Calculation.php

Go to the documentation of this file.

<?php
if (!defined('PHPEXCEL_ROOT')) {
        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\.]*)');
        }
}


class PHPExcel_Calculation {

        //      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_\/]*[!\?]?';


        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;


        private static $_instance;


    private $_workbook;

    private static $_workbookSets;

        private $_calculationCache = array ();


        private $_calculationCacheEnabled = TRUE;


        private static $_operators                      = array('+' => TRUE,    '-' => TRUE,    '*' => TRUE,    '/' => TRUE,
                                                                                                '^' => TRUE,    '&' => TRUE,    '%' => FALSE,   '~' => FALSE,
                                                                                                '>' => TRUE,    '<' => TRUE,    '=' => TRUE,    '>=' => TRUE,
                                                                                                '<=' => TRUE,   '<>' => TRUE,   '|' => TRUE,    ':' => TRUE
                                                                                           );


        private static $_binaryOperators        = array('+' => TRUE,    '-' => TRUE,    '*' => TRUE,    '/' => TRUE,
                                                                                                '^' => TRUE,    '&' => TRUE,    '>' => TRUE,    '<' => TRUE,
                                                                                                '=' => TRUE,    '>=' => TRUE,   '<=' => TRUE,   '<>' => TRUE,
                                                                                                '|' => TRUE,    ':' => TRUE
                                                                                           );

        private $debugLog;

        public $suppressFormulaErrors = FALSE;

        public $formulaError = NULL;

        private $_cyclicReferenceStack;

        private $_cellStack = array();

        private $_cyclicFormulaCount = 1;

        private $_cyclicFormulaCell = '';

        public $cyclicFormulaCount = 1;

        private $_savedPrecision        = 14;


        private static $_localeLanguage = 'en_us';                                      //      US English      (default locale)

        private static $_validLocaleLanguages = array(  'en'            //      English         (default language)
                                                                                                 );
        private static $_localeArgumentSeparator = ',';
        private static $_localeFunctions = array();

        public static $_localeBoolean = array(  'TRUE'  => 'TRUE',
                                                                                        'FALSE' => 'FALSE',
                                                                                        'NULL'  => 'NULL'
                                                                                  );


        private static $_ExcelConstants = array('TRUE'  => TRUE,
                                                                                        'FALSE' => FALSE,
                                                                                        'NULL'  => NULL
                                                                                   );

        //      PHPExcel functions
        private static $_PHPExcelFunctions = array(     // PHPExcel functions
                                'ABS'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'abs',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ACCRINT'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::ACCRINT',
                                                                                                 'argumentCount'        =>      '4-7'
                                                                                                ),
                                'ACCRINTM'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::ACCRINTM',
                                                                                                 'argumentCount'        =>      '3-5'
                                                                                                ),
                                'ACOS'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'acos',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ACOSH'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'acosh',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ADDRESS'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::CELL_ADDRESS',
                                                                                                 'argumentCount'        =>      '2-5'
                                                                                                ),
                                'AMORDEGRC'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::AMORDEGRC',
                                                                                                 'argumentCount'        =>      '6,7'
                                                                                                ),
                                'AMORLINC'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::AMORLINC',
                                                                                                 'argumentCount'        =>      '6,7'
                                                                                                ),
                                'AND'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Logical::LOGICAL_AND',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'AREAS'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ASC'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ASIN'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'asin',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ASINH'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'asinh',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ATAN'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'atan',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ATAN2'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::ATAN2',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'ATANH'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'atanh',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'AVEDEV'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::AVEDEV',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'AVERAGE'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::AVERAGE',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'AVERAGEA'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::AVERAGEA',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'AVERAGEIF'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::AVERAGEIF',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'AVERAGEIFS'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '3+'
                                                                                                ),
                                'BAHTTEXT'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'BESSELI'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::BESSELI',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'BESSELJ'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::BESSELJ',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'BESSELK'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::BESSELK',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'BESSELY'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::BESSELY',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'BETADIST'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::BETADIST',
                                                                                                 'argumentCount'        =>      '3-5'
                                                                                                ),
                                'BETAINV'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::BETAINV',
                                                                                                 'argumentCount'        =>      '3-5'
                                                                                                ),
                                'BIN2DEC'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::BINTODEC',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'BIN2HEX'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::BINTOHEX',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'BIN2OCT'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::BINTOOCT',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'BINOMDIST'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::BINOMDIST',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'CEILING'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::CEILING',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'CELL'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'CHAR'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::CHARACTER',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'CHIDIST'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::CHIDIST',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'CHIINV'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::CHIINV',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'CHITEST'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'CHOOSE'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::CHOOSE',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'CLEAN'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::TRIMNONPRINTABLE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'CODE'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::ASCIICODE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'COLUMN'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::COLUMN',
                                                                                                 'argumentCount'        =>      '-1',
                                                                                                 'passByReference'      =>      array(TRUE)
                                                                                                ),
                                'COLUMNS'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::COLUMNS',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'COMBIN'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::COMBIN',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'COMPLEX'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::COMPLEX',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'CONCATENATE'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::CONCATENATE',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'CONFIDENCE'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::CONFIDENCE',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'CONVERT'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::CONVERTUOM',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'CORREL'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::CORREL',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'COS'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'cos',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'COSH'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'cosh',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'COUNT'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::COUNT',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'COUNTA'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::COUNTA',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'COUNTBLANK'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::COUNTBLANK',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'COUNTIF'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::COUNTIF',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'COUNTIFS'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'COUPDAYBS'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::COUPDAYBS',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'COUPDAYS'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::COUPDAYS',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'COUPDAYSNC'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::COUPDAYSNC',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'COUPNCD'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::COUPNCD',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'COUPNUM'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::COUPNUM',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'COUPPCD'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::COUPPCD',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'COVAR'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::COVAR',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'CRITBINOM'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::CRITBINOM',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'CUBEKPIMEMBER'                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_CUBE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'CUBEMEMBER'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_CUBE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'CUBEMEMBERPROPERTY'    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_CUBE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'CUBERANKEDMEMBER'              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_CUBE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'CUBESET'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_CUBE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'CUBESETCOUNT'                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_CUBE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'CUBEVALUE'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_CUBE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'CUMIPMT'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::CUMIPMT',
                                                                                                 'argumentCount'        =>      '6'
                                                                                                ),
                                'CUMPRINC'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::CUMPRINC',
                                                                                                 'argumentCount'        =>      '6'
                                                                                                ),
                                'DATE'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::DATE',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DATEDIF'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::DATEDIF',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'DATEVALUE'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::DATEVALUE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'DAVERAGE'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DAVERAGE',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DAY'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::DAYOFMONTH',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'DAYS360'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::DAYS360',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'DB'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::DB',
                                                                                                 'argumentCount'        =>      '4,5'
                                                                                                ),
                                'DCOUNT'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DCOUNT',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DCOUNTA'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DCOUNTA',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DDB'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::DDB',
                                                                                                 'argumentCount'        =>      '4,5'
                                                                                                ),
                                'DEC2BIN'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::DECTOBIN',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'DEC2HEX'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::DECTOHEX',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'DEC2OCT'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::DECTOOCT',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'DEGREES'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'rad2deg',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'DELTA'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::DELTA',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'DEVSQ'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::DEVSQ',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'DGET'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DGET',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DISC'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::DISC',
                                                                                                 'argumentCount'        =>      '4,5'
                                                                                                ),
                                'DMAX'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DMAX',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DMIN'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DMIN',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DOLLAR'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::DOLLAR',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'DOLLARDE'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::DOLLARDE',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'DOLLARFR'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::DOLLARFR',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'DPRODUCT'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DPRODUCT',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DSTDEV'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DSTDEV',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DSTDEVP'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DSTDEVP',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DSUM'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DSUM',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DURATION'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '5,6'
                                                                                                ),
                                'DVAR'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DVAR',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'DVARP'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATABASE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Database::DVARP',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'EDATE'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::EDATE',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'EFFECT'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::EFFECT',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'EOMONTH'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::EOMONTH',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'ERF'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::ERF',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'ERFC'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::ERFC',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ERROR.TYPE'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::ERROR_TYPE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'EVEN'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::EVEN',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'EXACT'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'EXP'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'exp',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'EXPONDIST'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::EXPONDIST',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'FACT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::FACT',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'FACTDOUBLE'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::FACTDOUBLE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'FALSE'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Logical::FALSE',
                                                                                                 'argumentCount'        =>      '0'
                                                                                                ),
                                'FDIST'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'FIND'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::SEARCHSENSITIVE',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'FINDB'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::SEARCHSENSITIVE',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'FINV'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'FISHER'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::FISHER',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'FISHERINV'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::FISHERINV',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'FIXED'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::FIXEDFORMAT',
                                                                                                 'argumentCount'        =>      '1-3'
                                                                                                ),
                                'FLOOR'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::FLOOR',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'FORECAST'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::FORECAST',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'FREQUENCY'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'FTEST'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'FV'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::FV',
                                                                                                 'argumentCount'        =>      '3-5'
                                                                                                ),
                                'FVSCHEDULE'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::FVSCHEDULE',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'GAMMADIST'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::GAMMADIST',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'GAMMAINV'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::GAMMAINV',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'GAMMALN'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::GAMMALN',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'GCD'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::GCD',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'GEOMEAN'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::GEOMEAN',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'GESTEP'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::GESTEP',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'GETPIVOTDATA'                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'GROWTH'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::GROWTH',
                                                                                                 'argumentCount'        =>      '1-4'
                                                                                                ),
                                'HARMEAN'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::HARMEAN',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'HEX2BIN'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::HEXTOBIN',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'HEX2DEC'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::HEXTODEC',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'HEX2OCT'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::HEXTOOCT',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'HLOOKUP'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::HLOOKUP',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'HOUR'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::HOUROFDAY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'HYPERLINK'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::HYPERLINK',
                                                                                                 'argumentCount'        =>      '1,2',
                                                                                                 'passCellReference'=>  TRUE
                                                                                                ),
                                'HYPGEOMDIST'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::HYPGEOMDIST',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'IF'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Logical::STATEMENT_IF',
                                                                                                 'argumentCount'        =>      '1-3'
                                                                                                ),
                                'IFERROR'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Logical::IFERROR',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'IMABS'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMABS',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMAGINARY'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMAGINARY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMARGUMENT'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMARGUMENT',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMCONJUGATE'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMCONJUGATE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMCOS'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMCOS',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMDIV'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMDIV',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'IMEXP'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMEXP',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMLN'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMLN',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMLOG10'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMLOG10',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMLOG2'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMLOG2',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMPOWER'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMPOWER',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'IMPRODUCT'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMPRODUCT',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'IMREAL'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMREAL',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMSIN'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMSIN',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMSQRT'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMSQRT',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'IMSUB'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMSUB',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'IMSUM'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::IMSUM',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'INDEX'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::INDEX',
                                                                                                 'argumentCount'        =>      '1-4'
                                                                                                ),
                                'INDIRECT'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::INDIRECT',
                                                                                                 'argumentCount'        =>      '1,2',
                                                                                                 'passCellReference'=>  TRUE
                                                                                                ),
                                'INFO'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'INT'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::INT',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'INTERCEPT'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::INTERCEPT',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'INTRATE'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::INTRATE',
                                                                                                 'argumentCount'        =>      '4,5'
                                                                                                ),
                                'IPMT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::IPMT',
                                                                                                 'argumentCount'        =>      '4-6'
                                                                                                ),
                                'IRR'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::IRR',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'ISBLANK'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_BLANK',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISERR'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_ERR',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISERROR'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_ERROR',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISEVEN'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_EVEN',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISLOGICAL'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_LOGICAL',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISNA'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_NA',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISNONTEXT'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_NONTEXT',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISNUMBER'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_NUMBER',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISODD'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_ODD',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISPMT'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::ISPMT',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'ISREF'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ISTEXT'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::IS_TEXT',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'JIS'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'KURT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::KURT',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'LARGE'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::LARGE',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'LCM'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::LCM',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'LEFT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::LEFT',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'LEFTB'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::LEFT',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'LEN'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::STRINGLENGTH',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'LENB'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::STRINGLENGTH',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'LINEST'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::LINEST',
                                                                                                 'argumentCount'        =>      '1-4'
                                                                                                ),
                                'LN'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'log',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'LOG'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::LOG_BASE',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'LOG10'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'log10',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'LOGEST'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::LOGEST',
                                                                                                 'argumentCount'        =>      '1-4'
                                                                                                ),
                                'LOGINV'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::LOGINV',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'LOGNORMDIST'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::LOGNORMDIST',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'LOOKUP'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::LOOKUP',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'LOWER'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::LOWERCASE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'MATCH'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::MATCH',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'MAX'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MAX',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'MAXA'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MAXA',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'MAXIF'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MAXIF',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'MDETERM'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::MDETERM',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'MDURATION'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '5,6'
                                                                                                ),
                                'MEDIAN'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MEDIAN',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'MEDIANIF'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'MID'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::MID',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'MIDB'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::MID',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'MIN'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MIN',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'MINA'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MINA',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'MINIF'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MINIF',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'MINUTE'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::MINUTEOFHOUR',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'MINVERSE'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::MINVERSE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'MIRR'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::MIRR',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'MMULT'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::MMULT',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'MOD'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::MOD',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'MODE'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::MODE',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'MONTH'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::MONTHOFYEAR',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'MROUND'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::MROUND',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'MULTINOMIAL'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::MULTINOMIAL',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'N'                                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::N',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'NA'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::NA',
                                                                                                 'argumentCount'        =>      '0'
                                                                                                ),
                                'NEGBINOMDIST'                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::NEGBINOMDIST',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'NETWORKDAYS'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::NETWORKDAYS',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'NOMINAL'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::NOMINAL',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'NORMDIST'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::NORMDIST',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'NORMINV'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::NORMINV',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'NORMSDIST'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::NORMSDIST',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'NORMSINV'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::NORMSINV',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'NOT'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Logical::NOT',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'NOW'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::DATETIMENOW',
                                                                                                 'argumentCount'        =>      '0'
                                                                                                ),
                                'NPER'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::NPER',
                                                                                                 'argumentCount'        =>      '3-5'
                                                                                                ),
                                'NPV'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::NPV',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'OCT2BIN'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::OCTTOBIN',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'OCT2DEC'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::OCTTODEC',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'OCT2HEX'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Engineering::OCTTOHEX',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'ODD'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::ODD',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'ODDFPRICE'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '8,9'
                                                                                                ),
                                'ODDFYIELD'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '8,9'
                                                                                                ),
                                'ODDLPRICE'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '7,8'
                                                                                                ),
                                'ODDLYIELD'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '7,8'
                                                                                                ),
                                'OFFSET'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::OFFSET',
                                                                                                 'argumentCount'        =>      '3,5',
                                                                                                 'passCellReference'=>  TRUE,
                                                                                                 'passByReference'      =>      array(TRUE)
                                                                                                ),
                                'OR'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Logical::LOGICAL_OR',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'PEARSON'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::CORREL',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'PERCENTILE'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::PERCENTILE',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'PERCENTRANK'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::PERCENTRANK',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'PERMUT'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::PERMUT',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'PHONETIC'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'PI'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'pi',
                                                                                                 'argumentCount'        =>      '0'
                                                                                                ),
                                'PMT'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::PMT',
                                                                                                 'argumentCount'        =>      '3-5'
                                                                                                ),
                                'POISSON'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::POISSON',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'POWER'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::POWER',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'PPMT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::PPMT',
                                                                                                 'argumentCount'        =>      '4-6'
                                                                                                ),
                                'PRICE'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::PRICE',
                                                                                                 'argumentCount'        =>      '6,7'
                                                                                                ),
                                'PRICEDISC'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::PRICEDISC',
                                                                                                 'argumentCount'        =>      '4,5'
                                                                                                ),
                                'PRICEMAT'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::PRICEMAT',
                                                                                                 'argumentCount'        =>      '5,6'
                                                                                                ),
                                'PROB'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'PRODUCT'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::PRODUCT',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'PROPER'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::PROPERCASE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'PV'                                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::PV',
                                                                                                 'argumentCount'        =>      '3-5'
                                                                                                ),
                                'QUARTILE'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::QUARTILE',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'QUOTIENT'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::QUOTIENT',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'RADIANS'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'deg2rad',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'RAND'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::RAND',
                                                                                                 'argumentCount'        =>      '0'
                                                                                                ),
                                'RANDBETWEEN'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::RAND',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'RANK'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::RANK',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'RATE'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::RATE',
                                                                                                 'argumentCount'        =>      '3-6'
                                                                                                ),
                                'RECEIVED'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::RECEIVED',
                                                                                                 'argumentCount'        =>      '4-5'
                                                                                                ),
                                'REPLACE'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::REPLACE',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'REPLACEB'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::REPLACE',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'REPT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'str_repeat',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'RIGHT'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::RIGHT',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'RIGHTB'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::RIGHT',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'ROMAN'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::ROMAN',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'ROUND'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'round',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'ROUNDDOWN'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::ROUNDDOWN',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'ROUNDUP'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::ROUNDUP',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'ROW'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::ROW',
                                                                                                 'argumentCount'        =>      '-1',
                                                                                                 'passByReference'      =>      array(TRUE)
                                                                                                ),
                                'ROWS'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::ROWS',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'RSQ'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::RSQ',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'RTD'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'SEARCH'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::SEARCHINSENSITIVE',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'SEARCHB'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::SEARCHINSENSITIVE',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'SECOND'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::SECONDOFMINUTE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'SERIESSUM'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SERIESSUM',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'SIGN'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SIGN',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'SIN'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'sin',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'SINH'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'sinh',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'SKEW'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::SKEW',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'SLN'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::SLN',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'SLOPE'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::SLOPE',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'SMALL'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::SMALL',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'SQRT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'sqrt',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'SQRTPI'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SQRTPI',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'STANDARDIZE'                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::STANDARDIZE',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'STDEV'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::STDEV',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'STDEVA'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::STDEVA',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'STDEVP'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::STDEVP',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'STDEVPA'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::STDEVPA',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'STEYX'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::STEYX',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'SUBSTITUTE'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::SUBSTITUTE',
                                                                                                 'argumentCount'        =>      '3,4'
                                                                                                ),
                                'SUBTOTAL'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUBTOTAL',
                                                                                                 'argumentCount'        =>      '2+'
                                                                                                ),
                                'SUM'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUM',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'SUMIF'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUMIF',
                                                                                                 'argumentCount'        =>      '2,3'
                                                                                                ),
                                'SUMIFS'                                => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '?'
                                                                                                ),
                                'SUMPRODUCT'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUMPRODUCT',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'SUMSQ'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUMSQ',
                                                                                                 'argumentCount'        =>      '1+'
                                                                                                ),
                                'SUMX2MY2'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUMX2MY2',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'SUMX2PY2'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUMX2PY2',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'SUMXMY2'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::SUMXMY2',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'SYD'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::SYD',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'T'                                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::RETURNSTRING',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'TAN'                                   => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'tan',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'TANH'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'tanh',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'TBILLEQ'                               => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::TBILLEQ',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'TBILLPRICE'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::TBILLPRICE',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'TBILLYIELD'                    => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Financial::TBILLYIELD',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'TDIST'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::TDIST',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'TEXT'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::TEXTFORMAT',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'TIME'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::TIME',
                                                                                                 'argumentCount'        =>      '3'
                                                                                                ),
                                'TIMEVALUE'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::TIMEVALUE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'TINV'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::TINV',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'TODAY'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_DateTime::DATENOW',
                                                                                                 'argumentCount'        =>      '0'
                                                                                                ),
                                'TRANSPOSE'                             => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_LookupRef::TRANSPOSE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'TREND'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::TREND',
                                                                                                 'argumentCount'        =>      '1-4'
                                                                                                ),
                                'TRIM'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::TRIMSPACES',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'TRIMMEAN'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Statistical::TRIMMEAN',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'TRUE'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Logical::TRUE',
                                                                                                 'argumentCount'        =>      '0'
                                                                                                ),
                                'TRUNC'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_MathTrig::TRUNC',
                                                                                                 'argumentCount'        =>      '1,2'
                                                                                                ),
                                'TTEST'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '4'
                                                                                                ),
                                'TYPE'                                  => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::TYPE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'UPPER'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_TextData::UPPERCASE',
                                                                                                 'argumentCount'        =>      '1'
                                                                                                ),
                                'USDOLLAR'                              => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_Functions::DUMMY',
                                                                                                 'argumentCount'        =>      '2'
                                                                                                ),
                                'VALUE'                                 => array('category'                     =>      PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
                                                                                                 'functionCall'         =>      'PHPExcel_Calculation_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'
                                                                        )
                        );




