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<?php
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namespace PhpOffice\PhpSpreadsheet\Calculation\Statistical;
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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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use PhpOffice\PhpSpreadsheet\Calculation\MathTrig;
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use PhpOffice\PhpSpreadsheet\Shared\IntOrFloat;
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class Permutations
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{
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use ArrayEnabled;
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/**
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* PERMUT.
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*
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* Returns the number of permutations for a given number of objects that can be
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* selected from number objects. A permutation is any set or subset of objects or
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* events where internal order is significant. Permutations are different from
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* combinations, for which the internal order is not significant. Use this function
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* for lottery-style probability calculations.
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*
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* @param mixed $numObjs Integer number of different objects
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* Or can be an array of values
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* @param mixed $numInSet Integer number of objects in each permutation
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* Or can be an array of values
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*
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* @return array|float|int|string Number of permutations, or a string containing 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 PERMUT(mixed $numObjs, mixed $numInSet)
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{
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if (is_array($numObjs) || is_array($numInSet)) {
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return self::evaluateArrayArguments([self::class, __FUNCTION__], $numObjs, $numInSet);
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}
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try {
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$numObjs = StatisticalValidations::validateInt($numObjs);
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$numInSet = StatisticalValidations::validateInt($numInSet);
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} catch (Exception $e) {
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return $e->getMessage();
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}
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if ($numObjs < $numInSet) {
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return ExcelError::NAN();
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}
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/** @var float|int|string */
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$result1 = MathTrig\Factorial::fact($numObjs);
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if (is_string($result1)) {
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return $result1;
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}
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/** @var float|int|string */
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$result2 = MathTrig\Factorial::fact($numObjs - $numInSet);
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if (is_string($result2)) {
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return $result2;
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}
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$result = round($result1 / $result2);
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return IntOrFloat::evaluate($result);
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}
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/**
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* PERMUTATIONA.
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*
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* Returns the number of permutations for a given number of objects (with repetitions)
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* that can be selected from the total objects.
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*
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* @param mixed $numObjs Integer number of different objects
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* Or can be an array of values
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* @param mixed $numInSet Integer number of objects in each permutation
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* Or can be an array of values
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*
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* @return array|float|int|string Number of permutations, or a string containing 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 PERMUTATIONA(mixed $numObjs, mixed $numInSet)
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{
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if (is_array($numObjs) || is_array($numInSet)) {
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return self::evaluateArrayArguments([self::class, __FUNCTION__], $numObjs, $numInSet);
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}
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try {
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$numObjs = StatisticalValidations::validateInt($numObjs);
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$numInSet = StatisticalValidations::validateInt($numInSet);
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} catch (Exception $e) {
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return $e->getMessage();
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}
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if ($numObjs < 0 || $numInSet < 0) {
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return ExcelError::NAN();
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}
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$result = $numObjs ** $numInSet;
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return IntOrFloat::evaluate($result);
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}
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}
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