SOLID for functional programming - functional-programming

Coming from an OOP language, I am familiar with the SOLID principles of object oriented design. It seems like some of these would fit into a functional programming model, while other parts make no sense in a world lacking state. Is there a similar set of principles for refactoring functional code?

As far as I know (I'm no expert), SOLID principles do not tell anything about state. They should be applicable as well in a functional programming languages. They're more advice about how to achieve modularity.
Some of them are rather obvious or at least well-known. Single-responsibility is the UNIX principle "do one thing and do it well", which is even more popular in functional languages where "composition" is widely used, similarly. The Interface Segregation Principle is very natural as well (have your interfaces modular and keep orthogonal concepts separated). Finally, Dependency Inversion is just a name for "abstraction" and is omnipresent in functional programming.
The "OL" principles, Open/Closed and LSP, are more oriented towards languages based upon inheritance as a core software engineering concept. Functional languages values/modules do not have open recursion by default, so "implementation inheritance" is only used in very specific cases. Composition is preferred. I'm not sure how you should interpret the Open/Closed principle in that setting. You may consider it is about encapsulation, which functional programs also use a lot, using abstract types and such.
Finally, the Liskov Substitution Principle may seem to be about inheritance. Functional languages do not always use subtyping, but when they do it is indeed assumed that "derived types" should preserve the specification of "base types". Functional programmers are of course careful to specify and respect the interface and properties of their programs, modules etc., and may use algebraic reasoning (this is equivalent to this so I can substitute...) based on those specifications when programming, refactoring, etc. However, once you get rid of the "inheritance by default" idea, you have much less problems of interface violations, so LSP is not emphasized as a vital safeguard as it is in OOP.

This video presents the SOLID principles, and how to apply them in Clojure.
It shows how these principles hold in the Functional world as much as in OOP, because we still need to solve the same underlying problems. And overall, it made me think Functional Programming is better suited for SOLID design.

Actually, SOLID Could be a good idea to have a better principle for Functional Programming:
SRP: Only do one thing was taken from imperative programming in the first place. Having small, focused functions is good.
OCP: Allowing you to change behaviors without modifying code is good. Functional Programming uses higher-order functions more than inheritance, but the principle holds.
LSP: Abiding by some interface contract is just as good in functional programming as in object-oriented. If a sort function takes a comparator, then you would expect the '0 is equals, less than provides negative results, greater than positive results' behavior.
ISP: Most functional languages still have structs. Specifying the smallest set of data required by a function is still good practice. Requiring the least specific interface to the data (why use Lists of ints when Enumerations of T work just as well?) is still good practice.
DIP: Specifying parameters to a function (or a higher-order function to retrieve them) rather than hard coding the function to go get some value is just as good in functional programming as in object-oriented.
And even when doing object-oriented programming, many of these principles apply to the design of methods in the objects too.

"Richard Warburton, a member of the London JCP Committee, in his presentation describes the SOLID principles as one example of well-established object oriented programming design principles, identified by Robert C. Martin in the early 2000s, and looks at each of the five principles trying to find a functional equivalent or at least something related on the function side.
Richards experience is that although many developers don’t know how to use their existing design skills in functional design, functional programming can often help in implementing the SOLID principles and also that a functional mindset can actually help in achieving one important aspect of object-orientation, encapsulation."
Further information:
Object Oriented Design Principles and Functional Programming - https://www.infoq.com/news/2014/03/oo-functional-programming/
Equivalent of SOLID principles for functional programming -
https://softwareengineering.stackexchange.com/questions/165356/equivalent-of-solid-principles-for-functional-programming

Related

Functional programming principles vs functional programing paradigm?

