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<?php |
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namespace PhpOffice\PhpSpreadsheet\Calculation; |
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use Matrix\Exception as MatrixException; |
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use Matrix\Matrix; |
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class MathTrig |
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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($value) |
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{ |
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$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) $value]; |
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} |
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private static function romanCut($num, $n) |
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{ |
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return ($num - ($num % $n)) / $n; |
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} |
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/** |
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* ATAN2. |
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* |
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* This function calculates the arc tangent of the two variables x and y. It is similar to |
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* calculating the arc tangent of y ÷ x, except that the signs of both arguments are used |
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* to determine the quadrant of the result. |
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* The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a |
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* point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between |
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* -pi and pi, excluding -pi. |
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* |
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* Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard |
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* PHP atan2() function, so we need to reverse them here before calling the PHP atan() function. |
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* |
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* Excel Function: |
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* ATAN2(xCoordinate,yCoordinate) |
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* |
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* @category Mathematical and Trigonometric Functions |
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* |
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* @param float $xCoordinate the x-coordinate of the point |
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* @param float $yCoordinate the y-coordinate of the point |
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* |
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* @return float the inverse tangent of the specified x- and y-coordinates |
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*/ |
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public static function ATAN2($xCoordinate = null, $yCoordinate = null) |
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{ |
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$xCoordinate = Functions::flattenSingleValue($xCoordinate); |
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$yCoordinate = Functions::flattenSingleValue($yCoordinate); |
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$xCoordinate = ($xCoordinate !== null) ? $xCoordinate : 0.0; |
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$yCoordinate = ($yCoordinate !== null) ? $yCoordinate : 0.0; |
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if (((is_numeric($xCoordinate)) || (is_bool($xCoordinate))) && |
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((is_numeric($yCoordinate))) || (is_bool($yCoordinate))) { |
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$xCoordinate = (float) $xCoordinate; |
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$yCoordinate = (float) $yCoordinate; |
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if (($xCoordinate == 0) && ($yCoordinate == 0)) { |
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return Functions::DIV0(); |
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} |
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return atan2($yCoordinate, $xCoordinate); |
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} |
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return Functions::VALUE(); |
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} |
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/** |
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* CEILING. |
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* |
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* Returns number rounded up, away from zero, to the nearest multiple of significance. |
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* For example, if you want to avoid using pennies in your prices and your product is |
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* priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the |
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* nearest nickel. |
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* |
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* Excel Function: |
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* CEILING(number[,significance]) |
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* |
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* @category Mathematical and Trigonometric Functions |
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* |
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* @param float $number the number you want to round |
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* @param float $significance the multiple to which you want to round |
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* |
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* @return float Rounded Number |
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*/ |
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public static function CEILING($number, $significance = null) |
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{ |
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$number = Functions::flattenSingleValue($number); |
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$significance = Functions::flattenSingleValue($significance); |
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if (($significance === null) && |
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(Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)) { |
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$significance = $number / abs($number); |
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} |
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if ((is_numeric($number)) && (is_numeric($significance))) { |
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if (($number == 0.0) || ($significance == 0.0)) { |
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return 0.0; |
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} elseif (self::SIGN($number) == self::SIGN($significance)) { |
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return ceil($number / $significance) * $significance; |
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} |
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return Functions::NAN(); |
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} |
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return Functions::VALUE(); |
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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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* @category Mathematical and Trigonometric Functions |
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* |
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* @param int $numObjs Number of different objects |
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* @param int $numInSet Number of objects in each combination |
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* |
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* @return int Number of combinations |
