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/
vendor
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phpoffice
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phpspreadsheet
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src
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PhpSpreadsheet
/
Calculation
/
MathTrig.php
MathTrig.php in Visualizer – Tables & Charts Manager with Built-in AI Generator 3.9.4, at vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/MathTrig.php
| 1 | <?php |
| 2 | |
| 3 | namespace PhpOffice\PhpSpreadsheet\Calculation; |
| 4 | |
| 5 | use Matrix\Exception as MatrixException; |
| 6 | use Matrix\Matrix; |
| 7 | |
| 8 | class MathTrig |
| 9 | { |
| 10 | // |
| 11 | // Private method to return an array of the factors of the input value |
| 12 | // |
| 13 | private static function factors($value) |
| 14 | { |
| 15 | $startVal = floor(sqrt($value)); |
| 16 | |
| 17 | $factorArray = []; |
| 18 | for ($i = $startVal; $i > 1; --$i) { |
| 19 | if (($value % $i) == 0) { |
| 20 | $factorArray = array_merge($factorArray, self::factors($value / $i)); |
| 21 | $factorArray = array_merge($factorArray, self::factors($i)); |
| 22 | if ($i <= sqrt($value)) { |
| 23 | break; |
| 24 | } |
| 25 | } |
| 26 | } |
| 27 | if (!empty($factorArray)) { |
| 28 | rsort($factorArray); |
| 29 | |
| 30 | return $factorArray; |
| 31 | } |
| 32 | |
| 33 | return [(int) $value]; |
| 34 | } |
| 35 | |
| 36 | private static function romanCut($num, $n) |
| 37 | { |
| 38 | return ($num - ($num % $n)) / $n; |
| 39 | } |
| 40 | |
| 41 | /** |
| 42 | * ATAN2. |
| 43 | * |
| 44 | * This function calculates the arc tangent of the two variables x and y. It is similar to |
| 45 | * calculating the arc tangent of y ÷ x, except that the signs of both arguments are used |
| 46 | * to determine the quadrant of the result. |
| 47 | * The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a |
| 48 | * point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between |
| 49 | * -pi and pi, excluding -pi. |
| 50 | * |
| 51 | * Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard |
| 52 | * PHP atan2() function, so we need to reverse them here before calling the PHP atan() function. |
| 53 | * |
| 54 | * Excel Function: |
| 55 | * ATAN2(xCoordinate,yCoordinate) |
| 56 | * |
| 57 | * @category Mathematical and Trigonometric Functions |
| 58 | * |
| 59 | * @param float $xCoordinate the x-coordinate of the point |
| 60 | * @param float $yCoordinate the y-coordinate of the point |
| 61 | * |
| 62 | * @return float the inverse tangent of the specified x- and y-coordinates |
| 63 | */ |
| 64 | public static function ATAN2($xCoordinate = null, $yCoordinate = null) |
| 65 | { |
| 66 | $xCoordinate = Functions::flattenSingleValue($xCoordinate); |
| 67 | $yCoordinate = Functions::flattenSingleValue($yCoordinate); |
| 68 | |
| 69 | $xCoordinate = ($xCoordinate !== null) ? $xCoordinate : 0.0; |
| 70 | $yCoordinate = ($yCoordinate !== null) ? $yCoordinate : 0.0; |
| 71 | |
| 72 | if (((is_numeric($xCoordinate)) || (is_bool($xCoordinate))) && |
| 73 | ((is_numeric($yCoordinate))) || (is_bool($yCoordinate))) { |
| 74 | $xCoordinate = (float) $xCoordinate; |
| 75 | $yCoordinate = (float) $yCoordinate; |
| 76 | |
| 77 | if (($xCoordinate == 0) && ($yCoordinate == 0)) { |
| 78 | return Functions::DIV0(); |
| 79 | } |
| 80 | |
| 81 | return atan2($yCoordinate, $xCoordinate); |
| 82 | } |
| 83 | |
| 84 | return Functions::VALUE(); |
| 85 | } |
| 86 | |
| 87 | /** |
| 88 | * CEILING. |
| 89 | * |
| 90 | * Returns number rounded up, away from zero, to the nearest multiple of significance. |
| 91 | * For example, if you want to avoid using pennies in your prices and your product is |
| 92 | * priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the |
| 93 | * nearest nickel. |
| 94 | * |
| 95 | * Excel Function: |
| 96 | * CEILING(number[,significance]) |
| 97 | * |
| 98 | * @category Mathematical and Trigonometric Functions |
| 99 | * |
| 100 | * @param float $number the number you want to round |
| 101 | * @param float $significance the multiple to which you want to round |
| 102 | * |
| 103 | * @return float Rounded Number |
| 104 | */ |
| 105 | public static function CEILING($number, $significance = null) |
| 106 | { |
| 107 | $number = Functions::flattenSingleValue($number); |
| 108 | $significance = Functions::flattenSingleValue($significance); |
| 109 | |
| 110 | if (($significance === null) && |
| 111 | (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)) { |
| 112 | $significance = $number / abs($number); |
| 113 | } |
| 114 | |
| 115 | if ((is_numeric($number)) && (is_numeric($significance))) { |
| 116 | if (($number == 0.0) || ($significance == 0.0)) { |
| 117 | return 0.0; |
| 118 | } elseif (self::SIGN($number) == self::SIGN($significance)) { |
| 119 | return ceil($number / $significance) * $significance; |
| 120 | } |
| 121 | |
| 122 | return Functions::NAN(); |
| 123 | } |
| 124 | |
| 125 | return Functions::VALUE(); |
| 126 | } |
| 127 | |
| 128 | /** |
| 129 | * COMBIN. |
| 130 | * |
| 131 | * Returns the number of combinations for a given number of items. Use COMBIN to |
| 132 | * determine the total possible number of groups for a given number of items. |
| 133 | * |
| 134 | * Excel Function: |
| 135 | * COMBIN(numObjs,numInSet) |
| 136 | * |
| 137 | * @category Mathematical and Trigonometric Functions |
| 138 | * |
| 139 | * @param int $numObjs Number of different objects |
| 140 | * @param int $numInSet Number of objects in each combination |
| 141 | * |
| 142 | * @return int Number of combinations |
| 143 | */ |
| 144 | public static function COMBIN($numObjs, $numInSet) |
| 145 | { |
| 146 | $numObjs = Functions::flattenSingleValue($numObjs); |
| 147 | $numInSet = Functions::flattenSingleValue($numInSet); |
| 148 | |
| 149 | if ((is_numeric($numObjs)) && (is_numeric($numInSet))) { |
| 150 | if ($numObjs < $numInSet) { |
| 151 | return Functions::NAN(); |
| 152 | } elseif ($numInSet < 0) { |
| 153 | return Functions::NAN(); |
| 154 | } |
| 155 | |
| 156 | return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet); |
| 157 | } |
| 158 | |
| 159 | return Functions::VALUE(); |
| 160 | } |
| 161 | |
| 162 | /** |
| 163 | * EVEN. |
| 164 | * |
| 165 | * Returns number rounded up to the nearest even integer. |
| 166 | * You can use this function for processing items that come in twos. For example, |
| 167 | * a packing crate accepts rows of one or two items. The crate is full when |
