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<?php namespace PhpOffice\PhpSpreadsheet\Calculation\Engineering; use PhpOffice\PhpSpreadsheet\Calculation\Functions; class ErfC { /** * 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 mixed $value The float lower bound for integrating ERFC * * @return float|string */ public static function ERFC($value) { $value = Functions::flattenSingleValue($value); if (is_numeric($value)) { return self::erfcValue($value); } return Functions::VALUE(); } // // Private method to calculate the erfc value // private static $oneSqrtPi = 0.564189583547756287; private static function erfcValue($value) { if (abs($value) < 2.2) { return 1 - Erf::erfValue($value); } if ($value < 0) { return 2 - self::ERFC(-$value); } $a = $n = 1; $b = $c = $value; $d = ($value * $value) + 0.5; $q1 = $q2 = $b / $d; do { $t = $a * $n + $b * $value; $a = $b; $b = $t; $t = $c * $n + $d * $value; $c = $d; $d = $t; $n += 0.5; $q1 = $q2; $q2 = $b / $d; } while ((abs($q1 - $q2) / $q2) > Functions::PRECISION); return self::$oneSqrtPi * exp(-$value * $value) * $q2; } }