I'm struggling with understanding the difference between functional and imperative programming. From reading https://www.sitepoint.com/what-is-functional-programming/ I see that there are a number of principles in functional programming that I use all the time in what I thought was an imperative programming.
I've read that functional programs use pure functions, so does that mean every time I make or use a pure function I'm writing in the functional paradigm?
I've also passed functions in and used them as first class objects, does that mean I was writing in the functional paradigm?
I pretty much use all of the functional paradigm principles in my code, but I never thought I was doing functional programming. Is the act of using any of these functional programming principles considered the functional programming paradigm?
Functional principles are just techniques and ideas. These are the bread and butter of the functional programming paradigm, which is what happens when you take these tools and use their unique advantages to gain systemic advantages.
A pure function is just a function with no side effects. You've written a million of these. But now, if you write only pure functions, your app can be split across processing cores with no effort or risk.
You've used constants before. But if you almost always use constants, then the things that are variable are the only things you have to think about when tracing code, and that is quite an advantage.
And you've chained functions before, but when you make everything pipe-able your entire language begins to feel like wiring up data flows, rather than giving the computer step-by-step instructions. This is much easier for humans to reason about and is less error-prone.
The techniques always have their advantages. When they become baseline assumptions, those advantages multiply. That's the functional paradigm.
Moving my comments here for clarity:
good question! In this article medium.com/#charlesbailey333/… it talked about how Rust had advantages over C++ because it incorporates functional programming ideas better. The evidence they give is that it supports Map, Reduce, and Filter. It almost seems like they're saying that those functions are "functional programming functions", but I don't think those functions are anything special. – Joshua Segal 16 mins ago
Okay great! This I can help with. SO this author is struggling to use the actual term for what they're referencing. It's called "expressiveness". Basically it means how close is the code I'm writing to the mental model of what I'm doing? For example, you want to give someone directions on how to get from A to B. Ideally, you do this by expressing it in turns and street names. However, if your language forces you to express this using the angle of the accelerator pedal and the angle of the steering wheel, this is much clunkier to do. C++ did it clunky. Rust did it elegantly and expressively.
In general, the functional and declarative languages tend to be much better at "expressing" your ideas in code and visually. You have branching paths? Your code literally looks like a branching tree. You have a data flow with a transformer? Guess what friend, that's just a function that transforms X to Y and a some sort of pipe operator that takes care of looping and new info.
The thing is, expressiveness isn't a statistic or something you can optimize for. It's an emergent "feeling" when using the language. The paradigms are general principles that tend to be internally consistent that produce useful "feelings". FP feels like flowing pipes and transformations. OOP feels like gadgets and features that talk to each other. The different mental models have different uses. FP is better for data processing. OOP can be good for UI and stateful services. At the boundaries they can clash a little, which is where the clunk comes from in C++.
At this point anything that is "completely OOP" or "completely FP" is usually shit, to be frank, so it can be a little hard to see the identities of the two when they are so merged. If you do complete OOP you can't compose anything and you have to write a million connector classes. If you do complete FP you can't modify state or have side effects (like... uh... showing stuff on screen?). These are genres. What makes something a house beat? If something else uses a house beat is it automatically house music? Does anyone care about the categorization?

Real life examples of functional programming spirits applied in imperative languages?

Most people say that even functional programming is less likely to land you a job, you can become a better imperative/OO programmer by learning it.
For me, it's mostly about writing "non member non friend" functions that have no side effects. But I couldn't come up with more examples where functional programming can be effectively applied in imperative languages, because working around languages' lack of features is often too cumbersome.
So what are some more (specific) examples/techniques that you actually applied in non-functional languages that were inspired by functional programming?
Another of my own experience
This one is quite abstract, but due to the lack of "objects" in most FP languages, the culture there tends favor rigorous data structure design. Usually, in OOP languages, because stuffing an extra variable in a class is too easy, things tend to go mess up rather quickly. Though the same could be done using OCaml's and Haskell's record syntax, that kind of approach somehow feels out of place in FP.
Data Transformation
In my experience thinking on how to solve a problem functionally makes you think more about what data gets transformed to what - and not what state needs to be changed in order to keep the damn thing running...
Thinking of problems as transformations makes them appear different all by itself - which leads to different and most likely more elegant solutions.
Update: In c++ there is the <functional> header, and std::transform in <algorithm>.
Most Ruby Enumerable methods are inspired by Higher Order Functions from Functional programming
The new-ish JavaScript array functions, filter, map, every, some, reduce, and reduceRight, are functional-inspired.
Functional Java was already mentioned in the comments, but there is also some functional-ish stuff in Apache Commons Collections. See the org.apache.commons.collections.functors package.

