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class PHPExcel_Calculation_Engineering in Loft Data Grids 7.2

Same name and namespace in other branches
  1. 6.2 vendor/phpoffice/phpexcel/Classes/PHPExcel/Calculation/Engineering.php \PHPExcel_Calculation_Engineering

PHPExcel_Calculation_Engineering

@category PHPExcel @package PHPExcel_Calculation @copyright Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)

Hierarchy

Expanded class hierarchy of PHPExcel_Calculation_Engineering

39 string references to 'PHPExcel_Calculation_Engineering'
EngineeringTest::testBESSELI in vendor/phpoffice/phpexcel/unitTests/Classes/PHPExcel/Calculation/EngineeringTest.php
@dataProvider providerBESSELI
EngineeringTest::testBESSELJ in vendor/phpoffice/phpexcel/unitTests/Classes/PHPExcel/Calculation/EngineeringTest.php
@dataProvider providerBESSELJ
EngineeringTest::testBESSELK in vendor/phpoffice/phpexcel/unitTests/Classes/PHPExcel/Calculation/EngineeringTest.php
@dataProvider providerBESSELK
EngineeringTest::testBESSELY in vendor/phpoffice/phpexcel/unitTests/Classes/PHPExcel/Calculation/EngineeringTest.php
@dataProvider providerBESSELY
EngineeringTest::testBIN2DEC in vendor/phpoffice/phpexcel/unitTests/Classes/PHPExcel/Calculation/EngineeringTest.php
@dataProvider providerBIN2DEC

... See full list

File

vendor/phpoffice/phpexcel/Classes/PHPExcel/Calculation/Engineering.php, line 50

View source
class PHPExcel_Calculation_Engineering {

  /**
   * Details of the Units of measure that can be used in CONVERTUOM()
   *
   * @var mixed[]
   */
  private static $_conversionUnits = array(
    'g' => array(
      'Group' => 'Mass',
      'Unit Name' => 'Gram',
      'AllowPrefix' => True,
    ),
    'sg' => array(
      'Group' => 'Mass',
      'Unit Name' => 'Slug',
      'AllowPrefix' => False,
    ),
    'lbm' => array(
      'Group' => 'Mass',
      'Unit Name' => 'Pound mass (avoirdupois)',
      'AllowPrefix' => False,
    ),
    'u' => array(
      'Group' => 'Mass',
      'Unit Name' => 'U (atomic mass unit)',
      'AllowPrefix' => True,
    ),
    'ozm' => array(
      'Group' => 'Mass',
      'Unit Name' => 'Ounce mass (avoirdupois)',
      'AllowPrefix' => False,
    ),
    'm' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Meter',
      'AllowPrefix' => True,
    ),
    'mi' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Statute mile',
      'AllowPrefix' => False,
    ),
    'Nmi' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Nautical mile',
      'AllowPrefix' => False,
    ),
    'in' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Inch',
      'AllowPrefix' => False,
    ),
    'ft' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Foot',
      'AllowPrefix' => False,
    ),
    'yd' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Yard',
      'AllowPrefix' => False,
    ),
    'ang' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Angstrom',
      'AllowPrefix' => True,
    ),
    'Pica' => array(
      'Group' => 'Distance',
      'Unit Name' => 'Pica (1/72 in)',
      'AllowPrefix' => False,
    ),
    'yr' => array(
      'Group' => 'Time',
      'Unit Name' => 'Year',
      'AllowPrefix' => False,
    ),
    'day' => array(
      'Group' => 'Time',
      'Unit Name' => 'Day',
      'AllowPrefix' => False,
    ),
    'hr' => array(
      'Group' => 'Time',
      'Unit Name' => 'Hour',
      'AllowPrefix' => False,
    ),
    'mn' => array(
      'Group' => 'Time',
      'Unit Name' => 'Minute',
      'AllowPrefix' => False,
    ),
    'sec' => array(
      'Group' => 'Time',
      'Unit Name' => 'Second',
      'AllowPrefix' => True,
    ),
    'Pa' => array(
      'Group' => 'Pressure',
      'Unit Name' => 'Pascal',
      'AllowPrefix' => True,
    ),
    'p' => array(
      'Group' => 'Pressure',
      'Unit Name' => 'Pascal',
      'AllowPrefix' => True,
    ),
    'atm' => array(
      'Group' => 'Pressure',
      'Unit Name' => 'Atmosphere',
      'AllowPrefix' => True,
    ),
    'at' => array(
      'Group' => 'Pressure',
      'Unit Name' => 'Atmosphere',
      'AllowPrefix' => True,
    ),
    'mmHg' => array(
      'Group' => 'Pressure',
      'Unit Name' => 'mm of Mercury',
      'AllowPrefix' => True,
    ),
    'N' => array(
      'Group' => 'Force',
      'Unit Name' => 'Newton',
      'AllowPrefix' => True,
    ),
    'dyn' => array(
      'Group' => 'Force',
      'Unit Name' => 'Dyne',
      'AllowPrefix' => True,
    ),
    'dy' => array(
      'Group' => 'Force',
      'Unit Name' => 'Dyne',
      'AllowPrefix' => True,
    ),
    'lbf' => array(
      'Group' => 'Force',
      'Unit Name' => 'Pound force',
      'AllowPrefix' => False,
    ),
    'J' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Joule',
      'AllowPrefix' => True,
    ),
    'e' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Erg',
      'AllowPrefix' => True,
    ),
    'c' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Thermodynamic calorie',
      'AllowPrefix' => True,
    ),
    'cal' => array(
      'Group' => 'Energy',
      'Unit Name' => 'IT calorie',
      'AllowPrefix' => True,
    ),
    'eV' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Electron volt',
      'AllowPrefix' => True,
    ),
    'ev' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Electron volt',
      'AllowPrefix' => True,
    ),
    'HPh' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Horsepower-hour',
      'AllowPrefix' => False,
    ),
    'hh' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Horsepower-hour',
      'AllowPrefix' => False,
    ),
    'Wh' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Watt-hour',
      'AllowPrefix' => True,
    ),
    'wh' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Watt-hour',
      'AllowPrefix' => True,
    ),
    'flb' => array(
      'Group' => 'Energy',
      'Unit Name' => 'Foot-pound',
      'AllowPrefix' => False,
    ),
    'BTU' => array(
      'Group' => 'Energy',
      'Unit Name' => 'BTU',
      'AllowPrefix' => False,
    ),
    'btu' => array(
      'Group' => 'Energy',
      'Unit Name' => 'BTU',
      'AllowPrefix' => False,
    ),
    'HP' => array(
      'Group' => 'Power',
      'Unit Name' => 'Horsepower',
      'AllowPrefix' => False,
    ),
    'h' => array(
      'Group' => 'Power',
      'Unit Name' => 'Horsepower',
      'AllowPrefix' => False,
    ),
    'W' => array(
      'Group' => 'Power',
      'Unit Name' => 'Watt',
      'AllowPrefix' => True,
    ),
    'w' => array(
      'Group' => 'Power',
      'Unit Name' => 'Watt',
      'AllowPrefix' => True,
    ),
    'T' => array(
      'Group' => 'Magnetism',
      'Unit Name' => 'Tesla',
      'AllowPrefix' => True,
    ),
    'ga' => array(
      'Group' => 'Magnetism',
      'Unit Name' => 'Gauss',
      'AllowPrefix' => True,
    ),
    'C' => array(
      'Group' => 'Temperature',
      'Unit Name' => 'Celsius',
      'AllowPrefix' => False,
    ),
    'cel' => array(
      'Group' => 'Temperature',
      'Unit Name' => 'Celsius',
      'AllowPrefix' => False,
    ),
    'F' => array(
      'Group' => 'Temperature',
      'Unit Name' => 'Fahrenheit',
      'AllowPrefix' => False,
    ),
    'fah' => array(
      'Group' => 'Temperature',
      'Unit Name' => 'Fahrenheit',
      'AllowPrefix' => False,
    ),
    'K' => array(
      'Group' => 'Temperature',
      'Unit Name' => 'Kelvin',
      'AllowPrefix' => False,
    ),
    'kel' => array(
      'Group' => 'Temperature',
      'Unit Name' => 'Kelvin',
      'AllowPrefix' => False,
    ),
    'tsp' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Teaspoon',
      'AllowPrefix' => False,
    ),
    'tbs' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Tablespoon',
      'AllowPrefix' => False,
    ),
    'oz' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Fluid Ounce',
      'AllowPrefix' => False,
    ),
    'cup' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Cup',
      'AllowPrefix' => False,
    ),
    'pt' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'U.S. Pint',
      'AllowPrefix' => False,
    ),
    'us_pt' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'U.S. Pint',
      'AllowPrefix' => False,
    ),
    'uk_pt' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'U.K. Pint',
      'AllowPrefix' => False,
    ),
    'qt' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Quart',
      'AllowPrefix' => False,
    ),
    'gal' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Gallon',
      'AllowPrefix' => False,
    ),
    'l' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Litre',
      'AllowPrefix' => True,
    ),
    'lt' => array(
      'Group' => 'Liquid',
      'Unit Name' => 'Litre',
      'AllowPrefix' => True,
    ),
  );

  /**
   * Details of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM()
   *
   * @var mixed[]
   */
  private static $_conversionMultipliers = array(
    'Y' => array(
      'multiplier' => 1.0E+24,
      'name' => 'yotta',
    ),
    'Z' => array(
      'multiplier' => 1.0E+21,
      'name' => 'zetta',
    ),
    'E' => array(
      'multiplier' => 1.0E+18,
      'name' => 'exa',
    ),
    'P' => array(
      'multiplier' => 1000000000000000.0,
      'name' => 'peta',
    ),
    'T' => array(
      'multiplier' => 1000000000000.0,
      'name' => 'tera',
    ),
    'G' => array(
      'multiplier' => 1000000000.0,
      'name' => 'giga',
    ),
    'M' => array(
      'multiplier' => 1000000.0,
      'name' => 'mega',
    ),
    'k' => array(
      'multiplier' => 1000.0,
      'name' => 'kilo',
    ),
    'h' => array(
      'multiplier' => 100.0,
      'name' => 'hecto',
    ),
    'e' => array(
      'multiplier' => 10.0,
      'name' => 'deka',
    ),
    'd' => array(
      'multiplier' => 0.1,
      'name' => 'deci',
    ),
    'c' => array(
      'multiplier' => 0.01,
      'name' => 'centi',
    ),
    'm' => array(
      'multiplier' => 0.001,
      'name' => 'milli',
    ),
    'u' => array(
      'multiplier' => 1.0E-6,
      'name' => 'micro',
    ),
    'n' => array(
      'multiplier' => 1.0E-9,
      'name' => 'nano',
    ),
    'p' => array(
      'multiplier' => 1.0E-12,
      'name' => 'pico',
    ),
    'f' => array(
      'multiplier' => 1.0E-15,
      'name' => 'femto',
    ),
    'a' => array(
      'multiplier' => 1.0E-18,
      'name' => 'atto',
    ),
    'z' => array(
      'multiplier' => 9.999999999999999E-22,
      'name' => 'zepto',
    ),
    'y' => array(
      'multiplier' => 9.999999999999999E-25,
      'name' => 'yocto',
    ),
  );

