log() function for complex number in C++

The log() function for complex number is defined in the complex header file. This function is the complex version of the log() function. This function is used to calculate the complex natural log of a complex number z i.e with base e and returns the natural log of complex number z.

Syntax:

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

Parameter: This method takes a mandatory parameter z which represents the complex number.

Return value: This function returns the natural log of complex number z.

Below programs illustrate the log() function in C++:

Example 1:-

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// c++ program to demonstrate
// example of log() 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 log() function for complex number
    cout << "The log of "
         << complexnumber
         << " is "
         << log(complexnumber)
         << endl;
  
    return 0;
}

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Output:

The log of (-1,0) is (0,3.14159)

Example 2:-

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// c++ program to demonstrate
// example of log() 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 log() function for complex number
    cout << "The log of "
         << complexnumber
         << " is "
         << log(complexnumber)
         << endl;
  
    return 0;
}

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Output:

The log of (-1,-0) is (0,-3.14159)


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