Is there a software-engineering methodology for functional programming? [closed]

Closed. This question needs to be more focused. It is not currently accepting answers.
Want to improve this question? Update the question so it focuses on one problem only by editing this post.
Closed 6 years ago.
Improve this question
Software Engineering as it is taught today is entirely focused on object-oriented programming and the 'natural' object-oriented view of the world. There is a detailed methodology that describes how to transform a domain model into a class model with several steps and a lot of (UML) artifacts like use-case-diagrams or class-diagrams. Many programmers have internalized this approach and have a good idea about how to design an object-oriented application from scratch.
The new hype is functional programming, which is taught in many books and tutorials. But what about functional software engineering?
While reading about Lisp and Clojure, I came about two interesting statements:
Functional programs are often developed bottom up instead of top down ('On Lisp', Paul Graham)
Functional Programmers use Maps where OO-Programmers use objects/classes ('Clojure for Java Programmers', talk by Rich Hickley).
So what is the methodology for a systematic (model-based ?) design of a functional application, i.e. in Lisp or Clojure? What are the common steps, what artifacts do I use, how do I map them from the problem space to the solution space?
Thank God that the software-engineering people have not yet discovered functional programming. Here are some parallels:
Many OO "design patterns" are captured as higher-order functions. For example, the Visitor pattern is known in the functional world as a "fold" (or if you are a pointy-headed theorist, a "catamorphism"). In functional languages, data types are mostly trees or tuples, and every tree type has a natural catamorphism associated with it.
These higher-order functions often come with certain laws of programming, aka "free theorems".
Functional programmers use diagrams much less heavily than OO programmers. Much of what is expressed in OO diagrams is instead expressed in types, or in "signatures", which you should think of as "module types". Haskell also has "type classes", which is a bit like an interface type.
Those functional programmers who use types generally think that "once you get the types right; the code practically writes itself."
Not all functional languages use explicit types, but the How To Design Programs book, an excellent book for learning Scheme/Lisp/Clojure, relies heavily on "data descriptions", which are closely related to types.
So what is the methodology for a systematic (model-based ?) design of a functional application, i.e. in Lisp or Clojure?
Any design method based on data abstraction works well. I happen to think that this is easier when the language has explicit types, but it works even without. A good book about design methods for abstract data types, which is easily adapted to functional programming, is Abstraction and Specification in Program Development by Barbara Liskov and John Guttag, the first edition. Liskov won the Turing award in part for that work.
Another design methodology that is unique to Lisp is to decide what language extensions would be useful in the problem domain in which you are working, and then use hygienic macros to add these constructs to your language. A good place to read about this kind of design is Matthew Flatt's article Creating Languages in Racket. The article may be behind a paywall. You can also find more general material on this kind of design by searching for the term "domain-specific embedded language"; for particular advice and examples beyond what Matthew Flatt covers, I would probably start with Graham's On Lisp or perhaps ANSI Common Lisp.
What are the common steps, what artifacts do I use?
Common steps:
Identify the data in your program and the operations on it, and define an abstract data type representing this data.
Identify common actions or patterns of computation, and express them as higher-order functions or macros. Expect to take this step as part of refactoring.
If you're using a typed functional language, use the type checker early and often. If you're using Lisp or Clojure, the best practice is to write function contracts first including unit tests—it's test-driven development to the max. And you will want to use whatever version of QuickCheck has been ported to your platform, which in your case looks like it's called ClojureCheck. It's an extremely powerful library for constructing random tests of code that uses higher-order functions.
For Clojure, I recommend going back to good old relational modeling. Out of the Tarpit is an inspirational read.
Personally I find that all the usual good practices from OO development apply in functional programming as well - just with a few minor tweaks to take account of the functional worldview. From a methodology perspective, you don't really need to do anything fundamentally different.
My experience comes from having moved from Java to Clojure in recent years.
Some examples:
Understand your business domain / data model - equally important whether you are going to design an object model or create a functional data structure with nested maps. In some ways, FP can be easier because it encourages you to think about data model separately from functions / processes but you still have to do both.
Service orientation in design - actually works very well from a FP perspective, since a typical service is really just a function with some side effects. I think that the "bottom up" view of software development sometimes espoused in the Lisp world is actually just good service-oriented API design principles in another guise.
Test Driven Development - works well in FP languages, in fact sometimes even better because pure functions lend themselves extremely well to writing clear, repeatable tests without any need for setting up a stateful environment. You might also want to build separate tests to check data integrity (e.g. does this map have all the keys in it that I expect, to balance the fact that in an OO language the class definition would enforce this for you at compile time).