  /**
   * Details of the Units of measure conversion factors, organised by group
   *
   * @var mixed[]
   */
  private static $_unitConversions = array(
    'Mass' => array(
      'g' => array(
        'g' => 1.0,
        'sg' => 6.85220500053478E-5,
        'lbm' => 0.00220462291469134,
        'u' => 6.02217E+23,
        'ozm' => 0.0352739718003627,
      ),
      'sg' => array(
        'g' => 14593.8424189287,
        'sg' => 1.0,
        'lbm' => 32.1739194101647,
        'u' => 8.788659999999999E+27,
        'ozm' => 514.782785944229,
      ),
      'lbm' => array(
        'g' => 453.5923097488115,
        'sg' => 0.0310810749306493,
        'lbm' => 1.0,
        'u' => 2.73161E+26,
        'ozm' => 16.000002342941,
      ),
      'u' => array(
        'g' => 1.66053100460465E-24,
        'sg' => 1.1378298853295E-28,
        'lbm' => 3.66084470330684E-27,
        'u' => 1.0,
        'ozm' => 5.85735238300524E-26,
      ),
      'ozm' => array(
        'g' => 28.3495152079732,
        'sg' => 0.00194256689870811,
        'lbm' => 0.0624999908478882,
        'u' => 1.707256E+25,
        'ozm' => 1.0,
      ),
    ),
    'Distance' => array(
      'm' => array(
        'm' => 1.0,
        'mi' => 0.000621371192237334,
        'Nmi' => 0.000539956803455724,
        'in' => 39.3700787401575,
        'ft' => 3.28083989501312,
        'yd' => 1.09361329797891,
        'ang' => 10000000000.0,
        'Pica' => 2834.64566929116,
      ),
      'mi' => array(
        'm' => 1609.344,
        'mi' => 1.0,
        'Nmi' => 0.868976241900648,
        'in' => 63360.0,
        'ft' => 5280.0,
        'yd' => 1760.0,
        'ang' => 16093440000000.0,
        'Pica' => 4561919.99999971,
      ),
      'Nmi' => array(
        'm' => 1852.0,
        'mi' => 1.15077944802354,
        'Nmi' => 1.0,
        'in' => 72913.3858267717,
        'ft' => 6076.1154855643,
        'yd' => 2025.37182785694,
        'ang' => 18520000000000.0,
        'Pica' => 5249763.77952723,
      ),
      'in' => array(
        'm' => 0.0254,
        'mi' => 1.57828282828283E-5,
        'Nmi' => 1.37149028077754E-5,
        'in' => 1.0,
        'ft' => 0.0833333333333333,
        'yd' => 0.0277777777686643,
        'ang' => 254000000.0,
        'Pica' => 71.9999999999955,
      ),
      'ft' => array(
        'm' => 0.3048,
        'mi' => 0.000189393939393939,
        'Nmi' => 0.000164578833693305,
        'in' => 12.0,
        'ft' => 1.0,
        'yd' => 0.333333333223972,
        'ang' => 3048000000.0,
        'Pica' => 863.999999999946,
      ),
      'yd' => array(
        'm' => 0.9144000003,
        'mi' => 0.00056818181836823,
        'Nmi' => 0.000493736501241901,
        'in' => 36.000000011811,
        'ft' => 3.0,
        'yd' => 1.0,
        'ang' => 9144000003.0,
        'Pica' => 2592.00000085023,
      ),
      'ang' => array(
        'm' => 1.0E-10,
        'mi' => 6.213711922373341E-14,
        'Nmi' => 5.39956803455724E-14,
        'in' => 3.93700787401575E-9,
        'ft' => 3.28083989501312E-10,
        'yd' => 1.09361329797891E-10,
        'ang' => 1.0,
        'Pica' => 2.83464566929116E-7,
      ),
      'Pica' => array(
        'm' => 0.0003527777777778,
        'mi' => 2.19205948372629E-7,
        'Nmi' => 1.90484761219114E-7,
        'in' => 0.0138888888888898,
        'ft' => 0.00115740740740748,
        'yd' => 0.000385802469009251,
        'ang' => 3527777.777778,
        'Pica' => 1.0,
      ),
    ),
    'Time' => array(
      'yr' => array(
        'yr' => 1.0,
        'day' => 365.25,
        'hr' => 8766.0,
        'mn' => 525960.0,
        'sec' => 31557600.0,
      ),
      'day' => array(
        'yr' => 0.0027378507871321,
        'day' => 1.0,
        'hr' => 24.0,
        'mn' => 1440.0,
        'sec' => 86400.0,
      ),
      'hr' => array(
        'yr' => 0.000114077116130504,
        'day' => 0.0416666666666667,
        'hr' => 1.0,
        'mn' => 60.0,
        'sec' => 3600.0,
      ),
      'mn' => array(
        'yr' => 1.90128526884174E-6,
        'day' => 0.000694444444444444,
        'hr' => 0.0166666666666667,
        'mn' => 1.0,
        'sec' => 60.0,
      ),
      'sec' => array(
        'yr' => 3.16880878140289E-8,
        'day' => 1.15740740740741E-5,
        'hr' => 0.000277777777777778,
        'mn' => 0.0166666666666667,
        'sec' => 1.0,
      ),
    ),
    'Pressure' => array(
      'Pa' => array(
        'Pa' => 1.0,
        'p' => 1.0,
        'atm' => 9.86923299998193E-6,
        'at' => 9.86923299998193E-6,
        'mmHg' => 0.00750061707998627,
      ),
      'p' => array(
        'Pa' => 1.0,
        'p' => 1.0,
        'atm' => 9.86923299998193E-6,
        'at' => 9.86923299998193E-6,
        'mmHg' => 0.00750061707998627,
      ),
      'atm' => array(
        'Pa' => 101324.996583,
        'p' => 101324.996583,
        'atm' => 1.0,
        'at' => 1.0,
        'mmHg' => 760.0,
      ),
      'at' => array(
        'Pa' => 101324.996583,
        'p' => 101324.996583,
        'atm' => 1.0,
        'at' => 1.0,
        'mmHg' => 760.0,
      ),
      'mmHg' => array(
        'Pa' => 133.322363925,
        'p' => 133.322363925,
        'atm' => 0.00131578947368421,
        'at' => 0.00131578947368421,
        'mmHg' => 1.0,
      ),
    ),
    'Force' => array(
      'N' => array(
        'N' => 1.0,
        'dyn' => 100000.0,
        'dy' => 100000.0,
        'lbf' => 0.224808923655339,
      ),
      'dyn' => array(
        'N' => 1.0E-5,
        'dyn' => 1.0,
        'dy' => 1.0,
        'lbf' => 2.24808923655339E-6,
      ),
      'dy' => array(
        'N' => 1.0E-5,
        'dyn' => 1.0,
        'dy' => 1.0,
        'lbf' => 2.24808923655339E-6,
      ),
      'lbf' => array(
        'N' => 4.448222,
        'dyn' => 444822.2,
        'dy' => 444822.2,
        'lbf' => 1.0,
      ),
    ),
    'Energy' => array(
      'J' => array(
        'J' => 1.0,
        'e' => 9999995.193432311,
        'c' => 0.239006249473467,
        'cal' => 0.238846190642017,
        'eV' => 6.241457E+18,
        'ev' => 6.241457E+18,
        'HPh' => 3.72506430801E-7,
        'hh' => 3.72506430801E-7,
        'Wh' => 0.000277777916238711,
        'wh' => 0.000277777916238711,
        'flb' => 23.7304222192651,
        'BTU' => 0.000947815067349015,
        'btu' => 0.000947815067349015,
      ),
      'e' => array(
        'J' => 1.000000480657E-7,
        'e' => 1.0,
        'c' => 2.39006364353494E-8,
        'cal' => 2.38846305445111E-8,
        'eV' => 624146000000.0,
        'ev' => 624146000000.0,
        'HPh' => 3.72506609848824E-14,
        'hh' => 3.72506609848824E-14,
        'Wh' => 2.77778049754611E-11,
        'wh' => 2.77778049754611E-11,
        'flb' => 2.37304336254586E-6,
        'BTU' => 9.47815522922962E-11,
        'btu' => 9.47815522922962E-11,
      ),
      'c' => array(
        'J' => 4.18399101363672,
        'e' => 41839890.0257312,
        'c' => 1.0,
        'cal' => 0.999330315287563,
        'eV' => 2.61142E+19,
        'ev' => 2.61142E+19,
        'HPh' => 1.55856355899327E-6,
        'hh' => 1.55856355899327E-6,
        'Wh' => 0.0011622203053295,
        'wh' => 0.0011622203053295,
        'flb' => 99.28787331521021,
        'BTU' => 0.00396564972437776,
        'btu' => 0.00396564972437776,
      ),
      'cal' => array(
        'J' => 4.18679484613929,
        'e' => 41867928.3372801,
        'c' => 1.00067013349059,
        'cal' => 1.0,
        'eV' => 2.61317E+19,
        'ev' => 2.61317E+19,
        'HPh' => 1.55960800463137E-6,
        'hh' => 1.55960800463137E-6,
        'Wh' => 0.00116299914807955,
        'wh' => 0.00116299914807955,
        'flb' => 99.3544094443283,
        'BTU' => 0.00396830723907002,
        'btu' => 0.00396830723907002,
      ),
      'eV' => array(
        'J' => 1.60219000146921E-19,
        'e' => 1.60218923136574E-12,
        'c' => 3.82933423195043E-20,
        'cal' => 3.82676978535648E-20,
        'eV' => 1.0,
        'ev' => 1.0,
        'HPh' => 5.968260789123441E-26,
        'hh' => 5.968260789123441E-26,
        'Wh' => 4.45053000026614E-23,
        'wh' => 4.45053000026614E-23,
        'flb' => 3.80206452103492E-18,
        'BTU' => 1.51857982414846E-22,
        'btu' => 1.51857982414846E-22,
      ),
      'ev' => array(
        'J' => 1.60219000146921E-19,
        'e' => 1.60218923136574E-12,
        'c' => 3.82933423195043E-20,
        'cal' => 3.82676978535648E-20,
        'eV' => 1.0,
        'ev' => 1.0,
        'HPh' => 5.968260789123441E-26,
        'hh' => 5.968260789123441E-26,
        'Wh' => 4.45053000026614E-23,
        'wh' => 4.45053000026614E-23,
        'flb' => 3.80206452103492E-18,
        'BTU' => 1.51857982414846E-22,
        'btu' => 1.51857982414846E-22,
      ),
      'HPh' => array(
        'J' => 2684517.4131617,
        'e' => 26845161228302.4,
        'c' => 641616.438565991,
        'cal' => 641186.7578458349,
        'eV' => 1.67553E+25,
        'ev' => 1.67553E+25,
        'HPh' => 1.0,
        'hh' => 1.0,
        'Wh' => 745.6996531345929,
        'wh' => 745.6996531345929,
        'flb' => 63704731.6692964,
        'BTU' => 2544.42605275546,
        'btu' => 2544.42605275546,
      ),
      'hh' => array(
        'J' => 2684517.4131617,
        'e' => 26845161228302.4,
        'c' => 641616.438565991,
        'cal' => 641186.7578458349,
        'eV' => 1.67553E+25,
        'ev' => 1.67553E+25,
        'HPh' => 1.0,
        'hh' => 1.0,
        'Wh' => 745.6996531345929,
        'wh' => 745.6996531345929,
        'flb' => 63704731.6692964,
        'BTU' => 2544.42605275546,
        'btu' => 2544.42605275546,
      ),
      'Wh' => array(
        'J' => 3599.9982055472,
        'e' => 35999964751.8369,
        'c' => 860.422069219046,
        'cal' => 859.845857713046,
        'eV' => 2.2469234E+22,
        'ev' => 2.2469234E+22,
        'HPh' => 0.00134102248243839,
        'hh' => 0.00134102248243839,
        'Wh' => 1.0,
        'wh' => 1.0,
        'flb' => 85429.4774062316,
        'BTU' => 3.41213254164705,
        'btu' => 3.41213254164705,
      ),
      'wh' => array(
        'J' => 3599.9982055472,
        'e' => 35999964751.8369,
        'c' => 860.422069219046,
        'cal' => 859.845857713046,
        'eV' => 2.2469234E+22,
        'ev' => 2.2469234E+22,
        'HPh' => 0.00134102248243839,
        'hh' => 0.00134102248243839,
        'Wh' => 1.0,
        'wh' => 1.0,
        'flb' => 85429.4774062316,
        'BTU' => 3.41213254164705,
        'btu' => 3.41213254164705,
      ),
      'flb' => array(
        'J' => 0.0421400003236424,
        'e' => 421399.80068766,
        'c' => 0.0100717234301644,
        'cal' => 0.0100649785509554,
        'eV' => 2.63015E+17,
        'ev' => 2.63015E+17,
        'HPh' => 1.5697421114513E-8,
        'hh' => 1.5697421114513E-8,
        'Wh' => 1.17055614802E-5,
        'wh' => 1.17055614802E-5,
        'flb' => 1.0,
        'BTU' => 3.99409272448406E-5,
        'btu' => 3.99409272448406E-5,
      ),
      'BTU' => array(
        'J' => 1055.05813786749,
        'e' => 10550576307.4665,
        'c' => 252.165488508168,
        'cal' => 251.99661713551,
        'eV' => 6.5851E+21,
        'ev' => 6.5851E+21,
        'HPh' => 0.000393015941224568,
        'hh' => 0.000393015941224568,
        'Wh' => 0.293071851047526,
        'wh' => 0.293071851047526,
        'flb' => 25036.9750774671,
        'BTU' => 1.0,
        'btu' => 1.0,
      ),
      'btu' => array(
        'J' => 1055.05813786749,
        'e' => 10550576307.4665,
        'c' => 252.165488508168,
        'cal' => 251.99661713551,
        'eV' => 6.5851E+21,
        'ev' => 6.5851E+21,
        'HPh' => 0.000393015941224568,
        'hh' => 0.000393015941224568,
        'Wh' => 0.293071851047526,
        'wh' => 0.293071851047526,
        'flb' => 25036.9750774671,
        'BTU' => 1.0,
        'btu' => 1.0,
      ),
    ),
    'Power' => array(
      'HP' => array(
        'HP' => 1.0,
        'h' => 1.0,
        'W' => 745.701,
        'w' => 745.701,
      ),
      'h' => array(
        'HP' => 1.0,
        'h' => 1.0,
        'W' => 745.701,
        'w' => 745.701,
      ),
      'W' => array(
        'HP' => 0.00134102006031908,
        'h' => 0.00134102006031908,
        'W' => 1.0,
        'w' => 1.0,
      ),
      'w' => array(
        'HP' => 0.00134102006031908,
        'h' => 0.00134102006031908,
        'W' => 1.0,
        'w' => 1.0,
      ),
    ),
    'Magnetism' => array(
      'T' => array(
        'T' => 1.0,
        'ga' => 10000.0,
      ),
      'ga' => array(
        'T' => 0.0001,
        'ga' => 1.0,
      ),
    ),
    'Liquid' => array(
      'tsp' => array(
        'tsp' => 1.0,
        'tbs' => 0.333333333333333,
        'oz' => 0.166666666666667,
        'cup' => 0.0208333333333333,
        'pt' => 0.0104166666666667,
        'us_pt' => 0.0104166666666667,
        'uk_pt' => 0.008675585168219599,
        'qt' => 0.00520833333333333,
        'gal' => 0.00130208333333333,
        'l' => 0.0049299940840071,
        'lt' => 0.0049299940840071,
      ),
      'tbs' => array(
        'tsp' => 3.0,
        'tbs' => 1.0,
        'oz' => 0.5,
        'cup' => 0.0625,
        'pt' => 0.03125,
        'us_pt' => 0.03125,
        'uk_pt' => 0.0260267555046588,
        'qt' => 0.015625,
        'gal' => 0.00390625,
        'l' => 0.0147899822520213,
        'lt' => 0.0147899822520213,
      ),
      'oz' => array(
        'tsp' => 6.0,
        'tbs' => 2.0,
        'oz' => 1.0,
        'cup' => 0.125,
        'pt' => 0.0625,
        'us_pt' => 0.0625,
        'uk_pt' => 0.0520535110093176,
        'qt' => 0.03125,
        'gal' => 0.0078125,
        'l' => 0.0295799645040426,
        'lt' => 0.0295799645040426,
      ),
      'cup' => array(
        'tsp' => 48.0,
        'tbs' => 16.0,
        'oz' => 8.0,
        'cup' => 1.0,
        'pt' => 0.5,
        'us_pt' => 0.5,
        'uk_pt' => 0.416428088074541,
        'qt' => 0.25,
        'gal' => 0.0625,
        'l' => 0.236639716032341,
        'lt' => 0.236639716032341,
      ),
      'pt' => array(
        'tsp' => 96.0,
        'tbs' => 32.0,
        'oz' => 16.0,
        'cup' => 2.0,
        'pt' => 1.0,
        'us_pt' => 1.0,
        'uk_pt' => 0.832856176149081,
        'qt' => 0.5,
        'gal' => 0.125,
        'l' => 0.473279432064682,
        'lt' => 0.473279432064682,
      ),
      'us_pt' => array(
        'tsp' => 96.0,
        'tbs' => 32.0,
        'oz' => 16.0,
        'cup' => 2.0,
        'pt' => 1.0,
        'us_pt' => 1.0,
        'uk_pt' => 0.832856176149081,
        'qt' => 0.5,
        'gal' => 0.125,
        'l' => 0.473279432064682,
        'lt' => 0.473279432064682,
      ),
      'uk_pt' => array(
        'tsp' => 115.266,
        'tbs' => 38.422,
        'oz' => 19.211,
        'cup' => 2.401375,
        'pt' => 1.2006875,
        'us_pt' => 1.2006875,
        'uk_pt' => 1.0,
        'qt' => 0.60034375,
        'gal' => 0.1500859375,
        'l' => 0.568260698087162,
        'lt' => 0.568260698087162,
      ),
      'qt' => array(
        'tsp' => 192.0,
        'tbs' => 64.0,
        'oz' => 32.0,
        'cup' => 4.0,
        'pt' => 2.0,
        'us_pt' => 2.0,
        'uk_pt' => 1.66571235229816,
        'qt' => 1.0,
        'gal' => 0.25,
        'l' => 0.946558864129363,
        'lt' => 0.946558864129363,
      ),
      'gal' => array(
        'tsp' => 768.0,
        'tbs' => 256.0,
        'oz' => 128.0,
        'cup' => 16.0,
        'pt' => 8.0,
        'us_pt' => 8.0,
        'uk_pt' => 6.66284940919265,
        'qt' => 4.0,
        'gal' => 1.0,
        'l' => 3.78623545651745,
        'lt' => 3.78623545651745,
      ),
      'l' => array(
        'tsp' => 202.84,
        'tbs' => 67.6133333333333,
        'oz' => 33.8066666666667,
        'cup' => 4.22583333333333,
        'pt' => 2.11291666666667,
        'us_pt' => 2.11291666666667,
        'uk_pt' => 1.75975569552166,
        'qt' => 1.05645833333333,
        'gal' => 0.264114583333333,
        'l' => 1.0,
        'lt' => 1.0,
      ),
      'lt' => array(
        'tsp' => 202.84,
        'tbs' => 67.6133333333333,
        'oz' => 33.8066666666667,
        'cup' => 4.22583333333333,
        'pt' => 2.11291666666667,
        'us_pt' => 2.11291666666667,
        'uk_pt' => 1.75975569552166,
        'qt' => 1.05645833333333,
        'gal' => 0.264114583333333,
        'l' => 1.0,
        'lt' => 1.0,
      ),
    ),
  );