        private function __construct(PHPExcel $workbook = NULL) {
                $setPrecision = (PHP_INT_SIZE == 4) ? 14 : 16;
                $this->_savedPrecision = ini_get('precision');
                if ($this->_savedPrecision < $setPrecision) {
                        ini_set('precision',$setPrecision);
                }
                $this->delta = 1 * pow(10, -$setPrecision);

                if ($workbook !== NULL) {
                        self::$_workbookSets[$workbook->getID()] = $this;
                }

                $this->_workbook = $workbook;
                $this->_cyclicReferenceStack = new PHPExcel_CalcEngine_CyclicReferenceStack();
            $this->_debugLog = new PHPExcel_CalcEngine_Logger($this->_cyclicReferenceStack);
        }       //      function __construct()


        public function __destruct() {
                if ($this->_savedPrecision != ini_get('precision')) {
                        ini_set('precision',$this->_savedPrecision);
                }
        }

        private static function _loadLocales() {
                $localeFileDirectory = PHPEXCEL_ROOT.'PHPExcel/locale/';
                foreach (glob($localeFileDirectory.'/*',GLOB_ONLYDIR) as $filename) {
                        $filename = substr($filename,strlen($localeFileDirectory)+1);
                        if ($filename != 'en') {
                                self::$_validLocaleLanguages[] = $filename;
                        }
                }
        }

        public static function getInstance(PHPExcel $workbook = NULL) {
                if ($workbook !== NULL) {
                if (isset(self::$_workbookSets[$workbook->getID()])) {
                        return self::$_workbookSets[$workbook->getID()];
                }
                        return new PHPExcel_Calculation($workbook);
                }

                if (!isset(self::$_instance) || (self::$_instance === NULL)) {
                        self::$_instance = new PHPExcel_Calculation();
                }

                return self::$_instance;
        }       //      function getInstance()

        public static function unsetInstance(PHPExcel $workbook = NULL) {
                if ($workbook !== NULL) {
                if (isset(self::$_workbookSets[$workbook->getID()])) {
                        unset(self::$_workbookSets[$workbook->getID()]);
                }
                }
    }

        public function flushInstance() {
                $this->clearCalculationCache();
        }       //      function flushInstance()


        public function getDebugLog() {
                return $this->_debugLog;
        }