Prototying / iteration - works just as well with FP. You might even be able to prototype live with users if you get very extremely good at building tools / DSL and using them at the REPL.
OO programming tightly couples data with behavior. Functional programming separates the two. So you don't have class diagrams, but you do have data structures, and you particularly have algebraic data types. Those types can be written to very tightly match your domain, including eliminating impossible values by construction.
So there aren't books and books on it, but there is a well established approach to, as the saying goes, make impossible values unrepresentable.
In so doing, you can make a range of choices about representing certain types of data as functions instead, and conversely, representing certain functions as a union of data types instead so that you can get, e.g., serialization, tighter specification, optimization, etc.
Then, given that, you write functions over your adts such that you establish some sort of algebra -- i.e. there are fixed laws which hold for these functions. Some are maybe idempotent -- the same after multiple applications. Some are associative. Some are transitive, etc.
Now you have a domain over which you have functions which compose according to well behaved laws. A simple embedded DSL!
Oh, and given properties, you can of course write automated randomized tests of them (ala QuickCheck).. and that's just the beginning.
Object Oriented design isn't the same thing as software engineering. Software engineering has to do with the entire process of how we go from requirements to a working system, on time and with a low defect rate. Functional programming may be different from OO, but it does not do away with requirements, high level and detailed designs, verification and testing, software metrics, estimation, and all that other "software engineering stuff".
Furthermore, functional programs do exhibit modularity and other structure. Your detailed designs have to be expressed in terms of the concepts in that structure.
One approach is to create an internal DSL within the functional programming language of choice. The "model" then is a set of business rules expressed in the DSL.
See my answer to another post:
How does Clojure aproach Separation of Concerns?
I agree more needs to be written on the subject on how to structure large applications that use an FP approach (Plus more needs to be done to document FP-driven UIs)
While this might be considered naive and simplistic, I think "design recipes" (a systematic approach to problem solving applied to programming as advocated by Felleisen et al. in their book HtDP) would be close to what you seem to be looking for.
Here, a few links:
http://www.northeastern.edu/magazine/0301/programming.html
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.86.8371
I've recently found this book:
Functional and Reactive Domain Modeling
I think is perfectly in line with your question.
From the book description:
Functional and Reactive Domain Modeling teaches you how to think of the domain model in terms of pure functions and how to compose them to build larger abstractions. You will start with the basics of functional programming and gradually progress to the advanced concepts and patterns that you need to know to implement complex domain models. The book demonstrates how advanced FP patterns like algebraic data types, typeclass based design, and isolation of side-effects can make your model compose for readability and verifiability.
There is the "program calculation" / "design by calculation" style associated with Prof. Richard Bird and the Algebra of Programming group at Oxford University (UK), I don't think its too far-fetched to consider this a methodology.
Personally while I like the work produced by the AoP group, I don't have the discipline to practice design in this way myself. However that's my shortcoming, and not one of program calculation.
I've found Behavior Driven Development to be a natural fit for rapidly developing code in both Clojure and SBCL. The real upside of leveraging BDD with a functional language is that I tend to write much finer grain unit tests than I usually do when using procedural languages because I do a much better job of decomposing the problem into smaller chunks of functionality.
Honestly if you want design recipes for functional programs, take a look at the standard function libraries such as Haskell's Prelude. In FP, patterns are usually captured by higher order procedures (functions that operate on functions) themselves. So if a pattern is seen, often a higher order function is simply created to capture that pattern.
A good example is fmap. This function takes a function as an argument and applies it to all the "elements" of the second argument. Since it is part of the Functor type class, any instance of a Functor (such as a list, graph, etc...) may be passed as a second argument to this function. It captures the general behavior of applying a function to every element of its second argument.
Well,
Generally many Functional Programming Languages are used at universities for a long time for "small toy problems".
They are getting more popular now since OOP has difficulties with "paralel programming" because of "state".And sometime functional style is better for problem at hand like Google MapReduce.
I am sure that, when functioanl guys hit the wall [ try to implement systems bigger than 1.000.000 lines of code], some of them will come with new software-engineering methodologies with buzz words :-). They should answer the old question: How to divide system into pieces so that we can "bite" each pieces one at a time? [ work iterative, inceremental en evolutionary way] using Functional Style.
It is sure that Functional Style will effect our Object Oriented
Style.We "still" many concepts from Functional Systems and adapted to
our OOP languages.
But will functional programs will be used for such a big systems?Will they become main stream? That is the question.
And Nobody can come with realistic methodology without implementing such a big systems, making his-her hands dirty.
First you should make your hands dirty then suggest solution. Solutions-Suggestions without "real pains and dirt" will be "fantasy".

