EQL specializer. The comparison of those methods will thus be decided based on other parameters.

The Standard Method Combination

Now that you understand how the applicable methods are found and sorted, you're ready to take a closer look at the last step—how the sorted list of methods is combined into a single effective method. By default, generic functions use what's called the standard method combination. The standard method combination combines methods so that CALL-NEXT-METHOD works as you've already seen—the most specific method runs first, and each method can pass control to the next most specific method via CALL-NEXT-METHOD.

However, there's a bit more to it than that. The methods I've been discussing so far are called primary methods. Primary methods, as their name suggests, are responsible for providing the primary implementation of a generic function. The standard method combination also supports three kinds of auxiliary methods: :before, :after, and :around methods. An auxiliary method definition is written with DEFMETHOD like a primary method but with a method qualifier, which names the type of method, between the name of the method and the parameter list. For instance, a :before method on withdraw that specializes the account parameter on the class bank-account would start like this:

(defmethod withdraw :before ((account bank-account) amount) ...)

Each kind of auxiliary method is combined into the effective method in a different way. All the applicable :before methods—not just the most specific—are run as part of the effective method. They run, as their name suggests, before the most specific primary method and are run in most-specific-first order. Thus, :before methods can be used to do any preparation needed to ensure that the primary method can run. For instance, you could've used a :before method specialized on checking- account to implement the overdraft protection on checking accounts like this:

(defmethod withdraw :before ((account checking-account) amount)

(let ((overdraft (- amount (balance account))))

(when (plusp overdraft)

(withdraw (overdraft-account account) overdraft)

(incf (balance account) overdraft))))

This :before method has three advantages over a primary method. One is that it makes it immediately obvious how the method changes the overall behavior of the withdraw function—it's not going to interfere with the main behavior or change the result returned.

The next advantage is that a primary method specialized on a class more specific than checking- account won't interfere with this :before method, making it easier for an author of a subclass of checking-account to extend the behavior of withdraw while keeping part of the old behavior.

Lastly, since a :before method doesn't have to call CALL-NEXT- METHOD to pass control to the remaining methods, it's impossible to introduce a bug by forgetting to.

The other auxiliary methods also fit into the effective method in ways suggested by their names. All the :after methods run after the primary methods in most-specific-last order, that is, the reverse of the :before methods. Thus, the :before and :after methods combine to create a sort of nested wrapping around the core functionality provided by the primary methods—each more-specific :before method will get a chance to set things up so the less-specific :before methods and primary methods can run successfully, and each more-specific :after method will get a chance to clean up after all the primary methods and less-specific :after methods.

Finally, :around methods are combined much like primary methods except they're run 'around' all the other methods. That is, the code from the most specific :around method is run before anything else. Within the body of an :around method, CALL-NEXT- METHOD will lead to the code of the next most specific :around method or, in the least specific :around method, to the complex of :before, primary, and :after methods. Almost all :around methods will contain such a call to CALL-NEXT-METHOD because an :around method that doesn't will completely hijack the implementation of the generic function from all the methods except for more-specific :around methods.

Occasionally that kind of hijacking is called for, but typically :around methods are used to establish some dynamic context in which the rest of the methods will run—to bind a dynamic variable, for example, or to establish an error handler (as I'll discuss in Chapter 19). About the only time it's appropriate for an :around method to not call CALL-NEXT-METHOD is when it returns a result cached from a previous call to CALL-NEXT-METHOD. At any rate, an :around method that doesn't call CALL-NEXT- METHOD is responsible for correctly implementing the semantics of the generic function for all classes of arguments to which the method may apply, including future subclasses.

Auxiliary methods are just a convenient way to express certain common patterns more concisely and concretely. They don't actually allow you to do anything you couldn't do by combining primary methods with diligent adherence to a few coding conventions and some extra typing. Perhaps their biggest benefit is that they provide a uniform framework for extending generic functions. Often a library will define a generic function and provide a default primary method, allowing users of the library to customize its behavior by defining appropriate auxiliary methods.

Other Method Combinations

In addition to the standard method combination, the language specifies nine other built-in method combinations known as the simple built-in method combinations. You can also define custom method combinations, though that's a fairly esoteric feature and beyond the scope of this book. I'll briefly cover how to use the simple built-in combinations to give you a sense of the possibilities.

All the simple combinations follow the same pattern: instead of invoking the most specific primary method and letting it invoke less-specific primary methods via CALL-NEXT-METHOD, the simple method combinations produce an effective method that contains the code of all the primary methods, one after another, all wrapped in a call to the function, macro, or special operator that gives the method combination its name. The nine combinations are named for the operators: +, AND, OR, LIST, APPEND, NCONC, MIN, MAX, and PROGN. The simple combinations also support only two kinds of methods, primary methods, which are combined as just described, and :around methods, which work like :around methods in the standard method combination.

For example, a generic function that uses the + method combination will return the sum of all the results returned by its primary methods. Note that the AND and OR method combinations won't

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