exp() function for complex number in C++

The exp() function for complex number is defined in the complex header file. This function is the complex version of the exp() function. This function is used to calculate the base e exponential of a complex number z and returns the base-e exponential of complex number z. Syntax:

template<class T> complex<T> 
       exp (const complex<T>& z );

Parameter: This method takes a mandatory parameter z which represents the complex number. Return value: This function returns the base-e exponential of complex number z. Below programs illustrate the exp() function in C++: Example 1:-

cpp

// c++ program to demonstrate
// example of exp() function.

#include <bits/stdc++.h>
using namespace std;

// driver program
int main()
{
    // initializing the complex: (-1.0+0.0i)
    complex<double> complexnumber(-1.0, 0.0);

    // use of exp() function for complex number
    cout << "The exp of "
        << complexnumber
        << " is "
        << exp(complexnumber)
        << endl;

    return 0;
}

Output:

The exp of (-1,0) is (0.367879,0)

Time Complexity: O(1)

Auxiliary Space: O(1)

Example 2:-

cpp

// c++ program to demonstrate
// example of exp() function.

#include <bits/stdc++.h>
using namespace std;

// driver program
int main()
{
    // initializing the complex: (0.0 + 1.0i)
    complex<double> complexnumber(0.0, 1.0);

    // use of exp() function for complex number
    cout << "The exp of "
        << complexnumber
        << " is "
        << exp(complexnumber)
        << endl;

    return 0;
}

Output:

The exp of (0,1) is (0.540302,0.841471)

Time Complexity: O(1)

Auxiliary Space: O(1)