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<?php |
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/** |
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* PHPExcel |
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* |
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* Copyright (c) 2006 - 2014 PHPExcel |
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* |
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* This library is free software; you can redistribute it and/or |
| 8 |
* modify it under the terms of the GNU Lesser General Public |
| 9 |
* 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 |
| 14 |
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 15 |
* 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 |
| 19 |
* 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 - 2014 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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|
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|
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/** PHPExcel root directory */ |
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if (!defined('PHPEXCEL_ROOT')) { |
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/** |
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* @ignore |
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*/ |
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define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../'); |
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require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php'); |
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} |
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|
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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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/** |
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* PHPExcel_Calculation_Engineering |
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* |
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* @category PHPExcel |
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* @package PHPExcel_Calculation |
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* @copyright Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel) |
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*/ |
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class PHPExcel_Calculation_Engineering { |
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|
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/** |
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* Details of the Units of measure that can be used in CONVERTUOM() |
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* |
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* @var mixed[] |
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*/ |
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private static $_conversionUnits = array( 'g' => array( 'Group' => 'Mass', 'Unit Name' => 'Gram', 'AllowPrefix' => True ), |
| 58 |
'sg' => array( 'Group' => 'Mass', 'Unit Name' => 'Slug', 'AllowPrefix' => False ), |
| 59 |
'lbm' => array( 'Group' => 'Mass', 'Unit Name' => 'Pound mass (avoirdupois)', 'AllowPrefix' => False ), |
| 60 |
'u' => array( 'Group' => 'Mass', 'Unit Name' => 'U (atomic mass unit)', 'AllowPrefix' => True ), |
| 61 |
'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 ), |
| 69 |
'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 ), |
| 71 |
'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 ), |
| 75 |
'Pa' => array( 'Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => True ), |
| 76 |
'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 ), |
| 90 |
'HPh' => array( 'Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => False ), |
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'hh' => array( 'Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => False ), |
| 92 |
'Wh' => array( 'Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => True ), |
| 93 |
'wh' => array( 'Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => True ), |
| 94 |
'flb' => array( 'Group' => 'Energy', 'Unit Name' => 'Foot-pound', 'AllowPrefix' => False ), |
| 95 |
'BTU' => array( 'Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => False ), |
| 96 |
'btu' => array( 'Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => False ), |
| 97 |
'HP' => array( 'Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => False ), |
| 98 |
'h' => array( 'Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => False ), |
| 99 |
'W' => array( 'Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => True ), |
| 100 |
'w' => array( 'Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => True ), |
| 101 |
'T' => array( 'Group' => 'Magnetism', 'Unit Name' => 'Tesla', 'AllowPrefix' => True ), |
| 102 |
'ga' => array( 'Group' => 'Magnetism', 'Unit Name' => 'Gauss', 'AllowPrefix' => True ), |
| 103 |
'C' => array( 'Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => False ), |
| 104 |
'cel' => array( 'Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => False ), |
| 105 |
'F' => array( 'Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => False ), |
| 106 |
'fah' => array( 'Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => False ), |
| 107 |
'K' => array( 'Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => False ), |
| 108 |
'kel' => array( 'Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => False ), |
| 109 |
'tsp' => array( 'Group' => 'Liquid', 'Unit Name' => 'Teaspoon', 'AllowPrefix' => False ), |
| 110 |
'tbs' => array( 'Group' => 'Liquid', 'Unit Name' => 'Tablespoon', 'AllowPrefix' => False ), |
| 111 |
'oz' => array( 'Group' => 'Liquid', 'Unit Name' => 'Fluid Ounce', 'AllowPrefix' => False ), |
| 112 |
'cup' => array( 'Group' => 'Liquid', 'Unit Name' => 'Cup', 'AllowPrefix' => False ), |
| 113 |
'pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => False ), |
| 114 |
'us_pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => False ), |
| 115 |
'uk_pt' => array( 'Group' => 'Liquid', 'Unit Name' => 'U.K. Pint', 'AllowPrefix' => False ), |
| 116 |
'qt' => array( 'Group' => 'Liquid', 'Unit Name' => 'Quart', 'AllowPrefix' => False ), |
| 117 |
'gal' => array( 'Group' => 'Liquid', 'Unit Name' => 'Gallon', 'AllowPrefix' => False ), |
| 118 |
'l' => array( 'Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => True ), |
| 119 |
'lt' => array( 'Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => True ) |
| 120 |
); |
| 121 |
|
| 122 |
/** |
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* Details of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() |
| 124 |
* |
| 125 |
* @var mixed[] |
| 126 |
*/ |
| 127 |
private static $_conversionMultipliers = array( 'Y' => array( 'multiplier' => 1E24, 'name' => 'yotta' ), |
| 128 |
'Z' => array( 'multiplier' => 1E21, 'name' => 'zetta' ), |
| 129 |
'E' => array( 'multiplier' => 1E18, 'name' => 'exa' ), |
| 130 |
'P' => array( 'multiplier' => 1E15, 'name' => 'peta' ), |
| 131 |
'T' => array( 'multiplier' => 1E12, 'name' => 'tera' ), |
| 132 |
'G' => array( 'multiplier' => 1E9, 'name' => 'giga' ), |
| 133 |
'M' => array( 'multiplier' => 1E6, 'name' => 'mega' ), |
| 134 |
'k' => array( 'multiplier' => 1E3, 'name' => 'kilo' ), |
| 135 |
'h' => array( 'multiplier' => 1E2, 'name' => 'hecto' ), |
| 136 |
'e' => array( 'multiplier' => 1E1, 'name' => 'deka' ), |
| 137 |
'd' => array( 'multiplier' => 1E-1, 'name' => 'deci' ), |
| 138 |
'c' => array( 'multiplier' => 1E-2, 'name' => 'centi' ), |
| 139 |
'm' => array( 'multiplier' => 1E-3, 'name' => 'milli' ), |
| 140 |
'u' => array( 'multiplier' => 1E-6, 'name' => 'micro' ), |
| 141 |
'n' => array( 'multiplier' => 1E-9, 'name' => 'nano' ), |
| 142 |
'p' => array( 'multiplier' => 1E-12, 'name' => 'pico' ), |
| 143 |
'f' => array( 'multiplier' => 1E-15, 'name' => 'femto' ), |
| 144 |
'a' => array( 'multiplier' => 1E-18, 'name' => 'atto' ), |
| 145 |
'z' => array( 'multiplier' => 1E-21, 'name' => 'zepto' ), |
| 146 |
'y' => array( 'multiplier' => 1E-24, 'name' => 'yocto' ) |
| 147 |
); |
| 148 |
|
| 149 |
/** |
| 150 |
* Details of the Units of measure conversion factors, organised by group |
| 151 |
* |
| 152 |
* @var mixed[] |
| 153 |
*/ |
| 154 |
private static $_unitConversions = array( 'Mass' => array( 'g' => array( 'g' => 1.0, |
| 155 |
'sg' => 6.85220500053478E-05, |
| 156 |
'lbm' => 2.20462291469134E-03, |
| 157 |
'u' => 6.02217000000000E+23, |
| 158 |
'ozm' => 3.52739718003627E-02 |
| 159 |
), |
| 160 |
'sg' => array( 'g' => 1.45938424189287E+04, |
| 161 |
'sg' => 1.0, |
| 162 |
'lbm' => 3.21739194101647E+01, |
| 163 |
'u' => 8.78866000000000E+27, |
| 164 |
'ozm' => 5.14782785944229E+02 |
| 165 |
), |
| 166 |
'lbm' => array( 'g' => 4.5359230974881148E+02, |
| 167 |
'sg' => 3.10810749306493E-02, |
| 168 |
'lbm' => 1.0, |
| 169 |
'u' => 2.73161000000000E+26, |
| 170 |
'ozm' => 1.60000023429410E+01 |
| 171 |
), |
| 172 |
'u' => array( 'g' => 1.66053100460465E-24, |
| 173 |
'sg' => 1.13782988532950E-28, |
| 174 |
'lbm' => 3.66084470330684E-27, |
| 175 |
'u' => 1.0, |
| 176 |
'ozm' => 5.85735238300524E-26 |
| 177 |
), |
| 178 |
'ozm' => array( 'g' => 2.83495152079732E+01, |
| 179 |
'sg' => 1.94256689870811E-03, |
| 180 |
'lbm' => 6.24999908478882E-02, |
| 181 |
'u' => 1.70725600000000E+25, |
| 182 |
'ozm' => 1.0 |
| 183 |
) |
| 184 |
), |
| 185 |
'Distance' => array( 'm' => array( 'm' => 1.0, |
| 186 |
'mi' => 6.21371192237334E-04, |
| 187 |
'Nmi' => 5.39956803455724E-04, |
| 188 |
'in' => 3.93700787401575E+01, |
| 189 |
'ft' => 3.28083989501312E+00, |
| 190 |
'yd' => 1.09361329797891E+00, |
| 191 |
'ang' => 1.00000000000000E+10, |
| 192 |
'Pica' => 2.83464566929116E+03 |
| 193 |
), |
| 194 |
'mi' => array( 'm' => 1.60934400000000E+03, |
| 195 |
'mi' => 1.0, |
| 196 |
'Nmi' => 8.68976241900648E-01, |
| 197 |
'in' => 6.33600000000000E+04, |
| 198 |
'ft' => 5.28000000000000E+03, |
| 199 |
'yd' => 1.76000000000000E+03, |
| 200 |
'ang' => 1.60934400000000E+13, |
| 201 |
'Pica' => 4.56191999999971E+06 |
| 202 |
), |
| 203 |
'Nmi' => array( 'm' => 1.85200000000000E+03, |
| 204 |
'mi' => 1.15077944802354E+00, |
| 205 |
'Nmi' => 1.0, |
| 206 |
'in' => 7.29133858267717E+04, |
| 207 |
'ft' => 6.07611548556430E+03, |
| 208 |
'yd' => 2.02537182785694E+03, |
| 209 |
'ang' => 1.85200000000000E+13, |
| 210 |
'Pica' => 5.24976377952723E+06 |
| 211 |
), |
| 212 |
'in' => array( 'm' => 2.54000000000000E-02, |
| 213 |
'mi' => 1.57828282828283E-05, |
| 214 |
'Nmi' => 1.37149028077754E-05, |
| 215 |
'in' => 1.0, |
| 216 |
'ft' => 8.33333333333333E-02, |
| 217 |
'yd' => 2.77777777686643E-02, |
| 218 |
'ang' => 2.54000000000000E+08, |
| 219 |
'Pica' => 7.19999999999955E+01 |
| 220 |
), |
| 221 |
'ft' => array( 'm' => 3.04800000000000E-01, |
| 222 |
'mi' => 1.89393939393939E-04, |
| 223 |
'Nmi' => 1.64578833693305E-04, |
| 224 |
'in' => 1.20000000000000E+01, |
| 225 |
'ft' => 1.0, |
| 226 |
'yd' => 3.33333333223972E-01, |
| 227 |
'ang' => 3.04800000000000E+09, |
| 228 |
'Pica' => 8.63999999999946E+02 |
| 229 |
), |
| 230 |
'yd' => array( 'm' => 9.14400000300000E-01, |
| 231 |
'mi' => 5.68181818368230E-04, |
| 232 |
'Nmi' => 4.93736501241901E-04, |
| 233 |
'in' => 3.60000000118110E+01, |
| 234 |
'ft' => 3.00000000000000E+00, |
| 235 |
'yd' => 1.0, |
| 236 |
'ang' => 9.14400000300000E+09, |
| 237 |
'Pica' => 2.59200000085023E+03 |
| 238 |
), |
| 239 |
'ang' => array( 'm' => 1.00000000000000E-10, |
| 240 |
'mi' => 6.21371192237334E-14, |
| 241 |
'Nmi' => 5.39956803455724E-14, |
| 242 |
'in' => 3.93700787401575E-09, |
| 243 |
'ft' => 3.28083989501312E-10, |
| 244 |
'yd' => 1.09361329797891E-10, |
| 245 |
'ang' => 1.0, |
| 246 |
'Pica' => 2.83464566929116E-07 |
| 247 |
), |
| 248 |
'Pica' => array( 'm' => 3.52777777777800E-04, |
| 249 |
'mi' => 2.19205948372629E-07, |
| 250 |
'Nmi' => 1.90484761219114E-07, |
| 251 |
'in' => 1.38888888888898E-02, |
| 252 |
'ft' => 1.15740740740748E-03, |
| 253 |
'yd' => 3.85802469009251E-04, |
| 254 |
'ang' => 3.52777777777800E+06, |
| 255 |
'Pica' => 1.0 |
| 256 |
) |
| 257 |
), |
| 258 |
'Time' => array( 'yr' => array( 'yr' => 1.0, |
| 259 |
'day' => 365.25, |
| 260 |
'hr' => 8766.0, |
| 261 |
'mn' => 525960.0, |
| 262 |
'sec' => 31557600.0 |
| 263 |
), |
| 264 |
'day' => array( 'yr' => 2.73785078713210E-03, |
| 265 |
'day' => 1.0, |
| 266 |
'hr' => 24.0, |
| 267 |
'mn' => 1440.0, |
| 268 |
'sec' => 86400.0 |
| 269 |
), |
| 270 |
'hr' => array( 'yr' => 1.14077116130504E-04, |
| 271 |
