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Showing content from https://cplusplus.com/reference/complex/arg/ below:

function template

std::arg complex (1)

template<class T> T arg (const complex<T>& x);

complex (1)

template<class T> T arg (const complex<T>& x);

arithmetic type (2)

double arg (ArithmeticType x);  // additional overloads

Phase angle of complex

Returns the phase angle (or angular component) of the complex number x, expressed in radians.

The phase angle of a complex number is the angle the theoretical vector to (real,imag) forms with the real axis (i.e., its arc tangent). It returns the same as:

atan2(x.imag(),x.real());

Only available for instantiations of

complex

Additional overloads

are provided for arguments of any

fundamental arithmetic type

: In this case, the function assumes the value has a zero

imaginary

component.

The return type is

double

, except if the argument is

float

long double

(in which case, the return type is of the same type as the argument).

Parameters

x: Complex value.

Return value Phase angle of x.
T is the type of the components of the complex type (i.e., its value type).

Example

// arg complex example
#include <iostream>     // std::cout
#include <complex>      // std::complex, std::abs, std::arg

int main ()
{
  std::complex<double> mycomplex (3.0,4.0);

  std::cout << "The polar form of " << mycomplex;
  std::cout << " is " << std::abs(mycomplex) << "*e^i*" << std::arg(mycomplex) << "rad\n";

  return 0;
}

Output:

The polar form of (3,4) is 5*e^i*0.927295rad