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2650 lines
108 KiB
2650 lines
108 KiB
<?php |
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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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/** |
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* PHPExcel_Calculation_Engineering |
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* |
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* Copyright (c) 2006 - 2015 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 - 2015 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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class PHPExcel_Calculation_Engineering |
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{ |
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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( |
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'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( |
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'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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/** |
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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( |
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'Mass' => array( |
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'g' => array( |
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'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( |
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'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( |
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'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( |
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'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( |
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'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( |
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'm' => array( |
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'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( |
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'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( |
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'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( |
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'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( |
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'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( |
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'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( |
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'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( |
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'm' => 3.52777777777800E-04, |
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'mi' => 2.19205948372629E-07, |
|
'Nmi' => 1.90484761219114E-07, |
|
'in' => 1.38888888888898E-02, |
|
'ft' => 1.15740740740748E-03, |
|
'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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'Time' => array( |
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'yr' => array( |
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'yr' => 1.0, |
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'day' => 365.25, |
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'hr' => 8766.0, |
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'mn' => 525960.0, |
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'sec' => 31557600.0, |
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), |
|
'day' => array( |
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'yr' => 2.73785078713210E-03, |
|
'day' => 1.0, |
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'hr' => 24.0, |
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'mn' => 1440.0, |
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'sec' => 86400.0, |
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), |
|
'hr' => array( |
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'yr' => 1.14077116130504E-04, |
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'day' => 4.16666666666667E-02, |
|
'hr' => 1.0, |
|
'mn' => 60.0, |
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'sec' => 3600.0, |
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), |
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'mn' => array( |
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'yr' => 1.90128526884174E-06, |
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'day' => 6.94444444444444E-04, |
|
'hr' => 1.66666666666667E-02, |
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'mn' => 1.0, |
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'sec' => 60.0, |
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), |
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'sec' => array( |
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'yr' => 3.16880878140289E-08, |
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'day' => 1.15740740740741E-05, |
|
'hr' => 2.77777777777778E-04, |
|
'mn' => 1.66666666666667E-02, |
|
'sec' => 1.0, |
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), |
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), |
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'Pressure' => array( |
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'Pa' => array( |
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'Pa' => 1.0, |
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'p' => 1.0, |
|
'atm' => 9.86923299998193E-06, |
|
'at' => 9.86923299998193E-06, |
|
'mmHg' => 7.50061707998627E-03, |
|
), |
|
'p' => array( |
|
'Pa' => 1.0, |
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'p' => 1.0, |
|
'atm' => 9.86923299998193E-06, |
|
'at' => 9.86923299998193E-06, |
|
'mmHg' => 7.50061707998627E-03, |
|
), |
|
'atm' => array( |
|
'Pa' => 1.01324996583000E+05, |
|
'p' => 1.01324996583000E+05, |
|
'atm' => 1.0, |
|
'at' => 1.0, |
|
'mmHg' => 760.0, |
|
), |
|
'at' => array( |
|
'Pa' => 1.01324996583000E+05, |
|
'p' => 1.01324996583000E+05, |
|
'atm' => 1.0, |
|
'at' => 1.0, |
|
'mmHg' => 760.0, |
|
), |
|
'mmHg' => array( |
|
'Pa' => 1.33322363925000E+02, |
|
'p' => 1.33322363925000E+02, |
|
'atm' => 1.31578947368421E-03, |
|
'at' => 1.31578947368421E-03, |
|
'mmHg' => 1.0, |
|
), |
|
), |
|
'Force' => array( |
|
'N' => array( |
|
'N' => 1.0, |
|
'dyn' => 1.0E+5, |
|
'dy' => 1.0E+5, |
|
'lbf' => 2.24808923655339E-01, |
|
), |
|
'dyn' => array( |
|
'N' => 1.0E-5, |
|
'dyn' => 1.0, |
|
'dy' => 1.0, |
|
'lbf' => 2.24808923655339E-06, |
|
), |
|
'dy' => array( |
|
'N' => 1.0E-5, |
|
'dyn' => 1.0, |
|
'dy' => 1.0, |
|
'lbf' => 2.24808923655339E-06, |
|
), |
|
'lbf' => array( |
|
'N' => 4.448222, |
|
'dyn' => 4.448222E+5, |
|
'dy' => 4.448222E+5, |
|
'lbf' => 1.0, |
|
), |
|
), |
|
'Energy' => array( |
|
'J' => array( |
|
'J' => 1.0, |
|
'e' => 9.99999519343231E+06, |
|
'c' => 2.39006249473467E-01, |
|
'cal' => 2.38846190642017E-01, |
|
'eV' => 6.24145700000000E+18, |
|
'ev' => 6.24145700000000E+18, |
|
'HPh' => 3.72506430801000E-07, |
|
'hh' => 3.72506430801000E-07, |
|
'Wh' => 2.77777916238711E-04, |
|
'wh' => 2.77777916238711E-04, |
|
'flb' => 2.37304222192651E+01, |
|
'BTU' => 9.47815067349015E-04, |
|
'btu' => 9.47815067349015E-04, |
|
), |
|
'e' => array( |
|
'J' => 1.00000048065700E-07, |
|
'e' => 1.0, |
|
'c' => 2.39006364353494E-08, |
|
'cal' => 2.38846305445111E-08, |
|
'eV' => 6.24146000000000E+11, |
|
'ev' => 6.24146000000000E+11, |
|
'HPh' => 3.72506609848824E-14, |
|
'hh' => 3.72506609848824E-14, |
|
'Wh' => 2.77778049754611E-11, |
|
'wh' => 2.77778049754611E-11, |
|
'flb' => 2.37304336254586E-06, |
|
'BTU' => 9.47815522922962E-11, |
|
'btu' => 9.47815522922962E-11, |
|
), |
|
'c' => array( |
|
'J' => 4.18399101363672E+00, |
|
'e' => 4.18398900257312E+07, |
|
'c' => 1.0, |
|
'cal' => 9.99330315287563E-01, |
|
'eV' => 2.61142000000000E+19, |
|
'ev' => 2.61142000000000E+19, |
|
'HPh' => 1.55856355899327E-06, |
|
'hh' => 1.55856355899327E-06, |
|
'Wh' => 1.16222030532950E-03, |
|
'wh' => 1.16222030532950E-03, |
|
'flb' => 9.92878733152102E+01, |
|
'BTU' => 3.96564972437776E-03, |
|
'btu' => 3.96564972437776E-03, |
|
), |
|
'cal' => array( |
|
'J' => 4.18679484613929E+00, |
|
'e' => 4.18679283372801E+07, |
|
'c' => 1.00067013349059E+00, |
|
'cal' => 1.0, |
|
'eV' => 2.61317000000000E+19, |
|
'ev' => 2.61317000000000E+19, |
|
'HPh' => 1.55960800463137E-06, |
|
'hh' => 1.55960800463137E-06, |
|
'Wh' => 1.16299914807955E-03, |
|
'wh' => 1.16299914807955E-03, |
|
'flb' => 9.93544094443283E+01, |
|
'BTU' => 3.96830723907002E-03, |
|
'btu' => 3.96830723907002E-03, |
|
), |
|
'eV' => array( |
|
'J' => 1.60219000146921E-19, |
|
'e' => 1.60218923136574E-12, |
|
'c' => 3.82933423195043E-20, |
|
'cal' => 3.82676978535648E-20, |
|
'eV' => 1.0, |
|
'ev' => 1.0, |
|
'HPh' => 5.96826078912344E-26, |
|
'hh' => 5.96826078912344E-26, |
|
'Wh' => 4.45053000026614E-23, |
|
'wh' => 4.45053000026614E-23, |
|
'flb' => 3.80206452103492E-18, |
|
'BTU' => 1.51857982414846E-22, |
|
'btu' => 1.51857982414846E-22, |
|
), |
|
'ev' => array( |
|
'J' => 1.60219000146921E-19, |
|
'e' => 1.60218923136574E-12, |
|
'c' => 3.82933423195043E-20, |
|
'cal' => 3.82676978535648E-20, |
|
'eV' => 1.0, |
|
'ev' => 1.0, |
|
'HPh' => 5.96826078912344E-26, |
|
'hh' => 5.96826078912344E-26, |
|
