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Файл: protected/extensions/PHPExcel/Classes/PHPExcel/Calculation.php
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<?php

/** 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)
 *
 * Copyright (c) 2006 - 2015 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 - 2015 PHPExcel (http://www.codeplex.com/PHPExcel)
 * @license    http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt    LGPL
 * @version    ##VERSION##, ##DATE##
 */
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;

    private 
$cellStack = array();

    
/**
     * 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 $cyclicFormulaCounter 1;

    private 
$cyclicFormulaCell '';

    
/**
     * Number of iterations for cyclic formulae
     *
     * @var integer
     *
     */
    
public $cyclicFormulaCount 1;

    
/**
     * Epsilon Precision used for comparisons in calculations
     *
     * @var float
     *
     */
    
private $delta    0.1e-12;


    
/**
     * 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(
        
'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_MathTrig::SUMIFS',
            
'argumentCount' => '3+'
        
),
        
'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_TextData::VALUE',
            
'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'
        
)
    );


    public function 
__construct(PHPExcel $workbook null)
    {
        
$this->delta pow(10ini_get('precision'));

        
$this->workbook $workbook;
        
$this->cyclicReferenceStack = new PHPExcel_CalcEngine_CyclicReferenceStack();
        
$this->_debugLog = new PHPExcel_CalcEngine_Logger($this->cyclicReferenceStack);
    }


    private static function 
loadLocales()
    {
        
$localeFileDirectory PHPEXCEL_ROOT.'PHPExcel/locale/';
        foreach (
glob($localeFileDirectory.'/*'GLOB_ONLYDIR) as $filename) {
            
$filename substr($filenamestrlen($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) {
            
$instance $workbook->getCalculationEngine();
            if (isset(
$instance)) {
                return 
$instance;  
            }
        }

        if (!isset(
self::$instance) || (self::$instance === null)) {
            
self::$instance = new PHPExcel_Calculation();
        }
        return 
self::$instance;
    }

    
/**
     * Unset an instance of this class
     *
     * @access    public
     */
    
public function __destruct()
    {
        
$this->workbook null;
    }

    
/**
     * 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();
    }


    
/**
     * 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
     */
    
final public function __clone()
    {
        throw new 
PHPExcel_Calculation_Exception('Cloning the calculation engine is not allowed!');
    }


    
/**
     * 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;
    }


    
/**
     * 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;
    }


    
/**
     * Is calculation caching enabled?
     *
     * @access    public
     * @return boolean
     */
    
public function getCalculationCacheEnabled()
    {
        return 
$this->calculationCacheEnabled;
    }

    
/**
     * Enable/disable calculation cache
     *
     * @access    public
     * @param boolean $pValue
     */
    
public function setCalculationCacheEnabled($pValue true)
    {
        
$this->calculationCacheEnabled $pValue;
        
$this->clearCalculationCache();
    }


    
/**
     * Enable calculation cache
     */
    
public function enableCalculationCache()
    {
        
$this->setCalculationCacheEnabled(true);
    }


    
/**
     * Disable calculation cache
     */
    
public function disableCalculationCache()
    {
        
$this->setCalculationCacheEnabled(false);
    }


    
/**
     * Clear calculation cache
     */
    
public function clearCalculationCache()
    {
        
$this->calculationCache = array();
    }

    
/**
     * Clear calculation cache for a specified worksheet
     *
     * @param string $worksheetName
     */
    
public function clearCalculationCacheForWorksheet($worksheetName)
    {
        if (isset(
$this->calculationCache[$worksheetName])) {
            unset(
$this->calculationCache[$worksheetName]);
        }
    }

    
/**
     * 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]);
        }
    }


    
/**
     * Get the currently defined locale code
     *
     * @return string
     */
    
public function getLocale()
    {
        return 
self::$localeLanguage;
    }


    
/**
     * 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($languageself::$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
                
$localeFunctions file($functionNamesFileFILE_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)) {
                    
$localeSettings file($configFileFILE_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;
    }



    public static function 
translateSeparator($fromSeparator$toSeparator$formula, &$inBraces)
    {
        
$strlen mb_strlen($formula);
        for (
$i 0$i $strlen; ++$i) {
            
$chr mb_substr($formula$i1);
            switch (
$chr) {
                case 
'{':
                    
$inBraces true;
                    break;
                case 
'}':
                    
$inBraces false;
                    break;
                case 
$fromSeparator:
                    if (!
$inBraces) {
                        
$formula mb_substr($formula0$i).$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::$functionReplaceFromExcelself::$functionReplaceToLocale$formula','self::$localeArgumentSeparator);
    }


    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::$functionReplaceFromLocaleself::$functionReplaceToExcel$formulaself::$localeArgumentSeparator',');
    }


    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
        
} elseif ((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {
            return 
PHPExcel_Calculation_Functions::NaN();
        }

        return 
$value;
    }


    
/**
     * 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($value, -1) == '"')) {
                return 
substr($value1, -1);
            }
        
