Complex numbers with fractions

Question

So I need to hold something like this:

complex(fractions.Fraction(1, 3), fractions.Fraction(1, 3))

but python is changing fraction to floating point, and since I don't want to use floating point and stay with fractions is there any other implementation of complex numbers that can do what I want? or maybe there is a possibile way to do a small change to current implementation?

Answer 1

You could just use sympy.

from sympy import sympify, I, re, im, expand

z = sympify(1)/3+I/3

Notice that I had to use sympify(1) since otherwise 1/3 would evaluate to a float rather than a sympy expression. Now you can do calculations with complex numbers like so

re(z) -> 1/3

im(z) -> 1/3

z*z= -> (1/3+𝑖/3)**2

expand(z*z) -> (2*i)/9