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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\usepackage{boxedminipage}
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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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% the art of programming
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% https://www.youtube.com/watch?v=QdVFvsCWXrA
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% functional programming in Scala
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%https://www.amazon.com/gp/product/1449311032/ref=as_li_ss_tl?ie=UTF8&tag=aleottshompag-20&linkCode=as2&camp=1789&creative=390957&creativeASIN=1449311032
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% functional programmming in C
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%https://www.amazon.com/gp/product/0201419505/ref=as_li_ss_tl?ie=UTF8&camp=1789&creative=390957&creativeASIN=0201419505&linkCode=as2&tag=aleottshompag-20
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%speeding through haskell
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%https://openlibra.com/en/book/download/speeding-through-haskell
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% fp books --- ocaml
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% http://courses.cms.caltech.edu/cs134/cs134b/book.pdf
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% http://alexott.net/en/fp/books/
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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}} 
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A number of companies---the Guardian, Twitter, Coursera, FourSquare,
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Netflix, LinkedIn, ITV to name a few---either use Scala exclusively in
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production code, or at least to some substantial degree. Scala seems
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also useful in job-interviews (especially in data science) according to
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this anecdotal 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 writing Scala programs 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.\footnote{Unlike \emph{Microsoft Visual Studio}---note
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the minuscule difference in the name---which is a heavy-duty,
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Windows-only IDE\ldots{}jeez, with all their money could they not come
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up with a completely different name for a complete different project?
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For the pedantic, Microsoft Visual Studio is an IDE, whereas Visual
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Studio Code is a source code editor. Anybody knows the what the
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difference is?} 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). Being a project started in 2015, VS Code is
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relatively new and thus 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 a little easier (see
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Figure~\ref{vscode} for my setup).
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\begin{figure}[t]
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\begin{boxedminipage}{\textwidth}  
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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 
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the keys \keys{Ctrl} \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{boxedminipage}
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\end{figure}  
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What I like most about VS Code is that it provides easy access to the
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Scala REPL. But if you prefer another editor for coding, it is also
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painless to work with Scala completely on the command line (as you might
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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}\medskip
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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. \underline{\textbf{BUT}}, 
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I do \textbf{not} 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? Your mileage may vary though. ;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 upon
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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 do require Scala in PEP, but actually we do not religiously
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care whether you learn Scala---after all it is just a programming
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language (albeit a nifty one IMHO). What we do care about is that you
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learn about \textit{functional programming}. Scala is just the vehicle
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for that. Still, you need to learn Scala well enough to get good marks
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in PEP, but functional programming could equally be taught with Haskell,
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F\#, SML, Ocaml, Kotlin, Clojure, Scheme, Elm and many other functional
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programming languages. %Your friendly lecturer just happens to like Scala
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%and the Department agreed that it is a good idea to inflict Scala upon
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%you.
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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 \emph{state} in your program and you continuously change this
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state by issuing some commands---for example for updating a field in an
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array or object, or for adding one to a variable and so on. The classic
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example for this style of programming are \texttt{for}-loops, like
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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 integer variable \texttt{i} embodies the state, which
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is first set to \texttt{10} and then increased by one in each
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loop-iteration until it reaches \texttt{20} at which point the loop
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exits. When this code is compiled and actually runs, there will be some
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dedicated space reserved for \texttt{i} in memory. This space of
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typically 32 bits contains \texttt{i}'s current value\ldots\texttt{10}
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at the beginning, and then the content will be overwritten with some
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new content in every iteration. The main point here is that this kind of
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updating, or manipulating, memory is 25.806\ldots or \textbf{THE ROOT OF
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ALL EVIL}!!
