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 | <TITLE>Metaclasses in Python 1.5</TITLE> | 
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 | <H1>Metaclasses in Python 1.5</H1> | 
 | <H2>(A.k.a. The Killer Joke :-)</H2> | 
 |  | 
 | <HR> | 
 |  | 
 | (<i>Postscript:</i> reading this essay is probably not the best way to | 
 | understand the metaclass hook described here.  See a <A | 
 | HREF="meta-vladimir.txt">message posted by Vladimir Marangozov</A> | 
 | which may give a gentler introduction to the matter.  You may also | 
 | want to search Deja News for messages with "metaclass" in the subject | 
 | posted to comp.lang.python in July and August 1998.) | 
 |  | 
 | <HR> | 
 |  | 
 | <P>In previous Python releases (and still in 1.5), there is something | 
 | called the ``Don Beaudry hook'', after its inventor and champion. | 
 | This allows C extensions to provide alternate class behavior, thereby | 
 | allowing the Python class syntax to be used to define other class-like | 
 | entities.  Don Beaudry has used this in his infamous <A | 
 | HREF="http://maigret.cog.brown.edu/pyutil/">MESS</A> package; Jim | 
 | Fulton has used it in his <A | 
 | HREF="http://www.digicool.com/releases/ExtensionClass/">Extension | 
 | Classes</A> package.  (It has also been referred to as the ``Don | 
 | Beaudry <i>hack</i>,'' but that's a misnomer.  There's nothing hackish | 
 | about it -- in fact, it is rather elegant and deep, even though | 
 | there's something dark to it.) | 
 |  | 
 | <P>(On first reading, you may want to skip directly to the examples in | 
 | the section "Writing Metaclasses in Python" below, unless you want | 
 | your head to explode.) | 
 |  | 
 | <P> | 
 |  | 
 | <HR> | 
 |  | 
 | <P>Documentation of the Don Beaudry hook has purposefully been kept | 
 | minimal, since it is a feature of incredible power, and is easily | 
 | abused.  Basically, it checks whether the <b>type of the base | 
 | class</b> is callable, and if so, it is called to create the new | 
 | class. | 
 |  | 
 | <P>Note the two indirection levels.  Take a simple example: | 
 |  | 
 | <PRE> | 
 | class B: | 
 |     pass | 
 |  | 
 | class C(B): | 
 |     pass | 
 | </PRE> | 
 |  | 
 | Take a look at the second class definition, and try to fathom ``the | 
 | type of the base class is callable.'' | 
 |  | 
 | <P>(Types are not classes, by the way.  See questions 4.2, 4.19 and in | 
 | particular 6.22 in the <A | 
 | HREF="http://www.python.org/cgi-bin/faqw.py" >Python FAQ</A> | 
 | for more on this topic.) | 
 |  | 
 | <P> | 
 |  | 
 | <UL> | 
 |  | 
 | <LI>The <b>base class</b> is B; this one's easy.<P> | 
 |  | 
 | <LI>Since B is a class, its type is ``class''; so the <b>type of the | 
 | base class</b> is the type ``class''.  This is also known as | 
 | types.ClassType, assuming the standard module <code>types</code> has | 
 | been imported.<P> | 
 |  | 
 | <LI>Now is the type ``class'' <b>callable</b>?  No, because types (in | 
 | core Python) are never callable.  Classes are callable (calling a | 
 | class creates a new instance) but types aren't.<P> | 
 |  | 
 | </UL> | 
 |  | 
 | <P>So our conclusion is that in our example, the type of the base | 
 | class (of C) is not callable.  So the Don Beaudry hook does not apply, | 
 | and the default class creation mechanism is used (which is also used | 
 | when there is no base class).  In fact, the Don Beaudry hook never | 
 | applies when using only core Python, since the type of a core object | 
 | is never callable. | 
 |  | 
 | <P>So what do Don and Jim do in order to use Don's hook?  Write an | 
 | extension that defines at least two new Python object types.  The | 
 | first would be the type for ``class-like'' objects usable as a base | 
 | class, to trigger Don's hook.  This type must be made callable. | 
 | That's why we need a second type.  Whether an object is callable | 
 | depends on its type.  So whether a type object is callable depends on | 
 | <i>its</i> type, which is a <i>meta-type</i>.  (In core Python there | 