"Functional programming" has a clear meaning, but does "functional language"?

I understand very clearly the difference between functional and imperative programming techniques. But there's a widespread tendency to talk of "functional languages", and this really confuses me.
Of course some languages like Haskell are more hospitable to functional programming than other languages like C. But even the former does I/O (it just keeps it in a ghetto). And you can write functional programs in C (it's just absurdly harder). So maybe it's just a matter of degree.
Still, even as a matter of degree, what does it mean when someone calls Scheme a "functional language"? Most Scheme code I see is imperative. Is it just that Scheme makes it easy to write in a functional style if you want to? So too do Lua and Python. Are they "functional languages" too?
I'm (really) not trying to be a language cop. If this is just a loose way of talking, that's fine. I'm just trying to figure out whether it does have some definite meaning (even if it's a matter-of-degree meaning) that I'm not seeing.
Among people who study programming languages for a living, "functional programming language" is a pretty weakly bound term. There is a strong consensus that:
Any language that calls itself functional must support first-class, nested functions with lexical scoping rules.
A significant minority also reserve the term "functional language" for languages which are:
Pure (or side-effect-free, referentially transparent, see also)
as in languages like Agda, Clean, Coq, and Haskell.
Beyond that, what's considered a functional programming language is often a matter of intent, that is, whether is designers want it to be called "functional".
Perl and Smalltalk are examples of languages that support first-class functions but whose designers don't call them functional. Objective Caml is an example of a language that is called functional even though it has a full object system with inheritance and everything.
Languages that are called "functional" will tend to have features like the following (taken from Defining point of functional programming):
Anonymous functions (lambda expressions)
Recursion (more prominent as a result of purity)
Programming with expressions rather than statements (again, from purity)
Closures
Currying / partial application
Lazy evaluation
Algebraic data types and pattern matching
Parametric polymorphism (a.k.a. generics)
The more a particular programming language has syntax and constructs tailored to making the various programming features listed above easy/painless to express & implement, the more likely someone will label it a "functional language".
I would say that a functional language is any language that allows functional programming without undue pain.
I like #Randolpho's answer. With regards to features, I might cite the list here:
Defining point of functional programming
namely
Purity (a.k.a. immutability, eschewing side-effects, referential transparency)
Higher-order functions (e.g. pass a function as a parameter, return it as a result, define anonymous function on the fly as a lambda expression)
Laziness (a.k.a. non-strict evaluation, most useful/usable when coupled with purity)
Algebraic data types and pattern matching
Closures
Currying / partial application
Parametric polymorphism (a.k.a. generics)
Recursion (more prominent as a result of purity)
Programming with expressions rather than statements (again, from purity)
The more a particular programming language has syntax and constructs tailored to making the various FP features listed above easy/painless to express & implement, the more likely someone will label it a "functional language".
Jane Street's Brian Hurt wrote a very good article on this a while back. The basic definition he arrived at is that a functional programming language is a language that models the lambda calculus. Think about what languages are widely agreed to be functional and you'll see that this is a very practical definition.
Lisp was a primitive attempt to model the lambda calculus, so it fits this definition — though since most implementations don't stick very closely to the ideas of lambda calculus, they're generally considered to be mixed-paradigm or at best weakly functional.
This is also why a lot of people bristle at languages like Python being called functional. Python's general philosophy is unrelated to lambda calculus — it doesn't encourage this way of thinking at all — so it's not a functional language. It's a Turing machine with first-class functions. You can do functional-style programming in Python, yes, but the language does not have its roots in the same math that functional languages do. (Incidentally, Guido van Rossum himself agrees with this description of the language.)
A language (and platform) that promotes Functional Programming as a means of fully leveraging the capabilities of the said platform.
A language that makes it a lot harder to create functions with side effects than without side effects. The same counts for mutable/immutable data structures.
I think the same question can be asked about "OOP languages". After all, you can write object oriented programs in C (and it's not uncommon to do so). But C doesn't have any built-in language constructs to enable OOP. You have to do OOP "by hand" without much help from the compiler. That's why it's usually not considered an OOP language. I think this distinction can be applied to "functional languages", too: For example, it's not uncommon to write functional code in C++ (think about STL functions like std::count_if or std::transform). But C++ (for now) lacks built-in language features that enable functional programming, like lambdas. (Let's ignore boost::lambda for the sake of the argument.)
So, to answer your question, I'd say although it's possible to write function programs in each of these languages:
C is not a functional language (no built-in functional language constructs)
Scheme, Python and friends have functional constructs, so they're functional languages. But they also have imperative and OOP constructs, so they're usually referred to as "multi-paradigm" languages.
You can do functional style programming in any language. I try as much as possible.
Python, Linq all promote functional style programming.
A pure functional language like Haskell requires you to do all your computations using mathematical functions, functions that do not modify anything, they just return values.
In addition, functional languages typically allow you to write higher order functions, functions that take functions as arguments and/or return types.
Haskell for one have different types for functions with side-effects and those without.
That's a pretty good discriminating property for being a 100% functional language, at least IMHO.
I wrote a (pretty long) analysis once on why the term 'functional programming language' is meaningless which also tries to explain why for instance 'functions' in Haskell are completely different from 'functions' in Lisp or Python: http://blog.nihilarchitect.net/archives/289/on-functional-programming/
Things like 'map' or 'filter' are for a large part also implementable in C for instance.