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*/ |
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public static function COMBIN($numObjs, $numInSet) |
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{ |
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$numObjs = Functions::flattenSingleValue($numObjs); |
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$numInSet = Functions::flattenSingleValue($numInSet); |
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if ((is_numeric($numObjs)) && (is_numeric($numInSet))) { |
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if ($numObjs < $numInSet) { |
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return Functions::NAN(); |
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} elseif ($numInSet < 0) { |
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return Functions::NAN(); |
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} |
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return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet); |
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} |
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return Functions::VALUE(); |
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} |
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/** |
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* EVEN. |
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* |
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* Returns number rounded up to the nearest even integer. |
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* You can use this function for processing items that come in twos. For example, |
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* a packing crate accepts rows of one or two items. The crate is full when |
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* the number of items, rounded up to the nearest two, matches the crate's |
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* capacity. |
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* |
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* Excel Function: |
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* EVEN(number) |
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* |
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* @category Mathematical and Trigonometric Functions |
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* |
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* @param float $number Number to round |
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* |
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* @return int Rounded Number |
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*/ |
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public static function EVEN($number) |
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{ |
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$number = Functions::flattenSingleValue($number); |
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if ($number === null) { |
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return 0; |
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} elseif (is_bool($number)) { |
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$number = (int) $number; |
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} |
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if (is_numeric($number)) { |
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$significance = 2 * self::SIGN($number); |
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return (int) self::CEILING($number, $significance); |
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} |
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return Functions::VALUE(); |
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} |
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/** |
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* FACT. |
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* |
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* Returns the factorial of a number. |
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* The factorial of a number is equal to 1*2*3*...* number. |
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* |
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* Excel Function: |
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* FACT(factVal) |
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* |
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* @category Mathematical and Trigonometric Functions |
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* |
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* @param float $factVal Factorial Value |
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* |
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* @return int Factorial |
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*/ |
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public static function FACT($factVal) |
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{ |
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$factVal = Functions::flattenSingleValue($factVal); |
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if (is_numeric($factVal)) { |
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if ($factVal < 0) { |
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return Functions::NAN(); |
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} |
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$factLoop = floor($factVal); |
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if ((Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) && |
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($factVal > $factLoop)) { |
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return Functions::NAN(); |
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} |
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$factorial = 1; |
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while ($factLoop > 1) { |
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$factorial *= $factLoop--; |
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} |
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return $factorial; |
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} |
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return Functions::VALUE(); |
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} |
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/** |
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* FACTDOUBLE. |
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* |
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* Returns the double factorial of a number. |
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* |
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* Excel Function: |
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* FACTDOUBLE(factVal) |
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* |
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* @category Mathematical and Trigonometric Functions |
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* |
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* @param float $factVal Factorial Value |
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* |
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* @return int Double Factorial |
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*/ |
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public static function FACTDOUBLE($factVal) |
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{ |
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$factLoop = Functions::flattenSingleValue($factVal); |
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if (is_numeric($factLoop)) { |
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$factLoop = floor($factLoop); |
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if ($factVal < 0) { |
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return Functions::NAN(); |
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} |
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$factorial = 1; |
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while ($factLoop > 1) { |
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$factorial *= $factLoop--; |
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--$factLoop; |
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} |
