Q:

Python - how can I reference a class variable or method from within the __init__ method?

I have a hierarchy of objects in a python module as follows:
class BaseObject(object):
    initialized = False

    def __init__(self):
        self._initialize()

    @classmethod
    def _initialize(cls):
        print "cls.initialized = "+str(cls.initialized)
        if not cls.initialized:
            cls.x = 1
            cls.initialized = True

class ObjectOne(BaseObject):
    @classmethod
    def double_x(cls):
        cls.x = cls.x * 2
        print cls.x

class ObjectTwo(BaseObject):
    @classmethod
    def triple_x(cls):
        cls.x = cls.x * 3
        print cls.x

if __name__ == '__main__':
    obj_1 = ObjectOne()
    obj_1.double_x()
    obj_2 = ObjectTwo()
    obj_2.triple_x()

When I run this module I would like the output to be:
cls.initialized = False
2
cls.initialized = True
6

But what I get is:
cls.initialized = False
2
cls.initialized = False
3

What do I not understand?

A:

You need to use the full classname to set class variables. cls in double_x and tripple_x will refer to subclasses (ObjectOne and ObjectTwo, respectively), and setting attributes on those subclasses will store new variables, not alter the class variable BaseObject.x. You can only alter base class variables by directly accessing them.
Using your code, we get:
>>> obj_1 = ObjectOne()
cls.initialized = False
>>> obj_1.double_x()
2
>>> obj_2 = ObjectTwo()
cls.initialized = False
>>> obj_2.triple_x()
3
>>> BaseObject.x
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
AttributeError: type object 'BaseObject' has no attribute 'x'
>>> BaseObject.initialized, ObjectOne.initialized, ObjectOne.x, ObjectTwo.initialized, ObjectTwo.x
(False, True, 2, True, 3)

What happened is that in _initialize(), cls was set to ObjectOne or ObjectTwo, depending on what instance you created, and each subclass got their own copies of the variables initialized and x.
Using BaseObject._initialize() (to ensure that BaseObject is initialized, and not the subclasses) gives:
>>> obj_1 = ObjectOne()
cls.initialized = False
>>> obj_1.double_x()
2
>>> obj_2 = ObjectTwo()
cls.initialized = True
>>> obj_2.triple_x()
3
>>> BaseObject.x, ObjectOne.x, ObjectTwo.x
(1, 2, 3)
>>> BaseObject.initialized
True
>>> 'x' in ObjectOne.__dict__
True
>>> 'initialized' in ObjectOne.__dict__
False
>>> 'initialized' in ObjectTwo.__dict__
False

So now _initialize() used BaseObject as the target to set initialized and the initial value for x, but double_x and triple_x still used their own subclasses to set the new value of x and are not sharing that value through BaseObject.
The only option you have to set class variables on a specific base class is to refer to it directly in all class methods:
class BaseObject(object):
    initialized = False
    def __init__(self):
        BaseObject._initialize()

    @classmethod
    def _initialize(cls):
        print "cls.initialized = "+str(cls.initialized)
        if not cls.initialized:
            cls.x = 1
            cls.initialized = True
class ObjectOne(BaseObject):
    @classmethod
    def double_x(cls):
        BaseObject.x = BaseObject.x * 2
        print cls.x

class ObjectTwo(BaseObject):
    @classmethod
    def triple_x(cls):
        BaseObject.x = BaseObject.x * 3
        print cls.x

which would give:
>>> obj_1 = ObjectOne()
cls.initialized = False
>>> obj_1.double_x()
2
>>> obj_2 = ObjectTwo()
cls.initialized = True
>>> obj_2.triple_x()
6

Note that I called BaseObject._initialize() to make sure that cls is BasObject and not a subclass. Then, when setting x the double_x and triple_x methods still refer directly to BaseObject to ensure that the variable is set directly on the base class. When reading the value of x the above example still uses cls, which uses the class MRO to find x on the base class when not set locally.

