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1459 lines
47 KiB
1459 lines
47 KiB
<?php |
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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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* PHPExcel_Calculation_MathTrig |
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* |
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* Copyright (c) 2006 - 2015 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 - 2015 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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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($value) |
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{ |
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$startVal = floor(sqrt($value)); |
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$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) $value); |
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} |
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} |
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private static function romanCut($num, $n) |
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{ |
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return ($num - ($num % $n ) ) / $n; |
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} |
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/** |
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* ATAN2 |
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* |
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* This function calculates the arc tangent of the two variables x and y. It is similar to |
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* calculating the arc tangent of y ÷ x, except that the signs of both arguments are used |
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* to determine the quadrant of the result. |
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* The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a |
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* point with coordinates (xCoordinate, yCoordinate). The angle is given in radians between |
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* -pi and pi, excluding -pi. |
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* |
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* Note that the Excel ATAN2() function accepts its arguments in the reverse order to the standard |
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* PHP atan2() function, so we need to reverse them here before calling the PHP atan() function. |
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* |
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* Excel Function: |
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* ATAN2(xCoordinate,yCoordinate) |
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* |
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* @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, $yCoordinate = null) |
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{ |
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$xCoordinate = PHPExcel_Calculation_Functions::flattenSingleValue($xCoordinate); |
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$yCoordinate = PHPExcel_Calculation_Functions::flattenSingleValue($yCoordinate); |
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$xCoordinate = ($xCoordinate !== null) ? $xCoordinate : 0.0; |
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$yCoordinate = ($yCoordinate !== null) ? $yCoordinate : 0.0; |
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if (((is_numeric($xCoordinate)) || (is_bool($xCoordinate))) && |
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((is_numeric($yCoordinate))) || (is_bool($yCoordinate))) { |
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$xCoordinate = (float) $xCoordinate; |
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$yCoordinate = (float) $yCoordinate; |
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if (($xCoordinate == 0) && ($yCoordinate == 0)) { |
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return PHPExcel_Calculation_Functions::DIV0(); |
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} |
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return atan2($yCoordinate, $xCoordinate); |
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} |
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return PHPExcel_Calculation_Functions::VALUE(); |
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} |
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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, $significance = null) |
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{ |
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$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
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$significance = PHPExcel_Calculation_Functions::flattenSingleValue($significance); |
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if ((is_null($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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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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} |
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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, $numInSet) |
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{ |
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$numObjs = PHPExcel_Calculation_Functions::flattenSingleValue($numObjs); |
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$numInSet = PHPExcel_Calculation_Functions::flattenSingleValue($numInSet); |
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if ((is_numeric($numObjs)) && (is_numeric($numInSet))) { |
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if ($numObjs < $numInSet) { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} elseif ($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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} |
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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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{ |
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$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
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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) $number; |
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} |