'day' => 4.16666666666667E-02, |
| 272 |
'hr' => 1.0, |
| 273 |
'mn' => 60.0, |
| 274 |
'sec' => 3600.0 |
| 275 |
), |
| 276 |
'mn' => array( 'yr' => 1.90128526884174E-06, |
| 277 |
'day' => 6.94444444444444E-04, |
| 278 |
'hr' => 1.66666666666667E-02, |
| 279 |
'mn' => 1.0, |
| 280 |
'sec' => 60.0 |
| 281 |
), |
| 282 |
'sec' => array( 'yr' => 3.16880878140289E-08, |
| 283 |
'day' => 1.15740740740741E-05, |
| 284 |
'hr' => 2.77777777777778E-04, |
| 285 |
'mn' => 1.66666666666667E-02, |
| 286 |
'sec' => 1.0 |
| 287 |
) |
| 288 |
), |
| 289 |
'Pressure' => array( 'Pa' => array( 'Pa' => 1.0, |
| 290 |
'p' => 1.0, |
| 291 |
'atm' => 9.86923299998193E-06, |
| 292 |
'at' => 9.86923299998193E-06, |
| 293 |
'mmHg' => 7.50061707998627E-03 |
| 294 |
), |
| 295 |
'p' => array( 'Pa' => 1.0, |
| 296 |
'p' => 1.0, |
| 297 |
'atm' => 9.86923299998193E-06, |
| 298 |
'at' => 9.86923299998193E-06, |
| 299 |
'mmHg' => 7.50061707998627E-03 |
| 300 |
), |
| 301 |
'atm' => array( 'Pa' => 1.01324996583000E+05, |
| 302 |
'p' => 1.01324996583000E+05, |
| 303 |
'atm' => 1.0, |
| 304 |
'at' => 1.0, |
| 305 |
'mmHg' => 760.0 |
| 306 |
), |
| 307 |
'at' => array( 'Pa' => 1.01324996583000E+05, |
| 308 |
'p' => 1.01324996583000E+05, |
| 309 |
'atm' => 1.0, |
| 310 |
'at' => 1.0, |
| 311 |
'mmHg' => 760.0 |
| 312 |
), |
| 313 |
'mmHg' => array( 'Pa' => 1.33322363925000E+02, |
| 314 |
'p' => 1.33322363925000E+02, |
| 315 |
'atm' => 1.31578947368421E-03, |
| 316 |
'at' => 1.31578947368421E-03, |
| 317 |
'mmHg' => 1.0 |
| 318 |
) |
| 319 |
), |
| 320 |
'Force' => array( 'N' => array( 'N' => 1.0, |
| 321 |
'dyn' => 1.0E+5, |
| 322 |
'dy' => 1.0E+5, |
| 323 |
'lbf' => 2.24808923655339E-01 |
| 324 |
), |
| 325 |
'dyn' => array( 'N' => 1.0E-5, |
| 326 |
'dyn' => 1.0, |
| 327 |
'dy' => 1.0, |
| 328 |
'lbf' => 2.24808923655339E-06 |
| 329 |
), |
| 330 |
'dy' => array( 'N' => 1.0E-5, |
| 331 |
'dyn' => 1.0, |
| 332 |
'dy' => 1.0, |
| 333 |
'lbf' => 2.24808923655339E-06 |
| 334 |
), |
| 335 |
'lbf' => array( 'N' => 4.448222, |
| 336 |
'dyn' => 4.448222E+5, |
| 337 |
'dy' => 4.448222E+5, |
| 338 |
'lbf' => 1.0 |
| 339 |
) |
| 340 |
), |
| 341 |
'Energy' => array( 'J' => array( 'J' => 1.0, |
| 342 |
'e' => 9.99999519343231E+06, |
| 343 |
'c' => 2.39006249473467E-01, |
| 344 |
'cal' => 2.38846190642017E-01, |
| 345 |
'eV' => 6.24145700000000E+18, |
| 346 |
'ev' => 6.24145700000000E+18, |
| 347 |
'HPh' => 3.72506430801000E-07, |
| 348 |
'hh' => 3.72506430801000E-07, |
| 349 |
'Wh' => 2.77777916238711E-04, |
| 350 |
'wh' => 2.77777916238711E-04, |
| 351 |
'flb' => 2.37304222192651E+01, |
| 352 |
'BTU' => 9.47815067349015E-04, |
| 353 |
'btu' => 9.47815067349015E-04 |
| 354 |
), |
| 355 |
'e' => array( 'J' => 1.00000048065700E-07, |
| 356 |
'e' => 1.0, |
| 357 |
'c' => 2.39006364353494E-08, |
| 358 |
'cal' => 2.38846305445111E-08, |
| 359 |
'eV' => 6.24146000000000E+11, |
| 360 |
'ev' => 6.24146000000000E+11, |
| 361 |
'HPh' => 3.72506609848824E-14, |
| 362 |
'hh' => 3.72506609848824E-14, |
| 363 |
'Wh' => 2.77778049754611E-11, |
| 364 |
'wh' => 2.77778049754611E-11, |
| 365 |
'flb' => 2.37304336254586E-06, |
| 366 |
'BTU' => 9.47815522922962E-11, |
| 367 |
'btu' => 9.47815522922962E-11 |
| 368 |
), |
| 369 |
'c' => array( 'J' => 4.18399101363672E+00, |
| 370 |
'e' => 4.18398900257312E+07, |
| 371 |
'c' => 1.0, |
| 372 |
'cal' => 9.99330315287563E-01, |
| 373 |
'eV' => 2.61142000000000E+19, |
| 374 |
'ev' => 2.61142000000000E+19, |
| 375 |
'HPh' => 1.55856355899327E-06, |
| 376 |
'hh' => 1.55856355899327E-06, |
| 377 |
'Wh' => 1.16222030532950E-03, |
| 378 |
'wh' => 1.16222030532950E-03, |
| 379 |
'flb' => 9.92878733152102E+01, |
| 380 |
'BTU' => 3.96564972437776E-03, |
| 381 |
'btu' => 3.96564972437776E-03 |
| 382 |
), |
| 383 |
'cal' => array( 'J' => 4.18679484613929E+00, |
| 384 |
'e' => 4.18679283372801E+07, |
| 385 |
'c' => 1.00067013349059E+00, |
| 386 |
'cal' => 1.0, |
| 387 |
'eV' => 2.61317000000000E+19, |
| 388 |
'ev' => 2.61317000000000E+19, |
| 389 |
'HPh' => 1.55960800463137E-06, |
| 390 |
'hh' => 1.55960800463137E-06, |
| 391 |
'Wh' => 1.16299914807955E-03, |
| 392 |
'wh' => 1.16299914807955E-03, |
| 393 |
'flb' => 9.93544094443283E+01, |
| 394 |
'BTU' => 3.96830723907002E-03, |
| 395 |
'btu' => 3.96830723907002E-03 |
| 396 |
), |
| 397 |
'eV' => array( 'J' => 1.60219000146921E-19, |
| 398 |
'e' => 1.60218923136574E-12, |
| 399 |
'c' => 3.82933423195043E-20, |
| 400 |
'cal' => 3.82676978535648E-20, |
| 401 |
'eV' => 1.0, |
| 402 |
'ev' => 1.0, |
| 403 |
'HPh' => 5.96826078912344E-26, |
| 404 |
'hh' => 5.96826078912344E-26, |
| 405 |
'Wh' => 4.45053000026614E-23, |
| 406 |
'wh' => 4.45053000026614E-23, |
| 407 |
'flb' => 3.80206452103492E-18, |
| 408 |
'BTU' => 1.51857982414846E-22, |
| 409 |
'btu' => 1.51857982414846E-22 |
| 410 |
), |
| 411 |
'ev' => array( 'J' => 1.60219000146921E-19, |
| 412 |
'e' => 1.60218923136574E-12, |
| 413 |
'c' => 3.82933423195043E-20, |
| 414 |
'cal' => 3.82676978535648E-20, |
| 415 |
'eV' => 1.0, |
| 416 |
'ev' => 1.0, |
| 417 |
'HPh' => 5.96826078912344E-26, |
| 418 |
'hh' => 5.96826078912344E-26, |
| 419 |
'Wh' => 4.45053000026614E-23, |
| 420 |
'wh' => 4.45053000026614E-23, |
| 421 |
'flb' => 3.80206452103492E-18, |
| 422 |
'BTU' => 1.51857982414846E-22, |
| 423 |
'btu' => 1.51857982414846E-22 |
| 424 |
), |
| 425 |
'HPh' => array( 'J' => 2.68451741316170E+06, |
| 426 |
'e' => 2.68451612283024E+13, |
| 427 |
'c' => 6.41616438565991E+05, |
| 428 |
'cal' => 6.41186757845835E+05, |
| 429 |
'eV' => 1.67553000000000E+25, |
| 430 |
'ev' => 1.67553000000000E+25, |
| 431 |
'HPh' => 1.0, |
| 432 |
'hh' => 1.0, |
| 433 |
'Wh' => 7.45699653134593E+02, |
| 434 |
'wh' => 7.45699653134593E+02, |
| 435 |
'flb' => 6.37047316692964E+07, |
| 436 |
'BTU' => 2.54442605275546E+03, |
| 437 |
'btu' => 2.54442605275546E+03 |
| 438 |
), |
| 439 |
'hh' => array( 'J' => 2.68451741316170E+06, |
| 440 |
'e' => 2.68451612283024E+13, |
| 441 |
'c' => 6.41616438565991E+05, |
| 442 |
'cal' => 6.41186757845835E+05, |
| 443 |
'eV' => 1.67553000000000E+25, |
| 444 |
'ev' => 1.67553000000000E+25, |
| 445 |
'HPh' => 1.0, |
| 446 |
'hh' => 1.0, |
| 447 |
'Wh' => 7.45699653134593E+02, |
| 448 |
'wh' => 7.45699653134593E+02, |
| 449 |
'flb' => 6.37047316692964E+07, |
| 450 |
'BTU' => 2.54442605275546E+03, |
| 451 |
'btu' => 2.54442605275546E+03 |
| 452 |
), |
| 453 |
'Wh' => array( 'J' => 3.59999820554720E+03, |
| 454 |
'e' => 3.59999647518369E+10, |
| 455 |
'c' => 8.60422069219046E+02, |
| 456 |
'cal' => 8.59845857713046E+02, |
| 457 |
'eV' => 2.24692340000000E+22, |
| 458 |
'ev' => 2.24692340000000E+22, |
| 459 |
'HPh' => 1.34102248243839E-03, |
| 460 |
'hh' => 1.34102248243839E-03, |
| 461 |
'Wh' => 1.0, |
| 462 |
'wh' => 1.0, |
| 463 |
'flb' => 8.54294774062316E+04, |
| 464 |
'BTU' => 3.41213254164705E+00, |
| 465 |
'btu' => 3.41213254164705E+00 |
| 466 |
), |
| 467 |
'wh' => array( 'J' => 3.59999820554720E+03, |
| 468 |
'e' => 3.59999647518369E+10, |
| 469 |
'c' => 8.60422069219046E+02, |
| 470 |
'cal' => 8.59845857713046E+02, |
| 471 |
'eV' => 2.24692340000000E+22, |
| 472 |
'ev' => 2.24692340000000E+22, |
| 473 |
'HPh' => 1.34102248243839E-03, |
| 474 |
'hh' => 1.34102248243839E-03, |
| 475 |
'Wh' => 1.0, |
| 476 |
'wh' => 1.0, |
| 477 |
'flb' => 8.54294774062316E+04, |
| 478 |
'BTU' => 3.41213254164705E+00, |
| 479 |
'btu' => 3.41213254164705E+00 |
| 480 |
), |
| 481 |
'flb' => array( 'J' => 4.21400003236424E-02, |
| 482 |
'e' => 4.21399800687660E+05, |
| 483 |
'c' => 1.00717234301644E-02, |
| 484 |
'cal' => 1.00649785509554E-02, |
| 485 |
'eV' => 2.63015000000000E+17, |
| 486 |
'ev' => 2.63015000000000E+17, |
| 487 |
'HPh' => 1.56974211145130E-08, |
| 488 |
'hh' => 1.56974211145130E-08, |
| 489 |
'Wh' => 1.17055614802000E-05, |
| 490 |
'wh' => 1.17055614802000E-05, |
| 491 |
'flb' => 1.0, |
| 492 |
'BTU' => 3.99409272448406E-05, |
| 493 |
'btu' => 3.99409272448406E-05 |
| 494 |
), |
| 495 |
'BTU' => array( 'J' => 1.05505813786749E+03, |
| 496 |
'e' => 1.05505763074665E+10, |
| 497 |
'c' => 2.52165488508168E+02, |
| 498 |
'cal' => 2.51996617135510E+02, |
| 499 |
'eV' => 6.58510000000000E+21, |
| 500 |
'ev' => 6.58510000000000E+21, |
| 501 |
'HPh' => 3.93015941224568E-04, |
| 502 |
'hh' => 3.93015941224568E-04, |
| 503 |
'Wh' => 2.93071851047526E-01, |
| 504 |
'wh' => 2.93071851047526E-01, |
| 505 |
'flb' => 2.50369750774671E+04, |
| 506 |
'BTU' => 1.0, |
| 507 |
'btu' => 1.0, |
| 508 |
), |
| 509 |
'btu' => array( 'J' => 1.05505813786749E+03, |
| 510 |
'e' => 1.05505763074665E+10, |
| 511 |
'c' => 2.52165488508168E+02, |
| 512 |
'cal' => 2.51996617135510E+02, |
| 513 |
'eV' => 6.58510000000000E+21, |
| 514 |
'ev' => 6.58510000000000E+21, |
| 515 |
'HPh' => 3.93015941224568E-04, |
| 516 |
'hh' => 3.93015941224568E-04, |
| 517 |
'Wh' => 2.93071851047526E-01, |
| 518 |
'wh' => 2.93071851047526E-01, |
| 519 |
'flb' => 2.50369750774671E+04, |
| 520 |
'BTU' => 1.0, |
| 521 |
'btu' => 1.0, |
| 522 |
) |
| 523 |
), |
| 524 |
'Power' => array( 'HP' => array( 'HP' => 1.0, |
| 525 |
'h' => 1.0, |
| 526 |
'W' => 7.45701000000000E+02, |
| 527 |
'w' => 7.45701000000000E+02 |
| 528 |
), |
| 529 |
'h' => array( 'HP' => 1.0, |
| 530 |
'h' => 1.0, |
| 531 |
'W' => 7.45701000000000E+02, |
| 532 |
'w' => 7.45701000000000E+02 |
| 533 |
), |
| 534 |
'W' => array( 'HP' => 1.34102006031908E-03, |
| 535 |
'h' => 1.34102006031908E-03, |
| 536 |
'W' => 1.0, |
| 537 |
'w' => 1.0 |
| 538 |
), |
| 539 |
'w' => array( 'HP' => 1.34102006031908E-03, |
| 540 |
'h' => 1.34102006031908E-03, |
| 541 |
'W' => 1.0, |
| 542 |
'w' => 1.0 |
| 543 |
) |
| 544 |
), |
| 545 |
'Magnetism' => array( 'T' => array( 'T' => 1.0, |
| 546 |
'ga' => 10000.0 |
| 547 |
), |
| 548 |
'ga' => array( 'T' => 0.0001, |
| 549 |
'ga' => 1.0 |
| 550 |
) |
| 551 |
), |
| 552 |
'Liquid' => array( 'tsp' => array( 'tsp' => 1.0, |
| 553 |
'tbs' => 3.33333333333333E-01, |
| 554 |
'oz' => 1.66666666666667E-01, |
| 555 |
'cup' => 2.08333333333333E-02, |
| 556 |
'pt' => 1.04166666666667E-02, |
| 557 |
'us_pt' => 1.04166666666667E-02, |
| 558 |
'uk_pt' => 8.67558516821960E-03, |
| 559 |
'qt' => 5.20833333333333E-03, |
| 560 |
'gal' => 1.30208333333333E-03, |
| 561 |
'l' => 4.92999408400710E-03, |
| 562 |
'lt' => 4.92999408400710E-03 |
| 563 |
), |
| 564 |
'tbs' => array( 'tsp' => 3.00000000000000E+00, |
| 565 |
'tbs' => 1.0, |
| 566 |
'oz' => 5.00000000000000E-01, |
| 567 |
'cup' => 6.25000000000000E-02, |
| 568 |
'pt' => 3.12500000000000E-02, |
| 569 |
'us_pt' => 3.12500000000000E-02, |
| 570 |
'uk_pt' => 2.60267555046588E-02, |
| 571 |
'qt' => 1.56250000000000E-02, |
| 572 |
'gal' => 3.90625000000000E-03, |
| 573 |
'l' => 1.47899822520213E-02, |
| 574 |
'lt' => 1.47899822520213E-02 |
| 575 |
), |
| 576 |
'oz' => array( 'tsp' => 6.00000000000000E+00, |
| 577 |
'tbs' => 2.00000000000000E+00, |
| 578 |
'oz' => 1.0, |
| 579 |
'cup' => 1.25000000000000E-01, |
| 580 |
'pt' => 6.25000000000000E-02, |
| 581 |
'us_pt' => 6.25000000000000E-02, |
| 582 |
'uk_pt' => 5.20535110093176E-02, |
| 583 |
'qt' => 3.12500000000000E-02, |
| 584 |
'gal' => 7.81250000000000E-03, |
| 585 |
'l' => 2.95799645040426E-02, |
| 586 |
'lt' => 2.95799645040426E-02 |
| 587 |
), |
| 588 |
'cup' => array( 'tsp' => 4.80000000000000E+01, |
| 589 |
'tbs' => 1.60000000000000E+01, |
| 590 |
'oz' => 8.00000000000000E+00, |
| 591 |
'cup' => 1.0, |
| 592 |
'pt' => 5.00000000000000E-01, |
| 593 |
'us_pt' => 5.00000000000000E-01, |
| 594 |
'uk_pt' => 4.16428088074541E-01, |
| 595 |
'qt' => 2.50000000000000E-01, |
| 596 |
'gal' => 6.25000000000000E-02, |
| 597 |
'l' => 2.36639716032341E-01, |
| 598 |
'lt' => 2.36639716032341E-01 |
| 599 |
), |
| 600 |
'pt' => array( 'tsp' => 9.60000000000000E+01, |
| 601 |
'tbs' => 3.20000000000000E+01, |
| 602 |
'oz' => 1.60000000000000E+01, |
| 603 |
'cup' => 2.00000000000000E+00, |
| 604 |
'pt' => 1.0, |
| 605 |
'us_pt' => 1.0, |
| 606 |
'uk_pt' => 8.32856176149081E-01, |
| 607 |
'qt' => 5.00000000000000E-01, |
| 608 |
'gal' => 1.25000000000000E-01, |
| 609 |
'l' => 4.73279432064682E-01, |
| 610 |
'lt' => 4.73279432064682E-01 |
| 611 |
), |
| 612 |
'us_pt' => array( 'tsp' => 9.60000000000000E+01, |
| 613 |
'tbs' => 3.20000000000000E+01, |
| 614 |
'oz' => 1.60000000000000E+01, |
| 615 |
'cup' => 2.00000000000000E+00, |
| 616 |
'pt' => 1.0, |
| 617 |
'us_pt' => 1.0, |
| 618 |
'uk_pt' => 8.32856176149081E-01, |
| 619 |
'qt' => 5.00000000000000E-01, |
| 620 |
'gal' => 1.25000000000000E-01, |
| 621 |
'l' => 4.73279432064682E-01, |
| 622 |
'lt' => 4.73279432064682E-01 |
| 623 |
), |
| 624 |
