diff options
Diffstat (limited to '')
| -rw-r--r-- | vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/Engineering.php | 2760 |
1 files changed, 2760 insertions, 0 deletions
diff --git a/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/Engineering.php b/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/Engineering.php new file mode 100644 index 0000000..8bcf782 --- /dev/null +++ b/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Calculation/Engineering.php @@ -0,0 +1,2760 @@ +<?php
+
+namespace PhpOffice\PhpSpreadsheet\Calculation;
+
+use Complex\Complex;
+use Complex\Exception as ComplexException;
+
+class Engineering
+{
+ /**
+ * EULER.
+ */
+ const EULER = 2.71828182845904523536;
+
+ /**
+ * Details of the Units of measure that can be used in CONVERTUOM().
+ *
+ * @var mixed[]
+ */
+ private static $conversionUnits = [
+ 'g' => ['Group' => 'Mass', 'Unit Name' => 'Gram', 'AllowPrefix' => true],
+ 'sg' => ['Group' => 'Mass', 'Unit Name' => 'Slug', 'AllowPrefix' => false],
+ 'lbm' => ['Group' => 'Mass', 'Unit Name' => 'Pound mass (avoirdupois)', 'AllowPrefix' => false],
+ 'u' => ['Group' => 'Mass', 'Unit Name' => 'U (atomic mass unit)', 'AllowPrefix' => true],
+ 'ozm' => ['Group' => 'Mass', 'Unit Name' => 'Ounce mass (avoirdupois)', 'AllowPrefix' => false],
+ 'm' => ['Group' => 'Distance', 'Unit Name' => 'Meter', 'AllowPrefix' => true],
+ 'mi' => ['Group' => 'Distance', 'Unit Name' => 'Statute mile', 'AllowPrefix' => false],
+ 'Nmi' => ['Group' => 'Distance', 'Unit Name' => 'Nautical mile', 'AllowPrefix' => false],
+ 'in' => ['Group' => 'Distance', 'Unit Name' => 'Inch', 'AllowPrefix' => false],
+ 'ft' => ['Group' => 'Distance', 'Unit Name' => 'Foot', 'AllowPrefix' => false],
+ 'yd' => ['Group' => 'Distance', 'Unit Name' => 'Yard', 'AllowPrefix' => false],
+ 'ang' => ['Group' => 'Distance', 'Unit Name' => 'Angstrom', 'AllowPrefix' => true],
+ 'Pica' => ['Group' => 'Distance', 'Unit Name' => 'Pica (1/72 in)', 'AllowPrefix' => false],
+ 'yr' => ['Group' => 'Time', 'Unit Name' => 'Year', 'AllowPrefix' => false],
+ 'day' => ['Group' => 'Time', 'Unit Name' => 'Day', 'AllowPrefix' => false],
+ 'hr' => ['Group' => 'Time', 'Unit Name' => 'Hour', 'AllowPrefix' => false],
+ 'mn' => ['Group' => 'Time', 'Unit Name' => 'Minute', 'AllowPrefix' => false],
+ 'sec' => ['Group' => 'Time', 'Unit Name' => 'Second', 'AllowPrefix' => true],
+ 'Pa' => ['Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => true],
+ 'p' => ['Group' => 'Pressure', 'Unit Name' => 'Pascal', 'AllowPrefix' => true],
+ 'atm' => ['Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => true],
+ 'at' => ['Group' => 'Pressure', 'Unit Name' => 'Atmosphere', 'AllowPrefix' => true],
+ 'mmHg' => ['Group' => 'Pressure', 'Unit Name' => 'mm of Mercury', 'AllowPrefix' => true],
+ 'N' => ['Group' => 'Force', 'Unit Name' => 'Newton', 'AllowPrefix' => true],
+ 'dyn' => ['Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => true],
+ 'dy' => ['Group' => 'Force', 'Unit Name' => 'Dyne', 'AllowPrefix' => true],
+ 'lbf' => ['Group' => 'Force', 'Unit Name' => 'Pound force', 'AllowPrefix' => false],
+ 'J' => ['Group' => 'Energy', 'Unit Name' => 'Joule', 'AllowPrefix' => true],
+ 'e' => ['Group' => 'Energy', 'Unit Name' => 'Erg', 'AllowPrefix' => true],
+ 'c' => ['Group' => 'Energy', 'Unit Name' => 'Thermodynamic calorie', 'AllowPrefix' => true],
+ 'cal' => ['Group' => 'Energy', 'Unit Name' => 'IT calorie', 'AllowPrefix' => true],
+ 'eV' => ['Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => true],
+ 'ev' => ['Group' => 'Energy', 'Unit Name' => 'Electron volt', 'AllowPrefix' => true],
+ 'HPh' => ['Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => false],
+ 'hh' => ['Group' => 'Energy', 'Unit Name' => 'Horsepower-hour', 'AllowPrefix' => false],
+ 'Wh' => ['Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => true],
+ 'wh' => ['Group' => 'Energy', 'Unit Name' => 'Watt-hour', 'AllowPrefix' => true],
+ 'flb' => ['Group' => 'Energy', 'Unit Name' => 'Foot-pound', 'AllowPrefix' => false],
+ 'BTU' => ['Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => false],
+ 'btu' => ['Group' => 'Energy', 'Unit Name' => 'BTU', 'AllowPrefix' => false],
+ 'HP' => ['Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => false],
+ 'h' => ['Group' => 'Power', 'Unit Name' => 'Horsepower', 'AllowPrefix' => false],
+ 'W' => ['Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => true],
+ 'w' => ['Group' => 'Power', 'Unit Name' => 'Watt', 'AllowPrefix' => true],
+ 'T' => ['Group' => 'Magnetism', 'Unit Name' => 'Tesla', 'AllowPrefix' => true],
+ 'ga' => ['Group' => 'Magnetism', 'Unit Name' => 'Gauss', 'AllowPrefix' => true],
+ 'C' => ['Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => false],
+ 'cel' => ['Group' => 'Temperature', 'Unit Name' => 'Celsius', 'AllowPrefix' => false],
+ 'F' => ['Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => false],
+ 'fah' => ['Group' => 'Temperature', 'Unit Name' => 'Fahrenheit', 'AllowPrefix' => false],
+ 'K' => ['Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => false],
+ 'kel' => ['Group' => 'Temperature', 'Unit Name' => 'Kelvin', 'AllowPrefix' => false],
+ 'tsp' => ['Group' => 'Liquid', 'Unit Name' => 'Teaspoon', 'AllowPrefix' => false],
+ 'tbs' => ['Group' => 'Liquid', 'Unit Name' => 'Tablespoon', 'AllowPrefix' => false],
+ 'oz' => ['Group' => 'Liquid', 'Unit Name' => 'Fluid Ounce', 'AllowPrefix' => false],
+ 'cup' => ['Group' => 'Liquid', 'Unit Name' => 'Cup', 'AllowPrefix' => false],
+ 'pt' => ['Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => false],
+ 'us_pt' => ['Group' => 'Liquid', 'Unit Name' => 'U.S. Pint', 'AllowPrefix' => false],
+ 'uk_pt' => ['Group' => 'Liquid', 'Unit Name' => 'U.K. Pint', 'AllowPrefix' => false],
+ 'qt' => ['Group' => 'Liquid', 'Unit Name' => 'Quart', 'AllowPrefix' => false],
+ 'gal' => ['Group' => 'Liquid', 'Unit Name' => 'Gallon', 'AllowPrefix' => false],
+ 'l' => ['Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => true],
+ 'lt' => ['Group' => 'Liquid', 'Unit Name' => 'Litre', 'AllowPrefix' => true],
+ ];
+
+ /**
+ * Details of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM().
+ *
+ * @var mixed[]
+ */
+ private static $conversionMultipliers = [
+ 'Y' => ['multiplier' => 1E24, 'name' => 'yotta'],
+ 'Z' => ['multiplier' => 1E21, 'name' => 'zetta'],
+ 'E' => ['multiplier' => 1E18, 'name' => 'exa'],
+ 'P' => ['multiplier' => 1E15, 'name' => 'peta'],
+ 'T' => ['multiplier' => 1E12, 'name' => 'tera'],
+ 'G' => ['multiplier' => 1E9, 'name' => 'giga'],
+ 'M' => ['multiplier' => 1E6, 'name' => 'mega'],
+ 'k' => ['multiplier' => 1E3, 'name' => 'kilo'],
+ 'h' => ['multiplier' => 1E2, 'name' => 'hecto'],
+ 'e' => ['multiplier' => 1E1, 'name' => 'deka'],
+ 'd' => ['multiplier' => 1E-1, 'name' => 'deci'],
+ 'c' => ['multiplier' => 1E-2, 'name' => 'centi'],
+ 'm' => ['multiplier' => 1E-3, 'name' => 'milli'],
+ 'u' => ['multiplier' => 1E-6, 'name' => 'micro'],
+ 'n' => ['multiplier' => 1E-9, 'name' => 'nano'],
+ 'p' => ['multiplier' => 1E-12, 'name' => 'pico'],
+ 'f' => ['multiplier' => 1E-15, 'name' => 'femto'],
+ 'a' => ['multiplier' => 1E-18, 'name' => 'atto'],
+ 'z' => ['multiplier' => 1E-21, 'name' => 'zepto'],
+ 'y' => ['multiplier' => 1E-24, 'name' => 'yocto'],
+ ];
+
+ /**
+ * Details of the Units of measure conversion factors, organised by group.