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\begin{center}
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\includegraphics[scale=0.25]{../pics/root-of-all-evil.png}
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\end{center}  
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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, also called clock-speed, allows. The problem
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is that this clock-speed has not much increased over the past decade and
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no dramatic increases are predicted for any time soon. So you are a bit
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stuck, unlike previous generations of developers who could rely upon the
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fact that every 2 years or so their code would run twice as fast (in
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ideal circumstances) because the clock-speed of their CPUs got twice as
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fast. This unfortunately does not happen any more nowadays. To get you
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out of this dreadful situation, CPU producers pile more and more
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cores into CPUs in order to make them more powerful and potentially make
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software faster. The task for you as developer is to take somehow
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advantage of these cores by running as much of your code as possible in
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parallel on as many cores you have available (typically 4 in modern
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laptops and sometimes much more on high-end machines). In this
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situation, \textit{mutable} variables like \texttt{i} above are evil, or
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at least a 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 overwrite
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the variable \texttt{i}.\footnote{If you are of the mistaken 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}. Take my word: an untold amount of misery has arisen
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from this problem. The catch is that if you try to solve this problem in
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C++ or 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. The result is that
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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 central idea of functional programming is to eliminate any state
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from programs---or at least from the ``interesting bits''. Because then
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it is easy to parallelise the resulting programs: if you do not have any
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state, then once created, all memory content stays unchanged and reads
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to such memory are absolutely safe without the need of any
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synchronisation. An example is given in Figure~\ref{mand} where in the
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absence of the annoying state, Scala makes it very 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 Mandelbrot program to the parallel version can be achieved by
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adding just eight characters---in two places you have to add
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\texttt{.par}. Try the same in C++ or Java!
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\begin{figure}[p]
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\begin{boxedminipage}{\textwidth}
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A Scala program for generating pretty pictures of the Mandelbrot set.\smallskip\\ 
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(See \url{https://en.wikipedia.org/wiki/Mandelbrot_set} or\\
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\phantom{(See }\url{https://www.youtube.com/watch?v=aSg2Db3jF_4}):
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\begin{center}    
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\begin{tabular}{c}  
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\includegraphics[scale=0.11]{../pics/mand1.png}\\[-8mm]\mbox{}
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\end{tabular}
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\end{center}
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\begin{center}
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\begin{tabular}{@{}p{0.45\textwidth}|p{0.45\textwidth}@{}}
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  \bf sequential version: & \bf parallel version on 4 cores:\smallskip\\
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  {\hfill\includegraphics[scale=0.11]{../pics/mand4.png}\hfill} &
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  {\hfill\includegraphics[scale=0.11]{../pics/mand3.png}\hfill} \\
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{\footnotesize\begin{lstlisting}[xleftmargin=-1mm]
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for (y <- (0 until H)) {
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  for (x <- (0 until W)) {
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    val c = start + 
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      (x * d_x + y * d_y * i)
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    val iters = iterations(c, max) 
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    val colour = 
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      if (iters == max) black 
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      else colours(iters % 16)
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    pixel(x, y, colour)
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  }
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  viewer.updateUI()
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}   
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\end{lstlisting}}   
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& 
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{\footnotesize\begin{lstlisting}[xleftmargin=0mm]
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for (y <- (0 until H)/*@\keys{\texttt{.par}}@*/) {
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  for (x <- (0 until W)/*@\keys{\texttt{.par}}@*/) {
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    val c = start + 
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      (x * d_x + y * d_y * i)
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    val iters = iterations(c, max) 
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    val colour = 
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      if (iters == max) black 
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      else colours(iters % 16)
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    pixel(x, y, colour)
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  }
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  viewer.updateUI()
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}   
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\end{lstlisting}}\\[-2mm]
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\centering\includegraphics[scale=0.5]{../pics/cpu2.png} &
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\centering\includegraphics[scale=0.5]{../pics/cpu1.png}
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\end{tabular}
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\end{center}
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\caption{The ``main'' loops in the Mandelbrot program.
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The parallel version differs only in \texttt{.par} being added to the
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``ranges'' of the x-y-coordinates. As can be seen from the CPU loads, in
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the sequential versions there is a lower peak for an extended period,
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while in the parallel version there is a short sharp burst for
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essentially the same workload\ldots{}meaning you get more work done 
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in a shorter amount of time. This \emph{parallelisation} 
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only works reliably in an immutable program.
