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| <?php/** * PHPExcel * * Copyright (c) 2006 - 2014 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 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel) * @license	http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt	LGPL * @version	1.8.0, 2014-03-02 *//** PHPExcel root directory */if (!defined('PHPEXCEL_ROOT')) {	/**	 * @ignore	 */	define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../');	require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');}if (!defined('CALCULATION_REGEXP_CELLREF')) {	//	Test for support of \P (multibyte options) in PCRE	if(defined('PREG_BAD_UTF8_ERROR')) {		//	Cell reference (cell or range of cells, with or without a sheet reference)		define('CALCULATION_REGEXP_CELLREF','((([^\s,!&%^\/\*\+<>=-]*)|(\'[^\']*\')|(\"[^\"]*\"))!)?\$?([a-z]{1,3})\$?(\d{1,7})');		//	Named Range of cells		define('CALCULATION_REGEXP_NAMEDRANGE','((([^\s,!&%^\/\*\+<>=-]*)|(\'[^\']*\')|(\"[^\"]*\"))!)?([_A-Z][_A-Z0-9\.]*)');	} else {		//	Cell reference (cell or range of cells, with or without a sheet reference)		define('CALCULATION_REGEXP_CELLREF','(((\w*)|(\'[^\']*\')|(\"[^\"]*\"))!)?\$?([a-z]{1,3})\$?(\d+)');		//	Named Range of cells		define('CALCULATION_REGEXP_NAMEDRANGE','(((\w*)|(\'.*\')|(\".*\"))!)?([_A-Z][_A-Z0-9\.]*)');	}}/** * PHPExcel_Calculation (Multiton) * * @category	PHPExcel * @package		PHPExcel_Calculation * @copyright	Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel) */class PHPExcel_Calculation {	/** Constants				*/	/** Regular Expressions		*/	//	Numeric operand	const CALCULATION_REGEXP_NUMBER		= '[-+]?\d*\.?\d+(e[-+]?\d+)?';	//	String operand	const CALCULATION_REGEXP_STRING		= '"(?:[^"]|"")*"';	//	Opening bracket	const CALCULATION_REGEXP_OPENBRACE	= '\(';	//	Function (allow for the old @ symbol that could be used to prefix a function, but we'll ignore it)	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	= CALCULATION_REGEXP_CELLREF;	//	Named Range of cells	const CALCULATION_REGEXP_NAMEDRANGE	= CALCULATION_REGEXP_NAMEDRANGE;	//	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;	/**	 * Instance of the workbook this Calculation Engine is using	 *	 * @access	private	 * @var PHPExcel	 */    private $_workbook;	/**	 * List of instances of the calculation engine that we've instantiated for individual workbooks	 *	 * @access	private	 * @var PHPExcel_Calculation[]	 */    private static $_workbookSets;	/**	 * Calculation cache	 *	 * @access	private	 * @var array	 */	private $_calculationCache = array ();	/**	 * Calculation cache enabled	 *	 * @access	private	 * @var boolean	 */	private $_calculationCacheEnabled = TRUE;	/**	 * List of operators that can be used within formulae	 * The true/false value indicates whether it is a binary operator or a unary operator	 *	 * @access	private	 * @var array	 */	private static $_operators			= array('+' => TRUE,	'-' => TRUE,	'*' => TRUE,	'/' => TRUE,												'^' => TRUE,	'&' => TRUE,	'%' => FALSE,	'~' => FALSE,												'>' => TRUE,	'<' => TRUE,	'=' => TRUE,	'>=' => TRUE,												'<=' => TRUE,	'<>' => TRUE,	'|' => TRUE,	':' => TRUE											   );	/**	 * List of binary operators (those that expect two operands)	 *	 * @access	private	 * @var array	 */	private static $_binaryOperators	= array('+' => TRUE,	'-' => TRUE,	'*' => TRUE,	'/' => TRUE,												'^' => TRUE,	'&' => TRUE,	'>' => TRUE,	'<' => TRUE,												'=' => TRUE,	'>=' => TRUE,	'<=' => TRUE,	'<>' => TRUE,												'|' => TRUE,	':' => TRUE											   );	/**	 * The debug log generated by the calculation engine	 *	 * @access	private	 * @var PHPExcel_CalcEngine_Logger	 *	 */	private $debugLog;	/**	 * Flag to determine how formula errors should be handled	 *		If true, then a user error will be triggered	 *		If false, then an exception will be thrown	 *	 * @access	public	 * @var boolean	 *	 */	public $suppressFormulaErrors = FALSE;	/**	 * Error message for any error that was raised/thrown by the calculation engine	 *	 * @access	public	 * @var string	 *	 */	public $formulaError = NULL;	/**	 * An array of the nested cell references accessed by the calculation engine, used for the debug log	 *	 * @access	private	 * @var array of string	 *	 */	private $_cyclicReferenceStack;	/**	 * Current iteration counter for cyclic formulae	 * If the value is 0 (or less) then cyclic formulae will throw an exception,	 *    otherwise they will iterate to the limit defined here before returning a result	 *	 * @var integer	 *	 */	private $_cyclicFormulaCount = 0;	private $_cyclicFormulaCell = '';	/**	 * Number of iterations for cyclic formulae	 *	 * @var integer	 *	 */	public $cyclicFormulaCount = 0;	/**	 * Precision used for calculations	 *	 * @var integer	 *	 */	private $_savedPrecision	= 14;	/**	 * The current locale setting	 *	 * @var string	 *	 */	private static $_localeLanguage = 'en_us';					//	US English	(default locale)	/**	 * List of available locale settings	 * Note that this is read for the locale subdirectory only when requested	 *	 * @var string[]	 *	 */	private static $_validLocaleLanguages = array(	'en'		//	English		(default language)												 );	/**	 * Locale-specific argument separator for function arguments	 *	 * @var string	 *	 */	private static $_localeArgumentSeparator = ',';	private static $_localeFunctions = array();	/**	 * Locale-specific translations for Excel constants (True, False and Null)	 *	 * @var string[]	 *	 */	public static $_localeBoolean = array(	'TRUE'	=> 'TRUE',											'FALSE'	=> 'FALSE',											'NULL'	=> 'NULL'										  );	/**	 * Excel constant string translations to their PHP equivalents	 * Constant conversion from text name/value to actual (datatyped) value	 *	 * @var string[]	 *	 */	private static $_ExcelConstants = array('TRUE'	=> TRUE,											'FALSE'	=> FALSE,											'NULL'	=> NULL										   );	//	PHPExcel functions	private static $_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_Financial::ACCRINT',												 'argumentCount'	=>	'4-7'												),				'ACCRINTM'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::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_LookupRef::CELL_ADDRESS',												 'argumentCount'	=>	'2-5'												),				'AMORDEGRC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::AMORDEGRC',												 'argumentCount'	=>	'6,7'												),				'AMORLINC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::AMORLINC',												 'argumentCount'	=>	'6,7'												),				'AND'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOGICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Logical::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_MathTrig::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_Statistical::AVEDEV',												 'argumentCount'	=>	'1+'												),				'AVERAGE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::AVERAGE',												 'argumentCount'	=>	'1+'												),				'AVERAGEA'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::AVERAGEA',												 'argumentCount'	=>	'1+'												),				'AVERAGEIF'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::AVERAGEIF',												 '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_Engineering::BESSELI',												 'argumentCount'	=>	'2'												),				'BESSELJ'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::BESSELJ',												 'argumentCount'	=>	'2'												),				'BESSELK'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::BESSELK',												 'argumentCount'	=>	'2'												),				'BESSELY'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::BESSELY',												 'argumentCount'	=>	'2'												),				'BETADIST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::BETADIST',												 'argumentCount'	=>	'3-5'												),				'BETAINV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::BETAINV',												 'argumentCount'	=>	'3-5'												),				'BIN2DEC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::BINTODEC',												 'argumentCount'	=>	'1'												),				'BIN2HEX'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::BINTOHEX',												 'argumentCount'	=>	'1,2'												),				'BIN2OCT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::BINTOOCT',												 'argumentCount'	=>	'1,2'												),				'BINOMDIST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::BINOMDIST',												 'argumentCount'	=>	'4'												),				'CEILING'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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_TextData::CHARACTER',												 'argumentCount'	=>	'1'												),				'CHIDIST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::CHIDIST',												 'argumentCount'	=>	'2'												),				'CHIINV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_LookupRef::CHOOSE',												 'argumentCount'	=>	'2+'												),				'CLEAN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::TRIMNONPRINTABLE',												 'argumentCount'	=>	'1'												),				'CODE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::ASCIICODE',												 'argumentCount'	=>	'1'												),				'COLUMN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::COLUMN',												 'argumentCount'	=>	'-1',												 'passByReference'	=>	array(TRUE)												),				'COLUMNS'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::COLUMNS',												 'argumentCount'	=>	'1'												),				'COMBIN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::COMBIN',												 'argumentCount'	=>	'2'												),				'COMPLEX'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::COMPLEX',												 'argumentCount'	=>	'2,3'												),				'CONCATENATE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::CONCATENATE',												 'argumentCount'	=>	'1+'												),				'CONFIDENCE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::CONFIDENCE',												 'argumentCount'	=>	'3'												),				'CONVERT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::CONVERTUOM',												 'argumentCount'	=>	'3'												),				'CORREL'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_Statistical::COUNT',												 'argumentCount'	=>	'1+'												),				'COUNTA'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::COUNTA',												 'argumentCount'	=>	'1+'												),				'COUNTBLANK'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::COUNTBLANK',												 'argumentCount'	=>	'1'												),				'COUNTIF'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_Financial::COUPDAYBS',												 'argumentCount'	=>	'3,4'												),				'COUPDAYS'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::COUPDAYS',												 'argumentCount'	=>	'3,4'												),				'COUPDAYSNC'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::COUPDAYSNC',												 'argumentCount'	=>	'3,4'												),				'COUPNCD'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::COUPNCD',												 'argumentCount'	=>	'3,4'												),				'COUPNUM'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::COUPNUM',												 'argumentCount'	=>	'3,4'												),				'COUPPCD'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::COUPPCD',												 'argumentCount'	=>	'3,4'												),				'COVAR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::COVAR',												 'argumentCount'	=>	'2'												),				'CRITBINOM'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_Financial::CUMIPMT',												 'argumentCount'	=>	'6'												),				'CUMPRINC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::CUMPRINC',												 'argumentCount'	=>	'6'												),				'DATE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DATE',												 'argumentCount'	=>	'3'												),				'DATEDIF'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DATEDIF',												 'argumentCount'	=>	'2,3'												),				'DATEVALUE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DATEVALUE',												 'argumentCount'	=>	'1'												),				'DAVERAGE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DAVERAGE',												 'argumentCount'	=>	'3'												),				'DAY'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DAYOFMONTH',												 'argumentCount'	=>	'1'												),				'DAYS360'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DAYS360',												 'argumentCount'	=>	'2,3'												),				'DB'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::DB',												 