+ *
+ * @var mixed[]
+ */
+ private static $unitConversions = [
+ 'Mass' => [
+ 'g' => [
+ 'g' => 1.0,
+ 'sg' => 6.85220500053478E-05,
+ 'lbm' => 2.20462291469134E-03,
+ 'u' => 6.02217000000000E+23,
+ 'ozm' => 3.52739718003627E-02,
+ ],
+ 'sg' => [
+ 'g' => 1.45938424189287E+04,
+ 'sg' => 1.0,
+ 'lbm' => 3.21739194101647E+01,
+ 'u' => 8.78866000000000E+27,
+ 'ozm' => 5.14782785944229E+02,
+ ],
+ 'lbm' => [
+ 'g' => 4.5359230974881148E+02,
+ 'sg' => 3.10810749306493E-02,
+ 'lbm' => 1.0,
+ 'u' => 2.73161000000000E+26,
+ 'ozm' => 1.60000023429410E+01,
+ ],
+ 'u' => [
+ 'g' => 1.66053100460465E-24,
+ 'sg' => 1.13782988532950E-28,
+ 'lbm' => 3.66084470330684E-27,
+ 'u' => 1.0,
+ 'ozm' => 5.85735238300524E-26,
+ ],
+ 'ozm' => [
+ 'g' => 2.83495152079732E+01,
+ 'sg' => 1.94256689870811E-03,
+ 'lbm' => 6.24999908478882E-02,
+ 'u' => 1.70725600000000E+25,
+ 'ozm' => 1.0,
+ ],
+ ],
+ 'Distance' => [
+ 'm' => [
+ 'm' => 1.0,
+ 'mi' => 6.21371192237334E-04,
+ 'Nmi' => 5.39956803455724E-04,
+ 'in' => 3.93700787401575E+01,
+ 'ft' => 3.28083989501312E+00,
+ 'yd' => 1.09361329797891E+00,
+ 'ang' => 1.00000000000000E+10,
+ 'Pica' => 2.83464566929116E+03,
+ ],
+ 'mi' => [
+ 'm' => 1.60934400000000E+03,
+ 'mi' => 1.0,
+ 'Nmi' => 8.68976241900648E-01,
+ 'in' => 6.33600000000000E+04,
+ 'ft' => 5.28000000000000E+03,
+ 'yd' => 1.76000000000000E+03,
+ 'ang' => 1.60934400000000E+13,
+ 'Pica' => 4.56191999999971E+06,
+ ],
+ 'Nmi' => [
+ 'm' => 1.85200000000000E+03,
+ 'mi' => 1.15077944802354E+00,
+ 'Nmi' => 1.0,
+ 'in' => 7.29133858267717E+04,
+ 'ft' => 6.07611548556430E+03,
+ 'yd' => 2.02537182785694E+03,
+ 'ang' => 1.85200000000000E+13,
+ 'Pica' => 5.24976377952723E+06,
+ ],
+ 'in' => [
+ 'm' => 2.54000000000000E-02,
+ 'mi' => 1.57828282828283E-05,
+ 'Nmi' => 1.37149028077754E-05,
+ 'in' => 1.0,
+ 'ft' => 8.33333333333333E-02,
+ 'yd' => 2.77777777686643E-02,
+ 'ang' => 2.54000000000000E+08,
+ 'Pica' => 7.19999999999955E+01,
+ ],
+ 'ft' => [
+ 'm' => 3.04800000000000E-01,
+ 'mi' => 1.89393939393939E-04,
+ 'Nmi' => 1.64578833693305E-04,
+ 'in' => 1.20000000000000E+01,
+ 'ft' => 1.0,
+ 'yd' => 3.33333333223972E-01,
+ 'ang' => 3.04800000000000E+09,
+ 'Pica' => 8.63999999999946E+02,
+ ],
+ 'yd' => [
+ 'm' => 9.14400000300000E-01,
+ 'mi' => 5.68181818368230E-04,
+ 'Nmi' => 4.93736501241901E-04,
+ 'in' => 3.60000000118110E+01,
+ 'ft' => 3.00000000000000E+00,
+ 'yd' => 1.0,
+ 'ang' => 9.14400000300000E+09,
+ 'Pica' => 2.59200000085023E+03,
+ ],
+ 'ang' => [
+ 'm' => 1.00000000000000E-10,
+ 'mi' => 6.21371192237334E-14,
+ 'Nmi' => 5.39956803455724E-14,
+ 'in' => 3.93700787401575E-09,
+ 'ft' => 3.28083989501312E-10,
+ 'yd' => 1.09361329797891E-10,
+ 'ang' => 1.0,
+ 'Pica' => 2.83464566929116E-07,
+ ],
+ 'Pica' => [
+ 'm' => 3.52777777777800E-04,
+ 'mi' => 2.19205948372629E-07,
+ 'Nmi' => 1.90484761219114E-07,
+ 'in' => 1.38888888888898E-02,
+ 'ft' => 1.15740740740748E-03,
+ 'yd' => 3.85802469009251E-04,
+ 'ang' => 3.52777777777800E+06,
+ 'Pica' => 1.0,
+ ],
+ ],
+ 'Time' => [
+ 'yr' => [
+ 'yr' => 1.0,
+ 'day' => 365.25,
+ 'hr' => 8766.0,
+ 'mn' => 525960.0,
+ 'sec' => 31557600.0,
+ ],
+ 'day' => [
+ 'yr' => 2.73785078713210E-03,
+ 'day' => 1.0,
+ 'hr' => 24.0,
+ 'mn' => 1440.0,
+ 'sec' => 86400.0,
+ ],
+ 'hr' => [
+ 'yr' => 1.14077116130504E-04,
+ 'day' => 4.16666666666667E-02,
+ 'hr' => 1.0,
+ 'mn' => 60.0,
+ 'sec' => 3600.0,
+ ],
+ 'mn' => [
+ 'yr' => 1.90128526884174E-06,
+ 'day' => 6.94444444444444E-04,
+ 'hr' => 1.66666666666667E-02,
+ 'mn' => 1.0,
+ 'sec' => 60.0,
+ ],
+ 'sec' => [
+ 'yr' => 3.16880878140289E-08,
+ 'day' => 1.15740740740741E-05,
+ 'hr' => 2.77777777777778E-04,
+ 'mn' => 1.66666666666667E-02,
+ 'sec' => 1.0,
+ ],
+ ],
+ 'Pressure' => [
+ 'Pa' => [
+ 'Pa' => 1.0,
+ 'p' => 1.0,
+ 'atm' => 9.86923299998193E-06,
+ 'at' => 9.86923299998193E-06,
+ 'mmHg' => 7.50061707998627E-03,
+ ],
+ 'p' => [
+ 'Pa' => 1.0,
+ 'p' => 1.0,
+ 'atm' => 9.86923299998193E-06,
+ 'at' => 9.86923299998193E-06,
+ 'mmHg' => 7.50061707998627E-03,
+ ],
+ 'atm' => [
+ 'Pa' => 1.01324996583000E+05,
+ 'p' => 1.01324996583000E+05,
+ 'atm' => 1.0,
+ 'at' => 1.0,
+ 'mmHg' => 760.0,
+ ],
+ 'at' => [
+ 'Pa' => 1.01324996583000E+05,
+ 'p' => 1.01324996583000E+05,
+ 'atm' => 1.0,
+ 'at' => 1.0,
+ 'mmHg' => 760.0,
+ ],
+ 'mmHg' => [
+ 'Pa' => 1.33322363925000E+02,
+ 'p' => 1.33322363925000E+02,
+ 'atm' => 1.31578947368421E-03,
+ 'at' => 1.31578947368421E-03,
+ 'mmHg' => 1.0,
+ ],
+ ],
+ 'Force' => [
+ 'N' => [
+ 'N' => 1.0,
+ 'dyn' => 1.0E+5,
+ 'dy' => 1.0E+5,
+ 'lbf' => 2.24808923655339E-01,
+ ],
+ 'dyn' => [
+ 'N' => 1.0E-5,
+ 'dyn' => 1.0,
+ 'dy' => 1.0,
+ 'lbf' => 2.24808923655339E-06,
+ ],
+ 'dy' => [
+ 'N' => 1.0E-5,
+ 'dyn' => 1.0,
+ 'dy' => 1.0,
+ 'lbf' => 2.24808923655339E-06,
+ ],
+ 'lbf' => [
+ 'N' => 4.448222,
+ 'dyn' => 4.448222E+5,
+ 'dy' => 4.448222E+5,
+ 'lbf' => 1.0,
+ ],
+ ],
+ 'Energy' => [
+ 'J' => [
+ 'J' => 1.0,
+ 'e' => 9.99999519343231E+06,
+ 'c' => 2.39006249473467E-01,
+ 'cal' => 2.38846190642017E-01,
+ 'eV' => 6.24145700000000E+18,
+ 'ev' => 6.24145700000000E+18,
+ 'HPh' => 3.72506430801000E-07,
+ 'hh' => 3.72506430801000E-07,
+ 'Wh' => 2.77777916238711E-04,
+ 'wh' => 2.77777916238711E-04,
+ 'flb' => 2.37304222192651E+01,
+ 'BTU' => 9.47815067349015E-04,
+ 'btu' => 9.47815067349015E-04,
+ ],
+ 'e' => [
+ 'J' => 1.00000048065700E-07,
+ 'e' => 1.0,
+ 'c' => 2.39006364353494E-08,
+ 'cal' => 2.38846305445111E-08,
+ 'eV' => 6.24146000000000E+11,
+ 'ev' => 6.24146000000000E+11,
+ 'HPh' => 3.72506609848824E-14,
+ 'hh' => 3.72506609848824E-14,
+ 'Wh' => 2.77778049754611E-11,
+ 'wh' => 2.77778049754611E-11,
+ 'flb' => 2.37304336254586E-06,
+ 'BTU' => 9.47815522922962E-11,
+ 'btu' => 9.47815522922962E-11,
+ ],
+ 'c' => [
+ 'J' => 4.18399101363672E+00,
+ 'e' => 4.18398900257312E+07,
+ 'c' => 1.0,
+ 'cal' => 9.99330315287563E-01,
+ 'eV' => 2.61142000000000E+19,
+ 'ev' => 2.61142000000000E+19,
+ 'HPh' => 1.55856355899327E-06,
+ 'hh' => 1.55856355899327E-06,
+ 'Wh' => 1.16222030532950E-03,
+ 'wh' => 1.16222030532950E-03,
+ 'flb' => 9.92878733152102E+01,
+ 'BTU' => 3.96564972437776E-03,
+ 'btu' => 3.96564972437776E-03,
+ ],
+ 'cal' => [
+ 'J' => 4.18679484613929E+00,
+ 'e' => 4.18679283372801E+07,
+ 'c' => 1.00067013349059E+00,
+ 'cal' => 1.0,
+ 'eV' => 2.61317000000000E+19,
+ 'ev' => 2.61317000000000E+19,
+ 'HPh' => 1.55960800463137E-06,
+ 'hh' => 1.55960800463137E-06,
+ 'Wh' => 1.16299914807955E-03,
+ 'wh' => 1.16299914807955E-03,
+ 'flb' => 9.93544094443283E+01,
+ 'BTU' => 3.96830723907002E-03,
+ 'btu' => 3.96830723907002E-03,
+ ],
+ 'eV' => [
+ 'J' => 1.60219000146921E-19,
+ 'e' => 1.60218923136574E-12,
+ 'c' => 3.82933423195043E-20,
+ 'cal' => 3.82676978535648E-20,
+ 'eV' => 1.0,
+ 'ev' => 1.0,
+ 'HPh' => 5.96826078912344E-26,
+ 'hh' => 5.96826078912344E-26,
+ 'Wh' => 4.45053000026614E-23,
+ 'wh' => 4.45053000026614E-23,
+ 'flb' => 3.80206452103492E-18,
+ 'BTU' => 1.51857982414846E-22,
+ 'btu' => 1.51857982414846E-22,
+ ],
+ 'ev' => [
+ 'J' => 1.60219000146921E-19,
+ 'e' => 1.60218923136574E-12,
+ 'c' => 3.82933423195043E-20,
+ 'cal' => 3.82676978535648E-20,
+ 'eV' => 1.0,
+ 'ev' => 1.0,
+ 'HPh' => 5.96826078912344E-26,
+ 'hh' => 5.96826078912344E-26,
+ 'Wh' => 4.45053000026614E-23,
+ 'wh' => 4.45053000026614E-23,
+ 'flb' => 3.80206452103492E-18,
+ 'BTU' => 1.51857982414846E-22,
+ 'btu' => 1.51857982414846E-22,
+ ],
+ 'HPh' => [
