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Showing content from https://www.tutorialspoint.com/cpp_standard_library/cpp_complex_abs.htm below:

C++ Complex::abs() function

The C++ std::complex::abs() function is used to get the magnitude of a complex number. It returns a floating point number representing the distance of the complex number from the origin in the complex plane.

This is calculated as the square root of the sum of the squares of the real and imaginary parts.

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

abs (const complex<T>& x);

• x − It indicates the complex value.

It returns the absolute value of the complex number x.

none

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

#include <iostream>
#include <complex>
#include <cmath>
int main() {
   std::complex < double > a(1.1, 1.2);
   double x = std::abs(a);
   std::cout << "Result : " << x << std::endl;
   return 0;
}

Output of the above code is as follows −

Result : 1.62788

Consider the following example, where we are going to take the negative value and applying the abs().

#include <iostream>
#include <complex>
#include <cmath>
int main() {
   std::complex < double > x(-2.1, -3.1);
   double a = std::abs(x);
   std::cout << "Result : " << a << std::endl;
   return 0;
}

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

Result : 3.74433

Let's look at the following example, where we are going to the consider the real part and applying the abs().

#include <iostream>
#include <complex>
#include <cmath>
int main() {
   std::complex < double > y(1.0, 0.0);
   double b = std::abs(y);
   std::cout << "Result : " << b << std::endl;
   return 0;
}

Following is the output of the above code −

Result : 1

complex.htm

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