From f1ab2f022fdc780aca0944d90e9a0e844a0820d7 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Anton=20Luka=20=C5=A0ijanec?= Date: Mon, 27 May 2024 13:12:17 +0200 Subject: =?UTF-8?q?2024-02-19:=20popravljen=20(prej=C5=A1nji=20commit=20je?= =?UTF-8?q?=20napa=C4=8Den)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../excel/PHPExcel/Calculation/Engineering.php | 2502 -------------------- 1 file changed, 2502 deletions(-) delete mode 100644 admin/survey/excel/PHPExcel/Calculation/Engineering.php (limited to 'admin/survey/excel/PHPExcel/Calculation/Engineering.php') diff --git a/admin/survey/excel/PHPExcel/Calculation/Engineering.php b/admin/survey/excel/PHPExcel/Calculation/Engineering.php deleted file mode 100644 index fb4bc7d..0000000 --- a/admin/survey/excel/PHPExcel/Calculation/Engineering.php +++ /dev/null @@ -1,2502 +0,0 @@ - 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() - - - /** - * _cleanComplex - * - * 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 $complexNumber; - } - - - private static function _nbrConversionFormat($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 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 = (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 common logarithm (base 10) 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 $conversionGroups; - } // function getConversionGroupUnits() - - - /** - * getConversionGroupUnitDetails - * - * @return array - */ - public static function getConversionGroupUnitDetails($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; - } // function CONVERTUOM() - -} // class PHPExcel_Calculation_Engineering -- cgit v1.2.3