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return $factorial; |
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} |
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return Functions::VALUE(); |
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} |
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/** |
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* FLOOR. |
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* |
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* Rounds number down, toward zero, to the nearest multiple of significance. |
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* |
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* Excel Function: |
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* FLOOR(number[,significance]) |
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* |
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* @category Mathematical and Trigonometric Functions |
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* |
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* @param float $number Number to round |
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* @param float $significance Significance |
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* |
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* @return float Rounded Number |
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*/ |
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public static function FLOOR($number, $significance = null) |
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{ |
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$number = Functions::flattenSingleValue($number); |
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$significance = Functions::flattenSingleValue($significance); |
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if (($significance === null) && |
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(Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)) { |
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$significance = $number / abs($number); |
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} |
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if ((is_numeric($number)) && (is_numeric($significance))) { |
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if ($significance == 0.0) { |
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return Functions::DIV0(); |
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} elseif ($number == 0.0) { |
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return 0.0; |
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} elseif (self::SIGN($significance) == 1) { |
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return floor($number / $significance) * $significance; |
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} elseif (self::SIGN($number) == -1 && self::SIGN($significance) == -1) { |
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return floor($number / $significance) * $significance; |
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} |
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return Functions::NAN(); |
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} |
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return Functions::VALUE(); |
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} |
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private static function evaluateGCD($a, $b) |
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{ |
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return $b ? self::evaluateGCD($b, $a % $b) : $a; |
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} |
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/** |
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* GCD. |
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* |
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* Returns the greatest common divisor of a series of numbers. |
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* The greatest common divisor is the largest integer that divides both |
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* number1 and number2 without a remainder. |
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* |
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* Excel Function: |
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* GCD(number1[,number2[, ...]]) |
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* |
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* @category Mathematical and Trigonometric Functions |
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* |
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* @param mixed ...$args Data values |
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* |
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* @return int Greatest Common Divisor |
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*/ |
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public static function GCD(...$args) |
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{ |
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$args = Functions::flattenArray($args); |
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// Loop through arguments |
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27 |
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foreach (Functions::flattenArray($args) as $value) { |
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27 |
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if (!is_numeric($value)) { |
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1 |
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return Functions::VALUE(); |
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|
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|
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} elseif ($value < 0) { |
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1 |
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return Functions::NAN(); |
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} |
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} |
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25 |
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$gcd = (int) array_pop($args); |
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do { |
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25 |
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$gcd = self::evaluateGCD($gcd, (int) array_pop($args)); |
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} while (!empty($args)); |
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return $gcd; |
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} |
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/** |
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* INT. |
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* |
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* Casts a floating point value to an integer |
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* |
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* Excel Function: |
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* INT(number) |
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* |
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|
|
* @category Mathematical and Trigonometric Functions |
366
|
|
|
* |
367
|
|
|
* @param float $number Number to cast to an integer |
368
|
|
|
* |
369
|
|
|
* @return int Integer value |
370
|
|
|
*/ |
371
|
19 |
|
public static function INT($number) |
372
|
|
|
{ |
373
|
19 |
|
$number = Functions::flattenSingleValue($number); |
374
|
|
|
|
375
|
19 |
|
if ($number === null) { |
376
|
1 |
|
return 0; |
377
|
18 |
|
} elseif (is_bool($number)) { |
378
|
2 |
|
return (int) $number; |
379
|
|
|
} |
380
|
16 |
|
if (is_numeric($number)) { |
381
|
15 |
|
return (int) floor($number); |
382
|
|
|
} |
383
|
|
|
|
384
|
1 |
|
return Functions::VALUE(); |
|
|
|
|
385
|
|
|
} |
386
|
|
|
|
387
|
|
|
/** |
388
|
|
|
* LCM. |
389
|
|
|
* |
390
|
|
|
* Returns the lowest common multiplier of a series of numbers |
391
|
|
|
* The least common multiple is the smallest positive integer that is a multiple |
392
|
|
|
* of all integer arguments number1, number2, and so on. Use LCM to add fractions |
393
|
|
|
* with different denominators. |
394
|
|
|
* |
395
|
|
|
* Excel Function: |
396
|
|
|
* LCM(number1[,number2[, ...]]) |
397
|
|
|
* |
398
|
|
|
* @category Mathematical and Trigonometric Functions |
