handouts/pep-ho.tex
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\documentclass{article}
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\usepackage{../style}
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\usepackage{../langs}
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\usepackage{marvosym}
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%cheat sheet
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%http://worldline.github.io/scala-cheatsheet/
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% case class, apply, unapply
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% see https://medium.com/@thejasbabu/scala-pattern-matching-9c9e73ba9a8a
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\begin{document}
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\fnote{\copyright{} Christian Urban, King's College London, 2017, 2018}
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\section*{A Crash-Course in Scala}
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\mbox{}\hfill\textit{``Scala --- \underline{S}lowly \underline{c}ompiled 
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\underline{a}cademic \underline{la}nguage''}\smallskip\\
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\mbox{}\hfill\textit{ --- a joke on Twitter}\bigskip
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\noindent
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Scala is a programming language that combines functional and
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object-oriented programming-styles. It has received quite a bit of
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attention in the last five or so years. One reason for this attention is
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that, like the Java programming language, Scala compiles to the Java
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Virtual Machine (JVM) and therefore Scala programs can run under MacOSX,
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Linux and Windows.\footnote{There are also experimental backends of
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Scala for producing code under Android (\url{http://scala-android.org});
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for generating JavaScript code to build browser applications
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\url{(https://www.scala-js.org)}; and there is work under way to
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have a native Scala compiler generating X86-code
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(\url{http://www.scala-native.org}).} Because of this it has also access to
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the myriads of Java libraries. Unlike Java, however, Scala often allows
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programmers to write very concise and elegant code.  Some therefore say:
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``Scala is the better Java''.\footnote{from
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\url{https://www.slideshare.net/maximnovak/joy-of-scala}} A number
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of companies---the Guardian, Twitter, Coursera, FourSquare, LinkedIn,
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Netflix to name a few---either use Scala exclusively in production code,
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or at least to some substantial degree. Scala seems also useful in
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job-interviews (especially in Data Science) according to this anecdotal
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report
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\begin{quote}
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\url{http://techcrunch.com/2016/06/14/scala-is-the-new-golden-child}
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\end{quote}
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\noindent
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The official Scala compiler can be downloaded from
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\begin{quote}
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\url{http://www.scala-lang.org}
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\end{quote}
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\noindent
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I found a convenient IDE for Scala programming is Microsoft's
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\textit{Visual Studio Code} (VS Code) which runs under MacOSX, Linux and
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obviously Windows. It can be downloaded for free from
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\begin{quote}
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\url{https://code.visualstudio.com}
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\end{quote}
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\noindent
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and should already come pre-installed in the Department (together with
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the Scala compiler). VS Code is far from perfect, however it includes a
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\textit{Marketplace} from which a multitude of extensions can be
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downloaded that make editing and running Scala code easier (see
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Figure~\ref{vscode} for my own setup).
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\begin{figure}[t]
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\begin{center}  
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\includegraphics[scale=0.15]{../pics/vscode.png}\\[-10mm]\mbox{}
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\end{center}
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\caption{My personal installation of VS Code includes the following
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packages from Marketplace: Scala Syntax (official), Code Runner, Code
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Spell Checker, Rewrap and Subtle Match Brackets. I have also bound keys
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\keys{\^{}} \keys{Ret} to the action
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``Run-Selected-Text-In-Active-Terminal'' in order to quickly evaluate
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small code snippets in the Scala REPL.\label{vscode}}
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\end{figure}  
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What I like most about VS Code is that it provides an easy access to the
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Scala REPL. But if you prefer your own editor for coding, it
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is also painless to work with Scala completely on the command line (like you
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might have done with \texttt{g++} in the earlier part of PEP). For the
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lazybones among us, there is even an online editor and environment for
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developing and running Scala programs called \textit{ScalaFiddle}, which
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requires zero setup (assuming you have a browser handy). You can access
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it from:
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\begin{quote}
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\url{https://scalafiddle.io}
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\end{quote}
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Scala can be used with the heavy-duty IDEs Eclipse and IntelliJ.
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A ready-made Scala bundle for Eclipse is available from
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\begin{quote}
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\url{http://scala-ide.org/download/sdk.html}
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\end{quote}
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\noindent
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Also IntelliJ includes plugins for Scala. \textbf{BUT}, I do not
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recommend the usage of either Eclipse or IntelliJ for PEP: these IDEs
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seem to make your life harder, rather than easier, for the small
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programs we will write in this module. They are really meant to be used
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when you have a million-lines codebase, rather than our
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``toy-programs''\ldots{}for example why on earth am I required to create a
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completely new project with several subdirectories when I just want to
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try out 20-lines of Scala code? ;o)
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\subsection*{Why Functional Programming?}
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Before we go on, let me explain a bit more why we want to inflict
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upon you another programming language. You hopefully have mastered Java and
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C++\ldots{}the world should be your oyster, no? Well, it is not that
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easy. We require Scala in PEP, but actually we do not deeply care
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whether you learn Scala---after all it is just a programming language
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(albeit a nifty one IMHO). What we do care about is that you learn about
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\textit{functional programming}. Scala is just the vehicle for that.
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Very likely writing programs in a functional programming language is
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quite different from what you are  used to in your study so far. It
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might even be totally alien to you. The reason is that functional
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programming seems to go against the core principles of
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\textit{imperative programming} (which is what you do in Java and C++
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for example). The main idea of imperative programming  is that you have
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some form of ``state'' in your program and you continuously change this
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state by issuing some commands (e.g.~updating a field in an array,
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adding one to a variable and so on). The classic example for this style
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of programming is a \texttt{for}-loop, say
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\begin{lstlisting}[language=C,numbers=none]
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  for (int i = 10; i < 20; i++) { 
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      ...Do something interesting with i...
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   }
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\end{lstlisting}
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\noindent Here the variable \texttt{i} embodies the state, which is
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first set to \texttt{10} and then increased by one in each
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loop-iteration until it reaches \texttt{20} when the loop is exited.
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When this code is compiled and actually runs, there will be some
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dedicated space reserved in memory which contains the value of
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\texttt{i}\ldots\texttt{10} at the beginning, and then the content will
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be updated, or replaced, by some new content in every iteration.  The
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main point here is that this kind of updating, or manipulating, memory 
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is \textbf{PURE EVIL}!!
