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| author | Anton Luka Å ijanec <anton@sijanec.eu> | 2022-01-11 12:35:47 +0100 |
|---|---|---|
| committer | Anton Luka Å ijanec <anton@sijanec.eu> | 2022-01-11 12:35:47 +0100 |
| commit | 19985dbb8c0aa66dc4bf7905abc1148de909097d (patch) | |
| tree | 2cd5a5d20d7e80fc2a51adf60d838d8a2c40999e /admin/survey/excel/PHPExcel/Calculation/MathTrig.php | |
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Diffstat (limited to '')
| -rw-r--r-- | admin/survey/excel/PHPExcel/Calculation/MathTrig.php | 1366 |
1 files changed, 1366 insertions, 0 deletions
diff --git a/admin/survey/excel/PHPExcel/Calculation/MathTrig.php b/admin/survey/excel/PHPExcel/Calculation/MathTrig.php new file mode 100644 index 0000000..614e4f1 --- /dev/null +++ b/admin/survey/excel/PHPExcel/Calculation/MathTrig.php @@ -0,0 +1,1366 @@ +<?php
+/**
+ * PHPExcel
+ *
+ * Copyright (c) 2006 - 2012 PHPExcel
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ *
+ * @category PHPExcel
+ * @package PHPExcel_Calculation
+ * @copyright Copyright (c) 2006 - 2012 PHPExcel (http://www.codeplex.com/PHPExcel)
+ * @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
+ * @version 1.7.8, 2012-10-12
+ */
+
+
+/** PHPExcel root directory */
+if (!defined('PHPEXCEL_ROOT')) {
+ /**
+ * @ignore
+ */
+ define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../');
+ require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');
+}
+
+
+/**
+ * PHPExcel_Calculation_MathTrig
+ *
+ * @category PHPExcel
+ * @package PHPExcel_Calculation
+ * @copyright Copyright (c) 2006 - 2012 PHPExcel (http://www.codeplex.com/PHPExcel)
+ */
+class PHPExcel_Calculation_MathTrig {
+
+ //
+ // Private method to return an array of the factors of the input value
+ //
+ private static function _factors($value) {
+ $startVal = floor(sqrt($value));
+
+ $factorArray = array();
+ for ($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;
+ } else {
+ return array((integer) $value);
+ }
+ } // function _factors()
+
+
+ private static function _romanCut($num, $n) {
+ return ($num - ($num % $n ) ) / $n;
+ } // function _romanCut()
+
+
+ /**
+ * ATAN2
+ *
+ * This function calculates the arc tangent of the two variables x and y. It is similar to
+ * calculating the arc tangent of y ÷ 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)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $xCoordinate The x-coordinate of the point.
+ * @param float $yCoordinate The y-coordinate of the point.
+ * @return float The inverse tangent of the specified x- and y-coordinates.
+ */
+ public static function ATAN2($xCoordinate = NULL, $yCoordinate = NULL) {
+ $xCoordinate = PHPExcel_Calculation_Functions::flattenSingleValue($xCoordinate);
+ $yCoordinate = PHPExcel_Calculation_Functions::flattenSingleValue($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) && ($yCoordinate == 0)) {
+ return PHPExcel_Calculation_Functions::DIV0();
+ }
+
+ return atan2($yCoordinate, $xCoordinate);
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function ATAN2()
+
+
+ /**
+ * 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])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $number The number you want to round.
+ * @param float $significance The multiple to which you want to round.