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if (is_numeric($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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} |
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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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{ |
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$factVal = PHPExcel_Calculation_Functions::flattenSingleValue($factVal); |
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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 > $factLoop) { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} |
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} |
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$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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} |
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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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{ |
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$factLoop = PHPExcel_Calculation_Functions::flattenSingleValue($factVal); |
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if (is_numeric($factLoop)) { |
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$factLoop = floor($factLoop); |
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if ($factVal < 0) { |
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return 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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} |
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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, $significance = null) |
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{ |
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$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
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$significance = PHPExcel_Calculation_Functions::flattenSingleValue($significance); |
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if ((is_null($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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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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} |
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return PHPExcel_Calculation_Functions::VALUE(); |
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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 $arg,... Data values |
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* @return integer Greatest Common Divisor |
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*/ |
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public static function GCD() |
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{ |
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$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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$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 = $testValue; |
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} |
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} |
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} |
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} |
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$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 => $mergedValue) { |
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if (($mergedKey == $key) && ($mergedValue < $value)) { |
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$value = $mergedValue; |
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} |
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} |
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} |
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return pow($key, $value); |
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} |
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} |
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/** |
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* INT |
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* |
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* Casts a floating point value to an integer |
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* |
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* Excel Function: |
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* INT(number) |
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* |
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* @access public |
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* @category Mathematical and Trigonometric Functions |
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* @param float $number Number to cast to an integer |
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* @return integer Integer value |
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*/ |
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public static function INT($number) |
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{ |
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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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return (int) $number; |
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} |
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if (is_numeric($number)) { |
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return (int) floor($number); |
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} |
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return PHPExcel_Calculation_Functions::VALUE(); |
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} |
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|
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/** |
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* LCM |
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* |
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* Returns the lowest common multiplier of a series of numbers |
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* The least common multiple is the smallest positive integer that is a multiple |
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* of all integer arguments number1, number2, and so on. Use LCM to add fractions |
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* with different denominators. |
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* |
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* Excel Function: |
|