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\noindent
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\ldots{}Well, it is perfectly benign if you have a sequential program
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that gets run instruction by instruction...nicely one after another.
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This kind of running code uses a single core of your CPU and goes as
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fast as your CPU frequency (or clock-speed) allows. Unfortunately, this
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clock-speed has not much increased over the past few years and no
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dramatic increases are predicted any time soon. So you are a bit stuck,
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unlike previous generations of developers who could rely upon the fact
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that every 2 years or so their code run twice as fast (in ideal
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circumstances) because the clock-speed of their CPUs got twice as fast.
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This unfortunately does not happen any more nowadays. To get you out of
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this embarrassing situation, CPU producers pile more and more cores into
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CPUs in order to make them more powerful and potentially make software
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faster. The task for you as developer is to take somehow advantage of
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these cores by running as much of your code as possible in parallel on
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as many core you have available (typically 4 in modern laptops and
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sometimes much more on high-end machines). In this situation,
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\textit{mutable} variables like \texttt{i} above are evil, or at least a
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major nuisance. Because if you want to distribute some of the
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loop-iterations over the cores that are currently idle in your system,
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you need to be extremely careful about who can read and write (update)
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the variable \texttt{i}.\footnote{If you are of the belief that nothing
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nasty can happen to \texttt{i} inside the \texttt{for}-loop, then you
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need to go back over the C++ material.} Especially the writing operation
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is critical because you do not want that conflicting writes mess about
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with \texttt{i}. An untold amount of misery has arisen from this
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problem. The catch is that if you try to solve this problem in C++ or
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Java, and be as defensive as possible about reads and writes to
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\texttt{i}, then you need to synchronise access to it and as a result
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your program more often than not waits more than it runs, thereby
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defeating the point of trying to run the program in parallel in the
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first place. If you are less defensive, then usually all hell breaks
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loose by seemingly obtaining random results. And forget the idea of
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being able to debug such code.
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The idea of functional programming is to eliminate any state from
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programs. Because then it is easy to parallelize the resulting programs:
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if you do not have any state, then once created all memory content stays
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unchanged and reads to such memory are absolutely safe without the need
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of any synchronisations. An example is given in Figure~\ref{mand} where
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in the absence of annoying state, Scala makes it easy to calculate the
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Mandelbrot set on as many cores of your CPU as possible. Why is it so
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easy in this example? Because each pixel in the Mandelbrot set can be
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calculated independently and the calculation does not need to update any
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variable. It is so easy in fact, that going from the sequential version
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of the program to the parallel version can be done by adding just eight
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characters. What is not to be liked about that (try the same in C++)?
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\begin{figure}[p]
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  \includegraphics[scale=0.15]{../pics/mand1.png}
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  \includegraphics[scale=0.15]{../pics/mand4.png}
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  \includegraphics[scale=0.15]{../pics/mand3.png}
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\caption{\label{mand}}
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\end{figure}  
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But remember that this easy parallelisation of code requires that we
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have no state in our program\ldots{} that is no counters like\texttt{i}
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in \texttt{for}-loops. You might then ask, how do I write loops without
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such counters? Well, teaching you that this is possible is the main
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point of the Scala-part in PEP. I can assure you it is possible, but you
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have to get your head around it. Once you mastered this, it will be fun
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to have no state in your programs (a side product is that it much easier
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to debug state-less code; and the memory we might waste by not allowing
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in-place updates is taken care of by the memory garbage collector of
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Java and Scala).
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\subsection*{The Very Basics}
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One advantage of Scala over Java is that it includes an interpreter (a
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REPL, or
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\underline{R}ead-\underline{E}val-\underline{P}rint-\underline{L}oop)
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with which you can run and test small code snippets without the need
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of a compiler. This helps a lot with interactively developing
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programs. This is really my preferred way of writing small Scala
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programs. Once you installed Scala, you can start the interpreter by
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typing on the command line:
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\begin{lstlisting}[language={},numbers=none,basicstyle=\ttfamily\small]
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$ scala
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Welcome to Scala 2.12.6 (Java HotSpot(TM) 64-Bit Server VM, Java 9).
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Type in expressions for evaluation. Or try :help.
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scala>
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\end{lstlisting}%$
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\noindent The precise response may vary depending
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on the version and platform where you installed Scala. At the Scala
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prompt you can type things like \code{2 + 3}\;\keys{Ret} and
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the output will be
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\begin{lstlisting}[numbers=none]
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scala> 2 + 3
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res0: Int = 5
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\end{lstlisting}
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\noindent indicating that the result of the addition is of type
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\code{Int} and the actual result is 5; \code{res0} is a name that
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Scala gives automatically to the result. You can reuse this name later
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on. 
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\begin{lstlisting}[numbers=none]
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scala> res0 + 4
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res1: Int = 9
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\end{lstlisting}
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\noindent
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Another classic example you can try out is
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\begin{lstlisting}[numbers=none]
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scala> print("hello world")
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hello world
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\end{lstlisting}
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\noindent Note that in this case there is no result. The
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reason is that \code{print} does not actually produce a result
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(there is no \code{resX} and no type), rather it is a
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function that causes the \emph{side-effect} of printing out a
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string. Once you are more familiar with the functional
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programming-style, you will know what the difference is
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between a function that returns a result, like addition, and a
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function that causes a side-effect, like \code{print}. We
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shall come back to this point later, but if you are curious
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now, the latter kind of functions always has \code{Unit} as
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return type. It is just not printed.
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You can try more examples with the Scala REPL, but feel free to
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first guess what the result is (not all answers by Scala are obvious):
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\begin{lstlisting}[numbers=none]
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scala> 2 + 2
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scala> 1 / 2
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scala> 1.0 / 2
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scala> 1 / 2.0
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scala> 1 / 0
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scala> 1.0 / 0.0
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scala> true == false
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scala> true && false
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scala> 1 > 1.0
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scala> "12345".length
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scala> List(1,2,1).size
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scala> Set(1,2,1).size
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\end{lstlisting}\smallskip
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\noindent
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Please take the Scala REPL seriously: If you want to take advantage of my
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reference implementation for the assignments, you will need to be
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able to ``play around'' with it!