'Wh' => 4.45053000026614E-23, |
|
'wh' => 4.45053000026614E-23, |
|
'flb' => 3.80206452103492E-18, |
|
'BTU' => 1.51857982414846E-22, |
|
'btu' => 1.51857982414846E-22, |
|
), |
|
'HPh' => array( |
|
'J' => 2.68451741316170E+06, |
|
'e' => 2.68451612283024E+13, |
|
'c' => 6.41616438565991E+05, |
|
'cal' => 6.41186757845835E+05, |
|
'eV' => 1.67553000000000E+25, |
|
'ev' => 1.67553000000000E+25, |
|
'HPh' => 1.0, |
|
'hh' => 1.0, |
|
'Wh' => 7.45699653134593E+02, |
|
'wh' => 7.45699653134593E+02, |
|
'flb' => 6.37047316692964E+07, |
|
'BTU' => 2.54442605275546E+03, |
|
'btu' => 2.54442605275546E+03, |
|
), |
|
'hh' => array( |
|
'J' => 2.68451741316170E+06, |
|
'e' => 2.68451612283024E+13, |
|
'c' => 6.41616438565991E+05, |
|
'cal' => 6.41186757845835E+05, |
|
'eV' => 1.67553000000000E+25, |
|
'ev' => 1.67553000000000E+25, |
|
'HPh' => 1.0, |
|
'hh' => 1.0, |
|
'Wh' => 7.45699653134593E+02, |
|
'wh' => 7.45699653134593E+02, |
|
'flb' => 6.37047316692964E+07, |
|
'BTU' => 2.54442605275546E+03, |
|
'btu' => 2.54442605275546E+03, |
|
), |
|
'Wh' => array( |
|
'J' => 3.59999820554720E+03, |
|
'e' => 3.59999647518369E+10, |
|
'c' => 8.60422069219046E+02, |
|
'cal' => 8.59845857713046E+02, |
|
'eV' => 2.24692340000000E+22, |
|
'ev' => 2.24692340000000E+22, |
|
'HPh' => 1.34102248243839E-03, |
|
'hh' => 1.34102248243839E-03, |
|
'Wh' => 1.0, |
|
'wh' => 1.0, |
|
'flb' => 8.54294774062316E+04, |
|
'BTU' => 3.41213254164705E+00, |
|
'btu' => 3.41213254164705E+00, |
|
), |
|
'wh' => array( |
|
'J' => 3.59999820554720E+03, |
|
'e' => 3.59999647518369E+10, |
|
'c' => 8.60422069219046E+02, |
|
'cal' => 8.59845857713046E+02, |
|
'eV' => 2.24692340000000E+22, |
|
'ev' => 2.24692340000000E+22, |
|
'HPh' => 1.34102248243839E-03, |
|
'hh' => 1.34102248243839E-03, |
|
'Wh' => 1.0, |
|
'wh' => 1.0, |
|
'flb' => 8.54294774062316E+04, |
|
'BTU' => 3.41213254164705E+00, |
|
'btu' => 3.41213254164705E+00, |
|
), |
|
'flb' => array( |
|
'J' => 4.21400003236424E-02, |
|
'e' => 4.21399800687660E+05, |
|
'c' => 1.00717234301644E-02, |
|
'cal' => 1.00649785509554E-02, |
|
'eV' => 2.63015000000000E+17, |
|
'ev' => 2.63015000000000E+17, |
|
'HPh' => 1.56974211145130E-08, |
|
'hh' => 1.56974211145130E-08, |
|
'Wh' => 1.17055614802000E-05, |
|
'wh' => 1.17055614802000E-05, |
|
'flb' => 1.0, |
|
'BTU' => 3.99409272448406E-05, |
|
'btu' => 3.99409272448406E-05, |
|
), |
|
'BTU' => array( |
|
'J' => 1.05505813786749E+03, |
|
'e' => 1.05505763074665E+10, |
|
'c' => 2.52165488508168E+02, |
|
'cal' => 2.51996617135510E+02, |
|
'eV' => 6.58510000000000E+21, |
|
'ev' => 6.58510000000000E+21, |
|
'HPh' => 3.93015941224568E-04, |
|
'hh' => 3.93015941224568E-04, |
|
'Wh' => 2.93071851047526E-01, |
|
'wh' => 2.93071851047526E-01, |
|
'flb' => 2.50369750774671E+04, |
|
'BTU' => 1.0, |
|
'btu' => 1.0, |
|
), |
|
'btu' => array( |
|
'J' => 1.05505813786749E+03, |
|
'e' => 1.05505763074665E+10, |
|
'c' => 2.52165488508168E+02, |
|
'cal' => 2.51996617135510E+02, |
|
'eV' => 6.58510000000000E+21, |
|
'ev' => 6.58510000000000E+21, |
|
'HPh' => 3.93015941224568E-04, |
|
'hh' => 3.93015941224568E-04, |
|
'Wh' => 2.93071851047526E-01, |
|
'wh' => 2.93071851047526E-01, |
|
'flb' => 2.50369750774671E+04, |
|
'BTU' => 1.0, |
|
'btu' => 1.0, |
|
), |
|
), |
|
'Power' => array( |
|
'HP' => array( |
|
'HP' => 1.0, |
|
'h' => 1.0, |
|
'W' => 7.45701000000000E+02, |
|
'w' => 7.45701000000000E+02, |
|
), |
|
'h' => array( |
|
'HP' => 1.0, |
|
'h' => 1.0, |
|
'W' => 7.45701000000000E+02, |
|
'w' => 7.45701000000000E+02, |
|
), |
|
'W' => array( |
|
'HP' => 1.34102006031908E-03, |
|
'h' => 1.34102006031908E-03, |
|
'W' => 1.0, |
|
'w' => 1.0, |
|
), |
|
'w' => array( |
|
'HP' => 1.34102006031908E-03, |
|
'h' => 1.34102006031908E-03, |
|
'W' => 1.0, |
|
'w' => 1.0, |
|
), |
|
), |
|
'Magnetism' => array( |
|
'T' => array( |
|
'T' => 1.0, |
|
'ga' => 10000.0, |
|
), |
|
'ga' => array( |
|
'T' => 0.0001, |
|
'ga' => 1.0, |
|
), |
|
), |
|
'Liquid' => array( |
|
'tsp' => array( |
|
'tsp' => 1.0, |
|
'tbs' => 3.33333333333333E-01, |
|
'oz' => 1.66666666666667E-01, |
|
'cup' => 2.08333333333333E-02, |
|
'pt' => 1.04166666666667E-02, |
|
'us_pt' => 1.04166666666667E-02, |
|
'uk_pt' => 8.67558516821960E-03, |
|
'qt' => 5.20833333333333E-03, |
|
'gal' => 1.30208333333333E-03, |
|
'l' => 4.92999408400710E-03, |
|
'lt' => 4.92999408400710E-03, |
|
), |
|
'tbs' => array( |
|
'tsp' => 3.00000000000000E+00, |
|
'tbs' => 1.0, |
|
'oz' => 5.00000000000000E-01, |
|
'cup' => 6.25000000000000E-02, |
|
'pt' => 3.12500000000000E-02, |
|
'us_pt' => 3.12500000000000E-02, |
|
'uk_pt' => 2.60267555046588E-02, |
|
'qt' => 1.56250000000000E-02, |
|
'gal' => 3.90625000000000E-03, |
|
'l' => 1.47899822520213E-02, |
|
'lt' => 1.47899822520213E-02, |
|
), |
|
'oz' => array( |
|
'tsp' => 6.00000000000000E+00, |
|
'tbs' => 2.00000000000000E+00, |
|
'oz' => 1.0, |
|
'cup' => 1.25000000000000E-01, |
|
'pt' => 6.25000000000000E-02, |
|
'us_pt' => 6.25000000000000E-02, |
|
'uk_pt' => 5.20535110093176E-02, |
|
'qt' => 3.12500000000000E-02, |
|
'gal' => 7.81250000000000E-03, |
|
'l' => 2.95799645040426E-02, |
|
'lt' => 2.95799645040426E-02, |
|
), |
|
'cup' => array( |
|
'tsp' => 4.80000000000000E+01, |
|
'tbs' => 1.60000000000000E+01, |
|
'oz' => 8.00000000000000E+00, |
|
'cup' => 1.0, |
|
'pt' => 5.00000000000000E-01, |
|
'us_pt' => 5.00000000000000E-01, |
|
'uk_pt' => 4.16428088074541E-01, |
|
'qt' => 2.50000000000000E-01, |
|
'gal' => 6.25000000000000E-02, |
|
'l' => 2.36639716032341E-01, |
|
'lt' => 2.36639716032341E-01, |
|
), |
|
'pt' => array( |
|
'tsp' => 9.60000000000000E+01, |
|
'tbs' => 3.20000000000000E+01, |
|
'oz' => 1.60000000000000E+01, |
|
'cup' => 2.00000000000000E+00, |
|
'pt' => 1.0, |
|
'us_pt' => 1.0, |
|
'uk_pt' => 8.32856176149081E-01, |
|
'qt' => 5.00000000000000E-01, |
|
'gal' => 1.25000000000000E-01, |
|
'l' => 4.73279432064682E-01, |
|
'lt' => 4.73279432064682E-01, |
|
), |
|
'us_pt' => array( |
|
'tsp' => 9.60000000000000E+01, |
|
'tbs' => 3.20000000000000E+01, |
|
'oz' => 1.60000000000000E+01, |
|
'cup' => 2.00000000000000E+00, |
|
'pt' => 1.0, |
|
'us_pt' => 1.0, |
|
'uk_pt' => 8.32856176149081E-01, |
|
'qt' => 5.00000000000000E-01, |
|
'gal' => 1.25000000000000E-01, |
|
'l' => 4.73279432064682E-01, |
|
'lt' => 4.73279432064682E-01, |
|
), |
|
'uk_pt' => array( |
|
'tsp' => 1.15266000000000E+02, |
|
'tbs' => 3.84220000000000E+01, |
|
'oz' => 1.92110000000000E+01, |
|
'cup' => 2.40137500000000E+00, |
|
'pt' => 1.20068750000000E+00, |
|
'us_pt' => 1.20068750000000E+00, |
|
'uk_pt' => 1.0, |
|
'qt' => 6.00343750000000E-01, |
|
'gal' => 1.50085937500000E-01, |
|
'l' => 5.68260698087162E-01, |
|
'lt' => 5.68260698087162E-01, |
|
), |
|
'qt' => array( |
|
'tsp' => 1.92000000000000E+02, |
|
'tbs' => 6.40000000000000E+01, |
|
'oz' => 3.20000000000000E+01, |
|
'cup' => 4.00000000000000E+00, |
|
'pt' => 2.00000000000000E+00, |
|
'us_pt' => 2.00000000000000E+00, |
|
'uk_pt' => 1.66571235229816E+00, |
|
'qt' => 1.0, |
|
'gal' => 2.50000000000000E-01, |
|
'l' => 9.46558864129363E-01, |
|
'lt' => 9.46558864129363E-01, |
|
), |
|
'gal' => array( |
|
'tsp' => 7.68000000000000E+02, |
|
'tbs' => 2.56000000000000E+02, |
|
'oz' => 1.28000000000000E+02, |
|
'cup' => 1.60000000000000E+01, |
|
'pt' => 8.00000000000000E+00, |
|
'us_pt' => 8.00000000000000E+00, |
|
'uk_pt' => 6.66284940919265E+00, |
|
'qt' => 4.00000000000000E+00, |
|
'gal' => 1.0, |
|
'l' => 3.78623545651745E+00, |
|
'lt' => 3.78623545651745E+00, |
|
), |
|
'l' => array( |
|
'tsp' => 2.02840000000000E+02, |
|
'tbs' => 6.76133333333333E+01, |
|
'oz' => 3.38066666666667E+01, |
|
'cup' => 4.22583333333333E+00, |
|
'pt' => 2.11291666666667E+00, |
|
'us_pt' => 2.11291666666667E+00, |
|
'uk_pt' => 1.75975569552166E+00, |
|
'qt' => 1.05645833333333E+00, |
|
'gal' => 2.64114583333333E-01, |
|
'l' => 1.0, |
|
'lt' => 1.0, |
|
), |
|
'lt' => array( |
|
'tsp' => 2.02840000000000E+02, |
|
'tbs' => 6.76133333333333E+01, |
|
'oz' => 3.38066666666667E+01, |
|
'cup' => 4.22583333333333E+00, |
|
'pt' => 2.11291666666667E+00, |
|
'us_pt' => 2.11291666666667E+00, |
|
'uk_pt' => 1.75975569552166E+00, |
|
'qt' => 1.05645833333333E+00, |
|
'gal' => 2.64114583333333E-01, |
|
'l' => 1.0, |
|
'lt' => 1.0, |
|
), |
|
), |
|
); |
|
|
|
|
|
/** |
|
* parseComplex |
|
* |
|
* Parses a complex number into its real and imaginary parts, and an I or J suffix |
|
* |
|
* @param string $complexNumber The complex number |
|
* @return string[] Indexed on "real", "imaginary" and "suffix" |
|
*/ |
|
public static function parseComplex($complexNumber) |
|
{ |
|
$workString = (string) $complexNumber; |
|
|
|
$realNumber = $imaginary = 0; |
|
// Extract the suffix, if there is one |
|
$suffix = substr($workString, -1); |
|
if (!is_numeric($suffix)) { |
|
$workString = substr($workString, 0, -1); |
|
} else { |
|
$suffix = ''; |
|
} |
|
|
|
// Split the input into its Real and Imaginary components |
|
$leadingSign = 0; |
|
if (strlen($workString) > 0) { |
|
$leadingSign = (($workString{0} == '+') || ($workString{0} == '-')) ? 1 : 0; |
|
} |
|
$power = ''; |
|
$realNumber = strtok($workString, '+-'); |
|
if (strtoupper(substr($realNumber, -1)) == 'E') { |
|
$power = strtok('+-'); |
|
++$leadingSign; |
|
} |
|
|
|
$realNumber = substr($workString, 0, strlen($realNumber)+strlen($power)+$leadingSign); |
|
|
|
if ($suffix != '') { |
|
$imaginary = substr($workString, strlen($realNumber)); |
|
|
|
if (($imaginary == '') && (($realNumber == '') || ($realNumber == '+') || ($realNumber == '-'))) { |
