<?php

namespace PhpOffice\PhpSpreadsheet\Calculation;


> use PhpOffice\PhpSpreadsheet\Calculation\Engine\BranchPruner;


use PhpOffice\PhpSpreadsheet\Calculation\Engine\CyclicReferenceStack;
use PhpOffice\PhpSpreadsheet\Calculation\Engine\Logger;

> use PhpOffice\PhpSpreadsheet\Calculation\Information\ErrorValue;
use PhpOffice\PhpSpreadsheet\Calculation\Token\Stack;
> use PhpOffice\PhpSpreadsheet\Calculation\Information\ExcelError;


use PhpOffice\PhpSpreadsheet\Cell\Cell;
use PhpOffice\PhpSpreadsheet\Cell\Coordinate;

< use PhpOffice\PhpSpreadsheet\NamedRange;



> use PhpOffice\PhpSpreadsheet\Cell\DataType;
> use PhpOffice\PhpSpreadsheet\DefinedName;
> use PhpOffice\PhpSpreadsheet\ReferenceHelper;


use PhpOffice\PhpSpreadsheet\Shared;
use PhpOffice\PhpSpreadsheet\Spreadsheet;
use PhpOffice\PhpSpreadsheet\Worksheet\Worksheet;

> use ReflectionClassConstant;

> use ReflectionMethod;
class Calculation
> use ReflectionParameter;


{
    /** Constants                */
    /** Regular Expressions        */
    //    Numeric operand
    const CALCULATION_REGEXP_NUMBER = '[-+]?\d*\.?\d+(e[-+]?\d+)?';
    //    String operand
    const CALCULATION_REGEXP_STRING = '"(?:[^"]|"")*"';
    //    Opening bracket
    const CALCULATION_REGEXP_OPENBRACE = '\(';
    //    Function (allow for the old @ symbol that could be used to prefix a function, but we'll ignore it)

<     const CALCULATION_REGEXP_FUNCTION = '@?(?:_xlfn\.)?([A-Z][A-Z0-9\.]*)[\s]*\(';



>     const CALCULATION_REGEXP_FUNCTION = '@?(?:_xlfn\.)?([\p{L}][\p{L}\p{N}\.]*)[\s]*\(';


    //    Cell reference (cell or range of cells, with or without a sheet reference)

<     const CALCULATION_REGEXP_CELLREF = '((([^\s,!&%^\/\*\+<>=-]*)|(\'[^\']*\')|(\"[^\"]*\"))!)?\$?\b([a-z]{1,3})\$?(\d{1,7})(?![\w.])';
<     //    Named Range of cells
<     const CALCULATION_REGEXP_NAMEDRANGE = '((([^\s,!&%^\/\*\+<>=-]*)|(\'[^\']*\')|(\"[^\"]*\"))!)?([_A-Z][_A-Z0-9\.]*)';



>     const CALCULATION_REGEXP_CELLREF = '((([^\s,!&%^\/\*\+<>=:`-]*)|(\'(?:[^\']|\'[^!])+?\')|(\"(?:[^\"]|\"[^!])+?\"))!)?\$?\b([a-z]{1,3})\$?(\d{1,7})(?![\w.])';
>     //    Cell reference (with or without a sheet reference) ensuring absolute/relative
>     const CALCULATION_REGEXP_CELLREF_RELATIVE = '((([^\s\(,!&%^\/\*\+<>=:`-]*)|(\'(?:[^\']|\'[^!])+?\')|(\"(?:[^\"]|\"[^!])+?\"))!)?(\$?\b[a-z]{1,3})(\$?\d{1,7})(?![\w.])';
>     const CALCULATION_REGEXP_COLUMN_RANGE = '(((([^\s\(,!&%^\/\*\+<>=:`-]*)|(\'(?:[^\']|\'[^!])+?\')|(\".(?:[^\"]|\"[^!])?\"))!)?(\$?[a-z]{1,3})):(?![.*])';
>     const CALCULATION_REGEXP_ROW_RANGE = '(((([^\s\(,!&%^\/\*\+<>=:`-]*)|(\'(?:[^\']|\'[^!])+?\')|(\"(?:[^\"]|\"[^!])+?\"))!)?(\$?[1-9][0-9]{0,6})):(?![.*])';
>     //    Cell reference (with or without a sheet reference) ensuring absolute/relative
>     //    Cell ranges ensuring absolute/relative
>     const CALCULATION_REGEXP_COLUMNRANGE_RELATIVE = '(\$?[a-z]{1,3}):(\$?[a-z]{1,3})';
>     const CALCULATION_REGEXP_ROWRANGE_RELATIVE = '(\$?\d{1,7}):(\$?\d{1,7})';
>     //    Defined Names: Named Range of cells, or Named Formulae
>     const CALCULATION_REGEXP_DEFINEDNAME = '((([^\s,!&%^\/\*\+<>=-]*)|(\'(?:[^\']|\'[^!])+?\')|(\"(?:[^\"]|\"[^!])+?\"))!)?([_\p{L}][_\p{L}\p{N}\.]*)';


    //    Error
    const CALCULATION_REGEXP_ERROR = '\#[A-Z][A-Z0_\/]*[!\?]?';

    /** constants */
    const RETURN_ARRAY_AS_ERROR = 'error';
    const RETURN_ARRAY_AS_VALUE = 'value';
    const RETURN_ARRAY_AS_ARRAY = 'array';


>     const FORMULA_OPEN_FUNCTION_BRACE = '(';
    private static $returnArrayAsType = self::RETURN_ARRAY_AS_VALUE;
>     const FORMULA_CLOSE_FUNCTION_BRACE = ')';

>     const FORMULA_OPEN_MATRIX_BRACE = '{';
    /**
>     const FORMULA_CLOSE_MATRIX_BRACE = '}';
     * Instance of this class.
>     const FORMULA_STRING_QUOTE = '"';
     *
> 


     * @var Calculation
     */
    private static $instance;

    /**
     * Instance of the spreadsheet this Calculation Engine is using.
     *
     * @var Spreadsheet
     */
    private $spreadsheet;

    /**
     * Calculation cache.
     *
     * @var array
     */
    private $calculationCache = [];

    /**
     * Calculation cache enabled.
     *
     * @var bool
     */
    private $calculationCacheEnabled = true;

    /**

<      * Used to generate unique store keys.
<      *
<      * @var int



>      * @var BranchPruner


     */

<     private $branchStoreKeyCounter = 0;



>     private $branchPruner;




>     /**
    private $branchPruningEnabled = true;
>      * @var bool

>      */


    /**
     * List of operators that can be used within formulae
     * The true/false value indicates whether it is a binary operator or a unary operator.
     *
     * @var array
     */
    private static $operators = [
        '+' => true, '-' => true, '*' => true, '/' => true,
        '^' => true, '&' => true, '%' => false, '~' => false,
        '>' => true, '<' => true, '=' => true, '>=' => true,

<         '<=' => true, '<>' => true, '|' => true, ':' => true,



>         '<=' => true, '<>' => true, '∩' => true, '∪' => true,
>         ':' => true,


    ];

    /**
     * List of binary operators (those that expect two operands).
     *
     * @var array
     */
    private static $binaryOperators = [
        '+' => true, '-' => true, '*' => true, '/' => true,
        '^' => true, '&' => true, '>' => true, '<' => true,
        '=' => true, '>=' => true, '<=' => true, '<>' => true,

<         '|' => true, ':' => true,



>         '∩' => true, '∪' => true, ':' => true,


    ];

    /**
     * The debug log generated by the calculation engine.
     *
     * @var Logger
     */
    private $debugLog;

    /**
     * Flag to determine how formula errors should be handled
     *        If true, then a user error will be triggered
     *        If false, then an exception will be thrown.
     *
     * @var bool
     */
    public $suppressFormulaErrors = false;

    /**
     * Error message for any error that was raised/thrown by the calculation engine.
     *

<      * @var string



>      * @var null|string


     */
    public $formulaError;

    /**

>      * Reference Helper.
     * An array of the nested cell references accessed by the calculation engine, used for the debug log.
>      *
     *
>      * @var ReferenceHelper
     * @var CyclicReferenceStack
>      */
     */
>     private static $referenceHelper;
    private $cyclicReferenceStack;
> 

>     /**


    private $cellStack = [];

    /**
     * Current iteration counter for cyclic formulae
     * If the value is 0 (or less) then cyclic formulae will throw an exception,
     * otherwise they will iterate to the limit defined here before returning a result.
     *
     * @var int
     */
    private $cyclicFormulaCounter = 1;

    private $cyclicFormulaCell = '';

    /**
     * Number of iterations for cyclic formulae.
     *
     * @var int
     */
    public $cyclicFormulaCount = 1;

    /**

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


     * The current locale setting.
     *
     * @var string
     */
    private static $localeLanguage = 'en_us'; //    US English    (default locale)

    /**
     * List of available locale settings
     * Note that this is read for the locale subdirectory only when requested.
     *
     * @var string[]
     */
    private static $validLocaleLanguages = [
        'en', //    English        (default language)
    ];

    /**
     * Locale-specific argument separator for function arguments.
     *
     * @var string
     */
    private static $localeArgumentSeparator = ',';

    private static $localeFunctions = [];

    /**
     * Locale-specific translations for Excel constants (True, False and Null).
     *

<      * @var string[]



>      * @var array<string, string>


     */
    public static $localeBoolean = [
        'TRUE' => 'TRUE',
        'FALSE' => 'FALSE',
        'NULL' => 'NULL',
    ];

    /**
     * Excel constant string translations to their PHP equivalents
     * Constant conversion from text name/value to actual (datatyped) value.
     *

<      * @var string[]



>      * @var array<string, mixed>


     */

<     private static $excelConstants = [



>     public static $excelConstants = [


        'TRUE' => true,
        'FALSE' => false,
        'NULL' => null,
    ];

    // PhpSpreadsheet functions
    private static $phpSpreadsheetFunctions = [
        'ABS' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'abs',



>             'functionCall' => [MathTrig\Absolute::class, 'evaluate'],


            'argumentCount' => '1',
        ],
        'ACCRINT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'ACCRINT'],
<             'argumentCount' => '4-7',



>             'functionCall' => [Financial\Securities\AccruedInterest::class, 'periodic'],
>             'argumentCount' => '4-8',


        ],
        'ACCRINTM' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'ACCRINTM'],



>             'functionCall' => [Financial\Securities\AccruedInterest::class, 'atMaturity'],


            'argumentCount' => '3-5',
        ],
        'ACOS' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'acos',



>             'functionCall' => [MathTrig\Trig\Cosine::class, 'acos'],


            'argumentCount' => '1',
        ],
        'ACOSH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'acosh',



>             'functionCall' => [MathTrig\Trig\Cosine::class, 'acosh'],


            'argumentCount' => '1',
        ],
        'ACOT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'ACOT'],



>             'functionCall' => [MathTrig\Trig\Cotangent::class, 'acot'],


            'argumentCount' => '1',
        ],
        'ACOTH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'ACOTH'],



>             'functionCall' => [MathTrig\Trig\Cotangent::class, 'acoth'],


            'argumentCount' => '1',
        ],
        'ADDRESS' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'cellAddress'],



>             'functionCall' => [LookupRef\Address::class, 'cell'],


            'argumentCount' => '2-5',
        ],

>         'AGGREGATE' => [
        'AMORDEGRC' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_FINANCIAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Financial::class, 'AMORDEGRC'],
>             'argumentCount' => '3+',
            'argumentCount' => '6,7',
>         ],



<             'functionCall' => [Financial::class, 'AMORDEGRC'],



>             'functionCall' => [Financial\Amortization::class, 'AMORDEGRC'],


        'AMORLINC' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'AMORLINC'],



>             'functionCall' => [Financial\Amortization::class, 'AMORLINC'],


            'argumentCount' => '6,7',
        ],
        'AND' => [
            'category' => Category::CATEGORY_LOGICAL,

<             'functionCall' => [Logical::class, 'logicalAnd'],



>             'functionCall' => [Logical\Operations::class, 'logicalAnd'],


            'argumentCount' => '1+',
        ],

>         'ARABIC' => [
        'AREAS' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
>             'functionCall' => [MathTrig\Arabic::class, 'evaluate'],
            'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '1',
            'argumentCount' => '1',
>         ],


        ],

>         'ARRAYTOTEXT' => [
        'ASC' => [
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'functionCall' => [TextData\Text::class, 'fromArray'],
            'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '1,2',
            'argumentCount' => '1',
>         ],


        ],
        'ASIN' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'asin',



>             'functionCall' => [MathTrig\Trig\Sine::class, 'asin'],


            'argumentCount' => '1',
        ],
        'ASINH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'asinh',



>             'functionCall' => [MathTrig\Trig\Sine::class, 'asinh'],


            'argumentCount' => '1',
        ],
        'ATAN' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'atan',



>             'functionCall' => [MathTrig\Trig\Tangent::class, 'atan'],


            'argumentCount' => '1',
        ],
        'ATAN2' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'ATAN2'],



>             'functionCall' => [MathTrig\Trig\Tangent::class, 'atan2'],


            'argumentCount' => '2',
        ],
        'ATANH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'atanh',



>             'functionCall' => [MathTrig\Trig\Tangent::class, 'atanh'],


            'argumentCount' => '1',
        ],
        'AVEDEV' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'AVEDEV'],



>             'functionCall' => [Statistical\Averages::class, 'averageDeviations'],


            'argumentCount' => '1+',
        ],
        'AVERAGE' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'AVERAGE'],



>             'functionCall' => [Statistical\Averages::class, 'average'],


            'argumentCount' => '1+',
        ],
        'AVERAGEA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'AVERAGEA'],



>             'functionCall' => [Statistical\Averages::class, 'averageA'],


            'argumentCount' => '1+',
        ],
        'AVERAGEIF' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'AVERAGEIF'],



>             'functionCall' => [Statistical\Conditional::class, 'AVERAGEIF'],


            'argumentCount' => '2,3',
        ],
        'AVERAGEIFS' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Functions::class, 'DUMMY'],



>             'functionCall' => [Statistical\Conditional::class, 'AVERAGEIFS'],


            'argumentCount' => '3+',
        ],
        'BAHTTEXT' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1',
        ],

>         'BASE' => [
        'BESSELI' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_ENGINEERING,
>             'functionCall' => [MathTrig\Base::class, 'evaluate'],
            'functionCall' => [Engineering::class, 'BESSELI'],
>             'argumentCount' => '2,3',
            'argumentCount' => '2',
>         ],



<             'functionCall' => [Engineering::class, 'BESSELI'],



>             'functionCall' => [Engineering\BesselI::class, 'BESSELI'],


        'BESSELJ' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'BESSELJ'],



>             'functionCall' => [Engineering\BesselJ::class, 'BESSELJ'],


            'argumentCount' => '2',
        ],
        'BESSELK' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'BESSELK'],



>             'functionCall' => [Engineering\BesselK::class, 'BESSELK'],


            'argumentCount' => '2',
        ],
        'BESSELY' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'BESSELY'],



>             'functionCall' => [Engineering\BesselY::class, 'BESSELY'],


            'argumentCount' => '2',
        ],
        'BETADIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'BETADIST'],



>             'functionCall' => [Statistical\Distributions\Beta::class, 'distribution'],


            'argumentCount' => '3-5',
        ],

>         'BETA.DIST' => [
        'BETAINV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Statistical::class, 'BETAINV'],
>             'argumentCount' => '4-6',
            'argumentCount' => '3-5',
>         ],



<             'functionCall' => [Statistical::class, 'BETAINV'],



>             'functionCall' => [Statistical\Distributions\Beta::class, 'inverse'],
>             'argumentCount' => '3-5',
>         ],
>         'BETA.INV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Beta::class, 'inverse'],


        'BIN2DEC' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'BINTODEC'],



>             'functionCall' => [Engineering\ConvertBinary::class, 'toDecimal'],


            'argumentCount' => '1',
        ],
        'BIN2HEX' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'BINTOHEX'],



>             'functionCall' => [Engineering\ConvertBinary::class, 'toHex'],


            'argumentCount' => '1,2',
        ],
        'BIN2OCT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'BINTOOCT'],



>             'functionCall' => [Engineering\ConvertBinary::class, 'toOctal'],


            'argumentCount' => '1,2',
        ],
        'BINOMDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'BINOMDIST'],



>             'functionCall' => [Statistical\Distributions\Binomial::class, 'distribution'],


            'argumentCount' => '4',
        ],

>         'BINOM.DIST' => [
        'BITAND' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_ENGINEERING,
>             'functionCall' => [Statistical\Distributions\Binomial::class, 'distribution'],
            'functionCall' => [Engineering::class, 'BITAND'],
>             'argumentCount' => '4',
            'argumentCount' => '2',
>         ],
        ],
>         'BINOM.DIST.RANGE' => [
        'BITOR' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_ENGINEERING,
>             'functionCall' => [Statistical\Distributions\Binomial::class, 'range'],
            'functionCall' => [Engineering::class, 'BITOR'],
>             'argumentCount' => '3,4',
            'argumentCount' => '2',
>         ],
        ],
>         'BINOM.INV' => [
        'BITXOR' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_ENGINEERING,
>             'functionCall' => [Statistical\Distributions\Binomial::class, 'inverse'],
            'functionCall' => [Engineering::class, 'BITOR'],
>             'argumentCount' => '3',
            'argumentCount' => '2',
>         ],



<             'functionCall' => [Engineering::class, 'BITAND'],



>             'functionCall' => [Engineering\BitWise::class, 'BITAND'],



<             'functionCall' => [Engineering::class, 'BITOR'],



>             'functionCall' => [Engineering\BitWise::class, 'BITOR'],



<             'functionCall' => [Engineering::class, 'BITOR'],



>             'functionCall' => [Engineering\BitWise::class, 'BITXOR'],



<             'functionCall' => [Engineering::class, 'BITLSHIFT'],



>             'functionCall' => [Engineering\BitWise::class, 'BITLSHIFT'],


            'argumentCount' => '2',
        ],
        'BITRSHIFT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'BITRSHIFT'],



>             'functionCall' => [Engineering\BitWise::class, 'BITRSHIFT'],


            'argumentCount' => '2',
        ],
        'CEILING' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'CEILING'],
<             'argumentCount' => '2',



>             'functionCall' => [MathTrig\Ceiling::class, 'ceiling'],
>             'argumentCount' => '1-2', // 2 for Excel, 1-2 for Ods/Gnumeric
>         ],
>         'CEILING.MATH' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [MathTrig\Ceiling::class, 'math'],
>             'argumentCount' => '1-3',
>         ],
>         'CEILING.PRECISE' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [MathTrig\Ceiling::class, 'precise'],
>             'argumentCount' => '1,2',


        ],
        'CELL' => [
            'category' => Category::CATEGORY_INFORMATION,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1,2',
        ],
        'CHAR' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'CHARACTER'],



>             'functionCall' => [TextData\CharacterConvert::class, 'character'],


            'argumentCount' => '1',
        ],
        'CHIDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'CHIDIST'],



>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'distributionRightTail'],
>             'argumentCount' => '2',
>         ],
>         'CHISQ.DIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'distributionLeftTail'],
>             'argumentCount' => '3',
>         ],
>         'CHISQ.DIST.RT' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'distributionRightTail'],


            'argumentCount' => '2',
        ],
        'CHIINV' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'CHIINV'],



>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'inverseRightTail'],
>             'argumentCount' => '2',
>         ],
>         'CHISQ.INV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'inverseLeftTail'],
>             'argumentCount' => '2',
>         ],
>         'CHISQ.INV.RT' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'inverseRightTail'],


            'argumentCount' => '2',
        ],
        'CHITEST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Functions::class, 'DUMMY'],



>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'test'],
>             'argumentCount' => '2',
>         ],
>         'CHISQ.TEST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\ChiSquared::class, 'test'],


            'argumentCount' => '2',
        ],
        'CHOOSE' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'CHOOSE'],



>             'functionCall' => [LookupRef\Selection::class, 'CHOOSE'],
>             'argumentCount' => '2+',
>         ],
>         'CHOOSECOLS' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2+',
>         ],
>         'CHOOSEROWS' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],


            'argumentCount' => '2+',
        ],
        'CLEAN' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'TRIMNONPRINTABLE'],



>             'functionCall' => [TextData\Trim::class, 'nonPrintable'],


            'argumentCount' => '1',
        ],
        'CODE' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'ASCIICODE'],



>             'functionCall' => [TextData\CharacterConvert::class, 'code'],


            'argumentCount' => '1',
        ],
        'COLUMN' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'COLUMN'],



>             'functionCall' => [LookupRef\RowColumnInformation::class, 'COLUMN'],


            'argumentCount' => '-1',

>             'passCellReference' => true,


            'passByReference' => [true],
        ],
        'COLUMNS' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'COLUMNS'],



>             'functionCall' => [LookupRef\RowColumnInformation::class, 'COLUMNS'],


            'argumentCount' => '1',
        ],
        'COMBIN' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'COMBIN'],



>             'functionCall' => [MathTrig\Combinations::class, 'withoutRepetition'],
>             'argumentCount' => '2',
>         ],
>         'COMBINA' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [MathTrig\Combinations::class, 'withRepetition'],


            'argumentCount' => '2',
        ],
        'COMPLEX' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'COMPLEX'],



>             'functionCall' => [Engineering\Complex::class, 'COMPLEX'],


            'argumentCount' => '2,3',
        ],
        'CONCAT' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'CONCATENATE'],



>             'functionCall' => [TextData\Concatenate::class, 'CONCATENATE'],


            'argumentCount' => '1+',
        ],
        'CONCATENATE' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'CONCATENATE'],



>             'functionCall' => [TextData\Concatenate::class, 'CONCATENATE'],


            'argumentCount' => '1+',
        ],
        'CONFIDENCE' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'CONFIDENCE'],



>             'functionCall' => [Statistical\Confidence::class, 'CONFIDENCE'],
>             'argumentCount' => '3',
>         ],
>         'CONFIDENCE.NORM' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Confidence::class, 'CONFIDENCE'],
>             'argumentCount' => '3',
>         ],
>         'CONFIDENCE.T' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],


            'argumentCount' => '3',
        ],
        'CONVERT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'CONVERTUOM'],



>             'functionCall' => [Engineering\ConvertUOM::class, 'CONVERT'],


            'argumentCount' => '3',
        ],
        'CORREL' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'CORREL'],



>             'functionCall' => [Statistical\Trends::class, 'CORREL'],


            'argumentCount' => '2',
        ],
        'COS' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'cos',



>             'functionCall' => [MathTrig\Trig\Cosine::class, 'cos'],


            'argumentCount' => '1',
        ],
        'COSH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'cosh',



>             'functionCall' => [MathTrig\Trig\Cosine::class, 'cosh'],


            'argumentCount' => '1',
        ],
        'COT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'COT'],



>             'functionCall' => [MathTrig\Trig\Cotangent::class, 'cot'],


            'argumentCount' => '1',
        ],
        'COTH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'COTH'],



>             'functionCall' => [MathTrig\Trig\Cotangent::class, 'coth'],


            'argumentCount' => '1',
        ],
        'COUNT' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'COUNT'],



>             'functionCall' => [Statistical\Counts::class, 'COUNT'],


            'argumentCount' => '1+',
        ],
        'COUNTA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'COUNTA'],



>             'functionCall' => [Statistical\Counts::class, 'COUNTA'],


            'argumentCount' => '1+',
        ],
        'COUNTBLANK' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'COUNTBLANK'],



>             'functionCall' => [Statistical\Counts::class, 'COUNTBLANK'],


            'argumentCount' => '1',
        ],
        'COUNTIF' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'COUNTIF'],



>             'functionCall' => [Statistical\Conditional::class, 'COUNTIF'],


            'argumentCount' => '2',
        ],
        'COUNTIFS' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'COUNTIFS'],



>             'functionCall' => [Statistical\Conditional::class, 'COUNTIFS'],


            'argumentCount' => '2+',
        ],
        'COUPDAYBS' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'COUPDAYBS'],



>             'functionCall' => [Financial\Coupons::class, 'COUPDAYBS'],


            'argumentCount' => '3,4',
        ],
        'COUPDAYS' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'COUPDAYS'],



>             'functionCall' => [Financial\Coupons::class, 'COUPDAYS'],


            'argumentCount' => '3,4',
        ],
        'COUPDAYSNC' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'COUPDAYSNC'],



>             'functionCall' => [Financial\Coupons::class, 'COUPDAYSNC'],


            'argumentCount' => '3,4',
        ],
        'COUPNCD' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'COUPNCD'],



>             'functionCall' => [Financial\Coupons::class, 'COUPNCD'],


            'argumentCount' => '3,4',
        ],
        'COUPNUM' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'COUPNUM'],



>             'functionCall' => [Financial\Coupons::class, 'COUPNUM'],


            'argumentCount' => '3,4',
        ],
        'COUPPCD' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'COUPPCD'],



>             'functionCall' => [Financial\Coupons::class, 'COUPPCD'],


            'argumentCount' => '3,4',
        ],
        'COVAR' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'COVAR'],



>             'functionCall' => [Statistical\Trends::class, 'COVAR'],
>             'argumentCount' => '2',
>         ],
>         'COVARIANCE.P' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Trends::class, 'COVAR'],
>             'argumentCount' => '2',
>         ],
>         'COVARIANCE.S' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],


            'argumentCount' => '2',
        ],
        'CRITBINOM' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'CRITBINOM'],



>             'functionCall' => [Statistical\Distributions\Binomial::class, 'inverse'],


            'argumentCount' => '3',
        ],
        'CSC' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'CSC'],



>             'functionCall' => [MathTrig\Trig\Cosecant::class, 'csc'],


            'argumentCount' => '1',
        ],
        'CSCH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'CSCH'],



