getMessage(); } if ((((int) $value) == ((float) $value)) && $value <= 0.0) { return Functions::NAN(); } return self::gammaValue($value); } /** * GAMMADIST. * * Returns the gamma distribution. * * @param mixed $value Float Value at which you want to evaluate the distribution * Or can be an array of values * @param mixed $a Parameter to the distribution as a float * Or can be an array of values * @param mixed $b Parameter to the distribution as a float * Or can be an array of values * @param mixed $cumulative Boolean value indicating if we want the cdf (true) or the pdf (false) * Or can be an array of values * * @return array|float|string * If an array of numbers is passed as an argument, then the returned result will also be an array * with the same dimensions */ public static function distribution($value, $a, $b, $cumulative) { if (is_array($value) || is_array($a) || is_array($b) || is_array($cumulative)) { return self::evaluateArrayArguments([self::class, __FUNCTION__], $value, $a, $b, $cumulative); } try { $value = DistributionValidations::validateFloat($value); $a = DistributionValidations::validateFloat($a); $b = DistributionValidations::validateFloat($b); $cumulative = DistributionValidations::validateBool($cumulative); } catch (Exception $e) { return $e->getMessage(); } if (($value < 0) || ($a <= 0) || ($b <= 0)) { return Functions::NAN(); } return self::calculateDistribution($value, $a, $b, $cumulative); } /** * GAMMAINV. * * Returns the inverse of the Gamma distribution. * * @param mixed $probability Float probability at which you want to evaluate the distribution * Or can be an array of values * @param mixed $alpha Parameter to the distribution as a float * Or can be an array of values * @param mixed $beta Parameter to the distribution as a float * Or can be an array of values * * @return array|float|string * If an array of numbers is passed as an argument, then the returned result will also be an array * with the same dimensions */ public static function inverse($probability, $alpha, $beta) { if (is_array($probability) || is_array($alpha) || is_array($beta)) { return self::evaluateArrayArguments([self::class, __FUNCTION__], $probability, $alpha, $beta); } try { $probability = DistributionValidations::validateProbability($probability); $alpha = DistributionValidations::validateFloat($alpha); $beta = DistributionValidations::validateFloat($beta); } catch (Exception $e) { return $e->getMessage(); } if (($alpha <= 0.0) || ($beta <= 0.0)) { return Functions::NAN(); } return self::calculateInverse($probability, $alpha, $beta); } /** * GAMMALN. * * Returns the natural logarithm of the gamma function. * * @param mixed $value Float Value at which you want to evaluate the distribution * Or can be an array of values * * @return array|float|string * If an array of numbers is passed as an argument, then the returned result will also be an array * with the same dimensions */ public static function ln($value) { if (is_array($value)) { return self::evaluateSingleArgumentArray([self::class, __FUNCTION__], $value); } try { $value = DistributionValidations::validateFloat($value); } catch (Exception $e) { return $e->getMessage(); } if ($value <= 0) { return Functions::NAN(); } return log(self::gammaValue($value)); } }