<?php
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namespace PhpOffice\PhpSpreadsheet\Calculation\Statistical\Distributions;
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use PhpOffice\PhpSpreadsheet\Calculation\ArrayEnabled;
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use PhpOffice\PhpSpreadsheet\Calculation\Exception;
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use PhpOffice\PhpSpreadsheet\Calculation\Information\ExcelError;
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class Weibull
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{
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use ArrayEnabled;
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/**
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* WEIBULL.
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*
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* Returns the Weibull distribution. Use this distribution in reliability
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* analysis, such as calculating a device's mean time to failure.
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*
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* @param mixed $value Float value for the distribution
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* Or can be an array of values
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* @param mixed $alpha Float alpha Parameter
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* Or can be an array of values
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* @param mixed $beta Float beta Parameter
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* Or can be an array of values
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* @param mixed $cumulative Boolean value indicating if we want the cdf (true) or the pdf (false)
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* Or can be an array of values
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*
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* @return array|float|string (string if result is an error)
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* If an array of numbers is passed as an argument, then the returned result will also be an array
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* with the same dimensions
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*/
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public static function distribution(mixed $value, mixed $alpha, mixed $beta, mixed $cumulative): array|string|float
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{
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if (is_array($value) || is_array($alpha) || is_array($beta) || is_array($cumulative)) {
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return self::evaluateArrayArguments([self::class, __FUNCTION__], $value, $alpha, $beta, $cumulative);
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}
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try {
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$value = DistributionValidations::validateFloat($value);
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$alpha = DistributionValidations::validateFloat($alpha);
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$beta = DistributionValidations::validateFloat($beta);
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$cumulative = DistributionValidations::validateBool($cumulative);
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} catch (Exception $e) {
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return $e->getMessage();
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}
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if (($value < 0) || ($alpha <= 0) || ($beta <= 0)) {
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return ExcelError::NAN();
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}
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if ($cumulative) {
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return 1 - exp(0 - ($value / $beta) ** $alpha);
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}
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return ($alpha / $beta ** $alpha) * $value ** ($alpha - 1) * exp(0 - ($value / $beta) ** $alpha);
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}
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}
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