norm() function in C++ with Examples

The norm() function is defined in the complex header file. This function is used to return the squared magnitude of the complex number z. Syntax:

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

Parameter:

• z: It represents the given complex number.

Return: It returns the squared magnitude of the complex number. 

Time Complexity: O(1)

Auxiliary Space: O(1)

Below programs illustrate the above function:- 

Example 1:-

CPP

// C++ program to demonstrate
// example of norm() function.

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

// driver function
int main ()
{
// initializing the complex: (5.0+12.0i)
complex<double> complexnumber (5.0, 12.0);

// use of norm()function
cout << "The norm of " << complexnumber << " is ";
cout << norm(complexnumber) << endl;

return 0;
}

Output:

The norm of (5,12) is 169

Example 2:-

CPP

// C++ program to demonstrate
// example of norm() function.

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

// driver function
int main ()
{
// initializing the complex: (4.0+3.0i)
complex<double> complexnumber (4.0, 3.0);

// use of norm()function
cout << "The norm of " << complexnumber << " is ";
cout << norm(complexnumber) << endl;

return 0;
}

Output:

The norm of (4,3) is 25