diff options
Diffstat (limited to 'vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/MathTrig.php')
| -rw-r--r-- | vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/MathTrig.php | 1815 |
1 files changed, 1815 insertions, 0 deletions
diff --git a/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/MathTrig.php b/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/MathTrig.php new file mode 100644 index 0000000..e39cf02 --- /dev/null +++ b/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/MathTrig.php @@ -0,0 +1,1815 @@ +<?php
+
+namespace PhpOffice\PhpSpreadsheet\Calculation;
+
+use Exception;
+use Matrix\Exception as MatrixException;
+use Matrix\Matrix;
+
+class MathTrig
+{
+ //
+ // Private method to return an array of the factors of the input value
+ //
+ private static function factors($value)
+ {
+ $startVal = floor(sqrt($value));
+
+ $factorArray = [];
+ for ($i = $startVal; $i > 1; --$i) {
+ if (($value % $i) == 0) {
+ $factorArray = array_merge($factorArray, self::factors($value / $i));
+ $factorArray = array_merge($factorArray, self::factors($i));
+ if ($i <= sqrt($value)) {
+ break;
+ }
+ }
+ }
+ if (!empty($factorArray)) {
+ rsort($factorArray);
+
+ return $factorArray;
+ }
+
+ return [(int) $value];
+ }
+
+ private static function romanCut($num, $n)
+ {
+ return ($num - ($num % $n)) / $n;
+ }
+
+ /**
+ * ARABIC.
+ *
+ * Converts a Roman numeral to an Arabic numeral.
+ *
+ * Excel Function:
+ * ARABIC(text)
+ *
+ * @param string $roman
+ *
+ * @return int|string the arabic numberal contrived from the roman numeral
+ */
+ public static function ARABIC($roman)
+ {
+ // An empty string should return 0
+ $roman = substr(trim(strtoupper((string) Functions::flattenSingleValue($roman))), 0, 255);
+ if ($roman === '') {
+ return 0;
+ }
+
+ // Convert the roman numeral to an arabic number
+ $negativeNumber = $roman[0] === '-';
+ if ($negativeNumber) {
+ $roman = substr($roman, 1);
+ }
+
+ try {
+ $arabic = self::calculateArabic(str_split($roman));
+ } catch (Exception $e) {
+ return Functions::VALUE(); // Invalid character detected
+ }
+
+ if ($negativeNumber) {
+ $arabic *= -1; // The number should be negative
+ }
+
+ return $arabic;
+ }
+
+ /**
+ * Recursively calculate the arabic value of a roman numeral.
+ *
+ * @param int $sum
+ * @param int $subtract
+ *
+ * @return int
+ */
+ protected static function calculateArabic(array $roman, &$sum = 0, $subtract = 0)
+ {
+ $lookup = [
+ 'M' => 1000,
+ 'D' => 500,
+ 'C' => 100,
+ 'L' => 50,
+ 'X' => 10,
+ 'V' => 5,
+ 'I' => 1,
+ ];
+
+ $numeral = array_shift($roman);
+ if (!isset($lookup[$numeral])) {
+ throw new Exception('Invalid character detected');
+ }
+
+ $arabic = $lookup[$numeral];
+ if (count($roman) > 0 && isset($lookup[$roman[0]]) && $arabic < $lookup[$roman[0]]) {
+ $subtract += $arabic;
+ } else {
+ $sum += ($arabic - $subtract);
+ $subtract = 0;
+ }
+
+ if (count($roman) > 0) {
+ self::calculateArabic($roman, $sum, $subtract);
+ }
+
+ return $sum;
+ }
+
+ /**
+ * ATAN2.
+ *
+ * This function calculates the arc tangent of the two variables x and y. It is similar to
+ * calculating the arc tangent of y รท x, except that the signs of both arguments are used
+ * to determine the quadrant of the result.
+ * The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a
+ * point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between
+ * -pi and pi, excluding -pi.
+ *
+ * Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard
+ * PHP atan2() function, so we need to reverse them here before calling the PHP atan() function.
+ *
+ * Excel Function:
+ * ATAN2(xCoordinate,yCoordinate)
+ *
+ * @param float $xCoordinate the x-coordinate of the point
+ * @param float $yCoordinate the y-coordinate of the point
+ *
+ * @return float|string the inverse tangent of the specified x- and y-coordinates, or a string containing an error
+ */
+ public static function ATAN2($xCoordinate = null, $yCoordinate = null)
+ {
+ $xCoordinate = Functions::flattenSingleValue($xCoordinate);
+ $yCoordinate = Functions::flattenSingleValue($yCoordinate);
+
+ $xCoordinate = ($xCoordinate !== null) ? $xCoordinate : 0.0;
+ $yCoordinate = ($yCoordinate !== null) ? $yCoordinate : 0.0;
+
+ if (
+ ((is_numeric($xCoordinate)) || (is_bool($xCoordinate))) &&
+ ((is_numeric($yCoordinate))) || (is_bool($yCoordinate))
+ ) {
+ $xCoordinate = (float) $xCoordinate;
+ $yCoordinate = (float) $yCoordinate;
+
+ if (($xCoordinate == 0) && ($yCoordinate == 0)) {
+ return Functions::DIV0();
+ }
+
+ return atan2($yCoordinate, $xCoordinate);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * BASE.
+ *
+ * Converts a number into a text representation with the given radix (base).
+ *
+ * Excel Function:
+ * BASE(Number, Radix [Min_length])
+ *
+ * @param float $number
+ * @param float $radix
+ * @param int $minLength
+ *
+ * @return string the text representation with the given radix (base)
+ */
+ public static function BASE($number, $radix, $minLength = null)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $radix = Functions::flattenSingleValue($radix);
+ $minLength = Functions::flattenSingleValue($minLength);
+
+ if (is_numeric($number) && is_numeric($radix) && ($minLength === null || is_numeric($minLength))) {
+ // Truncate to an integer
+ $number = (int) $number;
+ $radix = (int) $radix;
+ $minLength = (int) $minLength;
+
+ if ($number < 0 || $number >= 2 ** 53 || $radix < 2 || $radix > 36) {
+ return Functions::NAN(); // Numeric range constraints
+ }
+
+ $outcome = strtoupper((string) base_convert($number, 10, $radix));
+ if ($minLength !== null) {
+ $outcome = str_pad($outcome, $minLength, '0', STR_PAD_LEFT); // String padding
+ }
+
+ return $outcome;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * CEILING.