+ 'J' => 2.68451741316170E+06,
+ 'e' => 2.68451612283024E+13,
+ 'c' => 6.41616438565991E+05,
+ 'cal' => 6.41186757845835E+05,
+ 'eV' => 1.67553000000000E+25,
+ 'ev' => 1.67553000000000E+25,
+ 'HPh' => 1.0,
+ 'hh' => 1.0,
+ 'Wh' => 7.45699653134593E+02,
+ 'wh' => 7.45699653134593E+02,
+ 'flb' => 6.37047316692964E+07,
+ 'BTU' => 2.54442605275546E+03,
+ 'btu' => 2.54442605275546E+03,
+ ],
+ 'hh' => [
+ 'J' => 2.68451741316170E+06,
+ 'e' => 2.68451612283024E+13,
+ 'c' => 6.41616438565991E+05,
+ 'cal' => 6.41186757845835E+05,
+ 'eV' => 1.67553000000000E+25,
+ 'ev' => 1.67553000000000E+25,
+ 'HPh' => 1.0,
+ 'hh' => 1.0,
+ 'Wh' => 7.45699653134593E+02,
+ 'wh' => 7.45699653134593E+02,
+ 'flb' => 6.37047316692964E+07,
+ 'BTU' => 2.54442605275546E+03,
+ 'btu' => 2.54442605275546E+03,
+ ],
+ 'Wh' => [
+ 'J' => 3.59999820554720E+03,
+ 'e' => 3.59999647518369E+10,
+ 'c' => 8.60422069219046E+02,
+ 'cal' => 8.59845857713046E+02,
+ 'eV' => 2.24692340000000E+22,
+ 'ev' => 2.24692340000000E+22,
+ 'HPh' => 1.34102248243839E-03,
+ 'hh' => 1.34102248243839E-03,
+ 'Wh' => 1.0,
+ 'wh' => 1.0,
+ 'flb' => 8.54294774062316E+04,
+ 'BTU' => 3.41213254164705E+00,
+ 'btu' => 3.41213254164705E+00,
+ ],
+ 'wh' => [
+ 'J' => 3.59999820554720E+03,
+ 'e' => 3.59999647518369E+10,
+ 'c' => 8.60422069219046E+02,
+ 'cal' => 8.59845857713046E+02,
+ 'eV' => 2.24692340000000E+22,
+ 'ev' => 2.24692340000000E+22,
+ 'HPh' => 1.34102248243839E-03,
+ 'hh' => 1.34102248243839E-03,
+ 'Wh' => 1.0,
+ 'wh' => 1.0,
+ 'flb' => 8.54294774062316E+04,
+ 'BTU' => 3.41213254164705E+00,
+ 'btu' => 3.41213254164705E+00,
+ ],
+ 'flb' => [
+ 'J' => 4.21400003236424E-02,
+ 'e' => 4.21399800687660E+05,
+ 'c' => 1.00717234301644E-02,
+ 'cal' => 1.00649785509554E-02,
+ 'eV' => 2.63015000000000E+17,
+ 'ev' => 2.63015000000000E+17,
+ 'HPh' => 1.56974211145130E-08,
+ 'hh' => 1.56974211145130E-08,
+ 'Wh' => 1.17055614802000E-05,
+ 'wh' => 1.17055614802000E-05,
+ 'flb' => 1.0,
+ 'BTU' => 3.99409272448406E-05,
+ 'btu' => 3.99409272448406E-05,
+ ],
+ 'BTU' => [
+ 'J' => 1.05505813786749E+03,
+ 'e' => 1.05505763074665E+10,
+ 'c' => 2.52165488508168E+02,
+ 'cal' => 2.51996617135510E+02,
+ 'eV' => 6.58510000000000E+21,
+ 'ev' => 6.58510000000000E+21,
+ 'HPh' => 3.93015941224568E-04,
+ 'hh' => 3.93015941224568E-04,
+ 'Wh' => 2.93071851047526E-01,
+ 'wh' => 2.93071851047526E-01,
+ 'flb' => 2.50369750774671E+04,
+ 'BTU' => 1.0,
+ 'btu' => 1.0,
+ ],
+ 'btu' => [
+ 'J' => 1.05505813786749E+03,
+ 'e' => 1.05505763074665E+10,
+ 'c' => 2.52165488508168E+02,
+ 'cal' => 2.51996617135510E+02,
+ 'eV' => 6.58510000000000E+21,
+ 'ev' => 6.58510000000000E+21,
+ 'HPh' => 3.93015941224568E-04,
+ 'hh' => 3.93015941224568E-04,
+ 'Wh' => 2.93071851047526E-01,
+ 'wh' => 2.93071851047526E-01,
+ 'flb' => 2.50369750774671E+04,
+ 'BTU' => 1.0,
+ 'btu' => 1.0,
+ ],
+ ],
+ 'Power' => [
+ 'HP' => [
+ 'HP' => 1.0,
+ 'h' => 1.0,
+ 'W' => 7.45701000000000E+02,
+ 'w' => 7.45701000000000E+02,
+ ],
+ 'h' => [
+ 'HP' => 1.0,
+ 'h' => 1.0,
+ 'W' => 7.45701000000000E+02,
+ 'w' => 7.45701000000000E+02,
+ ],
+ 'W' => [
+ 'HP' => 1.34102006031908E-03,
+ 'h' => 1.34102006031908E-03,
+ 'W' => 1.0,
+ 'w' => 1.0,
+ ],
+ 'w' => [
+ 'HP' => 1.34102006031908E-03,
+ 'h' => 1.34102006031908E-03,
+ 'W' => 1.0,
+ 'w' => 1.0,
+ ],
+ ],
+ 'Magnetism' => [
+ 'T' => [
+ 'T' => 1.0,
+ 'ga' => 10000.0,
+ ],
+ 'ga' => [
+ 'T' => 0.0001,
+ 'ga' => 1.0,
+ ],
+ ],
+ 'Liquid' => [
+ 'tsp' => [
+ 'tsp' => 1.0,
+ 'tbs' => 3.33333333333333E-01,
+ 'oz' => 1.66666666666667E-01,
+ 'cup' => 2.08333333333333E-02,
+ 'pt' => 1.04166666666667E-02,
+ 'us_pt' => 1.04166666666667E-02,
+ 'uk_pt' => 8.67558516821960E-03,
+ 'qt' => 5.20833333333333E-03,
+ 'gal' => 1.30208333333333E-03,
+ 'l' => 4.92999408400710E-03,
+ 'lt' => 4.92999408400710E-03,
+ ],
+ 'tbs' => [
+ 'tsp' => 3.00000000000000E+00,
+ 'tbs' => 1.0,
+ 'oz' => 5.00000000000000E-01,
+ 'cup' => 6.25000000000000E-02,
+ 'pt' => 3.12500000000000E-02,
+ 'us_pt' => 3.12500000000000E-02,
+ 'uk_pt' => 2.60267555046588E-02,
+ 'qt' => 1.56250000000000E-02,
+ 'gal' => 3.90625000000000E-03,
+ 'l' => 1.47899822520213E-02,
+ 'lt' => 1.47899822520213E-02,
+ ],
+ 'oz' => [
+ 'tsp' => 6.00000000000000E+00,
+ 'tbs' => 2.00000000000000E+00,
+ 'oz' => 1.0,
+ 'cup' => 1.25000000000000E-01,
+ 'pt' => 6.25000000000000E-02,
+ 'us_pt' => 6.25000000000000E-02,
+ 'uk_pt' => 5.20535110093176E-02,
+ 'qt' => 3.12500000000000E-02,
+ 'gal' => 7.81250000000000E-03,
+ 'l' => 2.95799645040426E-02,
+ 'lt' => 2.95799645040426E-02,
+ ],
+ 'cup' => [
+ 'tsp' => 4.80000000000000E+01,
+ 'tbs' => 1.60000000000000E+01,
+ 'oz' => 8.00000000000000E+00,
+ 'cup' => 1.0,
+ 'pt' => 5.00000000000000E-01,
+ 'us_pt' => 5.00000000000000E-01,
+ 'uk_pt' => 4.16428088074541E-01,
+ 'qt' => 2.50000000000000E-01,
+ 'gal' => 6.25000000000000E-02,
+ 'l' => 2.36639716032341E-01,
+ 'lt' => 2.36639716032341E-01,
+ ],
+ 'pt' => [
+ 'tsp' => 9.60000000000000E+01,
+ 'tbs' => 3.20000000000000E+01,
+ 'oz' => 1.60000000000000E+01,
+ 'cup' => 2.00000000000000E+00,
+ 'pt' => 1.0,
+ 'us_pt' => 1.0,
+ 'uk_pt' => 8.32856176149081E-01,
+ 'qt' => 5.00000000000000E-01,
+ 'gal' => 1.25000000000000E-01,
+ 'l' => 4.73279432064682E-01,
+ 'lt' => 4.73279432064682E-01,
+ ],
+ 'us_pt' => [
+ 'tsp' => 9.60000000000000E+01,
+ 'tbs' => 3.20000000000000E+01,
+ 'oz' => 1.60000000000000E+01,
+ 'cup' => 2.00000000000000E+00,
+ 'pt' => 1.0,
+ 'us_pt' => 1.0,
+ 'uk_pt' => 8.32856176149081E-01,
+ 'qt' => 5.00000000000000E-01,
+ 'gal' => 1.25000000000000E-01,
+ 'l' => 4.73279432064682E-01,
+ 'lt' => 4.73279432064682E-01,
+ ],
+ 'uk_pt' => [
+ 'tsp' => 1.15266000000000E+02,
+ 'tbs' => 3.84220000000000E+01,
+ 'oz' => 1.92110000000000E+01,
+ 'cup' => 2.40137500000000E+00,
+ 'pt' => 1.20068750000000E+00,
+ 'us_pt' => 1.20068750000000E+00,
+ 'uk_pt' => 1.0,
+ 'qt' => 6.00343750000000E-01,
+ 'gal' => 1.50085937500000E-01,
+ 'l' => 5.68260698087162E-01,
+ 'lt' => 5.68260698087162E-01,
+ ],
+ 'qt' => [
+ 'tsp' => 1.92000000000000E+02,
+ 'tbs' => 6.40000000000000E+01,
+ 'oz' => 3.20000000000000E+01,
+ 'cup' => 4.00000000000000E+00,
+ 'pt' => 2.00000000000000E+00,
+ 'us_pt' => 2.00000000000000E+00,
+ 'uk_pt' => 1.66571235229816E+00,
+ 'qt' => 1.0,
+ 'gal' => 2.50000000000000E-01,
+ 'l' => 9.46558864129363E-01,
+ 'lt' => 9.46558864129363E-01,
+ ],
+ 'gal' => [
+ 'tsp' => 7.68000000000000E+02,
+ 'tbs' => 2.56000000000000E+02,
+ 'oz' => 1.28000000000000E+02,
+ 'cup' => 1.60000000000000E+01,
+ 'pt' => 8.00000000000000E+00,
+ 'us_pt' => 8.00000000000000E+00,
+ 'uk_pt' => 6.66284940919265E+00,
+ 'qt' => 4.00000000000000E+00,
+ 'gal' => 1.0,
+ 'l' => 3.78623545651745E+00,
+ 'lt' => 3.78623545651745E+00,
+ ],
+ 'l' => [
+ 'tsp' => 2.02840000000000E+02,
+ 'tbs' => 6.76133333333333E+01,
+ 'oz' => 3.38066666666667E+01,
+ 'cup' => 4.22583333333333E+00,
+ 'pt' => 2.11291666666667E+00,
+ 'us_pt' => 2.11291666666667E+00,
+ 'uk_pt' => 1.75975569552166E+00,
+ 'qt' => 1.05645833333333E+00,
+ 'gal' => 2.64114583333333E-01,
+ 'l' => 1.0,
+ 'lt' => 1.0,
+ ],
+ 'lt' => [
+ 'tsp' => 2.02840000000000E+02,
+ 'tbs' => 6.76133333333333E+01,
+ 'oz' => 3.38066666666667E+01,
+ 'cup' => 4.22583333333333E+00,
+ 'pt' => 2.11291666666667E+00,
+ 'us_pt' => 2.11291666666667E+00,
+ 'uk_pt' => 1.75975569552166E+00,
+ 'qt' => 1.05645833333333E+00,
+ 'gal' => 2.64114583333333E-01,
+ 'l' => 1.0,
+ 'lt' => 1.0,
+ ],
+ ],
+ ];
+
+ /**
+ * parseComplex.