//    Convert numeric errors to NaN error
        
} elseif ((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {
            return 
PHPExcel_Calculation_Functions::NaN();
        }
        return 
$value;
    }




    
/**
     * 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());
        }
    }


    
/**
     * 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->cyclicFormulaCounter 1;

            
self::$returnArrayAsType self::RETURN_ARRAY_AS_ARRAY;
        }

        
//    Execute the calculation for the cell formula
        
$this->cellStack[] = array(
            
'sheet' => $pCell->getWorksheet()->getTitle(),
            
'cell' => $pCell->getCoordinate(),
        );
        try {
            
$result self::unwrapResult($this->_calculateFormulaValue($pCell->getValue(), $pCell->getCoordinate(), $pCell));
            
$cellAddress array_pop($this->cellStack);
            
$this->workbook->getSheetByName($cellAddress['sheet'])->getCell($cellAddress['cell']);
        } catch (
PHPExcel_Exception $e) {
            
$cellAddress array_pop($this->cellStack);
            
$this->workbook->getSheetByName($cellAddress['sheet'])->getCell($cellAddress['cell']);
            throw new 
PHPExcel_Calculation_Exception($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;
    }


    
/**
     * 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();
        }
        
$formula ltrim(substr($formula1));
        if (!isset(
$formula{0})) {
            return array();
        }

        
//    Parse the formula and return the token stack
        
return $this->_parseFormula($formula);
    }


    
/**
     * 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 nullPHPExcel_Cell $pCell null)
    {
        
//    Initialise the logging settings
        
$this->formulaError null;
        
$this->_debugLog->clearLog();
        
$this->cyclicReferenceStack->clear();

        if (
$this->workbook !== null && $cellID === null && $pCell === null) {
            
$cellID 'A1';
            
$pCell $this->workbook->getActiveSheet()->getCell($cellID);
        } else {
            
//    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());
        }

        if (
$this->workbook === null) {
            
//    Reset calculation cacheing to its previous state
            
$this->calculationCacheEnabled $resetCache;
        }

        return 
$result;
    }


    public function 
getValueFromCache($cellReference, &$cellValue)
    {
        
// Is calculation cacheing enabled?
        // Is the value present in calculation cache?
        
$this->_debugLog->writeDebugLog('Testing cache value for cell '$cellReference);
        if ((
$this->calculationCacheEnabled) && (isset($this->calculationCache[$cellReference]))) {
            
$this->_debugLog->writeDebugLog('Retrieving value for cell '$cellReference' from cache');
            
// Return the cached result
            
$cellValue $this->calculationCache[$cellReference];
            return 
true;
        }
        return 
false;
    }

    public function 
saveValueToCache($cellReference$cellValue)
    {
        if (
$this->calculationCacheEnabled) {
            
$this->calculationCache[$cellReference] = $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 nullPHPExcel_Cell $pCell null)
    {
        
$cellValue null;

        
//    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);
        }
        
$formula ltrim(substr($formula1));
        if (!isset(
$formula{0})) {
            return 
self::wrapResult($formula);
        }

        
$pCellParent = ($pCell !== null) ? $pCell->getWorksheet() : null;
        
$wsTitle = ($pCellParent !== null) ? $pCellParent->getTitle() : "x00Wrk";
        
$wsCellReference $wsTitle '!' $cellID;

        if ((
$cellID !== null) && ($this->getValueFromCache($wsCellReference$cellValue))) {
            return 
$cellValue;
        }

        if ((
$wsTitle{0} !== "x00") && ($this->cyclicReferenceStack->onStack($wsCellReference))) {
            if (
$this->cyclicFormulaCount <= 0) {
                
$this->cyclicFormulaCell '';
                return 
$this->raiseFormulaError('Cyclic Reference in Formula');
            } elseif (
$this->cyclicFormulaCell === $wsCellReference) {
                ++
$this->cyclicFormulaCounter;
                if (
$this->cyclicFormulaCounter >= $this->cyclicFormulaCount) {
                    
$this->cyclicFormulaCell '';
                    return 
$cellValue;
                }
            } elseif (
$this->cyclicFormulaCell == '') {
                if (
$this->cyclicFormulaCounter >= $this->cyclicFormulaCount) {
                    return 
$cellValue;
                }
                
$this->cyclicFormulaCell $wsCellReference;
            }
        }

        
//    Parse the formula onto the token stack and calculate the value
        
$this->cyclicReferenceStack->push($wsCellReference);
        
$cellValue $this->processTokenStack($this->_parseFormula($formula$pCell), $cellID$pCell);
        
$this->cyclicReferenceStack->pop();

        
// Save to calculation cache
        
if ($cellID !== null) {
            
$this->saveValueToCache($wsCellReference$cellValue);
        }

        
//    Return the calculated value
        
return $cellValue;
    }


    
/**
     * 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);
            
$operand1 array_fill(0$matrixRowsarray_fill(0$matrixColumns$operand1));
            
