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<?php |
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/** |
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* PHPExcel |
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* |
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* Copyright (c) 2006 - 2014 PHPExcel |
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* |
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* This library is free software; you can redistribute it and/or |
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* modify it under the terms of the GNU Lesser General Public |
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* License as published by the Free Software Foundation; either |
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* version 2.1 of the License, or (at your option) any later version. |
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* |
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* This library is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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* Lesser General Public License for more details. |
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* |
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* You should have received a copy of the GNU Lesser General Public |
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* License along with this library; if not, write to the Free Software |
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
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* |
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* @category PHPExcel |
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* @package PHPExcel_Calculation |
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* @copyright Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel) |
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* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL |
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* @version ##VERSION##, ##DATE## |
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*/ |
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|
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|
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/** PHPExcel root directory */ |
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if (!defined('PHPEXCEL_ROOT')) { |
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/** |
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* @ignore |
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*/ |
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define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../'); |
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require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php'); |
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} |
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|
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|
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/** |
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* PHPExcel_Calculation_MathTrig |
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* |
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* @category PHPExcel |
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* @package PHPExcel_Calculation |
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* @copyright Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel) |
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*/ |
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class PHPExcel_Calculation_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($value) { |
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$startVal = floor(sqrt($value)); |
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|
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$factorArray = array(); |
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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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} else { |
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return array((integer) $value); |
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} |
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} // function _factors() |
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|
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|
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private static function _romanCut($num, $n) { |
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return ($num - ($num % $n ) ) / $n; |
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} // function _romanCut() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param float $xCoordinate The x-coordinate of the point. |
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* @param float $yCoordinate The y-coordinate of the point. |
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* @return float The inverse tangent of the specified x- and y-coordinates. |
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*/ |
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public static function ATAN2($xCoordinate = NULL, $yCoordinate = NULL) { |
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$xCoordinate = PHPExcel_Calculation_Functions::flattenSingleValue($xCoordinate); |
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$yCoordinate = PHPExcel_Calculation_Functions::flattenSingleValue($yCoordinate); |
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|
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$xCoordinate = ($xCoordinate !== NULL) ? $xCoordinate : 0.0; |
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$yCoordinate = ($yCoordinate !== NULL) ? $yCoordinate : 0.0; |
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|
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if (((is_numeric($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) $yCoordinate; |
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|
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if (($xCoordinate == 0) && ($yCoordinate == 0)) { |
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return PHPExcel_Calculation_Functions::DIV0(); |
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} |
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|
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return atan2($yCoordinate, $xCoordinate); |
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} |
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return PHPExcel_Calculation_Functions::VALUE(); |