+ *
+ * Returns number rounded up, away from zero, to the nearest multiple of significance.
+ * For example, if you want to avoid using pennies in your prices and your product is
+ * priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the
+ * nearest nickel.
+ *
+ * Excel Function:
+ * CEILING(number[,significance])
+ *
+ * @param float $number the number you want to round
+ * @param float $significance the multiple to which you want to round
+ *
+ * @return float|string Rounded Number, or a string containing an error
+ */
+ public static function CEILING($number, $significance = null)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $significance = Functions::flattenSingleValue($significance);
+
+ if (
+ ($significance === null) &&
+ (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)
+ ) {
+ $significance = $number / abs($number);
+ }
+
+ if ((is_numeric($number)) && (is_numeric($significance))) {
+ if (($number == 0.0) || ($significance == 0.0)) {
+ return 0.0;
+ } elseif (self::SIGN($number) == self::SIGN($significance)) {
+ return ceil($number / $significance) * $significance;
+ }
+
+ return Functions::NAN();
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * COMBIN.
+ *
+ * Returns the number of combinations for a given number of items. Use COMBIN to
+ * determine the total possible number of groups for a given number of items.
+ *
+ * Excel Function:
+ * COMBIN(numObjs,numInSet)
+ *
+ * @param int $numObjs Number of different objects
+ * @param int $numInSet Number of objects in each combination
+ *
+ * @return int|string Number of combinations, or a string containing an error
+ */
+ public static function COMBIN($numObjs, $numInSet)
+ {
+ $numObjs = Functions::flattenSingleValue($numObjs);
+ $numInSet = Functions::flattenSingleValue($numInSet);
+
+ if ((is_numeric($numObjs)) && (is_numeric($numInSet))) {
+ if ($numObjs < $numInSet) {
+ return Functions::NAN();
+ } elseif ($numInSet < 0) {
+ return Functions::NAN();
+ }
+
+ return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * EVEN.
+ *
+ * Returns number rounded up to the nearest even integer.
+ * You can use this function for processing items that come in twos. For example,
+ * a packing crate accepts rows of one or two items. The crate is full when
+ * the number of items, rounded up to the nearest two, matches the crate's
+ * capacity.
+ *
+ * Excel Function:
+ * EVEN(number)
+ *
+ * @param float $number Number to round
+ *
+ * @return int|string Rounded Number, or a string containing an error
+ */
+ public static function EVEN($number)
+ {
+ $number = Functions::flattenSingleValue($number);
+
+ if ($number === null) {
+ return 0;
+ } elseif (is_bool($number)) {
+ $number = (int) $number;
+ }
+
+ if (is_numeric($number)) {
+ $significance = 2 * self::SIGN($number);
+
+ return (int) self::CEILING($number, $significance);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * FACT.
+ *
+ * Returns the factorial of a number.
+ * The factorial of a number is equal to 1*2*3*...* number.
+ *
+ * Excel Function:
+ * FACT(factVal)
+ *
+ * @param float $factVal Factorial Value
+ *
+ * @return int|string Factorial, or a string containing an error
+ */
+ public static function FACT($factVal)
+ {
+ $factVal = Functions::flattenSingleValue($factVal);
+
+ if (is_numeric($factVal)) {
+ if ($factVal < 0) {
+ return Functions::NAN();
+ }
+ $factLoop = floor($factVal);
+ if (
+ (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) &&
+ ($factVal > $factLoop)
+ ) {
+ return Functions::NAN();
+ }
+
+ $factorial = 1;
+ while ($factLoop > 1) {
+ $factorial *= $factLoop--;
+ }
+
+ return $factorial;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * FACTDOUBLE.
+ *
+ * Returns the double factorial of a number.
+ *
+ * Excel Function:
+ * FACTDOUBLE(factVal)
+ *
+ * @param float $factVal Factorial Value
+ *
+ * @return int|string Double Factorial, or a string containing an error
+ */
+ public static function FACTDOUBLE($factVal)
+ {
+ $factLoop = Functions::flattenSingleValue($factVal);
+
+ if (is_numeric($factLoop)) {
+ $factLoop = floor($factLoop);
+ if ($factVal < 0) {
+ return Functions::NAN();
+ }
+ $factorial = 1;
+ while ($factLoop > 1) {
+ $factorial *= $factLoop--;
+ --$factLoop;
+ }
+
+ return $factorial;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * FLOOR.
+ *
+ * Rounds number down, toward zero, to the nearest multiple of significance.
+ *
+ * Excel Function:
+ * FLOOR(number[,significance])
+ *
+ * @param float $number Number to round
+ * @param float $significance Significance
+ *
+ * @return float|string Rounded Number, or a string containing an error
+ */
+ public static function FLOOR($number, $significance = null)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $significance = Functions::flattenSingleValue($significance);
+
+ if (
+ ($significance === null) &&
+ (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC)
+ ) {
+ $significance = $number / abs($number);
+ }
+
+ if ((is_numeric($number)) && (is_numeric($significance))) {
+ if ($significance == 0.0) {
+ return Functions::DIV0();
+ } elseif ($number == 0.0) {
+ return 0.0;
+ } elseif (self::SIGN($significance) == 1) {
+ return floor($number / $significance) * $significance;
+ } elseif (self::SIGN($number) == -1 && self::SIGN($significance) == -1) {
+ return floor($number / $significance) * $significance;
+ }
+
+ return Functions::NAN();
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * FLOOR.MATH.
+ *
+ * Round a number down to the nearest integer or to the nearest multiple of significance.
