alxarafe /
alixar
| Total Complexity | 258 |
| Total Lines | 2801 |
| Duplicated Lines | 0 % |
| Changes | 0 | ||
Complex classes like Engineering often do a lot of different things. To break such a class down, we need to identify a cohesive component within that class. A common approach to find such a component is to look for fields/methods that share the same prefixes, or suffixes.
Once you have determined the fields that belong together, you can apply the Extract Class refactoring. If the component makes sense as a sub-class, Extract Subclass is also a candidate, and is often faster.
While breaking up the class, it is a good idea to analyze how other classes use Engineering, and based on these observations, apply Extract Interface, too.
| 1 | <?php |
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| 8 | class Engineering |
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| 9 | { |
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| 10 | /** |
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| 11 | * EULER. |
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| 12 | */ |
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| 13 | const EULER = 2.71828182845904523536; |
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| 14 | |||
| 15 | /** |
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| 16 | * Details of the Units of measure that can be used in CONVERTUOM(). |
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| 17 | * |
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| 18 | * @var mixed[] |
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| 19 | */ |
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| 20 | private static $conversionUnits = [ |
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| 21 | 'g' => ['Group' => 'Mass', 'Unit Name' => 'Gram', 'AllowPrefix' => true], |
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| 22 | 'sg' => ['Group' => 'Mass', 'Unit Name' => 'Slug', 'AllowPrefix' => false], |
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| 23 | 'lbm' => ['Group' => 'Mass', 'Unit Name' => 'Pound mass (avoirdupois)', 'AllowPrefix' => false], |
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| 24 | 'u' => ['Group' => 'Mass', 'Unit Name' => 'U (atomic mass unit)', 'AllowPrefix' => true], |
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| 25 | 'ozm' => ['Group' => 'Mass', 'Unit Name' => 'Ounce mass (avoirdupois)', 'AllowPrefix' => false], |
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| 26 | 'm' => ['Group' => 'Distance', 'Unit Name' => 'Meter', 'AllowPrefix' => true], |
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| 27 | 'mi' => ['Group' => 'Distance', 'Unit Name' => 'Statute mile', 'AllowPrefix' => false], |
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| 28 | 'Nmi' => ['Group' => 'Distance', 'Unit Name' => 'Nautical mile', 'AllowPrefix' => false], |
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| 29 | 'in' => ['Group' => 'Distance', 'Unit Name' => 'Inch', 'AllowPrefix' => false], |
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| 30 | 'ft' => ['Group' => 'Distance', 'Unit Name' => 'Foot', 'AllowPrefix' => false], |
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| 31 | 'yd' => ['Group' => 'Distance', 'Unit Name' => 'Yard', 'AllowPrefix' => false], |
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| 32 | 'ang' => ['Group' => 'Distance', 'Unit Name' => 'Angstrom', 'AllowPrefix' => true], |
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| 33 | 'Pica' => ['Group' => 'Distance', 'Unit Name' => 'Pica (1/72 in)', 'AllowPrefix' => false], |
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| 34 | 'yr' => ['Group' => 'Time', 'Unit Name' => 'Year', 'AllowPrefix' => false], |
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| 35 | 'day' => ['Group' => 'Time', 'Unit Name' => 'Day', 'AllowPrefix' => false], |
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| 36 | 'hr' => ['Group' => 'Time', 'Unit Name' => 'Hour', 'AllowPrefix' => false], |
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| 37 | 'mn' => ['Group' => 'Time', 'Unit Name' => 'Minute', 'AllowPrefix' => false], |
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| 38 | 'sec' => ['Group' => 'Time', 'Unit Name' => 'Second', 'AllowPrefix' => true], |
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| 39 | 'Pa' => ['Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => true], |
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| 40 | 'p' => ['Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => true], |
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| 41 | 'atm' => ['Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => true], |
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| 42 | 'at' => ['Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => true], |
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| 43 | 'mmHg' => ['Group' => 'Pressure', 'Unit Name' => 'mm of Mercury', 'AllowPrefix' => true], |
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| 44 | 'N' => ['Group' => 'Force', 'Unit Name' => 'Newton', 'AllowPrefix' => true], |
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| 45 | 'dyn' => ['Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => true], |
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| 46 | 'dy' => ['Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => true], |
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| 47 | 'lbf' => ['Group' => 'Force', 'Unit Name' => 'Pound force', 'AllowPrefix' => false], |
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| 48 | 'J' => ['Group' => 'Energy', 'Unit Name' => 'Joule', 'AllowPrefix' => true], |
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| 49 | 'e' => ['Group' => 'Energy', 'Unit Name' => 'Erg', 'AllowPrefix' => true], |
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| 50 | 'c' => ['Group' => 'Energy', 'Unit Name' => 'Thermodynamic calorie', 'AllowPrefix' => true], |
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| 51 | 'cal' => ['Group' => 'Energy', 'Unit Name' => 'IT calorie', 'AllowPrefix' => true], |
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| 52 | 'eV' => ['Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => true], |
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| 53 | 'ev' => ['Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => true], |
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| 54 | 'HPh' => ['Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => false], |
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| 55 | 'hh' => ['Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => false], |
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| 56 | 'Wh' => ['Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => true], |
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| 57 | 'wh' => ['Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => true], |
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| 58 | 'flb' => ['Group' => 'Energy', 'Unit Name' => 'Foot-pound', 'AllowPrefix' => false], |
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| 59 | 'BTU' => ['Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => false], |
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| 60 | 'btu' => ['Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => false], |
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| 61 | 'HP' => ['Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => false], |
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| 62 | 'h' => ['Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => false], |
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| 63 | 'W' => ['Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => true], |
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| 64 | 'w' => ['Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => true], |
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| 65 | 'T' => ['Group' => 'Magnetism', 'Unit Name' => 'Tesla', 'AllowPrefix' => true], |
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| 66 | 'ga' => ['Group' => 'Magnetism', 'Unit Name' => 'Gauss', 'AllowPrefix' => true], |
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| 67 | 'C' => ['Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => false], |
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| 68 | 'cel' => ['Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => false], |
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| 69 | 'F' => ['Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => false], |
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| 70 | 'fah' => ['Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => false], |
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| 71 | 'K' => ['Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => false], |
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| 72 | 'kel' => ['Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => false], |
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| 73 | 'tsp' => ['Group' => 'Liquid', 'Unit Name' => 'Teaspoon', 'AllowPrefix' => false], |
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| 74 | 'tbs' => ['Group' => 'Liquid', 'Unit Name' => 'Tablespoon', 'AllowPrefix' => false], |
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| 75 | 'oz' => ['Group' => 'Liquid', 'Unit Name' => 'Fluid Ounce', 'AllowPrefix' => false], |
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| 76 | 'cup' => ['Group' => 'Liquid', 'Unit Name' => 'Cup', 'AllowPrefix' => false], |
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| 77 | 'pt' => ['Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => false], |
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| 78 | 'us_pt' => ['Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => false], |
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| 79 | 'uk_pt' => ['Group' => 'Liquid', 'Unit Name' => 'U.K. Pint', 'AllowPrefix' => false], |
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| 80 | 'qt' => ['Group' => 'Liquid', 'Unit Name' => 'Quart', 'AllowPrefix' => false], |
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| 81 | 'gal' => ['Group' => 'Liquid', 'Unit Name' => 'Gallon', 'AllowPrefix' => false], |
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| 82 | 'l' => ['Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => true], |
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| 83 | 'lt' => ['Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => true], |
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| 84 | ]; |
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| 85 | |||
| 86 | /** |
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| 87 | * Details of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM(). |
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| 88 | * |
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| 89 | * @var mixed[] |
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| 90 | */ |
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| 91 | private static $conversionMultipliers = [ |
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| 92 | 'Y' => ['multiplier' => 1E24, 'name' => 'yotta'], |
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| 93 | 'Z' => ['multiplier' => 1E21, 'name' => 'zetta'], |
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| 94 | 'E' => ['multiplier' => 1E18, 'name' => 'exa'], |
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| 95 | 'P' => ['multiplier' => 1E15, 'name' => 'peta'], |
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| 96 | 'T' => ['multiplier' => 1E12, 'name' => 'tera'], |
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| 97 | 'G' => ['multiplier' => 1E9, 'name' => 'giga'], |
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| 98 | 'M' => ['multiplier' => 1E6, 'name' => 'mega'], |
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| 99 | 'k' => ['multiplier' => 1E3, 'name' => 'kilo'], |
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| 100 | 'h' => ['multiplier' => 1E2, 'name' => 'hecto'], |
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| 101 | 'e' => ['multiplier' => 1E1, 'name' => 'deka'], |
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| 102 | 'd' => ['multiplier' => 1E-1, 'name' => 'deci'], |
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| 103 | 'c' => ['multiplier' => 1E-2, 'name' => 'centi'], |
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| 104 | 'm' => ['multiplier' => 1E-3, 'name' => 'milli'], |
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| 105 | 'u' => ['multiplier' => 1E-6, 'name' => 'micro'], |
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| 106 | 'n' => ['multiplier' => 1E-9, 'name' => 'nano'], |
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| 107 | 'p' => ['multiplier' => 1E-12, 'name' => 'pico'], |
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| 108 | 'f' => ['multiplier' => 1E-15, 'name' => 'femto'], |
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| 109 | 'a' => ['multiplier' => 1E-18, 'name' => 'atto'], |
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| 110 | 'z' => ['multiplier' => 1E-21, 'name' => 'zepto'], |
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| 111 | 'y' => ['multiplier' => 1E-24, 'name' => 'yocto'], |
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| 112 | ]; |
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| 113 | |||
| 114 | /** |
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| 115 | * Details of the Units of measure conversion factors, organised by group. |
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| 116 | * |
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| 117 | * @var mixed[] |
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| 118 | */ |
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| 119 | private static $unitConversions = [ |
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| 120 | 'Mass' => [ |
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| 121 | 'g' => [ |
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| 122 | 'g' => 1.0, |
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| 123 | 'sg' => 6.85220500053478E-05, |
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| 124 | 'lbm' => 2.20462291469134E-03, |
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| 125 | 'u' => 6.02217000000000E+23, |
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| 126 | 'ozm' => 3.52739718003627E-02, |
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| 127 | ], |
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| 128 | 'sg' => [ |
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| 129 | 'g' => 1.45938424189287E+04, |
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| 130 | 'sg' => 1.0, |
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| 131 | 'lbm' => 3.21739194101647E+01, |
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| 132 | 'u' => 8.78866000000000E+27, |
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| 133 | 'ozm' => 5.14782785944229E+02, |
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| 134 | ], |
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| 135 | 'lbm' => [ |
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| 136 | 'g' => 4.5359230974881148E+02, |
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| 137 | 'sg' => 3.10810749306493E-02, |
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| 138 | 'lbm' => 1.0, |
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| 139 | 'u' => 2.73161000000000E+26, |
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| 140 | 'ozm' => 1.60000023429410E+01, |
