diff options
Diffstat (limited to 'admin/survey/excel/PHPExcel/Calculation/Engineering.php')
| -rw-r--r-- | admin/survey/excel/PHPExcel/Calculation/Engineering.php | 2502 |
1 files changed, 0 insertions, 2502 deletions
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 @@ -<?php
-/**
- * PHPExcel
- *
- * Copyright (c) 2006 - 2012 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 - 2012 PHPExcel (http://www.codeplex.com/PHPExcel)
- * @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
- * @version 1.7.8, 2012-10-12
- */
-
-
-/** 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 - 2012 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()
-
-
- /**
- * _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
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