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<?php
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/**
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* PHPExcel
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*
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* Copyright (c) 2006 - 2013 PHPExcel
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*
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* @category PHPExcel
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* @package PHPExcel_Calculation
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* @copyright Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)
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* @license http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt LGPL
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* @version ##VERSION##, ##DATE##
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*/
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/** PHPExcel root directory */
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if (!defined('PHPEXCEL_ROOT')) {
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/**
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* @ignore
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*/
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define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../');
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require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');
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}
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/** EULER */
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define('EULER', 2.71828182845904523536);
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/**
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* PHPExcel_Calculation_Engineering
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*
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* @category PHPExcel
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* @package PHPExcel_Calculation
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* @copyright Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)
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*/
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class PHPExcel_Calculation_Engineering {
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/**
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* Details of the Units of measure that can be used in CONVERTUOM()
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*
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* @var mixed[]
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*/
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private static $_conversionUnits = array( 'g' => array( 'Group' => 'Mass', 'Unit Name' => 'Gram', 'AllowPrefix' => True ),
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'sg' => array( 'Group' => 'Mass', 'Unit Name' => 'Slug', 'AllowPrefix' => False ),
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'lbm' => array( 'Group' => 'Mass', 'Unit Name' => 'Pound mass (avoirdupois)', 'AllowPrefix' => False ),
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'u' => array( 'Group' => 'Mass', 'Unit Name' => 'U (atomic mass unit)', 'AllowPrefix' => True ),
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'ozm' => array( 'Group' => 'Mass', 'Unit Name' => 'Ounce mass (avoirdupois)', 'AllowPrefix' => False ),
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'm' => array( 'Group' => 'Distance', 'Unit Name' => 'Meter', 'AllowPrefix' => True ),
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'mi' => array( 'Group' => 'Distance', 'Unit Name' => 'Statute mile', 'AllowPrefix' => False ),
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'Nmi' => array( 'Group' => 'Distance', 'Unit Name' => 'Nautical mile', 'AllowPrefix' => False ),
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'in' => array( 'Group' => 'Distance', 'Unit Name' => 'Inch', 'AllowPrefix' => False ),
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'ft' => array( 'Group' => 'Distance', 'Unit Name' => 'Foot', 'AllowPrefix' => False ),
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'yd' => array( 'Group' => 'Distance', 'Unit Name' => 'Yard', 'AllowPrefix' => False ),
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'ang' => array( 'Group' => 'Distance', 'Unit Name' => 'Angstrom', 'AllowPrefix' => True ),
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'Pica' => array( 'Group' => 'Distance', 'Unit Name' => 'Pica (1/72 in)', 'AllowPrefix' => False ),
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'yr' => array( 'Group' => 'Time', 'Unit Name' => 'Year', 'AllowPrefix' => False ),
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'day' => array( 'Group' => 'Time', 'Unit Name' => 'Day', 'AllowPrefix' => False ),
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'hr' => array( 'Group' => 'Time', 'Unit Name' => 'Hour', 'AllowPrefix' => False ),
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'mn' => array( 'Group' => 'Time', 'Unit Name' => 'Minute', 'AllowPrefix' => False ),
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'sec' => array( 'Group' => 'Time', 'Unit Name' => 'Second', 'AllowPrefix' => True ),
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'Pa' => array( 'Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => True ),
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'p' => array( 'Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => True ),
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'atm' => array( 'Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => True ),
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'at' => array( 'Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => True ),
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'mmHg' => array( 'Group' => 'Pressure', 'Unit Name' => 'mm of Mercury', 'AllowPrefix' => True ),
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'N' => array( 'Group' => 'Force', 'Unit Name' => 'Newton', 'AllowPrefix' => True ),
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'dyn' => array( 'Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => True ),
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'dy' => array( 'Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => True ),
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'lbf' => array( 'Group' => 'Force', 'Unit Name' => 'Pound force', 'AllowPrefix' => False ),
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'J' => array( 'Group' => 'Energy', 'Unit Name' => 'Joule', 'AllowPrefix' => True ),
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'e' => array( 'Group' => 'Energy', 'Unit Name' => 'Erg', 'AllowPrefix' => True ),
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'c' => array( 'Group' => 'Energy', 'Unit Name' => 'Thermodynamic calorie', 'AllowPrefix' => True ),
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'cal' => array( 'Group' => 'Energy', 'Unit Name' => 'IT calorie', 'AllowPrefix' => True ),
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'eV' => array( 'Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => True ),
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'ev' => array( 'Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => True ),
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'HPh' => array( 'Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => False ),
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'hh' => array( 'Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => False ),
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'Wh' => array( 'Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => True ),
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'wh' => array( 'Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => True ),
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'flb' => array( 'Group' => 'Energy', 'Unit Name' => 'Foot-pound', 'AllowPrefix' => False ),
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'BTU' => array( 'Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => False ),
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'btu' => array( 'Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => False ),
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'HP' => array( 'Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => False ),
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'h' => array( 'Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => False ),
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'W' => array( 'Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => True ),
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'w' => array( 'Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => True ),
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'T' => array( 'Group' => 'Magnetism', 'Unit Name' => 'Tesla', 'AllowPrefix' => True ),
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'ga' => array( 'Group' => 'Magnetism', 'Unit Name' => 'Gauss', 'AllowPrefix' => True ),
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'C' => array( 'Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => False ),
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'cel' => array( 'Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => False ),
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'F' => array( 'Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => False ),
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'fah' => array( 'Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => False ),
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'K' => array( 'Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => False ),
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'kel' => array( 'Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => False ),
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'tsp' => array( 'Group' => 'Liquid', 'Unit Name' => 'Teaspoon', 'AllowPrefix' => False ),
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'tbs' => array( 'Group' => 'Liquid', 'Unit Name' => 'Tablespoon', 'AllowPrefix' => False ),
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'oz' => array( 'Group' => 'Liquid', 'Unit Name' => 'Fluid Ounce', 'AllowPrefix' => False ),
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'cup' => array( 'Group' => 'Liquid', 'Unit Name' => 'Cup', 'AllowPrefix' => False ),
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'pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => False ),
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'us_pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => False ),
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'uk_pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.K. Pint', 'AllowPrefix' => False ),
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'qt' => array( 'Group' => 'Liquid', 'Unit Name' => 'Quart', 'AllowPrefix' => False ),
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'gal' => array( 'Group' => 'Liquid', 'Unit Name' => 'Gallon', 'AllowPrefix' => False ),
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'l' => array( 'Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => True ),
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'lt' => array( 'Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => True )
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);
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/**
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* Details of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM()
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*
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* @var mixed[]
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*/
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private static $_conversionMultipliers = array( 'Y' => array( 'multiplier' => 1E24, 'name' => 'yotta' ),
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'Z' => array( 'multiplier' => 1E21, 'name' => 'zetta' ),
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'E' => array( 'multiplier' => 1E18, 'name' => 'exa' ),
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'P' => array( 'multiplier' => 1E15, 'name' => 'peta' ),
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'T' => array( 'multiplier' => 1E12, 'name' => 'tera' ),
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'G' => array( 'multiplier' => 1E9, 'name' => 'giga' ),
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'M' => array( 'multiplier' => 1E6, 'name' => 'mega' ),
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'k' => array( 'multiplier' => 1E3, 'name' => 'kilo' ),
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'h' => array( 'multiplier' => 1E2, 'name' => 'hecto' ),
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'e' => array( 'multiplier' => 1E1, 'name' => 'deka' ),
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'd' => array( 'multiplier' => 1E-1, 'name' => 'deci' ),
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'c' => array( 'multiplier' => 1E-2, 'name' => 'centi' ),
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'm' => array( 'multiplier' => 1E-3, 'name' => 'milli' ),
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'u' => array( 'multiplier' => 1E-6, 'name' => 'micro' ),
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'n' => array( 'multiplier' => 1E-9, 'name' => 'nano' ),
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'p' => array( 'multiplier' => 1E-12, 'name' => 'pico' ),
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'f' => array( 'multiplier' => 1E-15, 'name' => 'femto' ),
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'a' => array( 'multiplier' => 1E-18, 'name' => 'atto' ),
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'z' => array( 'multiplier' => 1E-21, 'name' => 'zepto' ),
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'y' => array( 'multiplier' => 1E-24, 'name' => 'yocto' )
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);
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/**
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* Details of the Units of measure conversion factors, organised by group
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*
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* @var mixed[]
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*/
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private static $_unitConversions = array( 'Mass' => array( 'g' => array( 'g' => 1.0,
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'sg' => 6.85220500053478E-05,
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'lbm' => 2.20462291469134E-03,
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'u' => 6.02217000000000E+23,
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'ozm' => 3.52739718003627E-02
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),
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'sg' => array( 'g' => 1.45938424189287E+04,
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'sg' => 1.0,
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'lbm' => 3.21739194101647E+01,
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'u' => 8.78866000000000E+27,
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'ozm' => 5.14782785944229E+02
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),
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'lbm' => array( 'g' => 4.5359230974881148E+02,
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'sg' => 3.10810749306493E-02,
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'lbm' => 1.0,
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'u' => 2.73161000000000E+26,
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'ozm' => 1.60000023429410E+01
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),
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'u' => array( 'g' => 1.66053100460465E-24,