| 168 | * the number of items, rounded up to the nearest two, matches the crate's |
| 169 | * capacity. |
| 170 | * |
| 171 | * Excel Function: |
| 172 | * EVEN(number) |
| 173 | * |
| 174 | * @category Mathematical and Trigonometric Functions |
| 175 | * |
| 176 | * @param float $number Number to round |
| 177 | * |
| 178 | * @return int Rounded Number |
| 179 | */ |
| 180 | public static function EVEN($number) |
| 181 | { |
| 182 | $number = Functions::flattenSingleValue($number); |
| 183 | |
| 184 | if ($number === null) { |
| 185 | return 0; |
| 186 | } elseif (is_bool($number)) { |
| 187 | $number = (int) $number; |
| 188 | } |
| 189 | |
| 190 | if (is_numeric($number)) { |
| 191 | $significance = 2 * self::SIGN($number); |
| 192 | |
| 193 | return (int) self::CEILING($number, $significance); |
| 194 | } |
| 195 | |
| 196 | return Functions::VALUE(); |
| 197 | } |
| 198 | |
| 199 | /** |
| 200 | * FACT. |
| 201 | * |
| 202 | * Returns the factorial of a number. |
| 203 | * The factorial of a number is equal to 1*2*3*...* number. |
| 204 | * |
| 205 | * Excel Function: |
| 206 | * FACT(factVal) |
| 207 | * |
| 208 | * @category Mathematical and Trigonometric Functions |
| 209 | * |
| 210 | * @param float $factVal Factorial Value |
| 211 | * |
| 212 | * @return int Factorial |
| 213 | */ |
| 214 | public static function FACT($factVal) |
| 215 | { |
| 216 | $factVal = Functions::flattenSingleValue($factVal); |
| 217 | |
| 218 | if (is_numeric($factVal)) { |
| 219 | if ($factVal < 0) { |
| 220 | return Functions::NAN(); |
| 221 | } |
| 222 | $factLoop = floor($factVal); |
| 223 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) { |
| 224 | if ($factVal > $factLoop) { |
| 225 | return Functions::NAN(); |
| 226 | } |
| 227 | } |
| 228 | |
| 229 | $factorial = 1; |
| 230 | while ($factLoop > 1) { |
| 231 | $factorial *= $factLoop--; |
| 232 | } |
| 233 | |
| 234 | return $factorial; |
| 235 | } |
| 236 | |
| 237 | return Functions::VALUE(); |
| 238 | } |
| 239 | |
| 240 | /** |
| 241 | * FACTDOUBLE. |
| 242 | * |
| 243 | * Returns the double factorial of a number. |
| 244 | * |
| 245 | * Excel Function: |
| 246 | * FACTDOUBLE(factVal) |
| 247 | * |
| 248 | * @category Mathematical and Trigonometric Functions |
| 249 | * |
| 250 | * @param float $factVal Factorial Value |
| 251 | * |
| 252 | * @return int Double Factorial |
| 253 | */ |
| 254 | public static function FACTDOUBLE($factVal) |
| 255 | { |
| 256 | $factLoop = Functions::flattenSingleValue($factVal); |
| 257 | |
| 258 | if (is_numeric($factLoop)) { |
| 259 | $factLoop = floor($factLoop); |
| 260 | if ($factVal < 0) { |
| 261 | return Functions::NAN(); |
| 262 | } |
| 263 | $factorial = 1; |
| 264 | while ($factLoop > 1) { |
| 265 | $factorial *= $factLoop--; |
| 266 | --$factLoop; |
| 267 | } |
| 268 | |
| 269 | return $factorial; |
| 270 | } |
| 271 | |
| 272 | return Functions::VALUE(); |
| 273 | } |
| 274 | |
| 275 | /** |
| 276 | * FLOOR. |
| 277 | * |
| 278 | * Rounds number down, toward zero, to the nearest multiple of significance. |
| 279 | * |
| 280 | * Excel Function: |
| 281 | * FLOOR(number[,significance]) |
| 282 | * |
| 283 | * @category Mathematical and Trigonometric Functions |
| 284 | * |
| 285 | * @param float $number Number to round |
| 286 | * @param float $significance Significance |
| 287 | * |
| 288 | * @return float Rounded Number |
| 289 | */ |
| 290 | public static function FLOOR($number, $significance = null) |
| 291 | { |
| 292 | $number = Functions::flattenSingleValue($number); |
| 293 | $significance = Functions::flattenSingleValue($significance); |
| 294 | |
| 295 | if (($significance === null) && |
| 296 | (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)) { |
| 297 | $significance = $number / abs($number); |
| 298 | } |
| 299 | |
| 300 | if ((is_numeric($number)) && (is_numeric($significance))) { |
| 301 | if ($significance == 0.0) { |
| 302 | return Functions::DIV0(); |
| 303 | } elseif ($number == 0.0) { |
| 304 | return 0.0; |
| 305 | } elseif (self::SIGN($number) == self::SIGN($significance)) { |
| 306 | return floor($number / $significance) * $significance; |
| 307 | } |
| 308 | |
| 309 | return Functions::NAN(); |
| 310 | } |
| 311 | |
| 312 | return Functions::VALUE(); |
| 313 | } |
| 314 | |
| 315 | private static function evaluateGCD($a, $b) |
| 316 | { |
| 317 | return $b ? self::evaluateGCD($b, $a % $b) : $a; |
| 318 | } |
| 319 | |
| 320 | /** |
| 321 | * GCD. |
| 322 | * |
| 323 | * Returns the greatest common divisor of a series of numbers. |
| 324 | * The greatest common divisor is the largest integer that divides both |
| 325 | * number1 and number2 without a remainder. |
| 326 | * |
| 327 | * Excel Function: |
| 328 | * GCD(number1[,number2[, ...]]) |
| 329 | * |
| 330 | * @category Mathematical and Trigonometric Functions |
| 331 | * |
| 332 | * @param mixed ...$args Data values |
| 333 | * |
| 334 | * @return int Greatest Common Divisor |
| 335 | */ |
| 336 | public static function GCD(...$args) |
| 337 | { |
| 338 | $args = Functions::flattenArray($args); |
| 339 | // Loop through arguments |
| 340 | foreach (Functions::flattenArray($args) as $value) { |
| 341 | if (!is_numeric($value)) { |
| 342 | return Functions::VALUE(); |
| 343 | } elseif ($value < 0) { |
| 344 | return Functions::NAN(); |
| 345 | } |
| 346 | } |
| 347 | |
| 348 | $gcd = (int) array_pop($args); |
| 349 | do { |
| 350 | $gcd = self::evaluateGCD($gcd, (int) array_pop($args)); |
| 351 | } while (!empty($args)); |
| 352 | |
| 353 | return $gcd; |
| 354 | } |
| 355 | |
| 356 | /** |
| 357 | * INT. |
| 358 | * |
| 359 | * Casts a floating point value to an integer |
| 360 | * |
| 361 | * Excel Function: |
| 362 | * INT(number) |
| 363 | * |
| 364 | * @category Mathematical and Trigonometric Functions |
| 365 | * |
| 366 | * @param float $number Number to cast to an integer |
| 367 | * |
| 368 | * @return int Integer value |
| 369 | */ |
| 370 | public static function INT($number) |
| 371 | { |
| 372 | $number = Functions::flattenSingleValue($number); |
| 373 | |
| 374 | if ($number === null) { |
| 375 | return 0; |
| 376 | } elseif (is_bool($number)) { |
| 377 | return (int) $number; |
| 378 | } |
| 379 | if (is_numeric($number)) { |
| 380 | return (int) floor($number); |
| 381 | } |
| 382 | |
| 383 | return Functions::VALUE(); |
| 384 | } |
| 385 | |
| 386 | /** |
| 387 | * LCM. |
| 388 | * |
| 389 | * Returns the lowest common multiplier of a series of numbers |
