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<?php/*** PHPExcel** Copyright (c) 2006 - 2013 PHPExcel** This library is free software; you can redistribute it and/or* modify it under the terms of the GNU Lesser General Public* License as published by the Free Software Foundation; either* version 2.1 of the License, or (at your option) any later version.** This library is distributed in the hope that it will be useful,* but WITHOUT ANY WARRANTY; without even the implied warranty of* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU* Lesser General Public License for more details.** You should have received a copy of the GNU Lesser General Public* License along with this library; if not, write to the Free Software* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA** @category PHPExcel* @package PHPExcel_Calculation* @copyright Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL* @version ##VERSION##, ##DATE##*//** PHPExcel root directory */if (!defined('PHPEXCEL_ROOT')) {/*** @ignore*/define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../');require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');}/** EULER */define('EULER', 2.71828182845904523536);/*** PHPExcel_Calculation_Engineering** @category PHPExcel* @package PHPExcel_Calculation* @copyright Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)*/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' => 1E24, 'name' => 'yotta' ),'Z' => array( 'multiplier' => 1E21, 'name' => 'zetta' ),'E' => array( 'multiplier' => 1E18, 'name' => 'exa' ),'P' => array( 'multiplier' => 1E15, 'name' => 'peta' ),'T' => array( 'multiplier' => 1E12, 'name' => 'tera' ),'G' => array( 'multiplier' => 1E9, 'name' => 'giga' ),'M' => array( 'multiplier' => 1E6, 'name' => 'mega' ),'k' => array( 'multiplier' => 1E3, 'name' => 'kilo' ),'h' => array( 'multiplier' => 1E2, 'name' => 'hecto' ),'e' => array( 'multiplier' => 1E1, 'name' => 'deka' ),'d' => array( 'multiplier' => 1E-1, 'name' => 'deci' ),'c' => array( 'multiplier' => 1E-2, 'name' => 'centi' ),'m' => array( 'multiplier' => 1E-3, 'name' => 'milli' ),'u' => array( 'multiplier' => 1E-6, 'name' => 'micro' ),'n' => array( 'multiplier' => 1E-9, 'name' => 'nano' ),'p' => array( 'multiplier' => 1E-12, 'name' => 'pico' ),'f' => array( 'multiplier' => 1E-15, 'name' => 'femto' ),'a' => array( 'multiplier' => 1E-18, 'name' => 'atto' ),'z' => array( 'multiplier' => 1E-21, 'name' => 'zepto' ),'y' => array( 'multiplier' => 1E-24, '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-05,'lbm' => 2.20462291469134E-03,'u' => 6.02217000000000E+23,'ozm' => 3.52739718003627E-02),'sg' => array( 'g' => 1.45938424189287E+04,'sg' => 1.0,'lbm' => 3.21739194101647E+01,'u' => 8.78866000000000E+27,'ozm' => 5.14782785944229E+02),'lbm' => array( 'g' => 4.5359230974881148E+02,'sg' => 3.10810749306493E-02,'lbm' => 1.0,'u' => 2.73161000000000E+26,'ozm' => 1.60000023429410E+01),'u' => array( 'g' => 1.66053100460465E-24,'sg' => 1.13782988532950E-28,'lbm' => 3.66084470330684E-27,'u' => 1.0,'ozm' => 5.85735238300524E-26),'ozm' => array( 'g' => 2.83495152079732E+01,'sg' => 1.94256689870811E-03,'lbm' => 6.24999908478882E-02,'u' => 1.70725600000000E+25,'ozm' => 1.0)),'Distance' => array( 'm' => array( 'm' => 1.0,'mi' => 6.21371192237334E-04,'Nmi' => 5.39956803455724E-04,'in' => 3.93700787401575E+01,'ft' => 3.28083989501312E+00,'yd' => 1.09361329797891E+00,'ang' => 