|
$imaginary = $realNumber.'1'; |
|
$realNumber = '0'; |
|
} elseif ($imaginary == '') { |
|
$imaginary = $realNumber; |
|
$realNumber = '0'; |
|
} elseif (($imaginary == '+') || ($imaginary == '-')) { |
|
$imaginary .= '1'; |
|
} |
|
} |
|
|
|
return array( |
|
'real' => $realNumber, |
|
'imaginary' => $imaginary, |
|
'suffix' => $suffix |
|
); |
|
} |
|
|
|
|
|
/** |
|
* Cleans the leading characters in a complex number string |
|
* |
|
* @param string $complexNumber The complex number to clean |
|
* @return string The "cleaned" complex number |
|
*/ |
|
private static function cleanComplex($complexNumber) |
|
{ |
|
if ($complexNumber{0} == '+') { |
|
$complexNumber = substr($complexNumber, 1); |
|
} |
|
if ($complexNumber{0} == '0') { |
|
$complexNumber = substr($complexNumber, 1); |
|
} |
|
if ($complexNumber{0} == '.') { |
|
$complexNumber = '0'.$complexNumber; |
|
} |
|
if ($complexNumber{0} == '+') { |
|
$complexNumber = substr($complexNumber, 1); |
|
} |
|
return $complexNumber; |
|
} |
|
|
|
/** |
|
* Formats a number base string value with leading zeroes |
|
* |
|
* @param string $xVal The "number" to pad |
|
* @param integer $places The length that we want to pad this value |
|
* @return string The padded "number" |
|
*/ |
|
private static function nbrConversionFormat($xVal, $places) |
|
{ |
|
if (!is_null($places)) { |
|
if (strlen($xVal) <= $places) { |
|
return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10); |
|
} else { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
} |
|
|
|
return substr($xVal, -10); |
|
} |
|
|
|
/** |
|
* BESSELI |
|
* |
|
* Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated |
|
* for purely imaginary arguments |
|
* |
|
* Excel Function: |
|
* BESSELI(x,ord) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param float $x The value at which to evaluate the function. |
|
* If x is nonnumeric, BESSELI returns the #VALUE! error value. |
|
* @param integer $ord The order of the Bessel function. |
|
* If ord is not an integer, it is truncated. |
|
* If $ord is nonnumeric, BESSELI returns the #VALUE! error value. |
|
* If $ord < 0, BESSELI returns the #NUM! error value. |
|
* @return float |
|
* |
|
*/ |
|
public static function BESSELI($x, $ord) |
|
{ |
|
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
|
|
|
if ((is_numeric($x)) && (is_numeric($ord))) { |
|
$ord = floor($ord); |
|
if ($ord < 0) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
|
|
if (abs($x) <= 30) { |
|
$fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord); |
|
$ordK = 1; |
|
$fSqrX = ($x * $x) / 4; |
|
do { |
|
$fTerm *= $fSqrX; |
|
$fTerm /= ($ordK * ($ordK + $ord)); |
|
$fResult += $fTerm; |
|
} while ((abs($fTerm) > 1e-12) && (++$ordK < 100)); |
|
} else { |
|
$f_2_PI = 2 * M_PI; |
|
|
|
$fXAbs = abs($x); |
|
$fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs); |
|
if (($ord & 1) && ($x < 0)) { |
|
$fResult = -$fResult; |
|
} |
|
} |
|
return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult; |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
/** |
|
* BESSELJ |
|
* |
|
* Returns the Bessel function |
|
* |
|
* Excel Function: |
|
* BESSELJ(x,ord) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param float $x The value at which to evaluate the function. |
|
* If x is nonnumeric, BESSELJ returns the #VALUE! error value. |
|
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated. |
|
* If $ord is nonnumeric, BESSELJ returns the #VALUE! error value. |
|
* If $ord < 0, BESSELJ returns the #NUM! error value. |
|
* @return float |
|
* |
|
*/ |
|
public static function BESSELJ($x, $ord) |
|
{ |
|
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
|
|
|
if ((is_numeric($x)) && (is_numeric($ord))) { |
|
$ord = floor($ord); |
|
if ($ord < 0) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
|
|
$fResult = 0; |
|
if (abs($x) <= 30) { |
|
$fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord); |
|
$ordK = 1; |
|
$fSqrX = ($x * $x) / -4; |
|
do { |
|
$fTerm *= $fSqrX; |
|
$fTerm /= ($ordK * ($ordK + $ord)); |
|
$fResult += $fTerm; |
|
} while ((abs($fTerm) > 1e-12) && (++$ordK < 100)); |
|
} else { |
|
$f_PI_DIV_2 = M_PI / 2; |
|
$f_PI_DIV_4 = M_PI / 4; |
|
|
|
$fXAbs = abs($x); |
|
$fResult = sqrt(M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4); |
|
if (($ord & 1) && ($x < 0)) { |
|
$fResult = -$fResult; |
|
} |
|
} |
|
return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult; |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
private static function besselK0($fNum) |
|
{ |
|
if ($fNum <= 2) { |
|
$fNum2 = $fNum * 0.5; |
|
$y = ($fNum2 * $fNum2); |
|
$fRet = -log($fNum2) * self::BESSELI($fNum, 0) + |
|
(-0.57721566 + $y * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y * |
|
(0.10750e-3 + $y * 0.74e-5)))))); |
|
} else { |
|
$y = 2 / $fNum; |
|
$fRet = exp(-$fNum) / sqrt($fNum) * |
|
(1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y * |
|
(0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3)))))); |
|
} |
|
return $fRet; |
|
} |
|
|
|
|
|
private static function besselK1($fNum) |
|
{ |
|
if ($fNum <= 2) { |
|
$fNum2 = $fNum * 0.5; |
|
$y = ($fNum2 * $fNum2); |
|
$fRet = log($fNum2) * self::BESSELI($fNum, 1) + |
|
(1 + $y * (0.15443144 + $y * (-0.67278579 + $y * (-0.18156897 + $y * (-0.1919402e-1 + $y * |
|
(-0.110404e-2 + $y * (-0.4686e-4))))))) / $fNum; |
|
} else { |
|
$y = 2 / $fNum; |
|
$fRet = exp(-$fNum) / sqrt($fNum) * |
|
(1.25331414 + $y * (0.23498619 + $y * (-0.3655620e-1 + $y * (0.1504268e-1 + $y * (-0.780353e-2 + $y * |
|
(0.325614e-2 + $y * (-0.68245e-3))))))); |
|
} |
|
return $fRet; |
|
} |
|
|
|
|
|
/** |
|
* BESSELK |
|
* |
|
* Returns the modified Bessel function Kn(x), which is equivalent to the Bessel functions evaluated |
|
* for purely imaginary arguments. |
|
* |
|
* Excel Function: |
|
* BESSELK(x,ord) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param float $x The value at which to evaluate the function. |
|
* If x is nonnumeric, BESSELK returns the #VALUE! error value. |
|
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated. |
|
* If $ord is nonnumeric, BESSELK returns the #VALUE! error value. |
|
* If $ord < 0, BESSELK returns the #NUM! error value. |
|
* @return float |
|
* |
|
*/ |
|
public static function BESSELK($x, $ord) |
|
{ |
|
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
|
|
|
if ((is_numeric($x)) && (is_numeric($ord))) { |
|
if (($ord < 0) || ($x == 0.0)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
|
|
switch (floor($ord)) { |
|
case 0: |
|
return self::besselK0($x); |
|
case 1: |
|
return self::besselK1($x); |
|
default: |
|
$fTox = 2 / $x; |
|
$fBkm = self::besselK0($x); |
|
$fBk = self::besselK1($x); |
|
for ($n = 1; $n < $ord; ++$n) { |
|
$fBkp = $fBkm + $n * $fTox * $fBk; |
|
$fBkm = $fBk; |
|
$fBk = $fBkp; |
|
} |
|
} |
|
return (is_nan($fBk)) ? PHPExcel_Calculation_Functions::NaN() : $fBk; |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
private static function besselY0($fNum) |
|
{ |
|
if ($fNum < 8.0) { |
|
$y = ($fNum * $fNum); |
|
$f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733)))); |
|
$f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.26470 + $y * (226.1030244 + $y)))); |
|
$fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum); |
|
} else { |
|
$z = 8.0 / $fNum; |
|
$y = ($z * $z); |
|
$xx = $fNum - 0.785398164; |
|
$f1 = 1 + $y * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6))); |
|
$f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7)))); |
|
$fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2); |
|
} |
|
return $fRet; |
|
} |
|
|
|
|
|
private static function besselY1($fNum) |
|
{ |
|
if ($fNum < 8.0) { |
|
$y = ($fNum * $fNum); |
|
$f1 = $fNum * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y * |
|
(-0.4237922726e7 + $y * 0.8511937935e4))))); |
|
$f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y * |
|
(0.1020426050e6 + $y * (0.3549632885e3 + $y))))); |
|
$fRet = $f1 / $f2 + 0.636619772 * ( self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum); |
|
} else { |
|
$fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491); |
|
} |
|
return $fRet; |
|
} |
|
|
|
|
|
/** |
|
* BESSELY |
|
* |
|
* Returns the Bessel function, which is also called the Weber function or the Neumann function. |
|
* |
|
* Excel Function: |
|
* BESSELY(x,ord) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param float $x The value at which to evaluate the function. |
|
* If x is nonnumeric, BESSELK returns the #VALUE! error value. |
|
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated. |
|
* If $ord is nonnumeric, BESSELK returns the #VALUE! error value. |
|
* If $ord < 0, BESSELK returns the #NUM! error value. |
|
* |
|
* @return float |
|
*/ |
|
public static function BESSELY($x, $ord) |
|
{ |
|
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
|
|
|
if ((is_numeric($x)) && (is_numeric($ord))) { |
|
if (($ord < 0) || ($x == 0.0)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
|
|
switch (floor($ord)) { |
|
case 0: |
|
return self::besselY0($x); |
|
case 1: |
|
return self::besselY1($x); |
|
default: |
|
$fTox = 2 / $x; |
|
$fBym = self::besselY0($x); |
|
$fBy = self::besselY1($x); |
|
for ($n = 1; $n < $ord; ++$n) { |
|
$fByp = $n * $fTox * $fBy - $fBym; |
|
$fBym = $fBy; |
|
$fBy = $fByp; |
|
} |
|
} |
|
return (is_nan($fBy)) ? PHPExcel_Calculation_Functions::NaN() : $fBy; |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
/** |
|
* BINTODEC |