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


        public static function getTRUE() {
                return self::$_localeBoolean['TRUE'];
        }

        public static function getFALSE() {
                return self::$_localeBoolean['FALSE'];
        }

        public static function setArrayReturnType($returnType) {
                if (($returnType == self::RETURN_ARRAY_AS_VALUE) ||
                        ($returnType == self::RETURN_ARRAY_AS_ERROR) ||
                        ($returnType == self::RETURN_ARRAY_AS_ARRAY)) {
                        self::$returnArrayAsType = $returnType;
                        return TRUE;
                }
                return FALSE;
        }       //      function setArrayReturnType()


        public static function getArrayReturnType() {
                return self::$returnArrayAsType;
        }       //      function getArrayReturnType()


        public function getCalculationCacheEnabled() {
                return $this->_calculationCacheEnabled;
        }       //      function getCalculationCacheEnabled()

        public function setCalculationCacheEnabled($pValue = TRUE) {
                $this->_calculationCacheEnabled = $pValue;
                $this->clearCalculationCache();
        }       //      function setCalculationCacheEnabled()


        public function enableCalculationCache() {
                $this->setCalculationCacheEnabled(TRUE);
        }       //      function enableCalculationCache()


        public function disableCalculationCache() {
                $this->setCalculationCacheEnabled(FALSE);
        }       //      function disableCalculationCache()


        public function clearCalculationCache() {
                $this->_calculationCache = array();
        }       //      function clearCalculationCache()

        public function clearCalculationCacheForWorksheet($worksheetName) {
                if (isset($this->_calculationCache[$worksheetName])) {
                        unset($this->_calculationCache[$worksheetName]);
                }
        }       //      function clearCalculationCacheForWorksheet()

        public function renameCalculationCacheForWorksheet($fromWorksheetName, $toWorksheetName) {
                if (isset($this->_calculationCache[$fromWorksheetName])) {
                        $this->_calculationCache[$toWorksheetName] = &$this->_calculationCache[$fromWorksheetName];
                        unset($this->_calculationCache[$fromWorksheetName]);
                }
        }       //      function renameCalculationCacheForWorksheet()


        public function getLocale() {
                return self::$_localeLanguage;
        }       //      function getLocale()


        public function setLocale($locale = 'en_us') {
                //      Identify our locale and language
                $language = $locale = strtolower($locale);
                if (strpos($locale,'_') !== FALSE) {
                        list($language) = explode('_',$locale);
                }

                if (count(self::$_validLocaleLanguages) == 1)
                        self::_loadLocales();

                //      Test whether we have any language data for this language (any locale)
                if (in_array($language,self::$_validLocaleLanguages)) {
                        //      initialise language/locale settings
                        self::$_localeFunctions = array();
                        self::$_localeArgumentSeparator = ',';
                        self::$_localeBoolean = array('TRUE' => 'TRUE', 'FALSE' => 'FALSE', 'NULL' => 'NULL');
                        //      Default is English, if user isn't requesting english, then read the necessary data from the locale files
                        if ($locale != 'en_us') {
                                //      Search for a file with a list of function names for locale
                                $functionNamesFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.str_replace('_',DIRECTORY_SEPARATOR,$locale).DIRECTORY_SEPARATOR.'functions';
                                if (!file_exists($functionNamesFile)) {
                                        //      If there isn't a locale specific function file, look for a language specific function file
                                        $functionNamesFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.$language.DIRECTORY_SEPARATOR.'functions';
                                        if (!file_exists($functionNamesFile)) {
                                                return FALSE;
                                        }
                                }
                                //      Retrieve the list of locale or language specific function names
                                $localeFunctions = file($functionNamesFile,FILE_IGNORE_NEW_LINES | FILE_SKIP_EMPTY_LINES);
                                foreach ($localeFunctions as $localeFunction) {
                                        list($localeFunction) = explode('##',$localeFunction);  //      Strip out comments
                                        if (strpos($localeFunction,'=') !== FALSE) {
                                                list($fName,$lfName) = explode('=',$localeFunction);
                                                $fName = trim($fName);
                                                $lfName = trim($lfName);
                                                if ((isset(self::$_PHPExcelFunctions[$fName])) && ($lfName != '') && ($fName != $lfName)) {
                                                        self::$_localeFunctions[$fName] = $lfName;
                                                }
                                        }
                                }
                                //      Default the TRUE and FALSE constants to the locale names of the TRUE() and FALSE() functions
                                if (isset(self::$_localeFunctions['TRUE'])) { self::$_localeBoolean['TRUE'] = self::$_localeFunctions['TRUE']; }
                                if (isset(self::$_localeFunctions['FALSE'])) { self::$_localeBoolean['FALSE'] = self::$_localeFunctions['FALSE']; }

                                $configFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.str_replace('_',DIRECTORY_SEPARATOR,$locale).DIRECTORY_SEPARATOR.'config';
                                if (!file_exists($configFile)) {
                                        $configFile = PHPEXCEL_ROOT . 'PHPExcel'.DIRECTORY_SEPARATOR.'locale'.DIRECTORY_SEPARATOR.$language.DIRECTORY_SEPARATOR.'config';
                                }
                                if (file_exists($configFile)) {
                                        $localeSettings = file($configFile,FILE_IGNORE_NEW_LINES | FILE_SKIP_EMPTY_LINES);
                                        foreach ($localeSettings as $localeSetting) {
                                                list($localeSetting) = explode('##',$localeSetting);    //      Strip out comments
                                                if (strpos($localeSetting,'=') !== FALSE) {
                                                        list($settingName,$settingValue) = explode('=',$localeSetting);
                                                        $settingName = strtoupper(trim($settingName));
                                                        switch ($settingName) {
                                                                case 'ARGUMENTSEPARATOR' :
                                                                        self::$_localeArgumentSeparator = trim($settingValue);
                                                                        break;
                                                        }
                                                }
                                        }
                                }
                        }

                        self::$functionReplaceFromExcel = self::$functionReplaceToExcel =
                        self::$functionReplaceFromLocale = self::$functionReplaceToLocale = NULL;
                        self::$_localeLanguage = $locale;
                        return TRUE;
                }
                return FALSE;
        }       //      function setLocale()



        public static function _translateSeparator($fromSeparator,$toSeparator,$formula,&$inBraces) {
                $strlen = mb_strlen($formula);
                for ($i = 0; $i < $strlen; ++$i) {
                        $chr = mb_substr($formula,$i,1);
                        switch ($chr) {
                                case '{' :      $inBraces = TRUE;
                                                        break;
                                case '}' :      $inBraces = FALSE;
                                                        break;
                                case $fromSeparator :
                                                        if (!$inBraces) {
                                                                $formula = mb_substr($formula,0,$i).$toSeparator.mb_substr($formula,$i+1);
                                                        }
                        }
                }
                return $formula;
        }

        private static function _translateFormula($from,$to,$formula,$fromSeparator,$toSeparator) {
                //      Convert any Excel function names to the required language
                if (self::$_localeLanguage !== 'en_us') {
                        $inBraces = FALSE;
                        //      If there is the possibility of braces within a quoted string, then we don't treat those as matrix indicators
                        if (strpos($formula,'"') !== FALSE) {
                                //      So instead we skip replacing in any quoted strings by only replacing in every other array element after we've exploded
                                //              the formula
                                $temp = explode('"',$formula);
                                $i = FALSE;
                                foreach($temp as &$value) {
                                        //      Only count/replace in alternating array entries
                                        if ($i = !$i) {
                                                $value = preg_replace($from,$to,$value);
                                                $value = self::_translateSeparator($fromSeparator,$toSeparator,$value,$inBraces);
                                        }
                                }
                                unset($value);
                                //      Then rebuild the formula string
                                $formula = implode('"',$temp);
                        } else {
                                //      If there's no quoted strings, then we do a simple count/replace
                                $formula = preg_replace($from,$to,$formula);
                                $formula = self::_translateSeparator($fromSeparator,$toSeparator,$formula,$inBraces);
                        }
                }

                return $formula;
        }

        private static $functionReplaceFromExcel        = NULL;
        private static $functionReplaceToLocale         = NULL;

        public function _translateFormulaToLocale($formula) {
                if (self::$functionReplaceFromExcel === NULL) {
                        self::$functionReplaceFromExcel = array();
                        foreach(array_keys(self::$_localeFunctions) as $excelFunctionName) {
                                self::$functionReplaceFromExcel[] = '/(@?[^\w\.])'.preg_quote($excelFunctionName).'([\s]*\()/Ui';
                        }
                        foreach(array_keys(self::$_localeBoolean) as $excelBoolean) {
                                self::$functionReplaceFromExcel[] = '/(@?[^\w\.])'.preg_quote($excelBoolean).'([^\w\.])/Ui';
                        }

                }

                if (self::$functionReplaceToLocale === NULL) {
                        self::$functionReplaceToLocale = array();
                        foreach(array_values(self::$_localeFunctions) as $localeFunctionName) {
                                self::$functionReplaceToLocale[] = '$1'.trim($localeFunctionName).'$2';
                        }
                        foreach(array_values(self::$_localeBoolean) as $localeBoolean) {
                                self::$functionReplaceToLocale[] = '$1'.trim($localeBoolean).'$2';
                        }
                }

                return self::_translateFormula(self::$functionReplaceFromExcel,self::$functionReplaceToLocale,$formula,',',self::$_localeArgumentSeparator);
        }       //      function _translateFormulaToLocale()


        private static $functionReplaceFromLocale       = NULL;
        private static $functionReplaceToExcel          = NULL;

        public function _translateFormulaToEnglish($formula) {
                if (self::$functionReplaceFromLocale === NULL) {
                        self::$functionReplaceFromLocale = array();
                        foreach(array_values(self::$_localeFunctions) as $localeFunctionName) {
                                self::$functionReplaceFromLocale[] = '/(@?[^\w\.])'.preg_quote($localeFunctionName).'([\s]*\()/Ui';
                        }
                        foreach(array_values(self::$_localeBoolean) as $excelBoolean) {
                                self::$functionReplaceFromLocale[] = '/(@?[^\w\.])'.preg_quote($excelBoolean).'([^\w\.])/Ui';
                        }
                }

                if (self::$functionReplaceToExcel === NULL) {
                        self::$functionReplaceToExcel = array();
                        foreach(array_keys(self::$_localeFunctions) as $excelFunctionName) {
                                self::$functionReplaceToExcel[] = '$1'.trim($excelFunctionName).'$2';
                        }
                        foreach(array_keys(self::$_localeBoolean) as $excelBoolean) {
                                self::$functionReplaceToExcel[] = '$1'.trim($excelBoolean).'$2';
                        }
                }

                return self::_translateFormula(self::$functionReplaceFromLocale,self::$functionReplaceToExcel,$formula,self::$_localeArgumentSeparator,',');
        }       //      function _translateFormulaToEnglish()


        public static function _localeFunc($function) {
                if (self::$_localeLanguage !== 'en_us') {
                        $functionName = trim($function,'(');
                        if (isset(self::$_localeFunctions[$functionName])) {
                                $brace = ($functionName != $function);
                                $function = self::$_localeFunctions[$functionName];
                                if ($brace) { $function .= '('; }
                        }
                }
                return $function;
        }




        public static function _wrapResult($value) {
                if (is_string($value)) {
                        //      Error values cannot be "wrapped"
                        if (preg_match('/^'.self::CALCULATION_REGEXP_ERROR.'$/i', $value, $match)) {
                                //      Return Excel errors "as is"
                                return $value;
                        }
                        //      Return strings wrapped in quotes
                        return '"'.$value.'"';
                //      Convert numeric errors to NaN error
                } else if((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {
                        return PHPExcel_Calculation_Functions::NaN();
                }

                return $value;
        }       //      function _wrapResult()


        public static function _unwrapResult($value) {
                if (is_string($value)) {
                        if ((isset($value{0})) && ($value{0} == '"') && (substr($value,-1) == '"')) {
                                return substr($value,1,-1);
                        }
                //      Convert numeric errors to NaN error
                } else if((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {
                        return PHPExcel_Calculation_Functions::NaN();
                }
                return $value;
        }       //      function _unwrapResult()




        public function calculate(PHPExcel_Cell $pCell = NULL) {
                try {
                        return $this->calculateCellValue($pCell);
                } catch (PHPExcel_Exception $e) {
                        throw new PHPExcel_Calculation_Exception($e->getMessage());
                }
        }       //      function calculate()


        public function calculateCellValue(PHPExcel_Cell $pCell = NULL, $resetLog = TRUE) {
                if ($pCell === NULL) {
                        return NULL;
                }