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\subsection*{Standalone Scala Apps}
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If you want to write a stand-alone app in Scala, you can
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implement an object that is an instance of \code{App}, say
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\begin{lstlisting}[numbers=none]
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object Hello extends App {
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    println("hello world")
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}
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\end{lstlisting}
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\noindent save it in a file, for example {\tt hello-world.scala}, and
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then run the compiler (\texttt{scalac}) and followed by the runtime
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environment (\texttt{scala}):
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\begin{lstlisting}[language={},numbers=none,basicstyle=\ttfamily\small]
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$ scalac hello-world.scala
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$ scala Hello
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hello world
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\end{lstlisting}
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\noindent
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Like Java, Scala targets the JVM and consequently
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Scala programs can also be executed by the bog-standard Java
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Runtime. This only requires the inclusion of {\tt
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scala-library.jar}, which on my computer can be done as
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follows:
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\begin{lstlisting}[language={},numbers=none,basicstyle=\ttfamily\small]
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$ scalac hello-world.scala
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$ java -cp /usr/local/src/scala/lib/scala-library.jar:. Hello
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hello world
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\end{lstlisting}
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\noindent You might need to adapt the path to where you have
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installed Scala.
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\subsection*{Values}
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In the lectures I will try to avoid as much as possible the term
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\emph{variables} familiar from other programming languages. The reason
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is that Scala has \emph{values}, which can be seen as abbreviations of
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larger expressions. For example
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\begin{lstlisting}[numbers=none]
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scala> val x = 42
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x: Int = 42
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scala> val y = 3 + 4
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y: Int = 7
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scala> val z = x / y
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z: Int = 6
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\end{lstlisting}
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\noindent
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Why the kerfuffle about values? Well, values are \emph{immutable}. You 
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cannot change their value after you defined them. If you try to reassign
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\code{z} above, Scala will yell at you:
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\begin{lstlisting}[numbers=none]
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scala> z = 9
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error: reassignment to val
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       z = 9
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         ^
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\end{lstlisting}
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\noindent
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So it would be a bit absurd to call values as variables...you cannot
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change them; they cannot vary. You might think you can re-assign them like
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\begin{lstlisting}[numbers=none]
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scala> val x = 42
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scala> val z = x / 7
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scala> val x = 70
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scala> println(z) 
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\end{lstlisting}
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\noindent but try to guess what Scala will print out 
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for \code{z}?  Will it be \code{6} or \code{10}? A final word about
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values: Try to stick to the convention that names of values should be
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lower case, like \code{x}, \code{y}, \code{foo41} and so on.
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\subsection*{Function Definitions}
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We do functional programming! So defining functions will be our main occupation.
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As an example, a function named \code{f} taking a single argument of type 
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\code{Int} can be defined in Scala as follows:
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\begin{lstlisting}[numbers=none]
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def f(x: Int) : String = ...EXPR...
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\end{lstlisting} 
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\noindent
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This function returns the value resulting from evaluating the expression
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\code{EXPR} (whatever is substituted for this). The result will be
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of type \code{String}. It is a good habit to include this information
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about the return type always. Simple examples of Scala functions are:
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\begin{lstlisting}[numbers=none]
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def incr(x: Int) : Int = x + 1
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def double(x: Int) : Int = x + x
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def square(x: Int) : Int = x * x
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\end{lstlisting}
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\noindent
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The general scheme for a function is
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\begin{lstlisting}[numbers=none]
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def fname(arg1: ty1, arg2: ty2,..., argn: tyn): rty = {
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  BODY
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}
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\end{lstlisting}
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\noindent
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where each argument requires its type and the result type of the
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function, \code{rty}, should be given. If the body of the function is
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more complex, then it can be enclosed in braces, like above. If it it
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is just a simple expression, like \code{x + 1}, you can omit the
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braces. Very often functions are recursive (call themselves) like
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the venerable factorial function.
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\begin{lstlisting}[numbers=none]
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def fact(n: Int): Int = 
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  if (n == 0) 1 else n * fact(n - 1)
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\end{lstlisting}
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\subsection*{Loops, or better the Absence thereof}
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Coming from Java or C++, you might be surprised that Scala does
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not really have loops. It has instead, what is in functional
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programming called, \emph{maps}. To illustrate how they work,
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let us assume you have a list of numbers from 1 to 8 and want to
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build the list of squares. The list of numbers from 1 to 8 
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can be constructed in Scala as follows:
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\begin{lstlisting}[numbers=none]
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scala> (1 to 8).toList
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res1: List[Int] = List(1, 2, 3, 4, 5, 6, 7, 8)
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\end{lstlisting}
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\noindent Generating from this list, the list of squares in a
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programming language such as Java, you would assume the list
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is given as a kind of array. You would then iterate, or loop,
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an index over this array and replace each entry in the array
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by the square. Right? In Scala, and in other functional
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programming languages, you use maps to achieve the same. 
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A map essentially takes a function that describes how each
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element is transformed (for example squared) and a list over
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which this function should work. There are two forms to
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express such maps in Scala. The first way is called a
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\emph{for-comprehension}. Squaring the numbers from 1 to 8
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would look as follows:
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\begin{lstlisting}[numbers=none]
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scala> for (n <- (1 to 8).toList) yield n * n
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res2: List[Int] = List(1, 4, 9, 16, 25, 36, 49, 64)
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\end{lstlisting}
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\noindent The important keywords are \code{for} and
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\code{yield}. This for-comprehension roughly states that from
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the list of numbers we draw \code{n}s and compute the result
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of \code{n * n}. As you can see, we specified the list where
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each \code{n} comes from, namely \code{(1 to 8).toList}, and
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how each element needs to be transformed. This can also be
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expressed in a second way in Scala by using directly
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\code{map}s as follows:
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\begin{lstlisting}[numbers=none]
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scala> (1 to 8).toList.map(n => n * n)
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res3 = List(1, 4, 9, 16, 25, 36, 49, 64)
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\end{lstlisting}
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\noindent In this way, the expression \code{n => n * n} stands
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for the function that calculates the square (this is how the
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\code{n}s are transformed). This expression for functions
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might remind you of your lessons about the lambda-calculus
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where this would have been written as $\lambda n.\,n * n$. It
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   481
might not be obvious, but for-comprehensions are just
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   482
syntactic sugar: when compiling, Scala translates
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   483
for-comprehensions into equivalent maps. This even works
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   484
when for-comprehensions get more complicated (see below).