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| 141 | ], |
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| 142 | 'u' => [ |
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| 143 | 'g' => 1.66053100460465E-24, |
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| 144 | 'sg' => 1.13782988532950E-28, |
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| 145 | 'lbm' => 3.66084470330684E-27, |
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| 146 | 'u' => 1.0, |
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| 147 | 'ozm' => 5.85735238300524E-26, |
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| 148 | ], |
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| 149 | 'ozm' => [ |
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| 150 | 'g' => 2.83495152079732E+01, |
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| 151 | 'sg' => 1.94256689870811E-03, |
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| 152 | 'lbm' => 6.24999908478882E-02, |
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| 153 | 'u' => 1.70725600000000E+25, |
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| 154 | 'ozm' => 1.0, |
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| 155 | ], |
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| 156 | ], |
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| 157 | 'Distance' => [ |
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| 158 | 'm' => [ |
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| 159 | 'm' => 1.0, |
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| 160 | 'mi' => 6.21371192237334E-04, |
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| 161 | 'Nmi' => 5.39956803455724E-04, |
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| 162 | 'in' => 3.93700787401575E+01, |
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| 163 | 'ft' => 3.28083989501312E+00, |
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| 164 | 'yd' => 1.09361329797891E+00, |
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| 165 | 'ang' => 1.00000000000000E+10, |
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| 166 | 'Pica' => 2.83464566929116E+03, |
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| 167 | ], |
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| 168 | 'mi' => [ |
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| 169 | 'm' => 1.60934400000000E+03, |
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| 170 | 'mi' => 1.0, |
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| 171 | 'Nmi' => 8.68976241900648E-01, |
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| 172 | 'in' => 6.33600000000000E+04, |
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| 173 | 'ft' => 5.28000000000000E+03, |
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| 174 | 'yd' => 1.76000000000000E+03, |
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| 175 | 'ang' => 1.60934400000000E+13, |
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| 176 | 'Pica' => 4.56191999999971E+06, |
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| 177 | ], |
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| 178 | 'Nmi' => [ |
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| 179 | 'm' => 1.85200000000000E+03, |
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| 180 | 'mi' => 1.15077944802354E+00, |
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| 181 | 'Nmi' => 1.0, |
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| 182 | 'in' => 7.29133858267717E+04, |
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| 183 | 'ft' => 6.07611548556430E+03, |
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| 184 | 'yd' => 2.02537182785694E+03, |
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| 185 | 'ang' => 1.85200000000000E+13, |
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| 186 | 'Pica' => 5.24976377952723E+06, |
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| 187 | ], |
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| 188 | 'in' => [ |
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| 189 | 'm' => 2.54000000000000E-02, |
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| 190 | 'mi' => 1.57828282828283E-05, |
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| 191 | 'Nmi' => 1.37149028077754E-05, |
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| 192 | 'in' => 1.0, |
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| 193 | 'ft' => 8.33333333333333E-02, |
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| 194 | 'yd' => 2.77777777686643E-02, |
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| 195 | 'ang' => 2.54000000000000E+08, |
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| 196 | 'Pica' => 7.19999999999955E+01, |
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| 197 | ], |
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| 198 | 'ft' => [ |
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| 199 | 'm' => 3.04800000000000E-01, |
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| 200 | 'mi' => 1.89393939393939E-04, |
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| 201 | 'Nmi' => 1.64578833693305E-04, |
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| 202 | 'in' => 1.20000000000000E+01, |
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| 203 | 'ft' => 1.0, |
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| 204 | 'yd' => 3.33333333223972E-01, |
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| 205 | 'ang' => 3.04800000000000E+09, |
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| 206 | 'Pica' => 8.63999999999946E+02, |
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| 207 | ], |
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| 208 | 'yd' => [ |
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| 209 | 'm' => 9.14400000300000E-01, |
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| 210 | 'mi' => 5.68181818368230E-04, |
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| 211 | 'Nmi' => 4.93736501241901E-04, |
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| 212 | 'in' => 3.60000000118110E+01, |
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| 213 | 'ft' => 3.00000000000000E+00, |
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| 214 | 'yd' => 1.0, |
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| 215 | 'ang' => 9.14400000300000E+09, |
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| 216 | 'Pica' => 2.59200000085023E+03, |
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| 217 | ], |
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| 218 | 'ang' => [ |
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| 219 | 'm' => 1.00000000000000E-10, |
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| 220 | 'mi' => 6.21371192237334E-14, |
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| 221 | 'Nmi' => 5.39956803455724E-14, |
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| 222 | 'in' => 3.93700787401575E-09, |
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| 223 | 'ft' => 3.28083989501312E-10, |
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| 224 | 'yd' => 1.09361329797891E-10, |
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| 225 | 'ang' => 1.0, |
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| 226 | 'Pica' => 2.83464566929116E-07, |
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| 227 | ], |
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| 228 | 'Pica' => [ |
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| 229 | 'm' => 3.52777777777800E-04, |
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| 230 | 'mi' => 2.19205948372629E-07, |
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| 231 | 'Nmi' => 1.90484761219114E-07, |
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| 232 | 'in' => 1.38888888888898E-02, |
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| 233 | 'ft' => 1.15740740740748E-03, |
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| 234 | 'yd' => 3.85802469009251E-04, |
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| 235 | 'ang' => 3.52777777777800E+06, |
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| 236 | 'Pica' => 1.0, |
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| 237 | ], |
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| 238 | ], |
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| 239 | 'Time' => [ |
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| 240 | 'yr' => [ |
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| 241 | 'yr' => 1.0, |
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| 242 | 'day' => 365.25, |
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| 243 | 'hr' => 8766.0, |
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| 244 | 'mn' => 525960.0, |
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| 245 | 'sec' => 31557600.0, |
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| 246 | ], |
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| 247 | 'day' => [ |
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| 248 | 'yr' => 2.73785078713210E-03, |
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| 249 | 'day' => 1.0, |
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| 250 | 'hr' => 24.0, |
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| 251 | 'mn' => 1440.0, |
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| 252 | 'sec' => 86400.0, |
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| 253 | ], |
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| 254 | 'hr' => [ |
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| 255 | 'yr' => 1.14077116130504E-04, |
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| 256 | 'day' => 4.16666666666667E-02, |
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| 257 | 'hr' => 1.0, |
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| 258 | 'mn' => 60.0, |
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| 259 | 'sec' => 3600.0, |
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| 260 | ], |
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| 261 | 'mn' => [ |
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| 262 | 'yr' => 1.90128526884174E-06, |
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| 263 | 'day' => 6.94444444444444E-04, |
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| 264 | 'hr' => 1.66666666666667E-02, |
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| 265 | 'mn' => 1.0, |
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| 266 | 'sec' => 60.0, |
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| 267 | ], |
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| 268 | 'sec' => [ |
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| 269 | 'yr' => 3.16880878140289E-08, |
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| 270 | 'day' => 1.15740740740741E-05, |
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| 271 | 'hr' => 2.77777777777778E-04, |
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| 272 | 'mn' => 1.66666666666667E-02, |
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| 273 | 'sec' => 1.0, |
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| 274 | ], |
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| 275 | ], |
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| 276 | 'Pressure' => [ |
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| 277 | 'Pa' => [ |
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| 278 | 'Pa' => 1.0, |
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| 279 | 'p' => 1.0, |
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| 280 | 'atm' => 9.86923299998193E-06, |
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| 281 | 'at' => 9.86923299998193E-06, |
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| 282 | 'mmHg' => 7.50061707998627E-03, |
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| 283 | ], |
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| 284 | 'p' => [ |
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| 285 | 'Pa' => 1.0, |
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| 286 | 'p' => 1.0, |
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| 287 | 'atm' => 9.86923299998193E-06, |
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| 288 | 'at' => 9.86923299998193E-06, |
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| 289 | 'mmHg' => 7.50061707998627E-03, |
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| 290 | ], |
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| 291 | 'atm' => [ |
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| 292 | 'Pa' => 1.01324996583000E+05, |
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| 293 | 'p' => 1.01324996583000E+05, |
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| 294 | 'atm' => 1.0, |
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| 295 | 'at' => 1.0, |
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| 296 | 'mmHg' => 760.0, |
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| 297 | ], |
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| 298 | 'at' => [ |
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| 299 | 'Pa' => 1.01324996583000E+05, |
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| 300 | 'p' => 1.01324996583000E+05, |
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| 301 | 'atm' => 1.0, |
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| 302 | 'at' => 1.0, |
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| 303 | 'mmHg' => 760.0, |
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| 304 | ], |
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| 305 | 'mmHg' => [ |
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| 306 | 'Pa' => 1.33322363925000E+02, |
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| 307 | 'p' => 1.33322363925000E+02, |
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| 308 | 'atm' => 1.31578947368421E-03, |
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| 309 | 'at' => 1.31578947368421E-03, |
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| 310 | 'mmHg' => 1.0, |
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| 311 | ], |
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| 312 | ], |
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| 313 | 'Force' => [ |
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| 314 | 'N' => [ |
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| 315 | 'N' => 1.0, |
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| 316 | 'dyn' => 1.0E+5, |
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| 317 | 'dy' => 1.0E+5, |
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| 318 | 'lbf' => 2.24808923655339E-01, |
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| 319 | ], |
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| 320 | 'dyn' => [ |
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| 321 | 'N' => 1.0E-5, |
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| 322 | 'dyn' => 1.0, |
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| 323 | 'dy' => 1.0, |
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| 324 | 'lbf' => 2.24808923655339E-06, |
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| 325 | ], |
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| 326 | 'dy' => [ |
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| 327 | 'N' => 1.0E-5, |
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| 328 | 'dyn' => 1.0, |
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| 329 | 'dy' => 1.0, |
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| 330 | 'lbf' => 2.24808923655339E-06, |
