Showing posts with label functional programming. Show all posts
Showing posts with label functional programming. Show all posts

10 March 2024

Programming with Nothing

I like extreme coding constraints. A constraint, also known as an activity, is a challenge during a kata, coding dojo or code retreat designed to help participants think about writing code differently than they would otherwise. Every constraint has a specific learning goal in mind, for example Verbs instead of Nouns. After playing with basic constraints for a long time now, I need more challenging tasks. Combining existing constraints makes things harder: For example Object Callisthenics or my very own Brutal Coding Constraints are way harder than their parts applied individually.

Void (licensed CC BY-NC-ND by Jyotsna Sonawane)Missing Feature Group of Constraints
There is a another group of extreme constraints which I call the Programming With Nothing constraints. They are a subgroup of the Only Use <placeholder> constraints. All of these belong to the Missing Feature group. The well known No If and No Naked Primitives constraints are good examples of Missing Features because we take away a single element that we are so very much used to. Only Use <placeholder> constraints force you to use new constructs instead of something else. For example, Alexandru Bolboaca, the pioneer of Coderetreat in Europe, once mentioned the following constraints to me: Only Bit Operations replaces all arithmetic operations, like plus or multiply, with bit operations and Only Regular Expressions asks you to use Regular Expressions as much as possible. You can get pretty far with Regular Expressions in exercises like Balanced Brackets, Coin Change, Snake or Word Wrap. (Look for the Bonus Round at the bottom of the Word Wrap page.)

Programming With Nothing
But let us get back to Programming With Nothing. The first one of this group, which I came across ten years ago, was presented by Tom Stuart in his 2011 Ru3y Manor talk Programming With Nothing. Tom is taking functional programming to the extreme, only allowing the declaration of lambda expressions and calling them. The exact rules he is following are:
  • Create functions with one argument.
  • Call functions and return a result.
  • Assign functions to names (abbreviate them as constants).
Basically he is using the Lambda Calculus and this constraint is also referred to as Lambda Calculus. His talk is using Ruby, using only Proc.new, no booleans, numbers or strings, no assignments, control flow constructs or standard library. Clearly he is programming with nothing. (Here is the recording of the talk, his slides and the code.) Over the years I have seen similar presentations, even using Java.

The Fizz Buzz Kata
The goal is to implement the Fizz Buzz kata. While Fizz Buzz is very simple, it needs looping integer numbers up to 100, conditionals on integer comparison, integer division and strings. It is very small but not simple. Some people even use it during job interviews - which is controversial. The whole Fizz Buzz is:
for (i = 1; i <= 100; i++) {
  if (i % 3*5 == 0) 
    print("FizzBuzz");
  else if (i % 3 == 0) 
    print("Fizz");
  else if (i % 5 == 0) 
    print("Buzz");
  else 
    print(i);
}
And this is quite a lot if all you have is a lambda. I maintain a starting point for TypeScript, to be used in my workshops. This kind of exercise is fun, at least for me ;-). If you follow the assignment, i.e. work on numbers, then booleans, then pairs etc., you can use Git branches to jump to the next milestone - or take a sneak peak how it could be done.

Nothing Happened (licensed CC BY-SA by Henry Burrows)Extreme Object-Orientation
In 2015 I watched John Cinnamond's Extreme Object-Oriented Ruby, which is like Tom Stuart's Programming with Nothing. This version only allowed you to define objects which contain other objects and call the nested object's methods or return them. In his starter repository he described how to simulate booleans, numbers and so on.