  /**
   * _parseComplex
   *
   * Parses a complex number into its real and imaginary parts, and an I or J suffix
   *
   * @param	string		$complexNumber	The complex number
   * @return	string[]	Indexed on "real", "imaginary" and "suffix"
   */
  public static function _parseComplex($complexNumber) {
    $workString = (string) $complexNumber;
    $realNumber = $imaginary = 0;

    //	Extract the suffix, if there is one
    $suffix = substr($workString, -1);
    if (!is_numeric($suffix)) {
      $workString = substr($workString, 0, -1);
    }
    else {
      $suffix = '';
    }

    //	Split the input into its Real and Imaginary components
    $leadingSign = 0;
    if (strlen($workString) > 0) {
      $leadingSign = $workString[0] == '+' || $workString[0] == '-' ? 1 : 0;
    }
    $power = '';
    $realNumber = strtok($workString, '+-');
    if (strtoupper(substr($realNumber, -1)) == 'E') {
      $power = strtok('+-');
      ++$leadingSign;
    }
    $realNumber = substr($workString, 0, strlen($realNumber) + strlen($power) + $leadingSign);
    if ($suffix != '') {
      $imaginary = substr($workString, strlen($realNumber));
      if ($imaginary == '' && ($realNumber == '' || $realNumber == '+' || $realNumber == '-')) {
        $imaginary = $realNumber . '1';
        $realNumber = '0';
      }
      else {
        if ($imaginary == '') {
          $imaginary = $realNumber;
          $realNumber = '0';
        }
        elseif ($imaginary == '+' || $imaginary == '-') {
          $imaginary .= '1';
        }
      }
    }
    return array(
      'real' => $realNumber,
      'imaginary' => $imaginary,
      'suffix' => $suffix,
    );
  }

  //	function _parseComplex()

  /**
   * Cleans the leading characters in a complex number string
   *
   * @param	string		$complexNumber	The complex number to clean
   * @return	string		The "cleaned" complex number
   */
  private static function _cleanComplex($complexNumber) {
    if ($complexNumber[0] == '+') {
      $complexNumber = substr($complexNumber, 1);
    }
    if ($complexNumber[0] == '0') {
      $complexNumber = substr($complexNumber, 1);
    }
    if ($complexNumber[0] == '.') {
      $complexNumber = '0' . $complexNumber;
    }
    if ($complexNumber[0] == '+') {
      $complexNumber = substr($complexNumber, 1);
    }
    return $complexNumber;
  }

  /**
   * Formats a number base string value with leading zeroes
   *
   * @param	string		$xVal		The "number" to pad
   * @param	integer		$places		The length that we want to pad this value
   * @return	string		The padded "number"
   */
  private static function _nbrConversionFormat($xVal, $places) {
    if (!is_null($places)) {
      if (strlen($xVal) <= $places) {
        return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10);
      }
      else {
        return PHPExcel_Calculation_Functions::NaN();
      }
    }
    return substr($xVal, -10);
  }

  //	function _nbrConversionFormat()

  /**
   *	BESSELI
   *
   *	Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated
   *		for purely imaginary arguments
   *
   *	Excel Function:
   *		BESSELI(x,ord)
   *
   *	@access	public
   *	@category Engineering Functions
   *	@param	float		$x		The value at which to evaluate the function.
   *								If x is nonnumeric, BESSELI returns the #VALUE! error value.
   *	@param	integer		$ord	The order of the Bessel function.
   *								If ord is not an integer, it is truncated.
   *								If $ord is nonnumeric, BESSELI returns the #VALUE! error value.
   *								If $ord < 0, BESSELI returns the #NUM! error value.
   *	@return	float
   *
   */
  public static function BESSELI($x, $ord) {
    $x = is_null($x) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $ord = is_null($ord) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
    if (is_numeric($x) && is_numeric($ord)) {
      $ord = floor($ord);
      if ($ord < 0) {
        return PHPExcel_Calculation_Functions::NaN();
      }
      if (abs($x) <= 30) {
        $fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
        $ordK = 1;
        $fSqrX = $x * $x / 4;
        do {
          $fTerm *= $fSqrX;
          $fTerm /= $ordK * ($ordK + $ord);
          $fResult += $fTerm;
        } while (abs($fTerm) > 1.0E-12 && ++$ordK < 100);
      }
      else {
        $f_2_PI = 2 * M_PI;
        $fXAbs = abs($x);
        $fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs);
        if ($ord & 1 && $x < 0) {
          $fResult = -$fResult;
        }
      }
      return is_nan($fResult) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
    }
    return PHPExcel_Calculation_Functions::VALUE();
  }

  //	function BESSELI()