|
* |
|
* Return a binary value as decimal. |
|
* |
|
* Excel Function: |
|
* BIN2DEC(x) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The binary number (as a string) that you want to convert. The number |
|
* cannot contain more than 10 characters (10 bits). The most significant |
|
* bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
|
* Negative numbers are represented using two's-complement notation. |
|
* If number is not a valid binary number, or if number contains more than |
|
* 10 characters (10 bits), BIN2DEC returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function BINTODEC($x) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
|
|
if (is_bool($x)) { |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
|
$x = (int) $x; |
|
} else { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) { |
|
$x = floor($x); |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[01]/', $x, $out)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
if (strlen($x) > 10) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} elseif (strlen($x) == 10) { |
|
// Two's Complement |
|
$x = substr($x, -9); |
|
return '-'.(512-bindec($x)); |
|
} |
|
return bindec($x); |
|
} |
|
|
|
|
|
/** |
|
* BINTOHEX |
|
* |
|
* Return a binary value as hex. |
|
* |
|
* Excel Function: |
|
* BIN2HEX(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The binary number (as a string) that you want to convert. The number |
|
* cannot contain more than 10 characters (10 bits). The most significant |
|
* bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
|
* Negative numbers are represented using two's-complement notation. |
|
* If number is not a valid binary number, or if number contains more than |
|
* 10 characters (10 bits), BIN2HEX returns the #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, BIN2HEX uses the |
|
* minimum number of characters necessary. Places is useful for padding the |
|
* return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, BIN2HEX returns the #VALUE! error value. |
|
* If places is negative, BIN2HEX returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function BINTOHEX($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
|
$x = (int) $x; |
|
} else { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) { |
|
$x = floor($x); |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[01]/', $x, $out)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
if (strlen($x) > 10) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} elseif (strlen($x) == 10) { |
|
// Two's Complement |
|
return str_repeat('F', 8).substr(strtoupper(dechex(bindec(substr($x, -9)))), -2); |
|
} |
|
$hexVal = (string) strtoupper(dechex(bindec($x))); |
|
|
|
return self::nbrConversionFormat($hexVal, $places); |
|
} |
|
|
|
|
|
/** |
|
* BINTOOCT |
|
* |
|
* Return a binary value as octal. |
|
* |
|
* Excel Function: |
|
* BIN2OCT(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The binary number (as a string) that you want to convert. The number |
|
* cannot contain more than 10 characters (10 bits). The most significant |
|
* bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
|
* Negative numbers are represented using two's-complement notation. |
|
* If number is not a valid binary number, or if number contains more than |
|
* 10 characters (10 bits), BIN2OCT returns the #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, BIN2OCT uses the |
|
* minimum number of characters necessary. Places is useful for padding the |
|
* return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, BIN2OCT returns the #VALUE! error value. |
|
* If places is negative, BIN2OCT returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function BINTOOCT($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
|
$x = (int) $x; |
|
} else { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) { |
|
$x = floor($x); |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[01]/', $x, $out)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
if (strlen($x) > 10) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} elseif (strlen($x) == 10) { |
|
// Two's Complement |
|
return str_repeat('7', 7).substr(strtoupper(decoct(bindec(substr($x, -9)))), -3); |
|
} |
|
$octVal = (string) decoct(bindec($x)); |
|
|
|
return self::nbrConversionFormat($octVal, $places); |
|
} |
|
|
|
|
|
/** |
|
* DECTOBIN |
|
* |
|
* Return a decimal value as binary. |
|
* |
|
* Excel Function: |
|
* DEC2BIN(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The decimal integer you want to convert. If number is negative, |
|
* valid place values are ignored and DEC2BIN returns a 10-character |
|
* (10-bit) binary number in which the most significant bit is the sign |
|
* bit. The remaining 9 bits are magnitude bits. Negative numbers are |
|
* represented using two's-complement notation. |
|
* If number < -512 or if number > 511, DEC2BIN returns the #NUM! error |
|
* value. |
|
* If number is nonnumeric, DEC2BIN returns the #VALUE! error value. |
|
* If DEC2BIN requires more than places characters, it returns the #NUM! |
|
* error value. |
|
* @param integer $places The number of characters to use. If places is omitted, DEC2BIN uses |
|
* the minimum number of characters necessary. Places is useful for |
|
* padding the return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, DEC2BIN returns the #VALUE! error value. |
|
* If places is zero or negative, DEC2BIN returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function DECTOBIN($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
|
$x = (int) $x; |
|
} else { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) floor($x); |
|
$r = decbin($x); |
|
if (strlen($r) == 32) { |
|
// Two's Complement |
|
$r = substr($r, -10); |
|
} elseif (strlen($r) > 11) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
|
|
return self::nbrConversionFormat($r, $places); |
|
} |
|
|
|
|
|
/** |
|
* DECTOHEX |
|
* |
|
* Return a decimal value as hex. |
|
* |
|
* Excel Function: |
|
* DEC2HEX(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The decimal integer you want to convert. If number is negative, |
|
* places is ignored and DEC2HEX returns a 10-character (40-bit) |
|
* hexadecimal number in which the most significant bit is the sign |
|
* bit. The remaining 39 bits are magnitude bits. Negative numbers |
|
* are represented using two's-complement notation. |
|
* If number < -549,755,813,888 or if number > 549,755,813,887, |
|
* DEC2HEX returns the #NUM! error value. |
|
* If number is nonnumeric, DEC2HEX returns the #VALUE! error value. |
|
* If DEC2HEX requires more than places characters, it returns the |
|
* #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, DEC2HEX uses |
|
* the minimum number of characters necessary. Places is useful for |
|
* padding the return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, DEC2HEX returns the #VALUE! error value. |
|
* If places is zero or negative, DEC2HEX returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function DECTOHEX($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
|
$x = (int) $x; |
|
} else { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) floor($x); |
|
$r = strtoupper(dechex($x)); |
|
if (strlen($r) == 8) { |
|
// Two's Complement |
|
$r = 'FF'.$r; |
|
} |
|
|
|
return self::nbrConversionFormat($r, $places); |
|
} |
|
|
|
|
|
/** |
|
* DECTOOCT |
|
* |
|
* Return an decimal value as octal. |
|
* |
|
* Excel Function: |
|
* DEC2OCT(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The decimal integer you want to convert. If number is negative, |
|
* places is ignored and DEC2OCT returns a 10-character (30-bit) |
|
* octal number in which the most significant bit is the sign bit. |
|
* The remaining 29 bits are magnitude bits. Negative numbers are |
|
* represented using two's-complement notation. |
|
* If number < -536,870,912 or if number > 536,870,911, DEC2OCT |
|
* returns the #NUM! error value. |
|
* If number is nonnumeric, DEC2OCT returns the #VALUE! error value. |
|
* If DEC2OCT requires more than places characters, it returns the |
|
* #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, DEC2OCT uses |
|
* the minimum number of characters necessary. Places is useful for |
|
* padding the return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, DEC2OCT returns the #VALUE! error value. |
|
* If places is zero or negative, DEC2OCT returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function DECTOOCT($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
|
$x = (int) $x; |
|
} else { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) floor($x); |
|
$r = decoct($x); |
|
if (strlen($r) == 11) { |
|
// Two's Complement |
|
$r = substr($r, -10); |
|
} |
|
|
|
return self::nbrConversionFormat($r, $places); |
|
} |
|
|
|
|
|
/** |
|
* HEXTOBIN |
|
* |
|
* Return a hex value as binary. |
|
* |
|
* Excel Function: |
|
* HEX2BIN(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x the hexadecimal number you want to convert. Number cannot |
|
* contain more than 10 characters. The most significant bit of |
|
* number is the sign bit (40th bit from the right). The remaining |
|
* 9 bits are magnitude bits. Negative numbers are represented |
|
* using two's-complement notation. |
|
* If number is negative, HEX2BIN ignores places and returns a |
|
* 10-character binary number. |
|
* If number is negative, it cannot be less than FFFFFFFE00, and |
|
* if number is positive, it cannot be greater than 1FF. |