399
|
|
|
* |
400
|
|
|
* @param mixed ...$args Data values |
401
|
|
|
* |
402
|
|
|
* @return int Lowest Common Multiplier |
403
|
|
|
*/ |
404
|
12 |
|
public static function LCM(...$args) |
405
|
|
|
{ |
406
|
12 |
|
$returnValue = 1; |
407
|
12 |
|
$allPoweredFactors = []; |
408
|
|
|
// Loop through arguments |
409
|
12 |
|
foreach (Functions::flattenArray($args) as $value) { |
410
|
12 |
|
if (!is_numeric($value)) { |
411
|
1 |
|
return Functions::VALUE(); |
|
|
|
|
412
|
|
|
} |
413
|
12 |
|
if ($value == 0) { |
414
|
1 |
|
return 0; |
415
|
12 |
|
} elseif ($value < 0) { |
416
|
1 |
|
return Functions::NAN(); |
|
|
|
|
417
|
|
|
} |
418
|
12 |
|
$myFactors = self::factors(floor($value)); |
419
|
12 |
|
$myCountedFactors = array_count_values($myFactors); |
420
|
12 |
|
$myPoweredFactors = []; |
421
|
12 |
|
foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) { |
422
|
12 |
|
$myPoweredFactors[$myCountedFactor] = pow($myCountedFactor, $myCountedPower); |
423
|
|
|
} |
424
|
12 |
|
foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) { |
425
|
12 |
|
if (isset($allPoweredFactors[$myPoweredValue])) { |
426
|
6 |
|
if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) { |
427
|
6 |
|
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
428
|
|
|
} |
429
|
|
|
} else { |
430
|
12 |
|
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
431
|
|
|
} |
432
|
|
|
} |
433
|
|
|
} |
434
|
9 |
|
foreach ($allPoweredFactors as $allPoweredFactor) { |
435
|
9 |
|
$returnValue *= (int) $allPoweredFactor; |
436
|
|
|
} |
437
|
|
|
|
438
|
9 |
|
return $returnValue; |
439
|
|
|
} |
440
|
|
|
|
441
|
|
|
/** |
442
|
|
|
* LOG_BASE. |
443
|
|
|
* |
444
|
|
|
* Returns the logarithm of a number to a specified base. The default base is 10. |
445
|
|
|
* |
446
|
|
|
* Excel Function: |
447
|
|
|
* LOG(number[,base]) |
448
|
|
|
* |
449
|
|
|
* @category Mathematical and Trigonometric Functions |
450
|
|
|
* |
451
|
|
|
* @param float $number The positive real number for which you want the logarithm |
452
|
|
|
* @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10. |
453
|
|
|
* |
454
|
|
|
* @return float |
455
|
|
|
*/ |
456
|
69 |
|
public static function logBase($number = null, $base = 10) |
457
|
|
|
{ |
458
|
69 |
|
$number = Functions::flattenSingleValue($number); |
459
|
69 |
|
$base = ($base === null) ? 10 : (float) Functions::flattenSingleValue($base); |
|
|
|
|
460
|
|
|
|
461
|
69 |
|
if ((!is_numeric($base)) || (!is_numeric($number))) { |
|
|
|
|
462
|
2 |
|
return Functions::VALUE(); |
|
|
|
|
463
|
|
|
} |
464
|
67 |
|
if (($base <= 0) || ($number <= 0)) { |
465
|
18 |
|
return Functions::NAN(); |
|
|
|
|
466
|
|
|
} |
467
|
|
|
|
468
|
49 |
|
return log($number, $base); |
469
|
|
|
} |
470
|
|
|
|
471
|
|
|
/** |
472
|
|
|
* MDETERM. |
473
|
|
|
* |
474
|
|
|
* Returns the matrix determinant of an array. |
475
|
|
|
* |
476
|
|
|
* Excel Function: |
477
|
|
|
* MDETERM(array) |
478
|
|
|
* |
479
|
|
|
* @category Mathematical and Trigonometric Functions |
480
|
|
|
* |
481
|
|
|
* @param array $matrixValues A matrix of values |
482
|
|
|
* |
483
|
|
|
* @return float |
484
|
|
|
*/ |
485
|
14 |
|
public static function MDETERM($matrixValues) |
486
|
|
|
{ |
487
|
14 |
|
$matrixData = []; |
488
|
14 |
|
if (!is_array($matrixValues)) { |
|
|
|
|
489
|
|
|
$matrixValues = [[$matrixValues]]; |
490
|
|
|
} |
491
|
|
|
|
492
|
14 |
|
$row = $maxColumn = 0; |
493
|
14 |
|
foreach ($matrixValues as $matrixRow) { |
494
|
14 |
|
if (!is_array($matrixRow)) { |
495
|
|
|
$matrixRow = [$matrixRow]; |
496
|
|
|
} |
497
|
14 |
|
$column = 0; |
498
|
14 |
|
foreach ($matrixRow as $matrixCell) { |
499
|
14 |
|
if ((is_string($matrixCell)) || ($matrixCell === null)) { |
500
|
1 |
|
return Functions::VALUE(); |
|
|
|
|
501
|
|
|
} |
502
|
14 |
|
$matrixData[$row][$column] = $matrixCell; |
503
|
14 |
|
++$column; |
504
|
|
|
} |
505
|
14 |
|
if ($column > $maxColumn) { |
506
|
14 |
|
$maxColumn = $column; |
507
|
|
|
} |
508
|
14 |
|
++$row; |
509
|
|
|
} |
510
|
|
|
|
511
|
13 |
|
$matrix = new Matrix($matrixData); |
512
|
13 |
|
if (!$matrix->isSquare()) { |
513
|
1 |
|
return Functions::VALUE(); |
|
|
|
|
514
|
|
|
} |
515
|
|
|
|
516
|
|
|
try { |
517
|
12 |
|
return $matrix->determinant(); |
518
|
|
|
} catch (MatrixException $ex) { |
519
|
|
|
return Functions::VALUE(); |
|
|
|
|
520
|
|
|
} |
521
|
|
|
} |
522
|
|
|
|
523
|
|
|
/** |
524
|
|
|
* MINVERSE. |
525
|
|
|
* |
526
|
|
|
* Returns the inverse matrix for the matrix stored in an array. |
527
|
|
|
* |
528
|
|
|
* Excel Function: |
529
|
|
|
* MINVERSE(array) |
530
|
|
|
* |
531
|
|
|
* @category Mathematical and Trigonometric Functions |
532
|
|
|
* |
533
|
|
|
* @param array $matrixValues A matrix of values |
534
|
|
|
* |
535
|
|
|
* @return array |
536
|
|
|
*/ |
537
|
10 |
|
public static function MINVERSE($matrixValues) |
538
|
|
|
{ |
539
|
10 |
|
$matrixData = []; |
540
|
10 |
|
if (!is_array($matrixValues)) { |
|
|
|
|
541
|
|
|
$matrixValues = [[$matrixValues]]; |
542
|
|
|
} |
543
|
|
|
|
544
|
10 |
|
$row = $maxColumn = 0; |
545
|
10 |
|
foreach ($matrixValues as $matrixRow) { |
546
|
10 |
|
if (!is_array($matrixRow)) { |
547
|
|
|
$matrixRow = [$matrixRow]; |
548
|
|
|
} |
549
|
10 |
|
$column = 0; |
550
|
10 |
|
foreach ($matrixRow as $matrixCell) { |
551
|
10 |
|
if ((is_string($matrixCell)) || ($matrixCell === null)) { |
552
|
|
|
return Functions::VALUE(); |
|
|
|
|
553
|
|
|
} |
554
|
10 |
|
$matrixData[$row][$column] = $matrixCell; |
555
|
10 |
|
++$column; |
556
|
|
|
} |
557
|
10 |
|
if ($column > $maxColumn) { |
558
|
10 |
|
$maxColumn = $column; |
559
|
|
|
} |
560
|
10 |
|
++$row; |
561
|
|
|
} |
562
|
|
|
|
563
|
10 |
|
$matrix = new Matrix($matrixData); |
564
|
10 |
|
if (!$matrix->isSquare()) { |
565
|
|
|
return Functions::VALUE(); |
|
|
|
|
566
|
|
|
} |
567
|
|
|
|
568
|
10 |
|
if ($matrix->determinant() == 0.0) { |
569
|
|
|
return Functions::NAN(); |
|
|
|
|
570
|
|
|
} |
571
|
|
|
|
572
|
|
|
try { |
573
|
10 |
|
return $matrix->inverse()->toArray(); |
574
|
|
|
} catch (MatrixException $ex) { |
575
|
|
|
return Functions::VALUE(); |
|
|
|
|
576
|
|
|
} |
577
|
|
|
} |
578
|
|
|
|
579
|
|
|
/** |
580
|
|
|
* MMULT. |
581
|
|
|
* |
582
|
|
|
* @param array $matrixData1 A matrix of values |
583
|
|
|
* @param array $matrixData2 A matrix of values |
584
|
|
|
* |
585
|
|
|
* @return array |
586
|
|
|
*/ |
587
|
8 |
|
public static function MMULT($matrixData1, $matrixData2) |
588
|
|
|
{ |
589
|
8 |
|
$matrixAData = $matrixBData = []; |
590
|
8 |
|
if (!is_array($matrixData1)) { |
|
|
|
|
591
|
|
|
$matrixData1 = [[$matrixData1]]; |
592
|
|
|
} |
593
|
8 |
|
if (!is_array($matrixData2)) { |
|
|
|
|
594
|
|
|
$matrixData2 = [[$matrixData2]]; |
595
|
|
|
} |
596
|
|
|
|
597
|
|
|
try { |
598
|
8 |
|
$rowA = 0; |
599
|
8 |
|
foreach ($matrixData1 as $matrixRow) { |
600
|
8 |
|
if (!is_array($matrixRow)) { |
601
|
|
|
$matrixRow = [$matrixRow]; |
602
|
|
|
} |
603
|
8 |
|
$columnA = 0; |
604
|
8 |
|
foreach ($matrixRow as $matrixCell) { |
605
|
8 |
|
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
606
|
|
|
return Functions::VALUE(); |
|
|
|
|
607
|
|
|
} |
608
|
8 |
|
$matrixAData[$rowA][$columnA] = $matrixCell; |
609
|
8 |
|
++$columnA; |
610
|
|
|
} |
611
|
8 |
|
++$rowA; |
612
|
|
|
} |
613
|
8 |
|
$matrixA = new Matrix($matrixAData); |
614
|
8 |
|
$rowB = 0; |
615
|
8 |
|
foreach ($matrixData2 as $matrixRow) { |
616
|
8 |
|
if (!is_array($matrixRow)) { |
617
|
1 |
|
$matrixRow = [$matrixRow]; |
618
|
|
|
} |
619
|
8 |
|
$columnB = 0; |
620
|
8 |
|
foreach ($matrixRow as $matrixCell) { |
621
|
8 |
|
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
622
|
|
|
return Functions::VALUE(); |
|
|
|
|
623
|
|
|
} |
624
|
8 |
|
$matrixBData[$rowB][$columnB] = $matrixCell; |
625
|
8 |
|
++$columnB; |
626
|
|
|
} |
627
|
8 |
|
++$rowB; |
628
|
|
|
} |
629
|
8 |
|
$matrixB = new Matrix($matrixBData); |
630
|
|
|
|
631
|
8 |
|
if ($columnA != $rowB) { |
|
|
|
|
632
|
2 |
|
return Functions::VALUE(); |
|
|
|
|
633
|
|
|
} |
634
|
|
|
|
635
|
6 |
|
return $matrixA->multiply($matrixB)->toArray(); |
636
|
|
|
} catch (MatrixException $ex) { |
637
|
|
|
return Functions::VALUE(); |
|
|
|
|
638
|
|
|
} |
639
|
|
|
} |
640
|
|
|
|
641
|
|
|
/** |
642
|
|
|
* MOD. |
643
|
|
|
* |
644
|
|
|
* @param int $a Dividend |
645
|
|
|
* @param int $b Divisor |
646
|
|
|
* |
647
|
|
|
* @return int Remainder |
648
|
|
|
*/ |
649
