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<?php
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namespace PhpOffice\PhpSpreadsheet\Calculation\MathTrig;
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use PhpOffice\PhpSpreadsheet\Calculation\Exception;
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use PhpOffice\PhpSpreadsheet\Calculation\Functions;
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use PhpOffice\PhpSpreadsheet\Calculation\Information\ExcelError;
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class Lcm
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{
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//
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// Private method to return an array of the factors of the input value
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//
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private static function factors(float $value): array
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{
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$startVal = floor(sqrt($value));
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$factorArray = [];
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for ($i = $startVal; $i > 1; --$i) {
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if (($value % $i) == 0) {
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$factorArray = array_merge($factorArray, self::factors($value / $i));
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$factorArray = array_merge($factorArray, self::factors($i));
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if ($i <= sqrt($value)) {
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break;
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}
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}
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}
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if (!empty($factorArray)) {
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rsort($factorArray);
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return $factorArray;
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}
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return [(int) $value];
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}
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/**
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* LCM.
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*
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* Returns the lowest common multiplier of a series of numbers
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* The least common multiple is the smallest positive integer that is a multiple
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* of all integer arguments number1, number2, and so on. Use LCM to add fractions
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* with different denominators.
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*
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* Excel Function:
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* LCM(number1[,number2[, ...]])
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*
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* @param mixed ...$args Data values
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*
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* @return int|string Lowest Common Multiplier, or a string containing an error
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*/
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public static function evaluate(...$args)
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{
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try {
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$arrayArgs = [];
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$anyZeros = 0;
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$anyNonNulls = 0;
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foreach (Functions::flattenArray($args) as $value1) {
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$anyNonNulls += (int) ($value1 !== null);
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$value = Helpers::validateNumericNullSubstitution($value1, 1);
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Helpers::validateNotNegative($value);
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$arrayArgs[] = (int) $value;
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$anyZeros += (int) !((bool) $value);
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}
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self::testNonNulls($anyNonNulls);
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if ($anyZeros) {
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return 0;
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}
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} catch (Exception $e) {
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return $e->getMessage();
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}
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$returnValue = 1;
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$allPoweredFactors = [];
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// Loop through arguments
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foreach ($arrayArgs as $value) {
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$myFactors = self::factors(floor($value));
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$myCountedFactors = array_count_values($myFactors);
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$myPoweredFactors = [];
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foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) {
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$myPoweredFactors[$myCountedFactor] = $myCountedFactor ** $myCountedPower;
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}
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self::processPoweredFactors($allPoweredFactors, $myPoweredFactors);
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}
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foreach ($allPoweredFactors as $allPoweredFactor) {
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$returnValue *= (int) $allPoweredFactor;
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}
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return $returnValue;
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}
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private static function processPoweredFactors(array &$allPoweredFactors, array &$myPoweredFactors): void
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{
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foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) {
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if (isset($allPoweredFactors[$myPoweredValue])) {
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if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) {
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$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
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}
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} else {
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$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
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}
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}
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}
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private static function testNonNulls(int $anyNonNulls): void
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{
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if (!$anyNonNulls) {
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throw new Exception(ExcelError::VALUE());
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}
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}
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}
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