+ *
+ * Parses a complex number into its real and imaginary parts, and an I or J suffix
+ *
+ * @deprecated 2.0.0 No longer used by internal code. Please use the Complex\Complex class instead
+ *
+ * @param string $complexNumber The complex number
+ *
+ * @return mixed[] Indexed on "real", "imaginary" and "suffix"
+ */
+ public static function parseComplex($complexNumber)
+ {
+ $complex = new Complex($complexNumber);
+
+ return [
+ 'real' => $complex->getReal(),
+ 'imaginary' => $complex->getImaginary(),
+ 'suffix' => $complex->getSuffix(),
+ ];
+ }
+
+ /**
+ * Formats a number base string value with leading zeroes.
+ *
+ * @param string $xVal The "number" to pad
+ * @param int $places The length that we want to pad this value
+ *
+ * @return string The padded "number"
+ */
+ private static function nbrConversionFormat($xVal, $places)
+ {
+ if ($places !== null) {
+ if (is_numeric($places)) {
+ $places = (int) $places;
+ } else {
+ return Functions::VALUE();
+ }
+ if ($places < 0) {
+ return Functions::NAN();
+ }
+ if (strlen($xVal) <= $places) {
+ return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10);
+ }
+
+ return Functions::NAN();
+ }
+
+ return substr($xVal, -10);
+ }
+
+ /**
+ * BESSELI.
+ *
+ * Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated
+ * for purely imaginary arguments
+ *
+ * Excel Function:
+ * BESSELI(x,ord)
+ *
+ * @param float $x The value at which to evaluate the function.
+ * If x is nonnumeric, BESSELI returns the #VALUE! error value.
+ * @param int $ord The order of the Bessel function.
+ * If ord is not an integer, it is truncated.
+ * If $ord is nonnumeric, BESSELI returns the #VALUE! error value.
+ * If $ord < 0, BESSELI returns the #NUM! error value.
+ *
+ * @return float|string Result, or a string containing an error
+ */
+ public static function BESSELI($x, $ord)
+ {
+ $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x);
+ $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord);
+
+ if ((is_numeric($x)) && (is_numeric($ord))) {
+ $ord = floor($ord);
+ if ($ord < 0) {
+ return Functions::NAN();
+ }
+
+ if (abs($x) <= 30) {
+ $fResult = $fTerm = ($x / 2) ** $ord / MathTrig::FACT($ord);
+ $ordK = 1;
+ $fSqrX = ($x * $x) / 4;
+ do {
+ $fTerm *= $fSqrX;
+ $fTerm /= ($ordK * ($ordK + $ord));
+ $fResult += $fTerm;
+ } while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
+ } else {
+ $f_2_PI = 2 * M_PI;
+
+ $fXAbs = abs($x);
+ $fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs);
+ if (($ord & 1) && ($x < 0)) {
+ $fResult = -$fResult;
+ }
+ }
+
+ return (is_nan($fResult)) ? Functions::NAN() : $fResult;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * BESSELJ.
+ *
+ * Returns the Bessel function
+ *
+ * Excel Function:
+ * BESSELJ(x,ord)
+ *
+ * @param float $x The value at which to evaluate the function.
+ * If x is nonnumeric, BESSELJ returns the #VALUE! error value.
+ * @param int $ord The order of the Bessel function. If n is not an integer, it is truncated.
+ * If $ord is nonnumeric, BESSELJ returns the #VALUE! error value.
+ * If $ord < 0, BESSELJ returns the #NUM! error value.
+ *
+ * @return float|string Result, or a string containing an error
+ */
+ public static function BESSELJ($x, $ord)
+ {
+ $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x);
+ $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord);
+
+ if ((is_numeric($x)) && (is_numeric($ord))) {
+ $ord = floor($ord);
+ if ($ord < 0) {
+ return Functions::NAN();
+ }
+
+ $fResult = 0;
+ if (abs($x) <= 30) {
+ $fResult = $fTerm = ($x / 2) ** $ord / MathTrig::FACT($ord);
+ $ordK = 1;
+ $fSqrX = ($x * $x) / -4;
+ do {
+ $fTerm *= $fSqrX;
+ $fTerm /= ($ordK * ($ordK + $ord));
+ $fResult += $fTerm;
+ } while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
+ } else {
+ $f_PI_DIV_2 = M_PI / 2;
+ $f_PI_DIV_4 = M_PI / 4;
+
+ $fXAbs = abs($x);
+ $fResult = sqrt(Functions::M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4);
+ if (($ord & 1) && ($x < 0)) {
+ $fResult = -$fResult;
+ }
+ }
+
+ return (is_nan($fResult)) ? Functions::NAN() : $fResult;
+ }
+
+ return Functions::VALUE();
+ }
+
+ private static function besselK0($fNum)
+ {
+ if ($fNum <= 2) {
+ $fNum2 = $fNum * 0.5;
+ $y = ($fNum2 * $fNum2);
+ $fRet = -log($fNum2) * self::BESSELI($fNum, 0) +
+ (-0.57721566 + $y * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y *
+ (0.10750e-3 + $y * 0.74e-5))))));
+ } else {
+ $y = 2 / $fNum;
+ $fRet = exp(-$fNum) / sqrt($fNum) *
+ (1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y *
+ (0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3))))));
+ }
+
+ return $fRet;
+ }
+
+ private static function besselK1($fNum)
+ {
+ if ($fNum <= 2) {
+ $fNum2 = $fNum * 0.5;
+ $y = ($fNum2 * $fNum2);
+ $fRet = log($fNum2) * self::BESSELI($fNum, 1) +
+ (1 + $y * (0.15443144 + $y * (-0.67278579 + $y * (-0.18156897 + $y * (-0.1919402e-1 + $y *
+ (-0.110404e-2 + $y * (-0.4686e-4))))))) / $fNum;
+ } else {
+ $y = 2 / $fNum;
+ $fRet = exp(-$fNum) / sqrt($fNum) *
+ (1.25331414 + $y * (0.23498619 + $y * (-0.3655620e-1 + $y * (0.1504268e-1 + $y * (-0.780353e-2 + $y *
+ (0.325614e-2 + $y * (-0.68245e-3)))))));
+ }
+
+ return $fRet;
+ }
+
+ /**
+ * BESSELK.
+ *
+ * Returns the modified Bessel function Kn(x), which is equivalent to the Bessel functions evaluated
+ * for purely imaginary arguments.
+ *
+ * Excel Function:
+ * BESSELK(x,ord)
+ *
+ * @param float $x The value at which to evaluate the function.
+ * If x is nonnumeric, BESSELK returns the #VALUE! error value.
+ * @param int $ord The order of the Bessel function. If n is not an integer, it is truncated.
+ * If $ord is nonnumeric, BESSELK returns the #VALUE! error value.
+ * If $ord < 0, BESSELK returns the #NUM! error value.
+ *
+ * @return float|string Result, or a string containing an error
+ */
+ public static function BESSELK($x, $ord)
+ {
+ $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x);
+ $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord);
+
+ if ((is_numeric($x)) && (is_numeric($ord))) {
+ if (($ord < 0) || ($x == 0.0)) {
+ return Functions::NAN();
+ }
+
+ switch (floor($ord)) {
+ case 0:
+ $fBk = self::besselK0($x);
+
+ break;
+ case 1:
+ $fBk = self::besselK1($x);
+
+ break;
+ default:
+ $fTox = 2 / $x;
+ $fBkm = self::besselK0($x);
+ $fBk = self::besselK1($x);
+ for ($n = 1; $n < $ord; ++$n) {
+ $fBkp = $fBkm + $n * $fTox * $fBk;
+ $fBkm = $fBk;
+ $fBk = $fBkp;
+ }
+ }
+
+ return (is_nan($fBk)) ? Functions::NAN() : $fBk;
+ }
+
+ return Functions::VALUE();
+ }
+
+ private static function besselY0($fNum)
+ {
+ if ($fNum < 8.0) {
+ $y = ($fNum * $fNum);
+ $f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733))));
+ $f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.26470 + $y * (226.1030244 + $y))));
+ $fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum);
+ } else {
+ $z = 8.0 / $fNum;
+ $y = ($z * $z);
+ $xx = $fNum - 0.785398164;
+ $f1 = 1 + $y * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6)));
+ $f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7))));
+ $fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2);
+ }
+
+ return $fRet;
+ }
+
+ private static function besselY1($fNum)
+ {
+ if ($fNum < 8.0) {
+ $y = ($fNum * $fNum);
+ $f1 = $fNum * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y *
+ (-0.4237922726e7 + $y * 0.8511937935e4)))));
+ $f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y *
+ (0.1020426050e6 + $y * (0.3549632885e3 + $y)))));
+ $fRet = $f1 / $f2 + 0.636619772 * (self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum);
+ } else {
+ $fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491);
+ }
+
+ return $fRet;
+ }
+
+ /**
+ * BESSELY.
+ *
+ * Returns the Bessel function, which is also called the Weber function or the Neumann function.
+ *
+ * Excel Function:
+ * BESSELY(x,ord)
+ *
+ * @param float $x The value at which to evaluate the function.
+ * If x is nonnumeric, BESSELK returns the #VALUE! error value.
+ * @param int $ord The order of the Bessel function. If n is not an integer, it is truncated.
+ * If $ord is nonnumeric, BESSELK returns the #VALUE! error value.