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   485
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   486
The very charming feature of Scala is that such maps or
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   487
for-comprehensions can be written for any kind of data
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   488
collection, such as lists, sets, vectors, options and so on.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   489
For example if we instead compute the reminders modulo 3 of
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   490
this list, we can write
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   491
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   492
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   493
scala> (1 to 8).toList.map(n => n % 3)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   494
res4 = List(1, 2, 0, 1, 2, 0, 1, 2)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   495
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   496
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   497
\noindent If we, however, transform the numbers 1 to 8 not
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   498
into a list, but into a set, and then compute the reminders
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   499
modulo 3 we obtain
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   500
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   501
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   502
scala> (1 to 8).toSet[Int].map(n => n % 3)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   503
res5 = Set(2, 1, 0)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   504
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   505
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   506
\noindent This is the correct result for sets, as there are
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   507
only three equivalence classes of integers modulo 3. Note that
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   508
in this example we need to ``help'' Scala to transform the
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   509
numbers into a set of integers by explicitly annotating the
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   510
type \code{Int}. Since maps and for-comprehensions are
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   511
just syntactic variants of each other, the latter can also be
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   512
written as
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   513
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   514
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   515
scala> for (n <- (1 to 8).toSet[Int]) yield n % 3
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   516
res5 = Set(2, 1, 0)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   517
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   518
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   519
For-comprehensions can also be nested and the selection of 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   520
elements can be guarded. For example if we want to pair up
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   521
the numbers 1 to 4 with the letters a to c, we can write
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   522
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   523
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   524
scala> for (n <- (1 to 4).toList; 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   525
            m <- ('a' to 'c').toList) yield (n, m)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   526
res6 = List((1,a), (1,b), (1,c), (2,a), (2,b), (2,c), 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   527
            (3,a), (3,b), (3,c), (4,a), (4,b), (4,c))
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   528
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   529
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   530
\noindent 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   531
Or if we want to find all pairs of numbers between 1 and 3
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   532
where the sum is an even number, we can write
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   533
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   534
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   535
scala> for (n <- (1 to 3).toList; 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   536
            m <- (1 to 3).toList;
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   537
            if (n + m) % 2 == 0) yield (n, m)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   538
res7 = List((1,1), (1,3), (2,2), (3,1), (3,3))
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   539
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   540
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   541
\noindent The \code{if}-condition in the for-comprehension
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   542
filters out all pairs where the sum is not even.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   543
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   544
While hopefully this all looks reasonable, there is one
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   545
complication: In the examples above we always wanted to
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   546
transform one list into another list (e.g.~list of squares),
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   547
or one set into another set (set of numbers into set of
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   548
reminders modulo 3). What happens if we just want to print out
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   549
a list of integers? Then actually the for-comprehension
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   550
needs to be modified. The reason is that \code{print}, you
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   551
guessed it, does not produce any result, but only produces
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   552
what is in the functional-programming-lingo called a
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   553
side-effect. Printing out the list of numbers from 1 to 5
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   554
would look as follows
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   555
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   556
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   557
scala> for (n <- (1 to 5).toList) print(n)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   558
12345
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   559
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   560
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   561
\noindent
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   562
where you need to omit the keyword \code{yield}. You can
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   563
also do more elaborate calculations such as
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   564
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   565
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   566
scala> for (n <- (1 to 5).toList) {
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   567
  val square_n = n * n
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   568
  println(s"$n * $n = $square_n") 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   569
}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   570
1 * 1 = 1
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   571
2 * 2 = 4
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   572
3 * 3 = 9
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   573
4 * 4 = 16
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   574
5 * 5 = 25
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   575
\end{lstlisting}%$
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   576
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   577
\noindent In this code I use a variable assignment (\code{val
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   578
square_n = ...} ) and also what is called in Scala a
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   579
\emph{string interpolation}, written \code{s"..."}. The latter
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   580
is for printing out an equation. It allows me to refer to the
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   581
integer values \code{n} and \code{square\_n} inside a string.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   582
This is very convenient for printing out ``things''. 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   583
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   584
The corresponding map construction for functions with 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   585
side-effects is in Scala called \code{foreach}. So you 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   586
could also write
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   587
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   588
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   589
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   590
scala> (1 to 5).toList.foreach(n => print(n))
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   591
12345
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   592
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   593
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   594
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   595
\noindent or even just
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   596
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   597
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   598
scala> (1 to 5).toList.foreach(print)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   599
12345
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   600
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   601
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   602
\noindent Again I hope this reminds you a bit of your
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   603
lambda-calculus lessons, where an explanation is given why
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   604
both forms produce the same result.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   605
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   606
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   607
If you want to find out more about maps and functions with
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   608
side-effects, you can ponder about the response Scala gives if
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   609
you replace \code{foreach} by \code{map} in the expression
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   610
above. Scala will still allow \code{map} with side-effect
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   611
functions, but then reacts with a slightly interesting result.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   612
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   613
\subsection*{Types}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   614
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   615
In most functional programming languages, types play an
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   616
important role. Scala is such a language. You have already
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   617
seen built-in types, like \code{Int}, \code{Boolean},
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   618
\code{String} and \code{BigInt}, but also user-defined ones,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   619
like \code{Rexp}. Unfortunately, types can be a thorny
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   620
subject, especially in Scala. For example, why do we need to
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   621
give the type to \code{toSet[Int]}, but not to \code{toList}?