>             'functionCall' => [MathTrig\Trig\Cosecant::class, 'csch'],


            'argumentCount' => '1',
        ],
        'CUBEKPIMEMBER' => [
            'category' => Category::CATEGORY_CUBE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '?',
        ],
        'CUBEMEMBER' => [
            'category' => Category::CATEGORY_CUBE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '?',
        ],
        'CUBEMEMBERPROPERTY' => [
            'category' => Category::CATEGORY_CUBE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '?',
        ],
        'CUBERANKEDMEMBER' => [
            'category' => Category::CATEGORY_CUBE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '?',
        ],
        'CUBESET' => [
            'category' => Category::CATEGORY_CUBE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '?',
        ],
        'CUBESETCOUNT' => [
            'category' => Category::CATEGORY_CUBE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '?',
        ],
        'CUBEVALUE' => [
            'category' => Category::CATEGORY_CUBE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '?',
        ],
        'CUMIPMT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'CUMIPMT'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic\Cumulative::class, 'interest'],


            'argumentCount' => '6',
        ],
        'CUMPRINC' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'CUMPRINC'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic\Cumulative::class, 'principal'],


            'argumentCount' => '6',
        ],
        'DATE' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'DATE'],



>             'functionCall' => [DateTimeExcel\Date::class, 'fromYMD'],


            'argumentCount' => '3',
        ],
        'DATEDIF' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'DATEDIF'],



>             'functionCall' => [DateTimeExcel\Difference::class, 'interval'],


            'argumentCount' => '2,3',
        ],

>         'DATESTRING' => [
        'DATEVALUE' => [
>             'category' => Category::CATEGORY_DATE_AND_TIME,
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [DateTime::class, 'DATEVALUE'],
>             'argumentCount' => '?',
            'argumentCount' => '1',
>         ],



<             'functionCall' => [DateTime::class, 'DATEVALUE'],



>             'functionCall' => [DateTimeExcel\DateValue::class, 'fromString'],


        'DAVERAGE' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DAVERAGE'],



>             'functionCall' => [Database\DAverage::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DAY' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'DAYOFMONTH'],



>             'functionCall' => [DateTimeExcel\DateParts::class, 'day'],


            'argumentCount' => '1',
        ],
        'DAYS' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'DAYS'],



>             'functionCall' => [DateTimeExcel\Days::class, 'between'],


            'argumentCount' => '2',
        ],
        'DAYS360' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'DAYS360'],



>             'functionCall' => [DateTimeExcel\Days360::class, 'between'],


            'argumentCount' => '2,3',
        ],
        'DB' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'DB'],



>             'functionCall' => [Financial\Depreciation::class, 'DB'],


            'argumentCount' => '4,5',
        ],

>         'DBCS' => [
        'DCOUNT' => [
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'category' => Category::CATEGORY_DATABASE,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Database::class, 'DCOUNT'],
>             'argumentCount' => '1',
            'argumentCount' => '3',
>         ],



<             'functionCall' => [Database::class, 'DCOUNT'],



>             'functionCall' => [Database\DCount::class, 'evaluate'],


        'DCOUNTA' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DCOUNTA'],



>             'functionCall' => [Database\DCountA::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DDB' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'DDB'],



>             'functionCall' => [Financial\Depreciation::class, 'DDB'],


            'argumentCount' => '4,5',
        ],
        'DEC2BIN' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'DECTOBIN'],



>             'functionCall' => [Engineering\ConvertDecimal::class, 'toBinary'],


            'argumentCount' => '1,2',
        ],
        'DEC2HEX' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'DECTOHEX'],



>             'functionCall' => [Engineering\ConvertDecimal::class, 'toHex'],


            'argumentCount' => '1,2',
        ],
        'DEC2OCT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'DECTOOCT'],



>             'functionCall' => [Engineering\ConvertDecimal::class, 'toOctal'],


            'argumentCount' => '1,2',
        ],

>         'DECIMAL' => [
        'DEGREES' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => 'rad2deg',
>             'argumentCount' => '2',
            'argumentCount' => '1',
>         ],



<             'functionCall' => 'rad2deg',



>             'functionCall' => [MathTrig\Angle::class, 'toDegrees'],


        'DELTA' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'DELTA'],



>             'functionCall' => [Engineering\Compare::class, 'DELTA'],


            'argumentCount' => '1,2',
        ],
        'DEVSQ' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'DEVSQ'],



>             'functionCall' => [Statistical\Deviations::class, 'sumSquares'],


            'argumentCount' => '1+',
        ],
        'DGET' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DGET'],



>             'functionCall' => [Database\DGet::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DISC' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'DISC'],



>             'functionCall' => [Financial\Securities\Rates::class, 'discount'],


            'argumentCount' => '4,5',
        ],
        'DMAX' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DMAX'],



>             'functionCall' => [Database\DMax::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DMIN' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DMIN'],



>             'functionCall' => [Database\DMin::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DOLLAR' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'DOLLAR'],



>             'functionCall' => [TextData\Format::class, 'DOLLAR'],


            'argumentCount' => '1,2',
        ],
        'DOLLARDE' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'DOLLARDE'],



>             'functionCall' => [Financial\Dollar::class, 'decimal'],


            'argumentCount' => '2',
        ],
        'DOLLARFR' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'DOLLARFR'],



>             'functionCall' => [Financial\Dollar::class, 'fractional'],


            'argumentCount' => '2',
        ],
        'DPRODUCT' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DPRODUCT'],



>             'functionCall' => [Database\DProduct::class, 'evaluate'],


            'argumentCount' => '3',
        ],

>         'DROP' => [
        'DSTDEV' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_DATABASE,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Database::class, 'DSTDEV'],
>             'argumentCount' => '2-3',
            'argumentCount' => '3',
>         ],



<             'functionCall' => [Database::class, 'DSTDEV'],



>             'functionCall' => [Database\DStDev::class, 'evaluate'],


        'DSTDEVP' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DSTDEVP'],



>             'functionCall' => [Database\DStDevP::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DSUM' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DSUM'],



>             'functionCall' => [Database\DSum::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DURATION' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '5,6',
        ],
        'DVAR' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DVAR'],



>             'functionCall' => [Database\DVar::class, 'evaluate'],


            'argumentCount' => '3',
        ],
        'DVARP' => [
            'category' => Category::CATEGORY_DATABASE,

<             'functionCall' => [Database::class, 'DVARP'],



>             'functionCall' => [Database\DVarP::class, 'evaluate'],


            'argumentCount' => '3',
        ],

>         'ECMA.CEILING' => [
        'EDATE' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [DateTime::class, 'EDATE'],
>             'argumentCount' => '1,2',
            'argumentCount' => '2',
>         ],



<             'functionCall' => [DateTime::class, 'EDATE'],



>             'functionCall' => [DateTimeExcel\Month::class, 'adjust'],


        'EFFECT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'EFFECT'],



>             'functionCall' => [Financial\InterestRate::class, 'effective'],


            'argumentCount' => '2',
        ],

>         'ENCODEURL' => [
        'EOMONTH' => [
>             'category' => Category::CATEGORY_WEB,
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Web\Service::class, 'urlEncode'],
            'functionCall' => [DateTime::class, 'EOMONTH'],
>             'argumentCount' => '1',
            'argumentCount' => '2',
>         ],



<             'functionCall' => [DateTime::class, 'EOMONTH'],



>             'functionCall' => [DateTimeExcel\Month::class, 'lastDay'],


        'ERF' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'ERF'],



>             'functionCall' => [Engineering\Erf::class, 'ERF'],


            'argumentCount' => '1,2',
        ],
        'ERF.PRECISE' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'ERFPRECISE'],



>             'functionCall' => [Engineering\Erf::class, 'ERFPRECISE'],


            'argumentCount' => '1',
        ],
        'ERFC' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'ERFC'],



>             'functionCall' => [Engineering\ErfC::class, 'ERFC'],


            'argumentCount' => '1',
        ],
        'ERFC.PRECISE' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'ERFC'],



>             'functionCall' => [Engineering\ErfC::class, 'ERFC'],


            'argumentCount' => '1',
        ],
        'ERROR.TYPE' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'errorType'],



>             'functionCall' => [Information\ExcelError::class, 'type'],


            'argumentCount' => '1',
        ],
        'EVEN' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'EVEN'],



>             'functionCall' => [MathTrig\Round::class, 'even'],


            'argumentCount' => '1',
        ],
        'EXACT' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'EXACT'],



>             'functionCall' => [TextData\Text::class, 'exact'],


            'argumentCount' => '2',
        ],
        'EXP' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'exp',



>             'functionCall' => [MathTrig\Exp::class, 'evaluate'],


            'argumentCount' => '1',
        ],

>         'EXPAND' => [
        'EXPONDIST' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Statistical::class, 'EXPONDIST'],
>             'argumentCount' => '2-4',
            'argumentCount' => '3',
>         ],



<             'functionCall' => [Statistical::class, 'EXPONDIST'],



>             'functionCall' => [Statistical\Distributions\Exponential::class, 'distribution'],
>             'argumentCount' => '3',
>         ],
>         'EXPON.DIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Exponential::class, 'distribution'],


        'FACT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'FACT'],



>             'functionCall' => [MathTrig\Factorial::class, 'fact'],


            'argumentCount' => '1',
        ],
        'FACTDOUBLE' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'FACTDOUBLE'],



>             'functionCall' => [MathTrig\Factorial::class, 'factDouble'],


            'argumentCount' => '1',
        ],
        'FALSE' => [
            'category' => Category::CATEGORY_LOGICAL,

<             'functionCall' => [Logical::class, 'FALSE'],



>             'functionCall' => [Logical\Boolean::class, 'FALSE'],


            'argumentCount' => '0',
        ],
        'FDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '3',
        ],

>         'F.DIST' => [
        'FIND' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'functionCall' => [Statistical\Distributions\F::class, 'distribution'],
            'functionCall' => [TextData::class, 'SEARCHSENSITIVE'],
>             'argumentCount' => '4',
            'argumentCount' => '2,3',
>         ],
        ],
>         'F.DIST.RT' => [
        'FINDB' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [TextData::class, 'SEARCHSENSITIVE'],
>             'argumentCount' => '3',
            'argumentCount' => '2,3',
>         ],
        ],
>         'FILTER' => [
        'FINV' => [
>             'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [LookupRef\Filter::class, 'filter'],
            'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2-3',
            'argumentCount' => '3',
>         ],
        ],
>         'FILTERXML' => [
        'FISHER' => [
>             'category' => Category::CATEGORY_WEB,
            'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Statistical::class, 'FISHER'],
>             'argumentCount' => '2',
            'argumentCount' => '1',
>         ],



<             'functionCall' => [TextData::class, 'SEARCHSENSITIVE'],



>             'functionCall' => [TextData\Search::class, 'sensitive'],



<             'functionCall' => [TextData::class, 'SEARCHSENSITIVE'],



>             'functionCall' => [TextData\Search::class, 'sensitive'],


            'category' => Category::CATEGORY_STATISTICAL,

>         'F.INV' => [
            'functionCall' => [Statistical::class, 'FISHERINV'],
>             'category' => Category::CATEGORY_STATISTICAL,
            'argumentCount' => '1',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '3',
        'FIXED' => [
>         ],
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>         'F.INV.RT' => [
            'functionCall' => [TextData::class, 'FIXEDFORMAT'],
>             'category' => Category::CATEGORY_STATISTICAL,
            'argumentCount' => '1-3',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '3',
        'FLOOR' => [
>         ],



<             'functionCall' => [Statistical::class, 'FISHER'],



>             'functionCall' => [Statistical\Distributions\Fisher::class, 'distribution'],



<             'functionCall' => [Statistical::class, 'FISHERINV'],



>             'functionCall' => [Statistical\Distributions\Fisher::class, 'inverse'],



<             'functionCall' => [TextData::class, 'FIXEDFORMAT'],



>             'functionCall' => [TextData\Format::class, 'FIXEDFORMAT'],



<             'functionCall' => [MathTrig::class, 'FLOOR'],
<             'argumentCount' => '2',



>             'functionCall' => [MathTrig\Floor::class, 'floor'],
>             'argumentCount' => '1-2', // Excel requries 2, Ods/Gnumeric 1-2
>         ],
>         'FLOOR.MATH' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [MathTrig\Floor::class, 'math'],
>             'argumentCount' => '1-3',
>         ],
>         'FLOOR.PRECISE' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [MathTrig\Floor::class, 'precise'],
>             'argumentCount' => '1-2',


            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'FORECAST'],



>             'functionCall' => [Statistical\Trends::class, 'FORECAST'],
>             'argumentCount' => '3',
>         ],
>         'FORECAST.ETS' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '3-6',
>         ],
>         'FORECAST.ETS.CONFINT' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '3-6',
>         ],
>         'FORECAST.ETS.SEASONALITY' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2-4',
>         ],
>         'FORECAST.ETS.STAT' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '3-6',
>         ],
>         'FORECAST.LINEAR' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Trends::class, 'FORECAST'],


            'argumentCount' => '3',
        ],
        'FORMULATEXT' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'FORMULATEXT'],



>             'functionCall' => [LookupRef\Formula::class, 'text'],


            'argumentCount' => '1',
            'passCellReference' => true,
            'passByReference' => [true],
        ],
        'FREQUENCY' => [
            'category' => Category::CATEGORY_STATISTICAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '2',
        ],
        'FTEST' => [
            'category' => Category::CATEGORY_STATISTICAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '2',
        ],

>         'F.TEST' => [
        'FV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_FINANCIAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Financial::class, 'FV'],
>             'argumentCount' => '2',
            'argumentCount' => '3-5',
>         ],



<             'functionCall' => [Financial::class, 'FV'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic::class, 'futureValue'],


        'FVSCHEDULE' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'FVSCHEDULE'],



>             'functionCall' => [Financial\CashFlow\Single::class, 'futureValue'],


            'argumentCount' => '2',
        ],

>         'GAMMA' => [
        'GAMMADIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Gamma::class, 'gamma'],
            'functionCall' => [Statistical::class, 'GAMMADIST'],
>             'argumentCount' => '1',
            'argumentCount' => '4',
>         ],



<             'functionCall' => [Statistical::class, 'GAMMADIST'],



>             'functionCall' => [Statistical\Distributions\Gamma::class, 'distribution'],
>             'argumentCount' => '4',
>         ],
>         'GAMMA.DIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Gamma::class, 'distribution'],


        'GAMMAINV' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'GAMMAINV'],



>             'functionCall' => [Statistical\Distributions\Gamma::class, 'inverse'],
>             'argumentCount' => '3',
>         ],
>         'GAMMA.INV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Gamma::class, 'inverse'],


            'argumentCount' => '3',
        ],
        'GAMMALN' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'GAMMALN'],



>             'functionCall' => [Statistical\Distributions\Gamma::class, 'ln'],
>             'argumentCount' => '1',
>         ],
>         'GAMMALN.PRECISE' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Gamma::class, 'ln'],
>             'argumentCount' => '1',
>         ],
>         'GAUSS' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\StandardNormal::class, 'gauss'],


            'argumentCount' => '1',
        ],
        'GCD' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'GCD'],



>             'functionCall' => [MathTrig\Gcd::class, 'evaluate'],


            'argumentCount' => '1+',
        ],
        'GEOMEAN' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'GEOMEAN'],



>             'functionCall' => [Statistical\Averages\Mean::class, 'geometric'],


            'argumentCount' => '1+',
        ],
        'GESTEP' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'GESTEP'],



>             'functionCall' => [Engineering\Compare::class, 'GESTEP'],


            'argumentCount' => '1,2',
        ],
        'GETPIVOTDATA' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '2+',
        ],
        'GROWTH' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'GROWTH'],



>             'functionCall' => [Statistical\Trends::class, 'GROWTH'],


            'argumentCount' => '1-4',
        ],
        'HARMEAN' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'HARMEAN'],



>             'functionCall' => [Statistical\Averages\Mean::class, 'harmonic'],


            'argumentCount' => '1+',
        ],
        'HEX2BIN' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'HEXTOBIN'],



>             'functionCall' => [Engineering\ConvertHex::class, 'toBinary'],


            'argumentCount' => '1,2',
        ],
        'HEX2DEC' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'HEXTODEC'],



>             'functionCall' => [Engineering\ConvertHex::class, 'toDecimal'],


            'argumentCount' => '1',
        ],
        'HEX2OCT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'HEXTOOCT'],



>             'functionCall' => [Engineering\ConvertHex::class, 'toOctal'],


            'argumentCount' => '1,2',
        ],
        'HLOOKUP' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'HLOOKUP'],



>             'functionCall' => [LookupRef\HLookup::class, 'lookup'],


            'argumentCount' => '3,4',
        ],
        'HOUR' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'HOUROFDAY'],



>             'functionCall' => [DateTimeExcel\TimeParts::class, 'hour'],


            'argumentCount' => '1',
        ],

>         'HSTACK' => [
        'HYPERLINK' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [LookupRef::class, 'HYPERLINK'],
>             'argumentCount' => '1+',
            'argumentCount' => '1,2',
>         ],



<             'functionCall' => [LookupRef::class, 'HYPERLINK'],



>             'functionCall' => [LookupRef\Hyperlink::class, 'set'],


        ],
        'HYPGEOMDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'HYPGEOMDIST'],



>             'functionCall' => [Statistical\Distributions\HyperGeometric::class, 'distribution'],


            'argumentCount' => '4',
        ],

>         'HYPGEOM.DIST' => [
        'IF' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_LOGICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Logical::class, 'statementIf'],
>             'argumentCount' => '5',
            'argumentCount' => '1-3',
>         ],



<             'functionCall' => [Logical::class, 'statementIf'],



>             'functionCall' => [Logical\Conditional::class, 'statementIf'],


        'IFERROR' => [
            'category' => Category::CATEGORY_LOGICAL,

<             'functionCall' => [Logical::class, 'IFERROR'],



>             'functionCall' => [Logical\Conditional::class, 'IFERROR'],


            'argumentCount' => '2',
        ],
        'IFNA' => [
            'category' => Category::CATEGORY_LOGICAL,

<             'functionCall' => [Logical::class, 'IFNA'],



>             'functionCall' => [Logical\Conditional::class, 'IFNA'],


            'argumentCount' => '2',
        ],

>         'IFS' => [
        'IMABS' => [
>             'category' => Category::CATEGORY_LOGICAL,
            'category' => Category::CATEGORY_ENGINEERING,
>             'functionCall' => [Logical\Conditional::class, 'IFS'],
            'functionCall' => [Engineering::class, 'IMABS'],
>             'argumentCount' => '2+',
            'argumentCount' => '1',
>         ],



<             'functionCall' => [Engineering::class, 'IMABS'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMABS'],


        'IMAGINARY' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMAGINARY'],



>             'functionCall' => [Engineering\Complex::class, 'IMAGINARY'],


            'argumentCount' => '1',
        ],
        'IMARGUMENT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMARGUMENT'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMARGUMENT'],


            'argumentCount' => '1',
        ],
        'IMCONJUGATE' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMCONJUGATE'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMCONJUGATE'],


            'argumentCount' => '1',
        ],
        'IMCOS' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMCOS'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMCOS'],


            'argumentCount' => '1',
        ],
        'IMCOSH' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMCOSH'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMCOSH'],


            'argumentCount' => '1',
        ],
        'IMCOT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMCOT'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMCOT'],


            'argumentCount' => '1',
        ],
        'IMCSC' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMCSC'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMCSC'],


            'argumentCount' => '1',
        ],
        'IMCSCH' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMCSCH'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMCSCH'],


            'argumentCount' => '1',
        ],
        'IMDIV' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMDIV'],



>             'functionCall' => [Engineering\ComplexOperations::class, 'IMDIV'],


            'argumentCount' => '2',
        ],
        'IMEXP' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMEXP'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMEXP'],


            'argumentCount' => '1',
        ],
        'IMLN' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMLN'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMLN'],


            'argumentCount' => '1',
        ],
        'IMLOG10' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMLOG10'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMLOG10'],


            'argumentCount' => '1',
        ],
        'IMLOG2' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMLOG2'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMLOG2'],


            'argumentCount' => '1',
        ],
        'IMPOWER' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMPOWER'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMPOWER'],


            'argumentCount' => '2',
        ],
        'IMPRODUCT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMPRODUCT'],



>             'functionCall' => [Engineering\ComplexOperations::class, 'IMPRODUCT'],


            'argumentCount' => '1+',
        ],
        'IMREAL' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMREAL'],



>             'functionCall' => [Engineering\Complex::class, 'IMREAL'],


            'argumentCount' => '1',
        ],
        'IMSEC' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMSEC'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMSEC'],


            'argumentCount' => '1',
        ],
        'IMSECH' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMSECH'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMSECH'],


            'argumentCount' => '1',
        ],
        'IMSIN' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMSIN'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMSIN'],


            'argumentCount' => '1',
        ],
        'IMSINH' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMSINH'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMSINH'],


            'argumentCount' => '1',
        ],
        'IMSQRT' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMSQRT'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMSQRT'],


            'argumentCount' => '1',
        ],
        'IMSUB' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMSUB'],



>             'functionCall' => [Engineering\ComplexOperations::class, 'IMSUB'],


            'argumentCount' => '2',
        ],
        'IMSUM' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMSUM'],



>             'functionCall' => [Engineering\ComplexOperations::class, 'IMSUM'],


            'argumentCount' => '1+',
        ],
        'IMTAN' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'IMTAN'],



>             'functionCall' => [Engineering\ComplexFunctions::class, 'IMTAN'],


            'argumentCount' => '1',
        ],
        'INDEX' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'INDEX'],



>             'functionCall' => [LookupRef\Matrix::class, 'index'],


            'argumentCount' => '1-4',
        ],
        'INDIRECT' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'INDIRECT'],



>             'functionCall' => [LookupRef\Indirect::class, 'INDIRECT'],


            'argumentCount' => '1,2',
            'passCellReference' => true,
        ],
        'INFO' => [
            'category' => Category::CATEGORY_INFORMATION,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1',
        ],
        'INT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'INT'],



>             'functionCall' => [MathTrig\IntClass::class, 'evaluate'],


            'argumentCount' => '1',
        ],
        'INTERCEPT' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'INTERCEPT'],



>             'functionCall' => [Statistical\Trends::class, 'INTERCEPT'],


            'argumentCount' => '2',
        ],
        'INTRATE' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'INTRATE'],



>             'functionCall' => [Financial\Securities\Rates::class, 'interest'],


            'argumentCount' => '4,5',
        ],
        'IPMT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'IPMT'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic\Interest::class, 'payment'],


            'argumentCount' => '4-6',
        ],
        'IRR' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'IRR'],



>             'functionCall' => [Financial\CashFlow\Variable\Periodic::class, 'rate'],


            'argumentCount' => '1,2',
        ],
        'ISBLANK' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isBlank'],



>             'functionCall' => [Information\Value::class, 'isBlank'],


            'argumentCount' => '1',
        ],
        'ISERR' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isErr'],



>             'functionCall' => [Information\ErrorValue::class, 'isErr'],


            'argumentCount' => '1',
        ],
        'ISERROR' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isError'],



>             'functionCall' => [Information\ErrorValue::class, 'isError'],


            'argumentCount' => '1',
        ],
        'ISEVEN' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isEven'],



>             'functionCall' => [Information\Value::class, 'isEven'],


            'argumentCount' => '1',
        ],
        'ISFORMULA' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isFormula'],



>             'functionCall' => [Information\Value::class, 'isFormula'],


            'argumentCount' => '1',
            'passCellReference' => true,
            'passByReference' => [true],
        ],
        'ISLOGICAL' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isLogical'],



>             'functionCall' => [Information\Value::class, 'isLogical'],


            'argumentCount' => '1',
        ],
        'ISNA' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isNa'],



>             'functionCall' => [Information\ErrorValue::class, 'isNa'],


            'argumentCount' => '1',
        ],
        'ISNONTEXT' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isNonText'],



>             'functionCall' => [Information\Value::class, 'isNonText'],


            'argumentCount' => '1',
        ],
        'ISNUMBER' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isNumber'],



>             'functionCall' => [Information\Value::class, 'isNumber'],


            'argumentCount' => '1',
        ],

>         'ISO.CEILING' => [
        'ISODD' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_INFORMATION,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Functions::class, 'isOdd'],
>             'argumentCount' => '1,2',
            'argumentCount' => '1',
>         ],



<             'functionCall' => [Functions::class, 'isOdd'],



>             'functionCall' => [Information\Value::class, 'isOdd'],


        'ISOWEEKNUM' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'ISOWEEKNUM'],



>             'functionCall' => [DateTimeExcel\Week::class, 'isoWeekNumber'],


            'argumentCount' => '1',
        ],
        'ISPMT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'ISPMT'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic\Interest::class, 'schedulePayment'],


            'argumentCount' => '4',
        ],
        'ISREF' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'DUMMY'],



>             'functionCall' => [Information\Value::class, 'isRef'],


            'argumentCount' => '1',

>             'passCellReference' => true,
        ],
>             'passByReference' => [true],


        'ISTEXT' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'isText'],



>             'functionCall' => [Information\Value::class, 'isText'],


            'argumentCount' => '1',
        ],

>         'ISTHAIDIGIT' => [
        'JIS' => [
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '?',
            'argumentCount' => '1',
>         ],


        ],
        'KURT' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'KURT'],



>             'functionCall' => [Statistical\Deviations::class, 'kurtosis'],


            'argumentCount' => '1+',
        ],
        'LARGE' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'LARGE'],



>             'functionCall' => [Statistical\Size::class, 'large'],


            'argumentCount' => '2',
        ],
        'LCM' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'LCM'],



>             'functionCall' => [MathTrig\Lcm::class, 'evaluate'],


            'argumentCount' => '1+',
        ],
        'LEFT' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'LEFT'],



>             'functionCall' => [TextData\Extract::class, 'left'],


            'argumentCount' => '1,2',
        ],
        'LEFTB' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'LEFT'],



>             'functionCall' => [TextData\Extract::class, 'left'],


            'argumentCount' => '1,2',
        ],
        'LEN' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'STRINGLENGTH'],



>             'functionCall' => [TextData\Text::class, 'length'],


            'argumentCount' => '1',
        ],
        'LENB' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'STRINGLENGTH'],



>             'functionCall' => [TextData\Text::class, 'length'],


            'argumentCount' => '1',
        ],
        'LINEST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'LINEST'],