'argumentCount'	=>	'4,5'												),				'DCOUNT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DCOUNT',												 'argumentCount'	=>	'3'												),				'DCOUNTA'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DCOUNTA',												 'argumentCount'	=>	'3'												),				'DDB'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::DDB',												 'argumentCount'	=>	'4,5'												),				'DEC2BIN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::DECTOBIN',												 'argumentCount'	=>	'1,2'												),				'DEC2HEX'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::DECTOHEX',												 'argumentCount'	=>	'1,2'												),				'DEC2OCT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::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_Engineering::DELTA',												 'argumentCount'	=>	'1,2'												),				'DEVSQ'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::DEVSQ',												 'argumentCount'	=>	'1+'												),				'DGET'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DGET',												 'argumentCount'	=>	'3'												),				'DISC'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::DISC',												 'argumentCount'	=>	'4,5'												),				'DMAX'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DMAX',												 'argumentCount'	=>	'3'												),				'DMIN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DMIN',												 'argumentCount'	=>	'3'												),				'DOLLAR'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::DOLLAR',												 'argumentCount'	=>	'1,2'												),				'DOLLARDE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::DOLLARDE',												 'argumentCount'	=>	'2'												),				'DOLLARFR'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::DOLLARFR',												 'argumentCount'	=>	'2'												),				'DPRODUCT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DPRODUCT',												 'argumentCount'	=>	'3'												),				'DSTDEV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DSTDEV',												 'argumentCount'	=>	'3'												),				'DSTDEVP'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DSTDEVP',												 'argumentCount'	=>	'3'												),				'DSUM'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DSUM',												 'argumentCount'	=>	'3'												),				'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_Database::DVAR',												 'argumentCount'	=>	'3'												),				'DVARP'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATABASE,												 'functionCall'		=>	'PHPExcel_Calculation_Database::DVARP',												 'argumentCount'	=>	'3'												),				'EDATE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::EDATE',												 'argumentCount'	=>	'2'												),				'EFFECT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::EFFECT',												 'argumentCount'	=>	'2'												),				'EOMONTH'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::EOMONTH',												 'argumentCount'	=>	'2'												),				'ERF'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::ERF',												 'argumentCount'	=>	'1,2'												),				'ERFC'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::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_MathTrig::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_Statistical::EXPONDIST',												 'argumentCount'	=>	'3'												),				'FACT'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::FACT',												 'argumentCount'	=>	'1'												),				'FACTDOUBLE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::FACTDOUBLE',												 'argumentCount'	=>	'1'												),				'FALSE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOGICAL,												 'functionCall'		=>	'PHPExcel_Calculation_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_TextData::SEARCHSENSITIVE',												 'argumentCount'	=>	'2,3'												),				'FINDB'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::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_Statistical::FISHER',												 'argumentCount'	=>	'1'												),				'FISHERINV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::FISHERINV',												 'argumentCount'	=>	'1'												),				'FIXED'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::FIXEDFORMAT',												 'argumentCount'	=>	'1-3'												),				'FLOOR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::FLOOR',												 'argumentCount'	=>	'2'												),				'FORECAST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_Financial::FV',												 'argumentCount'	=>	'3-5'												),				'FVSCHEDULE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::FVSCHEDULE',												 'argumentCount'	=>	'2'												),				'GAMMADIST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::GAMMADIST',												 'argumentCount'	=>	'4'												),				'GAMMAINV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::GAMMAINV',												 'argumentCount'	=>	'3'												),				'GAMMALN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::GAMMALN',												 'argumentCount'	=>	'1'												),				'GCD'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::GCD',												 'argumentCount'	=>	'1+'												),				'GEOMEAN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::GEOMEAN',												 'argumentCount'	=>	'1+'												),				'GESTEP'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::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_Statistical::GROWTH',												 'argumentCount'	=>	'1-4'												),				'HARMEAN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::HARMEAN',												 'argumentCount'	=>	'1+'												),				'HEX2BIN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::HEXTOBIN',												 'argumentCount'	=>	'1,2'												),				'HEX2DEC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::HEXTODEC',												 'argumentCount'	=>	'1'												),				'HEX2OCT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::HEXTOOCT',												 'argumentCount'	=>	'1,2'												),				'HLOOKUP'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::HLOOKUP',												 'argumentCount'	=>	'3,4'												),				'HOUR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::HOUROFDAY',												 'argumentCount'	=>	'1'												),				'HYPERLINK'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::HYPERLINK',												 'argumentCount'	=>	'1,2',												 'passCellReference'=>	TRUE												),				'HYPGEOMDIST'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::HYPGEOMDIST',												 'argumentCount'	=>	'4'												),				'IF'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOGICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Logical::STATEMENT_IF',												 'argumentCount'	=>	'1-3'												),				'IFERROR'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOGICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Logical::IFERROR',												 'argumentCount'	=>	'2'												),				'IMABS'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMABS',												 'argumentCount'	=>	'1'												),				'IMAGINARY'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMAGINARY',												 'argumentCount'	=>	'1'												),				'IMARGUMENT'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMARGUMENT',												 'argumentCount'	=>	'1'												),				'IMCONJUGATE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMCONJUGATE',												 'argumentCount'	=>	'1'												),				'IMCOS'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMCOS',												 'argumentCount'	=>	'1'												),				'IMDIV'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMDIV',												 'argumentCount'	=>	'2'												),				'IMEXP'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMEXP',												 'argumentCount'	=>	'1'												),				'IMLN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMLN',												 'argumentCount'	=>	'1'												),				'IMLOG10'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMLOG10',												 'argumentCount'	=>	'1'												),				'IMLOG2'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMLOG2',												 'argumentCount'	=>	'1'												),				'IMPOWER'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMPOWER',												 'argumentCount'	=>	'2'												),				'IMPRODUCT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMPRODUCT',												 'argumentCount'	=>	'1+'												),				'IMREAL'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMREAL',												 'argumentCount'	=>	'1'												),				'IMSIN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMSIN',												 'argumentCount'	=>	'1'												),				'IMSQRT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMSQRT',												 'argumentCount'	=>	'1'												),				'IMSUB'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMSUB',												 'argumentCount'	=>	'2'												),				'IMSUM'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::IMSUM',												 'argumentCount'	=>	'1+'												),				'INDEX'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::INDEX',												 'argumentCount'	=>	'1-4'												),				'INDIRECT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::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_MathTrig::INT',												 'argumentCount'	=>	'1'												),				'INTERCEPT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::INTERCEPT',												 'argumentCount'	=>	'2'												),				'INTRATE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::INTRATE',												 'argumentCount'	=>	'4,5'												),				'IPMT'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::IPMT',												 'argumentCount'	=>	'4-6'												),				'IRR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::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_Financial::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_Statistical::KURT',												 'argumentCount'	=>	'1+'												),				'LARGE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::LARGE',												 'argumentCount'	=>	'2'												),				'LCM'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::LCM',												 'argumentCount'	=>	'1+'												),				'LEFT'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::LEFT',												 'argumentCount'	=>	'1,2'												),				'LEFTB'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::LEFT',												 'argumentCount'	=>	'1,2'												),				'LEN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::STRINGLENGTH',												 'argumentCount'	=>	'1'												),				'LENB'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::STRINGLENGTH',												 'argumentCount'	=>	'1'												),				'LINEST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_MathTrig::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_Statistical::LOGEST',												 'argumentCount'	=>	'1-4'												),				'LOGINV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::LOGINV',												 'argumentCount'	=>	'3'												),				'LOGNORMDIST'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::LOGNORMDIST',												 'argumentCount'	=>	'3'												),				'LOOKUP'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::LOOKUP',												 'argumentCount'	=>	'2,3'												),				'LOWER'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::LOWERCASE',												 'argumentCount'	=>	'1'												),				'MATCH'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::MATCH',												 'argumentCount'	=>	'2,3'												),				'MAX'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::MAX',												 'argumentCount'	=>	'1+'												),				'MAXA'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::MAXA',												 'argumentCount'	=>	'1+'												),				'MAXIF'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::MAXIF',												 'argumentCount'	=>	'2+'												),				'MDETERM'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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_Statistical::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_TextData::MID',												 'argumentCount'	=>	'3'												),				'MIDB'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::MID',												 'argumentCount'	=>	'3'												),				'MIN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::MIN',												 'argumentCount'	