1.00000000000000E+10,'Pica' => 2.83464566929116E+03),'mi' => array( 'm' => 1.60934400000000E+03,'mi' => 1.0,'Nmi' => 8.68976241900648E-01,'in' => 6.33600000000000E+04,'ft' => 5.28000000000000E+03,'yd' => 1.76000000000000E+03,'ang' => 1.60934400000000E+13,'Pica' => 4.56191999999971E+06),'Nmi' => array( 'm' => 1.85200000000000E+03,'mi' => 1.15077944802354E+00,'Nmi' => 1.0,'in' => 7.29133858267717E+04,'ft' => 6.07611548556430E+03,'yd' => 2.02537182785694E+03,'ang' => 1.85200000000000E+13,'Pica' => 5.24976377952723E+06),'in' => array( 'm' => 2.54000000000000E-02,'mi' => 1.57828282828283E-05,'Nmi' => 1.37149028077754E-05,'in' => 1.0,'ft' => 8.33333333333333E-02,'yd' => 2.77777777686643E-02,'ang' => 2.54000000000000E+08,'Pica' => 7.19999999999955E+01),'ft' => array( 'm' => 3.04800000000000E-01,'mi' => 1.89393939393939E-04,'Nmi' => 1.64578833693305E-04,'in' => 1.20000000000000E+01,'ft' => 1.0,'yd' => 3.33333333223972E-01,'ang' => 3.04800000000000E+09,'Pica' => 8.63999999999946E+02),'yd' => array( 'm' => 9.14400000300000E-01,'mi' => 5.68181818368230E-04,'Nmi' => 4.93736501241901E-04,'in' => 3.60000000118110E+01,'ft' => 3.00000000000000E+00,'yd' => 1.0,'ang' => 9.14400000300000E+09,'Pica' => 2.59200000085023E+03),'ang' => array( 'm' => 1.00000000000000E-10,'mi' => 6.21371192237334E-14,'Nmi' => 5.39956803455724E-14,'in' => 3.93700787401575E-09,'ft' => 3.28083989501312E-10,'yd' => 1.09361329797891E-10,'ang' => 1.0,'Pica' => 2.83464566929116E-07),'Pica' => array( 'm' => 3.52777777777800E-04,'mi' => 2.19205948372629E-07,'Nmi' => 1.90484761219114E-07,'in' => 1.38888888888898E-02,'ft' => 1.15740740740748E-03,'yd' => 3.85802469009251E-04,'ang' => 3.52777777777800E+06,'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' => 2.73785078713210E-03,'day' => 1.0,'hr' => 24.0,'mn' => 1440.0,'sec' => 86400.0),'hr' => array( 'yr' => 1.14077116130504E-04,'day' => 4.16666666666667E-02,'hr' => 1.0,'mn' => 60.0,'sec' => 3600.0),'mn' => array( 'yr' => 1.90128526884174E-06,'day' => 6.94444444444444E-04,'hr' => 1.66666666666667E-02,'mn' => 1.0,'sec' => 60.0),'sec' => array( 'yr' => 3.16880878140289E-08,'day' => 1.15740740740741E-05,'hr' => 2.77777777777778E-04,'mn' => 1.66666666666667E-02,'sec' => 1.0)),'Pressure' => array( 'Pa' => array( 'Pa' => 1.0,'p' => 1.0,'atm' => 9.86923299998193E-06,'at' => 9.86923299998193E-06,'mmHg' => 7.50061707998627E-03),'p' => array( 'Pa' => 1.0,'p' => 1.0,'atm' => 9.86923299998193E-06,'at' => 9.86923299998193E-06,'mmHg' => 7.50061707998627E-03),'atm' => array( 'Pa' => 1.01324996583000E+05,'p' => 1.01324996583000E+05,'atm' => 1.0,'at' => 1.0,'mmHg' => 760.0),'at' => array( 'Pa' => 1.01324996583000E+05,'p' => 1.01324996583000E+05,'atm' => 1.0,'at' => 1.0,'mmHg' => 760.0),'mmHg' => array( 'Pa' => 1.33322363925000E+02,'p' => 1.33322363925000E+02,'atm' => 1.31578947368421E-03,'at' => 1.31578947368421E-03,'mmHg' => 1.0)),'Force' => array( 'N' => array( 'N' => 1.0,'dyn' => 1.0E+5,'dy' => 1.0E+5,'lbf' => 2.24808923655339E-01),'dyn' => array( 'N' => 1.0E-5,'dyn' => 1.0,'dy' => 1.0,'lbf' => 2.24808923655339E-06),'dy' => array( 'N' => 1.0E-5,'dyn' => 1.0,'dy' => 1.0,'lbf' => 2.24808923655339E-06),'lbf' => array( 'N' => 4.448222,'dyn' => 4.448222E+5,'dy' => 4.448222E+5,'lbf' => 1.0)),'Energy' => array( 'J' => array( 'J' => 1.0,'e' => 9.99999519343231E+06,'c' => 2.39006249473467E-01,'cal' => 2.38846190642017E-01,'eV' => 6.24145700000000E+18,'ev' => 