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<?php |
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namespace TablePress\PhpOffice\PhpSpreadsheet\Calculation\MathTrig; |
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use TablePress\PhpOffice\PhpSpreadsheet\Calculation\ArrayEnabled; |
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use TablePress\PhpOffice\PhpSpreadsheet\Calculation\Exception; |
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|
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class Combinations |
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{ |
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use ArrayEnabled; |
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|
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/** |
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* COMBIN. |
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* |
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* Returns the number of combinations for a given number of items. Use COMBIN to |
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* determine the total possible number of groups for a given number of items. |
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* |
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* Excel Function: |
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* COMBIN(numObjs,numInSet) |
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* |
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* @param mixed $numObjs Number of different objects, or can be an array of numbers |
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* @param mixed $numInSet Number of objects in each combination, or can be an array of numbers |
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* |
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* @return array<mixed>|float|string Number of combinations, or a string containing an error |
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* If an array of numbers is passed as the argument, then the returned result will also be an array |
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* with the same dimensions |
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*/ |
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public static function withoutRepetition($numObjs, $numInSet) |
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{ |
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if (is_array($numObjs) || is_array($numInSet)) { |
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return self::evaluateArrayArguments([self::class, __FUNCTION__], $numObjs, $numInSet); |
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} |
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|
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try { |
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$numObjs = Helpers::validateNumericNullSubstitution($numObjs, null); |
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$numInSet = Helpers::validateNumericNullSubstitution($numInSet, null); |
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Helpers::validateNotNegative($numInSet); |
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Helpers::validateNotNegative($numObjs - $numInSet); |
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} catch (Exception $e) { |
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return $e->getMessage(); |
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} |
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|
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/** @var float */ |
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$quotient = Factorial::fact($numObjs); |
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/** @var float */ |
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$divisor1 = Factorial::fact($numObjs - $numInSet); |
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/** @var float */ |
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$divisor2 = Factorial::fact($numInSet); |
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|
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return round($quotient / ($divisor1 * $divisor2)); |
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} |
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|
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/** |
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* COMBINA. |
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* |
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* Returns the number of combinations for a given number of items. Use COMBIN to |
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* determine the total possible number of groups for a given number of items. |
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* |
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* Excel Function: |
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* COMBINA(numObjs,numInSet) |
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* |
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* @param mixed $numObjs Number of different objects, or can be an array of numbers |
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* @param mixed $numInSet Number of objects in each combination, or can be an array of numbers |
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* |
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* @return array<mixed>|float|int|string Number of combinations, or a string containing an error |
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* If an array of numbers is passed as the argument, then the returned result will also be an array |
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* with the same dimensions |
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*/ |
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public static function withRepetition($numObjs, $numInSet) |
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{ |
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if (is_array($numObjs) || is_array($numInSet)) { |
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return self::evaluateArrayArguments([self::class, __FUNCTION__], $numObjs, $numInSet); |
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} |
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|
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try { |
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$numObjs = Helpers::validateNumericNullSubstitution($numObjs, null); |
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$numInSet = Helpers::validateNumericNullSubstitution($numInSet, null); |
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Helpers::validateNotNegative($numInSet); |
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Helpers::validateNotNegative($numObjs); |
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$numObjs = (int) $numObjs; |
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$numInSet = (int) $numInSet; |
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// Microsoft documentation says following is true, but Excel |
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// does not enforce this restriction. |
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//Helpers::validateNotNegative($numObjs - $numInSet); |
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if ($numObjs === 0) { |
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Helpers::validateNotNegative(-$numInSet); |
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|
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return 1; |
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} |
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} catch (Exception $e) { |
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return $e->getMessage(); |
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} |
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|
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/** @var float */ |
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$quotient = Factorial::fact($numObjs + $numInSet - 1); |
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/** @var float */ |
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$divisor1 = Factorial::fact($numObjs - 1); |
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/** @var float */ |
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$divisor2 = Factorial::fact($numInSet); |
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|
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return round($quotient / ($divisor1 * $divisor2)); |
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} |
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} |
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|