atan

constexpr Complex atan(const Complex &z) noexcept

Returns the complex inverse tan [1] of a complex number \(z\).

Parameters

const Complex &z

A complex number.

Returns

type Complex

A complex number.

The inverse tangent function of a complex number is defined as:

\[\tan^{-1}z = \frac{1}{2}i(\log((1 - iz) - \log(1 + iz)))\]

Example

Complex z = 3 + 4_j;
std::cout << atan(z) << "\n";

Output:

1.44831 + 0.158997j

References