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} // function ATAN2() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param float $number The number you want to round. |
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* @param float $significance The multiple to which you want to round. |
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* @return float Rounded Number |
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*/ |
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public static function CEILING($number, $significance = NULL) { |
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$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
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$significance = PHPExcel_Calculation_Functions::flattenSingleValue($significance); |
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|
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if ((is_null($significance)) && |
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(PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC)) { |
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$significance = $number/abs($number); |
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} |
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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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} else { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} |
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} |
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return PHPExcel_Calculation_Functions::VALUE(); |
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} // function CEILING() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param int $numObjs Number of different objects |
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* @param int $numInSet Number of objects in each combination |
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* @return int Number of combinations |
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*/ |
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public static function COMBIN($numObjs, $numInSet) { |
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$numObjs = PHPExcel_Calculation_Functions::flattenSingleValue($numObjs); |
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$numInSet = PHPExcel_Calculation_Functions::flattenSingleValue($numInSet); |
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|
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if ((is_numeric($numObjs)) && (is_numeric($numInSet))) { |
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if ($numObjs < $numInSet) { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} elseif ($numInSet < 0) { |
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return PHPExcel_Calculation_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 PHPExcel_Calculation_Functions::VALUE(); |
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} // function COMBIN() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param float $number Number to round |
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* @return int Rounded Number |
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*/ |
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public static function EVEN($number) { |
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$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
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|
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if (is_null($number)) { |
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return 0; |
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} elseif (is_bool($number)) { |
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$number = (int) $number; |
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} |
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|
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if (is_numeric($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 PHPExcel_Calculation_Functions::VALUE(); |
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} // function EVEN() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param float $factVal Factorial Value |
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* @return int Factorial |
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*/ |
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public static function FACT($factVal) { |
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$factVal = PHPExcel_Calculation_Functions::flattenSingleValue($factVal); |
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|
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if (is_numeric($factVal)) { |
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if ($factVal < 0) { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} |
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$factLoop = floor($factVal); |
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if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) { |
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if ($factVal > $factLoop) { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} |
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} |
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|
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$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 PHPExcel_Calculation_Functions::VALUE(); |
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} // function FACT() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param float $factVal Factorial Value |
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* @return int Double Factorial |
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*/ |
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public static function FACTDOUBLE($factVal) { |
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$factLoop = PHPExcel_Calculation_Functions::flattenSingleValue($factVal); |
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|
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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 PHPExcel_Calculation_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 PHPExcel_Calculation_Functions::VALUE(); |
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} // function FACTDOUBLE() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param float $number Number to round |
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* @param float $significance Significance |
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* @return float Rounded Number |
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*/ |