* LCM(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 $arg,... Data values |
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* @return int Lowest Common Multiplier |
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*/ |
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public static function LCM() |
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{ |
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$returnValue = 1; |
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$allPoweredFactors = 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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} |
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if ($value == 0) { |
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return 0; |
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} elseif ($value < 0) { |
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return PHPExcel_Calculation_Functions::NaN(); |
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} |
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$myFactors = self::factors(floor($value)); |
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$myCountedFactors = array_count_values($myFactors); |
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$myPoweredFactors = array(); |
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foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) { |
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$myPoweredFactors[$myCountedFactor] = pow($myCountedFactor, $myCountedPower); |
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} |
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foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) { |
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if (array_key_exists($myPoweredValue, $allPoweredFactors)) { |
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if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) { |
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$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
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} |
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} else { |
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$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
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} |
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} |
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} |
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foreach ($allPoweredFactors as $allPoweredFactor) { |
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$returnValue *= (integer) $allPoweredFactor; |
|
} |
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return $returnValue; |
|
} |
|
|
|
|
|
/** |
|
* LOG_BASE |
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* |
|
* 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 $number The positive real number for which you want the logarithm |
|
* @param float $base The base of the logarithm. If base is omitted, it is assumed to be 10. |
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* @return float |
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*/ |
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public static function LOG_BASE($number = null, $base = 10) |
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{ |
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$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
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$base = (is_null($base)) ? 10 : (float) PHPExcel_Calculation_Functions::flattenSingleValue($base); |
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|
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if ((!is_numeric($base)) || (!is_numeric($number))) { |
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return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
if (($base <= 0) || ($number <= 0)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
return log($number, $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 = $maxColumn = 0; |
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foreach ($matrixValues as $matrixRow) { |
|
if (!is_array($matrixRow)) { |
|
$matrixRow = array($matrixRow); |
|
} |
|
$column = 0; |
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foreach ($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 (PHPExcel_Exception $ex) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* 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 (PHPExcel_Exception $ex) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* 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)); |
|
} |
|
|
|
try { |
|
$rowA = 0; |
|
foreach ($matrixData1 as $matrixRow) { |
|
if (!is_array($matrixRow)) { |
|
$matrixRow = array($matrixRow); |
|
} |
|
$columnA = 0; |
|
foreach ($matrixRow as $matrixCell) { |
|
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$matrixAData[$rowA][$columnA] = $matrixCell; |
|
++$columnA; |
|
} |
|
++$rowA; |
|
} |
|
$matrixA = new PHPExcel_Shared_JAMA_Matrix($matrixAData); |
|
$rowB = 0; |
|
foreach ($matrixData2 as $matrixRow) { |
|
if (!is_array($matrixRow)) { |
|
$matrixRow = array($matrixRow); |
|
} |
|
$columnB = 0; |
|
foreach ($matrixRow as $matrixCell) { |
|
if ((!is_numeric($matrixCell)) || ($matrixCell === null)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$matrixBData[$rowB][$columnB] = $matrixCell; |
|
++$columnB; |
|
} |
|
++$rowB; |
|
} |
|
$matrixB = new PHPExcel_Shared_JAMA_Matrix($matrixBData); |
|
|
|
if ($columnA != $rowB) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
return $matrixA->times($matrixB)->getArray(); |
|
} catch (PHPExcel_Exception $ex) { |
|
var_dump($ex->getMessage()); |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* 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); |
|
} |
|
|
|
|
|
/** |
|
* 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(); |
|
} |
|
|
|
|
|
/** |
|
* 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; |
|
} |
|
|
|
|
|
/** |
|
* 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)) { |
|
return 1; |
|
} elseif (is_numeric($number)) { |
|
$significance = self::SIGN($number); |
|
if ($significance == 0) { |
|
return 1; |
|
} |
|
|
|
$result = self::CEILING($number, $significance); |
|
if ($result == self::EVEN($result)) { |
|
$result += $significance; |
|
} |
|
|
|
return (int) $result; |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
/** |
|
* 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(); |
|
} |
|
|
|
|
|
/** |
|