+ * @return float Rounded Number
+ */
+ public static function CEILING($number, $significance = NULL) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+ $significance = PHPExcel_Calculation_Functions::flattenSingleValue($significance);
+
+ if ((is_null($significance)) &&
+ (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC)) {
+ $significance = $number/abs($number);
+ }
+
+ if ((is_numeric($number)) && (is_numeric($significance))) {
+ if ($significance == 0.0) {
+ return 0.0;
+ } elseif (self::SIGN($number) == self::SIGN($significance)) {
+ return ceil($number / $significance) * $significance;
+ } else {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function CEILING()
+
+
+ /**
+ * 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)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param int $numObjs Number of different objects
+ * @param int $numInSet Number of objects in each combination
+ * @return int Number of combinations
+ */
+ public static function COMBIN($numObjs, $numInSet) {
+ $numObjs = PHPExcel_Calculation_Functions::flattenSingleValue($numObjs);
+ $numInSet = PHPExcel_Calculation_Functions::flattenSingleValue($numInSet);
+
+ if ((is_numeric($numObjs)) && (is_numeric($numInSet))) {
+ if ($numObjs < $numInSet) {
+ return PHPExcel_Calculation_Functions::NaN();
+ } elseif ($numInSet < 0) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ return round(self::FACT($numObjs) / self::FACT($numObjs - $numInSet)) / self::FACT($numInSet);
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function COMBIN()
+
+
+ /**
+ * 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)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $number Number to round
+ * @return int Rounded Number
+ */
+ public static function EVEN($number) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+
+ if (is_null($number)) {
+ return 0;
+ } elseif (is_bool($number)) {
+ $number = (int) $number;
+ }
+
+ if (is_numeric($number)) {
+ $significance = 2 * self::SIGN($number);
+ return (int) self::CEILING($number,$significance);
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function EVEN()
+
+
+ /**
+ * FACT
+ *
+ * Returns the factorial of a number.
+ * The factorial of a number is equal to 1*2*3*...* number.
+ *
+ * Excel Function:
+ * FACT(factVal)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $factVal Factorial Value
+ * @return int Factorial
+ */
+ public static function FACT($factVal) {
+ $factVal = PHPExcel_Calculation_Functions::flattenSingleValue($factVal);
+
+ if (is_numeric($factVal)) {
+ if ($factVal < 0) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ $factLoop = floor($factVal);
+ if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
+ if ($factVal > $factLoop) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ }
+
+ $factorial = 1;
+ while ($factLoop > 1) {
+ $factorial *= $factLoop--;
+ }
+ return $factorial ;
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function FACT()
+
+
+ /**
+ * FACTDOUBLE
+ *
+ * Returns the double factorial of a number.
+ *
+ * Excel Function:
+ * FACTDOUBLE(factVal)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $factVal Factorial Value
+ * @return int Double Factorial
+ */
+ public static function FACTDOUBLE($factVal) {
+ $factLoop = PHPExcel_Calculation_Functions::flattenSingleValue($factVal);
+
+ if (is_numeric($factLoop)) {
+ $factLoop = floor($factLoop);
+ if ($factVal < 0) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ $factorial = 1;
+ while ($factLoop > 1) {
+ $factorial *= $factLoop--;
+ --$factLoop;
+ }
+ return $factorial ;
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function FACTDOUBLE()
+
+
+ /**
+ * FLOOR
+ *
+ * Rounds number down, toward zero, to the nearest multiple of significance.