Nothing but NAND
Then I tried to write Fizz Buzz only using NAND. This is Programming With Nothing the hardware way. How so? A NAND gate is a logic gate which produces an output which is false only if all its inputs are true; thus its output is complement to that of an AND says Wikipedia. More importantly, the NAND gate is significant because any Boolean function can be implemented by using a combination of NAND gates. This property is called functional completeness.. Because of its functional completeness it should be possible to create arbitrary programs. I started out with a Bit class which had its nand() function implemented and all other code was built on top of this. Numbers, i.e. arrays of bits,
class Numbers {

  static final Byt ZERO = new Byt(OFF, OFF, OFF, OFF, OFF, OFF, OFF, OFF);

  // ...

  static final Byt FIFTEEN = new Byt(ON, ON, ON, ON, OFF, OFF, OFF, OFF);
  static final Byt HUNDRED = new Byt(OFF, OFF, ON, OFF, OFF, ON, ON, OFF);
}
and bitwise logic,
class Logic {

  static Bit eq(Bit a, Bit b) {
    return not(xor(a, b));
  }

  // ...

  static Byt and(Byt a, Byt b) {
    return not(nand(a, b));
  }

  // ...

  static Byt ifThenElse(Bit b, Byt theThen, Byt theElse) {
    Byt condition = Byt.from(b);
    return or(and(condition, theThen), 
              and(not(condition), theElse));
  }
}
were straight forward. Arithmetic was cumbersome due to possible over- and underflows.
class Arithmetic {

  static BitOverflow inc(Bit b) {
    return new BitOverflow(not(b), b);
  }

  static BitOverflow add(Bit a, Bit b) {
    return new BitOverflow(xor(a, b), and(a, b));
  }

  // ...

  static Byt inc(Byt a) {
    BitOverflow r0 = add(a.b0, Bit.ON);
    BitOverflow r1 = add(a.b1, r0.overflow);
    BitOverflow r2 = add(a.b2, r1.overflow);
    BitOverflow r3 = add(a.b3, r2.overflow);
    BitOverflow r4 = add(a.b4, r3.overflow);
    BitOverflow r5 = add(a.b5, r4.overflow);
    BitOverflow r6 = add(a.b6, r5.overflow);
    BitOverflow r7 = add(a.b7, r6.overflow);
    return new Byt(r0.b,r1.b,r2.b,r3.b,r4.b,r5.b,r6.b,r7.b);
  }
}
For loops I added a sequence of bits which worked as the Instruction Pointer. Using the IP and the existing arithmetic operations I implemented goto which I used to jump back during loops. The final code did not look much different than your regular structural code, using functions and mutable data. The exact list of things I used was:
  • Data structures for a single bit, a byte (8 bits) and a series of bytes i.e. memory.
  • Bit nand(Bit other) as the only logic provided.
  • Getting and setting the values of the data structures.
  • Defining functions with multiple statements to create and modify data and call other functions.
  • A map to associate statements with memory addresses indexed by the IP. Was this cheating?
I had played with assembly in the past, which helped me to build my program from NANDs alone. It is a great learning exercise to understand computers' logical components and CPUs. There is even an educational game based on the idea of NAND.

What is Next?
I cannot remember how I ended up there, but next I tried to write Fizz Buzz using a Touring Machine. But this is a story for another time...

23 September 2017

Verbs instead of Nouns

Verbs instead of Nouns is a basic Coderetreat activity. It was used right from the beginning of Coderetreat. I tried it the first time during the GDCR 2012. The goal was to focus on verbs instead of nouns (obviously ;-). By searching for verb names, we did not think about what a class represented or contained, rather what it did.

Constraints in General
A constraint, also known as an activity, is an artificial challenge during an exercise, e.g. code kata, coding dojo or Coderetreat. It is designed to help participants think about writing code differently than they would otherwise. Every activity has a specific learning goal in mind.

Constraints are the primary tool to focus a coding exercise. For example, to improve my Object Orientation, I will practise Jeff Bay's Object Calisthenics or even Brutal Coding Constraints. Some constraints are an exaggeration of a fundamental rule of clean code or object oriented design and might be applicable during day to day work. More extreme ones will still help you understand the underlying concepts.

Learning Goal
Verbs instead of Nouns is listed as stretch activity. Stretch activities are designed to push you out of your usual coding habits - your coding comfort zone - and broaden your horizon by showing you new ways how to do things. By design stretch activities might look awkward, ridiculous or even plain wrong.

