in c++ A complex number has the form a+bi , can be expressed as the ordered pair of real numbers (a,b). The class represents the real and imaginary parts as double precision values. Provide a...

in c++

A complex number has the form a+bi , can be expressed as the
ordered pair of real numbers (a,b). The class represents the real and
imaginary parts as double precision values.
Provide a constructor that enables an object of this class to be
initialized when it is instantiated. The constructor should contain
default values.
Provide Public member functions for each of the following
arithmetic’s functions (addition – subtraction – multiplication –
division), a complex absolute value operation, printing the number in
the form (a,b), printing the real part , printing the imaginary part and
final overload the == operator to allow comparisons of two complex
numbers.
Include any additional operations that you think would be useful for
a complex number class.
Design, implement, and test your class.