+ *
+ * Excel Function:
+ * FLOOR(number[,significance])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $number Number to round
+ * @param float $significance Significance
+ * @return float Rounded Number
+ */
+ public static function FLOOR($number, $significance = NULL) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+ $significance = PHPExcel_Calculation_Functions::flattenSingleValue($significance);
+
+ if ((is_null($significance)) && (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC)) {
+ $significance = $number/abs($number);
+ }
+
+ if ((is_numeric($number)) && (is_numeric($significance))) {
+ if ((float) $significance == 0.0) {
+ return PHPExcel_Calculation_Functions::DIV0();
+ }
+ if (self::SIGN($number) == self::SIGN($significance)) {
+ return floor($number / $significance) * $significance;
+ } else {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function FLOOR()
+
+
+ /**
+ * 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[, ...]])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @return integer Greatest Common Divisor
+ */
+ public static function GCD() {
+ $returnValue = 1;
+ $allValuesFactors = array();
+ // Loop through arguments
+ foreach(PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $value) {
+ if (!is_numeric($value)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ } elseif ($value == 0) {
+ continue;
+ } elseif($value < 0) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ $myFactors = self::_factors($value);
+ $myCountedFactors = array_count_values($myFactors);
+ $allValuesFactors[] = $myCountedFactors;
+ }
+ $allValuesCount = count($allValuesFactors);
+ if ($allValuesCount == 0) {
+ return 0;
+ }
+
+ $mergedArray = $allValuesFactors[0];
+ for ($i=1;$i < $allValuesCount; ++$i) {
+ $mergedArray = array_intersect_key($mergedArray,$allValuesFactors[$i]);
+ }
+ $mergedArrayValues = count($mergedArray);
+ if ($mergedArrayValues == 0) {
+ return $returnValue;
+ } elseif ($mergedArrayValues > 1) {
+ foreach($mergedArray as $mergedKey => $mergedValue) {
+ foreach($allValuesFactors as $highestPowerTest) {
+ foreach($highestPowerTest as $testKey => $testValue) {
+ if (($testKey == $mergedKey) && ($testValue < $mergedValue)) {
+ $mergedArray[$mergedKey] = $testValue;
+ $mergedValue = $testValue;
+ }
+ }
+ }
+ }
+
+ $returnValue = 1;
+ foreach($mergedArray as $key => $value) {
+ $returnValue *= pow($key,$value);
+ }
+ return $returnValue;
+ } else {
+ $keys = array_keys($mergedArray);
+ $key = $keys[0];
+ $value = $mergedArray[$key];
+ foreach($allValuesFactors as $testValue) {
+ foreach($testValue as $mergedKey => $mergedValue) {
+ if (($mergedKey == $key) && ($mergedValue < $value)) {
+ $value = $mergedValue;
+ }
+ }
+ }
+ return pow($key,$value);
+ }
+ } // function GCD()
+
+
+ /**
+ * INT
+ *
+ * Casts a floating point value to an integer
+ *
+ * Excel Function:
+ * INT(number)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $number Number to cast to an integer
+ * @return integer Integer value
+ */
+ public static function INT($number) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+
+ if (is_null($number)) {
+ return 0;
+ } elseif (is_bool($number)) {
+ return (int) $number;
+ }
+ if (is_numeric($number)) {
+ return (int) floor($number);
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function INT()
+
+
+ /**
+ * 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[, ...]])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @return int Lowest Common Multiplier
+ */
+ public static function LCM() {
+ $returnValue = 1;
+ $allPoweredFactors = array();
+ // Loop through arguments
+ foreach(PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $value) {
+ if (!is_numeric($value)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ if ($value == 0) {
+ return 0;
+ } elseif ($value < 0) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ $myFactors = self::_factors(floor($value));
+ $myCountedFactors = array_count_values($myFactors);
+ $myPoweredFactors = array();
+ foreach($myCountedFactors as $myCountedFactor => $myCountedPower) {
+ $myPoweredFactors[$myCountedFactor] = pow($myCountedFactor,$myCountedPower);
+ }
+ foreach($myPoweredFactors as $myPoweredValue => $myPoweredFactor) {
+ if (array_key_exists($myPoweredValue,$allPoweredFactors)) {
+ if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) {
+ $allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
+ }
+ } else {
+ $allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
+ }
+ }
+ }
+ foreach($allPoweredFactors as $allPoweredFactor) {
+ $returnValue *= (integer) $allPoweredFactor;
+ }
+ return $returnValue;
+ } // function LCM()
+
+
+ /**
+ * LOG_BASE
+ *
+ * Returns the logarithm of a number to a specified base. The default base is 10.
+ *
+ * Excel Function:
+ * LOG(number[,base])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param float $value The positive real number for which you want the logarithm
+ * @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10.
