File Source for Calculation.php

<?php
/**
* PHPExcel
*
* Copyright (c) 2006 - 2010 PHPExcel
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*
* @category PHPExcel
* @package PHPExcel_Calculation
* @copyright Copyright (c) 2006 - 2010 PHPExcel (http://www.codeplex.com/PHPExcel)
* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
* @version 1.7.2, 2010-01-11
*/
/** PHPExcel root directory */
if (!defined('PHPEXCEL_ROOT')) {
/**
* @ignore
*/
define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../');
}
/** Matrix */
require_once PHPEXCEL_ROOT . 'PHPExcel/Shared/JAMA/Matrix.php';
/** PHPExcel_Calculation_Function */
require_once PHPEXCEL_ROOT . 'PHPExcel/Calculation/Function.php';
/** PHPExcel_Calculation_Functions */
require_once PHPEXCEL_ROOT . 'PHPExcel/Calculation/Functions.php';
/**
* PHPExcel_Calculation (Singleton)
*
* @category PHPExcel
* @package PHPExcel_Calculation
* @copyright Copyright (c) 2006 - 2010 PHPExcel (http://www.codeplex.com/PHPExcel)
*/
class PHPExcel_Calculation {
/** Constants */
const CALCULATION_REGEXP_NUMBER = '[-+]?\d*\.?\d+(e[-+]?\d+)?';
// String operand
const CALCULATION_REGEXP_STRING = '"(?:[^"]|"")*"';
// Opening bracket
const CALCULATION_REGEXP_OPENBRACE = '\(';
// Function
const CALCULATION_REGEXP_FUNCTION = '@?([A-Z][A-Z0-9\.]*)[\s]*\(';
// Cell reference (cell or range of cells, with or without a sheet reference)
const CALCULATION_REGEXP_CELLREF = '(((\w*)|(\'[^\']*\')|(\"[^\"]*\"))!)?\$?([a-z]+)\$?(\d+)';
// Named Range of cells
const CALCULATION_REGEXP_NAMEDRANGE = '(((\w*)|(\'.*\')|(\".*\"))!)?([_A-Z][_A-Z0-9]*)';
// Error
const CALCULATION_REGEXP_ERROR = '\#[A-Z][A-Z0_\/]*[!\?]?';
/** constants */
const RETURN_ARRAY_AS_ERROR = 'error';
const RETURN_ARRAY_AS_VALUE = 'value';
const RETURN_ARRAY_AS_ARRAY = 'array';
private static $returnArrayAsType = self::RETURN_ARRAY_AS_VALUE;
/**
* Instance of this class
*
* @access private
* @var PHPExcel_Calculation
*/
private static $_instance;
/**
* Calculation cache
*
* @access private
* @var array
*/
private $_calculationCache = array ();
/**
* Calculation cache enabled
*
* @access private
* @var boolean
*/
private $_calculationCacheEnabled = true;
/**
* Calculation cache expiration time
*
* @access private
* @var float
*/
private $_calculationCacheExpirationTime = 2.5;
/**
* List of operators that can be used within formulae
*
* @access private
* @var array
*/
private $_operators = array('+', '-', '*', '/', '^', '&', '%', '~', '>', '<', '=', '>=', '<=', '<>', '|', ':');
/**
* List of binary operators (those that expect two operands)
*
* @access private
* @var array
*/
private $_binaryOperators = array('+', '-', '*', '/', '^', '&', '>', '<', '=', '>=', '<=', '<>', '|', ':');
public $suppressFormulaErrors = false;
public $formulaError = null;
public $writeDebugLog = false;
private $debugLogStack = array();
public $debugLog = array();
// Constant conversion from text name/value to actual (datatyped) value
private $_ExcelConstants = array('TRUE' => True,
'FALSE' => False,
'NULL' => Null
);
// PHPExcel functions
private $_PHPExcelFunctions = array( // PHPExcel functions
'ABS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'abs',
'argumentCount' => '1'
),
'ACCRINT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::ACCRINT',
'argumentCount' => '4-7'
),
'ACCRINTM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::ACCRINTM',
'argumentCount' => '3-5'
),
'ACOS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'acos',
'argumentCount' => '1'
),
'ACOSH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'acosh',
'argumentCount' => '1'
),
'ADDRESS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::CELL_ADDRESS',
'argumentCount' => '2-5'
),
'AMORDEGRC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::AMORDEGRC',
'argumentCount' => '6,7'
),
'AMORLINC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::AMORLINC',
'argumentCount' => '6,7'
),
'AND' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGICAL_AND',
'argumentCount' => '1+'
),
'AREAS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'ASC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'ASIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'asin',
'argumentCount' => '1'
),
'ASINH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'asinh',
'argumentCount' => '1'
),
'ATAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'atan',
'argumentCount' => '1'
),
'ATAN2' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::REVERSE_ATAN2',
'argumentCount' => '2'
),
'ATANH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'atanh',
'argumentCount' => '1'
),
'AVEDEV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::AVEDEV',
'argumentCount' => '1+'
),
'AVERAGE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::AVERAGE',
'argumentCount' => '1+'
),
'AVERAGEA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::AVERAGEA',
'argumentCount' => '1+'
),
'AVERAGEIF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2,3'
),
'AVERAGEIFS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3+'
),
'BAHTTEXT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'BESSELI' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::BESSELI',
'argumentCount' => '2'
),
'BESSELJ' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::BESSELJ',
'argumentCount' => '2'
),
'BESSELK' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::BESSELK',
'argumentCount' => '2'
),
'BESSELY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::BESSELY',
'argumentCount' => '2'
),
'BETADIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::BETADIST',
'argumentCount' => '3-5'
),
'BETAINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::BETAINV',
'argumentCount' => '3-5'
),
'BIN2DEC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::BINTODEC',
'argumentCount' => '1'
),
'BIN2HEX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::BINTOHEX',
'argumentCount' => '1,2'
),
'BIN2OCT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::BINTOOCT',
'argumentCount' => '1,2'
),
'BINOMDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::BINOMDIST',
'argumentCount' => '4'
),
'CEILING' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::CEILING',
'argumentCount' => '2'
),
'CELL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1,2'
),
'CHAR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::CHARACTER',
'argumentCount' => '1'
),
'CHIDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CHIDIST',
'argumentCount' => '2'
),
'CHIINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CHIINV',
'argumentCount' => '2'
),
'CHITEST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2'
),
'CHOOSE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::CHOOSE',
'argumentCount' => '2+'
),
'CLEAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::TRIMNONPRINTABLE',
'argumentCount' => '1'
),
'CODE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::ASCIICODE',
'argumentCount' => '1'
),
'COLUMN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::COLUMN',
'argumentCount' => '-1',
'passByReference' => array(true)
),
'COLUMNS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::COLUMNS',
'argumentCount' => '1'
),
'COMBIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::COMBIN',
'argumentCount' => '2'
),
'COMPLEX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::COMPLEX',
'argumentCount' => '2,3'
),
'CONCATENATE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::CONCATENATE',
'argumentCount' => '1+'
),
'CONFIDENCE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CONFIDENCE',
'argumentCount' => '3'
),
'CONVERT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::CONVERTUOM',
'argumentCount' => '3'
),
'CORREL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CORREL',
'argumentCount' => '2'
),
'COS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'cos',
'argumentCount' => '1'
),
'COSH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'cosh',
'argumentCount' => '1'
),
'COUNT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::COUNT',
'argumentCount' => '1+'
),
'COUNTA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::COUNTA',
'argumentCount' => '1+'
),
'COUNTBLANK' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::COUNTBLANK',
'argumentCount' => '1'
),
'COUNTIF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::COUNTIF',
'argumentCount' => '2'
),
'COUNTIFS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2'
),
'COUPDAYBS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3,4'
),
'COUPDAYS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3,4'
),
'COUPDAYSNC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3,4'
),
'COUPNCD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3,4'
),
'COUPNUM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::COUPNUM',
'argumentCount' => '3,4'
),
'COUPPCD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3,4'
),
'COVAR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::COVAR',
'argumentCount' => '2'
),
'CRITBINOM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CRITBINOM',
'argumentCount' => '3'
),
'CUBEKPIMEMBER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'CUBEMEMBER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'CUBEMEMBERPROPERTY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'CUBERANKEDMEMBER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'CUBESET' => array('category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'CUBESETCOUNT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'CUBEVALUE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'CUMIPMT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CUMIPMT',
'argumentCount' => '6'
),
'CUMPRINC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CUMPRINC',
'argumentCount' => '6'
),
'DATE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DATE',
'argumentCount' => '3'
),
'DATEDIF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DATEDIF',
'argumentCount' => '2,3'
),
'DATEVALUE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DATEVALUE',
'argumentCount' => '1'
),
'DAVERAGE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DAY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DAYOFMONTH',
'argumentCount' => '1'
),
'DAYS360' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DAYS360',
'argumentCount' => '2,3'
),
'DB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DB',
'argumentCount' => '4,5'
),
'DCOUNT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DCOUNTA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DDB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DDB',
'argumentCount' => '4,5'
),
'DEC2BIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::DECTOBIN',
'argumentCount' => '1,2'
),
'DEC2HEX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::DECTOHEX',
'argumentCount' => '1,2'
),
'DEC2OCT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::DECTOOCT',
'argumentCount' => '1,2'
),
'DEGREES' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'rad2deg',
'argumentCount' => '1'
),
'DELTA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::DELTA',
'argumentCount' => '1,2'
),
'DEVSQ' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DEVSQ',
'argumentCount' => '1+'
),
'DGET' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DISC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DISC',
'argumentCount' => '4,5'
),
'DMAX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DMIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DOLLAR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::DOLLAR',
'argumentCount' => '1,2'
),
'DOLLARDE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DOLLARDE',
'argumentCount' => '2'
),
'DOLLARFR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DOLLARFR',
'argumentCount' => '2'
),
'DPRODUCT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DSTDEV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DSTDEVP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DSUM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DURATION' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '5,6'
),
'DVAR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'DVARP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'EDATE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::EDATE',
'argumentCount' => '2'
),
'EFFECT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::EFFECT',
'argumentCount' => '2'
),
'EOMONTH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::EOMONTH',
'argumentCount' => '2'
),
'ERF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::ERF',
'argumentCount' => '1,2'
),
'ERFC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::ERFC',
'argumentCount' => '1'
),
'ERROR.TYPE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::ERROR_TYPE',
'argumentCount' => '1'
),
'EVEN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::EVEN',
'argumentCount' => '1'
),
'EXACT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2'
),
'EXP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'exp',
'argumentCount' => '1'
),
'EXPONDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::EXPONDIST',
'argumentCount' => '3'
),
'FACT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::FACT',
'argumentCount' => '1'
),
'FACTDOUBLE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::FACTDOUBLE',
'argumentCount' => '1'
),
'FALSE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGICAL_FALSE',
'argumentCount' => '0'
),
'FDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3'
),
'FIND' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::SEARCHSENSITIVE',
'argumentCount' => '2,3'
),
'FINDB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::SEARCHSENSITIVE',
'argumentCount' => '2,3'
),
'FINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3'
),
'FISHER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::FISHER',
'argumentCount' => '1'
),
'FISHERINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::FISHERINV',
'argumentCount' => '1'
),
'FIXED' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::FIXEDFORMAT',
'argumentCount' => '1-3'
),
'FLOOR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::FLOOR',
'argumentCount' => '2'
),
'FORECAST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::FORECAST',
'argumentCount' => '3'
),
'FREQUENCY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2'
),
'FTEST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2'
),
'FV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::FV',
'argumentCount' => '3-5'
),
'FVSCHEDULE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::FVSCHEDULE',
'argumentCount' => '2'
),
'GAMMADIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::GAMMADIST',
'argumentCount' => '4'
),
'GAMMAINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::GAMMAINV',
'argumentCount' => '3'
),
'GAMMALN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::GAMMALN',
'argumentCount' => '1'
),
'GCD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::GCD',
'argumentCount' => '1+'
),
'GEOMEAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::GEOMEAN',
'argumentCount' => '1+'
),
'GESTEP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::GESTEP',
'argumentCount' => '1,2'
),
'GETPIVOTDATA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2+'
),
'GROWTH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::GROWTH',
'argumentCount' => '1-4'
),
'HARMEAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::HARMEAN',
'argumentCount' => '1+'
),
'HEX2BIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::HEXTOBIN',
'argumentCount' => '1,2'
),
'HEX2DEC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::HEXTODEC',
'argumentCount' => '1'
),
'HEX2OCT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::HEXTOOCT',
'argumentCount' => '1,2'
),