|
10 |
|
public static function MOD($a = 1, $b = 1) |
650
|
|
|
{ |
651
|
10 |
|
$a = (float) Functions::flattenSingleValue($a); |
652
|
10 |
|
$b = (float) Functions::flattenSingleValue($b); |
653
|
|
|
|
654
|
10 |
|
if ($b == 0.0) { |
655
|
1 |
|
return Functions::DIV0(); |
|
|
|
|
656
|
9 |
|
} elseif (($a < 0.0) && ($b > 0.0)) { |
657
|
1 |
|
return $b - fmod(abs($a), $b); |
658
|
8 |
|
} elseif (($a > 0.0) && ($b < 0.0)) { |
659
|
2 |
|
return $b + fmod($a, abs($b)); |
660
|
|
|
} |
661
|
|
|
|
662
|
6 |
|
return fmod($a, $b); |
663
|
|
|
} |
664
|
|
|
|
665
|
|
|
/** |
666
|
|
|
* MROUND. |
667
|
|
|
* |
668
|
|
|
* Rounds a number to the nearest multiple of a specified value |
669
|
|
|
* |
670
|
|
|
* @param float $number Number to round |
671
|
|
|
* @param int $multiple Multiple to which you want to round $number |
672
|
|
|
* |
673
|
|
|
* @return float Rounded Number |
674
|
|
|
*/ |
675
|
13 |
|
public static function MROUND($number, $multiple) |
676
|
|
|
{ |
677
|
13 |
|
$number = Functions::flattenSingleValue($number); |
678
|
13 |
|
$multiple = Functions::flattenSingleValue($multiple); |
679
|
|
|
|
680
|
13 |
|
if ((is_numeric($number)) && (is_numeric($multiple))) { |
681
|
11 |
|
if ($multiple == 0) { |
682
|
1 |
|
return 0; |
683
|
|
|
} |
684
|
10 |
|
if ((self::SIGN($number)) == (self::SIGN($multiple))) { |
685
|
9 |
|
$multiplier = 1 / $multiple; |
686
|
|
|
|
687
|
9 |
|
return round($number * $multiplier) / $multiplier; |
688
|
|
|
} |
689
|
|
|
|
690
|
1 |
|
return Functions::NAN(); |
|
|
|
|
691
|
|
|
} |
692
|
|
|
|
693
|
2 |
|
return Functions::VALUE(); |
|
|
|
|
694
|
|
|
} |
695
|
|
|
|
696
|
|
|
/** |
697
|
|
|
* MULTINOMIAL. |
698
|
|
|
* |
699
|
|
|
* Returns the ratio of the factorial of a sum of values to the product of factorials. |
700
|
|
|
* |
701
|
|
|
* @param array of mixed Data Series |
|
|
|
|
702
|
|
|
* |
703
|
|
|
* @return float |
704
|
|
|
*/ |
705
|
2 |
|
public static function MULTINOMIAL(...$args) |
706
|
|
|
{ |
707
|
2 |
|
$summer = 0; |
708
|
2 |
|
$divisor = 1; |
709
|
|
|
// Loop through arguments |
710
|
2 |
|
foreach (Functions::flattenArray($args) as $arg) { |
711
|
|
|
// Is it a numeric value? |
712
|
2 |
|
if (is_numeric($arg)) { |
713
|
2 |
|
if ($arg < 1) { |
714
|
|
|
return Functions::NAN(); |
|
|
|
|
715
|
|
|
} |
716
|
2 |
|
$summer += floor($arg); |
717
|
2 |
|
$divisor *= self::FACT($arg); |
718
|
|
|
} else { |
719
|
|
|
return Functions::VALUE(); |
|
|
|
|
720
|
|
|
} |
721
|
|
|
} |
722
|
|
|
|
723
|
|
|
// Return |
724
|
2 |
|
if ($summer > 0) { |
725
|
2 |
|
$summer = self::FACT($summer); |
726
|
|
|
|
727
|
2 |
|
return $summer / $divisor; |
728
|
|
|
} |
729
|
|
|
|
730
|
|
|
return 0; |
731
|
|
|
} |
732
|
|
|
|
733
|
|
|
/** |
734
|
|
|
* ODD. |
735
|
|
|
* |
736
|
|
|
* Returns number rounded up to the nearest odd integer. |
737
|
|
|
* |
738
|
|
|
* @param float $number Number to round |
739
|
|
|
* |
740
|
|
|
* @return int Rounded Number |
741
|
|
|
*/ |
742
|
13 |
|
public static function ODD($number) |
743
|
|
|
{ |
744
|
13 |
|
$number = Functions::flattenSingleValue($number); |
745
|
|
|
|
746
|
13 |
|
if ($number === null) { |
747
|
1 |
|
return 1; |
748
|
12 |
|
} elseif (is_bool($number)) { |
749
|
2 |
|
return 1; |
750
|
10 |
|
} elseif (is_numeric($number)) { |
751
|
9 |
|
$significance = self::SIGN($number); |
752
|
9 |
|
if ($significance == 0) { |
753
|
1 |
|
return 1; |
754
|
|
|
} |
755
|
|
|
|
756
|
8 |
|
$result = self::CEILING($number, $significance); |
757
|
8 |
|
if ($result == self::EVEN($result)) { |
758
|
5 |
|
$result += $significance; |
759
|
|
|
} |
760
|
|
|
|
761
|
8 |
|
return (int) $result; |
762
|
|
|
} |
763
|
|
|
|
764
|
1 |
|
return Functions::VALUE(); |
|
|
|
|
765
|
|
|
} |
766
|
|
|
|
767
|
|
|
/** |
768
|
|
|
* POWER. |
769
|
|
|
* |
770
|
|
|
* Computes x raised to the power y. |
771
|
|
|
* |
772
|
|
|
* @param float $x |
773
|
|
|
* @param float $y |
774
|
|
|
* |
775
|
|
|
* @return float |
776
|
|
|
*/ |
777
|
81 |
|
public static function POWER($x = 0, $y = 2) |
778
|
|
|
{ |
779
|
81 |
|
$x = Functions::flattenSingleValue($x); |
780
|
81 |
|
$y = Functions::flattenSingleValue($y); |
781
|
|
|
|
782
|
|
|
// Validate parameters |
783
|
81 |
|
if ($x == 0.0 && $y == 0.0) { |
784
|
1 |
|
return Functions::NAN(); |
|
|
|
|
785
|
80 |
|
} elseif ($x == 0.0 && $y < 0.0) { |
786
|
2 |
|
return Functions::DIV0(); |
|
|
|
|
787
|
|
|
} |
788
|
|
|
|
789
|
|
|
// Return |
790
|
78 |
|
$result = pow($x, $y); |
791
|
|
|
|
792
|
78 |
|
return (!is_nan($result) && !is_infinite($result)) ? $result : Functions::NAN(); |
|
|
|
|
793
|
|
|
} |
794
|
|
|
|
795
|
|
|
/** |
796
|
|
|
* PRODUCT. |
797
|
|
|
* |
798
|
|
|
* PRODUCT returns the product of all the values and cells referenced in the argument list. |
799
|
|
|
* |
800
|
|
|
* Excel Function: |
801
|
|
|
* PRODUCT(value1[,value2[, ...]]) |
802
|
|
|
* |
803
|
|
|
* @category Mathematical and Trigonometric Functions |
804
|
|
|
* |
805
|
|
|
* @param mixed ...$args Data values |
806
|
|
|
* |
807
|
|
|
* @return float |
808
|
|
|
*/ |
809
|
11 |
|
public static function PRODUCT(...$args) |
810
|
|
|
{ |
811
|
|
|
// Return value |
812
|
11 |
|
$returnValue = null; |
813
|
|
|
|
814
|
|
|
// Loop through arguments |
815
|
11 |
|
foreach (Functions::flattenArray($args) as $arg) { |
816
|
|
|
// Is it a numeric value? |
817
|
11 |
|
if ((is_numeric($arg)) && (!is_string($arg))) { |
818
|
11 |
|
if ($returnValue === null) { |
819
|
11 |
|
$returnValue = $arg; |
820
|
|
|
} else { |
821
|
11 |
|
$returnValue *= $arg; |
822
|
|
|
} |
823
|
|
|
} |
824
|
|
|
} |
825
|
|
|
|
826
|
|
|
// Return |
827
|
11 |
|
if ($returnValue === null) { |
828
|
|
|
return 0; |
829
|
|
|
} |
830
|
|
|
|
831
|
11 |
|
return $returnValue; |
832
|
|
|
} |
833
|
|
|
|
834
|
|
|
/** |
835
|
|
|
* QUOTIENT. |
836
|
|
|
* |
837
|
|
|
* QUOTIENT function returns the integer portion of a division. Numerator is the divided number |
838
|
|
|
* and denominator is the divisor. |
839
|
|
|
* |
840
|
|
|
* Excel Function: |
841
|
|
|
* QUOTIENT(value1[,value2[, ...]]) |
842
|
|
|
* |
843
|
|
|
* @category Mathematical and Trigonometric Functions |
844
|
|
|
* |
845
|
|
|
* @param mixed ...$args Data values |
846
|
|
|
* |
847
|
|
|
* @return float |
848
|
|
|
*/ |
849
|
6 |
|
public static function QUOTIENT(...$args) |
850
|
|
|
{ |
851
|
|
|
// Return value |
852
|
6 |
|
$returnValue = null; |
853
|
|
|
|
854
|
|
|
// Loop through arguments |
855
|
6 |
|
foreach (Functions::flattenArray($args) as $arg) { |
856
|
|
|
// Is it a numeric value? |
857
|
6 |
|
if ((is_numeric($arg)) && (!is_string($arg))) { |
858
|
6 |
|
if ($returnValue === null) { |
859
|
6 |
|
$returnValue = ($arg == 0) ? 0 : $arg; |
860
|
|
|
} else { |
861
|
6 |
|
if (($returnValue == 0) || ($arg == 0)) { |
862
|
|
|
$returnValue = 0; |
863
|
|
|
} else { |
864
|
6 |
|
$returnValue /= $arg; |
865
|
|
|
} |
866
|
|
|
} |
867
|
|
|
} |
868
|
|
|
} |
869
|
|
|
|
870
|
|
|
// Return |
871
|
6 |
|
return (int) $returnValue; |
872
|
|
|
} |
873
|
|
|
|
874
|
|
|
/** |
875
|
|
|
* RAND. |
876
|
|
|
* |
877
|
|
|
* @param int $min Minimal value |
878
|
|
|
* @param int $max Maximal value |
879
|
|
|
* |
880
|
|
|
* @return int Random number |
881
|
|
|
*/ |
882
|
3 |
|
public static function RAND($min = 0, $max = 0) |
883
|
|
|
{ |
884
|
3 |
|
$min = Functions::flattenSingleValue($min); |
885
|
3 |
|
$max = Functions::flattenSingleValue($max); |
886
|
|
|
|
887
|
3 |
|
if ($min == 0 && $max == 0) { |
888
|
1 |
|
return (mt_rand(0, 10000000)) / 10000000; |
889
|
|
|
} |
890
|
|
|
|
891
|
3 |
|
return mt_rand($min, $max); |
892
|
|
|
} |
893
|
|
|
|
894
|
6 |
|
public static function ROMAN($aValue, $style = 0) |
895
|
|
|
{ |
896
|
6 |
|
$aValue = Functions::flattenSingleValue($aValue); |
897
|
6 |
|
$style = ($style === null) ? 0 : (int) Functions::flattenSingleValue($style); |
|
|
|
|
898
|
6 |
|
if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) { |
899
|
|
|
return Functions::VALUE(); |
900
|
|
|
} |
901
|
6 |
|
$aValue = (int) $aValue; |
902
|
6 |
|
if ($aValue == 0) { |
903
|
|
|
return ''; |
904
|
|
|
} |
905
|
|
|
|
906
|
6 |
|
$mill = ['', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM']; |
907
|
6 |
|
$cent = ['', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM']; |
908
|
6 |
|
$tens = ['', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC']; |
909
|
6 |
|
$ones = ['', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX']; |