+ *
+ * Excel Function:
+ * FLOOR.MATH(number[,significance[,mode]])
+ *
+ * @param float $number Number to round
+ * @param float $significance Significance
+ * @param int $mode direction to round negative numbers
+ *
+ * @return float|string Rounded Number, or a string containing an error
+ */
+ public static function FLOORMATH($number, $significance = null, $mode = 0)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $significance = Functions::flattenSingleValue($significance);
+ $mode = Functions::flattenSingleValue($mode);
+
+ if (is_numeric($number) && $significance === null) {
+ $significance = $number / abs($number);
+ }
+
+ if (is_numeric($number) && is_numeric($significance) && is_numeric($mode)) {
+ if ($significance == 0.0) {
+ return Functions::DIV0();
+ } elseif ($number == 0.0) {
+ return 0.0;
+ } elseif (self::SIGN($significance) == -1 || (self::SIGN($number) == -1 && !empty($mode))) {
+ return ceil($number / $significance) * $significance;
+ }
+
+ return floor($number / $significance) * $significance;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * FLOOR.PRECISE.
+ *
+ * Rounds number down, toward zero, to the nearest multiple of significance.
+ *
+ * Excel Function:
+ * FLOOR.PRECISE(number[,significance])
+ *
+ * @param float $number Number to round
+ * @param float $significance Significance
+ *
+ * @return float|string Rounded Number, or a string containing an error
+ */
+ public static function FLOORPRECISE($number, $significance = 1)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $significance = Functions::flattenSingleValue($significance);
+
+ if ((is_numeric($number)) && (is_numeric($significance))) {
+ if ($significance == 0.0) {
+ return Functions::DIV0();
+ } elseif ($number == 0.0) {
+ return 0.0;
+ }
+
+ return floor($number / abs($significance)) * abs($significance);
+ }
+
+ return Functions::VALUE();
+ }
+
+ private static function evaluateGCD($a, $b)
+ {
+ return $b ? self::evaluateGCD($b, $a % $b) : $a;
+ }
+
+ /**
+ * GCD.
+ *
+ * Returns the greatest common divisor of a series of numbers.
+ * The greatest common divisor is the largest integer that divides both
+ * number1 and number2 without a remainder.
+ *
+ * Excel Function:
+ * GCD(number1[,number2[, ...]])
+ *
+ * @param mixed ...$args Data values
+ *
+ * @return int|mixed|string Greatest Common Divisor, or a string containing an error
+ */
+ public static function GCD(...$args)
+ {
+ $args = Functions::flattenArray($args);
+ // Loop through arguments
+ foreach (Functions::flattenArray($args) as $value) {
+ if (!is_numeric($value)) {
+ return Functions::VALUE();
+ } elseif ($value < 0) {
+ return Functions::NAN();
+ }
+ }
+
+ $gcd = (int) array_pop($args);
+ do {
+ $gcd = self::evaluateGCD($gcd, (int) array_pop($args));
+ } while (!empty($args));
+
+ return $gcd;
+ }
+
+ /**
+ * INT.
+ *
+ * Casts a floating point value to an integer
+ *
+ * Excel Function:
+ * INT(number)
+ *
+ * @param float $number Number to cast to an integer
+ *
+ * @return int|string Integer value, or a string containing an error
+ */
+ public static function INT($number)
+ {
+ $number = Functions::flattenSingleValue($number);
+
+ if ($number === null) {
+ return 0;
+ } elseif (is_bool($number)) {
+ return (int) $number;
+ }
+ if (is_numeric($number)) {
+ return (int) floor($number);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * LCM.
+ *
+ * Returns the lowest common multiplier of a series of numbers
+ * The least common multiple is the smallest positive integer that is a multiple
+ * of all integer arguments number1, number2, and so on. Use LCM to add fractions
+ * with different denominators.
+ *
+ * Excel Function:
+ * LCM(number1[,number2[, ...]])
+ *
+ * @param mixed ...$args Data values
+ *
+ * @return int|string Lowest Common Multiplier, or a string containing an error
+ */
+ public static function LCM(...$args)
+ {
+ $returnValue = 1;
+ $allPoweredFactors = [];
+ // Loop through arguments
+ foreach (Functions::flattenArray($args) as $value) {
+ if (!is_numeric($value)) {
+ return Functions::VALUE();
+ }
+ if ($value == 0) {
+ return 0;
+ } elseif ($value < 0) {
+ return Functions::NAN();
+ }
+ $myFactors = self::factors(floor($value));
+ $myCountedFactors = array_count_values($myFactors);
+ $myPoweredFactors = [];
+ foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) {
+ $myPoweredFactors[$myCountedFactor] = $myCountedFactor ** $myCountedPower;
+ }
+ foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) {
+ if (isset($allPoweredFactors[$myPoweredValue])) {
+ if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) {
+ $allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
+ }
+ } else {
+ $allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
+ }
+ }
+ }
+ foreach ($allPoweredFactors as $allPoweredFactor) {
+ $returnValue *= (int) $allPoweredFactor;
+ }
+
+ return $returnValue;
+ }
+
+ /**
+ * LOG_BASE.
+ *
+ * Returns the logarithm of a number to a specified base. The default base is 10.
+ *
+ * Excel Function:
+ * LOG(number[,base])
+ *
+ * @param float $number The positive real number for which you want the logarithm
+ * @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10.
+ *
+ * @return float|string The result, or a string containing an error
+ */
+ public static function logBase($number = null, $base = 10)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $base = ($base === null) ? 10 : (float) Functions::flattenSingleValue($base);
+
+ if ((!is_numeric($base)) || (!is_numeric($number))) {
+ return Functions::VALUE();
+ }
+ if (($base <= 0) || ($number <= 0)) {
+ return Functions::NAN();
+ }
+
+ return log($number, $base);
+ }
+
+ /**
+ * MDETERM.
+ *
+ * Returns the matrix determinant of an array.