'HLOOKUP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3,4'
),
'HOUR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::HOUROFDAY',
'argumentCount' => '1'
),
'HYPERLINK' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1,2'
),
'HYPGEOMDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::HYPGEOMDIST',
'argumentCount' => '4'
),
'IF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STATEMENT_IF',
'argumentCount' => '1-3'
),
'IFERROR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STATEMENT_IFERROR',
'argumentCount' => '2'
),
'IMABS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMABS',
'argumentCount' => '1'
),
'IMAGINARY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMAGINARY',
'argumentCount' => '1'
),
'IMARGUMENT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMARGUMENT',
'argumentCount' => '1'
),
'IMCONJUGATE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMCONJUGATE',
'argumentCount' => '1'
),
'IMCOS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMCOS',
'argumentCount' => '1'
),
'IMDIV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMDIV',
'argumentCount' => '2'
),
'IMEXP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMEXP',
'argumentCount' => '1'
),
'IMLN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMLN',
'argumentCount' => '1'
),
'IMLOG10' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMLOG10',
'argumentCount' => '1'
),
'IMLOG2' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMLOG2',
'argumentCount' => '1'
),
'IMPOWER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMPOWER',
'argumentCount' => '2'
),
'IMPRODUCT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMPRODUCT',
'argumentCount' => '1+'
),
'IMREAL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMREAL',
'argumentCount' => '1'
),
'IMSIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMSIN',
'argumentCount' => '1'
),
'IMSQRT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMSQRT',
'argumentCount' => '1'
),
'IMSUB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMSUB',
'argumentCount' => '2'
),
'IMSUM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::IMSUM',
'argumentCount' => '1+'
),
'INDEX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::INDEX',
'argumentCount' => '1-4'
),
'INDIRECT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::INDIRECT',
'argumentCount' => '1,2',
'passCellReference'=> true
),
'INFO' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'INT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::INTVALUE',
'argumentCount' => '1'
),
'INTERCEPT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::INTERCEPT',
'argumentCount' => '2'
),
'INTRATE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::INTRATE',
'argumentCount' => '4,5'
),
'IPMT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::IPMT',
'argumentCount' => '4-6'
),
'IRR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::IRR',
'argumentCount' => '1,2'
),
'ISBLANK' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_BLANK',
'argumentCount' => '1'
),
'ISERR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_ERR',
'argumentCount' => '1'
),
'ISERROR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_ERROR',
'argumentCount' => '1'
),
'ISEVEN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_EVEN',
'argumentCount' => '1'
),
'ISLOGICAL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_LOGICAL',
'argumentCount' => '1'
),
'ISNA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_NA',
'argumentCount' => '1'
),
'ISNONTEXT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_NONTEXT',
'argumentCount' => '1'
),
'ISNUMBER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_NUMBER',
'argumentCount' => '1'
),
'ISODD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_ODD',
'argumentCount' => '1'
),
'ISPMT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::ISPMT',
'argumentCount' => '4'
),
'ISREF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'ISTEXT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::IS_TEXT',
'argumentCount' => '1'
),
'JIS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'KURT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::KURT',
'argumentCount' => '1+'
),
'LARGE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LARGE',
'argumentCount' => '2'
),
'LCM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::LCM',
'argumentCount' => '1+'
),
'LEFT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::LEFT',
'argumentCount' => '1,2'
),
'LEFTB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::LEFT',
'argumentCount' => '1,2'
),
'LEN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::STRINGLENGTH',
'argumentCount' => '1'
),
'LENB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::STRINGLENGTH',
'argumentCount' => '1'
),
'LINEST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LINEST',
'argumentCount' => '1-4'
),
'LN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'log',
'argumentCount' => '1'
),
'LOG' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::LOG_BASE',
'argumentCount' => '1,2'
),
'LOG10' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'log10',
'argumentCount' => '1'
),
'LOGEST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGEST',
'argumentCount' => '1-4'
),
'LOGINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGINV',
'argumentCount' => '3'
),
'LOGNORMDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGNORMDIST',
'argumentCount' => '3'
),
'LOOKUP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::LOOKUP',
'argumentCount' => '2,3'
),
'LOWER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::LOWERCASE',
'argumentCount' => '1'
),
'MATCH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::MATCH',
'argumentCount' => '2,3'
),
'MAX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::MAX',
'argumentCount' => '1+'
),
'MAXA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::MAXA',
'argumentCount' => '1+'
),
'MAXIF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2+'
),
'MDETERM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::MDETERM',
'argumentCount' => '1'
),
'MDURATION' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '5,6'
),
'MEDIAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::MEDIAN',
'argumentCount' => '1+'
),
'MEDIANIF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2+'
),
'MID' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::MID',
'argumentCount' => '3'
),
'MIDB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::MID',
'argumentCount' => '3'
),
'MIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::MIN',
'argumentCount' => '1+'
),
'MINA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::MINA',
'argumentCount' => '1+'
),
'MINIF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2+'
),
'MINUTE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::MINUTEOFHOUR',
'argumentCount' => '1'
),
'MINVERSE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::MINVERSE',
'argumentCount' => '1'
),
'MIRR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::MIRR',
'argumentCount' => '3'
),
'MMULT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::MMULT',
'argumentCount' => '2'
),
'MOD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::MOD',
'argumentCount' => '2'
),
'MODE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::MODE',
'argumentCount' => '1+'
),
'MONTH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::MONTHOFYEAR',
'argumentCount' => '1'
),
'MROUND' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::MROUND',
'argumentCount' => '2'
),
'MULTINOMIAL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::MULTINOMIAL',
'argumentCount' => '1+'
),
'N' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'NA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::NA',
'argumentCount' => '0'
),
'NEGBINOMDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NEGBINOMDIST',
'argumentCount' => '3'
),
'NETWORKDAYS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::NETWORKDAYS',
'argumentCount' => '2+'
),
'NOMINAL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NOMINAL',
'argumentCount' => '2'
),
'NORMDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NORMDIST',
'argumentCount' => '4'
),
'NORMINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NORMINV',
'argumentCount' => '3'
),
'NORMSDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NORMSDIST',
'argumentCount' => '1'
),
'NORMSINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NORMSINV',
'argumentCount' => '1'
),
'NOT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGICAL_NOT',
'argumentCount' => '1'
),
'NOW' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DATETIMENOW',
'argumentCount' => '0'
),
'NPER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NPER',
'argumentCount' => '3-5'
),
'NPV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::NPV',
'argumentCount' => '2+'
),
'OCT2BIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::OCTTOBIN',
'argumentCount' => '1,2'
),
'OCT2DEC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::OCTTODEC',
'argumentCount' => '1'
),
'OCT2HEX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
'functionCall' => 'PHPExcel_Calculation_Functions::OCTTOHEX',
'argumentCount' => '1,2'
),
'ODD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::ODD',
'argumentCount' => '1'
),
'ODDFPRICE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '8,9'
),
'ODDFYIELD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '8,9'
),
'ODDLPRICE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '7,8'
),
'ODDLYIELD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '7,8'
),
'OFFSET' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::OFFSET',
'argumentCount' => '3,5',
'passCellReference'=> true,
'passByReference' => array(true)
),
'OR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGICAL_OR',
'argumentCount' => '1+'
),
'PEARSON' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::CORREL',
'argumentCount' => '2'
),
'PERCENTILE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PERCENTILE',
'argumentCount' => '2'
),
'PERCENTRANK' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PERCENTRANK',
'argumentCount' => '2,3'
),
'PERMUT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PERMUT',
'argumentCount' => '2'
),
'PHONETIC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'PI' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'pi',
'argumentCount' => '0'
),
'PMT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PMT',
'argumentCount' => '3-5'
),
'POISSON' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::POISSON',
'argumentCount' => '3'
),
'POWER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::POWER',
'argumentCount' => '2'
),
'PPMT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PPMT',
'argumentCount' => '4-6'
),
'PRICE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '6,7'
),
'PRICEDISC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PRICEDISC',
'argumentCount' => '4,5'
),
'PRICEMAT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PRICEMAT',
'argumentCount' => '5,6'
),
'PROB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '3,4'
),
'PRODUCT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::PRODUCT',
'argumentCount' => '1+'
),
'PROPER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::PROPERCASE',
'argumentCount' => '1'
),
'PV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::PV',
'argumentCount' => '3-5'
),
'QUARTILE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::QUARTILE',
'argumentCount' => '2'
),
'QUOTIENT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::QUOTIENT',
'argumentCount' => '2'
),
'RADIANS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'deg2rad',
'argumentCount' => '1'
),
'RAND' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::RAND',
'argumentCount' => '0'
),
'RANDBETWEEN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::RAND',
'argumentCount' => '2'
),
'RANK' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::RANK',
'argumentCount' => '2,3'
),
'RATE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::RATE',
'argumentCount' => '3-6'
),
'RECEIVED' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::RECEIVED',
'argumentCount' => '4-5'
),
'REPLACE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::REPLACE',
'argumentCount' => '4'
),
'REPLACEB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::REPLACE',
'argumentCount' => '4'
),
'REPT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'str_repeat',
'argumentCount' => '2'
),
'RIGHT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::RIGHT',
'argumentCount' => '1,2'
),
'RIGHTB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::RIGHT',
'argumentCount' => '1,2'
),
'ROMAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::ROMAN',
'argumentCount' => '1,2'
),
'ROUND' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'round',
'argumentCount' => '2'
),
'ROUNDDOWN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::ROUNDDOWN',
'argumentCount' => '2'
),
'ROUNDUP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::ROUNDUP',
'argumentCount' => '2'
),
'ROW' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::ROW',
'argumentCount' => '-1',
'passByReference' => array(true)
),
'ROWS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::ROWS',
'argumentCount' => '1'
),
'RSQ' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::RSQ',
'argumentCount' => '2'
),
'RTD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1+'
),
'SEARCH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::SEARCHINSENSITIVE',
'argumentCount' => '2,3'
),
'SEARCHB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::SEARCHINSENSITIVE',
'argumentCount' => '2,3'
),
'SECOND' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::SECONDOFMINUTE',
'argumentCount' => '1'
),
'SERIESSUM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SERIESSUM',
'argumentCount' => '4'
),
'SIGN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SIGN',
'argumentCount' => '1'
),
'SIN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'sin',
'argumentCount' => '1'
),
'SINH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'sinh',
'argumentCount' => '1'
),
'SKEW' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::SKEW',
'argumentCount' => '1+'
),
'SLN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::SLN',
'argumentCount' => '3'
),
'SLOPE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::SLOPE',
'argumentCount' => '2'
),
'SMALL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::SMALL',
'argumentCount' => '2'
),
'SQRT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'sqrt',
'argumentCount' => '1'
),
'SQRTPI' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SQRTPI',
'argumentCount' => '1'
),
'STANDARDIZE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STANDARDIZE',
'argumentCount' => '3'
),
'STDEV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STDEV',
'argumentCount' => '1+'
),
'STDEVA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STDEVA',
'argumentCount' => '1+'
),
'STDEVP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STDEVP',
'argumentCount' => '1+'
),
'STDEVPA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STDEVPA',
'argumentCount' => '1+'
),
'STEYX' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::STEYX',
'argumentCount' => '2'
),
'SUBSTITUTE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::SUBSTITUTE',
'argumentCount' => '3,4'
),
'SUBTOTAL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUBTOTAL',
'argumentCount' => '2+'
),
'SUM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUM',
'argumentCount' => '1+'
),
'SUMIF' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUMIF',
'argumentCount' => '2,3'
),
'SUMIFS' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '?'