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public static function FLOOR($number, $significance = NULL) { |
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$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
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$significance = PHPExcel_Calculation_Functions::flattenSingleValue($significance); |
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|
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if ((is_null($significance)) && (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC)) { |
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$significance = $number/abs($number); |
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} |
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|
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if ((is_numeric($number)) && (is_numeric($significance))) { |
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if ($significance == 0.0) { |
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return PHPExcel_Calculation_Functions::DIV0(); |
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} elseif ($number == 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 floor($number / $significance) * $significance; |
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} else { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} |
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} else |
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|
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return PHPExcel_Calculation_Functions::VALUE(); |
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} // function FLOOR() |
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|
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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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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param mixed $arg,... Data values |
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* @return integer Greatest Common Divisor |
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*/ |
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public static function GCD() { |
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$returnValue = 1; |
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$allValuesFactors = array(); |
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// Loop through arguments |
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foreach(PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $value) { |
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if (!is_numeric($value)) { |
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return PHPExcel_Calculation_Functions::VALUE(); |
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} elseif ($value == 0) { |
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continue; |
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} elseif($value < 0) { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} |
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$myFactors = self::_factors($value); |
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$myCountedFactors = array_count_values($myFactors); |
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$allValuesFactors[] = $myCountedFactors; |
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} |
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$allValuesCount = count($allValuesFactors); |
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if ($allValuesCount == 0) { |
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return 0; |
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} |
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|
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$mergedArray = $allValuesFactors[0]; |
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for ($i=1;$i < $allValuesCount; ++$i) { |
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$mergedArray = array_intersect_key($mergedArray,$allValuesFactors[$i]); |
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} |
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$mergedArrayValues = count($mergedArray); |
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if ($mergedArrayValues == 0) { |
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return $returnValue; |
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} elseif ($mergedArrayValues > 1) { |
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foreach($mergedArray as $mergedKey => $mergedValue) { |
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foreach($allValuesFactors as $highestPowerTest) { |
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foreach($highestPowerTest as $testKey => $testValue) { |
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if (($testKey == $mergedKey) && ($testValue < $mergedValue)) { |
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$mergedArray[$mergedKey] = $testValue; |
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$mergedValue = $testValue; |
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} |
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} |
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} |
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} |
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|
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$returnValue = 1; |
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foreach($mergedArray as $key => $value) { |
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$returnValue *= pow($key,$value); |
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} |
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return $returnValue; |
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} else { |
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$keys = array_keys($mergedArray); |
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$key = $keys[0]; |
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$value = $mergedArray[$key]; |
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foreach($allValuesFactors as $testValue) { |
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foreach($testValue as $mergedKey => $mergedValue) { |
| 400 |
if (($mergedKey == $key) && ($mergedValue < $value)) { |
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$value = $mergedValue; |
| 402 |
} |
| 403 |
} |
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} |
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return pow($key,$value); |
| 406 |
} |
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} // function GCD() |