910
|
|
|
|
911
|
6 |
|
$roman = ''; |
912
|
6 |
|
while ($aValue > 5999) { |
913
|
|
|
$roman .= 'M'; |
914
|
|
|
$aValue -= 1000; |
915
|
|
|
} |
916
|
6 |
|
$m = self::romanCut($aValue, 1000); |
917
|
6 |
|
$aValue %= 1000; |
918
|
6 |
|
$c = self::romanCut($aValue, 100); |
919
|
6 |
|
$aValue %= 100; |
920
|
6 |
|
$t = self::romanCut($aValue, 10); |
921
|
6 |
|
$aValue %= 10; |
922
|
|
|
|
923
|
6 |
|
return $roman . $mill[$m] . $cent[$c] . $tens[$t] . $ones[$aValue]; |
924
|
|
|
} |
925
|
|
|
|
926
|
|
|
/** |
927
|
|
|
* ROUNDUP. |
928
|
|
|
* |
929
|
|
|
* Rounds a number up to a specified number of decimal places |
930
|
|
|
* |
931
|
|
|
* @param float $number Number to round |
932
|
|
|
* @param int $digits Number of digits to which you want to round $number |
933
|
|
|
* |
934
|
|
|
* @return float Rounded Number |
935
|
|
|
*/ |
936
|
14 |
|
public static function ROUNDUP($number, $digits) |
937
|
|
|
{ |
938
|
14 |
|
$number = Functions::flattenSingleValue($number); |
939
|
14 |
|
$digits = Functions::flattenSingleValue($digits); |
940
|
|
|
|
941
|
14 |
|
if ((is_numeric($number)) && (is_numeric($digits))) { |
942
|
12 |
|
$significance = pow(10, (int) $digits); |
943
|
12 |
|
if ($number < 0.0) { |
944
|
2 |
|
return floor($number * $significance) / $significance; |
945
|
|
|
} |
946
|
|
|
|
947
|
10 |
|
return ceil($number * $significance) / $significance; |
948
|
|
|
} |
949
|
|
|
|
950
|
2 |
|
return Functions::VALUE(); |
|
|
|
|
951
|
|
|
} |
952
|
|
|
|
953
|
|
|
/** |
954
|
|
|
* ROUNDDOWN. |
955
|
|
|
* |
956
|
|
|
* Rounds a number down to a specified number of decimal places |
957
|
|
|
* |
958
|
|
|
* @param float $number Number to round |
959
|
|
|
* @param int $digits Number of digits to which you want to round $number |
960
|
|
|
* |
961
|
|
|
* @return float Rounded Number |
962
|
|
|
*/ |
963
|
14 |
|
public static function ROUNDDOWN($number, $digits) |
964
|
|
|
{ |
965
|
14 |
|
$number = Functions::flattenSingleValue($number); |
966
|
14 |
|
$digits = Functions::flattenSingleValue($digits); |
967
|
|
|
|
968
|
14 |
|
if ((is_numeric($number)) && (is_numeric($digits))) { |
969
|
12 |
|
$significance = pow(10, (int) $digits); |
970
|
12 |
|
if ($number < 0.0) { |
971
|
2 |
|
return ceil($number * $significance) / $significance; |
972
|
|
|
} |
973
|
|
|
|
974
|
10 |
|
return floor($number * $significance) / $significance; |
975
|
|
|
} |
976
|
|
|
|
977
|
2 |
|
return Functions::VALUE(); |
|
|
|
|
978
|
|
|
} |
979
|
|
|
|
980
|
|
|
/** |
981
|
|
|
* SERIESSUM. |
982
|
|
|
* |
983
|
|
|
* Returns the sum of a power series |
984
|
|
|
* |
985
|
|
|
* @param float $x Input value to the power series |
986
|
|
|
* @param float $n Initial power to which you want to raise $x |
987
|
|
|
* @param float $m Step by which to increase $n for each term in the series |
988
|
|
|
* @param array of mixed Data Series |
989
|
|
|
* |
990
|
|
|
* @return float |
991
|
|
|
*/ |
992
|
2 |
|
public static function SERIESSUM(...$args) |
993
|
|
|
{ |
994
|
2 |
|
$returnValue = 0; |
995
|
|
|
|
996
|
|
|
// Loop through arguments |
997
|
2 |
|
$aArgs = Functions::flattenArray($args); |
998
|
|
|
|
999
|
2 |
|
$x = array_shift($aArgs); |
1000
|
2 |
|
$n = array_shift($aArgs); |
1001
|
2 |
|
$m = array_shift($aArgs); |
1002
|
|
|
|
1003
|
2 |
|
if ((is_numeric($x)) && (is_numeric($n)) && (is_numeric($m))) { |
1004
|
|
|
// Calculate |
1005
|
2 |
|
$i = 0; |
1006
|
2 |
|
foreach ($aArgs as $arg) { |
1007
|
|
|
// Is it a numeric value? |
1008
|
2 |
|
if ((is_numeric($arg)) && (!is_string($arg))) { |
1009
|
2 |
|
$returnValue += $arg * pow($x, $n + ($m * $i++)); |
1010
|
|
|
} else { |
1011
|
|
|
return Functions::VALUE(); |
|
|
|
|
1012
|
|
|
} |
1013
|
|
|
} |
1014
|
|
|
|
1015
|
2 |
|
return $returnValue; |
1016
|
|
|
} |
1017
|
|
|
|
1018
|
|
|
return Functions::VALUE(); |
|
|
|
|
1019
|
|
|
} |
1020
|
|
|
|
1021
|
|
|
/** |
1022
|
|
|
* SIGN. |
1023
|
|
|
* |
1024
|
|
|
* Determines the sign of a number. Returns 1 if the number is positive, zero (0) |
1025
|
|
|
* if the number is 0, and -1 if the number is negative. |
1026
|
|
|
* |
1027
|
|
|
* @param float $number Number to round |
1028
|
|
|
* |
1029
|
|
|
* @return int sign value |
1030
|
|
|
*/ |
1031
|
72 |
|
public static function SIGN($number) |
1032
|
|
|
{ |
1033
|
72 |
|
$number = Functions::flattenSingleValue($number); |
1034
|
|
|
|
1035
|
72 |
|
if (is_bool($number)) { |
1036
|
2 |
|
return (int) $number; |
1037
|
|
|
} |
1038
|
70 |
|
if (is_numeric($number)) { |
1039
|
69 |
|
if ($number == 0.0) { |
1040
|
4 |
|
return 0; |
1041
|
|
|
} |
1042
|
|
|
|
1043
|
65 |
|
return $number / abs($number); |
1044
|
|
|
} |
1045
|
|
|
|
1046
|
1 |
|
return Functions::VALUE(); |
|
|
|
|
1047
|
|
|
} |
1048
|
|
|
|
1049
|
|
|
/** |
1050
|
|
|
* SQRTPI. |
1051
|
|
|
* |
1052
|
|
|
* Returns the square root of (number * pi). |
1053
|
|
|
* |
1054
|
|
|
* @param float $number Number |
1055
|
|
|
* |
1056
|
|
|
* @return float Square Root of Number * Pi |
1057
|
|
|
*/ |
1058
|
15 |
|
public static function SQRTPI($number) |
1059
|
|
|
{ |
1060
|
15 |
|
$number = Functions::flattenSingleValue($number); |
1061
|
|
|
|
1062
|
15 |
|
if (is_numeric($number)) { |
1063
|
14 |
|
if ($number < 0) { |
1064
|
3 |
|
return Functions::NAN(); |
|
|
|
|
1065
|
|
|
} |
1066
|
|
|
|
1067
|
11 |
|
return sqrt($number * M_PI); |
1068
|
|
|
} |
1069
|
|
|
|
1070
|
1 |
|
return Functions::VALUE(); |
|
|
|
|
1071
|
|
|
} |
1072
|
|
|
|
1073
|
11 |
|
protected static function filterHiddenArgs($cellReference, $args) |
1074
|
|
|
{ |
1075
|
11 |
|
return array_filter( |
1076
|
|
|
$args, |
1077
|
|
|
function ($index) use ($cellReference) { |
1078
|
11 |
|
[, $row, $column] = explode('.', $index); |
1079
|
|
|
|
1080
|
11 |
|
return $cellReference->getWorksheet()->getRowDimension($row)->getVisible() && |
1081
|
11 |
|
$cellReference->getWorksheet()->getColumnDimension($column)->getVisible(); |
1082
|
11 |
|
}, |
1083
|
11 |
|
ARRAY_FILTER_USE_KEY |
1084
|
|
|
); |
1085
|
|
|
} |
1086
|
|
|
|
1087
|
23 |
|
protected static function filterFormulaArgs($cellReference, $args) |
1088
|
|
|
{ |
1089
|
23 |
|
return array_filter( |
1090
|
|
|
$args, |
1091
|
|
|
function ($index) use ($cellReference) { |
1092
|
23 |
|
[, $row, $column] = explode('.', $index); |
1093
|
23 |
|
if ($cellReference->getWorksheet()->cellExists($column . $row)) { |
1094
|
|
|
//take this cell out if it contains the SUBTOTAL or AGGREGATE functions in a formula |
1095
|
23 |
|
$isFormula = $cellReference->getWorksheet()->getCell($column . $row)->isFormula(); |
1096
|
23 |
|
$cellFormula = !preg_match('/^=.*\b(SUBTOTAL|AGGREGATE)\s*\(/i', $cellReference->getWorksheet()->getCell($column . $row)->getValue()); |
1097
|
|
|
|
1098
|
23 |
|
return !$isFormula || $cellFormula; |
1099
|
|
|
} |
1100
|
|
|
|
1101
|
|
|
return true; |
1102
|
23 |
|
}, |
1103
|
23 |
|
ARRAY_FILTER_USE_KEY |
1104
|
|
|
); |
1105
|
|
|
} |
1106
|
|
|
|
1107
|
|
|
/** |
1108
|
|
|
* SUBTOTAL. |
1109
|
|
|
* |
1110
|
|
|
* Returns a subtotal in a list or database. |
1111
|
|
|
* |
1112
|
|
|
* @param int the number 1 to 11 that specifies which function to |
|
|
|
|
1113
|
|
|
* use in calculating subtotals within a range |
1114
|
|
|
* list |
1115
|
|
|
* Numbers 101 to 111 shadow the functions of 1 to 11 |
1116
|
|
|
* but ignore any values in the range that are |
1117
|
|
|
* in hidden rows or columns |
1118
|
|
|
* @param array of mixed Data Series |
1119
|
|
|
* |
1120
|
|
|
* @return float|string |
1121
|
|
|
*/ |
1122
|
23 |
|
public static function SUBTOTAL(...$args) |
1123
|
|
|
{ |
1124
|
23 |
|
$cellReference = array_pop($args); |
1125
|
23 |
|
$aArgs = Functions::flattenArrayIndexed($args); |
1126
|
23 |
|
$subtotal = array_shift($aArgs); |
1127
|
|
|
|
1128
|
|
|
// Calculate |
1129
|
23 |
|
if ((is_numeric($subtotal)) && (!is_string($subtotal))) { |
1130
|
23 |
|
if ($subtotal > 100) { |
1131
|
11 |
|
$aArgs = self::filterHiddenArgs($cellReference, $aArgs); |
1132
|
11 |
|
$subtotal -= 100; |
1133
|
|
|
} |
1134
|
|
|
|
1135
|
23 |
|
$aArgs = self::filterFormulaArgs($cellReference, $aArgs); |
1136
|
|
|
switch ($subtotal) { |
1137
|
23 |
|
case 1: |
1138
|
2 |
|
return Statistical::AVERAGE($aArgs); |
1139
|
21 |
|
case 2: |
1140
|
2 |
|
return Statistical::COUNT($aArgs); |
1141
|
19 |
|
case 3: |
1142
|
2 |
|
return Statistical::COUNTA($aArgs); |
1143
|
17 |
|
case 4: |
1144
|
2 |
|
return Statistical::MAX($aArgs); |