),
'SUMPRODUCT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUMPRODUCT',
'argumentCount' => '1+'
),
'SUMSQ' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUMSQ',
'argumentCount' => '1+'
),
'SUMX2MY2' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUMX2MY2',
'argumentCount' => '2'
),
'SUMX2PY2' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUMX2PY2',
'argumentCount' => '2'
),
'SUMXMY2' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::SUMXMY2',
'argumentCount' => '2'
),
'SYD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::SYD',
'argumentCount' => '4'
),
'T' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::RETURNSTRING',
'argumentCount' => '1'
),
'TAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'tan',
'argumentCount' => '1'
),
'TANH' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'tanh',
'argumentCount' => '1'
),
'TBILLEQ' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::TBILLEQ',
'argumentCount' => '3'
),
'TBILLPRICE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::TBILLPRICE',
'argumentCount' => '3'
),
'TBILLYIELD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::TBILLYIELD',
'argumentCount' => '3'
),
'TDIST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::TDIST',
'argumentCount' => '3'
),
'TEXT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::TEXTFORMAT',
'argumentCount' => '2'
),
'TIME' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::TIME',
'argumentCount' => '3'
),
'TIMEVALUE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::TIMEVALUE',
'argumentCount' => '1'
),
'TINV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::TINV',
'argumentCount' => '2'
),
'TODAY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DATENOW',
'argumentCount' => '0'
),
'TRANSPOSE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::TRANSPOSE',
'argumentCount' => '1'
),
'TREND' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::TREND',
'argumentCount' => '1-4'
),
'TRIM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::TRIMSPACES',
'argumentCount' => '1'
),
'TRIMMEAN' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::TRIMMEAN',
'argumentCount' => '2'
),
'TRUE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::LOGICAL_TRUE',
'argumentCount' => '0'
),
'TRUNC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
'functionCall' => 'PHPExcel_Calculation_Functions::TRUNC',
'argumentCount' => '1,2'
),
'TTEST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '4'
),
'TYPE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'UPPER' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::UPPERCASE',
'argumentCount' => '1'
),
'USDOLLAR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '2'
),
'VALUE' => array('category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '1'
),
'VAR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::VARFunc',
'argumentCount' => '1+'
),
'VARA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::VARA',
'argumentCount' => '1+'
),
'VARP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::VARP',
'argumentCount' => '1+'
),
'VARPA' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::VARPA',
'argumentCount' => '1+'
),
'VDB' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '5-7'
),
'VERSION' => array('category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
'functionCall' => 'PHPExcel_Calculation_Functions::VERSION',
'argumentCount' => '0'
),
'VLOOKUP' => array('category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
'functionCall' => 'PHPExcel_Calculation_Functions::VLOOKUP',
'argumentCount' => '3,4'
),
'WEEKDAY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::DAYOFWEEK',
'argumentCount' => '1,2'
),
'WEEKNUM' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::WEEKOFYEAR',
'argumentCount' => '1,2'
),
'WEIBULL' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::WEIBULL',
'argumentCount' => '4'
),
'WORKDAY' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::WORKDAY',
'argumentCount' => '2+'
),
'XIRR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::XIRR',
'argumentCount' => '2,3'
),
'XNPV' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::XNPV',
'argumentCount' => '3'
),
'YEAR' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::YEAR',
'argumentCount' => '1'
),
'YEARFRAC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
'functionCall' => 'PHPExcel_Calculation_Functions::YEARFRAC',
'argumentCount' => '2,3'
),
'YIELD' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
'argumentCount' => '6,7'
),
'YIELDDISC' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::YIELDDISC',
'argumentCount' => '4,5'
),
'YIELDMAT' => array('category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
'functionCall' => 'PHPExcel_Calculation_Functions::YIELDMAT',
'argumentCount' => '5,6'
),
'ZTEST' => array('category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
'functionCall' => 'PHPExcel_Calculation_Functions::ZTEST',
'argumentCount' => '2-3'
)
);
// Internal functions used for special control purposes
private $_controlFunctions = array(
'MKMATRIX' => array('argumentCount' => '*',
'functionCall' => 'self::_mkMatrix'
)
);
/**
* Get an instance of this class
*
* @access public
* @return PHPExcel_Calculation
*/
public static function getInstance() {
if (!isset(self::$_instance) || is_null(self::$_instance)) {
self::$_instance = new PHPExcel_Calculation();
}
return self::$_instance;
} // function getInstance()
/**
* __clone implementation. Cloning should not be allowed in a Singleton!
*
* @access public
* @throws Exception
*/
public final function __clone() {
throw new Exception ('Cloning a Singleton is not allowed!');
} // function __clone()
/**
* Set the Array Return Type (Array or Value of first element in the array)
*
* @access public
* @param string $returnType Array return type
* @return boolean Success or failure
*/
public static function setArrayReturnType($returnType) {
if (($returnType == self::RETURN_ARRAY_AS_VALUE) ||
($returnType == self::RETURN_ARRAY_AS_ERROR) ||
($returnType == self::RETURN_ARRAY_AS_ARRAY)) {
self::$returnArrayAsType = $returnType;
return True;
}
return False;
} // function setExcelCalendar()
/**
* Return the Array Return Type (Array or Value of first element in the array)
*
* @access public
* @return string $returnType Array return type
*/
public static function getArrayReturnType() {
return self::$returnArrayAsType;
} // function getExcelCalendar()
/**
* Is calculation caching enabled?
*
* @access public
* @return boolean
*/
public function getCalculationCacheEnabled() {
return $this->_calculationCacheEnabled;
} // function getCalculationCacheEnabled()
/**
* Enable/disable calculation cache
*
* @access public
* @param boolean $pValue
*/
public function setCalculationCacheEnabled($pValue = true) {
$this->_calculationCacheEnabled = $pValue;
$this->clearCalculationCache();
} // function setCalculationCacheEnabled()
/**
* Enable calculation cache
*/
public function enableCalculationCache() {
$this->setCalculationCacheEnabled(true);
} // function enableCalculationCache()
/**
* Disable calculation cache
*/
public function disableCalculationCache() {
$this->setCalculationCacheEnabled(false);
} // function disableCalculationCache()
/**
* Clear calculation cache
*/
public function clearCalculationCache() {
$this->_calculationCache = array();
} // function clearCalculationCache()
/**
* Get calculation cache expiration time
*
* @return float
*/
public function getCalculationCacheExpirationTime() {
return $this->_calculationCacheExpirationTime;
} // getCalculationCacheExpirationTime()
/**
* Set calculation cache expiration time
*
* @param float $pValue
*/
public function setCalculationCacheExpirationTime($pValue = 2.5) {
$this->_calculationCacheExpirationTime = $pValue;
} // function setCalculationCacheExpirationTime()
/**
* Wrap string values in quotes
*
* @param mixed $value
* @return mixed
*/
public static function _wrapResult($value) {
if (is_string($value)) {
// Error values cannot be "wrapped"
if (preg_match('/^'.self::CALCULATION_REGEXP_ERROR.'$/i', $value, $match)) {
// Return Excel errors "as is"
return $value;
}
// Return strings wrapped in quotes
return '"'.$value.'"';
// Convert numeric errors to NaN error
} else if((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {
return PHPExcel_Calculation_Functions::NaN();
}
return $value;
} // function _wrapResult()
/**
* Remove quotes used as a wrapper to identify string values
*
* @param mixed $value
* @return mixed
*/
public static function _unwrapResult($value) {
if (is_string($value)) {
if ((strlen($value) > 0) && ($value{0} == '"') && (substr($value,-1) == '"')) {
return substr($value,1,-1);
}
// Convert numeric errors to NaN error
} else if((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {
return PHPExcel_Calculation_Functions::NaN();
}
return $value;
} // function _unwrapResult()
/**
* Calculate cell value (using formula from a cell ID)
* Retained for backward compatibility
*
* @access public
* @param PHPExcel_Cell $pCell Cell to calculate
* @return mixed
* @throws Exception
*/
public function calculate(PHPExcel_Cell $pCell = null) {
return $this->calculateCellValue($pCell);
} // function calculate()
/**
* Calculate the value of a cell formula
*
* @access public
* @param PHPExcel_Cell $pCell Cell to calculate
* @param Boolean $resetLog Flag indicating whether the debug log should be reset or not
* @return mixed
* @throws Exception
*/
public function calculateCellValue(PHPExcel_Cell $pCell = null, $resetLog = true) {
if ($resetLog) {
// Initialise the logging settings if requested
$this->formulaError = null;
$this->debugLog = $this->debugLogStack = array();
$returnArrayAsType = self::$returnArrayAsType;
self::$returnArrayAsType = self::RETURN_ARRAY_AS_ARRAY;
}
// Read the formula from the cell
if (is_null($pCell)) {
return null;
}
if ($resetLog) {
self::$returnArrayAsType = $returnArrayAsType;
}
// Execute the calculation for the cell formula
$result = self::_unwrapResult($this->_calculateFormulaValue($pCell->getValue(), $pCell->getCoordinate(), $pCell));
if ((is_array($result)) && (self::$returnArrayAsType != self::RETURN_ARRAY_AS_ARRAY)) {
$testResult = PHPExcel_Calculation_Functions::flattenArray($result);
if (self::$returnArrayAsType == self::RETURN_ARRAY_AS_ERROR) {
return PHPExcel_Calculation_Functions::VALUE();
}
// If there's only a single cell in the array, then we allow it
if (count($testResult) != 1) {
// If keys are numeric, then it's a matrix result rather than a cell range result, so we permit it
$r = array_shift(array_keys($result));
if (!is_numeric($r)) { return PHPExcel_Calculation_Functions::VALUE(); }
if (is_array($result[$r])) {
$c = array_shift(array_keys($result[$r]));
if (!is_numeric($c)) {
return PHPExcel_Calculation_Functions::VALUE();
}
}
}
$result = array_shift($testResult);
}
if (is_null($result)) {
return 0;
} elseif((is_float($result)) && ((is_nan($result)) || (is_infinite($result)))) {
return PHPExcel_Calculation_Functions::NaN();
}
return $result;
} // function calculateCellValue(
/**
* Validate and parse a formula string
*
* @param string $formula Formula to parse
* @return array
* @throws Exception
*/
public function parseFormula($formula) {
// Basic validation that this is indeed a formula
// We return an empty array if not
$formula = trim($formula);
if ($formula{0} != '=') return array();
$formula = trim(substr($formula,1));
$formulaLength = strlen($formula);
if ($formulaLength < 1) return array();
// Parse the formula and return the token stack
return $this->_parseFormula($formula);
} // function parseFormula()
/**
* Calculate the value of a formula
*
* @param string $formula Formula to parse
* @return mixed
* @throws Exception
*/
public function calculateFormula($formula, $cellID=null, PHPExcel_Cell $pCell = null) {
// Initialise the logging settings
$this->formulaError = null;
$this->debugLog = $this->debugLogStack = array();
// Disable calculation cacheing because it only applies to cell calculations, not straight formulae
// But don't actually flush any cache
$resetCache = $this->getCalculationCacheEnabled();
$this->_calculationCacheEnabled = false;
// Execute the calculation
$result = self::_unwrapResult($this->_calculateFormulaValue($formula, $cellID, $pCell));
// Reset calculation cacheing to its previous state
$this->_calculationCacheEnabled = $resetCache;
return $result;
} // function calculateFormula()
/**
* Parse a cell formula and calculate its value
*
* @param string $formula The formula to parse and calculate
* @param string $cellID The ID (e.g. A3) of the cell that we are calculating
* @param PHPExcel_Cell $pCell Cell to calculate
* @return mixed
* @throws Exception
*/
public function _calculateFormulaValue($formula, $cellID=null, PHPExcel_Cell $pCell = null) {
// echo ''.$cellID.' ';
$cellValue = '';
// Basic validation that this is indeed a formula
// We simply return the "cell value" (formula) if not
$formula = trim($formula);
if ($formula{0} != '=') return self::_wrapResult($formula);
$formula = trim(substr($formula,1));
$formulaLength = strlen($formula);
if ($formulaLength < 1) return self::_wrapResult($formula);
$wsTitle = 'Wrk';
if (!is_null($pCell)) {
$wsTitle = urlencode($pCell->getParent()->getTitle());
}
// Is calculation cacheing enabled?