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|
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|
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/** |
| 411 |
* INT |
| 412 |
* |
| 413 |
* Casts a floating point value to an integer |
| 414 |
* |
| 415 |
* Excel Function: |
| 416 |
* INT(number) |
| 417 |
* |
| 418 |
* @access public |
| 419 |
* @category Mathematical and Trigonometric Functions |
| 420 |
* @param float $number Number to cast to an integer |
| 421 |
* @return integer Integer value |
| 422 |
*/ |
| 423 |
public static function INT($number) { |
| 424 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 425 |
|
| 426 |
if (is_null($number)) { |
| 427 |
return 0; |
| 428 |
} elseif (is_bool($number)) { |
| 429 |
return (int) $number; |
| 430 |
} |
| 431 |
if (is_numeric($number)) { |
| 432 |
return (int) floor($number); |
| 433 |
} |
| 434 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 435 |
} // function INT() |
| 436 |
|
| 437 |
|
| 438 |
/** |
| 439 |
* LCM |
| 440 |
* |
| 441 |
* Returns the lowest common multiplier of a series of numbers |
| 442 |
* The least common multiple is the smallest positive integer that is a multiple |
| 443 |
* of all integer arguments number1, number2, and so on. Use LCM to add fractions |
| 444 |
* with different denominators. |
| 445 |
* |
| 446 |
* Excel Function: |
| 447 |
* LCM(number1[,number2[, ...]]) |
| 448 |
* |
| 449 |
* @access public |
| 450 |
* @category Mathematical and Trigonometric Functions |
| 451 |
* @param mixed $arg,... Data values |
| 452 |
* @return int Lowest Common Multiplier |
| 453 |
*/ |
| 454 |
public static function LCM() { |
| 455 |
$returnValue = 1; |
| 456 |
$allPoweredFactors = array(); |
| 457 |
// Loop through arguments |
| 458 |
foreach(PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $value) { |
| 459 |
if (!is_numeric($value)) { |
| 460 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 461 |
} |
| 462 |
if ($value == 0) { |
| 463 |
return 0; |
| 464 |
} elseif ($value < 0) { |
| 465 |
return PHPExcel_Calculation_Functions::NaN(); |
| 466 |
} |
| 467 |
$myFactors = self::_factors(floor($value)); |
| 468 |
$myCountedFactors = array_count_values($myFactors); |
| 469 |
$myPoweredFactors = array(); |
| 470 |
foreach($myCountedFactors as $myCountedFactor => $myCountedPower) { |
| 471 |
$myPoweredFactors[$myCountedFactor] = pow($myCountedFactor,$myCountedPower); |
| 472 |
} |
| 473 |
foreach($myPoweredFactors as $myPoweredValue => $myPoweredFactor) { |
| 474 |
if (array_key_exists($myPoweredValue,$allPoweredFactors)) { |
| 475 |
if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) { |
| 476 |
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
| 477 |
} |
| 478 |
} else { |
| 479 |
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
| 480 |
} |
| 481 |
} |
| 482 |
} |
| 483 |
foreach($allPoweredFactors as $allPoweredFactor) { |
| 484 |
$returnValue *= (integer) $allPoweredFactor; |
| 485 |
} |
| 486 |
return $returnValue; |
| 487 |
} // function LCM() |
| 488 |
|
| 489 |
|
| 490 |
/** |
| 491 |
* LOG_BASE |
| 492 |
* |
| 493 |
* Returns the logarithm of a number to a specified base. The default base is 10. |
| 494 |
* |
| 495 |
* Excel Function: |
| 496 |
* LOG(number[,base]) |
| 497 |
* |
| 498 |
* @access public |
| 499 |
* @category Mathematical and Trigonometric Functions |
| 500 |
* @param float $number The positive real number for which you want the logarithm |
| 501 |
* @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10. |
| 502 |
* @return float |
| 503 |
*/ |
| 504 |
public static function LOG_BASE($number = NULL, $base = 10) { |
| 505 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 506 |
$base = (is_null($base)) ? 10 : (float) PHPExcel_Calculation_Functions::flattenSingleValue($base); |
| 507 |
|
| 508 |
if ((!is_numeric($base)) || (!is_numeric($number))) |
| 509 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 510 |
if (($base <= 0) || ($number <= 0)) |
| 511 |
return PHPExcel_Calculation_Functions::NaN(); |
| 512 |
return log($number, $base); |
| 513 |
} // function LOG_BASE() |
| 514 |
|
| 515 |
|
| 516 |
/** |
| 517 |
* MDETERM |
| 518 |
* |
| 519 |
* Returns the matrix determinant of an array. |
| 520 |
* |
| 521 |
* Excel Function: |
| 522 |
* MDETERM(array) |
| 523 |
* |
| 524 |
* @access public |
| 525 |
* @category Mathematical and Trigonometric Functions |
| 526 |
* @param array $matrixValues A matrix of values |
| 527 |
* @return float |
| 528 |
*/ |
| 529 |
public static function MDETERM($matrixValues) { |
| 530 |
$matrixData = array(); |
| 531 |
if (!is_array($matrixValues)) { $matrixValues = array(array($matrixValues)); } |
| 532 |
|
| 533 |
$row = $maxColumn = 0; |
| 534 |
foreach($matrixValues as $matrixRow) { |
| 535 |
if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); } |
| 536 |
$column = 0; |
| 537 |
foreach($matrixRow as $matrixCell) { |
| 538 |
if ((is_string($matrixCell)) || ($matrixCell === null)) { |
| 539 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 540 |
} |
| 541 |
$matrixData[$column][$row] = $matrixCell; |
| 542 |
++$column; |
| 543 |
} |
| 544 |
if ($column > $maxColumn) { $maxColumn = $column; } |
| 545 |
++$row; |
| 546 |
} |
| 547 |
if ($row != $maxColumn) { return PHPExcel_Calculation_Functions::VALUE(); } |
| 548 |
|
| 549 |
try { |
| 550 |
$matrix = new PHPExcel_Shared_JAMA_Matrix($matrixData); |
| 551 |
return $matrix->det(); |
| 552 |
} catch (PHPExcel_Exception $ex) { |
| 553 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 554 |
} |
| 555 |
} // function MDETERM() |
| 556 |
|
| 557 |
|
| 558 |
/** |
| 559 |
* MINVERSE |
| 560 |
* |
| 561 |
* Returns the inverse matrix for the matrix stored in an array. |
| 562 |
* |
| 563 |
* Excel Function: |
| 564 |
* MINVERSE(array) |
| 565 |
* |
| 566 |
* @access public |
| 567 |
* @category Mathematical and Trigonometric Functions |
| 568 |
* @param array $matrixValues A matrix of values |
| 569 |
* @return array |
| 570 |
*/ |
| 571 |
public static function MINVERSE($matrixValues) { |
| 572 |
$matrixData = array(); |
| 573 |
if (!is_array($matrixValues)) { $matrixValues = array(array($matrixValues)); } |
| 574 |
|
| 575 |
$row = $maxColumn = 0; |
| 576 |
foreach($matrixValues as $matrixRow) { |
| 577 |
if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); } |
| 578 |
$column = 0; |
| 579 |
foreach($matrixRow as $matrixCell) { |
| 580 |
if ((is_string($matrixCell)) || ($matrixCell === null)) { |
| 581 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 582 |
} |
| 583 |
$matrixData[$column][$row] = $matrixCell; |
| 584 |
++$column; |
| 585 |
} |
| 586 |
if ($column > $maxColumn) { $maxColumn = $column; } |