* 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; |
|
} |
|
|
|
|
|
/** |
|
* 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); |
|
} |
|
|
|
|
|
/** |
|
* 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 && $max == 0) { |
|
return (mt_rand(0, 10000000)) / 10000000; |
|
} else { |
|
return mt_rand($min, $max); |
|
} |
|
} |
|
|
|
|
|
public static function ROMAN($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]; |
|
} |
|
|
|
|
|
/** |
|
* 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(); |
|
} |
|
|
|
|
|
/** |
|
* 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(); |
|
} |
|
|
|
|
|
/** |
|
* 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() |
|
{ |
|
$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 $returnValue; |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
/** |
|
* SIGN |
|
* |
|
* Determines the sign of a number. Returns 1 if the number is positive, zero (0) |
|
* if the number is 0, and -1 if the number is negative. |
|
* |
|
* @param float $number Number to round |
|
* @return int sign value |
|
*/ |
|
public static function SIGN($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(); |
|
} |
|
|
|
|
|
/** |
|
* 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(); |
|
} |
|
|
|
|
|
/** |
|
* 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); |
|
case 2: |
|
return PHPExcel_Calculation_Statistical::COUNT($aArgs); |
|
case 3: |
|
return PHPExcel_Calculation_Statistical::COUNTA($aArgs); |
|
case 4: |
|
return PHPExcel_Calculation_Statistical::MAX($aArgs); |
|
case 5: |
|
return PHPExcel_Calculation_Statistical::MIN($aArgs); |
|
case 6: |
|
return self::PRODUCT($aArgs); |
|
case 7: |
|
return PHPExcel_Calculation_Statistical::STDEV($aArgs); |
|
case 8: |
|
return PHPExcel_Calculation_Statistical::STDEVP($aArgs); |
|
case 9: |
|
return self::SUM($aArgs); |
|
case 10: |
|
return PHPExcel_Calculation_Statistical::VARFunc($aArgs); |
|
case 11: |
|
return PHPExcel_Calculation_Statistical::VARP($aArgs); |
|
} |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
/** |
|
* 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() |
|
{ |
|
$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 $returnValue; |
|
} |
|
|
|
|
|
/** |
|
* 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()) |
|
{ |
|
$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 = str_replace('"', '""', $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 $returnValue; |
|
} |
|
|
|
|
|
/** |
|
* SUMIFS |
|
* |
|
* Counts the number of cells that contain numbers within the list of arguments |
|
* |
|
* Excel Function: |
|
* SUMIFS(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 SUMIFS() { |
|
$arrayList = func_get_args(); |
|
|
|
$sumArgs = PHPExcel_Calculation_Functions::flattenArray(array_shift($arrayList)); |
|
|
|
while (count($arrayList) > 0) { |
|
$aArgsArray[] = PHPExcel_Calculation_Functions::flattenArray(array_shift($arrayList)); |
|
$conditions[] = PHPExcel_Calculation_Functions::ifCondition(array_shift($arrayList)); |
|
} |
|
|
|
// Loop through each set of arguments and conditions |
|
foreach ($conditions as $index => $condition) { |
|
$aArgs = $aArgsArray[$index]; |
|
$wildcard = false; |
|
if ((strpos($condition, '*') !== false) || (strpos($condition, '?') !== false)) { |
|
// * and ? are wildcard characters. |
|
// Use ~* and ~? for literal star and question mark |
|
// Code logic doesn't yet handle escaping |
|
$condition = trim(ltrim($condition, '=<>'), '"'); |
|
$wildcard = true; |
|
} |
|
// Loop through arguments |
|
foreach ($aArgs as $key => $arg) { |
|
if ($wildcard) { |
|
if (!fnmatch($condition, $arg, FNM_CASEFOLD)) { |
|
// Is it a value within our criteria |
|
$sumArgs[$key] = 0.0; |
|
} |
|
} else { |
|
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 |
|
$sumArgs[$key] = 0.0; |
|
} |
|
} |
|
} |
|
} |
|
|
|
// Return |
|
return array_sum($sumArgs); |
|
} |
|
|
|
|
|
/** |
|
* 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); |
|
} |
|
|
|
|
|
/** |
|
* 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() |
|
{ |
|
$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 $returnValue; |
|
} |
|
|
|
|
|
/** |
|
* SUMX2MY2 |
|
* |
|
* @param mixed[] $matrixData1 Matrix #1 |
|
* @param mixed[] $matrixData2 Matrix #2 |
|
* @return float |
|
*/ |
|
public static function SUMX2MY2($matrixData1, $matrixData2) |
|
{ |
|
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1); |
|
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2); |
|
$count = min(count($array1), count($array2)); |
|
|
|
$result = 0; |
|
for ($i = 0; $i < $count; ++$i) { |
|
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
|
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
|
$result += ($array1[$i] * $array1[$i]) - ($array2[$i] * $array2[$i]); |
|
} |
|
} |
|
|
|
return $result; |
|
} |
|
|
|
|
|
/** |
|
* SUMX2PY2 |
|
* |
|
* @param mixed[] $matrixData1 Matrix #1 |
|
* @param mixed[] $matrixData2 Matrix #2 |
|
* @return float |
|
*/ |
|
public static function SUMX2PY2($matrixData1, $matrixData2) |
|
{ |
|
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1); |
|
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2); |
|
$count = min(count($array1), count($array2)); |
|
|
|
$result = 0; |
|
for ($i = 0; $i < $count; ++$i) { |
|
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
|
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
|
$result += ($array1[$i] * $array1[$i]) + ($array2[$i] * $array2[$i]); |
|
} |
|
} |
|
|
|
return $result; |
|
} |
|
|
|
|
|
/** |
|
* SUMXMY2 |
|
* |
|
* @param mixed[] $matrixData1 Matrix #1 |
|
* @param mixed[] $matrixData2 Matrix #2 |
|
* @return float |
|
*/ |
|
public static function SUMXMY2($matrixData1, $matrixData2) |
|
{ |
|
$array1 = PHPExcel_Calculation_Functions::flattenArray($matrixData1); |
|
$array2 = PHPExcel_Calculation_Functions::flattenArray($matrixData2); |
|
$count = min(count($array1), count($array2)); |
|
|
|
$result = 0; |
|
for ($i = 0; $i < $count; ++$i) { |
|
if (((is_numeric($array1[$i])) && (!is_string($array1[$i]))) && |
|
((is_numeric($array2[$i])) && (!is_string($array2[$i])))) { |
|
$result += ($array1[$i] - $array2[$i]) * ($array1[$i] - $array2[$i]); |
|
} |
|
} |
|
|
|
return $result; |
|
} |
|
|
|
|
|
/** |
|
* TRUNC |
|
* |
|
* Truncates value to the number of fractional digits by number_digits. |
|
* |
|
* @param float $value |
|
* @param int $digits |
|
* @return float Truncated value |
|
*/ |
|
public static function TRUNC($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; |
|
} |
|
}
|
|
|