$resize 0;
        } elseif (!
is_array($operand2)) {
            list(
$matrixRows$matrixColumns) = self::getMatrixDimensions($operand1);
            
$operand2 array_fill(0$matrixRowsarray_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);
    }


    
/**
     * 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
     */
    
private 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);
    }


    
/**
     * 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]);
                    }
                }
            }
        }
    }


    
/**
     * 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;
                }
            }
        }
    }


    
/**
     * 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)) {
                        
$returnMatrix[] = implode($padarray_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);
    }


    
/**
     * 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);
        }
    }


    private 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;
    }


    private static function 
mkMatrix()
    {
        return 
func_get_args();
    }


    
//    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($formulaPHPExcel_Cell $pCell null)
    {
        if ((
$formula $this->convertMatrixReferences(trim($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
            
$isOperandOrFunction preg_match($regexpMatchStringsubstr($formula$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() > &&
                    (
$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)) {
                    
$val preg_replace('/s/u'''$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));
                        
$ax preg_match('/^s*(s*))/ui'substr($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() > &&
                        (
$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;
    }


    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 nullPHPExcel_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($operand1$operand22);
                            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($arg$multiplier2);
                    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 cellso 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$pCellWorksheetfalse);
                                
$pCell->attach($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;
    }


    private function 
validateBinaryOperand($cellID, &$operand, &$stack)
    {
        if (
is_array($operand)) {
            if ((
count($operandCOUNT_RECURSIVE) - count($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;
    }


    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($operand1$operand22);
                }
                foreach (
$operand1 as $x => $operandData) {
                    
$this->_debugLog->writeDebugLog('Evaluating Comparison '$this->showValue($operandData), ' '$operation' '$this->showValue($operand2[$x]));
                    
$this->executeBinaryComparisonOperation($cellID$operandData$operand2[$x], $operation$stacktrue);
                    
$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 '=':
                if (
is_numeric($operand1) && is_numeric($operand2)) {
                    
$result = (abs($operand1 $operand2) < $this->delta);
                } else {
                    
$result strcmp($operand1$operand2) == 0;
                }
                break;
            
//    Greater than or equal
            
case '>=':
                if (
is_numeric($operand1) && is_numeric($operand2)) {
                    
$result = ((abs($operand1 $operand2) < $this->delta) || ($operand1 $operand2));
                } elseif (
$useLowercaseFirstComparison) {
                    
$result $this->strcmpLowercaseFirst($operand1$operand2) >= 0;
                } else {
                    
$result strcmp($operand1$operand2) >= 0;
                }
                break;
            
//    Less than or equal
            
case '<=':
                if (
is_numeric($operand1) && is_numeric($operand2)) {
                    
$result = ((abs($operand1 $operand2) < $this->delta) || ($operand1 $operand2));
                } elseif (
$useLowercaseFirstComparison) {
                    
$result $this->strcmpLowercaseFirst($operand1$operand2) <= 0;
                } else {
                    
$result strcmp($operand1$operand2) <= 0;
                }
                break;
            
//    Inequality
            
case '<>':
                if (
is_numeric($operand1) && is_numeric($operand2)) {
                    
$result = (abs($operand1 $operand2) > 1E-14);
                } else {
                    
$result strcmp($operand1$operand2) != 0;
                }
                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;
    }

    
/**
     * Compare two strings in the same way as strcmp() except that lowercase come before uppercase letters
     * @param    string    $str1    First string value for the comparison
     * @param    string    $str2    Second string value for the comparison
     * @return   integer
     */
    
private function strcmpLowercaseFirst($str1$str2)
    {
        
$inversedStr1 PHPExcel_Shared_String::StrCaseReverse($str1);
        
$inversedStr2 PHPExcel_Shared_String::StrCaseReverse($str2);

        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($operand1$operand22);

            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;
    }


    
// 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($errorMessageE_USER_ERROR);
    }


    
/**
     * 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($pRangetrue);
//                echo 'New sheet name is '.$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 
$returnValue;
    }


    
/**
     * 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($pRangetrue);
//                echo 'New sheet name is '.$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 
$returnValue;
    }


    
/**
     * 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;
        }
    }


    
/**
     * Get a list of all implemented functions as an array of function objects
     *
     * @return    array of PHPExcel_Calculation_Function
     */
    
public function listFunctions()
    {
        
$returnValue = array();

        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 
$returnValue;
    }


    
/**
     * Get a list of all Excel function names
     *
     * @return    array
     */
    
public function listAllFunctionNames()
    {
        return 
array_keys(self::$PHPExcelFunctions);
    }

    
/**
     * Get a list of implemented Excel function names
     *
     * @return    array
     */
    
public function listFunctionNames()
    {
        
$returnValue = array();
        foreach (
self::$PHPExcelFunctions as $functionName => $function) {
            if (
$function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY') {
                
$returnValue[] = $functionName;
            }
        }

        return 
$returnValue;
    }
}
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