'uk_pt' => array( 'tsp' => 1.15266000000000E+02, |
| 625 |
'tbs' => 3.84220000000000E+01, |
| 626 |
'oz' => 1.92110000000000E+01, |
| 627 |
'cup' => 2.40137500000000E+00, |
| 628 |
'pt' => 1.20068750000000E+00, |
| 629 |
'us_pt' => 1.20068750000000E+00, |
| 630 |
'uk_pt' => 1.0, |
| 631 |
'qt' => 6.00343750000000E-01, |
| 632 |
'gal' => 1.50085937500000E-01, |
| 633 |
'l' => 5.68260698087162E-01, |
| 634 |
'lt' => 5.68260698087162E-01 |
| 635 |
), |
| 636 |
'qt' => array( 'tsp' => 1.92000000000000E+02, |
| 637 |
'tbs' => 6.40000000000000E+01, |
| 638 |
'oz' => 3.20000000000000E+01, |
| 639 |
'cup' => 4.00000000000000E+00, |
| 640 |
'pt' => 2.00000000000000E+00, |
| 641 |
'us_pt' => 2.00000000000000E+00, |
| 642 |
'uk_pt' => 1.66571235229816E+00, |
| 643 |
'qt' => 1.0, |
| 644 |
'gal' => 2.50000000000000E-01, |
| 645 |
'l' => 9.46558864129363E-01, |
| 646 |
'lt' => 9.46558864129363E-01 |
| 647 |
), |
| 648 |
'gal' => array( 'tsp' => 7.68000000000000E+02, |
| 649 |
'tbs' => 2.56000000000000E+02, |
| 650 |
'oz' => 1.28000000000000E+02, |
| 651 |
'cup' => 1.60000000000000E+01, |
| 652 |
'pt' => 8.00000000000000E+00, |
| 653 |
'us_pt' => 8.00000000000000E+00, |
| 654 |
'uk_pt' => 6.66284940919265E+00, |
| 655 |
'qt' => 4.00000000000000E+00, |
| 656 |
'gal' => 1.0, |
| 657 |
'l' => 3.78623545651745E+00, |
| 658 |
'lt' => 3.78623545651745E+00 |
| 659 |
), |
| 660 |
'l' => array( 'tsp' => 2.02840000000000E+02, |
| 661 |
'tbs' => 6.76133333333333E+01, |
| 662 |
'oz' => 3.38066666666667E+01, |
| 663 |
'cup' => 4.22583333333333E+00, |
| 664 |
'pt' => 2.11291666666667E+00, |
| 665 |
'us_pt' => 2.11291666666667E+00, |
| 666 |
'uk_pt' => 1.75975569552166E+00, |
| 667 |
'qt' => 1.05645833333333E+00, |
| 668 |
'gal' => 2.64114583333333E-01, |
| 669 |
'l' => 1.0, |
| 670 |
'lt' => 1.0 |
| 671 |
), |
| 672 |
'lt' => array( 'tsp' => 2.02840000000000E+02, |
| 673 |
'tbs' => 6.76133333333333E+01, |
| 674 |
'oz' => 3.38066666666667E+01, |
| 675 |
'cup' => 4.22583333333333E+00, |
| 676 |
'pt' => 2.11291666666667E+00, |
| 677 |
'us_pt' => 2.11291666666667E+00, |
| 678 |
'uk_pt' => 1.75975569552166E+00, |
| 679 |
'qt' => 1.05645833333333E+00, |
| 680 |
'gal' => 2.64114583333333E-01, |
| 681 |
'l' => 1.0, |
| 682 |
'lt' => 1.0 |
| 683 |
) |
| 684 |
) |
| 685 |
); |
| 686 |
|
| 687 |
|
| 688 |
/** |
| 689 |
* _parseComplex |
| 690 |
* |
| 691 |
* Parses a complex number into its real and imaginary parts, and an I or J suffix |
| 692 |
* |
| 693 |
* @param string $complexNumber The complex number |
| 694 |
* @return string[] Indexed on "real", "imaginary" and "suffix" |
| 695 |
*/ |
| 696 |
public static function _parseComplex($complexNumber) { |
| 697 |
$workString = (string) $complexNumber; |
| 698 |
|
| 699 |
$realNumber = $imaginary = 0; |
| 700 |
// Extract the suffix, if there is one |
| 701 |
$suffix = substr($workString,-1); |
| 702 |
if (!is_numeric($suffix)) { |
| 703 |
$workString = substr($workString,0,-1); |
| 704 |
} else { |
| 705 |
$suffix = ''; |
| 706 |
} |
| 707 |
|
| 708 |
// Split the input into its Real and Imaginary components |
| 709 |
$leadingSign = 0; |
| 710 |
if (strlen($workString) > 0) { |
| 711 |
$leadingSign = (($workString{0} == '+') || ($workString{0} == '-')) ? 1 : 0; |
| 712 |
} |
| 713 |
$power = ''; |
| 714 |
$realNumber = strtok($workString, '+-'); |
| 715 |
if (strtoupper(substr($realNumber,-1)) == 'E') { |
| 716 |
$power = strtok('+-'); |
| 717 |
++$leadingSign; |
| 718 |
} |
| 719 |
|
| 720 |
$realNumber = substr($workString,0,strlen($realNumber)+strlen($power)+$leadingSign); |
| 721 |
|
| 722 |
if ($suffix != '') { |
| 723 |
$imaginary = substr($workString,strlen($realNumber)); |
| 724 |
|
| 725 |
if (($imaginary == '') && (($realNumber == '') || ($realNumber == '+') || ($realNumber == '-'))) { |
| 726 |
$imaginary = $realNumber.'1'; |
| 727 |
$realNumber = '0'; |
| 728 |
} else if ($imaginary == '') { |
| 729 |
$imaginary = $realNumber; |
| 730 |
$realNumber = '0'; |
| 731 |
} elseif (($imaginary == '+') || ($imaginary == '-')) { |
| 732 |
$imaginary .= '1'; |
| 733 |
} |
| 734 |
} |
| 735 |
|
| 736 |
return array( 'real' => $realNumber, |
| 737 |
'imaginary' => $imaginary, |
| 738 |
'suffix' => $suffix |
| 739 |
); |
| 740 |
} // function _parseComplex() |
| 741 |
|
| 742 |
|
| 743 |
/** |
| 744 |
* Cleans the leading characters in a complex number string |
| 745 |
* |
| 746 |
* @param string $complexNumber The complex number to clean |
| 747 |
* @return string The "cleaned" complex number |
| 748 |
*/ |
| 749 |
private static function _cleanComplex($complexNumber) { |
| 750 |
if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1); |
| 751 |
if ($complexNumber{0} == '0') $complexNumber = substr($complexNumber,1); |
| 752 |
if ($complexNumber{0} == '.') $complexNumber = '0'.$complexNumber; |
| 753 |
if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1); |
| 754 |
return $complexNumber; |
| 755 |
} |
| 756 |
|
| 757 |
/** |
| 758 |
* Formats a number base string value with leading zeroes |
| 759 |
* |
| 760 |
* @param string $xVal The "number" to pad |
| 761 |
* @param integer $places The length that we want to pad this value |
| 762 |
* @return string The padded "number" |
| 763 |
*/ |
| 764 |
private static function _nbrConversionFormat($xVal, $places) { |
| 765 |
if (!is_null($places)) { |
| 766 |
if (strlen($xVal) <= $places) { |
| 767 |
return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10); |
| 768 |
} else { |
| 769 |
return PHPExcel_Calculation_Functions::NaN(); |
| 770 |
} |
| 771 |
} |
| 772 |
|
| 773 |
return substr($xVal, -10); |
| 774 |
} // function _nbrConversionFormat() |
| 775 |
|
| 776 |
/** |
| 777 |
* BESSELI |
| 778 |
* |
| 779 |
* Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated |
| 780 |
* for purely imaginary arguments |
| 781 |
* |
| 782 |
* Excel Function: |
| 783 |
* BESSELI(x,ord) |
| 784 |
* |
| 785 |
* @access public |
| 786 |
* @category Engineering Functions |
| 787 |
* @param float $x The value at which to evaluate the function. |
| 788 |
* If x is nonnumeric, BESSELI returns the #VALUE! error value. |
| 789 |
* @param integer $ord The order of the Bessel function. |
| 790 |
* If ord is not an integer, it is truncated. |
| 791 |
* If $ord is nonnumeric, BESSELI returns the #VALUE! error value. |
| 792 |
* If $ord < 0, BESSELI returns the #NUM! error value. |
| 793 |
* @return float |
| 794 |
* |
| 795 |
*/ |
| 796 |
public static function BESSELI($x, $ord) { |
| 797 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 798 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
| 799 |
|
| 800 |
if ((is_numeric($x)) && (is_numeric($ord))) { |
| 801 |
$ord = floor($ord); |
| 802 |
if ($ord < 0) { |
| 803 |
return PHPExcel_Calculation_Functions::NaN(); |
| 804 |
} |
| 805 |
|
| 806 |
if (abs($x) <= 30) { |
| 807 |
$fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord); |
| 808 |
$ordK = 1; |
| 809 |
$fSqrX = ($x * $x) / 4; |
| 810 |
do { |
| 811 |
$fTerm *= $fSqrX; |
| 812 |
$fTerm /= ($ordK * ($ordK + $ord)); |
| 813 |
$fResult += $fTerm; |
| 814 |
} while ((abs($fTerm) > 1e-12) && (++$ordK < 100)); |
| 815 |
} else { |
| 816 |
$f_2_PI = 2 * M_PI; |
| 817 |
|
| 818 |
$fXAbs = abs($x); |
| 819 |
$fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs); |
| 820 |
if (($ord & 1) && ($x < 0)) { |
| 821 |
$fResult = -$fResult; |
| 822 |
} |
| 823 |
} |
| 824 |
return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult; |
| 825 |
} |
| 826 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 827 |
} // function BESSELI() |
| 828 |
|
| 829 |
|
| 830 |
/** |
| 831 |
* BESSELJ |
| 832 |
* |
| 833 |
* Returns the Bessel function |
| 834 |
* |
| 835 |
* Excel Function: |
| 836 |
* BESSELJ(x,ord) |
| 837 |
* |
| 838 |
* @access public |
| 839 |
* @category Engineering Functions |
| 840 |
* @param float $x The value at which to evaluate the function. |
| 841 |
* If x is nonnumeric, BESSELJ returns the #VALUE! error value. |
| 842 |
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated. |
| 843 |
* If $ord is nonnumeric, BESSELJ returns the #VALUE! error value. |
| 844 |
* If $ord < 0, BESSELJ returns the #NUM! error value. |
| 845 |
* @return float |
| 846 |
* |
| 847 |
*/ |
| 848 |
public static function BESSELJ($x, $ord) { |
| 849 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 850 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
| 851 |
|
| 852 |
if ((is_numeric($x)) && (is_numeric($ord))) { |
| 853 |
$ord = floor($ord); |
| 854 |
if ($ord < 0) { |
| 855 |
return PHPExcel_Calculation_Functions::NaN(); |
| 856 |
} |
| 857 |
|
| 858 |
$fResult = 0; |
| 859 |
if (abs($x) <= 30) { |
| 860 |
$fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord); |
| 861 |
$ordK = 1; |
| 862 |
$fSqrX = ($x * $x) / -4; |
| 863 |
do { |
| 864 |
$fTerm *= $fSqrX; |
| 865 |
$fTerm /= ($ordK * ($ordK + $ord)); |
| 866 |
$fResult += $fTerm; |
| 867 |
} while ((abs($fTerm) > 1e-12) && (++$ordK < 100)); |
| 868 |
} else { |
| 869 |
$f_PI_DIV_2 = M_PI / 2; |
| 870 |
$f_PI_DIV_4 = M_PI / 4; |
| 871 |
|
| 872 |
$fXAbs = abs($x); |
| 873 |
$fResult = sqrt(M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4); |
| 874 |
if (($ord & 1) && ($x < 0)) { |
| 875 |
$fResult = -$fResult; |
| 876 |
} |
| 877 |
} |
| 878 |
return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult; |
| 879 |
} |
| 880 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 881 |
} // function BESSELJ() |
| 882 |
|
| 883 |
|
| 884 |
private static function _Besselk0($fNum) { |
| 885 |
if ($fNum <= 2) { |
| 886 |
$fNum2 = $fNum * 0.5; |
| 887 |
$y = ($fNum2 * $fNum2); |
| 888 |
$fRet = -log($fNum2) * self::BESSELI($fNum, 0) + |
| 889 |
(-0.57721566 + $y * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y * |
| 890 |
(0.10750e-3 + $y * 0.74e-5)))))); |
| 891 |
} else { |
| 892 |
$y = 2 / $fNum; |
| 893 |
$fRet = exp(-$fNum) / sqrt($fNum) * |
| 894 |
(1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y * |
| 895 |
(0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3)))))); |
| 896 |
} |
| 897 |
return $fRet; |
| 898 |
} // function _Besselk0() |
| 899 |
|
| 900 |
|
| 901 |
private static function _Besselk1($fNum) { |
| 902 |
if ($fNum <= 2) { |
| 903 |
$fNum2 = $fNum * 0.5; |
| 904 |
$y = ($fNum2 * $fNum2); |
| 905 |
$fRet = log($fNum2) * self::BESSELI($fNum, 1) + |
| 906 |
(1 + $y * (0.15443144 + $y * (-0.67278579 + $y * (-0.18156897 + $y * (-0.1919402e-1 + $y * |
| 907 |
(-0.110404e-2 + $y * (-0.4686e-4))))))) / $fNum; |
| 908 |
} else { |
| 909 |
$y = 2 / $fNum; |
| 910 |
$fRet = exp(-$fNum) / sqrt($fNum) * |
| 911 |
(1.25331414 + $y * (0.23498619 + $y * (-0.3655620e-1 + $y * (0.1504268e-1 + $y * (-0.780353e-2 + $y * |
| 912 |
(0.325614e-2 + $y * (-0.68245e-3))))))); |
| 913 |
} |
| 914 |
return $fRet; |
| 915 |
} // function _Besselk1() |
| 916 |
|
| 917 |
|
| 918 |
/** |
| 919 |
* BESSELK |
| 920 |
* |
| 921 |
* Returns the modified Bessel function Kn(x), which is equivalent to the Bessel functions evaluated |
| 922 |
* for purely imaginary arguments. |
| 923 |
* |
| 924 |
* Excel Function: |
| 925 |
* BESSELK(x,ord) |
| 926 |
* |
| 927 |
* @access public |
| 928 |
* @category Engineering Functions |
| 929 |
* @param float $x The value at which to evaluate the function. |
| 930 |
* If x is nonnumeric, BESSELK returns the #VALUE! error value. |
| 931 |
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated. |
| 932 |
* If $ord is nonnumeric, BESSELK returns the #VALUE! error value. |
| 933 |
* If $ord < 0, BESSELK returns the #NUM! error value. |
| 934 |
* @return float |
| 935 |
* |
| 936 |
*/ |
| 937 |
public static function BESSELK($x, $ord) { |
| 938 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 939 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
| 940 |
|
| 941 |
if ((is_numeric($x)) && (is_numeric($ord))) { |
| 942 |
if (($ord < 0) || ($x == 0.0)) { |
| 943 |
return PHPExcel_Calculation_Functions::NaN(); |
| 944 |
} |
| 945 |
|
| 946 |
switch(floor($ord)) { |
| 947 |
case 0 : return self::_Besselk0($x); |
| 948 |
break; |
| 949 |
case 1 : return self::_Besselk1($x); |
| 950 |
break; |
| 951 |
default : $fTox = 2 / $x; |
| 952 |
$fBkm = self::_Besselk0($x); |
| 953 |
$fBk = self::_Besselk1($x); |
| 954 |
for ($n = 1; $n < $ord; ++$n) { |
| 955 |
$fBkp = $fBkm + $n * $fTox * $fBk; |
| 956 |
$fBkm = $fBk; |
| 957 |
$fBk = $fBkp; |
| 958 |
} |
| 959 |
} |
| 960 |
return (is_nan($fBk)) ? PHPExcel_Calculation_Functions::NaN() : $fBk; |
| 961 |
} |
| 962 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 963 |
} // function BESSELK() |
| 964 |
|
| 965 |
|