                $returnArrayAsType = self::$returnArrayAsType;
                if ($resetLog) {
                        //      Initialise the logging settings if requested
                        $this->formulaError = null;
                        $this->_debugLog->clearLog();
                        $this->_cyclicReferenceStack->clear();
                        $this->_cyclicFormulaCount = 1;

                        self::$returnArrayAsType = self::RETURN_ARRAY_AS_ARRAY;
                }

                //      Execute the calculation for the cell formula
        $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;
        }       //      function calculateCellValue(


        public function parseFormula($formula) {
                //      Basic validation that this is indeed a formula
                //      We return an empty array if not
                $formula = trim($formula);
                if ((!isset($formula{0})) || ($formula{0} != '=')) return array();
                $formula = ltrim(substr($formula,1));
                if (!isset($formula{0})) return array();

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


        public function calculateFormula($formula, $cellID=NULL, PHPExcel_Cell $pCell = NULL) {
                //      Initialise the logging settings
                $this->formulaError = null;
                $this->_debugLog->clearLog();
                $this->_cyclicReferenceStack->clear();

                //      Disable calculation cacheing because it only applies to cell calculations, not straight formulae
                //      But don't actually flush any cache
                $resetCache = $this->getCalculationCacheEnabled();
                $this->_calculationCacheEnabled = FALSE;
                //      Execute the calculation
                try {
                        $result = self::_unwrapResult($this->_calculateFormulaValue($formula, $cellID, $pCell));
                } catch (PHPExcel_Exception $e) {
                        throw new PHPExcel_Calculation_Exception($e->getMessage());
                }

                //      Reset calculation cacheing to its previous state
                $this->_calculationCacheEnabled = $resetCache;

                return $result;
        }       //      function calculateFormula()


    public function getValueFromCache($cellReference, &$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;
                }
        }

        public function _calculateFormulaValue($formula, $cellID=null, PHPExcel_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);
                $formula = ltrim(substr($formula, 1));
                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->_cyclicFormulaCount;
                                if ($this->_cyclicFormulaCount >= $this->cyclicFormulaCount) {
                    $this->_cyclicFormulaCell = '';
                                        return $cellValue;
                                }
                        } elseif ($this->_cyclicFormulaCell == '') {
                                if ($this->_cyclicFormulaCount >= $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;
        }       //      function _calculateFormulaValue()


        private static function _checkMatrixOperands(&$operand1,&$operand2,$resize = 1) {
                //      Examine each of the two operands, and turn them into an array if they aren't one already
                //      Note that this function should only be called if one or both of the operand is already an array
                if (!is_array($operand1)) {
                        list($matrixRows,$matrixColumns) = self::_getMatrixDimensions($operand2);
                        $operand1 = array_fill(0,$matrixRows,array_fill(0,$matrixColumns,$operand1));
                        $resize = 0;
                } elseif (!is_array($operand2)) {
                        list($matrixRows,$matrixColumns) = self::_getMatrixDimensions($operand1);
                        $operand2 = array_fill(0,$matrixRows,array_fill(0,$matrixColumns,$operand2));
                        $resize = 0;
                }

                list($matrix1Rows,$matrix1Columns) = self::_getMatrixDimensions($operand1);
                list($matrix2Rows,$matrix2Columns) = self::_getMatrixDimensions($operand2);
                if (($matrix1Rows == $matrix2Columns) && ($matrix2Rows == $matrix1Columns)) {
                        $resize = 1;
                }

                if ($resize == 2) {
                        //      Given two matrices of (potentially) unequal size, convert the smaller in each dimension to match the larger
                        self::_resizeMatricesExtend($operand1,$operand2,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns);
                } elseif ($resize == 1) {
                        //      Given two matrices of (potentially) unequal size, convert the larger in each dimension to match the smaller
                        self::_resizeMatricesShrink($operand1,$operand2,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns);
                }
                return array( $matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns);
        }       //      function _checkMatrixOperands()


        public static function _getMatrixDimensions(&$matrix) {
                $matrixRows = count($matrix);
                $matrixColumns = 0;
                foreach($matrix as $rowKey => $rowValue) {
                        $matrixColumns = max(count($rowValue),$matrixColumns);
                        if (!is_array($rowValue)) {
                                $matrix[$rowKey] = array($rowValue);
                        } else {
                                $matrix[$rowKey] = array_values($rowValue);
                        }
                }
                $matrix = array_values($matrix);
                return array($matrixRows,$matrixColumns);
        }       //      function _getMatrixDimensions()


        private static function _resizeMatricesShrink(&$matrix1,&$matrix2,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns) {
                if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows)) {
                        if ($matrix2Rows < $matrix1Rows) {
                                for ($i = $matrix2Rows; $i < $matrix1Rows; ++$i) {
                                        unset($matrix1[$i]);
                                }
                        }
                        if ($matrix2Columns < $matrix1Columns) {
                                for ($i = 0; $i < $matrix1Rows; ++$i) {
                                        for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j) {
                                                unset($matrix1[$i][$j]);
                                        }
                                }
                        }
                }

                if (($matrix1Columns < $matrix2Columns) || ($matrix1Rows < $matrix2Rows)) {
                        if ($matrix1Rows < $matrix2Rows) {
                                for ($i = $matrix1Rows; $i < $matrix2Rows; ++$i) {
                                        unset($matrix2[$i]);
                                }
                        }
                        if ($matrix1Columns < $matrix2Columns) {
                                for ($i = 0; $i < $matrix2Rows; ++$i) {
                                        for ($j = $matrix1Columns; $j < $matrix2Columns; ++$j) {
                                                unset($matrix2[$i][$j]);
                                        }
                                }
                        }
                }
        }       //      function _resizeMatricesShrink()


        private static function _resizeMatricesExtend(&$matrix1,&$matrix2,$matrix1Rows,$matrix1Columns,$matrix2Rows,$matrix2Columns) {
                if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows)) {
                        if ($matrix2Columns < $matrix1Columns) {
                                for ($i = 0; $i < $matrix2Rows; ++$i) {
                                        $x = $matrix2[$i][$matrix2Columns-1];
                                        for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j) {
                                                $matrix2[$i][$j] = $x;
                                        }
                                }
                        }
                        if ($matrix2Rows < $matrix1Rows) {
                                $x = $matrix2[$matrix2Rows-1];
                                for ($i = 0; $i < $matrix1Rows; ++$i) {
                                        $matrix2[$i] = $x;
                                }
                        }
                }

                if (($matrix1Columns < $matrix2Columns) || ($matrix1Rows < $matrix2Rows)) {
                        if ($matrix1Columns < $matrix2Columns) {
                                for ($i = 0; $i < $matrix1Rows; ++$i) {
                                        $x = $matrix1[$i][$matrix1Columns-1];
                                        for ($j = $matrix1Columns; $j < $matrix2Columns; ++$j) {
                                                $matrix1[$i][$j] = $x;
                                        }
                                }
                        }
                        if ($matrix1Rows < $matrix2Rows) {
                                $x = $matrix1[$matrix1Rows-1];
                                for ($i = 0; $i < $matrix2Rows; ++$i) {
                                        $matrix1[$i] = $x;
                                }
                        }
                }
        }       //      function _resizeMatricesExtend()


        private function _showValue($value) {
                if ($this->_debugLog->getWriteDebugLog()) {
                        $testArray = PHPExcel_Calculation_Functions::flattenArray($value);
                        if (count($testArray) == 1) {
                                $value = array_pop($testArray);
                        }

                        if (is_array($value)) {
                                $returnMatrix = array();
                                $pad = $rpad = ', ';
                                foreach($value as $row) {
                                        if (is_array($row)) {
                                                $returnMatrix[] = implode($pad,array_map(array($this,'_showValue'),$row));
                                                $rpad = '; ';
                                        } else {
                                                $returnMatrix[] = $this->_showValue($row);
                                        }
                                }
                                return '{ '.implode($rpad,$returnMatrix).' }';
                        } elseif(is_string($value) && (trim($value,'"') == $value)) {
                                return '"'.$value.'"';
                        } elseif(is_bool($value)) {
                                return ($value) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];
                        }
                }
                return PHPExcel_Calculation_Functions::flattenSingleValue($value);
        }       //      function _showValue()


        private function _showTypeDetails($value) {
                if ($this->_debugLog->getWriteDebugLog()) {
                        $testArray = PHPExcel_Calculation_Functions::flattenArray($value);
                        if (count($testArray) == 1) {
                                $value = array_pop($testArray);
                        }

                        if ($value === NULL) {
                                return 'a NULL value';
                        } elseif (is_float($value)) {
                                $typeString = 'a floating point number';
                        } elseif(is_int($value)) {
                                $typeString = 'an integer number';
                        } elseif(is_bool($value)) {
                                $typeString = 'a boolean';
                        } elseif(is_array($value)) {
                                $typeString = 'a matrix';
                        } else {
                                if ($value == '') {
                                        return 'an empty string';
                                } elseif ($value{0} == '#') {
                                        return 'a '.$value.' error';
                                } else {
                                        $typeString = 'a string';
                                }
                        }
                        return $typeString.' with a value of '.$this->_showValue($value);
                }
        }       //      function _showTypeDetails()


        private function _convertMatrixReferences($formula) {
                static $matrixReplaceFrom = array('{',';','}');
                static $matrixReplaceTo = array('MKMATRIX(MKMATRIX(','),MKMATRIX(','))');

                //      Convert any Excel matrix references to the MKMATRIX() function
                if (strpos($formula,'{') !== FALSE) {
                        //      If there is the possibility of braces within a quoted string, then we don't treat those as matrix indicators
                        if (strpos($formula,'"') !== FALSE) {
                                //      So instead we skip replacing in any quoted strings by only replacing in every other array element after we've exploded
                                //              the formula
                                $temp = explode('"',$formula);
                                //      Open and Closed counts used for trapping mismatched braces in the formula
                                $openCount = $closeCount = 0;
                                $i = FALSE;
                                foreach($temp as &$value) {
                                        //      Only count/replace in alternating array entries
                                        if ($i = !$i) {
                                                $openCount += substr_count($value,'{');
                                                $closeCount += substr_count($value,'}');
                                                $value = str_replace($matrixReplaceFrom,$matrixReplaceTo,$value);
                                        }
                                }
                                unset($value);
                                //      Then rebuild the formula string
                                $formula = implode('"',$temp);
                        } else {
                                //      If there's no quoted strings, then we do a simple count/replace
                                $openCount = substr_count($formula,'{');
                                $closeCount = substr_count($formula,'}');
                                $formula = str_replace($matrixReplaceFrom,$matrixReplaceTo,$formula);
                        }
                        //      Trap for mismatched braces and trigger an appropriate error
                        if ($openCount < $closeCount) {
                                if ($openCount > 0) {
                                        return $this->_raiseFormulaError("Formula Error: Mismatched matrix braces '}'");
                                } else {
                                        return $this->_raiseFormulaError("Formula Error: Unexpected '}' encountered");
                                }
                        } elseif ($openCount > $closeCount) {
                                if ($closeCount > 0) {
                                        return $this->_raiseFormulaError("Formula Error: Mismatched matrix braces '{'");
                                } else {
                                        return $this->_raiseFormulaError("Formula Error: Unexpected '{' encountered");
                                }
                        }
                }

                return $formula;
        }       //      function _convertMatrixReferences()


        private static function _mkMatrix() {
                return func_get_args();
        }       //      function _mkMatrix()