+ * @return float
+ */
+ public static function LOG_BASE($number = NULL, $base = 10) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+ $base = (is_null($base)) ? 10 : (float) PHPExcel_Calculation_Functions::flattenSingleValue($base);
+
+ if ((!is_numeric($base)) || (!is_numeric($number)))
+ return PHPExcel_Calculation_Functions::VALUE();
+ if (($base <= 0) || ($number <= 0))
+ return PHPExcel_Calculation_Functions::NaN();
+ return log($number, $base);
+ } // function LOG_BASE()
+
+
+ /**
+ * MDETERM
+ *
+ * Returns the matrix determinant of an array.
+ *
+ * Excel Function:
+ * MDETERM(array)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param array $matrixValues A matrix of values
+ * @return float
+ */
+ public static function MDETERM($matrixValues) {
+ $matrixData = array();
+ if (!is_array($matrixValues)) { $matrixValues = array(array($matrixValues)); }
+
+ $row = $maxColumn = 0;
+ foreach($matrixValues as $matrixRow) {
+ if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }
+ $column = 0;
+ foreach($matrixRow as $matrixCell) {
+ if ((is_string($matrixCell)) || ($matrixCell === null)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ $matrixData[$column][$row] = $matrixCell;
+ ++$column;
+ }
+ if ($column > $maxColumn) { $maxColumn = $column; }
+ ++$row;
+ }
+ if ($row != $maxColumn) { return PHPExcel_Calculation_Functions::VALUE(); }
+
+ try {
+ $matrix = new PHPExcel_Shared_JAMA_Matrix($matrixData);
+ return $matrix->det();
+ } catch (Exception $ex) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ } // function MDETERM()
+
+
+ /**
+ * MINVERSE
+ *
+ * Returns the inverse matrix for the matrix stored in an array.
+ *
+ * Excel Function:
+ * MINVERSE(array)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param array $matrixValues A matrix of values
+ * @return array
+ */
+ public static function MINVERSE($matrixValues) {
+ $matrixData = array();
+ if (!is_array($matrixValues)) { $matrixValues = array(array($matrixValues)); }
+
+ $row = $maxColumn = 0;
+ foreach($matrixValues as $matrixRow) {
+ if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }
+ $column = 0;
+ foreach($matrixRow as $matrixCell) {
+ if ((is_string($matrixCell)) || ($matrixCell === null)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ $matrixData[$column][$row] = $matrixCell;
+ ++$column;
+ }
+ if ($column > $maxColumn) { $maxColumn = $column; }
+ ++$row;
+ }
+ if ($row != $maxColumn) { return PHPExcel_Calculation_Functions::VALUE(); }
+
+ try {
+ $matrix = new PHPExcel_Shared_JAMA_Matrix($matrixData);
+ return $matrix->inverse()->getArray();
+ } catch (Exception $ex) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ } // function MINVERSE()
+
+
+ /**
+ * MMULT
+ *
+ * @param array $matrixData1 A matrix of values
+ * @param array $matrixData2 A matrix of values
+ * @return array
+ */
+ public static function MMULT($matrixData1,$matrixData2) {
+ $matrixAData = $matrixBData = array();
+ if (!is_array($matrixData1)) { $matrixData1 = array(array($matrixData1)); }
+ if (!is_array($matrixData2)) { $matrixData2 = array(array($matrixData2)); }
+
+ $rowA = 0;
+ foreach($matrixData1 as $matrixRow) {
+ if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }
+ $columnA = 0;
+ foreach($matrixRow as $matrixCell) {
+ if ((is_string($matrixCell)) || ($matrixCell === null)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ $matrixAData[$rowA][$columnA] = $matrixCell;
+ ++$columnA;
+ }
+ ++$rowA;
+ }
+ try {
+ $matrixA = new PHPExcel_Shared_JAMA_Matrix($matrixAData);
+ $rowB = 0;