+ * If $ord < 0, BESSELK returns the #NUM! error value.
+ *
+ * @return float|string Result, or a string containing an error
+ */
+ public static function BESSELY($x, $ord)
+ {
+ $x = ($x === null) ? 0.0 : Functions::flattenSingleValue($x);
+ $ord = ($ord === null) ? 0.0 : Functions::flattenSingleValue($ord);
+
+ if ((is_numeric($x)) && (is_numeric($ord))) {
+ if (($ord < 0) || ($x == 0.0)) {
+ return Functions::NAN();
+ }
+
+ switch (floor($ord)) {
+ case 0:
+ $fBy = self::besselY0($x);
+
+ break;
+ case 1:
+ $fBy = self::besselY1($x);
+
+ break;
+ default:
+ $fTox = 2 / $x;
+ $fBym = self::besselY0($x);
+ $fBy = self::besselY1($x);
+ for ($n = 1; $n < $ord; ++$n) {
+ $fByp = $n * $fTox * $fBy - $fBym;
+ $fBym = $fBy;
+ $fBy = $fByp;
+ }
+ }
+
+ return (is_nan($fBy)) ? Functions::NAN() : $fBy;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * BINTODEC.
+ *
+ * Return a binary value as decimal.
+ *
+ * Excel Function:
+ * BIN2DEC(x)
+ *
+ * @param string $x The binary number (as a string) that you want to convert. The number
+ * cannot contain more than 10 characters (10 bits). The most significant
+ * bit of number is the sign bit. The remaining 9 bits are magnitude bits.
+ * Negative numbers are represented using two's-complement notation.
+ * If number is not a valid binary number, or if number contains more than
+ * 10 characters (10 bits), BIN2DEC returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function BINTODEC($x)
+ {
+ $x = Functions::flattenSingleValue($x);
+
+ if (is_bool($x)) {
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
+ $x = (int) $x;
+ } else {
+ return Functions::VALUE();
+ }
+ }
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) {
+ $x = floor($x);
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[01]/', $x, $out)) {
+ return Functions::NAN();
+ }
+ if (strlen($x) > 10) {
+ return Functions::NAN();
+ } elseif (strlen($x) == 10) {
+ // Two's Complement
+ $x = substr($x, -9);
+
+ return '-' . (512 - bindec($x));
+ }
+
+ return bindec($x);
+ }
+
+ /**
+ * BINTOHEX.
+ *
+ * Return a binary value as hex.
+ *
+ * Excel Function:
+ * BIN2HEX(x[,places])
+ *
+ * @param string $x The binary number (as a string) that you want to convert. The number
+ * cannot contain more than 10 characters (10 bits). The most significant
+ * bit of number is the sign bit. The remaining 9 bits are magnitude bits.
+ * Negative numbers are represented using two's-complement notation.
+ * If number is not a valid binary number, or if number contains more than
+ * 10 characters (10 bits), BIN2HEX returns the #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted, BIN2HEX uses the
+ * minimum number of characters necessary. Places is useful for padding the
+ * return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, BIN2HEX returns the #VALUE! error value.
+ * If places is negative, BIN2HEX returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function BINTOHEX($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ // Argument X
+ if (is_bool($x)) {
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
+ $x = (int) $x;
+ } else {
+ return Functions::VALUE();
+ }
+ }
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) {
+ $x = floor($x);
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[01]/', $x, $out)) {
+ return Functions::NAN();
+ }
+ if (strlen($x) > 10) {
+ return Functions::NAN();
+ } elseif (strlen($x) == 10) {
+ // Two's Complement
+ return str_repeat('F', 8) . substr(strtoupper(dechex(bindec(substr($x, -9)))), -2);
+ }
+ $hexVal = (string) strtoupper(dechex(bindec($x)));
+
+ return self::nbrConversionFormat($hexVal, $places);
+ }
+
+ /**
+ * BINTOOCT.
+ *
+ * Return a binary value as octal.
+ *
+ * Excel Function:
+ * BIN2OCT(x[,places])
+ *
+ * @param string $x The binary number (as a string) that you want to convert. The number
+ * cannot contain more than 10 characters (10 bits). The most significant
+ * bit of number is the sign bit. The remaining 9 bits are magnitude bits.
+ * Negative numbers are represented using two's-complement notation.
+ * If number is not a valid binary number, or if number contains more than
+ * 10 characters (10 bits), BIN2OCT returns the #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted, BIN2OCT uses the
+ * minimum number of characters necessary. Places is useful for padding the
+ * return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, BIN2OCT returns the #VALUE! error value.
+ * If places is negative, BIN2OCT returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function BINTOOCT($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
+ $x = (int) $x;
+ } else {
+ return Functions::VALUE();
+ }
+ }
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_GNUMERIC) {
+ $x = floor($x);
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[01]/', $x, $out)) {
+ return Functions::NAN();
+ }
+ if (strlen($x) > 10) {
+ return Functions::NAN();
+ } elseif (strlen($x) == 10) {
+ // Two's Complement
+ return str_repeat('7', 7) . substr(strtoupper(decoct(bindec(substr($x, -9)))), -3);
+ }
+ $octVal = (string) decoct(bindec($x));
+
+ return self::nbrConversionFormat($octVal, $places);
+ }
+
+ /**
+ * DECTOBIN.
+ *
+ * Return a decimal value as binary.
+ *
+ * Excel Function:
+ * DEC2BIN(x[,places])
+ *
+ * @param string $x The decimal integer you want to convert. If number is negative,
+ * valid place values are ignored and DEC2BIN returns a 10-character
+ * (10-bit) binary number in which the most significant bit is the sign
+ * bit. The remaining 9 bits are magnitude bits. Negative numbers are
+ * represented using two's-complement notation.
+ * If number < -512 or if number > 511, DEC2BIN returns the #NUM! error
+ * value.
+ * If number is nonnumeric, DEC2BIN returns the #VALUE! error value.
+ * If DEC2BIN requires more than places characters, it returns the #NUM!
+ * error value.
+ * @param int $places The number of characters to use. If places is omitted, DEC2BIN uses
+ * the minimum number of characters necessary. Places is useful for
+ * padding the return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, DEC2BIN returns the #VALUE! error value.
+ * If places is zero or negative, DEC2BIN returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function DECTOBIN($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
+ $x = (int) $x;
+ } else {
+ return Functions::VALUE();
+ }
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) {
+ return Functions::VALUE();
+ }
+
+ $x = (string) floor($x);
+ if ($x < -512 || $x > 511) {
+ return Functions::NAN();
+ }
+
+ $r = decbin($x);
+ // Two's Complement
+ $r = substr($r, -10);
+ if (strlen($r) >= 11) {
+ return Functions::NAN();
+ }
+
+ return self::nbrConversionFormat($r, $places);
+ }
+
+ /**
+ * DECTOHEX.
+ *
+ * Return a decimal value as hex.
+ *
+ * Excel Function:
+ * DEC2HEX(x[,places])
+ *
+ * @param string $x The decimal integer you want to convert. If number is negative,
+ * places is ignored and DEC2HEX returns a 10-character (40-bit)
+ * hexadecimal number in which the most significant bit is the sign
+ * bit. The remaining 39 bits are magnitude bits. Negative numbers
+ * are represented using two's-complement notation.
+ * If number < -549,755,813,888 or if number > 549,755,813,887,
+ * DEC2HEX returns the #NUM! error value.
+ * If number is nonnumeric, DEC2HEX returns the #VALUE! error value.
+ * If DEC2HEX requires more than places characters, it returns the
+ * #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted, DEC2HEX uses
+ * the minimum number of characters necessary. Places is useful for
+ * padding the return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, DEC2HEX returns the #VALUE! error value.
+ * If places is zero or negative, DEC2HEX returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function DECTOHEX($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
+ $x = (int) $x;
+ } else {
+ return Functions::VALUE();
+ }
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) {
+ return Functions::VALUE();
+ }
+ $x = (string) floor($x);
+ $r = strtoupper(dechex($x));
+ if (strlen($r) == 8) {
+ // Two's Complement
+ $r = 'FF' . $r;
+ }
+
+ return self::nbrConversionFormat($r, $places);
+ }
+
+ /**
+ * DECTOOCT.
+ *
+ * Return an decimal value as octal.
+ *
+ * Excel Function:
+ * DEC2OCT(x[,places])
+ *
+ * @param string $x The decimal integer you want to convert. If number is negative,
+ * places is ignored and DEC2OCT returns a 10-character (30-bit)
+ * octal number in which the most significant bit is the sign bit.
+ * The remaining 29 bits are magnitude bits. Negative numbers are
+ * represented using two's-complement notation.
+ * If number < -536,870,912 or if number > 536,870,911, DEC2OCT
+ * returns the #NUM! error value.
+ * If number is nonnumeric, DEC2OCT returns the #VALUE! error value.
+ * If DEC2OCT requires more than places characters, it returns the
+ * #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted, DEC2OCT uses
+ * the minimum number of characters necessary. Places is useful for
+ * padding the return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, DEC2OCT returns the #VALUE! error value.
+ * If places is zero or negative, DEC2OCT returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function DECTOOCT($x, $places = null)
+ {
+ $xorig = $x;
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ if (Functions::getCompatibilityMode() == Functions::COMPATIBILITY_OPENOFFICE) {
+ $x = (int) $x;
+ } else {
+ return Functions::VALUE();
+ }
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[-0123456789.]/', $x, $out)) {
+ return Functions::VALUE();
+ }
+ $x = (string) floor($x);
+ $r = decoct($x);
+ if (strlen($r) == 11) {
+ // Two's Complement
+ $r = substr($r, -10);
+ }
+
+ return self::nbrConversionFormat($r, $places);
+ }
+
+ /**
+ * HEXTOBIN.
+ *
+ * Return a hex value as binary.
+ *
+ * Excel Function:
+ * HEX2BIN(x[,places])
+ *
+ * @param string $x the hexadecimal number you want to convert.
+ * Number cannot contain more than 10 characters.
+ * The most significant bit of number is the sign bit (40th bit from the right).
+ * The remaining 9 bits are magnitude bits.
+ * Negative numbers are represented using two's-complement notation.
+ * If number is negative, HEX2BIN ignores places and returns a 10-character binary number.
+ * If number is negative, it cannot be less than FFFFFFFE00,
+ * and if number is positive, it cannot be greater than 1FF.
+ * If number is not a valid hexadecimal number, HEX2BIN returns the #NUM! error value.
+ * If HEX2BIN requires more than places characters, it returns the #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted,
+ * HEX2BIN uses the minimum number of characters necessary. Places
+ * is useful for padding the return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, HEX2BIN returns the #VALUE! error value.
+ * If places is negative, HEX2BIN returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function HEXTOBIN($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ return Functions::VALUE();
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) {
+ return Functions::NAN();
+ }
+
+ return self::DECTOBIN(self::HEXTODEC($x), $places);
+ }
+
+ /**
+ * HEXTODEC.
+ *
+ * Return a hex value as decimal.