>             'functionCall' => [Statistical\Trends::class, 'LINEST'],


            'argumentCount' => '1-4',
        ],
        'LN' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'log',



>             'functionCall' => [MathTrig\Logarithms::class, 'natural'],


            'argumentCount' => '1',
        ],
        'LOG' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'logBase'],



>             'functionCall' => [MathTrig\Logarithms::class, 'withBase'],


            'argumentCount' => '1,2',
        ],
        'LOG10' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'log10',



>             'functionCall' => [MathTrig\Logarithms::class, 'base10'],


            'argumentCount' => '1',
        ],
        'LOGEST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'LOGEST'],



>             'functionCall' => [Statistical\Trends::class, 'LOGEST'],


            'argumentCount' => '1-4',
        ],
        'LOGINV' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'LOGINV'],



>             'functionCall' => [Statistical\Distributions\LogNormal::class, 'inverse'],


            'argumentCount' => '3',
        ],
        'LOGNORMDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'LOGNORMDIST'],



>             'functionCall' => [Statistical\Distributions\LogNormal::class, 'cumulative'],
>             'argumentCount' => '3',
>         ],
>         'LOGNORM.DIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\LogNormal::class, 'distribution'],
>             'argumentCount' => '4',
>         ],
>         'LOGNORM.INV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\LogNormal::class, 'inverse'],


            'argumentCount' => '3',
        ],
        'LOOKUP' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'LOOKUP'],



>             'functionCall' => [LookupRef\Lookup::class, 'lookup'],


            'argumentCount' => '2,3',
        ],
        'LOWER' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'LOWERCASE'],



>             'functionCall' => [TextData\CaseConvert::class, 'lower'],


            'argumentCount' => '1',
        ],
        'MATCH' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'MATCH'],



>             'functionCall' => [LookupRef\ExcelMatch::class, 'MATCH'],


            'argumentCount' => '2,3',
        ],
        'MAX' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MAX'],



>             'functionCall' => [Statistical\Maximum::class, 'max'],


            'argumentCount' => '1+',
        ],
        'MAXA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MAXA'],



>             'functionCall' => [Statistical\Maximum::class, 'maxA'],


            'argumentCount' => '1+',
        ],
        'MAXIFS' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MAXIFS'],



>             'functionCall' => [Statistical\Conditional::class, 'MAXIFS'],


            'argumentCount' => '3+',
        ],
        'MDETERM' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'MDETERM'],



>             'functionCall' => [MathTrig\MatrixFunctions::class, 'determinant'],


            'argumentCount' => '1',
        ],
        'MDURATION' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '5,6',
        ],
        'MEDIAN' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MEDIAN'],



>             'functionCall' => [Statistical\Averages::class, 'median'],


            'argumentCount' => '1+',
        ],
        'MEDIANIF' => [
            'category' => Category::CATEGORY_STATISTICAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '2+',
        ],
        'MID' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'MID'],



>             'functionCall' => [TextData\Extract::class, 'mid'],


            'argumentCount' => '3',
        ],
        'MIDB' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'MID'],



>             'functionCall' => [TextData\Extract::class, 'mid'],


            'argumentCount' => '3',
        ],
        'MIN' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MIN'],



>             'functionCall' => [Statistical\Minimum::class, 'min'],


            'argumentCount' => '1+',
        ],
        'MINA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MINA'],



>             'functionCall' => [Statistical\Minimum::class, 'minA'],


            'argumentCount' => '1+',
        ],
        'MINIFS' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MINIFS'],



>             'functionCall' => [Statistical\Conditional::class, 'MINIFS'],


            'argumentCount' => '3+',
        ],
        'MINUTE' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'MINUTE'],



>             'functionCall' => [DateTimeExcel\TimeParts::class, 'minute'],


            'argumentCount' => '1',
        ],
        'MINVERSE' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'MINVERSE'],



>             'functionCall' => [MathTrig\MatrixFunctions::class, 'inverse'],


            'argumentCount' => '1',
        ],
        'MIRR' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'MIRR'],



>             'functionCall' => [Financial\CashFlow\Variable\Periodic::class, 'modifiedRate'],


            'argumentCount' => '3',
        ],
        'MMULT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'MMULT'],



>             'functionCall' => [MathTrig\MatrixFunctions::class, 'multiply'],


            'argumentCount' => '2',
        ],
        'MOD' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'MOD'],



>             'functionCall' => [MathTrig\Operations::class, 'mod'],


            'argumentCount' => '2',
        ],
        'MODE' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MODE'],



>             'functionCall' => [Statistical\Averages::class, 'mode'],
>             'argumentCount' => '1+',
>         ],
>         'MODE.MULT' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],


            'argumentCount' => '1+',
        ],
        'MODE.SNGL' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'MODE'],



>             'functionCall' => [Statistical\Averages::class, 'mode'],


            'argumentCount' => '1+',
        ],
        'MONTH' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'MONTHOFYEAR'],



>             'functionCall' => [DateTimeExcel\DateParts::class, 'month'],


            'argumentCount' => '1',
        ],
        'MROUND' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'MROUND'],



>             'functionCall' => [MathTrig\Round::class, 'multiple'],


            'argumentCount' => '2',
        ],
        'MULTINOMIAL' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'MULTINOMIAL'],



>             'functionCall' => [MathTrig\Factorial::class, 'multinomial'],


            'argumentCount' => '1+',
        ],

>         'MUNIT' => [
        'N' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_INFORMATION,
>             'functionCall' => [MathTrig\MatrixFunctions::class, 'identity'],
            'functionCall' => [Functions::class, 'n'],
>             'argumentCount' => '1',
            'argumentCount' => '1',
>         ],



<             'functionCall' => [Functions::class, 'n'],



>             'functionCall' => [Information\Value::class, 'asNumber'],


        'NA' => [
            'category' => Category::CATEGORY_INFORMATION,

<             'functionCall' => [Functions::class, 'NA'],



>             'functionCall' => [Information\ExcelError::class, 'NA'],


            'argumentCount' => '0',
        ],
        'NEGBINOMDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'NEGBINOMDIST'],



>             'functionCall' => [Statistical\Distributions\Binomial::class, 'negative'],


            'argumentCount' => '3',
        ],

>         'NEGBINOM.DIST' => [
        'NETWORKDAYS' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [DateTime::class, 'NETWORKDAYS'],
>             'argumentCount' => '4',
            'argumentCount' => '2+',
>         ],



<             'functionCall' => [DateTime::class, 'NETWORKDAYS'],
<             'argumentCount' => '2+',



>             'functionCall' => [DateTimeExcel\NetworkDays::class, 'count'],
>             'argumentCount' => '2-3',
>         ],
>         'NETWORKDAYS.INTL' => [
>             'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2-4',


            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'NOMINAL'],



>             'functionCall' => [Financial\InterestRate::class, 'nominal'],


            'argumentCount' => '2',
        ],
        'NORMDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'NORMDIST'],



>             'functionCall' => [Statistical\Distributions\Normal::class, 'distribution'],
>             'argumentCount' => '4',
>         ],
>         'NORM.DIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Normal::class, 'distribution'],


            'argumentCount' => '4',
        ],
        'NORMINV' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'NORMINV'],



>             'functionCall' => [Statistical\Distributions\Normal::class, 'inverse'],
>             'argumentCount' => '3',
>         ],
>         'NORM.INV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Normal::class, 'inverse'],


            'argumentCount' => '3',
        ],
        'NORMSDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'NORMSDIST'],



>             'functionCall' => [Statistical\Distributions\StandardNormal::class, 'cumulative'],


            'argumentCount' => '1',
        ],

>         'NORM.S.DIST' => [
        'NORMSINV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\StandardNormal::class, 'distribution'],
            'functionCall' => [Statistical::class, 'NORMSINV'],
>             'argumentCount' => '1,2',
            'argumentCount' => '1',
>         ],



<             'functionCall' => [Statistical::class, 'NORMSINV'],



>             'functionCall' => [Statistical\Distributions\StandardNormal::class, 'inverse'],
>             'argumentCount' => '1',
>         ],
>         'NORM.S.INV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\StandardNormal::class, 'inverse'],


        'NOT' => [
            'category' => Category::CATEGORY_LOGICAL,

<             'functionCall' => [Logical::class, 'NOT'],



>             'functionCall' => [Logical\Operations::class, 'NOT'],


            'argumentCount' => '1',
        ],
        'NOW' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'DATETIMENOW'],



>             'functionCall' => [DateTimeExcel\Current::class, 'now'],


            'argumentCount' => '0',
        ],
        'NPER' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'NPER'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic::class, 'periods'],


            'argumentCount' => '3-5',
        ],
        'NPV' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'NPV'],



>             'functionCall' => [Financial\CashFlow\Variable\Periodic::class, 'presentValue'],


            'argumentCount' => '2+',
        ],

>         'NUMBERSTRING' => [
        'NUMBERVALUE' => [
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [TextData::class, 'NUMBERVALUE'],
>             'argumentCount' => '?',
            'argumentCount' => '1+',
>         ],



<             'functionCall' => [TextData::class, 'NUMBERVALUE'],



>             'functionCall' => [TextData\Format::class, 'NUMBERVALUE'],


        'OCT2BIN' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'OCTTOBIN'],



>             'functionCall' => [Engineering\ConvertOctal::class, 'toBinary'],


            'argumentCount' => '1,2',
        ],
        'OCT2DEC' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'OCTTODEC'],



>             'functionCall' => [Engineering\ConvertOctal::class, 'toDecimal'],


            'argumentCount' => '1',
        ],
        'OCT2HEX' => [
            'category' => Category::CATEGORY_ENGINEERING,

<             'functionCall' => [Engineering::class, 'OCTTOHEX'],



>             'functionCall' => [Engineering\ConvertOctal::class, 'toHex'],


            'argumentCount' => '1,2',
        ],
        'ODD' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'ODD'],



>             'functionCall' => [MathTrig\Round::class, 'odd'],


            'argumentCount' => '1',
        ],
        'ODDFPRICE' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '8,9',
        ],
        'ODDFYIELD' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '8,9',
        ],
        'ODDLPRICE' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '7,8',
        ],
        'ODDLYIELD' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '7,8',
        ],
        'OFFSET' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'OFFSET'],



>             'functionCall' => [LookupRef\Offset::class, 'OFFSET'],


            'argumentCount' => '3-5',
            'passCellReference' => true,
            'passByReference' => [true],
        ],
        'OR' => [
            'category' => Category::CATEGORY_LOGICAL,

<             'functionCall' => [Logical::class, 'logicalOr'],



>             'functionCall' => [Logical\Operations::class, 'logicalOr'],


            'argumentCount' => '1+',
        ],
        'PDURATION' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'PDURATION'],



>             'functionCall' => [Financial\CashFlow\Single::class, 'periods'],


            'argumentCount' => '3',
        ],
        'PEARSON' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'CORREL'],



>             'functionCall' => [Statistical\Trends::class, 'CORREL'],


            'argumentCount' => '2',
        ],
        'PERCENTILE' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'PERCENTILE'],



>             'functionCall' => [Statistical\Percentiles::class, 'PERCENTILE'],
>             'argumentCount' => '2',
>         ],
>         'PERCENTILE.EXC' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2',
>         ],
>         'PERCENTILE.INC' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Percentiles::class, 'PERCENTILE'],


            'argumentCount' => '2',
        ],
        'PERCENTRANK' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'PERCENTRANK'],



>             'functionCall' => [Statistical\Percentiles::class, 'PERCENTRANK'],
>             'argumentCount' => '2,3',
>         ],
>         'PERCENTRANK.EXC' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2,3',
>         ],
>         'PERCENTRANK.INC' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Percentiles::class, 'PERCENTRANK'],


            'argumentCount' => '2,3',
        ],
        'PERMUT' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'PERMUT'],



>             'functionCall' => [Statistical\Permutations::class, 'PERMUT'],
>             'argumentCount' => '2',
>         ],
>         'PERMUTATIONA' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Permutations::class, 'PERMUTATIONA'],


            'argumentCount' => '2',
        ],
        'PHONETIC' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1',
        ],

>         'PHI' => [
        'PI' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => 'pi',
>             'argumentCount' => '1',
            'argumentCount' => '0',
>         ],


        ],
        'PMT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'PMT'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic\Payments::class, 'annuity'],


            'argumentCount' => '3-5',
        ],
        'POISSON' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'POISSON'],



>             'functionCall' => [Statistical\Distributions\Poisson::class, 'distribution'],
>             'argumentCount' => '3',
>         ],
>         'POISSON.DIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Poisson::class, 'distribution'],


            'argumentCount' => '3',
        ],
        'POWER' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'POWER'],



>             'functionCall' => [MathTrig\Operations::class, 'power'],


            'argumentCount' => '2',
        ],
        'PPMT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'PPMT'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic\Payments::class, 'interestPayment'],


            'argumentCount' => '4-6',
        ],
        'PRICE' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'PRICE'],



>             'functionCall' => [Financial\Securities\Price::class, 'price'],


            'argumentCount' => '6,7',
        ],
        'PRICEDISC' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'PRICEDISC'],



>             'functionCall' => [Financial\Securities\Price::class, 'priceDiscounted'],


            'argumentCount' => '4,5',
        ],
        'PRICEMAT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'PRICEMAT'],



>             'functionCall' => [Financial\Securities\Price::class, 'priceAtMaturity'],


            'argumentCount' => '5,6',
        ],
        'PROB' => [
            'category' => Category::CATEGORY_STATISTICAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '3,4',
        ],
        'PRODUCT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'PRODUCT'],



>             'functionCall' => [MathTrig\Operations::class, 'product'],


            'argumentCount' => '1+',
        ],
        'PROPER' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'PROPERCASE'],



>             'functionCall' => [TextData\CaseConvert::class, 'proper'],


            'argumentCount' => '1',
        ],
        'PV' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'PV'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic::class, 'presentValue'],


            'argumentCount' => '3-5',
        ],
        'QUARTILE' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'QUARTILE'],



>             'functionCall' => [Statistical\Percentiles::class, 'QUARTILE'],
>             'argumentCount' => '2',
>         ],
>         'QUARTILE.EXC' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2',
>         ],
>         'QUARTILE.INC' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Percentiles::class, 'QUARTILE'],


            'argumentCount' => '2',
        ],
        'QUOTIENT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'QUOTIENT'],



>             'functionCall' => [MathTrig\Operations::class, 'quotient'],


            'argumentCount' => '2',
        ],
        'RADIANS' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'deg2rad',



>             'functionCall' => [MathTrig\Angle::class, 'toRadians'],


            'argumentCount' => '1',
        ],
        'RAND' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'RAND'],



>             'functionCall' => [MathTrig\Random::class, 'rand'],


            'argumentCount' => '0',
        ],

>         'RANDARRAY' => [
        'RANDBETWEEN' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [MathTrig\Random::class, 'randArray'],
            'functionCall' => [MathTrig::class, 'RAND'],
>             'argumentCount' => '0-5',
            'argumentCount' => '2',
>         ],



<             'functionCall' => [MathTrig::class, 'RAND'],



>             'functionCall' => [MathTrig\Random::class, 'randBetween'],


        'RANK' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'RANK'],



>             'functionCall' => [Statistical\Percentiles::class, 'RANK'],
>             'argumentCount' => '2,3',
>         ],
>         'RANK.AVG' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2,3',
>         ],
>         'RANK.EQ' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Percentiles::class, 'RANK'],


            'argumentCount' => '2,3',
        ],
        'RATE' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'RATE'],



>             'functionCall' => [Financial\CashFlow\Constant\Periodic\Interest::class, 'rate'],


            'argumentCount' => '3-6',
        ],
        'RECEIVED' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'RECEIVED'],



>             'functionCall' => [Financial\Securities\Price::class, 'received'],


            'argumentCount' => '4-5',
        ],
        'REPLACE' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'REPLACE'],



>             'functionCall' => [TextData\Replace::class, 'replace'],


            'argumentCount' => '4',
        ],
        'REPLACEB' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'REPLACE'],



>             'functionCall' => [TextData\Replace::class, 'replace'],


            'argumentCount' => '4',
        ],
        'REPT' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => 'str_repeat',



>             'functionCall' => [TextData\Concatenate::class, 'builtinREPT'],


            'argumentCount' => '2',
        ],
        'RIGHT' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'RIGHT'],



>             'functionCall' => [TextData\Extract::class, 'right'],


            'argumentCount' => '1,2',
        ],
        'RIGHTB' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'RIGHT'],



>             'functionCall' => [TextData\Extract::class, 'right'],


            'argumentCount' => '1,2',
        ],
        'ROMAN' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'ROMAN'],



>             'functionCall' => [MathTrig\Roman::class, 'evaluate'],


            'argumentCount' => '1,2',
        ],
        'ROUND' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'round',



>             'functionCall' => [MathTrig\Round::class, 'round'],


            'argumentCount' => '2',
        ],

>         'ROUNDBAHTDOWN' => [
        'ROUNDDOWN' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [MathTrig::class, 'ROUNDDOWN'],
>             'argumentCount' => '?',
            'argumentCount' => '2',
>         ],
        ],
>         'ROUNDBAHTUP' => [
        'ROUNDUP' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [MathTrig::class, 'ROUNDUP'],
>             'argumentCount' => '?',
            'argumentCount' => '2',
>         ],



<             'functionCall' => [MathTrig::class, 'ROUNDDOWN'],



>             'functionCall' => [MathTrig\Round::class, 'down'],



<             'functionCall' => [MathTrig::class, 'ROUNDUP'],



>             'functionCall' => [MathTrig\Round::class, 'up'],


            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'ROW'],



>             'functionCall' => [LookupRef\RowColumnInformation::class, 'ROW'],


            'argumentCount' => '-1',

>             'passCellReference' => true,


            'passByReference' => [true],
        ],
        'ROWS' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'ROWS'],



>             'functionCall' => [LookupRef\RowColumnInformation::class, 'ROWS'],


            'argumentCount' => '1',
        ],
        'RRI' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'RRI'],



>             'functionCall' => [Financial\CashFlow\Single::class, 'interestRate'],


            'argumentCount' => '3',
        ],
        'RSQ' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'RSQ'],



>             'functionCall' => [Statistical\Trends::class, 'RSQ'],


            'argumentCount' => '2',
        ],
        'RTD' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1+',
        ],
        'SEARCH' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'SEARCHINSENSITIVE'],



>             'functionCall' => [TextData\Search::class, 'insensitive'],


            'argumentCount' => '2,3',
        ],
        'SEARCHB' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'SEARCHINSENSITIVE'],



>             'functionCall' => [TextData\Search::class, 'insensitive'],


            'argumentCount' => '2,3',
        ],
        'SEC' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SEC'],



>             'functionCall' => [MathTrig\Trig\Secant::class, 'sec'],


            'argumentCount' => '1',
        ],
        'SECH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SECH'],



>             'functionCall' => [MathTrig\Trig\Secant::class, 'sech'],


            'argumentCount' => '1',
        ],
        'SECOND' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'SECOND'],



>             'functionCall' => [DateTimeExcel\TimeParts::class, 'second'],


            'argumentCount' => '1',
        ],

>         'SEQUENCE' => [
        'SERIESSUM' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [MathTrig\MatrixFunctions::class, 'sequence'],
            'functionCall' => [MathTrig::class, 'SERIESSUM'],
>             'argumentCount' => '1-4',
            'argumentCount' => '4',
>         ],



<             'functionCall' => [MathTrig::class, 'SERIESSUM'],



>             'functionCall' => [MathTrig\SeriesSum::class, 'evaluate'],


        'SIGN' => [

>         'SHEET' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'category' => Category::CATEGORY_INFORMATION,
            'functionCall' => [MathTrig::class, 'SIGN'],
>             'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1',
>             'argumentCount' => '0,1',
        ],
>         ],
        'SIN' => [
>         'SHEETS' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'category' => Category::CATEGORY_INFORMATION,
            'functionCall' => 'sin',
>             'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1',
>             'argumentCount' => '0,1',
        ],
>         ],



<             'functionCall' => [MathTrig::class, 'SIGN'],



>             'functionCall' => [MathTrig\Sign::class, 'evaluate'],



<             'functionCall' => 'sin',



>             'functionCall' => [MathTrig\Trig\Sine::class, 'sin'],



<             'functionCall' => 'sinh',



>             'functionCall' => [MathTrig\Trig\Sine::class, 'sinh'],


            'argumentCount' => '1',
        ],
        'SKEW' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'SKEW'],



>             'functionCall' => [Statistical\Deviations::class, 'skew'],
>             'argumentCount' => '1+',
>         ],
>         'SKEW.P' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],


            'argumentCount' => '1+',
        ],
        'SLN' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'SLN'],



>             'functionCall' => [Financial\Depreciation::class, 'SLN'],


            'argumentCount' => '3',
        ],
        'SLOPE' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'SLOPE'],



>             'functionCall' => [Statistical\Trends::class, 'SLOPE'],


            'argumentCount' => '2',
        ],
        'SMALL' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'SMALL'],



>             'functionCall' => [Statistical\Size::class, 'small'],


            'argumentCount' => '2',
        ],

>         'SORT' => [
        'SQRT' => [
>             'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [LookupRef\Sort::class, 'sort'],
            'functionCall' => 'sqrt',
>             'argumentCount' => '1-4',
            'argumentCount' => '1',
>         ],
        ],
>         'SORTBY' => [
        'SQRTPI' => [
>             'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [LookupRef\Sort::class, 'sortBy'],
            'functionCall' => [MathTrig::class, 'SQRTPI'],
>             'argumentCount' => '2+',
            'argumentCount' => '1',
>         ],



<             'functionCall' => 'sqrt',



>             'functionCall' => [MathTrig\Sqrt::class, 'sqrt'],



<             'functionCall' => [MathTrig::class, 'SQRTPI'],



>             'functionCall' => [MathTrig\Sqrt::class, 'pi'],


            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STANDARDIZE'],



>             'functionCall' => [Statistical\Standardize::class, 'execute'],


            'argumentCount' => '3',
        ],
        'STDEV' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STDEV'],



>             'functionCall' => [Statistical\StandardDeviations::class, 'STDEV'],


            'argumentCount' => '1+',
        ],
        'STDEV.S' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STDEV'],



>             'functionCall' => [Statistical\StandardDeviations::class, 'STDEV'],


            'argumentCount' => '1+',
        ],
        'STDEV.P' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STDEVP'],



>             'functionCall' => [Statistical\StandardDeviations::class, 'STDEVP'],


            'argumentCount' => '1+',
        ],
        'STDEVA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STDEVA'],



>             'functionCall' => [Statistical\StandardDeviations::class, 'STDEVA'],


            'argumentCount' => '1+',
        ],
        'STDEVP' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STDEVP'],



>             'functionCall' => [Statistical\StandardDeviations::class, 'STDEVP'],


            'argumentCount' => '1+',
        ],
        'STDEVPA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STDEVPA'],



>             'functionCall' => [Statistical\StandardDeviations::class, 'STDEVPA'],


            'argumentCount' => '1+',
        ],
        'STEYX' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'STEYX'],



>             'functionCall' => [Statistical\Trends::class, 'STEYX'],


            'argumentCount' => '2',
        ],
        'SUBSTITUTE' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'SUBSTITUTE'],



>             'functionCall' => [TextData\Replace::class, 'substitute'],


            'argumentCount' => '3,4',
        ],
        'SUBTOTAL' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUBTOTAL'],



>             'functionCall' => [MathTrig\Subtotal::class, 'evaluate'],


            'argumentCount' => '2+',
            'passCellReference' => true,
        ],
        'SUM' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUM'],



>             'functionCall' => [MathTrig\Sum::class, 'sumErroringStrings'],


            'argumentCount' => '1+',
        ],
        'SUMIF' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUMIF'],



>             'functionCall' => [Statistical\Conditional::class, 'SUMIF'],


            'argumentCount' => '2,3',
        ],
        'SUMIFS' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUMIFS'],



>             'functionCall' => [Statistical\Conditional::class, 'SUMIFS'],


            'argumentCount' => '3+',
        ],
        'SUMPRODUCT' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUMPRODUCT'],



>             'functionCall' => [MathTrig\Sum::class, 'product'],


            'argumentCount' => '1+',
        ],
        'SUMSQ' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUMSQ'],



>             'functionCall' => [MathTrig\SumSquares::class, 'sumSquare'],


            'argumentCount' => '1+',
        ],
        'SUMX2MY2' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUMX2MY2'],



>             'functionCall' => [MathTrig\SumSquares::class, 'sumXSquaredMinusYSquared'],


            'argumentCount' => '2',
        ],
        'SUMX2PY2' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUMX2PY2'],



>             'functionCall' => [MathTrig\SumSquares::class, 'sumXSquaredPlusYSquared'],


            'argumentCount' => '2',
        ],
        'SUMXMY2' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => [MathTrig::class, 'SUMXMY2'],



>             'functionCall' => [MathTrig\SumSquares::class, 'sumXMinusYSquared'],


            'argumentCount' => '2',
        ],
        'SWITCH' => [
            'category' => Category::CATEGORY_LOGICAL,

<             'functionCall' => [Logical::class, 'statementSwitch'],



>             'functionCall' => [Logical\Conditional::class, 'statementSwitch'],


            'argumentCount' => '3+',
        ],
        'SYD' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'SYD'],



>             'functionCall' => [Financial\Depreciation::class, 'SYD'],


            'argumentCount' => '4',
        ],
        'T' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,

<             'functionCall' => [TextData::class, 'RETURNSTRING'],



>             'functionCall' => [TextData\Text::class, 'test'],


            'argumentCount' => '1',
        ],

>         'TAKE' => [
        'TAN' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => 'tan',
>             'argumentCount' => '2-3',
            'argumentCount' => '1',
>         ],



<             'functionCall' => 'tan',



>             'functionCall' => [MathTrig\Trig\Tangent::class, 'tan'],


        'TANH' => [
            'category' => Category::CATEGORY_MATH_AND_TRIG,

<             'functionCall' => 'tanh',



>             'functionCall' => [MathTrig\Trig\Tangent::class, 'tanh'],


            'argumentCount' => '1',
        ],
        'TBILLEQ' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'TBILLEQ'],