| 587 |
++$row; |
| 588 |
} |
| 589 |
if ($row != $maxColumn) { return PHPExcel_Calculation_Functions::VALUE(); } |
| 590 |
|
| 591 |
try { |
| 592 |
$matrix = new PHPExcel_Shared_JAMA_Matrix($matrixData); |
| 593 |
return $matrix->inverse()->getArray(); |
| 594 |
} catch (PHPExcel_Exception $ex) { |
| 595 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 596 |
} |
| 597 |
} // function MINVERSE() |
| 598 |
|
| 599 |
|
| 600 |
/** |
| 601 |
* MMULT |
| 602 |
* |
| 603 |
* @param array $matrixData1 A matrix of values |
| 604 |
* @param array $matrixData2 A matrix of values |
| 605 |
* @return array |
| 606 |
*/ |
| 607 |
public static function MMULT($matrixData1,$matrixData2) { |
| 608 |
$matrixAData = $matrixBData = array(); |
| 609 |
if (!is_array($matrixData1)) { $matrixData1 = array(array($matrixData1)); } |
| 610 |
if (!is_array($matrixData2)) { $matrixData2 = array(array($matrixData2)); } |
| 611 |
|
| 612 |
try { |
| 613 |
$rowA = 0; |
| 614 |
foreach($matrixData1 as $matrixRow) { |
| 615 |
if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); } |
| 616 |
$columnA = 0; |
| 617 |
foreach($matrixRow as $matrixCell) { |
| 618 |
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
| 619 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 620 |
} |
| 621 |
$matrixAData[$rowA][$columnA] = $matrixCell; |
| 622 |
++$columnA; |
| 623 |
} |
| 624 |
++$rowA; |
| 625 |
} |
| 626 |
$matrixA = new PHPExcel_Shared_JAMA_Matrix($matrixAData); |
| 627 |
$rowB = 0; |
| 628 |
foreach($matrixData2 as $matrixRow) { |
| 629 |
if (!is_array($matrixRow)) { $matrixRow = array($matrixRow); } |
| 630 |
$columnB = 0; |
| 631 |
foreach($matrixRow as $matrixCell) { |
| 632 |
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
| 633 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 634 |
} |
| 635 |
$matrixBData[$rowB][$columnB] = $matrixCell; |
| 636 |
++$columnB; |
| 637 |
} |
| 638 |
++$rowB; |
| 639 |
} |
| 640 |
$matrixB = new PHPExcel_Shared_JAMA_Matrix($matrixBData); |
| 641 |
|
| 642 |
if ($columnA != $rowB) { |
| 643 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 644 |
} |
| 645 |
|
| 646 |
return $matrixA->times($matrixB)->getArray(); |
| 647 |
} catch (PHPExcel_Exception $ex) { |
| 648 |
var_dump($ex->getMessage()); |
| 649 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 650 |
} |
| 651 |
} // function MMULT() |
| 652 |
|
| 653 |
|
| 654 |
/** |
| 655 |
* MOD |
| 656 |
* |
| 657 |
* @param int $a Dividend |
| 658 |
* @param int $b Divisor |
| 659 |
* @return int Remainder |
| 660 |
*/ |
| 661 |
public static function MOD($a = 1, $b = 1) { |
| 662 |
$a = PHPExcel_Calculation_Functions::flattenSingleValue($a); |
| 663 |
$b = PHPExcel_Calculation_Functions::flattenSingleValue($b); |
| 664 |
|
| 665 |
if ($b == 0.0) { |
| 666 |
return PHPExcel_Calculation_Functions::DIV0(); |
| 667 |
} elseif (($a < 0.0) && ($b > 0.0)) { |
| 668 |
return $b - fmod(abs($a),$b); |
| 669 |
} elseif (($a > 0.0) && ($b < 0.0)) { |
| 670 |
return $b + fmod($a,abs($b)); |
| 671 |
} |
| 672 |
|
| 673 |
return fmod($a,$b); |
| 674 |
} // function MOD() |
| 675 |
|
| 676 |
|
| 677 |
/** |
| 678 |
* MROUND |
| 679 |
* |
| 680 |
* Rounds a number to the nearest multiple of a specified value |
| 681 |
* |
| 682 |
* @param float $number Number to round |
| 683 |
* @param int $multiple Multiple to which you want to round $number |
| 684 |
* @return float Rounded Number |
| 685 |
*/ |
| 686 |
public static function MROUND($number,$multiple) { |
| 687 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 688 |
$multiple = PHPExcel_Calculation_Functions::flattenSingleValue($multiple); |
| 689 |
|
| 690 |
if ((is_numeric($number)) && (is_numeric($multiple))) { |
| 691 |
if ($multiple == 0) { |
| 692 |
return 0; |
| 693 |
} |
| 694 |
if ((self::SIGN($number)) == (self::SIGN($multiple))) { |
| 695 |
$multiplier = 1 / $multiple; |
| 696 |
return round($number * $multiplier) / $multiplier; |
| 697 |
} |
| 698 |
return PHPExcel_Calculation_Functions::NaN(); |
| 699 |
} |
| 700 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 701 |
} // function MROUND() |
| 702 |
|
| 703 |
|
| 704 |
/** |
| 705 |
* MULTINOMIAL |
| 706 |
* |
| 707 |
* Returns the ratio of the factorial of a sum of values to the product of factorials. |
| 708 |
* |
| 709 |
* @param array of mixed Data Series |
| 710 |
* @return float |
| 711 |
*/ |
| 712 |
public static function MULTINOMIAL() { |
| 713 |
$summer = 0; |
| 714 |
$divisor = 1; |
| 715 |
// Loop through arguments |
| 716 |
foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) { |
| 717 |
// Is it a numeric value? |
| 718 |
if (is_numeric($arg)) { |
| 719 |
if ($arg < 1) { |
| 720 |
return PHPExcel_Calculation_Functions::NaN(); |
| 721 |
} |
| 722 |
$summer += floor($arg); |
| 723 |
$divisor *= self::FACT($arg); |
| 724 |
} else { |
| 725 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 726 |
} |
| 727 |
} |
| 728 |
|
| 729 |
// Return |
| 730 |
if ($summer > 0) { |
| 731 |
$summer = self::FACT($summer); |
| 732 |
return $summer / $divisor; |
| 733 |
} |
| 734 |
return 0; |
| 735 |
} // function MULTINOMIAL() |
| 736 |
|
| 737 |
|
| 738 |
/** |
| 739 |
* ODD |
| 740 |
* |
| 741 |
* Returns number rounded up to the nearest odd integer. |
| 742 |
* |
| 743 |
* @param float $number Number to round |
| 744 |
* @return int Rounded Number |
| 745 |
*/ |
| 746 |
public static function ODD($number) { |
| 747 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 748 |
|
| 749 |
if (is_null($number)) { |
| 750 |
return 1; |
| 751 |
} elseif (is_bool($number)) { |
| 752 |
$number = (int) $number; |
| 753 |
} |
| 754 |
|
| 755 |
if (is_numeric($number)) { |
| 756 |
$significance = self::SIGN($number); |
| 757 |
if ($significance == 0) { |
| 758 |
return 1; |
| 759 |
} |
| 760 |
|
| 761 |
$result = self::CEILING($number,$significance); |
| 762 |
if ($result == self::EVEN($result)) { |
| 763 |
$result += $significance; |
| 764 |
} |
| 765 |
|
| 766 |
return (int) $result; |
| 767 |
} |
| 768 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 769 |
} // function ODD() |
| 770 |
|
| 771 |
|
| 772 |
/** |
| 773 |
* POWER |
| 774 |
* |
| 775 |
* Computes x raised to the power y. |
| 776 |
* |
| 777 |
* @param float $x |
| 778 |
* @param float $y |
| 779 |
* @return float |
| 780 |
*/ |
| 781 |
public static function POWER($x = 0, $y = 2) { |
| 782 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 783 |
$y = PHPExcel_Calculation_Functions::flattenSingleValue($y); |
| 784 |
|
| 785 |
// Validate parameters |
| 786 |
if ($x == 0.0 && $y == 0.0) { |
| 787 |
return PHPExcel_Calculation_Functions::NaN(); |
| 788 |
