atan.php

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<?php

namespace Complex;

//include_once 'Math/Complex.php';
//include_once 'Math/ComplexOp.php';

if (!function_exists(__NAMESPACE__ . '\\atan')) {
    function atan($complex): Complex
    {
        $complex = Complex::validateComplexArgument($complex);

        if ($complex->isReal()) {
            return new Complex(\atan($complex->getReal()));
        }

        $t1Value = new Complex(-1 * $complex->getImaginary(), $complex->getReal());
        $uValue = new Complex(1, 0);

        $d1Value = clone $uValue;
        $d1Value = subtract($d1Value, $t1Value);
        $d2Value = add($t1Value, $uValue);
        $uResult = $d1Value->divideBy($d2Value);
        $uResult = ln($uResult);

        return new Complex(
            (($uResult->getImaginary() == M_PI) ? -M_PI : $uResult->getImaginary()) * -0.5,
            $uResult->getReal() * 0.5,
            $complex->getSuffix()
        );
    }
}