 | is only one meta-type, the type ``type'' (types.TypeType), which is | 
 | the type of all type objects, even itself.)  A new meta-type must | 
 | be defined that makes the type of the class-like objects callable. | 
 | (Normally, a third type would also be needed, the new ``instance'' | 
 | type, but this is not an absolute requirement -- the new class type | 
 | could return an object of some existing type when invoked to create an | 
 | instance.) | 
 |  | 
 | <P>Still confused?  Here's a simple device due to Don himself to | 
 | explain metaclasses.  Take a simple class definition; assume B is a | 
 | special class that triggers Don's hook: | 
 |  | 
 | <PRE> | 
 | class C(B): | 
 |     a = 1 | 
 |     b = 2 | 
 | </PRE> | 
 |  | 
 | This can be though of as equivalent to: | 
 |  | 
 | <PRE> | 
 | C = type(B)('C', (B,), {'a': 1, 'b': 2}) | 
 | </PRE> | 
 |  | 
 | If that's too dense for you, here's the same thing written out using | 
 | temporary variables: | 
 |  | 
 | <PRE> | 
 | creator = type(B)               # The type of the base class | 
 | name = 'C'                      # The name of the new class | 
 | bases = (B,)                    # A tuple containing the base class(es) | 
 | namespace = {'a': 1, 'b': 2}    # The namespace of the class statement | 
 | C = creator(name, bases, namespace) | 
 | </PRE> | 
 |  | 
 | This is analogous to what happens without the Don Beaudry hook, except | 
 | that in that case the creator function is set to the default class | 
 | creator. | 
 |  | 
 | <P>In either case, the creator is called with three arguments.  The | 
 | first one, <i>name</i>, is the name of the new class (as given at the | 
 | top of the class statement).  The <i>bases</i> argument is a tuple of | 
 | base classes (a singleton tuple if there's only one base class, like | 
 | the example).  Finally, <i>namespace</i> is a dictionary containing | 
 | the local variables collected during execution of the class statement. | 
 |  | 
 | <P>Note that the contents of the namespace dictionary is simply | 
 | whatever names were defined in the class statement.  A little-known | 
 | fact is that when Python executes a class statement, it enters a new | 
 | local namespace, and all assignments and function definitions take | 
 | place in this namespace.  Thus, after executing the following class | 
 | statement: | 
 |  | 
 | <PRE> | 
 | class C: | 
 |     a = 1 | 
 |     def f(s): pass | 
 | </PRE> | 
 |  | 
 | the class namespace's contents would be {'a': 1, 'f': <function f | 
 | ...>}. | 
 |  | 
 | <P>But enough already about writing Python metaclasses in C; read the | 
 | documentation of <A | 
 | HREF="http://maigret.cog.brown.edu/pyutil/">MESS</A> or <A | 
 | HREF="http://www.digicool.com/papers/ExtensionClass.html" >Extension | 
 | Classes</A> for more information. | 
 |  | 
 | <P> | 
 |  | 
 | <HR> | 
 |  | 
 | <H2>Writing Metaclasses in Python</H2> | 
 |  | 
 | <P>In Python 1.5, the requirement to write a C extension in order to | 
 | write metaclasses has been dropped (though you can still do | 
 | it, of course).  In addition to the check ``is the type of the base | 
 | class callable,'' there's a check ``does the base class have a | 
 | __class__ attribute.''  If so, it is assumed that the __class__ | 
 | attribute refers to a class. | 
 |  | 
 | <P>Let's repeat our simple example from above: | 
 |  | 
 | <PRE> | 
 | class C(B): | 
 |     a = 1 | 
 |     b = 2 | 
 | </PRE> | 
 |  | 
 | Assuming B has a __class__ attribute, this translates into: | 
 |  | 
 | <PRE> | 
 | C = B.__class__('C', (B,), {'a': 1, 'b': 2}) | 
 | </PRE> | 
 |  | 
 | This is exactly the same as before except that instead of type(B), | 
 | B.__class__ is invoked.  If you have read <A HREF= | 
 | "http://www.python.org/cgi-bin/faqw.py?req=show&file=faq06.022.htp" | 
 | >FAQ question 6.22</A> you will understand that while there is a big | 
 | technical difference between type(B) and B.__class__, they play the | 
 | same role at different abstraction levels.  And perhaps at some point | 