} elseif ($x == 0.0 && $y < 0.0) { |
| 789 |
return PHPExcel_Calculation_Functions::DIV0(); |
| 790 |
} |
| 791 |
|
| 792 |
// Return |
| 793 |
$result = pow($x, $y); |
| 794 |
return (!is_nan($result) && !is_infinite($result)) ? $result : PHPExcel_Calculation_Functions::NaN(); |
| 795 |
} // function POWER() |
| 796 |
|
| 797 |
|
| 798 |
/** |
| 799 |
* PRODUCT |
| 800 |
* |
| 801 |
* PRODUCT returns the product of all the values and cells referenced in the argument list. |
| 802 |
* |
| 803 |
* Excel Function: |
| 804 |
* PRODUCT(value1[,value2[, ...]]) |
| 805 |
* |
| 806 |
* @access public |
| 807 |
* @category Mathematical and Trigonometric Functions |
| 808 |
* @param mixed $arg,... Data values |
| 809 |
* @return float |
| 810 |
*/ |
| 811 |
public static function PRODUCT() { |
| 812 |
// Return value |
| 813 |
$returnValue = null; |
| 814 |
|
| 815 |
// Loop through arguments |
| 816 |
foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) { |
| 817 |
// Is it a numeric value? |
| 818 |
if ((is_numeric($arg)) && (!is_string($arg))) { |
| 819 |
if (is_null($returnValue)) { |
| 820 |
$returnValue = $arg; |
| 821 |
} else { |
| 822 |
$returnValue *= $arg; |
| 823 |
} |
| 824 |
} |
| 825 |
} |
| 826 |
|
| 827 |
// Return |
| 828 |
if (is_null($returnValue)) { |
| 829 |
return 0; |
| 830 |
} |
| 831 |
return $returnValue; |
| 832 |
} // function PRODUCT() |
| 833 |
|
| 834 |
|
| 835 |
/** |
| 836 |
* QUOTIENT |
| 837 |
* |
| 838 |
* QUOTIENT function returns the integer portion of a division. Numerator is the divided number |
| 839 |
* and denominator is the divisor. |
| 840 |
* |
| 841 |
* Excel Function: |
| 842 |
* QUOTIENT(value1[,value2[, ...]]) |
| 843 |
* |
| 844 |
* @access public |
| 845 |
* @category Mathematical and Trigonometric Functions |
| 846 |
* @param mixed $arg,... Data values |
| 847 |
* @return float |
| 848 |
*/ |
| 849 |
public static function QUOTIENT() { |
| 850 |
// Return value |
| 851 |
$returnValue = null; |
| 852 |
|
| 853 |
// Loop through arguments |
| 854 |
foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) { |
| 855 |
// Is it a numeric value? |
| 856 |
if ((is_numeric($arg)) && (!is_string($arg))) { |
| 857 |
if (is_null($returnValue)) { |
| 858 |
$returnValue = ($arg == 0) ? 0 : $arg; |
| 859 |
} else { |
| 860 |
if (($returnValue == 0) || ($arg == 0)) { |
| 861 |
$returnValue = 0; |
| 862 |
} else { |
| 863 |
$returnValue /= $arg; |
| 864 |
} |
| 865 |
} |
| 866 |
} |
| 867 |
} |
| 868 |
|
| 869 |
// Return |
| 870 |
return intval($returnValue); |
| 871 |
} // function QUOTIENT() |
| 872 |
|
| 873 |
|
| 874 |
/** |
| 875 |
* RAND |
| 876 |
* |
| 877 |
* @param int $min Minimal value |
| 878 |
* @param int $max Maximal value |
| 879 |
* @return int Random number |
| 880 |
*/ |
| 881 |
public static function RAND($min = 0, $max = 0) { |
| 882 |
$min = PHPExcel_Calculation_Functions::flattenSingleValue($min); |
| 883 |
$max = PHPExcel_Calculation_Functions::flattenSingleValue($max); |
| 884 |
|
| 885 |
if ($min == 0 && $max == 0) { |
| 886 |
return (mt_rand(0,10000000)) / 10000000; |
| 887 |
} else { |
| 888 |
return mt_rand($min, $max); |
| 889 |
} |
| 890 |
} // function RAND() |
| 891 |
|
| 892 |
|
| 893 |
public static function ROMAN($aValue, $style=0) { |
| 894 |
$aValue = PHPExcel_Calculation_Functions::flattenSingleValue($aValue); |
| 895 |
$style = (is_null($style)) ? 0 : (integer) PHPExcel_Calculation_Functions::flattenSingleValue($style); |
| 896 |
if ((!is_numeric($aValue)) || ($aValue < 0) || ($aValue >= 4000)) { |
| 897 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 898 |
} |
| 899 |
$aValue = (integer) $aValue; |
| 900 |
if ($aValue == 0) { |
| 901 |
return ''; |
| 902 |
} |
| 903 |
|
| 904 |
$mill = Array('', 'M', 'MM', 'MMM', 'MMMM', 'MMMMM'); |
| 905 |
$cent = Array('', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM'); |
| 906 |
$tens = Array('', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC'); |
| 907 |
$ones = Array('', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX'); |
| 908 |
|
| 909 |
$roman = ''; |
| 910 |
while ($aValue > 5999) { |
| 911 |
$roman .= 'M'; |
| 912 |
$aValue -= 1000; |
| 913 |
} |
| 914 |
$m = self::_romanCut($aValue, 1000); $aValue %= 1000; |
| 915 |
$c = self::_romanCut($aValue, 100); $aValue %= 100; |
| 916 |
$t = self::_romanCut($aValue, 10); $aValue %= 10; |
| 917 |
|
| 918 |
return $roman.$mill[$m].$cent[$c].$tens[$t].$ones[$aValue]; |
| 919 |
} // function ROMAN() |
| 920 |
|
| 921 |
|
| 922 |
/** |
| 923 |
* ROUNDUP |
| 924 |
* |
| 925 |
* Rounds a number up to a specified number of decimal places |
| 926 |
* |
| 927 |
* @param float $number Number to round |
| 928 |
* @param int $digits Number of digits to which you want to round $number |
| 929 |
* @return float Rounded Number |
| 930 |
*/ |
| 931 |
public static function ROUNDUP($number,$digits) { |
| 932 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 933 |
$digits = PHPExcel_Calculation_Functions::flattenSingleValue($digits); |
| 934 |
|
| 935 |
if ((is_numeric($number)) && (is_numeric($digits))) { |
| 936 |
$significance = pow(10,(int) $digits); |
| 937 |
if ($number < 0.0) { |
| 938 |
return floor($number * $significance) / $significance; |
| 939 |
} else { |
| 940 |
return ceil($number * $significance) / $significance; |
| 941 |
} |
| 942 |
} |
| 943 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 944 |
} // function ROUNDUP() |
| 945 |
|
| 946 |
|
| 947 |
/** |
| 948 |
* ROUNDDOWN |
| 949 |
* |
| 950 |
* Rounds a number down to a specified number of decimal places |
| 951 |
* |
| 952 |
* @param float $number Number to round |
| 953 |
* @param int $digits Number of digits to which you want to round $number |
| 954 |
* @return float Rounded Number |
| 955 |
*/ |
| 956 |
public static function ROUNDDOWN($number,$digits) { |
| 957 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 958 |
$digits = PHPExcel_Calculation_Functions::flattenSingleValue($digits); |
| 959 |
|
| 960 |
if ((is_numeric($number)) && (is_numeric($digits))) { |
| 961 |
$significance = pow(10,(int) $digits); |
| 962 |
if ($number < 0.0) { |
| 963 |
return ceil($number * $significance) / $significance; |
| 964 |
} else { |
| 965 |
return floor($number * $significance) / $significance; |
| 966 |
} |
| 967 |
} |
| 968 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 969 |
} // function ROUNDDOWN() |
| 970 |
|
| 971 |
|
| 972 |
/** |
| 973 |
* SERIESSUM |
| 974 |
* |
| 975 |
* Returns the sum of a power series |
| 976 |
* |
| 977 |
* @param float $x Input value to the power series |
| 978 |
* @param float $n Initial power to which you want to raise $x |
| 979 |