>             'functionCall' => [Financial\TreasuryBill::class, 'bondEquivalentYield'],


            'argumentCount' => '3',
        ],
        'TBILLPRICE' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'TBILLPRICE'],



>             'functionCall' => [Financial\TreasuryBill::class, 'price'],


            'argumentCount' => '3',
        ],
        'TBILLYIELD' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'TBILLYIELD'],



>             'functionCall' => [Financial\TreasuryBill::class, 'yield'],


            'argumentCount' => '3',
        ],
        'TDIST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'TDIST'],



>             'functionCall' => [Statistical\Distributions\StudentT::class, 'distribution'],


            'argumentCount' => '3',
        ],

>         'T.DIST' => [
        'TEXT' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [TextData::class, 'TEXTFORMAT'],
>             'argumentCount' => '3',
            'argumentCount' => '2',
>         ],
        ],
>         'T.DIST.2T' => [
        'TEXTJOIN' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [TextData::class, 'TEXTJOIN'],
>             'argumentCount' => '2',
            'argumentCount' => '3+',
>         ],
        ],
>         'T.DIST.RT' => [
        'TIME' => [
>             'category' => Category::CATEGORY_STATISTICAL,
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [DateTime::class, 'TIME'],
>             'argumentCount' => '2',
            'argumentCount' => '3',
>         ],



<             'functionCall' => [TextData::class, 'TEXTFORMAT'],



>             'functionCall' => [TextData\Format::class, 'TEXTFORMAT'],


        'TIMEVALUE' => [

>         'TEXTAFTER' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'functionCall' => [DateTime::class, 'TIMEVALUE'],
>             'functionCall' => [TextData\Extract::class, 'after'],
            'argumentCount' => '1',
>             'argumentCount' => '2-6',
        ],
>         ],
        'TINV' => [
>         'TEXTBEFORE' => [
            'category' => Category::CATEGORY_STATISTICAL,
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'functionCall' => [Statistical::class, 'TINV'],
>             'functionCall' => [TextData\Extract::class, 'before'],
            'argumentCount' => '2',
>             'argumentCount' => '2-6',
        ],
>         ],



<             'functionCall' => [TextData::class, 'TEXTJOIN'],



>             'functionCall' => [TextData\Concatenate::class, 'TEXTJOIN'],


            'category' => Category::CATEGORY_DATE_AND_TIME,

>         'TEXTSPLIT' => [
            'functionCall' => [DateTime::class, 'DATENOW'],
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'argumentCount' => '0',
>             'functionCall' => [TextData\Text::class, 'split'],
        ],
>             'argumentCount' => '2-6',
        'TRANSPOSE' => [
>         ],
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
>         'THAIDAYOFWEEK' => [
            'functionCall' => [LookupRef::class, 'TRANSPOSE'],
>             'category' => Category::CATEGORY_DATE_AND_TIME,
            'argumentCount' => '1',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '?',
        'TREND' => [
>         ],
            'category' => Category::CATEGORY_STATISTICAL,
>         'THAIDIGIT' => [
            'functionCall' => [Statistical::class, 'TREND'],
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'argumentCount' => '1-4',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '?',
        'TRIM' => [
>         ],
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>         'THAIMONTHOFYEAR' => [
            'functionCall' => [TextData::class, 'TRIMSPACES'],
>             'category' => Category::CATEGORY_DATE_AND_TIME,
            'argumentCount' => '1',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '?',
        'TRIMMEAN' => [
>         ],
            'category' => Category::CATEGORY_STATISTICAL,
>         'THAINUMSOUND' => [
            'functionCall' => [Statistical::class, 'TRIMMEAN'],
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'argumentCount' => '2',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '?',
        'TRUE' => [
>         ],
            'category' => Category::CATEGORY_LOGICAL,
>         'THAINUMSTRING' => [
            'functionCall' => [Logical::class, 'TRUE'],
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'argumentCount' => '0',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '?',
        'TRUNC' => [
>         ],
            'category' => Category::CATEGORY_MATH_AND_TRIG,
>         'THAISTRINGLENGTH' => [
            'functionCall' => [MathTrig::class, 'TRUNC'],
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
            'argumentCount' => '1,2',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '?',
        'TTEST' => [
>         ],
            'category' => Category::CATEGORY_STATISTICAL,
>         'THAIYEAR' => [
            'functionCall' => [Functions::class, 'DUMMY'],
>             'category' => Category::CATEGORY_DATE_AND_TIME,
            'argumentCount' => '4',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '?',
        'TYPE' => [
>         ],



<             'functionCall' => [DateTime::class, 'TIME'],



>             'functionCall' => [DateTimeExcel\Time::class, 'fromHMS'],



<             'functionCall' => [DateTime::class, 'TIMEVALUE'],



>             'functionCall' => [DateTimeExcel\TimeValue::class, 'fromString'],



<             'functionCall' => [Statistical::class, 'TINV'],



>             'functionCall' => [Statistical\Distributions\StudentT::class, 'inverse'],
>             'argumentCount' => '2',
>         ],
>         'T.INV' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\StudentT::class, 'inverse'],
>             'argumentCount' => '2',
>         ],
>         'T.INV.2T' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Functions::class, 'DUMMY'],



<             'functionCall' => [DateTime::class, 'DATENOW'],



>             'functionCall' => [DateTimeExcel\Current::class, 'today'],


        'UNICHAR' => [

>         'TOCOL' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'functionCall' => [TextData::class, 'CHARACTER'],
>             'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1',
>             'argumentCount' => '1-3',
        ],
>         ],
        'UNICODE' => [
>         'TOROW' => [
            'category' => Category::CATEGORY_TEXT_AND_DATA,
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'functionCall' => [TextData::class, 'ASCIICODE'],
>             'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1',
>             'argumentCount' => '1-3',
        ],
>         ],



<             'functionCall' => [LookupRef::class, 'TRANSPOSE'],



>             'functionCall' => [LookupRef\Matrix::class, 'transpose'],



<             'functionCall' => [Statistical::class, 'TREND'],



>             'functionCall' => [Statistical\Trends::class, 'TREND'],



<             'functionCall' => [TextData::class, 'TRIMSPACES'],



>             'functionCall' => [TextData\Trim::class, 'spaces'],



<             'functionCall' => [Statistical::class, 'TRIMMEAN'],



>             'functionCall' => [Statistical\Averages\Mean::class, 'trim'],



<             'functionCall' => [Logical::class, 'TRUE'],



>             'functionCall' => [Logical\Boolean::class, 'TRUE'],



<             'functionCall' => [MathTrig::class, 'TRUNC'],



>             'functionCall' => [MathTrig\Trunc::class, 'evaluate'],


            'category' => Category::CATEGORY_FINANCIAL,

>         'T.TEST' => [
            'functionCall' => [Functions::class, 'DUMMY'],
>             'category' => Category::CATEGORY_STATISTICAL,
            'argumentCount' => '2',
>             'functionCall' => [Functions::class, 'DUMMY'],
        ],
>             'argumentCount' => '4',
        'VALUE' => [
>         ],



<             'functionCall' => [Functions::class, 'TYPE'],



>             'functionCall' => [Information\Value::class, 'type'],



<             'functionCall' => [TextData::class, 'CHARACTER'],



>             'functionCall' => [TextData\CharacterConvert::class, 'character'],



<             'functionCall' => [TextData::class, 'ASCIICODE'],



>             'functionCall' => [TextData\CharacterConvert::class, 'code'],


        ],

>         'UNIQUE' => [
        'VAR' => [
>             'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [LookupRef\Unique::class, 'unique'],
            'functionCall' => [Statistical::class, 'VARFunc'],
>             'argumentCount' => '1+',
            'argumentCount' => '1+',
>         ],



<             'functionCall' => [TextData::class, 'UPPERCASE'],



>             'functionCall' => [TextData\CaseConvert::class, 'upper'],



<             'functionCall' => [Functions::class, 'DUMMY'],



>             'functionCall' => [Financial\Dollar::class, 'format'],



<             'functionCall' => [TextData::class, 'VALUE'],



>             'functionCall' => [TextData\Format::class, 'VALUE'],


            'functionCall' => [Statistical::class, 'VARP'],

>         'VALUETOTEXT' => [
            'argumentCount' => '1+',
>             'category' => Category::CATEGORY_TEXT_AND_DATA,
        ],
>             'functionCall' => [TextData\Format::class, 'valueToText'],
        'VAR.S' => [
>             'argumentCount' => '1,2',
            'category' => Category::CATEGORY_STATISTICAL,
>         ],



<             'functionCall' => [Statistical::class, 'VARFunc'],



>             'functionCall' => [Statistical\Variances::class, 'VAR'],



<             'functionCall' => [Statistical::class, 'VARP'],



>             'functionCall' => [Statistical\Variances::class, 'VARP'],



<             'functionCall' => [Statistical::class, 'VARFunc'],



>             'functionCall' => [Statistical\Variances::class, 'VAR'],


        'VARA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'VARA'],



>             'functionCall' => [Statistical\Variances::class, 'VARA'],


            'argumentCount' => '1+',
        ],
        'VARP' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'VARP'],



>             'functionCall' => [Statistical\Variances::class, 'VARP'],


            'argumentCount' => '1+',
        ],
        'VARPA' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'VARPA'],



>             'functionCall' => [Statistical\Variances::class, 'VARPA'],


            'argumentCount' => '1+',
        ],
        'VDB' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '5-7',
        ],
        'VLOOKUP' => [
            'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,

<             'functionCall' => [LookupRef::class, 'VLOOKUP'],



>             'functionCall' => [LookupRef\VLookup::class, 'lookup'],


            'argumentCount' => '3,4',
        ],

>         'VSTACK' => [
        'WEEKDAY' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [DateTime::class, 'WEEKDAY'],
>             'argumentCount' => '1+',
            'argumentCount' => '1,2',
>         ],
        ],
>         'WEBSERVICE' => [
        'WEEKNUM' => [
>             'category' => Category::CATEGORY_WEB,
            'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Web\Service::class, 'webService'],
            'functionCall' => [DateTime::class, 'WEEKNUM'],
>             'argumentCount' => '1',
            'argumentCount' => '1,2',
>         ],



<             'functionCall' => [DateTime::class, 'WEEKDAY'],



>             'functionCall' => [DateTimeExcel\Week::class, 'day'],



<             'functionCall' => [DateTime::class, 'WEEKNUM'],



>             'functionCall' => [DateTimeExcel\Week::class, 'number'],


            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'WEIBULL'],



>             'functionCall' => [Statistical\Distributions\Weibull::class, 'distribution'],
>             'argumentCount' => '4',
>         ],
>         'WEIBULL.DIST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\Weibull::class, 'distribution'],


            'argumentCount' => '4',
        ],
        'WORKDAY' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'WORKDAY'],
<             'argumentCount' => '2+',



>             'functionCall' => [DateTimeExcel\WorkDay::class, 'date'],
>             'argumentCount' => '2-3',
>         ],
>         'WORKDAY.INTL' => [
>             'category' => Category::CATEGORY_DATE_AND_TIME,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2-4',
>         ],
>         'WRAPCOLS' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2-3',
>         ],
>         'WRAPROWS' => [
>             'category' => Category::CATEGORY_MATH_AND_TRIG,
>             'functionCall' => [Functions::class, 'DUMMY'],
>             'argumentCount' => '2-3',


        ],
        'XIRR' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'XIRR'],



>             'functionCall' => [Financial\CashFlow\Variable\NonPeriodic::class, 'rate'],


            'argumentCount' => '2,3',
        ],

>         'XLOOKUP' => [
        'XNPV' => [
>             'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'category' => Category::CATEGORY_FINANCIAL,
>             'functionCall' => [Functions::class, 'DUMMY'],
            'functionCall' => [Financial::class, 'XNPV'],
>             'argumentCount' => '3-6',
            'argumentCount' => '3',
>         ],



<             'functionCall' => [Financial::class, 'XNPV'],



>             'functionCall' => [Financial\CashFlow\Variable\NonPeriodic::class, 'presentValue'],


        'XOR' => [

>         'XMATCH' => [
            'category' => Category::CATEGORY_LOGICAL,
>             'category' => Category::CATEGORY_LOOKUP_AND_REFERENCE,
            'functionCall' => [Logical::class, 'logicalXor'],
>             'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '1+',
>             'argumentCount' => '2,3',
        ],
>         ],



<             'functionCall' => [Logical::class, 'logicalXor'],



>             'functionCall' => [Logical\Operations::class, 'logicalXor'],


            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'YEAR'],



>             'functionCall' => [DateTimeExcel\DateParts::class, 'year'],


            'argumentCount' => '1',
        ],
        'YEARFRAC' => [
            'category' => Category::CATEGORY_DATE_AND_TIME,

<             'functionCall' => [DateTime::class, 'YEARFRAC'],



>             'functionCall' => [DateTimeExcel\YearFrac::class, 'fraction'],


            'argumentCount' => '2,3',
        ],
        'YIELD' => [
            'category' => Category::CATEGORY_FINANCIAL,
            'functionCall' => [Functions::class, 'DUMMY'],
            'argumentCount' => '6,7',
        ],
        'YIELDDISC' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'YIELDDISC'],



>             'functionCall' => [Financial\Securities\Yields::class, 'yieldDiscounted'],


            'argumentCount' => '4,5',
        ],
        'YIELDMAT' => [
            'category' => Category::CATEGORY_FINANCIAL,

<             'functionCall' => [Financial::class, 'YIELDMAT'],



>             'functionCall' => [Financial\Securities\Yields::class, 'yieldAtMaturity'],


            'argumentCount' => '5,6',
        ],
        'ZTEST' => [
            'category' => Category::CATEGORY_STATISTICAL,

<             'functionCall' => [Statistical::class, 'ZTEST'],



>             'functionCall' => [Statistical\Distributions\StandardNormal::class, 'zTest'],
>             'argumentCount' => '2-3',
>         ],
>         'Z.TEST' => [
>             'category' => Category::CATEGORY_STATISTICAL,
>             'functionCall' => [Statistical\Distributions\StandardNormal::class, 'zTest'],


            'argumentCount' => '2-3',
        ],
    ];

    //    Internal functions used for special control purposes
    private static $controlFunctions = [
        'MKMATRIX' => [
            'argumentCount' => '*',

<             'functionCall' => 'self::mkMatrix',



>             'functionCall' => [Internal\MakeMatrix::class, 'make'],
>         ],
>         'NAME.ERROR' => [
>             'argumentCount' => '*',
>             'functionCall' => [Functions::class, 'NAME'],
>         ],
>         'WILDCARDMATCH' => [
>             'argumentCount' => '2',
>             'functionCall' => [Internal\WildcardMatch::class, 'compare'],


        ],
    ];


<     public function __construct(Spreadsheet $spreadsheet = null)



>     public function __construct(?Spreadsheet $spreadsheet = null)


    {

<         $this->delta = 1 * pow(10, 0 - ini_get('precision'));
< 


        $this->spreadsheet = $spreadsheet;
        $this->cyclicReferenceStack = new CyclicReferenceStack();
        $this->debugLog = new Logger($this->cyclicReferenceStack);

>         $this->branchPruner = new BranchPruner($this->branchPruningEnabled);
    }
>         self::$referenceHelper = ReferenceHelper::getInstance();




<     private static function loadLocales()



>     private static function loadLocales(): void


    {
        $localeFileDirectory = __DIR__ . '/locale/';
        foreach (glob($localeFileDirectory . '*', GLOB_ONLYDIR) as $filename) {
            $filename = substr($filename, strlen($localeFileDirectory));
            if ($filename != 'en') {
                self::$validLocaleLanguages[] = $filename;
            }
        }
    }

    /**
     * Get an instance of this class.
     *

<      * @param Spreadsheet $spreadsheet Injected spreadsheet for working with a PhpSpreadsheet Spreadsheet object,
<      *                                    or NULL to create a standalone claculation engine
<      *
<      * @return Calculation



>      * @param ?Spreadsheet $spreadsheet Injected spreadsheet for working with a PhpSpreadsheet Spreadsheet object,
>      *                                    or NULL to create a standalone calculation engine


     */

<     public static function getInstance(Spreadsheet $spreadsheet = null)



>     public static function getInstance(?Spreadsheet $spreadsheet = null): self


    {
        if ($spreadsheet !== null) {
            $instance = $spreadsheet->getCalculationEngine();
            if (isset($instance)) {
                return $instance;
            }
        }

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

        return self::$instance;
    }

    /**
     * Flush the calculation cache for any existing instance of this class
     *        but only if a Calculation instance exists.
     */

<     public function flushInstance()



>     public function flushInstance(): void


    {
        $this->clearCalculationCache();

<         $this->clearBranchStore();



>         $this->branchPruner->clearBranchStore();


    }

    /**
     * Get the Logger for this calculation engine instance.
     *
     * @return Logger
     */
    public function getDebugLog()
    {
        return $this->debugLog;
    }

    /**
     * __clone implementation. Cloning should not be allowed in a Singleton!

<      *
<      * @throws Exception


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

    /**
     * Return the locale-specific translation of TRUE.
     *
     * @return string locale-specific translation of TRUE
     */

<     public static function getTRUE()



>     public static function getTRUE(): string


    {
        return self::$localeBoolean['TRUE'];
    }

    /**
     * Return the locale-specific translation of FALSE.
     *
     * @return string locale-specific translation of FALSE
     */

<     public static function getFALSE()



>     public static function getFALSE(): string


    {
        return self::$localeBoolean['FALSE'];
    }

    /**
     * Set the Array Return Type (Array or Value of first element in the array).
     *
     * @param string $returnType Array return type
     *
     * @return bool Success or failure
     */
    public static function setArrayReturnType($returnType)
    {

<         if (($returnType == self::RETURN_ARRAY_AS_VALUE) ||



>         if (
>             ($returnType == self::RETURN_ARRAY_AS_VALUE) ||


            ($returnType == self::RETURN_ARRAY_AS_ERROR) ||

<             ($returnType == self::RETURN_ARRAY_AS_ARRAY)) {



>             ($returnType == self::RETURN_ARRAY_AS_ARRAY)
>         ) {


            self::$returnArrayAsType = $returnType;

            return true;
        }

        return false;
    }

    /**
     * Return the Array Return Type (Array or Value of first element in the array).
     *
     * @return string $returnType Array return type
     */
    public static function getArrayReturnType()
    {
        return self::$returnArrayAsType;
    }

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

    /**
     * Enable/disable calculation cache.
     *

<      * @param bool $pValue



>      * @param bool $calculationCacheEnabled


     */

<     public function setCalculationCacheEnabled($pValue)



>     public function setCalculationCacheEnabled($calculationCacheEnabled): void


    {

<         $this->calculationCacheEnabled = $pValue;



>         $this->calculationCacheEnabled = $calculationCacheEnabled;


        $this->clearCalculationCache();
    }

    /**
     * Enable calculation cache.
     */

<     public function enableCalculationCache()



>     public function enableCalculationCache(): void


    {
        $this->setCalculationCacheEnabled(true);
    }

    /**
     * Disable calculation cache.
     */

<     public function disableCalculationCache()



>     public function disableCalculationCache(): void


    {
        $this->setCalculationCacheEnabled(false);
    }

    /**
     * Clear calculation cache.
     */

<     public function clearCalculationCache()



>     public function clearCalculationCache(): void


    {
        $this->calculationCache = [];
    }

    /**
     * Clear calculation cache for a specified worksheet.
     *
     * @param string $worksheetName
     */

<     public function clearCalculationCacheForWorksheet($worksheetName)



>     public function clearCalculationCacheForWorksheet($worksheetName): void


    {
        if (isset($this->calculationCache[$worksheetName])) {
            unset($this->calculationCache[$worksheetName]);
        }
    }

    /**
     * Rename calculation cache for a specified worksheet.
     *
     * @param string $fromWorksheetName
     * @param string $toWorksheetName
     */

<     public function renameCalculationCacheForWorksheet($fromWorksheetName, $toWorksheetName)



>     public function renameCalculationCacheForWorksheet($fromWorksheetName, $toWorksheetName): void


    {
        if (isset($this->calculationCache[$fromWorksheetName])) {
            $this->calculationCache[$toWorksheetName] = &$this->calculationCache[$fromWorksheetName];
            unset($this->calculationCache[$fromWorksheetName]);
        }
    }

    /**
     * Enable/disable calculation cache.
     *

<      * @param bool $pValue


     * @param mixed $enabled
     */

<     public function setBranchPruningEnabled($enabled)



>     public function setBranchPruningEnabled($enabled): void


    {
        $this->branchPruningEnabled = $enabled;

>         $this->branchPruner = new BranchPruner($this->branchPruningEnabled);


    }


<     public function enableBranchPruning()



>     public function enableBranchPruning(): void


    {
        $this->setBranchPruningEnabled(true);
    }


<     public function disableBranchPruning()



>     public function disableBranchPruning(): void


    {
        $this->setBranchPruningEnabled(false);
    }


<     public function clearBranchStore()
<     {
<         $this->branchStoreKeyCounter = 0;
<     }
< 


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


>     private function getLocaleFile(string $localeDir, string $locale, string $language, string $file): string
    /**
>     {
     * Set the locale code.
>         $localeFileName = $localeDir . str_replace('_', DIRECTORY_SEPARATOR, $locale) .
     *
>             DIRECTORY_SEPARATOR . $file;
     * @param string $locale The locale to use for formula translation, eg: 'en_us'
>         if (!file_exists($localeFileName)) {
     *
>             //    If there isn't a locale specific file, look for a language specific file
     * @return bool
>             $localeFileName = $localeDir . $language . DIRECTORY_SEPARATOR . $file;
     */
>             if (!file_exists($localeFileName)) {
    public function setLocale($locale)
>                 throw new Exception('Locale file not found');
    {
>             }
        //    Identify our locale and language
>         }
        $language = $locale = strtolower($locale);
> 
        if (strpos($locale, '_') !== false) {
>         return $localeFileName;
            [$language] = explode('_', $locale);
>     }
        }
> 



<     public function setLocale($locale)



>     public function setLocale(string $locale)


            self::loadLocales();
        }

> 


        //    Test whether we have any language data for this language (any locale)

<         if (in_array($language, self::$validLocaleLanguages)) {



>         if (in_array($language, self::$validLocaleLanguages, true)) {


            //    initialise language/locale settings
            self::$localeFunctions = [];
            self::$localeArgumentSeparator = ',';
            self::$localeBoolean = ['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') {



> 
>             //    Default is US English, if user isn't requesting US english, then read the necessary data from the locale files
>             if ($locale !== 'en_us') {
>                 $localeDir = implode(DIRECTORY_SEPARATOR, [__DIR__, 'locale', null]);


                //    Search for a file with a list of function names for locale

<                 $functionNamesFile = __DIR__ . '/locale/' . 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 = __DIR__ . '/locale/' . $language . DIRECTORY_SEPARATOR . 'functions';
<                     if (!file_exists($functionNamesFile)) {



>                 try {
>                     $functionNamesFile = $this->getLocaleFile($localeDir, $locale, $language, 'functions');
>                 } catch (Exception $e) {


                        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 $localeFunction) {
                    [$localeFunction] = explode('##', $localeFunction); //    Strip out comments
                    if (strpos($localeFunction, '=') !== false) {

<                         [$fName, $lfName] = explode('=', $localeFunction);
<                         $fName = trim($fName);
<                         $lfName = trim($lfName);
<                         if ((isset(self::$phpSpreadsheetFunctions[$fName])) && ($lfName != '') && ($fName != $lfName)) {



>                         [$fName, $lfName] = array_map('trim', explode('=', $localeFunction));
>                         if ((substr($fName, 0, 1) === '*' || isset(self::$phpSpreadsheetFunctions[$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 = __DIR__ . '/locale/' . str_replace('_', DIRECTORY_SEPARATOR, $locale) . DIRECTORY_SEPARATOR . 'config';
<                 if (!file_exists($configFile)) {
<                     $configFile = __DIR__ . '/locale/' . $language . DIRECTORY_SEPARATOR . 'config';



>                 try {
>                     $configFile = $this->getLocaleFile($localeDir, $locale, $language, 'config');
>                 } catch (Exception $e) {
>                     return false;


                }

<                 if (file_exists($configFile)) {



> 


                    $localeSettings = file($configFile, FILE_IGNORE_NEW_LINES | FILE_SKIP_EMPTY_LINES);
                    foreach ($localeSettings as $localeSetting) {
                        [$localeSetting] = explode('##', $localeSetting); //    Strip out comments
                        if (strpos($localeSetting, '=') !== false) {

<                             [$settingName, $settingValue] = explode('=', $localeSetting);
<                             $settingName = strtoupper(trim($settingName));



>                         [$settingName, $settingValue] = array_map('trim', explode('=', $localeSetting));
>                         $settingName = strtoupper($settingName);
>                         if ($settingValue !== '') {


                            switch ($settingName) {
                                case 'ARGUMENTSEPARATOR':

<                                     self::$localeArgumentSeparator = trim($settingValue);



>                                     self::$localeArgumentSeparator = $settingValue;



                                    break;
                            }
                        }
                    }
                }
            }

            self::$functionReplaceFromExcel = self::$functionReplaceToExcel =
            self::$functionReplaceFromLocale = self::$functionReplaceToLocale = null;
            self::$localeLanguage = $locale;

            return true;
        }

        return false;
    }


<     /**
<      * @param string $fromSeparator
<      * @param string $toSeparator
<      * @param string $formula
<      * @param bool $inBraces
<      *
<      * @return string
<      */
<     public static function translateSeparator($fromSeparator, $toSeparator, $formula, &$inBraces)
<     {



>     public static function translateSeparator(
>         string $fromSeparator,
>         string $toSeparator,
>         string $formula,
>         int &$inBracesLevel,
>         string $openBrace = self::FORMULA_OPEN_FUNCTION_BRACE,
>         string $closeBrace = self::FORMULA_CLOSE_FUNCTION_BRACE
>     ): string {