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'sg' => 1.13782988532950E-28,
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'lbm' => 3.66084470330684E-27,
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'u' => 1.0,
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'ozm' => 5.85735238300524E-26
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),
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'ozm' => array( 'g' => 2.83495152079732E+01,
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'sg' => 1.94256689870811E-03,
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'lbm' => 6.24999908478882E-02,
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'u' => 1.70725600000000E+25,
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'ozm' => 1.0
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)
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),
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'Distance' => array( 'm' => array( 'm' => 1.0,
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'mi' => 6.21371192237334E-04,
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'Nmi' => 5.39956803455724E-04,
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'in' => 3.93700787401575E+01,
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'ft' => 3.28083989501312E+00,
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'yd' => 1.09361329797891E+00,
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'ang' => 1.00000000000000E+10,
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'Pica' => 2.83464566929116E+03
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),
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'mi' => array( 'm' => 1.60934400000000E+03,
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'mi' => 1.0,
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'Nmi' => 8.68976241900648E-01,
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'in' => 6.33600000000000E+04,
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'ft' => 5.28000000000000E+03,
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'yd' => 1.76000000000000E+03,
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'ang' => 1.60934400000000E+13,
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'Pica' => 4.56191999999971E+06
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),
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'Nmi' => array( 'm' => 1.85200000000000E+03,
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'mi' => 1.15077944802354E+00,
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'Nmi' => 1.0,
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'in' => 7.29133858267717E+04,
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'ft' => 6.07611548556430E+03,
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'yd' => 2.02537182785694E+03,
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'ang' => 1.85200000000000E+13,
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'Pica' => 5.24976377952723E+06
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),
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'in' => array( 'm' => 2.54000000000000E-02,
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'mi' => 1.57828282828283E-05,
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'Nmi' => 1.37149028077754E-05,
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'in' => 1.0,
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'ft' => 8.33333333333333E-02,
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'yd' => 2.77777777686643E-02,
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'ang' => 2.54000000000000E+08,
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'Pica' => 7.19999999999955E+01
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),
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'ft' => array( 'm' => 3.04800000000000E-01,
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'mi' => 1.89393939393939E-04,
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'Nmi' => 1.64578833693305E-04,
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'in' => 1.20000000000000E+01,
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'ft' => 1.0,
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'yd' => 3.33333333223972E-01,
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'ang' => 3.04800000000000E+09,
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'Pica' => 8.63999999999946E+02
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),
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'yd' => array( 'm' => 9.14400000300000E-01,
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'mi' => 5.68181818368230E-04,
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'Nmi' => 4.93736501241901E-04,
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'in' => 3.60000000118110E+01,
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'ft' => 3.00000000000000E+00,
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'yd' => 1.0,
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'ang' => 9.14400000300000E+09,
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'Pica' => 2.59200000085023E+03
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),
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'ang' => array( 'm' => 1.00000000000000E-10,
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'mi' => 6.21371192237334E-14,
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'Nmi' => 5.39956803455724E-14,
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'in' => 3.93700787401575E-09,
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'ft' => 3.28083989501312E-10,
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'yd' => 1.09361329797891E-10,
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'ang' => 1.0,
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'Pica' => 2.83464566929116E-07
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),
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'Pica' => array( 'm' => 3.52777777777800E-04,
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'mi' => 2.19205948372629E-07,
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'Nmi' => 1.90484761219114E-07,
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'in' => 1.38888888888898E-02,
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'ft' => 1.15740740740748E-03,
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'yd' => 3.85802469009251E-04,
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'ang' => 3.52777777777800E+06,
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'Pica' => 1.0
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)
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),
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|
258 |
'Time' => array( 'yr' => array( 'yr' => 1.0,
|
|
|
259 |
'day' => 365.25,
|
|
|
260 |
'hr' => 8766.0,
|
|
|
261 |
'mn' => 525960.0,
|
|
|
262 |
'sec' => 31557600.0
|
|
|
263 |
),
|
|
|
264 |
'day' => array( 'yr' => 2.73785078713210E-03,
|
|
|
265 |
'day' => 1.0,
|
|
|
266 |
'hr' => 24.0,
|
|
|
267 |
'mn' => 1440.0,
|
|
|
268 |
'sec' => 86400.0
|
|
|
269 |
),
|
|
|
270 |
'hr' => array( 'yr' => 1.14077116130504E-04,
|
|
|
271 |
'day' => 4.16666666666667E-02,
|
|
|
272 |
'hr' => 1.0,
|
|
|
273 |
'mn' => 60.0,
|
|
|
274 |
'sec' => 3600.0
|
|
|
275 |
),
|
|
|
276 |
'mn' => array( 'yr' => 1.90128526884174E-06,
|
|
|
277 |
'day' => 6.94444444444444E-04,
|
|
|
278 |
'hr' => 1.66666666666667E-02,
|
|
|
279 |
'mn' => 1.0,
|
|
|
280 |
'sec' => 60.0
|
|
|
281 |
),
|
|
|
282 |
'sec' => array( 'yr' => 3.16880878140289E-08,
|
|
|
283 |
'day' => 1.15740740740741E-05,
|
|
|
284 |
'hr' => 2.77777777777778E-04,
|
|
|
285 |
'mn' => 1.66666666666667E-02,
|
|
|
286 |
'sec' => 1.0
|
|
|
287 |
)
|
|
|
288 |
),
|
|
|
289 |
'Pressure' => array( 'Pa' => array( 'Pa' => 1.0,
|
|
|
290 |
'p' => 1.0,
|
|
|
291 |
'atm' => 9.86923299998193E-06,
|
|
|
292 |
'at' => 9.86923299998193E-06,
|
|
|
293 |
'mmHg' => 7.50061707998627E-03
|
|
|
294 |
),
|
|
|
295 |
'p' => array( 'Pa' => 1.0,
|
|
|
296 |
'p' => 1.0,
|
|
|
297 |
'atm' => 9.86923299998193E-06,
|
|
|
298 |
'at' => 9.86923299998193E-06,
|
|
|
299 |
'mmHg' => 7.50061707998627E-03
|
|
|
300 |
),
|
|
|
301 |
'atm' => array( 'Pa' => 1.01324996583000E+05,
|
|
|
302 |
'p' => 1.01324996583000E+05,
|
|
|
303 |
'atm' => 1.0,
|
|
|
304 |
'at' => 1.0,
|
|
|
305 |
'mmHg' => 760.0
|
|
|
306 |
),
|
|
|
307 |
'at' => array( 'Pa' => 1.01324996583000E+05,
|
|
|
308 |
'p' => 1.01324996583000E+05,
|
|
|
309 |
'atm' => 1.0,
|
|
|
310 |
'at' => 1.0,
|
|
|
311 |
'mmHg' => 760.0
|
|
|
312 |
),
|
|
|
313 |
'mmHg' => array( 'Pa' => 1.33322363925000E+02,
|
|
|
314 |
'p' => 1.33322363925000E+02,
|
|
|
315 |
'atm' => 1.31578947368421E-03,
|
|
|
316 |
'at' => 1.31578947368421E-03,
|
|
|
317 |
'mmHg' => 1.0
|
|
|
318 |
)
|
|
|
319 |
),
|
|
|
320 |
'Force' => array( 'N' => array( 'N' => 1.0,
|
|
|
321 |
'dyn' => 1.0E+5,
|
|
|
322 |
'dy' => 1.0E+5,
|
|
|
323 |
'lbf' => 2.24808923655339E-01
|
|
|
324 |
),
|
|
|
325 |
'dyn' => array( 'N' => 1.0E-5,
|
|
|
326 |
'dyn' => 1.0,
|
|
|
327 |
'dy' => 1.0,
|
|
|
328 |
'lbf' => 2.24808923655339E-06
|
|
|
329 |
),
|
|
|
330 |
'dy' => array( 'N' => 1.0E-5,
|
|
|
331 |
'dyn' => 1.0,
|
|
|
332 |
'dy' => 1.0,
|
|
|
333 |
'lbf' => 2.24808923655339E-06
|
|
|
334 |
),
|
|
|
335 |
'lbf' => array( 'N' => 4.448222,
|
|
|
336 |
'dyn' => 4.448222E+5,
|
|
|
337 |
'dy' => 4.448222E+5,
|
|
|
338 |
'lbf' => 1.0
|
|
|
339 |
)
|
|
|
340 |
),
|
|
|
341 |
'Energy' => array( 'J' => array( 'J' => 1.0,
|
|
|
342 |
'e' => 9.99999519343231E+06,
|
|
|
343 |
'c' => 2.39006249473467E-01,
|
|
|
344 |
'cal' => 2.38846190642017E-01,
|
|
|
345 |
'eV' => 6.24145700000000E+18,
|
|
|
346 |
'ev' => 6.24145700000000E+18,
|
|
|
347 |
'HPh' => 3.72506430801000E-07,
|
|
|
348 |
'hh' => 3.72506430801000E-07,
|
|
|
349 |
'Wh' => 2.77777916238711E-04,
|
|
|
350 |
'wh' => 2.77777916238711E-04,
|
|
|
351 |
'flb' => 2.37304222192651E+01,
|
|
|
352 |
'BTU' => 9.47815067349015E-04,
|
|
|
353 |
'btu' => 9.47815067349015E-04
|
|
|
354 |
),
|
|
|
355 |
'e' => array( 'J' => 1.00000048065700E-07,
|
|
|
356 |
'e' => 1.0,
|
|
|
357 |
'c' => 2.39006364353494E-08,
|
|
|
358 |
'cal' => 2.38846305445111E-08,
|
|
|
359 |
'eV' => 6.24146000000000E+11,
|
|
|
360 |
'ev' => 6.24146000000000E+11,
|
|
|
361 |
'HPh' => 3.72506609848824E-14,
|
|
|
362 |
'hh' => 3.72506609848824E-14,
|
|
|
363 |
'Wh' => 2.77778049754611E-11,
|
|
|
364 |
'wh' => 2.77778049754611E-11,
|
|
|
365 |
'flb' => 2.37304336254586E-06,
|
|
|
366 |
'BTU' => 9.47815522922962E-11,
|
|
|
367 |
'btu' => 9.47815522922962E-11
|
|
|
368 |
),
|
|
|
369 |
'c' => array( 'J' => 4.18399101363672E+00,
|
|
|
370 |
'e' => 4.18398900257312E+07,
|
|
|
371 |
'c' => 1.0,
|
|
|
372 |
'cal' => 9.99330315287563E-01,
|
|
|
373 |
'eV' => 2.61142000000000E+19,
|
|
|
374 |
'ev' => 2.61142000000000E+19,
|
|
|
375 |
'HPh' => 1.55856355899327E-06,
|
|
|
376 |
'hh' => 1.55856355899327E-06,
|
|
|
377 |
'Wh' => 1.16222030532950E-03,
|
|
|
378 |
'wh' => 1.16222030532950E-03,
|
|
|
379 |
'flb' => 9.92878733152102E+01,
|
|
|
380 |
'BTU' => 3.96564972437776E-03,
|
|
|
381 |
'btu' => 3.96564972437776E-03
|
|
|
382 |
),
|
|
|
383 |
'cal' => array( 'J' => 4.18679484613929E+00,
|
|
|
384 |
'e' => 4.18679283372801E+07,
|
|
|
385 |
'c' => 1.00067013349059E+00,
|
|
|
386 |
'cal' => 1.0,
|
|
|
387 |
'eV' => 2.61317000000000E+19,
|
|
|
388 |
'ev' => 2.61317000000000E+19,
|
|
|
389 |
'HPh' => 1.55960800463137E-06,
|
|
|
390 |
'hh' => 1.55960800463137E-06,
|
|
|
391 |
'Wh' => 1.16299914807955E-03,
|
|
|
392 |
'wh' => 1.16299914807955E-03,
|
|
|
393 |
'flb' => 9.93544094443283E+01,
|
|
|
394 |
'BTU' => 3.96830723907002E-03,
|
|
|
395 |
'btu' => 3.96830723907002E-03
|
|
|
396 |
),
|
|
|
397 |
'eV' => array( 'J' => 1.60219000146921E-19,
|
|
|
398 |
'e' => 1.60218923136574E-12,
|
|
|
399 |
'c' => 3.82933423195043E-20,
|
|
|
400 |
'cal' => 3.82676978535648E-20,
|
|
|
401 |
'eV' => 1.0,
|
|
|
402 |
'ev' => 1.0,
|
|
|
403 |
'HPh' => 5.96826078912344E-26,
|
|
|
404 |
'hh' => 5.96826078912344E-26,
|
|
|
405 |
'Wh' => 4.45053000026614E-23,
|
|
|
406 |
'wh' => 4.45053000026614E-23,
|
|
|
407 |
'flb' => 3.80206452103492E-18,
|
|
|
408 |
'BTU' => 1.51857982414846E-22,
|
|
|
409 |
'btu' => 1.51857982414846E-22
|
|
|
410 |
),
|
|
|
411 |
'ev' => array( 'J' => 1.60219000146921E-19,
|
|
|
412 |
'e' => 1.60218923136574E-12,
|
|
|
413 |
'c' => 3.82933423195043E-20,
|
|
|
414 |
'cal' => 3.82676978535648E-20,
|
|
|
415 |
'eV' => 1.0,
|
|
|
416 |
'ev' => 1.0,
|
|
|
417 |
'HPh' => 5.96826078912344E-26,
|
|
|
418 |
'hh' => 5.96826078912344E-26,
|
|
|
419 |
'Wh' => 4.45053000026614E-23,
|
|
|
420 |
'wh' => 4.45053000026614E-23,
|
|
|
421 |
'flb' => 3.80206452103492E-18,
|
|
|
422 |
'BTU' => 1.51857982414846E-22,
|
|
|
423 |
'btu' => 1.51857982414846E-22
|
|
|
424 |
),
|
|
|
425 |
'HPh' => array( 'J' => 2.68451741316170E+06,
|
|
|
426 |
'e' => 2.68451612283024E+13,
|
|
|
427 |
'c' => 6.41616438565991E+05,
|
|
|
428 |
'cal' => 6.41186757845835E+05,
|
|
|
429 |
'eV' => 1.67553000000000E+25,
|
|
|
430 |
'ev' => 1.67553000000000E+25,
|
|
|
431 |
'HPh' => 1.0,
|
|
|
432 |
'hh' => 1.0,
|
|
|
433 |
'Wh' => 7.45699653134593E+02,
|
|
|
434 |
'wh' => 7.45699653134593E+02,
|
|
|
435 |
'flb' => 6.37047316692964E+07,
|
|
|
436 |
'BTU' => 2.54442605275546E+03,
|
|
|
437 |
'btu' => 2.54442605275546E+03
|
|
|
438 |
),
|
|
|
439 |
'hh' => array( 'J' => 2.68451741316170E+06,
|
|
|
440 |
'e' => 2.68451612283024E+13,
|
|
|
441 |
'c' => 6.41616438565991E+05,
|
|
|
442 |
'cal' => 6.41186757845835E+05,
|
|
|
443 |
'eV' => 1.67553000000000E+25,
|
|
|
444 |
'ev' => 1.67553000000000E+25,
|
|
|
445 |
'HPh' => 1.0,
|
|
|
446 |
'hh' => 1.0,
|
|
|
447 |
'Wh' => 7.45699653134593E+02,
|
|
|
448 |
'wh' => 7.45699653134593E+02,
|
|
|
449 |
'flb' => 6.37047316692964E+07,
|
|
|
450 |
'BTU' => 2.54442605275546E+03,
|
|
|
451 |
'btu' => 2.54442605275546E+03
|
|
|
452 |
),
|
|
|
453 |
'Wh' => array( 'J' => 3.59999820554720E+03,
|
|
|
454 |
'e' => 3.59999647518369E+10,
|
|
|
455 |
'c' => 8.60422069219046E+02,
|
|
|
456 |
'cal' => 8.59845857713046E+02,
|
|
|
457 |
'eV' => 2.24692340000000E+22,
|
|
|
458 |
'ev' => 2.24692340000000E+22,
|
|
|
459 |
'HPh' => 1.34102248243839E-03,
|
|
|
460 |
'hh' => 1.34102248243839E-03,
|
|
|
461 |
'Wh' => 1.0,
|
|
|
462 |
'wh' => 1.0,
|
|
|
463 |
'flb' => 8.54294774062316E+04,
|
|
|
464 |
'BTU' => 3.41213254164705E+00,
|
|
|
465 |
'btu' => 3.41213254164705E+00
|
|
|
466 |
),
|
|
|
467 |
'wh' => array( 'J' => 3.59999820554720E+03,
|
|
|
468 |
'e' => 3.59999647518369E+10,
|
|
|
469 |
'c' => 8.60422069219046E+02,
|
|
|
470 |
'cal' => 8.59845857713046E+02,
|
|
|
471 |
'eV' => 2.24692340000000E+22,
|
|
|
472 |
'ev' => 2.24692340000000E+22,
|
|
|
473 |
'HPh' => 1.34102248243839E-03,
|
|
|
474 |
'hh' => 1.34102248243839E-03,
|
|
|
475 |
'Wh' => 1.0,
|
|
|
476 |
'wh' => 1.0,
|
|
|
477 |
'flb' => 8.54294774062316E+04,
|
|
|
478 |
'BTU' => 3.41213254164705E+00,
|
|
|
479 |
'btu' => 3.41213254164705E+00
|
|
|
480 |
),
|
|
|
481 |
'flb' => array( 'J' => 4.21400003236424E-02,
|
|
|
482 |
'e' => 4.21399800687660E+05,
|
|
|
483 |
'c' => 1.00717234301644E-02,
|
|
|
484 |
'cal' => 1.00649785509554E-02,
|
|
|
485 |
'eV' => 2.63015000000000E+17,
|
|
|
486 |
'ev' => 2.63015000000000E+17,
|
|
|
487 |
'HPh' => 1.56974211145130E-08,
|
|
|
488 |
'hh' => 1.56974211145130E-08,
|
|
|
489 |
'Wh' => 1.17055614802000E-05,
|
|
|
490 |
'wh' => 1.17055614802000E-05,
|
|
|
491 |
'flb' => 1.0,
|
|
|
492 |
'BTU' => 3.99409272448406E-05,
|
|
|
493 |
'btu' => 3.99409272448406E-05
|
|
|
494 |
),
|
|
|
495 |
'BTU' => array( 'J' => 1.05505813786749E+03,
|
|
|
496 |
'e' => 1.05505763074665E+10,
|
|
|
497 |
'c' => 2.52165488508168E+02,
|
|
|
498 |
'cal' => 2.51996617135510E+02,
|
|
|
499 |
'eV' => 6.58510000000000E+21,
|
|
|
500 |
'ev' => 6.58510000000000E+21,
|
|
|
501 |
'HPh' => 3.93015941224568E-04,
|
|
|
502 |
'hh' => 3.93015941224568E-04,
|
|
|
503 |
'Wh' => 2.93071851047526E-01,
|
|
|
504 |
'wh' => 2.93071851047526E-01,