if (!is_null($cellID)) {
if ($this->_calculationCacheEnabled) {
// Is the value present in calculation cache?
// echo 'Testing cache value ';
if (isset($this->_calculationCache[$wsTitle][$cellID])) {
// echo 'Value is in cache ';
$this->_writeDebug('Testing cache value for cell '.$cellID);
// Is cache still valid?
if ((time() + microtime(true)) - $this->_calculationCache[$wsTitle][$cellID]['time'] < $this->_calculationCacheExpirationTime) {
// echo 'Cache time is still valid ';
$this->_writeDebug('Retrieving value for '.$cellID.' from cache');
// Return the cached result
$returnValue = $this->_calculationCache[$wsTitle][$cellID]['data'];
// echo 'Retrieving data value of '.$returnValue.' for '.$cellID.' from cache ';
if (is_array($returnValue)) {
return array_shift(PHPExcel_Calculation_Functions::flattenArray($returnValue));
}
return $returnValue;
} else {
// echo 'Cache has expired ';
$this->_writeDebug('Cache value for '.$cellID.' has expired');
// Clear the cache if it's no longer valid
unset($this->_calculationCache[$wsTitle][$cellID]);
}
}
}
}
$this->debugLogStack[] = $cellID;
// Parse the formula onto the token stack and calculate the value
$cellValue = $this->_processTokenStack($this->_parseFormula($formula), $cellID, $pCell);
array_pop($this->debugLogStack);
// Save to calculation cache
if (!is_null($cellID)) {
if ($this->_calculationCacheEnabled) {
$this->_calculationCache[$wsTitle][$cellID]['time'] = (time() + microtime(true));
$this->_calculationCache[$wsTitle][$cellID]['data'] = $cellValue;
}
}
// Return the calculated value
return $cellValue;
} // function _calculateFormulaValue()
/**
* Ensure that paired matrix operands are both matrices and of the same size
*
* @param mixed &$operand1 First matrix operand
* @param mixed &$operand2 Second matrix operand
* @param integer $resize Flag indicating whether the matrices should be resized to match
* and (if so), whether the smaller dimension should grow or the
* larger should shrink.
* 0 = no resize
* 1 = shrink to fit
* 2 = extend to fit
*/
private static function _checkMatrixOperands(&$operand1,&$operand2,$resize = 1) {
// Examine each of the two operands, and turn them into an array if they aren't one already
// Note that this function should only be called if one or both of the operand is already an array
if (!is_array($operand1)) {
list($matrixRows,$matrixColumns) = self::_getMatrixDimensions($operand2);
$operand1 = array_fill(0,$matrixRows,array_fill(0,$matrixColumns,$operand1));
$resize = 0;
} elseif (!is_array($operand2)) {
list($matrixRows,$matrixColumns) = self::_getMatrixDimensions($operand1);
$operand2 = array_fill(0,$matrixRows,array_fill(0,$matrixColumns,$operand2));
$resize = 0;
}
list($matrix1Rows,$matrix1Columns) = self::_getMatrixDimensions($operand1);
list($matrix2Rows,$matrix2Columns) = self::_getMatrixDimensions($operand2);
if (($matrix1Rows == $matrix2Columns) && ($matrix2Rows == $matrix1Columns)) {
$resize = 1;
}
if ($resize == 2) {
// Given two matrices of (potentially) unequal size, convert the smaller in each dimension to match the larger
self::_resizeMatricesExtend($operand1,$operand2);
} elseif ($resize == 1) {
// Given two matrices of (potentially) unequal size, convert the larger in each dimension to match the smaller
self::_resizeMatricesShrink($operand1,$operand2);
}
} // function _checkMatrixOperands()
/**
* Read the dimensions of a matrix, and re-index it with straight numeric keys starting from row 0, column 0
*
* @param mixed &$matrix matrix operand
* @return array An array comprising the number of rows, and number of columns
*/
public static function _getMatrixDimensions(&$matrix) {
$matrixRows = count($matrix);
$matrixColumns = 0;
foreach($matrix as $rowKey => $rowValue) {
$colCount = count($rowValue);
if ($colCount > $matrixColumns) {
$matrixColumns = $colCount;
}
$matrix[$rowKey] = array_values($rowValue);
}
$matrix = array_values($matrix);
return array($matrixRows,$matrixColumns);
} // function _getMatrixDimensions()
/**
* Ensure that paired matrix operands are both matrices of the same size
*
* @param mixed &$matrix1 First matrix operand
* @param mixed &$matrix2 Second matrix operand
*/
private static function _resizeMatricesShrink(&$matrix1,&$matrix2) {
list($matrix1Rows,$matrix1Columns) = self::_getMatrixDimensions($matrix1);
list($matrix2Rows,$matrix2Columns) = self::_getMatrixDimensions($matrix2);
if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows)) {
if ($matrix2Columns < $matrix1Columns) {
for ($i = 0; $i < $matrix1Rows; ++$i) {
for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j) {
unset($matrix1[$i][$j]);
}
}
}
if ($matrix2Rows < $matrix1Rows) {
for ($i = $matrix2Rows; $i < $matrix1Rows; ++$i) {
unset($matrix1[$i]);
}
}
}
if (($matrix1Columns < $matrix2Columns) || ($matrix1Rows < $matrix2Rows)) {
if ($matrix1Columns < $matrix2Columns) {
for ($i = 0; $i < $matrix2Rows; ++$i) {
for ($j = $matrix1Columns; $j < $matrix2Columns; ++$j) {
unset($matrix2[$i][$j]);
}
}
}
if ($matrix1Rows < $matrix2Rows) {
for ($i = $matrix1Rows; $i < $matrix2Rows; ++$i) {
unset($matrix2[$i]);
}
}
}
} // function _resizeMatricesShrink()
/**
* Ensure that paired matrix operands are both matrices of the same size
*
* @param mixed &$matrix1 First matrix operand
* @param mixed &$matrix2 Second matrix operand
*/
private static function _resizeMatricesExtend(&$matrix1,&$matrix2) {
list($matrix1Rows,$matrix1Columns) = self::_getMatrixDimensions($matrix1);
list($matrix2Rows,$matrix2Columns) = self::_getMatrixDimensions($matrix2);
if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows)) {
if ($matrix2Columns < $matrix1Columns) {
for ($i = 0; $i < $matrix2Rows; ++$i) {
$x = $matrix2[$i][$matrix2Columns-1];
for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j) {
$matrix2[$i][$j] = $x;
}
}
}
if ($matrix2Rows < $matrix1Rows) {
$x = $matrix2[$matrix2Rows-1];
for ($i = 0; $i < $matrix1Rows; ++$i) {
$matrix2[$i] = $x;
}
}
}
if (($matrix1Columns < $matrix2Columns) || ($matrix1Rows < $matrix2Rows)) {
if ($matrix1Columns < $matrix2Columns) {
for ($i = 0; $i < $matrix1Rows; ++$i) {
$x = $matrix1[$i][$matrix1Columns-1];
for ($j = $matrix1Columns; $j < $matrix2Columns; ++$j) {
$matrix1[$i][$j] = $x;
}
}
}
if ($matrix1Rows < $matrix2Rows) {
$x = $matrix1[$matrix1Rows-1];
for ($i = 0; $i < $matrix2Rows; ++$i) {
$matrix1[$i] = $x;
}
}
}
} // function _resizeMatricesExtend()
/**
* Format details of an operand for display in the log (based on operand type)
*
* @param mixed $value First matrix operand
* @return mixed
*/
private static function _showValue($value) {
if (is_array($value)) {
$returnMatrix = array();
$pad = $rpad = ', ';
foreach($value as $row) {
if (is_array($row)) {
$returnMatrix[] = implode($pad,$row);
$rpad = '; ';
} else {
$returnMatrix[] = $row;
}
}
return '{ '.implode($rpad,$returnMatrix).' }';
} elseif(is_bool($value)) {
return ($value) ? 'TRUE' : 'FALSE';
}
return $value;
} // function _showValue()
/**
* Format type and details of an operand for display in the log (based on operand type)
*
* @param mixed $value First matrix operand
* @return mixed
*/
private static function _showTypeDetails($value) {
switch (gettype($value)) {
case 'double' :
case 'float' :
$typeString = 'a floating point number';
break;
case 'integer' :
$typeString = 'an integer number';
break;
case 'boolean' :
$typeString = 'a boolean';
break;
case 'array' :
$typeString = 'a matrix';
break;
case 'string' :
if ($value == '') {
return 'an empty string';
} elseif ($value{0} == '#') {
return 'a '.$value.' error';
} else {
$typeString = 'a string';
}
break;
case 'NULL' :
return 'a null value';
}
return $typeString.' with a value of '.self::_showValue($value);
} // function _showTypeDetails()
private static function _convertMatrixReferences($formula) {
static $matrixReplaceFrom = array('{',';','}');
static $matrixReplaceTo = array('MKMATRIX(MKMATRIX(','),MKMATRIX(','))');
// Convert any Excel matrix references to the MKMATRIX() function
if (strpos($formula,'{') !== false) {
// If there is the possibility of braces within a quoted string, then we don't treat those as matrix indicators
if (strpos($formula,'"') !== false) {
// So instead we skip replacing in any quoted strings by only replacing in every other array element after we've exploded
// the formula
$temp = explode('"',$formula);
// Open and Closed counts used for trapping mismatched braces in the formula
$openCount = $closeCount = 0;
foreach($temp as $i => &$value) {
// Only count/replace in alternate array entries
if (($i % 2) == 0) {
$openCount += substr_count($value,'{');
$closeCount += substr_count($value,'}');
$value = str_replace($matrixReplaceFrom,$matrixReplaceTo,$value);
}
}
unset($value);
// Then rebuild the formula string
$formula = implode('"',$temp);
} else {
// If there's no quoted strings, then we do a simple count/replace
$openCount = substr_count($formula,'{');
$closeCount = substr_count($formula,'}');
$formula = str_replace($matrixReplaceFrom,$matrixReplaceTo,$formula);
}
// Trap for mismatched braces and trigger an appropriate error
if ($openCount < $closeCount) {
if ($openCount > 0) {
return $this->_raiseFormulaError("Formula Error: Mismatched matrix braces '}'");
} else {
return $this->_raiseFormulaError("Formula Error: Unexpected '}' encountered");
}
} elseif ($openCount > $closeCount) {
if ($closeCount > 0) {
return $this->_raiseFormulaError("Formula Error: Mismatched matrix braces '{'");
} else {
return $this->_raiseFormulaError("Formula Error: Unexpected '{' encountered");
}
}
}