        $strlen = mb_strlen($formula);
        for ($i = 0; $i < $strlen; ++$i) {
            $chr = mb_substr($formula, $i, 1);
            switch ($chr) {

<                 case '{':
<                     $inBraces = true;



>                 case $openBrace:
>                     ++$inBracesLevel;



                    break;

<                 case '}':
<                     $inBraces = false;



>                 case $closeBrace:
>                     --$inBracesLevel;



                    break;
                case $fromSeparator:

<                     if (!$inBraces) {



>                     if ($inBracesLevel > 0) {


                        $formula = mb_substr($formula, 0, $i) . $toSeparator . mb_substr($formula, $i + 1);
                    }
            }
        }

        return $formula;
    }


<     /**
<      * @param string[] $from
<      * @param string[] $to
<      * @param string $formula
<      * @param string $fromSeparator
<      * @param string $toSeparator
<      *
<      * @return string
<      */
<     private static function translateFormula(array $from, array $to, $formula, $fromSeparator, $toSeparator)



>     private static function translateFormulaBlock(
>         array $from,
>         array $to,
>         string $formula,
>         int &$inFunctionBracesLevel,
>         int &$inMatrixBracesLevel,
>         string $fromSeparator,
>         string $toSeparator
>     ): string {
>         // Function Names
>         $formula = (string) preg_replace($from, $to, $formula);
> 
>         // Temporarily adjust matrix separators so that they won't be confused with function arguments
>         $formula = self::translateSeparator(';', '|', $formula, $inMatrixBracesLevel, self::FORMULA_OPEN_MATRIX_BRACE, self::FORMULA_CLOSE_MATRIX_BRACE);
>         $formula = self::translateSeparator(',', '!', $formula, $inMatrixBracesLevel, self::FORMULA_OPEN_MATRIX_BRACE, self::FORMULA_CLOSE_MATRIX_BRACE);
>         // Function Argument Separators
>         $formula = self::translateSeparator($fromSeparator, $toSeparator, $formula, $inFunctionBracesLevel);
>         // Restore matrix separators
>         $formula = self::translateSeparator('|', ';', $formula, $inMatrixBracesLevel, self::FORMULA_OPEN_MATRIX_BRACE, self::FORMULA_CLOSE_MATRIX_BRACE);
>         $formula = self::translateSeparator('!', ',', $formula, $inMatrixBracesLevel, self::FORMULA_OPEN_MATRIX_BRACE, self::FORMULA_CLOSE_MATRIX_BRACE);
> 
>         return $formula;
>     }
> 
>     private static function translateFormula(array $from, array $to, string $formula, string $fromSeparator, string $toSeparator): string


    {

<         //    Convert any Excel function names to the required language



>         // Convert any Excel function names and constant names to the required language;
>         //     and adjust function argument separators


        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;



>             $inFunctionBracesLevel = 0;
>             $inMatrixBracesLevel = 0;
>             //    If there is the possibility of separators within a quoted string, then we treat them as literals
>             if (strpos($formula, self::FORMULA_STRING_QUOTE) !== 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(self::FORMULA_STRING_QUOTE, $formula);
>                 $notWithinQuotes = 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);



>                     //    Only adjust in alternating array entries
>                     $notWithinQuotes = !$notWithinQuotes;
>                     if ($notWithinQuotes === true) {
>                         $value = self::translateFormulaBlock($from, $to, $value, $inFunctionBracesLevel, $inMatrixBracesLevel, $fromSeparator, $toSeparator);


                    }
                }
                unset($value);
                //    Then rebuild the formula string

<                 $formula = implode('"', $temp);



>                 $formula = implode(self::FORMULA_STRING_QUOTE, $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);



>                 $formula = self::translateFormulaBlock($from, $to, $formula, $inFunctionBracesLevel, $inMatrixBracesLevel, $fromSeparator, $toSeparator);


            }
        }

        return $formula;
    }


<     private static $functionReplaceFromExcel = null;



>     private static $functionReplaceFromExcel;




<     private static $functionReplaceToLocale = null;



>     private static $functionReplaceToLocale;



    public function _translateFormulaToLocale($formula)
    {

>         // Build list of function names and constants for translation


        if (self::$functionReplaceFromExcel === null) {
            self::$functionReplaceFromExcel = [];
            foreach (array_keys(self::$localeFunctions) as $excelFunctionName) {

<                 self::$functionReplaceFromExcel[] = '/(@?[^\w\.])' . preg_quote($excelFunctionName, '/') . '([\s]*\()/Ui';



>                 self::$functionReplaceFromExcel[] = '/(@?[^\w\.])' . preg_quote($excelFunctionName, '/') . '([\s]*\()/ui';


            }
            foreach (array_keys(self::$localeBoolean) as $excelBoolean) {

<                 self::$functionReplaceFromExcel[] = '/(@?[^\w\.])' . preg_quote($excelBoolean, '/') . '([^\w\.])/Ui';



>                 self::$functionReplaceFromExcel[] = '/(@?[^\w\.])' . preg_quote($excelBoolean, '/') . '([^\w\.])/ui';


            }
        }

        if (self::$functionReplaceToLocale === null) {
            self::$functionReplaceToLocale = [];
            foreach (self::$localeFunctions as $localeFunctionName) {
                self::$functionReplaceToLocale[] = '$1' . trim($localeFunctionName) . '$2';
            }
            foreach (self::$localeBoolean as $localeBoolean) {
                self::$functionReplaceToLocale[] = '$1' . trim($localeBoolean) . '$2';
            }
        }


<         return self::translateFormula(self::$functionReplaceFromExcel, self::$functionReplaceToLocale, $formula, ',', self::$localeArgumentSeparator);



>         return self::translateFormula(
>             self::$functionReplaceFromExcel,
>             self::$functionReplaceToLocale,
>             $formula,
>             ',',
>             self::$localeArgumentSeparator
>         );


    }


<     private static $functionReplaceFromLocale = null;



>     private static $functionReplaceFromLocale;




<     private static $functionReplaceToExcel = null;



>     private static $functionReplaceToExcel;



    public function _translateFormulaToEnglish($formula)
    {
        if (self::$functionReplaceFromLocale === null) {
            self::$functionReplaceFromLocale = [];
            foreach (self::$localeFunctions as $localeFunctionName) {

<                 self::$functionReplaceFromLocale[] = '/(@?[^\w\.])' . preg_quote($localeFunctionName, '/') . '([\s]*\()/Ui';



>                 self::$functionReplaceFromLocale[] = '/(@?[^\w\.])' . preg_quote($localeFunctionName, '/') . '([\s]*\()/ui';


            }
            foreach (self::$localeBoolean as $excelBoolean) {

<                 self::$functionReplaceFromLocale[] = '/(@?[^\w\.])' . preg_quote($excelBoolean, '/') . '([^\w\.])/Ui';



>                 self::$functionReplaceFromLocale[] = '/(@?[^\w\.])' . preg_quote($excelBoolean, '/') . '([^\w\.])/ui';


            }
        }

        if (self::$functionReplaceToExcel === null) {
            self::$functionReplaceToExcel = [];
            foreach (array_keys(self::$localeFunctions) as $excelFunctionName) {

>                 // @phpstan-ignore-next-line


                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, ',');
    }

    public static function localeFunc($function)
    {
        if (self::$localeLanguage !== 'en_us') {
            $functionName = trim($function, '(');
            if (isset(self::$localeFunctions[$functionName])) {
                $brace = ($functionName != $function);
                $function = self::$localeFunctions[$functionName];
                if ($brace) {
                    $function .= '(';
                }
            }
        }

        return $function;
    }

    /**
     * Wrap string values in quotes.
     *
     * @param mixed $value
     *
     * @return mixed
     */
    public static function wrapResult($value)
    {
        if (is_string($value)) {
            //    Error values cannot be "wrapped"
            if (preg_match('/^' . self::CALCULATION_REGEXP_ERROR . '$/i', $value, $match)) {
                //    Return Excel errors "as is"
                return $value;
            }

> 


            //    Return strings wrapped in quotes

<             return '"' . $value . '"';
<         //    Convert numeric errors to NaN error



>             return self::FORMULA_STRING_QUOTE . $value . self::FORMULA_STRING_QUOTE;


        } elseif ((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {

<             return Functions::NAN();



>             //    Convert numeric errors to NaN error
>             return Information\ExcelError::NAN();


        }

        return $value;
    }

    /**
     * Remove quotes used as a wrapper to identify string values.
     *
     * @param mixed $value
     *
     * @return mixed
     */
    public static function unwrapResult($value)
    {
        if (is_string($value)) {

<             if ((isset($value[0])) && ($value[0] == '"') && (substr($value, -1) == '"')) {



>             if ((isset($value[0])) && ($value[0] == self::FORMULA_STRING_QUOTE) && (substr($value, -1) == self::FORMULA_STRING_QUOTE)) {


                return substr($value, 1, -1);
            }
            //    Convert numeric errors to NAN error
        } elseif ((is_float($value)) && ((is_nan($value)) || (is_infinite($value)))) {

<             return Functions::NAN();



>             return Information\ExcelError::NAN();


        }

        return $value;
    }

    /**
     * Calculate cell value (using formula from a cell ID)
     * Retained for backward compatibility.
     *

<      * @param Cell $pCell Cell to calculate
<      *
<      * @throws Exception



>      * @param Cell $cell Cell to calculate


     *
     * @return mixed
     */

<     public function calculate(Cell $pCell = null)



>     public function calculate(?Cell $cell = null)


    {
        try {

<             return $this->calculateCellValue($pCell);



>             return $this->calculateCellValue($cell);


        } catch (\Exception $e) {
            throw new Exception($e->getMessage());
        }
    }

    /**
     * Calculate the value of a cell formula.
     *

<      * @param Cell $pCell Cell to calculate



>      * @param Cell $cell Cell to calculate


     * @param bool $resetLog Flag indicating whether the debug log should be reset or not
     *

<      * @throws \PhpOffice\PhpSpreadsheet\Exception
<      *


     * @return mixed
     */

<     public function calculateCellValue(Cell $pCell = null, $resetLog = true)



>     public function calculateCellValue(?Cell $cell = null, $resetLog = true)


    {

<         if ($pCell === null) {



>         if ($cell === null) {


            return null;
        }

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

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

        //    Execute the calculation for the cell formula
        $this->cellStack[] = [

<             'sheet' => $pCell->getWorksheet()->getTitle(),
<             'cell' => $pCell->getCoordinate(),



>             'sheet' => $cell->getWorksheet()->getTitle(),
>             'cell' => $cell->getCoordinate(),


        ];

        try {

<             $result = self::unwrapResult($this->_calculateFormulaValue($pCell->getValue(), $pCell->getCoordinate(), $pCell));



>             $result = self::unwrapResult($this->_calculateFormulaValue($cell->getValue(), $cell->getCoordinate(), $cell));


            $cellAddress = array_pop($this->cellStack);
            $this->spreadsheet->getSheetByName($cellAddress['sheet'])->getCell($cellAddress['cell']);
        } catch (\Exception $e) {
            $cellAddress = array_pop($this->cellStack);
            $this->spreadsheet->getSheetByName($cellAddress['sheet'])->getCell($cellAddress['cell']);

            throw new Exception($e->getMessage());
        }

        if ((is_array($result)) && (self::$returnArrayAsType != self::RETURN_ARRAY_AS_ARRAY)) {
            self::$returnArrayAsType = $returnArrayAsType;
            $testResult = Functions::flattenArray($result);
            if (self::$returnArrayAsType == self::RETURN_ARRAY_AS_ERROR) {

<                 return Functions::VALUE();



>                 return Information\ExcelError::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 Functions::VALUE();



>                     return Information\ExcelError::VALUE();


                }
                if (is_array($result[$r])) {
                    $c = array_keys($result[$r]);
                    $c = array_shift($c);
                    if (!is_numeric($c)) {

<                         return Functions::VALUE();



>                         return Information\ExcelError::VALUE();


                    }
                }
            }
            $result = array_shift($testResult);
        }
        self::$returnArrayAsType = $returnArrayAsType;


<         if ($result === null && $pCell->getWorksheet()->getSheetView()->getShowZeros()) {



>         if ($result === null && $cell->getWorksheet()->getSheetView()->getShowZeros()) {


            return 0;
        } elseif ((is_float($result)) && ((is_nan($result)) || (is_infinite($result)))) {

<             return Functions::NAN();



>             return Information\ExcelError::NAN();


        }

        return $result;
    }

    /**
     * Validate and parse a formula string.
     *
     * @param string $formula Formula to parse
     *
     * @return array|bool
     */
    public function parseFormula($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 [];
        }
        $formula = ltrim(substr($formula, 1));
        if (!isset($formula[0])) {
            return [];
        }

        //    Parse the formula and return the token stack

<         return $this->_parseFormula($formula);



>         return $this->internalParseFormula($formula);


    }

    /**
     * Calculate the value of a formula.
     *
     * @param string $formula Formula to parse
     * @param string $cellID Address of the cell to calculate

<      * @param Cell $pCell Cell to calculate
<      *
<      * @throws \PhpOffice\PhpSpreadsheet\Exception



>      * @param Cell $cell Cell to calculate


     *
     * @return mixed
     */

<     public function calculateFormula($formula, $cellID = null, Cell $pCell = null)



>     public function calculateFormula($formula, $cellID = null, ?Cell $cell = null)


    {
        //    Initialise the logging settings
        $this->formulaError = null;
        $this->debugLog->clearLog();
        $this->cyclicReferenceStack->clear();


<         if ($this->spreadsheet !== null && $cellID === null && $pCell === null) {



>         $resetCache = $this->getCalculationCacheEnabled();
>         if ($this->spreadsheet !== null && $cellID === null && $cell === null) {


            $cellID = 'A1';

<             $pCell = $this->spreadsheet->getActiveSheet()->getCell($cellID);



>             $cell = $this->spreadsheet->getActiveSheet()->getCell($cellID);


        } else {
            //    Disable calculation cacheing because it only applies to cell calculations, not straight formulae
            //    But don't actually flush any cache

<             $resetCache = $this->getCalculationCacheEnabled();


            $this->calculationCacheEnabled = false;
        }

        //    Execute the calculation
        try {

<             $result = self::unwrapResult($this->_calculateFormulaValue($formula, $cellID, $pCell));



>             $result = self::unwrapResult($this->_calculateFormulaValue($formula, $cellID, $cell));


        } catch (\Exception $e) {
            throw new Exception($e->getMessage());
        }

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

        return $result;
    }

    /**

<      * @param string $cellReference


     * @param mixed $cellValue

<      *
<      * @return bool


     */

<     public function getValueFromCache($cellReference, &$cellValue)



>     public function getValueFromCache(string $cellReference, &$cellValue): bool


    {

>         $this->debugLog->writeDebugLog('Testing cache value for cell %s', $cellReference);


        // Is calculation cacheing enabled?

<         // Is the value present in calculation cache?
<         $this->debugLog->writeDebugLog('Testing cache value for cell ', $cellReference);



>         // If so, is the required value present in calculation cache?


        if (($this->calculationCacheEnabled) && (isset($this->calculationCache[$cellReference]))) {

<             $this->debugLog->writeDebugLog('Retrieving value for cell ', $cellReference, ' from cache');



>             $this->debugLog->writeDebugLog('Retrieving value for cell %s from cache', $cellReference);


            // Return the cached result

            $cellValue = $this->calculationCache[$cellReference];

            return true;
        }

        return false;
    }

    /**
     * @param string $cellReference
     * @param mixed $cellValue
     */

<     public function saveValueToCache($cellReference, $cellValue)



>     public function saveValueToCache($cellReference, $cellValue): void


    {
        if ($this->calculationCacheEnabled) {
            $this->calculationCache[$cellReference] = $cellValue;
        }
    }

    /**
     * Parse a cell formula and calculate its value.
     *
     * @param string $formula The formula to parse and calculate
     * @param string $cellID The ID (e.g. A3) of the cell that we are calculating

<      * @param Cell $pCell Cell to calculate
<      *
<      * @throws Exception



>      * @param Cell $cell Cell to calculate


     *
     * @return mixed
     */

<     public function _calculateFormulaValue($formula, $cellID = null, Cell $pCell = null)



>     public function _calculateFormulaValue($formula, $cellID = null, ?Cell $cell = null)


    {
        $cellValue = null;

        //  Quote-Prefixed cell values cannot be formulae, but are treated as strings

<         if ($pCell !== null && $pCell->getStyle()->getQuotePrefix() === true) {



>         if ($cell !== null && $cell->getStyle()->getQuotePrefix() === true) {


            return self::wrapResult((string) $formula);
        }

        if (preg_match('/^=\s*cmd\s*\|/miu', $formula) !== 0) {
            return self::wrapResult($formula);
        }

        //    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;



>         $pCellParent = ($cell !== null) ? $cell->getWorksheet() : null;


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

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

>         $this->debugLog->writeDebugLog('Evaluating formula for cell %s', $wsCellReference);



        if (($wsTitle[0] !== "\x00") && ($this->cyclicReferenceStack->onStack($wsCellReference))) {
            if ($this->cyclicFormulaCount <= 0) {
                $this->cyclicFormulaCell = '';

                return $this->raiseFormulaError('Cyclic Reference in Formula');
            } elseif ($this->cyclicFormulaCell === $wsCellReference) {
                ++$this->cyclicFormulaCounter;
                if ($this->cyclicFormulaCounter >= $this->cyclicFormulaCount) {
                    $this->cyclicFormulaCell = '';

                    return $cellValue;
                }
            } elseif ($this->cyclicFormulaCell == '') {
                if ($this->cyclicFormulaCounter >= $this->cyclicFormulaCount) {
                    return $cellValue;
                }
                $this->cyclicFormulaCell = $wsCellReference;
            }
        }


>         $this->debugLog->writeDebugLog('Formula for cell %s is %s', $wsCellReference, $formula);


        //    Parse the formula onto the token stack and calculate the value
        $this->cyclicReferenceStack->push($wsCellReference);

<         $cellValue = $this->processTokenStack($this->_parseFormula($formula, $pCell), $cellID, $pCell);



> 
>         $cellValue = $this->processTokenStack($this->internalParseFormula($formula, $cell), $cellID, $cell);


        $this->cyclicReferenceStack->pop();

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

        //    Return the calculated value
        return $cellValue;
    }

    /**
     * Ensure that paired matrix operands are both matrices and of the same size.
     *

<      * @param mixed &$operand1 First matrix operand
<      * @param mixed &$operand2 Second matrix operand



>      * @param mixed $operand1 First matrix operand
>      * @param mixed $operand2 Second matrix operand


     * @param int $resize Flag indicating whether the matrices should be resized to match
     *                                        and (if so), whether the smaller dimension should grow or the
     *                                        larger should shrink.
     *                                            0 = no resize
     *                                            1 = shrink to fit
     *                                            2 = extend to fit
     *
     * @return array
     */
    private static function checkMatrixOperands(&$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)) {
            [$matrixRows, $matrixColumns] = self::getMatrixDimensions($operand2);
            $operand1 = array_fill(0, $matrixRows, array_fill(0, $matrixColumns, $operand1));
            $resize = 0;
        } elseif (!is_array($operand2)) {
            [$matrixRows, $matrixColumns] = self::getMatrixDimensions($operand1);
            $operand2 = array_fill(0, $matrixRows, array_fill(0, $matrixColumns, $operand2));
            $resize = 0;
        }

        [$matrix1Rows, $matrix1Columns] = self::getMatrixDimensions($operand1);
        [$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 [$matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns];
    }

    /**
     * Read the dimensions of a matrix, and re-index it with straight numeric keys starting from row 0, column 0.
     *

<      * @param array &$matrix matrix operand



>      * @param array $matrix matrix operand


     *
     * @return int[] An array comprising the number of rows, and number of columns
     */
    public static function getMatrixDimensions(array &$matrix)
    {
        $matrixRows = count($matrix);
        $matrixColumns = 0;
        foreach ($matrix as $rowKey => $rowValue) {
            if (!is_array($rowValue)) {
                $matrix[$rowKey] = [$rowValue];
                $matrixColumns = max(1, $matrixColumns);
            } else {
                $matrix[$rowKey] = array_values($rowValue);
                $matrixColumns = max(count($rowValue), $matrixColumns);
            }
        }
        $matrix = array_values($matrix);

        return [$matrixRows, $matrixColumns];
    }

    /**
     * Ensure that paired matrix operands are both matrices of the same size.
     *

<      * @param mixed &$matrix1 First matrix operand
<      * @param mixed &$matrix2 Second matrix operand



>      * @param mixed $matrix1 First matrix operand
>      * @param mixed $matrix2 Second matrix operand


     * @param int $matrix1Rows Row size of first matrix operand
     * @param int $matrix1Columns Column size of first matrix operand
     * @param int $matrix2Rows Row size of second matrix operand
     * @param int $matrix2Columns Column size of second matrix operand
     */

<     private static function resizeMatricesShrink(&$matrix1, &$matrix2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns)



>     private static function resizeMatricesShrink(&$matrix1, &$matrix2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns): void


    {
        if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows)) {
            if ($matrix2Rows < $matrix1Rows) {
                for ($i = $matrix2Rows; $i < $matrix1Rows; ++$i) {
                    unset($matrix1[$i]);
                }
            }
            if ($matrix2Columns < $matrix1Columns) {
                for ($i = 0; $i < $matrix1Rows; ++$i) {
                    for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j) {
                        unset($matrix1[$i][$j]);
                    }
                }
            }
        }

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

    /**
     * Ensure that paired matrix operands are both matrices of the same size.
     *

<      * @param mixed &$matrix1 First matrix operand
<      * @param mixed &$matrix2 Second matrix operand



>      * @param mixed $matrix1 First matrix operand
>      * @param mixed $matrix2 Second matrix operand


     * @param int $matrix1Rows Row size of first matrix operand
     * @param int $matrix1Columns Column size of first matrix operand
     * @param int $matrix2Rows Row size of second matrix operand
     * @param int $matrix2Columns Column size of second matrix operand
     */

<     private static function resizeMatricesExtend(&$matrix1, &$matrix2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns)



>     private static function resizeMatricesExtend(&$matrix1, &$matrix2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns): void


    {
        if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows)) {
            if ($matrix2Columns < $matrix1Columns) {
                for ($i = 0; $i < $matrix2Rows; ++$i) {
                    $x = $matrix2[$i][$matrix2Columns - 1];
                    for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j) {
                        $matrix2[$i][$j] = $x;
                    }
                }
            }
            if ($matrix2Rows < $matrix1Rows) {
                $x = $matrix2[$matrix2Rows - 1];
                for ($i = 0; $i < $matrix1Rows; ++$i) {
                    $matrix2[$i] = $x;
                }
            }
        }

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

    /**
     * Format details of an operand for display in the log (based on operand type).
     *
     * @param mixed $value First matrix operand
     *
     * @return mixed
     */
    private function showValue($value)
    {
        if ($this->debugLog->getWriteDebugLog()) {
            $testArray = Functions::flattenArray($value);
            if (count($testArray) == 1) {
                $value = array_pop($testArray);
            }

            if (is_array($value)) {
                $returnMatrix = [];
                $pad = $rpad = ', ';
                foreach ($value as $row) {
                    if (is_array($row)) {
                        $returnMatrix[] = implode($pad, array_map([$this, 'showValue'], $row));
                        $rpad = '; ';
                    } else {
                        $returnMatrix[] = $this->showValue($row);
                    }
                }

                return '{ ' . implode($rpad, $returnMatrix) . ' }';

<             } elseif (is_string($value) && (trim($value, '"') == $value)) {
<                 return '"' . $value . '"';



>             } elseif (is_string($value) && (trim($value, self::FORMULA_STRING_QUOTE) == $value)) {
>                 return self::FORMULA_STRING_QUOTE . $value . self::FORMULA_STRING_QUOTE;


            } elseif (is_bool($value)) {
                return ($value) ? self::$localeBoolean['TRUE'] : self::$localeBoolean['FALSE'];

>             } elseif ($value === null) {
            }
>                 return self::$localeBoolean['NULL'];


        }

        return Functions::flattenSingleValue($value);
    }

    /**
     * Format type and details of an operand for display in the log (based on operand type).
     *
     * @param mixed $value First matrix operand
     *
     * @return null|string
     */
    private function showTypeDetails($value)
    {
        if ($this->debugLog->getWriteDebugLog()) {
            $testArray = Functions::flattenArray($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';
                }
                $typeString = 'a string';
            }

            return $typeString . ' with a value of ' . $this->showValue($value);
        }

> 
    }
>         return null;



    /**
     * @param string $formula
     *

<      * @return string



>      * @return false|string False indicates an error


     */
    private function convertMatrixReferences($formula)
    {

<         static $matrixReplaceFrom = ['{', ';', '}'];



>         static $matrixReplaceFrom = [self::FORMULA_OPEN_MATRIX_BRACE, ';', self::FORMULA_CLOSE_MATRIX_BRACE];


        static $matrixReplaceTo = ['MKMATRIX(MKMATRIX(', '),MKMATRIX(', '))'];

        //    Convert any Excel matrix references to the MKMATRIX() function

<         if (strpos($formula, '{') !== false) {



>         if (strpos($formula, self::FORMULA_OPEN_MATRIX_BRACE) !== 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) {



>             if (strpos($formula, self::FORMULA_STRING_QUOTE) !== 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);



>                 $temp = explode(self::FORMULA_STRING_QUOTE, $formula);


                //    Open and Closed counts used for trapping mismatched braces in the formula
                $openCount = $closeCount = 0;

<                 $i = false;



>                 $notWithinQuotes = false;


                foreach ($temp as &$value) {
                    //    Only count/replace in alternating array entries

<                     if ($i = !$i) {
<                         $openCount += substr_count($value, '{');
<                         $closeCount += substr_count($value, '}');



>                     $notWithinQuotes = !$notWithinQuotes;
>                     if ($notWithinQuotes === true) {
>                         $openCount += substr_count($value, self::FORMULA_OPEN_MATRIX_BRACE);
>                         $closeCount += substr_count($value, self::FORMULA_CLOSE_MATRIX_BRACE);


                        $value = str_replace($matrixReplaceFrom, $matrixReplaceTo, $value);
                    }
                }
                unset($value);
                //    Then rebuild the formula string

<                 $formula = implode('"', $temp);



>                 $formula = implode(self::FORMULA_STRING_QUOTE, $temp);


            } else {
                //    If there's no quoted strings, then we do a simple count/replace

<                 $openCount = substr_count($formula, '{');
<                 $closeCount = substr_count($formula, '}');



>                 $openCount = substr_count($formula, self::FORMULA_OPEN_MATRIX_BRACE);
>                 $closeCount = substr_count($formula, self::FORMULA_CLOSE_MATRIX_BRACE);


                $formula = str_replace($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 '}'");
                }

                return $this->raiseFormulaError("Formula Error: Unexpected '}' encountered");
            } elseif ($openCount > $closeCount) {
                if ($closeCount > 0) {
                    return $this->raiseFormulaError("Formula Error: Mismatched matrix braces '{'");
                }

                return $this->raiseFormulaError("Formula Error: Unexpected '{' encountered");
            }
        }

        return $formula;
    }


<     private static function mkMatrix(...$args)
<     {
<         return $args;
<     }
< 


    //    Binary Operators
    //    These operators always work on two values
    //    Array key is the operator, the value indicates whether this is a left or right associative operator
    private static $operatorAssociativity = [
        '^' => 0, //    Exponentiation
        '*' => 0, '/' => 0, //    Multiplication and Division
        '+' => 0, '-' => 0, //    Addition and Subtraction
        '&' => 0, //    Concatenation

<         '|' => 0, ':' => 0, //    Intersect and Range



>         '∪' => 0, '∩' => 0, ':' => 0, //    Union, 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 = ['>' => 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 = [

<         ':' => 8, //    Range
<         '|' => 7, //    Intersect



>         ':' => 9, //    Range
>         '∩' => 8, //    Intersect
>         '∪' => 7, //    Union


        '~' => 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

    /**
     * @param string $formula

<      * @param null|\PhpOffice\PhpSpreadsheet\Cell\Cell $pCell


     *

<      * @return bool



>      * @return array<int, mixed>|false


     */

<     private function _parseFormula($formula, Cell $pCell = null)



>     private function internalParseFormula($formula, ?Cell $cell = 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;



>         $pCellParent = ($cell !== null) ? $cell->getWorksheet() : null;




<         $regexpMatchString = '/^(' . self::CALCULATION_REGEXP_FUNCTION .