  /**
   *	BESSELJ
   *
   *	Returns the Bessel function
   *
   *	Excel Function:
   *		BESSELJ(x,ord)
   *
   *	@access	public
   *	@category Engineering Functions
   *	@param	float		$x		The value at which to evaluate the function.
   *								If x is nonnumeric, BESSELJ returns the #VALUE! error value.
   *	@param	integer		$ord	The order of the Bessel function. If n is not an integer, it is truncated.
   *								If $ord is nonnumeric, BESSELJ returns the #VALUE! error value.
   *								If $ord < 0, BESSELJ returns the #NUM! error value.
   *	@return	float
   *
   */
  public static function BESSELJ($x, $ord) {
    $x = is_null($x) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $ord = is_null($ord) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
    if (is_numeric($x) && is_numeric($ord)) {
      $ord = floor($ord);
      if ($ord < 0) {
        return PHPExcel_Calculation_Functions::NaN();
      }
      $fResult = 0;
      if (abs($x) <= 30) {
        $fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
        $ordK = 1;
        $fSqrX = $x * $x / -4;
        do {
          $fTerm *= $fSqrX;
          $fTerm /= $ordK * ($ordK + $ord);
          $fResult += $fTerm;
        } while (abs($fTerm) > 1.0E-12 && ++$ordK < 100);
      }
      else {
        $f_PI_DIV_2 = M_PI / 2;
        $f_PI_DIV_4 = M_PI / 4;
        $fXAbs = abs($x);
        $fResult = sqrt(M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4);
        if ($ord & 1 && $x < 0) {
          $fResult = -$fResult;
        }
      }
      return is_nan($fResult) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
    }
    return PHPExcel_Calculation_Functions::VALUE();
  }

  //	function BESSELJ()
  private static function _Besselk0($fNum) {
    if ($fNum <= 2) {
      $fNum2 = $fNum * 0.5;
      $y = $fNum2 * $fNum2;
      $fRet = -log($fNum2) * self::BESSELI($fNum, 0) + (-0.57721566 + $y * (0.4227842 + $y * (0.23069756 + $y * (0.0348859 + $y * (0.00262698 + $y * (0.0001075 + $y * 7.4E-6))))));
    }
    else {
      $y = 2 / $fNum;
      $fRet = exp(-$fNum) / sqrt($fNum) * (1.25331414 + $y * (-0.07832358 + $y * (0.02189568 + $y * (-0.01062446 + $y * (0.00587872 + $y * (-0.0025154 + $y * 0.00053208))))));
    }
    return $fRet;
  }

  //	function _Besselk0()
  private static function _Besselk1($fNum) {
    if ($fNum <= 2) {
      $fNum2 = $fNum * 0.5;
      $y = $fNum2 * $fNum2;
      $fRet = log($fNum2) * self::BESSELI($fNum, 1) + (1 + $y * (0.15443144 + $y * (-0.6727857900000001 + $y * (-0.18156897 + $y * (-0.01919402 + $y * (-0.00110404 + $y * -4.686E-5)))))) / $fNum;
    }
    else {
      $y = 2 / $fNum;
      $fRet = exp(-$fNum) / sqrt($fNum) * (1.25331414 + $y * (0.23498619 + $y * (-0.0365562 + $y * (0.01504268 + $y * (-0.00780353 + $y * (0.00325614 + $y * -0.00068245))))));
    }
    return $fRet;
  }

  //	function _Besselk1()

  /**
   *	BESSELK
   *
   *	Returns the modified Bessel function Kn(x), which is equivalent to the Bessel functions evaluated
   *		for purely imaginary arguments.
   *
   *	Excel Function:
   *		BESSELK(x,ord)
   *
   *	@access	public
   *	@category Engineering Functions
   *	@param	float		$x		The value at which to evaluate the function.
   *								If x is nonnumeric, BESSELK returns the #VALUE! error value.
   *	@param	integer		$ord	The order of the Bessel function. If n is not an integer, it is truncated.
   *								If $ord is nonnumeric, BESSELK returns the #VALUE! error value.
   *								If $ord < 0, BESSELK returns the #NUM! error value.
   *	@return	float
   *
   */
  public static function BESSELK($x, $ord) {
    $x = is_null($x) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $ord = is_null($ord) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
    if (is_numeric($x) && is_numeric($ord)) {
      if ($ord < 0 || $x == 0.0) {
        return PHPExcel_Calculation_Functions::NaN();
      }
      switch (floor($ord)) {
        case 0:
          return self::_Besselk0($x);
          break;
        case 1:
          return self::_Besselk1($x);
          break;
        default:
          $fTox = 2 / $x;
          $fBkm = self::_Besselk0($x);
          $fBk = self::_Besselk1($x);
          for ($n = 1; $n < $ord; ++$n) {
            $fBkp = $fBkm + $n * $fTox * $fBk;
            $fBkm = $fBk;
            $fBk = $fBkp;
          }
      }
      return is_nan($fBk) ? PHPExcel_Calculation_Functions::NaN() : $fBk;
    }
    return PHPExcel_Calculation_Functions::VALUE();
  }

  //	function BESSELK()
  private static function _Bessely0($fNum) {
    if ($fNum < 8.0) {
      $y = $fNum * $fNum;
      $f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733))));
      $f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.2647 + $y * (226.1030244 + $y))));
      $fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum);
    }
    else {
      $z = 8.0 / $fNum;
      $y = $z * $z;
      $xx = $fNum - 0.785398164;
      $f1 = 1 + $y * (-0.001098628627 + $y * (2.734510407E-5 + $y * (-2.073370639E-6 + $y * 2.093887211E-7)));
      $f2 = -0.01562499995 + $y * (0.0001430488765 + $y * (-6.911147651E-6 + $y * (7.621095161000001E-7 + $y * -9.34945152E-8)));
      $fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2);
    }
    return $fRet;
  }

  //	function _Bessely0()
  private static function _Bessely1($fNum) {
    if ($fNum < 8.0) {
      $y = $fNum * $fNum;
      $f1 = $fNum * (-4900604943000.0 + $y * (1275274390000.0 + $y * (-51534381390.0 + $y * (734926455.1 + $y * (-4237922.726 + $y * 8511.937935)))));
      $f2 = 24995805700000.0 + $y * (424441966400.0 + $y * (3733650367.0 + $y * (22459040.02 + $y * (102042.605 + $y * (354.9632885 + $y)))));
      $fRet = $f1 / $f2 + 0.636619772 * (self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum);
    }
    else {
      $fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491);
    }
    return $fRet;
  }

  //	function _Bessely1()

  /**
   *	BESSELY
   *
   *	Returns the Bessel function, which is also called the Weber function or the Neumann function.
   *
   *	Excel Function:
   *		BESSELY(x,ord)
   *
   *	@access	public
   *	@category Engineering Functions
   *	@param	float		$x		The value at which to evaluate the function.
   *								If x is nonnumeric, BESSELK returns the #VALUE! error value.
   *	@param	integer		$ord	The order of the Bessel function. If n is not an integer, it is truncated.
   *								If $ord is nonnumeric, BESSELK returns the #VALUE! error value.
   *								If $ord < 0, BESSELK returns the #NUM! error value.
   *
   *	@return	float
   */
  public static function BESSELY($x, $ord) {
    $x = is_null($x) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $ord = is_null($ord) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
    if (is_numeric($x) && is_numeric($ord)) {
      if ($ord < 0 || $x == 0.0) {
        return PHPExcel_Calculation_Functions::NaN();
      }
      switch (floor($ord)) {
        case 0:
          return self::_Bessely0($x);
          break;
        case 1:
          return self::_Bessely1($x);
          break;
        default:
          $fTox = 2 / $x;
          $fBym = self::_Bessely0($x);
          $fBy = self::_Bessely1($x);
          for ($n = 1; $n < $ord; ++$n) {
            $fByp = $n * $fTox * $fBy - $fBym;
            $fBym = $fBy;
            $fBy = $fByp;
          }
      }
      return is_nan($fBy) ? PHPExcel_Calculation_Functions::NaN() : $fBy;
    }
    return PHPExcel_Calculation_Functions::VALUE();
  }

  //	function BESSELY()

  /**
   * BINTODEC
   *
   * Return a binary value as decimal.
   *
   * Excel Function:
   *		BIN2DEC(x)
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The binary number (as a string) that you want to convert. The number
   *								cannot contain more than 10 characters (10 bits). The most significant
   *								bit of number is the sign bit. The remaining 9 bits are magnitude bits.
   *								Negative numbers are represented using two's-complement notation.
   *								If number is not a valid binary number, or if number contains more than
   *								10 characters (10 bits), BIN2DEC returns the #NUM! error value.
   * @return	string
   */
  public static function BINTODEC($x) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    if (is_bool($x)) {
      if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
        $x = (int) $x;
      }
      else {
        return PHPExcel_Calculation_Functions::VALUE();
      }
    }
    if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
      $x = floor($x);
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[01]/', $x, $out)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    if (strlen($x) > 10) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    elseif (strlen($x) == 10) {

      //	Two's Complement
      $x = substr($x, -9);
      return '-' . (512 - bindec($x));
    }
    return bindec($x);
  }

  //	function BINTODEC()

  /**
   * BINTOHEX
   *
   * Return a binary value as hex.
   *
   * Excel Function:
   *		BIN2HEX(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The binary number (as a string) that you want to convert. The number
   *								cannot contain more than 10 characters (10 bits). The most significant
   *								bit of number is the sign bit. The remaining 9 bits are magnitude bits.
   *								Negative numbers are represented using two's-complement notation.
   *								If number is not a valid binary number, or if number contains more than
   *								10 characters (10 bits), BIN2HEX returns the #NUM! error value.
   * @param	integer		$places	The number of characters to use. If places is omitted, BIN2HEX uses the
   *								minimum number of characters necessary. Places is useful for padding the
   *								return value with leading 0s (zeros).
   *								If places is not an integer, it is truncated.
   *								If places is nonnumeric, BIN2HEX returns the #VALUE! error value.
   *								If places is negative, BIN2HEX returns the #NUM! error value.
   * @return	string
   */
  public static function BINTOHEX($x, $places = NULL) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
        $x = (int) $x;
      }
      else {
        return PHPExcel_Calculation_Functions::VALUE();
      }
    }
    if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
      $x = floor($x);
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[01]/', $x, $out)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    if (strlen($x) > 10) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    elseif (strlen($x) == 10) {

      //	Two's Complement
      return str_repeat('F', 8) . substr(strtoupper(dechex(bindec(substr($x, -9)))), -2);
    }
    $hexVal = (string) strtoupper(dechex(bindec($x)));
    return self::_nbrConversionFormat($hexVal, $places);
  }

  //	function BINTOHEX()

  /**
   * BINTOOCT
   *
   * Return a binary value as octal.
   *
   * Excel Function:
   *		BIN2OCT(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The binary number (as a string) that you want to convert. The number
   *								cannot contain more than 10 characters (10 bits). The most significant
   *								bit of number is the sign bit. The remaining 9 bits are magnitude bits.
   *								Negative numbers are represented using two's-complement notation.
   *								If number is not a valid binary number, or if number contains more than
   *								10 characters (10 bits), BIN2OCT returns the #NUM! error value.
   * @param	integer		$places	The number of characters to use. If places is omitted, BIN2OCT uses the
   *								minimum number of characters necessary. Places is useful for padding the
   *								return value with leading 0s (zeros).
   *								If places is not an integer, it is truncated.
   *								If places is nonnumeric, BIN2OCT returns the #VALUE! error value.
   *								If places is negative, BIN2OCT returns the #NUM! error value.
   * @return	string
   */
  public static function BINTOOCT($x, $places = NULL) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
        $x = (int) $x;
      }
      else {
        return PHPExcel_Calculation_Functions::VALUE();
      }
    }
    if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
      $x = floor($x);
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[01]/', $x, $out)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    if (strlen($x) > 10) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    elseif (strlen($x) == 10) {