return $formula;
} // function _convertMatrixReferences()
private static function _mkMatrix() {
return func_get_args();
} // function _mkMatrix()
// Convert infix to postfix notation
private function _parseFormula($formula) {
if (($formula = self::_convertMatrixReferences(trim($formula))) === false) {
return false;
}
// Binary Operators
// These operators always work on two values
// Array key is the operator, the value indicates whether this is a left or right associative operator
$operatorAssociativity = array('^' => 0, // Exponentiation
'*' => 0, '/' => 0, // Multiplication and Division
'+' => 0, '-' => 0, // Addition and Subtraction
'&' => 0, // Concatenation
'|' => 0, ':' => 0, // Intersect and Range
'>' => 0, '<' => 0, '=' => 0, '>=' => 0, '<=' => 0, '<>' => 0 // Comparison
);
// Comparison (Boolean) Operators
// These operators work on two values, but always return a boolean result
$comparisonOperators = array('>', '<', '=', '>=', '<=', '<>');
// Operator Precedence
// This list includes all valid operators, whether binary (including boolean) or unary (such as %)
// Array key is the operator, the value is its precedence
$operatorPrecedence = array(':' => 8, // Range
'|' => 7, // Intersect
'~' => 6, // Negation
'%' => 5, // Percentage
'^' => 4, // Exponentiation
'*' => 3, '/' => 3, // Multiplication and Division
'+' => 2, '-' => 2, // Addition and Subtraction
'&' => 1, // Concatenation
'>' => 0, '<' => 0, '=' => 0, '>=' => 0, '<=' => 0, '<>' => 0 // Comparison
);
$regexpMatchString = '/^('.self::CALCULATION_REGEXP_FUNCTION.
'|'.self::CALCULATION_REGEXP_NUMBER.
'|'.self::CALCULATION_REGEXP_STRING.
'|'.self::CALCULATION_REGEXP_OPENBRACE.
'|'.self::CALCULATION_REGEXP_CELLREF.
'|'.self::CALCULATION_REGEXP_NAMEDRANGE.
'|'.self::CALCULATION_REGEXP_ERROR.
')/si';
// Start with initialisation
$index = 0;
$stack = new PHPExcel_Token_Stack;
$output = array();
$expectingOperator = false; // We use this test in syntax-checking the expression to determine when a
// - is a negation or + is a positive operator rather than an operation
$expectingOperand = false; // We use this test in syntax-checking the expression to determine whether an operand
// should be null in a function call
// The guts of the lexical parser
// Loop through the formula extracting each operator and operand in turn
while(True) {
// echo 'Assessing Expression '.substr($formula, $index).' ';
$opCharacter = $formula{$index}; // Get the first character of the value at the current index position
// echo 'Initial character of expression block is '.$opCharacter.' ';
if ((in_array($opCharacter, $comparisonOperators)) && (strlen($formula) > $index) && (in_array($formula{$index+1}, $comparisonOperators))) {
$opCharacter .= $formula{++$index};
// echo 'Initial character of expression block is comparison operator '.$opCharacter.' ';
}
// Find out if we're currently at the beginning of a number, variable, cell reference, function, parenthesis or operand
$isOperandOrFunction = preg_match($regexpMatchString, substr($formula, $index), $match);
// echo '$isOperandOrFunction is '.(($isOperandOrFunction)?'True':'False').' ';
if ($opCharacter == '-' && !$expectingOperator) { // Is it a negation instead of a minus?
// echo 'Element is a Negation operator ';
$stack->push('Unary Operator','~'); // Put a negation on the stack
++$index; // and drop the negation symbol
} elseif ($opCharacter == '%' && $expectingOperator) {
// echo 'Element is a Percentage operator ';
$stack->push('Unary Operator','%'); // Put a percentage on the stack
++$index;
} elseif ($opCharacter == '+' && !$expectingOperator) { // Positive (rather than plus) can be discarded?
// echo 'Element is a Positive number, not Plus operator ';
++$index; // Drop the redundant plus symbol
} elseif (($opCharacter == '~') && (!$isOperandOrFunction)) { // We have to explicitly deny a tilde, because it's legal
return $this->_raiseFormulaError("Formula Error: Illegal character '~'"); // on the stack but not in the input expression
} elseif ((in_array($opCharacter, $this->_operators) or $isOperandOrFunction) && $expectingOperator) { // Are we putting an operator on the stack?
// echo 'Element with value '.$opCharacter.' is an Operator ';
while($stack->count() > 0 &&
($o2 = $stack->last()) &&
in_array($o2['value'], $this->_operators) &&
@($operatorAssociativity[$opCharacter] ? $operatorPrecedence[$opCharacter] < $operatorPrecedence[$o2['value']] : $operatorPrecedence[$opCharacter] <= $operatorPrecedence[$o2['value']])) {
$output[] = $stack->pop(); // Swap operands and higher precedence operators from the stack to the output
}
$stack->push('Binary Operator',$opCharacter); // Finally put our current operator onto the stack
++$index;
$expectingOperator = false;
} elseif ($opCharacter == ')' && $expectingOperator) { // Are we expecting to close a parenthesis?
// echo 'Element is a Closing bracket ';
$expectingOperand = false;
while (($o2 = $stack->pop()) && $o2['value'] != '(') { // Pop off the stack back to the last (
if (is_null($o2)) return $this->_raiseFormulaError('Formula Error: Unexpected closing brace ")"');
else $output[] = $o2;
}
$d = $stack->last(2);
if (preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $d['value'], $matches)) { // Did this parenthesis just close a function?
$functionName = $matches[1]; // Get the function name
// echo 'Closed Function is '.$functionName.' ';
$d = $stack->pop();
$argumentCount = $d['value']; // See how many arguments there were (argument count is the next value stored on the stack)
// if ($argumentCount == 0) {
// echo 'With no arguments ';
// } elseif ($argumentCount == 1) {
// echo 'With 1 argument ';
// } else {
// echo 'With '.$argumentCount.' arguments ';
// }
$output[] = $d; // Dump the argument count on the output
$output[] = $stack->pop(); // Pop the function and push onto the output
if (array_key_exists($functionName, $this->_controlFunctions)) {
// echo 'Built-in function '.$functionName.' ';
$expectedArgumentCount = $this->_controlFunctions[$functionName]['argumentCount'];
$functionCall = $this->_controlFunctions[$functionName]['functionCall'];
} elseif (array_key_exists($functionName, $this->_PHPExcelFunctions)) {
// echo 'PHPExcel function '.$functionName.' ';
$expectedArgumentCount = $this->_PHPExcelFunctions[$functionName]['argumentCount'];
$functionCall = $this->_PHPExcelFunctions[$functionName]['functionCall'];
} else { // did we somehow push a non-function on the stack? this should never happen
return $this->_raiseFormulaError("Formula Error: Internal error, non-function on stack");
}
// Check the argument count
$argumentCountError = False;
if (is_numeric($expectedArgumentCount)) {
if ($expectedArgumentCount < 0) {
// echo '$expectedArgumentCount is between 0 and '.abs($expectedArgumentCount).' ';
if ($argumentCount > abs($expectedArgumentCount)) {
$argumentCountError = True;
$expectedArgumentCountString = 'no more than '.abs($expectedArgumentCount);
}
} else {
// echo '$expectedArgumentCount is numeric '.$expectedArgumentCount.' ';
if ($argumentCount != $expectedArgumentCount) {
$argumentCountError = True;
$expectedArgumentCountString = $expectedArgumentCount;
}
}
} elseif ($expectedArgumentCount != '*') {
$isOperandOrFunction = preg_match('/(\d*)([-+,])(\d*)/',$expectedArgumentCount,$argMatch);
// print_r($argMatch);
// echo ' ';
switch ($argMatch[2]) {
case '+' :
if ($argumentCount < $argMatch[1]) {
$argumentCountError = True;
$expectedArgumentCountString = $argMatch[1].' or more ';
}
break;
case '-' :
if (($argumentCount < $argMatch[1]) || ($argumentCount > $argMatch[3])) {
$argumentCountError = True;
$expectedArgumentCountString = 'between '.$argMatch[1].' and '.$argMatch[3];
}
break;
case ',' :
if (($argumentCount != $argMatch[1]) && ($argumentCount != $argMatch[3])) {
$argumentCountError = True;
$expectedArgumentCountString = 'either '.$argMatch[1].' or '.$argMatch[3];
}
break;
}
}
if ($argumentCountError) {
return $this->_raiseFormulaError("Formula Error: Wrong number of arguments for $functionName() function: $argumentCount given, ".$expectedArgumentCountString." expected");
}
}
++$index;
} elseif ($opCharacter == ',') { // Is this the comma separator for function arguments?
// echo 'Element is a Function argument separator ';
while (($o2 = $stack->pop()) && $o2['value'] != '(') { // Pop off the stack back to the last (
if (is_null($o2)) return $this->_raiseFormulaError("Formula Error: Unexpected ','");
else $output[] = $o2; // pop the argument expression stuff and push onto the output
}
// If we've a comma when we're expecting an operand, then what we actually have is a null operand;
// so push a null onto the stack
if (($expectingOperand) || (!$expectingOperator)) {
$output[] = array('type' => 'NULL Value', 'value' => $this->_ExcelConstants['NULL'], 'reference' => NULL);
}
// make sure there was a function
$d = $stack->last(2);
if (!preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $d['value'], $matches))
return $this->_raiseFormulaError("Formula Error: Unexpected ','");
$d = $stack->pop();
$stack->push($d['type'],++$d['value'],$d['reference']); // increment the argument count
$stack->push('Brace', '('); // put the ( back on, we'll need to pop back to it again
$expectingOperator = false;
$expectingOperand = true;
++$index;
} elseif ($opCharacter == '(' && !$expectingOperator) {
// echo 'Element is an Opening Bracket ';
$stack->push('Brace', '(');
++$index;
} elseif ($isOperandOrFunction && !$expectingOperator) { // do we now have a function/variable/number?
