) { |
| 776 | $this->A[$i][$j] *= $value; |
| 777 | } else { |
| 778 | $this->A[$i][$j] = Functions::NAN(); |
| 779 | } |
| 780 | } |
| 781 | } |
| 782 | |
| 783 | return $this; |
| 784 | } |
| 785 | |
| 786 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 787 | } |
| 788 | |
| 789 | /** |
| 790 | * arrayRightDivide. |
| 791 | * |
| 792 | * Element-by-element right division |
| 793 | * A / B |
| 794 | * |
| 795 | * @param Matrix $B Matrix B |
| 796 | * |
| 797 | * @return Matrix Division result |
| 798 | */ |
| 799 | public function arrayRightDivide(...$args) |
| 800 | { |
| 801 | if (count($args) > 0) { |
| 802 | $match = implode(',', array_map('gettype', $args)); |
| 803 | |
| 804 | switch ($match) { |
| 805 | case 'object': |
| 806 | if ($args[0] instanceof self) { |
| 807 | $M = $args[0]; |
| 808 | } else { |
| 809 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 810 | } |
| 811 | |
| 812 | break; |
| 813 | case 'array': |
| 814 | $M = new self($args[0]); |
| 815 | |
| 816 | break; |
| 817 | default: |
| 818 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 819 | |
| 820 | break; |
| 821 | } |
| 822 | $this->checkMatrixDimensions($M); |
| 823 | for ($i = 0; $i < $this->m; ++$i) { |
| 824 | for ($j = 0; $j < $this->n; ++$j) { |
| 825 | $validValues = true; |
| 826 | $value = $M->get($i, $j); |
| 827 | if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) { |
| 828 | $this->A[$i][$j] = trim($this->A[$i][$j], '"'); |
| 829 | $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]); |
| 830 | } |
| 831 | if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) { |
| 832 | $value = trim($value, '"'); |
| 833 | $validValues &= StringHelper::convertToNumberIfFraction($value); |
| 834 | } |
| 835 | if ($validValues) { |
| 836 | if ($value == 0) { |
| 837 | // Trap for Divide by Zero error |
| 838 | $M->set($i, $j, '#DIV/0!'); |
| 839 | } else { |
| 840 | $M->set($i, $j, $this->A[$i][$j] / $value); |
| 841 | } |
| 842 | } else { |
| 843 | $M->set($i, $j, Functions::NAN()); |
| 844 | } |
| 845 | } |
| 846 | } |
| 847 | |
| 848 | return $M; |
| 849 | } |
| 850 | |
| 851 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 852 | } |
| 853 | |
| 854 | /** |
| 855 | * arrayRightDivideEquals. |
| 856 | * |
| 857 | * Element-by-element right division |
| 858 | * Aij = Aij / Bij |
| 859 | * |
| 860 | * @param mixed $B Matrix/Array |
| 861 | * |
| 862 | * @return Matrix Matrix Aij |
| 863 | */ |
| 864 | public function arrayRightDivideEquals(...$args) |
| 865 | { |
| 866 | if (count($args) > 0) { |
| 867 | $match = implode(',', array_map('gettype', $args)); |
| 868 | |
| 869 | switch ($match) { |
| 870 | case 'object': |
| 871 | if ($args[0] instanceof self) { |
| 872 | $M = $args[0]; |
| 873 | } else { |
| 874 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 875 | } |
| 876 | |
| 877 | break; |
| 878 | case 'array': |
| 879 | $M = new self($args[0]); |
| 880 | |
| 881 | break; |
| 882 | default: |
| 883 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 884 | |
| 885 | break; |
| 886 | } |
| 887 | $this->checkMatrixDimensions($M); |
| 888 | for ($i = 0; $i < $this->m; ++$i) { |
| 889 | for ($j = 0; $j < $this->n; ++$j) { |