>         $regexpMatchString = '/^(' . self::CALCULATION_REGEXP_STRING .
>                                 '|' . self::CALCULATION_REGEXP_FUNCTION .


                                '|' . self::CALCULATION_REGEXP_CELLREF .

>                                 '|' . self::CALCULATION_REGEXP_COLUMN_RANGE .
                                '|' . self::CALCULATION_REGEXP_NUMBER .
>                                 '|' . self::CALCULATION_REGEXP_ROW_RANGE .



<                                 '|' . self::CALCULATION_REGEXP_STRING .


                                '|' . self::CALCULATION_REGEXP_OPENBRACE .

<                                 '|' . self::CALCULATION_REGEXP_NAMEDRANGE .



>                                 '|' . self::CALCULATION_REGEXP_DEFINEDNAME .


                                '|' . self::CALCULATION_REGEXP_ERROR .

<                                 ')/si';



>                                 ')/sui';



        //    Start with initialisation
        $index = 0;

<         $stack = new Stack();



>         $stack = new Stack($this->branchPruner);


        $output = [];
        $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


<         // IF branch pruning
<         // currently pending storeKey (last item of the storeKeysStack
<         $pendingStoreKey = null;
<         // stores a list of storeKeys (string[])
<         $pendingStoreKeysStack = [];
<         $expectingConditionMap = []; // ['storeKey' => true, ...]
<         $expectingThenMap = []; // ['storeKey' => true, ...]
<         $expectingElseMap = []; // ['storeKey' => true, ...]
<         $parenthesisDepthMap = []; // ['storeKey' => 4, ...]
< 


        //    The guts of the lexical parser
        //    Loop through the formula extracting each operator and operand in turn
        while (true) {
            // Branch pruning: we adapt the output item to the context (it will
            // be used to limit its computation)

<             $currentCondition = null;
<             $currentOnlyIf = null;
<             $currentOnlyIfNot = null;
<             $previousStoreKey = null;
<             $pendingStoreKey = end($pendingStoreKeysStack);
< 
<             if ($this->branchPruningEnabled) {
<                 // this is a condition ?
<                 if (isset($expectingConditionMap[$pendingStoreKey]) && $expectingConditionMap[$pendingStoreKey]) {
<                     $currentCondition = $pendingStoreKey;
<                     $stackDepth = count($pendingStoreKeysStack);
<                     if ($stackDepth > 1) { // nested if
<                         $previousStoreKey = $pendingStoreKeysStack[$stackDepth - 2];
<                     }
<                 }
<                 if (isset($expectingThenMap[$pendingStoreKey]) && $expectingThenMap[$pendingStoreKey]) {
<                     $currentOnlyIf = $pendingStoreKey;
<                 } elseif (isset($previousStoreKey)) {
<                     if (isset($expectingThenMap[$previousStoreKey]) && $expectingThenMap[$previousStoreKey]) {
<                         $currentOnlyIf = $previousStoreKey;
<                     }
<                 }
<                 if (isset($expectingElseMap[$pendingStoreKey]) && $expectingElseMap[$pendingStoreKey]) {
<                     $currentOnlyIfNot = $pendingStoreKey;
<                 } elseif (isset($previousStoreKey)) {
<                     if (isset($expectingElseMap[$previousStoreKey]) && $expectingElseMap[$previousStoreKey]) {
<                         $currentOnlyIfNot = $previousStoreKey;
<                     }
<                 }
<             }



>             $this->branchPruner->initialiseForLoop();



            $opCharacter = $formula[$index]; //    Get the first character of the value at the current index position

> 


            if ((isset(self::$comparisonOperators[$opCharacter])) && (strlen($formula) > $index) && (isset(self::$comparisonOperators[$formula[$index + 1]]))) {
                $opCharacter .= $formula[++$index];
            }

< 


            //    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);



>             $isOperandOrFunction = (bool) preg_match($regexpMatchString, substr($formula, $index), $match);




>             $expectingOperatorCopy = $expectingOperator;


            if ($opCharacter == '-' && !$expectingOperator) {                //    Is it a negation instead of a minus?
                //    Put a negation on the stack

<                 $stack->push('Unary Operator', '~', null, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



>                 $stack->push('Unary Operator', '~');


                ++$index; //        and drop the negation symbol
            } elseif ($opCharacter == '%' && $expectingOperator) {
                //    Put a percentage on the stack

<                 $stack->push('Unary Operator', '%', null, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



>                 $stack->push('Unary Operator', '%');


                ++$index;
            } elseif ($opCharacter == '+' && !$expectingOperator) {            //    Positive (unary plus rather than binary operator plus) can be discarded?
                ++$index; //    Drop the redundant plus symbol

<             } elseif ((($opCharacter == '~') || ($opCharacter == '|')) && (!$isOperandOrFunction)) {    //    We have to explicitly deny a tilde or pipe, because they are legal



>             } elseif ((($opCharacter == '~') || ($opCharacter == '∩') || ($opCharacter == '∪')) && (!$isOperandOrFunction)) {    //    We have to explicitly deny a tilde, union or intersect 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) && $expectingOperator) {    //    Are we putting an operator on the stack?
<                 while ($stack->count() > 0 &&



>             } elseif ((isset(self::$operators[$opCharacter]) || $isOperandOrFunction) && $expectingOperator) {    //    Are we putting an operator on the stack?
>                 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']])) {



>                     @(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
                }

                //    Finally put our current operator onto the stack

<                 $stack->push('Binary Operator', $opCharacter, null, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



>                 $stack->push('Binary Operator', $opCharacter);



                ++$index;
                $expectingOperator = false;
            } elseif ($opCharacter == ')' && $expectingOperator) {            //    Are we expecting to close a parenthesis?
                $expectingOperand = false;

<                 while (($o2 = $stack->pop()) && $o2['value'] != '(') {        //    Pop off the stack back to the last (



>                 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 ")"');
                    }
                    $output[] = $o2;
                }
                $d = $stack->last(2);

                // Branch pruning we decrease the depth whether is it a function
                // call or a parenthesis

<                 if (!empty($pendingStoreKey)) {
<                     $parenthesisDepthMap[$pendingStoreKey] -= 1;
<                 }



>                 $this->branchPruner->decrementDepth();




<                 if (is_array($d) && preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/i', $d['value'], $matches)) {    //    Did this parenthesis just close a function?
<                     if (!empty($pendingStoreKey) && $parenthesisDepthMap[$pendingStoreKey] == -1) {
<                         // we are closing an IF(
<                         if ($d['value'] != 'IF(') {
<                             return $this->raiseFormulaError('Parser bug we should be in an "IF("');
<                         }
<                         if ($expectingConditionMap[$pendingStoreKey]) {
<                             return $this->raiseFormulaError('We should not be expecting a condition');
<                         }
<                         $expectingThenMap[$pendingStoreKey] = false;
<                         $expectingElseMap[$pendingStoreKey] = false;
<                         $parenthesisDepthMap[$pendingStoreKey] -= 1;
<                         array_pop($pendingStoreKeysStack);
<                         unset($pendingStoreKey);



>                 if (is_array($d) && preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/miu', $d['value'], $matches)) {
>                     //    Did this parenthesis just close a function?
>                     try {
>                         $this->branchPruner->closingBrace($d['value']);
>                     } catch (Exception $e) {
>                         return $this->raiseFormulaError($e->getMessage());


                    }

                    $functionName = $matches[1]; //    Get the function name
                    $d = $stack->pop();

<                     $argumentCount = $d['value']; //    See how many arguments there were (argument count is the next value stored on the stack)



>                     $argumentCount = $d['value'] ?? 0; //    See how many arguments there were (argument count is the next value stored on the stack)


                    $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])) {
                        $expectedArgumentCount = self::$controlFunctions[$functionName]['argumentCount'];
                        $functionCall = self::$controlFunctions[$functionName]['functionCall'];
                    } elseif (isset(self::$phpSpreadsheetFunctions[$functionName])) {
                        $expectedArgumentCount = self::$phpSpreadsheetFunctions[$functionName]['argumentCount'];
                        $functionCall = self::$phpSpreadsheetFunctions[$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;

>                     $expectedArgumentCountString = null;


                    if (is_numeric($expectedArgumentCount)) {
                        if ($expectedArgumentCount < 0) {
                            if ($argumentCount > abs($expectedArgumentCount)) {
                                $argumentCountError = true;
                                $expectedArgumentCountString = 'no more than ' . abs($expectedArgumentCount);
                            }
                        } else {
                            if ($argumentCount != $expectedArgumentCount) {
                                $argumentCountError = true;
                                $expectedArgumentCountString = $expectedArgumentCount;
                            }
                        }
                    } elseif ($expectedArgumentCount != '*') {
                        $isOperandOrFunction = preg_match('/(\d*)([-+,])(\d*)/', $expectedArgumentCount, $argMatch);
                        switch ($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?

<                 if (!empty($pendingStoreKey) &&
<                     $parenthesisDepthMap[$pendingStoreKey] == 0
<                 ) {
<                     // We must go to the IF next argument
<                     if ($expectingConditionMap[$pendingStoreKey]) {
<                         $expectingConditionMap[$pendingStoreKey] = false;
<                         $expectingThenMap[$pendingStoreKey] = true;
<                     } elseif ($expectingThenMap[$pendingStoreKey]) {
<                         $expectingThenMap[$pendingStoreKey] = false;
<                         $expectingElseMap[$pendingStoreKey] = true;
<                     } elseif ($expectingElseMap[$pendingStoreKey]) {
<                         return $this->raiseFormulaError('Reaching fourth argument of an IF');
<                     }



>                 try {
>                     $this->branchPruner->argumentSeparator();
>                 } catch (Exception $e) {
>                     return $this->raiseFormulaError($e->getMessage());


                }

<                 while (($o2 = $stack->pop()) && $o2['value'] != '(') {        //    Pop off the stack back to the last (



> 
>                 while (($o2 = $stack->pop()) && $o2['value'] !== '(') {        //    Pop off the stack back to the last (


                    if ($o2 === null) {
                        return $this->raiseFormulaError('Formula Error: Unexpected ,');
                    }
                    $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)) {

<                     $output[] = ['type' => 'NULL Value', 'value' => self::$excelConstants['NULL'], 'reference' => null];



>                     $output[] = ['type' => 'Empty Argument', 'value' => self::$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)) {



>                 if (!preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/miu', $d['value'] ?? '', $matches)) {
>                     // Can we inject a dummy function at this point so that the braces at least have some context
>                     //     because at least the braces are paired up (at this stage in the formula)
>                     // MS Excel allows this if the content is cell references; but doesn't allow actual values,
>                     //    but at this point, we can't differentiate (so allow both)


                    return $this->raiseFormulaError('Formula Error: Unexpected ,');
                }

> 
                $d = $stack->pop();
>                 /** @var array $d */



<                 $itemStoreKey = $d['storeKey'] ?? null;
<                 $itemOnlyIf = $d['onlyIf'] ?? null;
<                 $itemOnlyIfNot = $d['onlyIfNot'] ?? null;
<                 $stack->push($d['type'], ++$d['value'], $d['reference'], $itemStoreKey, $itemOnlyIf, $itemOnlyIfNot); // increment the argument count
<                 $stack->push('Brace', '(', null, $itemStoreKey, $itemOnlyIf, $itemOnlyIfNot); // put the ( back on, we'll need to pop back to it again



>                 ++$d['value']; // increment the argument count
> 
>                 $stack->pushStackItem($d);
>                 $stack->push('Brace', '('); // put the ( back on, we'll need to pop back to it again
> 


                $expectingOperator = false;
                $expectingOperand = true;
                ++$index;
            } elseif ($opCharacter == '(' && !$expectingOperator) {

<                 if (!empty($pendingStoreKey)) { // Branch pruning: we go deeper
<                     $parenthesisDepthMap[$pendingStoreKey] += 1;
<                 }
<                 $stack->push('Brace', '(', null, $currentCondition, $currentOnlyIf, $currentOnlyIf);



>                 // Branch pruning: we go deeper
>                 $this->branchPruner->incrementDepth();
>                 $stack->push('Brace', '(', null);


                ++$index;

<             } elseif ($isOperandOrFunction && !$expectingOperator) {    // do we now have a function/variable/number?



>             } elseif ($isOperandOrFunction && !$expectingOperatorCopy) {    // do we now have a function/variable/number?


                $expectingOperator = true;
                $expectingOperand = false;
                $val = $match[1];
                $length = strlen($val);


<                 if (preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/i', $val, $matches)) {
<                     $val = preg_replace('/\s/u', '', $val);



>                 if (preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/miu', $val, $matches)) {
>                     $val = (string) preg_replace('/\s/u', '', $val);


                    if (isset(self::$phpSpreadsheetFunctions[strtoupper($matches[1])]) || isset(self::$controlFunctions[strtoupper($matches[1])])) {    // it's a function
                        $valToUpper = strtoupper($val);

>                     } else {
                        // here $matches[1] will contain values like "IF"
>                         $valToUpper = 'NAME.ERROR(';
                        // and $val "IF("
>                     }



<                         if ($this->branchPruningEnabled && ($valToUpper == 'IF(')) { // we handle a new if
<                             $pendingStoreKey = $this->getUnusedBranchStoreKey();
<                             $pendingStoreKeysStack[] = $pendingStoreKey;
<                             $expectingConditionMap[$pendingStoreKey] = true;
<                             $parenthesisDepthMap[$pendingStoreKey] = 0;
<                         } else { // this is not a if but we good deeper
<                             if (!empty($pendingStoreKey) && array_key_exists($pendingStoreKey, $parenthesisDepthMap)) {
<                                 $parenthesisDepthMap[$pendingStoreKey] += 1;
<                             }
<                         }




<                         $stack->push('Function', $valToUpper, null, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



>                     $this->branchPruner->functionCall($valToUpper);
> 
>                     $stack->push('Function', $valToUpper);


                        // tests if the function is closed right after opening

<                         $ax = preg_match('/^\s*(\s*\))/ui', substr($formula, $index + $length), $amatch);



>                     $ax = preg_match('/^\s*\)/u', substr($formula, $index + $length));


                        if ($ax) {

<                             $stack->push('Operand Count for Function ' . $valToUpper . ')', 0, null, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



>                         $stack->push('Operand Count for Function ' . $valToUpper . ')', 0);


                            $expectingOperator = true;
                        } else {

<                             $stack->push('Operand Count for Function ' . $valToUpper . ')', 1, null, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



>                         $stack->push('Operand Count for Function ' . $valToUpper . ')', 1);


                            $expectingOperator = false;
                        }
                        $stack->push('Brace', '(');

<                     } else {    // it's a var w/ implicit multiplication
<                         $output[] = ['type' => 'Value', 'value' => $matches[1], 'reference' => null];
<                     }
<                 } elseif (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/i', $val, $matches)) {



>                 } elseif (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/miu', $val, $matches)) {


                    //    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 !== null && $testPrevOp['value'] == ':') {



>                     if ($testPrevOp !== null && $testPrevOp['value'] === ':') {


                        //    If we have a worksheet reference, then we're playing with a 3D reference

<                         if ($matches[2] == '') {



>                         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;



>                             $rangeStartCellRef = $output[count($output) - 1]['value'];
>                             if ($rangeStartCellRef === ':') {
>                                 // Do we have chained range operators?
>                                 $rangeStartCellRef = $output[count($output) - 2]['value'];
>                             }
>                             preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/miu', $rangeStartCellRef, $rangeStartMatches);
>                             if ($rangeStartMatches[2] > '') {
>                                 $val = $rangeStartMatches[2] . '!' . $val;
>                             }
>                         } else {
>                             $rangeStartCellRef = $output[count($output) - 1]['value'];
>                             if ($rangeStartCellRef === ':') {
>                                 // Do we have chained range operators?
>                                 $rangeStartCellRef = $output[count($output) - 2]['value'];


                            }

<                         } else {



>                             preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/miu', $rangeStartCellRef, $rangeStartMatches);
>                             if ($rangeStartMatches[2] !== $matches[2]) {


                            return $this->raiseFormulaError('3D Range references are not yet supported');
                        }
                    }

< 
<                     $outputItem = $stack->getStackItem('Cell Reference', $val, $val, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



>                     } elseif (strpos($val, '!') === false && $pCellParent !== null) {
>                         $worksheet = $pCellParent->getTitle();
>                         $val = "'{$worksheet}'!{$val}";
>                     }
>                     // unescape any apostrophes or double quotes in worksheet name
>                     $val = str_replace(["''", '""'], ["'", '"'], $val);
>                     $outputItem = $stack->getStackItem('Cell Reference', $val, $val);



                    $output[] = $outputItem;
                } else {    // it's a variable, constant, string, number or boolean

>                     $localeConstant = false;
                    //    If the last entry on the stack was a : operator, then we may have a row or column range reference
>                     $stackItemType = 'Value';
                    $testPrevOp = $stack->last(1);
>                     $stackItemReference = null;
                    if ($testPrevOp !== null && $testPrevOp['value'] === ':') {
> 


                        $startRowColRef = $output[count($output) - 1]['value'];

>                         $stackItemType = 'Cell Reference';
                        [$rangeWS1, $startRowColRef] = Worksheet::extractSheetTitle($startRowColRef, true);
> 
                        $rangeSheetRef = $rangeWS1;
>                         if (
                        if ($rangeWS1 != '') {
>                             !is_numeric($val) &&
                            $rangeWS1 .= '!';
>                             ((ctype_alpha($val) === false || strlen($val) > 3)) &&
                        }
>                             (preg_match('/^' . self::CALCULATION_REGEXP_DEFINEDNAME . '$/mui', $val) !== false) &&
                        [$rangeWS2, $val] = Worksheet::extractSheetTitle($val, true);
>                             ($this->spreadsheet->getNamedRange($val) !== null)
                        if ($rangeWS2 != '') {
>                         ) {
                            $rangeWS2 .= '!';
>                             $namedRange = $this->spreadsheet->getNamedRange($val);
                        } else {
>                             if ($namedRange !== null) {
                            $rangeWS2 = $rangeWS1;
>                                 $stackItemType = 'Defined Name';
                        }
>                                 $address = str_replace('$', '', $namedRange->getValue());
                        $refSheet = $pCellParent;
>                                 $stackItemReference = $val;
                        if ($pCellParent !== null && $rangeSheetRef !== $pCellParent->getTitle()) {
>                                 if (strpos($address, ':') !== false) {
                            $refSheet = $pCellParent->getParent()->getSheetByName($rangeSheetRef);
>                                     // We'll need to manipulate the stack for an actual named range rather than a named cell
                        }
>                                     $fromTo = explode(':', $address);
                        if ((is_int($startRowColRef)) && (ctype_digit($val)) &&
>                                     $to = array_pop($fromTo);
                            ($startRowColRef <= 1048576) && ($val <= 1048576)) {
>                                     foreach ($fromTo as $from) {
                            //    Row range
>                                         $output[] = $stack->getStackItem($stackItemType, $from, $stackItemReference);
                            $endRowColRef = ($refSheet !== null) ? $refSheet->getHighestColumn() : 'XFD'; //    Max 16,384 columns for Excel2007
>                                         $output[] = $stack->getStackItem('Binary Operator', ':');
                            $output[count($output) - 1]['value'] = $rangeWS1 . 'A' . $startRowColRef;
>                                     }
                            $val = $rangeWS2 . $endRowColRef . $val;
>                                     $address = $to;
                        } elseif ((ctype_alpha($startRowColRef)) && (ctype_alpha($val)) &&
>                                 }
                            (strlen($startRowColRef) <= 3) && (strlen($val) <= 3)) {
>                                 $val = $address;
                            //    Column range
>                             }
                            $endRowColRef = ($refSheet !== null) ? $refSheet->getHighestRow() : 1048576; //    Max 1,048,576 rows for Excel2007
>                         } else {



<                         if ($rangeWS1 != '') {



>                             if ($rangeWS1 !== '') {


                            $val = $rangeWS2 . $val . $endRowColRef;

>                             $rangeSheetRef = trim($rangeSheetRef, "'");



<                         if ($rangeWS2 != '') {



>                             if ($rangeWS2 !== '') {


                    }

> 



<                         if ($pCellParent !== null && $rangeSheetRef !== $pCellParent->getTitle()) {



>                             if ($pCellParent !== null && $rangeSheetRef !== '' && $rangeSheetRef !== $pCellParent->getTitle()) {



<                         if ((is_int($startRowColRef)) && (ctype_digit($val)) &&
<                             ($startRowColRef <= 1048576) && ($val <= 1048576)) {



> 
>                             if (ctype_digit($val) && $val <= 1048576) {



<                             $endRowColRef = ($refSheet !== null) ? $refSheet->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)) {



>                                 $stackItemType = 'Row Reference';
>                                 /** @var int $valx */
>                                 $valx = $val;
>                                 $endRowColRef = ($refSheet !== null) ? $refSheet->getHighestDataColumn($valx) : 'XFD'; //    Max 16,384 columns for Excel2007
>                                 $val = "{$rangeWS2}{$endRowColRef}{$val}";
>                             } elseif (ctype_alpha($val) && strlen($val) <= 3) {



<                             $endRowColRef = ($refSheet !== null) ? $refSheet->getHighestRow() : 1048576; //    Max 1,048,576 rows for Excel2007
<                             $output[count($output) - 1]['value'] = $rangeWS1 . strtoupper($startRowColRef) . '1';
<                             $val = $rangeWS2 . $val . $endRowColRef;



>                                 $stackItemType = 'Column Reference';
>                                 $endRowColRef = ($refSheet !== null) ? $refSheet->getHighestDataRow($val) : 1048576; //    Max 1,048,576 rows for Excel2007
>                                 $val = "{$rangeWS2}{$val}{$endRowColRef}";


                    } elseif (isset(self::$excelConstants[trim(strtoupper($val))])) {

>                             $stackItemReference = $val;



< 
<                     $localeConstant = false;
<                     if ($opCharacter == '"') {



>                     } elseif ($opCharacter == self::FORMULA_STRING_QUOTE) {



<                         $val = self::wrapResult(str_replace('""', '"', self::unwrapResult($val)));



>                         $val = self::wrapResult(str_replace('""', self::FORMULA_STRING_QUOTE, self::unwrapResult($val)));
>                     } elseif (isset(self::$excelConstants[trim(strtoupper($val))])) {
>                         $stackItemType = 'Constant';
>                         $excelConstant = trim(strtoupper($val));
>                         $val = self::$excelConstants[$excelConstant];
>                     } elseif (($localeConstant = array_search(trim(strtoupper($val)), self::$localeBoolean)) !== false) {
>                         $stackItemType = 'Constant';
>                         $val = self::$excelConstants[$localeConstant];
>                     } elseif (
>                         preg_match('/^' . self::CALCULATION_REGEXP_ROW_RANGE . '/miu', substr($formula, $index), $rowRangeReference)
>                     ) {
>                         $val = $rowRangeReference[1];
>                         $length = strlen($rowRangeReference[1]);
>                         $stackItemType = 'Row Reference';
>                         // unescape any apostrophes or double quotes in worksheet name
>                         $val = str_replace(["''", '""'], ["'", '"'], $val);
>                         $column = 'A';
>                         if (($testPrevOp !== null && $testPrevOp['value'] === ':') && $pCellParent !== null) {
>                             $column = $pCellParent->getHighestDataColumn($val);
>                         }
>                         $val = "{$rowRangeReference[2]}{$column}{$rowRangeReference[7]}";
>                         $stackItemReference = $val;
>                     } elseif (
>                         preg_match('/^' . self::CALCULATION_REGEXP_COLUMN_RANGE . '/miu', substr($formula, $index), $columnRangeReference)
>                     ) {
>                         $val = $columnRangeReference[1];
>                         $length = strlen($val);
>                         $stackItemType = 'Column Reference';
>                         // unescape any apostrophes or double quotes in worksheet name
>                         $val = str_replace(["''", '""'], ["'", '"'], $val);
>                         $row = '1';
>                         if (($testPrevOp !== null && $testPrevOp['value'] === ':') && $pCellParent !== null) {
>                             $row = $pCellParent->getHighestDataRow($val);
>                         }
>                         $val = "{$val}{$row}";
>                         $stackItemReference = $val;
>                     } elseif (preg_match('/^' . self::CALCULATION_REGEXP_DEFINEDNAME . '.*/miu', $val, $match)) {
>                         $stackItemType = 'Defined Name';
>                         $stackItemReference = $val;