|
|
|
505 |
'flb' => 2.50369750774671E+04,
|
|
|
506 |
'BTU' => 1.0,
|
|
|
507 |
'btu' => 1.0,
|
|
|
508 |
),
|
|
|
509 |
'btu' => array( 'J' => 1.05505813786749E+03,
|
|
|
510 |
'e' => 1.05505763074665E+10,
|
|
|
511 |
'c' => 2.52165488508168E+02,
|
|
|
512 |
'cal' => 2.51996617135510E+02,
|
|
|
513 |
'eV' => 6.58510000000000E+21,
|
|
|
514 |
'ev' => 6.58510000000000E+21,
|
|
|
515 |
'HPh' => 3.93015941224568E-04,
|
|
|
516 |
'hh' => 3.93015941224568E-04,
|
|
|
517 |
'Wh' => 2.93071851047526E-01,
|
|
|
518 |
'wh' => 2.93071851047526E-01,
|
|
|
519 |
'flb' => 2.50369750774671E+04,
|
|
|
520 |
'BTU' => 1.0,
|
|
|
521 |
'btu' => 1.0,
|
|
|
522 |
)
|
|
|
523 |
),
|
|
|
524 |
'Power' => array( 'HP' => array( 'HP' => 1.0,
|
|
|
525 |
'h' => 1.0,
|
|
|
526 |
'W' => 7.45701000000000E+02,
|
|
|
527 |
'w' => 7.45701000000000E+02
|
|
|
528 |
),
|
|
|
529 |
'h' => array( 'HP' => 1.0,
|
|
|
530 |
'h' => 1.0,
|
|
|
531 |
'W' => 7.45701000000000E+02,
|
|
|
532 |
'w' => 7.45701000000000E+02
|
|
|
533 |
),
|
|
|
534 |
'W' => array( 'HP' => 1.34102006031908E-03,
|
|
|
535 |
'h' => 1.34102006031908E-03,
|
|
|
536 |
'W' => 1.0,
|
|
|
537 |
'w' => 1.0
|
|
|
538 |
),
|
|
|
539 |
'w' => array( 'HP' => 1.34102006031908E-03,
|
|
|
540 |
'h' => 1.34102006031908E-03,
|
|
|
541 |
'W' => 1.0,
|
|
|
542 |
'w' => 1.0
|
|
|
543 |
)
|
|
|
544 |
),
|
|
|
545 |
'Magnetism' => array( 'T' => array( 'T' => 1.0,
|
|
|
546 |
'ga' => 10000.0
|
|
|
547 |
),
|
|
|
548 |
'ga' => array( 'T' => 0.0001,
|
|
|
549 |
'ga' => 1.0
|
|
|
550 |
)
|
|
|
551 |
),
|
|
|
552 |
'Liquid' => array( 'tsp' => array( 'tsp' => 1.0,
|
|
|
553 |
'tbs' => 3.33333333333333E-01,
|
|
|
554 |
'oz' => 1.66666666666667E-01,
|
|
|
555 |
'cup' => 2.08333333333333E-02,
|
|
|
556 |
'pt' => 1.04166666666667E-02,
|
|
|
557 |
'us_pt' => 1.04166666666667E-02,
|
|
|
558 |
'uk_pt' => 8.67558516821960E-03,
|
|
|
559 |
'qt' => 5.20833333333333E-03,
|
|
|
560 |
'gal' => 1.30208333333333E-03,
|
|
|
561 |
'l' => 4.92999408400710E-03,
|
|
|
562 |
'lt' => 4.92999408400710E-03
|
|
|
563 |
),
|
|
|
564 |
'tbs' => array( 'tsp' => 3.00000000000000E+00,
|
|
|
565 |
'tbs' => 1.0,
|
|
|
566 |
'oz' => 5.00000000000000E-01,
|
|
|
567 |
'cup' => 6.25000000000000E-02,
|
|
|
568 |
'pt' => 3.12500000000000E-02,
|
|
|
569 |
'us_pt' => 3.12500000000000E-02,
|
|
|
570 |
'uk_pt' => 2.60267555046588E-02,
|
|
|
571 |
'qt' => 1.56250000000000E-02,
|
|
|
572 |
'gal' => 3.90625000000000E-03,
|
|
|
573 |
'l' => 1.47899822520213E-02,
|
|
|
574 |
'lt' => 1.47899822520213E-02
|
|
|
575 |
),
|
|
|
576 |
'oz' => array( 'tsp' => 6.00000000000000E+00,
|
|
|
577 |
'tbs' => 2.00000000000000E+00,
|
|
|
578 |
'oz' => 1.0,
|
|
|
579 |
'cup' => 1.25000000000000E-01,
|
|
|
580 |
'pt' => 6.25000000000000E-02,
|
|
|
581 |
'us_pt' => 6.25000000000000E-02,
|
|
|
582 |
'uk_pt' => 5.20535110093176E-02,
|
|
|
583 |
'qt' => 3.12500000000000E-02,
|
|
|
584 |
'gal' => 7.81250000000000E-03,
|
|
|
585 |
'l' => 2.95799645040426E-02,
|
|
|
586 |
'lt' => 2.95799645040426E-02
|
|
|
587 |
),
|
|
|
588 |
'cup' => array( 'tsp' => 4.80000000000000E+01,
|
|
|
589 |
'tbs' => 1.60000000000000E+01,
|
|
|
590 |
'oz' => 8.00000000000000E+00,
|
|
|
591 |
'cup' => 1.0,
|
|
|
592 |
'pt' => 5.00000000000000E-01,
|
|
|
593 |
'us_pt' => 5.00000000000000E-01,
|
|
|
594 |
'uk_pt' => 4.16428088074541E-01,
|
|
|
595 |
'qt' => 2.50000000000000E-01,
|
|
|
596 |
'gal' => 6.25000000000000E-02,
|
|
|
597 |
'l' => 2.36639716032341E-01,
|
|
|
598 |
'lt' => 2.36639716032341E-01
|
|
|
599 |
),
|
|
|
600 |
'pt' => array( 'tsp' => 9.60000000000000E+01,
|
|
|
601 |
'tbs' => 3.20000000000000E+01,
|
|
|
602 |
'oz' => 1.60000000000000E+01,
|
|
|
603 |
'cup' => 2.00000000000000E+00,
|
|
|
604 |
'pt' => 1.0,
|
|
|
605 |
'us_pt' => 1.0,
|
|
|
606 |
'uk_pt' => 8.32856176149081E-01,
|
|
|
607 |
'qt' => 5.00000000000000E-01,
|
|
|
608 |
'gal' => 1.25000000000000E-01,
|
|
|
609 |
'l' => 4.73279432064682E-01,
|
|
|
610 |
'lt' => 4.73279432064682E-01
|
|
|
611 |
),
|
|
|
612 |
'us_pt' => array( 'tsp' => 9.60000000000000E+01,
|
|
|
613 |
'tbs' => 3.20000000000000E+01,
|
|
|
614 |
'oz' => 1.60000000000000E+01,
|
|
|
615 |
'cup' => 2.00000000000000E+00,
|
|
|
616 |
'pt' => 1.0,
|
|
|
617 |
'us_pt' => 1.0,
|
|
|
618 |
'uk_pt' => 8.32856176149081E-01,
|
|
|
619 |
'qt' => 5.00000000000000E-01,
|
|
|
620 |
'gal' => 1.25000000000000E-01,
|
|
|
621 |
'l' => 4.73279432064682E-01,
|
|
|
622 |
'lt' => 4.73279432064682E-01
|
|
|
623 |
),
|
|
|
624 |
'uk_pt' => array( 'tsp' => 1.15266000000000E+02,
|
|
|
625 |
'tbs' => 3.84220000000000E+01,
|
|
|
626 |
'oz' => 1.92110000000000E+01,
|
|
|
627 |
'cup' => 2.40137500000000E+00,
|
|
|
628 |
'pt' => 1.20068750000000E+00,
|
|
|
629 |
'us_pt' => 1.20068750000000E+00,
|
|
|
630 |
'uk_pt' => 1.0,
|
|
|
631 |
'qt' => 6.00343750000000E-01,
|
|
|
632 |
'gal' => 1.50085937500000E-01,
|
|
|
633 |
'l' => 5.68260698087162E-01,
|
|
|
634 |
'lt' => 5.68260698087162E-01
|
|
|
635 |
),
|
|
|
636 |
'qt' => array( 'tsp' => 1.92000000000000E+02,
|
|
|
637 |
'tbs' => 6.40000000000000E+01,
|
|
|
638 |
'oz' => 3.20000000000000E+01,
|
|
|
639 |
'cup' => 4.00000000000000E+00,
|
|
|
640 |
'pt' => 2.00000000000000E+00,
|
|
|
641 |
'us_pt' => 2.00000000000000E+00,
|
|
|
642 |
'uk_pt' => 1.66571235229816E+00,
|
|
|
643 |
'qt' => 1.0,
|
|
|
644 |
'gal' => 2.50000000000000E-01,
|
|
|
645 |
'l' => 9.46558864129363E-01,
|
|
|
646 |
'lt' => 9.46558864129363E-01
|
|
|
647 |
),
|
|
|
648 |
'gal' => array( 'tsp' => 7.68000000000000E+02,
|
|
|
649 |
'tbs' => 2.56000000000000E+02,
|
|
|
650 |
'oz' => 1.28000000000000E+02,
|
|
|
651 |
'cup' => 1.60000000000000E+01,
|
|
|
652 |
'pt' => 8.00000000000000E+00,
|
|
|
653 |
'us_pt' => 8.00000000000000E+00,
|
|
|
654 |
'uk_pt' => 6.66284940919265E+00,
|
|
|
655 |
'qt' => 4.00000000000000E+00,
|
|
|
656 |
'gal' => 1.0,
|
|
|
657 |
'l' => 3.78623545651745E+00,
|
|
|
658 |
'lt' => 3.78623545651745E+00
|
|
|
659 |
),
|
|
|
660 |
'l' => array( 'tsp' => 2.02840000000000E+02,
|
|
|
661 |
'tbs' => 6.76133333333333E+01,
|
|
|
662 |
'oz' => 3.38066666666667E+01,
|
|
|
663 |
'cup' => 4.22583333333333E+00,
|
|
|
664 |
'pt' => 2.11291666666667E+00,
|
|
|
665 |
'us_pt' => 2.11291666666667E+00,
|
|
|
666 |
'uk_pt' => 1.75975569552166E+00,
|
|
|
667 |
'qt' => 1.05645833333333E+00,
|
|
|
668 |
'gal' => 2.64114583333333E-01,
|
|
|
669 |
'l' => 1.0,
|
|
|
670 |
'lt' => 1.0
|
|
|
671 |
),
|
|
|
672 |
'lt' => array( 'tsp' => 2.02840000000000E+02,
|
|
|
673 |
'tbs' => 6.76133333333333E+01,
|
|
|
674 |
'oz' => 3.38066666666667E+01,
|
|
|
675 |
'cup' => 4.22583333333333E+00,
|
|
|
676 |
'pt' => 2.11291666666667E+00,
|
|
|
677 |
'us_pt' => 2.11291666666667E+00,
|
|
|
678 |
'uk_pt' => 1.75975569552166E+00,
|
|
|
679 |
'qt' => 1.05645833333333E+00,
|
|
|
680 |
'gal' => 2.64114583333333E-01,
|
|
|
681 |
'l' => 1.0,
|
|
|
682 |
'lt' => 1.0
|
|
|
683 |
)
|
|
|
684 |
)
|
|
|
685 |
);
|
|
|
686 |
|
|
|
687 |
|
|
|
688 |
/**
|
|
|
689 |
* _parseComplex
|
|
|
690 |
*
|
|
|
691 |
* Parses a complex number into its real and imaginary parts, and an I or J suffix
|
|
|
692 |
*
|
|
|
693 |
* @param string $complexNumber The complex number
|
|
|
694 |
* @return string[] Indexed on "real", "imaginary" and "suffix"
|
|
|
695 |
*/
|
|
|
696 |
public static function _parseComplex($complexNumber) {
|
|
|
697 |
$workString = (string) $complexNumber;
|
|
|
698 |
|
|
|
699 |
$realNumber = $imaginary = 0;
|
|
|
700 |
// Extract the suffix, if there is one
|
|
|
701 |
$suffix = substr($workString,-1);
|
|
|
702 |
if (!is_numeric($suffix)) {
|
|
|
703 |
$workString = substr($workString,0,-1);
|
|
|
704 |
} else {
|
|
|
705 |
$suffix = '';
|
|
|
706 |
}
|
|
|
707 |
|
|
|
708 |
// Split the input into its Real and Imaginary components
|
|
|
709 |
$leadingSign = 0;
|
|
|
710 |
if (strlen($workString) > 0) {
|
|
|
711 |
$leadingSign = (($workString{0} == '+') || ($workString{0} == '-')) ? 1 : 0;
|
|
|
712 |
}
|
|
|
713 |
$power = '';
|
|
|
714 |
$realNumber = strtok($workString, '+-');
|
|
|
715 |
if (strtoupper(substr($realNumber,-1)) == 'E') {
|
|
|
716 |
$power = strtok('+-');
|
|
|
717 |
++$leadingSign;
|
|
|
718 |
}
|
|
|
719 |
|
|
|
720 |
$realNumber = substr($workString,0,strlen($realNumber)+strlen($power)+$leadingSign);
|
|
|
721 |
|
|
|
722 |
if ($suffix != '') {
|
|
|
723 |
$imaginary = substr($workString,strlen($realNumber));
|
|
|
724 |
|
|
|
725 |
if (($imaginary == '') && (($realNumber == '') || ($realNumber == '+') || ($realNumber == '-'))) {
|
|
|
726 |
$imaginary = $realNumber.'1';
|
|
|
727 |
$realNumber = '0';
|
|
|
728 |
} else if ($imaginary == '') {
|
|
|
729 |
$imaginary = $realNumber;
|
|
|
730 |
$realNumber = '0';
|
|
|
731 |
} elseif (($imaginary == '+') || ($imaginary == '-')) {
|
|
|
732 |
$imaginary .= '1';
|
|
|
733 |
}
|
|
|
734 |
}
|
|
|
735 |
|
|
|
736 |
return array( 'real' => $realNumber,
|
|
|
737 |
'imaginary' => $imaginary,
|
|
|
738 |
'suffix' => $suffix
|
|
|
739 |
);
|
|
|
740 |
} // function _parseComplex()
|
|
|
741 |
|
|
|
742 |
|
|
|
743 |
/**
|
|
|
744 |
* Cleans the leading characters in a complex number string
|
|
|
745 |
*
|
|
|
746 |
* @param string $complexNumber The complex number to clean
|
|
|
747 |
* @return string The "cleaned" complex number
|
|
|
748 |
*/
|
|
|
749 |
private static function _cleanComplex($complexNumber) {
|
|
|
750 |
if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1);
|
|
|
751 |
if ($complexNumber{0} == '0') $complexNumber = substr($complexNumber,1);
|
|
|
752 |
if ($complexNumber{0} == '.') $complexNumber = '0'.$complexNumber;
|
|
|
753 |
if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1);
|
|
|
754 |
return $complexNumber;
|
|
|
755 |
}
|
|
|
756 |
|
|
|
757 |
/**
|
|
|
758 |
* Formats a number base string value with leading zeroes
|
|
|
759 |
*
|
|
|
760 |
* @param string $xVal The "number" to pad
|
|
|
761 |
* @param integer $places The length that we want to pad this value
|
|
|
762 |
* @return string The padded "number"
|
|
|
763 |
*/
|
|
|
764 |
private static function _nbrConversionFormat($xVal, $places) {
|
|
|
765 |
if (!is_null($places)) {
|
|
|
766 |
if (strlen($xVal) <= $places) {
|
|
|
767 |
return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10);
|
|
|
768 |
} else {
|
|
|
769 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
770 |
}
|
|
|
771 |
}
|
|
|
772 |
|
|
|
773 |
return substr($xVal, -10);
|
|
|
774 |
} // function _nbrConversionFormat()
|
|
|
775 |
|
|
|
776 |
/**
|
|
|
777 |
* BESSELI
|
|
|
778 |
*
|
|
|
779 |
* Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated
|
|
|
780 |
* for purely imaginary arguments
|
|
|
781 |
*
|
|
|
782 |
* Excel Function:
|
|
|
783 |
* BESSELI(x,ord)
|
|
|
784 |
*
|
|
|
785 |
* @access public
|
|
|
786 |
* @category Engineering Functions
|
|
|
787 |
* @param float $x The value at which to evaluate the function.
|
|
|
788 |
* If x is nonnumeric, BESSELI returns the #VALUE! error value.
|
|
|
789 |
* @param integer $ord The order of the Bessel function.
|
|
|
790 |
* If ord is not an integer, it is truncated.
|
|
|
791 |
* If $ord is nonnumeric, BESSELI returns the #VALUE! error value.
|
|
|
792 |
* If $ord < 0, BESSELI returns the #NUM! error value.
|
|
|
793 |
* @return float
|
|
|
794 |
*
|
|
|
795 |
*/
|
|
|
796 |
public static function BESSELI($x, $ord) {
|
|
|
797 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
798 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
|
|
|
799 |
|
|
|
800 |
if ((is_numeric($x)) && (is_numeric($ord))) {
|
|
|
801 |
$ord = floor($ord);
|
|
|
802 |
if ($ord < 0) {
|
|
|
803 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
804 |
}
|
|
|
805 |
|
|
|
806 |
if (abs($x) <= 30) {
|
|
|
807 |
$fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
|
|
|
808 |
$ordK = 1;
|
|
|
809 |
$fSqrX = ($x * $x) / 4;
|
|
|
810 |
do {
|
|
|
811 |
$fTerm *= $fSqrX;
|
|
|
812 |
$fTerm /= ($ordK * ($ordK + $ord));
|
|
|
813 |
$fResult += $fTerm;
|
|
|
814 |
} while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
|
|
|
815 |
} else {
|
|
|
816 |
$f_2_PI = 2 * M_PI;
|
|
|
817 |
|
|
|
818 |
$fXAbs = abs($x);
|
|
|
819 |
$fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs);
|
|
|
820 |
if (($ord & 1) && ($x < 0)) {
|
|
|
821 |
$fResult = -$fResult;
|
|
|
822 |
}
|
|
|
823 |
}
|
|
|
824 |
return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
|
|
|
825 |
}
|
|
|
826 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
827 |
} // function BESSELI()
|
|
|
828 |
|
|
|
829 |
|
|
|
830 |
/**
|
|
|
831 |
* BESSELJ
|
|
|
832 |
*
|
|
|
833 |
* Returns the Bessel function
|
|
|
834 |
*
|
|
|
835 |
* Excel Function:
|
|
|
836 |
* BESSELJ(x,ord)
|
|
|
837 |
*
|
|
|
838 |
* @access public
|
|
|
839 |
* @category Engineering Functions
|
|
|
840 |
* @param float $x The value at which to evaluate the function.
|
|
|
841 |
* If x is nonnumeric, BESSELJ returns the #VALUE! error value.
|
|
|
842 |
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated.
|
|
|
843 |
* If $ord is nonnumeric, BESSELJ returns the #VALUE! error value.
|
|
|
844 |
* If $ord < 0, BESSELJ returns the #NUM! error value.
|
|
|
845 |
* @return float
|
|
|
846 |
*
|
|
|
847 |
*/
|
|
|
848 |
public static function BESSELJ($x, $ord) {
|
|
|
849 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
850 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
|
|
|
851 |
|
|
|
852 |
if ((is_numeric($x)) && (is_numeric($ord))) {
|
|
|
853 |
$ord = floor($ord);
|
|
|
854 |
if ($ord < 0) {
|
|
|
855 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
856 |
}
|
|
|
857 |
|
|
|
858 |
$fResult = 0;
|
|
|
859 |
if (abs($x) <= 30) {
|
|
|
860 |
$fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
|
|
|
861 |
$ordK = 1;
|
|
|
862 |
$fSqrX = ($x * $x) / -4;
|
|
|
863 |
do {
|
|
|
864 |
$fTerm *= $fSqrX;
|
|
|
865 |
$fTerm /= ($ordK * ($ordK + $ord));
|
|
|
866 |
$fResult += $fTerm;
|
|
|
867 |
} while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
|
|
|
868 |
} else {
|
|
|
869 |
$f_PI_DIV_2 = M_PI / 2;
|
|
|
870 |
$f_PI_DIV_4 = M_PI / 4;
|
|
|
871 |
|
|
|
872 |
$fXAbs = abs($x);
|
|
|
873 |
$fResult = sqrt(M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4);
|
|
|
874 |
if (($ord & 1) && ($x < 0)) {
|
|
|
875 |
$fResult = -$fResult;
|
|
|
876 |
}
|
|
|
877 |
}
|
|
|
878 |
return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
|
|
|
879 |
}
|
|
|
880 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
881 |
} // function BESSELJ()
|
|
|
882 |
|
|
|
883 |
|
|
|
884 |
private static function _Besselk0($fNum) {
|
|
|
885 |
if ($fNum <= 2) {
|
|
|
886 |
$fNum2 = $fNum * 0.5;
|
|
|
887 |
$y = ($fNum2 * $fNum2);
|
|
|
888 |
$fRet = -log($fNum2) * self::BESSELI($fNum, 0) +
|
|
|
889 |
(-0.57721566 + $y * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y *
|
|
|
890 |
(0.10750e-3 + $y * 0.74e-5))))));
|
|
|
891 |
} else {
|
|
|
892 |
$y = 2 / $fNum;
|
|
|
893 |
$fRet = exp(-$fNum) / sqrt($fNum) *
|
|
|
894 |
(1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y *
|
|
|
895 |
(0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3))))));
|
|
|
896 |
}
|
|
|
897 |
return $fRet;
|
|
|
898 |
} // function _Besselk0()
|
|
|
899 |
|
|
|
900 |
|
|
|
901 |
private static function _Besselk1($fNum) {
|
|
|
902 |
if ($fNum <= 2) {
|
|
|
903 |
$fNum2 = $fNum * 0.5;
|
|
|
904 |
$y = ($fNum2 * $fNum2);
|
|
|
905 |
$fRet = log($fNum2) * self::BESSELI($fNum, 1) +
|
|
|
906 |
(1 + $y * (0.15443144 + $y * (-0.67278579 + $y * (-0.18156897 + $y * (-0.1919402e-1 + $y *
|
|
|
907 |
(-0.110404e-2 + $y * (-0.4686e-4))))))) / $fNum;
|
|
|
908 |
} else {
|
|
|
909 |
$y = 2 / $fNum;
|
|
|
910 |
$fRet = exp(-$fNum) / sqrt($fNum) *
|
|
|
911 |
(1.25331414 + $y * (0.23498619 + $y * (-0.3655620e-1 + $y * (0.1504268e-1 + $y * (-0.780353e-2 + $y *
|
|
|
912 |
(0.325614e-2 + $y * (-0.68245e-3)))))));
|
|
|
913 |
}
|
|
|
914 |
return $fRet;
|
|
|
915 |
} // function _Besselk1()
|
|
|
916 |
|
|
|
917 |
|
|
|
918 |
/**
|
|
|
919 |
* BESSELK
|
|
|
920 |
*
|
|
|
921 |
* Returns the modified Bessel function Kn(x), which is equivalent to the Bessel functions evaluated
|
|
|
922 |
* for purely imaginary arguments.
