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Mass Deface
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PhpSpreadsheet
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Engineering
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File / Folder
Size
Action
.
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type
file
dir
+File/Dir
BesselI.php
4.659KB
edt
ren
BesselJ.php
5.783KB
edt
ren
BesselK.php
4.242KB
edt
ren
BesselY.php
4.801KB
edt
ren
BitWise.php
8.09KB
edt
ren
Compare.php
2.891KB
edt
ren
Complex.php
4.145KB
edt
ren
ComplexFunctions.php
19.123KB
edt
ren
ComplexOperations.php
4.321KB
edt
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Constants.php
0.163KB
edt
ren
ConvertBase.php
1.928KB
edt
ren
ConvertBinary.php
7.09KB
edt
ren
ConvertDecimal.php
9.251KB
edt
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ConvertHex.php
7.545KB
edt
ren
ConvertOctal.php
7.388KB
edt
ren
ConvertUOM.php
34.951KB
edt
ren
EngineeringValidations.php
0.696KB
edt
ren
Erf.php
3.456KB
edt
ren
ErfC.php
2.394KB
edt
ren
<?php namespace PhpOffice\PhpSpreadsheet\Calculation\Engineering; use PhpOffice\PhpSpreadsheet\Calculation\ArrayEnabled; use PhpOffice\PhpSpreadsheet\Calculation\Exception; use PhpOffice\PhpSpreadsheet\Calculation\Information\ExcelError; class BesselI { use ArrayEnabled; /** * 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) * * NOTE: The MS Excel implementation of the BESSELI function is still not accurate. * This code provides a more accurate calculation * * @param mixed $x A float value at which to evaluate the function. * If x is nonnumeric, BESSELI returns the #VALUE! error value. * Or can be an array of values * @param mixed $ord The integer 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 $ord < 0, BESSELI returns the #NUM! error value. * Or can be an array of values * * @return array|float|string Result, or a string containing an error * If an array of numbers is passed as an argument, then the returned result will also be an array * with the same dimensions */ public static function BESSELI($x, $ord) { if (is_array($x) || is_array($ord)) { return self::evaluateArrayArguments([self::class, __FUNCTION__], $x, $ord); } try { $x = EngineeringValidations::validateFloat($x); $ord = EngineeringValidations::validateInt($ord); } catch (Exception $e) { return $e->getMessage(); } if ($ord < 0) { return ExcelError::NAN(); } $fResult = self::calculate($x, $ord); return (is_nan($fResult)) ? ExcelError::NAN() : $fResult; } private static function calculate(float $x, int $ord): float { // special cases switch ($ord) { case 0: return self::besselI0($x); case 1: return self::besselI1($x); } return self::besselI2($x, $ord); } private static function besselI0(float $x): float { $ax = abs($x); if ($ax < 3.75) { $y = $x / 3.75; $y = $y * $y; return 1.0 + $y * (3.5156229 + $y * (3.0899424 + $y * (1.2067492 + $y * (0.2659732 + $y * (0.360768e-1 + $y * 0.45813e-2))))); } $y = 3.75 / $ax; return (exp($ax) / sqrt($ax)) * (0.39894228 + $y * (0.1328592e-1 + $y * (0.225319e-2 + $y * (-0.157565e-2 + $y * (0.916281e-2 + $y * (-0.2057706e-1 + $y * (0.2635537e-1 + $y * (-0.1647633e-1 + $y * 0.392377e-2)))))))); } private static function besselI1(float $x): float { $ax = abs($x); if ($ax < 3.75) { $y = $x / 3.75; $y = $y * $y; $ans = $ax * (0.5 + $y * (0.87890594 + $y * (0.51498869 + $y * (0.15084934 + $y * (0.2658733e-1 + $y * (0.301532e-2 + $y * 0.32411e-3)))))); return ($x < 0.0) ? -$ans : $ans; } $y = 3.75 / $ax; $ans = 0.2282967e-1 + $y * (-0.2895312e-1 + $y * (0.1787654e-1 - $y * 0.420059e-2)); $ans = 0.39894228 + $y * (-0.3988024e-1 + $y * (-0.362018e-2 + $y * (0.163801e-2 + $y * (-0.1031555e-1 + $y * $ans)))); $ans *= exp($ax) / sqrt($ax); return ($x < 0.0) ? -$ans : $ans; } /** * Sop to Scrutinizer. * * @var float */ private static $zeroPointZero = 0.0; private static function besselI2(float $x, int $ord): float { if ($x === self::$zeroPointZero) { return 0.0; } $tox = 2.0 / abs($x); $bip = 0; $ans = 0.0; $bi = 1.0; for ($j = 2 * ($ord + (int) sqrt(40.0 * $ord)); $j > 0; --$j) { $bim = $bip + $j * $tox * $bi; $bip = $bi; $bi = $bim; if (abs($bi) > 1.0e+12) { $ans *= 1.0e-12; $bi *= 1.0e-12; $bip *= 1.0e-12; } if ($j === $ord) { $ans = $bip; } } $ans *= self::besselI0($x) / $bi; return ($x < 0.0 && (($ord % 2) === 1)) ? -$ans : $ans; } }
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