1145
|
15 |
|
case 5: |
1146
|
2 |
|
return Statistical::MIN($aArgs); |
1147
|
13 |
|
case 6: |
1148
|
2 |
|
return self::PRODUCT($aArgs); |
1149
|
11 |
|
case 7: |
1150
|
2 |
|
return Statistical::STDEV($aArgs); |
1151
|
9 |
|
case 8: |
1152
|
2 |
|
return Statistical::STDEVP($aArgs); |
1153
|
7 |
|
case 9: |
1154
|
3 |
|
return self::SUM($aArgs); |
1155
|
4 |
|
case 10: |
1156
|
2 |
|
return Statistical::VARFunc($aArgs); |
1157
|
2 |
|
case 11: |
1158
|
2 |
|
return Statistical::VARP($aArgs); |
1159
|
|
|
} |
1160
|
|
|
} |
1161
|
|
|
|
1162
|
|
|
return Functions::VALUE(); |
1163
|
|
|
} |
1164
|
|
|
|
1165
|
|
|
/** |
1166
|
|
|
* SUM. |
1167
|
|
|
* |
1168
|
|
|
* SUM computes the sum of all the values and cells referenced in the argument list. |
1169
|
|
|
* |
1170
|
|
|
* Excel Function: |
1171
|
|
|
* SUM(value1[,value2[, ...]]) |
1172
|
|
|
* |
1173
|
|
|
* @category Mathematical and Trigonometric Functions |
1174
|
|
|
* |
1175
|
|
|
* @param mixed ...$args Data values |
1176
|
|
|
* |
1177
|
|
|
* @return float |
1178
|
|
|
*/ |
1179
|
32 |
|
public static function SUM(...$args) |
1180
|
|
|
{ |
1181
|
32 |
|
$returnValue = 0; |
1182
|
|
|
|
1183
|
|
|
// Loop through the arguments |
1184
|
32 |
|
foreach (Functions::flattenArray($args) as $arg) { |
1185
|
|
|
// Is it a numeric value? |
1186
|
32 |
|
if ((is_numeric($arg)) && (!is_string($arg))) { |
1187
|
32 |
|
$returnValue += $arg; |
1188
|
|
|
} |
1189
|
|
|
} |
1190
|
|
|
|
1191
|
32 |
|
return $returnValue; |
1192
|
|
|
} |
1193
|
|
|
|
1194
|
|
|
/** |
1195
|
|
|
* SUMIF. |
1196
|
|
|
* |
1197
|
|
|
* Counts the number of cells that contain numbers within the list of arguments |
1198
|
|
|
* |
1199
|
|
|
* Excel Function: |
1200
|
|
|
* SUMIF(value1[,value2[, ...]],condition) |
1201
|
|
|
* |
1202
|
|
|
* @category Mathematical and Trigonometric Functions |
1203
|
|
|
* |
1204
|
|
|
* @param mixed $aArgs Data values |
1205
|
|
|
* @param string $condition the criteria that defines which cells will be summed |
1206
|
|
|
* @param mixed $sumArgs |
1207
|
|
|
* |
1208
|
|
|
* @return float |
1209
|
|
|
*/ |
1210
|
10 |
|
public static function SUMIF($aArgs, $condition, $sumArgs = []) |
1211
|
|
|
{ |
1212
|
10 |
|
$returnValue = 0; |
1213
|
|
|
|
1214
|
10 |
|
$aArgs = Functions::flattenArray($aArgs); |
1215
|
10 |
|
$sumArgs = Functions::flattenArray($sumArgs); |
1216
|
10 |
|
if (empty($sumArgs)) { |
1217
|
1 |
|
$sumArgs = $aArgs; |
1218
|
|
|
} |
1219
|
10 |
|
$condition = Functions::ifCondition($condition); |
1220
|
|
|
// Loop through arguments |
1221
|
10 |
|
foreach ($aArgs as $key => $arg) { |
1222
|
10 |
|
if (!is_numeric($arg)) { |
1223
|
6 |
|
$arg = str_replace('"', '""', $arg); |
1224
|
6 |
|
$arg = Calculation::wrapResult(strtoupper($arg)); |
1225
|
|
|
} |
1226
|
|
|
|
1227
|
10 |
|
$testCondition = '=' . $arg . $condition; |
1228
|
10 |
|
$sumValue = array_key_exists($key, $sumArgs) ? $sumArgs[$key] : 0; |
1229
|
|
|
|
1230
|
10 |
|
if (is_numeric($sumValue) && |
1231
|
10 |
|
Calculation::getInstance()->_calculateFormulaValue($testCondition)) { |
1232
|
|
|
// Is it a value within our criteria and only numeric can be added to the result |
1233
|
10 |
|
$returnValue += $sumValue; |
1234
|
|
|
} |
1235
|
|
|
} |
1236
|
|
|
|
1237
|
10 |
|
return $returnValue; |
1238
|
|
|
} |
1239
|
|
|
|
1240
|
|
|
/** |
1241
|
|
|
* SUMIFS. |
1242
|
|
|
* |
1243
|
|
|
* Counts the number of cells that contain numbers within the list of arguments |
1244
|
|
|
* |
1245
|
|
|
* Excel Function: |
1246
|
|
|
* SUMIFS(value1[,value2[, ...]],condition) |
1247
|
|
|
* |
1248
|
|
|
* @category Mathematical and Trigonometric Functions |
1249
|
|
|
* |
1250
|
|
|
* @param mixed $args Data values |
1251
|
|
|
* @param string $condition the criteria that defines which cells will be summed |
1252
|
|
|
* |
1253
|
|
|
* @return float |
1254
|
|
|
*/ |
1255
|
2 |
|
public static function SUMIFS(...$args) |
1256
|
|
|
{ |
1257
|
2 |
|
$arrayList = $args; |
1258
|
|
|
|
1259
|
|
|
// Return value |
1260
|
2 |
|
$returnValue = 0; |
1261
|
|
|
|
1262
|
2 |
|
$sumArgs = Functions::flattenArray(array_shift($arrayList)); |
1263
|
2 |
|
$aArgsArray = []; |
1264
|
2 |
|
$conditions = []; |
1265
|
|
|
|
1266
|
2 |
|
while (count($arrayList) > 0) { |
1267
|
2 |
|
$aArgsArray[] = Functions::flattenArray(array_shift($arrayList)); |
1268
|
2 |
|
$conditions[] = Functions::ifCondition(array_shift($arrayList)); |
1269
|
|
|
} |
1270
|
|
|
|
1271
|
|
|
// Loop through each sum and see if arguments and conditions are true |
1272
|
2 |
|
foreach ($sumArgs as $index => $value) { |
1273
|
2 |
|
$valid = true; |
1274
|
|
|
|
1275
|
2 |
|
foreach ($conditions as $cidx => $condition) { |
1276
|
2 |
|
$arg = $aArgsArray[$cidx][$index]; |
1277
|
|
|
|
1278
|
|
|
// Loop through arguments |
1279
|
2 |
|
if (!is_numeric($arg)) { |
1280
|
2 |
|
$arg = Calculation::wrapResult(strtoupper($arg)); |
1281
|
|
|
} |
1282
|
2 |
|
$testCondition = '=' . $arg . $condition; |
1283
|
2 |
|
if (!Calculation::getInstance()->_calculateFormulaValue($testCondition)) { |
1284
|
|
|
// Is not a value within our criteria |
1285
|
2 |
|
$valid = false; |
1286
|
|
|
|
1287
|
2 |
|
break; // if false found, don't need to check other conditions |
1288
|
|
|
} |
1289
|
|
|
} |
1290
|
|
|
|
1291
|
2 |
|
if ($valid) { |
1292
|
2 |
|
$returnValue += $value; |
1293
|
|
|
} |
1294
|
|
|
} |
1295
|
|
|
|
1296
|
|
|
// Return |
1297
|
2 |
|
return $returnValue; |
1298
|
|
|
} |
1299
|
|
|
|
1300
|
|
|
/** |
1301
|
|
|
* SUMPRODUCT. |
1302
|
|
|
* |
1303
|
|
|
* Excel Function: |
1304
|
|
|
* SUMPRODUCT(value1[,value2[, ...]]) |
1305
|
|
|
* |
1306
|
|
|
* @category Mathematical and Trigonometric Functions |
1307
|
|
|
* |
1308
|
|
|
* @param mixed ...$args Data values |
1309
|
|
|
* |
1310
|
|
|
* @return float |
1311
|
|
|
*/ |
1312
|
3 |
|
public static function SUMPRODUCT(...$args) |
1313
|
|
|
{ |
1314
|
3 |
|
$arrayList = $args; |
1315
|
|
|
|
1316
|
3 |
|
$wrkArray = Functions::flattenArray(array_shift($arrayList)); |
1317
|
3 |
|
$wrkCellCount = count($wrkArray); |
1318
|
|
|
|
1319
|
3 |
|
for ($i = 0; $i < $wrkCellCount; ++$i) { |
1320
|
3 |
|
if ((!is_numeric($wrkArray[$i])) || (is_string($wrkArray[$i]))) { |
1321
|
|
|
$wrkArray[$i] = 0; |
1322
|
|
|
} |
1323
|
|
|
} |
1324
|
|
|
|
1325
|
3 |
|
foreach ($arrayList as $matrixData) { |
1326
|
3 |
|
$array2 = Functions::flattenArray($matrixData); |
1327
|
3 |
|
$count = count($array2); |
1328
|
3 |
|
if ($wrkCellCount != $count) { |
1329
|
|
|
return Functions::VALUE(); |
|
|
|
|
1330
|
|
|
} |
1331
|
|
|
|
1332
|
3 |
|
foreach ($array2 as $i => $val) { |
1333
|
3 |
|
if ((!is_numeric($val)) || (is_string($val))) { |
1334
|
|
|
$val = 0; |
1335
|
|
|
} |
1336
|
3 |
|
$wrkArray[$i] *= $val; |
1337
|
|
|
} |
1338
|
|
|
} |
1339
|
|
|
|
1340
|
3 |
|
return array_sum($wrkArray); |
1341
|
|
|
} |
1342
|
|
|
|
1343
|
|
|
/** |
1344
|
|
|
* SUMSQ. |
1345
|
|
|
* |
1346
|
|
|
* SUMSQ returns the sum of the squares of the arguments |
1347
|
|
|
* |
1348
|
|
|
* Excel Function: |
1349
|
|
|
* SUMSQ(value1[,value2[, ...]]) |
1350
|
|
|
* |
1351
|
|
|
* @category Mathematical and Trigonometric Functions |
1352
|
|
|
* |
1353
|
|
|
* @param mixed ...$args Data values |
1354
|
|
|
* |
1355
|
|
|
* @return float |
1356
|
|
|
*/ |
1357
|
7 |
|
public static function SUMSQ(...$args) |
1358
|
|
|
{ |
1359
|
7 |
|
$returnValue = 0; |
1360
|
|
|
|
1361
|
|
|
// Loop through arguments |
1362
|
7 |
|
foreach (Functions::flattenArray($args) as $arg) { |
1363
|
|
|
// Is it a numeric value? |
1364
|
7 |
|
if ((is_numeric($arg)) && (!is_string($arg))) { |
1365
|
7 |
|
$returnValue += ($arg * $arg); |
1366
|
|
|
} |
1367
|
|
|
} |
1368
|
|
|
|
1369
|
7 |
|
return $returnValue; |
1370
|
|
|
} |
1371
|
|
|
|
1372
|
|
|
/** |
1373
|
|
|
* SUMX2MY2. |
1374
|
|
|
* |
1375
|
|
|
* @param mixed[] $matrixData1 Matrix #1 |
1376
|
|
|
* @param mixed[] $matrixData2 Matrix #2 |
1377
|
|
|
* |
1378
|
|
|
* @return float |
1379
|
|
|
*/ |
1380
|
3 |
|
public static function SUMX2MY2($matrixData1, $matrixData2) |
1381
|
|
|
{ |
1382
|
3 |
|
$array1 = Functions::flattenArray($matrixData1); |
1383
|
3 |
|
$array2 = Functions::flattenArray($matrixData2); |
1384
|
3 |
|
$count = min(count($array1), count($array2)); |
1385
|
|
|
|
1386
|
3 |
|
$result = 0; |
1387
|
3 |
|
for ($i = 0; $i < $count; ++$i) { |
1388
|
3 |
|
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
1389
|
3 |
|
