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C++ Complex::norm() function

The C++ std::complex::norm() function is used to return the squared magnitude of the complex number, calculated as the sum of the squares of its real and imaginary parts. For example, a=x+yi, where x and y are real and imaginary numbers, then the norm is calculated as a²+b².

Following is the syntax for std::complex::norm() function.

norm (const complex<T>& x);
double norm (ArithmeticType x);

• x − It indicates the complex value.

It returns the norm value of the complex number x.

none

In the following example, we are going to consider the basic usage of the norm() function.

#include <iostream>
#include <complex>
int main() {
   std::complex < double > a(1.1, 1.3);
   double x = std::norm(a);
   std::cout << "Result : " << x << std::endl;
   return 0;
}

Output of the above code is as follows −

Result : 2.9

Consider the following example, where we are going to use the norm() with the negative values.

#include <iostream>
#include <complex>
int main() {
   std::complex < double > x(-2.1, -3.2);
   double y = std::norm(x);
   std::cout << "Result : " << y << std::endl;
   return 0;
}

Following is the output of the above code −

Result : 14.65

In the following example, we are going to use the norm() on the real part.

#include <iostream>
#include <complex>
int main() {
   std::complex < double > a(2.3, 0.0);
   double b = std::norm(a);
   std::cout << "Result : " << b << std::endl;
   return 0;
}

If we run the above code it will generate the following output −

Result : 5.29

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