def __new__(cls, sets, polar=False):
        from sympy import sin, cos

        x, y, r, theta = symbols('x, y, r, theta', cls=Dummy)
        I = S.ImaginaryUnit
        polar = sympify(polar)

        # Rectangular Form
        if polar == False:
            if all(_a.is_FiniteSet for _a in sets.args) and (len(sets.args) == 2):

                # ** ProductSet of FiniteSets in the Complex Plane. **
                # For Cases like ComplexRegion({2, 4}*{3}), It
                # would return {2 + 3*I, 4 + 3*I}
                complex_num = []
                for x in sets.args[0]:
                    for y in sets.args[1]:
                        complex_num.append(x + I*y)
                obj = FiniteSet(*complex_num)
            else:
                obj = ImageSet.__new__(cls, Lambda((x, y), x + I*y), sets)
            obj._variables = (x, y)
            obj._expr = x + I*y

        # Polar Form
        elif polar == True:
            new_sets = []
            # sets is Union of ProductSets
            if not sets.is_ProductSet:
                for k in sets.args:
                    new_sets.append(k)
            # sets is ProductSets
            else:
                new_sets.append(sets)
            # Normalize input theta
            for k, v in enumerate(new_sets):
                from sympy.sets import ProductSet
                new_sets[k] = ProductSet(v.args[0],
                                         normalize_theta_set(v.args[1]))
            sets = Union(*new_sets)
            obj = ImageSet.__new__(cls, Lambda((r, theta),
                                   r*(cos(theta) + I*sin(theta))),
                                   sets)
            obj._variables = (r, theta)
            obj._expr = r*(cos(theta) + I*sin(theta))

        else:
            raise ValueError("polar should be either True or False")

        obj._sets = sets
        obj._polar = polar
        return obj
dataset/ETHPy150Open sympy/sympy/sympy/sets/fancysets.py/ComplexRegion.__new__/original