+ *
+ * Excel Function:
+ * MDETERM(array)
+ *
+ * @param array $matrixValues A matrix of values
+ *
+ * @return float|string The result, or a string containing an error
+ */
+ public static function MDETERM($matrixValues)
+ {
+ $matrixData = [];
+ if (!is_array($matrixValues)) {
+ $matrixValues = [[$matrixValues]];
+ }
+
+ $row = $maxColumn = 0;
+ foreach ($matrixValues as $matrixRow) {
+ if (!is_array($matrixRow)) {
+ $matrixRow = [$matrixRow];
+ }
+ $column = 0;
+ foreach ($matrixRow as $matrixCell) {
+ if ((is_string($matrixCell)) || ($matrixCell === null)) {
+ return Functions::VALUE();
+ }
+ $matrixData[$row][$column] = $matrixCell;
+ ++$column;
+ }
+ if ($column > $maxColumn) {
+ $maxColumn = $column;
+ }
+ ++$row;
+ }
+
+ $matrix = new Matrix($matrixData);
+ if (!$matrix->isSquare()) {
+ return Functions::VALUE();
+ }
+
+ try {
+ return $matrix->determinant();
+ } catch (MatrixException $ex) {
+ return Functions::VALUE();
+ }
+ }
+
+ /**
+ * MINVERSE.
+ *
+ * Returns the inverse matrix for the matrix stored in an array.
+ *
+ * Excel Function:
+ * MINVERSE(array)
+ *
+ * @param array $matrixValues A matrix of values
+ *
+ * @return array|string The result, or a string containing an error
+ */
+ public static function MINVERSE($matrixValues)
+ {
+ $matrixData = [];
+ if (!is_array($matrixValues)) {
+ $matrixValues = [[$matrixValues]];
+ }
+
+ $row = $maxColumn = 0;
+ foreach ($matrixValues as $matrixRow) {
+ if (!is_array($matrixRow)) {
+ $matrixRow = [$matrixRow];
+ }
+ $column = 0;
+ foreach ($matrixRow as $matrixCell) {
+ if ((is_string($matrixCell)) || ($matrixCell === null)) {
+ return Functions::VALUE();
+ }
+ $matrixData[$row][$column] = $matrixCell;
+ ++$column;
+ }
+ if ($column > $maxColumn) {
+ $maxColumn = $column;
+ }
+ ++$row;
+ }
+
+ $matrix = new Matrix($matrixData);
+ if (!$matrix->isSquare()) {
+ return Functions::VALUE();
+ }
+
+ if ($matrix->determinant() == 0.0) {
+ return Functions::NAN();
+ }
+
+ try {
+ return $matrix->inverse()->toArray();
+ } catch (MatrixException $ex) {
+ return Functions::VALUE();
+ }
+ }
+
+ /**
+ * MMULT.
+ *
+ * @param array $matrixData1 A matrix of values
+ * @param array $matrixData2 A matrix of values
+ *
+ * @return array|string The result, or a string containing an error
+ */
+ public static function MMULT($matrixData1, $matrixData2)
+ {
+ $matrixAData = $matrixBData = [];
+ if (!is_array($matrixData1)) {
+ $matrixData1 = [[$matrixData1]];
+ }
+ if (!is_array($matrixData2)) {
+ $matrixData2 = [[$matrixData2]];
+ }
+
+ try {
+ $rowA = 0;
+ foreach ($matrixData1 as $matrixRow) {
+ if (!is_array($matrixRow)) {
+ $matrixRow = [$matrixRow];
+ }
+ $columnA = 0;
+ foreach ($matrixRow as $matrixCell) {
+ if ((!is_numeric($matrixCell)) || ($matrixCell === null)) {
+ return Functions::VALUE();
+ }
+ $matrixAData[$rowA][$columnA] = $matrixCell;
+ ++$columnA;
+ }
+ ++$rowA;
+ }
+ $matrixA = new Matrix($matrixAData);
+ $rowB = 0;
+ foreach ($matrixData2 as $matrixRow) {
+ if (!is_array($matrixRow)) {
+ $matrixRow = [$matrixRow];
+ }
+ $columnB = 0;
+ foreach ($matrixRow as $matrixCell) {
+ if ((!is_numeric($matrixCell)) || ($matrixCell === null)) {
+ return Functions::VALUE();
+ }
+ $matrixBData[$rowB][$columnB] = $matrixCell;
+ ++$columnB;
+ }
+ ++$rowB;
+ }
+ $matrixB = new Matrix($matrixBData);
+
+ if ($columnA != $rowB) {
+ return Functions::VALUE();
+ }
+
+ return $matrixA->multiply($matrixB)->toArray();
+ } catch (MatrixException $ex) {
+ return Functions::VALUE();
+ }
+ }
+
+ /**
+ * MOD.
+ *
+ * @param int $a Dividend
+ * @param int $b Divisor
+ *
+ * @return int|string Remainder, or a string containing an error
+ */
+ public static function MOD($a = 1, $b = 1)
+ {
+ $a = (float) Functions::flattenSingleValue($a);
+ $b = (float) Functions::flattenSingleValue($b);
+
+ if ($b == 0.0) {
+ return Functions::DIV0();
+ } elseif (($a < 0.0) && ($b > 0.0)) {
+ return $b - fmod(abs($a), $b);
+ } elseif (($a > 0.0) && ($b < 0.0)) {
+ return $b + fmod($a, abs($b));
+ }
+
+ return fmod($a, $b);
+ }
+
+ /**
+ * MROUND.
+ *
+ * Rounds a number to the nearest multiple of a specified value
+ *
+ * @param float $number Number to round
+ * @param int $multiple Multiple to which you want to round $number
+ *
+ * @return float|string Rounded Number, or a string containing an error
+ */
+ public static function MROUND($number, $multiple)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $multiple = Functions::flattenSingleValue($multiple);
+
+ if ((is_numeric($number)) && (is_numeric($multiple))) {
+ if ($multiple == 0) {
+ return 0;
+ }
+ if ((self::SIGN($number)) == (self::SIGN($multiple))) {
+ $multiplier = 1 / $multiple;
+
+ return round($number * $multiplier) / $multiplier;
+ }
+
+ return Functions::NAN();
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * MULTINOMIAL.
+ *
+ * Returns the ratio of the factorial of a sum of values to the product of factorials.
+ *
+ * @param mixed[] $args An array of mixed values for the Data Series
+ *
+ * @return float|string The result, or a string containing an error
+ */
+ public static function MULTINOMIAL(...$args)
+ {
+ $summer = 0;
+ $divisor = 1;
+ // Loop through arguments
+ foreach (Functions::flattenArray($args) as $arg) {
+ // Is it a numeric value?