* @param float $m Step by which to increase $n for each term in the series |
| 980 |
* @param array of mixed Data Series |
| 981 |
* @return float |
| 982 |
*/ |
| 983 |
public static function SERIESSUM() { |
| 984 |
// Return value |
| 985 |
$returnValue = 0; |
| 986 |
|
| 987 |
// Loop through arguments |
| 988 |
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args()); |
| 989 |
|
| 990 |
$x = array_shift($aArgs); |
| 991 |
$n = array_shift($aArgs); |
| 992 |
$m = array_shift($aArgs); |
| 993 |
|
| 994 |
if ((is_numeric($x)) && (is_numeric($n)) && (is_numeric($m))) { |
| 995 |
// Calculate |
| 996 |
$i = 0; |
| 997 |
foreach($aArgs as $arg) { |
| 998 |
// Is it a numeric value? |
| 999 |
if ((is_numeric($arg)) && (!is_string($arg))) { |
| 1000 |
$returnValue += $arg * pow($x,$n + ($m * $i++)); |
| 1001 |
} else { |
| 1002 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1003 |
} |
| 1004 |
} |
| 1005 |
// Return |
| 1006 |
return $returnValue; |
| 1007 |
} |
| 1008 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1009 |
} // function SERIESSUM() |
| 1010 |
|
| 1011 |
|
| 1012 |
/** |
| 1013 |
* SIGN |
| 1014 |
* |
| 1015 |
* Determines the sign of a number. Returns 1 if the number is positive, zero (0) |
| 1016 |
* if the number is 0, and -1 if the number is negative. |
| 1017 |
* |
| 1018 |
* @param float $number Number to round |
| 1019 |
* @return int sign value |
| 1020 |
*/ |
| 1021 |
public static function SIGN($number) { |
| 1022 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 1023 |
|
| 1024 |
if (is_bool($number)) |
| 1025 |
return (int) $number; |
| 1026 |
if (is_numeric($number)) { |
| 1027 |
if ($number == 0.0) { |
| 1028 |
return 0; |
| 1029 |
} |
| 1030 |
return $number / abs($number); |
| 1031 |
} |
| 1032 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1033 |
} // function SIGN() |
| 1034 |
|
| 1035 |
|
| 1036 |
/** |
| 1037 |
* SQRTPI |
| 1038 |
* |
| 1039 |
* Returns the square root of (number * pi). |
| 1040 |
* |
| 1041 |
* @param float $number Number |
| 1042 |
* @return float Square Root of Number * Pi |
| 1043 |
*/ |
| 1044 |
public static function SQRTPI($number) { |
| 1045 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 1046 |
|
| 1047 |
if (is_numeric($number)) { |
| 1048 |
if ($number < 0) { |
| 1049 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1050 |
} |
| 1051 |
return sqrt($number * M_PI) ; |
| 1052 |
} |
| 1053 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1054 |
} // function SQRTPI() |
| 1055 |
|
| 1056 |
|
| 1057 |
/** |
| 1058 |
* SUBTOTAL |
| 1059 |
* |
| 1060 |
* Returns a subtotal in a list or database. |
| 1061 |
* |
| 1062 |
* @param int the number 1 to 11 that specifies which function to |
| 1063 |
* use in calculating subtotals within a list. |
| 1064 |
* @param array of mixed Data Series |
| 1065 |
* @return float |
| 1066 |
*/ |
| 1067 |
public static function SUBTOTAL() { |
| 1068 |
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args()); |
| 1069 |
|
| 1070 |
// Calculate |
| 1071 |
$subtotal = array_shift($aArgs); |
| 1072 |
|
| 1073 |
if ((is_numeric($subtotal)) && (!is_string($subtotal))) { |
| 1074 |
switch($subtotal) { |
| 1075 |
case 1 : |
| 1076 |
return PHPExcel_Calculation_Statistical::AVERAGE($aArgs); |
| 1077 |
break; |
| 1078 |
case 2 : |
| 1079 |
return PHPExcel_Calculation_Statistical::COUNT($aArgs); |
| 1080 |
break; |
| 1081 |
case 3 : |
| 1082 |
return PHPExcel_Calculation_Statistical::COUNTA($aArgs); |
| 1083 |
break; |
| 1084 |
case 4 : |
| 1085 |
return PHPExcel_Calculation_Statistical::MAX($aArgs); |
| 1086 |
break; |
| 1087 |
case 5 : |
| 1088 |
return PHPExcel_Calculation_Statistical::MIN($aArgs); |
| 1089 |
break; |
| 1090 |
case 6 : |
| 1091 |
return self::PRODUCT($aArgs); |
| 1092 |
break; |
| 1093 |
case 7 : |
| 1094 |
return PHPExcel_Calculation_Statistical::STDEV($aArgs); |
| 1095 |
break; |
| 1096 |
case 8 : |
| 1097 |
return PHPExcel_Calculation_Statistical::STDEVP($aArgs); |
| 1098 |
break; |
| 1099 |
case 9 : |
| 1100 |
return self::SUM($aArgs); |
| 1101 |
break; |
| 1102 |
case 10 : |
| 1103 |
return PHPExcel_Calculation_Statistical::VARFunc($aArgs); |
| 1104 |
break; |
| 1105 |
case 11 : |
| 1106 |
return PHPExcel_Calculation_Statistical::VARP($aArgs); |
| 1107 |
break; |
| 1108 |
} |
| 1109 |
} |
| 1110 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1111 |
} // function SUBTOTAL() |
| 1112 |
|
| 1113 |
|
| 1114 |
/** |
| 1115 |
* SUM |
| 1116 |
* |
| 1117 |
* SUM computes the sum of all the values and cells referenced in the argument list. |
| 1118 |
* |
| 1119 |
* Excel Function: |
| 1120 |
* SUM(value1[,value2[, ...]]) |
| 1121 |
* |
| 1122 |
* @access public |
| 1123 |
* @category Mathematical and Trigonometric Functions |
| 1124 |
* @param mixed $arg,... Data values |
| 1125 |
* @return float |
| 1126 |
*/ |
| 1127 |
public static function SUM() { |
| 1128 |
// Return value |
| 1129 |
$returnValue = 0; |
| 1130 |
|
| 1131 |
// Loop through the arguments |
| 1132 |
foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) { |
| 1133 |
// Is it a numeric value? |
| 1134 |
if ((is_numeric($arg)) && (!is_string($arg))) { |
| 1135 |
$returnValue += $arg; |
| 1136 |
} |
| 1137 |
} |
| 1138 |
|
| 1139 |
// Return |
| 1140 |
return $returnValue; |
| 1141 |
} // function SUM() |
| 1142 |
|
| 1143 |
|
| 1144 |
/** |
| 1145 |
* SUMIF |
| 1146 |
* |
| 1147 |
* Counts the number of cells that contain numbers within the list of arguments |
| 1148 |
* |
| 1149 |
* Excel Function: |
| 1150 |
* SUMIF(value1[,value2[, ...]],condition) |
| 1151 |
* |
| 1152 |
* @access public |
| 1153 |
* @category Mathematical and Trigonometric Functions |
| 1154 |
* @param mixed $arg,... Data values |
| 1155 |
* @param string $condition The criteria that defines which cells will be summed. |
| 1156 |
* @return float |
| 1157 |
*/ |
| 1158 |
public static function SUMIF($aArgs,$condition,$sumArgs = array()) { |
| 1159 |
// Return value |
| 1160 |
$returnValue = 0; |
| 1161 |
|
| 1162 |
$aArgs = PHPExcel_Calculation_Functions::flattenArray($aArgs); |
| 1163 |
$sumArgs = PHPExcel_Calculation_Functions::flattenArray($sumArgs); |
| 1164 |
if (empty($sumArgs)) { |
| 1165 |
$sumArgs = $aArgs; |
| 1166 |
} |
| 1167 |
$condition = PHPExcel_Calculation_Functions::_ifCondition($condition); |
| 1168 |
// Loop through arguments |
| 1169 |
foreach ($aArgs as $key => $arg) { |
| 1170 |
if (!is_numeric($arg)) { |
| 1171 |
$arg = str_replace('"', '""', $arg); |
| 1172 |
$arg = PHPExcel_Calculation::_wrapResult(strtoupper($arg)); |
| 1173 |
} |
| 1174 |
|
| 1175 |
$testCondition = '='.$arg.$condition; |
| 1176 |
if (PHPExcel_Calculation::getInstance()->_calculateFormulaValue($testCondition)) { |