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| 331 | ], |
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| 332 | 'lbf' => [ |
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| 333 | 'N' => 4.448222, |
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| 334 | 'dyn' => 4.448222E+5, |
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| 335 | 'dy' => 4.448222E+5, |
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| 336 | 'lbf' => 1.0, |
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| 337 | ], |
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| 338 | ], |
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| 339 | 'Energy' => [ |
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| 340 | 'J' => [ |
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| 341 | 'J' => 1.0, |
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| 342 | 'e' => 9.99999519343231E+06, |
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| 343 | 'c' => 2.39006249473467E-01, |
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| 344 | 'cal' => 2.38846190642017E-01, |
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| 345 | 'eV' => 6.24145700000000E+18, |
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| 346 | 'ev' => 6.24145700000000E+18, |
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| 347 | 'HPh' => 3.72506430801000E-07, |
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| 348 | 'hh' => 3.72506430801000E-07, |
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| 349 | 'Wh' => 2.77777916238711E-04, |
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| 350 | 'wh' => 2.77777916238711E-04, |
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| 351 | 'flb' => 2.37304222192651E+01, |
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| 352 | 'BTU' => 9.47815067349015E-04, |
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| 353 | 'btu' => 9.47815067349015E-04, |
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| 354 | ], |
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| 355 | 'e' => [ |
||
| 356 | 'J' => 1.00000048065700E-07, |
||
| 357 | 'e' => 1.0, |
||
| 358 | 'c' => 2.39006364353494E-08, |
||
| 359 | 'cal' => 2.38846305445111E-08, |
||
| 360 | 'eV' => 6.24146000000000E+11, |
||
| 361 | 'ev' => 6.24146000000000E+11, |
||
| 362 | 'HPh' => 3.72506609848824E-14, |
||
| 363 | 'hh' => 3.72506609848824E-14, |
||
| 364 | 'Wh' => 2.77778049754611E-11, |
||
| 365 | 'wh' => 2.77778049754611E-11, |
||
| 366 | 'flb' => 2.37304336254586E-06, |
||
| 367 | 'BTU' => 9.47815522922962E-11, |
||
| 368 | 'btu' => 9.47815522922962E-11, |
||
| 369 | ], |
||
| 370 | 'c' => [ |
||
| 371 | 'J' => 4.18399101363672E+00, |
||
| 372 | 'e' => 4.18398900257312E+07, |
||
| 373 | 'c' => 1.0, |
||
| 374 | 'cal' => 9.99330315287563E-01, |
||
| 375 | 'eV' => 2.61142000000000E+19, |
||
| 376 | 'ev' => 2.61142000000000E+19, |
||
| 377 | 'HPh' => 1.55856355899327E-06, |
||
| 378 | 'hh' => 1.55856355899327E-06, |
||
| 379 | 'Wh' => 1.16222030532950E-03, |
||
| 380 | 'wh' => 1.16222030532950E-03, |
||
| 381 | 'flb' => 9.92878733152102E+01, |
||
| 382 | 'BTU' => 3.96564972437776E-03, |
||
| 383 | 'btu' => 3.96564972437776E-03, |
||
| 384 | ], |
||
| 385 | 'cal' => [ |
||
| 386 | 'J' => 4.18679484613929E+00, |
||
| 387 | 'e' => 4.18679283372801E+07, |
||
| 388 | 'c' => 1.00067013349059E+00, |
||
| 389 | 'cal' => 1.0, |
||
| 390 | 'eV' => 2.61317000000000E+19, |
||
| 391 | 'ev' => 2.61317000000000E+19, |
||
| 392 | 'HPh' => 1.55960800463137E-06, |
||
| 393 | 'hh' => 1.55960800463137E-06, |
||
| 394 | 'Wh' => 1.16299914807955E-03, |
||
| 395 | 'wh' => 1.16299914807955E-03, |
||
| 396 | 'flb' => 9.93544094443283E+01, |
||
| 397 | 'BTU' => 3.96830723907002E-03, |
||
| 398 | 'btu' => 3.96830723907002E-03, |
||
| 399 | ], |
||
| 400 | 'eV' => [ |
||
| 401 | 'J' => 1.60219000146921E-19, |
||
| 402 | 'e' => 1.60218923136574E-12, |
||
| 403 | 'c' => 3.82933423195043E-20, |
||
| 404 | 'cal' => 3.82676978535648E-20, |
||
| 405 | 'eV' => 1.0, |
||
| 406 | 'ev' => 1.0, |
||
| 407 | 'HPh' => 5.96826078912344E-26, |
||
| 408 | 'hh' => 5.96826078912344E-26, |
||
| 409 | 'Wh' => 4.45053000026614E-23, |
||
| 410 | 'wh' => 4.45053000026614E-23, |
||
| 411 | 'flb' => 3.80206452103492E-18, |
||
| 412 | 'BTU' => 1.51857982414846E-22, |
||
| 413 | 'btu' => 1.51857982414846E-22, |
||
| 414 | ], |
||
| 415 | 'ev' => [ |
||
| 416 | 'J' => 1.60219000146921E-19, |
||
| 417 | 'e' => 1.60218923136574E-12, |
||
| 418 | 'c' => 3.82933423195043E-20, |
||
| 419 | 'cal' => 3.82676978535648E-20, |
||
| 420 | 'eV' => 1.0, |
||
| 421 | 'ev' => 1.0, |
||
| 422 | 'HPh' => 5.96826078912344E-26, |
||
| 423 | 'hh' => 5.96826078912344E-26, |
||
| 424 | 'Wh' => 4.45053000026614E-23, |
||
| 425 | 'wh' => 4.45053000026614E-23, |
||
| 426 | 'flb' => 3.80206452103492E-18, |
||
| 427 | 'BTU' => 1.51857982414846E-22, |
||
| 428 | 'btu' => 1.51857982414846E-22, |
||
| 429 | ], |
||
| 430 | 'HPh' => [ |
||
| 431 | 'J' => 2.68451741316170E+06, |
||
| 432 | 'e' => 2.68451612283024E+13, |
||
| 433 | 'c' => 6.41616438565991E+05, |
||
| 434 | 'cal' => 6.41186757845835E+05, |
||
| 435 | 'eV' => 1.67553000000000E+25, |
||
| 436 | 'ev' => 1.67553000000000E+25, |
||
| 437 | 'HPh' => 1.0, |
||
| 438 | 'hh' => 1.0, |
||
| 439 | 'Wh' => 7.45699653134593E+02, |
||
| 440 | 'wh' => 7.45699653134593E+02, |
||
| 441 | 'flb' => 6.37047316692964E+07, |
||
| 442 | 'BTU' => 2.54442605275546E+03, |
||
| 443 | 'btu' => 2.54442605275546E+03, |
||
| 444 | ], |
||
| 445 | 'hh' => [ |
||
| 446 | 'J' => 2.68451741316170E+06, |
||
| 447 | 'e' => 2.68451612283024E+13, |
||
| 448 | 'c' => 6.41616438565991E+05, |
||
| 449 | 'cal' => 6.41186757845835E+05, |
||
| 450 | 'eV' => 1.67553000000000E+25, |
||
| 451 | 'ev' => 1.67553000000000E+25, |
||
| 452 | 'HPh' => 1.0, |
||
| 453 | 'hh' => 1.0, |
||
| 454 | 'Wh' => 7.45699653134593E+02, |
||
| 455 | 'wh' => 7.45699653134593E+02, |
||
| 456 | 'flb' => 6.37047316692964E+07, |
||
| 457 | 'BTU' => 2.54442605275546E+03, |
||
| 458 | 'btu' => 2.54442605275546E+03, |
||
| 459 | ], |
||
| 460 | 'Wh' => [ |
||
| 461 | 'J' => 3.59999820554720E+03, |
||
| 462 | 'e' => 3.59999647518369E+10, |
||
| 463 | 'c' => 8.60422069219046E+02, |
||
| 464 | 'cal' => 8.59845857713046E+02, |
||
| 465 | 'eV' => 2.24692340000000E+22, |
||
| 466 | 'ev' => 2.24692340000000E+22, |
||
| 467 | 'HPh' => 1.34102248243839E-03, |
||
| 468 | 'hh' => 1.34102248243839E-03, |
||
| 469 | 'Wh' => 1.0, |
||
| 470 | 'wh' => 1.0, |
||
| 471 | 'flb' => 8.54294774062316E+04, |
||
| 472 | 'BTU' => 3.41213254164705E+00, |
||
| 473 | 'btu' => 3.41213254164705E+00, |
||
| 474 | ], |
||
| 475 | 'wh' => [ |
||
| 476 | 'J' => 3.59999820554720E+03, |
||
| 477 | 'e' => 3.59999647518369E+10, |
||
| 478 | 'c' => 8.60422069219046E+02, |
||
| 479 | 'cal' => 8.59845857713046E+02, |
||
| 480 | 'eV' => 2.24692340000000E+22, |
||
| 481 | 'ev' => 2.24692340000000E+22, |
||
| 482 | 'HPh' => 1.34102248243839E-03, |
||
| 483 | 'hh' => 1.34102248243839E-03, |
||
| 484 | 'Wh' => 1.0, |
||
| 485 | 'wh' => 1.0, |
||
| 486 | 'flb' => 8.54294774062316E+04, |
||
| 487 | 'BTU' => 3.41213254164705E+00, |
||
| 488 | 'btu' => 3.41213254164705E+00, |
||
| 489 | ], |
||
| 490 | 'flb' => [ |
||
| 491 | 'J' => 4.21400003236424E-02, |
||
| 492 | 'e' => 4.21399800687660E+05, |
||
| 493 | 'c' => 1.00717234301644E-02, |
||
| 494 | 'cal' => 1.00649785509554E-02, |
||
| 495 | 'eV' => 2.63015000000000E+17, |
||
| 496 | 'ev' => 2.63015000000000E+17, |
||
| 497 | 'HPh' => 1.56974211145130E-08, |
||
| 498 | 'hh' => 1.56974211145130E-08, |
||
| 499 | 'Wh' => 1.17055614802000E-05, |
||
| 500 | 'wh' => 1.17055614802000E-05, |
||
| 501 | 'flb' => 1.0, |
||
| 502 | 'BTU' => 3.99409272448406E-05, |
||
| 503 | 'btu' => 3.99409272448406E-05, |
||
| 504 | ], |
||
| 505 | 'BTU' => [ |
||
| 506 | 'J' => 1.05505813786749E+03, |
||
| 507 | 'e' => 1.05505763074665E+10, |
||
| 508 | 'c' => 2.52165488508168E+02, |
||
| 509 | 'cal' => 2.51996617135510E+02, |
||
| 510 | 'eV' => 6.58510000000000E+21, |
||
| 511 | 'ev' => 6.58510000000000E+21, |
||
| 512 | 'HPh' => 3.93015941224568E-04, |
||
| 513 | 'hh' => 3.93015941224568E-04, |
||
| 514 | 'Wh' => 2.93071851047526E-01, |
||
| 515 | 'wh' => 2.93071851047526E-01, |
||
| 516 | 'flb' => 2.50369750774671E+04, |
||
| 517 | 'BTU' => 1.0, |
||
| 518 | 'btu' => 1.0, |
||
| 519 | ], |
||
| 520 | 'btu' => [ |
||
| 521 | 'J' => 1.05505813786749E+03, |
||
| 522 | 'e' => 1.05505763074665E+10, |
||
| 523 | 'c' => 2.52165488508168E+02, |
||
| 524 | 'cal' => 2.51996617135510E+02, |
||
| 525 | 'eV' => 6.58510000000000E+21, |
||
| 526 | 'ev' => 6.58510000000000E+21, |
||
| 527 | 'HPh' => 3.93015941224568E-04, |
||
| 528 | 'hh' => 3.93015941224568E-04, |
||
| 529 | 'Wh' => 2.93071851047526E-01, |
||
| 530 | 'wh' => 2.93071851047526E-01, |
||
| 531 | 'flb' => 2.50369750774671E+04, |
||
| 532 | 'BTU' => 1.0, |
||
| 533 | 'btu' => 1.0, |
||
| 534 | ], |
||
| 535 | ], |
||
| 536 | 'Power' => [ |
||
| 537 | 'HP' => [ |
||
| 538 | 'HP' => 1.0, |
||
| 539 | 'h' => 1.0, |
||
| 540 | 'W' => 7.45701000000000E+02, |
||
| 541 | 'w' => 7.45701000000000E+02, |
||
| 542 | ], |
||
| 543 | 'h' => [ |
||
| 544 | 'HP' => 1.0, |
||
| 545 | 'h' => 1.0, |
||
| 546 | 'W' => 7.45701000000000E+02, |
||
| 547 | 'w' => 7.45701000000000E+02, |
||
| 548 | ], |
||
| 549 | 'W' => [ |
||
| 550 | 'HP' => 1.34102006031908E-03, |
||
| 551 | 'h' => 1.34102006031908E-03, |
||
| 552 | 'W' => 1.0, |
||
| 553 | 'w' => 1.0, |
||
| 554 | ], |
||
| 555 | 'w' => [ |
||
| 556 | 'HP' => 1.34102006031908E-03, |
||
| 557 | 'h' => 1.34102006031908E-03, |
||
| 558 | 'W' => 1.0, |
||
| 559 | 'w' => 1.0, |
||
| 560 | ], |
||
| 561 | ], |
||
| 562 | 'Magnetism' => [ |
||
| 563 | 'T' => [ |
||
| 564 | 'T' => 1.0, |
||
| 565 | 'ga' => 10000.0, |
||
| 566 | ], |
||
| 567 | 'ga' => [ |
||
| 568 | 'T' => 0.0001, |
||
| 569 | 'ga' => 1.0, |
||
| 570 | ], |
||
| 571 | ], |
||
| 572 | 'Liquid' => [ |
||
| 573 | 'tsp' => [ |
||
| 574 | 'tsp' => 1.0, |
||
| 575 | 'tbs' => 3.33333333333333E-01, |
||
| 576 | 'oz' => 1.66666666666667E-01, |
||
| 577 | 'cup' => 2.08333333333333E-02, |
||
| 578 | 'pt' => 1.04166666666667E-02, |
||
| 579 | 'us_pt' => 1.04166666666667E-02, |
||
| 580 | 'uk_pt' => 8.67558516821960E-03, |
||
| 581 | 'qt' => 5.20833333333333E-03, |
||
| 582 | 'gal' => 1.30208333333333E-03, |
||
| 583 | 'l' => 4.92999408400710E-03, |
||
| 584 | 'lt' => 4.92999408400710E-03, |
||
| 585 | ], |
||
| 586 | 'tbs' => [ |
||
| 587 | 'tsp' => 3.00000000000000E+00, |
||
| 588 | 'tbs' => 1.0, |
||
| 589 | 'oz' => 5.00000000000000E-01, |
||
| 590 | 'cup' => 6.25000000000000E-02, |
||
| 591 | 'pt' => 3.12500000000000E-02, |
||
| 592 | 'us_pt' => 3.12500000000000E-02, |
||
| 593 | 'uk_pt' => 2.60267555046588E-02, |
||
| 594 | 'qt' => 1.56250000000000E-02, |
||
| 595 | 'gal' => 3.90625000000000E-03, |
||
| 596 | 'l' => 1.47899822520213E-02, |
||
| 597 | 'lt' => 1.47899822520213E-02, |
||
| 598 | ], |
||
| 599 | 'oz' => [ |
||
| 600 | 'tsp' => 6.00000000000000E+00, |
||
| 601 | 'tbs' => 2.00000000000000E+00, |
||
| 602 | 'oz' => 1.0, |
||
| 603 | 'cup' => 1.25000000000000E-01, |
||
| 604 | 'pt' => 6.25000000000000E-02, |
||
| 605 | 'us_pt' => 6.25000000000000E-02, |
||
| 606 | 'uk_pt' => 5.20535110093176E-02, |
||
| 607 | 'qt' => 3.12500000000000E-02, |
||
| 608 | 'gal' => 7.81250000000000E-03, |
||
| 609 | 'l' => 2.95799645040426E-02, |
||
| 610 | 'lt' => 2.95799645040426E-02, |
||
| 611 | ], |
||
| 612 | 'cup' => [ |
||
| 613 | 'tsp' => 4.80000000000000E+01, |
||
| 614 | 'tbs' => 1.60000000000000E+01, |
||
| 615 | 'oz' => 8.00000000000000E+00, |
||
| 616 | 'cup' => 1.0, |
||
| 617 | 'pt' => 5.00000000000000E-01, |
||
| 618 | 'us_pt' => 5.00000000000000E-01, |
||
| 619 | 'uk_pt' => 4.16428088074541E-01, |
||
| 620 | 'qt' => 2.50000000000000E-01, |
||
| 621 | 'gal' => 6.25000000000000E-02, |
||
| 622 | 'l' => 2.36639716032341E-01, |
||
| 623 | 'lt' => 2.36639716032341E-01, |
||
| 624 | ], |
||
| 625 | 'pt' => [ |
||
| 626 | 'tsp' => 9.60000000000000E+01, |
||
| 627 | 'tbs' => 3.20000000000000E+01, |
||
| 628 | 'oz' => 1.60000000000000E+01, |
||
| 629 | 'cup' => 2.00000000000000E+00, |
||
| 630 | 'pt' => 1.0, |
||
| 631 | 'us_pt' => 1.0, |
||
| 632 | 'uk_pt' => 8.32856176149081E-01, |
||
| 633 | 'qt' => 5.00000000000000E-01, |
||
| 634 | 'gal' => 1.25000000000000E-01, |
||
| 635 | 'l' => 4.73279432064682E-01, |
||
| 636 | 'lt' => 4.73279432064682E-01, |
||
| 637 | ], |
||
| 638 | 'us_pt' => [ |
||
| 639 | 'tsp' => 9.60000000000000E+01, |
||
| 640 | 'tbs' => 3.20000000000000E+01, |
||
| 641 | 'oz' => 1.60000000000000E+01, |
||
| 642 | 'cup' => 2.00000000000000E+00, |
||
| 643 | 'pt' => 1.0, |
||
| 644 | 'us_pt' => 1.0, |
||
| 645 | 'uk_pt' => 8.32856176149081E-01, |
||
| 646 | 'qt' => 5.00000000000000E-01, |
||
| 647 | 'gal' => 1.25000000000000E-01, |
||
| 648 | 'l' => 4.73279432064682E-01, |
||
| 649 | 'lt' => 4.73279432064682E-01, |
||
| 650 | ], |
||
| 651 | 'uk_pt' => [ |
||
| 652 | 'tsp' => 1.15266000000000E+02, |
||
| 653 | 'tbs' => 3.84220000000000E+01, |
||
| 654 | 'oz' => 1.92110000000000E+01, |
||
| 655 | 'cup' => 2.40137500000000E+00, |
||
| 656 | 'pt' => 1.20068750000000E+00, |
||
| 657 | 'us_pt' => 1.20068750000000E+00, |
||
| 658 | 'uk_pt' => 1.0, |
||
| 659 | 'qt' => 6.00343750000000E-01, |
||
| 660 | 'gal' => 1.50085937500000E-01, |
||
| 661 | 'l' => 5.68260698087162E-01, |
||
| 662 | 'lt' => 5.68260698087162E-01, |
||
| 663 | ], |
||
| 664 | 'qt' => [ |
||
| 665 | 'tsp' => 1.92000000000000E+02, |
||
| 666 | 'tbs' => 6.40000000000000E+01, |
||
| 667 | 'oz' => 3.20000000000000E+01, |
||
| 668 | 'cup' => 4.00000000000000E+00, |
||
| 669 | 'pt' => 2.00000000000000E+00, |
||
| 670 | 'us_pt' => 2.00000000000000E+00, |
||
| 671 | 'uk_pt' => 1.66571235229816E+00, |
||
| 672 | 'qt' => 1.0, |
||
| 673 | 'gal' => 2.50000000000000E-01, |
||
| 674 | 'l' => 9.46558864129363E-01, |
||
| 675 | 'lt' => 9.46558864129363E-01, |
||
| 676 | ], |
||
| 677 | 'gal' => [ |
||
| 678 | 'tsp' => 7.68000000000000E+02, |
||
| 679 | 'tbs' => 2.56000000000000E+02, |
||
| 680 | 'oz' => 1.28000000000000E+02, |
||
| 681 | 'cup' => 1.60000000000000E+01, |
||
| 682 | 'pt' => 8.00000000000000E+00, |
||
| 683 | 'us_pt' => 8.00000000000000E+00, |
||
| 684 | 'uk_pt' => 6.66284940919265E+00, |
||
| 685 | 'qt' => 4.00000000000000E+00, |
||
| 686 | 'gal' => 1.0, |
||
| 687 | 'l' => 3.78623545651745E+00, |
||
| 688 | 'lt' => 3.78623545651745E+00, |
||
| 689 | ], |
||
| 690 | 'l' => [ |
||
| 691 | 'tsp' => 2.02840000000000E+02, |
||
| 692 | 'tbs' => 6.76133333333333E+01, |
||
| 693 | 'oz' => 3.38066666666667E+01, |
||
| 694 | 'cup' => 4.22583333333333E+00, |
||
| 695 | 'pt' => 2.11291666666667E+00, |
||
| 696 | 'us_pt' => 2.11291666666667E+00, |
||
| 697 | 'uk_pt' => 1.75975569552166E+00, |
||
| 698 | 'qt' => 1.05645833333333E+00, |
||
| 699 | 'gal' => 2.64114583333333E-01, |
||
| 700 | 'l' => 1.0, |
||
| 701 | 'lt' => 1.0, |
||
| 702 | ], |
||
| 703 | 'lt' => [ |
||
| 704 | 'tsp' => 2.02840000000000E+02, |
||
| 705 | 'tbs' => 6.76133333333333E+01, |
||
| 706 | 'oz' => 3.38066666666667E+01, |
||
| 707 | 'cup' => 4.22583333333333E+00, |
||
| 708 | 'pt' => 2.11291666666667E+00, |
||
| 709 | 'us_pt' => 2.11291666666667E+00, |
||
| 710 | 'uk_pt' => 1.75975569552166E+00, |
||
| 711 | 'qt' => 1.05645833333333E+00, |
||
| 712 | 'gal' => 2.64114583333333E-01, |
||
| 713 | 'l' => 1.0, |
||
| 714 | 'lt' => 1.0, |
||
| 715 | ], |
||
| 716 | ], |
||
| 717 | ]; |
||
| 718 | |||
| 719 | /** |
||
| 720 | * parseComplex. |
||
| 721 | * |
||
| 722 | * Parses a complex number into its real and imaginary parts, and an I or J suffix |
||
| 723 | * |
||
| 724 | * @deprecated 2.0.0 No longer used by internal code. Please use the Complex\Complex class instead |
||
| 725 | * |
||
| 726 | * @param string $complexNumber The complex number |