 | in the future they will really be the same thing (at which point you | 
 | would be able to derive subclasses from built-in types). | 
 |  | 
 | <P>At this point it may be worth mentioning that C.__class__ is the | 
 | same object as B.__class__, i.e., C's metaclass is the same as B's | 
 | metaclass.  In other words, subclassing an existing class creates a | 
 | new (meta)inststance of the base class's metaclass. | 
 |  | 
 | <P>Going back to the example, the class B.__class__ is instantiated, | 
 | passing its constructor the same three arguments that are passed to | 
 | the default class constructor or to an extension's metaclass: | 
 | <i>name</i>, <i>bases</i>, and <i>namespace</i>. | 
 |  | 
 | <P>It is easy to be confused by what exactly happens when using a | 
 | metaclass, because we lose the absolute distinction between classes | 
 | and instances: a class is an instance of a metaclass (a | 
 | ``metainstance''), but technically (i.e. in the eyes of the python | 
 | runtime system), the metaclass is just a class, and the metainstance | 
 | is just an instance.  At the end of the class statement, the metaclass | 
 | whose metainstance is used as a base class is instantiated, yielding a | 
 | second metainstance (of the same metaclass).  This metainstance is | 
 | then used as a (normal, non-meta) class; instantiation of the class | 
 | means calling the metainstance, and this will return a real instance. | 
 | And what class is that an instance of?  Conceptually, it is of course | 
 | an instance of our metainstance; but in most cases the Python runtime | 
 | system will see it as an instance of a a helper class used by the | 
 | metaclass to implement its (non-meta) instances... | 
 |  | 
 | <P>Hopefully an example will make things clearer.  Let's presume we | 
 | have a metaclass MetaClass1.  It's helper class (for non-meta | 
 | instances) is callled HelperClass1.  We now (manually) instantiate | 
 | MetaClass1 once to get an empty special base class: | 
 |  | 
 | <PRE> | 
 | BaseClass1 = MetaClass1("BaseClass1", (), {}) | 
 | </PRE> | 
 |  | 
 | We can now use BaseClass1 as a base class in a class statement: | 
 |  | 
 | <PRE> | 
 | class MySpecialClass(BaseClass1): | 
 |     i = 1 | 
 |     def f(s): pass | 
 | </PRE> | 
 |  | 
 | At this point, MySpecialClass is defined; it is a metainstance of | 
 | MetaClass1 just like BaseClass1, and in fact the expression | 
 | ``BaseClass1.__class__ == MySpecialClass.__class__ == MetaClass1'' | 
 | yields true. | 
 |  | 
 | <P>We are now ready to create instances of MySpecialClass.  Let's | 
 | assume that no constructor arguments are required: | 
 |  | 
 | <PRE> | 
 | x = MySpecialClass() | 
 | y = MySpecialClass() | 
 | print x.__class__, y.__class__ | 
 | </PRE> | 
 |  | 
 | The print statement shows that x and y are instances of HelperClass1. | 
 | How did this happen?  MySpecialClass is an instance of MetaClass1 | 
 | (``meta'' is irrelevant here); when an instance is called, its | 
 | __call__ method is invoked, and presumably the __call__ method defined | 
 | by MetaClass1 returns an instance of HelperClass1. | 
 |  | 
 | <P>Now let's see how we could use metaclasses -- what can we do | 
 | with metaclasses that we can't easily do without them?  Here's one | 
 | idea: a metaclass could automatically insert trace calls for all | 
 | method calls.  Let's first develop a simplified example, without | 
 | support for inheritance or other ``advanced'' Python features (we'll | 
 | add those later). | 
 |  | 
 | <PRE> | 
 | import types | 
 |  | 
 | class Tracing: | 
 |     def __init__(self, name, bases, namespace): | 
 |         """Create a new class.""" | 
 |         self.__name__ = name | 
 |         self.__bases__ = bases | 
 |         self.__namespace__ = namespace | 
 |     def __call__(self): | 
 |         """Create a new instance.""" | 
 |         return Instance(self) | 
 |  | 
 | class Instance: | 
 |     def __init__(self, klass): | 
 |         self.__klass__ = klass | 