| 390 | * The least common multiple is the smallest positive integer that is a multiple |
| 391 | * of all integer arguments number1, number2, and so on. Use LCM to add fractions |
| 392 | * with different denominators. |
| 393 | * |
| 394 | * Excel Function: |
| 395 | * LCM(number1[,number2[, ...]]) |
| 396 | * |
| 397 | * @category Mathematical and Trigonometric Functions |
| 398 | * |
| 399 | * @param mixed ...$args Data values |
| 400 | * |
| 401 | * @return int Lowest Common Multiplier |
| 402 | */ |
| 403 | public static function LCM(...$args) |
| 404 | { |
| 405 | $returnValue = 1; |
| 406 | $allPoweredFactors = []; |
| 407 | // Loop through arguments |
| 408 | foreach (Functions::flattenArray($args) as $value) { |
| 409 | if (!is_numeric($value)) { |
| 410 | return Functions::VALUE(); |
| 411 | } |
| 412 | if ($value == 0) { |
| 413 | return 0; |
| 414 | } elseif ($value < 0) { |
| 415 | return Functions::NAN(); |
| 416 | } |
| 417 | $myFactors = self::factors(floor($value)); |
| 418 | $myCountedFactors = array_count_values($myFactors); |
| 419 | $myPoweredFactors = []; |
| 420 | foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) { |
| 421 | $myPoweredFactors[$myCountedFactor] = pow($myCountedFactor, $myCountedPower); |
| 422 | } |
| 423 | foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) { |
| 424 | if (isset($allPoweredFactors[$myPoweredValue])) { |
| 425 | if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) { |
| 426 | $allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
| 427 | } |
| 428 | } else { |
| 429 | $allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
| 430 | } |
| 431 | } |
| 432 | } |
| 433 | foreach ($allPoweredFactors as $allPoweredFactor) { |
| 434 | $returnValue *= (int) $allPoweredFactor; |
| 435 | } |
| 436 | |
| 437 | return $returnValue; |
| 438 | } |
| 439 | |
| 440 | /** |
| 441 | * LOG_BASE. |
| 442 | * |
| 443 | * Returns the logarithm of a number to a specified base. The default base is 10. |
| 444 | * |
| 445 | * Excel Function: |
| 446 | * LOG(number[,base]) |
| 447 | * |
| 448 | * @category Mathematical and Trigonometric Functions |
| 449 | * |
| 450 | * @param float $number The positive real number for which you want the logarithm |
| 451 | * @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10. |
| 452 | * |
| 453 | * @return float |
| 454 | */ |
| 455 | public static function logBase($number = null, $base = 10) |
| 456 | { |
| 457 | $number = Functions::flattenSingleValue($number); |
| 458 | $base = ($base === null) ? 10 : (float) Functions::flattenSingleValue($base); |
| 459 | |
| 460 | if ((!is_numeric($base)) || (!is_numeric($number))) { |
| 461 | return Functions::VALUE(); |
| 462 | } |
| 463 | if (($base <= 0) || ($number <= 0)) { |
| 464 | return Functions::NAN(); |
| 465 | } |
| 466 | |
| 467 | return log($number, $base); |
| 468 | } |
| 469 | |
| 470 | /** |
| 471 | * MDETERM. |
| 472 | * |
| 473 | * Returns the matrix determinant of an array. |
| 474 | * |
| 475 | * Excel Function: |
| 476 | * MDETERM(array) |
| 477 | * |
| 478 | * @category Mathematical and Trigonometric Functions |
| 479 | * |
| 480 | * @param array $matrixValues A matrix of values |
| 481 | * |
| 482 | * @return float |
| 483 | */ |
| 484 | public static function MDETERM($matrixValues) |
| 485 | { |
| 486 | $matrixData = []; |
| 487 | if (!is_array($matrixValues)) { |
| 488 | $matrixValues = [[$matrixValues]]; |
| 489 | } |
| 490 | |
| 491 | $row = $maxColumn = 0; |
| 492 | foreach ($matrixValues as $matrixRow) { |
| 493 | if (!is_array($matrixRow)) { |
| 494 | $matrixRow = [$matrixRow]; |
| 495 | } |
| 496 | $column = 0; |
| 497 | foreach ($matrixRow as $matrixCell) { |
| 498 | if ((is_string($matrixCell)) || ($matrixCell === null)) { |
| 499 | return Functions::VALUE(); |
| 500 | } |
| 501 | $matrixData[$row][$column] = $matrixCell; |
| 502 | ++$column; |
| 503 | } |
| 504 | if ($column > $maxColumn) { |
| 505 | $maxColumn = $column; |
| 506 | } |
| 507 | ++$row; |
| 508 | } |
| 509 | |
| 510 | $matrix = new Matrix($matrixData); |
| 511 | if (!$matrix->isSquare()) { |
| 512 | return Functions::VALUE(); |
| 513 | } |
| 514 | |
| 515 | try { |
| 516 | return $matrix->determinant(); |
| 517 | } catch (MatrixException $ex) { |
| 518 | return Functions::VALUE(); |
| 519 | } |
| 520 | } |
| 521 | |
| 522 | /** |
| 523 | * MINVERSE. |
| 524 | * |
| 525 | * Returns the inverse matrix for the matrix stored in an array. |
| 526 | * |
| 527 | * Excel Function: |
| 528 | * MINVERSE(array) |
| 529 | * |
| 530 | * @category Mathematical and Trigonometric Functions |
| 531 | * |
| 532 | * @param array $matrixValues A matrix of values |
| 533 | * |
| 534 | * @return array |
| 535 | */ |
| 536 | public static function MINVERSE($matrixValues) |
| 537 | { |
| 538 | $matrixData = []; |
| 539 | if (!is_array($matrixValues)) { |
| 540 | $matrixValues = [[$matrixValues]]; |
| 541 | } |
| 542 | |
| 543 | $row = $maxColumn = 0; |
| 544 | foreach ($matrixValues as $matrixRow) { |
| 545 | if (!is_array($matrixRow)) { |
| 546 | $matrixRow = [$matrixRow]; |
| 547 | } |
| 548 | $column = 0; |
| 549 | foreach ($matrixRow as $matrixCell) { |
| 550 | if ((is_string($matrixCell)) || ($matrixCell === null)) { |
| 551 | return Functions::VALUE(); |
| 552 | } |
| 553 | $matrixData[$row][$column] = $matrixCell; |
| 554 | ++$column; |
| 555 | } |
| 556 | if ($column > $maxColumn) { |
| 557 | $maxColumn = $column; |
| 558 | } |
| 559 | ++$row; |
| 560 | } |
| 561 | |
| 562 | $matrix = new Matrix($matrixData); |
| 563 | if (!$matrix->isSquare()) { |
| 564 | return Functions::VALUE(); |
| 565 | } |
| 566 | |
| 567 | if ($matrix->determinant() == 0.0) { |
| 568 | return Functions::NAN(); |
| 569 | } |
| 570 | |
| 571 | try { |
| 572 | return $matrix->inverse()->toArray(); |
| 573 | } catch (MatrixException $ex) { |
| 574 | return Functions::VALUE(); |
| 575 | } |
| 576 | } |
| 577 | |
| 578 | /** |
| 579 | * MMULT. |
| 580 | * |
| 581 | * @param array $matrixData1 A matrix of values |
| 582 | * @param array $matrixData2 A matrix of values |
| 583 | * |
| 584 | * @return array |
| 585 | */ |
| 586 | public static function MMULT($matrixData1, $matrixData2) |
| 587 | { |
| 588 | $matrixAData = $matrixBData = []; |
| 589 | if (!is_array($matrixData1)) { |
| 590 | $matrixData1 = [[$matrixData1]]; |
| 591 | } |
| 592 | if (!is_array($matrixData2)) { |
| 593 | $matrixData2 = [[$matrixData2]]; |
| 594 | } |
| 595 | |
| 596 | try { |