||
| 727 | * |
||
| 728 | * @return mixed[] Indexed on "real", "imaginary" and "suffix" |
||
| 729 | */ |
||
| 730 | public static function parseComplex($complexNumber) |
||
| 731 | { |
||
| 732 | $complex = new Complex($complexNumber); |
||
| 733 | |||
| 734 | return [ |
||
| 735 | 'real' => $complex->getReal(), |
||
| 736 | 'imaginary' => $complex->getImaginary(), |
||
| 737 | 'suffix' => $complex->getSuffix(), |
||
| 738 | ]; |
||
| 739 | } |
||
| 740 | |||
| 741 | /** |
||
| 742 | * Formats a number base string value with leading zeroes. |
||
| 743 | * |
||
| 744 | * @param string $xVal The "number" to pad |
||
| 745 | * @param int $places The length that we want to pad this value |
||
| 746 | * |
||
| 747 | * @return string The padded "number" |
||
| 748 | */ |
||
| 749 | private static function nbrConversionFormat($xVal, $places) |
||
| 750 | { |
||
| 751 | if ($places !== null) { |
||
| 752 | if (is_numeric($places)) { |
||
| 753 | $places = (int) $places; |
||
| 754 | } else { |
||
| 755 | return Functions::VALUE(); |
||
| 756 | } |
||
| 757 | if ($places < 0) { |
||
| 758 | return Functions::NAN(); |
||
| 759 | } |
||
| 760 | if (strlen($xVal) <= $places) { |
||
| 761 | return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10); |
||
| 762 | } |
||
| 763 | |||
| 764 | return Functions::NAN(); |
||
| 765 | } |
||
| 766 | |||
| 767 | return substr($xVal, -10); |
||
| 768 | } |
||
| 769 | |||
| 770 | /** |
||
| 771 | * BESSELI. |
||
| 772 | * |
||
| 773 | * Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated |
||
| 774 | * for purely imaginary arguments |
||
| 775 | * |
||
| 776 | * Excel Function: |
||
| 777 | * BESSELI(x,ord) |
||
| 778 | * |
||
| 779 | * @category Engineering Functions |
||
| 780 | * |
||
| 781 | * @param float $x The value at which to evaluate the function. |
||
| 782 | * If x is nonnumeric, BESSELI returns the #VALUE! error value. |
||
| 783 | * @param int $ord The order of the Bessel function. |
||
| 784 | * If ord is not an integer, it is truncated. |
||
| 785 | * If $ord is nonnumeric, BESSELI returns the #VALUE! error value. |
||
| 786 | * If $ord < 0, BESSELI returns the #NUM! error value. |
||
| 787 | * |
||
| 788 | * @return float|string Result, or a string containing an error |
||
| 789 | */ |
||
| 790 | public static function BESSELI($x, $ord) |
||
| 791 | { |
||
| 792 | $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x); |
||
| 793 | $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord); |
||
| 794 | |||
| 795 | if ((is_numeric($x)) && (is_numeric($ord))) { |
||
| 796 | $ord = floor($ord); |
||
| 797 | if ($ord < 0) { |
||
| 798 | return Functions::NAN(); |
||
| 799 | } |
||
| 800 | |||
| 801 | if (abs($x) <= 30) { |
||
| 802 | $fResult = $fTerm = pow($x / 2, $ord) / MathTrig::FACT($ord); |
||
| 803 | $ordK = 1; |
||
| 804 | $fSqrX = ($x * $x) / 4; |
||
| 805 | do { |
||
| 806 | $fTerm *= $fSqrX; |
||
| 807 | $fTerm /= ($ordK * ($ordK + $ord)); |
||
| 808 | $fResult += $fTerm; |
||
| 809 | } while ((abs($fTerm) > 1e-12) && (++$ordK < 100)); |
||
| 810 | } else { |
||
| 811 | $f_2_PI = 2 * M_PI; |
||
| 812 | |||
| 813 | $fXAbs = abs($x); |
||
| 814 | $fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs); |
||
| 815 | if (($ord & 1) && ($x < 0)) { |
||
| 816 | $fResult = -$fResult; |
||
| 817 | } |
||
| 818 | } |
||
| 819 | |||
| 820 | return (is_nan($fResult)) ? Functions::NAN() : $fResult; |
||
| 821 | } |
||
| 822 | |||
| 823 | return Functions::VALUE(); |
||
| 824 | } |
||
| 825 | |||
| 826 | /** |
||
| 827 | * BESSELJ. |
||
| 828 | * |
||
| 829 | * Returns the Bessel function |
||
| 830 | * |
||
| 831 | * Excel Function: |
||
| 832 | * BESSELJ(x,ord) |
||
| 833 | * |
||
| 834 | * @category Engineering Functions |
||
| 835 | * |
||
| 836 | * @param float $x The value at which to evaluate the function. |
||
| 837 | * If x is nonnumeric, BESSELJ returns the #VALUE! error value. |
||
| 838 | * @param int $ord The order of the Bessel function. If n is not an integer, it is truncated. |
||
| 839 | * If $ord is nonnumeric, BESSELJ returns the #VALUE! error value. |
||
| 840 | * If $ord < 0, BESSELJ returns the #NUM! error value. |
||
| 841 | * |
||
| 842 | * @return float|string Result, or a string containing an error |
||
| 843 | */ |
||
| 844 | public static function BESSELJ($x, $ord) |
||
| 845 | { |
||
| 846 | $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x); |
||
| 847 | $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord); |
||
| 848 | |||
| 849 | if ((is_numeric($x)) && (is_numeric($ord))) { |
||
| 850 | $ord = floor($ord); |
||
| 851 | if ($ord < 0) { |
||
| 852 | return Functions::NAN(); |
||
| 853 | } |
||
| 854 | |||
| 855 | $fResult = 0; |
||
| 856 | if (abs($x) <= 30) { |
||
| 857 | $fResult = $fTerm = pow($x / 2, $ord) / MathTrig::FACT($ord); |
||
| 858 | $ordK = 1; |
||
| 859 | $fSqrX = ($x * $x) / -4; |
||
| 860 | do { |
||
| 861 | $fTerm *= $fSqrX; |
||
| 862 | $fTerm /= ($ordK * ($ordK + $ord)); |
||
| 863 | $fResult += $fTerm; |
||
| 864 | } while ((abs($fTerm) > 1e-12) && (++$ordK < 100)); |
||
| 865 | } else { |
||
| 866 | $f_PI_DIV_2 = M_PI / 2; |
||
| 867 | $f_PI_DIV_4 = M_PI / 4; |
||
| 868 | |||
| 869 | $fXAbs = abs($x); |
||
| 870 | $fResult = sqrt(Functions::M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4); |
||
| 871 | if (($ord & 1) && ($x < 0)) { |
||
| 872 | $fResult = -$fResult; |
||
| 873 | } |
||
| 874 | } |
||
| 875 | |||
| 876 | return (is_nan($fResult)) ? Functions::NAN() : $fResult; |
||
| 877 | } |
||
| 878 | |||
| 879 | return Functions::VALUE(); |
||
| 880 | } |
||
| 881 | |||
| 882 | private static function besselK0($fNum) |
||
| 883 | { |
||
| 884 | if ($fNum <= 2) { |
||
| 885 | $fNum2 = $fNum * 0.5; |
||
| 886 | $y = ($fNum2 * $fNum2); |
||
| 887 | $fRet = -log($fNum2) * self::BESSELI($fNum, 0) + |
||
| 888 | (-0.57721566 + $y * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y * |
||
| 889 | (0.10750e-3 + $y * 0.74e-5)))))); |
||
| 890 | } else { |
||
| 891 | $y = 2 / $fNum; |
||
| 892 | $fRet = exp(-$fNum) / sqrt($fNum) * |
||
| 893 | (1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y * |
||
| 894 | (0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3)))))); |
||
| 895 | } |
||
| 896 | |||
| 897 | return $fRet; |
||
| 898 | } |
||
| 899 | |||
| 900 | private static function besselK1($fNum) |
||
| 901 | { |
||
| 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 | |||
| 915 | return $fRet; |
||
| 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 | * @category Engineering Functions |
||
| 928 | * |
||
| 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 int $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 $ord < 0, BESSELK returns the #NUM! error value. |
||
| 934 | * |
||
| 935 | * @return float|string Result, or a string containing an error |
||
| 936 | */ |
||
| 937 | public static function BESSELK($x, $ord) |
||
| 938 | { |
||
| 939 | $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x); |
||
| 940 | $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord); |
||
| 941 | |||
| 942 | if ((is_numeric($x)) && (is_numeric($ord))) { |
||
| 943 | if (($ord < 0) || ($x == 0.0)) { |
||
| 944 | return Functions::NAN(); |
||
| 945 | } |
||
| 946 | |||
| 947 | switch (floor($ord)) { |
||
| 948 | case 0: |
||
| 949 | $fBk = self::besselK0($x); |
||
| 950 | |||
| 951 | break; |
||
| 952 | case 1: |
||
| 953 | $fBk = self::besselK1($x); |
||
| 954 | |||
| 955 | break; |
||
| 956 | default: |
||
| 957 | $fTox = 2 / $x; |
||
| 958 | $fBkm = self::besselK0($x); |
||
| 959 | $fBk = self::besselK1($x); |
||
| 960 | for ($n = 1; $n < $ord; ++$n) { |
||
| 961 | $fBkp = $fBkm + $n * $fTox * $fBk; |
||
| 962 | $fBkm = $fBk; |
||
| 963 | $fBk = $fBkp; |
||
| 964 | } |
||
| 965 | } |
||
| 966 | |||
| 967 | return (is_nan($fBk)) ? Functions::NAN() : $fBk; |
||
| 968 | } |
||
| 969 | |||
| 970 | return Functions::VALUE(); |
||
| 971 | } |
||
| 972 | |||
| 973 | private static function besselY0($fNum) |
||
| 974 | { |
||
| 975 | if ($fNum < 8.0) { |
||
| 976 | $y = ($fNum * $fNum); |
||
| 977 | $f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733)))); |
||
| 978 | $f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.26470 + $y * (226.1030244 + $y)))); |
||
| 979 | $fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum); |
||
| 980 | } else { |
||
| 981 | $z = 8.0 / $fNum; |
||
| 982 | $y = ($z * $z); |
||
| 983 | $xx = $fNum - 0.785398164; |
||
| 984 | $f1 = 1 + $y * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6))); |
||
| 985 | $f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7)))); |
||
| 986 | $fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2); |
||
| 987 | } |
||
| 988 | |||
| 989 | return $fRet; |
||
| 990 | } |
||
| 991 | |||
| 992 | private static function besselY1($fNum) |
||
| 993 | { |
||
| 994 | if ($fNum < 8.0) { |
||
| 995 | $y = ($fNum * $fNum); |
||
| 996 | $f1 = $fNum * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y * |
||
| 997 | (-0.4237922726e7 + $y * 0.8511937935e4))))); |
||
| 998 | $f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y * |
||
| 999 | (0.1020426050e6 + $y * (0.3549632885e3 + $y))))); |
||
| 1000 | $fRet = $f1 / $f2 + 0.636619772 * (self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum); |
||
| 1001 | } else { |
||
| 1002 | $fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491); |
||
| 1003 | } |
||
| 1004 | |||
| 1005 | return $fRet; |
||
| 1006 | } |
||
| 1007 | |||
| 1008 | /** |
||
| 1009 | * BESSELY. |
||
| 1010 | * |
||
| 1011 | * Returns the Bessel function, which is also called the Weber function or the Neumann function. |
||
| 1012 | * |
||
| 1013 | * Excel Function: |
||
| 1014 | * BESSELY(x,ord) |
||
| 1015 | * |
||
| 1016 | * @category Engineering Functions |
||
| 1017 | * |
||
| 1018 | * @param float $x The value at which to evaluate the function. |
||
| 1019 | * If x is nonnumeric, BESSELK returns the #VALUE! error value. |
||
| 1020 | * @param int $ord The order of the Bessel function. If n is not an integer, it is truncated. |
||
| 1021 | * If $ord is nonnumeric, BESSELK returns the #VALUE! error value. |
||
| 1022 | * If $ord < 0, BESSELK returns the #NUM! error value. |
||
| 1023 | * |
||
| 1024 | * @return float|string Result, or a string containing an error |
||
| 1025 | */ |
||
| 1026 | public static function BESSELY($x, $ord) |
||
| 1027 | { |
||
| 1028 | $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x); |
||
| 1029 | $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord); |
||
| 1030 | |||
| 1031 | if ((is_numeric($x)) && (is_numeric($ord))) { |
||
| 1032 | if (($ord < 0) || ($x == 0.0)) { |
||
| 1033 | return Functions::NAN(); |
||
| 1034 | } |
||
| 1035 | |||
| 1036 | switch (floor($ord)) { |
||
| 1037 | case 0: |
||
| 1038 | $fBy = self::besselY0($x); |
||
| 1039 | |||
| 1040 | break; |
||
| 1041 | case 1: |
||
| 1042 | $fBy = self::besselY1($x); |
||
| 1043 | |||
| 1044 | break; |
||
| 1045 | default: |
||
| 1046 | $fTox = 2 / $x; |
||
| 1047 | $fBym = self::besselY0($x); |
||
| 1048 | $fBy = self::besselY1($x); |
||
| 1049 | for ($n = 1; $n < $ord; ++$n) { |
||
| 1050 | $fByp = $n * $fTox * $fBy - $fBym; |
||
| 1051 | $fBym = $fBy; |
||
| 1052 | $fBy = $fByp; |
||
| 1053 | } |
||
| 1054 | } |
||
| 1055 | |||
| 1056 | return (is_nan($fBy)) ? Functions::NAN() : $fBy; |
||
| 1057 | } |
||
| 1058 | |||
| 1059 | return Functions::VALUE(); |
||
| 1060 | } |
||
| 1061 | |||
| 1062 | /** |
||
| 1063 | * BINTODEC. |
||
| 1064 | * |
||
| 1065 | * Return a binary value as decimal. |
||
| 1066 | * |
||
| 1067 | * Excel Function: |
||
| 1068 | * BIN2DEC(x) |
||
| 1069 | * |
||
| 1070 | * @category Engineering Functions |
||
| 1071 | * |
||
| 1072 | * @param string $x The binary number (as a string) that you want to convert. The number |
||
| 1073 | * cannot contain more than 10 characters (10 bits). The most significant |
||
| 1074 | * bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
||
| 1075 | * Negative numbers are represented using two's-complement notation. |
||
| 1076 | * If number is not a valid binary number, or if number contains more than |
||
| 1077 | * 10 characters (10 bits), BIN2DEC returns the #NUM! error value. |
||
| 1078 | * |
||
| 1079 | * @return string |
||
| 1080 | */ |
||
| 1081 | public static function BINTODEC($x) |
||
| 1082 | { |
||
| 1083 | $x = Functions::flattenSingleValue($x); |
||
| 1084 | |||
| 1085 | if (is_bool($x)) { |
||
| 1086 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) { |
||
| 1087 | $x = (int) $x; |
||
| 1088 | } else { |
||
| 1089 | return Functions::VALUE(); |
||
| 1090 | } |
||
| 1091 | } |
||
| 1092 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) { |
||
| 1093 | $x = floor($x); |
||
| 1094 | } |
||
| 1095 | $x = (string) $x; |
||
| 1096 | if (strlen($x) > preg_match_all('/[01]/', $x, $out)) { |
||
| 1097 | return Functions::NAN(); |
||
| 1098 | } |
||
| 1099 | if (strlen($x) > 10) { |
||
| 1100 | return Functions::NAN(); |
||
| 1101 | } elseif (strlen($x) == 10) { |
||
| 1102 | // Two's Complement |
||
| 1103 | $x = substr($x, -9); |
||
| 1104 | |||
| 1105 | return '-' . (512 - bindec($x)); |
||
| 1106 | } |
||
| 1107 | |||
| 1108 | return bindec($x); |
||
| 1109 | } |
||
| 1110 | |||
| 1111 | /** |
||
| 1112 | * BINTOHEX. |
||
| 1113 | * |
||
| 1114 | * Return a binary value as hex. |
||
| 1115 | * |
||
| 1116 | * Excel Function: |
||
| 1117 | * BIN2HEX(x[,places]) |
||
| 1118 | * |
||
| 1119 | * @category Engineering Functions |
||
| 1120 | * |
||
| 1121 | * @param string $x The binary number (as a string) that you want to convert. The number |
||
| 1122 | * cannot contain more than 10 characters (10 bits). The most significant |
||
| 1123 | * bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
||
| 1124 | * Negative numbers are represented using two's-complement notation. |
||
| 1125 | * If number is not a valid binary number, or if number contains more than |
||
| 1126 | * 10 characters (10 bits), BIN2HEX returns the #NUM! error value. |
||
| 1127 | * @param int $places The number of characters to use. If places is omitted, BIN2HEX uses the |
||
| 1128 | * minimum number of characters necessary. Places is useful for padding the |
||
| 1129 | * return value with leading 0s (zeros). |
||
| 1130 | * If places is not an integer, it is truncated. |
||
| 1131 | * If places is nonnumeric, BIN2HEX returns the #VALUE! error value. |
||
| 1132 | * If places is negative, BIN2HEX returns the #NUM! error value. |
||
| 1133 | * |
||
| 1134 | * @return string |
||
| 1135 | */ |
||
| 1136 | public static function BINTOHEX($x, $places = null) |
||
| 1137 | { |
||
| 1138 | $x = Functions::flattenSingleValue($x); |
||
| 1139 | $places = Functions::flattenSingleValue($places); |
||
| 1140 | |||
| 1141 | // Argument X |
||
| 1142 | if (is_bool($x)) { |
||
| 1143 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) { |
||
| 1144 | $x = (int) $x; |
||
| 1145 | } else { |
||
| 1146 | return Functions::VALUE(); |
||
| 1147 | } |
||
| 1148 | } |
||
| 1149 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) { |
||
| 1150 | $x = floor($x); |
||
| 1151 | } |
||
| 1152 | $x = (string) $x; |
||
| 1153 | if (strlen($x) > preg_match_all('/[01]/', $x, $out)) { |
||
| 1154 | return Functions::NAN(); |
||
| 1155 | } |
||
| 1156 | if (strlen($x) > 10) { |
||
| 1157 | return Functions::NAN(); |
||
| 1158 | } elseif (strlen($x) == 10) { |
||
| 1159 | // Two's Complement |
||
| 1160 | return str_repeat('F', 8) . substr(strtoupper(dechex(bindec(substr($x, -9)))), -2); |
||
| 1161 | } |
||
| 1162 | $hexVal = (string) strtoupper(dechex(bindec($x))); |
||
| 1163 | |||
| 1164 | return self::nbrConversionFormat($hexVal, $places); |
||
| 1165 | } |
||
| 1166 | |||