$expectingOperator = true;
$expectingOperand = false;
$val = $match[1];
$length = strlen($val);
// echo 'Element with value '.$val.' is an Operand, Variable, Constant, String, Number, Cell Reference or Function ';
if (preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $val, $matches)) {
$val = preg_replace('/\s/','',$val);
// echo 'Element '.$val.' is a Function ';
if (array_key_exists(strtoupper($matches[1]), $this->_PHPExcelFunctions) || array_key_exists(strtoupper($matches[1]), $this->_controlFunctions)) { // it's a func
$stack->push('Function', strtoupper($val));
$ax = preg_match('/^\s*(\s*\))/i', substr($formula, $index+$length), $amatch);
if ($ax) {
$stack->push('Operand Count for Function '.strtoupper($val).')', 0);
$expectingOperator = true;
} else {
$stack->push('Operand Count for Function '.strtoupper($val).')', 1);
$expectingOperator = false;
}
$stack->push('Brace', '(');
} else { // it's a var w/ implicit multiplication
$output[] = array('type' => 'Value', 'value' => $matches[1], 'reference' => NULL);
}
} elseif (preg_match('/^'.self::CALCULATION_REGEXP_CELLREF.'$/i', $val, $matches)) {
// echo 'Element '.$val.' is a Cell reference ';
// Watch for this case-change when modifying to allow cell references in different worksheets...
// Should only be applied to the actual cell column, not the worksheet name
$cellRef = strtoupper($val);
// $output[] = $cellRef;
$output[] = array('type' => 'Cell Reference', 'value' => $val, 'reference' => $cellRef);
// $expectingOperator = false;
} else { // it's a variable, constant, string, number or boolean
// echo 'Element is a Variable, Constant, String, Number or Boolean ';
if ($opCharacter == '"') {
// echo 'Element is a String ';
$val = str_replace('""','"',$val);
} elseif (is_numeric($val)) {
// echo 'Element is a Number ';
if ((strpos($val,'.') !== False) || (stripos($val,'e') !== False) || ($val > PHP_INT_MAX) || ($val < -PHP_INT_MAX)) {
// echo 'Casting '.$val.' to float ';
$val = (float) $val;
} else {
// echo 'Casting '.$val.' to integer ';
$val = (integer) $val;
}
} elseif (array_key_exists(trim(strtoupper($val)), $this->_ExcelConstants)) {
$excelConstant = trim(strtoupper($val));
// echo 'Element '.$excelConstant.' is an Excel Constant ';
$val = $this->_ExcelConstants[$excelConstant];
}
$output[] = array('type' => 'Value', 'value' => $val, 'reference' => NULL);
}
$index += $length;
} elseif ($opCharacter == ')') { // miscellaneous error checking
if ($expectingOperand) {
$output[] = array('type' => 'Null Value', 'value' => $this->_ExcelConstants['NULL'], 'reference' => NULL);
$expectingOperand = false;
$expectingOperator = True;
} else {
return $this->_raiseFormulaError("Formula Error: Unexpected ')'");
}
} elseif (in_array($opCharacter, $this->_operators) && !$expectingOperator) {
return $this->_raiseFormulaError("Formula Error: Unexpected operator '$opCharacter'");
} else { // I don't even want to know what you did to get here
return $this->_raiseFormulaError("Formula Error: An unexpected error occured");
}
// Test for end of formula string
if ($index == strlen($formula)) {
// Did we end with an operator?.
// Only valid for the % unary operator
if ((in_array($opCharacter, $this->_operators)) && ($opCharacter != '%')) {
return $this->_raiseFormulaError("Formula Error: Operator '$opCharacter' has no operands");
} else {
break;
}
}
// Ignore white space
while (($formula{$index} == "\n") || ($formula{$index} == "\r")) {
++$index;
}
if ($formula{$index} == ' ') {
while ($formula{$index} == ' ') {
++$index;
}
// If we're expecting an operator, but only have a space between the previous and next operands (and both are
// Cell References) then we have an INTERSECTION operator
// echo 'Possible Intersect Operator ';
if (($expectingOperator) && (preg_match('/^'.self::CALCULATION_REGEXP_CELLREF.'.*/i', substr($formula, $index), $match)) &&
($output[count($output)-1]['type'] == 'Cell Reference')) {
// echo 'Element is an Intersect Operator ';
while($stack->count() > 0 &&
($o2 = $stack->last()) &&
in_array($o2['value'], $this->_operators) &&
@($operatorAssociativity[$opCharacter] ? $operatorPrecedence[$opCharacter] < $operatorPrecedence[$o2['value']] : $operatorPrecedence[$opCharacter] <= $operatorPrecedence[$o2['value']])) {
$output[] = $stack->pop(); // Swap operands and higher precedence operators from the stack to the output
}
$stack->push('Binary Operator','|'); // Put an Intersect Operator on the stack
$expectingOperator = false;
}
}
}
while (!is_null($op = $stack->pop())) { // pop everything off the stack and push onto output
if ($opCharacter['value'] == '(') return $this->_raiseFormulaError("Formula Error: Expecting ')'"); // if there are any opening braces on the stack, then braces were unbalanced
$output[] = $op;
}
return $output;
} // function _parseFormula()
// evaluate postfix notation
private function _processTokenStack($tokens, $cellID=null, PHPExcel_Cell $pCell = null) {
if ($tokens == false) return false;
$stack = new PHPExcel_Token_Stack;
// Loop through each token in turn
foreach ($tokens as $tokenData) {
// print_r($tokenData);
// echo ' ';
$token = $tokenData['value'];
// echo 'Token is '.$token.' ';
// if the token is a binary operator, pop the top two values off the stack, do the operation, and push the result back on the stack
if (in_array($token, $this->_binaryOperators, true)) {
// echo 'Token is a binary operator ';
// We must have two operands, error if we don't
if (is_null($operand2Data = $stack->pop())) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');
if (is_null($operand1Data = $stack->pop())) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');
// Log what we're doing
$operand1 = $operand1Data['value'];
$operand2 = $operand2Data['value'];
if ($token == ':') {
$this->_writeDebug('Evaluating Range '.self::_showValue($operand1Data['reference']).$token.self::_showValue($operand2Data['reference']));
} else {
$this->_writeDebug('Evaluating '.self::_showValue($operand1).' '.$token.' '.self::_showValue($operand2));
}
// Process the operation in the appropriate manner
switch ($token) {
// Comparison (Boolean) Operators
case '>' : // Greater than
case '<' : // Less than
case '>=' : // Greater than or Equal to
case '<=' : // Less than or Equal to
case '=' : // Equality
case '<>' : // Inequality
$this->_executeBinaryComparisonOperation($cellID,$operand1,$operand2,$token,$stack);
break;
// Binary Operators
case ':' : // Range
$sheet1 = $sheet2 = '';
if (strpos($operand1Data['reference'],'!') !== false) {
list($sheet1,$operand1Data['reference']) = explode('!',$operand1Data['reference']);
} else {
$sheet1 = $pCell->getParent()->getTitle();
}
if (strpos($operand2Data['reference'],'!') !== false) {
list($sheet2,$operand2Data['reference']) = explode('!',$operand2Data['reference']);
} else {
$sheet2 = $sheet1;
}
if ($sheet1 == $sheet2) {
if (is_null($operand1Data['reference'])) {
if ((trim($operand1Data['value']) != '') && (is_numeric($operand1Data['value']))) {
$operand1Data['reference'] = $pCell->getColumn().$operand1Data['value'];
} elseif (trim($operand1Data['reference']) == '') {
$operand1Data['reference'] = $pCell->getColumn().$pCell->getRow();
} else {
$operand1Data['reference'] = $operand1Data['value'].$pCell->getRow();
}
}
if (is_null($operand2Data['reference'])) {
if ((trim($operand2Data['value']) != '') && (is_numeric($operand2Data['value']))) {
$operand2Data['reference'] = $pCell->getColumn().$operand2Data['value'];
} elseif (trim($operand2Data['reference']) == '') {
$operand2Data['reference'] = $pCell->getColumn().$pCell->getRow();
} else {
$operand2Data['reference'] = $operand2Data['value'].$pCell->getRow();
}
}
$oData = array_merge(explode(':',$operand1Data['reference']),explode(':',$operand2Data['reference']));
$oCol = $oRow = array();
foreach($oData as $oDatum) {
$oCR = PHPExcel_Cell::coordinateFromString($oDatum);
$oCol[] = PHPExcel_Cell::columnIndexFromString($oCR[0]) - 1;
$oRow[] = $oCR[1];
}
$cellRef = PHPExcel_Cell::stringFromColumnIndex(min($oCol)).min($oRow).':'.PHPExcel_Cell::stringFromColumnIndex(max($oCol)).max($oRow);
$cellValue = $this->extractCellRange($cellRef, $pCell->getParent()->getParent()->getSheetByName($sheet1), false);
$stack->push('Cell Reference',$cellValue,$cellRef);
} else {
$stack->push('Error',PHPExcel_Calculation_Functions::REF(),NULL);
}
break;
case '+' : // Addition
$this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'plusEquals',$stack);
break;
case '-' : // Subtraction
$this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'minusEquals',$stack);
break;
case '*' : // Multiplication
$this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'arrayTimesEquals',$stack);
break;
case '/' : // Division
$this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'arrayRightDivide',$stack);
break;
case '^' : // Exponential
$this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'power',$stack);
break;
case '&' : // Concatenation
// If either of the operands is a matrix, we need to treat them both as matrices
// (converting the other operand to a matrix if need be); then perform the required
// matrix operation
if (is_bool($operand1)) {
$operand1 = ($operand1) ? 'TRUE' : 'FALSE';
}
if (is_bool($operand2)) {
$operand2 = ($operand2) ? 'TRUE' : 'FALSE';
}
if ((is_array($operand1)) || (is_array($operand2))) {
// Ensure that both operands are arrays/matrices
self::_checkMatrixOperands($operand1,$operand2,2);
try {
// Convert operand 1 from a PHP array to a matrix
$matrix = new Matrix($operand1);
// Perform the required operation against the operand 1 matrix, passing in operand 2
$matrixResult = $matrix->concat($operand2);
$result = $matrixResult->getArray();
} catch (Exception $ex) {
$this->_writeDebug('JAMA Matrix Exception: '.$ex->getMessage());
$result = '#VALUE!';
}
} else {
$result = '"'.str_replace('""','"',self::_unwrapResult($operand1,'"').self::_unwrapResult($operand2,'"')).'"';
}
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($result));
$stack->push('Value',$result);
break;
case '|' : // Intersect
$rowIntersect = array_intersect_key($operand1,$operand2);
$cellIntersect = $oCol = $oRow = array();
foreach(array_keys($rowIntersect) as $col) {
$oCol[] = PHPExcel_Cell::columnIndexFromString($col) - 1;
$cellIntersect[$col] = array_intersect_key($operand1[$col],$operand2[$col]);
foreach($cellIntersect[$col] as $row => $data) {
$oRow[] = $row;
}
}
$cellRef = PHPExcel_Cell::stringFromColumnIndex(min($oCol)).min($oRow).':'.PHPExcel_Cell::stringFromColumnIndex(max($oCol)).max($oRow);
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($cellIntersect));
$stack->push('Value',$cellIntersect,$cellRef);
break;
}
// if the token is a unary operator, pop one value off the stack, do the operation, and push it back on