6.24145700000000E+18,'HPh' => 3.72506430801000E-07,'hh' => 3.72506430801000E-07,'Wh' => 2.77777916238711E-04,'wh' => 2.77777916238711E-04,'flb' => 2.37304222192651E+01,'BTU' => 9.47815067349015E-04,'btu' => 9.47815067349015E-04),'e' => array( 'J' => 1.00000048065700E-07,'e' => 1.0,'c' => 2.39006364353494E-08,'cal' => 2.38846305445111E-08,'eV' => 6.24146000000000E+11,'ev' => 6.24146000000000E+11,'HPh' => 3.72506609848824E-14,'hh' => 3.72506609848824E-14,'Wh' => 2.77778049754611E-11,'wh' => 2.77778049754611E-11,'flb' => 2.37304336254586E-06,'BTU' => 9.47815522922962E-11,'btu' => 9.47815522922962E-11),'c' => array( 'J' => 4.18399101363672E+00,'e' => 4.18398900257312E+07,'c' => 1.0,'cal' => 9.99330315287563E-01,'eV' => 2.61142000000000E+19,'ev' => 2.61142000000000E+19,'HPh' => 1.55856355899327E-06,'hh' => 1.55856355899327E-06,'Wh' => 1.16222030532950E-03,'wh' => 1.16222030532950E-03,'flb' => 9.92878733152102E+01,'BTU' => 3.96564972437776E-03,'btu' => 3.96564972437776E-03),'cal' => array( 'J' => 4.18679484613929E+00,'e' => 4.18679283372801E+07,'c' => 1.00067013349059E+00,'cal' => 1.0,'eV' => 2.61317000000000E+19,'ev' => 2.61317000000000E+19,'HPh' => 1.55960800463137E-06,'hh' => 1.55960800463137E-06,'Wh' => 1.16299914807955E-03,'wh' => 1.16299914807955E-03,'flb' => 9.93544094443283E+01,'BTU' => 3.96830723907002E-03,'btu' => 3.96830723907002E-03),'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' => 5.96826078912344E-26,'hh' => 5.96826078912344E-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' => 5.96826078912344E-26,'hh' => 5.96826078912344E-26,'Wh' => 4.45053000026614E-23,'wh' => 4.45053000026614E-23,'flb' => 3.80206452103492E-18,'BTU' => 1.51857982414846E-22,'btu' => 1.51857982414846E-22),'HPh' => array( 'J' => 2.68451741316170E+06,'e' => 2.68451612283024E+13,'c' => 6.41616438565991E+05,'cal' => 6.41186757845835E+05,'eV' => 1.67553000000000E+25,'ev' => 1.67553000000000E+25,'HPh' => 1.0,'hh' => 1.0,'Wh' => 7.45699653134593E+02,'wh' => 7.45699653134593E+02,'flb' => 6.37047316692964E+07,'BTU' => 2.54442605275546E+03,'btu' => 2.54442605275546E+03),'hh' => array( 'J' => 2.68451741316170E+06,'e' => 2.68451612283024E+13,'c' => 6.41616438565991E+05,'cal' => 6.41186757845835E+05,'eV' => 1.67553000000000E+25,'ev' => 1.67553000000000E+25,'HPh' => 1.0,'hh' => 1.0,'Wh' => 7.45699653134593E+02,'wh' => 7.45699653134593E+02,'flb' => 6.37047316692964E+07,'BTU' => 2.54442605275546E+03,'btu' => 2.54442605275546E+03),'Wh' => array( 'J' => 3.59999820554720E+03,'e' => 3.59999647518369E+10,'c' => 8.60422069219046E+02,'cal' => 8.59845857713046E+02,'eV' => 2.24692340000000E+22,'ev' => 2.24692340000000E+22,'HPh' => 1.34102248243839E-03,'hh' => 1.34102248243839E-03,'Wh' => 1.0,'wh' => 1.0,'flb' => 8.54294774062316E+04,'BTU' => 3.41213254164705E+00,'btu' => 3.41213254164705E+00),'wh' => array( 'J' => 3.59999820554720E+03,'e' => 3.59999647518369E+10,'c' => 8.60422069219046E+02,'cal' => 8.59845857713046E+02,'eV' => 2.24692340000000E+22,'ev' => 2.24692340000000E+22,'HPh' => 1.34102248243839E-03,'hh' => 1.34102248243839E-03,'Wh' => 1.0,'wh' => 1.0,'flb' => 8.54294774062316E+04,'BTU' => 3.41213254164705E+00,'btu' => 3.41213254164705E+00),'flb' => array( 'J' => 4.21400003236424E-02,'e' => 4.21399800687660E+05,'c' => 1.00717234301644E-02,'cal' => 1.00649785509554E-02,'eV' => 2.63015000000000E+17,'ev' => 2.63015000000000E+17,'HPh' => 1.56974211145130E-08,'hh' => 