+ *
+ * Excel Function:
+ * HEX2DEC(x)
+ *
+ * @param string $x The hexadecimal number you want to convert. This number cannot
+ * contain more than 10 characters (40 bits). The most significant
+ * bit of number is the sign bit. The remaining 39 bits are magnitude
+ * bits. Negative numbers are represented using two's-complement
+ * notation.
+ * If number is not a valid hexadecimal number, HEX2DEC returns the
+ * #NUM! error value.
+ *
+ * @return string
+ */
+ public static function HEXTODEC($x)
+ {
+ $x = Functions::flattenSingleValue($x);
+
+ if (is_bool($x)) {
+ return Functions::VALUE();
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) {
+ return Functions::NAN();
+ }
+
+ if (strlen($x) > 10) {
+ return Functions::NAN();
+ }
+
+ $binX = '';
+ foreach (str_split($x) as $char) {
+ $binX .= str_pad(base_convert($char, 16, 2), 4, '0', STR_PAD_LEFT);
+ }
+ if (strlen($binX) == 40 && $binX[0] == '1') {
+ for ($i = 0; $i < 40; ++$i) {
+ $binX[$i] = ($binX[$i] == '1' ? '0' : '1');
+ }
+
+ return (bindec($binX) + 1) * -1;
+ }
+
+ return bindec($binX);
+ }
+
+ /**
+ * HEXTOOCT.
+ *
+ * Return a hex value as octal.
+ *
+ * Excel Function:
+ * HEX2OCT(x[,places])
+ *
+ * @param string $x The hexadecimal number you want to convert. Number cannot
+ * contain more than 10 characters. The most significant bit of
+ * number is the sign bit. The remaining 39 bits are magnitude
+ * bits. Negative numbers are represented using two's-complement
+ * notation.
+ * If number is negative, HEX2OCT ignores places and returns a
+ * 10-character octal number.
+ * If number is negative, it cannot be less than FFE0000000, and
+ * if number is positive, it cannot be greater than 1FFFFFFF.
+ * If number is not a valid hexadecimal number, HEX2OCT returns
+ * the #NUM! error value.
+ * If HEX2OCT requires more than places characters, it returns
+ * the #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted, HEX2OCT
+ * uses the minimum number of characters necessary. Places is
+ * useful for padding the return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, HEX2OCT returns the #VALUE! error
+ * value.
+ * If places is negative, HEX2OCT returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function HEXTOOCT($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ return Functions::VALUE();
+ }
+ $x = (string) $x;
+ if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/', strtoupper($x), $out)) {
+ return Functions::NAN();
+ }
+
+ $decimal = self::HEXTODEC($x);
+ if ($decimal < -536870912 || $decimal > 536870911) {
+ return Functions::NAN();
+ }
+
+ return self::DECTOOCT($decimal, $places);
+ }
+
+ /**
+ * OCTTOBIN.
+ *
+ * Return an octal value as binary.
+ *
+ * Excel Function:
+ * OCT2BIN(x[,places])
+ *
+ * @param string $x The octal number you want to convert. Number may not
+ * contain more than 10 characters. The most significant
+ * bit of number is the sign bit. The remaining 29 bits
+ * are magnitude bits. Negative numbers are represented
+ * using two's-complement notation.
+ * If number is negative, OCT2BIN ignores places and returns
+ * a 10-character binary number.
+ * If number is negative, it cannot be less than 7777777000,
+ * and if number is positive, it cannot be greater than 777.
+ * If number is not a valid octal number, OCT2BIN returns
+ * the #NUM! error value.
+ * If OCT2BIN requires more than places characters, it
+ * returns the #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted,
+ * OCT2BIN uses the minimum number of characters necessary.
+ * Places is useful for padding the return value with
+ * leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, OCT2BIN returns the #VALUE!
+ * error value.
+ * If places is negative, OCT2BIN returns the #NUM! error
+ * value.
+ *
+ * @return string
+ */
+ public static function OCTTOBIN($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ return Functions::VALUE();
+ }
+ $x = (string) $x;
+ if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) {
+ return Functions::NAN();
+ }
+
+ return self::DECTOBIN(self::OCTTODEC($x), $places);
+ }
+
+ /**
+ * OCTTODEC.
+ *
+ * Return an octal value as decimal.
+ *
+ * Excel Function:
+ * OCT2DEC(x)
+ *
+ * @param string $x The octal number you want to convert. Number may not contain
+ * more than 10 octal characters (30 bits). The most significant
+ * bit of number is the sign bit. The remaining 29 bits are
+ * magnitude bits. Negative numbers are represented using
+ * two's-complement notation.
+ * If number is not a valid octal number, OCT2DEC returns the
+ * #NUM! error value.
+ *
+ * @return string
+ */
+ public static function OCTTODEC($x)
+ {
+ $x = Functions::flattenSingleValue($x);
+
+ if (is_bool($x)) {
+ return Functions::VALUE();
+ }
+ $x = (string) $x;
+ if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) {
+ return Functions::NAN();
+ }
+ $binX = '';
+ foreach (str_split($x) as $char) {
+ $binX .= str_pad(decbin((int) $char), 3, '0', STR_PAD_LEFT);
+ }
+ if (strlen($binX) == 30 && $binX[0] == '1') {
+ for ($i = 0; $i < 30; ++$i) {
+ $binX[$i] = ($binX[$i] == '1' ? '0' : '1');
+ }
+
+ return (bindec($binX) + 1) * -1;
+ }
+
+ return bindec($binX);
+ }
+
+ /**
+ * OCTTOHEX.
+ *
+ * Return an octal value as hex.
+ *
+ * Excel Function:
+ * OCT2HEX(x[,places])
+ *
+ * @param string $x The octal number you want to convert. Number may not contain
+ * more than 10 octal characters (30 bits). The most significant
+ * bit of number is the sign bit. The remaining 29 bits are
+ * magnitude bits. Negative numbers are represented using
+ * two's-complement notation.
+ * If number is negative, OCT2HEX ignores places and returns a
+ * 10-character hexadecimal number.
+ * If number is not a valid octal number, OCT2HEX returns the
+ * #NUM! error value.
+ * If OCT2HEX requires more than places characters, it returns
+ * the #NUM! error value.
+ * @param int $places The number of characters to use. If places is omitted, OCT2HEX
+ * uses the minimum number of characters necessary. Places is useful
+ * for padding the return value with leading 0s (zeros).
+ * If places is not an integer, it is truncated.
+ * If places is nonnumeric, OCT2HEX returns the #VALUE! error value.
+ * If places is negative, OCT2HEX returns the #NUM! error value.
+ *
+ * @return string
+ */
+ public static function OCTTOHEX($x, $places = null)
+ {
+ $x = Functions::flattenSingleValue($x);
+ $places = Functions::flattenSingleValue($places);
+
+ if (is_bool($x)) {
+ return Functions::VALUE();
+ }
+ $x = (string) $x;
+ if (preg_match_all('/[01234567]/', $x, $out) != strlen($x)) {
+ return Functions::NAN();
+ }
+ $hexVal = strtoupper(dechex(self::OCTTODEC($x)));
+
+ return self::nbrConversionFormat($hexVal, $places);
+ }
+
+ /**
+ * COMPLEX.
+ *
+ * Converts real and imaginary coefficients into a complex number of the form x +/- yi or x +/- yj.
+ *
+ * Excel Function:
+ * COMPLEX(realNumber,imaginary[,suffix])
+ *
+ * @param float $realNumber the real coefficient of the complex number
+ * @param float $imaginary the imaginary coefficient of the complex number
+ * @param string $suffix The suffix for the imaginary component of the complex number.
+ * If omitted, the suffix is assumed to be "i".
+ *
+ * @return string
+ */
+ public static function COMPLEX($realNumber = 0.0, $imaginary = 0.0, $suffix = 'i')
+ {
+ $realNumber = ($realNumber === null) ? 0.0 : Functions::flattenSingleValue($realNumber);
+ $imaginary = ($imaginary === null) ? 0.0 : Functions::flattenSingleValue($imaginary);
+ $suffix = ($suffix === null) ? 'i' : Functions::flattenSingleValue($suffix);
+
+ if (
+ ((is_numeric($realNumber)) && (is_numeric($imaginary))) &&
+ (($suffix == 'i') || ($suffix == 'j') || ($suffix == ''))
+ ) {
+ $complex = new Complex($realNumber, $imaginary, $suffix);
+
+ return (string) $complex;
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * IMAGINARY.
+ *
+ * Returns the imaginary coefficient of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMAGINARY(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the imaginary
+ * coefficient
+ *
+ * @return float
+ */
+ public static function IMAGINARY($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (new Complex($complexNumber))->getImaginary();
+ }
+
+ /**
+ * IMREAL.
+ *
+ * Returns the real coefficient of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMREAL(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the real coefficient
+ *
+ * @return float
+ */
+ public static function IMREAL($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (new Complex($complexNumber))->getReal();
+ }
+
+ /**
+ * IMABS.
+ *
+ * Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMABS(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the absolute value
+ *
+ * @return float
+ */
+ public static function IMABS($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (new Complex($complexNumber))->abs();
+ }
+
+ /**
+ * IMARGUMENT.
+ *
+ * Returns the argument theta of a complex number, i.e. the angle in radians from the real
+ * axis to the representation of the number in polar coordinates.
+ *
+ * Excel Function:
+ * IMARGUMENT(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the argument theta
+ *
+ * @return float|string
+ */
+ public static function IMARGUMENT($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ $complex = new Complex($complexNumber);
+ if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
+ return Functions::DIV0();
+ }
+
+ return $complex->argument();
+ }
+
+ /**
+ * IMCONJUGATE.
+ *
+ * Returns the complex conjugate of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMCONJUGATE(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the conjugate
+ *
+ * @return string
+ */
+ public static function IMCONJUGATE($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->conjugate();
+ }
+
+ /**
+ * IMCOS.
+ *
+ * Returns the cosine of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMCOS(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the cosine
+ *
+ * @return float|string
+ */
+ public static function IMCOS($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->cos();
+ }
+
+ /**
+ * IMCOSH.
+ *
+ * Returns the hyperbolic cosine of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMCOSH(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the hyperbolic cosine
+ *
+ * @return float|string
+ */
+ public static function IMCOSH($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->cosh();
+ }
+
+ /**
+ * IMCOT.
+ *
+ * Returns the cotangent of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMCOT(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the cotangent
+ *
+ * @return float|string
+ */
+ public static function IMCOT($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->cot();
+ }
+
+ /**
+ * IMCSC.
+ *
+ * Returns the cosecant of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMCSC(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the cosecant
+ *
+ * @return float|string
+ */
+ public static function IMCSC($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->csc();
+ }
+
+ /**
+ * IMCSCH.
+ *
+ * Returns the hyperbolic cosecant of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMCSCH(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the hyperbolic cosecant
+ *
+ * @return float|string
+ */
+ public static function IMCSCH($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->csch();
+ }
+
+ /**
+ * IMSIN.