|
* If number is not a valid hexadecimal number, HEX2BIN returns |
|
* the #NUM! error value. |
|
* If HEX2BIN requires more than places characters, it returns |
|
* the #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, |
|
* HEX2BIN uses the minimum number of characters necessary. Places |
|
* is useful for padding the return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, HEX2BIN returns the #VALUE! error value. |
|
* If places is negative, HEX2BIN returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function HEXTOBIN($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
$binVal = decbin(hexdec($x)); |
|
|
|
return substr(self::nbrConversionFormat($binVal, $places), -10); |
|
} |
|
|
|
|
|
/** |
|
* HEXTODEC |
|
* |
|
* Return a hex value as decimal. |
|
* |
|
* Excel Function: |
|
* HEX2DEC(x) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The hexadecimal number you want to convert. This number cannot |
|
* contain more than 10 characters (40 bits). The most significant |
|
* bit of number is the sign bit. The remaining 39 bits are magnitude |
|
* bits. Negative numbers are represented using two's-complement |
|
* notation. |
|
* If number is not a valid hexadecimal number, HEX2DEC returns the |
|
* #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function HEXTODEC($x) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
|
|
if (is_bool($x)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
return hexdec($x); |
|
} |
|
|
|
|
|
/** |
|
* HEXTOOCT |
|
* |
|
* Return a hex value as octal. |
|
* |
|
* Excel Function: |
|
* HEX2OCT(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The hexadecimal number you want to convert. Number cannot |
|
* contain more than 10 characters. The most significant bit of |
|
* number is the sign bit. The remaining 39 bits are magnitude |
|
* bits. Negative numbers are represented using two's-complement |
|
* notation. |
|
* If number is negative, HEX2OCT ignores places and returns a |
|
* 10-character octal number. |
|
* If number is negative, it cannot be less than FFE0000000, and |
|
* if number is positive, it cannot be greater than 1FFFFFFF. |
|
* If number is not a valid hexadecimal number, HEX2OCT returns |
|
* the #NUM! error value. |
|
* If HEX2OCT requires more than places characters, it returns |
|
* the #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, HEX2OCT |
|
* uses the minimum number of characters necessary. Places is |
|
* useful for padding the return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, HEX2OCT returns the #VALUE! error |
|
* value. |
|
* If places is negative, HEX2OCT returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function HEXTOOCT($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) $x; |
|
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
$octVal = decoct(hexdec($x)); |
|
|
|
return self::nbrConversionFormat($octVal, $places); |
|
} // function HEXTOOCT() |
|
|
|
|
|
/** |
|
* OCTTOBIN |
|
* |
|
* Return an octal value as binary. |
|
* |
|
* Excel Function: |
|
* OCT2BIN(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The octal number you want to convert. Number may not |
|
* contain more than 10 characters. The most significant |
|
* bit of number is the sign bit. The remaining 29 bits |
|
* are magnitude bits. Negative numbers are represented |
|
* using two's-complement notation. |
|
* If number is negative, OCT2BIN ignores places and returns |
|
* a 10-character binary number. |
|
* If number is negative, it cannot be less than 7777777000, |
|
* and if number is positive, it cannot be greater than 777. |
|
* If number is not a valid octal number, OCT2BIN returns |
|
* the #NUM! error value. |
|
* If OCT2BIN requires more than places characters, it |
|
* returns the #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, |
|
* OCT2BIN uses the minimum number of characters necessary. |
|
* Places is useful for padding the return value with |
|
* leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, OCT2BIN returns the #VALUE! |
|
* error value. |
|
* If places is negative, OCT2BIN returns the #NUM! error |
|
* value. |
|
* @return string |
|
*/ |
|
public static function OCTTOBIN($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) $x; |
|
if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
$r = decbin(octdec($x)); |
|
|
|
return self::nbrConversionFormat($r, $places); |
|
} |
|
|
|
|
|
/** |
|
* OCTTODEC |
|
* |
|
* Return an octal value as decimal. |
|
* |
|
* Excel Function: |
|
* OCT2DEC(x) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The octal number you want to convert. Number may not contain |
|
* more than 10 octal characters (30 bits). The most significant |
|
* bit of number is the sign bit. The remaining 29 bits are |
|
* magnitude bits. Negative numbers are represented using |
|
* two's-complement notation. |
|
* If number is not a valid octal number, OCT2DEC returns the |
|
* #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function OCTTODEC($x) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
|
|
if (is_bool($x)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) $x; |
|
if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
return octdec($x); |
|
} |
|
|
|
|
|
/** |
|
* OCTTOHEX |
|
* |
|
* Return an octal value as hex. |
|
* |
|
* Excel Function: |
|
* OCT2HEX(x[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $x The octal number you want to convert. Number may not contain |
|
* more than 10 octal characters (30 bits). The most significant |
|
* bit of number is the sign bit. The remaining 29 bits are |
|
* magnitude bits. Negative numbers are represented using |
|
* two's-complement notation. |
|
* If number is negative, OCT2HEX ignores places and returns a |
|
* 10-character hexadecimal number. |
|
* If number is not a valid octal number, OCT2HEX returns the |
|
* #NUM! error value. |
|
* If OCT2HEX requires more than places characters, it returns |
|
* the #NUM! error value. |
|
* @param integer $places The number of characters to use. If places is omitted, OCT2HEX |
|
* uses the minimum number of characters necessary. Places is useful |
|
* for padding the return value with leading 0s (zeros). |
|
* If places is not an integer, it is truncated. |
|
* If places is nonnumeric, OCT2HEX returns the #VALUE! error value. |
|
* If places is negative, OCT2HEX returns the #NUM! error value. |
|
* @return string |
|
*/ |
|
public static function OCTTOHEX($x, $places = null) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
|
|
|
if (is_bool($x)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
$x = (string) $x; |
|
if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
$hexVal = strtoupper(dechex(octdec($x))); |
|
|
|
return self::nbrConversionFormat($hexVal, $places); |
|
} |
|
|
|
|
|
/** |
|
* COMPLEX |
|
* |
|
* Converts real and imaginary coefficients into a complex number of the form x + yi or x + yj. |
|
* |
|
* Excel Function: |
|
* COMPLEX(realNumber,imaginary[,places]) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param float $realNumber The real coefficient of the complex number. |
|
* @param float $imaginary The imaginary coefficient of the complex number. |
|
* @param string $suffix The suffix for the imaginary component of the complex number. |
|
* If omitted, the suffix is assumed to be "i". |
|
* @return string |
|
*/ |
|
public static function COMPLEX($realNumber = 0.0, $imaginary = 0.0, $suffix = 'i') |
|
{ |
|
$realNumber = (is_null($realNumber)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($realNumber); |
|
$imaginary = (is_null($imaginary)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($imaginary); |
|
$suffix = (is_null($suffix)) ? 'i' : PHPExcel_Calculation_Functions::flattenSingleValue($suffix); |
|
|
|
if (((is_numeric($realNumber)) && (is_numeric($imaginary))) && |
|
(($suffix == 'i') || ($suffix == 'j') || ($suffix == ''))) { |
|
$realNumber = (float) $realNumber; |
|
$imaginary = (float) $imaginary; |
|
|
|
if ($suffix == '') { |
|
$suffix = 'i'; |
|
} |
|
if ($realNumber == 0.0) { |
|
if ($imaginary == 0.0) { |
|
return (string) '0'; |
|
} elseif ($imaginary == 1.0) { |
|
return (string) $suffix; |
|
} elseif ($imaginary == -1.0) { |
|
return (string) '-'.$suffix; |
|
} |
|
return (string) $imaginary.$suffix; |
|
} elseif ($imaginary == 0.0) { |
|
return (string) $realNumber; |
|
} elseif ($imaginary == 1.0) { |
|
return (string) $realNumber.'+'.$suffix; |
|
} elseif ($imaginary == -1.0) { |
|
return (string) $realNumber.'-'.$suffix; |
|
} |
|
if ($imaginary > 0) { |
|
$imaginary = (string) '+'.$imaginary; |
|
} |
|
return (string) $realNumber.$imaginary.$suffix; |
|
} |
|
|
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
/** |
|
* IMAGINARY |
|
* |
|
* Returns the imaginary coefficient of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMAGINARY(complexNumber) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $complexNumber The complex number for which you want the imaginary |
|
* coefficient. |
|
* @return float |
|
*/ |
|
public static function IMAGINARY($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
return $parsedComplex['imaginary']; |
|
} |
|
|
|
|
|
/** |
|
* IMREAL |
|
* |
|
* Returns the real coefficient of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMREAL(complexNumber) |
|
* |
|
* @access public |
|
* @category Engineering Functions |
|
* @param string $complexNumber The complex number for which you want the real coefficient. |