+ if (is_numeric($arg)) {
+ if ($arg < 1) {
+ return Functions::NAN();
+ }
+ $summer += floor($arg);
+ $divisor *= self::FACT($arg);
+ } else {
+ return Functions::VALUE();
+ }
+ }
+
+ // Return
+ if ($summer > 0) {
+ $summer = self::FACT($summer);
+
+ return $summer / $divisor;
+ }
+
+ return 0;
+ }
+
+ /**
+ * ODD.
+ *
+ * Returns number rounded up to the nearest odd integer.
+ *
+ * @param float $number Number to round
+ *
+ * @return int|string Rounded Number, or a string containing an error
+ */
+ public static function ODD($number)
+ {
+ $number = Functions::flattenSingleValue($number);
+
+ if ($number === null) {
+ return 1;
+ } elseif (is_bool($number)) {
+ return 1;
+ } elseif (is_numeric($number)) {
+ $significance = self::SIGN($number);
+ if ($significance == 0) {
+ return 1;
+ }
+
+ $result = self::CEILING($number, $significance);
+ if ($result == self::EVEN($result)) {
+ $result += $significance;
+ }
+
+ return (int) $result;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * POWER.
+ *
+ * Computes x raised to the power y.
+ *
+ * @param float $x
+ * @param float $y
+ *
+ * @return float|string The result, or a string containing an error
+ */
+ public static function POWER($x = 0, $y = 2)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $y = Functions::flattenSingleValue($y);
+
+ // Validate parameters
+ if ($x == 0.0 && $y == 0.0) {
+ return Functions::NAN();
+ } elseif ($x == 0.0 && $y < 0.0) {
+ return Functions::DIV0();
+ }
+
+ // Return
+ $result = $x ** $y;
+
+ return (!is_nan($result) && !is_infinite($result)) ? $result : Functions::NAN();
+ }
+
+ /**
+ * PRODUCT.
+ *
+ * PRODUCT returns the product of all the values and cells referenced in the argument list.
+ *
+ * Excel Function:
+ * PRODUCT(value1[,value2[, ...]])
+ *
+ * @param mixed ...$args Data values
+ *
+ * @return float
+ */
+ public static function PRODUCT(...$args)
+ {
+ // Return value
+ $returnValue = null;
+
+ // Loop through arguments
+ foreach (Functions::flattenArray($args) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ if ($returnValue === null) {
+ $returnValue = $arg;
+ } else {
+ $returnValue *= $arg;
+ }
+ }
+ }
+
+ // Return
+ if ($returnValue === null) {
+ return 0;
+ }
+
+ return $returnValue;
+ }
+
+ /**
+ * QUOTIENT.
+ *
+ * QUOTIENT function returns the integer portion of a division. Numerator is the divided number
+ * and denominator is the divisor.
+ *
+ * Excel Function:
+ * QUOTIENT(value1[,value2[, ...]])
+ *
+ * @param mixed ...$args Data values
+ *
+ * @return float
+ */
+ public static function QUOTIENT(...$args)
+ {
+ // Return value
+ $returnValue = null;
+
+ // Loop through arguments
+ foreach (Functions::flattenArray($args) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ if ($returnValue === null) {
+ $returnValue = ($arg == 0) ? 0 : $arg;
+ } else {
+ if (($returnValue == 0) || ($arg == 0)) {
+ $returnValue = 0;
+ } else {
+ $returnValue /= $arg;
+ }
+ }
+ }
+ }
+
+ // Return
+ return (int) $returnValue;
+ }
+
+ /**
+ * RAND.
+ *
+ * @param int $min Minimal value
+ * @param int $max Maximal value
+ *
+ * @return int Random number
+ */
+ public static function RAND($min = 0, $max = 0)
+ {
+ $min = Functions::flattenSingleValue($min);
+ $max = Functions::flattenSingleValue($max);
+
+ if ($min == 0 && $max == 0) {
+ return (mt_rand(0, 10000000)) / 10000000;
+ }
+
+ return mt_rand($min, $max);
+ }
+
+ public static function ROMAN($aValue, $style = 0)
+ {
+ $aValue = Functions::flattenSingleValue($aValue);
+ $style = ($style === null) ? 0 : (int) Functions::flattenSingleValue($style);
+ if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) {
+ return Functions::VALUE();
+ }
+ $aValue = (int) $aValue;
+ if ($aValue == 0) {
+ return '';
+ }
+
+ $mill = ['', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM'];
+ $cent = ['', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM'];
+ $tens = ['', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC'];
+ $ones = ['', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX'];
+
+ $roman = '';
+ while ($aValue > 5999) {
+ $roman .= 'M';
+ $aValue -= 1000;
+ }
+ $m = self::romanCut($aValue, 1000);
+ $aValue %= 1000;
+ $c = self::romanCut($aValue, 100);
+ $aValue %= 100;
+ $t = self::romanCut($aValue, 10);
+ $aValue %= 10;
+
+ return $roman . $mill[$m] . $cent[$c] . $tens[$t] . $ones[$aValue];
+ }
+
+ /**
+ * ROUNDUP.
+ *
+ * Rounds a number up to a specified number of decimal places
+ *
+ * @param float $number Number to round
+ * @param int $digits Number of digits to which you want to round $number
+ *
+ * @return float|string Rounded Number, or a string containing an error
+ */
+ public static function ROUNDUP($number, $digits)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $digits = Functions::flattenSingleValue($digits);
+
+ if ((is_numeric($number)) && (is_numeric($digits))) {
+ if ($number < 0.0) {
+ return round($number - 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_DOWN);
+ }
+
+ return round($number + 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_DOWN);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * ROUNDDOWN.