| 1167 | /** |
||
| 1168 | * BINTOOCT. |
||
| 1169 | * |
||
| 1170 | * Return a binary value as octal. |
||
| 1171 | * |
||
| 1172 | * Excel Function: |
||
| 1173 | * BIN2OCT(x[,places]) |
||
| 1174 | * |
||
| 1175 | * @category Engineering Functions |
||
| 1176 | * |
||
| 1177 | * @param string $x The binary number (as a string) that you want to convert. The number |
||
| 1178 | * cannot contain more than 10 characters (10 bits). The most significant |
||
| 1179 | * bit of number is the sign bit. The remaining 9 bits are magnitude bits. |
||
| 1180 | * Negative numbers are represented using two's-complement notation. |
||
| 1181 | * If number is not a valid binary number, or if number contains more than |
||
| 1182 | * 10 characters (10 bits), BIN2OCT returns the #NUM! error value. |
||
| 1183 | * @param int $places The number of characters to use. If places is omitted, BIN2OCT uses the |
||
| 1184 | * minimum number of characters necessary. Places is useful for padding the |
||
| 1185 | * return value with leading 0s (zeros). |
||
| 1186 | * If places is not an integer, it is truncated. |
||
| 1187 | * If places is nonnumeric, BIN2OCT returns the #VALUE! error value. |
||
| 1188 | * If places is negative, BIN2OCT returns the #NUM! error value. |
||
| 1189 | * |
||
| 1190 | * @return string |
||
| 1191 | */ |
||
| 1192 | public static function BINTOOCT($x, $places = null) |
||
| 1193 | { |
||
| 1194 | $x = Functions::flattenSingleValue($x); |
||
| 1195 | $places = Functions::flattenSingleValue($places); |
||
| 1196 | |||
| 1197 | if (is_bool($x)) { |
||
| 1198 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) { |
||
| 1199 | $x = (int) $x; |
||
| 1200 | } else { |
||
| 1201 | return Functions::VALUE(); |
||
| 1202 | } |
||
| 1203 | } |
||
| 1204 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) { |
||
| 1205 | $x = floor($x); |
||
| 1206 | } |
||
| 1207 | $x = (string) $x; |
||
| 1208 | if (strlen($x) > preg_match_all('/[01]/', $x, $out)) { |
||
| 1209 | return Functions::NAN(); |
||
| 1210 | } |
||
| 1211 | if (strlen($x) > 10) { |
||
| 1212 | return Functions::NAN(); |
||
| 1213 | } elseif (strlen($x) == 10) { |
||
| 1214 | // Two's Complement |
||
| 1215 | return str_repeat('7', 7) . substr(strtoupper(decoct(bindec(substr($x, -9)))), -3); |
||
| 1216 | } |
||
| 1217 | $octVal = (string) decoct(bindec($x)); |
||
| 1218 | |||
| 1219 | return self::nbrConversionFormat($octVal, $places); |
||
| 1220 | } |
||
| 1221 | |||
| 1222 | /** |
||
| 1223 | * DECTOBIN. |
||
| 1224 | * |
||
| 1225 | * Return a decimal value as binary. |
||
| 1226 | * |
||
| 1227 | * Excel Function: |
||
| 1228 | * DEC2BIN(x[,places]) |
||
| 1229 | * |
||
| 1230 | * @category Engineering Functions |
||
| 1231 | * |
||
| 1232 | * @param string $x The decimal integer you want to convert. If number is negative, |
||
| 1233 | * valid place values are ignored and DEC2BIN returns a 10-character |
||
| 1234 | * (10-bit) binary number in which the most significant bit is the sign |
||
| 1235 | * bit. The remaining 9 bits are magnitude bits. Negative numbers are |
||
| 1236 | * represented using two's-complement notation. |
||
| 1237 | * If number < -512 or if number > 511, DEC2BIN returns the #NUM! error |
||
| 1238 | * value. |
||
| 1239 | * If number is nonnumeric, DEC2BIN returns the #VALUE! error value. |
||
| 1240 | * If DEC2BIN requires more than places characters, it returns the #NUM! |
||
| 1241 | * error value. |
||
| 1242 | * @param int $places The number of characters to use. If places is omitted, DEC2BIN uses |
||
| 1243 | * the minimum number of characters necessary. Places is useful for |
||
| 1244 | * padding the return value with leading 0s (zeros). |
||
| 1245 | * If places is not an integer, it is truncated. |
||
| 1246 | * If places is nonnumeric, DEC2BIN returns the #VALUE! error value. |
||
| 1247 | * If places is zero or negative, DEC2BIN returns the #NUM! error value. |
||
| 1248 | * |
||
| 1249 | * @return string |
||
| 1250 | */ |
||
| 1251 | public static function DECTOBIN($x, $places = null) |
||
| 1252 | { |
||
| 1253 | $x = Functions::flattenSingleValue($x); |
||
| 1254 | $places = Functions::flattenSingleValue($places); |
||
| 1255 | |||
| 1256 | if (is_bool($x)) { |
||
| 1257 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) { |
||
| 1258 | $x = (int) $x; |
||
| 1259 | } else { |
||
| 1260 | return Functions::VALUE(); |
||
| 1261 | } |
||
| 1262 | } |
||
| 1263 | $x = (string) $x; |
||
| 1264 | if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) { |
||
| 1265 | return Functions::VALUE(); |
||
| 1266 | } |
||
| 1267 | |||
| 1268 | $x = (string) floor($x); |
||
| 1269 | if ($x < -512 || $x > 511) { |
||
| 1270 | return Functions::NAN(); |
||
| 1271 | } |
||
| 1272 | |||
| 1273 | $r = decbin($x); |
||
| 1274 | // Two's Complement |
||
| 1275 | $r = substr($r, -10); |
||
| 1276 | if (strlen($r) >= 11) { |
||
| 1277 | return Functions::NAN(); |
||
| 1278 | } |
||
| 1279 | |||
| 1280 | return self::nbrConversionFormat($r, $places); |
||
| 1281 | } |
||
| 1282 | |||
| 1283 | /** |
||
| 1284 | * DECTOHEX. |
||
| 1285 | * |
||
| 1286 | * Return a decimal value as hex. |
||
| 1287 | * |
||
| 1288 | * Excel Function: |
||
| 1289 | * DEC2HEX(x[,places]) |
||
| 1290 | * |
||
| 1291 | * @category Engineering Functions |
||
| 1292 | * |
||
| 1293 | * @param string $x The decimal integer you want to convert. If number is negative, |
||
| 1294 | * places is ignored and DEC2HEX returns a 10-character (40-bit) |
||
| 1295 | * hexadecimal number in which the most significant bit is the sign |
||
| 1296 | * bit. The remaining 39 bits are magnitude bits. Negative numbers |
||
| 1297 | * are represented using two's-complement notation. |
||
| 1298 | * If number < -549,755,813,888 or if number > 549,755,813,887, |
||
| 1299 | * DEC2HEX returns the #NUM! error value. |
||
| 1300 | * If number is nonnumeric, DEC2HEX returns the #VALUE! error value. |
||
| 1301 | * If DEC2HEX requires more than places characters, it returns the |
||
| 1302 | * #NUM! error value. |
||
| 1303 | * @param int $places The number of characters to use. If places is omitted, DEC2HEX uses |
||
| 1304 | * the minimum number of characters necessary. Places is useful for |
||
| 1305 | * padding the return value with leading 0s (zeros). |
||
| 1306 | * If places is not an integer, it is truncated. |
||
| 1307 | * If places is nonnumeric, DEC2HEX returns the #VALUE! error value. |
||
| 1308 | * If places is zero or negative, DEC2HEX returns the #NUM! error value. |
||
| 1309 | * |
||
| 1310 | * @return string |
||
| 1311 | */ |
||
| 1312 | public static function DECTOHEX($x, $places = null) |
||
| 1313 | { |
||
| 1314 | $x = Functions::flattenSingleValue($x); |
||
| 1315 | $places = Functions::flattenSingleValue($places); |
||
| 1316 | |||
| 1317 | if (is_bool($x)) { |
||
| 1318 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) { |
||
| 1319 | $x = (int) $x; |
||
| 1320 | } else { |
||
| 1321 | return Functions::VALUE(); |
||
| 1322 | } |
||
| 1323 | } |
||
| 1324 | $x = (string) $x; |
||
| 1325 | if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) { |
||
| 1326 | return Functions::VALUE(); |
||
| 1327 | } |
||
| 1328 | $x = (string) floor($x); |
||
| 1329 | $r = strtoupper(dechex($x)); |
||
| 1330 | if (strlen($r) == 8) { |
||
| 1331 | // Two's Complement |
||
| 1332 | $r = 'FF' . $r; |
||
| 1333 | } |
||
| 1334 | |||
| 1335 | return self::nbrConversionFormat($r, $places); |
||
| 1336 | } |
||
| 1337 | |||
| 1338 | /** |
||
| 1339 | * DECTOOCT. |
||
| 1340 | * |
||
| 1341 | * Return an decimal value as octal. |
||
| 1342 | * |
||
| 1343 | * Excel Function: |
||
| 1344 | * DEC2OCT(x[,places]) |
||
| 1345 | * |
||
| 1346 | * @category Engineering Functions |
||
| 1347 | * |
||
| 1348 | * @param string $x The decimal integer you want to convert. If number is negative, |
||
| 1349 | * places is ignored and DEC2OCT returns a 10-character (30-bit) |
||
| 1350 | * octal number in which the most significant bit is the sign bit. |
||
| 1351 | * The remaining 29 bits are magnitude bits. Negative numbers are |
||
| 1352 | * represented using two's-complement notation. |
||
| 1353 | * If number < -536,870,912 or if number > 536,870,911, DEC2OCT |
||
| 1354 | * returns the #NUM! error value. |
||
| 1355 | * If number is nonnumeric, DEC2OCT returns the #VALUE! error value. |
||
| 1356 | * If DEC2OCT requires more than places characters, it returns the |
||
| 1357 | * #NUM! error value. |
||
| 1358 | * @param int $places The number of characters to use. If places is omitted, DEC2OCT uses |
||
| 1359 | * the minimum number of characters necessary. Places is useful for |
||
| 1360 | * padding the return value with leading 0s (zeros). |
||
| 1361 | * If places is not an integer, it is truncated. |
||
| 1362 | * If places is nonnumeric, DEC2OCT returns the #VALUE! error value. |
||
| 1363 | * If places is zero or negative, DEC2OCT returns the #NUM! error value. |
||
| 1364 | * |
||
| 1365 | * @return string |
||
| 1366 | */ |
||
| 1367 | public static function DECTOOCT($x, $places = null) |
||
| 1368 | { |
||
| 1369 | $xorig = $x; |
||
| 1370 | $x = Functions::flattenSingleValue($x); |
||
| 1371 | $places = Functions::flattenSingleValue($places); |
||
| 1372 | |||
| 1373 | if (is_bool($x)) { |
||
| 1374 | if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) { |
||
| 1375 | $x = (int) $x; |
||
| 1376 | } else { |
||
| 1377 | return Functions::VALUE(); |
||
| 1378 | } |
||
| 1379 | } |
||
| 1380 | $x = (string) $x; |
||
| 1381 | if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) { |
||
| 1382 | return Functions::VALUE(); |
||
| 1383 | } |
||
| 1384 | $x = (string) floor($x); |
||
| 1385 | $r = decoct($x); |
||
| 1386 | if (strlen($r) == 11) { |
||
| 1387 | // Two's Complement |
||
| 1388 | $r = substr($r, -10); |
||
| 1389 | } |
||
| 1390 | |||
| 1391 | return self::nbrConversionFormat($r, $places); |
||
| 1392 | } |
||
| 1393 | |||
| 1394 | /** |
||
| 1395 | * HEXTOBIN. |
||
| 1396 | * |
||
| 1397 | * Return a hex value as binary. |
||
| 1398 | * |
||
| 1399 | * Excel Function: |
||
| 1400 | * HEX2BIN(x[,places]) |
||
| 1401 | * |
||
| 1402 | * @category Engineering Functions |
||
| 1403 | * |
||
| 1404 | * @param string $x the hexadecimal number you want to convert. |
||
| 1405 | * Number cannot contain more than 10 characters. |
||
| 1406 | * The most significant bit of number is the sign bit (40th bit from the right). |
||
| 1407 | * The remaining 9 bits are magnitude bits. |
||
| 1408 | * Negative numbers are represented using two's-complement notation. |
||
| 1409 | * If number is negative, HEX2BIN ignores places and returns a 10-character binary number. |
||
| 1410 | * If number is negative, it cannot be less than FFFFFFFE00, |
||
| 1411 | * and if number is positive, it cannot be greater than 1FF. |
||
| 1412 | * If number is not a valid hexadecimal number, HEX2BIN returns the #NUM! error value. |
||
| 1413 | * If HEX2BIN requires more than places characters, it returns the #NUM! error value. |
||
| 1414 | * @param int $places The number of characters to use. If places is omitted, |
||
| 1415 | * HEX2BIN uses the minimum number of characters necessary. Places |
||
| 1416 | * is useful for padding the return value with leading 0s (zeros). |
||
| 1417 | * If places is not an integer, it is truncated. |
||
| 1418 | * If places is nonnumeric, HEX2BIN returns the #VALUE! error value. |
||
| 1419 | * If places is negative, HEX2BIN returns the #NUM! error value. |
||
| 1420 | * |
||
| 1421 | * @return string |
||
| 1422 | */ |
||
| 1423 | public static function HEXTOBIN($x, $places = null) |
||
| 1424 | { |
||
| 1425 | $x = Functions::flattenSingleValue($x); |
||
| 1426 | $places = Functions::flattenSingleValue($places); |
||
| 1427 | |||
| 1428 | if (is_bool($x)) { |
||
| 1429 | return Functions::VALUE(); |
||
| 1430 | } |
||
| 1431 | $x = (string) $x; |
||
| 1432 | if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) { |
||
| 1433 | return Functions::NAN(); |
||
| 1434 | } |
||
| 1435 | |||
| 1436 | return self::DECTOBIN(self::HEXTODEC($x), $places); |
||
| 1437 | } |
||
| 1438 | |||
| 1439 | /** |
||
| 1440 | * HEXTODEC. |
||
| 1441 | * |
||
| 1442 | * Return a hex value as decimal. |
||
| 1443 | * |
||
| 1444 | * Excel Function: |
||
| 1445 | * HEX2DEC(x) |
||
| 1446 | * |
||
| 1447 | * @category Engineering Functions |
||
| 1448 | * |
||
| 1449 | * @param string $x The hexadecimal number you want to convert. This number cannot |
||
| 1450 | * contain more than 10 characters (40 bits). The most significant |
||
| 1451 | * bit of number is the sign bit. The remaining 39 bits are magnitude |
||
| 1452 | * bits. Negative numbers are represented using two's-complement |
||
| 1453 | * notation. |
||
| 1454 | * If number is not a valid hexadecimal number, HEX2DEC returns the |
||
| 1455 | * #NUM! error value. |
||
| 1456 | * |
||
| 1457 | * @return string |
||
| 1458 | */ |
||
| 1459 | public static function HEXTODEC($x) |
||
| 1460 | { |
||
| 1461 | $x = Functions::flattenSingleValue($x); |
||
| 1462 | |||
| 1463 | if (is_bool($x)) { |
||
| 1464 | return Functions::VALUE(); |
||
| 1465 | } |
||
| 1466 | $x = (string) $x; |
||
| 1467 | if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) { |
||
| 1468 | return Functions::NAN(); |
||
| 1469 | } |
||
| 1470 | |||
| 1471 | if (strlen($x) > 10) { |
||
| 1472 | return Functions::NAN(); |
||
| 1473 | } |
||
| 1474 | |||
| 1475 | $binX = ''; |
||
| 1476 | foreach (str_split($x) as $char) { |
||
| 1477 | $binX .= str_pad(base_convert($char, 16, 2), 4, '0', STR_PAD_LEFT); |
||
| 1478 | } |
||
| 1479 | if (strlen($binX) == 40 && $binX[0] == '1') { |
||
| 1480 | for ($i = 0; $i < 40; ++$i) { |
||
| 1481 | $binX[$i] = ($binX[$i] == '1' ? '0' : '1'); |
||
| 1482 | } |
||
| 1483 | |||
| 1484 | return (bindec($binX) + 1) * -1; |
||
| 1485 | } |
||
| 1486 | |||
| 1487 | return bindec($binX); |
||
| 1488 | } |
||
| 1489 | |||
| 1490 | /** |
||
| 1491 | * HEXTOOCT. |
||
| 1492 | * |
||
| 1493 | * Return a hex value as octal. |
||
| 1494 | * |
||
| 1495 | * Excel Function: |
||
| 1496 | * HEX2OCT(x[,places]) |
||
| 1497 | * |
||
| 1498 | * @category Engineering Functions |
||
| 1499 | * |
||
| 1500 | * @param string $x The hexadecimal number you want to convert. Number cannot |
||
| 1501 | * contain more than 10 characters. The most significant bit of |
||
| 1502 | * number is the sign bit. The remaining 39 bits are magnitude |
||
| 1503 | * bits. Negative numbers are represented using two's-complement |
||
| 1504 | * notation. |
||
| 1505 | * If number is negative, HEX2OCT ignores places and returns a |
||
| 1506 | * 10-character octal number. |
||
| 1507 | * If number is negative, it cannot be less than FFE0000000, and |
||
| 1508 | * if number is positive, it cannot be greater than 1FFFFFFF. |
||
| 1509 | * If number is not a valid hexadecimal number, HEX2OCT returns |
||
| 1510 | * the #NUM! error value. |
||
| 1511 | * If HEX2OCT requires more than places characters, it returns |
||
| 1512 | * the #NUM! error value. |
||
| 1513 | * @param int $places The number of characters to use. If places is omitted, HEX2OCT |
||
| 1514 | * uses the minimum number of characters necessary. Places is |
||
| 1515 | * useful for padding the return value with leading 0s (zeros). |
||
| 1516 | * If places is not an integer, it is truncated. |
||
| 1517 | * If places is nonnumeric, HEX2OCT returns the #VALUE! error |
||
| 1518 | * value. |
||
| 1519 | * If places is negative, HEX2OCT returns the #NUM! error value. |
||
| 1520 | * |
||
| 1521 | * @return string |
||
| 1522 | */ |
||
| 1523 | public static function HEXTOOCT($x, $places = null) |
||
| 1524 | { |
||