| 890 | $this->A[$i][$j] = $this->A[$i][$j] / $M->get($i, $j); |
| 891 | } |
| 892 | } |
| 893 | |
| 894 | return $M; |
| 895 | } |
| 896 | |
| 897 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 898 | } |
| 899 | |
| 900 | /** |
| 901 | * arrayLeftDivide. |
| 902 | * |
| 903 | * Element-by-element Left division |
| 904 | * A / B |
| 905 | * |
| 906 | * @param Matrix $B Matrix B |
| 907 | * |
| 908 | * @return Matrix Division result |
| 909 | */ |
| 910 | public function arrayLeftDivide(...$args) |
| 911 | { |
| 912 | if (count($args) > 0) { |
| 913 | $match = implode(',', array_map('gettype', $args)); |
| 914 | |
| 915 | switch ($match) { |
| 916 | case 'object': |
| 917 | if ($args[0] instanceof self) { |
| 918 | $M = $args[0]; |
| 919 | } else { |
| 920 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 921 | } |
| 922 | |
| 923 | break; |
| 924 | case 'array': |
| 925 | $M = new self($args[0]); |
| 926 | |
| 927 | break; |
| 928 | default: |
| 929 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 930 | |
| 931 | break; |
| 932 | } |
| 933 | $this->checkMatrixDimensions($M); |
| 934 | for ($i = 0; $i < $this->m; ++$i) { |
| 935 | for ($j = 0; $j < $this->n; ++$j) { |
| 936 | $M->set($i, $j, $M->get($i, $j) / $this->A[$i][$j]); |
| 937 | } |
| 938 | } |
| 939 | |
| 940 | return $M; |
| 941 | } |
| 942 | |
| 943 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 944 | } |
| 945 | |
| 946 | /** |
| 947 | * arrayLeftDivideEquals. |
| 948 | * |
| 949 | * Element-by-element Left division |
| 950 | * Aij = Aij / Bij |
| 951 | * |
| 952 | * @param mixed $B Matrix/Array |
| 953 | * |
| 954 | * @return Matrix Matrix Aij |
| 955 | */ |
| 956 | public function arrayLeftDivideEquals(...$args) |
| 957 | { |
| 958 | if (count($args) > 0) { |
| 959 | $match = implode(',', array_map('gettype', $args)); |
| 960 | |
| 961 | switch ($match) { |
| 962 | case 'object': |
| 963 | if ($args[0] instanceof self) { |
| 964 | $M = $args[0]; |
| 965 | } else { |
| 966 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 967 | } |
| 968 | |
| 969 | break; |
| 970 | case 'array': |
| 971 | $M = new self($args[0]); |
| 972 | |
| 973 | break; |
| 974 | default: |
| 975 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 976 | |
| 977 | break; |
| 978 | } |
| 979 | $this->checkMatrixDimensions($M); |
| 980 | for ($i = 0; $i < $this->m; ++$i) { |
| 981 | for ($j = 0; $j < $this->n; ++$j) { |
| 982 | $this->A[$i][$j] = $M->get($i, $j) / $this->A[$i][$j]; |
| 983 | } |
| 984 | } |
| 985 | |
| 986 | return $M; |
| 987 | } |
| 988 | |
| 989 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 990 | } |
| 991 | |
| 992 | /** |
| 993 | * times. |
| 994 | * |
| 995 | * Matrix multiplication |
| 996 | * |
| 997 | * @param mixed $n Matrix/Array/Scalar |
| 998 | * |
| 999 | * @return Matrix Product |
| 1000 | */ |
| 1001 | public function times(...$args) |
| 1002 | { |
| 1003 | if (count($args) > 0) { |
| 1004 | $match = implode(',', array_map('gettype', $args)); |
| 1005 | |
| 1006 | switch ($match) { |
| 1007 | case 'object': |
| 1008 | if ($args[0] instanceof self) { |
| 1009 | $B = $args[0]; |
| 1010 | } else { |