 |     def __getattr__(self, name): | 
 |         try: | 
 |             value = self.__klass__.__namespace__[name] | 
 |         except KeyError: | 
 |             raise AttributeError, name | 
 |         if type(value) is not types.FunctionType: | 
 |             return value | 
 |         return BoundMethod(value, self) | 
 |  | 
 | class BoundMethod: | 
 |     def __init__(self, function, instance): | 
 |         self.function = function | 
 |         self.instance = instance | 
 |     def __call__(self, *args): | 
 |         print "calling", self.function, "for", self.instance, "with", args | 
 |         return apply(self.function, (self.instance,) + args) | 
 |  | 
 | Trace = Tracing('Trace', (), {}) | 
 |  | 
 | class MyTracedClass(Trace): | 
 |     def method1(self, a): | 
 |         self.a = a | 
 |     def method2(self): | 
 |         return self.a | 
 |  | 
 | aninstance = MyTracedClass() | 
 |  | 
 | aninstance.method1(10) | 
 |  | 
 | print "the answer is %d" % aninstance.method2() | 
 | </PRE> | 
 |  | 
 | Confused already?  The intention is to read this from top down.  The | 
 | Tracing class is the metaclass we're defining.  Its structure is | 
 | really simple. | 
 |  | 
 | <P> | 
 |  | 
 | <UL> | 
 |  | 
 | <LI>The __init__ method is invoked when a new Tracing instance is | 
 | created, e.g. the definition of class MyTracedClass later in the | 
 | example.  It simply saves the class name, base classes and namespace | 
 | as instance variables.<P> | 
 |  | 
 | <LI>The __call__ method is invoked when a Tracing instance is called, | 
 | e.g. the creation of aninstance later in the example.  It returns an | 
 | instance of the class Instance, which is defined next.<P> | 
 |  | 
 | </UL> | 
 |  | 
 | <P>The class Instance is the class used for all instances of classes | 
 | built using the Tracing metaclass, e.g. aninstance.  It has two | 
 | methods: | 
 |  | 
 | <P> | 
 |  | 
 | <UL> | 
 |  | 
 | <LI>The __init__ method is invoked from the Tracing.__call__ method | 
 | above to initialize a new instance.  It saves the class reference as | 
 | an instance variable.  It uses a funny name because the user's | 
 | instance variables (e.g. self.a later in the example) live in the same | 
 | namespace.<P> | 
 |  | 
 | <LI>The __getattr__ method is invoked whenever the user code | 
 | references an attribute of the instance that is not an instance | 
 | variable (nor a class variable; but except for __init__ and | 
 | __getattr__ there are no class variables).  It will be called, for | 
 | example, when aninstance.method1 is referenced in the example, with | 
 | self set to aninstance and name set to the string "method1".<P> | 
 |  | 
 | </UL> | 
 |  | 
 | <P>The __getattr__ method looks the name up in the __namespace__ | 
 | dictionary.  If it isn't found, it raises an AttributeError exception. | 
 | (In a more realistic example, it would first have to look through the | 
 | base classes as well.)  If it is found, there are two possibilities: | 
 | it's either a function or it isn't.  If it's not a function, it is | 
 | assumed to be a class variable, and its value is returned.  If it's a | 
 | function, we have to ``wrap'' it in instance of yet another helper | 
 | class, BoundMethod. | 
 |  | 
 | <P>The BoundMethod class is needed to implement a familiar feature: | 
 | when a method is defined, it has an initial argument, self, which is | 
 | automatically bound to the relevant instance when it is called.  For | 
 | example, aninstance.method1(10) is equivalent to method1(aninstance, | 
 | 10).  In the example if this call, first a temporary BoundMethod | 
 | instance is created with the following constructor call: temp = | 
 | BoundMethod(method1, aninstance); then this instance is called as | 
 | temp(10).  After the call, the temporary instance is discarded. | 
 |  | 
 | <P> | 
 |  | 
 | <UL> | 
 |  | 
 | <LI>The __init__ method is invoked for the constructor call | 
 | BoundMethod(method1, aninstance).  It simply saves away its | 