The learning goal of Verbs instead of Nouns is to push you out of noun oriented thinking. Noun oriented thinking is a way of object orientation, where the nouns of the problem description become classes, and the verbs become methods. This is the classic definition of Object Oriented Analysis and Design. As with any technique, following it blindly is not healthy. According to Alan Kay Object Oriented Programming is about messaging and encapsulation. He wanted "to get rid of data". His objects are defined by the messages they accept. Object orientated programming becomes verb based, if we focus on behaviour.

In functional programming, verbs are natural. All activities are functions. For example Steve Yegge describes functional programming as verb based in his humorous critique of 2006's style Java. Verbs instead of Nouns is an object oriented constraint.

VerbInterpretation of the Constraint
Besides its name there is no information about this constraint available on the Coderetreat site. There was a discussion how to meet the constraint (which has been deleted to make space for the new GDCR organisation): Separate value objects from operations and build service objects for the operations, which would be named with a verb. Or do not consider what a class contains or represents, but what it does. This keeps the concerns separated and the classes small and simple.

Being a Value
Obviously not everything can be named with a verb. Values, at least primitive values, are things: 2, true, "Hello". The Oxford Dictionary explains value - the way we use it in code - as the numerical amount denoted by an algebraic term; a magnitude, quantity, or number. Now "Hello" is neither a quantity nor number, it is a constant term. The entry about Value Object on Wikipedia defines a value object as a small object that represents a simple entity whose equality is not based on identity: i.e. two value objects are equal when they have the same value, not necessarily being the same object.. The definition uses "having the same value"... I am not getting anywhere.

On the other hand, in the Lambda Calculus, even numbers are represented as functions. For example the number two can be represented by the higher order function n2(f,x) = f(f(x)), see Tom Stuart's Programming with Nothing. Being a function makes it verb based but which which verb would name n2(f,x)?

Suitable Exercises
For a stretch exercise, a suitable exercise is challenging. There is no point if everything goes smooth. We need an assignment that does not support the constraint. Everything that is functional in nature is not suitable, because functions are verb based. This rules out algorithmic exercises as algorithms are usually functional. We need a kata with some state - some "values" - and the need to mutate that. Let's try different problems.

Discussion of Game of Life
As I said, I did Verbs instead of Nouns first on the Game of Life. While Game of Life is a larger exercise, most of it can be implemented in a functional way, lending itself to the constraint. Here are some of its classes:

Classify has two implementations, ClassifyPopulation and ClassifyReproduction. Both classes check if a population is optimal for survival or not. There is one public method and its arguments are passed into the constructor. These classes are functors, function objects, the representation of functions in object oriented languages. The class name suits these class and the verb oriented thinking helped in extracting and evolving them.

LocateCell represents the position of the cells in the grid. It contains two integers x, y and an equals method to identify same positions. What is the verb of being a coordinate? A coordinate locates, as it discovers the exact place or position of something (Oxford Dictionary). Here Coordinate might be a more natural name.

I am unhappy with LookupLivingCells. It has two methods reproduce and isAlive. The verb Lookup only points to the second method. A proper class name should contain all functionality the class offers, so LookupAndTrackLivingCells is more appropriate. I do not like class names with And in them because they violate the Single Responsibility Principle. On the other hand - in an object oriented way - the class is fine as it encapsulates the collection of LocateCells and represents a Generation of cells.

Discussion of Trivia
Next I tried refactoring towards the constraint. Refactoring towards a constraint allows a more fine grained transition. Together with fellow craftsman Johan Martinsson we worked on the Trivia exercise and spent several hours extracting "verbs" from the legacy code base. (Many of the observations I describe later were made by Johan or found through discussion with him.) Let's look at some of the classes we created:

We extracted Ask. An noun oriented name might be Questions or QuestionsDeck. It is a closure over the list of questions and it does ask them.