| 1177 |
// Is it a value within our criteria |
| 1178 |
$returnValue += $sumArgs[$key]; |
| 1179 |
} |
| 1180 |
} |
| 1181 |
|
| 1182 |
// Return |
| 1183 |
return $returnValue; |
| 1184 |
} // function SUMIF() |
| 1185 |
|
| 1186 |
|
| 1187 |
/** |
| 1188 |
* SUMPRODUCT |
| 1189 |
* |
| 1190 |
* Excel Function: |
| 1191 |
* SUMPRODUCT(value1[,value2[, ...]]) |
| 1192 |
* |
| 1193 |
* @access public |
| 1194 |
* @category Mathematical and Trigonometric Functions |
| 1195 |
* @param mixed $arg,... Data values |
| 1196 |
* @return float |
| 1197 |
*/ |
| 1198 |
public static function SUMPRODUCT() { |
| 1199 |
$arrayList = func_get_args(); |
| 1200 |
|
| 1201 |
$wrkArray = PHPExcel_Calculation_Functions::flattenArray(array_shift($arrayList)); |
| 1202 |
$wrkCellCount = count($wrkArray); |
| 1203 |
|
| 1204 |
for ($i=0; $i< $wrkCellCount; ++$i) { |
| 1205 |
if ((!is_numeric($wrkArray[$i])) || (is_string($wrkArray[$i]))) { |
| 1206 |
$wrkArray[$i] = 0; |
| 1207 |
} |
| 1208 |
} |
| 1209 |
|
| 1210 |
foreach($arrayList as $matrixData) { |
| 1211 |
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData); |
| 1212 |
$count = count($array2); |
| 1213 |
if ($wrkCellCount != $count) { |
| 1214 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1215 |
} |
| 1216 |
|
| 1217 |
foreach ($array2 as $i => $val) { |
| 1218 |
if ((!is_numeric($val)) || (is_string($val))) { |
| 1219 |
$val = 0; |
| 1220 |
} |
| 1221 |
$wrkArray[$i] *= $val; |
| 1222 |
} |
| 1223 |
} |
| 1224 |
|
| 1225 |
return array_sum($wrkArray); |
| 1226 |
} // function SUMPRODUCT() |
| 1227 |
|
| 1228 |
|
| 1229 |
/** |
| 1230 |
* SUMSQ |
| 1231 |
* |
| 1232 |
* SUMSQ returns the sum of the squares of the arguments |
| 1233 |
* |
| 1234 |
* Excel Function: |
| 1235 |
* SUMSQ(value1[,value2[, ...]]) |
| 1236 |
* |
| 1237 |
* @access public |
| 1238 |
* @category Mathematical and Trigonometric Functions |
| 1239 |
* @param mixed $arg,... Data values |
| 1240 |
* @return float |
| 1241 |
*/ |
| 1242 |
public static function SUMSQ() { |
| 1243 |
// Return value |
| 1244 |
$returnValue = 0; |
| 1245 |
|
| 1246 |
// Loop through arguments |
| 1247 |
foreach (PHPExcel_Calculation_Functions::flattenArray(func_get_args()) as $arg) { |
| 1248 |
// Is it a numeric value? |
| 1249 |
if ((is_numeric($arg)) && (!is_string($arg))) { |
| 1250 |
$returnValue += ($arg * $arg); |
| 1251 |
} |
| 1252 |
} |
| 1253 |
|
| 1254 |
// Return |
| 1255 |
return $returnValue; |
| 1256 |
} // function SUMSQ() |
| 1257 |
|
| 1258 |
|
| 1259 |
/** |
| 1260 |
* SUMX2MY2 |
| 1261 |
* |
| 1262 |
* @param mixed[] $matrixData1 Matrix #1 |
| 1263 |
* @param mixed[] $matrixData2 Matrix #2 |
| 1264 |
* @return float |
| 1265 |
*/ |
| 1266 |
public static function SUMX2MY2($matrixData1,$matrixData2) { |
| 1267 |
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1); |
| 1268 |
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2); |
| 1269 |
$count1 = count($array1); |
| 1270 |
$count2 = count($array2); |
| 1271 |
if ($count1 < $count2) { |
| 1272 |
$count = $count1; |
| 1273 |
} else { |
| 1274 |
$count = $count2; |
| 1275 |
} |
| 1276 |
|
| 1277 |
$result = 0; |
| 1278 |
for ($i = 0; $i < $count; ++$i) { |
| 1279 |
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
| 1280 |
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
| 1281 |
$result += ($array1[$i] * $array1[$i]) - ($array2[$i] * $array2[$i]); |
| 1282 |
} |
| 1283 |
} |
| 1284 |
|
| 1285 |
return $result; |
| 1286 |
} // function SUMX2MY2() |
| 1287 |
|
| 1288 |
|
| 1289 |
/** |
| 1290 |
* SUMX2PY2 |
| 1291 |
* |
| 1292 |
* @param mixed[] $matrixData1 Matrix #1 |
| 1293 |
* @param mixed[] $matrixData2 Matrix #2 |
| 1294 |
* @return float |
| 1295 |
*/ |
| 1296 |
public static function SUMX2PY2($matrixData1,$matrixData2) { |
| 1297 |
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1); |
| 1298 |
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2); |
| 1299 |
$count1 = count($array1); |
| 1300 |
$count2 = count($array2); |
| 1301 |
if ($count1 < $count2) { |
| 1302 |
$count = $count1; |
| 1303 |
} else { |
| 1304 |
$count = $count2; |
| 1305 |
} |
| 1306 |
|
| 1307 |
$result = 0; |
| 1308 |
for ($i = 0; $i < $count; ++$i) { |
| 1309 |
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
| 1310 |
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
| 1311 |
$result += ($array1[$i] * $array1[$i]) + ($array2[$i] * $array2[$i]); |
| 1312 |
} |
| 1313 |
} |
| 1314 |
|
| 1315 |
return $result; |
| 1316 |
} // function SUMX2PY2() |
| 1317 |
|
| 1318 |
|
| 1319 |
/** |
| 1320 |
* SUMXMY2 |
| 1321 |
* |
| 1322 |
* @param mixed[] $matrixData1 Matrix #1 |
| 1323 |
* @param mixed[] $matrixData2 Matrix #2 |
| 1324 |
* @return float |
| 1325 |
*/ |
| 1326 |
public static function SUMXMY2($matrixData1,$matrixData2) { |
| 1327 |
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1); |
| 1328 |
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2); |
| 1329 |
$count1 = count($array1); |
| 1330 |
$count2 = count($array2); |
| 1331 |
if ($count1 < $count2) { |
| 1332 |
$count = $count1; |
| 1333 |
} else { |
| 1334 |
$count = $count2; |
| 1335 |
} |
| 1336 |
|
| 1337 |
$result = 0; |
| 1338 |
for ($i = 0; $i < $count; ++$i) { |
| 1339 |
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
| 1340 |
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
| 1341 |
$result += ($array1[$i] - $array2[$i]) * ($array1[$i] - $array2[$i]); |
| 1342 |
} |
| 1343 |
} |
| 1344 |
|
| 1345 |
return $result; |
| 1346 |
} // function SUMXMY2() |
| 1347 |
|
| 1348 |
|
| 1349 |
/** |
| 1350 |
* TRUNC |
| 1351 |
* |
| 1352 |
* Truncates value to the number of fractional digits by number_digits. |
| 1353 |
* |
| 1354 |
* @param float $value |
| 1355 |
* @param int $digits |
| 1356 |
* @return float Truncated value |
| 1357 |
*/ |
| 1358 |
public static function TRUNC($value = 0, $digits = 0) { |
| 1359 |
$value = PHPExcel_Calculation_Functions::flattenSingleValue($value); |
| 1360 |
$digits = PHPExcel_Calculation_Functions::flattenSingleValue($digits); |
| 1361 |
|
| 1362 |
// Validate parameters |
| 1363 |
if ((!is_numeric($value)) || (!is_numeric($digits))) |
| 1364 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1365 |
$digits = floor($digits); |
| 1366 |
|
| 1367 |
// Truncate |
| 1368 |
$adjust = pow(10, $digits); |
| 1369 |
|
| 1370 |
if (($digits > 0) && (rtrim(intval((abs($value) - abs(intval($value))) * $adjust),'0') < $adjust/10)) |
| 1371 |
return $value; |
| 1372 |
|
| 1373 |
return (intval($value * $adjust)) / $adjust; |
| 1374 |
} // function TRUNC() |
| 1375 |
|
| 1376 |
} // class PHPExcel_Calculation_MathTrig |
| 1377 |
|