      //	Two's Complement
      return str_repeat('7', 7) . substr(strtoupper(decoct(bindec(substr($x, -9)))), -3);
    }
    $octVal = (string) decoct(bindec($x));
    return self::_nbrConversionFormat($octVal, $places);
  }

  //	function BINTOOCT()

  /**
   * DECTOBIN
   *
   * Return a decimal value as binary.
   *
   * Excel Function:
   *		DEC2BIN(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The decimal integer you want to convert. If number is negative,
   *								valid place values are ignored and DEC2BIN returns a 10-character
   *								(10-bit) binary number in which the most significant bit is the sign
   *								bit. The remaining 9 bits are magnitude bits. Negative numbers are
   *								represented using two's-complement notation.
   *								If number < -512 or if number > 511, DEC2BIN returns the #NUM! error
   *								value.
   *								If number is nonnumeric, DEC2BIN returns the #VALUE! error value.
   *								If DEC2BIN requires more than places characters, it returns the #NUM!
   *								error value.
   * @param	integer		$places	The number of characters to use. If places is omitted, DEC2BIN uses
   *								the minimum number of characters necessary. Places is useful for
   *								padding the return value with leading 0s (zeros).
   *								If places is not an integer, it is truncated.
   *								If places is nonnumeric, DEC2BIN returns the #VALUE! error value.
   *								If places is zero or negative, DEC2BIN returns the #NUM! error value.
   * @return	string
   */
  public static function DECTOBIN($x, $places = NULL) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
        $x = (int) $x;
      }
      else {
        return PHPExcel_Calculation_Functions::VALUE();
      }
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) floor($x);
    $r = decbin($x);
    if (strlen($r) == 32) {

      //	Two's Complement
      $r = substr($r, -10);
    }
    elseif (strlen($r) > 11) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    return self::_nbrConversionFormat($r, $places);
  }

  //	function DECTOBIN()

  /**
   * DECTOHEX
   *
   * Return a decimal value as hex.
   *
   * Excel Function:
   *		DEC2HEX(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The decimal integer you want to convert. If number is negative,
   *								places is ignored and DEC2HEX returns a 10-character (40-bit)
   *								hexadecimal number in which the most significant bit is the sign
   *								bit. The remaining 39 bits are magnitude bits. Negative numbers
   *								are represented using two's-complement notation.
   *								If number < -549,755,813,888 or if number > 549,755,813,887,
   *								DEC2HEX returns the #NUM! error value.
   *								If number is nonnumeric, DEC2HEX returns the #VALUE! error value.
   *								If DEC2HEX requires more than places characters, it returns the
   *								#NUM! error value.
   * @param	integer		$places	The number of characters to use. If places is omitted, DEC2HEX uses
   *								the minimum number of characters necessary. Places is useful for
   *								padding the return value with leading 0s (zeros).
   *								If places is not an integer, it is truncated.
   *								If places is nonnumeric, DEC2HEX returns the #VALUE! error value.
   *								If places is zero or negative, DEC2HEX returns the #NUM! error value.
   * @return	string
   */
  public static function DECTOHEX($x, $places = null) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
        $x = (int) $x;
      }
      else {
        return PHPExcel_Calculation_Functions::VALUE();
      }
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) floor($x);
    $r = strtoupper(dechex($x));
    if (strlen($r) == 8) {

      //	Two's Complement
      $r = 'FF' . $r;
    }
    return self::_nbrConversionFormat($r, $places);
  }

  //	function DECTOHEX()

  /**
   * DECTOOCT
   *
   * Return an decimal value as octal.
   *
   * Excel Function:
   *		DEC2OCT(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The decimal integer you want to convert. If number is negative,
   *								places is ignored and DEC2OCT returns a 10-character (30-bit)
   *								octal number in which the most significant bit is the sign bit.
   *								The remaining 29 bits are magnitude bits. Negative numbers are
   *								represented using two's-complement notation.
   *								If number < -536,870,912 or if number > 536,870,911, DEC2OCT
   *								returns the #NUM! error value.
   *								If number is nonnumeric, DEC2OCT returns the #VALUE! error value.
   *								If DEC2OCT requires more than places characters, it returns the
   *								#NUM! error value.
   * @param	integer		$places	The number of characters to use. If places is omitted, DEC2OCT uses
   *								the minimum number of characters necessary. Places is useful for
   *								padding the return value with leading 0s (zeros).
   *								If places is not an integer, it is truncated.
   *								If places is nonnumeric, DEC2OCT returns the #VALUE! error value.
   *								If places is zero or negative, DEC2OCT returns the #NUM! error value.
   * @return	string
   */
  public static function DECTOOCT($x, $places = null) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
        $x = (int) $x;
      }
      else {
        return PHPExcel_Calculation_Functions::VALUE();
      }
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) floor($x);
    $r = decoct($x);
    if (strlen($r) == 11) {

      //	Two's Complement
      $r = substr($r, -10);
    }
    return self::_nbrConversionFormat($r, $places);
  }

  //	function DECTOOCT()

  /**
   * HEXTOBIN
   *
   * Return a hex value as binary.
   *
   * Excel Function:
   *		HEX2BIN(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x			the hexadecimal number you want to convert. Number cannot
   *									contain more than 10 characters. The most significant bit of
   *									number is the sign bit (40th bit from the right). The remaining
   *									9 bits are magnitude bits. Negative numbers are represented
   *									using two's-complement notation.
   *									If number is negative, HEX2BIN ignores places and returns a
   *									10-character binary number.
   *									If number is negative, it cannot be less than FFFFFFFE00, and
   *									if number is positive, it cannot be greater than 1FF.
   *									If number is not a valid hexadecimal number, HEX2BIN returns
   *									the #NUM! error value.
   *									If HEX2BIN requires more than places characters, it returns
   *									the #NUM! error value.
   * @param	integer		$places		The number of characters to use. If places is omitted,
   *									HEX2BIN uses the minimum number of characters necessary. Places
   *									is useful for padding the return value with leading 0s (zeros).
   *									If places is not an integer, it is truncated.
   *									If places is nonnumeric, HEX2BIN returns the #VALUE! error value.
   *									If places is negative, HEX2BIN returns the #NUM! error value.
   * @return	string
   */
  public static function HEXTOBIN($x, $places = null) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    $binVal = decbin(hexdec($x));
    return substr(self::_nbrConversionFormat($binVal, $places), -10);
  }

  //	function HEXTOBIN()

  /**
   * HEXTODEC
   *
   * Return a hex value as decimal.
   *
   * Excel Function:
   *		HEX2DEC(x)
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The hexadecimal number you want to convert. This number cannot
   *								contain more than 10 characters (40 bits). The most significant
   *								bit of number is the sign bit. The remaining 39 bits are magnitude
   *								bits. Negative numbers are represented using two's-complement
   *								notation.
   *								If number is not a valid hexadecimal number, HEX2DEC returns the
   *								#NUM! error value.
   * @return	string
   */
  public static function HEXTODEC($x) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    if (is_bool($x)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    return hexdec($x);
  }

  //	function HEXTODEC()

  /**
   * HEXTOOCT
   *
   * Return a hex value as octal.
   *
   * Excel Function:
   *		HEX2OCT(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x			The hexadecimal number you want to convert. Number cannot
   *									contain more than 10 characters. The most significant bit of
   *									number is the sign bit. The remaining 39 bits are magnitude
   *									bits. Negative numbers are represented using two's-complement
   *									notation.
   *									If number is negative, HEX2OCT ignores places and returns a
   *									10-character octal number.
   *									If number is negative, it cannot be less than FFE0000000, and
   *									if number is positive, it cannot be greater than 1FFFFFFF.
   *									If number is not a valid hexadecimal number, HEX2OCT returns
   *									the #NUM! error value.
   *									If HEX2OCT requires more than places characters, it returns
   *									the #NUM! error value.
   * @param	integer		$places		The number of characters to use. If places is omitted, HEX2OCT
   *									uses the minimum number of characters necessary. Places is
   *									useful for padding the return value with leading 0s (zeros).
   *									If places is not an integer, it is truncated.
   *									If places is nonnumeric, HEX2OCT returns the #VALUE! error
   *									value.
   *									If places is negative, HEX2OCT returns the #NUM! error value.
   * @return	string
   */
  public static function HEXTOOCT($x, $places = null) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) $x;
    if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    $octVal = decoct(hexdec($x));
    return self::_nbrConversionFormat($octVal, $places);
  }

  //	function HEXTOOCT()

  /**
   * OCTTOBIN
   *
   * Return an octal value as binary.
   *
   * Excel Function:
   *		OCT2BIN(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x			The octal number you want to convert. Number may not
   *									contain more than 10 characters. The most significant
   *									bit of number is the sign bit. The remaining 29 bits
   *									are magnitude bits. Negative numbers are represented
   *									using two's-complement notation.
   *									If number is negative, OCT2BIN ignores places and returns
   *									a 10-character binary number.
   *									If number is negative, it cannot be less than 7777777000,
   *									and if number is positive, it cannot be greater than 777.
   *									If number is not a valid octal number, OCT2BIN returns
   *									the #NUM! error value.
   *									If OCT2BIN requires more than places characters, it
   *									returns the #NUM! error value.
   * @param	integer		$places		The number of characters to use. If places is omitted,
   *									OCT2BIN uses the minimum number of characters necessary.
   *									Places is useful for padding the return value with
   *									leading 0s (zeros).
   *									If places is not an integer, it is truncated.
   *									If places is nonnumeric, OCT2BIN returns the #VALUE!
   *									error value.
   *									If places is negative, OCT2BIN returns the #NUM! error
   *									value.
   * @return	string
   */
  public static function OCTTOBIN($x, $places = null) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) $x;
    if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    $r = decbin(octdec($x));
    return self::_nbrConversionFormat($r, $places);
  }

  //	function OCTTOBIN()

  /**
   * OCTTODEC
   *
   * Return an octal value as decimal.
   *
   * Excel Function:
   *		OCT2DEC(x)
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x		The octal number you want to convert. Number may not contain
   *								more than 10 octal characters (30 bits). The most significant
   *								bit of number is the sign bit. The remaining 29 bits are
   *								magnitude bits. Negative numbers are represented using
   *								two's-complement notation.
   *								If number is not a valid octal number, OCT2DEC returns the
   *								#NUM! error value.
   * @return	string
   */
  public static function OCTTODEC($x) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    if (is_bool($x)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) $x;
    if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    return octdec($x);
  }

  //	function OCTTODEC()

  /**
   * OCTTOHEX
   *
   * Return an octal value as hex.
   *
   * Excel Function:
   *		OCT2HEX(x[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$x			The octal number you want to convert. Number may not contain
   *									more than 10 octal characters (30 bits). The most significant
   *									bit of number is the sign bit. The remaining 29 bits are
   *									magnitude bits. Negative numbers are represented using
   *									two's-complement notation.
   *									If number is negative, OCT2HEX ignores places and returns a
   *									10-character hexadecimal number.
   *									If number is not a valid octal number, OCT2HEX returns the
   *									#NUM! error value.
   *									If OCT2HEX requires more than places characters, it returns
   *									the #NUM! error value.
   * @param	integer		$places		The number of characters to use. If places is omitted, OCT2HEX
   *									uses the minimum number of characters necessary. Places is useful
   *									for padding the return value with leading 0s (zeros).
   *									If places is not an integer, it is truncated.
   *									If places is nonnumeric, OCT2HEX returns the #VALUE! error value.
   *									If places is negative, OCT2HEX returns the #NUM! error value.
   * @return	string
   */
  public static function OCTTOHEX($x, $places = null) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    $places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
    if (is_bool($x)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $x = (string) $x;
    if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    $hexVal = strtoupper(dechex(octdec($x)));
    return self::_nbrConversionFormat($hexVal, $places);
  }

  //	function OCTTOHEX()