|
* @return float |
|
*/ |
|
public static function IMREAL($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
return $parsedComplex['real']; |
|
} |
|
|
|
|
|
/** |
|
* IMABS |
|
* |
|
* Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMABS(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the absolute value. |
|
* @return float |
|
*/ |
|
public static function IMABS($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
return sqrt( |
|
($parsedComplex['real'] * $parsedComplex['real']) + |
|
($parsedComplex['imaginary'] * $parsedComplex['imaginary']) |
|
); |
|
} |
|
|
|
|
|
/** |
|
* IMARGUMENT |
|
* |
|
* Returns the argument theta of a complex number, i.e. the angle in radians from the real |
|
* axis to the representation of the number in polar coordinates. |
|
* |
|
* Excel Function: |
|
* IMARGUMENT(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the argument theta. |
|
* @return float |
|
*/ |
|
public static function IMARGUMENT($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if ($parsedComplex['real'] == 0.0) { |
|
if ($parsedComplex['imaginary'] == 0.0) { |
|
return 0.0; |
|
} elseif ($parsedComplex['imaginary'] < 0.0) { |
|
return M_PI / -2; |
|
} else { |
|
return M_PI / 2; |
|
} |
|
} elseif ($parsedComplex['real'] > 0.0) { |
|
return atan($parsedComplex['imaginary'] / $parsedComplex['real']); |
|
} elseif ($parsedComplex['imaginary'] < 0.0) { |
|
return 0 - (M_PI - atan(abs($parsedComplex['imaginary']) / abs($parsedComplex['real']))); |
|
} else { |
|
return M_PI - atan($parsedComplex['imaginary'] / abs($parsedComplex['real'])); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMCONJUGATE |
|
* |
|
* Returns the complex conjugate of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMCONJUGATE(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the conjugate. |
|
* @return string |
|
*/ |
|
public static function IMCONJUGATE($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if ($parsedComplex['imaginary'] == 0.0) { |
|
return $parsedComplex['real']; |
|
} else { |
|
return self::cleanComplex( |
|
self::COMPLEX( |
|
$parsedComplex['real'], |
|
0 - $parsedComplex['imaginary'], |
|
$parsedComplex['suffix'] |
|
) |
|
); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMCOS |
|
* |
|
* Returns the cosine of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMCOS(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the cosine. |
|
* @return string|float |
|
*/ |
|
public static function IMCOS($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if ($parsedComplex['imaginary'] == 0.0) { |
|
return cos($parsedComplex['real']); |
|
} else { |
|
return self::IMCONJUGATE( |
|
self::COMPLEX( |
|
cos($parsedComplex['real']) * cosh($parsedComplex['imaginary']), |
|
sin($parsedComplex['real']) * sinh($parsedComplex['imaginary']), |
|
$parsedComplex['suffix'] |
|
) |
|
); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMSIN |
|
* |
|
* Returns the sine of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMSIN(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the sine. |
|
* @return string|float |
|
*/ |
|
public static function IMSIN($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if ($parsedComplex['imaginary'] == 0.0) { |
|
return sin($parsedComplex['real']); |
|
} else { |
|
return self::COMPLEX( |
|
sin($parsedComplex['real']) * cosh($parsedComplex['imaginary']), |
|
cos($parsedComplex['real']) * sinh($parsedComplex['imaginary']), |
|
$parsedComplex['suffix'] |
|
); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMSQRT |
|
* |
|
* Returns the square root of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMSQRT(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the square root. |
|
* @return string |
|
*/ |
|
public static function IMSQRT($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
$theta = self::IMARGUMENT($complexNumber); |
|
$d1 = cos($theta / 2); |
|
$d2 = sin($theta / 2); |
|
$r = sqrt(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']))); |
|
|
|
if ($parsedComplex['suffix'] == '') { |
|
return self::COMPLEX($d1 * $r, $d2 * $r); |
|
} else { |
|
return self::COMPLEX($d1 * $r, $d2 * $r, $parsedComplex['suffix']); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMLN |
|
* |
|
* Returns the natural logarithm of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMLN(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the natural logarithm. |
|
* @return string |
|
*/ |
|
public static function IMLN($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
|
|
$logR = log(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']))); |
|
$t = self::IMARGUMENT($complexNumber); |
|
|
|
if ($parsedComplex['suffix'] == '') { |
|
return self::COMPLEX($logR, $t); |
|
} else { |
|
return self::COMPLEX($logR, $t, $parsedComplex['suffix']); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMLOG10 |
|
* |
|
* Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMLOG10(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the common logarithm. |
|
* @return string |
|
*/ |
|
public static function IMLOG10($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
|
return log10($parsedComplex['real']); |
|
} |
|
|
|
return self::IMPRODUCT(log10(EULER), self::IMLN($complexNumber)); |
|
} |
|
|
|
|
|
/** |
|
* IMLOG2 |
|
* |
|
* Returns the base-2 logarithm of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMLOG2(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the base-2 logarithm. |
|
* @return string |
|
*/ |
|
public static function IMLOG2($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
|
return log($parsedComplex['real'], 2); |
|
} |
|
|
|
return self::IMPRODUCT(log(EULER, 2), self::IMLN($complexNumber)); |
|
} |
|
|
|
|
|
/** |
|
* IMEXP |
|
* |
|
* Returns the exponential of a complex number in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMEXP(complexNumber) |
|
* |
|
* @param string $complexNumber The complex number for which you want the exponential. |
|
* @return string |
|
*/ |
|
public static function IMEXP($complexNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
|
return '1'; |
|
} |
|
|
|
$e = exp($parsedComplex['real']); |
|
$eX = $e * cos($parsedComplex['imaginary']); |
|
$eY = $e * sin($parsedComplex['imaginary']); |
|
|
|
if ($parsedComplex['suffix'] == '') { |
|
return self::COMPLEX($eX, $eY); |
|
} else { |
|
return self::COMPLEX($eX, $eY, $parsedComplex['suffix']); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMPOWER |
|
* |
|
* Returns a complex number in x + yi or x + yj text format raised to a power. |
|
* |
|
* Excel Function: |
|
* IMPOWER(complexNumber,realNumber) |
|
* |
|
* @param string $complexNumber The complex number you want to raise to a power. |
|
* @param float $realNumber The power to which you want to raise the complex number. |
|
* @return string |
|
*/ |
|
public static function IMPOWER($complexNumber, $realNumber) |
|
{ |
|
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
|
$realNumber = PHPExcel_Calculation_Functions::flattenSingleValue($realNumber); |
|
|
|
if (!is_numeric($realNumber)) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
$parsedComplex = self::parseComplex($complexNumber); |
|
|
|
$r = sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])); |
|
$rPower = pow($r, $realNumber); |
|
$theta = self::IMARGUMENT($complexNumber) * $realNumber; |
|
if ($theta == 0) { |
|
return 1; |
|
} elseif ($parsedComplex['imaginary'] == 0.0) { |
|
return self::COMPLEX($rPower * cos($theta), $rPower * sin($theta), $parsedComplex['suffix']); |
|
} else { |
|
return self::COMPLEX($rPower * cos($theta), $rPower * sin($theta), $parsedComplex['suffix']); |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMDIV |
|
* |
|
* Returns the quotient of two complex numbers in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMDIV(complexDividend,complexDivisor) |
|
* |
|
* @param string $complexDividend The complex numerator or dividend. |
|
* @param string $complexDivisor The complex denominator or divisor. |
|
* @return string |
|
*/ |
|
public static function IMDIV($complexDividend, $complexDivisor) |
|
{ |
|
$complexDividend = PHPExcel_Calculation_Functions::flattenSingleValue($complexDividend); |
|
$complexDivisor = PHPExcel_Calculation_Functions::flattenSingleValue($complexDivisor); |
|
|
|
$parsedComplexDividend = self::parseComplex($complexDividend); |
|
$parsedComplexDivisor = self::parseComplex($complexDivisor); |
|
|
|
if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] != '') && |
|
($parsedComplexDividend['suffix'] != $parsedComplexDivisor['suffix'])) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] == '')) { |
|
$parsedComplexDivisor['suffix'] = $parsedComplexDividend['suffix']; |
|
} |
|
|
|
$d1 = ($parsedComplexDividend['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['imaginary']); |
|
$d2 = ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['real']) - ($parsedComplexDividend['real'] * $parsedComplexDivisor['imaginary']); |
|
$d3 = ($parsedComplexDivisor['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDivisor['imaginary'] * $parsedComplexDivisor['imaginary']); |
|
|
|
$r = $d1 / $d3; |
|
$i = $d2 / $d3; |
|
|
|
if ($i > 0.0) { |
|
return self::cleanComplex($r.'+'.$i.$parsedComplexDivisor['suffix']); |
|
} elseif ($i < 0.0) { |
|
return self::cleanComplex($r.$i.$parsedComplexDivisor['suffix']); |
|
} else { |
|
return $r; |
|
} |
|
} |
|
|
|
|
|
/** |
|
* IMSUB |
|
* |
|