|
|
|
923 |
*
|
|
|
924 |
* Excel Function:
|
|
|
925 |
* BESSELK(x,ord)
|
|
|
926 |
*
|
|
|
927 |
* @access public
|
|
|
928 |
* @category Engineering Functions
|
|
|
929 |
* @param float $x The value at which to evaluate the function.
|
|
|
930 |
* If x is nonnumeric, BESSELK returns the #VALUE! error value.
|
|
|
931 |
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated.
|
|
|
932 |
* If $ord is nonnumeric, BESSELK returns the #VALUE! error value.
|
|
|
933 |
* If $ord < 0, BESSELK returns the #NUM! error value.
|
|
|
934 |
* @return float
|
|
|
935 |
*
|
|
|
936 |
*/
|
|
|
937 |
public static function BESSELK($x, $ord) {
|
|
|
938 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
939 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
|
|
|
940 |
|
|
|
941 |
if ((is_numeric($x)) && (is_numeric($ord))) {
|
|
|
942 |
if (($ord < 0) || ($x == 0.0)) {
|
|
|
943 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
944 |
}
|
|
|
945 |
|
|
|
946 |
switch(floor($ord)) {
|
|
|
947 |
case 0 : return self::_Besselk0($x);
|
|
|
948 |
break;
|
|
|
949 |
case 1 : return self::_Besselk1($x);
|
|
|
950 |
break;
|
|
|
951 |
default : $fTox = 2 / $x;
|
|
|
952 |
$fBkm = self::_Besselk0($x);
|
|
|
953 |
$fBk = self::_Besselk1($x);
|
|
|
954 |
for ($n = 1; $n < $ord; ++$n) {
|
|
|
955 |
$fBkp = $fBkm + $n * $fTox * $fBk;
|
|
|
956 |
$fBkm = $fBk;
|
|
|
957 |
$fBk = $fBkp;
|
|
|
958 |
}
|
|
|
959 |
}
|
|
|
960 |
return (is_nan($fBk)) ? PHPExcel_Calculation_Functions::NaN() : $fBk;
|
|
|
961 |
}
|
|
|
962 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
963 |
} // function BESSELK()
|
|
|
964 |
|
|
|
965 |
|
|
|
966 |
private static function _Bessely0($fNum) {
|
|
|
967 |
if ($fNum < 8.0) {
|
|
|
968 |
$y = ($fNum * $fNum);
|
|
|
969 |
$f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733))));
|
|
|
970 |
$f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.26470 + $y * (226.1030244 + $y))));
|
|
|
971 |
$fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum);
|
|
|
972 |
} else {
|
|
|
973 |
$z = 8.0 / $fNum;
|
|
|
974 |
$y = ($z * $z);
|
|
|
975 |
$xx = $fNum - 0.785398164;
|
|
|
976 |
$f1 = 1 + $y * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6)));
|
|
|
977 |
$f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7))));
|
|
|
978 |
$fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2);
|
|
|
979 |
}
|
|
|
980 |
return $fRet;
|
|
|
981 |
} // function _Bessely0()
|
|
|
982 |
|
|
|
983 |
|
|
|
984 |
private static function _Bessely1($fNum) {
|
|
|
985 |
if ($fNum < 8.0) {
|
|
|
986 |
$y = ($fNum * $fNum);
|
|
|
987 |
$f1 = $fNum * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y *
|
|
|
988 |
(-0.4237922726e7 + $y * 0.8511937935e4)))));
|
|
|
989 |
$f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y *
|
|
|
990 |
(0.1020426050e6 + $y * (0.3549632885e3 + $y)))));
|
|
|
991 |
$fRet = $f1 / $f2 + 0.636619772 * ( self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum);
|
|
|
992 |
} else {
|
|
|
993 |
$fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491);
|
|
|
994 |
}
|
|
|
995 |
return $fRet;
|
|
|
996 |
} // function _Bessely1()
|
|
|
997 |
|
|
|
998 |
|
|
|
999 |
/**
|
|
|
1000 |
* BESSELY
|
|
|
1001 |
*
|
|
|
1002 |
* Returns the Bessel function, which is also called the Weber function or the Neumann function.
|
|
|
1003 |
*
|
|
|
1004 |
* Excel Function:
|
|
|
1005 |
* BESSELY(x,ord)
|
|
|
1006 |
*
|
|
|
1007 |
* @access public
|
|
|
1008 |
* @category Engineering Functions
|
|
|
1009 |
* @param float $x The value at which to evaluate the function.
|
|
|
1010 |
* If x is nonnumeric, BESSELK returns the #VALUE! error value.
|
|
|
1011 |
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated.
|
|
|
1012 |
* If $ord is nonnumeric, BESSELK returns the #VALUE! error value.
|
|
|
1013 |
* If $ord < 0, BESSELK returns the #NUM! error value.
|
|
|
1014 |
*
|
|
|
1015 |
* @return float
|
|
|
1016 |
*/
|
|
|
1017 |
public static function BESSELY($x, $ord) {
|
|
|
1018 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1019 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
|
|
|
1020 |
|
|
|
1021 |
if ((is_numeric($x)) && (is_numeric($ord))) {
|
|
|
1022 |
if (($ord < 0) || ($x == 0.0)) {
|
|
|
1023 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1024 |
}
|
|
|
1025 |
|
|
|
1026 |
switch(floor($ord)) {
|
|
|
1027 |
case 0 : return self::_Bessely0($x);
|
|
|
1028 |
break;
|
|
|
1029 |
case 1 : return self::_Bessely1($x);
|
|
|
1030 |
break;
|
|
|
1031 |
default: $fTox = 2 / $x;
|
|
|
1032 |
$fBym = self::_Bessely0($x);
|
|
|
1033 |
$fBy = self::_Bessely1($x);
|
|
|
1034 |
for ($n = 1; $n < $ord; ++$n) {
|
|
|
1035 |
$fByp = $n * $fTox * $fBy - $fBym;
|
|
|
1036 |
$fBym = $fBy;
|
|
|
1037 |
$fBy = $fByp;
|
|
|
1038 |
}
|
|
|
1039 |
}
|
|
|
1040 |
return (is_nan($fBy)) ? PHPExcel_Calculation_Functions::NaN() : $fBy;
|
|
|
1041 |
}
|
|
|
1042 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1043 |
} // function BESSELY()
|
|
|
1044 |
|
|
|
1045 |
|
|
|
1046 |
/**
|
|
|
1047 |
* BINTODEC
|
|
|
1048 |
*
|
|
|
1049 |
* Return a binary value as decimal.
|
|
|
1050 |
*
|
|
|
1051 |
* Excel Function:
|
|
|
1052 |
* BIN2DEC(x)
|
|
|
1053 |
*
|
|
|
1054 |
* @access public
|
|
|
1055 |
* @category Engineering Functions
|
|
|
1056 |
* @param string $x The binary number (as a string) that you want to convert. The number
|
|
|
1057 |
* cannot contain more than 10 characters (10 bits). The most significant
|
|
|
1058 |
* bit of number is the sign bit. The remaining 9 bits are magnitude bits.
|
|
|
1059 |
* Negative numbers are represented using two's-complement notation.
|
|
|
1060 |
* If number is not a valid binary number, or if number contains more than
|
|
|
1061 |
* 10 characters (10 bits), BIN2DEC returns the #NUM! error value.
|
|
|
1062 |
* @return string
|
|
|
1063 |
*/
|
|
|
1064 |
public static function BINTODEC($x) {
|
|
|
1065 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1066 |
|
|
|
1067 |
if (is_bool($x)) {
|
|
|
1068 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
|
|
|
1069 |
$x = (int) $x;
|
|
|
1070 |
} else {
|
|
|
1071 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1072 |
}
|
|
|
1073 |
}
|
|
|
1074 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
|
|
|
1075 |
$x = floor($x);
|
|
|
1076 |
}
|
|
|
1077 |
$x = (string) $x;
|
|
|
1078 |
if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
|
|
|
1079 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1080 |
}
|
|
|
1081 |
if (strlen($x) > 10) {
|
|
|
1082 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1083 |
} elseif (strlen($x) == 10) {
|
|
|
1084 |
// Two's Complement
|
|
|
1085 |
$x = substr($x,-9);
|
|
|
1086 |
return '-'.(512-bindec($x));
|
|
|
1087 |
}
|
|
|
1088 |
return bindec($x);
|
|
|
1089 |
} // function BINTODEC()
|
|
|
1090 |
|
|
|
1091 |
|
|
|
1092 |
/**
|
|
|
1093 |
* BINTOHEX
|
|
|
1094 |
*
|
|
|
1095 |
* Return a binary value as hex.
|
|
|
1096 |
*
|
|
|
1097 |
* Excel Function:
|
|
|
1098 |
* BIN2HEX(x[,places])
|
|
|
1099 |
*
|
|
|
1100 |
* @access public
|
|
|
1101 |
* @category Engineering Functions
|
|
|
1102 |
* @param string $x The binary number (as a string) that you want to convert. The number
|
|
|
1103 |
* cannot contain more than 10 characters (10 bits). The most significant
|
|
|
1104 |
* bit of number is the sign bit. The remaining 9 bits are magnitude bits.
|
|
|
1105 |
* Negative numbers are represented using two's-complement notation.
|
|
|
1106 |
* If number is not a valid binary number, or if number contains more than
|
|
|
1107 |
* 10 characters (10 bits), BIN2HEX returns the #NUM! error value.
|
|
|
1108 |
* @param integer $places The number of characters to use. If places is omitted, BIN2HEX uses the
|
|
|
1109 |
* minimum number of characters necessary. Places is useful for padding the
|
|
|
1110 |
* return value with leading 0s (zeros).
|
|
|
1111 |
* If places is not an integer, it is truncated.
|
|
|
1112 |
* If places is nonnumeric, BIN2HEX returns the #VALUE! error value.
|
|
|
1113 |
* If places is negative, BIN2HEX returns the #NUM! error value.
|
|
|
1114 |
* @return string
|
|
|
1115 |
*/
|
|
|
1116 |
public static function BINTOHEX($x, $places=NULL) {
|
|
|
1117 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1118 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1119 |
|
|
|
1120 |
if (is_bool($x)) {
|
|
|
1121 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
|
|
|
1122 |
$x = (int) $x;
|
|
|
1123 |
} else {
|
|
|
1124 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1125 |
}
|
|
|
1126 |
}
|
|
|
1127 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
|
|
|
1128 |
$x = floor($x);
|
|
|
1129 |
}
|
|
|
1130 |
$x = (string) $x;
|
|
|
1131 |
if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
|
|
|
1132 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1133 |
}
|
|
|
1134 |
if (strlen($x) > 10) {
|
|
|
1135 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1136 |
} elseif (strlen($x) == 10) {
|
|
|
1137 |
// Two's Complement
|
|
|
1138 |
return str_repeat('F',8).substr(strtoupper(dechex(bindec(substr($x,-9)))),-2);
|
|
|
1139 |
}
|
|
|
1140 |
$hexVal = (string) strtoupper(dechex(bindec($x)));
|
|
|
1141 |
|
|
|
1142 |
return self::_nbrConversionFormat($hexVal,$places);
|
|
|
1143 |
} // function BINTOHEX()
|
|
|
1144 |
|
|
|
1145 |
|
|
|
1146 |
/**
|
|
|
1147 |
* BINTOOCT
|
|
|
1148 |
*
|
|
|
1149 |
* Return a binary value as octal.
|
|
|
1150 |
*
|
|
|
1151 |
* Excel Function:
|
|
|
1152 |
* BIN2OCT(x[,places])
|
|
|
1153 |
*
|
|
|
1154 |
* @access public
|
|
|
1155 |
* @category Engineering Functions
|
|
|
1156 |
* @param string $x The binary number (as a string) that you want to convert. The number
|
|
|
1157 |
* cannot contain more than 10 characters (10 bits). The most significant
|
|
|
1158 |
* bit of number is the sign bit. The remaining 9 bits are magnitude bits.
|
|
|
1159 |
* Negative numbers are represented using two's-complement notation.
|
|
|
1160 |
* If number is not a valid binary number, or if number contains more than
|
|
|
1161 |
* 10 characters (10 bits), BIN2OCT returns the #NUM! error value.
|
|
|
1162 |
* @param integer $places The number of characters to use. If places is omitted, BIN2OCT uses the
|
|
|
1163 |
* minimum number of characters necessary. Places is useful for padding the
|
|
|
1164 |
* return value with leading 0s (zeros).
|
|
|
1165 |
* If places is not an integer, it is truncated.
|
|
|
1166 |
* If places is nonnumeric, BIN2OCT returns the #VALUE! error value.
|
|
|
1167 |
* If places is negative, BIN2OCT returns the #NUM! error value.
|
|
|
1168 |
* @return string
|
|
|
1169 |
*/
|
|
|
1170 |
public static function BINTOOCT($x, $places=NULL) {
|
|
|
1171 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1172 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1173 |
|
|
|
1174 |
if (is_bool($x)) {
|
|
|
1175 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
|
|
|
1176 |
$x = (int) $x;
|
|
|
1177 |
} else {
|
|
|
1178 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1179 |
}
|
|
|
1180 |
}
|
|
|
1181 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
|
|
|
1182 |
$x = floor($x);
|
|
|
1183 |
}
|
|
|
1184 |
$x = (string) $x;
|
|
|
1185 |
if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
|
|
|
1186 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1187 |
}
|
|
|
1188 |
if (strlen($x) > 10) {
|
|
|
1189 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1190 |
} elseif (strlen($x) == 10) {
|
|
|
1191 |
// Two's Complement
|
|
|
1192 |
return str_repeat('7',7).substr(strtoupper(decoct(bindec(substr($x,-9)))),-3);
|
|
|
1193 |
}
|
|
|
1194 |
$octVal = (string) decoct(bindec($x));
|
|
|
1195 |
|
|
|
1196 |
return self::_nbrConversionFormat($octVal,$places);
|
|
|
1197 |
} // function BINTOOCT()
|
|
|
1198 |
|
|
|
1199 |
|
|
|
1200 |
/**
|
|
|
1201 |
* DECTOBIN
|
|
|
1202 |
*
|
|
|
1203 |
* Return a decimal value as binary.
|
|
|
1204 |
*
|
|
|
1205 |
* Excel Function:
|
|
|
1206 |
* DEC2BIN(x[,places])
|
|
|
1207 |
*
|
|
|
1208 |
* @access public
|
|
|
1209 |
* @category Engineering Functions
|
|
|
1210 |
* @param string $x The decimal integer you want to convert. If number is negative,
|
|
|
1211 |
* valid place values are ignored and DEC2BIN returns a 10-character
|
|
|
1212 |
* (10-bit) binary number in which the most significant bit is the sign
|
|
|
1213 |
* bit. The remaining 9 bits are magnitude bits. Negative numbers are
|
|
|
1214 |
* represented using two's-complement notation.
|
|
|
1215 |
* If number < -512 or if number > 511, DEC2BIN returns the #NUM! error
|
|
|
1216 |
* value.
|
|
|
1217 |
* If number is nonnumeric, DEC2BIN returns the #VALUE! error value.
|
|
|
1218 |
* If DEC2BIN requires more than places characters, it returns the #NUM!
|
|
|
1219 |
* error value.
|
|
|
1220 |
* @param integer $places The number of characters to use. If places is omitted, DEC2BIN uses
|
|
|
1221 |
* the minimum number of characters necessary. Places is useful for
|
|
|
1222 |
* padding the return value with leading 0s (zeros).
