asin.php

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<?php

namespace Complex;

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

        $square = multiply($complex, $complex);
        $invsqrt = new Complex(1.0);
        $invsqrt = subtract($invsqrt, $square);
        $invsqrt = sqrt($invsqrt);
        $adjust = new Complex(
            $invsqrt->getReal() - $complex->getImaginary(),
            $invsqrt->getImaginary() + $complex->getReal()
        );
        $log = ln($adjust);

        return new Complex(
            $log->getImaginary(),
            -1 * $log->getReal()
        );
    }
}