* Returns the difference of two complex numbers in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMSUB(complexNumber1,complexNumber2) |
|
* |
|
* @param string $complexNumber1 The complex number from which to subtract complexNumber2. |
|
* @param string $complexNumber2 The complex number to subtract from complexNumber1. |
|
* @return string |
|
*/ |
|
public static function IMSUB($complexNumber1, $complexNumber2) |
|
{ |
|
$complexNumber1 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber1); |
|
$complexNumber2 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber2); |
|
|
|
$parsedComplex1 = self::parseComplex($complexNumber1); |
|
$parsedComplex2 = self::parseComplex($complexNumber2); |
|
|
|
if ((($parsedComplex1['suffix'] != '') && ($parsedComplex2['suffix'] != '')) && |
|
($parsedComplex1['suffix'] != $parsedComplex2['suffix'])) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} elseif (($parsedComplex1['suffix'] == '') && ($parsedComplex2['suffix'] != '')) { |
|
$parsedComplex1['suffix'] = $parsedComplex2['suffix']; |
|
} |
|
|
|
$d1 = $parsedComplex1['real'] - $parsedComplex2['real']; |
|
$d2 = $parsedComplex1['imaginary'] - $parsedComplex2['imaginary']; |
|
|
|
return self::COMPLEX($d1, $d2, $parsedComplex1['suffix']); |
|
} |
|
|
|
|
|
/** |
|
* IMSUM |
|
* |
|
* Returns the sum of two or more complex numbers in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMSUM(complexNumber[,complexNumber[,...]]) |
|
* |
|
* @param string $complexNumber,... Series of complex numbers to add |
|
* @return string |
|
*/ |
|
public static function IMSUM() |
|
{ |
|
// Return value |
|
$returnValue = self::parseComplex('0'); |
|
$activeSuffix = ''; |
|
|
|
// Loop through the arguments |
|
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args()); |
|
foreach ($aArgs as $arg) { |
|
$parsedComplex = self::parseComplex($arg); |
|
|
|
if ($activeSuffix == '') { |
|
$activeSuffix = $parsedComplex['suffix']; |
|
} elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) { |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
$returnValue['real'] += $parsedComplex['real']; |
|
$returnValue['imaginary'] += $parsedComplex['imaginary']; |
|
} |
|
|
|
if ($returnValue['imaginary'] == 0.0) { |
|
$activeSuffix = ''; |
|
} |
|
return self::COMPLEX($returnValue['real'], $returnValue['imaginary'], $activeSuffix); |
|
} |
|
|
|
|
|
/** |
|
* IMPRODUCT |
|
* |
|
* Returns the product of two or more complex numbers in x + yi or x + yj text format. |
|
* |
|
* Excel Function: |
|
* IMPRODUCT(complexNumber[,complexNumber[,...]]) |
|
* |
|
* @param string $complexNumber,... Series of complex numbers to multiply |
|
* @return string |
|
*/ |
|
public static function IMPRODUCT() |
|
{ |
|
// Return value |
|
$returnValue = self::parseComplex('1'); |
|
$activeSuffix = ''; |
|
|
|
// Loop through the arguments |
|
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args()); |
|
foreach ($aArgs as $arg) { |
|
$parsedComplex = self::parseComplex($arg); |
|
|
|
$workValue = $returnValue; |
|
if (($parsedComplex['suffix'] != '') && ($activeSuffix == '')) { |
|
$activeSuffix = $parsedComplex['suffix']; |
|
} elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) { |
|
return PHPExcel_Calculation_Functions::NaN(); |
|
} |
|
$returnValue['real'] = ($workValue['real'] * $parsedComplex['real']) - ($workValue['imaginary'] * $parsedComplex['imaginary']); |
|
$returnValue['imaginary'] = ($workValue['real'] * $parsedComplex['imaginary']) + ($workValue['imaginary'] * $parsedComplex['real']); |
|
} |
|
|
|
if ($returnValue['imaginary'] == 0.0) { |
|
$activeSuffix = ''; |
|
} |
|
return self::COMPLEX($returnValue['real'], $returnValue['imaginary'], $activeSuffix); |
|
} |
|
|
|
|
|
/** |
|
* DELTA |
|
* |
|
* Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise. |
|
* Use this function to filter a set of values. For example, by summing several DELTA |
|
* functions you calculate the count of equal pairs. This function is also known as the |
|
* Kronecker Delta function. |
|
* |
|
* Excel Function: |
|
* DELTA(a[,b]) |
|
* |
|
* @param float $a The first number. |
|
* @param float $b The second number. If omitted, b is assumed to be zero. |
|
* @return int |
|
*/ |
|
public static function DELTA($a, $b = 0) |
|
{ |
|
$a = PHPExcel_Calculation_Functions::flattenSingleValue($a); |
|
$b = PHPExcel_Calculation_Functions::flattenSingleValue($b); |
|
|
|
return (int) ($a == $b); |
|
} |
|
|
|
|
|
/** |
|
* GESTEP |
|
* |
|
* Excel Function: |
|
* GESTEP(number[,step]) |
|
* |
|
* Returns 1 if number >= step; returns 0 (zero) otherwise |
|
* Use this function to filter a set of values. For example, by summing several GESTEP |
|
* functions you calculate the count of values that exceed a threshold. |
|
* |
|
* @param float $number The value to test against step. |
|
* @param float $step The threshold value. |
|
* If you omit a value for step, GESTEP uses zero. |
|
* @return int |
|
*/ |
|
public static function GESTEP($number, $step = 0) |
|
{ |
|
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
|
$step = PHPExcel_Calculation_Functions::flattenSingleValue($step); |
|
|
|
return (int) ($number >= $step); |
|
} |
|
|
|
|
|
// |
|
// Private method to calculate the erf value |
|
// |
|
private static $twoSqrtPi = 1.128379167095512574; |
|
|
|
public static function erfVal($x) |
|
{ |
|
if (abs($x) > 2.2) { |
|
return 1 - self::erfcVal($x); |
|
} |
|
$sum = $term = $x; |
|
$xsqr = ($x * $x); |
|
$j = 1; |
|
do { |
|
$term *= $xsqr / $j; |
|
$sum -= $term / (2 * $j + 1); |
|
++$j; |
|
$term *= $xsqr / $j; |
|
$sum += $term / (2 * $j + 1); |
|
++$j; |
|
if ($sum == 0.0) { |
|
break; |
|
} |
|
} while (abs($term / $sum) > PRECISION); |
|
return self::$twoSqrtPi * $sum; |
|
} |
|
|
|
|
|
/** |
|
* ERF |
|
* |
|
* Returns the error function integrated between the lower and upper bound arguments. |
|
* |
|
* Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments, |
|
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was |
|
* improved, so that it can now calculate the function for both positive and negative ranges. |
|
* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments. |
|
* |
|
* Excel Function: |
|
* ERF(lower[,upper]) |
|
* |
|
* @param float $lower lower bound for integrating ERF |
|
* @param float $upper upper bound for integrating ERF. |
|
* If omitted, ERF integrates between zero and lower_limit |
|
* @return float |
|
*/ |
|
public static function ERF($lower, $upper = null) |
|
{ |
|
$lower = PHPExcel_Calculation_Functions::flattenSingleValue($lower); |
|
$upper = PHPExcel_Calculation_Functions::flattenSingleValue($upper); |
|
|
|
if (is_numeric($lower)) { |
|
if (is_null($upper)) { |
|
return self::erfVal($lower); |
|
} |
|
if (is_numeric($upper)) { |
|
return self::erfVal($upper) - self::erfVal($lower); |
|
} |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
// |
|
// Private method to calculate the erfc value |
|
// |
|
private static $oneSqrtPi = 0.564189583547756287; |
|
|
|
private static function erfcVal($x) |
|
{ |
|
if (abs($x) < 2.2) { |
|
return 1 - self::erfVal($x); |
|
} |
|
if ($x < 0) { |
|
return 2 - self::ERFC(-$x); |
|
} |
|
$a = $n = 1; |
|
$b = $c = $x; |
|
$d = ($x * $x) + 0.5; |
|
$q1 = $q2 = $b / $d; |
|
$t = 0; |
|
do { |
|
$t = $a * $n + $b * $x; |
|
$a = $b; |
|
$b = $t; |
|
$t = $c * $n + $d * $x; |
|
$c = $d; |
|
$d = $t; |
|
$n += 0.5; |
|
$q1 = $q2; |
|
$q2 = $b / $d; |
|
} while ((abs($q1 - $q2) / $q2) > PRECISION); |
|
return self::$oneSqrtPi * exp(-$x * $x) * $q2; |
|
} |
|
|
|
|
|
/** |
|
* ERFC |
|
* |
|
* Returns the complementary ERF function integrated between x and infinity |
|
* |
|
* Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument, |
|
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was |
|
* improved, so that it can now calculate the function for both positive and negative x values. |
|
* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments. |
|
* |
|
* Excel Function: |
|
* ERFC(x) |
|
* |
|
* @param float $x The lower bound for integrating ERFC |
|
* @return float |
|
*/ |
|
public static function ERFC($x) |
|
{ |
|
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
|
|
|
if (is_numeric($x)) { |
|
return self::erfcVal($x); |
|
} |
|
return PHPExcel_Calculation_Functions::VALUE(); |
|
} |
|
|
|
|
|
/** |
|
* getConversionGroups |
|
* Returns a list of the different conversion groups for UOM conversions |
|
* |
|
* @return array |
|
*/ |
|
public static function getConversionGroups() |
|
{ |
|
$conversionGroups = array(); |
|
foreach (self::$conversionUnits as $conversionUnit) { |
|
$conversionGroups[] = $conversionUnit['Group']; |
|
} |
|
return array_merge(array_unique($conversionGroups)); |
|
} |
|
|
|
|
|
/** |
|
* getConversionGroupUnits |
|
* Returns an array of units of measure, for a specified conversion group, or for all groups |
|
* |
|
* @param string $group The group whose units of measure you want to retrieve |
|
* @return array |
|
*/ |
|
public static function getConversionGroupUnits($group = null) |
|
{ |
|
$conversionGroups = array(); |
|
foreach (self::$conversionUnits as $conversionUnit => $conversionGroup) { |
|
if ((is_null($group)) || ($conversionGroup['Group'] == $group)) { |
|
$conversionGroups[$conversionGroup['Group']][] = $conversionUnit; |
|
} |
|
} |
|
return $conversionGroups; |
|
} |
|
|
|
|
|
/** |
|
* getConversionGroupUnitDetails |
|
* |
|
* @param string $group The group whose units of measure you want to retrieve |
|
* @return array |