Do functional languages cope well with complexity?

I am curious how functional languages compare (in general) to more "traditional" languages such as C# and Java for large programs. Does program flow become difficult to follow more quickly than if a non-functional language is used? Are there other issues or things to consider when writing a large software project using a functional language?
Thanks!
Functional programming aims to reduce the complexity of large systems, by isolating each operation from others. When you program without side-effects, you know that you can look at each function individually - yes, understanding that one function may well involve understanding other functions too, but at least you know it won't interfere with some other piece of system state elsewhere.
Of course this is assuming completely pure functional programming - which certainly isn't always the case. You can use more traditional languages in a functional way too, avoiding side-effects where possible. But the principle is an important one: avoiding side-effects leads to more maintainable, understandable and testable code.
Does program flow become difficult to follow more quickly than if a >non-functional language is used?
"Program flow" is probably the wrong concept to analyze a large functional program. Control flow can become baroque because there are higher-order functions, but these are generally easy to understand because there is rarely any shared mutable state to worry about, so you can just think about arguments and results. Certainly my experience is that I find it much easier to follow an aggressively functional program than an aggressively object-oriented program where parts of the implementation are smeared out over many classes. And I find it easier to follow a program written with higher-order functions than with dynamic dispatch. I also observe that my students, who are more representative of programmers as a whole, have difficulties with both inheritance and dynamic dispatch. They do not have comparable difficulties with higher-order functions.
Are there other issues or things to consider when writing a large
software project using a functional language?
The critical thing is a good module system. Here is some commentary.
The most powerful module system I know of the unit system of PLT Scheme designed by Matthew Flatt and Matthias Felleisen. This very powerful system unfortunately lacks static types, which I find a great aid to programming.
The next most powerful system is the Standard ML module system. Unfortunately Standard ML, while very expressive, also permits a great many questionable constructs, so it is easy for an amateur to make a real mess. Also, many programmers find it difficult to use Standard ML modules effectively.
The Objective Caml module system is very similar, but there are some differences which tend to mitigate the worst excesses of Standard ML. The languages are actually very similar, but the styles and idioms of Objective Caml make it significantly less likely that beginners will write insane programs.
The least powerful/expressive module system for a functional langauge is the Haskell module system. This system has a grave defect that there are no explicit interfaces, so most of the cognitive benefit of having modules is lost. Another sad outcome is that while the Haskell module system gives users a hierarchical name space, use of this name space (import qualified, in case you're an insider) is often deprecated, and many Haskell programmers write code as if everything were in one big, flat namespace. This practice amounts to abandoning another of the big benefits of modules.
If I had to write a big system in a functional language and had to be sure that other people understood it, I'd probably pick Standard ML, and I'd establish very stringent programming conventions for use of the module system. (E.g., explicit signatures everywhere, opague ascription with :>, and no use of open anywhere, ever.) For me the simplicity of the Standard ML core language (as compared with OCaml) and the more functional nature of the Standard ML Basis Library (as compared with OCaml) are more valuable than the superior aspects of the OCaml module system.
I've worked on just one really big Haskell program, and while I found (and continue to find) working in Haskell very enjoyable, I really missed not having explicit signatures.
Do functional languages cope well with complexity?