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
1390
|
3 |
|
$result += ($array1[$i] * $array1[$i]) - ($array2[$i] * $array2[$i]); |
1391
|
|
|
} |
1392
|
|
|
} |
1393
|
|
|
|
1394
|
3 |
|
return $result; |
1395
|
|
|
} |
1396
|
|
|
|
1397
|
|
|
/** |
1398
|
|
|
* SUMX2PY2. |
1399
|
|
|
* |
1400
|
|
|
* @param mixed[] $matrixData1 Matrix #1 |
1401
|
|
|
* @param mixed[] $matrixData2 Matrix #2 |
1402
|
|
|
* |
1403
|
|
|
* @return float |
1404
|
|
|
*/ |
1405
|
3 |
|
public static function SUMX2PY2($matrixData1, $matrixData2) |
1406
|
|
|
{ |
1407
|
3 |
|
$array1 = Functions::flattenArray($matrixData1); |
1408
|
3 |
|
$array2 = Functions::flattenArray($matrixData2); |
1409
|
3 |
|
$count = min(count($array1), count($array2)); |
1410
|
|
|
|
1411
|
3 |
|
$result = 0; |
1412
|
3 |
|
for ($i = 0; $i < $count; ++$i) { |
1413
|
3 |
|
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
1414
|
3 |
|
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
1415
|
3 |
|
$result += ($array1[$i] * $array1[$i]) + ($array2[$i] * $array2[$i]); |
1416
|
|
|
} |
1417
|
|
|
} |
1418
|
|
|
|
1419
|
3 |
|
return $result; |
1420
|
|
|
} |
1421
|
|
|
|
1422
|
|
|
/** |
1423
|
|
|
* SUMXMY2. |
1424
|
|
|
* |
1425
|
|
|
* @param mixed[] $matrixData1 Matrix #1 |
1426
|
|
|
* @param mixed[] $matrixData2 Matrix #2 |
1427
|
|
|
* |
1428
|
|
|
* @return float |
1429
|
|
|
*/ |
1430
|
3 |
|
public static function SUMXMY2($matrixData1, $matrixData2) |
1431
|
|
|
{ |
1432
|
3 |
|
$array1 = Functions::flattenArray($matrixData1); |
1433
|
3 |
|
$array2 = Functions::flattenArray($matrixData2); |
1434
|
3 |
|
$count = min(count($array1), count($array2)); |
1435
|
|
|
|
1436
|
3 |
|
$result = 0; |
1437
|
3 |
|
for ($i = 0; $i < $count; ++$i) { |
1438
|
3 |
|
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
1439
|
3 |
|
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
1440
|
3 |
|
$result += ($array1[$i] - $array2[$i]) * ($array1[$i] - $array2[$i]); |
1441
|
|
|
} |
1442
|
|
|
} |
1443
|
|
|
|
1444
|
3 |
|
return $result; |
1445
|
|
|
} |
1446
|
|
|
|
1447
|
|
|
/** |
1448
|
|
|
* TRUNC. |
1449
|
|
|
* |
1450
|
|
|
* Truncates value to the number of fractional digits by number_digits. |
1451
|
|
|
* |
1452
|
|
|
* @param float $value |
1453
|
|
|
* @param int $digits |
1454
|
|
|
* |
1455
|
|
|
* @return float Truncated value |
1456
|
|
|
*/ |
1457
|
19 |
|
public static function TRUNC($value = 0, $digits = 0) |
1458
|
|
|
{ |
1459
|
19 |
|
$value = Functions::flattenSingleValue($value); |
1460
|
19 |
|
$digits = Functions::flattenSingleValue($digits); |
1461
|
|
|
|
1462
|
|
|
// Validate parameters |
1463
|
19 |
|
if ((!is_numeric($value)) || (!is_numeric($digits))) { |
1464
|
2 |
|
return Functions::VALUE(); |
|
|
|
|
1465
|
|
|
} |
1466
|
17 |
|
$digits = floor($digits); |
1467
|
|
|
|
1468
|
|
|
// Truncate |
1469
|
17 |
|
$adjust = pow(10, $digits); |
1470
|
|
|
|
1471
|
17 |
|
if (($digits > 0) && (rtrim((int) ((abs($value) - abs((int) $value)) * $adjust), '0') < $adjust / 10)) { |
1472
|
2 |
|
return $value; |
1473
|
|
|
} |
1474
|
|
|
|
1475
|
15 |
|
return ((int) ($value * $adjust)) / $adjust; |
1476
|
|
|
} |
1477
|
|
|
|
1478
|
|
|
/** |
1479
|
|
|
* SEC. |
1480
|
|
|
* |
1481
|
|
|
* Returns the secant of an angle. |
1482
|
|
|
* |
1483
|
|
|
* @param float $angle Number |
1484
|
|
|
* |
1485
|
|
|
* @return float|string The secant of the angle |
1486
|
|
|
*/ |
1487
|
14 |
|
public static function SEC($angle) |
1488
|
|
|
{ |
1489
|
14 |
|
$angle = Functions::flattenSingleValue($angle); |
1490
|
|
|
|
1491
|
14 |
|
if (!is_numeric($angle)) { |
1492
|
1 |
|
return Functions::VALUE(); |
1493
|
|
|
} |
1494
|
|
|
|
1495
|
13 |
|
$result = cos($angle); |
1496
|
|
|
|
1497
|
13 |
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
1498
|
|
|
} |
1499
|
|
|
|
1500
|
|
|
/** |
1501
|
|
|
* SECH. |
1502
|
|
|
* |
1503
|
|
|
* Returns the hyperbolic secant of an angle. |
1504
|
|
|
* |
1505
|
|
|
* @param float $angle Number |
1506
|
|
|
* |
1507
|
|
|
* @return float|string The hyperbolic secant of the angle |
1508
|
|
|
*/ |
1509
|
14 |
|
public static function SECH($angle) |
1510
|
|
|
{ |
1511
|
14 |
|
$angle = Functions::flattenSingleValue($angle); |
1512
|
|
|
|
1513
|
14 |
|
if (!is_numeric($angle)) { |
1514
|
1 |
|
return Functions::VALUE(); |
1515
|
|
|
} |
1516
|
|
|
|
1517
|
13 |
|
$result = cosh($angle); |
1518
|
|
|
|
1519
|
13 |
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
1520
|
|
|
} |
1521
|
|
|
|
1522
|
|
|
/** |
1523
|
|
|
* CSC. |
1524
|
|
|
* |
1525
|
|
|
* Returns the cosecant of an angle. |
1526
|
|
|
* |
1527
|
|
|
* @param float $angle Number |
1528
|
|
|
* |
1529
|
|
|
* @return float|string The cosecant of the angle |
1530
|
|
|
*/ |
1531
|
10 |
|
public static function CSC($angle) |
1532
|
|
|
{ |
1533
|
10 |
|
$angle = Functions::flattenSingleValue($angle); |
1534
|
|
|
|
1535
|
10 |
|
if (!is_numeric($angle)) { |
1536
|
1 |
|
return Functions::VALUE(); |
1537
|
|
|
} |
1538
|
|
|
|
1539
|
9 |
|
$result = sin($angle); |
1540
|
|
|
|
1541
|
9 |
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
1542
|
|
|
} |
1543
|
|
|
|
1544
|
|
|
/** |
1545
|
|
|
* CSCH. |
1546
|
|
|
* |
1547
|
|
|
* Returns the hyperbolic cosecant of an angle. |
1548
|
|
|
* |
1549
|
|
|
* @param float $angle Number |
1550
|
|
|
* |
1551
|
|
|
* @return float|string The hyperbolic cosecant of the angle |
1552
|
|
|
*/ |
1553
|
14 |
|
public static function CSCH($angle) |
1554
|
|
|
{ |
1555
|
14 |
|
$angle = Functions::flattenSingleValue($angle); |
1556
|
|
|
|
1557
|
14 |
|
if (!is_numeric($angle)) { |
1558
|
1 |
|
return Functions::VALUE(); |
1559
|
|
|
} |
1560
|
|
|
|
1561
|
13 |
|
$result = sinh($angle); |
1562
|
|
|
|
1563
|
13 |
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
1564
|
|
|
} |
1565
|
|
|
|
1566
|
|
|
/** |
1567
|
|
|
* COT. |
1568
|
|
|
* |
1569
|
|
|
* Returns the cotangent of an angle. |
1570
|
|
|
* |
1571
|
|
|
* @param float $angle Number |
1572
|
|
|
* |
1573
|
|
|
* @return float|string The cotangent of the angle |
1574
|
|
|
*/ |
1575
|
10 |
|
public static function COT($angle) |
1576
|
|
|
{ |
1577
|
10 |
|
$angle = Functions::flattenSingleValue($angle); |
1578
|
|
|
|
1579
|
10 |
|
if (!is_numeric($angle)) { |
1580
|
1 |
|
return Functions::VALUE(); |
1581
|
|
|
} |
1582
|
|
|
|
1583
|
9 |
|
$result = tan($angle); |
1584
|
|
|
|
1585
|
9 |
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
1586
|
|
|
} |
1587
|
|
|
|
1588
|
|
|
/** |
1589
|
|
|
* COTH. |
1590
|
|
|
* |
1591
|
|
|
* Returns the hyperbolic cotangent of an angle. |
1592
|
|
|
* |
1593
|
|
|
* @param float $angle Number |
1594
|
|
|
* |
1595
|
|
|
* @return float|string The hyperbolic cotangent of the angle |
1596
|
|
|
*/ |
1597
|
14 |
|
public static function COTH($angle) |
1598
|
|
|
{ |
1599
|
14 |
|
$angle = Functions::flattenSingleValue($angle); |
1600
|
|
|
|
1601
|
14 |
|
if (!is_numeric($angle)) { |
1602
|
1 |
|
return Functions::VALUE(); |
1603
|
|
|
} |
1604
|
|
|
|
1605
|
13 |
|
$result = tanh($angle); |
1606
|
|
|
|
1607
|
13 |
|
return ($result == 0.0) ? Functions::DIV0() : 1 / $result; |
1608
|
|
|
} |
1609
|
|
|
|
1610
|
|
|
/** |
1611
|
|
|
* ACOT. |
1612
|
|
|
* |
1613
|
|
|
* Returns the arccotangent of a number. |
1614
|
|
|
* |
1615
|
|
|
* @param float $number Number |
1616
|
|
|
* |
1617
|
|
|
* @return float|string The arccotangent of the number |
1618
|
|
|
*/ |
1619
|
14 |
|
public static function ACOT($number) |
1620
|
|
|
{ |
1621
|
14 |
|
$number = Functions::flattenSingleValue($number); |
1622
|
|
|
|
1623
|
14 |
|
if (!is_numeric($number)) { |
1624
|
1 |
|
return Functions::VALUE(); |
1625
|
|
|
} |
1626
|
|
|
|
1627
|
13 |
|
return (M_PI / 2) - atan($number); |
1628
|
|
|
} |
1629
|
|
|
|
1630
|
|
|
/** |
1631
|
|
|
* ACOTH. |
1632
|
|
|
* |
1633
|
|
|
* Returns the hyperbolic arccotangent of a number. |
1634
|
|
|
* |
1635
|
|
|
* @param float $number Number |
1636
|
|
|
* |
1637
|
|
|
* @return float|string The hyperbolic arccotangent of the number |
1638
|
|
|
*/ |
1639
|
14 |
|
public static function ACOTH($number) |
1640
|
|
|
{ |
1641
|
14 |
|
$number = Functions::flattenSingleValue($number); |
1642
|
|
|
|
1643
|
14 |
|
if (!is_numeric($number)) { |
1644
|
1 |
|
return Functions::VALUE(); |
1645
|
|
|
} |
1646
|
|
|
|
1647
|
13 |
|
$result = log(($number + 1) / ($number - 1)) / 2; |
1648
|
|
|
|
1649
|
13 |
|
return is_nan($result) ? Functions::NAN() : $result; |
1650
|
|
|
} |
1651
|
|
|
} |
1652
|
|
|
|