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   622
The reason is the power of Scala, which sometimes means it
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   623
cannot infer all necessary typing information. At the
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   624
beginning while getting familiar with Scala, I recommend a
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   625
``play-it-by-ear-approach'' to types. Fully understanding
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   626
type-systems, especially complicated ones like in Scala, can
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   627
take a module on their own.\footnote{Still, such a study can
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   628
be a rewarding training: If you are in the business of
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   629
designing new programming languages, you will not be able to
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   630
turn a blind eye to types. They essentially help programmers
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   631
to avoid common programming errors and help with maintaining
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   632
code.}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   633
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   634
In Scala, types are needed whenever you define an inductive
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   635
datatype and also whenever you define functions (their
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   636
arguments and their results need a type). Base types are types
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   637
that do not take any (type)arguments, for example \code{Int}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   638
and \code{String}. Compound types take one or more arguments,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   639
which as seen earlier need to be given in angle-brackets, for
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   640
example \code{List[Int]} or \code{Set[List[String]]} or 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   641
\code{Map[Int, Int]}.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   642
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   643
There are a few special type-constructors that fall outside
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   644
this pattern. One is for tuples, where the type is written
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   645
with parentheses. For example 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   646
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   647
\begin{lstlisting}[ numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   648
(Int, Int, String)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   649
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   650
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   651
\noindent is for a triple (a tuple with three components---two
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   652
integers and a string). Tuples are helpful if you want to
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   653
define functions with multiple results, say the function
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   654
returning the quotient and reminder of two numbers. For this
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   655
you might define:
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   656
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   657
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   658
\begin{lstlisting}[ numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   659
def quo_rem(m: Int, n: Int) : (Int, Int) = (m / n, m % n)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   660
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   661
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   662
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   663
\noindent Since this function returns a pair of integers, its
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   664
return type needs to be of type \code{(Int, Int)}.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   665
Incidentally, this is also the input type of this function.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   666
Notice this function takes \emph{two} arguments, namely
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   667
\code{m} and \code{n}, both of which are integers. They are
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   668
``packaged'' in a pair. Consequently the complete type of
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   669
\code{quo_rem} is
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   670
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   671
\begin{lstlisting}[ numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   672
(Int, Int) => (Int, Int)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   673
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   674
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   675
Another special type-constructor is for functions, written as
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   676
the arrow \code{=>}. For example, the type \code{Int =>
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   677
String} is for a function that takes an integer as input
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   678
argument and produces a string as result. A function of this
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   679
type is for instance
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   680
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   681
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   682
def mk_string(n: Int) : String = n match {
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   683
  case 0 => "zero"
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   684
  case 1 => "one"
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   685
  case 2 => "two"
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   686
  case _ => "many" 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   687
} 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   688
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   689
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   690
\noindent It takes an integer as input argument and returns a
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   691
string. Unlike other functional programming languages, there
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   692
is in Scala no easy way to find out the types of existing
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   693
functions, except by looking into the documentation
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   694
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   695
\begin{quote}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   696
\url{http://www.scala-lang.org/api/current/}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   697
\end{quote}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   698
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   699
The function arrow can also be iterated, as in 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   700
\code{Int => String => Boolean}. This is the type for a function
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   701
taking an integer as first argument and a string as second,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   702
and the result of the function is a boolean. Though silly, a
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   703
function of this type would be
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   704
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   705
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   706
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   707
def chk_string(n: Int)(s: String) : Boolean = 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   708
  mk_string(n) == s
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   709
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   710
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   711
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   712
\noindent which checks whether the integer \code{n}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   713
corresponds to the name \code{s} given by the function
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   714
\code{mk\_string}. Notice the unusual way of specifying the
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   715
arguments of this function: the arguments are given one after
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   716
the other, instead of being in a pair (what would be the type
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   717
of this function then?). This way of specifying the arguments
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   718
can be useful, for example in situations like this
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   719
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   720
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   721
scala> List("one", "two", "three", "many").map(chk_string(2))
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   722
res4 = List(false, true, false, false)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   723
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   724
scala> List("one", "two", "three", "many").map(chk_string(3))
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   725
res5 = List(false, false, false, true)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   726
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   727
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   728
\noindent In each case we can give to \code{map} a specialised
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   729
version of \code{chk_string}---once specialised to 2 and once
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   730
to 3. This kind of ``specialising'' a function is called
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   731
\emph{partial application}---we have not yet given to this
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   732
function all arguments it needs, but only some of them.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   733
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   734
Coming back to the type \code{Int => String => Boolean}. The
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   735
rule about such function types is that the right-most type
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   736
specifies what the function returns (a boolean in this case).
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   737
The types before that specify how many arguments the function
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   738
expects and what their type is (in this case two arguments,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   739
one of type \code{Int} and another of type \code{String}).
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   740
Given this rule, what kind of function has type
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   741
\mbox{\code{(Int => String) => Boolean}}? Well, it returns a
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   742
boolean. More interestingly, though, it only takes a single
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   743
argument (because of the parentheses). The single argument
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   744
happens to be another function (taking an integer as input and
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   745
returning a string). Remember that \code{mk_string} is just 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   746
such a function. So how can we use it? For this define
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   747
the somewhat silly function \code{apply_3}:
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   748
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   749
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   750
def apply_3(f: Int => String): Bool = f(3) == "many"
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   751
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   752
scala> apply_3(mk_string)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   753
res6 = true
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   754
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   755
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   756
You might ask: Apart from silly functions like above, what is
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   757
the point of having functions as input arguments to other
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   758
functions? In Java there is indeed no need of this kind of
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   759
feature: at least in the past it did not allow such
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   760
constructions. I think, the point of Java 8 is to lift this
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   761
restriction. But in all functional programming languages,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   762
including Scala, it is really essential to allow functions as
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   763
input argument. Above you already seen \code{map} and
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   764
\code{foreach} which need this. Consider the functions
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   765
\code{print} and \code{println}, which both print out strings,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   766
but the latter adds a line break. You can call \code{foreach}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   767
with either of them and thus changing how, for example, five
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   768
numbers are printed.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   769
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   770
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   771
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   772
scala> (1 to 5).toList.foreach(print)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   773
12345
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   774
scala> (1 to 5).toList.foreach(println)
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   775
1
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   776
2
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   777
3
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   778
4
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   779
5
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   780
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   781
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   782
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   783
\noindent This is actually one of the main design principles
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   784
in functional programming. You have generic functions like
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   785
\code{map} and \code{foreach} that can traverse data containers,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   786
like lists or sets. They then take a function to specify what
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   787
should be done with each element during the traversal. This
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   788
requires that the generic traversal functions can cope with
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   789
any kind of function (not just functions that, for example,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   790
take as input an integer and produce a string like above).