+ foreach($matrixData2 as $matrixRow) {
+ if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); }
+ $columnB = 0;
+ foreach($matrixRow as $matrixCell) {
+ if ((is_string($matrixCell)) || ($matrixCell === null)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ $matrixBData[$rowB][$columnB] = $matrixCell;
+ ++$columnB;
+ }
+ ++$rowB;
+ }
+ $matrixB = new PHPExcel_Shared_JAMA_Matrix($matrixBData);
+
+ if (($rowA != $columnB) || ($rowB != $columnA)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+
+ return $matrixA->times($matrixB)->getArray();
+ } catch (Exception $ex) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ } // function MMULT()
+
+
+ /**
+ * MOD
+ *
+ * @param int $a Dividend
+ * @param int $b Divisor
+ * @return int Remainder
+ */
+ public static function MOD($a = 1, $b = 1) {
+ $a = PHPExcel_Calculation_Functions::flattenSingleValue($a);
+ $b = PHPExcel_Calculation_Functions::flattenSingleValue($b);
+
+ if ($b == 0.0) {
+ return PHPExcel_Calculation_Functions::DIV0();
+ } elseif (($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);
+ } // function MOD()
+
+
+ /**
+ * 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 $number
+ * @return float Rounded Number
+ */
+ public static function MROUND($number,$multiple) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+ $multiple = PHPExcel_Calculation_Functions::flattenSingleValue($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 PHPExcel_Calculation_Functions::NaN();
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function MROUND()
+
+
+ /**
+ * MULTINOMIAL
+ *
+ * Returns the ratio of the factorial of a sum of values to the product of factorials.
+ *
+ * @param array of mixed Data Series
+ * @return float
+ */
+ public static function MULTINOMIAL() {
+ $summer = 0;
+ $divisor = 1;
+ // Loop through arguments
+ foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {
+ // Is it a numeric value?
+ if (is_numeric($arg)) {
+ if ($arg < 1) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ $summer += floor($arg);
+ $divisor *= self::FACT($arg);
+ } else {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ }
+
+ // Return
+ if ($summer > 0) {
+ $summer = self::FACT($summer);
+ return $summer / $divisor;
+ }
+ return 0;
+ } // function MULTINOMIAL()
+
+
+ /**
+ * ODD
+ *
+ * Returns number rounded up to the nearest odd integer.
+ *
+ * @param float $number Number to round
+ * @return int Rounded Number
+ */
+ public static function ODD($number) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+
+ if (is_null($number)) {
+ return 1;
+ } elseif (is_bool($number)) {
+ $number = (int) $number;
+ }
+
+ if (is_numeric($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 PHPExcel_Calculation_Functions::VALUE();
+ } // function ODD()
+
+
+ /**
+ * POWER
+ *
+ * Computes x raised to the power y.
+ *
+ * @param float $x
+ * @param float $y
+ * @return float
+ */
+ public static function POWER($x = 0, $y = 2) {
+ $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
+ $y = PHPExcel_Calculation_Functions::flattenSingleValue($y);
+
+ // Validate parameters
+ if ($x == 0.0 && $y == 0.0) {
+ return PHPExcel_Calculation_Functions::NaN();
+ } elseif ($x == 0.0 && $y < 0.0) {
+ return PHPExcel_Calculation_Functions::DIV0();
+ }
+
+ // Return
+ $result = pow($x, $y);
+ return (!is_nan($result) && !is_infinite($result)) ? $result : PHPExcel_Calculation_Functions::NaN();
+ } // function POWER()
+
+
+ /**
+ * PRODUCT
+ *
+ * PRODUCT returns the product of all the values and cells referenced in the argument list.