Some do. I've found ML modules and module types (both the Standard ML and Objective Caml) flavors invaluable tools for managing complexity, understanding complexity, and placing unbreachable firewalls between different parts of large programs. I have had less good experiences with Haskell
Final note: these aren't really new issues. Decomposing systems into modules with separate interfaces checked by the compiler has been an issue in Ada, C, C++, CLU, Modula-3, and I'm sure many other languages. The main benefit of a system like Standard ML or Caml is the that you get explicit signatures and modular type checking (something that the C++ community is currently struggling with around templates and concepts). I suspect that these issues are timeless and are going to be important for any large system, no matter the language of implementation.
I'd say the opposite. It is easier to reason about programs written in functional languages due to the lack of side-effects.
Usually it is not a matter of "functional" vs "procedural"; it is rather a matter of lazy evaluation.
Lazy evaluation is when you can handle values without actually computing them yet; rather, the value is attached to an expression which should yield the value if it is needed. The main example of a language with lazy evaluation is Haskell. Lazy evaluation allows the definition and processing of conceptually infinite data structures, so this is quite cool, but it also makes it somewhat more difficult for a human programmer to closely follow, in his mind, the sequence of things which will really happen on his computer.
For mostly historical reasons, most languages with lazy evaluation are "functional". I mean that these language have good syntaxic support for constructions which are typically functional.
Without lazy evaluation, functional and procedural languages allow the expression of the same algorithms, with the same complexity and similar "readability". Functional languages tend to value "pure functions", i.e. functions which have no side-effect. Order of evaluation for pure function is irrelevant: in that sense, pure functions help the programmer in knowing what happens by simply flagging parts for which knowing what happens in what order is not important. But that is an indirect benefit and pure functions also appear in procedural languages.
From what I can say, here are the key advantages of functional languages to cope with complexity :
Functional programming hates side-effects.
You can really black-box the different layers
and you won't be afraid of parallel processing
(actor model like in Erlang is really easier to use
than locks and threads).
Culturally, functional programmer
are used to design a DSL to express
and solve a problem. Identifying the fundamental
primitives of a problem is a radically
different approach than rushing to the brand
new trendy framework.
Historically, this field has been led by very smart people :
garbage collection, object oriented, metaprogramming...
All those concepts were first implemented on functional platform.
There is plenty of literature.
But the downside of those languages is that they lack support and experience in the industry. Having portability, performance and interoperability may be a real challenge where on other platform like Java, all of this seems obvious. That said, a language based on the JVM like Scala could be a really nice fit to benefit from both sides.
Does program flow become difficult to
follow more quickly than if a
non-functional language is used?
This may be the case, in that functional style encourages the programmer to prefer thinking in terms of abstract, logical transformations, mapping inputs to outputs. Thinking in terms of "program flow" presumes a sequential, stateful mode of operation--and while a functional program may have sequential state "under the hood", it usually isn't structured around that.
The difference in perspective can be easily seen by comparing imperative vs. functional approaches to "process a collection of data". The former tends to use structured iteration, like a for or while loop, telling the program "do this sequence of tasks, then move to the next one and repeat, until done". The latter tends to use abstracted recursion, like a fold or map function, telling the program "here's a function to combine/transform elements--now use it". It isn't necessary to follow the recursive program flow through a function like map; because it's a stateless abstraction, it's sufficient to think in terms of what it means, not what it's doing.
It's perhaps somewhat telling that the functional approach has been slowly creeping into non-functional languages--consider foreach loops, Python's list comprehensions...

Resources