| 597 | $rowA = 0; |
| 598 | foreach ($matrixData1 as $matrixRow) { |
| 599 | if (!is_array($matrixRow)) { |
| 600 | $matrixRow = [$matrixRow]; |
| 601 | } |
| 602 | $columnA = 0; |
| 603 | foreach ($matrixRow as $matrixCell) { |
| 604 | if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
| 605 | return Functions::VALUE(); |
| 606 | } |
| 607 | $matrixAData[$rowA][$columnA] = $matrixCell; |
| 608 | ++$columnA; |
| 609 | } |
| 610 | ++$rowA; |
| 611 | } |
| 612 | $matrixA = new Matrix($matrixAData); |
| 613 | $rowB = 0; |
| 614 | foreach ($matrixData2 as $matrixRow) { |
| 615 | if (!is_array($matrixRow)) { |
| 616 | $matrixRow = [$matrixRow]; |
| 617 | } |
| 618 | $columnB = 0; |
| 619 | foreach ($matrixRow as $matrixCell) { |
| 620 | if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
| 621 | return Functions::VALUE(); |
| 622 | } |
| 623 | $matrixBData[$rowB][$columnB] = $matrixCell; |
| 624 | ++$columnB; |
| 625 | } |
| 626 | ++$rowB; |
| 627 | } |
| 628 | $matrixB = new Matrix($matrixBData); |
| 629 | |
| 630 | if ($columnA != $rowB) { |
| 631 | return Functions::VALUE(); |
| 632 | } |
| 633 | |
| 634 | return $matrixA->multiply($matrixB)->toArray(); |
| 635 | } catch (MatrixException $ex) { |
| 636 | return Functions::VALUE(); |
| 637 | } |
| 638 | } |
| 639 | |
| 640 | /** |
| 641 | * MOD. |
| 642 | * |
| 643 | * @param int $a Dividend |
| 644 | * @param int $b Divisor |
| 645 | * |
| 646 | * @return int Remainder |
| 647 | */ |
| 648 | public static function MOD($a = 1, $b = 1) |
| 649 | { |
| 650 | $a = (float) Functions::flattenSingleValue($a); |
| 651 | $b = (float) Functions::flattenSingleValue($b); |
| 652 | |
| 653 | if ($b == 0.0) { |
| 654 | return Functions::DIV0(); |
| 655 | } elseif (($a < 0.0) && ($b > 0.0)) { |
| 656 | return $b - fmod(abs($a), $b); |
| 657 | } elseif (($a > 0.0) && ($b < 0.0)) { |
| 658 | return $b + fmod($a, abs($b)); |
| 659 | } |
| 660 | |
| 661 | return fmod($a, $b); |
| 662 | } |
| 663 | |
| 664 | /** |
| 665 | * MROUND. |
| 666 | * |
| 667 | * Rounds a number to the nearest multiple of a specified value |
| 668 | * |
| 669 | * @param float $number Number to round |
| 670 | * @param int $multiple Multiple to which you want to round $number |
| 671 | * |
| 672 | * @return float Rounded Number |
| 673 | */ |
| 674 | public static function MROUND($number, $multiple) |
| 675 | { |
| 676 | $number = Functions::flattenSingleValue($number); |
| 677 | $multiple = Functions::flattenSingleValue($multiple); |
| 678 | |
| 679 | if ((is_numeric($number)) && (is_numeric($multiple))) { |
| 680 | if ($multiple == 0) { |
| 681 | return 0; |
| 682 | } |
| 683 | if ((self::SIGN($number)) == (self::SIGN($multiple))) { |
| 684 | $multiplier = 1 / $multiple; |
| 685 | |
| 686 | return round($number * $multiplier) / $multiplier; |
| 687 | } |
| 688 | |
| 689 | return Functions::NAN(); |
| 690 | } |
| 691 | |
| 692 | return Functions::VALUE(); |
| 693 | } |
| 694 | |
| 695 | /** |
| 696 | * MULTINOMIAL. |
| 697 | * |
| 698 | * Returns the ratio of the factorial of a sum of values to the product of factorials. |
| 699 | * |
| 700 | * @param array of mixed Data Series |
| 701 | * |
| 702 | * @return float |
| 703 | */ |
| 704 | public static function MULTINOMIAL(...$args) |
| 705 | { |
| 706 | $summer = 0; |
| 707 | $divisor = 1; |
| 708 | // Loop through arguments |
| 709 | foreach (Functions::flattenArray($args) as $arg) { |
| 710 | // Is it a numeric value? |
| 711 | if (is_numeric($arg)) { |
| 712 | if ($arg < 1) { |
| 713 | return Functions::NAN(); |
| 714 | } |
| 715 | $summer += floor($arg); |
| 716 | $divisor *= self::FACT($arg); |
| 717 | } else { |
| 718 | return Functions::VALUE(); |
| 719 | } |
| 720 | } |
| 721 | |
| 722 | // Return |
| 723 | if ($summer > 0) { |
| 724 | $summer = self::FACT($summer); |
| 725 | |
| 726 | return $summer / $divisor; |
| 727 | } |
| 728 | |
| 729 | return 0; |
| 730 | } |
| 731 | |
| 732 | /** |
| 733 | * ODD. |
| 734 | * |
| 735 | * Returns number rounded up to the nearest odd integer. |
| 736 | * |
| 737 | * @param float $number Number to round |
| 738 | * |
| 739 | * @return int Rounded Number |
| 740 | */ |
| 741 | public static function ODD($number) |
| 742 | { |
| 743 | $number = Functions::flattenSingleValue($number); |
| 744 | |
| 745 | if ($number === null) { |
| 746 | return 1; |
| 747 | } elseif (is_bool($number)) { |
| 748 | return 1; |
| 749 | } elseif (is_numeric($number)) { |
| 750 | $significance = self::SIGN($number); |
| 751 | if ($significance == 0) { |
| 752 | return 1; |
| 753 | } |
| 754 | |
| 755 | $result = self::CEILING($number, $significance); |
| 756 | if ($result == self::EVEN($result)) { |
| 757 | $result += $significance; |
| 758 | } |
| 759 | |
| 760 | return (int) $result; |
| 761 | } |
| 762 | |
| 763 | return Functions::VALUE(); |
| 764 | } |
| 765 | |
| 766 | /** |
| 767 | * POWER. |
| 768 | * |
| 769 | * Computes x raised to the power y. |
| 770 | * |
| 771 | * @param float $x |
| 772 | * @param float $y |
| 773 | * |
| 774 | * @return float |
| 775 | */ |
| 776 | public static function POWER($x = 0, $y = 2) |
| 777 | { |
| 778 | $x = Functions::flattenSingleValue($x); |
| 779 | $y = Functions::flattenSingleValue($y); |
| 780 | |
| 781 | // Validate parameters |
| 782 | if ($x == 0.0 && $y == 0.0) { |
| 783 | return Functions::NAN(); |
| 784 | } elseif ($x == 0.0 && $y < 0.0) { |
| 785 | return Functions::DIV0(); |
| 786 | } |
| 787 | |
| 788 | // Return |
| 789 | $result = pow($x, $y); |
| 790 | |
| 791 | return (!is_nan($result) && !is_infinite($result)) ? $result : Functions::NAN(); |
| 792 | } |
| 793 | |
| 794 | /** |
| 795 | * PRODUCT. |
| 796 | * |
| 797 | * PRODUCT returns the product of all the values and cells referenced in the argument list. |
| 798 | * |
| 799 | * Excel Function: |
| 800 | * PRODUCT(value1[,value2[, ...]]) |
| 801 | * |
| 802 | * @category Mathematical and Trigonometric Functions |
| 803 | * |
| 804 | * @param mixed ...$args Data values |
| 805 | * |
| 806 | * @return float |
| 807 | */ |
| 808 | public static function PRODUCT(...$args) |
| 809 | { |
| 810 | // Return value |
| 811 | $returnValue = null; |
| 812 | |
| 813 | // Loop through arguments |
| 814 | foreach (Functions::flattenArray($args) as $arg) { |
| 815 | // Is it a numeric value? |
| 816 | if ((is_numeric($arg)) && (!is_string($arg))) { |
| 817 | if ($returnValue === null) { |
| 818 | $returnValue = $arg; |
| 819 | } else { |
| 820 | $returnValue *= $arg; |