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   791
This means we cannot fix the type of the generic traversal
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   792
functions, but have to keep them
181
5b889c263b6b updated
Christian Urban <urbanc@in.tum.de>
parents: 180
diff changeset
   793
\emph{polymorphic}.\footnote{Another interesting topic about
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   794
types, but we omit it here for the sake of brevity.} 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   795
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   796
There is one more type constructor that is rather special. It
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   797
is called \code{Unit}. Recall that \code{Boolean} has two
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   798
values, namely \code{true} and \code{false}. This can be used,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   799
for example, to test something and decide whether the test
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   800
succeeds or not. In contrast the type \code{Unit} has only a
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   801
single value, written \code{()}. This seems like a completely
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   802
useless type and return value for a function, but is actually
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   803
quite useful. It indicates when the function does not return
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   804
any result. The purpose of these functions is to cause
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   805
something being written on the screen or written into a file,
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   806
for example. This is what is called they cause some effect on 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   807
the side, namely a new content displayed on the screen or some
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   808
new data in a file. Scala uses the \code{Unit} type to indicate
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   809
that a function does not have a result, but potentially causes
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   810
some side-effect. Typical examples are the printing functions, 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   811
like \code{print}.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   812
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   813
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   814
% \subsection*{Cool Stuff}
123
006f71e905a1 updated
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parents:
diff changeset
   815
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   816
% The first wow-moment I had with Scala was when I came across
6f7ec7c531e9 updated
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parents: 125
diff changeset
   817
% the following code-snippet for reading a web-page. 
123
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parents:
diff changeset
   818
006f71e905a1 updated
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parents:
diff changeset
   819
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   820
% \begin{lstlisting}[ numbers=none]
6f7ec7c531e9 updated
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parents: 125
diff changeset
   821
% import io.Source
6f7ec7c531e9 updated
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parents: 125
diff changeset
   822
% val url = """http://www.inf.kcl.ac.uk/staff/urbanc/"""
6f7ec7c531e9 updated
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parents: 125
diff changeset
   823
% Source.fromURL(url)("ISO-8859-1").take(10000).mkString
6f7ec7c531e9 updated
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parents: 125
diff changeset
   824
% \end{lstlisting}
123
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parents:
diff changeset
   825
006f71e905a1 updated
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parents:
diff changeset
   826
143
6f7ec7c531e9 updated
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diff changeset
   827
% \noindent These three lines return a string containing the
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   828
% HTML-code of my webpage. It actually already does something
6f7ec7c531e9 updated
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parents: 125
diff changeset
   829
% more sophisticated, namely only returns the first 10000
6f7ec7c531e9 updated
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parents: 125
diff changeset
   830
% characters of a webpage in case it is too large. Why is that
6f7ec7c531e9 updated
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parents: 125
diff changeset
   831
% code-snippet of any interest? Well, try implementing
6f7ec7c531e9 updated
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parents: 125
diff changeset
   832
% reading-from-a-webpage in Java. I also like the possibility of
6f7ec7c531e9 updated
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parents: 125
diff changeset
   833
% triple-quoting strings, which I have only seen in Scala so
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   834
% far. The idea behind this is that in such a string all
6f7ec7c531e9 updated
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parents: 125
diff changeset
   835
% characters are interpreted literally---there are no escaped
6f7ec7c531e9 updated
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parents: 125
diff changeset
   836
% characters, like \verb|\n| for newlines.
123
006f71e905a1 updated
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parents:
diff changeset
   837
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   838
% My second wow-moment I had with a feature of Scala that other
6f7ec7c531e9 updated
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parents: 125
diff changeset
   839
% functional programming languages do not have. This feature is
6f7ec7c531e9 updated
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parents: 125
diff changeset
   840
% about implicit type conversions. If you have regular
6f7ec7c531e9 updated
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parents: 125
diff changeset
   841
% expressions and want to use them for language processing you
6f7ec7c531e9 updated
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parents: 125
diff changeset
   842
% often want to recognise keywords in a language, for example
6f7ec7c531e9 updated
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parents: 125
diff changeset
   843
% \code{for},{} \code{if},{} \code{yield} and so on. But the
6f7ec7c531e9 updated
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parents: 125
diff changeset
   844
% basic regular expression \code{CHAR} can only recognise a
6f7ec7c531e9 updated
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parents: 125
diff changeset
   845
% single character. In order to recognise a whole string, like
6f7ec7c531e9 updated
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parents: 125
diff changeset
   846
% \code{for}, you have to put many of those together using
6f7ec7c531e9 updated
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parents: 125
diff changeset
   847
% \code{SEQ}:
123
006f71e905a1 updated
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parents:
diff changeset
   848
006f71e905a1 updated
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parents:
diff changeset
   849
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   850
% \begin{lstlisting}[numbers=none]
6f7ec7c531e9 updated
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parents: 125
diff changeset
   851
% SEQ(CHAR('f'), SEQ(CHAR('o'), CHAR('r')))
6f7ec7c531e9 updated
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parents: 125
diff changeset
   852
% \end{lstlisting}
123
006f71e905a1 updated
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parents:
diff changeset
   853
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   854
% \noindent This gets quickly unreadable when the strings and
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   855
% regular expressions get more complicated. In other functional
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   856
% programming languages, you can explicitly write a conversion
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   857
% function that takes a string, say \dq{\pcode{for}}, and
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   858
% generates the regular expression above. But then your code is
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   859
% littered with such conversion functions.
