asin

pub fn asin(z: anytype) Complex(@TypeOf(z.re, z.im)) {
    const T = @TypeOf(z.re, z.im);
    const x = z.re;
    const y = z.im;

    const p = Complex(T).init(1.0 - (x - y) * (x + y), -2.0 * x * y);
    const q = Complex(T).init(-y, x);
    const r = cmath.log(q.add(cmath.sqrt(p)));

    return Complex(T).init(r.im, -r.re);
}