+ *
+ * Excel Function:
+ * PRODUCT(value1[,value2[, ...]])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @return float
+ */
+ public static function PRODUCT() {
+ // Return value
+ $returnValue = null;
+
+ // Loop through arguments
+ foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ if (is_null($returnValue)) {
+ $returnValue = $arg;
+ } else {
+ $returnValue *= $arg;
+ }
+ }
+ }
+
+ // Return
+ if (is_null($returnValue)) {
+ return 0;
+ }
+ return $returnValue;
+ } // function PRODUCT()
+
+
+ /**
+ * 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[, ...]])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @return float
+ */
+ public static function QUOTIENT() {
+ // Return value
+ $returnValue = null;
+
+ // Loop through arguments
+ foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ if (is_null($returnValue)) {
+ $returnValue = ($arg == 0) ? 0 : $arg;
+ } else {
+ if (($returnValue == 0) || ($arg == 0)) {
+ $returnValue = 0;
+ } else {
+ $returnValue /= $arg;
+ }
+ }
+ }
+ }
+
+ // Return
+ return intval($returnValue);
+ } // function QUOTIENT()
+
+
+ /**
+ * RAND
+ *
+ * @param int $min Minimal value
+ * @param int $max Maximal value
+ * @return int Random number
+ */
+ public static function RAND($min = 0, $max = 0) {
+ $min = PHPExcel_Calculation_Functions::flattenSingleValue($min);
+ $max = PHPExcel_Calculation_Functions::flattenSingleValue($max);
+
+ if ($min == 0 && $max == 0) {
+ return (rand(0,10000000)) / 10000000;
+ } else {
+ return rand($min, $max);
+ }
+ } // function RAND()
+
+
+ public static function ROMAN($aValue, $style=0) {
+ $aValue = PHPExcel_Calculation_Functions::flattenSingleValue($aValue);
+ $style = (is_null($style)) ? 0 : (integer) PHPExcel_Calculation_Functions::flattenSingleValue($style);
+ if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ $aValue = (integer) $aValue;
+ if ($aValue == 0) {
+ return '';
+ }
+
+ $mill = Array('', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM');
+ $cent = Array('', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM');
+ $tens = Array('', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC');
+ $ones = Array('', '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];
+ } // function ROMAN()
+
+
+ /**
+ * 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 $number
+ * @return float Rounded Number
+ */
+ public static function ROUNDUP($number,$digits) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+ $digits = PHPExcel_Calculation_Functions::flattenSingleValue($digits);
+
+ if ((is_numeric($number)) && (is_numeric($digits))) {
+ $significance = pow(10,(int) $digits);
+ if ($number < 0.0) {
+ return floor($number * $significance) / $significance;
+ } else {
+ return ceil($number * $significance) / $significance;
+ }
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function ROUNDUP()
+
+
+ /**
+ * 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 $number
+ * @return float Rounded Number
+ */
+ public static function ROUNDDOWN($number,$digits) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+ $digits = PHPExcel_Calculation_Functions::flattenSingleValue($digits);
+
+ if ((is_numeric($number)) && (is_numeric($digits))) {
+ $significance = pow(10,(int) $digits);
+ if ($number < 0.0) {
+ return ceil($number * $significance) / $significance;
+ } else {
+ return floor($number * $significance) / $significance;
+ }
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function ROUNDDOWN()
+
+
+ /**
+ * SERIESSUM
+ *
+ * Returns the sum of a power series
+ *
+ * @param float $x Input value to the power series
+ * @param float $n Initial power to which you want to raise $x
+ * @param float $m Step by which to increase $n for each term in the series
+ * @param array of mixed Data Series
+ * @return float
+ */
+ public static function SERIESSUM() {
+ // Return value
+ $returnValue = 0;
+
+ // Loop through arguments
+ $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_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 += $arg * pow($x,$n + ($m * $i++));
+ } else {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+ }
+ // Return
+ return $returnValue;
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function SERIESSUM()
+
+
+ /**
+ * 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 $number Number to round
+ * @return int sign value
+ */
+ public static function SIGN($number) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+
+ if (is_bool($number))
+ return (int) $number;
+ if (is_numeric($number)) {
+ if ($number == 0.0) {
+ return 0;
+ }
+ return $number / abs($number);
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function SIGN()
+
+
+ /**
+ * SQRTPI
+ *
+ * Returns the square root of (number * pi).