| 966 |
private static function _Bessely0($fNum) { |
| 967 |
if ($fNum < 8.0) { |
| 968 |
$y = ($fNum * $fNum); |
| 969 |
$f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733)))); |
| 970 |
$f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.26470 + $y * (226.1030244 + $y)))); |
| 971 |
$fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum); |
| 972 |
} else { |
| 973 |
$z = 8.0 / $fNum; |
| 974 |
$y = ($z * $z); |
| 975 |
$xx = $fNum - 0.785398164; |
| 976 |
$f1 = 1 + $y * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6))); |
| 977 |
$f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7)))); |
| 978 |
$fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2); |
| 979 |
} |
| 980 |
return $fRet; |
| 981 |
} // function _Bessely0() |
| 982 |
|
| 983 |
|
| 984 |
private static function _Bessely1($fNum) { |
| 985 |
if ($fNum < 8.0) { |
| 986 |
$y = ($fNum * $fNum); |
| 987 |
$f1 = $fNum * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y * |
| 988 |
(-0.4237922726e7 + $y * 0.8511937935e4))))); |
| 989 |
$f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y * |
| 990 |
(0.1020426050e6 + $y * (0.3549632885e3 + $y))))); |
| 991 |
$fRet = $f1 / $f2 + 0.636619772 * ( self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum); |
| 992 |
} else { |
| 993 |
$fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491); |
| 994 |
} |
| 995 |
return $fRet; |
| 996 |
} // function _Bessely1() |
| 997 |
|
| 998 |
|
| 999 |
/** |
| 1000 |
* BESSELY |
| 1001 |
* |
| 1002 |
* Returns the Bessel function, which is also called the Weber function or the Neumann function. |
| 1003 |
* |
| 1004 |
* Excel Function: |
| 1005 |
* BESSELY(x,ord) |
| 1006 |
* |
| 1007 |
* @access public |
| 1008 |
* @category Engineering Functions |
| 1009 |
* @param float $x The value at which to evaluate the function. |
| 1010 |
* If x is nonnumeric, BESSELK returns the #VALUE! error value. |
| 1011 |
* @param integer $ord The order of the Bessel function. If n is not an integer, it is truncated. |
| 1012 |
* If $ord is nonnumeric, BESSELK returns the #VALUE! error value. |
| 1013 |
* If $ord < 0, BESSELK returns the #NUM! error value. |
| 1014 |
* |
| 1015 |
* @return float |
| 1016 |
*/ |
| 1017 |
public static function BESSELY($x, $ord) { |
| 1018 |
$x = (is_null($x)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1019 |
$ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord); |
| 1020 |
|
| 1021 |
if ((is_numeric($x)) && (is_numeric($ord))) { |
| 1022 |
if (($ord < 0) || ($x == 0.0)) { |
| 1023 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1024 |
} |
| 1025 |
|
| 1026 |
switch(floor($ord)) { |
| 1027 |
case 0 : return self::_Bessely0($x); |
| 1028 |
break; |
| 1029 |
case 1 : return self::_Bessely1($x); |
| 1030 |
break; |
| 1031 |
default: $fTox = 2 / $x; |
| 1032 |
$fBym = self::_Bessely0($x); |
| 1033 |
$fBy = self::_Bessely1($x); |
| 1034 |
for ($n = 1; $n < $ord; ++$n) { |
| 1035 |
$fByp = $n * $fTox * $fBy - $fBym; |
| 1036 |
$fBym = $fBy; |
| 1037 |
$fBy = $fByp; |
| 1038 |
} |
| 1039 |
} |
| 1040 |
return (is_nan($fBy)) ? PHPExcel_Calculation_Functions::NaN() : $fBy; |
| 1041 |
} |
| 1042 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1043 |
} // function BESSELY() |
| 1044 |
|
| 1045 |
|
| 1046 |
/** |
| 1047 |
* BINTODEC |
| 1048 |
* |
| 1049 |
* Return a binary value as decimal. |
| 1050 |
* |
| 1051 |
* Excel Function: |
| 1052 |
* BIN2DEC(x) |
| 1053 |
* |
| 1054 |
* @access public |
| 1055 |
* @category Engineering Functions |
| 1056 |
* @param string $x The binary number (as a string) that you want to convert. The number |
| 1057 |
* cannot contain more than 10 characters (10 bits). The most significant |
| 1058 |
* bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
| 1059 |
* Negative numbers are represented using two's-complement notation. |
| 1060 |
* If number is not a valid binary number, or if number contains more than |
| 1061 |
* 10 characters (10 bits), BIN2DEC returns the #NUM! error value. |
| 1062 |
* @return string |
| 1063 |
*/ |
| 1064 |
public static function BINTODEC($x) { |
| 1065 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1066 |
|
| 1067 |
if (is_bool($x)) { |
| 1068 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
| 1069 |
$x = (int) $x; |
| 1070 |
} else { |
| 1071 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1072 |
} |
| 1073 |
} |
| 1074 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) { |
| 1075 |
$x = floor($x); |
| 1076 |
} |
| 1077 |
$x = (string) $x; |
| 1078 |
if (strlen($x) > preg_match_all('/[01]/',$x,$out)) { |
| 1079 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1080 |
} |
| 1081 |
if (strlen($x) > 10) { |
| 1082 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1083 |
} elseif (strlen($x) == 10) { |
| 1084 |
// Two's Complement |
| 1085 |
$x = substr($x,-9); |
| 1086 |
return '-'.(512-bindec($x)); |
| 1087 |
} |
| 1088 |
return bindec($x); |
| 1089 |
} // function BINTODEC() |
| 1090 |
|
| 1091 |
|
| 1092 |
/** |
| 1093 |
* BINTOHEX |
| 1094 |
* |
| 1095 |
* Return a binary value as hex. |
| 1096 |
* |
| 1097 |
* Excel Function: |
| 1098 |
* BIN2HEX(x[,places]) |
| 1099 |
* |
| 1100 |
* @access public |
| 1101 |
* @category Engineering Functions |
| 1102 |
* @param string $x The binary number (as a string) that you want to convert. The number |
| 1103 |
* cannot contain more than 10 characters (10 bits). The most significant |
| 1104 |
* bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
| 1105 |
* Negative numbers are represented using two's-complement notation. |
| 1106 |
* If number is not a valid binary number, or if number contains more than |
| 1107 |
* 10 characters (10 bits), BIN2HEX returns the #NUM! error value. |
| 1108 |
* @param integer $places The number of characters to use. If places is omitted, BIN2HEX uses the |
| 1109 |
* minimum number of characters necessary. Places is useful for padding the |
| 1110 |
* return value with leading 0s (zeros). |
| 1111 |
* If places is not an integer, it is truncated. |
| 1112 |
* If places is nonnumeric, BIN2HEX returns the #VALUE! error value. |
| 1113 |
* If places is negative, BIN2HEX returns the #NUM! error value. |
| 1114 |
* @return string |
| 1115 |
*/ |
| 1116 |
public static function BINTOHEX($x, $places=NULL) { |
| 1117 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1118 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1119 |
|
| 1120 |
if (is_bool($x)) { |
| 1121 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
| 1122 |
$x = (int) $x; |
| 1123 |
} else { |
| 1124 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1125 |
} |
| 1126 |
} |
| 1127 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) { |
| 1128 |
$x = floor($x); |
| 1129 |
} |
| 1130 |
$x = (string) $x; |
| 1131 |
if (strlen($x) > preg_match_all('/[01]/',$x,$out)) { |
| 1132 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1133 |
} |
| 1134 |
if (strlen($x) > 10) { |
| 1135 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1136 |
} elseif (strlen($x) == 10) { |
| 1137 |
// Two's Complement |
| 1138 |
return str_repeat('F',8).substr(strtoupper(dechex(bindec(substr($x,-9)))),-2); |
| 1139 |
} |
| 1140 |
$hexVal = (string) strtoupper(dechex(bindec($x))); |
| 1141 |
|
| 1142 |
return self::_nbrConversionFormat($hexVal,$places); |
| 1143 |
} // function BINTOHEX() |
| 1144 |
|
| 1145 |
|
| 1146 |
/** |
| 1147 |
* BINTOOCT |
| 1148 |
* |
| 1149 |
* Return a binary value as octal. |
| 1150 |
* |
| 1151 |
* Excel Function: |
| 1152 |
* BIN2OCT(x[,places]) |
| 1153 |
* |
| 1154 |
* @access public |
| 1155 |
* @category Engineering Functions |
| 1156 |
* @param string $x The binary number (as a string) that you want to convert. The number |
| 1157 |
* cannot contain more than 10 characters (10 bits). The most significant |
| 1158 |
* bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
| 1159 |
* Negative numbers are represented using two's-complement notation. |
| 1160 |
* If number is not a valid binary number, or if number contains more than |
| 1161 |
* 10 characters (10 bits), BIN2OCT returns the #NUM! error value. |
| 1162 |
* @param integer $places The number of characters to use. If places is omitted, BIN2OCT uses the |
| 1163 |
* minimum number of characters necessary. Places is useful for padding the |
| 1164 |
* return value with leading 0s (zeros). |
| 1165 |
* If places is not an integer, it is truncated. |
| 1166 |
* If places is nonnumeric, BIN2OCT returns the #VALUE! error value. |
| 1167 |
* If places is negative, BIN2OCT returns the #NUM! error value. |
| 1168 |
* @return string |
| 1169 |
*/ |
| 1170 |
public static function BINTOOCT($x, $places=NULL) { |
| 1171 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1172 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1173 |
|
| 1174 |
if (is_bool($x)) { |
| 1175 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
| 1176 |
$x = (int) $x; |
| 1177 |
} else { |
| 1178 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1179 |
} |
| 1180 |
} |
| 1181 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) { |
| 1182 |
$x = floor($x); |
| 1183 |
} |
| 1184 |
$x = (string) $x; |
| 1185 |
if (strlen($x) > preg_match_all('/[01]/',$x,$out)) { |
| 1186 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1187 |
} |
| 1188 |
if (strlen($x) > 10) { |
| 1189 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1190 |
} elseif (strlen($x) == 10) { |
| 1191 |
// Two's Complement |
| 1192 |
return str_repeat('7',7).substr(strtoupper(decoct(bindec(substr($x,-9)))),-3); |
| 1193 |
} |
| 1194 |
$octVal = (string) decoct(bindec($x)); |
| 1195 |
|
| 1196 |
return self::_nbrConversionFormat($octVal,$places); |
| 1197 |
} // function BINTOOCT() |
| 1198 |
|
| 1199 |
|
| 1200 |
/** |
| 1201 |
* DECTOBIN |
| 1202 |
* |
| 1203 |
* Return a decimal value as binary. |
| 1204 |
* |
| 1205 |
* Excel Function: |
| 1206 |
* DEC2BIN(x[,places]) |
| 1207 |
* |
| 1208 |
* @access public |
| 1209 |
* @category Engineering Functions |
| 1210 |
* @param string $x The decimal integer you want to convert. If number is negative, |
| 1211 |
* valid place values are ignored and DEC2BIN returns a 10-character |
| 1212 |
* (10-bit) binary number in which the most significant bit is the sign |
| 1213 |
* bit. The remaining 9 bits are magnitude bits. Negative numbers are |
| 1214 |
* represented using two's-complement notation. |
| 1215 |
* If number < -512 or if number > 511, DEC2BIN returns the #NUM! error |
| 1216 |
* value. |
| 1217 |
* If number is nonnumeric, DEC2BIN returns the #VALUE! error value. |
| 1218 |
* If DEC2BIN requires more than places characters, it returns the #NUM! |
| 1219 |
* error value. |
| 1220 |
* @param integer $places The number of characters to use. If places is omitted, DEC2BIN uses |
| 1221 |
* the minimum number of characters necessary. Places is useful for |
| 1222 |
* padding the return value with leading 0s (zeros). |
| 1223 |
* If places is not an integer, it is truncated. |
| 1224 |
* If places is nonnumeric, DEC2BIN returns the #VALUE! error value. |
| 1225 |
* If places is zero or negative, DEC2BIN returns the #NUM! error value. |
| 1226 |
* @return string |
| 1227 |
*/ |
| 1228 |
public static function DECTOBIN($x, $places=NULL) { |
| 1229 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1230 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1231 |
|
| 1232 |
if (is_bool($x)) { |
| 1233 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
| 1234 |
$x = (int) $x; |
| 1235 |
} else { |
| 1236 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1237 |
} |
| 1238 |
} |
| 1239 |
$x = (string) $x; |
| 1240 |
if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) { |
| 1241 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1242 |
} |
| 1243 |
$x = (string) floor($x); |
| 1244 |
$r = decbin($x); |
| 1245 |
if (strlen($r) == 32) { |
| 1246 |
// Two's Complement |
| 1247 |
$r = substr($r,-10); |
| 1248 |
} elseif (strlen($r) > 11) { |
| 1249 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1250 |
} |
| 1251 |
|
| 1252 |
return self::_nbrConversionFormat($r,$places); |
| 1253 |
} // function DECTOBIN() |
| 1254 |
|
| 1255 |
|
| 1256 |
/** |
| 1257 |
* DECTOHEX |
| 1258 |
* |
| 1259 |
* Return a decimal value as hex. |
| 1260 |
* |
| 1261 |
* Excel Function: |
| 1262 |
* DEC2HEX(x[,places]) |
| 1263 |
* |
| 1264 |
* @access public |
| 1265 |
* @category Engineering Functions |
| 1266 |
* @param string $x The decimal integer you want to convert. If number is negative, |
| 1267 |