<                     } elseif (isset(self::$excelConstants[trim(strtoupper($val))])) {
<                         $excelConstant = trim(strtoupper($val));
<                         $val = self::$excelConstants[$excelConstant];
<                     } elseif (($localeConstant = array_search(trim(strtoupper($val)), self::$localeBoolean)) !== false) {
<                         $val = self::$excelConstants[$localeConstant];



<                     $details = $stack->getStackItem('Value', $val, null, $currentCondition, $currentOnlyIf, $currentOnlyIfNot);



> 
>                     $details = $stack->getStackItem($stackItemType, $val, $stackItemReference);


                }
                $index += $length;
            } elseif ($opCharacter == '$') {    // absolute row or column range
                ++$index;
            } elseif ($opCharacter == ')') {    // miscellaneous error checking
                if ($expectingOperand) {

<                     $output[] = ['type' => 'NULL Value', 'value' => self::$excelConstants['NULL'], 'reference' => null];



>                     $output[] = ['type' => 'Empty Argument', 'value' => self::$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');



>                 return $this->raiseFormulaError('Formula Error: An unexpected error occurred');


            }
            //    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");
                }

                break;
            }
            //    Ignore white space
            while (($formula[$index] == "\n") || ($formula[$index] == "\r")) {
                ++$index;
            }

> 


            if ($formula[$index] == ' ') {

<                 while ($formula[$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

<                 if (($expectingOperator) && (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '.*/Ui', substr($formula, $index), $match)) &&
<                     ($output[count($output) - 1]['type'] == 'Cell Reference')) {
<                     while ($stack->count() > 0 &&



>                 $countOutputMinus1 = count($output) - 1;
>                 if (
>                     ($expectingOperator) &&
>                     array_key_exists($countOutputMinus1, $output) &&
>                     is_array($output[$countOutputMinus1]) &&
>                     array_key_exists('type', $output[$countOutputMinus1]) &&
>                     (
>                         (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '.*/Ui', substr($formula, $index), $match)) &&
>                         ($output[$countOutputMinus1]['type'] === 'Cell Reference') ||
>                         (preg_match('/^' . self::CALCULATION_REGEXP_DEFINEDNAME . '.*/miu', substr($formula, $index), $match)) &&
>                             ($output[$countOutputMinus1]['type'] === 'Defined Name' || $output[$countOutputMinus1]['type'] === 'Value')
>                     )
>                 ) {
>                     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']])) {



>                         @(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



>                     $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



>         while (($op = $stack->pop()) !== null) {
>             // pop everything off the stack and push onto output


            if ((is_array($op) && $op['value'] == '(') || ($op === '(')) {
                return $this->raiseFormulaError("Formula Error: Expecting ')'"); // if there are any opening braces on the stack, then braces were unbalanced
            }
            $output[] = $op;
        }

        return $output;
    }

    private static function dataTestReference(&$operandData)
    {
        $operand = $operandData['value'];
        if (($operandData['reference'] === null) && (is_array($operand))) {
            $rKeys = array_keys($operand);
            $rowKey = array_shift($rKeys);

>             if (is_array($operand[$rowKey]) === false) {
            $cKeys = array_keys(array_keys($operand[$rowKey]));
>                 $operandData['value'] = $operand[$rowKey];
            $colKey = array_shift($cKeys);
> 
            if (ctype_upper($colKey)) {
>                 return $operand[$rowKey];
                $operandData['reference'] = $colKey . $rowKey;
>             }
            }
> 



<             if (ctype_upper($colKey)) {



>             if (ctype_upper("$colKey")) {



        return $operand;
    }

    // evaluate postfix notation

    /**
     * @param mixed $tokens
     * @param null|string $cellID

<      * @param null|Cell $pCell


     *

<      * @return bool



>      * @return array<int, mixed>|false


     */

<     private function processTokenStack($tokens, $cellID = null, Cell $pCell = null)



>     private function processTokenStack($tokens, $cellID = null, ?Cell $cell = null)


    {

<         if ($tokens == false) {



>         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 Stack();



>         $pCellWorksheet = ($cell !== null) ? $cell->getWorksheet() : null;
>         $pCellParent = ($cell !== null) ? $cell->getParent() : null;
>         $stack = new Stack($this->branchPruner);



        // Stores branches that have been pruned
        $fakedForBranchPruning = [];
        // help us to know when pruning ['branchTestId' => true/false]
        $branchStore = [];

< 


        //    Loop through each token in turn
        foreach ($tokens as $tokenData) {
            $token = $tokenData['value'];

< 


            // Branch pruning: skip useless resolutions
            $storeKey = $tokenData['storeKey'] ?? null;
            if ($this->branchPruningEnabled && isset($tokenData['onlyIf'])) {
                $onlyIfStoreKey = $tokenData['onlyIf'];
                $storeValue = $branchStore[$onlyIfStoreKey] ?? null;
                $storeValueAsBool = ($storeValue === null) ?
                    true : (bool) Functions::flattenSingleValue($storeValue);
                if (is_array($storeValue)) {
                    $wrappedItem = end($storeValue);

<                     $storeValue = end($wrappedItem);



>                     $storeValue = is_array($wrappedItem) ? end($wrappedItem) : $wrappedItem;


                }


<                 if (isset($storeValue)
<                     && (
<                         !$storeValueAsBool
<                         || Functions::isError($storeValue)
<                         || ($storeValue === 'Pruned branch')
<                     )



>                 if (
>                     (isset($storeValue) || $tokenData['reference'] === 'NULL')
>                     && (!$storeValueAsBool || ErrorValue::isError($storeValue) || ($storeValue === 'Pruned branch'))


                ) {
                    // If branching value is not true, we don't need to compute
                    if (!isset($fakedForBranchPruning['onlyIf-' . $onlyIfStoreKey])) {
                        $stack->push('Value', 'Pruned branch (only if ' . $onlyIfStoreKey . ') ' . $token);
                        $fakedForBranchPruning['onlyIf-' . $onlyIfStoreKey] = true;
                    }

                    if (isset($storeKey)) {
                        // We are processing an if condition
                        // We cascade the pruning to the depending branches
                        $branchStore[$storeKey] = 'Pruned branch';
                        $fakedForBranchPruning['onlyIfNot-' . $storeKey] = true;
                        $fakedForBranchPruning['onlyIf-' . $storeKey] = true;
                    }

                    continue;
                }
            }

            if ($this->branchPruningEnabled && isset($tokenData['onlyIfNot'])) {
                $onlyIfNotStoreKey = $tokenData['onlyIfNot'];
                $storeValue = $branchStore[$onlyIfNotStoreKey] ?? null;
                $storeValueAsBool = ($storeValue === null) ?
                    true : (bool) Functions::flattenSingleValue($storeValue);
                if (is_array($storeValue)) {
                    $wrappedItem = end($storeValue);

<                     $storeValue = end($wrappedItem);



>                     $storeValue = is_array($wrappedItem) ? end($wrappedItem) : $wrappedItem;


                }

<                 if (isset($storeValue)
<                     && (
<                         $storeValueAsBool
<                         || Functions::isError($storeValue)
<                         || ($storeValue === 'Pruned branch'))



> 
>                 if (
>                     (isset($storeValue) || $tokenData['reference'] === 'NULL')
>                     && ($storeValueAsBool || ErrorValue::isError($storeValue) || ($storeValue === 'Pruned branch'))


                ) {
                    // If branching value is true, we don't need to compute
                    if (!isset($fakedForBranchPruning['onlyIfNot-' . $onlyIfNotStoreKey])) {
                        $stack->push('Value', 'Pruned branch (only if not ' . $onlyIfNotStoreKey . ') ' . $token);
                        $fakedForBranchPruning['onlyIfNot-' . $onlyIfNotStoreKey] = true;
                    }

                    if (isset($storeKey)) {
                        // We are processing an if condition
                        // We cascade the pruning to the depending branches
                        $branchStore[$storeKey] = 'Pruned branch';
                        $fakedForBranchPruning['onlyIfNot-' . $storeKey] = true;
                        $fakedForBranchPruning['onlyIf-' . $storeKey] = true;
                    }

                    continue;
                }
            }

            // 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])) {



>             if (!is_numeric($token) && isset(self::$binaryOperators[$token])) {


                //    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']));



>                     $this->debugLog->writeDebugLog('Evaluating Range %s %s %s', $this->showValue($operand1Data['reference']), $token, $this->showValue($operand2Data['reference']));


                } else {

<                     $this->debugLog->writeDebugLog('Evaluating ', $this->showValue($operand1), ' ', $token, ' ', $this->showValue($operand2));



>                     $this->debugLog->writeDebugLog('Evaluating %s %s %s', $this->showValue($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

<                         $result = $this->executeBinaryComparisonOperation($cellID, $operand1, $operand2, $token, $stack);



>                         $result = $this->executeBinaryComparisonOperation($operand1, $operand2, (string) $token, $stack);


                        if (isset($storeKey)) {
                            $branchStore[$storeKey] = $result;
                        }

                        break;
                    //    Binary Operators
                    case ':':            //    Range

>                         if ($operand1Data['type'] === 'Defined Name') {
                        if (strpos($operand1Data['reference'], '!') !== false) {
>                             if (preg_match('/$' . self::CALCULATION_REGEXP_DEFINEDNAME . '^/mui', $operand1Data['reference']) !== false) {
                            [$sheet1, $operand1Data['reference']] = Worksheet::extractSheetTitle($operand1Data['reference'], true);
>                                 $definedName = $this->spreadsheet->getNamedRange($operand1Data['reference']);
                        } else {
>                                 if ($definedName !== null) {
                            $sheet1 = ($pCellParent !== null) ? $pCellWorksheet->getTitle() : '';
>                                     $operand1Data['reference'] = $operand1Data['value'] = str_replace('$', '', $definedName->getValue());
                        }
>                                 }

>                             }
                        [$sheet2, $operand2Data['reference']] = Worksheet::extractSheetTitle($operand2Data['reference'], true);
>                         }



<                             $sheet1 = ($pCellParent !== null) ? $pCellWorksheet->getTitle() : '';



>                             $sheet1 = ($pCellWorksheet !== null) ? $pCellWorksheet->getTitle() : '';


                            $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();



>                         if (trim($sheet1, "'") === trim($sheet2, "'")) {
>                             if ($operand1Data['reference'] === null && $cell !== null) {
>                                 if (is_array($operand1Data['value'])) {
>                                     $operand1Data['reference'] = $cell->getCoordinate();
>                                 } elseif ((trim($operand1Data['value']) != '') && (is_numeric($operand1Data['value']))) {
>                                     $operand1Data['reference'] = $cell->getColumn() . $operand1Data['value'];
>                                 } elseif (trim($operand1Data['value']) == '') {
>                                     $operand1Data['reference'] = $cell->getCoordinate();
>                                 } else {
>                                     $operand1Data['reference'] = $operand1Data['value'] . $cell->getRow();
>                                 }
>                             }
>                             if ($operand2Data['reference'] === null && $cell !== null) {
>                                 if (is_array($operand2Data['value'])) {
>                                     $operand2Data['reference'] = $cell->getCoordinate();
>                                 } elseif ((trim($operand2Data['value']) != '') && (is_numeric($operand2Data['value']))) {
>                                     $operand2Data['reference'] = $cell->getColumn() . $operand2Data['value'];
>                                 } elseif (trim($operand2Data['value']) == '') {
>                                     $operand2Data['reference'] = $cell->getCoordinate();


                                } else {

<                                     $operand2Data['reference'] = $operand2Data['value'] . $pCell->getRow();



>                                     $operand2Data['reference'] = $operand2Data['value'] . $cell->getRow();


                                }
                            }

                            $oData = array_merge(explode(':', $operand1Data['reference']), explode(':', $operand2Data['reference']));
                            $oCol = $oRow = [];
                            foreach ($oData as $oDatum) {
                                $oCR = Coordinate::coordinateFromString($oDatum);
                                $oCol[] = Coordinate::columnIndexFromString($oCR[0]) - 1;
                                $oRow[] = $oCR[1];
                            }
                            $cellRef = Coordinate::stringFromColumnIndex(min($oCol) + 1) . min($oRow) . ':' . Coordinate::stringFromColumnIndex(max($oCol) + 1) . max($oRow);
                            if ($pCellParent !== null) {
                                $cellValue = $this->extractCellRange($cellRef, $this->spreadsheet->getSheetByName($sheet1), false);
                            } else {
                                return $this->raiseFormulaError('Unable to access Cell Reference');
                            }

> 


                            $stack->push('Cell Reference', $cellValue, $cellRef);
                        } else {

<                             $stack->push('Error', Functions::REF(), null);



>                             $stack->push('Error', Information\ExcelError::REF(), null);


                        }

                        break;
                    case '+':            //    Addition
                        $result = $this->executeNumericBinaryOperation($operand1, $operand2, $token, 'plusEquals', $stack);
                        if (isset($storeKey)) {
                            $branchStore[$storeKey] = $result;
                        }

                        break;
                    case '-':            //    Subtraction
                        $result = $this->executeNumericBinaryOperation($operand1, $operand2, $token, 'minusEquals', $stack);
                        if (isset($storeKey)) {
                            $branchStore[$storeKey] = $result;
                        }

                        break;
                    case '*':            //    Multiplication
                        $result = $this->executeNumericBinaryOperation($operand1, $operand2, $token, 'arrayTimesEquals', $stack);
                        if (isset($storeKey)) {
                            $branchStore[$storeKey] = $result;
                        }

                        break;
                    case '/':            //    Division
                        $result = $this->executeNumericBinaryOperation($operand1, $operand2, $token, 'arrayRightDivide', $stack);
                        if (isset($storeKey)) {
                            $branchStore[$storeKey] = $result;
                        }

                        break;
                    case '^':            //    Exponential
                        $result = $this->executeNumericBinaryOperation($operand1, $operand2, $token, 'power', $stack);
                        if (isset($storeKey)) {
                            $branchStore[$storeKey] = $result;
                        }

                        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
                                $matrix = new Shared\JAMA\Matrix($operand1);
                                //    Perform the required operation against the operand 1 matrix, passing in operand 2
                                $matrixResult = $matrix->concat($operand2);
                                $result = $matrixResult->getArray();

>                                 if (isset($result[0][0])) {
                            } catch (\Exception $ex) {
>                                     $result[0][0] = Shared\StringHelper::substring($result[0][0], 0, DataType::MAX_STRING_LENGTH);
                                $this->debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());
>                                 }



<                                 $this->debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());



>                                 $this->debugLog->writeDebugLog('JAMA Matrix Exception: %s', $ex->getMessage());


                            }
                        } else {

<                             $result = '"' . str_replace('""', '"', self::unwrapResult($operand1) . self::unwrapResult($operand2)) . '"';



>                             // In theory, we should truncate here.
>                             // But I can't figure out a formula
>                             // using the concatenation operator
>                             // with literals that fits in 32K,
>                             // so I don't think we can overflow here.
>                             $result = self::FORMULA_STRING_QUOTE . str_replace('""', self::FORMULA_STRING_QUOTE, self::unwrapResult($operand1) . self::unwrapResult($operand2)) . self::FORMULA_STRING_QUOTE;


                        }

<                         $this->debugLog->writeDebugLog('Evaluation Result is ', $this->showTypeDetails($result));



>                         $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails($result));


                        $stack->push('Value', $result);

                        if (isset($storeKey)) {
                            $branchStore[$storeKey] = $result;
                        }

                        break;

<                     case '|':            //    Intersect



>                     case '∩':            //    Intersect


                        $rowIntersect = array_intersect_key($operand1, $operand2);
                        $cellIntersect = $oCol = $oRow = [];
                        foreach (array_keys($rowIntersect) as $row) {
                            $oRow[] = $row;
                            foreach ($rowIntersect[$row] as $col => $data) {
                                $oCol[] = Coordinate::columnIndexFromString($col) - 1;
                                $cellIntersect[$row] = array_intersect_key($operand1[$row], $operand2[$row]);
                            }
                        }

<                         $cellRef = Coordinate::stringFromColumnIndex(min($oCol) + 1) . min($oRow) . ':' . Coordinate::stringFromColumnIndex(max($oCol) + 1) . max($oRow);
<                         $this->debugLog->writeDebugLog('Evaluation Result is ', $this->showTypeDetails($cellIntersect));



>                         if (count(Functions::flattenArray($cellIntersect)) === 0) {
>                             $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails($cellIntersect));
>                             $stack->push('Error', Functions::null(), null);
>                         } else {
>                             $cellRef = Coordinate::stringFromColumnIndex(min($oCol) + 1) . min($oRow) . ':' .
>                                 Coordinate::stringFromColumnIndex(max($oCol) + 1) . max($oRow);
>                             $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails($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 === '%')) {

>                 // if the token is a unary operator, pop one value off the stack, do the operation, and push it back on


                if (($arg = $stack->pop()) === null) {
                    return $this->raiseFormulaError('Internal error - Operand value missing from stack');
                }
                $arg = $arg['value'];
                if ($token === '~') {

<                     $this->debugLog->writeDebugLog('Evaluating Negation of ', $this->showValue($arg));



>                     $this->debugLog->writeDebugLog('Evaluating Negation of %s', $this->showValue($arg));


                    $multiplier = -1;
                } else {

<                     $this->debugLog->writeDebugLog('Evaluating Percentile of ', $this->showValue($arg));



>                     $this->debugLog->writeDebugLog('Evaluating Percentile of %s', $this->showValue($arg));


                    $multiplier = 0.01;
                }
                if (is_array($arg)) {
                    self::checkMatrixOperands($arg, $multiplier, 2);

                    try {
                        $matrix1 = new Shared\JAMA\Matrix($arg);
                        $matrixResult = $matrix1->arrayTimesEquals($multiplier);
                        $result = $matrixResult->getArray();
                    } catch (\Exception $ex) {

<                         $this->debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());



>                         $this->debugLog->writeDebugLog('JAMA Matrix Exception: %s', $ex->getMessage());


                        $result = '#VALUE!';
                    }

<                     $this->debugLog->writeDebugLog('Evaluation Result is ', $this->showTypeDetails($result));



>                     $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails($result));


                    $stack->push('Value', $result);
                    if (isset($storeKey)) {
                        $branchStore[$storeKey] = $result;
                    }
                } else {
                    $this->executeNumericBinaryOperation($multiplier, $arg, '*', 'arrayTimesEquals', $stack);
                }

<             } elseif (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/i', $token, $matches)) {



>             } elseif (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/i', $token ?? '', $matches)) {


                $cellRef = null;

> 


                if (isset($matches[8])) {

<                     if ($pCell === null) {



>                     if ($cell === null) {


                        //                        We can't access the range, so return a REF error

<                         $cellValue = Functions::REF();



>                         $cellValue = Information\ExcelError::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 spreadsheet (not currently supported)
                                return $this->raiseFormulaError('Unable to access External Workbook');
                            }
                            $matches[2] = trim($matches[2], "\"'");

<                             $this->debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in worksheet ', $matches[2]);



>                             $this->debugLog->writeDebugLog('Evaluating Cell Range %s in worksheet %s', $cellRef, $matches[2]);


                            if ($pCellParent !== null) {
                                $cellValue = $this->extractCellRange($cellRef, $this->spreadsheet->getSheetByName($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));



>                             $this->debugLog->writeDebugLog('Evaluation Result for cells %s in worksheet %s is %s', $cellRef, $matches[2], $this->showTypeDetails($cellValue));


                        } else {

<                             $this->debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in current worksheet');



>                             $this->debugLog->writeDebugLog('Evaluating Cell Range %s in current worksheet', $cellRef);


                            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));



>                             $this->debugLog->writeDebugLog('Evaluation Result for cells %s is %s', $cellRef, $this->showTypeDetails($cellValue));


                        }
                    }
                } else {

<                     if ($pCell === null) {



>                     if ($cell === null) {


                        //                        We can't access the cell, so return a REF error

<                         $cellValue = Functions::REF();



>                         $cellValue = Information\ExcelError::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 spreadsheet (not currently supported)
                                return $this->raiseFormulaError('Unable to access External Workbook');
                            }

<                             $this->debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in worksheet ', $matches[2]);



>                             $this->debugLog->writeDebugLog('Evaluating Cell %s in worksheet %s', $cellRef, $matches[2]);


                            if ($pCellParent !== null) {
                                $cellSheet = $this->spreadsheet->getSheetByName($matches[2]);
                                if ($cellSheet && $cellSheet->cellExists($cellRef)) {
                                    $cellValue = $this->extractCellRange($cellRef, $this->spreadsheet->getSheetByName($matches[2]), false);

<                                     $pCell->attach($pCellParent);



>                                     $cell->attach($pCellParent);


                                } else {

<                                     $cellValue = null;



>                                     $cellRef = ($cellSheet !== null) ? "'{$matches[2]}'!{$cellRef}" : $cellRef;
>                                     $cellValue = ($cellSheet !== null) ? null : Information\ExcelError::REF();


                                }
                            } 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));



>                             $this->debugLog->writeDebugLog('Evaluation Result for cell %s in worksheet %s is %s', $cellRef, $matches[2], $this->showTypeDetails($cellValue));


                        } else {

<                             $this->debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in current worksheet');
<                             if ($pCellParent->has($cellRef)) {



>                             $this->debugLog->writeDebugLog('Evaluating Cell %s in current worksheet', $cellRef);
>                             if ($pCellParent !== null && $pCellParent->has($cellRef)) {


                                $cellValue = $this->extractCellRange($cellRef, $pCellWorksheet, false);

<                                 $pCell->attach($pCellParent);



>                                 $cell->attach($pCellParent);


                            } else {
                                $cellValue = null;
                            }

<                             $this->debugLog->writeDebugLog('Evaluation Result for cell ', $cellRef, ' is ', $this->showTypeDetails($cellValue));



>                             $this->debugLog->writeDebugLog('Evaluation Result for cell %s is %s', $cellRef, $this->showTypeDetails($cellValue));


                        }
                    }
                }

<                 $stack->push('Value', $cellValue, $cellRef);



> 
>                 $stack->push('Cell Value', $cellValue, $cellRef);


                if (isset($storeKey)) {
                    $branchStore[$storeKey] = $cellValue;
                }

< 



>             } elseif (preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/miu', $token ?? '', $matches)) {


                // 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)) {


                if ($pCellParent) {

<                     $pCell->attach($pCellParent);
<                 }
<                 if (($cellID == 'AC99') || (isset($pCell) && $pCell->getCoordinate() == 'AC99')) {
<                     if (defined('RESOLVING')) {
<                         define('RESOLVING2', true);
<                     } else {
<                         define('RESOLVING', true);
<                     }



>                     $cell->attach($pCellParent);


                }

                $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 ($functionName !== 'MKMATRIX') {
>                     $this->debugLog->writeDebugLog('Evaluating Function %s() with %s argument%s', self::localeFunc($functionName), (($argCount == 0) ? 'no' : $argCount), (($argCount == 1) ? '' : 's'));


                }
                if ((isset(self::$phpSpreadsheetFunctions[$functionName])) || (isset(self::$controlFunctions[$functionName]))) {    // function

>                     $passByReference = false;
                    if (isset(self::$phpSpreadsheetFunctions[$functionName])) {
>                     $passCellReference = false;
                        $functionCall = self::$phpSpreadsheetFunctions[$functionName]['functionCall'];
>                     $functionCall = null;


                        $passByReference = isset(self::$phpSpreadsheetFunctions[$functionName]['passByReference']);
                        $passCellReference = isset(self::$phpSpreadsheetFunctions[$functionName]['passCellReference']);
                    } elseif (isset(self::$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
                    $args = $argArrayVals = [];

>                     $emptyArguments = [];


                    for ($i = 0; $i < $argCount; ++$i) {
                        $arg = $stack->pop();
                        $a = $argCount - $i - 1;

<                         if (($passByReference) &&



>                         if (
>                             ($passByReference) &&


                            (isset(self::$phpSpreadsheetFunctions[$functionName]['passByReference'][$a])) &&

<                             (self::$phpSpreadsheetFunctions[$functionName]['passByReference'][$a])) {



>                             (self::$phpSpreadsheetFunctions[$functionName]['passByReference'][$a])
>                         ) {


                            if ($arg['reference'] === null) {
                                $args[] = $cellID;

<                                 if ($functionName != 'MKMATRIX') {



>                                 if ($functionName !== 'MKMATRIX') {


                                    $argArrayVals[] = $this->showValue($cellID);
                                }
                            } else {
                                $args[] = $arg['reference'];

<                                 if ($functionName != 'MKMATRIX') {



>                                 if ($functionName !== 'MKMATRIX') {


                                    $argArrayVals[] = $this->showValue($arg['reference']);
                                }
                            }
                        } else {

>                             $emptyArguments[] = ($arg['type'] === 'Empty Argument');


                            $args[] = self::unwrapResult($arg['value']);

<                             if ($functionName != 'MKMATRIX') {



>                             if ($functionName !== 'MKMATRIX') {


                                $argArrayVals[] = $this->showValue($arg['value']);
                            }
                        }
                    }