|
|
|
1223 |
* If places is not an integer, it is truncated.
|
|
|
1224 |
* If places is nonnumeric, DEC2BIN returns the #VALUE! error value.
|
|
|
1225 |
* If places is zero or negative, DEC2BIN returns the #NUM! error value.
|
|
|
1226 |
* @return string
|
|
|
1227 |
*/
|
|
|
1228 |
public static function DECTOBIN($x, $places=NULL) {
|
|
|
1229 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1230 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1231 |
|
|
|
1232 |
if (is_bool($x)) {
|
|
|
1233 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
|
|
|
1234 |
$x = (int) $x;
|
|
|
1235 |
} else {
|
|
|
1236 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1237 |
}
|
|
|
1238 |
}
|
|
|
1239 |
$x = (string) $x;
|
|
|
1240 |
if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
|
|
|
1241 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1242 |
}
|
|
|
1243 |
$x = (string) floor($x);
|
|
|
1244 |
$r = decbin($x);
|
|
|
1245 |
if (strlen($r) == 32) {
|
|
|
1246 |
// Two's Complement
|
|
|
1247 |
$r = substr($r,-10);
|
|
|
1248 |
} elseif (strlen($r) > 11) {
|
|
|
1249 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1250 |
}
|
|
|
1251 |
|
|
|
1252 |
return self::_nbrConversionFormat($r,$places);
|
|
|
1253 |
} // function DECTOBIN()
|
|
|
1254 |
|
|
|
1255 |
|
|
|
1256 |
/**
|
|
|
1257 |
* DECTOHEX
|
|
|
1258 |
*
|
|
|
1259 |
* Return a decimal value as hex.
|
|
|
1260 |
*
|
|
|
1261 |
* Excel Function:
|
|
|
1262 |
* DEC2HEX(x[,places])
|
|
|
1263 |
*
|
|
|
1264 |
* @access public
|
|
|
1265 |
* @category Engineering Functions
|
|
|
1266 |
* @param string $x The decimal integer you want to convert. If number is negative,
|
|
|
1267 |
* places is ignored and DEC2HEX returns a 10-character (40-bit)
|
|
|
1268 |
* hexadecimal number in which the most significant bit is the sign
|
|
|
1269 |
* bit. The remaining 39 bits are magnitude bits. Negative numbers
|
|
|
1270 |
* are represented using two's-complement notation.
|
|
|
1271 |
* If number < -549,755,813,888 or if number > 549,755,813,887,
|
|
|
1272 |
* DEC2HEX returns the #NUM! error value.
|
|
|
1273 |
* If number is nonnumeric, DEC2HEX returns the #VALUE! error value.
|
|
|
1274 |
* If DEC2HEX requires more than places characters, it returns the
|
|
|
1275 |
* #NUM! error value.
|
|
|
1276 |
* @param integer $places The number of characters to use. If places is omitted, DEC2HEX uses
|
|
|
1277 |
* the minimum number of characters necessary. Places is useful for
|
|
|
1278 |
* padding the return value with leading 0s (zeros).
|
|
|
1279 |
* If places is not an integer, it is truncated.
|
|
|
1280 |
* If places is nonnumeric, DEC2HEX returns the #VALUE! error value.
|
|
|
1281 |
* If places is zero or negative, DEC2HEX returns the #NUM! error value.
|
|
|
1282 |
* @return string
|
|
|
1283 |
*/
|
|
|
1284 |
public static function DECTOHEX($x, $places=null) {
|
|
|
1285 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1286 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1287 |
|
|
|
1288 |
if (is_bool($x)) {
|
|
|
1289 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
|
|
|
1290 |
$x = (int) $x;
|
|
|
1291 |
} else {
|
|
|
1292 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1293 |
}
|
|
|
1294 |
}
|
|
|
1295 |
$x = (string) $x;
|
|
|
1296 |
if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
|
|
|
1297 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1298 |
}
|
|
|
1299 |
$x = (string) floor($x);
|
|
|
1300 |
$r = strtoupper(dechex($x));
|
|
|
1301 |
if (strlen($r) == 8) {
|
|
|
1302 |
// Two's Complement
|
|
|
1303 |
$r = 'FF'.$r;
|
|
|
1304 |
}
|
|
|
1305 |
|
|
|
1306 |
return self::_nbrConversionFormat($r,$places);
|
|
|
1307 |
} // function DECTOHEX()
|
|
|
1308 |
|
|
|
1309 |
|
|
|
1310 |
/**
|
|
|
1311 |
* DECTOOCT
|
|
|
1312 |
*
|
|
|
1313 |
* Return an decimal value as octal.
|
|
|
1314 |
*
|
|
|
1315 |
* Excel Function:
|
|
|
1316 |
* DEC2OCT(x[,places])
|
|
|
1317 |
*
|
|
|
1318 |
* @access public
|
|
|
1319 |
* @category Engineering Functions
|
|
|
1320 |
* @param string $x The decimal integer you want to convert. If number is negative,
|
|
|
1321 |
* places is ignored and DEC2OCT returns a 10-character (30-bit)
|
|
|
1322 |
* octal number in which the most significant bit is the sign bit.
|
|
|
1323 |
* The remaining 29 bits are magnitude bits. Negative numbers are
|
|
|
1324 |
* represented using two's-complement notation.
|
|
|
1325 |
* If number < -536,870,912 or if number > 536,870,911, DEC2OCT
|
|
|
1326 |
* returns the #NUM! error value.
|
|
|
1327 |
* If number is nonnumeric, DEC2OCT returns the #VALUE! error value.
|
|
|
1328 |
* If DEC2OCT requires more than places characters, it returns the
|
|
|
1329 |
* #NUM! error value.
|
|
|
1330 |
* @param integer $places The number of characters to use. If places is omitted, DEC2OCT uses
|
|
|
1331 |
* the minimum number of characters necessary. Places is useful for
|
|
|
1332 |
* padding the return value with leading 0s (zeros).
|
|
|
1333 |
* If places is not an integer, it is truncated.
|
|
|
1334 |
* If places is nonnumeric, DEC2OCT returns the #VALUE! error value.
|
|
|
1335 |
* If places is zero or negative, DEC2OCT returns the #NUM! error value.
|
|
|
1336 |
* @return string
|
|
|
1337 |
*/
|
|
|
1338 |
public static function DECTOOCT($x, $places=null) {
|
|
|
1339 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1340 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1341 |
|
|
|
1342 |
if (is_bool($x)) {
|
|
|
1343 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) {
|
|
|
1344 |
$x = (int) $x;
|
|
|
1345 |
} else {
|
|
|
1346 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1347 |
}
|
|
|
1348 |
}
|
|
|
1349 |
$x = (string) $x;
|
|
|
1350 |
if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
|
|
|
1351 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1352 |
}
|
|
|
1353 |
$x = (string) floor($x);
|
|
|
1354 |
$r = decoct($x);
|
|
|
1355 |
if (strlen($r) == 11) {
|
|
|
1356 |
// Two's Complement
|
|
|
1357 |
$r = substr($r,-10);
|
|
|
1358 |
}
|
|
|
1359 |
|
|
|
1360 |
return self::_nbrConversionFormat($r,$places);
|
|
|
1361 |
} // function DECTOOCT()
|
|
|
1362 |
|
|
|
1363 |
|
|
|
1364 |
/**
|
|
|
1365 |
* HEXTOBIN
|
|
|
1366 |
*
|
|
|
1367 |
* Return a hex value as binary.
|
|
|
1368 |
*
|
|
|
1369 |
* Excel Function:
|
|
|
1370 |
* HEX2BIN(x[,places])
|
|
|
1371 |
*
|
|
|
1372 |
* @access public
|
|
|
1373 |
* @category Engineering Functions
|
|
|
1374 |
* @param string $x the hexadecimal number you want to convert. Number cannot
|
|
|
1375 |
* contain more than 10 characters. The most significant bit of
|
|
|
1376 |
* number is the sign bit (40th bit from the right). The remaining
|
|
|
1377 |
* 9 bits are magnitude bits. Negative numbers are represented
|
|
|
1378 |
* using two's-complement notation.
|
|
|
1379 |
* If number is negative, HEX2BIN ignores places and returns a
|
|
|
1380 |
* 10-character binary number.
|
|
|
1381 |
* If number is negative, it cannot be less than FFFFFFFE00, and
|
|
|
1382 |
* if number is positive, it cannot be greater than 1FF.
|
|
|
1383 |
* If number is not a valid hexadecimal number, HEX2BIN returns
|
|
|
1384 |
* the #NUM! error value.
|
|
|
1385 |
* If HEX2BIN requires more than places characters, it returns
|
|
|
1386 |
* the #NUM! error value.
|
|
|
1387 |
* @param integer $places The number of characters to use. If places is omitted,
|
|
|
1388 |
* HEX2BIN uses the minimum number of characters necessary. Places
|
|
|
1389 |
* is useful for padding the return value with leading 0s (zeros).
|
|
|
1390 |
* If places is not an integer, it is truncated.
|
|
|
1391 |
* If places is nonnumeric, HEX2BIN returns the #VALUE! error value.
|
|
|
1392 |
* If places is negative, HEX2BIN returns the #NUM! error value.
|
|
|
1393 |
* @return string
|
|
|
1394 |
*/
|
|
|
1395 |
public static function HEXTOBIN($x, $places=null) {
|
|
|
1396 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1397 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1398 |
|
|
|
1399 |
if (is_bool($x)) {
|
|
|
1400 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1401 |
}
|
|
|
1402 |
$x = (string) $x;
|
|
|
1403 |
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
|
|
|
1404 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1405 |
}
|
|
|
1406 |
$binVal = decbin(hexdec($x));
|
|
|
1407 |
|
|
|
1408 |
return substr(self::_nbrConversionFormat($binVal,$places),-10);
|
|
|
1409 |
} // function HEXTOBIN()
|
|
|
1410 |
|
|
|
1411 |
|
|
|
1412 |
/**
|
|
|
1413 |
* HEXTODEC
|
|
|
1414 |
*
|
|
|
1415 |
* Return a hex value as decimal.
|
|
|
1416 |
*
|
|
|
1417 |
* Excel Function:
|
|
|
1418 |
* HEX2DEC(x)
|
|
|
1419 |
*
|
|
|
1420 |
* @access public
|
|
|
1421 |
* @category Engineering Functions
|
|
|
1422 |
* @param string $x The hexadecimal number you want to convert. This number cannot
|
|
|
1423 |
* contain more than 10 characters (40 bits). The most significant
|
|
|
1424 |
* bit of number is the sign bit. The remaining 39 bits are magnitude
|
|
|
1425 |
* bits. Negative numbers are represented using two's-complement
|
|
|
1426 |
* notation.
|
|
|
1427 |
* If number is not a valid hexadecimal number, HEX2DEC returns the
|
|
|
1428 |
* #NUM! error value.
|
|
|
1429 |
* @return string
|
|
|
1430 |
*/
|
|
|
1431 |
public static function HEXTODEC($x) {
|
|
|
1432 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1433 |
|
|
|
1434 |
if (is_bool($x)) {
|
|
|
1435 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1436 |
}
|
|
|
1437 |
$x = (string) $x;
|
|
|
1438 |
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
|
|
|
1439 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1440 |
}
|
|
|
1441 |
return hexdec($x);
|
|
|
1442 |
} // function HEXTODEC()
|
|
|
1443 |
|
|
|
1444 |
|
|
|
1445 |
/**
|
|
|
1446 |
* HEXTOOCT
|
|
|
1447 |
*
|
|
|
1448 |
* Return a hex value as octal.
|
|
|
1449 |
*
|
|
|
1450 |
* Excel Function:
|
|
|
1451 |
* HEX2OCT(x[,places])
|
|
|
1452 |
*
|
|
|
1453 |
* @access public
|
|
|
1454 |
* @category Engineering Functions
|
|
|
1455 |
* @param string $x The hexadecimal number you want to convert. Number cannot
|
|
|
1456 |
* contain more than 10 characters. The most significant bit of
|
|
|
1457 |
* number is the sign bit. The remaining 39 bits are magnitude
|
|
|
1458 |
* bits. Negative numbers are represented using two's-complement
|
|
|
1459 |
* notation.
|
|
|
1460 |
* If number is negative, HEX2OCT ignores places and returns a
|
|
|
1461 |
* 10-character octal number.
|
|
|
1462 |
* If number is negative, it cannot be less than FFE0000000, and
|
|
|
1463 |
* if number is positive, it cannot be greater than 1FFFFFFF.
|
|
|
1464 |
* If number is not a valid hexadecimal number, HEX2OCT returns
|
|
|
1465 |
* the #NUM! error value.
|
|
|
1466 |
* If HEX2OCT requires more than places characters, it returns
|
|
|
1467 |
* the #NUM! error value.
|
|
|
1468 |
* @param integer $places The number of characters to use. If places is omitted, HEX2OCT
|
|
|
1469 |
* uses the minimum number of characters necessary. Places is
|
|
|
1470 |
* useful for padding the return value with leading 0s (zeros).
|
|
|
1471 |
* If places is not an integer, it is truncated.
|
|
|
1472 |
* If places is nonnumeric, HEX2OCT returns the #VALUE! error
|
|
|
1473 |
* value.
|
|
|
1474 |
* If places is negative, HEX2OCT returns the #NUM! error value.
|
|
|
1475 |
* @return string
|
|
|
1476 |
*/
|
|
|
1477 |
public static function HEXTOOCT($x, $places=null) {
|
|
|
1478 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1479 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1480 |
|
|
|
1481 |
if (is_bool($x)) {
|
|
|
1482 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1483 |
}
|
|
|
1484 |
$x = (string) $x;
|
|
|
1485 |
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
|
|
|
1486 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1487 |
}
|
|
|
1488 |
$octVal = decoct(hexdec($x));
|
|
|
1489 |
|
|
|
1490 |
return self::_nbrConversionFormat($octVal,$places);
|
|
|
1491 |
} // function HEXTOOCT()
|
|
|
1492 |
|
|
|
1493 |
|
|
|
1494 |
/**
|
|
|
1495 |
* OCTTOBIN
|
|
|
1496 |
*
|
|
|
1497 |
* Return an octal value as binary.
|
|
|
1498 |
*
|
|
|
1499 |
* Excel Function:
|
|
|
1500 |
* OCT2BIN(x[,places])
|
|
|
1501 |
*
|
|
|
1502 |
* @access public
|
|
|
1503 |
* @category Engineering Functions
|
|
|
1504 |
* @param string $x The octal number you want to convert. Number may not
|
|
|
1505 |
* contain more than 10 characters. The most significant
|
|
|
1506 |
* bit of number is the sign bit. The remaining 29 bits
|
|
|
1507 |
* are magnitude bits. Negative numbers are represented
|
|
|
1508 |
* using two's-complement notation.
|
|
|
1509 |
* If number is negative, OCT2BIN ignores places and returns
|
|
|
1510 |
* a 10-character binary number.
|
|
|
1511 |
* If number is negative, it cannot be less than 7777777000,
|
|
|
1512 |
* and if number is positive, it cannot be greater than 777.
|
|
|
1513 |
* If number is not a valid octal number, OCT2BIN returns
|
|
|
1514 |
* the #NUM! error value.
|
|
|
1515 |
* If OCT2BIN requires more than places characters, it
|
|
|
1516 |
* returns the #NUM! error value.
|
|
|
1517 |
* @param integer $places The number of characters to use. If places is omitted,
|
|
|
1518 |
* OCT2BIN uses the minimum number of characters necessary.
|
|
|
1519 |
* Places is useful for padding the return value with
|
|
|
1520 |
* leading 0s (zeros).
|
|
|
1521 |
* If places is not an integer, it is truncated.
|
|
|
1522 |
* If places is nonnumeric, OCT2BIN returns the #VALUE!
|
|
|
1523 |
* error value.
|
|
|
1524 |
* If places is negative, OCT2BIN returns the #NUM! error
|
|
|
1525 |
* value.
|
|
|
1526 |
* @return string
|
|
|
1527 |
*/
|
|
|
1528 |
public static function OCTTOBIN($x, $places=null) {
|
|
|
1529 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1530 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1531 |
|
|
|
1532 |
if (is_bool($x)) {
|
|
|
1533 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1534 |
}
|
|
|
1535 |
$x = (string) $x;
|
|
|
1536 |
if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
|
|
|
1537 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1538 |
}
|
|
|
1539 |
$r = decbin(octdec($x));
|
|
|
1540 |
|
|
|
1541 |
return self::_nbrConversionFormat($r,$places);
|
|
|
1542 |
} // function OCTTOBIN()
|
|
|
1543 |
|
|
|
1544 |
|
|
|
1545 |
/**
|
|
|
1546 |
* OCTTODEC
|
|
|
1547 |
*
|
|
|
1548 |
* Return an octal value as decimal.
