class PHPExcel_Calculation_Engineering in Loft Data Grids 7.2
Same name and namespace in other branches
- 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
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
Name |
Modifiers | Type | Description | Overrides |
|---|---|---|---|---|
|
PHPExcel_Calculation_Engineering:: |
private static | property | * Details of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() * * | |
|
PHPExcel_Calculation_Engineering:: |
private static | property | * Details of the Units of measure that can be used in CONVERTUOM() * * | |
|
PHPExcel_Calculation_Engineering:: |
private static | property | ||
|
PHPExcel_Calculation_Engineering:: |
private static | property | ||
|
PHPExcel_Calculation_Engineering:: |
private static | property | * Details of the Units of measure conversion factors, organised by group * * | |
|
PHPExcel_Calculation_Engineering:: |
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:: |
public static | function | * BESSELJ * * Returns the Bessel function * * Excel Function: * BESSELJ(x,ord) * * @access public * @category Engineering Functions * | |
|
PHPExcel_Calculation_Engineering:: |
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:: |
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:: |
public static | function | * BINTODEC * * Return a binary value as decimal. * * Excel Function: * BIN2DEC(x) * * @access public * @category Engineering Functions * | |
|
PHPExcel_Calculation_Engineering:: |
public static | function | * BINTOHEX * * Return a binary value as hex. * * Excel Function: * BIN2HEX(x[,places]) * * @access public * @category Engineering Functions * | |
|
PHPExcel_Calculation_Engineering:: |
public static | function | * BINTOOCT * * Return a binary value as octal. * * Excel Function: * BIN2OCT(x[,places]) * * @access public * @category Engineering Functions * | |
|
PHPExcel_Calculation_Engineering:: |
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:: |
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:: |
public static | function | * DECTOBIN * * Return a decimal value as binary. * * Excel Function: * DEC2BIN(x[,places]) * * @access public * @category Engineering Functions * | |
|
PHPExcel_Calculation_Engineering:: |
public static | function | * DECTOHEX * * Return a decimal value as hex. * * Excel Function: * DEC2HEX(x[,places]) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * DECTOOCT * * Return an decimal value as octal. * * Excel Function: * DEC2OCT(x[,places]) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
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… | |
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PHPExcel_Calculation_Engineering:: |
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!… | |
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PHPExcel_Calculation_Engineering:: |
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… | |
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PHPExcel_Calculation_Engineering:: |
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… | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * getConversionGroups * Returns a list of the different conversion groups for UOM conversions * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * getConversionGroupUnitDetails * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * getConversionGroupUnits * Returns an array of units of measure, for a specified conversion group, or for all groups * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * getConversionMultipliers * Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * HEXTOBIN * * Return a hex value as binary. * * Excel Function: * HEX2BIN(x[,places]) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * HEXTODEC * * Return a hex value as decimal. * * Excel Function: * HEX2DEC(x) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * HEXTOOCT * * Return a hex value as octal. * * Excel Function: * HEX2OCT(x[,places]) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
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) * * | |
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PHPExcel_Calculation_Engineering:: |
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 * | |
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PHPExcel_Calculation_Engineering:: |
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) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMCONJUGATE * * Returns the complex conjugate of a complex number in x + yi or x + yj text format. * * Excel Function: * IMCONJUGATE(complexNumber) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMCOS * * Returns the cosine of a complex number in x + yi or x + yj text format. * * Excel Function: * IMCOS(complexNumber) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMDIV * * Returns the quotient of two complex numbers in x + yi or x + yj text format. * * Excel Function: * IMDIV(complexDividend,complexDivisor) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMEXP * * Returns the exponential of a complex number in x + yi or x + yj text format. * * Excel Function: * IMEXP(complexNumber) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMLN * * Returns the natural logarithm of a complex number in x + yi or x + yj text format. * * Excel Function: * IMLN(complexNumber) * * | |
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PHPExcel_Calculation_Engineering:: |
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) * * | |
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PHPExcel_Calculation_Engineering:: |
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) * * | |
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PHPExcel_Calculation_Engineering:: |
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) * * | |
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PHPExcel_Calculation_Engineering:: |
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[,...]]) * * | |
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PHPExcel_Calculation_Engineering:: |
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 * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMSIN * * Returns the sine of a complex number in x + yi or x + yj text format. * * Excel Function: * IMSIN(complexNumber) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMSQRT * * Returns the square root of a complex number in x + yi or x + yj text format. * * Excel Function: * IMSQRT(complexNumber) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * IMSUB * * Returns the difference of two complex numbers in x + yi or x + yj text format. * * Excel Function: * IMSUB(complexNumber1,complexNumber2) * * | |
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PHPExcel_Calculation_Engineering:: |
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[,...]]) * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * OCTTOBIN * * Return an octal value as binary. * * Excel Function: * OCT2BIN(x[,places]) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * OCTTODEC * * Return an octal value as decimal. * * Excel Function: * OCT2DEC(x) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * OCTTOHEX * * Return an octal value as hex. * * Excel Function: * OCT2HEX(x[,places]) * * @access public * @category Engineering Functions * | |
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PHPExcel_Calculation_Engineering:: |
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PHPExcel_Calculation_Engineering:: |
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PHPExcel_Calculation_Engineering:: |
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PHPExcel_Calculation_Engineering:: |
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PHPExcel_Calculation_Engineering:: |
private static | function | * Cleans the leading characters in a complex number string * * | |
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PHPExcel_Calculation_Engineering:: |
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PHPExcel_Calculation_Engineering:: |
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PHPExcel_Calculation_Engineering:: |
private static | function | * Formats a number base string value with leading zeroes * * | |
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PHPExcel_Calculation_Engineering:: |
public static | function | * _parseComplex * * Parses a complex number into its real and imaginary parts, and an I or J suffix * * |