  /**
   * COMPLEX
   *
   * Converts real and imaginary coefficients into a complex number of the form x + yi or x + yj.
   *
   * Excel Function:
   *		COMPLEX(realNumber,imaginary[,places])
   *
   * @access	public
   * @category Engineering Functions
   * @param	float		$realNumber		The real coefficient of the complex number.
   * @param	float		$imaginary		The imaginary coefficient of the complex number.
   * @param	string		$suffix			The suffix for the imaginary component of the complex number.
   *										If omitted, the suffix is assumed to be "i".
   * @return	string
   */
  public static function COMPLEX($realNumber = 0.0, $imaginary = 0.0, $suffix = 'i') {
    $realNumber = is_null($realNumber) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
    $imaginary = is_null($imaginary) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($imaginary);
    $suffix = is_null($suffix) ? 'i' : PHPExcel_Calculation_Functions::flattenSingleValue($suffix);
    if (is_numeric($realNumber) && is_numeric($imaginary) && ($suffix == 'i' || $suffix == 'j' || $suffix == '')) {
      $realNumber = (double) $realNumber;
      $imaginary = (double) $imaginary;
      if ($suffix == '') {
        $suffix = 'i';
      }
      if ($realNumber == 0.0) {
        if ($imaginary == 0.0) {
          return (string) '0';
        }
        elseif ($imaginary == 1.0) {
          return (string) $suffix;
        }
        elseif ($imaginary == -1.0) {
          return (string) '-' . $suffix;
        }
        return (string) $imaginary . $suffix;
      }
      elseif ($imaginary == 0.0) {
        return (string) $realNumber;
      }
      elseif ($imaginary == 1.0) {
        return (string) $realNumber . '+' . $suffix;
      }
      elseif ($imaginary == -1.0) {
        return (string) $realNumber . '-' . $suffix;
      }
      if ($imaginary > 0) {
        $imaginary = (string) '+' . $imaginary;
      }
      return (string) $realNumber . $imaginary . $suffix;
    }
    return PHPExcel_Calculation_Functions::VALUE();
  }

  //	function COMPLEX()

  /**
   * IMAGINARY
   *
   * Returns the imaginary coefficient of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMAGINARY(complexNumber)
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$complexNumber	The complex number for which you want the imaginary
   * 										coefficient.
   * @return	float
   */
  public static function IMAGINARY($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    return $parsedComplex['imaginary'];
  }

  //	function IMAGINARY()

  /**
   * IMREAL
   *
   * Returns the real coefficient of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMREAL(complexNumber)
   *
   * @access	public
   * @category Engineering Functions
   * @param	string		$complexNumber	The complex number for which you want the real coefficient.
   * @return	float
   */
  public static function IMREAL($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    return $parsedComplex['real'];
  }

  //	function IMREAL()

  /**
   * IMABS
   *
   * Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMABS(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the absolute value.
   * @return	float
   */
  public static function IMABS($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    return sqrt($parsedComplex['real'] * $parsedComplex['real'] + $parsedComplex['imaginary'] * $parsedComplex['imaginary']);
  }

  //	function IMABS()

  /**
   * IMARGUMENT
   *
   * Returns the argument theta of a complex number, i.e. the angle in radians from the real
   * axis to the representation of the number in polar coordinates.
   *
   * Excel Function:
   *		IMARGUMENT(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the argument theta.
   * @return	float
   */
  public static function IMARGUMENT($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['real'] == 0.0) {
      if ($parsedComplex['imaginary'] == 0.0) {
        return 0.0;
      }
      elseif ($parsedComplex['imaginary'] < 0.0) {
        return M_PI / -2;
      }
      else {
        return M_PI / 2;
      }
    }
    elseif ($parsedComplex['real'] > 0.0) {
      return atan($parsedComplex['imaginary'] / $parsedComplex['real']);
    }
    elseif ($parsedComplex['imaginary'] < 0.0) {
      return 0 - (M_PI - atan(abs($parsedComplex['imaginary']) / abs($parsedComplex['real'])));
    }
    else {
      return M_PI - atan($parsedComplex['imaginary'] / abs($parsedComplex['real']));
    }
  }

  //	function IMARGUMENT()

  /**
   * IMCONJUGATE
   *
   * Returns the complex conjugate of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMCONJUGATE(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the conjugate.
   * @return	string
   */
  public static function IMCONJUGATE($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['imaginary'] == 0.0) {
      return $parsedComplex['real'];
    }
    else {
      return self::_cleanComplex(self::COMPLEX($parsedComplex['real'], 0 - $parsedComplex['imaginary'], $parsedComplex['suffix']));
    }
  }

  //	function IMCONJUGATE()

  /**
   * IMCOS
   *
   * Returns the cosine of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMCOS(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the cosine.
   * @return	string|float
   */
  public static function IMCOS($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['imaginary'] == 0.0) {
      return cos($parsedComplex['real']);
    }
    else {
      return self::IMCONJUGATE(self::COMPLEX(cos($parsedComplex['real']) * cosh($parsedComplex['imaginary']), sin($parsedComplex['real']) * sinh($parsedComplex['imaginary']), $parsedComplex['suffix']));
    }
  }

  //	function IMCOS()

  /**
   * IMSIN
   *
   * Returns the sine of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMSIN(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the sine.
   * @return	string|float
   */
  public static function IMSIN($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['imaginary'] == 0.0) {
      return sin($parsedComplex['real']);
    }
    else {
      return self::COMPLEX(sin($parsedComplex['real']) * cosh($parsedComplex['imaginary']), cos($parsedComplex['real']) * sinh($parsedComplex['imaginary']), $parsedComplex['suffix']);
    }
  }

  //	function IMSIN()

  /**
   * IMSQRT
   *
   * Returns the square root of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMSQRT(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the square root.
   * @return	string
   */
  public static function IMSQRT($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    $theta = self::IMARGUMENT($complexNumber);
    $d1 = cos($theta / 2);
    $d2 = sin($theta / 2);
    $r = sqrt(sqrt($parsedComplex['real'] * $parsedComplex['real'] + $parsedComplex['imaginary'] * $parsedComplex['imaginary']));
    if ($parsedComplex['suffix'] == '') {
      return self::COMPLEX($d1 * $r, $d2 * $r);
    }
    else {
      return self::COMPLEX($d1 * $r, $d2 * $r, $parsedComplex['suffix']);
    }
  }

  //	function IMSQRT()

  /**
   * IMLN
   *
   * Returns the natural logarithm of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMLN(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the natural logarithm.
   * @return	string
   */
  public static function IMLN($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['real'] == 0.0 && $parsedComplex['imaginary'] == 0.0) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    $logR = log(sqrt($parsedComplex['real'] * $parsedComplex['real'] + $parsedComplex['imaginary'] * $parsedComplex['imaginary']));
    $t = self::IMARGUMENT($complexNumber);
    if ($parsedComplex['suffix'] == '') {
      return self::COMPLEX($logR, $t);
    }
    else {
      return self::COMPLEX($logR, $t, $parsedComplex['suffix']);
    }
  }

  //	function IMLN()

  /**
   * IMLOG10
   *
   * Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMLOG10(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the common logarithm.
   * @return	string
   */
  public static function IMLOG10($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['real'] == 0.0 && $parsedComplex['imaginary'] == 0.0) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    elseif ($parsedComplex['real'] > 0.0 && $parsedComplex['imaginary'] == 0.0) {
      return log10($parsedComplex['real']);
    }
    return self::IMPRODUCT(log10(EULER), self::IMLN($complexNumber));
  }

  //	function IMLOG10()

  /**
   * IMLOG2
   *
   * Returns the base-2 logarithm of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMLOG2(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the base-2 logarithm.
   * @return	string
   */
  public static function IMLOG2($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['real'] == 0.0 && $parsedComplex['imaginary'] == 0.0) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    elseif ($parsedComplex['real'] > 0.0 && $parsedComplex['imaginary'] == 0.0) {
      return log($parsedComplex['real'], 2);
    }
    return self::IMPRODUCT(log(EULER, 2), self::IMLN($complexNumber));
  }

  //	function IMLOG2()

  /**
   * IMEXP
   *
   * Returns the exponential of a complex number in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMEXP(complexNumber)
   *
   * @param	string		$complexNumber	The complex number for which you want the exponential.
   * @return	string
   */
  public static function IMEXP($complexNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $parsedComplex = self::_parseComplex($complexNumber);
    if ($parsedComplex['real'] == 0.0 && $parsedComplex['imaginary'] == 0.0) {
      return '1';
    }
    $e = exp($parsedComplex['real']);
    $eX = $e * cos($parsedComplex['imaginary']);
    $eY = $e * sin($parsedComplex['imaginary']);
    if ($parsedComplex['suffix'] == '') {
      return self::COMPLEX($eX, $eY);
    }
    else {
      return self::COMPLEX($eX, $eY, $parsedComplex['suffix']);
    }
  }

  //	function IMEXP()

  /**
   * IMPOWER
   *
   * Returns a complex number in x + yi or x + yj text format raised to a power.
   *
   * Excel Function:
   *		IMPOWER(complexNumber,realNumber)
   *
   * @param	string		$complexNumber	The complex number you want to raise to a power.
   * @param	float		$realNumber		The power to which you want to raise the complex number.
   * @return	string
   */
  public static function IMPOWER($complexNumber, $realNumber) {
    $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
    $realNumber = PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
    if (!is_numeric($realNumber)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $parsedComplex = self::_parseComplex($complexNumber);
    $r = sqrt($parsedComplex['real'] * $parsedComplex['real'] + $parsedComplex['imaginary'] * $parsedComplex['imaginary']);
    $rPower = pow($r, $realNumber);
    $theta = self::IMARGUMENT($complexNumber) * $realNumber;
    if ($theta == 0) {
      return 1;
    }
    elseif ($parsedComplex['imaginary'] == 0.0) {
      return self::COMPLEX($rPower * cos($theta), $rPower * sin($theta), $parsedComplex['suffix']);
    }
    else {
      return self::COMPLEX($rPower * cos($theta), $rPower * sin($theta), $parsedComplex['suffix']);
    }
  }

  //	function IMPOWER()

  /**
   * IMDIV
   *
   * Returns the quotient of two complex numbers in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMDIV(complexDividend,complexDivisor)
   *
   * @param	string		$complexDividend	The complex numerator or dividend.
   * @param	string		$complexDivisor		The complex denominator or divisor.
   * @return	string
   */
  public static function IMDIV($complexDividend, $complexDivisor) {
    $complexDividend = PHPExcel_Calculation_Functions::flattenSingleValue($complexDividend);
    $complexDivisor = PHPExcel_Calculation_Functions::flattenSingleValue($complexDivisor);
    $parsedComplexDividend = self::_parseComplex($complexDividend);
    $parsedComplexDivisor = self::_parseComplex($complexDivisor);
    if ($parsedComplexDividend['suffix'] != '' && $parsedComplexDivisor['suffix'] != '' && $parsedComplexDividend['suffix'] != $parsedComplexDivisor['suffix']) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    if ($parsedComplexDividend['suffix'] != '' && $parsedComplexDivisor['suffix'] == '') {
      $parsedComplexDivisor['suffix'] = $parsedComplexDividend['suffix'];
    }
    $d1 = $parsedComplexDividend['real'] * $parsedComplexDivisor['real'] + $parsedComplexDividend['imaginary'] * $parsedComplexDivisor['imaginary'];
    $d2 = $parsedComplexDividend['imaginary'] * $parsedComplexDivisor['real'] - $parsedComplexDividend['real'] * $parsedComplexDivisor['imaginary'];
    $d3 = $parsedComplexDivisor['real'] * $parsedComplexDivisor['real'] + $parsedComplexDivisor['imaginary'] * $parsedComplexDivisor['imaginary'];
    $r = $d1 / $d3;
    $i = $d2 / $d3;
    if ($i > 0.0) {
      return self::_cleanComplex($r . '+' . $i . $parsedComplexDivisor['suffix']);
    }
    elseif ($i < 0.0) {
      return self::_cleanComplex($r . $i . $parsedComplexDivisor['suffix']);
    }
    else {
      return $r;
    }
  }