=>	'1+'												),				'MINA'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::MINA',												 'argumentCount'	=>	'1+'												),				'MINIF'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::MINIF',												 'argumentCount'	=>	'2+'												),				'MINUTE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::MINUTEOFHOUR',												 'argumentCount'	=>	'1'												),				'MINVERSE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::MINVERSE',												 'argumentCount'	=>	'1'												),				'MIRR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::MIRR',												 'argumentCount'	=>	'3'												),				'MMULT'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::MMULT',												 'argumentCount'	=>	'2'												),				'MOD'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::MOD',												 'argumentCount'	=>	'2'												),				'MODE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::MODE',												 'argumentCount'	=>	'1+'												),				'MONTH'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::MONTHOFYEAR',												 'argumentCount'	=>	'1'												),				'MROUND'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::MROUND',												 'argumentCount'	=>	'2'												),				'MULTINOMIAL'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::MULTINOMIAL',												 'argumentCount'	=>	'1+'												),				'N'						=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_INFORMATION,												 'functionCall'		=>	'PHPExcel_Calculation_Functions::N',												 '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_Statistical::NEGBINOMDIST',												 'argumentCount'	=>	'3'												),				'NETWORKDAYS'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::NETWORKDAYS',												 'argumentCount'	=>	'2+'												),				'NOMINAL'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::NOMINAL',												 'argumentCount'	=>	'2'												),				'NORMDIST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::NORMDIST',												 'argumentCount'	=>	'4'												),				'NORMINV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::NORMINV',												 'argumentCount'	=>	'3'												),				'NORMSDIST'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::NORMSDIST',												 'argumentCount'	=>	'1'												),				'NORMSINV'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::NORMSINV',												 'argumentCount'	=>	'1'												),				'NOT'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOGICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Logical::NOT',												 'argumentCount'	=>	'1'												),				'NOW'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DATETIMENOW',												 'argumentCount'	=>	'0'												),				'NPER'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::NPER',												 'argumentCount'	=>	'3-5'												),				'NPV'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::NPV',												 'argumentCount'	=>	'2+'												),				'OCT2BIN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::OCTTOBIN',												 'argumentCount'	=>	'1,2'												),				'OCT2DEC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::OCTTODEC',												 'argumentCount'	=>	'1'												),				'OCT2HEX'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,												 'functionCall'		=>	'PHPExcel_Calculation_Engineering::OCTTOHEX',												 'argumentCount'	=>	'1,2'												),				'ODD'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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_LookupRef::OFFSET',												 'argumentCount'	=>	'3,5',												 'passCellReference'=>	TRUE,												 'passByReference'	=>	array(TRUE)												),				'OR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOGICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Logical::LOGICAL_OR',												 'argumentCount'	=>	'1+'												),				'PEARSON'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::CORREL',												 'argumentCount'	=>	'2'												),				'PERCENTILE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::PERCENTILE',												 'argumentCount'	=>	'2'												),				'PERCENTRANK'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::PERCENTRANK',												 'argumentCount'	=>	'2,3'												),				'PERMUT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_Financial::PMT',												 'argumentCount'	=>	'3-5'												),				'POISSON'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::POISSON',												 'argumentCount'	=>	'3'												),				'POWER'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::POWER',												 'argumentCount'	=>	'2'												),				'PPMT'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::PPMT',												 'argumentCount'	=>	'4-6'												),				'PRICE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::PRICE',												 'argumentCount'	=>	'6,7'												),				'PRICEDISC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::PRICEDISC',												 'argumentCount'	=>	'4,5'												),				'PRICEMAT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::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_MathTrig::PRODUCT',												 'argumentCount'	=>	'1+'												),				'PROPER'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::PROPERCASE',												 'argumentCount'	=>	'1'												),				'PV'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::PV',												 'argumentCount'	=>	'3-5'												),				'QUARTILE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::QUARTILE',												 'argumentCount'	=>	'2'												),				'QUOTIENT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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_MathTrig::RAND',												 'argumentCount'	=>	'0'												),				'RANDBETWEEN'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::RAND',												 'argumentCount'	=>	'2'												),				'RANK'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::RANK',												 'argumentCount'	=>	'2,3'												),				'RATE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::RATE',												 'argumentCount'	=>	'3-6'												),				'RECEIVED'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::RECEIVED',												 'argumentCount'	=>	'4-5'												),				'REPLACE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::REPLACE',												 'argumentCount'	=>	'4'												),				'REPLACEB'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::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_TextData::RIGHT',												 'argumentCount'	=>	'1,2'												),				'RIGHTB'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::RIGHT',												 'argumentCount'	=>	'1,2'												),				'ROMAN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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_MathTrig::ROUNDDOWN',												 'argumentCount'	=>	'2'												),				'ROUNDUP'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::ROUNDUP',												 'argumentCount'	=>	'2'												),				'ROW'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::ROW',												 'argumentCount'	=>	'-1',												 'passByReference'	=>	array(TRUE)												),				'ROWS'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::ROWS',												 'argumentCount'	=>	'1'												),				'RSQ'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_TextData::SEARCHINSENSITIVE',												 'argumentCount'	=>	'2,3'												),				'SEARCHB'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::SEARCHINSENSITIVE',												 'argumentCount'	=>	'2,3'												),				'SECOND'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::SECONDOFMINUTE',												 'argumentCount'	=>	'1'												),				'SERIESSUM'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::SERIESSUM',												 'argumentCount'	=>	'4'												),				'SIGN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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_Statistical::SKEW',												 'argumentCount'	=>	'1+'												),				'SLN'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::SLN',												 'argumentCount'	=>	'3'												),				'SLOPE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::SLOPE',												 'argumentCount'	=>	'2'												),				'SMALL'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_MathTrig::SQRTPI',												 'argumentCount'	=>	'1'												),				'STANDARDIZE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::STANDARDIZE',												 'argumentCount'	=>	'3'												),				'STDEV'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::STDEV',												 'argumentCount'	=>	'1+'												),				'STDEVA'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::STDEVA',												 'argumentCount'	=>	'1+'												),				'STDEVP'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::STDEVP',												 'argumentCount'	=>	'1+'												),				'STDEVPA'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::STDEVPA',												 'argumentCount'	=>	'1+'												),				'STEYX'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::STEYX',												 'argumentCount'	=>	'2'												),				'SUBSTITUTE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::SUBSTITUTE',												 'argumentCount'	=>	'3,4'												),				'SUBTOTAL'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::SUBTOTAL',												 'argumentCount'	=>	'2+'												),				'SUM'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::SUM',												 'argumentCount'	=>	'1+'												),				'SUMIF'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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_MathTrig::SUMPRODUCT',												 'argumentCount'	=>	'1+'												),				'SUMSQ'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::SUMSQ',												 'argumentCount'	=>	'1+'												),				'SUMX2MY2'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::SUMX2MY2',												 'argumentCount'	=>	'2'												),				'SUMX2PY2'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::SUMX2PY2',												 'argumentCount'	=>	'2'												),				'SUMXMY2'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::SUMXMY2',												 'argumentCount'	=>	'2'												),				'SYD'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::SYD',												 'argumentCount'	=>	'4'												),				'T'						=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::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_Financial::TBILLEQ',												 'argumentCount'	=>	'3'												),				'TBILLPRICE'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::TBILLPRICE',												 'argumentCount'	=>	'3'												),				'TBILLYIELD'			=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::TBILLYIELD',												 'argumentCount'	=>	'3'												),				'TDIST'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::TDIST',												 'argumentCount'	=>	'3'												),				'TEXT'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::TEXTFORMAT',												 'argumentCount'	=>	'2'												),				'TIME'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::TIME',												 'argumentCount'	=>	'3'												),				'TIMEVALUE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::TIMEVALUE',												 'argumentCount'	=>	'1'												),				'TINV'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::TINV',												 'argumentCount'	=>	'2'												),				'TODAY'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DATENOW',												 'argumentCount'	=>	'0'												),				'TRANSPOSE'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,												 'functionCall'		=>	'PHPExcel_Calculation_LookupRef::TRANSPOSE',												 'argumentCount'	=>	'1'												),				'TREND'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::TREND',												 'argumentCount'	=>	'1-4'												),				'TRIM'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::TRIMSPACES',												 'argumentCount'	=>	'1'												),				'TRIMMEAN'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::TRIMMEAN',												 'argumentCount'	=>	'2'												),				'TRUE'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_LOGICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Logical::TRUE',												 'argumentCount'	=>	'0'												),				'TRUNC'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,												 