        //      Binary Operators
        //      These operators always work on two values
        //      Array key is the operator, the value indicates whether this is a left or right associative operator
        private static $_operatorAssociativity  = array(
                '^' => 0,                                                                                                                       //      Exponentiation
                '*' => 0, '/' => 0,                                                                                             //      Multiplication and Division
                '+' => 0, '-' => 0,                                                                                                     //      Addition and Subtraction
                '&' => 0,                                                                                                                       //      Concatenation
                '|' => 0, ':' => 0,                                                                                                     //      Intersect and Range
                '>' => 0, '<' => 0, '=' => 0, '>=' => 0, '<=' => 0, '<>' => 0           //      Comparison
        );

        //      Comparison (Boolean) Operators
        //      These operators work on two values, but always return a boolean result
        private static $_comparisonOperators    = array('>' => TRUE, '<' => TRUE, '=' => TRUE, '>=' => TRUE, '<=' => TRUE, '<>' => TRUE);

        //      Operator Precedence
        //      This list includes all valid operators, whether binary (including boolean) or unary (such as %)
        //      Array key is the operator, the value is its precedence
        private static $_operatorPrecedence     = array(
                ':' => 8,                                                                                                                               //      Range
                '|' => 7,                                                                                                                               //      Intersect
                '~' => 6,                                                                                                                               //      Negation
                '%' => 5,                                                                                                                               //      Percentage
                '^' => 4,                                                                                                                               //      Exponentiation
                '*' => 3, '/' => 3,                                                                                                     //      Multiplication and Division
                '+' => 2, '-' => 2,                                                                                                             //      Addition and Subtraction
                '&' => 1,                                                                                                                               //      Concatenation
                '>' => 0, '<' => 0, '=' => 0, '>=' => 0, '<=' => 0, '<>' => 0                   //      Comparison
        );

        // Convert infix to postfix notation
        private function _parseFormula($formula, PHPExcel_Cell $pCell = NULL) {
                if (($formula = $this->_convertMatrixReferences(trim($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
                        $isOperandOrFunction = preg_match($regexpMatchString, substr($formula, $index), $match);
//echo '$isOperandOrFunction is '.(($isOperandOrFunction) ? 'True' : 'False').PHP_EOL;
//var_dump($match);

                        if ($opCharacter == '-' && !$expectingOperator) {                               //      Is it a negation instead of a minus?
//echo 'Element is a Negation operator',PHP_EOL;
                                $stack->push('Unary Operator','~');                                                     //      Put a negation on the stack
                                ++$index;                                                                                                       //              and drop the negation symbol
                        } elseif ($opCharacter == '%' && $expectingOperator) {
//echo 'Element is a Percentage operator',PHP_EOL;
                                $stack->push('Unary Operator','%');                                                     //      Put a percentage on the stack
                                ++$index;
                        } elseif ($opCharacter == '+' && !$expectingOperator) {                 //      Positive (unary plus rather than binary operator plus) can be discarded?
//echo 'Element is a Positive number, not Plus operator',PHP_EOL;
                                ++$index;                                                                                                       //      Drop the redundant plus symbol
                        } elseif ((($opCharacter == '~') || ($opCharacter == '|')) && (!$isOperandOrFunction)) {        //      We have to explicitly deny a tilde or pipe, because they are legal
                                return $this->_raiseFormulaError("Formula Error: Illegal character '~'");                               //              on the stack but not in the input expression

                        } elseif ((isset(self::$_operators[$opCharacter]) or $isOperandOrFunction) && $expectingOperator) {     //      Are we putting an operator on the stack?
//echo 'Element with value '.$opCharacter.' is an Operator',PHP_EOL;
                                while($stack->count() > 0 &&
                                        ($o2 = $stack->last()) &&
                                        isset(self::$_operators[$o2['value']]) &&
                                        @(self::$_operatorAssociativity[$opCharacter] ? self::$_operatorPrecedence[$opCharacter] < self::$_operatorPrecedence[$o2['value']] : self::$_operatorPrecedence[$opCharacter] <= self::$_operatorPrecedence[$o2['value']])) {
                                        $output[] = $stack->pop();                                                              //      Swap operands and higher precedence operators from the stack to the output
                                }
                                $stack->push('Binary Operator',$opCharacter);   //      Finally put our current operator onto the stack
                                ++$index;
                                $expectingOperator = FALSE;

                        } elseif ($opCharacter == ')' && $expectingOperator) {                  //      Are we expecting to close a parenthesis?
//echo 'Element is a Closing bracket',PHP_EOL;
                                $expectingOperand = FALSE;
                                while (($o2 = $stack->pop()) && $o2['value'] != '(') {          //      Pop off the stack back to the last (
                                        if ($o2 === NULL) return $this->_raiseFormulaError('Formula Error: Unexpected closing brace ")"');
                                        else $output[] = $o2;
                                }
                                $d = $stack->last(2);
                                if (preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $d['value'], $matches)) {  //      Did this parenthesis just close a function?
                                        $functionName = $matches[1];                                                                            //      Get the function name
//echo 'Closed Function is '.$functionName,PHP_EOL;
                                        $d = $stack->pop();
                                        $argumentCount = $d['value'];           //      See how many arguments there were (argument count is the next value stored on the stack)
//if ($argumentCount == 0) {
//      echo 'With no arguments',PHP_EOL;
//} elseif ($argumentCount == 1) {
//      echo 'With 1 argument',PHP_EOL;
//} else {
//      echo 'With '.$argumentCount.' arguments',PHP_EOL;
//}
                                        $output[] = $d;                                         //      Dump the argument count on the output
                                        $output[] = $stack->pop();                      //      Pop the function and push onto the output
                                        if (isset(self::$_controlFunctions[$functionName])) {
//echo 'Built-in function '.$functionName,PHP_EOL;
                                                $expectedArgumentCount = self::$_controlFunctions[$functionName]['argumentCount'];
                                                $functionCall = self::$_controlFunctions[$functionName]['functionCall'];
                                        } elseif (isset(self::$_PHPExcelFunctions[$functionName])) {
//echo 'PHPExcel function '.$functionName,PHP_EOL;
                                                $expectedArgumentCount = self::$_PHPExcelFunctions[$functionName]['argumentCount'];
                                                $functionCall = self::$_PHPExcelFunctions[$functionName]['functionCall'];
                                        } else {        // did we somehow push a non-function on the stack? this should never happen
                                                return $this->_raiseFormulaError("Formula Error: Internal error, non-function on stack");
                                        }
                                        //      Check the argument count
                                        $argumentCountError = FALSE;
                                        if (is_numeric($expectedArgumentCount)) {
                                                if ($expectedArgumentCount < 0) {
//echo '$expectedArgumentCount is between 0 and '.abs($expectedArgumentCount),PHP_EOL;
                                                        if ($argumentCount > abs($expectedArgumentCount)) {
                                                                $argumentCountError = TRUE;
                                                                $expectedArgumentCountString = 'no more than '.abs($expectedArgumentCount);
                                                        }
                                                } else {
//echo '$expectedArgumentCount is numeric '.$expectedArgumentCount,PHP_EOL;
                                                        if ($argumentCount != $expectedArgumentCount) {
                                                                $argumentCountError = TRUE;
                                                                $expectedArgumentCountString = $expectedArgumentCount;
                                                        }
                                                }
                                        } elseif ($expectedArgumentCount != '*') {
                                                $isOperandOrFunction = preg_match('/(\d*)([-+,])(\d*)/',$expectedArgumentCount,$argMatch);
//print_r($argMatch);
//echo PHP_EOL;
                                                switch ($argMatch[2]) {
                                                        case '+' :
                                                                if ($argumentCount < $argMatch[1]) {
                                                                        $argumentCountError = TRUE;
                                                                        $expectedArgumentCountString = $argMatch[1].' or more ';
                                                                }
                                                                break;
                                                        case '-' :
                                                                if (($argumentCount < $argMatch[1]) || ($argumentCount > $argMatch[3])) {
                                                                        $argumentCountError = TRUE;
                                                                        $expectedArgumentCountString = 'between '.$argMatch[1].' and '.$argMatch[3];
                                                                }
                                                                break;
                                                        case ',' :
                                                                if (($argumentCount != $argMatch[1]) && ($argumentCount != $argMatch[3])) {
                                                                        $argumentCountError = TRUE;
                                                                        $expectedArgumentCountString = 'either '.$argMatch[1].' or '.$argMatch[3];
                                                                }
                                                                break;
                                                }
                                        }
                                        if ($argumentCountError) {
                                                return $this->_raiseFormulaError("Formula Error: Wrong number of arguments for $functionName() function: $argumentCount given, ".$expectedArgumentCountString." expected");
                                        }
                                }
                                ++$index;

                        } elseif ($opCharacter == ',') {                        //      Is this the separator for function arguments?
//echo 'Element is a Function argument separator',PHP_EOL;
                                while (($o2 = $stack->pop()) && $o2['value'] != '(') {          //      Pop off the stack back to the last (
                                        if ($o2 === NULL) return $this->_raiseFormulaError("Formula Error: Unexpected ,");
                                        else $output[] = $o2;   // pop the argument expression stuff and push onto the output
                                }
                                //      If we've a comma when we're expecting an operand, then what we actually have is a null operand;
                                //              so push a null onto the stack
                                if (($expectingOperand) || (!$expectingOperator)) {
                                        $output[] = array('type' => 'NULL Value', 'value' => self::$_ExcelConstants['NULL'], 'reference' => NULL);
                                }
                                // make sure there was a function
                                $d = $stack->last(2);
                                if (!preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $d['value'], $matches))
                                        return $this->_raiseFormulaError("Formula Error: Unexpected ,");
                                $d = $stack->pop();
                                $stack->push($d['type'],++$d['value'],$d['reference']); // increment the argument count
                                $stack->push('Brace', '(');     // put the ( back on, we'll need to pop back to it again
                                $expectingOperator = FALSE;
                                $expectingOperand = TRUE;
                                ++$index;

                        } elseif ($opCharacter == '(' && !$expectingOperator) {
//                              echo 'Element is an Opening Bracket<br />';
                                $stack->push('Brace', '(');
                                ++$index;

                        } elseif ($isOperandOrFunction && !$expectingOperator) {        // do we now have a function/variable/number?
                                $expectingOperator = TRUE;
                                $expectingOperand = FALSE;
                                $val = $match[1];
                                $length = strlen($val);
//                              echo 'Element with value '.$val.' is an Operand, Variable, Constant, String, Number, Cell Reference or Function<br />';

                                if (preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $val, $matches)) {
                                        $val = preg_replace('/\s/u','',$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() > 0 &&
                                                ($o2 = $stack->last()) &&
                                                isset(self::$_operators[$o2['value']]) &&
                                                @(self::$_operatorAssociativity[$opCharacter] ? self::$_operatorPrecedence[$opCharacter] < self::$_operatorPrecedence[$o2['value']] : self::$_operatorPrecedence[$opCharacter] <= self::$_operatorPrecedence[$o2['value']])) {
                                                $output[] = $stack->pop();                                                              //      Swap operands and higher precedence operators from the stack to the output
                                        }
                                        $stack->push('Binary Operator','|');    //      Put an Intersect Operator on the stack
                                        $expectingOperator = FALSE;
                                }
                        }
                }

                while (($op = $stack->pop()) !== NULL) {        // pop everything off the stack and push onto output
                        if ((is_array($op) && $op['value'] == '(') || ($op === '('))
                                return $this->_raiseFormulaError("Formula Error: Expecting ')'");       // if there are any opening braces on the stack, then braces were unbalanced
                        $output[] = $op;
                }
                return $output;
        }       //      function _parseFormula()


        private static function _dataTestReference(&$operandData)
        {
                $operand = $operandData['value'];
                if (($operandData['reference'] === NULL) && (is_array($operand))) {
                        $rKeys = array_keys($operand);
                        $rowKey = array_shift($rKeys);
                        $cKeys = array_keys(array_keys($operand[$rowKey]));
                        $colKey = array_shift($cKeys);
                        if (ctype_upper($colKey)) {
                                $operandData['reference'] = $colKey.$rowKey;
                        }
                }
                return $operand;
        }