* places is ignored and DEC2HEX returns a 10-character (40-bit) |
| 1268 |
* hexadecimal number in which the most significant bit is the sign |
| 1269 |
* bit. The remaining 39 bits are magnitude bits. Negative numbers |
| 1270 |
* are represented using two's-complement notation. |
| 1271 |
* If number < -549,755,813,888 or if number > 549,755,813,887, |
| 1272 |
* DEC2HEX returns the #NUM! error value. |
| 1273 |
* If number is nonnumeric, DEC2HEX returns the #VALUE! error value. |
| 1274 |
* If DEC2HEX requires more than places characters, it returns the |
| 1275 |
* #NUM! error value. |
| 1276 |
* @param integer $places The number of characters to use. If places is omitted, DEC2HEX uses |
| 1277 |
* the minimum number of characters necessary. Places is useful for |
| 1278 |
* padding the return value with leading 0s (zeros). |
| 1279 |
* If places is not an integer, it is truncated. |
| 1280 |
* If places is nonnumeric, DEC2HEX returns the #VALUE! error value. |
| 1281 |
* If places is zero or negative, DEC2HEX returns the #NUM! error value. |
| 1282 |
* @return string |
| 1283 |
*/ |
| 1284 |
public static function DECTOHEX($x, $places=null) { |
| 1285 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1286 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1287 |
|
| 1288 |
if (is_bool($x)) { |
| 1289 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
| 1290 |
$x = (int) $x; |
| 1291 |
} else { |
| 1292 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1293 |
} |
| 1294 |
} |
| 1295 |
$x = (string) $x; |
| 1296 |
if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) { |
| 1297 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1298 |
} |
| 1299 |
$x = (string) floor($x); |
| 1300 |
$r = strtoupper(dechex($x)); |
| 1301 |
if (strlen($r) == 8) { |
| 1302 |
// Two's Complement |
| 1303 |
$r = 'FF'.$r; |
| 1304 |
} |
| 1305 |
|
| 1306 |
return self::_nbrConversionFormat($r,$places); |
| 1307 |
} // function DECTOHEX() |
| 1308 |
|
| 1309 |
|
| 1310 |
/** |
| 1311 |
* DECTOOCT |
| 1312 |
* |
| 1313 |
* Return an decimal value as octal. |
| 1314 |
* |
| 1315 |
* Excel Function: |
| 1316 |
* DEC2OCT(x[,places]) |
| 1317 |
* |
| 1318 |
* @access public |
| 1319 |
* @category Engineering Functions |
| 1320 |
* @param string $x The decimal integer you want to convert. If number is negative, |
| 1321 |
* places is ignored and DEC2OCT returns a 10-character (30-bit) |
| 1322 |
* octal number in which the most significant bit is the sign bit. |
| 1323 |
* The remaining 29 bits are magnitude bits. Negative numbers are |
| 1324 |
* represented using two's-complement notation. |
| 1325 |
* If number < -536,870,912 or if number > 536,870,911, DEC2OCT |
| 1326 |
* returns the #NUM! error value. |
| 1327 |
* If number is nonnumeric, DEC2OCT returns the #VALUE! error value. |
| 1328 |
* If DEC2OCT requires more than places characters, it returns the |
| 1329 |
* #NUM! error value. |
| 1330 |
* @param integer $places The number of characters to use. If places is omitted, DEC2OCT uses |
| 1331 |
* the minimum number of characters necessary. Places is useful for |
| 1332 |
* padding the return value with leading 0s (zeros). |
| 1333 |
* If places is not an integer, it is truncated. |
| 1334 |
* If places is nonnumeric, DEC2OCT returns the #VALUE! error value. |
| 1335 |
* If places is zero or negative, DEC2OCT returns the #NUM! error value. |
| 1336 |
* @return string |
| 1337 |
*/ |
| 1338 |
public static function DECTOOCT($x, $places=null) { |
| 1339 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1340 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1341 |
|
| 1342 |
if (is_bool($x)) { |
| 1343 |
if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) { |
| 1344 |
$x = (int) $x; |
| 1345 |
} else { |
| 1346 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1347 |
} |
| 1348 |
} |
| 1349 |
$x = (string) $x; |
| 1350 |
if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) { |
| 1351 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1352 |
} |
| 1353 |
$x = (string) floor($x); |
| 1354 |
$r = decoct($x); |
| 1355 |
if (strlen($r) == 11) { |
| 1356 |
// Two's Complement |
| 1357 |
$r = substr($r,-10); |
| 1358 |
} |
| 1359 |
|
| 1360 |
return self::_nbrConversionFormat($r,$places); |
| 1361 |
} // function DECTOOCT() |
| 1362 |
|
| 1363 |
|
| 1364 |
/** |
| 1365 |
* HEXTOBIN |
| 1366 |
* |
| 1367 |
* Return a hex value as binary. |
| 1368 |
* |
| 1369 |
* Excel Function: |
| 1370 |
* HEX2BIN(x[,places]) |
| 1371 |
* |
| 1372 |
* @access public |
| 1373 |
* @category Engineering Functions |
| 1374 |
* @param string $x the hexadecimal number you want to convert. Number cannot |
| 1375 |
* contain more than 10 characters. The most significant bit of |
| 1376 |
* number is the sign bit (40th bit from the right). The remaining |
| 1377 |
* 9 bits are magnitude bits. Negative numbers are represented |
| 1378 |
* using two's-complement notation. |
| 1379 |
* If number is negative, HEX2BIN ignores places and returns a |
| 1380 |
* 10-character binary number. |
| 1381 |
* If number is negative, it cannot be less than FFFFFFFE00, and |
| 1382 |
* if number is positive, it cannot be greater than 1FF. |
| 1383 |
* If number is not a valid hexadecimal number, HEX2BIN returns |
| 1384 |
* the #NUM! error value. |
| 1385 |
* If HEX2BIN requires more than places characters, it returns |
| 1386 |
* the #NUM! error value. |
| 1387 |
* @param integer $places The number of characters to use. If places is omitted, |
| 1388 |
* HEX2BIN uses the minimum number of characters necessary. Places |
| 1389 |
* is useful for padding the return value with leading 0s (zeros). |
| 1390 |
* If places is not an integer, it is truncated. |
| 1391 |
* If places is nonnumeric, HEX2BIN returns the #VALUE! error value. |
| 1392 |
* If places is negative, HEX2BIN returns the #NUM! error value. |
| 1393 |
* @return string |
| 1394 |
*/ |
| 1395 |
public static function HEXTOBIN($x, $places=null) { |
| 1396 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1397 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1398 |
|
| 1399 |
if (is_bool($x)) { |
| 1400 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1401 |
} |
| 1402 |
$x = (string) $x; |
| 1403 |
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) { |
| 1404 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1405 |
} |
| 1406 |
$binVal = decbin(hexdec($x)); |
| 1407 |
|
| 1408 |
return substr(self::_nbrConversionFormat($binVal,$places),-10); |
| 1409 |
} // function HEXTOBIN() |
| 1410 |
|
| 1411 |
|
| 1412 |
/** |
| 1413 |
* HEXTODEC |
| 1414 |
* |
| 1415 |
* Return a hex value as decimal. |
| 1416 |
* |
| 1417 |
* Excel Function: |
| 1418 |
* HEX2DEC(x) |
| 1419 |
* |
| 1420 |
* @access public |
| 1421 |
* @category Engineering Functions |
| 1422 |
* @param string $x The hexadecimal number you want to convert. This number cannot |
| 1423 |
* contain more than 10 characters (40 bits). The most significant |
| 1424 |
* bit of number is the sign bit. The remaining 39 bits are magnitude |
| 1425 |
* bits. Negative numbers are represented using two's-complement |
| 1426 |
* notation. |
| 1427 |
* If number is not a valid hexadecimal number, HEX2DEC returns the |
| 1428 |
* #NUM! error value. |
| 1429 |
* @return string |
| 1430 |
*/ |
| 1431 |
public static function HEXTODEC($x) { |
| 1432 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1433 |
|
| 1434 |
if (is_bool($x)) { |
| 1435 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1436 |
} |
| 1437 |
$x = (string) $x; |
| 1438 |
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) { |
| 1439 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1440 |
} |
| 1441 |
return hexdec($x); |
| 1442 |
} // function HEXTODEC() |
| 1443 |
|
| 1444 |
|
| 1445 |
/** |
| 1446 |
* HEXTOOCT |
| 1447 |
* |
| 1448 |
* Return a hex value as octal. |
| 1449 |
* |
| 1450 |
* Excel Function: |
| 1451 |
* HEX2OCT(x[,places]) |
| 1452 |
* |
| 1453 |
* @access public |
| 1454 |
* @category Engineering Functions |
| 1455 |
* @param string $x The hexadecimal number you want to convert. Number cannot |
| 1456 |
* contain more than 10 characters. The most significant bit of |
| 1457 |
* number is the sign bit. The remaining 39 bits are magnitude |
| 1458 |
* bits. Negative numbers are represented using two's-complement |
| 1459 |
* notation. |
| 1460 |
* If number is negative, HEX2OCT ignores places and returns a |
| 1461 |
* 10-character octal number. |
| 1462 |
* If number is negative, it cannot be less than FFE0000000, and |
| 1463 |
* if number is positive, it cannot be greater than 1FFFFFFF. |
| 1464 |
* If number is not a valid hexadecimal number, HEX2OCT returns |
| 1465 |
* the #NUM! error value. |
| 1466 |
* If HEX2OCT requires more than places characters, it returns |
| 1467 |
* the #NUM! error value. |
| 1468 |
* @param integer $places The number of characters to use. If places is omitted, HEX2OCT |
| 1469 |
* uses the minimum number of characters necessary. Places is |
| 1470 |
* useful for padding the return value with leading 0s (zeros). |
| 1471 |
* If places is not an integer, it is truncated. |
| 1472 |
* If places is nonnumeric, HEX2OCT returns the #VALUE! error |
| 1473 |
* value. |
| 1474 |
* If places is negative, HEX2OCT returns the #NUM! error value. |
| 1475 |
* @return string |
| 1476 |
*/ |
| 1477 |
public static function HEXTOOCT($x, $places=null) { |
| 1478 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1479 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1480 |
|
| 1481 |
if (is_bool($x)) { |
| 1482 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1483 |
} |
| 1484 |
$x = (string) $x; |
| 1485 |
if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) { |
| 1486 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1487 |
} |
| 1488 |
$octVal = decoct(hexdec($x)); |
| 1489 |
|
| 1490 |
return self::_nbrConversionFormat($octVal,$places); |
| 1491 |
} // function HEXTOOCT() |
| 1492 |
|
| 1493 |
|
| 1494 |
/** |
| 1495 |
* OCTTOBIN |
| 1496 |
* |
| 1497 |
* Return an octal value as binary. |
| 1498 |
* |
| 1499 |
* Excel Function: |
| 1500 |
* OCT2BIN(x[,places]) |
| 1501 |
* |
| 1502 |
* @access public |
| 1503 |
* @category Engineering Functions |
| 1504 |
* @param string $x The octal number you want to convert. Number may not |
| 1505 |
* contain more than 10 characters. The most significant |
| 1506 |
* bit of number is the sign bit. The remaining 29 bits |
| 1507 |
* are magnitude bits. Negative numbers are represented |
| 1508 |
* using two's-complement notation. |
| 1509 |
* If number is negative, OCT2BIN ignores places and returns |
| 1510 |
* a 10-character binary number. |
| 1511 |
* If number is negative, it cannot be less than 7777777000, |
| 1512 |
* and if number is positive, it cannot be greater than 777. |
| 1513 |
* If number is not a valid octal number, OCT2BIN returns |
| 1514 |
* the #NUM! error value. |
| 1515 |
* If OCT2BIN requires more than places characters, it |
| 1516 |
* returns the #NUM! error value. |
| 1517 |
* @param integer $places The number of characters to use. If places is omitted, |
| 1518 |
* OCT2BIN uses the minimum number of characters necessary. |
| 1519 |
* Places is useful for padding the return value with |
| 1520 |
* leading 0s (zeros). |
| 1521 |
* If places is not an integer, it is truncated. |
| 1522 |
* If places is nonnumeric, OCT2BIN returns the #VALUE! |
| 1523 |
* error value. |
| 1524 |
* If places is negative, OCT2BIN returns the #NUM! error |
| 1525 |
* value. |
| 1526 |
* @return string |
| 1527 |
*/ |
| 1528 |
public static function OCTTOBIN($x, $places=null) { |
| 1529 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1530 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1531 |
|
| 1532 |
if (is_bool($x)) { |
| 1533 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1534 |
} |
| 1535 |
$x = (string) $x; |
| 1536 |
if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) { |
| 1537 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1538 |
} |
| 1539 |
$r = decbin(octdec($x)); |
| 1540 |
|
| 1541 |
return self::_nbrConversionFormat($r,$places); |
| 1542 |
} // function OCTTOBIN() |
| 1543 |
|
| 1544 |
|
| 1545 |
/** |
| 1546 |
* OCTTODEC |
| 1547 |
* |
| 1548 |
* Return an octal value as decimal. |
| 1549 |
* |
| 1550 |
* Excel Function: |
| 1551 |
* OCT2DEC(x) |
| 1552 |
* |
| 1553 |
* @access public |
| 1554 |
* @category Engineering Functions |
| 1555 |
* @param string $x The octal number you want to convert. Number may not contain |