'functionCall'		=>	'PHPExcel_Calculation_MathTrig::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::TYPE',												 'argumentCount'	=>	'1'												),				'UPPER'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,												 'functionCall'		=>	'PHPExcel_Calculation_TextData::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_Statistical::VARFunc',												 'argumentCount'	=>	'1+'												),				'VARA'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::VARA',												 'argumentCount'	=>	'1+'												),				'VARP'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::VARP',												 'argumentCount'	=>	'1+'												),				'VARPA'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::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_LookupRef::VLOOKUP',												 'argumentCount'	=>	'3,4'												),				'WEEKDAY'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::DAYOFWEEK',												 'argumentCount'	=>	'1,2'												),				'WEEKNUM'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::WEEKOFYEAR',												 'argumentCount'	=>	'1,2'												),				'WEIBULL'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::WEIBULL',												 'argumentCount'	=>	'4'												),				'WORKDAY'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::WORKDAY',												 'argumentCount'	=>	'2+'												),				'XIRR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::XIRR',												 'argumentCount'	=>	'2,3'												),				'XNPV'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::XNPV',												 'argumentCount'	=>	'3'												),				'YEAR'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::YEAR',												 'argumentCount'	=>	'1'												),				'YEARFRAC'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,												 'functionCall'		=>	'PHPExcel_Calculation_DateTime::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_Financial::YIELDDISC',												 'argumentCount'	=>	'4,5'												),				'YIELDMAT'				=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,												 'functionCall'		=>	'PHPExcel_Calculation_Financial::YIELDMAT',												 'argumentCount'	=>	'5,6'												),				'ZTEST'					=> array('category'			=>	PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,												 'functionCall'		=>	'PHPExcel_Calculation_Statistical::ZTEST',												 'argumentCount'	=>	'2-3'												)			);	//	Internal functions used for special control purposes	private static $_controlFunctions = array(				'MKMATRIX'	=> array('argumentCount'	=>	'*',									 'functionCall'		=>	'self::_mkMatrix'									)			);	private function __construct(PHPExcel $workbook = NULL) {		$setPrecision = (PHP_INT_SIZE == 4) ? 14 : 16;		$this->_savedPrecision = ini_get('precision');		if ($this->_savedPrecision < $setPrecision) {			ini_set('precision',$setPrecision);		}		if ($workbook !== NULL) {			self::$_workbookSets[$workbook->getID()] = $this;		}		$this->_workbook = $workbook;		$this->_cyclicReferenceStack = new PHPExcel_CalcEngine_CyclicReferenceStack();	    $this->_debugLog = new PHPExcel_CalcEngine_Logger($this->_cyclicReferenceStack);	}	//	function __construct()	public function __destruct() {		if ($this->_savedPrecision != ini_get('precision')) {			ini_set('precision',$this->_savedPrecision);		}	}	private static function _loadLocales() {		$localeFileDirectory = PHPEXCEL_ROOT.'PHPExcel/locale/';		foreach (glob($localeFileDirectory.'/*',GLOB_ONLYDIR) as $filename) {			$filename = substr($filename,strlen($localeFileDirectory)+1);			if ($filename != 'en') {				self::$_validLocaleLanguages[] = $filename;			}		}	}	/**	 * Get an instance of this class	 *	 * @access	public	 * @param   PHPExcel $workbook  Injected workbook for working with a PHPExcel object,	 *									or NULL to create a standalone claculation engine	 * @return PHPExcel_Calculation	 */	public static function getInstance(PHPExcel $workbook = NULL) {		if ($workbook !== NULL) {    		if (isset(self::$_workbookSets[$workbook->getID()])) {    			return self::$_workbookSets[$workbook->getID()];    		}			return new PHPExcel_Calculation($workbook);		}		if (!isset(self::$_instance) || (self::$_instance === NULL)) {			self::$_instance = new PHPExcel_Calculation();		}		return self::$_instance;	}	//	function getInstance()	/**	 * Unset an instance of this class	 *	 * @access	public	 * @param   PHPExcel $workbook  Injected workbook identifying the instance to unset	 */	public static function unsetInstance(PHPExcel $workbook = NULL) {		if ($workbook !== NULL) {    		if (isset(self::$_workbookSets[$workbook->getID()])) {    			unset(self::$_workbookSets[$workbook->getID()]);    		}		}    }	/**	 * Flush the calculation cache for any existing instance of this class	 *		but only if a PHPExcel_Calculation instance exists	 *	 * @access	public	 * @return null	 */	public function flushInstance() {		$this->clearCalculationCache();	}	//	function flushInstance()	/**	 * Get the debuglog for this claculation engine instance	 *	 * @access	public	 * @return PHPExcel_CalcEngine_Logger	 */	public function getDebugLog() {		return $this->_debugLog;	}	/**	 * __clone implementation. Cloning should not be allowed in a Singleton!	 *	 * @access	public	 * @throws	PHPExcel_Calculation_Exception	 */	public final function __clone() {		throw new PHPExcel_Calculation_Exception ('Cloning the calculation engine is not allowed!');	}	//	function __clone()	/**	 * Return the locale-specific translation of TRUE	 *	 * @access	public	 * @return	 string		locale-specific translation of TRUE	 */	public static function getTRUE() {		return self::$_localeBoolean['TRUE'];	}	/**	 * Return the locale-specific translation of FALSE	 *	 * @access	public	 * @return	 string		locale-specific translation of FALSE	 */	public static function getFALSE() {		return self::$_localeBoolean['FALSE'];	}	/**	 * 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 setArrayReturnType()	/**	 * 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 getArrayReturnType()	/**	 * 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()	/**	 * Clear calculation cache for a specified worksheet	 *	 * @param string $worksheetName	 */	public function clearCalculationCacheForWorksheet($worksheetName) {		if (isset($this->_calculationCache[$worksheetName])) {			unset($this->_calculationCache[$worksheetName]);		}	}	//	function clearCalculationCacheForWorksheet()	/**	 * Rename calculation cache for a specified worksheet	 *	 * @param string $fromWorksheetName	 * @param string $toWorksheetName	 */	public function renameCalculationCacheForWorksheet($fromWorksheetName, $toWorksheetName) {		if (isset($this->_calculationCache[$fromWorksheetName])) {			$this->_calculationCache[$toWorksheetName] = &$this->_calculationCache[$fromWorksheetName];			unset($this->_calculationCache[$fromWorksheetName]);		}	}	//	function renameCalculationCacheForWorksheet()	/**	 * Get the currently defined locale code	 *	 * @return string	 */	public function getLocale() {		return self::$_localeLanguage;	}	//	function getLocale()	/**	 * Set the locale code	 *	 * @param string $locale  The locale to use for formula translation	 * @return boolean	 */	public function setLocale($locale = 'en_us') {		//	Identify our locale and language		$language = $locale = strtolower($locale);		if (strpos($locale,'_') !== FALSE) {			list($language) = explode('_',$locale);		}		if (count(self::$_validLocaleLanguages) == 1)			self::_loadLocales();		//	Test whether we have any language data for this language (any locale)		if (in_array($language,self::$_validLocaleLanguages)) {			//	initialise language/locale settings			self::$_localeFunctions = array();			self::$_localeArgumentSeparator = ',';			self::$_localeBoolean = array('TRUE' => 'TRUE', 'FALSE' => 'FALSE', 'NULL' => 'NULL');			//	Default is English, if user isn't requesting english, then read the necessary data from the locale files			if ($locale != 'en_us') {				//	Search for a file with a list of function names for locale				$functionNamesFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.str_replace('_',DIRECTORY_SEPARATOR,$locale).DIRECTORY_SEPARATOR.'functions';				if (!file_exists($functionNamesFile)) {					//	If there isn't a locale specific function file, look for a language specific function file					$functionNamesFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.$language.DIRECTORY_SEPARATOR.'functions';					if (!file_exists($functionNamesFile)) {						return FALSE;					}				}				//	Retrieve the list of locale or language specific function names				$localeFunctions = file($functionNamesFile,FILE_IGNORE_NEW_LINES | FILE_SKIP_EMPTY_LINES);				foreach ($localeFunctions as $localeFunction) {					list($localeFunction) = explode('##',$localeFunction);	//	Strip out comments					if (strpos($localeFunction,'=') !== FALSE) {						list($fName,$lfName) = explode('=',$localeFunction);						$fName = trim($fName);						$lfName = trim($lfName);						if ((isset(self::$_PHPExcelFunctions[$fName])) && ($lfName != '') && ($fName != $lfName)) {							self::$_localeFunctions[$fName] = $lfName;						}					}				}				//	Default the TRUE and FALSE constants to the locale names of the TRUE() and FALSE() functions				if (isset(self::$_localeFunctions['TRUE'])) { self::$_localeBoolean['TRUE'] = self::$_localeFunctions['TRUE']; }				if (isset(self::$_localeFunctions['FALSE'])) { self::$_localeBoolean['FALSE'] = self::$_localeFunctions['FALSE']; }				$configFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.str_replace('_',DIRECTORY_SEPARATOR,$locale).DIRECTORY_SEPARATOR.'config';				if (!file_exists($configFile)) {					$configFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.$language.DIRECTORY_SEPARATOR.'config';				}				if (file_exists($configFile)) {					$localeSettings = file($configFile,FILE_IGNORE_NEW_LINES | FILE_SKIP_EMPTY_LINES);					foreach ($localeSettings as $localeSetting) {						list($localeSetting) = explode('##',$localeSetting);	//	Strip out comments						if (strpos($localeSetting,'=') !== FALSE) {							list($settingName,$settingValue) = explode('=',$localeSetting);							$settingName = strtoupper(trim($settingName));							switch ($settingName) {								case 'ARGUMENTSEPARATOR' :									self::$_localeArgumentSeparator = trim($settingValue);									break;							}						}					}				}			}			self::$functionReplaceFromExcel = self::$functionReplaceToExcel =			self::$functionReplaceFromLocale = self::$functionReplaceToLocale = NULL;			self::$_localeLanguage = $locale;			return TRUE;		}		return FALSE;	}	//	function setLocale()	public static function _translateSeparator($fromSeparator,$toSeparator,$formula,&$inBraces) {		$strlen = mb_strlen($formula);		for ($i = 0; $i < $strlen; ++$i) {			$chr = mb_substr($formula,$i,1);			switch ($chr) {				case '{' :	$inBraces = TRUE;							break;				case '}' :	$inBraces = FALSE;							break;				case $fromSeparator :							if (!$inBraces) {								$formula = mb_substr($formula,0,$i).$toSeparator.mb_substr($formula,$i+1);							}			}		}		return $formula;	}	private static function _translateFormula($from,$to,$formula,$fromSeparator,$toSeparator) {		//	Convert any Excel function names to the required language		if (self::$_localeLanguage !== 'en_us') {			$inBraces = FALSE;			//	If there is the possibility of braces within a quoted string, then we don't treat those as matrix indicators			if (strpos($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);				$i = FALSE;				foreach($temp as &$value) {					//	Only count/replace in alternating array entries					if ($i = !$i) {						$value = preg_replace($from,$to,$value);						$value = self::_translateSeparator($fromSeparator,$toSeparator,$value,$inBraces);					}				}				unset($value);				//	Then rebuild the formula string				$formula = implode('"',$temp);			} else {				//	If there's no quoted strings, then we do a simple count/replace				$formula = preg_replace($from,$to,$formula);				$formula = self::_translateSeparator($fromSeparator,$toSeparator,$formula,$inBraces);			}		}		return $formula;	}	private static $functionReplaceFromExcel	= NULL;	private static $functionReplaceToLocale		= NULL;	public function _translateFormulaToLocale($formula) {		if (self::$functionReplaceFromExcel === NULL) {			self::$functionReplaceFromExcel = array();			foreach(array_keys(self::$_localeFunctions) as $excelFunctionName) {				self::$functionReplaceFromExcel[] = '/(@?[^\w\.])'.preg_quote($excelFunctionName).'