        // evaluate postfix notation
        private function _processTokenStack($tokens, $cellID = NULL, PHPExcel_Cell $pCell = NULL) {
                if ($tokens == FALSE) return FALSE;

                //      If we're using cell caching, then $pCell may well be flushed back to the cache (which detaches the parent cell collection),
                //              so we store the parent cell collection so that we can re-attach it when necessary
                $pCellWorksheet = ($pCell !== NULL) ? $pCell->getWorksheet() : NULL;
                $pCellParent = ($pCell !== NULL) ? $pCell->getParent() : null;
                $stack = new PHPExcel_Calculation_Token_Stack;

                //      Loop through each token in turn
                foreach ($tokens as $tokenData) {
//                      print_r($tokenData);
//                      echo '<br />';
                        $token = $tokenData['value'];
//                      echo '<b>Token is '.$token.'</b><br />';
                        // if the token is a binary operator, pop the top two values off the stack, do the operation, and push the result back on the stack
                        if (isset(self::$_binaryOperators[$token])) {
//                              echo 'Token is a binary operator<br />';
                                //      We must have two operands, error if we don't
                                if (($operand2Data = $stack->pop()) === NULL) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');
                                if (($operand1Data = $stack->pop()) === NULL) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');

                                $operand1 = self::_dataTestReference($operand1Data);
                                $operand2 = self::_dataTestReference($operand2Data);

                                //      Log what we're doing
                                if ($token == ':') {
                                        $this->_debugLog->writeDebugLog('Evaluating Range ', $this->_showValue($operand1Data['reference']), ' ', $token, ' ', $this->_showValue($operand2Data['reference']));
                                } else {
                                        $this->_debugLog->writeDebugLog('Evaluating ', $this->_showValue($operand1), ' ', $token, ' ', $this->_showValue($operand2));
                                }

                                //      Process the operation in the appropriate manner
                                switch ($token) {
                                        //      Comparison (Boolean) Operators
                                        case '>'        :                       //      Greater than
                                        case '<'        :                       //      Less than
                                        case '>='       :                       //      Greater than or Equal to
                                        case '<='       :                       //      Less than or Equal to
                                        case '='        :                       //      Equality
                                        case '<>'       :                       //      Inequality
                                                $this->_executeBinaryComparisonOperation($cellID,$operand1,$operand2,$token,$stack);
                                                break;
                                        //      Binary Operators
                                        case ':'        :                       //      Range
                                                $sheet1 = $sheet2 = '';
                                                if (strpos($operand1Data['reference'],'!') !== FALSE) {
                                                        list($sheet1,$operand1Data['reference']) = explode('!',$operand1Data['reference']);
                                                } else {
                                                        $sheet1 = ($pCellParent !== NULL) ? $pCellWorksheet->getTitle() : '';
                                                }
                                                if (strpos($operand2Data['reference'],'!') !== FALSE) {
                                                        list($sheet2,$operand2Data['reference']) = explode('!',$operand2Data['reference']);
                                                } else {
                                                        $sheet2 = $sheet1;
                                                }
                                                if ($sheet1 == $sheet2) {
                                                        if ($operand1Data['reference'] === NULL) {
                                                                if ((trim($operand1Data['value']) != '') && (is_numeric($operand1Data['value']))) {
                                                                        $operand1Data['reference'] = $pCell->getColumn().$operand1Data['value'];
                                                                } elseif (trim($operand1Data['reference']) == '') {
                                                                        $operand1Data['reference'] = $pCell->getCoordinate();
                                                                } else {
                                                                        $operand1Data['reference'] = $operand1Data['value'].$pCell->getRow();
                                                                }
                                                        }
                                                        if ($operand2Data['reference'] === NULL) {
                                                                if ((trim($operand2Data['value']) != '') && (is_numeric($operand2Data['value']))) {
                                                                        $operand2Data['reference'] = $pCell->getColumn().$operand2Data['value'];
                                                                } elseif (trim($operand2Data['reference']) == '') {
                                                                        $operand2Data['reference'] = $pCell->getCoordinate();
                                                                } else {
                                                                        $operand2Data['reference'] = $operand2Data['value'].$pCell->getRow();
                                                                }
                                                        }

                                                        $oData = array_merge(explode(':',$operand1Data['reference']),explode(':',$operand2Data['reference']));
                                                        $oCol = $oRow = array();
                                                        foreach($oData as $oDatum) {
                                                                $oCR = PHPExcel_Cell::coordinateFromString($oDatum);
                                                                $oCol[] = PHPExcel_Cell::columnIndexFromString($oCR[0]) - 1;
                                                                $oRow[] = $oCR[1];
                                                        }
                                                        $cellRef = PHPExcel_Cell::stringFromColumnIndex(min($oCol)).min($oRow).':'.PHPExcel_Cell::stringFromColumnIndex(max($oCol)).max($oRow);
                                                        if ($pCellParent !== NULL) {
                                                                $cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($sheet1), FALSE);
                                                        } else {
                                                                return $this->_raiseFormulaError('Unable to access Cell Reference');
                                                        }
                                                        $stack->push('Cell Reference',$cellValue,$cellRef);
                                                } else {
                                                        $stack->push('Error',PHPExcel_Calculation_Functions::REF(),NULL);
                                                }

                                                break;
                                        case '+'        :                       //      Addition
                                                $this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'plusEquals',$stack);
                                                break;
                                        case '-'        :                       //      Subtraction
                                                $this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'minusEquals',$stack);
                                                break;
                                        case '*'        :                       //      Multiplication
                                                $this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'arrayTimesEquals',$stack);
                                                break;
                                        case '/'        :                       //      Division
                                                $this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'arrayRightDivide',$stack);
                                                break;
                                        case '^'        :                       //      Exponential
                                                $this->_executeNumericBinaryOperation($cellID,$operand1,$operand2,$token,'power',$stack);
                                                break;
                                        case '&'        :                       //      Concatenation
                                                //      If either of the operands is a matrix, we need to treat them both as matrices
                                                //              (converting the other operand to a matrix if need be); then perform the required
                                                //              matrix operation
                                                if (is_bool($operand1)) {
                                                        $operand1 = ($operand1) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];
                                                }
                                                if (is_bool($operand2)) {
                                                        $operand2 = ($operand2) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];
                                                }
                                                if ((is_array($operand1)) || (is_array($operand2))) {
                                                        //      Ensure that both operands are arrays/matrices
                                                        self::_checkMatrixOperands($operand1,$operand2,2);
                                                        try {
                                                                //      Convert operand 1 from a PHP array to a matrix
                                                                $matrix = new PHPExcel_Shared_JAMA_Matrix($operand1);
                                                                //      Perform the required operation against the operand 1 matrix, passing in operand 2
                                                                $matrixResult = $matrix->concat($operand2);
                                                                $result = $matrixResult->getArray();
                                                        } catch (PHPExcel_Exception $ex) {
                                                                $this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());
                                                                $result = '#VALUE!';
                                                        }
                                                } else {
                                                        $result = '"'.str_replace('""','"',self::_unwrapResult($operand1,'"').self::_unwrapResult($operand2,'"')).'"';
                                                }
                                                $this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));
                                                $stack->push('Value',$result);
                                                break;
                                        case '|'        :                       //      Intersect
                                                $rowIntersect = array_intersect_key($operand1,$operand2);
                                                $cellIntersect = $oCol = $oRow = array();
                                                foreach(array_keys($rowIntersect) as $row) {
                                                        $oRow[] = $row;
                                                        foreach($rowIntersect[$row] as $col => $data) {
                                                                $oCol[] = PHPExcel_Cell::columnIndexFromString($col) - 1;
                                                                $cellIntersect[$row] = array_intersect_key($operand1[$row],$operand2[$row]);
                                                        }
                                                }
                                                $cellRef = PHPExcel_Cell::stringFromColumnIndex(min($oCol)).min($oRow).':'.PHPExcel_Cell::stringFromColumnIndex(max($oCol)).max($oRow);
                                                $this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($cellIntersect));
                                                $stack->push('Value',$cellIntersect,$cellRef);
                                                break;
                                }

                        // if the token is a unary operator, pop one value off the stack, do the operation, and push it back on
                        } elseif (($token === '~') || ($token === '%')) {
//                              echo 'Token is a unary operator<br />';
                                if (($arg = $stack->pop()) === NULL) return $this->_raiseFormulaError('Internal error - Operand value missing from stack');
                                $arg = $arg['value'];
                                if ($token === '~') {
//                                      echo 'Token is a negation operator<br />';
                                        $this->_debugLog->writeDebugLog('Evaluating Negation of ', $this->_showValue($arg));
                                        $multiplier = -1;
                                } else {
//                                      echo 'Token is a percentile operator<br />';
                                        $this->_debugLog->writeDebugLog('Evaluating Percentile of ', $this->_showValue($arg));
                                        $multiplier = 0.01;
                                }
                                if (is_array($arg)) {
                                        self::_checkMatrixOperands($arg,$multiplier,2);
                                        try {
                                                $matrix1 = new PHPExcel_Shared_JAMA_Matrix($arg);
                                                $matrixResult = $matrix1->arrayTimesEquals($multiplier);
                                                $result = $matrixResult->getArray();
                                        } catch (PHPExcel_Exception $ex) {
                                                $this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());
                                                $result = '#VALUE!';
                                        }
                                        $this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));
                                        $stack->push('Value',$result);
                                } else {
                                        $this->_executeNumericBinaryOperation($cellID,$multiplier,$arg,'*','arrayTimesEquals',$stack);
                                }