| 821 | } |
| 822 | } |
| 823 | } |
| 824 | |
| 825 | // Return |
| 826 | if ($returnValue === null) { |
| 827 | return 0; |
| 828 | } |
| 829 | |
| 830 | return $returnValue; |
| 831 | } |
| 832 | |
| 833 | /** |
| 834 | * QUOTIENT. |
| 835 | * |
| 836 | * QUOTIENT function returns the integer portion of a division. Numerator is the divided number |
| 837 | * and denominator is the divisor. |
| 838 | * |
| 839 | * Excel Function: |
| 840 | * QUOTIENT(value1[,value2[, ...]]) |
| 841 | * |
| 842 | * @category Mathematical and Trigonometric Functions |
| 843 | * |
| 844 | * @param mixed ...$args Data values |
| 845 | * |
| 846 | * @return float |
| 847 | */ |
| 848 | public static function QUOTIENT(...$args) |
| 849 | { |
| 850 | // Return value |
| 851 | $returnValue = null; |
| 852 | |
| 853 | // Loop through arguments |
| 854 | foreach (Functions::flattenArray($args) as $arg) { |
| 855 | // Is it a numeric value? |
| 856 | if ((is_numeric($arg)) && (!is_string($arg))) { |
| 857 | if ($returnValue === null) { |
| 858 | $returnValue = ($arg == 0) ? 0 : $arg; |
| 859 | } else { |
| 860 | if (($returnValue == 0) || ($arg == 0)) { |
| 861 | $returnValue = 0; |
| 862 | } else { |
| 863 | $returnValue /= $arg; |
| 864 | } |
| 865 | } |
| 866 | } |
| 867 | } |
| 868 | |
| 869 | // Return |
| 870 | return (int) $returnValue; |
| 871 | } |
| 872 | |
| 873 | /** |
| 874 | * RAND. |
| 875 | * |
| 876 | * @param int $min Minimal value |
| 877 | * @param int $max Maximal value |
| 878 | * |
| 879 | * @return int Random number |
| 880 | */ |
| 881 | public static function RAND($min = 0, $max = 0) |
| 882 | { |
| 883 | $min = Functions::flattenSingleValue($min); |
| 884 | $max = Functions::flattenSingleValue($max); |
| 885 | |
| 886 | if ($min == 0 && $max == 0) { |
| 887 | return (mt_rand(0, 10000000)) / 10000000; |
| 888 | } |
| 889 | |
| 890 | return mt_rand($min, $max); |
| 891 | } |
| 892 | |
| 893 | public static function ROMAN($aValue, $style = 0) |
| 894 | { |
| 895 | $aValue = Functions::flattenSingleValue($aValue); |
| 896 | $style = ($style === null) ? 0 : (int) Functions::flattenSingleValue($style); |
| 897 | if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) { |
| 898 | return Functions::VALUE(); |
| 899 | } |
| 900 | $aValue = (int) $aValue; |
| 901 | if ($aValue == 0) { |
| 902 | return ''; |
| 903 | } |
| 904 | |
| 905 | $mill = ['', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM']; |
| 906 | $cent = ['', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM']; |
| 907 | $tens = ['', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC']; |
| 908 | $ones = ['', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX']; |
| 909 | |
| 910 | $roman = ''; |
| 911 | while ($aValue > 5999) { |
| 912 | $roman .= 'M'; |
| 913 | $aValue -= 1000; |
| 914 | } |
| 915 | $m = self::romanCut($aValue, 1000); |
| 916 | $aValue %= 1000; |
| 917 | $c = self::romanCut($aValue, 100); |
| 918 | $aValue %= 100; |
| 919 | $t = self::romanCut($aValue, 10); |
| 920 | $aValue %= 10; |
| 921 | |
| 922 | return $roman . $mill[$m] . $cent[$c] . $tens[$t] . $ones[$aValue]; |
| 923 | } |
| 924 | |
| 925 | /** |
| 926 | * ROUNDUP. |
| 927 | * |
| 928 | * Rounds a number up to a specified number of decimal places |
| 929 | * |
| 930 | * @param float $number Number to round |
| 931 | * @param int $digits Number of digits to which you want to round $number |
| 932 | * |
| 933 | * @return float Rounded Number |
| 934 | */ |
| 935 | public static function ROUNDUP($number, $digits) |
| 936 | { |
| 937 | $number = Functions::flattenSingleValue($number); |
| 938 | $digits = Functions::flattenSingleValue($digits); |
| 939 | |
| 940 | if ((is_numeric($number)) && (is_numeric($digits))) { |
| 941 | $significance = pow(10, (int) $digits); |
| 942 | if ($number < 0.0) { |
| 943 | return floor($number * $significance) / $significance; |
| 944 | } |
| 945 | |
| 946 | return ceil($number * $significance) / $significance; |
| 947 | } |
| 948 | |
| 949 | return Functions::VALUE(); |
| 950 | } |
| 951 | |
| 952 | /** |
| 953 | * ROUNDDOWN. |
| 954 | * |
| 955 | * Rounds a number down to a specified number of decimal places |
| 956 | * |
| 957 | * @param float $number Number to round |
| 958 | * @param int $digits Number of digits to which you want to round $number |
| 959 | * |
| 960 | * @return float Rounded Number |
| 961 | */ |
| 962 | public static function ROUNDDOWN($number, $digits) |
| 963 | { |
| 964 | $number = Functions::flattenSingleValue($number); |
| 965 | $digits = Functions::flattenSingleValue($digits); |
| 966 | |
| 967 | if ((is_numeric($number)) && (is_numeric($digits))) { |
| 968 | $significance = pow(10, (int) $digits); |
| 969 | if ($number < 0.0) { |
| 970 | return ceil($number * $significance) / $significance; |
| 971 | } |
| 972 | |
| 973 | return floor($number * $significance) / $significance; |
| 974 | } |
| 975 | |
| 976 | return Functions::VALUE(); |
| 977 | } |
| 978 | |
| 979 | /** |
| 980 | * SERIESSUM. |
| 981 | * |
| 982 | * Returns the sum of a power series |
| 983 | * |
| 984 | * @param float $x Input value to the power series |
| 985 | * @param float $n Initial power to which you want to raise $x |
| 986 | * @param float $m Step by which to increase $n for each term in the series |
| 987 | * @param array of mixed Data Series |
| 988 | * |
| 989 | * @return float |
| 990 | */ |
| 991 | public static function SERIESSUM(...$args) |
| 992 | { |
| 993 | $returnValue = 0; |
| 994 | |
| 995 | // Loop through arguments |
| 996 | $aArgs = Functions::flattenArray($args); |
| 997 | |
| 998 | $x = array_shift($aArgs); |
| 999 | $n = array_shift($aArgs); |
| 1000 | $m = array_shift($aArgs); |
| 1001 | |
| 1002 | if ((is_numeric($x)) && (is_numeric($n)) && (is_numeric($m))) { |
| 1003 | // Calculate |
| 1004 | $i = 0; |
| 1005 | foreach ($aArgs as $arg) { |
| 1006 | // Is it a numeric value? |
| 1007 | if ((is_numeric($arg)) && (!is_string($arg))) { |
| 1008 | $returnValue += $arg * pow($x, $n + ($m * $i++)); |
| 1009 | } else { |
| 1010 | return Functions::VALUE(); |
| 1011 | } |
| 1012 | } |
| 1013 | |
| 1014 | return $returnValue; |
| 1015 | } |
| 1016 | |
| 1017 | return Functions::VALUE(); |
| 1018 | } |
| 1019 | |
| 1020 | /** |
| 1021 | * SIGN. |
| 1022 | * |
| 1023 | * Determines the sign of a number. Returns 1 if the number is positive, zero (0) |
| 1024 | * if the number is 0, and -1 if the number is negative. |
| 1025 | * |
| 1026 | * @param float $number Number to round |