|
|
|
1549 |
*
|
|
|
1550 |
* Excel Function:
|
|
|
1551 |
* OCT2DEC(x)
|
|
|
1552 |
*
|
|
|
1553 |
* @access public
|
|
|
1554 |
* @category Engineering Functions
|
|
|
1555 |
* @param string $x The octal number you want to convert. Number may not contain
|
|
|
1556 |
* more than 10 octal characters (30 bits). The most significant
|
|
|
1557 |
* bit of number is the sign bit. The remaining 29 bits are
|
|
|
1558 |
* magnitude bits. Negative numbers are represented using
|
|
|
1559 |
* two's-complement notation.
|
|
|
1560 |
* If number is not a valid octal number, OCT2DEC returns the
|
|
|
1561 |
* #NUM! error value.
|
|
|
1562 |
* @return string
|
|
|
1563 |
*/
|
|
|
1564 |
public static function OCTTODEC($x) {
|
|
|
1565 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1566 |
|
|
|
1567 |
if (is_bool($x)) {
|
|
|
1568 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1569 |
}
|
|
|
1570 |
$x = (string) $x;
|
|
|
1571 |
if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
|
|
|
1572 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1573 |
}
|
|
|
1574 |
return octdec($x);
|
|
|
1575 |
} // function OCTTODEC()
|
|
|
1576 |
|
|
|
1577 |
|
|
|
1578 |
/**
|
|
|
1579 |
* OCTTOHEX
|
|
|
1580 |
*
|
|
|
1581 |
* Return an octal value as hex.
|
|
|
1582 |
*
|
|
|
1583 |
* Excel Function:
|
|
|
1584 |
* OCT2HEX(x[,places])
|
|
|
1585 |
*
|
|
|
1586 |
* @access public
|
|
|
1587 |
* @category Engineering Functions
|
|
|
1588 |
* @param string $x The octal number you want to convert. Number may not contain
|
|
|
1589 |
* more than 10 octal characters (30 bits). The most significant
|
|
|
1590 |
* bit of number is the sign bit. The remaining 29 bits are
|
|
|
1591 |
* magnitude bits. Negative numbers are represented using
|
|
|
1592 |
* two's-complement notation.
|
|
|
1593 |
* If number is negative, OCT2HEX ignores places and returns a
|
|
|
1594 |
* 10-character hexadecimal number.
|
|
|
1595 |
* If number is not a valid octal number, OCT2HEX returns the
|
|
|
1596 |
* #NUM! error value.
|
|
|
1597 |
* If OCT2HEX requires more than places characters, it returns
|
|
|
1598 |
* the #NUM! error value.
|
|
|
1599 |
* @param integer $places The number of characters to use. If places is omitted, OCT2HEX
|
|
|
1600 |
* uses the minimum number of characters necessary. Places is useful
|
|
|
1601 |
* for padding the return value with leading 0s (zeros).
|
|
|
1602 |
* If places is not an integer, it is truncated.
|
|
|
1603 |
* If places is nonnumeric, OCT2HEX returns the #VALUE! error value.
|
|
|
1604 |
* If places is negative, OCT2HEX returns the #NUM! error value.
|
|
|
1605 |
* @return string
|
|
|
1606 |
*/
|
|
|
1607 |
public static function OCTTOHEX($x, $places=null) {
|
|
|
1608 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
1609 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places);
|
|
|
1610 |
|
|
|
1611 |
if (is_bool($x)) {
|
|
|
1612 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1613 |
}
|
|
|
1614 |
$x = (string) $x;
|
|
|
1615 |
if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
|
|
|
1616 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1617 |
}
|
|
|
1618 |
$hexVal = strtoupper(dechex(octdec($x)));
|
|
|
1619 |
|
|
|
1620 |
return self::_nbrConversionFormat($hexVal,$places);
|
|
|
1621 |
} // function OCTTOHEX()
|
|
|
1622 |
|
|
|
1623 |
|
|
|
1624 |
/**
|
|
|
1625 |
* COMPLEX
|
|
|
1626 |
*
|
|
|
1627 |
* Converts real and imaginary coefficients into a complex number of the form x + yi or x + yj.
|
|
|
1628 |
*
|
|
|
1629 |
* Excel Function:
|
|
|
1630 |
* COMPLEX(realNumber,imaginary[,places])
|
|
|
1631 |
*
|
|
|
1632 |
* @access public
|
|
|
1633 |
* @category Engineering Functions
|
|
|
1634 |
* @param float $realNumber The real coefficient of the complex number.
|
|
|
1635 |
* @param float $imaginary The imaginary coefficient of the complex number.
|
|
|
1636 |
* @param string $suffix The suffix for the imaginary component of the complex number.
|
|
|
1637 |
* If omitted, the suffix is assumed to be "i".
|
|
|
1638 |
* @return string
|
|
|
1639 |
*/
|
|
|
1640 |
public static function COMPLEX($realNumber=0.0, $imaginary=0.0, $suffix='i') {
|
|
|
1641 |
$realNumber = (is_null($realNumber)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
|
|
|
1642 |
$imaginary = (is_null($imaginary)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($imaginary);
|
|
|
1643 |
$suffix = (is_null($suffix)) ? 'i' : PHPExcel_Calculation_Functions::flattenSingleValue($suffix);
|
|
|
1644 |
|
|
|
1645 |
if (((is_numeric($realNumber)) && (is_numeric($imaginary))) &&
|
|
|
1646 |
(($suffix == 'i') || ($suffix == 'j') || ($suffix == ''))) {
|
|
|
1647 |
$realNumber = (float) $realNumber;
|
|
|
1648 |
$imaginary = (float) $imaginary;
|
|
|
1649 |
|
|
|
1650 |
if ($suffix == '') $suffix = 'i';
|
|
|
1651 |
if ($realNumber == 0.0) {
|
|
|
1652 |
if ($imaginary == 0.0) {
|
|
|
1653 |
return (string) '0';
|
|
|
1654 |
} elseif ($imaginary == 1.0) {
|
|
|
1655 |
return (string) $suffix;
|
|
|
1656 |
} elseif ($imaginary == -1.0) {
|
|
|
1657 |
return (string) '-'.$suffix;
|
|
|
1658 |
}
|
|
|
1659 |
return (string) $imaginary.$suffix;
|
|
|
1660 |
} elseif ($imaginary == 0.0) {
|
|
|
1661 |
return (string) $realNumber;
|
|
|
1662 |
} elseif ($imaginary == 1.0) {
|
|
|
1663 |
return (string) $realNumber.'+'.$suffix;
|
|
|
1664 |
} elseif ($imaginary == -1.0) {
|
|
|
1665 |
return (string) $realNumber.'-'.$suffix;
|
|
|
1666 |
}
|
|
|
1667 |
if ($imaginary > 0) { $imaginary = (string) '+'.$imaginary; }
|
|
|
1668 |
return (string) $realNumber.$imaginary.$suffix;
|
|
|
1669 |
}
|
|
|
1670 |
|
|
|
1671 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
1672 |
} // function COMPLEX()
|
|
|
1673 |
|
|
|
1674 |
|
|
|
1675 |
/**
|
|
|
1676 |
* IMAGINARY
|
|
|
1677 |
*
|
|
|
1678 |
* Returns the imaginary coefficient of a complex number in x + yi or x + yj text format.
|
|
|
1679 |
*
|
|
|
1680 |
* Excel Function:
|
|
|
1681 |
* IMAGINARY(complexNumber)
|
|
|
1682 |
*
|
|
|
1683 |
* @access public
|
|
|
1684 |
* @category Engineering Functions
|
|
|
1685 |
* @param string $complexNumber The complex number for which you want the imaginary
|
|
|
1686 |
* coefficient.
|
|
|
1687 |
* @return float
|
|
|
1688 |
*/
|
|
|
1689 |
public static function IMAGINARY($complexNumber) {
|
|
|
1690 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1691 |
|
|
|
1692 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1693 |
return $parsedComplex['imaginary'];
|
|
|
1694 |
} // function IMAGINARY()
|
|
|
1695 |
|
|
|
1696 |
|
|
|
1697 |
/**
|
|
|
1698 |
* IMREAL
|
|
|
1699 |
*
|
|
|
1700 |
* Returns the real coefficient of a complex number in x + yi or x + yj text format.
|
|
|
1701 |
*
|
|
|
1702 |
* Excel Function:
|
|
|
1703 |
* IMREAL(complexNumber)
|
|
|
1704 |
*
|
|
|
1705 |
* @access public
|
|
|
1706 |
* @category Engineering Functions
|
|
|
1707 |
* @param string $complexNumber The complex number for which you want the real coefficient.
|
|
|
1708 |
* @return float
|
|
|
1709 |
*/
|
|
|
1710 |
public static function IMREAL($complexNumber) {
|
|
|
1711 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1712 |
|
|
|
1713 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1714 |
return $parsedComplex['real'];
|
|
|
1715 |
} // function IMREAL()
|
|
|
1716 |
|
|
|
1717 |
|
|
|
1718 |
/**
|
|
|
1719 |
* IMABS
|
|
|
1720 |
*
|
|
|
1721 |
* Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format.
|
|
|
1722 |
*
|
|
|
1723 |
* Excel Function:
|
|
|
1724 |
* IMABS(complexNumber)
|
|
|
1725 |
*
|
|
|
1726 |
* @param string $complexNumber The complex number for which you want the absolute value.
|
|
|
1727 |
* @return float
|
|
|
1728 |
*/
|
|
|
1729 |
public static function IMABS($complexNumber) {
|
|
|
1730 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1731 |
|
|
|
1732 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1733 |
|
|
|
1734 |
return sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']));
|
|
|
1735 |
} // function IMABS()
|
|
|
1736 |
|
|
|
1737 |
|
|
|
1738 |
/**
|
|
|
1739 |
* IMARGUMENT
|
|
|
1740 |
*
|
|
|
1741 |
* Returns the argument theta of a complex number, i.e. the angle in radians from the real
|
|
|
1742 |
* axis to the representation of the number in polar coordinates.
|
|
|
1743 |
*
|
|
|
1744 |
* Excel Function:
|
|
|
1745 |
* IMARGUMENT(complexNumber)
|
|
|
1746 |
*
|
|
|
1747 |
* @param string $complexNumber The complex number for which you want the argument theta.
|
|
|
1748 |
* @return float
|
|
|
1749 |
*/
|
|
|
1750 |
public static function IMARGUMENT($complexNumber) {
|
|
|
1751 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1752 |
|
|
|
1753 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1754 |
|
|
|
1755 |
if ($parsedComplex['real'] == 0.0) {
|
|
|
1756 |
if ($parsedComplex['imaginary'] == 0.0) {
|
|
|
1757 |
return 0.0;
|
|
|
1758 |
} elseif($parsedComplex['imaginary'] < 0.0) {
|
|
|
1759 |
return M_PI / -2;
|
|
|
1760 |
} else {
|
|
|
1761 |
return M_PI / 2;
|
|
|
1762 |
}
|
|
|
1763 |
} elseif ($parsedComplex['real'] > 0.0) {
|
|
|
1764 |
return atan($parsedComplex['imaginary'] / $parsedComplex['real']);
|
|
|
1765 |
} elseif ($parsedComplex['imaginary'] < 0.0) {
|
|
|
1766 |
return 0 - (M_PI - atan(abs($parsedComplex['imaginary']) / abs($parsedComplex['real'])));
|
|
|
1767 |
} else {
|
|
|
1768 |
return M_PI - atan($parsedComplex['imaginary'] / abs($parsedComplex['real']));
|
|
|
1769 |
}
|
|
|
1770 |
} // function IMARGUMENT()
|
|
|
1771 |
|
|
|
1772 |
|
|
|
1773 |
/**
|
|
|
1774 |
* IMCONJUGATE
|
|
|
1775 |
*
|
|
|
1776 |
* Returns the complex conjugate of a complex number in x + yi or x + yj text format.
|
|
|
1777 |
*
|
|
|
1778 |
* Excel Function:
|
|
|
1779 |
* IMCONJUGATE(complexNumber)
|
|
|
1780 |
*
|
|
|
1781 |
* @param string $complexNumber The complex number for which you want the conjugate.
|
|
|
1782 |
* @return string
|
|
|
1783 |
*/
|
|
|
1784 |
public static function IMCONJUGATE($complexNumber) {
|
|
|
1785 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1786 |
|
|
|
1787 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1788 |
|
|
|
1789 |
if ($parsedComplex['imaginary'] == 0.0) {
|
|
|
1790 |
return $parsedComplex['real'];
|
|
|
1791 |
} else {
|
|
|
1792 |
return self::_cleanComplex( self::COMPLEX( $parsedComplex['real'],
|
|
|
1793 |
|
|
|
1794 |
$parsedComplex['suffix']
|
|
|
1795 |
)
|
|
|
1796 |
);
|
|
|
1797 |
}
|
|
|
1798 |
} // function IMCONJUGATE()
|
|
|
1799 |
|
|
|
1800 |
|
|
|
1801 |
/**
|
|
|
1802 |
* IMCOS
|
|
|
1803 |
*
|
|
|
1804 |
* Returns the cosine of a complex number in x + yi or x + yj text format.
|
|
|
1805 |
*
|
|
|
1806 |
* Excel Function:
|
|
|
1807 |
* IMCOS(complexNumber)
|
|
|
1808 |
*
|
|
|
1809 |
* @param string $complexNumber The complex number for which you want the cosine.
|
|
|
1810 |
* @return string|float
|
|
|
1811 |
*/
|
|
|
1812 |
public static function IMCOS($complexNumber) {
|
|
|
1813 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1814 |
|
|
|
1815 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1816 |
|
|
|
1817 |
if ($parsedComplex['imaginary'] == 0.0) {
|
|
|
1818 |
return cos($parsedComplex['real']);
|
|
|
1819 |
} else {
|
|
|
1820 |
return self::IMCONJUGATE(self::COMPLEX(cos($parsedComplex['real']) * cosh($parsedComplex['imaginary']),sin($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix']));
|
|
|
1821 |
}
|
|
|
1822 |
} // function IMCOS()
|
|
|
1823 |
|
|
|
1824 |
|
|
|
1825 |
/**
|
|
|
1826 |
* IMSIN
|
|
|
1827 |
*
|
|
|
1828 |
* Returns the sine of a complex number in x + yi or x + yj text format.
|
|
|
1829 |
*
|
|
|
1830 |
* Excel Function:
|
|
|
1831 |
* IMSIN(complexNumber)
|
|
|
1832 |
*
|
|
|
1833 |
* @param string $complexNumber The complex number for which you want the sine.
|
|
|
1834 |
* @return string|float
|
|
|
1835 |
*/
|
|
|
1836 |
public static function IMSIN($complexNumber) {
|
|
|
1837 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1838 |
|
|
|
1839 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1840 |
|
|
|
1841 |
if ($parsedComplex['imaginary'] == 0.0) {
|
|
|
1842 |
return sin($parsedComplex['real']);
|
|
|
1843 |
} else {
|
|
|
1844 |
return self::COMPLEX(sin($parsedComplex['real']) * cosh($parsedComplex['imaginary']),cos($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix']);
|
|
|
1845 |
}
|
|
|
1846 |
} // function IMSIN()
|
|
|
1847 |
|
|
|
1848 |
|
|
|
1849 |
/**
|
|
|
1850 |
* IMSQRT
|
|
|
1851 |
*
|
|
|
1852 |
* Returns the square root of a complex number in x + yi or x + yj text format.
|
|
|
1853 |
*
|
|
|
1854 |
* Excel Function:
|
|
|
1855 |
* IMSQRT(complexNumber)
|
|
|
1856 |
*
|
|
|
1857 |
* @param string $complexNumber The complex number for which you want the square root.
|
|
|
1858 |
* @return string
|
|
|
1859 |
*/
|
|
|
1860 |
public static function IMSQRT($complexNumber) {
|
|
|
1861 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1862 |
|
|
|
1863 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1864 |
|
|
|
1865 |
$theta = self::IMARGUMENT($complexNumber);
|
|
|
1866 |
$d1 = cos($theta / 2);
|
|
|
1867 |
$d2 = sin($theta / 2);
|
|
|
1868 |
$r = sqrt(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])));
|
|
|
1869 |
|
|
|
1870 |
if ($parsedComplex['suffix'] == '') {
|
|
|
1871 |
return self::COMPLEX($d1 * $r,$d2 * $r);
|
|
|
1872 |
} else {
|
|
|
1873 |
return self::COMPLEX($d1 * $r,$d2 * $r,$parsedComplex['suffix']);
|
|
|
1874 |
}
|
|
|
1875 |
} // function IMSQRT()
|
|
|
1876 |
|
|
|
1877 |
|
|
|
1878 |
/**
|
|
|
1879 |
* IMLN
|
|
|
1880 |
*
|
|
|
1881 |
* Returns the natural logarithm of a complex number in x + yi or x + yj text format.