1.56974211145130E-08,'Wh' => 1.17055614802000E-05,'wh' => 1.17055614802000E-05,'flb' => 1.0,'BTU' => 3.99409272448406E-05,'btu' => 3.99409272448406E-05),'BTU' => array( 'J' => 1.05505813786749E+03,'e' => 1.05505763074665E+10,'c' => 2.52165488508168E+02,'cal' => 2.51996617135510E+02,'eV' => 6.58510000000000E+21,'ev' => 6.58510000000000E+21,'HPh' => 3.93015941224568E-04,'hh' => 3.93015941224568E-04,'Wh' => 2.93071851047526E-01,'wh' => 2.93071851047526E-01,'flb' => 2.50369750774671E+04,'BTU' => 1.0,'btu' => 1.0,),'btu' => array( 'J' => 1.05505813786749E+03,'e' => 1.05505763074665E+10,'c' => 2.52165488508168E+02,'cal' => 2.51996617135510E+02,'eV' => 6.58510000000000E+21,'ev' => 6.58510000000000E+21,'HPh' => 3.93015941224568E-04,'hh' => 3.93015941224568E-04,'Wh' => 2.93071851047526E-01,'wh' => 2.93071851047526E-01,'flb' => 2.50369750774671E+04,'BTU' => 1.0,'btu' => 1.0,)),'Power' => array( 'HP' => array( 'HP' => 1.0,'h' => 1.0,'W' => 7.45701000000000E+02,'w' => 7.45701000000000E+02),'h' => array( 'HP' => 1.0,'h' => 1.0,'W' => 7.45701000000000E+02,'w' => 7.45701000000000E+02),'W' => array( 'HP' => 1.34102006031908E-03,'h' => 1.34102006031908E-03,'W' => 1.0,'w' => 1.0),'w' => array( 'HP' => 1.34102006031908E-03,'h' => 1.34102006031908E-03,'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' => 3.33333333333333E-01,'oz' => 1.66666666666667E-01,'cup' => 2.08333333333333E-02,'pt' => 1.04166666666667E-02,'us_pt' => 1.04166666666667E-02,'uk_pt' => 8.67558516821960E-03,'qt' => 5.20833333333333E-03,'gal' => 1.30208333333333E-03,'l' => 4.92999408400710E-03,'lt' => 4.92999408400710E-03),'tbs' => array( 'tsp' => 3.00000000000000E+00,'tbs' => 1.0,'oz' => 5.00000000000000E-01,'cup' => 6.25000000000000E-02,'pt' => 3.12500000000000E-02,'us_pt' => 3.12500000000000E-02,'uk_pt' => 2.60267555046588E-02,'qt' => 1.56250000000000E-02,'gal' => 3.90625000000000E-03,'l' => 1.47899822520213E-02,'lt' => 1.47899822520213E-02),'oz' => array( 'tsp' => 6.00000000000000E+00,'tbs' => 2.00000000000000E+00,'oz' => 1.0,'cup' => 1.25000000000000E-01,'pt' => 6.25000000000000E-02,'us_pt' => 6.25000000000000E-02,'uk_pt' => 5.20535110093176E-02,'qt' => 3.12500000000000E-02,'gal' => 7.81250000000000E-03,'l' => 2.95799645040426E-02,'lt' => 2.95799645040426E-02),'cup' => array( 'tsp' => 4.80000000000000E+01,'tbs' => 1.60000000000000E+01,'oz' => 8.00000000000000E+00,'cup' => 1.0,'pt' => 5.00000000000000E-01,'us_pt' => 5.00000000000000E-01,'uk_pt' => 4.16428088074541E-01,'qt' => 2.50000000000000E-01,'gal' => 6.25000000000000E-02,'l' => 2.36639716032341E-01,'lt' => 2.36639716032341E-01),'pt' => array( 'tsp' => 9.60000000000000E+01,'tbs' => 3.20000000000000E+01,'oz' => 1.60000000000000E+01,'cup' => 2.00000000000000E+00,'pt' => 1.0,'us_pt' => 1.0,'uk_pt' => 8.32856176149081E-01,'qt' => 5.00000000000000E-01,'gal' => 1.25000000000000E-01,'l' => 4.73279432064682E-01,'lt' => 4.73279432064682E-01),'us_pt' => array( 'tsp' => 9.60000000000000E+01,'tbs' => 3.20000000000000E+01,'oz' => 1.60000000000000E+01,'cup' => 2.00000000000000E+00,'pt' => 1.0,'us_pt' => 1.0,'uk_pt' => 8.32856176149081E-01,'qt' => 5.00000000000000E-01,'gal' => 1.25000000000000E-01,'l' => 4.73279432064682E-01,'lt' => 4.73279432064682E-01),'uk_pt' => array( 'tsp' => 1.15266000000000E+02,'tbs' => 3.84220000000000E+01,'oz' => 1.92110000000000E+01,'cup' => 2.40137500000000E+00,'pt' => 1.20068750000000E+00,'us_pt' => 