+ *
+ * Rounds a number down to a specified number of decimal places
+ *
+ * @param float $number Number to round
+ * @param int $digits Number of digits to which you want to round $number
+ *
+ * @return float|string Rounded Number, or a string containing an error
+ */
+ public static function ROUNDDOWN($number, $digits)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $digits = Functions::flattenSingleValue($digits);
+
+ if ((is_numeric($number)) && (is_numeric($digits))) {
+ if ($number < 0.0) {
+ return round($number + 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_UP);
+ }
+
+ return round($number - 0.5 * 0.1 ** $digits, $digits, PHP_ROUND_HALF_UP);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * SERIESSUM.
+ *
+ * Returns the sum of a power series
+ *
+ * @param mixed[] $args An array of mixed values for the Data Series
+ *
+ * @return float|string The result, or a string containing an error
+ */
+ public static function SERIESSUM(...$args)
+ {
+ $returnValue = 0;
+
+ // Loop through arguments
+ $aArgs = Functions::flattenArray($args);
+
+ $x = array_shift($aArgs);
+ $n = array_shift($aArgs);
+ $m = array_shift($aArgs);
+
+ if ((is_numeric($x)) && (is_numeric($n)) && (is_numeric($m))) {
+ // Calculate
+ $i = 0;
+ foreach ($aArgs as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ $returnValue += $arg * $x ** ($n + ($m * $i++));
+ } else {
+ return Functions::VALUE();
+ }
+ }
+
+ return $returnValue;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * SIGN.
+ *
+ * Determines the sign of a number. Returns 1 if the number is positive, zero (0)
+ * if the number is 0, and -1 if the number is negative.
+ *
+ * @param float $number Number to round
+ *
+ * @return int|string sign value, or a string containing an error
+ */
+ public static function SIGN($number)
+ {
+ $number = Functions::flattenSingleValue($number);
+
+ if (is_bool($number)) {
+ return (int) $number;
+ }
+ if (is_numeric($number)) {
+ if ($number == 0.0) {
+ return 0;
+ }
+
+ return $number / abs($number);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * SQRTPI.
+ *
+ * Returns the square root of (number * pi).
+ *
+ * @param float $number Number
+ *
+ * @return float|string Square Root of Number * Pi, or a string containing an error
+ */
+ public static function SQRTPI($number)
+ {
+ $number = Functions::flattenSingleValue($number);
+
+ if (is_numeric($number)) {
+ if ($number < 0) {
+ return Functions::NAN();
+ }
+
+ return sqrt($number * M_PI);
+ }
+
+ return Functions::VALUE();
+ }
+
+ protected static function filterHiddenArgs($cellReference, $args)
+ {
+ return array_filter(
+ $args,
+ function ($index) use ($cellReference) {
+ [, $row, $column] = explode('.', $index);
+
+ return $cellReference->getWorksheet()->getRowDimension($row)->getVisible() &&
+ $cellReference->getWorksheet()->getColumnDimension($column)->getVisible();
+ },
+ ARRAY_FILTER_USE_KEY
+ );
+ }
+
+ protected static function filterFormulaArgs($cellReference, $args)
+ {
+ return array_filter(
+ $args,
+ function ($index) use ($cellReference) {
+ [, $row, $column] = explode('.', $index);
+ if ($cellReference->getWorksheet()->cellExists($column . $row)) {
+ //take this cell out if it contains the SUBTOTAL or AGGREGATE functions in a formula
+ $isFormula = $cellReference->getWorksheet()->getCell($column . $row)->isFormula();
+ $cellFormula = !preg_match('/^=.*\b(SUBTOTAL|AGGREGATE)\s*\(/i', $cellReference->getWorksheet()->getCell($column . $row)->getValue());
+
+ return !$isFormula || $cellFormula;
+ }
+
+ return true;
+ },
+ ARRAY_FILTER_USE_KEY
+ );
+ }
+
+ /**
+ * SUBTOTAL.
+ *
+ * Returns a subtotal in a list or database.
+ *
+ * @param int $functionType
+ * A number 1 to 11 that specifies which function to
+ * use in calculating subtotals within a range
+ * list
+ * Numbers 101 to 111 shadow the functions of 1 to 11
+ * but ignore any values in the range that are
+ * in hidden rows or columns
+ * @param mixed[] $args A mixed data series of values
+ *
+ * @return float|string
+ */
+ public static function SUBTOTAL($functionType, ...$args)
+ {
+ $cellReference = array_pop($args);
+ $aArgs = Functions::flattenArrayIndexed($args);
+ $subtotal = Functions::flattenSingleValue($functionType);
+
+ // Calculate
+ if ((is_numeric($subtotal)) && (!is_string($subtotal))) {
+ if ($subtotal > 100) {
+ $aArgs = self::filterHiddenArgs($cellReference, $aArgs);
+ $subtotal -= 100;
+ }
+
+ $aArgs = self::filterFormulaArgs($cellReference, $aArgs);
+ switch ($subtotal) {
+ case 1:
+ return Statistical::AVERAGE($aArgs);
+ case 2:
+ return Statistical::COUNT($aArgs);
+ case 3:
+ return Statistical::COUNTA($aArgs);
+ case 4:
+ return Statistical::MAX($aArgs);
+ case 5:
+ return Statistical::MIN($aArgs);
+ case 6:
+ return self::PRODUCT($aArgs);
+ case 7:
+ return Statistical::STDEV($aArgs);
+ case 8:
+ return Statistical::STDEVP($aArgs);
+ case 9:
+ return self::SUM($aArgs);
+ case 10:
+ return Statistical::VARFunc($aArgs);
+ case 11:
+ return Statistical::VARP($aArgs);
+ }
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * SUM.
+ *
+ * SUM computes the sum of all the values and cells referenced in the argument list.
+ *
+ * Excel Function:
+ * SUM(value1[,value2[, ...]])
+ *
+ * @param mixed ...$args Data values
+ *
+ * @return float
+ */
+ public static function SUM(...$args)
+ {
+ $returnValue = 0;
+
+ // Loop through the arguments
+ foreach (Functions::flattenArray($args) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ $returnValue += $arg;
+ } elseif (Functions::isError($arg)) {
+ return $arg;
+ }
+ }
+
+ return $returnValue;
+ }
+
+ /**
+ * SUMIF.
