I've been mainly exposed to OO programming so far and am looking forward to learning a functional language. My questions are:
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oop
functional-programming
paradigms
Object Oriented Programming offers:
Functional Programming, in Haskell or even in Scala, can allow substitution through more general mechanism of type classes. Mutable internal state is either discouraged or forbidden. Encapsulation of internal representation can also be achieved. See Haskell vs OOP for a good comparison.
Norman's assertion that "Adding a new kind of thing to a functional program may require editing many function definitions to add a new case." depends on how well the functional code has employed type classes. If Pattern Matching on a particular Abstract Data Type is spread throughout a codebase, you will indeed suffer from this problem, but it is perhaps a poor design to start with.
EDITED Removed reference to implicit conversions when discussing type classes. In Scala, type classes are encoded with implicit parameters, not conversions, although implicit conversions are another means to acheiving substitution of compatible types.
If you're in a heavily concurrent environment, then pure functional programming is useful. The lack of mutable state makes concurrency almost trivial. See Erlang.
In a multiparadigm language, you may want to model some things functionally if the existence of mutable state is must an implementation detail, and thus FP is a good model for the problem domain. For example, see list comprehensions in Python or std.range in the D programming language. These are inspired by functional programming.
You don't necessarily have to choose between the two paradigms. You can write software with an OO architecture using many functional concepts. FP and OOP are orthogonal in nature.
Take for example C#. You could say it's mostly OOP, but there are many FP concepts and constructs. If you consider Linq, the most important constructs that permit Linq to exist are functional in nature: lambda expressions.
Another example, F#. You could say it's mostly FP, but there are many OOP concepts and constructs available. You can define classes, abstract classes, interfaces, deal with inheritance. You can even use mutability when it makes your code clearer or when it dramatically increases performance.
Many modern languages are multi-paradigm.
As I'm in the same boat (OOP background, learning FP), I'd suggest you some readings I've really appreciated:
Functional Programming for Everyday .NET Development, by Jeremy Miller. A great article (although poorly formatted) showing many techniques and practical, real-world examples of FP on C#.
Real-World Functional Programming, by Tomas Petricek. A great book that deals mainly with FP concepts, trying to explain what they are, when they should be used. There are many examples in both F# and C#. Also, Petricek's blog is a great source of information.
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