| 1556 |
* more than 10 octal characters (30 bits). The most significant |
| 1557 |
* bit of number is the sign bit. The remaining 29 bits are |
| 1558 |
* magnitude bits. Negative numbers are represented using |
| 1559 |
* two's-complement notation. |
| 1560 |
* If number is not a valid octal number, OCT2DEC returns the |
| 1561 |
* #NUM! error value. |
| 1562 |
* @return string |
| 1563 |
*/ |
| 1564 |
public static function OCTTODEC($x) { |
| 1565 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1566 |
|
| 1567 |
if (is_bool($x)) { |
| 1568 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1569 |
} |
| 1570 |
$x = (string) $x; |
| 1571 |
if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) { |
| 1572 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1573 |
} |
| 1574 |
return octdec($x); |
| 1575 |
} // function OCTTODEC() |
| 1576 |
|
| 1577 |
|
| 1578 |
/** |
| 1579 |
* OCTTOHEX |
| 1580 |
* |
| 1581 |
* Return an octal value as hex. |
| 1582 |
* |
| 1583 |
* Excel Function: |
| 1584 |
* OCT2HEX(x[,places]) |
| 1585 |
* |
| 1586 |
* @access public |
| 1587 |
* @category Engineering Functions |
| 1588 |
* @param string $x The octal number you want to convert. Number may not contain |
| 1589 |
* more than 10 octal characters (30 bits). The most significant |
| 1590 |
* bit of number is the sign bit. The remaining 29 bits are |
| 1591 |
* magnitude bits. Negative numbers are represented using |
| 1592 |
* two's-complement notation. |
| 1593 |
* If number is negative, OCT2HEX ignores places and returns a |
| 1594 |
* 10-character hexadecimal number. |
| 1595 |
* If number is not a valid octal number, OCT2HEX returns the |
| 1596 |
* #NUM! error value. |
| 1597 |
* If OCT2HEX requires more than places characters, it returns |
| 1598 |
* the #NUM! error value. |
| 1599 |
* @param integer $places The number of characters to use. If places is omitted, OCT2HEX |
| 1600 |
* uses the minimum number of characters necessary. Places is useful |
| 1601 |
* for padding the return value with leading 0s (zeros). |
| 1602 |
* If places is not an integer, it is truncated. |
| 1603 |
* If places is nonnumeric, OCT2HEX returns the #VALUE! error value. |
| 1604 |
* If places is negative, OCT2HEX returns the #NUM! error value. |
| 1605 |
* @return string |
| 1606 |
*/ |
| 1607 |
public static function OCTTOHEX($x, $places=null) { |
| 1608 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 1609 |
$places = PHPExcel_Calculation_Functions::flattenSingleValue($places); |
| 1610 |
|
| 1611 |
if (is_bool($x)) { |
| 1612 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1613 |
} |
| 1614 |
$x = (string) $x; |
| 1615 |
if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) { |
| 1616 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1617 |
} |
| 1618 |
$hexVal = strtoupper(dechex(octdec($x))); |
| 1619 |
|
| 1620 |
return self::_nbrConversionFormat($hexVal,$places); |
| 1621 |
} // function OCTTOHEX() |
| 1622 |
|
| 1623 |
|
| 1624 |
/** |
| 1625 |
* COMPLEX |
| 1626 |
* |
| 1627 |
* Converts real and imaginary coefficients into a complex number of the form x + yi or x + yj. |
| 1628 |
* |
| 1629 |
* Excel Function: |
| 1630 |
* COMPLEX(realNumber,imaginary[,places]) |
| 1631 |
* |
| 1632 |
* @access public |
| 1633 |
* @category Engineering Functions |
| 1634 |
* @param float $realNumber The real coefficient of the complex number. |
| 1635 |
* @param float $imaginary The imaginary coefficient of the complex number. |
| 1636 |
* @param string $suffix The suffix for the imaginary component of the complex number. |
| 1637 |
* If omitted, the suffix is assumed to be "i". |
| 1638 |
* @return string |
| 1639 |
*/ |
| 1640 |
public static function COMPLEX($realNumber=0.0, $imaginary=0.0, $suffix='i') { |
| 1641 |
$realNumber = (is_null($realNumber)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($realNumber); |
| 1642 |
$imaginary = (is_null($imaginary)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($imaginary); |
| 1643 |
$suffix = (is_null($suffix)) ? 'i' : PHPExcel_Calculation_Functions::flattenSingleValue($suffix); |
| 1644 |
|
| 1645 |
if (((is_numeric($realNumber)) && (is_numeric($imaginary))) && |
| 1646 |
(($suffix == 'i') || ($suffix == 'j') || ($suffix == ''))) { |
| 1647 |
$realNumber = (float) $realNumber; |
| 1648 |
$imaginary = (float) $imaginary; |
| 1649 |
|
| 1650 |
if ($suffix == '') $suffix = 'i'; |
| 1651 |
if ($realNumber == 0.0) { |
| 1652 |
if ($imaginary == 0.0) { |
| 1653 |
return (string) '0'; |
| 1654 |
} elseif ($imaginary == 1.0) { |
| 1655 |
return (string) $suffix; |
| 1656 |
} elseif ($imaginary == -1.0) { |
| 1657 |
return (string) '-'.$suffix; |
| 1658 |
} |
| 1659 |
return (string) $imaginary.$suffix; |
| 1660 |
} elseif ($imaginary == 0.0) { |
| 1661 |
return (string) $realNumber; |
| 1662 |
} elseif ($imaginary == 1.0) { |
| 1663 |
return (string) $realNumber.'+'.$suffix; |
| 1664 |
} elseif ($imaginary == -1.0) { |
| 1665 |
return (string) $realNumber.'-'.$suffix; |
| 1666 |
} |
| 1667 |
if ($imaginary > 0) { $imaginary = (string) '+'.$imaginary; } |
| 1668 |
return (string) $realNumber.$imaginary.$suffix; |
| 1669 |
} |
| 1670 |
|
| 1671 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 1672 |
} // function COMPLEX() |
| 1673 |
|
| 1674 |
|
| 1675 |
/** |
| 1676 |
* IMAGINARY |
| 1677 |
* |
| 1678 |
* Returns the imaginary coefficient of a complex number in x + yi or x + yj text format. |
| 1679 |
* |
| 1680 |
* Excel Function: |
| 1681 |
* IMAGINARY(complexNumber) |
| 1682 |
* |
| 1683 |
* @access public |
| 1684 |
* @category Engineering Functions |
| 1685 |
* @param string $complexNumber The complex number for which you want the imaginary |
| 1686 |
* coefficient. |
| 1687 |
* @return float |
| 1688 |
*/ |
| 1689 |
public static function IMAGINARY($complexNumber) { |
| 1690 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1691 |
|
| 1692 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1693 |
return $parsedComplex['imaginary']; |
| 1694 |
} // function IMAGINARY() |
| 1695 |
|
| 1696 |
|
| 1697 |
/** |
| 1698 |
* IMREAL |
| 1699 |
* |
| 1700 |
* Returns the real coefficient of a complex number in x + yi or x + yj text format. |
| 1701 |
* |
| 1702 |
* Excel Function: |
| 1703 |
* IMREAL(complexNumber) |
| 1704 |
* |
| 1705 |
* @access public |
| 1706 |
* @category Engineering Functions |
| 1707 |
* @param string $complexNumber The complex number for which you want the real coefficient. |
| 1708 |
* @return float |
| 1709 |
*/ |
| 1710 |
public static function IMREAL($complexNumber) { |
| 1711 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1712 |
|
| 1713 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1714 |
return $parsedComplex['real']; |
| 1715 |
} // function IMREAL() |
| 1716 |
|
| 1717 |
|
| 1718 |
/** |
| 1719 |
* IMABS |
| 1720 |
* |
| 1721 |
* Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format. |
| 1722 |
* |
| 1723 |
* Excel Function: |
| 1724 |
* IMABS(complexNumber) |
| 1725 |
* |
| 1726 |
* @param string $complexNumber The complex number for which you want the absolute value. |
| 1727 |
* @return float |
| 1728 |
*/ |
| 1729 |
public static function IMABS($complexNumber) { |
| 1730 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1731 |
|
| 1732 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1733 |
|
| 1734 |
return sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])); |
| 1735 |
} // function IMABS() |
| 1736 |
|
| 1737 |
|
| 1738 |
/** |
| 1739 |
* IMARGUMENT |
| 1740 |
* |
| 1741 |
* Returns the argument theta of a complex number, i.e. the angle in radians from the real |
| 1742 |
* axis to the representation of the number in polar coordinates. |
| 1743 |
* |
| 1744 |
* Excel Function: |
| 1745 |
* IMARGUMENT(complexNumber) |
| 1746 |
* |
| 1747 |
* @param string $complexNumber The complex number for which you want the argument theta. |
| 1748 |
* @return float |
| 1749 |
*/ |
| 1750 |
public static function IMARGUMENT($complexNumber) { |
| 1751 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1752 |
|
| 1753 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1754 |
|
| 1755 |
if ($parsedComplex['real'] == 0.0) { |
| 1756 |
if ($parsedComplex['imaginary'] == 0.0) { |
| 1757 |
return 0.0; |
| 1758 |
} elseif($parsedComplex['imaginary'] < 0.0) { |
| 1759 |
return M_PI / -2; |
| 1760 |
} else { |
| 1761 |
return M_PI / 2; |
| 1762 |
} |
| 1763 |
} elseif ($parsedComplex['real'] > 0.0) { |
| 1764 |
return atan($parsedComplex['imaginary'] / $parsedComplex['real']); |
| 1765 |
} elseif ($parsedComplex['imaginary'] < 0.0) { |
| 1766 |
return 0 - (M_PI - atan(abs($parsedComplex['imaginary']) / abs($parsedComplex['real']))); |
| 1767 |
} else { |
| 1768 |
return M_PI - atan($parsedComplex['imaginary'] / abs($parsedComplex['real'])); |
| 1769 |
} |
| 1770 |
} // function IMARGUMENT() |
| 1771 |
|
| 1772 |
|
| 1773 |
/** |
| 1774 |
* IMCONJUGATE |
| 1775 |
* |
| 1776 |
* Returns the complex conjugate of a complex number in x + yi or x + yj text format. |
| 1777 |
* |
| 1778 |
* Excel Function: |
| 1779 |
* IMCONJUGATE(complexNumber) |
| 1780 |
* |
| 1781 |
* @param string $complexNumber The complex number for which you want the conjugate. |
| 1782 |
* @return string |
| 1783 |
*/ |
| 1784 |
public static function IMCONJUGATE($complexNumber) { |
| 1785 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1786 |
|
| 1787 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1788 |
|
| 1789 |
if ($parsedComplex['imaginary'] == 0.0) { |
| 1790 |
return $parsedComplex['real']; |
| 1791 |
} else { |
| 1792 |
return self::_cleanComplex( self::COMPLEX( $parsedComplex['real'], |
| 1793 |
0 - $parsedComplex['imaginary'], |
| 1794 |
$parsedComplex['suffix'] |
| 1795 |
) |
| 1796 |
); |
| 1797 |
} |
| 1798 |
} // function IMCONJUGATE() |
| 1799 |
|
| 1800 |
|
| 1801 |
/** |
| 1802 |
* IMCOS |
| 1803 |
* |
| 1804 |
* Returns the cosine of a complex number in x + yi or x + yj text format. |
| 1805 |
* |
| 1806 |
* Excel Function: |
| 1807 |
* IMCOS(complexNumber) |
| 1808 |
* |
| 1809 |
* @param string $complexNumber The complex number for which you want the cosine. |
| 1810 |
* @return string|float |
| 1811 |
*/ |
| 1812 |
public static function IMCOS($complexNumber) { |
| 1813 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1814 |
|
| 1815 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1816 |
|
| 1817 |
if ($parsedComplex['imaginary'] == 0.0) { |
| 1818 |
return cos($parsedComplex['real']); |
| 1819 |
} else { |
| 1820 |
return self::IMCONJUGATE(self::COMPLEX(cos($parsedComplex['real']) * cosh($parsedComplex['imaginary']),sin($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix'])); |
| 1821 |
} |
| 1822 |
} // function IMCOS() |
| 1823 |
|
| 1824 |
|
| 1825 |
/** |
| 1826 |
* IMSIN |
| 1827 |
* |
| 1828 |
* Returns the sine of a complex number in x + yi or x + yj text format. |
| 1829 |
* |
| 1830 |
* Excel Function: |
| 1831 |
* IMSIN(complexNumber) |
| 1832 |
* |
| 1833 |
* @param string $complexNumber The complex number for which you want the sine. |
| 1834 |
* @return string|float |
| 1835 |
*/ |
| 1836 |
public static function IMSIN($complexNumber) { |
| 1837 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1838 |
|
| 1839 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1840 |
|
| 1841 |
if ($parsedComplex['imaginary'] == 0.0) { |
| 1842 |
return sin($parsedComplex['real']); |
| 1843 |
} else { |
| 1844 |
return self::COMPLEX(sin($parsedComplex['real']) * cosh($parsedComplex['imaginary']),cos($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix']); |
| 1845 |
} |
| 1846 |
} // function IMSIN() |
| 1847 |
|
| 1848 |
|
| 1849 |
/** |
| 1850 |
* IMSQRT |
| 1851 |
* |
| 1852 |
* Returns the square root of a complex number in x + yi or x + yj text format. |
| 1853 |
* |
| 1854 |
* Excel Function: |
| 1855 |
* IMSQRT(complexNumber) |
| 1856 |
* |
| 1857 |
* @param string $complexNumber The complex number for which you want the square root. |
| 1858 |
* @return string |
| 1859 |
*/ |
| 1860 |
public static function IMSQRT($complexNumber) { |
| 1861 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1862 |
|
| 1863 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1864 |
|
| 1865 |
$theta = self::IMARGUMENT($complexNumber); |
| 1866 |
$d1 = cos($theta / 2); |
| 1867 |
$d2 = sin($theta / 2); |
| 1868 |
$r = sqrt(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']))); |
| 1869 |
|
| 1870 |
if ($parsedComplex['suffix'] == '') { |
| 1871 |
