"Many functions operating upon few abstractions" principle vs OOP

Question

The creator of the Clojure language claims that "open, and large, set of functions operate upon an open, and small, set of extensible abstractions is the key to algorithmic reuse and library interoperability". Obviously it contradicts the typical OOP approach where you create a lot of abstractions (classes) and a relatively small set of functions operating on them. Please suggest a book, a chapter in a book, an article, or your personal experience that elaborate on the topics:

1. motivating examples of problems that appear in OOP and how using "many functions upon few abstractions" would address them
2. how to effectively do MFUFA* design
3. how to refactor OOP code towards MFUFA
4. how OOP languages' syntax gets in the way of MFUFA

_{*MFUFA: "many functions upon few abstractions"}

Answer 1

There are two main notions of "abstraction" in programming:

1. parameterisation ("polymorphism", genericity).
2. encapsulation (data hiding),

[Edit: These two are duals. The first is client-side abstraction, the second implementer-side abstraction (and in case you care about these things: in terms of formal logic or type theory, they correspond to universal and existential quantification, respectively).]

In OO, the class is the kitchen sink feature for achieving both kinds of abstraction.

Ad (1), for almost every "pattern" you need to define a custom class (or several). In functional programming on the other hand, you often have more lightweight and direct methods to achieve the same goals, in particular, functions and tuples. It is often pointed out that most of the "design patterns" from the GoF are redundant in FP, for example.

Ad (2), encapsulation is needed a little bit less often if you don't have mutable state lingering around everywhere that you need to keep in check. You still build ADTs in FP, but they tend to be simpler and more generic, and hence you need fewer of them.

Answer 2

When you write program in object-oriented style, you make emphasis on expressing domain area in terms of data types. And at first glance this looks like a good idea - if we work with users, why not to have a class User? And if users sell and buy cars, why not to have class Car? This way we can easily maintain data and control flow - it just reflects order of events in the real world. While this is quite convenient for domain objects, for many internal objects (i.e. objects that do not reflect anything from real world, but occur only in program logic) it is not so good. Maybe the best example is a number of collection types in Java. In Java (and many other OOP languages) there are both arrays, Lists. In JDBC there's ResultSet which is also kind of collection, but doesn't implement Collection interface. For input you will often use InputStream that provides interface for sequential access to the data - just like linked list! However it doesn't implement any kind of collection interface as well. Thus, if your code works with database and uses ResultSet it will be harder to refactor it for text files and InputStream.

MFUFA principle teaches us to pay less attention to type definition and more to common abstractions. For this reason Clojure introduces single abstraction for all mentioned types - sequence. Any iterable is automatically coerced to sequence, streams are just lazy lists and result set may be transformed to one of previous types easily.

Another example is using PersistentMap interface for structs and records. With such common interfaces it becomes very easy to create resusable subroutines and do not spend lots of time to refactoring.

To summarize and answer your questions:

1. One simple example of an issue that appears in OOP frequently: reading data from many different sources (e.g. DB, file, network, etc.) and processing it in the same way.
2. To make good MFUFA design try to make abstractions as common as possible and avoid ad-hoc implementations. E.g. avoid types a-la UserList - List<User> is good enough in most cases.
3. Follow suggestions from point 2. In addition, try to add as much interfaces to your data types (classes) as it possible. For example, if you really need to have UserList (e.g. when it should have a lot of additional functionality), add both List and Iterable interfaces to its definition.
4. OOP (at least in Java and C#) is not very well suited for this principle, because they try to encapsulate the whole object's behavior during initial design, so it becomes hard add more functions to them. In most cases you can extend class in question and put methods you need into new object, but 1) if somebody else implements their own derived class, it will not be compatible with yours; 2) sometimes classes are final or all fields are made private, so derived classes don't have access to them (e.g. to add new functions to class String one should implement additional classStringUtils). Nevertheless, rules I described above make it much easier to use MFUFA in OOP-code. And best example here is Clojure itself, which is gracefully implemented in OO-style but still follows MFUFA principle.

UPD. I remember another description of difference between object oriented and functional styles, that maybe summarizes better all I said above: designing program in OO style is thinking in terms of data types (nouns), while designing in functional style is thinking in terms of operations (verbs). You may forget that some nouns are similar (e.g. forget about inheritance), but you should always remember that many verbs in practice do the same thing (e.g. have same or similar interfaces).

Answer 3

A much earlier version of the quote:

"The simple structure and natural applicability of lists are reflected in functions that are amazingly nonidiosyncratic. In Pascal the plethora of declarable data structures induces a specialization within functions that inhibits and penalizes casual cooperation. It is better to have 100 functions operate on one data structure than to have 10 functions operate on 10 data structures."

...comes from the foreword to the famous SICP book. I believe this book has a lot of applicable material on this topic.