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  Continue to Item 36: Differentiate between inheritance of interface and inheritance of implementation.

Item 35:  Make sure public inheritance models "isa."

In his book, Some Must Watch While Some Must Sleep (W. H. Freeman and Company, 1974), William Dement relates the story of his attempt to fix in the minds of his students the most important lessons of his course. It is claimed, he told his class, that the average British schoolchild remembers little more history than that the Battle of Hastings was in 1066. If a child remembers little else, Dement emphasized, he or she remembers the date 1066. For the students in his course, Dement went on, there were only a few central messages, including, interestingly enough, the fact that sleeping pills cause insomnia. He implored his students to remember these few critical facts even if they forgot everything else discussed in the course, and he returned to these fundamental precepts repeatedly during the term.

At the end of the course, the last question on the final exam was, "Write one thing from the course that you will surely remember for the rest of your life." When Dement graded the exams, he was stunned. Nearly everyone had written "1066."

It is thus with great trepidation that I proclaim to you now that the single most important rule in object-oriented programming with C++ is this: public inheritance means "isa." Commit this rule to memory.

If you write that class D ("Derived") publicly inherits from class B ("Base"), you are telling C++ compilers (as well as human readers of your code) that every object of type D is also an object of type B, but not vice versa. You are saying that B represents a more general concept than D, that D represents a more specialized concept than B. You are asserting that anywhere an object of type B can be used, an object of type D can be used just as well, because every object of type D is an object of type B. On the other hand, if you need an object of type D, an object of type B will not do: every D isa B, but not vice versa.

C++ enforces this interpretation of public inheritance. Consider this example:

We know from everyday experience that every student is a person, but not every person is a student. That is exactly what this hierarchy asserts. We expect that anything that is true of a person — for example, that he or she has a date of birth — is also true of a student, but we do not expect that everything that is true of a student — that he or she is enrolled in a particular school, for instance — is true of people in general. The notion of a person is more general than is that of a student; a student is a specialized type of person.

Within the realm of C++, any function that expects an argument of type Person (or pointer-to-Person or reference-to-Person) will instead take a Student object (or pointer-to-Student or reference-to-Student):

This is true only for public inheritance. C++ will behave as I've described only if Student is publicly derived from Person. Private inheritance means something entirely different (see Item 42), and no one seems to know what protected inheritance is supposed to mean. Furthermore, the fact that a Student isa Person does not mean that an array of Student isa array of Person. For more information on that topic, see Item M3.

The equivalence of public inheritance and isa sounds simple, but in practice, things aren't always so straightforward. Sometimes your intuition can mislead you. For example, it is a fact that a penguin is a bird, and it is a fact that birds can fly. If we naively try to express this in C++, our effort yields:

Suddenly we are in trouble, because this hierarchy says that penguins can fly, which we know is not true. What happened?

In this case, we are the victims of an imprecise language (English). When we say that birds can fly, we don't really mean that all birds can fly, only that, in general, birds have the ability to fly. If we were more precise, we'd recognize that there are in fact several types of non-flying birds, and we would come up with the following hierarchy, which models reality much better:

This hierarchy is much more faithful to what we really know than was the original design.

Even now we're not entirely finished with these fowl matters, because for some software systems, it may be entirely appropriate to say that a penguin is a bird. In particular, if your application has much to do with beaks and wings and nothing to do with flying, the original hierarchy might work out just fine. Irritating though this may seem, it's a simple reflection of the fact that there is no one ideal design for all software. The best design depends on what the system is expected to do, both now and in the future (see Item M32). If your application has no knowledge of flying and isn't expected to ever have any, making Penguin a derived class of Bird may be a perfectly valid design decision. In fact, it may be preferable to a decision that makes a distinction between flying and non-flying birds, because such a distinction would be absent from the world you are trying to model. Adding superfluous classes to a hierarchy can be just as bad a design decision as having the wrong inheritance relationships between classes.

There is another school of thought on how to handle what I call the "All birds can fly, penguins are birds, penguins can't fly, uh oh" problem. That is to redefine the fly function for penguins so that it generates a runtime error:

Interpreted languages such as Smalltalk tend to adopt this approach, but it's important to recognize that this says something entirely different from what you might think. This does not say, "Penguins can't fly." This says, "Penguins can fly, but it's an error for them to try to do so."

How can you tell the difference? From the time at which the error is detected. The injunction, "Penguins can't fly," can be enforced by compilers, but violations of the statement, "It's an error for penguins to try to fly," can be detected only at runtime.

To express the constraint, "Penguins can't fly," you make sure that no such function is defined for Penguin objects:

If you try to make a penguin fly, compilers will reprimand you for your transgression:

This is very different from the behavior you get if you use the Smalltalk approach. With that methodology, compilers won't say a word.

The C++ philosophy is fundamentally different from the Smalltalk philosophy, so you're better off doing things the C++ way as long as you're programming in C++. In addition, there are certain technical advantages to detecting errors during compilation instead of at runtime — see Item 46.

Perhaps you'll concede that your ornithological intuition may be lacking, but you can rely on your mastery of elementary geometry, right? I mean, how complicated can rectangles and squares be?

Well, answer this simple question: should class Square publicly inherit from class Rectangle?

"Duh!" you say, "Of course it should! Everybody knows that a square is a rectangle, but generally not vice versa." True enough, at least in high school. But I don't think we're in high school anymore.

Consider this code:

Clearly, the assertion should never fail. makeBigger only changes r's width. Its height is never modified.

Now consider this code, which uses public inheritance to allow squares to be treated like rectangles:

It's just as clear here as it was above that this last assertion should also never fail. By definition, the width of a square is the same as its height.

But now we have a problem. How can we reconcile the following assertions?

Well?

Welcome to the wonderful world of public inheritance, where the instincts you've developed in other fields of study — including mathematics — may not serve you as well as you expect. The fundamental difficulty in this case is that something applicable to a rectangle (its width may be modified independently of its height) is not applicable to a square (its width and height are constrained to be the same). But public inheritance asserts that everything applicable to base class objects — everything! — is also applicable to derived class objects. In the case of rectangles and squares (and a similar example involving sets and lists in Item 40), that assertion fails to hold, so using public inheritance to model their relationship is just plain wrong. Compilers will let you do it, of course, but as we've just seen, that's no guarantee the code will behave properly. As every programmer must learn (some more often than others), just because the code compiles doesn't mean it will work.

Now, don't fret that the software intuition you've developed over the years will fail you as you approach object-oriented design. That knowledge is still valuable, but now that you've added inheritance to your arsenal of design alternatives, you'll have to augment your intuition with new insights to guide you in inheritance's proper application. In time, the notion of having Penguin inherit from Bird or Square inherit from Rectangle will give you the same funny feeling you probably get now when somebody shows you a function several pages long. It's possible that it's the right way to approach things, it's just not very likely.

Of course, the isa relationship is not the only one that can exist between classes. Two other common inter-class relationships are "has-a" and "is-implemented-in-terms-of." These relationships are considered in Items 40 and 42. It's not uncommon for C++ designs to go awry because one of these other important relationships was incorrectly modeled as isa, so you should make sure that you understand the differences between these relationships and that you know how they are best modeled in C++.

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  Continue to Item 36: Differentiate between inheritance of interface and inheritance of implementation.