return self::COMPLEX($d1 * $r,$d2 * $r); |
| 1872 |
} else { |
| 1873 |
return self::COMPLEX($d1 * $r,$d2 * $r,$parsedComplex['suffix']); |
| 1874 |
} |
| 1875 |
} // function IMSQRT() |
| 1876 |
|
| 1877 |
|
| 1878 |
/** |
| 1879 |
* IMLN |
| 1880 |
* |
| 1881 |
* Returns the natural logarithm of a complex number in x + yi or x + yj text format. |
| 1882 |
* |
| 1883 |
* Excel Function: |
| 1884 |
* IMLN(complexNumber) |
| 1885 |
* |
| 1886 |
* @param string $complexNumber The complex number for which you want the natural logarithm. |
| 1887 |
* @return string |
| 1888 |
*/ |
| 1889 |
public static function IMLN($complexNumber) { |
| 1890 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1891 |
|
| 1892 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1893 |
|
| 1894 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
| 1895 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1896 |
} |
| 1897 |
|
| 1898 |
$logR = log(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']))); |
| 1899 |
$t = self::IMARGUMENT($complexNumber); |
| 1900 |
|
| 1901 |
if ($parsedComplex['suffix'] == '') { |
| 1902 |
return self::COMPLEX($logR,$t); |
| 1903 |
} else { |
| 1904 |
return self::COMPLEX($logR,$t,$parsedComplex['suffix']); |
| 1905 |
} |
| 1906 |
} // function IMLN() |
| 1907 |
|
| 1908 |
|
| 1909 |
/** |
| 1910 |
* IMLOG10 |
| 1911 |
* |
| 1912 |
* Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format. |
| 1913 |
* |
| 1914 |
* Excel Function: |
| 1915 |
* IMLOG10(complexNumber) |
| 1916 |
* |
| 1917 |
* @param string $complexNumber The complex number for which you want the common logarithm. |
| 1918 |
* @return string |
| 1919 |
*/ |
| 1920 |
public static function IMLOG10($complexNumber) { |
| 1921 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1922 |
|
| 1923 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1924 |
|
| 1925 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
| 1926 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1927 |
} elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
| 1928 |
return log10($parsedComplex['real']); |
| 1929 |
} |
| 1930 |
|
| 1931 |
return self::IMPRODUCT(log10(EULER),self::IMLN($complexNumber)); |
| 1932 |
} // function IMLOG10() |
| 1933 |
|
| 1934 |
|
| 1935 |
/** |
| 1936 |
* IMLOG2 |
| 1937 |
* |
| 1938 |
* Returns the base-2 logarithm of a complex number in x + yi or x + yj text format. |
| 1939 |
* |
| 1940 |
* Excel Function: |
| 1941 |
* IMLOG2(complexNumber) |
| 1942 |
* |
| 1943 |
* @param string $complexNumber The complex number for which you want the base-2 logarithm. |
| 1944 |
* @return string |
| 1945 |
*/ |
| 1946 |
public static function IMLOG2($complexNumber) { |
| 1947 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1948 |
|
| 1949 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1950 |
|
| 1951 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
| 1952 |
return PHPExcel_Calculation_Functions::NaN(); |
| 1953 |
} elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
| 1954 |
return log($parsedComplex['real'],2); |
| 1955 |
} |
| 1956 |
|
| 1957 |
return self::IMPRODUCT(log(EULER,2),self::IMLN($complexNumber)); |
| 1958 |
} // function IMLOG2() |
| 1959 |
|
| 1960 |
|
| 1961 |
/** |
| 1962 |
* IMEXP |
| 1963 |
* |
| 1964 |
* Returns the exponential of a complex number in x + yi or x + yj text format. |
| 1965 |
* |
| 1966 |
* Excel Function: |
| 1967 |
* IMEXP(complexNumber) |
| 1968 |
* |
| 1969 |
* @param string $complexNumber The complex number for which you want the exponential. |
| 1970 |
* @return string |
| 1971 |
*/ |
| 1972 |
public static function IMEXP($complexNumber) { |
| 1973 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 1974 |
|
| 1975 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 1976 |
|
| 1977 |
if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) { |
| 1978 |
return '1'; |
| 1979 |
} |
| 1980 |
|
| 1981 |
$e = exp($parsedComplex['real']); |
| 1982 |
$eX = $e * cos($parsedComplex['imaginary']); |
| 1983 |
$eY = $e * sin($parsedComplex['imaginary']); |
| 1984 |
|
| 1985 |
if ($parsedComplex['suffix'] == '') { |
| 1986 |
return self::COMPLEX($eX,$eY); |
| 1987 |
} else { |
| 1988 |
return self::COMPLEX($eX,$eY,$parsedComplex['suffix']); |
| 1989 |
} |
| 1990 |
} // function IMEXP() |
| 1991 |
|
| 1992 |
|
| 1993 |
/** |
| 1994 |
* IMPOWER |
| 1995 |
* |
| 1996 |
* Returns a complex number in x + yi or x + yj text format raised to a power. |
| 1997 |
* |
| 1998 |
* Excel Function: |
| 1999 |
* IMPOWER(complexNumber,realNumber) |
| 2000 |
* |
| 2001 |
* @param string $complexNumber The complex number you want to raise to a power. |
| 2002 |
* @param float $realNumber The power to which you want to raise the complex number. |
| 2003 |
* @return string |
| 2004 |
*/ |
| 2005 |
public static function IMPOWER($complexNumber,$realNumber) { |
| 2006 |
$complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber); |
| 2007 |
$realNumber = PHPExcel_Calculation_Functions::flattenSingleValue($realNumber); |
| 2008 |
|
| 2009 |
if (!is_numeric($realNumber)) { |
| 2010 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 2011 |
} |
| 2012 |
|
| 2013 |
$parsedComplex = self::_parseComplex($complexNumber); |
| 2014 |
|
| 2015 |
$r = sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])); |
| 2016 |
$rPower = pow($r,$realNumber); |
| 2017 |
$theta = self::IMARGUMENT($complexNumber) * $realNumber; |
| 2018 |
if ($theta == 0) { |
| 2019 |
return 1; |
| 2020 |
} elseif ($parsedComplex['imaginary'] == 0.0) { |
| 2021 |
return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']); |
| 2022 |
} else { |
| 2023 |
return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']); |
| 2024 |
} |
| 2025 |
} // function IMPOWER() |
| 2026 |
|
| 2027 |
|
| 2028 |
/** |
| 2029 |
* IMDIV |
| 2030 |
* |
| 2031 |
* Returns the quotient of two complex numbers in x + yi or x + yj text format. |
| 2032 |
* |
| 2033 |
* Excel Function: |
| 2034 |
* IMDIV(complexDividend,complexDivisor) |
| 2035 |
* |
| 2036 |
* @param string $complexDividend The complex numerator or dividend. |
| 2037 |
* @param string $complexDivisor The complex denominator or divisor. |
| 2038 |
* @return string |
| 2039 |
*/ |
| 2040 |
public static function IMDIV($complexDividend,$complexDivisor) { |
| 2041 |
$complexDividend = PHPExcel_Calculation_Functions::flattenSingleValue($complexDividend); |
| 2042 |
$complexDivisor = PHPExcel_Calculation_Functions::flattenSingleValue($complexDivisor); |
| 2043 |
|
| 2044 |
$parsedComplexDividend = self::_parseComplex($complexDividend); |
| 2045 |
$parsedComplexDivisor = self::_parseComplex($complexDivisor); |
| 2046 |
|
| 2047 |
if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] != '') && |
| 2048 |
($parsedComplexDividend['suffix'] != $parsedComplexDivisor['suffix'])) { |
| 2049 |
return PHPExcel_Calculation_Functions::NaN(); |
| 2050 |
} |
| 2051 |
if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] == '')) { |
| 2052 |
$parsedComplexDivisor['suffix'] = $parsedComplexDividend['suffix']; |
| 2053 |
} |
| 2054 |
|
| 2055 |
$d1 = ($parsedComplexDividend['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['imaginary']); |
| 2056 |
$d2 = ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['real']) - ($parsedComplexDividend['real'] * $parsedComplexDivisor['imaginary']); |
| 2057 |
$d3 = ($parsedComplexDivisor['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDivisor['imaginary'] * $parsedComplexDivisor['imaginary']); |
| 2058 |
|
| 2059 |
$r = $d1/$d3; |
| 2060 |
$i = $d2/$d3; |
| 2061 |
|
| 2062 |
if ($i > 0.0) { |
| 2063 |
return self::_cleanComplex($r.'+'.$i.$parsedComplexDivisor['suffix']); |
| 2064 |
} elseif ($i < 0.0) { |
| 2065 |
return self::_cleanComplex($r.$i.$parsedComplexDivisor['suffix']); |
| 2066 |
} else { |
| 2067 |
return $r; |
| 2068 |
} |
| 2069 |
} // function IMDIV() |
| 2070 |
|
| 2071 |
|
| 2072 |
/** |
| 2073 |
* IMSUB |
| 2074 |
* |
| 2075 |
* Returns the difference of two complex numbers in x + yi or x + yj text format. |
| 2076 |
* |
| 2077 |
* Excel Function: |
| 2078 |
* IMSUB(complexNumber1,complexNumber2) |
| 2079 |
* |
| 2080 |
* @param string $complexNumber1 The complex number from which to subtract complexNumber2. |
| 2081 |
* @param string $complexNumber2 The complex number to subtract from complexNumber1. |
| 2082 |
* @return string |
| 2083 |
*/ |
| 2084 |
public static function IMSUB($complexNumber1,$complexNumber2) { |
| 2085 |
$complexNumber1 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber1); |
| 2086 |
$complexNumber2 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber2); |
| 2087 |
|
| 2088 |
$parsedComplex1 = self::_parseComplex($complexNumber1); |
| 2089 |
$parsedComplex2 = self::_parseComplex($complexNumber2); |
| 2090 |
|
| 2091 |
if ((($parsedComplex1['suffix'] != '') && ($parsedComplex2['suffix'] != '')) && |
| 2092 |
($parsedComplex1['suffix'] != $parsedComplex2['suffix'])) { |
| 2093 |
return PHPExcel_Calculation_Functions::NaN(); |
| 2094 |
} elseif (($parsedComplex1['suffix'] == '') && ($parsedComplex2['suffix'] != '')) { |
| 2095 |
$parsedComplex1['suffix'] = $parsedComplex2['suffix']; |
| 2096 |
} |
| 2097 |
|
| 2098 |
$d1 = $parsedComplex1['real'] - $parsedComplex2['real']; |
| 2099 |
$d2 = $parsedComplex1['imaginary'] - $parsedComplex2['imaginary']; |
| 2100 |
|
| 2101 |
return self::COMPLEX($d1,$d2,$parsedComplex1['suffix']); |
| 2102 |
} // function IMSUB() |
| 2103 |
|
| 2104 |
|
| 2105 |
/** |
| 2106 |
* IMSUM |
| 2107 |
* |
| 2108 |
* Returns the sum of two or more complex numbers in x + yi or x + yj text format. |
| 2109 |
* |
| 2110 |
* Excel Function: |
| 2111 |
* IMSUM(complexNumber[,complexNumber[,...]]) |
| 2112 |
* |
| 2113 |
* @param string $complexNumber,... Series of complex numbers to add |
| 2114 |
* @return string |
| 2115 |
*/ |
| 2116 |
public static function IMSUM() { |
| 2117 |
// Return value |
| 2118 |
$returnValue = self::_parseComplex('0'); |
| 2119 |
$activeSuffix = ''; |
| 2120 |
|
| 2121 |
// Loop through the arguments |
| 2122 |
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args()); |
| 2123 |
foreach ($aArgs as $arg) { |
| 2124 |
$parsedComplex = self::_parseComplex($arg); |
| 2125 |
|
| 2126 |
if ($activeSuffix == '') { |
| 2127 |
$activeSuffix = $parsedComplex['suffix']; |
| 2128 |
} elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) { |
| 2129 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 2130 |
} |
| 2131 |
|
| 2132 |
$returnValue['real'] += $parsedComplex['real']; |
| 2133 |
$returnValue['imaginary'] += $parsedComplex['imaginary']; |
| 2134 |
} |
| 2135 |
|
| 2136 |
if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; } |
| 2137 |
return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix); |
| 2138 |
} // function IMSUM() |
| 2139 |
|
| 2140 |
|
| 2141 |
/** |
| 2142 |
* IMPRODUCT |
| 2143 |
* |
| 2144 |
* Returns the product of two or more complex numbers in x + yi or x + yj text format. |
| 2145 |
* |
| 2146 |
* Excel Function: |
| 2147 |
* IMPRODUCT(complexNumber[,complexNumber[,...]]) |
| 2148 |
* |
| 2149 |
* @param string $complexNumber,... Series of complex numbers to multiply |
| 2150 |
* @return string |
| 2151 |
*/ |
| 2152 |
public static function IMPRODUCT() { |
| 2153 |
// Return value |
| 2154 |
$returnValue = self::_parseComplex('1'); |
| 2155 |
$activeSuffix = ''; |
| 2156 |
|
| 2157 |
// Loop through the arguments |
| 2158 |
$aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args()); |
| 2159 |
foreach ($aArgs as $arg) { |
| 2160 |
$parsedComplex = self::_parseComplex($arg); |
| 2161 |
|
| 2162 |
$workValue = $returnValue; |
| 2163 |
if (($parsedComplex['suffix'] != '') && ($activeSuffix == '')) { |
| 2164 |
$activeSuffix = $parsedComplex['suffix']; |
| 2165 |
} elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) { |
| 2166 |
return PHPExcel_Calculation_Functions::NaN(); |
| 2167 |
} |
| 2168 |
$returnValue['real'] = ($workValue['real'] * $parsedComplex['real']) - ($workValue['imaginary'] * $parsedComplex['imaginary']); |
| 2169 |
$returnValue['imaginary'] = ($workValue['real'] * $parsedComplex['imaginary']) + ($workValue['imaginary'] * $parsedComplex['real']); |
| 2170 |
} |
| 2171 |
|
| 2172 |
if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; } |
| 2173 |
return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix); |
| 2174 |
} // function IMPRODUCT() |
| 2175 |
|
| 2176 |
|
| 2177 |
/** |
| 2178 |
* DELTA |
| 2179 |
* |
| 2180 |
* Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise. |
| 2181 |