| 1011 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 1012 | } |
| 1013 | if ($this->n == $B->m) { |
| 1014 | $C = new self($this->m, $B->n); |
| 1015 | for ($j = 0; $j < $B->n; ++$j) { |
| 1016 | $Bcolj = []; |
| 1017 | for ($k = 0; $k < $this->n; ++$k) { |
| 1018 | $Bcolj[$k] = $B->A[$k][$j]; |
| 1019 | } |
| 1020 | for ($i = 0; $i < $this->m; ++$i) { |
| 1021 | $Arowi = $this->A[$i]; |
| 1022 | $s = 0; |
| 1023 | for ($k = 0; $k < $this->n; ++$k) { |
| 1024 | $s += $Arowi[$k] * $Bcolj[$k]; |
| 1025 | } |
| 1026 | $C->A[$i][$j] = $s; |
| 1027 | } |
| 1028 | } |
| 1029 | |
| 1030 | return $C; |
| 1031 | } |
| 1032 | |
| 1033 | throw new CalculationException(self::MATRIX_DIMENSION_EXCEPTION); |
| 1034 | case 'array': |
| 1035 | $B = new self($args[0]); |
| 1036 | if ($this->n == $B->m) { |
| 1037 | $C = new self($this->m, $B->n); |
| 1038 | for ($i = 0; $i < $C->m; ++$i) { |
| 1039 | for ($j = 0; $j < $C->n; ++$j) { |
| 1040 | $s = '0'; |
| 1041 | for ($k = 0; $k < $C->n; ++$k) { |
| 1042 | $s += $this->A[$i][$k] * $B->A[$k][$j]; |
| 1043 | } |
| 1044 | $C->A[$i][$j] = $s; |
| 1045 | } |
| 1046 | } |
| 1047 | |
| 1048 | return $C; |
| 1049 | } |
| 1050 | |
| 1051 | throw new CalculationException(self::MATRIX_DIMENSION_EXCEPTION); |
| 1052 | case 'integer': |
| 1053 | $C = new self($this->A); |
| 1054 | for ($i = 0; $i < $C->m; ++$i) { |
| 1055 | for ($j = 0; $j < $C->n; ++$j) { |
| 1056 | $C->A[$i][$j] *= $args[0]; |
| 1057 | } |
| 1058 | } |
| 1059 | |
| 1060 | return $C; |
| 1061 | case 'double': |
| 1062 | $C = new self($this->m, $this->n); |
| 1063 | for ($i = 0; $i < $C->m; ++$i) { |
| 1064 | for ($j = 0; $j < $C->n; ++$j) { |
| 1065 | $C->A[$i][$j] = $args[0] * $this->A[$i][$j]; |
| 1066 | } |
| 1067 | } |
| 1068 | |
| 1069 | return $C; |
| 1070 | case 'float': |
| 1071 | $C = new self($this->A); |
| 1072 | for ($i = 0; $i < $C->m; ++$i) { |
| 1073 | for ($j = 0; $j < $C->n; ++$j) { |
| 1074 | $C->A[$i][$j] *= $args[0]; |
| 1075 | } |
| 1076 | } |
| 1077 | |
| 1078 | return $C; |
| 1079 | default: |
| 1080 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 1081 | } |
| 1082 | } else { |
| 1083 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 1084 | } |
| 1085 | } |
| 1086 | |
| 1087 | /** |
| 1088 | * power. |
| 1089 | * |
| 1090 | * A = A ^ B |
| 1091 | * |
| 1092 | * @param mixed $B Matrix/Array |
| 1093 | * |
| 1094 | * @return Matrix Sum |
| 1095 | */ |
| 1096 | public function power(...$args) |
| 1097 | { |
| 1098 | if (count($args) > 0) { |
| 1099 | $match = implode(',', array_map('gettype', $args)); |
| 1100 | |
| 1101 | switch ($match) { |
| 1102 | case 'object': |
| 1103 | if ($args[0] instanceof self) { |
| 1104 | $M = $args[0]; |
| 1105 | } else { |
| 1106 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 1107 | } |
| 1108 | |
| 1109 | break; |
| 1110 | case 'array': |
| 1111 | $M = new self($args[0]); |
| 1112 | |
| 1113 | break; |
| 1114 | default: |
| 1115 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 1116 | |
| 1117 | break; |
| 1118 | } |
| 1119 | $this->checkMatrixDimensions($M); |
| 1120 | for ($i = 0; $i < $this->m; ++$i) { |
| 1121 | for ($j = 0; $j < $this->n; ++$j) { |
| 1122 | $validValues = true; |