  //	function IMDIV()

  /**
   * IMSUB
   *
   * Returns the difference of two complex numbers in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMSUB(complexNumber1,complexNumber2)
   *
   * @param	string		$complexNumber1		The complex number from which to subtract complexNumber2.
   * @param	string		$complexNumber2		The complex number to subtract from complexNumber1.
   * @return	string
   */
  public static function IMSUB($complexNumber1, $complexNumber2) {
    $complexNumber1 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber1);
    $complexNumber2 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber2);
    $parsedComplex1 = self::_parseComplex($complexNumber1);
    $parsedComplex2 = self::_parseComplex($complexNumber2);
    if ($parsedComplex1['suffix'] != '' && $parsedComplex2['suffix'] != '' && $parsedComplex1['suffix'] != $parsedComplex2['suffix']) {
      return PHPExcel_Calculation_Functions::NaN();
    }
    elseif ($parsedComplex1['suffix'] == '' && $parsedComplex2['suffix'] != '') {
      $parsedComplex1['suffix'] = $parsedComplex2['suffix'];
    }
    $d1 = $parsedComplex1['real'] - $parsedComplex2['real'];
    $d2 = $parsedComplex1['imaginary'] - $parsedComplex2['imaginary'];
    return self::COMPLEX($d1, $d2, $parsedComplex1['suffix']);
  }

  //	function IMSUB()

  /**
   * IMSUM
   *
   * Returns the sum of two or more complex numbers in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMSUM(complexNumber[,complexNumber[,...]])
   *
   * @param	string		$complexNumber,...	Series of complex numbers to add
   * @return	string
   */
  public static function IMSUM() {

    // Return value
    $returnValue = self::_parseComplex('0');
    $activeSuffix = '';

    // Loop through the arguments
    $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
    foreach ($aArgs as $arg) {
      $parsedComplex = self::_parseComplex($arg);
      if ($activeSuffix == '') {
        $activeSuffix = $parsedComplex['suffix'];
      }
      elseif ($parsedComplex['suffix'] != '' && $activeSuffix != $parsedComplex['suffix']) {
        return PHPExcel_Calculation_Functions::VALUE();
      }
      $returnValue['real'] += $parsedComplex['real'];
      $returnValue['imaginary'] += $parsedComplex['imaginary'];
    }
    if ($returnValue['imaginary'] == 0.0) {
      $activeSuffix = '';
    }
    return self::COMPLEX($returnValue['real'], $returnValue['imaginary'], $activeSuffix);
  }

  //	function IMSUM()

  /**
   * IMPRODUCT
   *
   * Returns the product of two or more complex numbers in x + yi or x + yj text format.
   *
   * Excel Function:
   *		IMPRODUCT(complexNumber[,complexNumber[,...]])
   *
   * @param	string		$complexNumber,...	Series of complex numbers to multiply
   * @return	string
   */
  public static function IMPRODUCT() {

    // Return value
    $returnValue = self::_parseComplex('1');
    $activeSuffix = '';

    // Loop through the arguments
    $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
    foreach ($aArgs as $arg) {
      $parsedComplex = self::_parseComplex($arg);
      $workValue = $returnValue;
      if ($parsedComplex['suffix'] != '' && $activeSuffix == '') {
        $activeSuffix = $parsedComplex['suffix'];
      }
      elseif ($parsedComplex['suffix'] != '' && $activeSuffix != $parsedComplex['suffix']) {
        return PHPExcel_Calculation_Functions::NaN();
      }
      $returnValue['real'] = $workValue['real'] * $parsedComplex['real'] - $workValue['imaginary'] * $parsedComplex['imaginary'];
      $returnValue['imaginary'] = $workValue['real'] * $parsedComplex['imaginary'] + $workValue['imaginary'] * $parsedComplex['real'];
    }
    if ($returnValue['imaginary'] == 0.0) {
      $activeSuffix = '';
    }
    return self::COMPLEX($returnValue['real'], $returnValue['imaginary'], $activeSuffix);
  }

  //	function IMPRODUCT()

  /**
   *	DELTA
   *
   *	Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise.
   *	Use this function to filter a set of values. For example, by summing several DELTA
   *	functions you calculate the count of equal pairs. This function is also known as the
   *	Kronecker Delta function.
   *
   *	Excel Function:
   *		DELTA(a[,b])
   *
   *	@param	float		$a	The first number.
   *	@param	float		$b	The second number. If omitted, b is assumed to be zero.
   *	@return	int
   */
  public static function DELTA($a, $b = 0) {
    $a = PHPExcel_Calculation_Functions::flattenSingleValue($a);
    $b = PHPExcel_Calculation_Functions::flattenSingleValue($b);
    return (int) ($a == $b);
  }

  //	function DELTA()

  /**
   *	GESTEP
   *
   *	Excel Function:
   *		GESTEP(number[,step])
   *
   *	Returns 1 if number >= step; returns 0 (zero) otherwise
   *	Use this function to filter a set of values. For example, by summing several GESTEP
   *	functions you calculate the count of values that exceed a threshold.
   *
   *	@param	float		$number		The value to test against step.
   *	@param	float		$step		The threshold value.
   *									If you omit a value for step, GESTEP uses zero.
   *	@return	int
   */
  public static function GESTEP($number, $step = 0) {
    $number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
    $step = PHPExcel_Calculation_Functions::flattenSingleValue($step);
    return (int) ($number >= $step);
  }

  //	function GESTEP()
  //
  //	Private method to calculate the erf value
  //
  private static $_two_sqrtpi = 1.1283791670955126;
  public static function _erfVal($x) {
    if (abs($x) > 2.2) {
      return 1 - self::_erfcVal($x);
    }
    $sum = $term = $x;
    $xsqr = $x * $x;
    $j = 1;
    do {
      $term *= $xsqr / $j;
      $sum -= $term / (2 * $j + 1);
      ++$j;
      $term *= $xsqr / $j;
      $sum += $term / (2 * $j + 1);
      ++$j;
      if ($sum == 0.0) {
        break;
      }
    } while (abs($term / $sum) > PRECISION);
    return self::$_two_sqrtpi * $sum;
  }

  //	function _erfVal()

  /**
   *	ERF
   *
   *	Returns the error function integrated between the lower and upper bound arguments.
   *
   *	Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments,
   *			the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
   *			improved, so that it can now calculate the function for both positive and negative ranges.
   *			PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.
   *
   *	Excel Function:
   *		ERF(lower[,upper])
   *
   *	@param	float		$lower	lower bound for integrating ERF
   *	@param	float		$upper	upper bound for integrating ERF.
   *								If omitted, ERF integrates between zero and lower_limit
   *	@return	float
   */
  public static function ERF($lower, $upper = NULL) {
    $lower = PHPExcel_Calculation_Functions::flattenSingleValue($lower);
    $upper = PHPExcel_Calculation_Functions::flattenSingleValue($upper);
    if (is_numeric($lower)) {
      if (is_null($upper)) {
        return self::_erfVal($lower);
      }
      if (is_numeric($upper)) {
        return self::_erfVal($upper) - self::_erfVal($lower);
      }
    }
    return PHPExcel_Calculation_Functions::VALUE();
  }

  //	function ERF()
  //
  //	Private method to calculate the erfc value
  //
  private static $_one_sqrtpi = 0.5641895835477563;
  private static function _erfcVal($x) {
    if (abs($x) < 2.2) {
      return 1 - self::_erfVal($x);
    }
    if ($x < 0) {
      return 2 - self::ERFC(-$x);
    }
    $a = $n = 1;
    $b = $c = $x;
    $d = $x * $x + 0.5;
    $q1 = $q2 = $b / $d;
    $t = 0;
    do {
      $t = $a * $n + $b * $x;
      $a = $b;
      $b = $t;
      $t = $c * $n + $d * $x;
      $c = $d;
      $d = $t;
      $n += 0.5;
      $q1 = $q2;
      $q2 = $b / $d;
    } while (abs($q1 - $q2) / $q2 > PRECISION);
    return self::$_one_sqrtpi * exp(-$x * $x) * $q2;
  }

  //	function _erfcVal()

  /**
   *	ERFC
   *
   *	Returns the complementary ERF function integrated between x and infinity
   *
   *	Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument,
   *		the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
   *		improved, so that it can now calculate the function for both positive and negative x values.
   *			PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.
   *
   *	Excel Function:
   *		ERFC(x)
   *
   *	@param	float	$x	The lower bound for integrating ERFC
   *	@return	float
   */
  public static function ERFC($x) {
    $x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
    if (is_numeric($x)) {
      return self::_erfcVal($x);
    }
    return PHPExcel_Calculation_Functions::VALUE();
  }

  //	function ERFC()

  /**
   *	getConversionGroups
   *	Returns a list of the different conversion groups for UOM conversions
   *
   *	@return	array
   */
  public static function getConversionGroups() {
    $conversionGroups = array();
    foreach (self::$_conversionUnits as $conversionUnit) {
      $conversionGroups[] = $conversionUnit['Group'];
    }
    return array_merge(array_unique($conversionGroups));
  }

  //	function getConversionGroups()

  /**
   *	getConversionGroupUnits
   *	Returns an array of units of measure, for a specified conversion group, or for all groups
   *
   *	@param	string	$group	The group whose units of measure you want to retrieve
   *	@return	array
   */
  public static function getConversionGroupUnits($group = NULL) {
    $conversionGroups = array();
    foreach (self::$_conversionUnits as $conversionUnit => $conversionGroup) {
      if (is_null($group) || $conversionGroup['Group'] == $group) {
        $conversionGroups[$conversionGroup['Group']][] = $conversionUnit;
      }
    }
    return $conversionGroups;
  }

  //	function getConversionGroupUnits()

  /**
   *	getConversionGroupUnitDetails
   *
   *	@param	string	$group	The group whose units of measure you want to retrieve
   *	@return	array
   */
  public static function getConversionGroupUnitDetails($group = NULL) {
    $conversionGroups = array();
    foreach (self::$_conversionUnits as $conversionUnit => $conversionGroup) {
      if (is_null($group) || $conversionGroup['Group'] == $group) {
        $conversionGroups[$conversionGroup['Group']][] = array(
          'unit' => $conversionUnit,
          'description' => $conversionGroup['Unit Name'],
        );
      }
    }
    return $conversionGroups;
  }

  //	function getConversionGroupUnitDetails()

  /**
   *	getConversionMultipliers
   *	Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM()
   *
   *	@return	array of mixed
   */
  public static function getConversionMultipliers() {
    return self::$_conversionMultipliers;
  }

  //	function getConversionGroups()

