exp

constexpr double exp(const Complex &z) noexcept

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

Parameters

const Complex &z

A complex number.

Returns

type Complex

A complex number.

The exponential of a complex number is defined as:

\[\exp(z) = \exp(x)\exp(\cos y + i\sin y)\]

for \(\Re(z) = x\) and \(\Im(z) = y\).

Example

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

Output:

-13.1288 - 15.2008j

References