1.20068750000000E+00,'uk_pt' => 1.0,'qt' => 6.00343750000000E-01,'gal' => 1.50085937500000E-01,'l' => 5.68260698087162E-01,'lt' => 5.68260698087162E-01),'qt' => array( 'tsp' => 1.92000000000000E+02,'tbs' => 6.40000000000000E+01,'oz' => 3.20000000000000E+01,'cup' => 4.00000000000000E+00,'pt' => 2.00000000000000E+00,'us_pt' => 2.00000000000000E+00,'uk_pt' => 1.66571235229816E+00,'qt' => 1.0,'gal' => 2.50000000000000E-01,'l' => 9.46558864129363E-01,'lt' => 9.46558864129363E-01),'gal' => array( 'tsp' => 7.68000000000000E+02,'tbs' => 2.56000000000000E+02,'oz' => 1.28000000000000E+02,'cup' => 1.60000000000000E+01,'pt' => 8.00000000000000E+00,'us_pt' => 8.00000000000000E+00,'uk_pt' => 6.66284940919265E+00,'qt' => 4.00000000000000E+00,'gal' => 1.0,'l' => 3.78623545651745E+00,'lt' => 3.78623545651745E+00),'l' => array( 'tsp' => 2.02840000000000E+02,'tbs' => 6.76133333333333E+01,'oz' => 3.38066666666667E+01,'cup' => 4.22583333333333E+00,'pt' => 2.11291666666667E+00,'us_pt' => 2.11291666666667E+00,'uk_pt' => 1.75975569552166E+00,'qt' => 1.05645833333333E+00,'gal' => 2.64114583333333E-01,'l' => 1.0,'lt' => 1.0),'lt' => array( 'tsp' => 2.02840000000000E+02,'tbs' => 6.76133333333333E+01,'oz' => 3.38066666666667E+01,'cup' => 4.22583333333333E+00,'pt' => 2.11291666666667E+00,'us_pt' => 2.11291666666667E+00,'uk_pt' => 1.75975569552166E+00,'qt' => 1.05645833333333E+00,'gal' => 2.64114583333333E-01,'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) > 1e-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) > 1e-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 * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y *(0.10750e-3 + $y * 0.74e-5))))));} else {$y = 2 / $fNum;$fRet = exp(-$fNum) / sqrt($fNum) *(1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y *(0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3))))));}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 * (-0.67278579 + $y * (-0.18156897 + $y * (-0.1919402e-1 + $y *(-0.110404e-2 + $y * (-0.4686e-4))))))) / $fNum;} else {$y = 2 / $fNum;$fRet = exp(-$fNum) / sqrt($fNum) *(1.25331414 + $y * (0.23498619 + $y * (-0.3655620e-1 + $y * (0.1504268e-1 + $y * (-0.780353e-2 + $y *(0.325614e-2 + $y * (-0.68245e-3)))))));}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 * (47447.26470 + $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 * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6)));$f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7))));$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 * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y *(-0.4237922726e7 + $y * 0.8511937935e4)))));$f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y *(0.1020426050e6 + $y * (0.3549632885e3 + $y)))));$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 Complementreturn 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 Complementreturn 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 = (float) $realNumber;$imaginary = (float) $imaginary;if ($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 $_two_sqrtpi = 1.128379167095512574;public static function _erfVal($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 $_one_sqrtpi = 0.564189583547756287;private static function _erfcVal($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 againreturn $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;} // function CONVERTUOM()} // class PHPExcel_Calculation_Engineering