  /**
   *	CONVERTUOM
   *
   *	Converts a number from one measurement system to another.
   *	For example, CONVERT can translate a table of distances in miles to a table of distances
   *	in kilometers.
   *
   *	Excel Function:
   *		CONVERT(value,fromUOM,toUOM)
   *
   *	@param	float		$value		The value in fromUOM to convert.
   *	@param	string		$fromUOM	The units for value.
   *	@param	string		$toUOM		The units for the result.
   *
   *	@return	float
   */
  public static function CONVERTUOM($value, $fromUOM, $toUOM) {
    $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
    $fromUOM = PHPExcel_Calculation_Functions::flattenSingleValue($fromUOM);
    $toUOM = PHPExcel_Calculation_Functions::flattenSingleValue($toUOM);
    if (!is_numeric($value)) {
      return PHPExcel_Calculation_Functions::VALUE();
    }
    $fromMultiplier = 1.0;
    if (isset(self::$_conversionUnits[$fromUOM])) {
      $unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
    }
    else {
      $fromMultiplier = substr($fromUOM, 0, 1);
      $fromUOM = substr($fromUOM, 1);
      if (isset(self::$_conversionMultipliers[$fromMultiplier])) {
        $fromMultiplier = self::$_conversionMultipliers[$fromMultiplier]['multiplier'];
      }
      else {
        return PHPExcel_Calculation_Functions::NA();
      }
      if (isset(self::$_conversionUnits[$fromUOM]) && self::$_conversionUnits[$fromUOM]['AllowPrefix']) {
        $unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
      }
      else {
        return PHPExcel_Calculation_Functions::NA();
      }
    }
    $value *= $fromMultiplier;
    $toMultiplier = 1.0;
    if (isset(self::$_conversionUnits[$toUOM])) {
      $unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
    }
    else {
      $toMultiplier = substr($toUOM, 0, 1);
      $toUOM = substr($toUOM, 1);
      if (isset(self::$_conversionMultipliers[$toMultiplier])) {
        $toMultiplier = self::$_conversionMultipliers[$toMultiplier]['multiplier'];
      }
      else {
        return PHPExcel_Calculation_Functions::NA();
      }
      if (isset(self::$_conversionUnits[$toUOM]) && self::$_conversionUnits[$toUOM]['AllowPrefix']) {
        $unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
      }
      else {
        return PHPExcel_Calculation_Functions::NA();
      }
    }
    if ($unitGroup1 != $unitGroup2) {
      return PHPExcel_Calculation_Functions::NA();
    }
    if ($fromUOM == $toUOM && $fromMultiplier == $toMultiplier) {

      //	We've already factored $fromMultiplier into the value, so we need
      //		to reverse it again
      return $value / $fromMultiplier;
    }
    elseif ($unitGroup1 == 'Temperature') {
      if ($fromUOM == 'F' || $fromUOM == 'fah') {
        if ($toUOM == 'F' || $toUOM == 'fah') {
          return $value;
        }
        else {
          $value = ($value - 32) / 1.8;
          if ($toUOM == 'K' || $toUOM == 'kel') {
            $value += 273.15;
          }
          return $value;
        }
      }
      elseif (($fromUOM == 'K' || $fromUOM == 'kel') && ($toUOM == 'K' || $toUOM == 'kel')) {
        return $value;
      }
      elseif (($fromUOM == 'C' || $fromUOM == 'cel') && ($toUOM == 'C' || $toUOM == 'cel')) {
        return $value;
      }
      if ($toUOM == 'F' || $toUOM == 'fah') {
        if ($fromUOM == 'K' || $fromUOM == 'kel') {
          $value -= 273.15;
        }
        return $value * 1.8 + 32;
      }
      if ($toUOM == 'C' || $toUOM == 'cel') {
        return $value - 273.15;
      }
      return $value + 273.15;
    }
    return $value * self::$_unitConversions[$unitGroup1][$fromUOM][$toUOM] / $toMultiplier;
  }

}

Members

Namesort descending Modifiers Type Description Overrides
PHPExcel_Calculation_Engineering::$_conversionMultipliers private static property * Details of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() * *
PHPExcel_Calculation_Engineering::$_conversionUnits private static property * Details of the Units of measure that can be used in CONVERTUOM() * *
PHPExcel_Calculation_Engineering::$_one_sqrtpi private static property
PHPExcel_Calculation_Engineering::$_two_sqrtpi private static property
PHPExcel_Calculation_Engineering::$_unitConversions private static property * Details of the Units of measure conversion factors, organised by group * *
PHPExcel_Calculation_Engineering::BESSELI public static function * BESSELI * * Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated * for purely imaginary arguments * * Excel Function: * BESSELI(x,ord) * * @access public * @category Engineering…
PHPExcel_Calculation_Engineering::BESSELJ public static function * BESSELJ * * Returns the Bessel function * * Excel Function: * BESSELJ(x,ord) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::BESSELK public static function * BESSELK * * Returns the modified Bessel function Kn(x), which is equivalent to the Bessel functions evaluated * for purely imaginary arguments. * * Excel Function: * BESSELK(x,ord) * * @access public * @category Engineering…
PHPExcel_Calculation_Engineering::BESSELY public static function * BESSELY * * Returns the Bessel function, which is also called the Weber function or the Neumann function. * * Excel Function: * BESSELY(x,ord) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::BINTODEC public static function * BINTODEC * * Return a binary value as decimal. * * Excel Function: * BIN2DEC(x) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::BINTOHEX public static function * BINTOHEX * * Return a binary value as hex. * * Excel Function: * BIN2HEX(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::BINTOOCT public static function * BINTOOCT * * Return a binary value as octal. * * Excel Function: * BIN2OCT(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::COMPLEX public static function * COMPLEX * * Converts real and imaginary coefficients into a complex number of the form x + yi or x + yj. * * Excel Function: * COMPLEX(realNumber,imaginary[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::CONVERTUOM public static function * CONVERTUOM * * Converts a number from one measurement system to another. * For example, CONVERT can translate a table of distances in miles to a table of distances * in kilometers. * * Excel Function: * CONVERT(value,fromUOM,toUOM) …
PHPExcel_Calculation_Engineering::DECTOBIN public static function * DECTOBIN * * Return a decimal value as binary. * * Excel Function: * DEC2BIN(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::DECTOHEX public static function * DECTOHEX * * Return a decimal value as hex. * * Excel Function: * DEC2HEX(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::DECTOOCT public static function * DECTOOCT * * Return an decimal value as octal. * * Excel Function: * DEC2OCT(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::DELTA public static function * DELTA * * Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise. * Use this function to filter a set of values. For example, by summing several DELTA * functions you calculate the count of equal pairs. This…
PHPExcel_Calculation_Engineering::ERF public static function * ERF * * Returns the error function integrated between the lower and upper bound arguments. * * Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments, * the function would return a #NUM!…
PHPExcel_Calculation_Engineering::ERFC public static function * ERFC * * Returns the complementary ERF function integrated between x and infinity * * Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument, * the function would return a #NUM! error. However, in Excel…
PHPExcel_Calculation_Engineering::GESTEP public static function * GESTEP * * Excel Function: * GESTEP(number[,step]) * * Returns 1 if number >= step; returns 0 (zero) otherwise * Use this function to filter a set of values. For example, by summing several GESTEP * functions you calculate the…
PHPExcel_Calculation_Engineering::getConversionGroups public static function * getConversionGroups * Returns a list of the different conversion groups for UOM conversions * *
PHPExcel_Calculation_Engineering::getConversionGroupUnitDetails public static function * getConversionGroupUnitDetails * *
PHPExcel_Calculation_Engineering::getConversionGroupUnits public static function * getConversionGroupUnits * Returns an array of units of measure, for a specified conversion group, or for all groups * *
PHPExcel_Calculation_Engineering::getConversionMultipliers public static function * getConversionMultipliers * Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() * *
PHPExcel_Calculation_Engineering::HEXTOBIN public static function * HEXTOBIN * * Return a hex value as binary. * * Excel Function: * HEX2BIN(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::HEXTODEC public static function * HEXTODEC * * Return a hex value as decimal. * * Excel Function: * HEX2DEC(x) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::HEXTOOCT public static function * HEXTOOCT * * Return a hex value as octal. * * Excel Function: * HEX2OCT(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::IMABS public static function * IMABS * * Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format. * * Excel Function: * IMABS(complexNumber) * *
PHPExcel_Calculation_Engineering::IMAGINARY public static function * IMAGINARY * * Returns the imaginary coefficient of a complex number in x + yi or x + yj text format. * * Excel Function: * IMAGINARY(complexNumber) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::IMARGUMENT public static function * IMARGUMENT * * Returns the argument theta of a complex number, i.e. the angle in radians from the real * axis to the representation of the number in polar coordinates. * * Excel Function: * IMARGUMENT(complexNumber) * *
PHPExcel_Calculation_Engineering::IMCONJUGATE public static function * IMCONJUGATE * * Returns the complex conjugate of a complex number in x + yi or x + yj text format. * * Excel Function: * IMCONJUGATE(complexNumber) * *
PHPExcel_Calculation_Engineering::IMCOS public static function * IMCOS * * Returns the cosine of a complex number in x + yi or x + yj text format. * * Excel Function: * IMCOS(complexNumber) * *
PHPExcel_Calculation_Engineering::IMDIV public static function * IMDIV * * Returns the quotient of two complex numbers in x + yi or x + yj text format. * * Excel Function: * IMDIV(complexDividend,complexDivisor) * *
PHPExcel_Calculation_Engineering::IMEXP public static function * IMEXP * * Returns the exponential of a complex number in x + yi or x + yj text format. * * Excel Function: * IMEXP(complexNumber) * *
PHPExcel_Calculation_Engineering::IMLN public static function * IMLN * * Returns the natural logarithm of a complex number in x + yi or x + yj text format. * * Excel Function: * IMLN(complexNumber) * *
PHPExcel_Calculation_Engineering::IMLOG10 public static function * IMLOG10 * * Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format. * * Excel Function: * IMLOG10(complexNumber) * *
PHPExcel_Calculation_Engineering::IMLOG2 public static function * IMLOG2 * * Returns the base-2 logarithm of a complex number in x + yi or x + yj text format. * * Excel Function: * IMLOG2(complexNumber) * *
PHPExcel_Calculation_Engineering::IMPOWER public static function * IMPOWER * * Returns a complex number in x + yi or x + yj text format raised to a power. * * Excel Function: * IMPOWER(complexNumber,realNumber) * *
PHPExcel_Calculation_Engineering::IMPRODUCT public static function * IMPRODUCT * * Returns the product of two or more complex numbers in x + yi or x + yj text format. * * Excel Function: * IMPRODUCT(complexNumber[,complexNumber[,...]]) * *
PHPExcel_Calculation_Engineering::IMREAL public static function * IMREAL * * Returns the real coefficient of a complex number in x + yi or x + yj text format. * * Excel Function: * IMREAL(complexNumber) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::IMSIN public static function * IMSIN * * Returns the sine of a complex number in x + yi or x + yj text format. * * Excel Function: * IMSIN(complexNumber) * *
PHPExcel_Calculation_Engineering::IMSQRT public static function * IMSQRT * * Returns the square root of a complex number in x + yi or x + yj text format. * * Excel Function: * IMSQRT(complexNumber) * *
PHPExcel_Calculation_Engineering::IMSUB public static function * IMSUB * * Returns the difference of two complex numbers in x + yi or x + yj text format. * * Excel Function: * IMSUB(complexNumber1,complexNumber2) * *
PHPExcel_Calculation_Engineering::IMSUM public static function * IMSUM * * Returns the sum of two or more complex numbers in x + yi or x + yj text format. * * Excel Function: * IMSUM(complexNumber[,complexNumber[,...]]) * *
PHPExcel_Calculation_Engineering::OCTTOBIN public static function * OCTTOBIN * * Return an octal value as binary. * * Excel Function: * OCT2BIN(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::OCTTODEC public static function * OCTTODEC * * Return an octal value as decimal. * * Excel Function: * OCT2DEC(x) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::OCTTOHEX public static function * OCTTOHEX * * Return an octal value as hex. * * Excel Function: * OCT2HEX(x[,places]) * * @access public * @category Engineering Functions *
PHPExcel_Calculation_Engineering::_Besselk0 private static function
PHPExcel_Calculation_Engineering::_Besselk1 private static function
PHPExcel_Calculation_Engineering::_Bessely0 private static function
PHPExcel_Calculation_Engineering::_Bessely1 private static function
PHPExcel_Calculation_Engineering::_cleanComplex private static function * Cleans the leading characters in a complex number string * *
PHPExcel_Calculation_Engineering::_erfcVal private static function
PHPExcel_Calculation_Engineering::_erfVal public static function
PHPExcel_Calculation_Engineering::_nbrConversionFormat private static function * Formats a number base string value with leading zeroes * *
PHPExcel_Calculation_Engineering::_parseComplex public static function * _parseComplex * * Parses a complex number into its real and imaginary parts, and an I or J suffix * *