} elseif (($token === '~') || ($token === '%')) {
// echo 'Token is a unary operator ';
if (is_null($arg = $stack->pop())) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');
$arg = $arg['value'];
if ($token === '~') {
// echo 'Token is a negation operator ';
$this->_writeDebug('Evaluating Negation of '.self::_showValue($arg));
$multiplier = -1;
} else {
// echo 'Token is a percentile operator ';
$this->_writeDebug('Evaluating Percentile of '.self::_showValue($arg));
$multiplier = 0.01;
}
if (is_array($arg)) {
self::_checkMatrixOperands($arg,$multiplier,2);
try {
$matrix1 = new Matrix($arg);
$matrixResult = $matrix1->arrayTimesEquals($multiplier);
$result = $matrixResult->getArray();
} catch (Exception $ex) {
$this->_writeDebug('JAMA Matrix Exception: '.$ex->getMessage());
$result = '#VALUE!';
}
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($result));
$stack->push('Value',$result);
} else {
$this->_executeNumericBinaryOperation($cellID,$multiplier,$arg,'*','arrayTimesEquals',$stack);
}
} elseif (preg_match('/^'.self::CALCULATION_REGEXP_CELLREF.'$/i', $token, $matches)) {
$cellRef = null;
// echo 'Element '.$token.' is a Cell reference ';
if (isset($matches[8])) {
// echo 'Reference is a Range of cells ';
if (is_null($pCell)) {
// We can't access the range, so return a REF error
$cellValue = PHPExcel_Calculation_Functions::REF();
} else {
$cellRef = $matches[6].$matches[7].':'.$matches[9].$matches[10];
if ($matches[2] > '') {
$matches[2] = trim($matches[2],"\"'");
// echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].' ';
$this->_writeDebug('Evaluating Cell Range '.$cellRef.' in worksheet '.$matches[2]);
$cellValue = $this->extractCellRange($cellRef, $pCell->getParent()->getParent()->getSheetByName($matches[2]), false);
$this->_writeDebug('Evaluation Result for cells '.$cellRef.' in worksheet '.$matches[2].' is '.self::_showTypeDetails($cellValue));
} else {
// echo '$cellRef='.$cellRef.' in current worksheet ';
$this->_writeDebug('Evaluating Cell Range '.$cellRef.' in current worksheet');
$cellValue = $this->extractCellRange($cellRef, $pCell->getParent(), false);
$this->_writeDebug('Evaluation Result for cells '.$cellRef.' is '.self::_showTypeDetails($cellValue));
}
}
} else {
// echo 'Reference is a single Cell ';
if (is_null($pCell)) {
// We can't access the cell, so return a REF error
$cellValue = PHPExcel_Calculation_Functions::REF();
} else {
$cellRef = $matches[6].$matches[7];
if ($matches[2] > '') {
$matches[2] = trim($matches[2],"\"'");
// echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].' ';
$this->_writeDebug('Evaluating Cell '.$cellRef.' in worksheet '.$matches[2]);
if ($pCell->getParent()->getParent()->getSheetByName($matches[2])->cellExists($cellRef)) {
$cellValue = $this->extractCellRange($cellRef, $pCell->getParent()->getParent()->getSheetByName($matches[2]), false);
} else {
$cellValue = PHPExcel_Calculation_Functions::REF();
}
$this->_writeDebug('Evaluation Result for cell '.$cellRef.' in worksheet '.$matches[2].' is '.self::_showTypeDetails($cellValue));
} else {
// echo '$cellRef='.$cellRef.' in current worksheet ';
$this->_writeDebug('Evaluating Cell '.$cellRef.' in current worksheet');
if ($pCell->getParent()->cellExists($cellRef)) {
$cellValue = $this->extractCellRange($cellRef, $pCell->getParent(), false);
} else {
$cellValue = NULL;
}
$this->_writeDebug('Evaluation Result for cell '.$cellRef.' is '.self::_showTypeDetails($cellValue));
}
}
}
$stack->push('Value',$cellValue,$cellRef);
// if the token is a function, pop arguments off the stack, hand them to the function, and push the result back on
} elseif (preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $token, $matches)) {
// echo 'Token is a function ';
$functionName = $matches[1];
$argCount = $stack->pop();
$argCount = $argCount['value'];
if ($functionName != 'MKMATRIX') {
$this->_writeDebug('Evaluating Function '.$functionName.'() with '.(($argCount == 0) ? 'no' : $argCount).' argument'.(($argCount == 1) ? '' : 's'));
}
if ((array_key_exists($functionName, $this->_PHPExcelFunctions)) || (array_key_exists($functionName, $this->_controlFunctions))) { // function
if (array_key_exists($functionName, $this->_PHPExcelFunctions)) {
$functionCall = $this->_PHPExcelFunctions[$functionName]['functionCall'];
$passByReference = isset($this->_PHPExcelFunctions[$functionName]['passByReference']);
$passCellReference = isset($this->_PHPExcelFunctions[$functionName]['passCellReference']);
} elseif (array_key_exists($functionName, $this->_controlFunctions)) {
$functionCall = $this->_controlFunctions[$functionName]['functionCall'];
$passByReference = isset($this->_controlFunctions[$functionName]['passByReference']);
$passCellReference = isset($this->_controlFunctions[$functionName]['passCellReference']);
}
// get the arguments for this function
// echo 'Function '.$functionName.' expects '.$argCount.' arguments ';
$args = $argArrayVals = array();
for ($i = 0; $i < $argCount; ++$i) {
$arg = $stack->pop();
$a = $argCount - $i - 1;
if (($passByReference) &&
(isset($this->_PHPExcelFunctions[$functionName]['passByReference'][$a])) &&
($this->_PHPExcelFunctions[$functionName]['passByReference'][$a])) {
if (is_null($arg['reference'])) {
$args[] = $cellID;
if ($functionName != 'MKMATRIX') { $argArrayVals[] = self::_showValue($cellID); }
} else {
$args[] = $arg['reference'];
if ($functionName != 'MKMATRIX') { $argArrayVals[] = self::_showValue($arg['reference']); }
}
} else {
$args[] = self::_unwrapResult($arg['value']);
if ($functionName != 'MKMATRIX') { $argArrayVals[] = self::_showValue($arg['value']); }
}
}
// Reverse the order of the arguments
krsort($args);
if (($passByReference) && ($argCount == 0)) {
$args[] = $cellID;
$argArrayVals[] = self::_showValue($cellID);
}
// echo 'Arguments are: ';
// print_r($args);
// echo ' ';
if ($functionName != 'MKMATRIX') {
krsort($argArrayVals);
$this->_writeDebug('Evaluating '. $functionName.'( '.implode(', ',$argArrayVals).' )');
}
// Process each argument in turn, building the return value as an array
// if (($argCount == 1) && (is_array($args[1])) && ($functionName != 'MKMATRIX')) {
// $operand1 = $args[1];
// $this->_writeDebug('Argument is a matrix: '.self::_showValue($operand1));
// $result = array();
// $row = 0;
// foreach($operand1 as $args) {
// if (is_array($args)) {
// foreach($args as $arg) {
// $this->_writeDebug('Evaluating '. $functionName.'( '.self::_showValue($arg).' )');
// $r = call_user_func_array($functionCall,$arg);
// $this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($r));
// $result[$row][] = $r;
// }
// ++$row;
// } else {
// $this->_writeDebug('Evaluating '. $functionName.'( '.self::_showValue($args).' )');
// $r = call_user_func_array($functionCall,$args);
// $this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($r));
// $result[] = $r;
// }
// }
// } else {
// Process the argument with the appropriate function call
if ($passCellReference) {
$args[] = $pCell;
}
if (strpos($functionCall,'::') !== false) {
$result = call_user_func_array(explode('::',$functionCall),$args);
} else {
foreach($args as &$arg) {
$arg = PHPExcel_Calculation_Functions::flattenSingleValue($arg);
}
unset($arg);
$result = call_user_func_array($functionCall,$args);
}
// }
if ($functionName != 'MKMATRIX') {
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($result));
}
$stack->push('Value',self::_wrapResult($result));
}
} else {
// if the token is a number, boolean, string or an Excel error, push it onto the stack
if (array_key_exists(strtoupper($token), $this->_ExcelConstants)) {
$excelConstant = strtoupper($token);
// echo 'Token is a PHPExcel constant: '.$excelConstant.' ';
$stack->push('Constant Value',$this->_ExcelConstants[$excelConstant]);
$this->_writeDebug('Evaluating Constant '.$excelConstant.' as '.self::_showTypeDetails($this->_ExcelConstants[$excelConstant]));
} elseif ((is_numeric($token)) || (is_bool($token)) || (is_null($token)) || ($token == '') || ($token{0} == '"') || ($token{0} == '#')) {
// echo 'Token is a number, boolean, string, null or an Excel error ';
$stack->push('Value',$token);
// if the token is a named range, push the named range name onto the stack
} elseif (preg_match('/^'.self::CALCULATION_REGEXP_NAMEDRANGE.'$/i', $token, $matches)) {
// echo 'Token is a named range ';
$namedRange = $matches[6];
// echo 'Named Range is '.$namedRange.' ';
$this->_writeDebug('Evaluating Named Range '.$namedRange);
$cellValue = $this->extractNamedRange($namedRange, ((null !== $pCell) ? $pCell->getParent() : null), false);
$this->_writeDebug('Evaluation Result for named range '.$namedRange.' is '.self::_showTypeDetails($cellValue));
$stack->push('Named Range',$cellValue,$namedRange);
} else {
return $this->_raiseFormulaError("undefined variable '$token'");
}
}
}
// when we're out of tokens, the stack should have a single element, the final result
if ($stack->count() != 1) return $this->_raiseFormulaError("internal error");
$output = $stack->pop();
$output = $output['value'];
// if ((is_array($output)) && (self::$returnArrayAsType != self::RETURN_ARRAY_AS_ARRAY)) {
// return array_shift(PHPExcel_Calculation_Functions::flattenArray($output));
// }
return $output;
} // function _processTokenStack()
private function _validateBinaryOperand($cellID,&$operand,&$stack) {
// Numbers, matrices and booleans can pass straight through, as they're already valid
if (is_string($operand)) {
// We only need special validations for the operand if it is a string
// Start by stripping off the quotation marks we use to identify true excel string values internally
if ($operand > '' && $operand{0} == '"') { $operand = self::_unwrapResult($operand); }
// If the string is a numeric value, we treat it as a numeric, so no further testing
if (!is_numeric($operand)) {
// If not a numeric, test to see if the value is an Excel error, and so can't be used in normal binary operations
if ($operand > '' && $operand{0} == '#') {
$stack->push('Value', $operand);
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($operand));
return false;
} elseif (!PHPExcel_Shared_String::convertToNumberIfFraction($operand)) {
// If not a numeric or a fraction, then it's a text string, and so can't be used in mathematical binary operations
$stack->push('Value', '#VALUE!');
$this->_writeDebug('Evaluation Result is a '.self::_showTypeDetails('#VALUE!'));
return false;
}
}
}
// return a true if the value of the operand is one that we can use in normal binary operations
return true;
} // function _validateBinaryOperand()
private function _executeBinaryComparisonOperation($cellID,$operand1,$operand2,$operation,&$stack,$recursingArrays=false) {
// If we're dealing with matrix operations, we want a matrix result
