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<?phpnamespace PhpOffice\PhpSpreadsheet\Calculation\MathTrig;use PhpOffice\PhpSpreadsheet\Calculation\ArrayEnabled;use PhpOffice\PhpSpreadsheet\Calculation\Exception;use PhpOffice\PhpSpreadsheet\Calculation\Functions;use PhpOffice\PhpSpreadsheet\Calculation\Information\ExcelError;use PhpOffice\PhpSpreadsheet\Calculation\Statistical;class Factorial{use ArrayEnabled;/*** FACT.** Returns the factorial of a number.* The factorial of a number is equal to 1*2*3*...* number.** Excel Function:* FACT(factVal)** @param array|float $factVal Factorial Value, or can be an array of numbers** @return array|float|int|string Factorial, or a string containing an error* If an array of numbers is passed as the argument, then the returned result will also be an array* with the same dimensions*/public static function fact($factVal): array|string|float|int{if (is_array($factVal)) {return self::evaluateSingleArgumentArray([self::class, __FUNCTION__], $factVal);}try {$factVal = Helpers::validateNumericNullBool($factVal);Helpers::validateNotNegative($factVal);} catch (Exception $e) {return $e->getMessage();}$factLoop = floor($factVal);if ($factVal > $factLoop) {if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) {return Statistical\Distributions\Gamma::gammaValue($factVal + 1);}}$factorial = 1;while ($factLoop > 1) {$factorial *= $factLoop--;}return $factorial;}/*** FACTDOUBLE.** Returns the double factorial of a number.** Excel Function:* FACTDOUBLE(factVal)** @param array|float $factVal Factorial Value, or can be an array of numbers** @return array|float|int|string Double Factorial, or a string containing an error* If an array of numbers is passed as the argument, then the returned result will also be an array* with the same dimensions*/public static function factDouble($factVal): array|string|float|int{if (is_array($factVal)) {return self::evaluateSingleArgumentArray([self::class, __FUNCTION__], $factVal);}try {$factVal = Helpers::validateNumericNullSubstitution($factVal, 0);Helpers::validateNotNegative($factVal);} catch (Exception $e) {return $e->getMessage();}$factLoop = floor($factVal);$factorial = 1;while ($factLoop > 1) {$factorial *= $factLoop;$factLoop -= 2;}return $factorial;}/*** MULTINOMIAL.** Returns the ratio of the factorial of a sum of values to the product of factorials.** @param mixed[] $args An array of mixed values for the Data Series** @return float|int|string The result, or a string containing an error*/public static function multinomial(...$args): string|int|float{$summer = 0;$divisor = 1;try {// Loop through argumentsforeach (Functions::flattenArray($args) as $argx) {$arg = Helpers::validateNumericNullSubstitution($argx, null);Helpers::validateNotNegative($arg);$arg = (int) $arg;$summer += $arg;$divisor *= self::fact($arg);}} catch (Exception $e) {return $e->getMessage();}$summer = self::fact($summer);return is_numeric($summer) ? ($summer / $divisor) : ExcelError::VALUE();}}