123
006f71e905a1 updated
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parents:
diff changeset
   860
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   861
% In Scala you can do better by ``hiding'' the conversion
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   862
% functions. The keyword for doing this is \code{implicit} and
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   863
% it needs a built-in library called 
123
006f71e905a1 updated
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parents:
diff changeset
   864
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   865
% \begin{lstlisting}[numbers=none]
6f7ec7c531e9 updated
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parents: 125
diff changeset
   866
% scala.language.implicitConversions
6f7ec7c531e9 updated
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parents: 125
diff changeset
   867
% \end{lstlisting}
123
006f71e905a1 updated
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parents:
diff changeset
   868
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   869
% \noindent
6f7ec7c531e9 updated
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parents: 125
diff changeset
   870
% Consider the code
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   871
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   872
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   873
% \begin{lstlisting}[language=Scala]
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   874
% import scala.language.implicitConversions
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   875
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   876
% def charlist2rexp(s: List[Char]) : Rexp = s match {
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   877
%   case Nil => EMPTY
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   878
%   case c::Nil => CHAR(c)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   879
%   case c::s => SEQ(CHAR(c), charlist2rexp(s))
6f7ec7c531e9 updated
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parents: 125
diff changeset
   880
% }
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   881
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   882
% implicit def string2rexp(s: String) : Rexp = 
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   883
%   charlist2rexp(s.toList)
6f7ec7c531e9 updated
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parents: 125
diff changeset
   884
% \end{lstlisting}
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   885
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   886
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   887
% \noindent where the first seven lines implement a function
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   888
% that given a list of characters generates the corresponding
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   889
% regular expression. In Lines 9 and 10, this function is used
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   890
% for transforming a string into a regular expression. Since the
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   891
% \code{string2rexp}-function is declared as \code{implicit},
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   892
% the effect will be that whenever Scala expects a regular
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   893
% expression, but I only give it a string, it will automatically
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   894
% insert a call to the \code{string2rexp}-function. I can now
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   895
% write for example
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   896
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   897
% \begin{lstlisting}[numbers=none]
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   898
% scala> ALT("ab", "ac")
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   899
% res9 = ALT(SEQ(CHAR(a),CHAR(b)),SEQ(CHAR(a),CHAR(c)))
6f7ec7c531e9 updated
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parents: 125
diff changeset
   900
% \end{lstlisting}
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   901
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   902
% \noindent Recall that \code{ALT} expects two regular
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   903
% expressions as arguments, but I only supply two strings. The
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   904
% implicit conversion function will transform the string into a
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   905
% regular expression.
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   906
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   907
% Using implicit definitions, Scala allows me to introduce
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   908
% some further syntactic sugar for regular expressions:
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   909
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   910
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   911
% \begin{lstlisting}[ numbers=none]
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   912
% implicit def RexpOps(r: Rexp) = new {
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   913
%   def | (s: Rexp) = ALT(r, s)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   914
%   def ~ (s: Rexp) = SEQ(r, s)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   915
%   def % = STAR(r)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   916
% }
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   917
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   918
% implicit def stringOps(s: String) = new {
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   919
%   def | (r: Rexp) = ALT(s, r)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   920
%   def | (r: String) = ALT(s, r)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   921
%   def ~ (r: Rexp) = SEQ(s, r)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   922
%   def ~ (r: String) = SEQ(s, r)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   923
%   def % = STAR(s)
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   924
% }
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   925
% \end{lstlisting}
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   926
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   927
 
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   928
% \noindent This might seem a bit overly complicated, but its effect is
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   929
% that I can now write regular expressions such as $ab + ac$ 
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   930
% simply as
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   931
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   932
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   933
% \begin{lstlisting}[numbers=none]
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   934
% scala> "ab" | "ac"
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   935
% res10 = ALT(SEQ(CHAR(a),CHAR(b)),SEQ(CHAR(a),CHAR(c)))
6f7ec7c531e9 updated
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parents: 125
diff changeset
   936
% \end{lstlisting}
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   937
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   938
 
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   939
% \noindent I leave you to figure out what the other
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   940
% syntactic sugar in the code above stands for.
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   941
 
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   942
% One more useful feature of Scala is the ability to define
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   943
% functions with varying argument lists. This is a feature that
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   944
% is already present in old languages, like C, but seems to have
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   945
% been forgotten in the meantime---Java does not have it. In the
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   946
% context of regular expressions this feature comes in handy:
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   947
% Say you are fed up with writing many alternatives as
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   948
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   949
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   950
% \begin{lstlisting}[numbers=none]
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   951
% ALT(..., ALT(..., ALT(..., ...)))
6f7ec7c531e9 updated
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parents: 125
diff changeset
   952
% \end{lstlisting}
123
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parents:
diff changeset
   953
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   954
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   955
% \noindent To make it difficult, you do not know how deep such
6f7ec7c531e9 updated
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parents: 125
diff changeset
   956
% alternatives are nested. So you need something flexible that
6f7ec7c531e9 updated
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parents: 125
diff changeset
   957
% can take as many alternatives as needed. In Scala one can
6f7ec7c531e9 updated
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parents: 125
diff changeset
   958
% achieve this by adding a \code{*} to the type of an argument.
6f7ec7c531e9 updated
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parents: 125
diff changeset
   959
% Consider the code
123
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parents:
diff changeset
   960
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   961
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   962
% \begin{lstlisting}[language=Scala]
6f7ec7c531e9 updated
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parents: 125
diff changeset
   963
% def Alts(rs: List[Rexp]) : Rexp = rs match {
6f7ec7c531e9 updated
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parents: 125
diff changeset
   964
%   case Nil => NULL
6f7ec7c531e9 updated
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parents: 125
diff changeset
   965
%   case r::Nil => r
6f7ec7c531e9 updated
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parents: 125
diff changeset
   966
%   case r::rs => ALT(r, Alts(rs))
6f7ec7c531e9 updated
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parents: 125
diff changeset
   967
% }
123
006f71e905a1 updated
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parents:
diff changeset
   968
143
6f7ec7c531e9 updated
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   969
% def ALTS(rs: Rexp*) = Alts(rs.toList)
6f7ec7c531e9 updated
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parents: 125
diff changeset
   970
% \end{lstlisting}
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   971
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   972
143
6f7ec7c531e9 updated
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parents: 125
diff changeset
   973
% \noindent The function in Lines 1 to 5 takes a list of regular
6f7ec7c531e9 updated
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parents: 125
diff changeset
   974
% expressions and converts it into an appropriate alternative
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   975
% regular expression. In Line 7 there is a wrapper for this
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   976
% function which uses the feature of varying argument lists. The
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   977
% effect of this code  is that I can write the regular
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   978
% expression for keywords as
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   979
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   980
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   981
% \begin{lstlisting}[numbers=none]
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   982
% ALTS("for", "def", "yield", "implicit", "if", "match", "case")
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   983
% \end{lstlisting}
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   984
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   985
143
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   986
% \noindent Again I leave it to you to find out how much this
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   987
% simplifies the regular expression in comparison with if I had
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   988
% to write this by hand using only the ``plain'' regular
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   989
% expressions from the inductive datatype.