MovePlayerOnBoard contains the board of the Trivia game. We felt being unable to escape our mental model of objects as state. On the other hand, the code for the class was chosen only by looking at the behaviour. It must be good. MovePlayerOnBoard has one public method but is not a functor because it contains mutable state, the positions of the players on the board.

Score is a similar reasonable class by object oriented standard. A player scores by answering correctly, or does not score by answering wrongly. Like MovePlayerOnBoard and AllowToPlay, it is a real object with internal, encapsulated state and various methods manipulating its state. These classes are far away from functors and functional programming.

Conclusion
Verbs are abstractions, too. There are "small verbs" like increasePurse, and higher level ones like moveAndAsk. Smaller verbs are easier to identify and to create or extract. Most of our verbs encapsulate primitives. If the code is primarily state, finding a suitable verb is hard. These verb names feel even more "wrong" than other verb oriented names. Maybe, when we only behaviour of a class is mutating the subject, we should show the subject in its name.

Responsibilities
A method that does much is difficult to name with a single verb. In the refactoring exercise, we moved out logic to make the describing verb(s) simpler, clearer and "pure". During refactoring we had trouble finding concise verbs for convoluted legacy methods. I guess when creating verb based code from scratch, such methods would never exist. Naming classes as verbs helps to split logic into more classes containing different aspects of data.

Design
Many verb oriented classes are functors, objects with a single method. Some are closing over state. There are classes with different aspects of the same verb, e.g. answerCorrectly and answerWrongly in a class Answer. Despite some weird names, the resulting design was always good. The constraint drives to nice, small, focused objects.

Usefulness as Exercise
The constraint is difficult. Especially when dealing with state, it is hard to find verb oriented names. It forces small, focused objects and discourages state oriented designs like Java Beans. Intermediate Object Oriented programmers will gain most of the constraint. They understand the basics of objects and usually create noun based classes. With more knowledge of object oriented design principles like SOLID, the constraint might have has less impact on the design.

Example Code

23 October 2010

Concepts of Functional Programming

Last week I had the pleasure to give a presentation at Javaabend in Vienna. Javaabend (German for Java evening) is a local Java user group event organised by openForce Information Technology at irregular intervals.

LambdaA Little Rant
This presentation has a long history, so I will start with a little rant. Last year when I started playing around with Scala, we (read some enthusiastic employees) formed an informal study group to have a look at functional languages and Scala in particular. In the beginning we made good progress and had quite some fun and met biweekly. Unfortunately the organisation had a strange attitude to training (as well as to public relations) and we were disbanded. Being stubborn as I am, I managed to establish a budget from "another source" after some time and started preparing this presentation for the monthly "Developer Round Table". The presentation was postponed several times and in the end I left the company for good.

Scope of Presentation
Now let's come back to the presentation. Talking about the principles of functional programming is a bit off-topic for the Code Cop and it's just scratching the surface of the core principles: purity, higher order functions, closures, currying, continuations and (well not really) monads. I'm no expert on functional programming, so feel free to comment corrections or clarifications. Especially the concept of monads is a bit mysterious.

Slides
Download the Concepts of Functional Programming slides. As usual the slides are not very useful without my explanations because they entirely consist of single words and/or images. This is my take on the current presentation style. I received some good feedback on the style and especially the images. One attendee even told me that the images were "too" good for him, he was distracted by them. (Thank you Flickr community for all these wonderful CC licensed images.)

MonadsDiscussion
After the presentation there was an interesting discussion on the advantages of functional programming over the imperative style, e.g. Java.
  • Is it easier to get things done with many lines of simple, imperative code, compared to one line of functional code (that most definitely does not look simple when you are new to the area)?
  • Are the functional paradigms more difficult to comprehend? Is this the reason that functional programming isn't used as widespread as the imperative one? Would the average developer produce bad quality code when using functional languages?
These are difficult questions, only time will tell.

ResourcesAcknowledgement
Researching the core principles of functional programming was part of a System One Research Day.