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<?php
namespace PhpOffice\PhpSpreadsheet\Calculation\Statistical\Distributions;
use PhpOffice\PhpSpreadsheet\Calculation\Exception;
use PhpOffice\PhpSpreadsheet\Calculation\Functions;
class Exponential
{
/**
* EXPONDIST.
*
* Returns the exponential distribution. Use EXPONDIST to model the time between events,
* such as how long an automated bank teller takes to deliver cash. For example, you can
* use EXPONDIST to determine the probability that the process takes at most 1 minute.
*
* @param mixed $value Float value for which we want the probability
* @param mixed $lambda The parameter value as a float
* @param mixed $cumulative Boolean value indicating if we want the cdf (true) or the pdf (false)
*
* @return float|string
*/
public static function distribution($value, $lambda, $cumulative)
{
$value = Functions::flattenSingleValue($value);
$lambda = Functions::flattenSingleValue($lambda);
$cumulative = Functions::flattenSingleValue($cumulative);
try {
$value = DistributionValidations::validateFloat($value);
$lambda = DistributionValidations::validateFloat($lambda);
$cumulative = DistributionValidations::validateBool($cumulative);
} catch (Exception $e) {
return $e->getMessage();
}
if (($value < 0) || ($lambda < 0)) {
return Functions::NAN();
}
if ($cumulative === true) {
return 1 - exp(0 - $value * $lambda);
}
return $lambda * exp(0 - $value * $lambda);
}
}