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<?php
namespace PhpOffice\PhpSpreadsheet\Calculation\MathTrig;
use PhpOffice\PhpSpreadsheet\Calculation\ArrayEnabled;
use PhpOffice\PhpSpreadsheet\Calculation\Exception;
use PhpOffice\PhpSpreadsheet\Calculation\Functions;
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)
{
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)
{
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[] $args An array of mixed values for the Data Series
*
* @return float|string The result, or a string containing an error
*/
public static function multinomial(...$args)
{
$summer = 0;
$divisor = 1;
try {
// Loop through arguments
foreach (Functions::flattenArray($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 $summer / $divisor;
}
}
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