+ *
+ * Counts the number of cells that contain numbers within the list of arguments
+ *
+ * Excel Function:
+ * SUMIF(value1[,value2[, ...]],condition)
+ *
+ * @param mixed $aArgs Data values
+ * @param string $condition the criteria that defines which cells will be summed
+ * @param mixed $sumArgs
+ *
+ * @return float
+ */
+ public static function SUMIF($aArgs, $condition, $sumArgs = [])
+ {
+ $returnValue = 0;
+
+ $aArgs = Functions::flattenArray($aArgs);
+ $sumArgs = Functions::flattenArray($sumArgs);
+ if (empty($sumArgs)) {
+ $sumArgs = $aArgs;
+ }
+ $condition = Functions::ifCondition($condition);
+ // Loop through arguments
+ foreach ($aArgs as $key => $arg) {
+ if (!is_numeric($arg)) {
+ $arg = str_replace('"', '""', $arg);
+ $arg = Calculation::wrapResult(strtoupper($arg));
+ }
+
+ $testCondition = '=' . $arg . $condition;
+ $sumValue = array_key_exists($key, $sumArgs) ? $sumArgs[$key] : 0;
+
+ if (
+ is_numeric($sumValue) &&
+ Calculation::getInstance()->_calculateFormulaValue($testCondition)
+ ) {
+ // Is it a value within our criteria and only numeric can be added to the result
+ $returnValue += $sumValue;
+ }
+ }
+
+ return $returnValue;
+ }
+
+ /**
+ * SUMIFS.
+ *
+ * Counts the number of cells that contain numbers within the list of arguments
+ *
+ * Excel Function:
+ * SUMIFS(value1[,value2[, ...]],condition)
+ *
+ * @param mixed $args Data values
+ *
+ * @return float
+ */
+ public static function SUMIFS(...$args)
+ {
+ $arrayList = $args;
+
+ // Return value
+ $returnValue = 0;
+
+ $sumArgs = Functions::flattenArray(array_shift($arrayList));
+ $aArgsArray = [];
+ $conditions = [];
+
+ while (count($arrayList) > 0) {
+ $aArgsArray[] = Functions::flattenArray(array_shift($arrayList));
+ $conditions[] = Functions::ifCondition(array_shift($arrayList));
+ }
+
+ // Loop through each sum and see if arguments and conditions are true
+ foreach ($sumArgs as $index => $value) {
+ $valid = true;
+
+ foreach ($conditions as $cidx => $condition) {
+ $arg = $aArgsArray[$cidx][$index];
+
+ // Loop through arguments
+ if (!is_numeric($arg)) {
+ $arg = Calculation::wrapResult(strtoupper($arg));
+ }
+ $testCondition = '=' . $arg . $condition;
+ if (!Calculation::getInstance()->_calculateFormulaValue($testCondition)) {
+ // Is not a value within our criteria
+ $valid = false;
+
+ break; // if false found, don't need to check other conditions
+ }
+ }
+
+ if ($valid) {
+ $returnValue += $value;
+ }
+ }
+
+ // Return
+ return $returnValue;
+ }
+
+ /**
+ * SUMPRODUCT.
+ *
+ * Excel Function:
+ * SUMPRODUCT(value1[,value2[, ...]])
+ *
+ * @param mixed ...$args Data values
+ *
+ * @return float|string The result, or a string containing an error
+ */
+ public static function SUMPRODUCT(...$args)
+ {
+ $arrayList = $args;
+
+ $wrkArray = Functions::flattenArray(array_shift($arrayList));
+ $wrkCellCount = count($wrkArray);
+
+ for ($i = 0; $i < $wrkCellCount; ++$i) {
+ if ((!is_numeric($wrkArray[$i])) || (is_string($wrkArray[$i]))) {
+ $wrkArray[$i] = 0;
+ }
+ }
+
+ foreach ($arrayList as $matrixData) {
+ $array2 = Functions::flattenArray($matrixData);
+ $count = count($array2);
+ if ($wrkCellCount != $count) {
+ return Functions::VALUE();
+ }
+
+ foreach ($array2 as $i => $val) {
+ if ((!is_numeric($val)) || (is_string($val))) {
+ $val = 0;
+ }
+ $wrkArray[$i] *= $val;
+ }
+ }
+
+ return array_sum($wrkArray);
+ }
+
+ /**
+ * SUMSQ.
+ *
+ * SUMSQ returns the sum of the squares of the arguments
+ *
+ * Excel Function:
+ * SUMSQ(value1[,value2[, ...]])
+ *
+ * @param mixed ...$args Data values
+ *
+ * @return float
+ */
+ public static function SUMSQ(...$args)
+ {
+ $returnValue = 0;
+
+ // Loop through arguments
+ foreach (Functions::flattenArray($args) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ $returnValue += ($arg * $arg);
+ }
+ }
+
+ return $returnValue;
+ }
+
+ /**
+ * SUMX2MY2.
+ *
+ * @param mixed[] $matrixData1 Matrix #1
+ * @param mixed[] $matrixData2 Matrix #2
+ *
+ * @return float
+ */
+ public static function SUMX2MY2($matrixData1, $matrixData2)
+ {
+ $array1 = Functions::flattenArray($matrixData1);
+ $array2 = Functions::flattenArray($matrixData2);
+ $count = min(count($array1), count($array2));
+
+ $result = 0;
+ for ($i = 0; $i < $count; ++$i) {
+ if (
+ ((is_numeric($array1[$i])) && (!is_string($array1[$i]))) &&
+ ((is_numeric($array2[$i])) && (!is_string($array2[$i])))
+ ) {
+ $result += ($array1[$i] * $array1[$i]) - ($array2[$i] * $array2[$i]);
+ }
+ }
+
+ return $result;
+ }
+
+ /**
+ * SUMX2PY2.