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   990
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   991
\bigskip\noindent
6f7ec7c531e9 updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   992
\textit{More TBD.}
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   993
181
5b889c263b6b updated
Christian Urban <urbanc@in.tum.de>
parents: 180
diff changeset
   994
\subsection*{Coursework}
5b889c263b6b updated
Christian Urban <urbanc@in.tum.de>
parents: 180
diff changeset
   995
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   996
\subsection*{More Info}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   997
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   998
There is much more to Scala than I can possibly describe in
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   999
this document. Fortunately there are a number of free books
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1000
about Scala and of course lots of help online. For example
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1001
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1002
\begin{itemize}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1003
\item \url{http://www.scala-lang.org/docu/files/ScalaByExample.pdf}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1004
\item \url{http://www.scala-lang.org/docu/files/ScalaTutorial.pdf}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1005
\item \url{https://www.youtube.com/user/ShadowofCatron}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1006
\item \url{http://docs.scala-lang.org/tutorials}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1007
\item \url{https://www.scala-exercises.org}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1008
\end{itemize}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1009
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1010
\noindent There is also a course at Coursera on Functional
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1011
Programming Principles in Scala by Martin Odersky, the main
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1012
developer of the Scala language. And a document that explains
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1013
Scala for Java programmers
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1014
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1015
\begin{itemize}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1016
\item \small\url{http://docs.scala-lang.org/tutorials/scala-for-java-programmers.html}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1017
\end{itemize}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1018
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1019
While I am quite enthusiastic about Scala, I am also happy to
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1020
admit that it has more than its fair share of faults. The
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1021
problem seen earlier of having to give an explicit type to
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1022
\code{toSet}, but not \code{toList} is one of them. There are
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1023
also many ``deep'' ideas about types in Scala, which even to
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1024
me as seasoned functional programmer are puzzling. Whilst
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1025
implicits are great, they can also be a source of great
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1026
headaches, for example consider the code:
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1027
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1028
\begin{lstlisting}[numbers=none]
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1029
scala>  List (1, 2, 3) contains "your mom"
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1030
res1: Boolean = false
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1031
\end{lstlisting}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1032
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1033
\noindent Rather than returning \code{false}, this code should
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1034
throw a typing-error. There are also many limitations Scala
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1035
inherited from the JVM that can be really annoying. For
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1036
example a fixed stack size. One can work around this
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1037
particular limitation, but why does one have to?
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1038
More such `puzzles' can be found at
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1039
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1040
\begin{center}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1041
  \url{http://scalapuzzlers.com} and
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1042
  \url{http://latkin.org/blog/2017/05/02/when-the-scala-compiler-doesnt-help/}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1043
\end{center}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1044
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1045
Even if Scala has been a success in several high-profile
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1046
companies, there is also a company (Yammer) that first used
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1047
Scala in their production code, but then moved away from it.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1048
Allegedly they did not like the steep learning curve of Scala
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1049
and also that new versions of Scala often introduced
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1050
incompatibilities in old code. In the past two months
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1051
there have also been two forks of the Scala compiler.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1052
It needs to be seen what the future brings for Scala.
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1053
152
16dbc95d7d77 updated
Christian Urban <urbanc@in.tum.de>
parents: 143
diff changeset
  1054
%So all in all, Scala might not be a great teaching language,
16dbc95d7d77 updated
Christian Urban <urbanc@in.tum.de>
parents: 143
diff changeset
  1055
%but I hope this is mitigated by the fact that I never require
16dbc95d7d77 updated
Christian Urban <urbanc@in.tum.de>
parents: 143
diff changeset
  1056
%you to write any Scala code. You only need to be able to read
16dbc95d7d77 updated
Christian Urban <urbanc@in.tum.de>
parents: 143
diff changeset
  1057
%it. In the coursework you can use any programming language you
16dbc95d7d77 updated
Christian Urban <urbanc@in.tum.de>
parents: 143
diff changeset
  1058
%like. If you want to use Scala for this, then be my guest; if
16dbc95d7d77 updated
Christian Urban <urbanc@in.tum.de>
parents: 143
diff changeset
  1059
%you do not want, stick with the language you are most familiar
16dbc95d7d77 updated
Christian Urban <urbanc@in.tum.de>
parents: 143
diff changeset
  1060
%with.
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1061
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1062
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1063
182
6a4d55584f1f updated
Christian Urban <urbanc@in.tum.de>
parents: 181
diff changeset
  1064
\begin{flushright}\it
6a4d55584f1f updated
Christian Urban <urbanc@in.tum.de>
parents: 181
diff changeset
  1065
There are only two kinds of languages: the ones people complain 
6a4d55584f1f updated
Christian Urban <urbanc@in.tum.de>
parents: 181
diff changeset
  1066
about\\ and the ones nobody uses.\smallskip\\
6a4d55584f1f updated
Christian Urban <urbanc@in.tum.de>
parents: 181
diff changeset
  1067
\mbox{}\hfill\small{}---Bjarne Stroustrup (the inventor of C++)
6a4d55584f1f updated
Christian Urban <urbanc@in.tum.de>
parents: 181
diff changeset
  1068
\end{flushright}
6a4d55584f1f updated
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parents: 181
diff changeset
  1069
123
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1070
\end{document}
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1071
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1072
%%% Local Variables: 
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1073
%%% mode: latex
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1074
%%% TeX-master: t
006f71e905a1 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1075
%%% End: