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<?php /** * * Function code for the complex atanh() function * * @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex) * @license https://opensource.org/licenses/MIT MIT */ namespace Complex; /** * Returns the inverse hyperbolic tangent of a complex number. * * @param Complex|mixed $complex Complex number or a numeric value. * @return Complex The inverse hyperbolic tangent of the complex argument. * @throws Exception If argument isn't a valid real or complex number. */ if (!function_exists(__NAMESPACE__ . '\\atanh')) { function atanh($complex): Complex { $complex = Complex::validateComplexArgument($complex); if ($complex->isReal()) { $real = $complex->getReal(); if ($real >= -1.0 && $real <= 1.0) { return new Complex(\atanh($real)); } else { return new Complex(\atanh(1 / $real), (($real < 0.0) ? M_PI_2 : -1 * M_PI_2)); } } $iComplex = clone $complex; $iComplex = $iComplex->invertImaginary() ->reverse(); return atan($iComplex) ->invertReal() ->reverse(); } }