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\label{mand}} 
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\end{boxedminipage}
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\end{figure}  
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But remember this easy parallelisation of code requires that we
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have no state in our programs\ldots{}that is no counters like
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\texttt{i} in \texttt{for}-loops. You might then ask, how do I write
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loops without such counters? Well, teaching you that this is possible is
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one of the main points of the Scala-part in PEP. I can assure you it is
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possible, but you have to get your head around it. Once you have
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mastered this, it will be fun to have no state in your programs (a side
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product is that it much easier to debug state-less code and also more
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often than not easier to understand). So have fun with
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Scala!\footnote{If you are still not convinced about the function
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programming ``thing'', there are a few more arguments: a lot of research
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in programming languages happens to take place in functional programming
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languages. This has resulted in ultra-useful features such as
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pattern-matching, strong type-systems, laziness, implicits, algebraic
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datatypes  to name a few. Imperative languages seem to often lag behind
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in adopting them: I know, for example, that Java will at some point in
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the future support pattern-matching, which has been used for example 
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in SML for at
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least 40(!) years. See
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\url{http://cr.openjdk.java.net/~briangoetz/amber/pattern-match.html}.
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Also Rust, a C-like programming language that has been developed since
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2010 and is gaining quite some interest, borrows many ideas from
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functional programming from yesteryear.}
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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. It is 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 The answer means that he 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, for example
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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 by Scala. 
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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 start 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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parents:
diff changeset
   486
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   487
scala> val x = 42
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   488
scala> val z = x / 7
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   489
scala> val x = 70
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   490
scala> println(z) 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   491
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   492
124
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parents: 123
diff changeset
   493
\noindent but try to guess what Scala will print out 
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   494
for \code{z}?  Will it be \code{6} or \code{10}? A final word about
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   495
values: Try to stick to the convention that names of values should be
188
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parents: 187
diff changeset
   496
lower case, like \code{x}, \code{y}, \code{foo41} and so on. Upper-case
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parents: 187
diff changeset
   497
names you should reserve for what is called \emph{constructors}.
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   498
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   499
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   500
\subsection*{Function Definitions}
556cd74cbba9 updated
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parents:
diff changeset
   501
181
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We do functional programming! So defining functions will be our main occupation.
182
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   503
As an example, a function named \code{f} taking a single argument of type 
181
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diff changeset
   504
\code{Int} can be defined in Scala as follows:
123
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   505
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   506
\begin{lstlisting}[numbers=none]
181
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parents: 180
diff changeset
   507
def f(x: Int) : String = ...EXPR...
123
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   508
\end{lstlisting} 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   509
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   510
\noindent
124
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parents: 123
diff changeset
   511
This function returns the value resulting from evaluating the expression
123
556cd74cbba9 updated
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parents:
diff changeset
   512
\code{EXPR} (whatever is substituted for this). The result will be
181
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parents: 180
diff changeset
   513
of type \code{String}. It is a good habit to include this information
124
c45d3cd9a749 updated
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parents: 123
diff changeset
   514
about the return type always. Simple examples of Scala functions are:
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   515
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   516
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   517
def incr(x: Int) : Int = x + 1
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   518
def double(x: Int) : Int = x + x
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   519
def square(x: Int) : Int = x * x
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   520
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   521
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   522
\noindent
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   523
The general scheme for a function is
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   524
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   525
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   526
def fname(arg1: ty1, arg2: ty2,..., argn: tyn): rty = {
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   527
  BODY
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   528
}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   529
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   530
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   531
\noindent
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   532
where each argument requires its type and the result type of the
124
c45d3cd9a749 updated
Christian Urban <urbanc@in.tum.de>
parents: 123
diff changeset
   533
function, \code{rty}, should be given. If the body of the function is
c45d3cd9a749 updated
Christian Urban <urbanc@in.tum.de>
parents: 123
diff changeset
   534
more complex, then it can be enclosed in braces, like above. If it it
c45d3cd9a749 updated
Christian Urban <urbanc@in.tum.de>
parents: 123
diff changeset
   535
is just a simple expression, like \code{x + 1}, you can omit the
c45d3cd9a749 updated
Christian Urban <urbanc@in.tum.de>
parents: 123
diff changeset
   536
braces. Very often functions are recursive (call themselves) like
188
937c995b047a updated
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parents: 187
diff changeset
   537
the venerable factorial function:
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   538
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   539
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   540
def fact(n: Int): Int = 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   541
  if (n == 0) 1 else n * fact(n - 1)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   542
\end{lstlisting}
188
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parents: 187
diff changeset
   543
937c995b047a updated
Christian Urban <urbanc@in.tum.de>
parents: 187
diff changeset
   544
\noindent
937c995b047a updated
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parents: 187
diff changeset
   545
Note that Scala does not have a \code{then}-keyword in an \code{if}-statement.