| 1525 | $x = Functions::flattenSingleValue($x); |
||
| 1526 | $places = Functions::flattenSingleValue($places); |
||
| 1527 | |||
| 1528 | if (is_bool($x)) { |
||
| 1529 | return Functions::VALUE(); |
||
| 1530 | } |
||
| 1531 | $x = (string) $x; |
||
| 1532 | if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) { |
||
| 1533 | return Functions::NAN(); |
||
| 1534 | } |
||
| 1535 | |||
| 1536 | $decimal = self::HEXTODEC($x); |
||
| 1537 | if ($decimal < -536870912 || $decimal > 536870911) { |
||
| 1538 | return Functions::NAN(); |
||
| 1539 | } |
||
| 1540 | |||
| 1541 | return self::DECTOOCT($decimal, $places); |
||
| 1542 | } |
||
| 1543 | |||
| 1544 | /** |
||
| 1545 | * OCTTOBIN. |
||
| 1546 | * |
||
| 1547 | * Return an octal value as binary. |
||
| 1548 | * |
||
| 1549 | * Excel Function: |
||
| 1550 | * OCT2BIN(x[,places]) |
||
| 1551 | * |
||
| 1552 | * @category Engineering Functions |
||
| 1553 | * |
||
| 1554 | * @param string $x The octal number you want to convert. Number may not |
||
| 1555 | * contain more than 10 characters. The most significant |
||
| 1556 | * bit of number is the sign bit. The remaining 29 bits |
||
| 1557 | * are magnitude bits. Negative numbers are represented |
||
| 1558 | * using two's-complement notation. |
||
| 1559 | * If number is negative, OCT2BIN ignores places and returns |
||
| 1560 | * a 10-character binary number. |
||
| 1561 | * If number is negative, it cannot be less than 7777777000, |
||
| 1562 | * and if number is positive, it cannot be greater than 777. |
||
| 1563 | * If number is not a valid octal number, OCT2BIN returns |
||
| 1564 | * the #NUM! error value. |
||
| 1565 | * If OCT2BIN requires more than places characters, it |
||
| 1566 | * returns the #NUM! error value. |
||
| 1567 | * @param int $places The number of characters to use. If places is omitted, |
||
| 1568 | * OCT2BIN uses the minimum number of characters necessary. |
||
| 1569 | * Places is useful for padding the return value with |
||
| 1570 | * leading 0s (zeros). |
||
| 1571 | * If places is not an integer, it is truncated. |
||
| 1572 | * If places is nonnumeric, OCT2BIN returns the #VALUE! |
||
| 1573 | * error value. |
||
| 1574 | * If places is negative, OCT2BIN returns the #NUM! error |
||
| 1575 | * value. |
||
| 1576 | * |
||
| 1577 | * @return string |
||
| 1578 | */ |
||
| 1579 | public static function OCTTOBIN($x, $places = null) |
||
| 1580 | { |
||
| 1581 | $x = Functions::flattenSingleValue($x); |
||
| 1582 | $places = Functions::flattenSingleValue($places); |
||
| 1583 | |||
| 1584 | if (is_bool($x)) { |
||
| 1585 | return Functions::VALUE(); |
||
| 1586 | } |
||
| 1587 | $x = (string) $x; |
||
| 1588 | if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) { |
||
| 1589 | return Functions::NAN(); |
||
| 1590 | } |
||
| 1591 | |||
| 1592 | return self::DECTOBIN(self::OCTTODEC($x), $places); |
||
| 1593 | } |
||
| 1594 | |||
| 1595 | /** |
||
| 1596 | * OCTTODEC. |
||
| 1597 | * |
||
| 1598 | * Return an octal value as decimal. |
||
| 1599 | * |
||
| 1600 | * Excel Function: |
||
| 1601 | * OCT2DEC(x) |
||
| 1602 | * |
||
| 1603 | * @category Engineering Functions |
||
| 1604 | * |
||
| 1605 | * @param string $x The octal number you want to convert. Number may not contain |
||
| 1606 | * more than 10 octal characters (30 bits). The most significant |
||
| 1607 | * bit of number is the sign bit. The remaining 29 bits are |
||
| 1608 | * magnitude bits. Negative numbers are represented using |
||
| 1609 | * two's-complement notation. |
||
| 1610 | * If number is not a valid octal number, OCT2DEC returns the |
||
| 1611 | * #NUM! error value. |
||
| 1612 | * |
||
| 1613 | * @return string |
||
| 1614 | */ |
||
| 1615 | public static function OCTTODEC($x) |
||
| 1616 | { |
||
| 1617 | $x = Functions::flattenSingleValue($x); |
||
| 1618 | |||
| 1619 | if (is_bool($x)) { |
||
| 1620 | return Functions::VALUE(); |
||
| 1621 | } |
||
| 1622 | $x = (string) $x; |
||
| 1623 | if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) { |
||
| 1624 | return Functions::NAN(); |
||
| 1625 | } |
||
| 1626 | $binX = ''; |
||
| 1627 | foreach (str_split($x) as $char) { |
||
| 1628 | $binX .= str_pad(decbin((int) $char), 3, '0', STR_PAD_LEFT); |
||
| 1629 | } |
||
| 1630 | if (strlen($binX) == 30 && $binX[0] == '1') { |
||
| 1631 | for ($i = 0; $i < 30; ++$i) { |
||
| 1632 | $binX[$i] = ($binX[$i] == '1' ? '0' : '1'); |
||
| 1633 | } |
||
| 1634 | |||
| 1635 | return (bindec($binX) + 1) * -1; |
||
| 1636 | } |
||
| 1637 | |||
| 1638 | return bindec($binX); |
||
| 1639 | } |
||
| 1640 | |||
| 1641 | /** |
||
| 1642 | * OCTTOHEX. |
||
| 1643 | * |
||
| 1644 | * Return an octal value as hex. |
||
| 1645 | * |
||
| 1646 | * Excel Function: |
||
| 1647 | * OCT2HEX(x[,places]) |
||
| 1648 | * |
||
| 1649 | * @category Engineering Functions |
||
| 1650 | * |
||
| 1651 | * @param string $x The octal number you want to convert. Number may not contain |
||
| 1652 | * more than 10 octal characters (30 bits). The most significant |
||
| 1653 | * bit of number is the sign bit. The remaining 29 bits are |
||
| 1654 | * magnitude bits. Negative numbers are represented using |
||
| 1655 | * two's-complement notation. |
||
| 1656 | * If number is negative, OCT2HEX ignores places and returns a |
||
| 1657 | * 10-character hexadecimal number. |
||
| 1658 | * If number is not a valid octal number, OCT2HEX returns the |
||
| 1659 | * #NUM! error value. |
||
| 1660 | * If OCT2HEX requires more than places characters, it returns |
||
| 1661 | * the #NUM! error value. |
||
| 1662 | * @param int $places The number of characters to use. If places is omitted, OCT2HEX |
||
| 1663 | * uses the minimum number of characters necessary. Places is useful |
||
| 1664 | * for padding the return value with leading 0s (zeros). |
||
| 1665 | * If places is not an integer, it is truncated. |
||
| 1666 | * If places is nonnumeric, OCT2HEX returns the #VALUE! error value. |
||
| 1667 | * If places is negative, OCT2HEX returns the #NUM! error value. |
||
| 1668 | * |
||
| 1669 | * @return string |
||
| 1670 | */ |
||
| 1671 | public static function OCTTOHEX($x, $places = null) |
||
| 1672 | { |
||
| 1673 | $x = Functions::flattenSingleValue($x); |
||
| 1674 | $places = Functions::flattenSingleValue($places); |
||
| 1675 | |||
| 1676 | if (is_bool($x)) { |
||
| 1677 | return Functions::VALUE(); |
||
| 1678 | } |
||
| 1679 | $x = (string) $x; |
||
| 1680 | if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) { |
||
| 1681 | return Functions::NAN(); |
||
| 1682 | } |
||
| 1683 | $hexVal = strtoupper(dechex(self::OCTTODEC($x))); |
||
| 1684 | |||
| 1685 | return self::nbrConversionFormat($hexVal, $places); |
||
| 1686 | } |
||
| 1687 | |||
| 1688 | /** |
||
| 1689 | * COMPLEX. |
||
| 1690 | * |
||
| 1691 | * Converts real and imaginary coefficients into a complex number of the form x +/- yi or x +/- yj. |
||
| 1692 | * |
||
| 1693 | * Excel Function: |
||
| 1694 | * COMPLEX(realNumber,imaginary[,suffix]) |
||
| 1695 | * |
||
| 1696 | * @category Engineering Functions |
||
| 1697 | * |
||
| 1698 | * @param float $realNumber the real coefficient of the complex number |
||
| 1699 | * @param float $imaginary the imaginary coefficient of the complex number |
||
| 1700 | * @param string $suffix The suffix for the imaginary component of the complex number. |
||
| 1701 | * If omitted, the suffix is assumed to be "i". |
||
| 1702 | * |
||
| 1703 | * @return string |
||
| 1704 | */ |
||
| 1705 | public static function COMPLEX($realNumber = 0.0, $imaginary = 0.0, $suffix = 'i') |
||
| 1706 | { |
||
| 1707 | $realNumber = ($realNumber === null) ? 0.0 : Functions::flattenSingleValue($realNumber); |
||
| 1708 | $imaginary = ($imaginary === null) ? 0.0 : Functions::flattenSingleValue($imaginary); |
||
| 1709 | $suffix = ($suffix === null) ? 'i' : Functions::flattenSingleValue($suffix); |
||
| 1710 | |||
| 1711 | if ( |
||
| 1712 | ((is_numeric($realNumber)) && (is_numeric($imaginary))) && |
||
| 1713 | (($suffix == 'i') || ($suffix == 'j') || ($suffix == '')) |
||
| 1714 | ) { |
||
| 1715 | $complex = new Complex($realNumber, $imaginary, $suffix); |
||
| 1716 | |||
| 1717 | return (string) $complex; |
||
| 1718 | } |
||
| 1719 | |||
| 1720 | return Functions::VALUE(); |
||
| 1721 | } |
||
| 1722 | |||
| 1723 | /** |
||
| 1724 | * IMAGINARY. |
||
| 1725 | * |
||
| 1726 | * Returns the imaginary coefficient of a complex number in x + yi or x + yj text format. |
||
| 1727 | * |
||
| 1728 | * Excel Function: |
||
| 1729 | * IMAGINARY(complexNumber) |
||
| 1730 | * |
||
| 1731 | * @category Engineering Functions |
||
| 1732 | * |
||
| 1733 | * @param string $complexNumber the complex number for which you want the imaginary |
||
| 1734 | * coefficient |
||
| 1735 | * |
||
| 1736 | * @return float |
||
| 1737 | */ |
||
| 1738 | public static function IMAGINARY($complexNumber) |
||
| 1739 | { |
||
| 1740 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1741 | |||
| 1742 | return (new Complex($complexNumber))->getImaginary(); |
||
| 1743 | } |
||
| 1744 | |||
| 1745 | /** |
||
| 1746 | * IMREAL. |
||
| 1747 | * |
||
| 1748 | * Returns the real coefficient of a complex number in x + yi or x + yj text format. |
||
| 1749 | * |
||
| 1750 | * Excel Function: |
||
| 1751 | * IMREAL(complexNumber) |
||
| 1752 | * |
||
| 1753 | * @category Engineering Functions |
||
| 1754 | * |
||
| 1755 | * @param string $complexNumber the complex number for which you want the real coefficient |
||
| 1756 | * |
||
| 1757 | * @return float |
||
| 1758 | */ |
||
| 1759 | public static function IMREAL($complexNumber) |
||
| 1760 | { |
||
| 1761 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1762 | |||
| 1763 | return (new Complex($complexNumber))->getReal(); |
||
| 1764 | } |
||
| 1765 | |||
| 1766 | /** |
||
| 1767 | * IMABS. |
||
| 1768 | * |
||
| 1769 | * Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format. |
||
| 1770 | * |
||
| 1771 | * Excel Function: |
||
| 1772 | * IMABS(complexNumber) |
||
| 1773 | * |
||
| 1774 | * @param string $complexNumber the complex number for which you want the absolute value |
||
| 1775 | * |
||
| 1776 | * @return float |
||
| 1777 | */ |
||
| 1778 | public static function IMABS($complexNumber) |
||
| 1779 | { |
||
| 1780 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1781 | |||
| 1782 | return (new Complex($complexNumber))->abs(); |
||
| 1783 | } |
||
| 1784 | |||
| 1785 | /** |
||
| 1786 | * IMARGUMENT. |
||
| 1787 | * |
||
| 1788 | * Returns the argument theta of a complex number, i.e. the angle in radians from the real |
||
| 1789 | * axis to the representation of the number in polar coordinates. |
||
| 1790 | * |
||
| 1791 | * Excel Function: |
||
| 1792 | * IMARGUMENT(complexNumber) |
||
| 1793 | * |
||
| 1794 | * @param string $complexNumber the complex number for which you want the argument theta |
||
| 1795 | * |
||
| 1796 | * @return float|string |
||
| 1797 | */ |
||
| 1798 | public static function IMARGUMENT($complexNumber) |
||
| 1799 | { |
||
| 1800 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1801 | |||
| 1802 | $complex = new Complex($complexNumber); |
||
| 1803 | if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) { |
||
| 1804 | return Functions::DIV0(); |
||
| 1805 | } |
||
| 1806 | |||
| 1807 | return $complex->argument(); |
||
| 1808 | } |
||
| 1809 | |||
| 1810 | /** |
||
| 1811 | * IMCONJUGATE. |
||
| 1812 | * |
||
| 1813 | * Returns the complex conjugate of a complex number in x + yi or x + yj text format. |
||
| 1814 | * |
||
| 1815 | * Excel Function: |
||
| 1816 | * IMCONJUGATE(complexNumber) |
||
| 1817 | * |
||
| 1818 | * @param string $complexNumber the complex number for which you want the conjugate |
||
| 1819 | * |
||
| 1820 | * @return string |
||
| 1821 | */ |
||
| 1822 | public static function IMCONJUGATE($complexNumber) |
||
| 1823 | { |
||
| 1824 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1825 | |||
| 1826 | return (string) (new Complex($complexNumber))->conjugate(); |
||
| 1827 | } |
||
| 1828 | |||
| 1829 | /** |
||
| 1830 | * IMCOS. |
||
| 1831 | * |
||
| 1832 | * Returns the cosine of a complex number in x + yi or x + yj text format. |
||
| 1833 | * |
||
| 1834 | * Excel Function: |
||
| 1835 | * IMCOS(complexNumber) |
||
| 1836 | * |
||
| 1837 | * @param string $complexNumber the complex number for which you want the cosine |
||
| 1838 | * |
||
| 1839 | * @return float|string |
||
| 1840 | */ |
||
| 1841 | public static function IMCOS($complexNumber) |
||
| 1842 | { |
||
| 1843 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1844 | |||
| 1845 | return (string) (new Complex($complexNumber))->cos(); |
||
| 1846 | } |
||
| 1847 | |||
| 1848 | /** |
||
| 1849 | * IMCOSH. |
||
| 1850 | * |
||
| 1851 | * Returns the hyperbolic cosine of a complex number in x + yi or x + yj text format. |
||
| 1852 | * |
||
| 1853 | * Excel Function: |
||
| 1854 | * IMCOSH(complexNumber) |
||
| 1855 | * |
||
| 1856 | * @param string $complexNumber the complex number for which you want the hyperbolic cosine |
||
| 1857 | * |
||
| 1858 | * @return float|string |
||
| 1859 | */ |
||
| 1860 | public static function IMCOSH($complexNumber) |
||
| 1861 | { |
||
| 1862 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1863 | |||
| 1864 | return (string) (new Complex($complexNumber))->cosh(); |
||
| 1865 | } |
||
| 1866 | |||
| 1867 | /** |
||
| 1868 | * IMCOT. |
||
| 1869 | * |
||
| 1870 | * Returns the cotangent of a complex number in x + yi or x + yj text format. |
||
| 1871 | * |
||
| 1872 | * Excel Function: |
||
| 1873 | * IMCOT(complexNumber) |
||
| 1874 | * |
||
| 1875 | * @param string $complexNumber the complex number for which you want the cotangent |
||
| 1876 | * |
||
| 1877 | * @return float|string |
||
| 1878 | */ |
||
| 1879 | public static function IMCOT($complexNumber) |
||
| 1880 | { |
||
| 1881 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1882 | |||
| 1883 | return (string) (new Complex($complexNumber))->cot(); |
||
| 1884 | } |
||
| 1885 | |||
| 1886 | /** |
||
| 1887 | * IMCSC. |
||
| 1888 | * |
||
| 1889 | * Returns the cosecant of a complex number in x + yi or x + yj text format. |
||
| 1890 | * |
||
| 1891 | * Excel Function: |
||
| 1892 | * IMCSC(complexNumber) |
||
| 1893 | * |
||
| 1894 | * @param string $complexNumber the complex number for which you want the cosecant |
||
| 1895 | * |
||
| 1896 | * @return float|string |
||
| 1897 | */ |
||
| 1898 | public static function IMCSC($complexNumber) |
||
| 1899 | { |
||
| 1900 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1901 | |||
| 1902 | return (string) (new Complex($complexNumber))->csc(); |
||
| 1903 | } |
||
| 1904 | |||
| 1905 | /** |
||
| 1906 | * IMCSCH. |
||
| 1907 | * |
||
| 1908 | * Returns the hyperbolic cosecant of a complex number in x + yi or x + yj text format. |
||
| 1909 | * |
||
| 1910 | * Excel Function: |
||
| 1911 | * IMCSCH(complexNumber) |
||
| 1912 | * |
||
| 1913 | * @param string $complexNumber the complex number for which you want the hyperbolic cosecant |
||
| 1914 | * |
||
| 1915 | * @return float|string |
||
| 1916 | */ |
||
| 1917 | public static function IMCSCH($complexNumber) |
||
| 1918 | { |
||
| 1919 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1920 | |||
| 1921 | return (string) (new Complex($complexNumber))->csch(); |
||
| 1922 | } |
||
| 1923 | |||
| 1924 | /** |
||
| 1925 | * IMSIN. |
||
| 1926 | * |
||
| 1927 | * Returns the sine of a complex number in x + yi or x + yj text format. |
||
| 1928 | * |
||
| 1929 | * Excel Function: |
||
| 1930 | * IMSIN(complexNumber) |
||
| 1931 | * |
||
| 1932 | * @param string $complexNumber the complex number for which you want the sine |
||
| 1933 | * |
||
| 1934 | * @return float|string |