if ((is_array($operand1)) || (is_array($operand2))) {
$result = array();
if ((is_array($operand1)) && (!is_array($operand2))) {
foreach($operand1 as $x => $operandData) {
$this->_writeDebug('Evaluating '.self::_showValue($operandData).' '.$operation.' '.self::_showValue($operand2));
$this->_executeBinaryComparisonOperation($cellID,$operandData,$operand2,$operation,$stack);
$r = $stack->pop();
$result[$x] = $r['value'];
}
} elseif ((!is_array($operand1)) && (is_array($operand2))) {
foreach($operand2 as $x => $operandData) {
$this->_writeDebug('Evaluating '.self::_showValue($operand1).' '.$operation.' '.self::_showValue($operandData));
$this->_executeBinaryComparisonOperation($cellID,$operand1,$operandData,$operation,$stack);
$r = $stack->pop();
$result[$x] = $r['value'];
}
} else {
if (!$recursingArrays) { self::_checkMatrixOperands($operand1,$operand2,2); }
foreach($operand1 as $x => $operandData) {
$this->_writeDebug('Evaluating '.self::_showValue($operandData).' '.$operation.' '.self::_showValue($operand2[$x]));
$this->_executeBinaryComparisonOperation($cellID,$operandData,$operand2[$x],$operation,$stack,True);
$r = $stack->pop();
$result[$x] = $r['value'];
}
}
// Log the result details
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($result));
// And push the result onto the stack
$stack->push('Array',$result);
return true;
}
// Simple validate the two operands if they are string values
if (is_string($operand1) && $operand1 > '' && $operand1{0} == '"') { $operand1 = self::_unwrapResult($operand1); }
if (is_string($operand2) && $operand2 > '' && $operand2{0} == '"') { $operand2 = self::_unwrapResult($operand2); }
// execute the necessary operation
switch ($operation) {
// Greater than
case '>':
$result = ($operand1 > $operand2);
break;
// Less than
case '<':
$result = ($operand1 < $operand2);
break;
// Equality
case '=':
$result = ($operand1 == $operand2);
break;
// Greater than or equal
case '>=':
$result = ($operand1 >= $operand2);
break;
// Less than or equal
case '<=':
$result = ($operand1 <= $operand2);
break;
// Inequality
case '<>':
$result = ($operand1 != $operand2);
break;
}
// Log the result details
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($result));
// And push the result onto the stack
$stack->push('Value',$result);
return true;
} // function _executeBinaryComparisonOperation()
private function _executeNumericBinaryOperation($cellID,$operand1,$operand2,$operation,$matrixFunction,&$stack) {
// Validate the two operands
if (!$this->_validateBinaryOperand($cellID,$operand1,$stack)) return false;
if (!$this->_validateBinaryOperand($cellID,$operand2,$stack)) return false;
// If either of the operands is a matrix, we need to treat them both as matrices
// (converting the other operand to a matrix if need be); then perform the required
// matrix operation
if ((is_array($operand1)) || (is_array($operand2))) {
// Ensure that both operands are arrays/matrices
self::_checkMatrixOperands($operand1,$operand2,2);
try {
// Convert operand 1 from a PHP array to a matrix
$matrix = new Matrix($operand1);
// Perform the required operation against the operand 1 matrix, passing in operand 2
$matrixResult = $matrix->$matrixFunction($operand2);
$result = $matrixResult->getArray();
} catch (Exception $ex) {
$this->_writeDebug('JAMA Matrix Exception: '.$ex->getMessage());
$result = '#VALUE!';
}
} else {
// If we're dealing with non-matrix operations, execute the necessary operation
switch ($operation) {
// Addition
case '+':
$result = $operand1+$operand2;
break;
// Subtraction
case '-':
$result = $operand1-$operand2;
break;
// Multiplication
case '*':
$result = $operand1*$operand2;
break;
// Division
case '/':
if ($operand2 == 0) {
// Trap for Divide by Zero error
$stack->push('Value','#DIV/0!');
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails('#DIV/0!'));
return false;
} else {
$result = $operand1/$operand2;
}
break;
// Power
case '^':
$result = pow($operand1,$operand2);
break;
}
}
// Log the result details
$this->_writeDebug('Evaluation Result is '.self::_showTypeDetails($result));
// And push the result onto the stack
$stack->push('Value',$result);
return true;
} // function _executeNumericBinaryOperation()
private function _writeDebug($message) {
// Only write the debug log if logging is enabled
if ($this->writeDebugLog) {
$this->debugLog[] = implode(' -> ',$this->debugLogStack).' -> '.$message;
}
} // function _writeDebug()
// trigger an error, but nicely, if need be
private function _raiseFormulaError($errorMessage) {
$this->formulaError = $errorMessage;
echo '_raiseFormulaError message is '.$errorMessage.' ';
if (!$this->suppressFormulaErrors) throw new Exception($errorMessage);
trigger_error($errorMessage, E_USER_ERROR);
} // function _raiseFormulaError()
/**
* Extract range values
*
* @param string &$pRange String based range representation
* @param PHPExcel_Worksheet $pSheet Worksheet
* @return mixed Array of values in range if range contains more than one element. Otherwise, a single value is returned.
* @throws Exception
*/
public function extractCellRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = null, $resetLog=true) {
// Return value
$returnValue = array ();
// echo 'extractCellRange('.$pRange.') ';
if (!is_null($pSheet)) {
// echo 'Passed sheet name is '.$pSheet->getTitle().' ';
// echo 'Range reference is '.$pRange.' ';
if (strpos ($pRange, '!') !== false) {
// echo '$pRange reference includes sheet reference ';
$worksheetReference = PHPExcel_Worksheet::extractSheetTitle($pRange, true);
$pSheet = $pSheet->getParent()->getSheetByName($worksheetReference[0]);
// echo 'New sheet name is '.$pSheet->getTitle().' ';
$pRange = $worksheetReference[1];
// echo 'Adjusted Range reference is '.$pRange.' ';
}
// Extract range
$aReferences = PHPExcel_Cell::extractAllCellReferencesInRange($pRange);
$pRange = $pSheet->getTitle().'!'.$pRange;
if (count($aReferences) == 1) {
list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($aReferences[0]);
if ($pSheet->cellExists($aReferences[0])) {
$returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);
} else {
$returnValue[$currentRow][$currentCol] = NULL;
}
} else {
// Extract cell data
foreach ($aReferences as $reference) {
// Extract range
list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($reference);
if ($pSheet->cellExists($reference)) {
$returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);
} else {
$returnValue[$currentRow][$currentCol] = NULL;
}
}
}
}
// Return
return $returnValue;
} // function extractCellRange()
/**
* Extract range values
*
* @param string &$pRange String based range representation
* @param PHPExcel_Worksheet $pSheet Worksheet
* @return mixed Array of values in range if range contains more than one element. Otherwise, a single value is returned.
* @throws Exception
*/
public function extractNamedRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = null, $resetLog=true) {
// Return value
$returnValue = array ();
// echo 'extractNamedRange('.$pRange.') ';
if (!is_null($pSheet)) {
// echo 'Current sheet name is '.$pSheet->getTitle().' ';
// echo 'Range reference is '.$pRange.' ';
if (strpos ($pRange, '!') !== false) {
// echo '$pRange reference includes sheet reference ';
$worksheetReference = PHPExcel_Worksheet::extractSheetTitle($pRange, true);
$pSheet = $pSheet->getParent()->getSheetByName($worksheetReference[0]);
// echo 'New sheet name is '.$pSheet->getTitle().' ';
$pRange = $worksheetReference[1];
// echo 'Adjusted Range reference is '.$pRange.' ';
}
// Named range?
$namedRange = PHPExcel_NamedRange::resolveRange($pRange, $pSheet);
if (!is_null($namedRange)) {
// echo 'Named Range '.$pRange.' (';
$pRange = $namedRange->getRange();
// echo $pRange.') is in sheet '.$namedRange->getWorksheet()->getTitle().' ';
if ($pSheet->getTitle() != $namedRange->getWorksheet()->getTitle()) {
if (!$namedRange->getLocalOnly()) {
$pSheet = $namedRange->getWorksheet();
} else {
return $returnValue;
}
}
} else {
return PHPExcel_Calculation_Functions::REF();
}
// Extract range
$aReferences = PHPExcel_Cell::extractAllCellReferencesInRange($pRange);
if (count($aReferences) == 1) {
list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($aReferences[0]);
if ($pSheet->cellExists($aReferences[0])) {
$returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);
} else {
$returnValue[$currentRow][$currentCol] = NULL;
}
} else {
// Extract cell data
foreach ($aReferences as $reference) {
// Extract range
list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($reference);
// echo 'NAMED RANGE: $currentCol='.$currentCol.' $currentRow='.$currentRow.' ';
if ($pSheet->cellExists($reference)) {
$returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);
} else {
$returnValue[$currentRow][$currentCol] = NULL;
}
}
}
// print_r($returnValue);
// echo ' ';
}
// Return
return $returnValue;
} // function extractNamedRange()
/**
* Is a specific function implemented?
*
* @param string $pFunction Function Name
* @return boolean
*/
public function isImplemented($pFunction = '') {
$pFunction = strtoupper ($pFunction);
if (isset($this->_PHPExcelFunctions[$pFunction])) {
return ($this->_PHPExcelFunctions[$pFunction]['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY');
} else {
return false;
}
} // function isImplemented()
/**
* Get a list of all implemented functions as an array of function objects
*
* @return array of PHPExcel_Calculation_Function
*/
public function listFunctions() {
// Return value
$returnValue = array();
// Loop functions
foreach($this->_PHPExcelFunctions as $functionName => $function) {
if ($function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY') {
$returnValue[$functionName] = new PHPExcel_Calculation_Function($function['category'],
$functionName,
$function['functionCall']
);
}
}
// Return
return $returnValue;
} // function listFunctions()
/**
* Get a list of implemented Excel function names
*
* @return array
*/
public function listFunctionNames() {
return array_keys($this->_PHPExcelFunctions);
} // function listFunctionNames()
} // class PHPExcel_Calculation
// for internal use
class PHPExcel_Token_Stack {
private $_stack = array();
private $_count = 0;
public function count() {
return $this->_count;
} // function count()
public function push($type,$value,$reference=null) {
$this->_stack[$this->_count++] = array('type' => $type,
'value' => $value,
'reference' => $reference
);
} // function push()
public function pop() {
if ($this->_count > 0) {
return $this->_stack[--$this->_count];
}
return null;
} // function pop()
public function last($n=1) {
if ($this->_count-$n < 0) {
return null;
}
return $this->_stack[$this->_count-$n];
} // function last()
function __construct() {
}
} // class PHPExcel_Token_Stack

Source for file Calculation.php