log

constexpr double log(const Complex &z) noexcept

Returns the complex natural logarithm function [1] of a complex number \(z\).

Parameters

const Complex &z

A complex number.

Returns

type Complex

A complex number.

The logarithm of a complex number is defined as:

\[\DeclareMathOperator\arg{arg} \log(z) = \ln(|z|) + i\arg(z)\]

Example

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

Output:

1.60944 + 0.927295j

References