([\s]*\()/Ui';			}			foreach(array_keys(self::$_localeBoolean) as $excelBoolean) {				self::$functionReplaceFromExcel[] = '/(@?[^\w\.])'.preg_quote($excelBoolean).'([^\w\.])/Ui';			}		}		if (self::$functionReplaceToLocale === NULL) {			self::$functionReplaceToLocale = array();			foreach(array_values(self::$_localeFunctions) as $localeFunctionName) {				self::$functionReplaceToLocale[] = '$1'.trim($localeFunctionName).'$2';			}			foreach(array_values(self::$_localeBoolean) as $localeBoolean) {				self::$functionReplaceToLocale[] = '$1'.trim($localeBoolean).'$2';			}		}		return self::_translateFormula(self::$functionReplaceFromExcel,self::$functionReplaceToLocale,$formula,',',self::$_localeArgumentSeparator);	}	//	function _translateFormulaToLocale()	private static $functionReplaceFromLocale	= NULL;	private static $functionReplaceToExcel		= NULL;	public function _translateFormulaToEnglish($formula) {		if (self::$functionReplaceFromLocale === NULL) {			self::$functionReplaceFromLocale = array();			foreach(array_values(self::$_localeFunctions) as $localeFunctionName) {				self::$functionReplaceFromLocale[] = '/(@?[^\w\.])'.preg_quote($localeFunctionName).'([\s]*\()/Ui';			}			foreach(array_values(self::$_localeBoolean) as $excelBoolean) {				self::$functionReplaceFromLocale[] = '/(@?[^\w\.])'.preg_quote($excelBoolean).'([^\w\.])/Ui';			}		}		if (self::$functionReplaceToExcel === NULL) {			self::$functionReplaceToExcel = array();			foreach(array_keys(self::$_localeFunctions) as $excelFunctionName) {				self::$functionReplaceToExcel[] = '$1'.trim($excelFunctionName).'$2';			}			foreach(array_keys(self::$_localeBoolean) as $excelBoolean) {				self::$functionReplaceToExcel[] = '$1'.trim($excelBoolean).'$2';			}		}		return self::_translateFormula(self::$functionReplaceFromLocale,self::$functionReplaceToExcel,$formula,self::$_localeArgumentSeparator,',');	}	//	function _translateFormulaToEnglish()	public static function _localeFunc($function) {		if (self::$_localeLanguage !== 'en_us') {			$functionName = trim($function,'(');			if (isset(self::$_localeFunctions[$functionName])) {				$brace = ($functionName != $function);				$function = self::$_localeFunctions[$functionName];				if ($brace) { $function .= '('; }			}		}		return $function;	}	/**	 * 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 ((isset($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	PHPExcel_Calculation_Exception	 */	public function calculate(PHPExcel_Cell $pCell = NULL) {		try {			return $this->calculateCellValue($pCell);		} catch (PHPExcel_Exception $e) {			throw new PHPExcel_Calculation_Exception($e->getMessage());		}	}	//	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	PHPExcel_Calculation_Exception	 */	public function calculateCellValue(PHPExcel_Cell $pCell = NULL, $resetLog = TRUE) {		if ($pCell === NULL) {			return NULL;		}		$returnArrayAsType = self::$returnArrayAsType;		if ($resetLog) {			//	Initialise the logging settings if requested			$this->formulaError = null;			$this->_debugLog->clearLog();			$this->_cyclicReferenceStack->clear();			$this->_cyclicFormulaCount = 1;			self::$returnArrayAsType = self::RETURN_ARRAY_AS_ARRAY;		}		//	Execute the calculation for the cell formula		try {			$result = self::_unwrapResult($this->_calculateFormulaValue($pCell->getValue(), $pCell->getCoordinate(), $pCell));		} catch (PHPExcel_Exception $e) {			throw new PHPExcel_Calculation_Exception($e->getMessage());		}		if ((is_array($result)) && (self::$returnArrayAsType != self::RETURN_ARRAY_AS_ARRAY)) {			self::$returnArrayAsType = $returnArrayAsType;			$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_keys($result);				$r = array_shift($r);				if (!is_numeric($r)) { return PHPExcel_Calculation_Functions::VALUE(); }				if (is_array($result[$r])) {					$c = array_keys($result[$r]);					$c = array_shift($c);					if (!is_numeric($c)) {						return PHPExcel_Calculation_Functions::VALUE();					}				}			}			$result = array_shift($testResult);		}		self::$returnArrayAsType = $returnArrayAsType;		if ($result === NULL) {			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	PHPExcel_Calculation_Exception	 */	public function parseFormula($formula) {		//	Basic validation that this is indeed a formula		//	We return an empty array if not		$formula = trim($formula);		if ((!isset($formula{0})) || ($formula{0} != '=')) return array();		$formula = ltrim(substr($formula,1));		if (!isset($formula{0})) 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	 * @param	string			$cellID		Address of the cell to calculate	 * @param	PHPExcel_Cell	$pCell		Cell to calculate	 * @return	mixed	 * @throws	PHPExcel_Calculation_Exception	 */	public function calculateFormula($formula, $cellID=NULL, PHPExcel_Cell $pCell = NULL) {		//	Initialise the logging settings		$this->formulaError = null;		$this->_debugLog->clearLog();		$this->_cyclicReferenceStack->clear();		//	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		try {			$result = self::_unwrapResult($this->_calculateFormulaValue($formula, $cellID, $pCell));		} catch (PHPExcel_Exception $e) {			throw new PHPExcel_Calculation_Exception($e->getMessage());		}		//	Reset calculation cacheing to its previous state		$this->_calculationCacheEnabled = $resetCache;		return $result;	}	//	function calculateFormula()    public function getValueFromCache($worksheetName, $cellID, &$cellValue) {		// Is calculation cacheing enabled?		// Is the value present in calculation cache?//echo 'Test cache for ',$worksheetName,'!',$cellID,PHP_EOL;		$this->_debugLog->writeDebugLog('Testing cache value for cell ', $worksheetName, '!', $cellID);		if (($this->_calculationCacheEnabled) && (isset($this->_calculationCache[$worksheetName][$cellID]))) {//echo 'Retrieve from cache',PHP_EOL;			$this->_debugLog->writeDebugLog('Retrieving value for cell ', $worksheetName, '!', $cellID, ' from cache');			// Return the cached result			$cellValue = $this->_calculationCache[$worksheetName][$cellID];			return TRUE;		}		return FALSE;    }    public function saveValueToCache($worksheetName, $cellID, $cellValue) {		if ($this->_calculationCacheEnabled) {			$this->_calculationCache[$worksheetName][$cellID] = $cellValue;		}	}	/**	 * 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	PHPExcel_Calculation_Exception	 */	public function _calculateFormulaValue($formula, $cellID=null, PHPExcel_Cell $pCell = null) {		$cellValue = '';		//	Basic validation that this is indeed a formula		//	We simply return the cell value if not		$formula = trim($formula);		if ($formula{0} != '=') return self::_wrapResult($formula);		$formula = ltrim(substr($formula,1));		if (!isset($formula{0})) return self::_wrapResult($formula);		$pCellParent = ($pCell !== NULL) ? $pCell->getWorksheet() : NULL;		$wsTitle = ($pCellParent !== NULL) ? $pCellParent->getTitle() : "\x00Wrk";		if (($cellID !== NULL) && ($this->getValueFromCache($wsTitle, $cellID, $cellValue))) {			return $cellValue;		}		if (($wsTitle{0} !== "\x00") && ($this->_cyclicReferenceStack->onStack($wsTitle.'!'.$cellID))) {			if ($this->cyclicFormulaCount <= 0) {				return $this->_raiseFormulaError('Cyclic Reference in Formula');			} elseif (($this->_cyclicFormulaCount >= $this->cyclicFormulaCount) &&					  ($this->_cyclicFormulaCell == $wsTitle.'!'.$cellID)) {				return $cellValue;			} elseif ($this->_cyclicFormulaCell == $wsTitle.'!'.$cellID) {				++$this->_cyclicFormulaCount;				if ($this->_cyclicFormulaCount >= $this->cyclicFormulaCount) {					return $cellValue;				}			} elseif ($this->_cyclicFormulaCell == '') {				$this->_cyclicFormulaCell = $wsTitle.'!'.$cellID;				if ($this->_cyclicFormulaCount >= $this->cyclicFormulaCount) {					return $cellValue;				}			}		}		//	Parse the formula onto the token stack and calculate the value		$this->_cyclicReferenceStack->push($wsTitle.'!'.$cellID);		$cellValue = $this->_processTokenStack($this->_parseFormula($formula, $pCell), $cellID, $pCell);		$this->_cyclicReferenceStack->pop();		// Save to calculation cache		if ($cellID !== NULL) {			$this->saveValueToCache($wsTitle, $cellID, $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,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns);		} elseif ($resize == 1) {			//	Given two matrices of (potentially) unequal size, convert the larger in each dimension to match the smaller			self::_resizeMatricesShrink($operand1,$operand2,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns);		}		return array( $matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns);	}	//	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) {			$matrixColumns = max(count($rowValue),$matrixColumns);			if (!is_array($rowValue)) {				$matrix[$rowKey] = array($rowValue);			} else {				$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	 * @param	integer		$matrix1Rows	Row size of first matrix operand	 * @param	integer		$matrix1Columns	Column size of first matrix operand	 * @param	integer		$matrix2Rows	Row size of second matrix operand	 * @param	integer		$matrix2Columns	Column size of second matrix operand	 */	private static function _resizeMatricesShrink(&$matrix1,&$matrix2,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns) {		if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows)) {			if ($matrix2Rows < $matrix1Rows) {				for ($i = $matrix2Rows; $i < $matrix1Rows; ++$i) {					unset($matrix1[$i]);				}			}			if ($matrix2Columns < $matrix1Columns) {				for ($i = 0; $i < $matrix1Rows; ++$i) {					for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j) {						unset($matrix1[$i][$j]);					}				}			}		}		if (($matrix1Columns < $matrix2Columns) || ($matrix1Rows < $matrix2Rows)) {			if ($matrix1Rows < $matrix2Rows) {				for ($i = $matrix1Rows; $i < $matrix2Rows; ++$i) {					unset($matrix2[$i]);				}			}			if ($matrix1Columns < $matrix2Columns) {				for ($i = 0; $i < $matrix2Rows; ++$i) {					for ($j = $matrix1Columns; $j < $matrix2Columns; ++$j) {						unset($matrix2[$i][$j]);					}				}			}		}	}	//	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	 * @param	integer		$matrix1Rows	Row size of first matrix operand	 * @param	integer		$matrix1Columns	Column size of first matrix operand	 * @param	integer		$matrix2Rows	Row size of second matrix operand	 * @param	integer		$matrix2Columns	Column size of second matrix operand	 */	private static function _resizeMatricesExtend(&$matrix1,&$matrix2,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns) {		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 function _showValue($value) {		if ($this->_debugLog->getWriteDebugLog()) {			$testArray = PHPExcel_Calculation_Functions::flattenArray($value);			if (count($testArray) == 1) {				$value = array_pop($testArray);			}			if (is_array($value)) {				$returnMatrix = array();				$pad = $rpad = ', ';				foreach($value as $row) {					if (is_array($row)) {						$returnMatrix[] = implode($pad,array_map(array($this,'_showValue'),$row));						$rpad = '; ';					} else {						$returnMatrix[] = $this->_showValue($row);					}				}				return '{ '.implode($rpad,$returnMatrix).' }';			} elseif(is_string($value) && (trim($value,'"') == $value)) {				return '"'.$value.'"';			} elseif(is_bool($value)) {				return ($value) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];			}		}		return PHPExcel_Calculation_Functions::flattenSingleValue($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 function _showTypeDetails($value) {		if ($this->_debugLog->getWriteDebugLog()) {			$testArray = PHPExcel_Calculation_Functions::flattenArray($value);			if (count($testArray) == 1) {				$value = array_pop($testArray);			}			if ($value === NULL) {				return 'a NULL value';			} elseif (is_float($value)) {				$typeString = 'a floating point number';			} elseif(is_int($value)) {				$typeString = 'an integer number';			} elseif(is_bool($value)) {				$typeString = 'a boolean';			} elseif(is_array($value)) {				$typeString = 'a matrix';			} else {				if ($value == '') {					return 'an empty string';				} elseif ($value{0} == '#') {					return 'a '.$value.' error';				} else {					$typeString = 'a string';				}			}			return $typeString.' with a value of '.$this->_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;				$i = FALSE;				foreach($temp as &$value) {					//	Only count/replace in alternating array entries					if ($i = !