+ *
+ * @param float $number Number
+ * @return float Square Root of Number * Pi
+ */
+ public static function SQRTPI($number) {
+ $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
+
+ if (is_numeric($number)) {
+ if ($number < 0) {
+ return PHPExcel_Calculation_Functions::NaN();
+ }
+ return sqrt($number * M_PI) ;
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function SQRTPI()
+
+
+ /**
+ * SUBTOTAL
+ *
+ * Returns a subtotal in a list or database.
+ *
+ * @param int the number 1 to 11 that specifies which function to
+ * use in calculating subtotals within a list.
+ * @param array of mixed Data Series
+ * @return float
+ */
+ public static function SUBTOTAL() {
+ $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
+
+ // Calculate
+ $subtotal = array_shift($aArgs);
+
+ if ((is_numeric($subtotal)) && (!is_string($subtotal))) {
+ switch($subtotal) {
+ case 1 :
+ return PHPExcel_Calculation_Statistical::AVERAGE($aArgs);
+ break;
+ case 2 :
+ return PHPExcel_Calculation_Statistical::COUNT($aArgs);
+ break;
+ case 3 :
+ return PHPExcel_Calculation_Statistical::COUNTA($aArgs);
+ break;
+ case 4 :
+ return PHPExcel_Calculation_Statistical::MAX($aArgs);
+ break;
+ case 5 :
+ return PHPExcel_Calculation_Statistical::MIN($aArgs);
+ break;
+ case 6 :
+ return self::PRODUCT($aArgs);
+ break;
+ case 7 :
+ return PHPExcel_Calculation_Statistical::STDEV($aArgs);
+ break;
+ case 8 :
+ return PHPExcel_Calculation_Statistical::STDEVP($aArgs);
+ break;
+ case 9 :
+ return self::SUM($aArgs);
+ break;
+ case 10 :
+ return PHPExcel_Calculation_Statistical::VARFunc($aArgs);
+ break;
+ case 11 :
+ return PHPExcel_Calculation_Statistical::VARP($aArgs);
+ break;
+ }
+ }
+ return PHPExcel_Calculation_Functions::VALUE();
+ } // function SUBTOTAL()
+
+
+ /**
+ * SUM
+ *
+ * SUM computes the sum of all the values and cells referenced in the argument list.
+ *
+ * Excel Function:
+ * SUM(value1[,value2[, ...]])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @return float
+ */
+ public static function SUM() {
+ // Return value
+ $returnValue = 0;
+
+ // Loop through the arguments
+ foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ $returnValue += $arg;
+ }
+ }
+
+ // Return
+ return $returnValue;
+ } // function SUM()
+
+
+ /**
+ * SUMIF
+ *
+ * Counts the number of cells that contain numbers within the list of arguments
+ *
+ * Excel Function:
+ * SUMIF(value1[,value2[, ...]],condition)
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @param string $condition The criteria that defines which cells will be summed.
+ * @return float
+ */
+ public static function SUMIF($aArgs,$condition,$sumArgs = array()) {
+ // Return value
+ $returnValue = 0;
+
+ $aArgs = PHPExcel_Calculation_Functions::flattenArray($aArgs);
+ $sumArgs = PHPExcel_Calculation_Functions::flattenArray($sumArgs);
+ if (empty($sumArgs)) {
+ $sumArgs = $aArgs;
+ }
+ $condition = PHPExcel_Calculation_Functions::_ifCondition($condition);
+ // Loop through arguments
+ foreach ($aArgs as $key => $arg) {
+ if (!is_numeric($arg)) { $arg = PHPExcel_Calculation::_wrapResult(strtoupper($arg)); }
+ $testCondition = '='.$arg.$condition;
+ if (PHPExcel_Calculation::getInstance()->_calculateFormulaValue($testCondition)) {
+ // Is it a value within our criteria
+ $returnValue += $sumArgs[$key];
+ }
+ }
+
+ // Return
+ return $returnValue;
+ } // function SUMIF()
+
+
+ /**
+ * SUMPRODUCT
+ *
+ * Excel Function:
+ * SUMPRODUCT(value1[,value2[, ...]])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @return float
+ */
+ public static function SUMPRODUCT() {
+ $arrayList = func_get_args();
+
+ $wrkArray = PHPExcel_Calculation_Functions::flattenArray(array_shift($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) {
+ $array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData);
+ $count = count($array2);
+ if ($wrkCellCount != $count) {
+ return PHPExcel_Calculation_Functions::VALUE();
+ }
+
+ foreach ($array2 as $i => $val) {
+ if ((!is_numeric($val)) || (is_string($val))) {
+ $val = 0;
+ }
+ $wrkArray[$i] *= $val;
+ }
+ }
+
+ return array_sum($wrkArray);
+ } // function SUMPRODUCT()
+
+
+ /**
+ * SUMSQ
+ *
+ * SUMSQ returns the sum of the squares of the arguments
+ *
+ * Excel Function:
+ * SUMSQ(value1[,value2[, ...]])
