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Erf.php
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20260722_120325.php
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<?php namespace PhpOffice\PhpSpreadsheet\Calculation\Engineering; use PhpOffice\PhpSpreadsheet\Calculation\ArrayEnabled; use PhpOffice\PhpSpreadsheet\Calculation\Functions; use PhpOffice\PhpSpreadsheet\Calculation\Information\ExcelError; class Erf { use ArrayEnabled; private const TWO_SQRT_PI = 1.128379167095512574; /** * 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 mixed $lower Lower bound float for integrating ERF * Or can be an array of values * @param mixed $upper Upper bound float for integrating ERF. * If omitted, ERF integrates between zero and lower_limit * Or can be an array of values * * @return array<mixed>|float|string 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 ERF(mixed $lower, mixed $upper = null): array|float|string { if (is_array($lower) || is_array($upper)) { return self::evaluateArrayArguments([self::class, __FUNCTION__], $lower, $upper); } if (is_numeric($lower)) { if ($upper === null) { return self::erfValue($lower); } if (is_numeric($upper)) { return self::erfValue($upper) - self::erfValue($lower); } } return ExcelError::VALUE(); } /** * ERFPRECISE. * * Returns the error function integrated between the lower and upper bound arguments. * * Excel Function: * ERF.PRECISE(limit) * * @param mixed $limit Float bound for integrating ERF, other bound is zero * Or can be an array of values * * @return array<mixed>|float|string 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 ERFPRECISE(mixed $limit) { if (is_array($limit)) { return self::evaluateSingleArgumentArray([self::class, __FUNCTION__], $limit); } return self::ERF($limit); } private static function makeFloat(mixed $value): float { return is_numeric($value) ? ((float) $value) : 0.0; } /** * Method to calculate the erf value. */ public static function erfValue(float|int|string $value): float { $value = (float) $value; if (abs($value) > 2.2) { return 1 - self::makeFloat(ErfC::ERFC($value)); } $sum = $term = $value; $xsqr = ($value * $value); $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::TWO_SQRT_PI * $sum; } }