||
| 1935 | */ |
||
| 1936 | public static function IMSIN($complexNumber) |
||
| 1937 | { |
||
| 1938 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1939 | |||
| 1940 | return (string) (new Complex($complexNumber))->sin(); |
||
| 1941 | } |
||
| 1942 | |||
| 1943 | /** |
||
| 1944 | * IMSINH. |
||
| 1945 | * |
||
| 1946 | * Returns the hyperbolic sine of a complex number in x + yi or x + yj text format. |
||
| 1947 | * |
||
| 1948 | * Excel Function: |
||
| 1949 | * IMSINH(complexNumber) |
||
| 1950 | * |
||
| 1951 | * @param string $complexNumber the complex number for which you want the hyperbolic sine |
||
| 1952 | * |
||
| 1953 | * @return float|string |
||
| 1954 | */ |
||
| 1955 | public static function IMSINH($complexNumber) |
||
| 1956 | { |
||
| 1957 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1958 | |||
| 1959 | return (string) (new Complex($complexNumber))->sinh(); |
||
| 1960 | } |
||
| 1961 | |||
| 1962 | /** |
||
| 1963 | * IMSEC. |
||
| 1964 | * |
||
| 1965 | * Returns the secant of a complex number in x + yi or x + yj text format. |
||
| 1966 | * |
||
| 1967 | * Excel Function: |
||
| 1968 | * IMSEC(complexNumber) |
||
| 1969 | * |
||
| 1970 | * @param string $complexNumber the complex number for which you want the secant |
||
| 1971 | * |
||
| 1972 | * @return float|string |
||
| 1973 | */ |
||
| 1974 | public static function IMSEC($complexNumber) |
||
| 1975 | { |
||
| 1976 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1977 | |||
| 1978 | return (string) (new Complex($complexNumber))->sec(); |
||
| 1979 | } |
||
| 1980 | |||
| 1981 | /** |
||
| 1982 | * IMSECH. |
||
| 1983 | * |
||
| 1984 | * Returns the hyperbolic secant of a complex number in x + yi or x + yj text format. |
||
| 1985 | * |
||
| 1986 | * Excel Function: |
||
| 1987 | * IMSECH(complexNumber) |
||
| 1988 | * |
||
| 1989 | * @param string $complexNumber the complex number for which you want the hyperbolic secant |
||
| 1990 | * |
||
| 1991 | * @return float|string |
||
| 1992 | */ |
||
| 1993 | public static function IMSECH($complexNumber) |
||
| 1994 | { |
||
| 1995 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 1996 | |||
| 1997 | return (string) (new Complex($complexNumber))->sech(); |
||
| 1998 | } |
||
| 1999 | |||
| 2000 | /** |
||
| 2001 | * IMTAN. |
||
| 2002 | * |
||
| 2003 | * Returns the tangent of a complex number in x + yi or x + yj text format. |
||
| 2004 | * |
||
| 2005 | * Excel Function: |
||
| 2006 | * IMTAN(complexNumber) |
||
| 2007 | * |
||
| 2008 | * @param string $complexNumber the complex number for which you want the tangent |
||
| 2009 | * |
||
| 2010 | * @return float|string |
||
| 2011 | */ |
||
| 2012 | public static function IMTAN($complexNumber) |
||
| 2013 | { |
||
| 2014 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 2015 | |||
| 2016 | return (string) (new Complex($complexNumber))->tan(); |
||
| 2017 | } |
||
| 2018 | |||
| 2019 | /** |
||
| 2020 | * IMSQRT. |
||
| 2021 | * |
||
| 2022 | * Returns the square root of a complex number in x + yi or x + yj text format. |
||
| 2023 | * |
||
| 2024 | * Excel Function: |
||
| 2025 | * IMSQRT(complexNumber) |
||
| 2026 | * |
||
| 2027 | * @param string $complexNumber the complex number for which you want the square root |
||
| 2028 | * |
||
| 2029 | * @return string |
||
| 2030 | */ |
||
| 2031 | public static function IMSQRT($complexNumber) |
||
| 2032 | { |
||
| 2033 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 2034 | |||
| 2035 | $theta = self::IMARGUMENT($complexNumber); |
||
| 2036 | if ($theta === Functions::DIV0()) { |
||
| 2037 | return '0'; |
||
| 2038 | } |
||
| 2039 | |||
| 2040 | return (string) (new Complex($complexNumber))->sqrt(); |
||
| 2041 | } |
||
| 2042 | |||
| 2043 | /** |
||
| 2044 | * IMLN. |
||
| 2045 | * |
||
| 2046 | * Returns the natural logarithm of a complex number in x + yi or x + yj text format. |
||
| 2047 | * |
||
| 2048 | * Excel Function: |
||
| 2049 | * IMLN(complexNumber) |
||
| 2050 | * |
||
| 2051 | * @param string $complexNumber the complex number for which you want the natural logarithm |
||
| 2052 | * |
||
| 2053 | * @return string |
||
| 2054 | */ |
||
| 2055 | public static function IMLN($complexNumber) |
||
| 2056 | { |
||
| 2057 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 2058 | |||
| 2059 | $complex = new Complex($complexNumber); |
||
| 2060 | if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) { |
||
| 2061 | return Functions::NAN(); |
||
| 2062 | } |
||
| 2063 | |||
| 2064 | return (string) (new Complex($complexNumber))->ln(); |
||
| 2065 | } |
||
| 2066 | |||
| 2067 | /** |
||
| 2068 | * IMLOG10. |
||
| 2069 | * |
||
| 2070 | * Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format. |
||
| 2071 | * |
||
| 2072 | * Excel Function: |
||
| 2073 | * IMLOG10(complexNumber) |
||
| 2074 | * |
||
| 2075 | * @param string $complexNumber the complex number for which you want the common logarithm |
||
| 2076 | * |
||
| 2077 | * @return string |
||
| 2078 | */ |
||
| 2079 | public static function IMLOG10($complexNumber) |
||
| 2080 | { |
||
| 2081 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 2082 | |||
| 2083 | $complex = new Complex($complexNumber); |
||
| 2084 | if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) { |
||
| 2085 | return Functions::NAN(); |
||
| 2086 | } |
||
| 2087 | |||
| 2088 | return (string) (new Complex($complexNumber))->log10(); |
||
| 2089 | } |
||
| 2090 | |||
| 2091 | /** |
||
| 2092 | * IMLOG2. |
||
| 2093 | * |
||
| 2094 | * Returns the base-2 logarithm of a complex number in x + yi or x + yj text format. |
||
| 2095 | * |
||
| 2096 | * Excel Function: |
||
| 2097 | * IMLOG2(complexNumber) |
||
| 2098 | * |
||
| 2099 | * @param string $complexNumber the complex number for which you want the base-2 logarithm |
||
| 2100 | * |
||
| 2101 | * @return string |
||
| 2102 | */ |
||
| 2103 | public static function IMLOG2($complexNumber) |
||
| 2104 | { |
||
| 2105 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 2106 | |||
| 2107 | $complex = new Complex($complexNumber); |
||
| 2108 | if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) { |
||
| 2109 | return Functions::NAN(); |
||
| 2110 | } |
||
| 2111 | |||
| 2112 | return (string) (new Complex($complexNumber))->log2(); |
||
| 2113 | } |
||
| 2114 | |||
| 2115 | /** |
||
| 2116 | * IMEXP. |
||
| 2117 | * |
||
| 2118 | * Returns the exponential of a complex number in x + yi or x + yj text format. |
||
| 2119 | * |
||
| 2120 | * Excel Function: |
||
| 2121 | * IMEXP(complexNumber) |
||
| 2122 | * |
||
| 2123 | * @param string $complexNumber the complex number for which you want the exponential |
||
| 2124 | * |
||
| 2125 | * @return string |
||
| 2126 | */ |
||
| 2127 | public static function IMEXP($complexNumber) |
||
| 2128 | { |
||
| 2129 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 2130 | |||
| 2131 | return (string) (new Complex($complexNumber))->exp(); |
||
| 2132 | } |
||
| 2133 | |||
| 2134 | /** |
||
| 2135 | * IMPOWER. |
||
| 2136 | * |
||
| 2137 | * Returns a complex number in x + yi or x + yj text format raised to a power. |
||
| 2138 | * |
||
| 2139 | * Excel Function: |
||
| 2140 | * IMPOWER(complexNumber,realNumber) |
||
| 2141 | * |
||
| 2142 | * @param string $complexNumber the complex number you want to raise to a power |
||
| 2143 | * @param float $realNumber the power to which you want to raise the complex number |
||
| 2144 | * |
||
| 2145 | * @return string |
||
| 2146 | */ |
||
| 2147 | public static function IMPOWER($complexNumber, $realNumber) |
||
| 2148 | { |
||
| 2149 | $complexNumber = Functions::flattenSingleValue($complexNumber); |
||
| 2150 | $realNumber = Functions::flattenSingleValue($realNumber); |
||
| 2151 | |||
| 2152 | if (!is_numeric($realNumber)) { |
||
| 2153 | return Functions::VALUE(); |
||
| 2154 | } |
||
| 2155 | |||
| 2156 | return (string) (new Complex($complexNumber))->pow($realNumber); |
||
| 2157 | } |
||
| 2158 | |||
| 2159 | /** |
||
| 2160 | * IMDIV. |
||
| 2161 | * |
||
| 2162 | * Returns the quotient of two complex numbers in x + yi or x + yj text format. |
||
| 2163 | * |
||
| 2164 | * Excel Function: |
||
| 2165 | * IMDIV(complexDividend,complexDivisor) |
||
| 2166 | * |
||
| 2167 | * @param string $complexDividend the complex numerator or dividend |
||
| 2168 | * @param string $complexDivisor the complex denominator or divisor |
||
| 2169 | * |
||
| 2170 | * @return string |
||
| 2171 | */ |
||
| 2172 | public static function IMDIV($complexDividend, $complexDivisor) |
||
| 2173 | { |
||
| 2174 | $complexDividend = Functions::flattenSingleValue($complexDividend); |
||
| 2175 | $complexDivisor = Functions::flattenSingleValue($complexDivisor); |
||
| 2176 | |||
| 2177 | try { |
||
| 2178 | return (string) (new Complex($complexDividend))->divideby(new Complex($complexDivisor)); |
||
| 2179 | } catch (ComplexException $e) { |
||
| 2180 | return Functions::NAN(); |
||
| 2181 | } |
||
| 2182 | } |
||
| 2183 | |||
| 2184 | /** |
||
| 2185 | * IMSUB. |
||
| 2186 | * |
||
| 2187 | * Returns the difference of two complex numbers in x + yi or x + yj text format. |
||
| 2188 | * |
||
| 2189 | * Excel Function: |
||
| 2190 | * IMSUB(complexNumber1,complexNumber2) |
||
| 2191 | * |
||
| 2192 | * @param string $complexNumber1 the complex number from which to subtract complexNumber2 |
||
| 2193 | * @param string $complexNumber2 the complex number to subtract from complexNumber1 |
||
| 2194 | * |
||
| 2195 | * @return string |
||
| 2196 | */ |
||
| 2197 | public static function IMSUB($complexNumber1, $complexNumber2) |
||
| 2198 | { |
||
| 2199 | $complexNumber1 = Functions::flattenSingleValue($complexNumber1); |
||
| 2200 | $complexNumber2 = Functions::flattenSingleValue($complexNumber2); |
||
| 2201 | |||
| 2202 | try { |
||
| 2203 | return (string) (new Complex($complexNumber1))->subtract(new Complex($complexNumber2)); |
||
| 2204 | } catch (ComplexException $e) { |
||
| 2205 | return Functions::NAN(); |
||
| 2206 | } |
||
| 2207 | } |
||
| 2208 | |||
| 2209 | /** |
||
| 2210 | * IMSUM. |
||
| 2211 | * |
||
| 2212 | * Returns the sum of two or more complex numbers in x + yi or x + yj text format. |
||
| 2213 | * |
||
| 2214 | * Excel Function: |
||
| 2215 | * IMSUM(complexNumber[,complexNumber[,...]]) |
||
| 2216 | * |
||
| 2217 | * @param string ...$complexNumbers Series of complex numbers to add |
||
| 2218 | * |
||
| 2219 | * @return string |
||
| 2220 | */ |
||
| 2221 | public static function IMSUM(...$complexNumbers) |
||
| 2222 | { |
||
| 2223 | // Return value |
||
| 2224 | $returnValue = new Complex(0.0); |
||
| 2225 | $aArgs = Functions::flattenArray($complexNumbers); |
||
| 2226 | |||
| 2227 | try { |
||
| 2228 | // Loop through the arguments |
||
| 2229 | foreach ($aArgs as $complex) { |
||
| 2230 | $returnValue = $returnValue->add(new Complex($complex)); |
||
| 2231 | } |
||
| 2232 | } catch (ComplexException $e) { |
||
| 2233 | return Functions::NAN(); |
||
| 2234 | } |
||
| 2235 | |||
| 2236 | return (string) $returnValue; |
||
| 2237 | } |
||
| 2238 | |||
| 2239 | /** |
||
| 2240 | * IMPRODUCT. |
||
| 2241 | * |
||
| 2242 | * Returns the product of two or more complex numbers in x + yi or x + yj text format. |
||
| 2243 | * |
||
| 2244 | * Excel Function: |
||
| 2245 | * IMPRODUCT(complexNumber[,complexNumber[,...]]) |
||
| 2246 | * |
||
| 2247 | * @param string ...$complexNumbers Series of complex numbers to multiply |
||
| 2248 | * |
||
| 2249 | * @return string |
||
| 2250 | */ |
||
| 2251 | public static function IMPRODUCT(...$complexNumbers) |
||
| 2252 | { |
||
| 2253 | // Return value |
||
| 2254 | $returnValue = new Complex(1.0); |
||
| 2255 | $aArgs = Functions::flattenArray($complexNumbers); |
||
| 2256 | |||
| 2257 | try { |
||
| 2258 | // Loop through the arguments |
||
| 2259 | foreach ($aArgs as $complex) { |
||
| 2260 | $returnValue = $returnValue->multiply(new Complex($complex)); |
||
| 2261 | } |
||
| 2262 | } catch (ComplexException $e) { |
||
| 2263 | return Functions::NAN(); |
||
| 2264 | } |
||
| 2265 | |||
| 2266 | return (string) $returnValue; |
||
| 2267 | } |
||
| 2268 | |||
| 2269 | /** |
||
| 2270 | * DELTA. |
||
| 2271 | * |
||
| 2272 | * Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise. |
||
| 2273 | * Use this function to filter a set of values. For example, by summing several DELTA |
||
| 2274 | * functions you calculate the count of equal pairs. This function is also known as the |
||
| 2275 | * Kronecker Delta function. |
||
| 2276 | * |
||
| 2277 | * Excel Function: |
||
| 2278 | * DELTA(a[,b]) |
||
| 2279 | * |
||
| 2280 | * @param float $a the first number |
||
| 2281 | * @param float $b The second number. If omitted, b is assumed to be zero. |
||
| 2282 | * |
||
| 2283 | * @return int |
||
| 2284 | */ |
||
| 2285 | public static function DELTA($a, $b = 0) |
||
| 2286 | { |
||
| 2287 | $a = Functions::flattenSingleValue($a); |
||
| 2288 | $b = Functions::flattenSingleValue($b); |
||
| 2289 | |||
| 2290 | return (int) ($a == $b); |
||
| 2291 | } |
||
| 2292 | |||
| 2293 | /** |
||
| 2294 | * GESTEP. |
||
| 2295 | * |
||
| 2296 | * Excel Function: |
||
| 2297 | * GESTEP(number[,step]) |
||
| 2298 | * |
||
| 2299 | * Returns 1 if number >= step; returns 0 (zero) otherwise |
||
| 2300 | * Use this function to filter a set of values. For example, by summing several GESTEP |
||
| 2301 | * functions you calculate the count of values that exceed a threshold. |
||
| 2302 | * |
||
| 2303 | * @param float $number the value to test against step |
||
| 2304 | * @param float $step The threshold value. |
||
| 2305 | * If you omit a value for step, GESTEP uses zero. |
||
| 2306 | * |
||
| 2307 | * @return int |
||
| 2308 | */ |
||
| 2309 | public static function GESTEP($number, $step = 0) |
||
| 2310 | { |
||
| 2311 | $number = Functions::flattenSingleValue($number); |
||
| 2312 | $step = Functions::flattenSingleValue($step); |
||
| 2313 | |||
| 2314 | return (int) ($number >= $step); |
||
| 2315 | } |
||
| 2316 | |||
| 2317 | // |
||
| 2318 | // Private method to calculate the erf value |
||
| 2319 | // |
||
| 2320 | private static $twoSqrtPi = 1.128379167095512574; |
||
| 2321 | |||
| 2322 | public static function erfVal($x) |
||
| 2323 | { |
||
| 2324 | if (abs($x) > 2.2) { |
||
| 2325 | return 1 - self::erfcVal($x); |
||
| 2326 | } |
||
| 2327 | $sum = $term = $x; |
||
| 2328 | $xsqr = ($x * $x); |
||
| 2329 | $j = 1; |
||
| 2330 | do { |
||
| 2331 | $term *= $xsqr / $j; |
||
| 2332 | $sum -= $term / (2 * $j + 1); |
||
| 2333 | ++$j; |
||
| 2334 | $term *= $xsqr / $j; |
||
| 2335 | $sum += $term / (2 * $j + 1); |
||
| 2336 | ++$j; |
||
| 2337 | if ($sum == 0.0) { |
||
| 2338 | break; |
||
| 2339 | } |
||
| 2340 | } while (abs($term / $sum) > Functions::PRECISION); |
||
| 2341 | |||
| 2342 | return self::$twoSqrtPi * $sum; |
||
| 2343 | } |
||
| 2344 | |||
| 2345 | /** |
||
| 2346 | * Validate arguments passed to the bitwise functions. |
||
| 2347 | * |
||
| 2348 | * @param mixed $value |
||
| 2349 | * |
||
| 2350 | * @throws Exception |
||
| 2351 | * |
||
| 2352 | * @return int |
||
| 2353 | */ |
||
| 2354 | private static function validateBitwiseArgument($value) |
||
| 2355 | { |
||
| 2356 | $value = Functions::flattenSingleValue($value); |
||
| 2357 | |||
| 2358 | if (is_int($value)) { |
||
| 2359 | return $value; |
||
| 2360 | } elseif (is_numeric($value)) { |
||
| 2361 | if ($value == (int) ($value)) { |
||
| 2362 | $value = (int) ($value); |
||
| 2363 | if (($value > pow(2, 48) - 1) || ($value < 0)) { |
||
| 2364 | throw new Exception(Functions::NAN()); |
||
| 2365 | } |
||
| 2366 | |||
| 2367 | return $value; |
||
| 2368 | } |
||
| 2369 | |||
| 2370 | throw new Exception(Functions::NAN()); |
||
| 2371 | } |
