complexNumBasicOperators.py

import math
class Complex:
    def __init__(self, re=0, im=0):
        self.re = re
        self.im = im

    def __add__(self, other):
        if isinstance(other, int) or isinstance(other, float):
            return Complex(self.re + other,self.im)
        elif  isinstance(other, Complex):
            return Complex(self.re + other.re , self.im + other.im)
        else:
            raise TypeError
        
    def __sub__(self, other):
        if isinstance(other, int) or isinstance(other, float):
            return Complex(self.re - other,self.im)
        elif  isinstance(other, Complex):
            return Complex(self.re - other.re, self.im - other.im)
        else:
            raise TypeError

    def __mul__(self, other):
        if isinstance(other, int) or isinstance(other, float):
            return Complex(self.re * other, self.im * other)
        elif isinstance(other, Complex):
        #   (a+bi)*(c+di) = ac + adi +bic -bd
            return Complex(self.re * other.re - self.im * other.im, 
                           self.re * other.im + self.im * other.re)
        else:
            raise TypeError
            
    def __truediv__(self, other):
        if isinstance(other, int) or isinstance(other, float):
            return Complex(self.re / other, self.im / other)
        elif isinstance(other, Complex):
            x = other.re
            y = other.im
            u = self.re
            v = self.im
            repart = 1/(x**2+y**2)*(u*x + v*y)
            impart = 1/(x**2+y**2)*(v*x - u*y)
            return Complex(repart,impart)
        else:
            raise TypeError