Combinations.php

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<?php

namespace PhpOffice\PhpSpreadsheet\Calculation\MathTrig;

use PhpOffice\PhpSpreadsheet\Calculation\Exception;

class Combinations
{
    public static function withoutRepetition($numObjs, $numInSet)
    {
        try {
            $numObjs = Helpers::validateNumericNullSubstitution($numObjs, null);
            $numInSet = Helpers::validateNumericNullSubstitution($numInSet, null);
            Helpers::validateNotNegative($numInSet);
            Helpers::validateNotNegative($numObjs - $numInSet);
        } catch (Exception $e) {
            return $e->getMessage();
        }

        return round(Factorial::fact($numObjs) / Factorial::fact($numObjs - $numInSet)) / Factorial::fact($numInSet);
    }

    public static function withRepetition($numObjs, $numInSet)
    {
        try {
            $numObjs = Helpers::validateNumericNullSubstitution($numObjs, null);
            $numInSet = Helpers::validateNumericNullSubstitution($numInSet, null);
            Helpers::validateNotNegative($numInSet);
            Helpers::validateNotNegative($numObjs);
            $numObjs = (int) $numObjs;
            $numInSet = (int) $numInSet;
            // Microsoft documentation says following is true, but Excel
            //  does not enforce this restriction.
            //Helpers::validateNotNegative($numObjs - $numInSet);
            if ($numObjs === 0) {
                Helpers::validateNotNegative(-$numInSet);

                return 1;
            }
        } catch (Exception $e) {
            return $e->getMessage();
        }

        return round(Factorial::fact($numObjs + $numInSet - 1) / Factorial::fact($numObjs - 1)) / Factorial::fact($numInSet);
    }
}