+ *
+ * @param mixed[] $matrixData1 Matrix #1
+ * @param mixed[] $matrixData2 Matrix #2
+ *
+ * @return float
+ */
+ public static function SUMX2PY2($matrixData1, $matrixData2)
+ {
+ $array1 = Functions::flattenArray($matrixData1);
+ $array2 = Functions::flattenArray($matrixData2);
+ $count = min(count($array1), count($array2));
+
+ $result = 0;
+ for ($i = 0; $i < $count; ++$i) {
+ if (
+ ((is_numeric($array1[$i])) && (!is_string($array1[$i]))) &&
+ ((is_numeric($array2[$i])) && (!is_string($array2[$i])))
+ ) {
+ $result += ($array1[$i] * $array1[$i]) + ($array2[$i] * $array2[$i]);
+ }
+ }
+
+ return $result;
+ }
+
+ /**
+ * SUMXMY2.
+ *
+ * @param mixed[] $matrixData1 Matrix #1
+ * @param mixed[] $matrixData2 Matrix #2
+ *
+ * @return float
+ */
+ public static function SUMXMY2($matrixData1, $matrixData2)
+ {
+ $array1 = Functions::flattenArray($matrixData1);
+ $array2 = Functions::flattenArray($matrixData2);
+ $count = min(count($array1), count($array2));
+
+ $result = 0;
+ for ($i = 0; $i < $count; ++$i) {
+ if (
+ ((is_numeric($array1[$i])) && (!is_string($array1[$i]))) &&
+ ((is_numeric($array2[$i])) && (!is_string($array2[$i])))
+ ) {
+ $result += ($array1[$i] - $array2[$i]) * ($array1[$i] - $array2[$i]);
+ }
+ }
+
+ return $result;
+ }
+
+ /**
+ * TRUNC.
+ *
+ * Truncates value to the number of fractional digits by number_digits.
+ *
+ * @param float $value
+ * @param int $digits
+ *
+ * @return float|string Truncated value, or a string containing an error
+ */
+ public static function TRUNC($value = 0, $digits = 0)
+ {
+ $value = Functions::flattenSingleValue($value);
+ $digits = Functions::flattenSingleValue($digits);
+
+ // Validate parameters
+ if ((!is_numeric($value)) || (!is_numeric($digits))) {
+ return Functions::VALUE();
+ }
+ $digits = floor($digits);
+
+ // Truncate
+ $adjust = 10 ** $digits;
+
+ if (($digits > 0) && (rtrim((int) ((abs($value) - abs((int) $value)) * $adjust), '0') < $adjust / 10)) {
+ return $value;
+ }
+
+ return ((int) ($value * $adjust)) / $adjust;
+ }
+
+ /**
+ * SEC.
+ *
+ * Returns the secant of an angle.
+ *
+ * @param float $angle Number
+ *
+ * @return float|string The secant of the angle
+ */
+ public static function SEC($angle)
+ {
+ $angle = Functions::flattenSingleValue($angle);
+
+ if (!is_numeric($angle)) {
+ return Functions::VALUE();
+ }
+
+ $result = cos($angle);
+
+ return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
+ }
+
+ /**
+ * SECH.
+ *
+ * Returns the hyperbolic secant of an angle.
+ *
+ * @param float $angle Number
+ *
+ * @return float|string The hyperbolic secant of the angle
+ */
+ public static function SECH($angle)
+ {
+ $angle = Functions::flattenSingleValue($angle);
+
+ if (!is_numeric($angle)) {
+ return Functions::VALUE();
+ }
+
+ $result = cosh($angle);
+
+ return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
+ }
+
+ /**
+ * CSC.
+ *
+ * Returns the cosecant of an angle.
+ *
+ * @param float $angle Number
+ *
+ * @return float|string The cosecant of the angle
+ */
+ public static function CSC($angle)
+ {
+ $angle = Functions::flattenSingleValue($angle);
+
+ if (!is_numeric($angle)) {
+ return Functions::VALUE();
+ }
+
+ $result = sin($angle);
+
+ return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
+ }
+
+ /**
+ * CSCH.
+ *
+ * Returns the hyperbolic cosecant of an angle.
+ *
+ * @param float $angle Number
+ *
+ * @return float|string The hyperbolic cosecant of the angle
+ */
+ public static function CSCH($angle)
+ {
+ $angle = Functions::flattenSingleValue($angle);
+
+ if (!is_numeric($angle)) {
+ return Functions::VALUE();
+ }
+
+ $result = sinh($angle);
+
+ return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
+ }
+
+ /**
+ * COT.
+ *
+ * Returns the cotangent of an angle.
+ *
+ * @param float $angle Number
+ *
+ * @return float|string The cotangent of the angle
+ */
+ public static function COT($angle)
+ {
+ $angle = Functions::flattenSingleValue($angle);
+
+ if (!is_numeric($angle)) {
+ return Functions::VALUE();
+ }
+
+ $result = tan($angle);
+
+ return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
+ }
+
+ /**
+ * COTH.
+ *
+ * Returns the hyperbolic cotangent of an angle.
+ *
+ * @param float $angle Number
+ *
+ * @return float|string The hyperbolic cotangent of the angle
+ */
+ public static function COTH($angle)
+ {
+ $angle = Functions::flattenSingleValue($angle);
+
+ if (!is_numeric($angle)) {
+ return Functions::VALUE();
+ }
+
+ $result = tanh($angle);
+
+ return ($result == 0.0) ? Functions::DIV0() : 1 / $result;
+ }
+
+ /**
+ * ACOT.
+ *
+ * Returns the arccotangent of a number.
+ *
+ * @param float $number Number
+ *
+ * @return float|string The arccotangent of the number
+ */
+ public static function ACOT($number)
+ {
+ $number = Functions::flattenSingleValue($number);
+
+ if (!is_numeric($number)) {
+ return Functions::VALUE();
+ }
+
+ return (M_PI / 2) - atan($number);
+ }
+
+ /**
+ * ACOTH.
+ *
+ * Returns the hyperbolic arccotangent of a number.
+ *
+ * @param float $number Number
+ *
+ * @return float|string The hyperbolic arccotangent of the number
+ */
+ public static function ACOTH($number)
+ {
+ $number = Functions::flattenSingleValue($number);
+
+ if (!is_numeric($number)) {
+ return Functions::VALUE();
+ }
+
+ $result = log(($number + 1) / ($number - 1)) / 2;
+
+ return is_nan($result) ? Functions::NAN() : $result;
+ }
+}
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