+ *
+ * Returns the sine of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMSIN(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the sine
+ *
+ * @return float|string
+ */
+ public static function IMSIN($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->sin();
+ }
+
+ /**
+ * IMSINH.
+ *
+ * Returns the hyperbolic sine of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMSINH(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the hyperbolic sine
+ *
+ * @return float|string
+ */
+ public static function IMSINH($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->sinh();
+ }
+
+ /**
+ * IMSEC.
+ *
+ * Returns the secant of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMSEC(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the secant
+ *
+ * @return float|string
+ */
+ public static function IMSEC($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->sec();
+ }
+
+ /**
+ * IMSECH.
+ *
+ * Returns the hyperbolic secant of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMSECH(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the hyperbolic secant
+ *
+ * @return float|string
+ */
+ public static function IMSECH($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->sech();
+ }
+
+ /**
+ * IMTAN.
+ *
+ * Returns the tangent of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMTAN(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the tangent
+ *
+ * @return float|string
+ */
+ public static function IMTAN($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->tan();
+ }
+
+ /**
+ * IMSQRT.
+ *
+ * Returns the square root of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMSQRT(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the square root
+ *
+ * @return string
+ */
+ public static function IMSQRT($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ $theta = self::IMARGUMENT($complexNumber);
+ if ($theta === Functions::DIV0()) {
+ return '0';
+ }
+
+ return (string) (new Complex($complexNumber))->sqrt();
+ }
+
+ /**
+ * IMLN.
+ *
+ * Returns the natural logarithm of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMLN(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the natural logarithm
+ *
+ * @return string
+ */
+ public static function IMLN($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ $complex = new Complex($complexNumber);
+ if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
+ return Functions::NAN();
+ }
+
+ return (string) (new Complex($complexNumber))->ln();
+ }
+
+ /**
+ * IMLOG10.
+ *
+ * Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMLOG10(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the common logarithm
+ *
+ * @return string
+ */
+ public static function IMLOG10($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ $complex = new Complex($complexNumber);
+ if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
+ return Functions::NAN();
+ }
+
+ return (string) (new Complex($complexNumber))->log10();
+ }
+
+ /**
+ * IMLOG2.
+ *
+ * Returns the base-2 logarithm of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMLOG2(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the base-2 logarithm
+ *
+ * @return string
+ */
+ public static function IMLOG2($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ $complex = new Complex($complexNumber);
+ if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
+ return Functions::NAN();
+ }
+
+ return (string) (new Complex($complexNumber))->log2();
+ }
+
+ /**
+ * IMEXP.
+ *
+ * Returns the exponential of a complex number in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMEXP(complexNumber)
+ *
+ * @param string $complexNumber the complex number for which you want the exponential
+ *
+ * @return string
+ */
+ public static function IMEXP($complexNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+
+ return (string) (new Complex($complexNumber))->exp();
+ }
+
+ /**
+ * IMPOWER.
+ *
+ * Returns a complex number in x + yi or x + yj text format raised to a power.
+ *
+ * Excel Function:
+ * IMPOWER(complexNumber,realNumber)
+ *
+ * @param string $complexNumber the complex number you want to raise to a power
+ * @param float $realNumber the power to which you want to raise the complex number
+ *
+ * @return string
+ */
+ public static function IMPOWER($complexNumber, $realNumber)
+ {
+ $complexNumber = Functions::flattenSingleValue($complexNumber);
+ $realNumber = Functions::flattenSingleValue($realNumber);
+
+ if (!is_numeric($realNumber)) {
+ return Functions::VALUE();
+ }
+
+ return (string) (new Complex($complexNumber))->pow($realNumber);
+ }
+
+ /**
+ * IMDIV.
+ *
+ * Returns the quotient of two complex numbers in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMDIV(complexDividend,complexDivisor)
+ *
+ * @param string $complexDividend the complex numerator or dividend
+ * @param string $complexDivisor the complex denominator or divisor
+ *
+ * @return string
+ */
+ public static function IMDIV($complexDividend, $complexDivisor)
+ {
+ $complexDividend = Functions::flattenSingleValue($complexDividend);
+ $complexDivisor = Functions::flattenSingleValue($complexDivisor);
+
+ try {
+ return (string) (new Complex($complexDividend))->divideby(new Complex($complexDivisor));
+ } catch (ComplexException $e) {
+ return Functions::NAN();
+ }
+ }
+
+ /**
+ * IMSUB.
+ *
+ * Returns the difference of two complex numbers in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMSUB(complexNumber1,complexNumber2)
+ *
+ * @param string $complexNumber1 the complex number from which to subtract complexNumber2
+ * @param string $complexNumber2 the complex number to subtract from complexNumber1
+ *
+ * @return string
+ */
+ public static function IMSUB($complexNumber1, $complexNumber2)
+ {
+ $complexNumber1 = Functions::flattenSingleValue($complexNumber1);
+ $complexNumber2 = Functions::flattenSingleValue($complexNumber2);
+
+ try {
+ return (string) (new Complex($complexNumber1))->subtract(new Complex($complexNumber2));
+ } catch (ComplexException $e) {
+ return Functions::NAN();
+ }
+ }
+
+ /**
+ * IMSUM.
+ *
+ * Returns the sum of two or more complex numbers in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMSUM(complexNumber[,complexNumber[,...]])
+ *
+ * @param string ...$complexNumbers Series of complex numbers to add
+ *
+ * @return string
+ */
+ public static function IMSUM(...$complexNumbers)
+ {
+ // Return value
+ $returnValue = new Complex(0.0);
+ $aArgs = Functions::flattenArray($complexNumbers);
+
+ try {
+ // Loop through the arguments
+ foreach ($aArgs as $complex) {
+ $returnValue = $returnValue->add(new Complex($complex));
+ }
+ } catch (ComplexException $e) {
+ return Functions::NAN();
+ }
+
+ return (string) $returnValue;
+ }
+
+ /**
+ * IMPRODUCT.
+ *
+ * Returns the product of two or more complex numbers in x + yi or x + yj text format.
+ *
+ * Excel Function:
+ * IMPRODUCT(complexNumber[,complexNumber[,...]])
+ *
+ * @param string ...$complexNumbers Series of complex numbers to multiply
+ *
+ * @return string
+ */
+ public static function IMPRODUCT(...$complexNumbers)
+ {
+ // Return value
+ $returnValue = new Complex(1.0);
+ $aArgs = Functions::flattenArray($complexNumbers);
+
+ try {
+ // Loop through the arguments
+ foreach ($aArgs as $complex) {
+ $returnValue = $returnValue->multiply(new Complex($complex));
+ }
+ } catch (ComplexException $e) {
+ return Functions::NAN();
+ }
+
+ return (string) $returnValue;
+ }
+
+ /**
+ * DELTA.
+ *
+ * Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise.
+ * Use this function to filter a set of values. For example, by summing several DELTA
+ * functions you calculate the count of equal pairs. This function is also known as the
+ * Kronecker Delta function.
+ *
+ * Excel Function:
+ * DELTA(a[,b])
+ *
+ * @param float $a the first number
+ * @param float $b The second number. If omitted, b is assumed to be zero.
+ *
+ * @return int
+ */
+ public static function DELTA($a, $b = 0)
+ {
+ $a = Functions::flattenSingleValue($a);
+ $b = Functions::flattenSingleValue($b);
+
+ return (int) ($a == $b);
+ }
+
+ /**
+ * GESTEP.
+ *
+ * Excel Function:
+ * GESTEP(number[,step])
+ *
+ * Returns 1 if number >= step; returns 0 (zero) otherwise
+ * Use this function to filter a set of values. For example, by summing several GESTEP
+ * functions you calculate the count of values that exceed a threshold.
+ *
+ * @param float $number the value to test against step
+ * @param float $step The threshold value.
+ * If you omit a value for step, GESTEP uses zero.
+ *
+ * @return int
+ */
+ public static function GESTEP($number, $step = 0)
+ {
+ $number = Functions::flattenSingleValue($number);
+ $step = Functions::flattenSingleValue($step);
+
+ return (int) ($number >= $step);
+ }
+
+ //
+ // Private method to calculate the erf value
+ //
+ private static $twoSqrtPi = 1.128379167095512574;
+
+ public static function erfVal($x)
+ {
+ if (abs($x) > 2.2) {
+ return 1 - self::erfcVal($x);
+ }
+ $sum = $term = $x;
+ $xsqr = ($x * $x);
+ $j = 1;
+ do {
+ $term *= $xsqr / $j;
+ $sum -= $term / (2 * $j + 1);
+ ++$j;
+ $term *= $xsqr / $j;
+ $sum += $term / (2 * $j + 1);
+ ++$j;
+ if ($sum == 0.0) {
+ break;
+ }
+ } while (abs($term / $sum) > Functions::PRECISION);
+
+ return self::$twoSqrtPi * $sum;
+ }
+
+ /**
+ * Validate arguments passed to the bitwise functions.
+ *
+ * @param mixed $value
+ *
+ * @return int
+ */
+ private static function validateBitwiseArgument($value)
+ {
+ $value = Functions::flattenSingleValue($value);
+
+ if (is_int($value)) {
+ return $value;
+ } elseif (is_numeric($value)) {
+ if ($value == (int) ($value)) {
+ $value = (int) ($value);
+ if (($value > 2 ** 48 - 1) || ($value < 0)) {
+ throw new Exception(Functions::NAN());
+ }
+
+ return $value;
+ }
+
+ throw new Exception(Functions::NAN());
+ }
+
+ throw new Exception(Functions::VALUE());
+ }
+
+ /**
+ * BITAND.
+ *
+ * Returns the bitwise AND of two integer values.
+ *
+ * Excel Function:
+ * BITAND(number1, number2)
+ *
+ * @param int $number1
+ * @param int $number2
+ *
+ * @return int|string
+ */
+ public static function BITAND($number1, $number2)
+ {
+ try {
+ $number1 = self::validateBitwiseArgument($number1);
+ $number2 = self::validateBitwiseArgument($number2);
+ } catch (Exception $e) {
+ return $e->getMessage();
+ }
+
+ return $number1 & $number2;
+ }
+
+ /**
+ * BITOR.
+ *
+ * Returns the bitwise OR of two integer values.
+ *
+ * Excel Function:
+ * BITOR(number1, number2)
+ *
+ * @param int $number1
+ * @param int $number2
+ *
+ * @return int|string
+ */
+ public static function BITOR($number1, $number2)
+ {
+ try {
+ $number1 = self::validateBitwiseArgument($number1);
+ $number2 = self::validateBitwiseArgument($number2);
+ } catch (Exception $e) {
+ return $e->getMessage();
+ }
+
+ return $number1 | $number2;
+ }
+
+ /**
+ * BITXOR.
+ *
+ * Returns the bitwise XOR of two integer values.