| 1027 | * |
| 1028 | * @return int sign value |
| 1029 | */ |
| 1030 | public static function SIGN($number) |
| 1031 | { |
| 1032 | $number = Functions::flattenSingleValue($number); |
| 1033 | |
| 1034 | if (is_bool($number)) { |
| 1035 | return (int) $number; |
| 1036 | } |
| 1037 | if (is_numeric($number)) { |
| 1038 | if ($number == 0.0) { |
| 1039 | return 0; |
| 1040 | } |
| 1041 | |
| 1042 | return $number / abs($number); |
| 1043 | } |
| 1044 | |
| 1045 | return Functions::VALUE(); |
| 1046 | } |
| 1047 | |
| 1048 | /** |
| 1049 | * SQRTPI. |
| 1050 | * |
| 1051 | * Returns the square root of (number * pi). |
| 1052 | * |
| 1053 | * @param float $number Number |
| 1054 | * |
| 1055 | * @return float Square Root of Number * Pi |
| 1056 | */ |
| 1057 | public static function SQRTPI($number) |
| 1058 | { |
| 1059 | $number = Functions::flattenSingleValue($number); |
| 1060 | |
| 1061 | if (is_numeric($number)) { |
| 1062 | if ($number < 0) { |
| 1063 | return Functions::NAN(); |
| 1064 | } |
| 1065 | |
| 1066 | return sqrt($number * M_PI); |
| 1067 | } |
| 1068 | |
| 1069 | return Functions::VALUE(); |
| 1070 | } |
| 1071 | |
| 1072 | protected static function filterHiddenArgs($cellReference, $args) |
| 1073 | { |
| 1074 | return array_filter( |
| 1075 | $args, |
| 1076 | function ($index) use ($cellReference) { |
| 1077 | list(, $row, $column) = explode('.', $index); |
| 1078 | |
| 1079 | return $cellReference->getWorksheet()->getRowDimension($row)->getVisible() && |
| 1080 | $cellReference->getWorksheet()->getColumnDimension($column)->getVisible(); |
| 1081 | }, |
| 1082 | ARRAY_FILTER_USE_KEY |
| 1083 | ); |
| 1084 | } |
| 1085 | |
| 1086 | protected static function filterFormulaArgs($cellReference, $args) |
| 1087 | { |
| 1088 | return array_filter( |
| 1089 | $args, |
| 1090 | function ($index) use ($cellReference) { |
| 1091 | list(, $row, $column) = explode('.', $index); |
| 1092 | if ($cellReference->getWorksheet()->cellExists($column . $row)) { |
| 1093 | //take this cell out if it contains the SUBTOTAL or AGGREGATE functions in a formula |
| 1094 | $isFormula = $cellReference->getWorksheet()->getCell($column . $row)->isFormula(); |
| 1095 | $cellFormula = !preg_match('/^=.*\b(SUBTOTAL|AGGREGATE)\s*\(/i', $cellReference->getWorksheet()->getCell($column . $row)->getValue()); |
| 1096 | |
| 1097 | return !$isFormula || $cellFormula; |
| 1098 | } |
| 1099 | |
| 1100 | return true; |
| 1101 | }, |
| 1102 | ARRAY_FILTER_USE_KEY |
| 1103 | ); |
| 1104 | } |
| 1105 | |
| 1106 | /** |
| 1107 | * SUBTOTAL. |
| 1108 | * |
| 1109 | * Returns a subtotal in a list or database. |
| 1110 | * |
| 1111 | * @param int the number 1 to 11 that specifies which function to |
| 1112 | * use in calculating subtotals within a range |
| 1113 | * list |
| 1114 | * Numbers 101 to 111 shadow the functions of 1 to 11 |
| 1115 | * but ignore any values in the range that are |
| 1116 | * in hidden rows or columns |
| 1117 | * @param array of mixed Data Series |
| 1118 | * |
| 1119 | * @return float |
| 1120 | */ |
| 1121 | public static function SUBTOTAL(...$args) |
| 1122 | { |
| 1123 | $cellReference = array_pop($args); |
| 1124 | $aArgs = Functions::flattenArrayIndexed($args); |
| 1125 | $subtotal = array_shift($aArgs); |
| 1126 | |
| 1127 | // Calculate |
| 1128 | if ((is_numeric($subtotal)) && (!is_string($subtotal))) { |
| 1129 | if ($subtotal > 100) { |
| 1130 | $aArgs = self::filterHiddenArgs($cellReference, $aArgs); |
| 1131 | $subtotal -= 100; |
| 1132 | } |
| 1133 | |
| 1134 | $aArgs = self::filterFormulaArgs($cellReference, $aArgs); |
| 1135 | switch ($subtotal) { |
| 1136 | case 1: |
| 1137 | return Statistical::AVERAGE($aArgs); |
| 1138 | case 2: |
| 1139 | return Statistical::COUNT($aArgs); |
| 1140 | case 3: |
| 1141 | return Statistical::COUNTA($aArgs); |
| 1142 | case 4: |
| 1143 | return Statistical::MAX($aArgs); |
| 1144 | case 5: |
| 1145 | return Statistical::MIN($aArgs); |
| 1146 | case 6: |
| 1147 | return self::PRODUCT($aArgs); |
| 1148 | case 7: |
| 1149 | return Statistical::STDEV($aArgs); |
| 1150 | case 8: |
| 1151 | return Statistical::STDEVP($aArgs); |
| 1152 | case 9: |
| 1153 | return self::SUM($aArgs); |
| 1154 | case 10: |
| 1155 | return Statistical::VARFunc($aArgs); |
| 1156 | case 11: |
| 1157 | return Statistical::VARP($aArgs); |
| 1158 | } |
| 1159 | } |
| 1160 | |
| 1161 | return Functions::VALUE(); |
| 1162 | } |
| 1163 | |
| 1164 | /** |
| 1165 | * SUM. |
| 1166 | * |
| 1167 | * SUM computes the sum of all the values and cells referenced in the argument list. |
| 1168 | * |
| 1169 | * Excel Function: |
| 1170 | * SUM(value1[,value2[, ...]]) |
| 1171 | * |
| 1172 | * @category Mathematical and Trigonometric Functions |
| 1173 | * |
| 1174 | * @param mixed ...$args Data values |
| 1175 | * |
| 1176 | * @return float |
| 1177 | */ |
| 1178 | public static function SUM(...$args) |
| 1179 | { |
| 1180 | $returnValue = 0; |
| 1181 | |
| 1182 | // Loop through the arguments |
| 1183 | foreach (Functions::flattenArray($args) as $arg) { |
| 1184 | // Is it a numeric value? |
| 1185 | if ((is_numeric($arg)) && (!is_string($arg))) { |
| 1186 | $returnValue += $arg; |
| 1187 | } |
| 1188 | } |
| 1189 | |
| 1190 | return $returnValue; |
| 1191 | } |
| 1192 | |
| 1193 | /** |
| 1194 | * SUMIF. |
| 1195 | * |
| 1196 | * Counts the number of cells that contain numbers within the list of arguments |
| 1197 | * |
| 1198 | * Excel Function: |
| 1199 | * SUMIF(value1[,value2[, ...]],condition) |
| 1200 | * |
| 1201 | * @category Mathematical and Trigonometric Functions |
| 1202 | * |
| 1203 | * @param mixed $aArgs Data values |
| 1204 | * @param string $condition the criteria that defines which cells will be summed |
| 1205 | * @param mixed $sumArgs |
| 1206 | * |
| 1207 | * @return float |
| 1208 | */ |
| 1209 | public static function SUMIF($aArgs, $condition, $sumArgs = []) |
| 1210 | { |
| 1211 | $returnValue = 0; |
| 1212 | |
| 1213 | $aArgs = Functions::flattenArray($aArgs); |
| 1214 | $sumArgs = Functions::flattenArray($sumArgs); |
| 1215 | if (empty($sumArgs)) { |
| 1216 | $sumArgs = $aArgs; |
| 1217 | } |
| 1218 | $condition = Functions::ifCondition($condition); |
| 1219 | // Loop through arguments |
| 1220 | foreach ($aArgs as $key => $arg) { |
| 1221 | if (!is_numeric($arg)) { |
| 1222 | $arg = str_replace('"', '""', $arg); |
| 1223 | $arg = Calculation::wrapResult(strtoupper($arg)); |
| 1224 | } |
| 1225 | |