|
|
|
1882 |
*
|
|
|
1883 |
* Excel Function:
|
|
|
1884 |
* IMLN(complexNumber)
|
|
|
1885 |
*
|
|
|
1886 |
* @param string $complexNumber The complex number for which you want the natural logarithm.
|
|
|
1887 |
* @return string
|
|
|
1888 |
*/
|
|
|
1889 |
public static function IMLN($complexNumber) {
|
|
|
1890 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1891 |
|
|
|
1892 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1893 |
|
|
|
1894 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
|
|
|
1895 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1896 |
}
|
|
|
1897 |
|
|
|
1898 |
$logR = log(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])));
|
|
|
1899 |
$t = self::IMARGUMENT($complexNumber);
|
|
|
1900 |
|
|
|
1901 |
if ($parsedComplex['suffix'] == '') {
|
|
|
1902 |
return self::COMPLEX($logR,$t);
|
|
|
1903 |
} else {
|
|
|
1904 |
return self::COMPLEX($logR,$t,$parsedComplex['suffix']);
|
|
|
1905 |
}
|
|
|
1906 |
} // function IMLN()
|
|
|
1907 |
|
|
|
1908 |
|
|
|
1909 |
/**
|
|
|
1910 |
* IMLOG10
|
|
|
1911 |
*
|
|
|
1912 |
* Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format.
|
|
|
1913 |
*
|
|
|
1914 |
* Excel Function:
|
|
|
1915 |
* IMLOG10(complexNumber)
|
|
|
1916 |
*
|
|
|
1917 |
* @param string $complexNumber The complex number for which you want the common logarithm.
|
|
|
1918 |
* @return string
|
|
|
1919 |
*/
|
|
|
1920 |
public static function IMLOG10($complexNumber) {
|
|
|
1921 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1922 |
|
|
|
1923 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1924 |
|
|
|
1925 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
|
|
|
1926 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1927 |
} elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
|
|
|
1928 |
return log10($parsedComplex['real']);
|
|
|
1929 |
}
|
|
|
1930 |
|
|
|
1931 |
return self::IMPRODUCT(log10(EULER),self::IMLN($complexNumber));
|
|
|
1932 |
} // function IMLOG10()
|
|
|
1933 |
|
|
|
1934 |
|
|
|
1935 |
/**
|
|
|
1936 |
* IMLOG2
|
|
|
1937 |
*
|
|
|
1938 |
* Returns the base-2 logarithm of a complex number in x + yi or x + yj text format.
|
|
|
1939 |
*
|
|
|
1940 |
* Excel Function:
|
|
|
1941 |
* IMLOG2(complexNumber)
|
|
|
1942 |
*
|
|
|
1943 |
* @param string $complexNumber The complex number for which you want the base-2 logarithm.
|
|
|
1944 |
* @return string
|
|
|
1945 |
*/
|
|
|
1946 |
public static function IMLOG2($complexNumber) {
|
|
|
1947 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1948 |
|
|
|
1949 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1950 |
|
|
|
1951 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
|
|
|
1952 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
1953 |
} elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
|
|
|
1954 |
return log($parsedComplex['real'],2);
|
|
|
1955 |
}
|
|
|
1956 |
|
|
|
1957 |
return self::IMPRODUCT(log(EULER,2),self::IMLN($complexNumber));
|
|
|
1958 |
} // function IMLOG2()
|
|
|
1959 |
|
|
|
1960 |
|
|
|
1961 |
/**
|
|
|
1962 |
* IMEXP
|
|
|
1963 |
*
|
|
|
1964 |
* Returns the exponential of a complex number in x + yi or x + yj text format.
|
|
|
1965 |
*
|
|
|
1966 |
* Excel Function:
|
|
|
1967 |
* IMEXP(complexNumber)
|
|
|
1968 |
*
|
|
|
1969 |
* @param string $complexNumber The complex number for which you want the exponential.
|
|
|
1970 |
* @return string
|
|
|
1971 |
*/
|
|
|
1972 |
public static function IMEXP($complexNumber) {
|
|
|
1973 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
1974 |
|
|
|
1975 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
1976 |
|
|
|
1977 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
|
|
|
1978 |
return '1';
|
|
|
1979 |
}
|
|
|
1980 |
|
|
|
1981 |
$e = exp($parsedComplex['real']);
|
|
|
1982 |
$eX = $e * cos($parsedComplex['imaginary']);
|
|
|
1983 |
$eY = $e * sin($parsedComplex['imaginary']);
|
|
|
1984 |
|
|
|
1985 |
if ($parsedComplex['suffix'] == '') {
|
|
|
1986 |
return self::COMPLEX($eX,$eY);
|
|
|
1987 |
} else {
|
|
|
1988 |
return self::COMPLEX($eX,$eY,$parsedComplex['suffix']);
|
|
|
1989 |
}
|
|
|
1990 |
} // function IMEXP()
|
|
|
1991 |
|
|
|
1992 |
|
|
|
1993 |
/**
|
|
|
1994 |
* IMPOWER
|
|
|
1995 |
*
|
|
|
1996 |
* Returns a complex number in x + yi or x + yj text format raised to a power.
|
|
|
1997 |
*
|
|
|
1998 |
* Excel Function:
|
|
|
1999 |
* IMPOWER(complexNumber,realNumber)
|
|
|
2000 |
*
|
|
|
2001 |
* @param string $complexNumber The complex number you want to raise to a power.
|
|
|
2002 |
* @param float $realNumber The power to which you want to raise the complex number.
|
|
|
2003 |
* @return string
|
|
|
2004 |
*/
|
|
|
2005 |
public static function IMPOWER($complexNumber,$realNumber) {
|
|
|
2006 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
|
|
|
2007 |
$realNumber = PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
|
|
|
2008 |
|
|
|
2009 |
if (!is_numeric($realNumber)) {
|
|
|
2010 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
2011 |
}
|
|
|
2012 |
|
|
|
2013 |
$parsedComplex = self::_parseComplex($complexNumber);
|
|
|
2014 |
|
|
|
2015 |
$r = sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']));
|
|
|
2016 |
$rPower = pow($r,$realNumber);
|
|
|
2017 |
$theta = self::IMARGUMENT($complexNumber) * $realNumber;
|
|
|
2018 |
if ($theta == 0) {
|
|
|
2019 |
return 1;
|
|
|
2020 |
} elseif ($parsedComplex['imaginary'] == 0.0) {
|
|
|
2021 |
return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']);
|
|
|
2022 |
} else {
|
|
|
2023 |
return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']);
|
|
|
2024 |
}
|
|
|
2025 |
} // function IMPOWER()
|
|
|
2026 |
|
|
|
2027 |
|
|
|
2028 |
/**
|
|
|
2029 |
* IMDIV
|
|
|
2030 |
*
|
|
|
2031 |
* Returns the quotient of two complex numbers in x + yi or x + yj text format.
|
|
|
2032 |
*
|
|
|
2033 |
* Excel Function:
|
|
|
2034 |
* IMDIV(complexDividend,complexDivisor)
|
|
|
2035 |
*
|
|
|
2036 |
* @param string $complexDividend The complex numerator or dividend.
|
|
|
2037 |
* @param string $complexDivisor The complex denominator or divisor.
|
|
|
2038 |
* @return string
|
|
|
2039 |
*/
|
|
|
2040 |
public static function IMDIV($complexDividend,$complexDivisor) {
|
|
|
2041 |
$complexDividend = PHPExcel_Calculation_Functions::flattenSingleValue($complexDividend);
|
|
|
2042 |
$complexDivisor = PHPExcel_Calculation_Functions::flattenSingleValue($complexDivisor);
|
|
|
2043 |
|
|
|
2044 |
$parsedComplexDividend = self::_parseComplex($complexDividend);
|
|
|
2045 |
$parsedComplexDivisor = self::_parseComplex($complexDivisor);
|
|
|
2046 |
|
|
|
2047 |
if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] != '') &&
|
|
|
2048 |
($parsedComplexDividend['suffix'] != $parsedComplexDivisor['suffix'])) {
|
|
|
2049 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
2050 |
}
|
|
|
2051 |
if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] == '')) {
|
|
|
2052 |
$parsedComplexDivisor['suffix'] = $parsedComplexDividend['suffix'];
|
|
|
2053 |
}
|
|
|
2054 |
|
|
|
2055 |
$d1 = ($parsedComplexDividend['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['imaginary']);
|
|
|
2056 |
$d2 = ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['real']) - ($parsedComplexDividend['real'] * $parsedComplexDivisor['imaginary']);
|
|
|
2057 |
$d3 = ($parsedComplexDivisor['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDivisor['imaginary'] * $parsedComplexDivisor['imaginary']);
|
|
|
2058 |
|
|
|
2059 |
$r = $d1/$d3;
|
|
|
2060 |
$i = $d2/$d3;
|
|
|
2061 |
|
|
|
2062 |
if ($i > 0.0) {
|
|
|
2063 |
return self::_cleanComplex($r.'+'.$i.$parsedComplexDivisor['suffix']);
|
|
|
2064 |
} elseif ($i < 0.0) {
|
|
|
2065 |
return self::_cleanComplex($r.$i.$parsedComplexDivisor['suffix']);
|
|
|
2066 |
} else {
|
|
|
2067 |
return $r;
|
|
|
2068 |
}
|
|
|
2069 |
} // function IMDIV()
|
|
|
2070 |
|
|
|
2071 |
|
|
|
2072 |
/**
|
|
|
2073 |
* IMSUB
|
|
|
2074 |
*
|
|
|
2075 |
* Returns the difference of two complex numbers in x + yi or x + yj text format.
|
|
|
2076 |
*
|
|
|
2077 |
* Excel Function:
|
|
|
2078 |
* IMSUB(complexNumber1,complexNumber2)
|
|
|
2079 |
*
|
|
|
2080 |
* @param string $complexNumber1 The complex number from which to subtract complexNumber2.
|
|
|
2081 |
* @param string $complexNumber2 The complex number to subtract from complexNumber1.
|
|
|
2082 |
* @return string
|
|
|
2083 |
*/
|
|
|
2084 |
public static function IMSUB($complexNumber1,$complexNumber2) {
|
|
|
2085 |
$complexNumber1 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber1);
|
|
|
2086 |
$complexNumber2 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber2);
|
|
|
2087 |
|
|
|
2088 |
$parsedComplex1 = self::_parseComplex($complexNumber1);
|
|
|
2089 |
$parsedComplex2 = self::_parseComplex($complexNumber2);
|
|
|
2090 |
|
|
|
2091 |
if ((($parsedComplex1['suffix'] != '') && ($parsedComplex2['suffix'] != '')) &&
|
|
|
2092 |
($parsedComplex1['suffix'] != $parsedComplex2['suffix'])) {
|
|
|
2093 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
2094 |
} elseif (($parsedComplex1['suffix'] == '') && ($parsedComplex2['suffix'] != '')) {
|
|
|
2095 |
$parsedComplex1['suffix'] = $parsedComplex2['suffix'];
|
|
|
2096 |
}
|
|
|
2097 |
|
|
|
2098 |
$d1 = $parsedComplex1['real'] - $parsedComplex2['real'];
|
|
|
2099 |
$d2 = $parsedComplex1['imaginary'] - $parsedComplex2['imaginary'];
|
|
|
2100 |
|
|
|
2101 |
return self::COMPLEX($d1,$d2,$parsedComplex1['suffix']);
|
|
|
2102 |
} // function IMSUB()
|
|
|
2103 |
|
|
|
2104 |
|
|
|
2105 |
/**
|
|
|
2106 |
* IMSUM
|
|
|
2107 |
*
|
|
|
2108 |
* Returns the sum of two or more complex numbers in x + yi or x + yj text format.
|
|
|
2109 |
*
|
|
|
2110 |
* Excel Function:
|
|
|
2111 |
* IMSUM(complexNumber[,complexNumber[,...]])
|
|
|
2112 |
*
|
|
|
2113 |
* @param string $complexNumber,... Series of complex numbers to add
|
|
|
2114 |
* @return string
|
|
|
2115 |
*/
|
|
|
2116 |
public static function IMSUM() {
|
|
|
2117 |
// Return value
|
|
|
2118 |
$returnValue = self::_parseComplex('0');
|
|
|
2119 |
$activeSuffix = '';
|
|
|
2120 |
|
|
|
2121 |
// Loop through the arguments
|
|
|
2122 |
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
|
|
|
2123 |
foreach ($aArgs as $arg) {
|
|
|
2124 |
$parsedComplex = self::_parseComplex($arg);
|
|
|
2125 |
|
|
|
2126 |
if ($activeSuffix == '') {
|
|
|
2127 |
$activeSuffix = $parsedComplex['suffix'];
|
|
|
2128 |
} elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) {
|
|
|
2129 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
2130 |
}
|
|
|
2131 |
|
|
|
2132 |
$returnValue['real'] += $parsedComplex['real'];
|
|
|
2133 |
$returnValue['imaginary'] += $parsedComplex['imaginary'];
|
|
|
2134 |
}
|
|
|
2135 |
|
|
|
2136 |
if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; }
|
|
|
2137 |
return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix);
|
|
|
2138 |
} // function IMSUM()
|
|
|
2139 |
|
|
|
2140 |
|
|
|
2141 |
/**
|
|
|
2142 |
* IMPRODUCT
|
|
|
2143 |
*
|
|
|
2144 |
* Returns the product of two or more complex numbers in x + yi or x + yj text format.
|
|
|
2145 |
*
|
|
|
2146 |
* Excel Function:
|
|
|
2147 |
* IMPRODUCT(complexNumber[,complexNumber[,...]])
|
|
|
2148 |
*
|
|
|
2149 |
* @param string $complexNumber,... Series of complex numbers to multiply
|
|
|
2150 |
* @return string
|
|
|
2151 |
*/
|
|
|
2152 |
public static function IMPRODUCT() {
|
|
|
2153 |
// Return value
|
|
|
2154 |
$returnValue = self::_parseComplex('1');
|
|
|
2155 |
$activeSuffix = '';
|
|
|
2156 |
|
|
|
2157 |
// Loop through the arguments
|
|
|
2158 |
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
|
|
|
2159 |
foreach ($aArgs as $arg) {
|
|
|
2160 |
$parsedComplex = self::_parseComplex($arg);
|
|
|
2161 |
|
|
|
2162 |
$workValue = $returnValue;
|
|
|
2163 |
if (($parsedComplex['suffix'] != '') && ($activeSuffix == '')) {
|
|
|
2164 |
$activeSuffix = $parsedComplex['suffix'];
|
|
|
2165 |
} elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) {
|
|
|
2166 |
return PHPExcel_Calculation_Functions::NaN();
|
|
|
2167 |
}
|
|
|
2168 |
$returnValue['real'] = ($workValue['real'] * $parsedComplex['real']) - ($workValue['imaginary'] * $parsedComplex['imaginary']);
|
|
|
2169 |
$returnValue['imaginary'] = ($workValue['real'] * $parsedComplex['imaginary']) + ($workValue['imaginary'] * $parsedComplex['real']);
|
|
|
2170 |
}
|
|
|
2171 |
|
|
|
2172 |
if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; }
|
|
|
2173 |
return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix);
|
|
|
2174 |
} // function IMPRODUCT()
|
|
|
2175 |
|
|
|
2176 |
|
|
|
2177 |
/**
|
|
|
2178 |
* DELTA
|
|
|
2179 |
*
|
|
|
2180 |
* Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise.
|
|
|
2181 |
* Use this function to filter a set of values. For example, by summing several DELTA
|
|
|
2182 |
* functions you calculate the count of equal pairs. This function is also known as the
|
|
|
2183 |
* Kronecker Delta function.
|
|
|
2184 |
*
|
|
|
2185 |
* Excel Function:
|
|
|
2186 |
* DELTA(a[,b])
|
|
|
2187 |
*
|
|
|
2188 |
* @param float $a The first number.
|
|
|
2189 |
* @param float $b The second number. If omitted, b is assumed to be zero.
|
|
|
2190 |
* @return int
|
|
|
2191 |
*/
|
|
|
2192 |
public static function DELTA($a, $b=0) {
|
|
|
2193 |
$a = PHPExcel_Calculation_Functions::flattenSingleValue($a);
|
|
|
2194 |
$b = PHPExcel_Calculation_Functions::flattenSingleValue($b);
|
|
|
2195 |
|
|
|
2196 |
return (int) ($a == $b);
|
|
|
2197 |
} // function DELTA()
|
|
|
2198 |
|
|
|
2199 |
|
|
|
2200 |
/**
|
|
|
2201 |
* GESTEP
|
|
|
2202 |
*
|
|
|
2203 |
* Excel Function:
|
|
|
2204 |
* GESTEP(number[,step])
|
|
|
2205 |
*
|
|
|
2206 |
* Returns 1 if number >= step; returns 0 (zero) otherwise
|
|
|
2207 |
* Use this function to filter a set of values. For example, by summing several GESTEP
|
|
|
2208 |
* functions you calculate the count of values that exceed a threshold.