                    //    Reverse the order of the arguments
                    krsort($args);

>                     krsort($emptyArguments);

> 
                    if (($passByReference) && ($argCount == 0)) {
>                     if ($argCount > 0) {
                        $args[] = $cellID;
>                         $args = $this->addDefaultArgumentValues($functionCall, $args, $emptyArguments);
                        $argArrayVals[] = $this->showValue($cellID);
>                     }


                    }


<                     if ($functionName != 'MKMATRIX') {



>                     if ($functionName !== 'MKMATRIX') {


                        if ($this->debugLog->getWriteDebugLog()) {
                            krsort($argArrayVals);

<                             $this->debugLog->writeDebugLog('Evaluating ', self::localeFunc($functionName), '( ', implode(self::$localeArgumentSeparator . ' ', Functions::flattenArray($argArrayVals)), ' )');



>                             $this->debugLog->writeDebugLog('Evaluating %s ( %s )', self::localeFunc($functionName), implode(self::$localeArgumentSeparator . ' ', Functions::flattenArray($argArrayVals)));


                        }
                    }

                    //    Process the argument with the appropriate function call

<                     $args = $this->addCellReference($args, $passCellReference, $functionCall, $pCell);



>                     $args = $this->addCellReference($args, $passCellReference, $functionCall, $cell);



                    if (!is_array($functionCall)) {
                        foreach ($args as &$arg) {
                            $arg = Functions::flattenSingleValue($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));



>                     if ($functionName !== 'MKMATRIX') {
>                         $this->debugLog->writeDebugLog('Evaluation Result for %s() function call is %s', self::localeFunc($functionName), $this->showTypeDetails($result));


                    }
                    $stack->push('Value', self::wrapResult($result));
                    if (isset($storeKey)) {
                        $branchStore[$storeKey] = $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)])) {



>                 if (isset(self::$excelConstants[strtoupper($token ?? '')])) {


                    $excelConstant = strtoupper($token);
                    $stack->push('Constant Value', self::$excelConstants[$excelConstant]);
                    if (isset($storeKey)) {
                        $branchStore[$storeKey] = 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] == '#')) {
<                     $stack->push('Value', $token);



>                     $this->debugLog->writeDebugLog('Evaluating Constant %s as %s', $excelConstant, $this->showTypeDetails(self::$excelConstants[$excelConstant]));
>                 } elseif ((is_numeric($token)) || ($token === null) || (is_bool($token)) || ($token == '') || ($token[0] == self::FORMULA_STRING_QUOTE) || ($token[0] == '#')) {
>                     $stack->push($tokenData['type'], $token, $tokenData['reference']);


                    if (isset($storeKey)) {
                        $branchStore[$storeKey] = $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)) {
<                     $namedRange = $matches[6];
<                     $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);



>                 } elseif (preg_match('/^' . self::CALCULATION_REGEXP_DEFINEDNAME . '$/miu', $token, $matches)) {
>                     // if the token is a named range or formula, evaluate it and push the result onto the stack
>                     $definedName = $matches[6];
>                     if ($cell === null || $pCellWorksheet === null) {
>                         return $this->raiseFormulaError("undefined name '$token'");
>                     }
> 
>                     $this->debugLog->writeDebugLog('Evaluating Defined Name %s', $definedName);
>                     $namedRange = DefinedName::resolveName($definedName, $pCellWorksheet);
>                     if ($namedRange === null) {
>                         return $this->raiseFormulaError("undefined name '$definedName'");
>                     }
> 
>                     $result = $this->evaluateDefinedName($cell, $namedRange, $pCellWorksheet, $stack);


                    if (isset($storeKey)) {

<                         $branchStore[$storeKey] = $cellValue;



>                         $branchStore[$storeKey] = $result;


                    }
                } else {

<                     return $this->raiseFormulaError("undefined variable '$token'");



>                     return $this->raiseFormulaError("undefined name '$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'];

        return $output;
    }

    private function validateBinaryOperand(&$operand, &$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] == '"') {



>             if ($operand > '' && $operand[0] == self::FORMULA_STRING_QUOTE) {


                $operand = self::unwrapResult($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));



>                     $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails($operand));



                    return false;
                } elseif (!Shared\StringHelper::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!'));



>                     $stack->push('Error', '#VALUE!');
>                     $this->debugLog->writeDebugLog('Evaluation Result is a %s', $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;
    }

    /**

<      * @param null|string $cellID


     * @param mixed $operand1
     * @param mixed $operand2
     * @param string $operation

<      * @param Stack $stack
<      * @param bool $recursingArrays


     *

<      * @return mixed



>      * @return array


     */

<     private function executeBinaryComparisonOperation($cellID, $operand1, $operand2, $operation, Stack &$stack, $recursingArrays = false)



>     private function executeArrayComparison($operand1, $operand2, $operation, Stack &$stack, bool $recursingArrays)


    {

<         //    If we're dealing with matrix operations, we want a matrix result
<         if ((is_array($operand1)) || (is_array($operand2))) {


            $result = [];

<             if ((is_array($operand1)) && (!is_array($operand2))) {



>         if (!is_array($operand2)) {
>             // Operand 1 is an array, Operand 2 is a scalar


                foreach ($operand1 as $x => $operandData) {

<                     $this->debugLog->writeDebugLog('Evaluating Comparison ', $this->showValue($operandData), ' ', $operation, ' ', $this->showValue($operand2));
<                     $this->executeBinaryComparisonOperation($cellID, $operandData, $operand2, $operation, $stack);



>                 $this->debugLog->writeDebugLog('Evaluating Comparison %s %s %s', $this->showValue($operandData), $operation, $this->showValue($operand2));
>                 $this->executeBinaryComparisonOperation($operandData, $operand2, $operation, $stack);


                    $r = $stack->pop();
                    $result[$x] = $r['value'];
                }

<             } elseif ((!is_array($operand1)) && (is_array($operand2))) {



>         } elseif (!is_array($operand1)) {
>             // Operand 1 is a scalar, Operand 2 is an array


                foreach ($operand2 as $x => $operandData) {

<                     $this->debugLog->writeDebugLog('Evaluating Comparison ', $this->showValue($operand1), ' ', $operation, ' ', $this->showValue($operandData));
<                     $this->executeBinaryComparisonOperation($cellID, $operand1, $operandData, $operation, $stack);



>                 $this->debugLog->writeDebugLog('Evaluating Comparison %s %s %s', $this->showValue($operand1), $operation, $this->showValue($operandData));
>                 $this->executeBinaryComparisonOperation($operand1, $operandData, $operation, $stack);


                    $r = $stack->pop();
                    $result[$x] = $r['value'];
                }
            } else {

>             // Operand 1 and Operand 2 are both arrays


                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);



>                 $this->debugLog->writeDebugLog('Evaluating Comparison %s %s %s', $this->showValue($operandData), $operation, $this->showValue($operand2[$x]));
>                 $this->executeBinaryComparisonOperation($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));



>         $this->debugLog->writeDebugLog('Comparison Evaluation Result is %s', $this->showTypeDetails($result));


            //    And push the result onto the stack
            $stack->push('Array', $result);

            return $result;
        }


<         //    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 (Functions::getCompatibilityMode() != Functions::COMPATIBILITY_OPENOFFICE) {
<             if (is_string($operand1)) {
<                 $operand1 = strtoupper($operand1);
<             }
<             if (is_string($operand2)) {
<                 $operand2 = strtoupper($operand2);
<             }
<         }
< 
<         $useLowercaseFirstComparison = is_string($operand1) && is_string($operand2) && Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE;
< 
<         //    execute the necessary operation
<         switch ($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;



>     /**
>      * @param mixed $operand1
>      * @param mixed $operand2
>      * @param string $operation
>      * @param bool $recursingArrays
>      *
>      * @return mixed
>      */
>     private function executeBinaryComparisonOperation($operand1, $operand2, $operation, Stack &$stack, $recursingArrays = false)
>     {
>         //    If we're dealing with matrix operations, we want a matrix result
>         if ((is_array($operand1)) || (is_array($operand2))) {
>             return $this->executeArrayComparison($operand1, $operand2, $operation, $stack, $recursingArrays);


                }


<                 break;
<         }



>         $result = BinaryComparison::compare($operand1, $operand2, $operation);



        //    Log the result details

<         $this->debugLog->writeDebugLog('Evaluation Result is ', $this->showTypeDetails($result));



>         $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails($result));


        //    And push the result onto the stack
        $stack->push('Value', $result);

        return $result;
    }

    /**

<      * Compare two strings in the same way as strcmp() except that lowercase come before uppercase letters.
<      *
<      * @param string $str1 First string value for the comparison
<      * @param string $str2 Second string value for the comparison
<      *
<      * @return int
<      */
<     private function strcmpLowercaseFirst($str1, $str2)
<     {
<         $inversedStr1 = Shared\StringHelper::strCaseReverse($str1);
<         $inversedStr2 = Shared\StringHelper::strCaseReverse($str2);
< 
<         return strcmp($inversedStr1, $inversedStr2);
<     }
< 
<     /**


     * @param mixed $operand1
     * @param mixed $operand2
     * @param mixed $operation
     * @param string $matrixFunction
     * @param mixed $stack
     *
     * @return bool|mixed
     */
    private function executeNumericBinaryOperation($operand1, $operand2, $operation, $matrixFunction, &$stack)
    {
        //    Validate the two operands
        if (!$this->validateBinaryOperand($operand1, $stack)) {
            return false;
        }
        if (!$this->validateBinaryOperand($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
                $matrix = new Shared\JAMA\Matrix($operand1);
                //    Perform the required operation against the operand 1 matrix, passing in operand 2
                $matrixResult = $matrix->$matrixFunction($operand2);
                $result = $matrixResult->getArray();
            } catch (\Exception $ex) {

<                 $this->debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());



>                 $this->debugLog->writeDebugLog('JAMA Matrix Exception: %s', $ex->getMessage());


                $result = '#VALUE!';
            }
        } else {

<             if ((Functions::getCompatibilityMode() != Functions::COMPATIBILITY_OPENOFFICE) &&



>             if (
>                 (Functions::getCompatibilityMode() != Functions::COMPATIBILITY_OPENOFFICE) &&


                ((is_string($operand1) && !is_numeric($operand1) && strlen($operand1) > 0) ||

<                  (is_string($operand2) && !is_numeric($operand2) && strlen($operand2) > 0))) {
<                 $result = Functions::VALUE();



>                     (is_string($operand2) && !is_numeric($operand2) && strlen($operand2) > 0))
>             ) {
>                 $result = Information\ExcelError::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!'));



>                             $stack->push('Error', ExcelError::DIV0());
>                             $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails(ExcelError::DIV0()));



                            return false;
                        }
                            $result = $operand1 / $operand2;

                        break;
                    //    Power
                    case '^':

<                         $result = pow($operand1, $operand2);



>                         $result = $operand1 ** $operand2;



                        break;

> 
                }
>                     default:
            }
>                         throw new Exception('Unsupported numeric binary operation');


        }

        //    Log the result details

<         $this->debugLog->writeDebugLog('Evaluation Result is ', $this->showTypeDetails($result));



>         $this->debugLog->writeDebugLog('Evaluation Result is %s', $this->showTypeDetails($result));


        //    And push the result onto the stack
        $stack->push('Value', $result);

        return $result;
    }


<     // trigger an error, but nicely, if need be
<     protected function raiseFormulaError($errorMessage)



>     /**
>      * Trigger an error, but nicely, if need be.
>      *
>      * @return false
>      */
>     protected function raiseFormulaError(string $errorMessage)


    {
        $this->formulaError = $errorMessage;
        $this->cyclicReferenceStack->clear();
        if (!$this->suppressFormulaErrors) {
            throw new Exception($errorMessage);
        }

> 
        trigger_error($errorMessage, E_USER_ERROR);
>         if (strlen($errorMessage) > 0) {




>         }


        return false;
    }

    /**
     * Extract range values.
     *

<      * @param string &$pRange String based range representation
<      * @param Worksheet $pSheet Worksheet



>      * @param string $range String based range representation
>      * @param Worksheet $worksheet Worksheet


     * @param bool $resetLog Flag indicating whether calculation log should be reset or not
     *
     * @return mixed Array of values in range if range contains more than one element. Otherwise, a single value is returned.
     */

<     public function extractCellRange(&$pRange = 'A1', Worksheet $pSheet = null, $resetLog = true)



>     public function extractCellRange(&$range = 'A1', ?Worksheet $worksheet = null, $resetLog = true)


    {
        // Return value
        $returnValue = [];


<         if ($pSheet !== null) {
<             $pSheetName = $pSheet->getTitle();
<             if (strpos($pRange, '!') !== false) {
<                 [$pSheetName, $pRange] = Worksheet::extractSheetTitle($pRange, true);
<                 $pSheet = $this->spreadsheet->getSheetByName($pSheetName);



>         if ($worksheet !== null) {
>             $worksheetName = $worksheet->getTitle();
> 
>             if (strpos($range, '!') !== false) {
>                 [$worksheetName, $range] = Worksheet::extractSheetTitle($range, true);
>                 $worksheet = $this->spreadsheet->getSheetByName($worksheetName);


            }

            // Extract range

<             $aReferences = Coordinate::extractAllCellReferencesInRange($pRange);
<             $pRange = $pSheetName . '!' . $pRange;



>             $aReferences = Coordinate::extractAllCellReferencesInRange($range);
>             $range = "'" . $worksheetName . "'" . '!' . $range;


            if (!isset($aReferences[1])) {

<                 $currentCol = '';
<                 $currentRow = 0;


                //    Single cell in range
                sscanf($aReferences[0], '%[A-Z]%d', $currentCol, $currentRow);

<                 if ($pSheet->cellExists($aReferences[0])) {
<                     $returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);



>                 if ($worksheet->cellExists($aReferences[0])) {
>                     $returnValue[$currentRow][$currentCol] = $worksheet->getCell($aReferences[0])->getCalculatedValue($resetLog);


                } else {
                    $returnValue[$currentRow][$currentCol] = null;
                }
            } else {
                // Extract cell data for all cells in the range
                foreach ($aReferences as $reference) {

<                     $currentCol = '';
<                     $currentRow = 0;


                    // Extract range
                    sscanf($reference, '%[A-Z]%d', $currentCol, $currentRow);

<                     if ($pSheet->cellExists($reference)) {
<                         $returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);



>                     if ($worksheet->cellExists($reference)) {
>                         $returnValue[$currentRow][$currentCol] = $worksheet->getCell($reference)->getCalculatedValue($resetLog);


                    } else {
                        $returnValue[$currentRow][$currentCol] = null;
                    }
                }
            }
        }

        return $returnValue;
    }

    /**
     * Extract range values.
     *

<      * @param string &$pRange String based range representation
<      * @param Worksheet $pSheet Worksheet



>      * @param string $range String based range representation
>      * @param null|Worksheet $worksheet Worksheet


     * @param bool $resetLog Flag indicating whether calculation log should be reset or not
     *
     * @return mixed Array of values in range if range contains more than one element. Otherwise, a single value is returned.
     */

<     public function extractNamedRange(&$pRange = 'A1', Worksheet $pSheet = null, $resetLog = true)



>     public function extractNamedRange(string &$range = 'A1', ?Worksheet $worksheet = null, $resetLog = true)


    {
        // Return value
        $returnValue = [];


<         if ($pSheet !== null) {
<             $pSheetName = $pSheet->getTitle();
<             if (strpos($pRange, '!') !== false) {
<                 [$pSheetName, $pRange] = Worksheet::extractSheetTitle($pRange, true);
<                 $pSheet = $this->spreadsheet->getSheetByName($pSheetName);



>         if ($worksheet !== null) {
>             if (strpos($range, '!') !== false) {
>                 [$worksheetName, $range] = Worksheet::extractSheetTitle($range, true);
>                 $worksheet = $this->spreadsheet->getSheetByName($worksheetName);


            }

            // Named range?

<             $namedRange = NamedRange::resolveRange($pRange, $pSheet);
<             if ($namedRange !== null) {
<                 $pSheet = $namedRange->getWorksheet();
<                 $pRange = $namedRange->getRange();
<                 $splitRange = Coordinate::splitRange($pRange);



>             $namedRange = DefinedName::resolveName($range, /** @scrutinizer ignore-type */ $worksheet);
>             if ($namedRange === null) {
>                 return Information\ExcelError::REF();
>             }
> 
>             $worksheet = $namedRange->getWorksheet();
>             $range = $namedRange->getValue();
>             $splitRange = Coordinate::splitRange($range);


                //    Convert row and column references
                if (ctype_alpha($splitRange[0][0])) {

<                     $pRange = $splitRange[0][0] . '1:' . $splitRange[0][1] . $namedRange->getWorksheet()->getHighestRow();



>                 $range = $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];
<                 }
<             } else {
<                 return Functions::REF();



>                 $range = 'A' . $splitRange[0][0] . ':' . $namedRange->getWorksheet()->getHighestColumn() . $splitRange[0][1];


            }

            // Extract range

<             $aReferences = Coordinate::extractAllCellReferencesInRange($pRange);



>             $aReferences = Coordinate::extractAllCellReferencesInRange($range);


            if (!isset($aReferences[1])) {
                //    Single cell (or single column or row) in range
                [$currentCol, $currentRow] = Coordinate::coordinateFromString($aReferences[0]);

<                 if ($pSheet->cellExists($aReferences[0])) {
<                     $returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);



>                 if ($worksheet->cellExists($aReferences[0])) {
>                     $returnValue[$currentRow][$currentCol] = $worksheet->getCell($aReferences[0])->getCalculatedValue($resetLog);


                } else {
                    $returnValue[$currentRow][$currentCol] = null;
                }
            } else {
                // Extract cell data for all cells in the range
                foreach ($aReferences as $reference) {
                    // Extract range
                    [$currentCol, $currentRow] = Coordinate::coordinateFromString($reference);

<                     if ($pSheet->cellExists($reference)) {
<                         $returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);



>                     if ($worksheet->cellExists($reference)) {
>                         $returnValue[$currentRow][$currentCol] = $worksheet->getCell($reference)->getCalculatedValue($resetLog);


                    } else {
                        $returnValue[$currentRow][$currentCol] = null;
                    }
                }
            }
        }

        return $returnValue;
    }

    /**
     * Is a specific function implemented?
     *

<      * @param string $pFunction Function Name



>      * @param string $function Function Name


     *
     * @return bool
     */

<     public function isImplemented($pFunction)



>     public function isImplemented($function)


    {

<         $pFunction = strtoupper($pFunction);
<         $notImplemented = !isset(self::$phpSpreadsheetFunctions[$pFunction]) || (is_array(self::$phpSpreadsheetFunctions[$pFunction]['functionCall']) && self::$phpSpreadsheetFunctions[$pFunction]['functionCall'][1] === 'DUMMY');



>         $function = strtoupper($function);
>         $notImplemented = !isset(self::$phpSpreadsheetFunctions[$function]) || (is_array(self::$phpSpreadsheetFunctions[$function]['functionCall']) && self::$phpSpreadsheetFunctions[$function]['functionCall'][1] === 'DUMMY');



        return !$notImplemented;
    }

    /**
     * Get a list of all implemented functions as an array of function objects.

<      *
<      * @return array of Category


     */

<     public function getFunctions()



>     public function getFunctions(): array


    {
        return self::$phpSpreadsheetFunctions;
    }

    /**
     * Get a list of implemented Excel function names.
     *
     * @return array
     */
    public function getImplementedFunctionNames()
    {
        $returnValue = [];
        foreach (self::$phpSpreadsheetFunctions as $functionName => $function) {
            if ($this->isImplemented($functionName)) {
                $returnValue[] = $functionName;
            }
        }

        return $returnValue;
    }


>     private function addDefaultArgumentValues(array $functionCall, array $args, array $emptyArguments): array
    /**
>     {
     * Add cell reference if needed while making sure that it is the last argument.
>         $reflector = new ReflectionMethod(implode('::', $functionCall));
     *
>         $methodArguments = $reflector->getParameters();
     * @param array $args
> 
     * @param bool $passCellReference
>         if (count($methodArguments) > 0) {
     * @param array|string $functionCall
>             // Apply any defaults for empty argument values
     * @param null|Cell $pCell
>             foreach ($emptyArguments as $argumentId => $isArgumentEmpty) {
     *
>                 if ($isArgumentEmpty === true) {
     * @return array
>                     $reflectedArgumentId = count($args) - (int) $argumentId - 1;
     */
>                     if (
    private function addCellReference(array $args, $passCellReference, $functionCall, Cell $pCell = null)
>                         !array_key_exists($reflectedArgumentId, $methodArguments) ||
    {
>                         $methodArguments[$reflectedArgumentId]->isVariadic()
        if ($passCellReference) {
>                     ) {
            if (is_array($functionCall)) {
>                         break;
                $className = $functionCall[0];
>                     }
                $methodName = $functionCall[1];
> 

>                     $args[$argumentId] = $this->getArgumentDefaultValue($methodArguments[$reflectedArgumentId]);
                $reflectionMethod = new \ReflectionMethod($className, $methodName);
>                 }
                $argumentCount = count($reflectionMethod->getParameters());
>             }
                while (count($args) < $argumentCount - 1) {
>         }
                    $args[] = null;
> 
                }
>         return $args;
            }
>     }

> 
            $args[] = $pCell;
>     /**
        }
>      * @return null|mixed

>      */
        return $args;
>     private function getArgumentDefaultValue(ReflectionParameter $methodArgument)
    }
>     {

>         $defaultValue = null;
    private function getUnusedBranchStoreKey()
> 
    {
>         if ($methodArgument->isDefaultValueAvailable()) {
        $storeKeyValue = 'storeKey-' . $this->branchStoreKeyCounter;
>             $defaultValue = $methodArgument->getDefaultValue();
        ++$this->branchStoreKeyCounter;
>             if ($methodArgument->isDefaultValueConstant()) {

>                 $constantName = $methodArgument->getDefaultValueConstantName() ?? '';
        return $storeKeyValue;
>                 // read constant value
    }
>                 if (strpos($constantName, '::') !== false) {

>                     [$className, $constantName] = explode('::', $constantName);
    private function getTokensAsString($tokens)
>                     $constantReflector = new ReflectionClassConstant($className, $constantName);
    {
> 
        $tokensStr = array_map(function ($token) {
>                     return $constantReflector->getValue();
            $value = $token['value'] ?? 'no value';
>                 }
            while (is_array($value)) {
> 
                $value = array_pop($value);
>                 return constant($constantName);
            }
>             }

>         }
            return $value;
> 
        }, $tokens);
>         return $defaultValue;

>     }
        return '[ ' . implode(' | ', $tokensStr) . ' ]';
> 



<      * @param array $args



<      * @param null|Cell $pCell



<     private function addCellReference(array $args, $passCellReference, $functionCall, Cell $pCell = null)



>     private function addCellReference(array $args, $passCellReference, $functionCall, ?Cell $cell = null)



<                 $reflectionMethod = new \ReflectionMethod($className, $methodName);



>                 $reflectionMethod = new ReflectionMethod($className, $methodName);



<             $args[] = $pCell;



>             $args[] = $cell;



<     private function getUnusedBranchStoreKey()
<     {
<         $storeKeyValue = 'storeKey-' . $this->branchStoreKeyCounter;
<         ++$this->branchStoreKeyCounter;
< 
<         return $storeKeyValue;
<     }
< 



>     }
> 
>     /**
>      * @return mixed|string
>      */
>     private function evaluateDefinedName(Cell $cell, DefinedName $namedRange, Worksheet $cellWorksheet, Stack $stack)
>     {
>         $definedNameScope = $namedRange->getScope();
>         if ($definedNameScope !== null && $definedNameScope !== $cellWorksheet) {
>             // The defined name isn't in our current scope, so #REF
>             $result = Information\ExcelError::REF();
>             $stack->push('Error', $result, $namedRange->getName());
> 
>             return $result;
>         }
> 
>         $definedNameValue = $namedRange->getValue();
>         $definedNameType = $namedRange->isFormula() ? 'Formula' : 'Range';
>         $definedNameWorksheet = $namedRange->getWorksheet();
> 
>         if ($definedNameValue[0] !== '=') {
>             $definedNameValue = '=' . $definedNameValue;
>         }
> 
>         $this->debugLog->writeDebugLog('Defined Name is a %s with a value of %s', $definedNameType, $definedNameValue);
> 
>         $recursiveCalculationCell = ($definedNameWorksheet !== null && $definedNameWorksheet !== $cellWorksheet)
>             ? $definedNameWorksheet->getCell('A1')
>             : $cell;
>         $recursiveCalculationCellAddress = $recursiveCalculationCell->getCoordinate();
> 
>         // Adjust relative references in ranges and formulae so that we execute the calculation for the correct rows and columns
>         $definedNameValue = self::$referenceHelper->updateFormulaReferencesAnyWorksheet(
>             $definedNameValue,
>             Coordinate::columnIndexFromString($cell->getColumn()) - 1,
>             $cell->getRow() - 1
>         );
> 
>         $this->debugLog->writeDebugLog('Value adjusted for relative references is %s', $definedNameValue);
> 
>         $recursiveCalculator = new self($this->spreadsheet);
>         $recursiveCalculator->getDebugLog()->setWriteDebugLog($this->getDebugLog()->getWriteDebugLog());
>         $recursiveCalculator->getDebugLog()->setEchoDebugLog($this->getDebugLog()->getEchoDebugLog());
>         $result = $recursiveCalculator->_calculateFormulaValue($definedNameValue, $recursiveCalculationCellAddress, $recursiveCalculationCell);
> 
>         if ($this->getDebugLog()->getWriteDebugLog()) {
>             $this->debugLog->mergeDebugLog(array_slice($recursiveCalculator->getDebugLog()->getLog(), 3));
>             $this->debugLog->writeDebugLog('Evaluation Result for Named %s %s is %s', $definedNameType, $namedRange->getName(), $this->showTypeDetails($result));
>         }
> 
>         $stack->push('Defined Name', $result, $namedRange->getName());
> 
>         return $result;