 | arguments.<P> | 
 |  | 
 | <LI>The __call__ method is invoked when the bound method instance is | 
 | called, as in temp(10).  It needs to call method1(aninstance, 10). | 
 | However, even though self.function is now method1 and self.instance is | 
 | aninstance, it can't call self.function(self.instance, args) directly, | 
 | because it should work regardless of the number of arguments passed. | 
 | (For simplicity, support for keyword arguments has been omitted.)<P> | 
 |  | 
 | </UL> | 
 |  | 
 | <P>In order to be able to support arbitrary argument lists, the | 
 | __call__ method first constructs a new argument tuple.  Conveniently, | 
 | because of the notation *args in __call__'s own argument list, the | 
 | arguments to __call__ (except for self) are placed in the tuple args. | 
 | To construct the desired argument list, we concatenate a singleton | 
 | tuple containing the instance with the args tuple: (self.instance,) + | 
 | args.  (Note the trailing comma used to construct the singleton | 
 | tuple.)  In our example, the resulting argument tuple is (aninstance, | 
 | 10). | 
 |  | 
 | <P>The intrinsic function apply() takes a function and an argument | 
 | tuple and calls the function for it.  In our example, we are calling | 
 | apply(method1, (aninstance, 10)) which is equivalent to calling | 
 | method(aninstance, 10). | 
 |  | 
 | <P>From here on, things should come together quite easily.  The output | 
 | of the example code is something like this: | 
 |  | 
 | <PRE> | 
 | calling <function method1 at ae8d8> for <Instance instance at 95ab0> with (10,) | 
 | calling <function method2 at ae900> for <Instance instance at 95ab0> with () | 
 | the answer is 10 | 
 | </PRE> | 
 |  | 
 | <P>That was about the shortest meaningful example that I could come up | 
 | with.  A real tracing metaclass (for example, <A | 
 | HREF="#Trace">Trace.py</A> discussed below) needs to be more | 
 | complicated in two dimensions. | 
 |  | 
 | <P>First, it needs to support more advanced Python features such as | 
 | class variables, inheritance, __init__ methods, and keyword arguments. | 
 |  | 
 | <P>Second, it needs to provide a more flexible way to handle the | 
 | actual tracing information; perhaps it should be possible to write | 
 | your own tracing function that gets called, perhaps it should be | 
 | possible to enable and disable tracing on a per-class or per-instance | 
 | basis, and perhaps a filter so that only interesting calls are traced; | 
 | it should also be able to trace the return value of the call (or the | 
 | exception it raised if an error occurs).  Even the Trace.py example | 
 | doesn't support all these features yet. | 
 |  | 
 | <P> | 
 |  | 
 | <HR> | 
 |  | 
 | <H1>Real-life Examples</H1> | 
 |  | 
 | <P>Have a look at some very preliminary examples that I coded up to | 
 | teach myself how to write metaclasses: | 
 |  | 
 | <DL> | 
 |  | 
 | <DT><A HREF="Enum.py">Enum.py</A> | 
 |  | 
 | <DD>This (ab)uses the class syntax as an elegant way to define | 
 | enumerated types.  The resulting classes are never instantiated -- | 
 | rather, their class attributes are the enumerated values.  For | 
 | example: | 
 |  | 
 | <PRE> | 
 | class Color(Enum): | 
 |     red = 1 | 
 |     green = 2 | 
 |     blue = 3 | 
 | print Color.red | 
 | </PRE> | 
 |  | 
 | will print the string ``Color.red'', while ``Color.red==1'' is true, | 
 | and ``Color.red + 1'' raise a TypeError exception. | 
 |  | 
 | <P> | 
 |  | 
 | <DT><A NAME=Trace></A><A HREF="Trace.py">Trace.py</A> | 
 |  | 
 | <DD>The resulting classes work much like standard | 
 | classes, but by setting a special class or instance attribute | 
 | __trace_output__ to point to a file, all calls to the class's methods | 
 | are traced.  It was a bit of a struggle to get this right.  This | 
 | should probably redone using the generic metaclass below. | 
 |  | 
 | <P> | 
 |  | 
 | <DT><A HREF="Meta.py">Meta.py</A> | 
 |  | 
 | <DD>A generic metaclass.  This is an attempt at finding out how much | 