|
|
|
2209 |
*
|
|
|
2210 |
* @param float $number The value to test against step.
|
|
|
2211 |
* @param float $step The threshold value.
|
|
|
2212 |
* If you omit a value for step, GESTEP uses zero.
|
|
|
2213 |
* @return int
|
|
|
2214 |
*/
|
|
|
2215 |
public static function GESTEP($number, $step=0) {
|
|
|
2216 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number);
|
|
|
2217 |
$step = PHPExcel_Calculation_Functions::flattenSingleValue($step);
|
|
|
2218 |
|
|
|
2219 |
return (int) ($number >= $step);
|
|
|
2220 |
} // function GESTEP()
|
|
|
2221 |
|
|
|
2222 |
|
|
|
2223 |
//
|
|
|
2224 |
// Private method to calculate the erf value
|
|
|
2225 |
//
|
|
|
2226 |
private static $_two_sqrtpi = 1.128379167095512574;
|
|
|
2227 |
|
|
|
2228 |
public static function _erfVal($x) {
|
|
|
2229 |
if (abs($x) > 2.2) {
|
|
|
2230 |
return 1 - self::_erfcVal($x);
|
|
|
2231 |
}
|
|
|
2232 |
$sum = $term = $x;
|
|
|
2233 |
$xsqr = ($x * $x);
|
|
|
2234 |
$j = 1;
|
|
|
2235 |
do {
|
|
|
2236 |
$term *= $xsqr / $j;
|
|
|
2237 |
$sum -= $term / (2 * $j + 1);
|
|
|
2238 |
++$j;
|
|
|
2239 |
$term *= $xsqr / $j;
|
|
|
2240 |
$sum += $term / (2 * $j + 1);
|
|
|
2241 |
++$j;
|
|
|
2242 |
if ($sum == 0.0) {
|
|
|
2243 |
break;
|
|
|
2244 |
}
|
|
|
2245 |
} while (abs($term / $sum) > PRECISION);
|
|
|
2246 |
return self::$_two_sqrtpi * $sum;
|
|
|
2247 |
} // function _erfVal()
|
|
|
2248 |
|
|
|
2249 |
|
|
|
2250 |
/**
|
|
|
2251 |
* ERF
|
|
|
2252 |
*
|
|
|
2253 |
* Returns the error function integrated between the lower and upper bound arguments.
|
|
|
2254 |
*
|
|
|
2255 |
* Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments,
|
|
|
2256 |
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
|
|
|
2257 |
* improved, so that it can now calculate the function for both positive and negative ranges.
|
|
|
2258 |
* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.
|
|
|
2259 |
*
|
|
|
2260 |
* Excel Function:
|
|
|
2261 |
* ERF(lower[,upper])
|
|
|
2262 |
*
|
|
|
2263 |
* @param float $lower lower bound for integrating ERF
|
|
|
2264 |
* @param float $upper upper bound for integrating ERF.
|
|
|
2265 |
* If omitted, ERF integrates between zero and lower_limit
|
|
|
2266 |
* @return float
|
|
|
2267 |
*/
|
|
|
2268 |
public static function ERF($lower, $upper = NULL) {
|
|
|
2269 |
$lower = PHPExcel_Calculation_Functions::flattenSingleValue($lower);
|
|
|
2270 |
$upper = PHPExcel_Calculation_Functions::flattenSingleValue($upper);
|
|
|
2271 |
|
|
|
2272 |
if (is_numeric($lower)) {
|
|
|
2273 |
if (is_null($upper)) {
|
|
|
2274 |
return self::_erfVal($lower);
|
|
|
2275 |
}
|
|
|
2276 |
if (is_numeric($upper)) {
|
|
|
2277 |
return self::_erfVal($upper) - self::_erfVal($lower);
|
|
|
2278 |
}
|
|
|
2279 |
}
|
|
|
2280 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
2281 |
} // function ERF()
|
|
|
2282 |
|
|
|
2283 |
|
|
|
2284 |
//
|
|
|
2285 |
// Private method to calculate the erfc value
|
|
|
2286 |
//
|
|
|
2287 |
private static $_one_sqrtpi = 0.564189583547756287;
|
|
|
2288 |
|
|
|
2289 |
private static function _erfcVal($x) {
|
|
|
2290 |
if (abs($x) < 2.2) {
|
|
|
2291 |
return 1 - self::_erfVal($x);
|
|
|
2292 |
}
|
|
|
2293 |
if ($x < 0) {
|
|
|
2294 |
return 2 - self::ERFC(-$x);
|
|
|
2295 |
}
|
|
|
2296 |
$a = $n = 1;
|
|
|
2297 |
$b = $c = $x;
|
|
|
2298 |
$d = ($x * $x) + 0.5;
|
|
|
2299 |
$q1 = $q2 = $b / $d;
|
|
|
2300 |
$t = 0;
|
|
|
2301 |
do {
|
|
|
2302 |
$t = $a * $n + $b * $x;
|
|
|
2303 |
$a = $b;
|
|
|
2304 |
$b = $t;
|
|
|
2305 |
$t = $c * $n + $d * $x;
|
|
|
2306 |
$c = $d;
|
|
|
2307 |
$d = $t;
|
|
|
2308 |
$n += 0.5;
|
|
|
2309 |
$q1 = $q2;
|
|
|
2310 |
$q2 = $b / $d;
|
|
|
2311 |
} while ((abs($q1 - $q2) / $q2) > PRECISION);
|
|
|
2312 |
return self::$_one_sqrtpi * exp(-$x * $x) * $q2;
|
|
|
2313 |
} // function _erfcVal()
|
|
|
2314 |
|
|
|
2315 |
|
|
|
2316 |
/**
|
|
|
2317 |
* ERFC
|
|
|
2318 |
*
|
|
|
2319 |
* Returns the complementary ERF function integrated between x and infinity
|
|
|
2320 |
*
|
|
|
2321 |
* Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument,
|
|
|
2322 |
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
|
|
|
2323 |
* improved, so that it can now calculate the function for both positive and negative x values.
|
|
|
2324 |
* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.
|
|
|
2325 |
*
|
|
|
2326 |
* Excel Function:
|
|
|
2327 |
* ERFC(x)
|
|
|
2328 |
*
|
|
|
2329 |
* @param float $x The lower bound for integrating ERFC
|
|
|
2330 |
* @return float
|
|
|
2331 |
*/
|
|
|
2332 |
public static function ERFC($x) {
|
|
|
2333 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
|
|
|
2334 |
|
|
|
2335 |
if (is_numeric($x)) {
|
|
|
2336 |
return self::_erfcVal($x);
|
|
|
2337 |
}
|
|
|
2338 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
2339 |
} // function ERFC()
|
|
|
2340 |
|
|
|
2341 |
|
|
|
2342 |
/**
|
|
|
2343 |
* getConversionGroups
|
|
|
2344 |
* Returns a list of the different conversion groups for UOM conversions
|
|
|
2345 |
*
|
|
|
2346 |
* @return array
|
|
|
2347 |
*/
|
|
|
2348 |
public static function getConversionGroups() {
|
|
|
2349 |
$conversionGroups = array();
|
|
|
2350 |
foreach(self::$_conversionUnits as $conversionUnit) {
|
|
|
2351 |
$conversionGroups[] = $conversionUnit['Group'];
|
|
|
2352 |
}
|
|
|
2353 |
return array_merge(array_unique($conversionGroups));
|
|
|
2354 |
} // function getConversionGroups()
|
|
|
2355 |
|
|
|
2356 |
|
|
|
2357 |
/**
|
|
|
2358 |
* getConversionGroupUnits
|
|
|
2359 |
* Returns an array of units of measure, for a specified conversion group, or for all groups
|
|
|
2360 |
*
|
|
|
2361 |
* @param string $group The group whose units of measure you want to retrieve
|
|
|
2362 |
* @return array
|
|
|
2363 |
*/
|
|
|
2364 |
public static function getConversionGroupUnits($group = NULL) {
|
|
|
2365 |
$conversionGroups = array();
|
|
|
2366 |
foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) {
|
|
|
2367 |
if ((is_null($group)) || ($conversionGroup['Group'] == $group)) {
|
|
|
2368 |
$conversionGroups[$conversionGroup['Group']][] = $conversionUnit;
|
|
|
2369 |
}
|
|
|
2370 |
}
|
|
|
2371 |
return $conversionGroups;
|
|
|
2372 |
} // function getConversionGroupUnits()
|
|
|
2373 |
|
|
|
2374 |
|
|
|
2375 |
/**
|
|
|
2376 |
* getConversionGroupUnitDetails
|
|
|
2377 |
*
|
|
|
2378 |
* @param string $group The group whose units of measure you want to retrieve
|
|
|
2379 |
* @return array
|
|
|
2380 |
*/
|
|
|
2381 |
public static function getConversionGroupUnitDetails($group = NULL) {
|
|
|
2382 |
$conversionGroups = array();
|
|
|
2383 |
foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) {
|
|
|
2384 |
if ((is_null($group)) || ($conversionGroup['Group'] == $group)) {
|
|
|
2385 |
$conversionGroups[$conversionGroup['Group']][] = array( 'unit' => $conversionUnit,
|
|
|
2386 |
'description' => $conversionGroup['Unit Name']
|
|
|
2387 |
);
|
|
|
2388 |
}
|
|
|
2389 |
}
|
|
|
2390 |
return $conversionGroups;
|
|
|
2391 |
} // function getConversionGroupUnitDetails()
|
|
|
2392 |
|
|
|
2393 |
|
|
|
2394 |
/**
|
|
|
2395 |
* getConversionMultipliers
|
|
|
2396 |
* Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM()
|
|
|
2397 |
*
|
|
|
2398 |
* @return array of mixed
|
|
|
2399 |
*/
|
|
|
2400 |
public static function getConversionMultipliers() {
|
|
|
2401 |
return self::$_conversionMultipliers;
|
|
|
2402 |
} // function getConversionGroups()
|
|
|
2403 |
|
|
|
2404 |
|
|
|
2405 |
/**
|
|
|
2406 |
* CONVERTUOM
|
|
|
2407 |
*
|
|
|
2408 |
* Converts a number from one measurement system to another.
|
|
|
2409 |
* For example, CONVERT can translate a table of distances in miles to a table of distances
|
|
|
2410 |
* in kilometers.
|
|
|
2411 |
*
|
|
|
2412 |
* Excel Function:
|
|
|
2413 |
* CONVERT(value,fromUOM,toUOM)
|
|
|
2414 |
*
|
|
|
2415 |
* @param float $value The value in fromUOM to convert.
|
|
|
2416 |
* @param string $fromUOM The units for value.
|
|
|
2417 |
* @param string $toUOM The units for the result.
|
|
|
2418 |
*
|
|
|
2419 |
* @return float
|
|
|
2420 |
*/
|
|
|
2421 |
public static function CONVERTUOM($value, $fromUOM, $toUOM) {
|
|
|
2422 |
$value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
|
|
|
2423 |
$fromUOM = PHPExcel_Calculation_Functions::flattenSingleValue($fromUOM);
|
|
|
2424 |
$toUOM = PHPExcel_Calculation_Functions::flattenSingleValue($toUOM);
|
|
|
2425 |
|
|
|
2426 |
if (!is_numeric($value)) {
|
|
|
2427 |
return PHPExcel_Calculation_Functions::VALUE();
|
|
|
2428 |
}
|
|
|
2429 |
$fromMultiplier = 1.0;
|
|
|
2430 |
if (isset(self::$_conversionUnits[$fromUOM])) {
|
|
|
2431 |
$unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
|
|
|
2432 |
} else {
|
|
|
2433 |
$fromMultiplier = substr($fromUOM,0,1);
|
|
|
2434 |
$fromUOM = substr($fromUOM,1);
|
|
|
2435 |
if (isset(self::$_conversionMultipliers[$fromMultiplier])) {
|
|
|
2436 |
$fromMultiplier = self::$_conversionMultipliers[$fromMultiplier]['multiplier'];
|
|
|
2437 |
} else {
|
|
|
2438 |
return PHPExcel_Calculation_Functions::NA();
|
|
|
2439 |
}
|
|
|
2440 |
if ((isset(self::$_conversionUnits[$fromUOM])) && (self::$_conversionUnits[$fromUOM]['AllowPrefix'])) {
|
|
|
2441 |
$unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
|
|
|
2442 |
} else {
|
|
|
2443 |
return PHPExcel_Calculation_Functions::NA();
|
|
|
2444 |
}
|
|
|
2445 |
}
|
|
|
2446 |
$value *= $fromMultiplier;
|
|
|
2447 |
|
|
|
2448 |
$toMultiplier = 1.0;
|
|
|
2449 |
if (isset(self::$_conversionUnits[$toUOM])) {
|
|
|
2450 |
$unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
|
|
|
2451 |
} else {
|
|
|
2452 |
$toMultiplier = substr($toUOM,0,1);
|
|
|
2453 |
$toUOM = substr($toUOM,1);
|
|
|
2454 |
if (isset(self::$_conversionMultipliers[$toMultiplier])) {
|
|
|
2455 |
$toMultiplier = self::$_conversionMultipliers[$toMultiplier]['multiplier'];
|
|
|
2456 |
} else {
|
|
|
2457 |
return PHPExcel_Calculation_Functions::NA();
|
|
|
2458 |
}
|
|
|
2459 |
if ((isset(self::$_conversionUnits[$toUOM])) && (self::$_conversionUnits[$toUOM]['AllowPrefix'])) {
|
|
|
2460 |
$unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
|
|
|
2461 |
} else {
|
|
|
2462 |
return PHPExcel_Calculation_Functions::NA();
|
|
|
2463 |
}
|
|
|
2464 |
}
|
|
|
2465 |
if ($unitGroup1 != $unitGroup2) {
|
|
|
2466 |
return PHPExcel_Calculation_Functions::NA();
|
|
|
2467 |
}
|
|
|
2468 |
|
|
|
2469 |
if (($fromUOM == $toUOM) && ($fromMultiplier == $toMultiplier)) {
|
|
|
2470 |
// We've already factored $fromMultiplier into the value, so we need
|
|
|
2471 |
// to reverse it again
|
|
|
2472 |
return $value / $fromMultiplier;
|
|
|
2473 |
} elseif ($unitGroup1 == 'Temperature') {
|
|
|
2474 |
if (($fromUOM == 'F') || ($fromUOM == 'fah')) {
|
|
|
2475 |
if (($toUOM == 'F') || ($toUOM == 'fah')) {
|
|
|
2476 |
return $value;
|
|
|
2477 |
} else {
|
|
|
2478 |
$value = (($value - 32) / 1.8);
|
|
|
2479 |
if (($toUOM == 'K') || ($toUOM == 'kel')) {
|
|
|
2480 |
$value += 273.15;
|
|
|
2481 |
}
|
|
|
2482 |
return $value;
|
|
|
2483 |
}
|
|
|
2484 |
} elseif ((($fromUOM == 'K') || ($fromUOM == 'kel')) &&
|
|
|
2485 |
(($toUOM == 'K') || ($toUOM == 'kel'))) {
|
|
|
2486 |
return $value;
|
|
|
2487 |
} elseif ((($fromUOM == 'C') || ($fromUOM == 'cel')) &&
|
|
|
2488 |
(($toUOM == 'C') || ($toUOM == 'cel'))) {
|
|
|
2489 |
return $value;
|
|
|
2490 |
}
|
|
|
2491 |
if (($toUOM == 'F') || ($toUOM == 'fah')) {
|
|
|
2492 |
if (($fromUOM == 'K') || ($fromUOM == 'kel')) {
|
|
|
2493 |
$value -= 273.15;
|
|
|
2494 |
}
|
|
|
2495 |
return ($value * 1.8) + 32;
|
|
|
2496 |
}
|
|
|
2497 |
if (($toUOM == 'C') || ($toUOM == 'cel')) {
|
|
|
2498 |
return $value - 273.15;
|
|
|
2499 |
}
|
|
|
2500 |
return $value + 273.15;
|
|
|
2501 |
}
|
|
|
2502 |
return ($value * self::$_unitConversions[$unitGroup1][$fromUOM][$toUOM]) / $toMultiplier;
|
|
|
2503 |
} // function CONVERTUOM()
|
|
|
2504 |
|
|
|
2505 |
} // class PHPExcel_Calculation_Engineering
|