$i) {						$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()	//	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	private static $_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	private static $_comparisonOperators	= array('>' => TRUE, '<' => TRUE, '=' => TRUE, '>=' => TRUE, '<=' => TRUE, '<>' => TRUE);	//	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	private static $_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	);	// Convert infix to postfix notation	private function _parseFormula($formula, PHPExcel_Cell $pCell = NULL) {		if (($formula = self::_convertMatrixReferences(trim($formula))) === FALSE) {			return FALSE;		}		//	If we're using cell caching, then $pCell may well be flushed back to the cache (which detaches the parent worksheet),		//		so we store the parent worksheet so that we can re-attach it when necessary		$pCellParent = ($pCell !== NULL) ? $pCell->getWorksheet() : NULL;		$regexpMatchString = '/^('.self::CALCULATION_REGEXP_FUNCTION.							   '|'.self::CALCULATION_REGEXP_CELLREF.							   '|'.self::CALCULATION_REGEXP_NUMBER.							   '|'.self::CALCULATION_REGEXP_STRING.							   '|'.self::CALCULATION_REGEXP_OPENBRACE.							   '|'.self::CALCULATION_REGEXP_NAMEDRANGE.							   '|'.self::CALCULATION_REGEXP_ERROR.							 ')/si';		//	Start with initialisation		$index = 0;		$stack = new PHPExcel_Calculation_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),PHP_EOL;			$opCharacter = $formula{$index};	//	Get the first character of the value at the current index position//echo 'Initial character of expression block is '.$opCharacter,PHP_EOL;			if ((isset(self::$_comparisonOperators[$opCharacter])) && (strlen($formula) > $index) && (isset(self::$_comparisonOperators[$formula{$index+1}]))) {				$opCharacter .= $formula{++$index};//echo 'Initial character of expression block is comparison operator '.$opCharacter.PHP_EOL;			}			//	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').PHP_EOL;//var_dump($match);			if ($opCharacter == '-' && !$expectingOperator) {				//	Is it a negation instead of a minus?//echo 'Element is a Negation operator',PHP_EOL;				$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',PHP_EOL;				$stack->push('Unary Operator','%');							//	Put a percentage on the stack				++$index;			} elseif ($opCharacter == '+' && !$expectingOperator) {			//	Positive (unary plus rather than binary operator plus) can be discarded?//echo 'Element is a Positive number, not Plus operator',PHP_EOL;				++$index;													//	Drop the redundant plus symbol			} elseif ((($opCharacter == '~') || ($opCharacter == '|')) && (!$isOperandOrFunction)) {	//	We have to explicitly deny a tilde or pipe, because they are legal				return $this->_raiseFormulaError("Formula Error: Illegal character '~'");				//		on the stack but not in the input expression			} elseif ((isset(self::$_operators[$opCharacter]) or $isOperandOrFunction) && $expectingOperator) {	//	Are we putting an operator on the stack?//echo 'Element with value '.$opCharacter.' is an Operator',PHP_EOL;				while($stack->count() > 0 &&					($o2 = $stack->last()) &&					isset(self::$_operators[$o2['value']]) &&					@(self::$_operatorAssociativity[$opCharacter] ? self::$_operatorPrecedence[$opCharacter] < self::$_operatorPrecedence[$o2['value']] : self::$_operatorPrecedence[$opCharacter] <= self::$_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',PHP_EOL;				$expectingOperand = FALSE;				while (($o2 = $stack->pop()) && $o2['value'] != '(') {		//	Pop off the stack back to the last (					if ($o2 === NULL) 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,PHP_EOL;					$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',PHP_EOL;//} elseif ($argumentCount == 1) {//	echo 'With 1 argument',PHP_EOL;//} else {//	echo 'With '.$argumentCount.' arguments',PHP_EOL;//}					$output[] = $d;						//	Dump the argument count on the output					$output[] = $stack->pop();			//	Pop the function and push onto the output					if (isset(self::$_controlFunctions[$functionName])) {//echo 'Built-in function '.$functionName,PHP_EOL;						$expectedArgumentCount = self::$_controlFunctions[$functionName]['argumentCount'];						$functionCall = self::$_controlFunctions[$functionName]['functionCall'];					} elseif (isset(self::$_PHPExcelFunctions[$functionName])) {//echo 'PHPExcel function '.$functionName,PHP_EOL;						$expectedArgumentCount = self::$_PHPExcelFunctions[$functionName]['argumentCount'];						$functionCall = self::$_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),PHP_EOL;							if ($argumentCount > abs($expectedArgumentCount)) {								$argumentCountError = TRUE;								$expectedArgumentCountString = 'no more than '.abs($expectedArgumentCount);							}						} else {//echo '$expectedArgumentCount is numeric '.$expectedArgumentCount,PHP_EOL;							if ($argumentCount != $expectedArgumentCount) {								$argumentCountError = TRUE;								$expectedArgumentCountString = $expectedArgumentCount;							}						}					} elseif ($expectedArgumentCount != '*') {						$isOperandOrFunction = preg_match('/(\d*)([-+,])(\d*)/',$expectedArgumentCount,$argMatch);//print_r($argMatch);//echo PHP_EOL;						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 separator for function arguments?//echo 'Element is a Function argument separator',PHP_EOL;				while (($o2 = $stack->pop()) && $o2['value'] != '(') {		//	Pop off the stack back to the last (					if ($o2 === NULL) 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' => self::$_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<br />';				$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<br />';				if (preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $val, $matches)) {					$val = preg_replace('/\s/','',$val);//					echo 'Element '.$val.' is a Function<br />';					if (isset(self::$_PHPExcelFunctions[strtoupper($matches[1])]) || isset(self::$_controlFunctions[strtoupper($matches[1])])) {	// it's a function						$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<br />';					//	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					//	If the last entry on the stack was a : operator, then we have a cell range reference					$testPrevOp = $stack->last(1);					if ($testPrevOp['value'] == ':') {						//	If we have a worksheet reference, then we're playing with a 3D reference						if ($matches[2] == '') {							//	Otherwise, we 'inherit' the worksheet reference from the start cell reference							//	The start of the cell range reference should be the last entry in $output							$startCellRef = $output[count($output)-1]['value'];							preg_match('/^'.self::CALCULATION_REGEXP_CELLREF.'$/i', $startCellRef, $startMatches);							if ($startMatches[2] > '') {								$val = $startMatches[2].'!'.$val;							}						} else {							return $this->_raiseFormulaError("3D Range references are not yet supported");						}					}					$output[] = array('type' => 'Cell Reference', 'value' => $val, 'reference' => $val);//					$expectingOperator = FALSE;				} else {	// it's a variable, constant, string, number or boolean//					echo 'Element is a Variable, Constant, String, Number or Boolean<br />';					//	If the last entry on the stack was a : operator, then we may have a row or column range reference					$testPrevOp = $stack->last(1);					if ($testPrevOp['value'] == ':') {						$startRowColRef = $output[count($output)-1]['value'];						$rangeWS1 = '';						if (strpos('!',$startRowColRef) !== FALSE) {							list($rangeWS1,$startRowColRef) = explode('!',$startRowColRef);						}						if ($rangeWS1 != '') $rangeWS1 .= '!';						$rangeWS2 = $rangeWS1;						if (strpos('!',$val) !== FALSE) {							list($rangeWS2,$val) = explode('!',$val);						}						if ($rangeWS2 != '') $rangeWS2 .= '!';						if ((is_integer($startRowColRef)) && (ctype_digit($val)) &&							($startRowColRef <= 1048576) && ($val <= 1048576)) {							//	Row range							$endRowColRef = ($pCellParent !== NULL) ? $pCellParent->getHighestColumn() : 'XFD';	//	Max 16,384 columns for Excel2007							$output[count($output)-1]['value'] = $rangeWS1.'A'.$startRowColRef;							$val = $rangeWS2.$endRowColRef.$val;						} elseif ((ctype_alpha($startRowColRef)) && (ctype_alpha($val)) &&							(strlen($startRowColRef) <= 3) && (strlen($val) <= 3)) {							//	Column range							$endRowColRef = ($pCellParent !== NULL) ? $pCellParent->getHighestRow() : 1048576;		//	Max 1,048,576 rows for Excel2007							$output[count($output)-1]['value'] = $rangeWS1.strtoupper($startRowColRef).'1';							$val = $rangeWS2.$val.$endRowColRef;						}					}					$localeConstant = FALSE;					if ($opCharacter == '"') {//						echo 'Element is a String<br />';						//	UnEscape any quotes within the string						$val = self::_wrapResult(str_replace('""','"',self::_unwrapResult($val)));					} elseif (is_numeric($val)) {//						echo 'Element is a Number<br />';						if ((strpos($val,'.') !== FALSE) || (stripos($val,'e') !== FALSE) || ($val > PHP_INT_MAX) || ($val < -PHP_INT_MAX)) {//							echo 'Casting '.$val.' to float<br />';							$val = (float) $val;						} else {//							echo 'Casting '.$val.' to integer<br />';							$val = (integer) $val;						}					} elseif (isset(self::$_ExcelConstants[trim(strtoupper($val))])) {						$excelConstant = trim(strtoupper($val));//						echo 'Element '.$excelConstant.' is an Excel Constant<br />';						$val = self::$_ExcelConstants[$excelConstant];					} elseif (($localeConstant = array_search(trim(strtoupper($val)), self::$_localeBoolean)) !== FALSE) {//						echo 'Element '.$localeConstant.' is an Excel Constant<br />';						$val = self::$_ExcelConstants[$localeConstant];					}					$details = array('type' => 'Value', 'value' => $val, 'reference' => NULL);					if ($localeConstant) { $details['localeValue'] = $localeConstant; }					$output[] = $details;				}				$index += $length;			} elseif ($opCharacter == '$') {	// absolute row or column range				++$index;			} elseif ($opCharacter == ')') {	// miscellaneous error checking				if ($expectingOperand) {					$output[] = array('type' => 'NULL Value', 'value' => self::$_ExcelConstants['NULL'], 'reference' => NULL);					$expectingOperand = FALSE;					$expectingOperator = TRUE;				} else {					return $this->_raiseFormulaError("Formula Error: Unexpected ')'");				}			} elseif (isset(self::$_operators[$opCharacter]) && !$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($formula)) {				//	Did we end with an operator?.				//	Only valid for the % unary operator				if ((isset(self::$_operators[$opCharacter])) && ($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<br />';				if (($expectingOperator) && (preg_match('/^'.self::CALCULATION_REGEXP_CELLREF.'.*/Ui', substr($formula, $index), $match)) &&					($output[count($output)-1]['type'] == 'Cell Reference')) {//					echo 'Element is an Intersect Operator<br />';					while($stack->count() > 0 &&						($o2 = $stack->last()) &&						isset(self::$_operators[$o2['value']]) &&						@(self::$_operatorAssociativity[$opCharacter] ? self::$_operatorPrecedence[$opCharacter] < self::$_operatorPrecedence[$o2['value']] : self::$_operatorPrecedence[$opCharacter] <= self::$_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					$expectingOperator = FALSE;				}			}		}		while (($op = $stack->pop()) !== NULL) {	// pop everything off the stack and push onto output			if ((is_array($op) && $op['value'] == '(') || ($op === '('))				return $this->_raiseFormulaError("Formula Error: Expecting ')'");	// if there are any opening braces on the stack, then braces were unbalanced			$output[] = $op;		}		return $output;	}	//	function _parseFormula()	private static function _dataTestReference(&$operandData)	{		$operand = $operandData['value'];		if (($operandData['reference'] === NULL) && (is_array($operand))) {			$rKeys = array_keys($operand);			$rowKey = array_shift($rKeys);			$cKeys = array_keys(array_keys($operand[$rowKey]));			$colKey = array_shift($cKeys);			if (ctype_upper($colKey)) {				$operandData['reference'] = $colKey.$rowKey;			}		}		return $operand;	}	// evaluate postfix notation	private function _processTokenStack($tokens, $cellID = NULL, PHPExcel_Cell $pCell = NULL) {		if ($tokens == FALSE) return FALSE;		//	If we're using cell caching, then $pCell may well be flushed back to the cache (which detaches the parent cell collection),		//		so we store the parent cell collection so that we can re-attach it when necessary		$pCellWorksheet = ($pCell !== NULL) ? $pCell->getWorksheet() : NULL;		$pCellParent = ($pCell !