* Use this function to filter a set of values. For example, by summing several DELTA |
| 2182 |
* functions you calculate the count of equal pairs. This function is also known as the |
| 2183 |
* Kronecker Delta function. |
| 2184 |
* |
| 2185 |
* Excel Function: |
| 2186 |
* DELTA(a[,b]) |
| 2187 |
* |
| 2188 |
* @param float $a The first number. |
| 2189 |
* @param float $b The second number. If omitted, b is assumed to be zero. |
| 2190 |
* @return int |
| 2191 |
*/ |
| 2192 |
public static function DELTA($a, $b=0) { |
| 2193 |
$a = PHPExcel_Calculation_Functions::flattenSingleValue($a); |
| 2194 |
$b = PHPExcel_Calculation_Functions::flattenSingleValue($b); |
| 2195 |
|
| 2196 |
return (int) ($a == $b); |
| 2197 |
} // function DELTA() |
| 2198 |
|
| 2199 |
|
| 2200 |
/** |
| 2201 |
* GESTEP |
| 2202 |
* |
| 2203 |
* Excel Function: |
| 2204 |
* GESTEP(number[,step]) |
| 2205 |
* |
| 2206 |
* Returns 1 if number >= step; returns 0 (zero) otherwise |
| 2207 |
* Use this function to filter a set of values. For example, by summing several GESTEP |
| 2208 |
* functions you calculate the count of values that exceed a threshold. |
| 2209 |
* |
| 2210 |
* @param float $number The value to test against step. |
| 2211 |
* @param float $step The threshold value. |
| 2212 |
* If you omit a value for step, GESTEP uses zero. |
| 2213 |
* @return int |
| 2214 |
*/ |
| 2215 |
public static function GESTEP($number, $step=0) { |
| 2216 |
$number = PHPExcel_Calculation_Functions::flattenSingleValue($number); |
| 2217 |
$step = PHPExcel_Calculation_Functions::flattenSingleValue($step); |
| 2218 |
|
| 2219 |
return (int) ($number >= $step); |
| 2220 |
} // function GESTEP() |
| 2221 |
|
| 2222 |
|
| 2223 |
// |
| 2224 |
// Private method to calculate the erf value |
| 2225 |
// |
| 2226 |
private static $_two_sqrtpi = 1.128379167095512574; |
| 2227 |
|
| 2228 |
public static function _erfVal($x) { |
| 2229 |
if (abs($x) > 2.2) { |
| 2230 |
return 1 - self::_erfcVal($x); |
| 2231 |
} |
| 2232 |
$sum = $term = $x; |
| 2233 |
$xsqr = ($x * $x); |
| 2234 |
$j = 1; |
| 2235 |
do { |
| 2236 |
$term *= $xsqr / $j; |
| 2237 |
$sum -= $term / (2 * $j + 1); |
| 2238 |
++$j; |
| 2239 |
$term *= $xsqr / $j; |
| 2240 |
$sum += $term / (2 * $j + 1); |
| 2241 |
++$j; |
| 2242 |
if ($sum == 0.0) { |
| 2243 |
break; |
| 2244 |
} |
| 2245 |
} while (abs($term / $sum) > PRECISION); |
| 2246 |
return self::$_two_sqrtpi * $sum; |
| 2247 |
} // function _erfVal() |
| 2248 |
|
| 2249 |
|
| 2250 |
/** |
| 2251 |
* ERF |
| 2252 |
* |
| 2253 |
* Returns the error function integrated between the lower and upper bound arguments. |
| 2254 |
* |
| 2255 |
* Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments, |
| 2256 |
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was |
| 2257 |
* improved, so that it can now calculate the function for both positive and negative ranges. |
| 2258 |
* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments. |
| 2259 |
* |
| 2260 |
* Excel Function: |
| 2261 |
* ERF(lower[,upper]) |
| 2262 |
* |
| 2263 |
* @param float $lower lower bound for integrating ERF |
| 2264 |
* @param float $upper upper bound for integrating ERF. |
| 2265 |
* If omitted, ERF integrates between zero and lower_limit |
| 2266 |
* @return float |
| 2267 |
*/ |
| 2268 |
public static function ERF($lower, $upper = NULL) { |
| 2269 |
$lower = PHPExcel_Calculation_Functions::flattenSingleValue($lower); |
| 2270 |
$upper = PHPExcel_Calculation_Functions::flattenSingleValue($upper); |
| 2271 |
|
| 2272 |
if (is_numeric($lower)) { |
| 2273 |
if (is_null($upper)) { |
| 2274 |
return self::_erfVal($lower); |
| 2275 |
} |
| 2276 |
if (is_numeric($upper)) { |
| 2277 |
return self::_erfVal($upper) - self::_erfVal($lower); |
| 2278 |
} |
| 2279 |
} |
| 2280 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 2281 |
} // function ERF() |
| 2282 |
|
| 2283 |
|
| 2284 |
// |
| 2285 |
// Private method to calculate the erfc value |
| 2286 |
// |
| 2287 |
private static $_one_sqrtpi = 0.564189583547756287; |
| 2288 |
|
| 2289 |
private static function _erfcVal($x) { |
| 2290 |
if (abs($x) < 2.2) { |
| 2291 |
return 1 - self::_erfVal($x); |
| 2292 |
} |
| 2293 |
if ($x < 0) { |
| 2294 |
return 2 - self::ERFC(-$x); |
| 2295 |
} |
| 2296 |
$a = $n = 1; |
| 2297 |
$b = $c = $x; |
| 2298 |
$d = ($x * $x) + 0.5; |
| 2299 |
$q1 = $q2 = $b / $d; |
| 2300 |
$t = 0; |
| 2301 |
do { |
| 2302 |
$t = $a * $n + $b * $x; |
| 2303 |
$a = $b; |
| 2304 |
$b = $t; |
| 2305 |
$t = $c * $n + $d * $x; |
| 2306 |
$c = $d; |
| 2307 |
$d = $t; |
| 2308 |
$n += 0.5; |
| 2309 |
$q1 = $q2; |
| 2310 |
$q2 = $b / $d; |
| 2311 |
} while ((abs($q1 - $q2) / $q2) > PRECISION); |
| 2312 |
return self::$_one_sqrtpi * exp(-$x * $x) * $q2; |
| 2313 |
} // function _erfcVal() |
| 2314 |
|
| 2315 |
|
| 2316 |
/** |
| 2317 |
* ERFC |
| 2318 |
* |
| 2319 |
* Returns the complementary ERF function integrated between x and infinity |
| 2320 |
* |
| 2321 |
* Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument, |
| 2322 |
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was |
| 2323 |
* improved, so that it can now calculate the function for both positive and negative x values. |
| 2324 |
* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments. |
| 2325 |
* |
| 2326 |
* Excel Function: |
| 2327 |
* ERFC(x) |
| 2328 |
* |
| 2329 |
* @param float $x The lower bound for integrating ERFC |
| 2330 |
* @return float |
| 2331 |
*/ |
| 2332 |
public static function ERFC($x) { |
| 2333 |
$x = PHPExcel_Calculation_Functions::flattenSingleValue($x); |
| 2334 |
|
| 2335 |
if (is_numeric($x)) { |
| 2336 |
return self::_erfcVal($x); |
| 2337 |
} |
| 2338 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 2339 |
} // function ERFC() |
| 2340 |
|
| 2341 |
|
| 2342 |
/** |
| 2343 |
* getConversionGroups |
| 2344 |
* Returns a list of the different conversion groups for UOM conversions |
| 2345 |
* |
| 2346 |
* @return array |
| 2347 |
*/ |
| 2348 |
public static function getConversionGroups() { |
| 2349 |
$conversionGroups = array(); |
| 2350 |
foreach(self::$_conversionUnits as $conversionUnit) { |
| 2351 |
$conversionGroups[] = $conversionUnit['Group']; |
| 2352 |
} |
| 2353 |
return array_merge(array_unique($conversionGroups)); |
| 2354 |
} // function getConversionGroups() |
| 2355 |
|
| 2356 |
|
| 2357 |
/** |
| 2358 |
* getConversionGroupUnits |
| 2359 |
* Returns an array of units of measure, for a specified conversion group, or for all groups |
| 2360 |
* |
| 2361 |
* @param string $group The group whose units of measure you want to retrieve |
| 2362 |
* @return array |
| 2363 |
*/ |
| 2364 |
public static function getConversionGroupUnits($group = NULL) { |
| 2365 |
$conversionGroups = array(); |
| 2366 |
foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) { |
| 2367 |
if ((is_null($group)) || ($conversionGroup['Group'] == $group)) { |
| 2368 |
$conversionGroups[$conversionGroup['Group']][] = $conversionUnit; |
| 2369 |
} |
| 2370 |
} |
| 2371 |
return $conversionGroups; |
| 2372 |
} // function getConversionGroupUnits() |
| 2373 |
|
| 2374 |
|
| 2375 |
/** |
| 2376 |
* getConversionGroupUnitDetails |
| 2377 |
* |
| 2378 |
* @param string $group The group whose units of measure you want to retrieve |
| 2379 |
* @return array |
| 2380 |
*/ |
| 2381 |
public static function getConversionGroupUnitDetails($group = NULL) { |
| 2382 |
$conversionGroups = array(); |
| 2383 |
foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) { |
| 2384 |
if ((is_null($group)) || ($conversionGroup['Group'] == $group)) { |
| 2385 |
$conversionGroups[$conversionGroup['Group']][] = array( 'unit' => $conversionUnit, |
| 2386 |
'description' => $conversionGroup['Unit Name'] |
| 2387 |
); |
| 2388 |
} |
| 2389 |
} |
| 2390 |
return $conversionGroups; |
| 2391 |
} // function getConversionGroupUnitDetails() |
| 2392 |
|
| 2393 |
|
| 2394 |
/** |
| 2395 |
* getConversionMultipliers |
| 2396 |
* Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() |
| 2397 |
* |
| 2398 |
* @return array of mixed |
| 2399 |
*/ |
| 2400 |
public static function getConversionMultipliers() { |
| 2401 |
return self::$_conversionMultipliers; |
| 2402 |
} // function getConversionGroups() |
| 2403 |
|
| 2404 |
|
| 2405 |
/** |
| 2406 |
* CONVERTUOM |
| 2407 |
* |
| 2408 |
* Converts a number from one measurement system to another. |
| 2409 |
* For example, CONVERT can translate a table of distances in miles to a table of distances |
| 2410 |
* in kilometers. |
| 2411 |
* |
| 2412 |
* Excel Function: |
| 2413 |
* CONVERT(value,fromUOM,toUOM) |
| 2414 |
* |
| 2415 |
* @param float $value The value in fromUOM to convert. |
| 2416 |
* @param string $fromUOM The units for value. |
| 2417 |
* @param string $toUOM The units for the result. |
| 2418 |
* |
| 2419 |
* @return float |
| 2420 |
*/ |
| 2421 |
public static function CONVERTUOM($value, $fromUOM, $toUOM) { |
| 2422 |
$value = PHPExcel_Calculation_Functions::flattenSingleValue($value); |
| 2423 |
$fromUOM = PHPExcel_Calculation_Functions::flattenSingleValue($fromUOM); |
| 2424 |
$toUOM = PHPExcel_Calculation_Functions::flattenSingleValue($toUOM); |
| 2425 |
|
| 2426 |
if (!is_numeric($value)) { |
| 2427 |
return PHPExcel_Calculation_Functions::VALUE(); |
| 2428 |
} |
| 2429 |
$fromMultiplier = 1.0; |
| 2430 |
if (isset(self::$_conversionUnits[$fromUOM])) { |
| 2431 |
$unitGroup1 = self::$_conversionUnits[$fromUOM]['Group']; |
| 2432 |
} else { |
| 2433 |
$fromMultiplier = substr($fromUOM,0,1); |
| 2434 |
$fromUOM = substr($fromUOM,1); |
| 2435 |
if (isset(self::$_conversionMultipliers[$fromMultiplier])) { |
| 2436 |
$fromMultiplier = self::$_conversionMultipliers[$fromMultiplier]['multiplier']; |
| 2437 |
} else { |
| 2438 |
return PHPExcel_Calculation_Functions::NA(); |
| 2439 |
} |
| 2440 |
if ((isset(self::$_conversionUnits[$fromUOM])) && (self::$_conversionUnits[$fromUOM]['AllowPrefix'])) { |
| 2441 |
$unitGroup1 = self::$_conversionUnits[$fromUOM]['Group']; |
| 2442 |
} else { |
| 2443 |
return PHPExcel_Calculation_Functions::NA(); |
| 2444 |
} |
| 2445 |
} |
| 2446 |
$value *= $fromMultiplier; |
| 2447 |
|
| 2448 |
$toMultiplier = 1.0; |
| 2449 |
if (isset(self::$_conversionUnits[$toUOM])) { |
| 2450 |
$unitGroup2 = self::$_conversionUnits[$toUOM]['Group']; |
| 2451 |
} else { |
| 2452 |
$toMultiplier = substr($toUOM,0,1); |
| 2453 |
$toUOM = substr($toUOM,1); |
| 2454 |
if (isset(self::$_conversionMultipliers[$toMultiplier])) { |
| 2455 |
$toMultiplier = self::$_conversionMultipliers[$toMultiplier]['multiplier']; |
| 2456 |
} else { |
| 2457 |
return PHPExcel_Calculation_Functions::NA(); |
| 2458 |
} |
| 2459 |
if ((isset(self::$_conversionUnits[$toUOM])) && (self::$_conversionUnits[$toUOM]['AllowPrefix'])) { |
| 2460 |
$unitGroup2 = self::$_conversionUnits[$toUOM]['Group']; |
| 2461 |
} else { |
| 2462 |
return PHPExcel_Calculation_Functions::NA(); |
| 2463 |
} |
| 2464 |
} |
| 2465 |
if ($unitGroup1 != $unitGroup2) { |
| 2466 |
return PHPExcel_Calculation_Functions::NA(); |
| 2467 |
} |
| 2468 |
|
| 2469 |
if (($fromUOM == $toUOM) && ($fromMultiplier == $toMultiplier)) { |
| 2470 |
// We've already factored $fromMultiplier into the value, so we need |
| 2471 |
// to reverse it again |
| 2472 |
return $value / $fromMultiplier; |
| 2473 |
} elseif ($unitGroup1 == 'Temperature') { |
| 2474 |
if (($fromUOM == 'F') || ($fromUOM == 'fah')) { |
| 2475 |
if (($toUOM == 'F') || ($toUOM == 'fah')) { |
| 2476 |
return $value; |
| 2477 |
} else { |
| 2478 |
$value = (($value - 32) / 1.8); |
| 2479 |
if (($toUOM == 'K') || ($toUOM == 'kel')) { |
| 2480 |
$value += 273.15; |
| 2481 |
} |
| 2482 |
return $value; |
| 2483 |
} |
| 2484 |
} elseif ((($fromUOM == 'K') || ($fromUOM == 'kel')) && |
| 2485 |
(($toUOM == 'K') || ($toUOM == 'kel'))) { |
| 2486 |
return $value; |
| 2487 |
} elseif ((($fromUOM == 'C') || ($fromUOM == 'cel')) && |
| 2488 |
(($toUOM == 'C') || ($toUOM == 'cel'))) { |
| 2489 |
return $value; |
| 2490 |
} |
| 2491 |
if (($toUOM == 'F') || ($toUOM == 'fah')) { |
| 2492 |
if (($fromUOM == 'K') || ($fromUOM == 'kel')) { |
| 2493 |
$value -= 273.15; |
| 2494 |
} |
| 2495 |
return ($value * 1.8) + 32; |
| 2496 |
} |
| 2497 |
if (($toUOM == 'C') || ($toUOM == 'cel')) { |
| 2498 |
return $value - 273.15; |
| 2499 |
} |
| 2500 |
return $value + 273.15; |
| 2501 |
} |
| 2502 |
return ($value * self::$_unitConversions[$unitGroup1][$fromUOM][$toUOM]) / $toMultiplier; |
| 2503 |
} // function CONVERTUOM() |
| 2504 |
|
| 2505 |
} // class PHPExcel_Calculation_Engineering |
| 2506 |
|