 | standard class behavior can be mimicked by a metaclass.  The | 
 | preliminary answer appears to be that everything's fine as long as the | 
 | class (or its clients) don't look at the instance's __class__ | 
 | attribute, nor at the class's __dict__ attribute.  The use of | 
 | __getattr__ internally makes the classic implementation of __getattr__ | 
 | hooks tough; we provide a similar hook _getattr_ instead. | 
 | (__setattr__ and __delattr__ are not affected.) | 
 | (XXX Hm.  Could detect presence of __getattr__ and rename it.) | 
 |  | 
 | <P> | 
 |  | 
 | <DT><A HREF="Eiffel.py">Eiffel.py</A> | 
 |  | 
 | <DD>Uses the above generic metaclass to implement Eiffel style | 
 | pre-conditions and post-conditions. | 
 |  | 
 | <P> | 
 |  | 
 | <DT><A HREF="Synch.py">Synch.py</A> | 
 |  | 
 | <DD>Uses the above generic metaclass to implement synchronized | 
 | methods. | 
 |  | 
 | <P> | 
 |  | 
 | <DT><A HREF="Simple.py">Simple.py</A> | 
 |  | 
 | <DD>The example module used above. | 
 |  | 
 | <P> | 
 |  | 
 | </DL> | 
 |  | 
 | <P>A pattern seems to be emerging: almost all these uses of | 
 | metaclasses (except for Enum, which is probably more cute than useful) | 
 | mostly work by placing wrappers around method calls.  An obvious | 
 | problem with that is that it's not easy to combine the features of | 
 | different metaclasses, while this would actually be quite useful: for | 
 | example, I wouldn't mind getting a trace from the test run of the | 
 | Synch module, and it would be interesting to add preconditions to it | 
 | as well.  This needs more research.  Perhaps a metaclass could be | 
 | provided that allows stackable wrappers... | 
 |  | 
 | <P> | 
 |  | 
 | <HR> | 
 |  | 
 | <H2>Things You Could Do With Metaclasses</H2> | 
 |  | 
 | <P>There are lots of things you could do with metaclasses.  Most of | 
 | these can also be done with creative use of __getattr__, but | 
 | metaclasses make it easier to modify the attribute lookup behavior of | 
 | classes.  Here's a partial list. | 
 |  | 
 | <P> | 
 |  | 
 | <UL> | 
 |  | 
 | <LI>Enforce different inheritance semantics, e.g. automatically call | 
 | base class methods when a derived class overrides<P> | 
 |  | 
 | <LI>Implement class methods (e.g. if the first argument is not named | 
 | 'self')<P> | 
 |  | 
 | <LI>Implement that each instance is initialized with <b>copies</b> of | 
 | all class variables<P> | 
 |  | 
 | <LI>Implement a different way to store instance variables (e.g. in a | 
 | list kept outside the the instance but indexed by the instance's id())<P> | 
 |  | 
 | <LI>Automatically wrap or trap all or certain methods | 
 |  | 
 | <UL> | 
 |  | 
 | <LI>for tracing | 
 |  | 
 | <LI>for precondition and postcondition checking | 
 |  | 
 | <LI>for synchronized methods | 
 |  | 
 | <LI>for automatic value caching | 
 |  | 
 | </UL> | 
 | <P> | 
 |  | 
 | <LI>When an attribute is a parameterless function, call it on | 
 | reference (to mimic it being an instance variable); same on assignment<P> | 
 |  | 
 | <LI>Instrumentation: see how many times various attributes are used<P> | 
 |  | 
 | <LI>Different semantics for __setattr__ and __getattr__ (e.g.  disable | 
 | them when they are being used recursively)<P> | 
 |  | 
 | <LI>Abuse class syntax for other things<P> | 
 |  | 
 | <LI>Experiment with automatic type checking<P> | 
 |  | 
 | <LI>Delegation (or acquisition)<P> | 
 |  | 
 | <LI>Dynamic inheritance patterns<P> | 
 |  | 
 | <LI>Automatic caching of methods<P> | 
 |  | 
 | </UL> | 
 |  | 
 | <P> | 
 |  | 
 | <HR> | 
 |  | 
 | <H4>Credits</H4> | 
 |  | 
 | <P>Many thanks to David Ascher and Donald Beaudry for their comments | 
 | on earlier draft of this paper.  Also thanks to Matt Conway and Tommy | 
 | Burnette for putting a seed for the idea of metaclasses in my | 
 | mind, nearly three years ago, even though at the time my response was | 
 | ``you can do that with __getattr__ hooks...'' :-) | 
 |  | 
 | <P> | 
 |  | 
 | <HR> | 
 |  | 
 | </BODY> | 
 |  | 
 | </HTML> |