| 1123 | $value = $M->get($i, $j); |
| 1124 | if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) { |
| 1125 | $this->A[$i][$j] = trim($this->A[$i][$j], '"'); |
| 1126 | $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]); |
| 1127 | } |
| 1128 | if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) { |
| 1129 | $value = trim($value, '"'); |
| 1130 | $validValues &= StringHelper::convertToNumberIfFraction($value); |
| 1131 | } |
| 1132 | if ($validValues) { |
| 1133 | $this->A[$i][$j] = pow($this->A[$i][$j], $value); |
| 1134 | } else { |
| 1135 | $this->A[$i][$j] = Functions::NAN(); |
| 1136 | } |
| 1137 | } |
| 1138 | } |
| 1139 | |
| 1140 | return $this; |
| 1141 | } |
| 1142 | |
| 1143 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 1144 | } |
| 1145 | |
| 1146 | /** |
| 1147 | * concat. |
| 1148 | * |
| 1149 | * A = A & B |
| 1150 | * |
| 1151 | * @param mixed $B Matrix/Array |
| 1152 | * |
| 1153 | * @return Matrix Sum |
| 1154 | */ |
| 1155 | public function concat(...$args) |
| 1156 | { |
| 1157 | if (count($args) > 0) { |
| 1158 | $match = implode(',', array_map('gettype', $args)); |
| 1159 | |
| 1160 | switch ($match) { |
| 1161 | case 'object': |
| 1162 | if ($args[0] instanceof self) { |
| 1163 | $M = $args[0]; |
| 1164 | } else { |
| 1165 | throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION); |
| 1166 | } |
| 1167 | |
| 1168 | break; |
| 1169 | case 'array': |
| 1170 | $M = new self($args[0]); |
| 1171 | |
| 1172 | break; |
| 1173 | default: |
| 1174 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 1175 | |
| 1176 | break; |
| 1177 | } |
| 1178 | $this->checkMatrixDimensions($M); |
| 1179 | for ($i = 0; $i < $this->m; ++$i) { |
| 1180 | for ($j = 0; $j < $this->n; ++$j) { |
| 1181 | $this->A[$i][$j] = trim($this->A[$i][$j], '"') . trim($M->get($i, $j), '"'); |
| 1182 | } |
| 1183 | } |
| 1184 | |
| 1185 | return $this; |
| 1186 | } |
| 1187 | |
| 1188 | throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION); |
| 1189 | } |
| 1190 | |
| 1191 | /** |
| 1192 | * Solve A*X = B. |
| 1193 | * |
| 1194 | * @param Matrix $B Right hand side |
| 1195 | * |
| 1196 | * @return Matrix ... Solution if A is square, least squares solution otherwise |
| 1197 | */ |
| 1198 | public function solve($B) |
| 1199 | { |
| 1200 | if ($this->m == $this->n) { |
| 1201 | $LU = new LUDecomposition($this); |
| 1202 | |
| 1203 | return $LU->solve($B); |
| 1204 | } |
| 1205 | $QR = new QRDecomposition($this); |
| 1206 | |
| 1207 | return $QR->solve($B); |
| 1208 | } |
| 1209 | |
| 1210 | /** |
| 1211 | * Matrix inverse or pseudoinverse. |
| 1212 | * |
| 1213 | * @return Matrix ... Inverse(A) if A is square, pseudoinverse otherwise. |
| 1214 | */ |
| 1215 | public function inverse() |
| 1216 | { |
| 1217 | return $this->solve($this->identity($this->m, $this->m)); |
| 1218 | } |
| 1219 | |
| 1220 | /** |
| 1221 | * det. |
| 1222 | * |
| 1223 | * Calculate determinant |
| 1224 | * |
| 1225 | * @return float Determinant |
| 1226 | */ |
| 1227 | public function det() |
| 1228 | { |
| 1229 | $L = new LUDecomposition($this); |
| 1230 | |
| 1231 | return $L->det(); |
| 1232 | } |
| 1233 | } |
| 1234 |