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   546
  
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   547
\subsection*{Loops, or better the Absence thereof}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   548
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   549
Coming from Java or C++, you might be surprised that Scala does
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   550
not really have loops. It has instead, what is in functional
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   551
programming called, \emph{maps}. To illustrate how they work,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   552
let us assume you have a list of numbers from 1 to 8 and want to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   553
build the list of squares. The list of numbers from 1 to 8 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   554
can be constructed in Scala as follows:
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   555
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   556
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   557
scala> (1 to 8).toList
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   558
res1: List[Int] = List(1, 2, 3, 4, 5, 6, 7, 8)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   559
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   560
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   561
\noindent Generating from this list, the list of squares in a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   562
programming language such as Java, you would assume the list
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   563
is given as a kind of array. You would then iterate, or loop,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   564
an index over this array and replace each entry in the array
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   565
by the square. Right? In Scala, and in other functional
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   566
programming languages, you use maps to achieve the same. 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   567
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   568
A map essentially takes a function that describes how each
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   569
element is transformed (for example squared) and a list over
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   570
which this function should work. There are two forms to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   571
express such maps in Scala. The first way is called a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   572
\emph{for-comprehension}. Squaring the numbers from 1 to 8
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   573
would look as follows:
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   574
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   575
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   576
scala> for (n <- (1 to 8).toList) yield n * n
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   577
res2: List[Int] = List(1, 4, 9, 16, 25, 36, 49, 64)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   578
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   579
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   580
\noindent The important keywords are \code{for} and
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   581
\code{yield}. This for-comprehension roughly states that from
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   582
the list of numbers we draw \code{n}s and compute the result
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   583
of \code{n * n}. As you can see, we specified the list where
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   584
each \code{n} comes from, namely \code{(1 to 8).toList}, and
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   585
how each element needs to be transformed. This can also be
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   586
expressed in a second way in Scala by using directly
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   587
\code{map}s as follows:
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   588
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   589
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   590
scala> (1 to 8).toList.map(n => n * n)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   591
res3 = List(1, 4, 9, 16, 25, 36, 49, 64)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   592
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   593
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   594
\noindent In this way, the expression \code{n => n * n} stands
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   595
for the function that calculates the square (this is how the
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   596
\code{n}s are transformed). This expression for functions
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   597
might remind you of your lessons about the lambda-calculus
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   598
where this would have been written as $\lambda n.\,n * n$. It
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   599
might not be obvious, but for-comprehensions are just
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   600
syntactic sugar: when compiling, Scala translates
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   601
for-comprehensions into equivalent maps. This even works
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   602
when for-comprehensions get more complicated (see below).
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   603
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   604
The very charming feature of Scala is that such maps or
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   605
for-comprehensions can be written for any kind of data
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   606
collection, such as lists, sets, vectors, options and so on.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   607
For example if we instead compute the reminders modulo 3 of
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   608
this list, we can write
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   609
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   610
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   611
scala> (1 to 8).toList.map(n => n % 3)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   612
res4 = List(1, 2, 0, 1, 2, 0, 1, 2)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   613
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   614
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   615
\noindent If we, however, transform the numbers 1 to 8 not
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   616
into a list, but into a set, and then compute the reminders
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   617
modulo 3 we obtain
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   618
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   619
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   620
scala> (1 to 8).toSet[Int].map(n => n % 3)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   621
res5 = Set(2, 1, 0)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   622
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   623
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   624
\noindent This is the correct result for sets, as there are
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   625
only three equivalence classes of integers modulo 3. Note that
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   626
in this example we need to ``help'' Scala to transform the
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   627
numbers into a set of integers by explicitly annotating the
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   628
type \code{Int}. Since maps and for-comprehensions are
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   629
just syntactic variants of each other, the latter can also be
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   630
written as
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   631
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   632
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   633
scala> for (n <- (1 to 8).toSet[Int]) yield n % 3
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   634
res5 = Set(2, 1, 0)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   635
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   636
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   637
For-comprehensions can also be nested and the selection of 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   638
elements can be guarded. For example if we want to pair up
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   639