== NULL) ? $pCell->getParent() : null;		$stack = new PHPExcel_Calculation_Token_Stack;		//	Loop through each token in turn		foreach ($tokens as $tokenData) {//			print_r($tokenData);//			echo '<br />';			$token = $tokenData['value'];//			echo '<b>Token is '.$token.'</b><br />';			// 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 (isset(self::$_binaryOperators[$token])) {//				echo 'Token is a binary operator<br />';				//	We must have two operands, error if we don't				if (($operand2Data = $stack->pop()) === NULL) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');				if (($operand1Data = $stack->pop()) === NULL) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');				$operand1 = self::_dataTestReference($operand1Data);				$operand2 = self::_dataTestReference($operand2Data);				//	Log what we're doing				if ($token == ':') {					$this->_debugLog->writeDebugLog('Evaluating Range ', $this->_showValue($operand1Data['reference']), ' ', $token, ' ', $this->_showValue($operand2Data['reference']));				} else {					$this->_debugLog->writeDebugLog('Evaluating ', $this->_showValue($operand1), ' ', $token, ' ', $this->_showValue($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 {							$sheet1 = ($pCellParent !== NULL) ? $pCellWorksheet->getTitle() : '';						}						if (strpos($operand2Data['reference'],'!') !== FALSE) {							list($sheet2,$operand2Data['reference']) = explode('!',$operand2Data['reference']);						} else {							$sheet2 = $sheet1;						}						if ($sheet1 == $sheet2) {							if ($operand1Data['reference'] === NULL) {								if ((trim($operand1Data['value']) != '') && (is_numeric($operand1Data['value']))) {									$operand1Data['reference'] = $pCell->getColumn().$operand1Data['value'];								} elseif (trim($operand1Data['reference']) == '') {									$operand1Data['reference'] = $pCell->getCoordinate();								} else {									$operand1Data['reference'] = $operand1Data['value'].$pCell->getRow();								}							}							if ($operand2Data['reference'] === NULL) {								if ((trim($operand2Data['value']) != '') && (is_numeric($operand2Data['value']))) {									$operand2Data['reference'] = $pCell->getColumn().$operand2Data['value'];								} elseif (trim($operand2Data['reference']) == '') {									$operand2Data['reference'] = $pCell->getCoordinate();								} 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($oRow);							if ($pCellParent !== NULL) {								$cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($sheet1), FALSE);							} else {								return $this->_raiseFormulaError('Unable to access Cell Reference');							}							$stack->push('Cell Reference',$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) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];						}						if (is_bool($operand2)) {							$operand2 = ($operand2) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['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								$matrix = new PHPExcel_Shared_JAMA_Matrix($operand1);								//	Perform the required operation against the operand 1 matrix, passing in operand 2								$matrixResult = $matrix->concat($operand2);								$result = $matrixResult->getArray();							} catch (PHPExcel_Exception $ex) {								$this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());								$result = '#VALUE!';							}						} else {							$result = '"'.str_replace('""','"',self::_unwrapResult($operand1,'"').self::_unwrapResult($operand2,'"')).'"';						}						$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));						$stack->push('Value',$result);						break;					case '|'	:			//	Intersect						$rowIntersect = array_intersect_key($operand1,$operand2);						$cellIntersect = $oCol = $oRow = array();						foreach(array_keys($rowIntersect) as $row) {							$oRow[] = $row;							foreach($rowIntersect[$row] as $col => $data) {								$oCol[] = PHPExcel_Cell::columnIndexFromString($col) - 1;								$cellIntersect[$row] = array_intersect_key($operand1[$row],$operand2[$row]);							}						}						$cellRef = PHPExcel_Cell::stringFromColumnIndex(min($oCol)).min($oRow).':'.PHPExcel_Cell::stringFromColumnIndex(max($oCol)).max($oRow);						$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($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 === '~') || ($token === '%')) {//				echo 'Token is a unary operator<br />';				if (($arg = $stack->pop()) === NULL) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');				$arg = $arg['value'];				if ($token === '~') {//					echo 'Token is a negation operator<br />';					$this->_debugLog->writeDebugLog('Evaluating Negation of ', $this->_showValue($arg));					$multiplier = -1;				} else {//					echo 'Token is a percentile operator<br />';					$this->_debugLog->writeDebugLog('Evaluating Percentile of ', $this->_showValue($arg));					$multiplier = 0.01;				}				if (is_array($arg)) {					self::_checkMatrixOperands($arg,$multiplier,2);					try {						$matrix1 = new PHPExcel_Shared_JAMA_Matrix($arg);						$matrixResult = $matrix1->arrayTimesEquals($multiplier);						$result = $matrixResult->getArray();					} catch (PHPExcel_Exception $ex) {						$this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());						$result = '#VALUE!';					}					$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($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<br />';				if (isset($matches[8])) {//					echo 'Reference is a Range of cells<br />';					if ($pCell === NULL) {//						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],"\"'");							if ((strpos($matches[2],'[') !== FALSE) || (strpos($matches[2],']') !== FALSE)) {								//	It's a Reference to an external workbook (not currently supported)								return $this->_raiseFormulaError('Unable to access External Workbook');							}							$matches[2] = trim($matches[2],"\"'");//							echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].'<br />';							$this->_debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in worksheet ', $matches[2]);							if ($pCellParent !== NULL) {								$cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($matches[2]), FALSE);							} else {								return $this->_raiseFormulaError('Unable to access Cell Reference');							}							$this->_debugLog->writeDebugLog('Evaluation Result for cells ', $cellRef, ' in worksheet ', $matches[2], ' is ', $this->_showTypeDetails($cellValue));//							$cellRef = $matches[2].'!'.$cellRef;						} else {//							echo '$cellRef='.$cellRef.' in current worksheet<br />';							$this->_debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in current worksheet');							if ($pCellParent !== NULL) {								$cellValue = $this->extractCellRange($cellRef, $pCellWorksheet, FALSE);							} else {								return $this->_raiseFormulaError('Unable to access Cell Reference');							}							$this->_debugLog->writeDebugLog('Evaluation Result for cells ', $cellRef, ' is ', $this->_showTypeDetails($cellValue));						}					}				} else {//					echo 'Reference is a single Cell<br />';					if ($pCell === NULL) {//						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],"\"'");							if ((strpos($matches[2],'[') !== FALSE) || (strpos($matches[2],']') !== FALSE)) {								//	It's a Reference to an external workbook (not currently supported)								return $this->_raiseFormulaError('Unable to access External Workbook');							}//							echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].'<br />';							$this->_debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in worksheet ', $matches[2]);							if ($pCellParent !== NULL) {								$cellSheet = $this->_workbook->getSheetByName($matches[2]);								if ($cellSheet && $cellSheet->cellExists($cellRef)) {									$cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($matches[2]), FALSE);									$pCell->attach($pCellParent);								} else {									$cellValue = NULL;								}							} else {								return $this->_raiseFormulaError('Unable to access Cell Reference');							}							$this->_debugLog->writeDebugLog('Evaluation Result for cell ', $cellRef, ' in worksheet ', $matches[2], ' is ', $this->_showTypeDetails($cellValue));//							$cellRef = $matches[2].'!'.$cellRef;						} else {//							echo '$cellRef='.$cellRef.' in current worksheet<br />';							$this->_debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in current worksheet');							if ($pCellParent->isDataSet($cellRef)) {								$cellValue = $this->extractCellRange($cellRef, $pCellWorksheet, FALSE);								$pCell->attach($pCellParent);							} else {								$cellValue = NULL;							}							$this->_debugLog->writeDebugLog('Evaluation Result for cell ', $cellRef, ' is ', $this->_showTypeDetails($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<br />';				$functionName = $matches[1];				$argCount = $stack->pop();				$argCount = $argCount['value'];				if ($functionName != 'MKMATRIX') {					$this->_debugLog->writeDebugLog('Evaluating Function ', self::_localeFunc($functionName), '() with ', (($argCount == 0) ? 'no' : $argCount), ' argument', (($argCount == 1) ? '' : 's'));				}				if ((isset(self::$_PHPExcelFunctions[$functionName])) || (isset(self::$_controlFunctions[$functionName]))) {	// function					if (isset(self::$_PHPExcelFunctions[$functionName])) {						$functionCall = self::$_PHPExcelFunctions[$functionName]['functionCall'];						$passByReference = isset(self::$_PHPExcelFunctions[$functionName]['passByReference']);						$passCellReference = isset(self::$_PHPExcelFunctions[$functionName]['passCellReference']);					} elseif (isset(self::$_controlFunctions[$functionName])) {						$functionCall = self::$_controlFunctions[$functionName]['functionCall'];						$passByReference = isset(self::$_controlFunctions[$functionName]['passByReference']);						$passCellReference = isset(self::$_controlFunctions[$functionName]['passCellReference']);					}					// get the arguments for this function//					echo 'Function '.$functionName.' expects '.$argCount.' arguments<br />';					$args = $argArrayVals = array();					for ($i = 0; $i < $argCount; ++$i) {						$arg = $stack->pop();						$a = $argCount - $i - 1;						if (($passByReference) &&							(isset(self::$_PHPExcelFunctions[$functionName]['passByReference'][$a])) &&							(self::$_PHPExcelFunctions[$functionName]['passByReference'][$a])) {							if ($arg['reference'] === NULL) {								$args[] = $cellID;								if ($functionName != 'MKMATRIX') { $argArrayVals[] = $this->_showValue($cellID); }							} else {								$args[] = $arg['reference'];								if ($functionName != 'MKMATRIX') { $argArrayVals[] = $this->_showValue($arg['reference']); }							}						} else {							$args[] = self::_unwrapResult($arg['value']);							if ($functionName != 'MKMATRIX') { $argArrayVals[] = $this->_showValue($arg['value']); }						}					}					//	Reverse the order of the arguments					krsort($args);					if (($passByReference) && ($argCount == 0)) {						$args[] = $cellID;						$argArrayVals[] = $this->_showValue($cellID);					}//					echo 'Arguments are: ';//					print_r($args);//					echo '<br />';					if ($functionName != 'MKMATRIX') {						if ($this->_debugLog->getWriteDebugLog()) {							krsort($argArrayVals);							$this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', implode(self::$_localeArgumentSeparator.' ',PHPExcel_Calculation_Functions::flattenArray($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->_debugLog->writeDebugLog('Argument is a matrix: ', $this->_showValue($operand1));//						$result = array();//						$row = 0;//						foreach($operand1 as $args) {//							if (is_array($args)) {//								foreach($args as $arg) {//									$this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', $this->_showValue($arg), ' )');//									$r = call_user_func_array($functionCall,$arg);//									$this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($r));//									$result[$row][] = $r;//								}//								++$row;//							} else {//								$this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', $this->_showValue($args), ' )');//								$r = call_user_func_array($functionCall,$args);//								$this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($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') {						$this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($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 (isset(self::$_ExcelConstants[strtoupper($token)])) {					$excelConstant = strtoupper($token);//					echo 'Token is a PHPExcel constant: '.$excelConstant.'