+ *
+ * Excel Function:
+ * BITXOR(number1, number2)
+ *
+ * @param int $number1
+ * @param int $number2
+ *
+ * @return int|string
+ */
+ public static function BITXOR($number1, $number2)
+ {
+ try {
+ $number1 = self::validateBitwiseArgument($number1);
+ $number2 = self::validateBitwiseArgument($number2);
+ } catch (Exception $e) {
+ return $e->getMessage();
+ }
+
+ return $number1 ^ $number2;
+ }
+
+ /**
+ * BITLSHIFT.
+ *
+ * Returns the number value shifted left by shift_amount bits.
+ *
+ * Excel Function:
+ * BITLSHIFT(number, shift_amount)
+ *
+ * @param int $number
+ * @param int $shiftAmount
+ *
+ * @return int|string
+ */
+ public static function BITLSHIFT($number, $shiftAmount)
+ {
+ try {
+ $number = self::validateBitwiseArgument($number);
+ } catch (Exception $e) {
+ return $e->getMessage();
+ }
+
+ $shiftAmount = Functions::flattenSingleValue($shiftAmount);
+
+ $result = $number << $shiftAmount;
+ if ($result > 2 ** 48 - 1) {
+ return Functions::NAN();
+ }
+
+ return $result;
+ }
+
+ /**
+ * BITRSHIFT.
+ *
+ * Returns the number value shifted right by shift_amount bits.
+ *
+ * Excel Function:
+ * BITRSHIFT(number, shift_amount)
+ *
+ * @param int $number
+ * @param int $shiftAmount
+ *
+ * @return int|string
+ */
+ public static function BITRSHIFT($number, $shiftAmount)
+ {
+ try {
+ $number = self::validateBitwiseArgument($number);
+ } catch (Exception $e) {
+ return $e->getMessage();
+ }
+
+ $shiftAmount = Functions::flattenSingleValue($shiftAmount);
+
+ return $number >> $shiftAmount;
+ }
+
+ /**
+ * ERF.
+ *
+ * Returns the error function integrated between the lower and upper bound arguments.
+ *
+ * Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments,
+ * the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
+ * improved, so that it can now calculate the function for both positive and negative ranges.
+ * PhpSpreadsheet follows Excel 2010 behaviour, and accepts negative arguments.
+ *
+ * Excel Function:
+ * ERF(lower[,upper])
+ *
+ * @param float $lower lower bound for integrating ERF
+ * @param float $upper upper bound for integrating ERF.
+ * If omitted, ERF integrates between zero and lower_limit
+ *
+ * @return float|string
+ */
+ public static function ERF($lower, $upper = null)
+ {
+ $lower = Functions::flattenSingleValue($lower);
+ $upper = Functions::flattenSingleValue($upper);
+
+ if (is_numeric($lower)) {
+ if ($upper === null) {
+ return self::erfVal($lower);
+ }
+ if (is_numeric($upper)) {
+ return self::erfVal($upper) - self::erfVal($lower);
+ }
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * ERFPRECISE.
+ *
+ * Returns the error function integrated between the lower and upper bound arguments.
+ *
+ * Excel Function:
+ * ERF.PRECISE(limit)
+ *
+ * @param float $limit bound for integrating ERF
+ *
+ * @return float|string
+ */
+ public static function ERFPRECISE($limit)
+ {
+ $limit = Functions::flattenSingleValue($limit);
+
+ return self::ERF($limit);
+ }
+
+ //
+ // Private method to calculate the erfc value
+ //
+ private static $oneSqrtPi = 0.564189583547756287;
+
+ private static function erfcVal($x)
+ {
+ if (abs($x) < 2.2) {
+ return 1 - self::erfVal($x);
+ }
+ if ($x < 0) {
+ return 2 - self::ERFC(-$x);
+ }
+ $a = $n = 1;
+ $b = $c = $x;
+ $d = ($x * $x) + 0.5;
+ $q1 = $q2 = $b / $d;
+ $t = 0;
+ do {
+ $t = $a * $n + $b * $x;
+ $a = $b;
+ $b = $t;
+ $t = $c * $n + $d * $x;
+ $c = $d;
+ $d = $t;
+ $n += 0.5;
+ $q1 = $q2;
+ $q2 = $b / $d;
+ } while ((abs($q1 - $q2) / $q2) > Functions::PRECISION);
+
+ return self::$oneSqrtPi * exp(-$x * $x) * $q2;
+ }
+
+ /**
+ * ERFC.
+ *
+ * Returns the complementary ERF function integrated between x and infinity
+ *
+ * Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument,
+ * the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
+ * improved, so that it can now calculate the function for both positive and negative x values.
+ * PhpSpreadsheet follows Excel 2010 behaviour, and accepts nagative arguments.
+ *
+ * Excel Function:
+ * ERFC(x)
+ *
+ * @param float $x The lower bound for integrating ERFC
+ *
+ * @return float|string
+ */
+ public static function ERFC($x)
+ {
+ $x = Functions::flattenSingleValue($x);
+
+ if (is_numeric($x)) {
+ return self::erfcVal($x);
+ }
+
+ return Functions::VALUE();
+ }
+
+ /**
+ * getConversionGroups
+ * Returns a list of the different conversion groups for UOM conversions.
+ *
+ * @return array
+ */
+ public static function getConversionGroups()
+ {
+ $conversionGroups = [];
+ foreach (self::$conversionUnits as $conversionUnit) {
+ $conversionGroups[] = $conversionUnit['Group'];
+ }
+
+ return array_merge(array_unique($conversionGroups));
+ }
+
+ /**
+ * getConversionGroupUnits
+ * Returns an array of units of measure, for a specified conversion group, or for all groups.
+ *
+ * @param string $group The group whose units of measure you want to retrieve
+ *
+ * @return array
+ */
+ public static function getConversionGroupUnits($group = null)
+ {
+ $conversionGroups = [];
+ foreach (self::$conversionUnits as $conversionUnit => $conversionGroup) {
+ if (($group === null) || ($conversionGroup['Group'] == $group)) {
+ $conversionGroups[$conversionGroup['Group']][] = $conversionUnit;
+ }
+ }
+
+ return $conversionGroups;
+ }
+
+ /**
+ * getConversionGroupUnitDetails.
+ *
+ * @param string $group The group whose units of measure you want to retrieve
+ *
+ * @return array
+ */
+ public static function getConversionGroupUnitDetails($group = null)
+ {
+ $conversionGroups = [];
+ foreach (self::$conversionUnits as $conversionUnit => $conversionGroup) {
+ if (($group === null) || ($conversionGroup['Group'] == $group)) {
+ $conversionGroups[$conversionGroup['Group']][] = [
+ 'unit' => $conversionUnit,
+ 'description' => $conversionGroup['Unit Name'],
+ ];
+ }
+ }
+
+ return $conversionGroups;
+ }
+
+ /**
+ * getConversionMultipliers
+ * Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM().
+ *
+ * @return array of mixed
+ */
+ public static function getConversionMultipliers()
+ {
+ return self::$conversionMultipliers;
+ }
+
+ /**
+ * CONVERTUOM.
+ *
+ * Converts a number from one measurement system to another.
+ * For example, CONVERT can translate a table of distances in miles to a table of distances
+ * in kilometers.
+ *
+ * Excel Function:
+ * CONVERT(value,fromUOM,toUOM)
+ *
+ * @param float $value the value in fromUOM to convert
+ * @param string $fromUOM the units for value
+ * @param string $toUOM the units for the result
+ *
+ * @return float|string
+ */
+ public static function CONVERTUOM($value, $fromUOM, $toUOM)
+ {
+ $value = Functions::flattenSingleValue($value);
+ $fromUOM = Functions::flattenSingleValue($fromUOM);
+ $toUOM = Functions::flattenSingleValue($toUOM);
+
+ if (!is_numeric($value)) {
+ return Functions::VALUE();
+ }
+ $fromMultiplier = 1.0;
+ if (isset(self::$conversionUnits[$fromUOM])) {
+ $unitGroup1 = self::$conversionUnits[$fromUOM]['Group'];
+ } else {
+ $fromMultiplier = substr($fromUOM, 0, 1);
+ $fromUOM = substr($fromUOM, 1);
+ if (isset(self::$conversionMultipliers[$fromMultiplier])) {
+ $fromMultiplier = self::$conversionMultipliers[$fromMultiplier]['multiplier'];
+ } else {
+ return Functions::NA();
+ }
+ if ((isset(self::$conversionUnits[$fromUOM])) && (self::$conversionUnits[$fromUOM]['AllowPrefix'])) {
+ $unitGroup1 = self::$conversionUnits[$fromUOM]['Group'];
+ } else {
+ return Functions::NA();
+ }
+ }
+ $value *= $fromMultiplier;
+
+ $toMultiplier = 1.0;
+ if (isset(self::$conversionUnits[$toUOM])) {
+ $unitGroup2 = self::$conversionUnits[$toUOM]['Group'];
+ } else {
+ $toMultiplier = substr($toUOM, 0, 1);
+ $toUOM = substr($toUOM, 1);
+ if (isset(self::$conversionMultipliers[$toMultiplier])) {
+ $toMultiplier = self::$conversionMultipliers[$toMultiplier]['multiplier'];
+ } else {
+ return Functions::NA();
+ }
+ if ((isset(self::$conversionUnits[$toUOM])) && (self::$conversionUnits[$toUOM]['AllowPrefix'])) {
+ $unitGroup2 = self::$conversionUnits[$toUOM]['Group'];
+ } else {
+ return Functions::NA();
+ }
+ }
+ if ($unitGroup1 != $unitGroup2) {
+ return Functions::NA();
+ }
+
+ if (($fromUOM == $toUOM) && ($fromMultiplier == $toMultiplier)) {
+ // We've already factored $fromMultiplier into the value, so we need
+ // to reverse it again
+ return $value / $fromMultiplier;
+ } elseif ($unitGroup1 == 'Temperature') {
+ if (($fromUOM == 'F') || ($fromUOM == 'fah')) {
+ if (($toUOM == 'F') || ($toUOM == 'fah')) {
+ return $value;
+ }
+ $value = (($value - 32) / 1.8);
+ if (($toUOM == 'K') || ($toUOM == 'kel')) {
+ $value += 273.15;
+ }
+
+ return $value;
+ } elseif (
+ (($fromUOM == 'K') || ($fromUOM == 'kel')) &&
+ (($toUOM == 'K') || ($toUOM == 'kel'))
+ ) {
+ return $value;
+ } elseif (
+ (($fromUOM == 'C') || ($fromUOM == 'cel')) &&
+ (($toUOM == 'C') || ($toUOM == 'cel'))
+ ) {
+ return $value;
+ }
+ if (($toUOM == 'F') || ($toUOM == 'fah')) {
+ if (($fromUOM == 'K') || ($fromUOM == 'kel')) {
+ $value -= 273.15;
+ }
+
+ return ($value * 1.8) + 32;
+ }
+ if (($toUOM == 'C') || ($toUOM == 'cel')) {
+ return $value - 273.15;
+ }
+
+ return $value + 273.15;
+ }
+
+ return ($value * self::$unitConversions[$unitGroup1][$fromUOM][$toUOM]) / $toMultiplier;
+ }
+}
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