the numbers 1 to 4 with the letters a to c, we can write
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   640
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   641
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   642
scala> for (n <- (1 to 4).toList; 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   643
            m <- ('a' to 'c').toList) yield (n, m)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   644
res6 = List((1,a), (1,b), (1,c), (2,a), (2,b), (2,c), 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   645
            (3,a), (3,b), (3,c), (4,a), (4,b), (4,c))
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   646
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   647
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   648
\noindent 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   649
Or if we want to find all pairs of numbers between 1 and 3
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   650
where the sum is an even number, we can write
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   651
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   652
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   653
scala> for (n <- (1 to 3).toList; 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   654
            m <- (1 to 3).toList;
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   655
            if (n + m) % 2 == 0) yield (n, m)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   656
res7 = List((1,1), (1,3), (2,2), (3,1), (3,3))
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   657
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   658
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   659
\noindent The \code{if}-condition in the for-comprehension
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   660
filters out all pairs where the sum is not even.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   661
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   662
While hopefully this all looks reasonable, there is one
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   663
complication: In the examples above we always wanted to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   664
transform one list into another list (e.g.~list of squares),
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   665
or one set into another set (set of numbers into set of
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   666
reminders modulo 3). What happens if we just want to print out
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   667
a list of integers? Then actually the for-comprehension
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   668
needs to be modified. The reason is that \code{print}, you
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   669
guessed it, does not produce any result, but only produces
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   670
what is in the functional-programming-lingo called a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   671
side-effect. Printing out the list of numbers from 1 to 5
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   672
would look as follows
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   673
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   674
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   675
scala> for (n <- (1 to 5).toList) print(n)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   676
12345
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   677
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   678
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   679
\noindent
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   680
where you need to omit the keyword \code{yield}. You can
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   681
also do more elaborate calculations such as
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   682
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   683
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   684
scala> for (n <- (1 to 5).toList) {
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   685
  val square_n = n * n
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   686
  println(s"$n * $n = $square_n") 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   687
}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   688
1 * 1 = 1
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   689
2 * 2 = 4
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   690
3 * 3 = 9
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   691
4 * 4 = 16
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   692
5 * 5 = 25
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   693
\end{lstlisting}%$
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   694
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   695
\noindent In this code I use a variable assignment (\code{val
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   696
square_n = ...} ) and also what is called in Scala a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   697
\emph{string interpolation}, written \code{s"..."}. The latter
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   698
is for printing out an equation. It allows me to refer to the
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   699
integer values \code{n} and \code{square\_n} inside a string.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   700
This is very convenient for printing out ``things''. 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   701
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   702
The corresponding map construction for functions with 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   703
side-effects is in Scala called \code{foreach}. So you 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   704
could also write
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   705
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   706
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   707
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   708
scala> (1 to 5).toList.foreach(n => print(n))
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   709
12345
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   710
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   711
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   712
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   713
\noindent or even just
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   714
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   715
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   716
scala> (1 to 5).toList.foreach(print)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   717
12345
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   718
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   719
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   720
\noindent Again I hope this reminds you a bit of your
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   721
lambda-calculus lessons, where an explanation is given why
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   722
both forms produce the same result.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   723
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   724
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   725
If you want to find out more about maps and functions with
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   726
side-effects, you can ponder about the response Scala gives if
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   727
you replace \code{foreach} by \code{map} in the expression
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   728
above. Scala will still allow \code{map} with side-effect
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   729
functions, but then reacts with a slightly interesting result.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   730
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   731
\subsection*{Types}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   732
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   733
In most functional programming languages, types play an
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   734
important role. Scala is such a language. You have already
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   735
seen built-in types, like \code{Int}, \code{Boolean},
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   736
\code{String} and \code{BigInt}, but also user-defined ones,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   737
like \code{Rexp}. Unfortunately, types can be a thorny
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   738
subject, especially in Scala. For example, why do we need to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   739
give the type to \code{toSet[Int]}, but not to \code{toList}?