<br />';					$stack->push('Constant Value',self::$_ExcelConstants[$excelConstant]);					$this->_debugLog->writeDebugLog('Evaluating Constant ', $excelConstant, ' as ', $this->_showTypeDetails(self::$_ExcelConstants[$excelConstant]));				} elseif ((is_numeric($token)) || ($token === NULL) || (is_bool($token)) || ($token == '') || ($token{0} == '"') || ($token{0} == '#')) {//					echo 'Token is a number, boolean, string, null or an Excel error<br />';					$stack->push('Value',$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<br />';					$namedRange = $matches[6];//					echo 'Named Range is '.$namedRange.'<br />';					$this->_debugLog->writeDebugLog('Evaluating Named Range ', $namedRange);					$cellValue = $this->extractNamedRange($namedRange, ((NULL !== $pCell) ? $pCellWorksheet : NULL), FALSE);					$pCell->attach($pCellParent);					$this->_debugLog->writeDebugLog('Evaluation Result for named range ', $namedRange, ' is ', $this->_showTypeDetails($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) {		if (is_array($operand)) {			if ((count($operand, COUNT_RECURSIVE) - count($operand)) == 1) {				do {					$operand = array_pop($operand);				} while (is_array($operand));			}		}		//	Numbers, matrices and booleans can pass straight through, as they're already valid		if (is_string($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->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($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->_debugLog->writeDebugLog('Evaluation Result is a ', $this->_showTypeDetails('#VALUE!'));					return FALSE;				}			}		}		//	return a true if the value of the operand is one that we can use in normal binary operations		return TRUE;	}	//	function _validateBinaryOperand()	private function _executeBinaryComparisonOperation($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->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operandData), ' ', $operation, ' ', $this->_showValue($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->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operand1), ' ', $operation, ' ', $this->_showValue($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->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operandData), ' ', $operation, ' ', $this->_showValue($operand2[$x]));					$this->_executeBinaryComparisonOperation($cellID,$operandData,$operand2[$x],$operation,$stack,TRUE);					$r = $stack->pop();					$result[$x] = $r['value'];				}			}			//	Log the result details			$this->_debugLog->writeDebugLog('Comparison Evaluation Result is ', $this->_showTypeDetails($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); }		// Use case insensitive comparaison if not OpenOffice mode		if (PHPExcel_Calculation_Functions::getCompatibilityMode() != PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE)		{			if (is_string($operand1)) {				$operand1 = strtoupper($operand1);			}			if (is_string($operand2)) {				$operand2 = strtoupper($operand2);			}		}		$useLowercaseFirstComparison = is_string($operand1) && is_string($operand2) && PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE;		//	execute the necessary operation		switch ($operation) {			//	Greater than			case '>':				if ($useLowercaseFirstComparison) {					$result = $this->strcmpLowercaseFirst($operand1, $operand2) > 0;				} else {					$result = ($operand1 > $operand2);				}				break;			//	Less than			case '<':				if ($useLowercaseFirstComparison) {					$result = $this->strcmpLowercaseFirst($operand1, $operand2) < 0;				} else {					$result = ($operand1 < $operand2);				}				break;			//	Equality			case '=':				$result = ($operand1 == $operand2);				break;			//	Greater than or equal			case '>=':				if ($useLowercaseFirstComparison) {					$result = $this->strcmpLowercaseFirst($operand1, $operand2) >= 0;				} else {					$result = ($operand1 >= $operand2);				}				break;			//	Less than or equal			case '<=':				if ($useLowercaseFirstComparison) {					$result = $this->strcmpLowercaseFirst($operand1, $operand2) <= 0;				} else {					$result = ($operand1 <= $operand2);				}				break;			//	Inequality			case '<>':				$result = ($operand1 != $operand2);				break;		}		//	Log the result details		$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));		//	And push the result onto the stack		$stack->push('Value',$result);		return TRUE;	}	//	function _executeBinaryComparisonOperation()	/**	 * Compare two strings in the same way as strcmp() except that lowercase come before uppercase letters	 * @param string $str1	 * @param string $str2	 * @return integer	 */	private function strcmpLowercaseFirst($str1, $str2)	{		$from = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz';		$to = 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ';		$inversedStr1 = strtr($str1, $from, $to);		$inversedStr2 = strtr($str2, $from, $to);		return strcmp($inversedStr1, $inversedStr2);	}	private function _executeNumericBinaryOperation($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($operand2))) {			//	Ensure that both operands are arrays/matrices of the same size			self::_checkMatrixOperands($operand1, $operand2, 2);			try {				//	Convert operand 1 from a PHP array to a matrix				$matrix = new PHPExcel_Shared_JAMA_Matrix($operand1);				//	Perform the required operation against the operand 1 matrix, passing in operand 2				$matrixResult = $matrix->$matrixFunction($operand2);				$result = $matrixResult->getArray();			} catch (PHPExcel_Exception $ex) {				$this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());				$result = '#VALUE!';			}		} else {			if ((PHPExcel_Calculation_Functions::getCompatibilityMode() != PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) &&				((is_string($operand1) && !is_numeric($operand1) && strlen($operand1)>0) ||                  (is_string($operand2) && !is_numeric($operand2) && strlen($operand2)>0))) {				$result = PHPExcel_Calculation_Functions::VALUE();			} else {				//	If we're dealing with non-matrix operations, execute the necessary operation				switch ($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->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails('#DIV/0!'));							return FALSE;						} else {							$result = $operand1 / $operand2;						}						break;					//	Power					case '^':						$result = pow($operand1, $operand2);						break;				}			}		}		//	Log the result details		$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));		//	And push the result onto the stack		$stack->push('Value',$result);		return TRUE;	}	//	function _executeNumericBinaryOperation()	// trigger an error, but nicely, if need be	protected function _raiseFormulaError($errorMessage) {		$this->formulaError = $errorMessage;		$this->_cyclicReferenceStack->clear();		if (!$this->suppressFormulaErrors) throw new PHPExcel_Calculation_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	 * @param	boolean				$resetLog	Flag indicating whether calculation log should be reset or not	 * @return  mixed				Array of values in range if range contains more than one element. Otherwise, a single value is returned.	 * @throws	PHPExcel_Calculation_Exception	 */	public function extractCellRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = NULL, $resetLog = TRUE) {		// Return value		$returnValue = array ();//		echo 'extractCellRange('.$pRange.')',PHP_EOL;		if ($pSheet !== NULL) {			$pSheetName = $pSheet->getTitle();//			echo 'Passed sheet name is '.$pSheetName.PHP_EOL;//			echo 'Range reference is '.$pRange.PHP_EOL;			if (strpos ($pRange, '!') !== false) {//				echo '$pRange reference includes sheet reference',PHP_EOL;				list($pSheetName,$pRange) = PHPExcel_Worksheet::extractSheetTitle($pRange, true);//				echo 'New sheet name is '.$pSheetName,PHP_EOL;//				echo 'Adjusted Range reference is '.$pRange,PHP_EOL;				$pSheet = $this->_workbook->getSheetByName($pSheetName);			}			// Extract range			$aReferences = PHPExcel_Cell::extractAllCellReferencesInRange($pRange);			$pRange = $pSheetName.'!'.$pRange;			if (!isset($aReferences[1])) {				//	Single cell in range				sscanf($aReferences[0],'%[A-Z]%d', $currentCol, $currentRow);				$cellValue = NULL;				if ($pSheet->cellExists($aReferences[0])) {					$returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);				} else {					$returnValue[$currentRow][$currentCol] = NULL;				}			} else {				// Extract cell data for all cells in the range				foreach ($aReferences as $reference) {					// Extract range					sscanf($reference,'%[A-Z]%d', $currentCol, $currentRow);					$cellValue = NULL;					if ($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.	 * @param	boolean				$resetLog	Flag indicating whether calculation log should be reset or not	 * @throws	PHPExcel_Calculation_Exception	 */	public function extractNamedRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = NULL, $resetLog = TRUE) {		// Return value		$returnValue = array ();//		echo 'extractNamedRange('.$pRange.')<br />';		if ($pSheet !== NULL) {			$pSheetName = $pSheet->getTitle();//			echo 'Current sheet name is '.$pSheetName.'<br />';//			echo 'Range reference is '.$pRange.'<br />';			if (strpos ($pRange, '!') !== false) {//				echo '$pRange reference includes sheet reference',PHP_EOL;				list($pSheetName,$pRange) = PHPExcel_Worksheet::extractSheetTitle($pRange, true);//				echo 'New sheet name is '.$pSheetName,PHP_EOL;//				echo 'Adjusted Range reference is '.$pRange,PHP_EOL;				$pSheet = $this->_workbook->getSheetByName($pSheetName);			}			// Named range?			$namedRange = PHPExcel_NamedRange::resolveRange($pRange, $pSheet);			if ($namedRange !== NULL) {				$pSheet = $namedRange->getWorksheet();//				echo 'Named Range '.$pRange.' (';				$pRange = $namedRange->getRange();				$splitRange = PHPExcel_Cell::splitRange($pRange);				//	Convert row and column references				if (ctype_alpha($splitRange[0][0])) {					$pRange = $splitRange[0][0] . '1:' . $splitRange[0][1] . $namedRange->getWorksheet()->getHighestRow();				} elseif(ctype_digit($splitRange[0][0])) {					$pRange = 'A' . $splitRange[0][0] . ':' . $namedRange->getWorksheet()->getHighestColumn() . $splitRange[0][1];				}//				echo $pRange.') is in sheet '.$namedRange->getWorksheet()->getTitle().'<br />';//				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);//			var_dump($aReferences);			if (!isset($aReferences[1])) {				//	Single cell (or single column or row) in range				list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($aReferences[0]);				$cellValue = NULL;				if ($pSheet->cellExists($aReferences[0])) {					$returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);				} else {					$returnValue[$currentRow][$currentCol] = NULL;				}			} else {				// Extract cell data for all cells in the range				foreach ($aReferences as $reference) {					// Extract range					list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($reference);//					echo 'NAMED RANGE: $currentCol='.$currentCol.' $currentRow='.$currentRow.'<br />';					$cellValue = NULL;					if ($pSheet->cellExists($reference)) {						$returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);					} else {						$returnValue[$currentRow][$currentCol] = NULL;					}				}			}//				print_r($returnValue);//			echo '<br />';		}		// 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(self::$_PHPExcelFunctions[$pFunction])) {			return (self::$_PHPExcelFunctions[$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		$returnValue = array();		// Loop functions		foreach(self::$_PHPExcelFunctions as $functionName => $function) {			if ($function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY') {				$returnValue[$functionName] = new PHPExcel_Calculation_Function($function['category'],																				$functionName,																				$function['functionCall']																			   );			}		}		// Return		return $returnValue;	}	//	function listFunctions()	/**	 * Get a list of all Excel function names	 *	 * @return	array	 */	public function listAllFunctionNames() {		return array_keys(self::$_PHPExcelFunctions);	}	//	function listAllFunctionNames()	/**	 * Get a list of implemented Excel function names	 *	 * @return	array	 */	public function listFunctionNames() {		// Return value		$returnValue = array();		// Loop functions		foreach(self::$_PHPExcelFunctions as $functionName => $function) {			if ($function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY') {				$returnValue[] = $functionName;			}		}		// Return		return $returnValue;	}	//	function listFunctionNames()}	//	class PHPExcel_Calculation
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