                        } elseif (preg_match('/^'.self::CALCULATION_REGEXP_CELLREF.'$/i', $token, $matches)) {
                                $cellRef = NULL;
//                              echo 'Element '.$token.' is a Cell reference<br />';
                                if (isset($matches[8])) {
//                                      echo 'Reference is a Range of cells<br />';
                                        if ($pCell === NULL) {
//                                              We can't access the range, so return a REF error
                                                $cellValue = PHPExcel_Calculation_Functions::REF();
                                        } else {
                                                $cellRef = $matches[6].$matches[7].':'.$matches[9].$matches[10];
                                                if ($matches[2] > '') {
                                                        $matches[2] = trim($matches[2],"\"'");
                                                        if ((strpos($matches[2],'[') !== FALSE) || (strpos($matches[2],']') !== FALSE)) {
                                                                //      It's a Reference to an external workbook (not currently supported)
                                                                return $this->_raiseFormulaError('Unable to access External Workbook');
                                                        }
                                                        $matches[2] = trim($matches[2],"\"'");
//                                                      echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].'<br />';
                                                        $this->_debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in worksheet ', $matches[2]);
                                                        if ($pCellParent !== NULL) {
                                                                $cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($matches[2]), FALSE);
                                                        } else {
                                                                return $this->_raiseFormulaError('Unable to access Cell Reference');
                                                        }
                                                        $this->_debugLog->writeDebugLog('Evaluation Result for cells ', $cellRef, ' in worksheet ', $matches[2], ' is ', $this->_showTypeDetails($cellValue));
//                                                      $cellRef = $matches[2].'!'.$cellRef;
                                                } else {
//                                                      echo '$cellRef='.$cellRef.' in current worksheet<br />';
                                                        $this->_debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in current worksheet');
                                                        if ($pCellParent !== NULL) {
                                                                $cellValue = $this->extractCellRange($cellRef, $pCellWorksheet, FALSE);
                                                        } else {
                                                                return $this->_raiseFormulaError('Unable to access Cell Reference');
                                                        }
                                                        $this->_debugLog->writeDebugLog('Evaluation Result for cells ', $cellRef, ' is ', $this->_showTypeDetails($cellValue));
                                                }
                                        }
                                } else {
//                                      echo 'Reference is a single Cell<br />';
                                        if ($pCell === NULL) {
//                                              We can't access the cell, so return a REF error
                                                $cellValue = PHPExcel_Calculation_Functions::REF();
                                        } else {
                                                $cellRef = $matches[6].$matches[7];
                                                if ($matches[2] > '') {
                                                        $matches[2] = trim($matches[2],"\"'");
                                                        if ((strpos($matches[2],'[') !== FALSE) || (strpos($matches[2],']') !== FALSE)) {
                                                                //      It's a Reference to an external workbook (not currently supported)
                                                                return $this->_raiseFormulaError('Unable to access External Workbook');
                                                        }
//                                                      echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].'<br />';
                                                        $this->_debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in worksheet ', $matches[2]);
                                                        if ($pCellParent !== NULL) {
                                                                $cellSheet = $this->_workbook->getSheetByName($matches[2]);
                                                                if ($cellSheet && $cellSheet->cellExists($cellRef)) {
                                                                        $cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($matches[2]), FALSE);
                                                                        $pCell->attach($pCellParent);
                                                                } else {
                                                                        $cellValue = NULL;
                                                                }
                                                        } else {
                                                                return $this->_raiseFormulaError('Unable to access Cell Reference');
                                                        }
                                                        $this->_debugLog->writeDebugLog('Evaluation Result for cell ', $cellRef, ' in worksheet ', $matches[2], ' is ', $this->_showTypeDetails($cellValue));
//                                                      $cellRef = $matches[2].'!'.$cellRef;
                                                } else {
//                                                      echo '$cellRef='.$cellRef.' in current worksheet<br />';
                                                        $this->_debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in current worksheet');
                                                        if ($pCellParent->isDataSet($cellRef)) {
                                                                $cellValue = $this->extractCellRange($cellRef, $pCellWorksheet, FALSE);
                                                                $pCell->attach($pCellParent);
                                                        } else {
                                                                $cellValue = NULL;
                                                        }
                                                        $this->_debugLog->writeDebugLog('Evaluation Result for cell ', $cellRef, ' is ', $this->_showTypeDetails($cellValue));
                                                }
                                        }
                                }
                                $stack->push('Value',$cellValue,$cellRef);

                        // if the token is a function, pop arguments off the stack, hand them to the function, and push the result back on
                        } elseif (preg_match('/^'.self::CALCULATION_REGEXP_FUNCTION.'$/i', $token, $matches)) {
//                              echo 'Token is a function<br />';
                                $functionName = $matches[1];
                                $argCount = $stack->pop();
                                $argCount = $argCount['value'];
                                if ($functionName != 'MKMATRIX') {
                                        $this->_debugLog->writeDebugLog('Evaluating Function ', self::_localeFunc($functionName), '() with ', (($argCount == 0) ? 'no' : $argCount), ' argument', (($argCount == 1) ? '' : 's'));
                                }
                                if ((isset(self::$_PHPExcelFunctions[$functionName])) || (isset(self::$_controlFunctions[$functionName]))) {    // function
                                        if (isset(self::$_PHPExcelFunctions[$functionName])) {
                                                $functionCall = self::$_PHPExcelFunctions[$functionName]['functionCall'];
                                                $passByReference = isset(self::$_PHPExcelFunctions[$functionName]['passByReference']);
                                                $passCellReference = isset(self::$_PHPExcelFunctions[$functionName]['passCellReference']);
                                        } elseif (isset(self::$_controlFunctions[$functionName])) {
                                                $functionCall = self::$_controlFunctions[$functionName]['functionCall'];
                                                $passByReference = isset(self::$_controlFunctions[$functionName]['passByReference']);
                                                $passCellReference = isset(self::$_controlFunctions[$functionName]['passCellReference']);
                                        }
                                        // get the arguments for this function
//                                      echo 'Function '.$functionName.' expects '.$argCount.' arguments<br />';
                                        $args = $argArrayVals = array();
                                        for ($i = 0; $i < $argCount; ++$i) {
                                                $arg = $stack->pop();
                                                $a = $argCount - $i - 1;
                                                if (($passByReference) &&
                                                        (isset(self::$_PHPExcelFunctions[$functionName]['passByReference'][$a])) &&
                                                        (self::$_PHPExcelFunctions[$functionName]['passByReference'][$a])) {
                                                        if ($arg['reference'] === NULL) {
                                                                $args[] = $cellID;
                                                                if ($functionName != 'MKMATRIX') { $argArrayVals[] = $this->_showValue($cellID); }
                                                        } else {
                                                                $args[] = $arg['reference'];
                                                                if ($functionName != 'MKMATRIX') { $argArrayVals[] = $this->_showValue($arg['reference']); }
                                                        }
                                                } else {
                                                        $args[] = self::_unwrapResult($arg['value']);
                                                        if ($functionName != 'MKMATRIX') { $argArrayVals[] = $this->_showValue($arg['value']); }
                                                }
                                        }
                                        //      Reverse the order of the arguments
                                        krsort($args);
                                        if (($passByReference) && ($argCount == 0)) {
                                                $args[] = $cellID;
                                                $argArrayVals[] = $this->_showValue($cellID);
                                        }
//                                      echo 'Arguments are: ';
//                                      print_r($args);
//                                      echo '<br />';
                                        if ($functionName != 'MKMATRIX') {
                                                if ($this->_debugLog->getWriteDebugLog()) {
                                                        krsort($argArrayVals);
                                                        $this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', implode(self::$_localeArgumentSeparator.' ',PHPExcel_Calculation_Functions::flattenArray($argArrayVals)), ' )');
                                                }
                                        }
                                        //      Process each argument in turn, building the return value as an array
//                                      if (($argCount == 1) && (is_array($args[1])) && ($functionName != 'MKMATRIX')) {
//                                              $operand1 = $args[1];
//                                              $this->_debugLog->writeDebugLog('Argument is a matrix: ', $this->_showValue($operand1));
//                                              $result = array();
//                                              $row = 0;
//                                              foreach($operand1 as $args) {
//                                                      if (is_array($args)) {
//                                                              foreach($args as $arg) {
//                                                                      $this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', $this->_showValue($arg), ' )');
//                                                                      $r = call_user_func_array($functionCall,$arg);
//                                                                      $this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($r));
//                                                                      $result[$row][] = $r;
//                                                              }
//                                                              ++$row;
//                                                      } else {
//                                                              $this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', $this->_showValue($args), ' )');
//                                                              $r = call_user_func_array($functionCall,$args);
//                                                              $this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($r));
//                                                              $result[] = $r;
//                                                      }
//                                              }
//                                      } else {
                                        //      Process the argument with the appropriate function call
                                                if ($passCellReference) {
                                                        $args[] = $pCell;
                                                }
                                                if (strpos($functionCall,'::') !== FALSE) {
                                                        $result = call_user_func_array(explode('::',$functionCall),$args);
                                                } else {
                                                        foreach($args as &$arg) {
                                                                $arg = PHPExcel_Calculation_Functions::flattenSingleValue($arg);
                                                        }
                                                        unset($arg);
                                                        $result = call_user_func_array($functionCall,$args);
                                                }
//                                      }
                                        if ($functionName != 'MKMATRIX') {
                                                $this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($result));
                                        }
                                        $stack->push('Value',self::_wrapResult($result));
                                }

                        } else {
                                // if the token is a number, boolean, string or an Excel error, push it onto the stack
                                if (isset(self::$_ExcelConstants[strtoupper($token)])) {
                                        $excelConstant = strtoupper($token);
//                                      echo 'Token is a PHPExcel constant: '.$excelConstant.'<br />';
                                        $stack->push('Constant Value',self::$_ExcelConstants[$excelConstant]);
                                        $this->_debugLog->writeDebugLog('Evaluating Constant ', $excelConstant, ' as ', $this->_showTypeDetails(self::$_ExcelConstants[$excelConstant]));
                                } elseif ((is_numeric($token)) || ($token === NULL) || (is_bool($token)) || ($token == '') || ($token{0} == '"') || ($token{0} == '#')) {
//                                      echo 'Token is a number, boolean, string, null or an Excel error<br />';
                                        $stack->push('Value',$token);
                                // if the token is a named range, push the named range name onto the stack
                                } elseif (preg_match('/^'.self::CALCULATION_REGEXP_NAMEDRANGE.'$/i', $token, $matches)) {
//                                      echo 'Token is a named range<br />';
                                        $namedRange = $matches[6];
//                                      echo 'Named Range is '.$namedRange.'<br />';
                                        $this->_debugLog->writeDebugLog('Evaluating Named Range ', $namedRange);
                                        $cellValue = $this->extractNamedRange($namedRange, ((NULL !== $pCell) ? $pCellWorksheet : NULL), FALSE);
                                        $pCell->attach($pCellParent);
                                        $this->_debugLog->writeDebugLog('Evaluation Result for named range ', $namedRange, ' is ', $this->_showTypeDetails($cellValue));
                                        $stack->push('Named Range',$cellValue,$namedRange);
                                } else {
                                        return $this->_raiseFormulaError("undefined variable '$token'");
                                }
                        }
                }
                // when we're out of tokens, the stack should have a single element, the final result
                if ($stack->count() != 1) return $this->_raiseFormulaError("internal error");
                $output = $stack->pop();
                $output = $output['value'];

//              if ((is_array($output)) && (self::$returnArrayAsType != self::RETURN_ARRAY_AS_ARRAY)) {
//                      return array_shift(PHPExcel_Calculation_Functions::flattenArray($output));
//              }
                return $output;
        }       //      function _processTokenStack()


        private function _validateBinaryOperand($cellID, &$operand, &$stack) {
                if (is_array($operand)) {
                        if ((count($operand, COUNT_RECURSIVE) - count($operand)) == 1) {
                                do {
                                        $operand = array_pop($operand);
                                } while (is_array($operand));
                        }
                }
                //      Numbers, matrices and booleans can pass straight through, as they're already valid
                if (is_string($operand)) {
                        //      We only need special validations for the operand if it is a string
                        //      Start by stripping off the quotation marks we use to identify true excel string values internally
                        if ($operand > '' && $operand{0} == '"') { $operand = self::_unwrapResult($operand); }
                        //      If the string is a numeric value, we treat it as a numeric, so no further testing
                        if (!is_numeric($operand)) {
                                //      If not a numeric, test to see if the value is an Excel error, and so can't be used in normal binary operations
                                if ($operand > '' && $operand{0} == '#') {
                                        $stack->push('Value', $operand);
                                        $this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($operand));
                                        return FALSE;
                                } elseif (!PHPExcel_Shared_String::convertToNumberIfFraction($operand)) {
                                        //      If not a numeric or a fraction, then it's a text string, and so can't be used in mathematical binary operations
                                        $stack->push('Value', '#VALUE!');
                                        $this->_debugLog->writeDebugLog('Evaluation Result is a ', $this->_showTypeDetails('#VALUE!'));
                                        return FALSE;
                                }
                        }
                }