+ *
+ * @access public
+ * @category Mathematical and Trigonometric Functions
+ * @param mixed $arg,... Data values
+ * @return float
+ */
+ public static function SUMSQ() {
+ // Return value
+ $returnValue = 0;
+
+ // Loop through arguments
+ foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) {
+ // Is it a numeric value?
+ if ((is_numeric($arg)) && (!is_string($arg))) {
+ $returnValue += ($arg * $arg);
+ }
+ }
+
+ // Return
+ return $returnValue;
+ } // function SUMSQ()
+
+
+ /**
+ * SUMX2MY2
+ *
+ * @param mixed $value Value to check
+ * @return float
+ */
+ public static function SUMX2MY2($matrixData1,$matrixData2) {
+ $array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);
+ $array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);
+ $count1 = count($array1);
+ $count2 = count($array2);
+ if ($count1 < $count2) {
+ $count = $count1;
+ } else {
+ $count = $count2;
+ }
+
+ $result = 0;
+ for ($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;
+ } // function SUMX2MY2()
+
+
+ /**
+ * SUMX2PY2
+ *
+ * @param mixed $value Value to check
+ * @return float
+ */
+ public static function SUMX2PY2($matrixData1,$matrixData2) {
+ $array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);
+ $array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);
+ $count1 = count($array1);
+ $count2 = count($array2);
+ if ($count1 < $count2) {
+ $count = $count1;
+ } else {
+ $count = $count2;
+ }
+
+ $result = 0;
+ for ($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;
+ } // function SUMX2PY2()
+
+
+ /**
+ * SUMXMY2
+ *
+ * @param mixed $value Value to check
+ * @return float
+ */
+ public static function SUMXMY2($matrixData1,$matrixData2) {
+ $array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1);
+ $array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2);
+ $count1 = count($array1);
+ $count2 = count($array2);
+ if ($count1 < $count2) {
+ $count = $count1;
+ } else {
+ $count = $count2;
+ }
+
+ $result = 0;
+ for ($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;
+ } // function SUMXMY2()
+
+
+ /**
+ * TRUNC
+ *
+ * Truncates value to the number of fractional digits by number_digits.
+ *
+ * @param float $value
+ * @param int $digits
+ * @return float Truncated value
+ */
+ public static function TRUNC($value = 0, $digits = 0) {
+ $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
+ $digits = PHPExcel_Calculation_Functions::flattenSingleValue($digits);
+
+ // Validate parameters
+ if ((!is_numeric($value)) || (!is_numeric($digits)))
+ return PHPExcel_Calculation_Functions::VALUE();
+ $digits = floor($digits);
+
+ // Truncate
+ $adjust = pow(10, $digits);
+
+ if (($digits > 0) && (rtrim(intval((abs($value) - abs(intval($value))) * $adjust),'0') < $adjust/10))
+ return $value;
+
+ return (intval($value * $adjust)) / $adjust;
+ } // function TRUNC()
+
+} // class PHPExcel_Calculation_MathTrig
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