||
| 2372 | |||
| 2373 | throw new Exception(Functions::VALUE()); |
||
| 2374 | } |
||
| 2375 | |||
| 2376 | /** |
||
| 2377 | * BITAND. |
||
| 2378 | * |
||
| 2379 | * Returns the bitwise AND of two integer values. |
||
| 2380 | * |
||
| 2381 | * Excel Function: |
||
| 2382 | * BITAND(number1, number2) |
||
| 2383 | * |
||
| 2384 | * @category Engineering Functions |
||
| 2385 | * |
||
| 2386 | * @param int $number1 |
||
| 2387 | * @param int $number2 |
||
| 2388 | * |
||
| 2389 | * @return int|string |
||
| 2390 | */ |
||
| 2391 | public static function BITAND($number1, $number2) |
||
| 2392 | { |
||
| 2393 | try { |
||
| 2394 | $number1 = self::validateBitwiseArgument($number1); |
||
| 2395 | $number2 = self::validateBitwiseArgument($number2); |
||
| 2396 | } catch (Exception $e) { |
||
| 2397 | return $e->getMessage(); |
||
| 2398 | } |
||
| 2399 | |||
| 2400 | return $number1 & $number2; |
||
| 2401 | } |
||
| 2402 | |||
| 2403 | /** |
||
| 2404 | * BITOR. |
||
| 2405 | * |
||
| 2406 | * Returns the bitwise OR of two integer values. |
||
| 2407 | * |
||
| 2408 | * Excel Function: |
||
| 2409 | * BITOR(number1, number2) |
||
| 2410 | * |
||
| 2411 | * @category Engineering Functions |
||
| 2412 | * |
||
| 2413 | * @param int $number1 |
||
| 2414 | * @param int $number2 |
||
| 2415 | * |
||
| 2416 | * @return int|string |
||
| 2417 | */ |
||
| 2418 | public static function BITOR($number1, $number2) |
||
| 2419 | { |
||
| 2420 | try { |
||
| 2421 | $number1 = self::validateBitwiseArgument($number1); |
||
| 2422 | $number2 = self::validateBitwiseArgument($number2); |
||
| 2423 | } catch (Exception $e) { |
||
| 2424 | return $e->getMessage(); |
||
| 2425 | } |
||
| 2426 | |||
| 2427 | return $number1 | $number2; |
||
| 2428 | } |
||
| 2429 | |||
| 2430 | /** |
||
| 2431 | * BITXOR. |
||
| 2432 | * |
||
| 2433 | * Returns the bitwise XOR of two integer values. |
||
| 2434 | * |
||
| 2435 | * Excel Function: |
||
| 2436 | * BITXOR(number1, number2) |
||
| 2437 | * |
||
| 2438 | * @category Engineering Functions |
||
| 2439 | * |
||
| 2440 | * @param int $number1 |
||
| 2441 | * @param int $number2 |
||
| 2442 | * |
||
| 2443 | * @return int|string |
||
| 2444 | */ |
||
| 2445 | public static function BITXOR($number1, $number2) |
||
| 2446 | { |
||
| 2447 | try { |
||
| 2448 | $number1 = self::validateBitwiseArgument($number1); |
||
| 2449 | $number2 = self::validateBitwiseArgument($number2); |
||
| 2450 | } catch (Exception $e) { |
||
| 2451 | return $e->getMessage(); |
||
| 2452 | } |
||
| 2453 | |||
| 2454 | return $number1 ^ $number2; |
||
| 2455 | } |
||
| 2456 | |||
| 2457 | /** |
||
| 2458 | * BITLSHIFT. |
||
| 2459 | * |
||
| 2460 | * Returns the number value shifted left by shift_amount bits. |
||
| 2461 | * |
||
| 2462 | * Excel Function: |
||
| 2463 | * BITLSHIFT(number, shift_amount) |
||
| 2464 | * |
||
| 2465 | * @category Engineering Functions |
||
| 2466 | * |
||
| 2467 | * @param int $number |
||
| 2468 | * @param int $shiftAmount |
||
| 2469 | * |
||
| 2470 | * @return int|string |
||
| 2471 | */ |
||
| 2472 | public static function BITLSHIFT($number, $shiftAmount) |
||
| 2473 | { |
||
| 2474 | try { |
||
| 2475 | $number = self::validateBitwiseArgument($number); |
||
| 2476 | } catch (Exception $e) { |
||
| 2477 | return $e->getMessage(); |
||
| 2478 | } |
||
| 2479 | |||
| 2480 | $shiftAmount = Functions::flattenSingleValue($shiftAmount); |
||
| 2481 | |||
| 2482 | $result = $number << $shiftAmount; |
||
| 2483 | if ($result > pow(2, 48) - 1) { |
||
| 2484 | return Functions::NAN(); |
||
| 2485 | } |
||
| 2486 | |||
| 2487 | return $result; |
||
| 2488 | } |
||
| 2489 | |||
| 2490 | /** |
||
| 2491 | * BITRSHIFT. |
||
| 2492 | * |
||
| 2493 | * Returns the number value shifted right by shift_amount bits. |
||
| 2494 | * |
||
| 2495 | * Excel Function: |
||
| 2496 | * BITRSHIFT(number, shift_amount) |
||
| 2497 | * |
||
| 2498 | * @category Engineering Functions |
||
| 2499 | * |
||
| 2500 | * @param int $number |
||
| 2501 | * @param int $shiftAmount |
||
| 2502 | * |
||
| 2503 | * @return int|string |
||
| 2504 | */ |
||
| 2505 | public static function BITRSHIFT($number, $shiftAmount) |
||
| 2506 | { |
||
| 2507 | try { |
||
| 2508 | $number = self::validateBitwiseArgument($number); |
||
| 2509 | } catch (Exception $e) { |
||
| 2510 | return $e->getMessage(); |
||
| 2511 | } |
||
| 2512 | |||
| 2513 | $shiftAmount = Functions::flattenSingleValue($shiftAmount); |
||
| 2514 | |||
| 2515 | return $number >> $shiftAmount; |
||
| 2516 | } |
||
| 2517 | |||
| 2518 | /** |
||
| 2519 | * ERF. |
||
| 2520 | * |
||
| 2521 | * Returns the error function integrated between the lower and upper bound arguments. |
||
| 2522 | * |
||
| 2523 | * Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments, |
||
| 2524 | * the function would return a #NUM! error. However, in Excel 2010, the function algorithm was |
||
| 2525 | * improved, so that it can now calculate the function for both positive and negative ranges. |
||
| 2526 | * PhpSpreadsheet follows Excel 2010 behaviour, and accepts negative arguments. |
||
| 2527 | * |
||
| 2528 | * Excel Function: |
||
| 2529 | * ERF(lower[,upper]) |
||
| 2530 | * |
||
| 2531 | * @param float $lower lower bound for integrating ERF |
||
| 2532 | * @param float $upper upper bound for integrating ERF. |
||
| 2533 | * If omitted, ERF integrates between zero and lower_limit |
||
| 2534 | * |
||
| 2535 | * @return float|string |
||
| 2536 | */ |
||
| 2537 | public static function ERF($lower, $upper = null) |
||
| 2538 | { |
||
| 2539 | $lower = Functions::flattenSingleValue($lower); |
||
| 2540 | $upper = Functions::flattenSingleValue($upper); |
||
| 2541 | |||
| 2542 | if (is_numeric($lower)) { |
||
| 2543 | if ($upper === null) { |
||
| 2544 | return self::erfVal($lower); |
||
| 2545 | } |
||
| 2546 | if (is_numeric($upper)) { |
||
| 2547 | return self::erfVal($upper) - self::erfVal($lower); |
||
| 2548 | } |
||
| 2549 | } |
||
| 2550 | |||
| 2551 | return Functions::VALUE(); |
||
| 2552 | } |
||
| 2553 | |||
| 2554 | /** |
||
| 2555 | * ERFPRECISE. |
||
| 2556 | * |
||
| 2557 | * Returns the error function integrated between the lower and upper bound arguments. |
||
| 2558 | * |
||
| 2559 | * Excel Function: |
||
| 2560 | * ERF.PRECISE(limit) |
||
| 2561 | * |
||
| 2562 | * @param float $limit bound for integrating ERF |
||
| 2563 | * |
||
| 2564 | * @return float|string |
||
| 2565 | */ |
||
| 2566 | public static function ERFPRECISE($limit) |
||
| 2567 | { |
||
| 2568 | $limit = Functions::flattenSingleValue($limit); |
||
| 2569 | |||
| 2570 | return self::ERF($limit); |
||
| 2571 | } |
||
| 2572 | |||
| 2573 | // |
||
| 2574 | // Private method to calculate the erfc value |
||
| 2575 | // |
||
| 2576 | private static $oneSqrtPi = 0.564189583547756287; |
||
| 2577 | |||
| 2578 | private static function erfcVal($x) |
||
| 2579 | { |
||
| 2580 | if (abs($x) < 2.2) { |
||
| 2581 | return 1 - self::erfVal($x); |
||
| 2582 | } |
||
| 2583 | if ($x < 0) { |
||
| 2584 | return 2 - self::ERFC(-$x); |
||
| 2585 | } |
||
| 2586 | $a = $n = 1; |
||
| 2587 | $b = $c = $x; |
||
| 2588 | $d = ($x * $x) + 0.5; |
||
| 2589 | $q1 = $q2 = $b / $d; |
||
| 2590 | $t = 0; |
||
| 2591 | do { |
||
| 2592 | $t = $a * $n + $b * $x; |
||
| 2593 | $a = $b; |
||
| 2594 | $b = $t; |
||
| 2595 | $t = $c * $n + $d * $x; |
||
| 2596 | $c = $d; |
||
| 2597 | $d = $t; |
||
| 2598 | $n += 0.5; |
||
| 2599 | $q1 = $q2; |
||
| 2600 | $q2 = $b / $d; |
||
| 2601 | } while ((abs($q1 - $q2) / $q2) > Functions::PRECISION); |
||
| 2602 | |||
| 2603 | return self::$oneSqrtPi * exp(-$x * $x) * $q2; |
||
| 2604 | } |
||
| 2605 | |||
| 2606 | /** |
||
| 2607 | * ERFC. |
||
| 2608 | * |
||
| 2609 | * Returns the complementary ERF function integrated between x and infinity |
||
| 2610 | * |
||
| 2611 | * Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument, |
||
| 2612 | * the function would return a #NUM! error. However, in Excel 2010, the function algorithm was |
||
| 2613 | * improved, so that it can now calculate the function for both positive and negative x values. |
||
| 2614 | * PhpSpreadsheet follows Excel 2010 behaviour, and accepts nagative arguments. |
||
| 2615 | * |
||
| 2616 | * Excel Function: |
||
| 2617 | * ERFC(x) |
||
| 2618 | * |
||
| 2619 | * @param float $x The lower bound for integrating ERFC |
||
| 2620 | * |
||
| 2621 | * @return float|string |
||
| 2622 | */ |
||
| 2623 | public static function ERFC($x) |
||
| 2624 | { |
||
| 2625 | $x = Functions::flattenSingleValue($x); |
||
| 2626 | |||
| 2627 | if (is_numeric($x)) { |
||
| 2628 | return self::erfcVal($x); |
||
| 2629 | } |
||
| 2630 | |||
| 2631 | return Functions::VALUE(); |
||
| 2632 | } |
||
| 2633 | |||
| 2634 | /** |
||
| 2635 | * getConversionGroups |
||
| 2636 | * Returns a list of the different conversion groups for UOM conversions. |
||
| 2637 | * |
||
| 2638 | * @return array |
||
| 2639 | */ |
||
| 2640 | public static function getConversionGroups() |
||
| 2641 | { |
||
| 2642 | $conversionGroups = []; |
||
| 2643 | foreach (self::$conversionUnits as $conversionUnit) { |
||
| 2644 | $conversionGroups[] = $conversionUnit['Group']; |
||
| 2645 | } |
||
| 2646 | |||
| 2647 | return array_merge(array_unique($conversionGroups)); |
||
| 2648 | } |
||
| 2649 | |||
| 2650 | /** |
||
| 2651 | * getConversionGroupUnits |
||
| 2652 | * Returns an array of units of measure, for a specified conversion group, or for all groups. |
||
| 2653 | * |
||
| 2654 | * @param string $group The group whose units of measure you want to retrieve |
||
| 2655 | * |
||
| 2656 | * @return array |
||
| 2657 | */ |
||
| 2658 | public static function getConversionGroupUnits($group = null) |
||
| 2659 | { |
||
| 2660 | $conversionGroups = []; |
||
| 2661 | foreach (self::$conversionUnits as $conversionUnit => $conversionGroup) { |
||
| 2662 | if (($group === null) || ($conversionGroup['Group'] == $group)) { |
||
| 2663 | $conversionGroups[$conversionGroup['Group']][] = $conversionUnit; |
||
| 2664 | } |
||
| 2665 | } |
||
| 2666 | |||
| 2667 | return $conversionGroups; |
||
| 2668 | } |
||
| 2669 | |||
| 2670 | /** |
||
| 2671 | * getConversionGroupUnitDetails. |
||
| 2672 | * |
||
| 2673 | * @param string $group The group whose units of measure you want to retrieve |
||
| 2674 | * |
||
| 2675 | * @return array |
||
| 2676 | */ |
||
| 2677 | public static function getConversionGroupUnitDetails($group = null) |
||
| 2678 | { |
||
| 2679 | $conversionGroups = []; |
||
| 2680 | foreach (self::$conversionUnits as $conversionUnit => $conversionGroup) { |
||
| 2681 | if (($group === null) || ($conversionGroup['Group'] == $group)) { |
||
| 2682 | $conversionGroups[$conversionGroup['Group']][] = [ |
||
| 2683 | 'unit' => $conversionUnit, |
||
| 2684 | 'description' => $conversionGroup['Unit Name'], |
||
| 2685 | ]; |
||
| 2686 | } |
||
| 2687 | } |
||
| 2688 | |||
| 2689 | return $conversionGroups; |
||
| 2690 | } |
||
| 2691 | |||
| 2692 | /** |
||
| 2693 | * getConversionMultipliers |
||
| 2694 | * Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM(). |
||
| 2695 | * |
||
| 2696 | * @return array of mixed |
||
| 2697 | */ |
||
| 2698 | public static function getConversionMultipliers() |
||
| 2699 | { |
||
| 2700 | return self::$conversionMultipliers; |
||
| 2701 | } |
||
| 2702 | |||
| 2703 | /** |
||
| 2704 | * CONVERTUOM. |
||
| 2705 | * |
||
| 2706 | * Converts a number from one measurement system to another. |
||
| 2707 | * For example, CONVERT can translate a table of distances in miles to a table of distances |
||
| 2708 | * in kilometers. |
||
| 2709 | * |
||
| 2710 | * Excel Function: |
||
| 2711 | * CONVERT(value,fromUOM,toUOM) |
||
| 2712 | * |
||
| 2713 | * @param float $value the value in fromUOM to convert |
||
| 2714 | * @param string $fromUOM the units for value |
||
| 2715 | * @param string $toUOM the units for the result |
||
| 2716 | * |
||
| 2717 | * @return float|string |
||
| 2718 | */ |
||
| 2719 | public static function CONVERTUOM($value, $fromUOM, $toUOM) |
||
| 2720 | { |
||
| 2721 | $value = Functions::flattenSingleValue($value); |
||
| 2722 | $fromUOM = Functions::flattenSingleValue($fromUOM); |
||
| 2723 | $toUOM = Functions::flattenSingleValue($toUOM); |
||
| 2724 | |||
| 2725 | if (!is_numeric($value)) { |
||
| 2726 | return Functions::VALUE(); |
||
| 2727 | } |
||
| 2728 | $fromMultiplier = 1.0; |
||
| 2729 | if (isset(self::$conversionUnits[$fromUOM])) { |
||
| 2730 | $unitGroup1 = self::$conversionUnits[$fromUOM]['Group']; |
||
| 2731 | } else { |
||
| 2732 | $fromMultiplier = substr($fromUOM, 0, 1); |
||
| 2733 | $fromUOM = substr($fromUOM, 1); |
||
| 2734 | if (isset(self::$conversionMultipliers[$fromMultiplier])) { |
||
| 2735 | $fromMultiplier = self::$conversionMultipliers[$fromMultiplier]['multiplier']; |
||
| 2736 | } else { |
||
| 2737 | return Functions::NA(); |
||
| 2738 | } |
||
| 2739 | if ((isset(self::$conversionUnits[$fromUOM])) && (self::$conversionUnits[$fromUOM]['AllowPrefix'])) { |
||
| 2740 | $unitGroup1 = self::$conversionUnits[$fromUOM]['Group']; |
||
| 2741 | } else { |
||
| 2742 | return Functions::NA(); |
||
| 2743 | } |
||
| 2744 | } |
||
| 2745 | $value *= $fromMultiplier; |
||
| 2746 | |||
| 2747 | $toMultiplier = 1.0; |
||
| 2748 | if (isset(self::$conversionUnits[$toUOM])) { |
||
| 2749 | $unitGroup2 = self::$conversionUnits[$toUOM]['Group']; |
||
| 2750 | } else { |
||
| 2751 | $toMultiplier = substr($toUOM, 0, 1); |
||
| 2752 | $toUOM = substr($toUOM, 1); |
||
| 2753 | if (isset(self::$conversionMultipliers[$toMultiplier])) { |
||
| 2754 | $toMultiplier = self::$conversionMultipliers[$toMultiplier]['multiplier']; |
||
| 2755 | } else { |
||
| 2756 | return Functions::NA(); |
||
| 2757 | } |
||
| 2758 | if ((isset(self::$conversionUnits[$toUOM])) && (self::$conversionUnits[$toUOM]['AllowPrefix'])) { |
||
| 2759 | $unitGroup2 = self::$conversionUnits[$toUOM]['Group']; |
||
| 2760 | } else { |
||
| 2761 | return Functions::NA(); |
||
| 2762 | } |
||
| 2763 | } |
||
| 2764 | if ($unitGroup1 != $unitGroup2) { |
||
| 2765 | return Functions::NA(); |
||
| 2766 | } |
||
| 2767 | |||
| 2768 | if (($fromUOM == $toUOM) && ($fromMultiplier == $toMultiplier)) { |
||
| 2769 | // We've already factored $fromMultiplier into the value, so we need |
||
| 2770 | // to reverse it again |
||
| 2771 | return $value / $fromMultiplier; |
||
| 2772 | } elseif ($unitGroup1 == 'Temperature') { |
||
| 2773 | if (($fromUOM == 'F') || ($fromUOM == 'fah')) { |
||
| 2774 | if (($toUOM == 'F') || ($toUOM == 'fah')) { |
||
| 2775 | return $value; |
||
| 2776 | } |
||
| 2777 | $value = (($value - 32) / 1.8); |
||
| 2778 | if (($toUOM == 'K') || ($toUOM == 'kel')) { |
||
| 2779 | $value += 273.15; |
||
| 2780 | } |
||
| 2781 | |||
| 2782 | return $value; |
||
| 2783 | } elseif ( |
||
| 2784 | (($fromUOM == 'K') || ($fromUOM == 'kel')) && |
||
| 2785 | (($toUOM == 'K') || ($toUOM == 'kel')) |
||
| 2786 | ) { |
||
| 2787 | return $value; |
||
| 2788 | } elseif ( |
||
| 2789 | (($fromUOM == 'C') || ($fromUOM == 'cel')) && |
||
| 2790 | (($toUOM == 'C') || ($toUOM == 'cel')) |
||
| 2791 | ) { |
||
| 2792 | return $value; |
||
| 2793 | } |
||
| 2794 | if (($toUOM == 'F') || ($toUOM == 'fah')) { |
||
| 2795 | if (($fromUOM == 'K') || ($fromUOM == 'kel')) { |
||
| 2796 | $value -= 273.15; |
||
| 2797 | } |
||
| 2798 | |||
| 2799 | return ($value * 1.8) + 32; |
||
| 2800 | } |
||
| 2801 | if (($toUOM == 'C') || ($toUOM == 'cel')) { |
||
| 2802 | return $value - 273.15; |
||
| 2803 | } |
||
| 2804 | |||
| 2805 | return $value + 273.15; |
||
| 2806 | } |
||
| 2807 | |||
| 2808 | return ($value * self::$unitConversions[$unitGroup1][$fromUOM][$toUOM]) / $toMultiplier; |
||
| 2809 | } |
||
| 2811 |