|
*/ |
|
public static function getConversionGroupUnitDetails($group = null) |
|
{ |
|
$conversionGroups = array(); |
|
foreach (self::$conversionUnits as $conversionUnit => $conversionGroup) { |
|
if ((is_null($group)) || ($conversionGroup['Group'] == $group)) { |
|
$conversionGroups[$conversionGroup['Group']][] = array( |
|
'unit' => $conversionUnit, |
|
'description' => $conversionGroup['Unit Name'] |
|
); |
|
} |
|
} |
|
return $conversionGroups; |
|
} |
|
|
|
|
|
/** |
|
* getConversionMultipliers |
|
* Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() |
|
* |
|
* @return array of mixed |
|
*/ |
|
public static function getConversionMultipliers() |
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{ |
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return self::$conversionMultipliers; |
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} |
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|
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/** |
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* CONVERTUOM |
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* |
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* Converts a number from one measurement system to another. |
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* For example, CONVERT can translate a table of distances in miles to a table of distances |
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* in kilometers. |
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* |
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* Excel Function: |
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* CONVERT(value,fromUOM,toUOM) |
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* |
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* @param float $value The value in fromUOM to convert. |
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* @param string $fromUOM The units for value. |
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* @param string $toUOM The units for the result. |
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* |
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* @return float |
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*/ |
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public static function CONVERTUOM($value, $fromUOM, $toUOM) |
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{ |
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$value = PHPExcel_Calculation_Functions::flattenSingleValue($value); |
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$fromUOM = PHPExcel_Calculation_Functions::flattenSingleValue($fromUOM); |
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$toUOM = PHPExcel_Calculation_Functions::flattenSingleValue($toUOM); |
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if (!is_numeric($value)) { |
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return PHPExcel_Calculation_Functions::VALUE(); |
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} |
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$fromMultiplier = 1.0; |
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if (isset(self::$conversionUnits[$fromUOM])) { |
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$unitGroup1 = self::$conversionUnits[$fromUOM]['Group']; |
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} else { |
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$fromMultiplier = substr($fromUOM, 0, 1); |
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$fromUOM = substr($fromUOM, 1); |
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if (isset(self::$conversionMultipliers[$fromMultiplier])) { |
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$fromMultiplier = self::$conversionMultipliers[$fromMultiplier]['multiplier']; |
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} else { |
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return PHPExcel_Calculation_Functions::NA(); |
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} |
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if ((isset(self::$conversionUnits[$fromUOM])) && (self::$conversionUnits[$fromUOM]['AllowPrefix'])) { |
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$unitGroup1 = self::$conversionUnits[$fromUOM]['Group']; |
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} else { |
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return PHPExcel_Calculation_Functions::NA(); |
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} |
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} |
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$value *= $fromMultiplier; |
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$toMultiplier = 1.0; |
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if (isset(self::$conversionUnits[$toUOM])) { |
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$unitGroup2 = self::$conversionUnits[$toUOM]['Group']; |
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} else { |
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$toMultiplier = substr($toUOM, 0, 1); |
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$toUOM = substr($toUOM, 1); |
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if (isset(self::$conversionMultipliers[$toMultiplier])) { |
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$toMultiplier = self::$conversionMultipliers[$toMultiplier]['multiplier']; |
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} else { |
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return PHPExcel_Calculation_Functions::NA(); |
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} |
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if ((isset(self::$conversionUnits[$toUOM])) && (self::$conversionUnits[$toUOM]['AllowPrefix'])) { |
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$unitGroup2 = self::$conversionUnits[$toUOM]['Group']; |
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} else { |
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return PHPExcel_Calculation_Functions::NA(); |
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} |
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} |
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if ($unitGroup1 != $unitGroup2) { |
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return PHPExcel_Calculation_Functions::NA(); |
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} |
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if (($fromUOM == $toUOM) && ($fromMultiplier == $toMultiplier)) { |
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// We've already factored $fromMultiplier into the value, so we need |
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// to reverse it again |
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return $value / $fromMultiplier; |
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} elseif ($unitGroup1 == 'Temperature') { |
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if (($fromUOM == 'F') || ($fromUOM == 'fah')) { |
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if (($toUOM == 'F') || ($toUOM == 'fah')) { |
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return $value; |
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} else { |
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$value = (($value - 32) / 1.8); |
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if (($toUOM == 'K') || ($toUOM == 'kel')) { |
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$value += 273.15; |
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} |
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return $value; |
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} |
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} elseif ((($fromUOM == 'K') || ($fromUOM == 'kel')) && |
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(($toUOM == 'K') || ($toUOM == 'kel'))) { |
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return $value; |
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} elseif ((($fromUOM == 'C') || ($fromUOM == 'cel')) && |
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(($toUOM == 'C') || ($toUOM == 'cel'))) { |
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return $value; |
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} |
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if (($toUOM == 'F') || ($toUOM == 'fah')) { |
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if (($fromUOM == 'K') || ($fromUOM == 'kel')) { |
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$value -= 273.15; |
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} |
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return ($value * 1.8) + 32; |
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} |
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if (($toUOM == 'C') || ($toUOM == 'cel')) { |
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return $value - 273.15; |
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} |
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return $value + 273.15; |
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} |
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return ($value * self::$unitConversions[$unitGroup1][$fromUOM][$toUOM]) / $toMultiplier; |
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} |
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}
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