                //      return a true if the value of the operand is one that we can use in normal binary operations
                return TRUE;
        }       //      function _validateBinaryOperand()


        private function _executeBinaryComparisonOperation($cellID, $operand1, $operand2, $operation, &$stack, $recursingArrays=FALSE) {
                //      If we're dealing with matrix operations, we want a matrix result
                if ((is_array($operand1)) || (is_array($operand2))) {
                        $result = array();
                        if ((is_array($operand1)) && (!is_array($operand2))) {
                                foreach($operand1 as $x => $operandData) {
                                        $this->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operandData), ' ', $operation, ' ', $this->_showValue($operand2));
                                        $this->_executeBinaryComparisonOperation($cellID,$operandData,$operand2,$operation,$stack);
                                        $r = $stack->pop();
                                        $result[$x] = $r['value'];
                                }
                        } elseif ((!is_array($operand1)) && (is_array($operand2))) {
                                foreach($operand2 as $x => $operandData) {
                                        $this->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operand1), ' ', $operation, ' ', $this->_showValue($operandData));
                                        $this->_executeBinaryComparisonOperation($cellID,$operand1,$operandData,$operation,$stack);
                                        $r = $stack->pop();
                                        $result[$x] = $r['value'];
                                }
                        } else {
                                if (!$recursingArrays) { self::_checkMatrixOperands($operand1,$operand2,2); }
                                foreach($operand1 as $x => $operandData) {
                                        $this->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operandData), ' ', $operation, ' ', $this->_showValue($operand2[$x]));
                                        $this->_executeBinaryComparisonOperation($cellID,$operandData,$operand2[$x],$operation,$stack,TRUE);
                                        $r = $stack->pop();
                                        $result[$x] = $r['value'];
                                }
                        }
                        //      Log the result details
                        $this->_debugLog->writeDebugLog('Comparison Evaluation Result is ', $this->_showTypeDetails($result));
                        //      And push the result onto the stack
                        $stack->push('Array',$result);
                        return TRUE;
                }

                //      Simple validate the two operands if they are string values
                if (is_string($operand1) && $operand1 > '' && $operand1{0} == '"') { $operand1 = self::_unwrapResult($operand1); }
                if (is_string($operand2) && $operand2 > '' && $operand2{0} == '"') { $operand2 = self::_unwrapResult($operand2); }

                // Use case insensitive comparaison if not OpenOffice mode
                if (PHPExcel_Calculation_Functions::getCompatibilityMode() != PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE)
                {
                        if (is_string($operand1)) {
                                $operand1 = strtoupper($operand1);
                        }

                        if (is_string($operand2)) {
                                $operand2 = strtoupper($operand2);
                        }
                }

                $useLowercaseFirstComparison = is_string($operand1) && is_string($operand2) && PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE;

                //      execute the necessary operation
                switch ($operation) {
                        //      Greater than
                        case '>':
                                if ($useLowercaseFirstComparison) {
                                        $result = $this->strcmpLowercaseFirst($operand1, $operand2) > 0;
                                } else {
                                        $result = ($operand1 > $operand2);
                                }
                                break;
                        //      Less than
                        case '<':
                                if ($useLowercaseFirstComparison) {
                                        $result = $this->strcmpLowercaseFirst($operand1, $operand2) < 0;
                                } else {
                                        $result = ($operand1 < $operand2);
                                }
                                break;
                        //      Equality
                        case '=':
                if (is_numeric($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;
        }

        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, $operand2, 2);

                        try {
                                //      Convert operand 1 from a PHP array to a matrix
                                $matrix = new PHPExcel_Shared_JAMA_Matrix($operand1);
                                //      Perform the required operation against the operand 1 matrix, passing in operand 2
                                $matrixResult = $matrix->$matrixFunction($operand2);
                                $result = $matrixResult->getArray();
                        } catch (PHPExcel_Exception $ex) {
                                $this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());
                                $result = '#VALUE!';
                        }
                } else {
                        if ((PHPExcel_Calculation_Functions::getCompatibilityMode() != PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) &&
                                ((is_string($operand1) && !is_numeric($operand1) && strlen($operand1)>0) || 
                 (is_string($operand2) && !is_numeric($operand2) && strlen($operand2)>0))) {
                                $result = PHPExcel_Calculation_Functions::VALUE();
                        } else {
                                //      If we're dealing with non-matrix operations, execute the necessary operation
                                switch ($operation) {
                                        //      Addition
                                        case '+':
                                                $result = $operand1 + $operand2;
                                                break;
                                        //      Subtraction
                                        case '-':
                                                $result = $operand1 - $operand2;
                                                break;
                                        //      Multiplication
                                        case '*':
                                                $result = $operand1 * $operand2;
                                                break;
                                        //      Division
                                        case '/':
                                                if ($operand2 == 0) {
                                                        //      Trap for Divide by Zero error
                                                        $stack->push('Value','#DIV/0!');
                                                        $this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails('#DIV/0!'));
                                                        return FALSE;
                                                } else {
                                                        $result = $operand1 / $operand2;
                                                }
                                                break;
                                        //      Power
                                        case '^':
                                                $result = pow($operand1, $operand2);
                                                break;
                                }
                        }
                }

                //      Log the result details
                $this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));
                //      And push the result onto the stack
                $stack->push('Value',$result);
                return TRUE;
        }       //      function _executeNumericBinaryOperation()


        // trigger an error, but nicely, if need be
        protected function _raiseFormulaError($errorMessage) {
                $this->formulaError = $errorMessage;
                $this->_cyclicReferenceStack->clear();
                if (!$this->suppressFormulaErrors) throw new PHPExcel_Calculation_Exception($errorMessage);
                trigger_error($errorMessage, E_USER_ERROR);
        }       //      function _raiseFormulaError()


        public function extractCellRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = NULL, $resetLog = TRUE) {
                // Return value
                $returnValue = array ();

//              echo 'extractCellRange('.$pRange.')',PHP_EOL;
                if ($pSheet !== NULL) {
                        $pSheetName = $pSheet->getTitle();
//                      echo 'Passed sheet name is '.$pSheetName.PHP_EOL;
//                      echo 'Range reference is '.$pRange.PHP_EOL;
                        if (strpos ($pRange, '!') !== false) {
//                              echo '$pRange reference includes sheet reference',PHP_EOL;
                                list($pSheetName,$pRange) = PHPExcel_Worksheet::extractSheetTitle($pRange, true);
//                              echo 'New sheet name is '.$pSheetName,PHP_EOL;
//                              echo 'Adjusted Range reference is '.$pRange,PHP_EOL;
                                $pSheet = $this->_workbook->getSheetByName($pSheetName);
                        }

                        // Extract range
                        $aReferences = PHPExcel_Cell::extractAllCellReferencesInRange($pRange);
                        $pRange = $pSheetName.'!'.$pRange;
                        if (!isset($aReferences[1])) {
                                //      Single cell in range
                                sscanf($aReferences[0],'%[A-Z]%d', $currentCol, $currentRow);
                                $cellValue = NULL;
                                if ($pSheet->cellExists($aReferences[0])) {
                                        $returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);
                                } else {
                                        $returnValue[$currentRow][$currentCol] = NULL;
                                }
                        } else {
                                // Extract cell data for all cells in the range
                                foreach ($aReferences as $reference) {
                                        // Extract range
                                        sscanf($reference,'%[A-Z]%d', $currentCol, $currentRow);
                                        $cellValue = NULL;
                                        if ($pSheet->cellExists($reference)) {
                                                $returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);
                                        } else {
                                                $returnValue[$currentRow][$currentCol] = NULL;
                                        }
                                }
                        }
                }

                // Return
                return $returnValue;
        }       //      function extractCellRange()


        public function extractNamedRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = NULL, $resetLog = TRUE) {
                // Return value
                $returnValue = array ();

//              echo 'extractNamedRange('.$pRange.')<br />';
                if ($pSheet !== NULL) {
                        $pSheetName = $pSheet->getTitle();
//                      echo 'Current sheet name is '.$pSheetName.'<br />';
//                      echo 'Range reference is '.$pRange.'<br />';
                        if (strpos ($pRange, '!') !== false) {
//                              echo '$pRange reference includes sheet reference',PHP_EOL;
                                list($pSheetName,$pRange) = PHPExcel_Worksheet::extractSheetTitle($pRange, true);
//                              echo 'New sheet name is '.$pSheetName,PHP_EOL;
//                              echo 'Adjusted Range reference is '.$pRange,PHP_EOL;
                                $pSheet = $this->_workbook->getSheetByName($pSheetName);
                        }

                        // Named range?
                        $namedRange = PHPExcel_NamedRange::resolveRange($pRange, $pSheet);
                        if ($namedRange !== NULL) {
                                $pSheet = $namedRange->getWorksheet();
//                              echo 'Named Range '.$pRange.' (';
                                $pRange = $namedRange->getRange();
                                $splitRange = PHPExcel_Cell::splitRange($pRange);
                                //      Convert row and column references
                                if (ctype_alpha($splitRange[0][0])) {
                                        $pRange = $splitRange[0][0] . '1:' . $splitRange[0][1] . $namedRange->getWorksheet()->getHighestRow();
                                } elseif(ctype_digit($splitRange[0][0])) {
                                        $pRange = 'A' . $splitRange[0][0] . ':' . $namedRange->getWorksheet()->getHighestColumn() . $splitRange[0][1];
                                }
//                              echo $pRange.') is in sheet '.$namedRange->getWorksheet()->getTitle().'<br />';

//                              if ($pSheet->getTitle() != $namedRange->getWorksheet()->getTitle()) {
//                                      if (!$namedRange->getLocalOnly()) {
//                                              $pSheet = $namedRange->getWorksheet();
//                                      } else {
//                                              return $returnValue;
//                                      }
//                              }
                        } else {
                                return PHPExcel_Calculation_Functions::REF();
                        }

                        // Extract range
                        $aReferences = PHPExcel_Cell::extractAllCellReferencesInRange($pRange);
//                      var_dump($aReferences);
                        if (!isset($aReferences[1])) {
                                //      Single cell (or single column or row) in range
                                list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($aReferences[0]);
                                $cellValue = NULL;
                                if ($pSheet->cellExists($aReferences[0])) {
                                        $returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);
                                } else {
                                        $returnValue[$currentRow][$currentCol] = NULL;
                                }
                        } else {
                                // Extract cell data for all cells in the range
                                foreach ($aReferences as $reference) {
                                        // Extract range
                                        list($currentCol,$currentRow) = PHPExcel_Cell::coordinateFromString($reference);
//                                      echo 'NAMED RANGE: $currentCol='.$currentCol.' $currentRow='.$currentRow.'<br />';
                                        $cellValue = NULL;
                                        if ($pSheet->cellExists($reference)) {
                                                $returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);
                                        } else {
                                                $returnValue[$currentRow][$currentCol] = NULL;
                                        }
                                }
                        }
//                              print_r($returnValue);
//                      echo '<br />';
                }

                // Return
                return $returnValue;
        }       //      function extractNamedRange()


        public function isImplemented($pFunction = '') {
                $pFunction = strtoupper ($pFunction);
                if (isset(self::$_PHPExcelFunctions[$pFunction])) {
                        return (self::$_PHPExcelFunctions[$pFunction]['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY');
                } else {
                        return FALSE;
                }
        }       //      function isImplemented()


        public function listFunctions() {
                // Return value
                $returnValue = array();
                // Loop functions
                foreach(self::$_PHPExcelFunctions as $functionName => $function) {
                        if ($function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY') {
                                $returnValue[$functionName] = new PHPExcel_Calculation_Function($function['category'],
                                                                                                                                                                $functionName,
                                                                                                                                                                $function['functionCall']
                                                                                                                                                           );
                        }
                }

                // Return
                return $returnValue;
        }       //      function listFunctions()


        public function listAllFunctionNames() {
                return array_keys(self::$_PHPExcelFunctions);
        }       //      function listAllFunctionNames()

        public function listFunctionNames() {
                // Return value
                $returnValue = array();
                // Loop functions
                foreach(self::$_PHPExcelFunctions as $functionName => $function) {
                        if ($function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY') {
                                $returnValue[] = $functionName;
                        }
                }

                // Return
                return $returnValue;
        }       //      function listFunctionNames()

}       //      class PHPExcel_Calculation