| 1226 | $testCondition = '=' . $arg . $condition; |
| 1227 | $sumValue = array_key_exists($key, $sumArgs) ? $sumArgs[$key] : 0; |
| 1228 | |
| 1229 | if (is_numeric($sumValue) && |
| 1230 | Calculation::getInstance()->_calculateFormulaValue($testCondition)) { |
| 1231 | // Is it a value within our criteria and only numeric can be added to the result |
| 1232 | $returnValue += $sumValue; |
| 1233 | } |
| 1234 | } |
| 1235 | |
| 1236 | return $returnValue; |
| 1237 | } |
| 1238 | |
| 1239 | /** |
| 1240 | * SUMIFS. |
| 1241 | * |
| 1242 | * Counts the number of cells that contain numbers within the list of arguments |
| 1243 | * |
| 1244 | * Excel Function: |
| 1245 | * SUMIFS(value1[,value2[, ...]],condition) |
| 1246 | * |
| 1247 | * @category Mathematical and Trigonometric Functions |
| 1248 | * |
| 1249 | * @param mixed $args Data values |
| 1250 | * @param string $condition the criteria that defines which cells will be summed |
| 1251 | * |
| 1252 | * @return float |
| 1253 | */ |
| 1254 | public static function SUMIFS(...$args) |
| 1255 | { |
| 1256 | $arrayList = $args; |
| 1257 | |
| 1258 | // Return value |
| 1259 | $returnValue = 0; |
| 1260 | |
| 1261 | $sumArgs = Functions::flattenArray(array_shift($arrayList)); |
| 1262 | $aArgsArray = []; |
| 1263 | $conditions = []; |
| 1264 | |
| 1265 | while (count($arrayList) > 0) { |
| 1266 | $aArgsArray[] = Functions::flattenArray(array_shift($arrayList)); |
| 1267 | $conditions[] = Functions::ifCondition(array_shift($arrayList)); |
| 1268 | } |
| 1269 | |
| 1270 | // Loop through each sum and see if arguments and conditions are true |
| 1271 | foreach ($sumArgs as $index => $value) { |
| 1272 | $valid = true; |
| 1273 | |
| 1274 | foreach ($conditions as $cidx => $condition) { |
| 1275 | $arg = $aArgsArray[$cidx][$index]; |
| 1276 | |
| 1277 | // Loop through arguments |
| 1278 | if (!is_numeric($arg)) { |
| 1279 | $arg = Calculation::wrapResult(strtoupper($arg)); |
| 1280 | } |
| 1281 | $testCondition = '=' . $arg . $condition; |
| 1282 | if (!Calculation::getInstance()->_calculateFormulaValue($testCondition)) { |
| 1283 | // Is not a value within our criteria |
| 1284 | $valid = false; |
| 1285 | |
| 1286 | break; // if false found, don't need to check other conditions |
| 1287 | } |
| 1288 | } |
| 1289 | |
| 1290 | if ($valid) { |
| 1291 | $returnValue += $value; |
| 1292 | } |
| 1293 | } |
| 1294 | |
| 1295 | // Return |
| 1296 | return $returnValue; |
| 1297 | } |
| 1298 | |
| 1299 | /** |
| 1300 | * SUMPRODUCT. |
| 1301 | * |
| 1302 | * Excel Function: |
| 1303 | * SUMPRODUCT(value1[,value2[, ...]]) |
| 1304 | * |
| 1305 | * @category Mathematical and Trigonometric Functions |
| 1306 | * |
| 1307 | * @param mixed ...$args Data values |
| 1308 | * |
| 1309 | * @return float |
| 1310 | */ |
| 1311 | public static function SUMPRODUCT(...$args) |
| 1312 | { |
| 1313 | $arrayList = $args; |
| 1314 | |
| 1315 | $wrkArray = Functions::flattenArray(array_shift($arrayList)); |
| 1316 | $wrkCellCount = count($wrkArray); |
| 1317 | |
| 1318 | for ($i = 0; $i < $wrkCellCount; ++$i) { |
| 1319 | if ((!is_numeric($wrkArray[$i])) || (is_string($wrkArray[$i]))) { |
| 1320 | $wrkArray[$i] = 0; |
| 1321 | } |
| 1322 | } |
| 1323 | |
| 1324 | foreach ($arrayList as $matrixData) { |
| 1325 | $array2 = Functions::flattenArray($matrixData); |
| 1326 | $count = count($array2); |
| 1327 | if ($wrkCellCount != $count) { |
| 1328 | return Functions::VALUE(); |
| 1329 | } |
| 1330 | |
| 1331 | foreach ($array2 as $i => $val) { |
| 1332 | if ((!is_numeric($val)) || (is_string($val))) { |
| 1333 | $val = 0; |
| 1334 | } |
| 1335 | $wrkArray[$i] *= $val; |
| 1336 | } |
| 1337 | } |
| 1338 | |
| 1339 | return array_sum($wrkArray); |
| 1340 | } |
| 1341 | |
| 1342 | /** |
| 1343 | * SUMSQ. |
| 1344 | * |
| 1345 | * SUMSQ returns the sum of the squares of the arguments |
| 1346 | * |
| 1347 | * Excel Function: |
| 1348 | * SUMSQ(value1[,value2[, ...]]) |
| 1349 | * |
| 1350 | * @category Mathematical and Trigonometric Functions |
| 1351 | * |
| 1352 | * @param mixed ...$args Data values |
| 1353 | * |
| 1354 | * @return float |
| 1355 | */ |
| 1356 | public static function SUMSQ(...$args) |
| 1357 | { |
| 1358 | $returnValue = 0; |
| 1359 | |
| 1360 | // Loop through arguments |
| 1361 | foreach (Functions::flattenArray($args) as $arg) { |
| 1362 | // Is it a numeric value? |
| 1363 | if ((is_numeric($arg)) && (!is_string($arg))) { |
| 1364 | $returnValue += ($arg * $arg); |
| 1365 | } |
| 1366 | } |
| 1367 | |
| 1368 | return $returnValue; |
| 1369 | } |
| 1370 | |
| 1371 | /** |
| 1372 | * SUMX2MY2. |
| 1373 | * |
| 1374 | * @param mixed[] $matrixData1 Matrix #1 |
| 1375 | * @param mixed[] $matrixData2 Matrix #2 |
| 1376 | * |
| 1377 | * @return float |
| 1378 | */ |
| 1379 | public static function SUMX2MY2($matrixData1, $matrixData2) |
| 1380 | { |
| 1381 | $array1 = Functions::flattenArray($matrixData1); |
| 1382 | $array2 = Functions::flattenArray($matrixData2); |
| 1383 | $count = min(count($array1), count($array2)); |
| 1384 | |
| 1385 | $result = 0; |
| 1386 | for ($i = 0; $i < $count; ++$i) { |
| 1387 | if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
| 1388 | ((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
| 1389 | $result += ($array1[$i] * $array1[$i]) - ($array2[$i] * $array2[$i]); |
| 1390 | } |
| 1391 | } |
| 1392 | |
| 1393 | return $result; |
| 1394 | } |
| 1395 | |
| 1396 | /** |
| 1397 | * SUMX2PY2. |
| 1398 | * |
| 1399 | * @param mixed[] $matrixData1 Matrix #1 |
| 1400 | * @param mixed[] $matrixData2 Matrix #2 |
| 1401 | * |
| 1402 | * @return float |
| 1403 | */ |
| 1404 | public static function SUMX2PY2($matrixData1, $matrixData2) |
| 1405 | { |
| 1406 | $array1 = Functions::flattenArray($matrixData1); |
| 1407 | $array2 = Functions::flattenArray($matrixData2); |
| 1408 | $count = min(count($array1), count($array2)); |
| 1409 | |
| 1410 | $result = 0; |
| 1411 | for ($i = 0; $i < $count; ++$i) { |
| 1412 | if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
| 1413 | ((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
| 1414 | $result += ($array1[$i] * $array1[$i]) + ($array2[$i] * $array2[$i]); |
| 1415 | } |
| 1416 | } |
| 1417 | |
| 1418 | return $result; |
| 1419 | } |
| 1420 | |
| 1421 | /** |
| 1422 | * SUMXMY2. |
| 1423 | * |
| 1424 | * @param mixed[] $matrixData1 Matrix #1 |
| 1425 | * @param mixed[] $matrixData2 Matrix #2 |
| 1426 | * |
| 1427 | * @return float |
| 1428 | */ |
