Python Division Of Complex Numbers Without Using Built In Types And Operators

I have to implement a class called ComplexNumbers which is representing a complex number and I'm not allowed to use the built in types for that. I already have overwritten the oper

Solution 1:

I think this should suffice:

def conjugate(self):
    # return a - ib

def __truediv__(self, other):
    other_into_conjugate = other * other.conjugate()
    new_numerator = self * other.conjugate()
    # other_into_conjugate will be a real number
    # say, x. If a and b are the new real and imaginary
    # parts of the new_numerator, return (a/x) + i(b/x)

__floordiv__ = __truediv__

Solution 2:

Thanks to the tips of @PatrickHaugh I was able to solve the problem. Here is my solution:

  def __div__(self, other):
        conjugation = ComplexNumber(other.re, -other.im)
        denominatorRes = other * conjugation
        # denominator has only real part
        denominator = denominatorRes.re
        nominator = self * conjugation
        return ComplexNumber(nominator.re/denominator, nominator.im/denominator)

Calculating the conjugation and than the denominator which has no imaginary part.