| 1429 | public static function SUMXMY2($matrixData1, $matrixData2) |
| 1430 | { |
| 1431 | $array1 = Functions::flattenArray($matrixData1); |
| 1432 | $array2 = Functions::flattenArray($matrixData2); |
| 1433 | $count = min(count($array1), count($array2)); |
| 1434 | |
| 1435 | $result = 0; |
| 1436 | for ($i = 0; $i < $count; ++$i) { |
| 1437 | if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
| 1438 | ((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
| 1439 | $result += ($array1[$i] - $array2[$i]) * ($array1[$i] - $array2[$i]); |
| 1440 | } |
| 1441 | } |
| 1442 | |
| 1443 | return $result; |
| 1444 | } |
| 1445 | |
| 1446 | /** |
| 1447 | * TRUNC. |
| 1448 | * |
| 1449 | * Truncates value to the number of fractional digits by number_digits. |
| 1450 | * |
| 1451 | * @param float $value |
| 1452 | * @param int $digits |
| 1453 | * |
| 1454 | * @return float Truncated value |
| 1455 | */ |
| 1456 | public static function TRUNC($value = 0, $digits = 0) |
| 1457 | { |
| 1458 | $value = Functions::flattenSingleValue($value); |
| 1459 | $digits = Functions::flattenSingleValue($digits); |
| 1460 | |
| 1461 | // Validate parameters |
| 1462 | if ((!is_numeric($value)) || (!is_numeric($digits))) { |
| 1463 | return Functions::VALUE(); |
| 1464 | } |
| 1465 | $digits = floor($digits); |
| 1466 | |
| 1467 | // Truncate |
| 1468 | $adjust = pow(10, $digits); |
| 1469 | |
| 1470 | if (($digits > 0) && (rtrim((int) ((abs($value) - abs((int) $value)) * $adjust), '0') < $adjust / 10)) { |
| 1471 | return $value; |
| 1472 | } |
| 1473 | |
| 1474 | return ((int) ($value * $adjust)) / $adjust; |
| 1475 | } |
| 1476 | |
| 1477 | /** |
| 1478 | * SEC. |
| 1479 | * |
| 1480 | * Returns the secant of an angle. |
| 1481 | * |
| 1482 | * @param float $angle Number |
| 1483 | * |
| 1484 | * @return float|string The secant of the angle |
| 1485 | */ |
| 1486 | public static function SEC($angle) |
| 1487 | { |
| 1488 | $angle = Functions::flattenSingleValue($angle); |
| 1489 | |
| 1490 | if (!is_numeric($angle)) { |
| 1491 | return Functions::VALUE(); |
| 1492 | } |
| 1493 | |
| 1494 | $result = cos($angle); |
| 1495 | |
| 1496 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
| 1497 | } |
| 1498 | |
| 1499 | /** |
| 1500 | * SECH. |
| 1501 | * |
| 1502 | * Returns the hyperbolic secant of an angle. |
| 1503 | * |
| 1504 | * @param float $angle Number |
| 1505 | * |
| 1506 | * @return float|string The hyperbolic secant of the angle |
| 1507 | */ |
| 1508 | public static function SECH($angle) |
| 1509 | { |
| 1510 | $angle = Functions::flattenSingleValue($angle); |
| 1511 | |
| 1512 | if (!is_numeric($angle)) { |
| 1513 | return Functions::VALUE(); |
| 1514 | } |
| 1515 | |
| 1516 | $result = cosh($angle); |
| 1517 | |
| 1518 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
| 1519 | } |
| 1520 | |
| 1521 | /** |
| 1522 | * CSC. |
| 1523 | * |
| 1524 | * Returns the cosecant of an angle. |
| 1525 | * |
| 1526 | * @param float $angle Number |
| 1527 | * |
| 1528 | * @return float|string The cosecant of the angle |
| 1529 | */ |
| 1530 | public static function CSC($angle) |
| 1531 | { |
| 1532 | $angle = Functions::flattenSingleValue($angle); |
| 1533 | |
| 1534 | if (!is_numeric($angle)) { |
| 1535 | return Functions::VALUE(); |
| 1536 | } |
| 1537 | |
| 1538 | $result = sin($angle); |
| 1539 | |
| 1540 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
| 1541 | } |
| 1542 | |
| 1543 | /** |
| 1544 | * CSCH. |
| 1545 | * |
| 1546 | * Returns the hyperbolic cosecant of an angle. |
| 1547 | * |
| 1548 | * @param float $angle Number |
| 1549 | * |
| 1550 | * @return float|string The hyperbolic cosecant of the angle |
| 1551 | */ |
| 1552 | public static function CSCH($angle) |
| 1553 | { |
| 1554 | $angle = Functions::flattenSingleValue($angle); |
| 1555 | |
| 1556 | if (!is_numeric($angle)) { |
| 1557 | return Functions::VALUE(); |
| 1558 | } |
| 1559 | |
| 1560 | $result = sinh($angle); |
| 1561 | |
| 1562 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
| 1563 | } |
| 1564 | |
| 1565 | /** |
| 1566 | * COT. |
| 1567 | * |
| 1568 | * Returns the cotangent of an angle. |
| 1569 | * |
| 1570 | * @param float $angle Number |
| 1571 | * |
| 1572 | * @return float|string The cotangent of the angle |
| 1573 | */ |
| 1574 | public static function COT($angle) |
| 1575 | { |
| 1576 | $angle = Functions::flattenSingleValue($angle); |
| 1577 | |
| 1578 | if (!is_numeric($angle)) { |
| 1579 | return Functions::VALUE(); |
| 1580 | } |
| 1581 | |
| 1582 | $result = tan($angle); |
| 1583 | |
| 1584 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
| 1585 | } |
| 1586 | |
| 1587 | /** |
| 1588 | * COTH. |
| 1589 | * |
| 1590 | * Returns the hyperbolic cotangent of an angle. |
| 1591 | * |
| 1592 | * @param float $angle Number |
| 1593 | * |
| 1594 | * @return float|string The hyperbolic cotangent of the angle |
| 1595 | */ |
| 1596 | public static function COTH($angle) |
| 1597 | { |
| 1598 | $angle = Functions::flattenSingleValue($angle); |
| 1599 | |
| 1600 | if (!is_numeric($angle)) { |
| 1601 | return Functions::VALUE(); |
| 1602 | } |
| 1603 | |
| 1604 | $result = tanh($angle); |
| 1605 | |
| 1606 | return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
| 1607 | } |
| 1608 | |
| 1609 | /** |
| 1610 | * ACOT. |
| 1611 | * |
| 1612 | * Returns the arccotangent of a number. |
| 1613 | * |
| 1614 | * @param float $number Number |
| 1615 | * |
| 1616 | * @return float|string The arccotangent of the number |
| 1617 | */ |
| 1618 | public static function ACOT($number) |
| 1619 | { |
| 1620 | $number = Functions::flattenSingleValue($number); |
| 1621 | |
| 1622 | if (!is_numeric($number)) { |
| 1623 | return Functions::VALUE(); |
| 1624 | } |
| 1625 | |
| 1626 | return (M_PI / 2) - atan($number); |
| 1627 | } |
| 1628 | |
| 1629 | /** |
| 1630 | * ACOTH. |
| 1631 | * |
| 1632 | * Returns the hyperbolic arccotangent of a number. |
| 1633 | * |
| 1634 | * @param float $number Number |
| 1635 | * |
| 1636 | * @return float|string The hyperbolic arccotangent of the number |
| 1637 | */ |
| 1638 | public static function ACOTH($number) |
| 1639 | { |
| 1640 | $number = Functions::flattenSingleValue($number); |
| 1641 | |
| 1642 | if (!is_numeric($number)) { |
| 1643 | return Functions::VALUE(); |
| 1644 | } |
| 1645 | |
| 1646 | $result = log(($number + 1) / ($number - 1)) / 2; |
| 1647 | |
| 1648 | return is_nan($result) ? Functions::NAN() : $result; |
| 1649 | } |
| 1650 | } |
| 1651 |