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   740
The reason is the power of Scala, which sometimes means it
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   741
cannot infer all necessary typing information. At the
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   742
beginning while getting familiar with Scala, I recommend a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   743
``play-it-by-ear-approach'' to types. Fully understanding
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   744
type-systems, especially complicated ones like in Scala, can
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   745
take a module on their own.\footnote{Still, such a study can
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   746
be a rewarding training: If you are in the business of
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   747
designing new programming languages, you will not be able to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   748
turn a blind eye to types. They essentially help programmers
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   749
to avoid common programming errors and help with maintaining
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   750
code.}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   751
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   752
In Scala, types are needed whenever you define an inductive
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   753
datatype and also whenever you define functions (their
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   754
arguments and their results need a type). Base types are types
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   755
that do not take any (type)arguments, for example \code{Int}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   756
and \code{String}. Compound types take one or more arguments,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   757
which as seen earlier need to be given in angle-brackets, for
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   758
example \code{List[Int]} or \code{Set[List[String]]} or 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   759
\code{Map[Int, Int]}.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   760
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   761
There are a few special type-constructors that fall outside
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   762
this pattern. One is for tuples, where the type is written
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   763
with parentheses. For example 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   764
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   765
\begin{lstlisting}[ numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   766
(Int, Int, String)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   767
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   768
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   769
\noindent is for a triple (a tuple with three components---two
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   770
integers and a string). Tuples are helpful if you want to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   771
define functions with multiple results, say the function
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   772
returning the quotient and reminder of two numbers. For this
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   773
you might define:
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   774
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   775
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   776
\begin{lstlisting}[ numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   777
def quo_rem(m: Int, n: Int) : (Int, Int) = (m / n, m % n)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   778
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   779
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   780
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   781
\noindent Since this function returns a pair of integers, its
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   782
return type needs to be of type \code{(Int, Int)}.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   783
Incidentally, this is also the input type of this function.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   784
Notice this function takes \emph{two} arguments, namely
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   785
\code{m} and \code{n}, both of which are integers. They are
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   786
``packaged'' in a pair. Consequently the complete type of
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   787
\code{quo_rem} is
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   788
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   789
\begin{lstlisting}[ numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   790
(Int, Int) => (Int, Int)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   791
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   792
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   793
Another special type-constructor is for functions, written as
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   794
the arrow \code{=>}. For example, the type \code{Int =>
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   795
String} is for a function that takes an integer as input
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   796
argument and produces a string as result. A function of this
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   797
type is for instance
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   798
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   799
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   800
def mk_string(n: Int) : String = n match {
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   801
  case 0 => "zero"
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   802
  case 1 => "one"
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   803
  case 2 => "two"
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   804
  case _ => "many" 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   805
} 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   806
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   807
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   808
\noindent It takes an integer as input argument and returns a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   809
string. Unlike other functional programming languages, there
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   810
is in Scala no easy way to find out the types of existing
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   811
functions, except by looking into the documentation
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   812
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   813
\begin{quote}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   814
\url{http://www.scala-lang.org/api/current/}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   815
\end{quote}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   816
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   817
The function arrow can also be iterated, as in 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   818
\code{Int => String => Boolean}. This is the type for a function
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   819
taking an integer as first argument and a string as second,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   820
and the result of the function is a boolean. Though silly, a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   821
function of this type would be
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   822
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   823
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   824
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   825
def chk_string(n: Int)(s: String) : Boolean = 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   826
  mk_string(n) == s
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   827
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   828
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   829
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   830
\noindent which checks whether the integer \code{n}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   831
corresponds to the name \code{s} given by the function
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   832
\code{mk\_string}. Notice the unusual way of specifying the
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   833
arguments of this function: the arguments are given one after
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   834
the other, instead of being in a pair (what would be the type
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   835
of this function then?). This way of specifying the arguments
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   836
can be useful, for example in situations like this
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   837
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   838
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   839
scala> List("one", "two", "three", "many").map(chk_string(2))
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   840
res4 = List(false, true, false, false)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   841
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   842
scala> List("one", "two", "three", "many").map(chk_string(3))
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   843
res5 = List(false, false, false, true)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   844
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   845
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   846
\noindent In each case we can give to \code{map} a specialised
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   847
version of \code{chk_string}---once specialised to 2 and once
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   848
to 3. This kind of ``specialising'' a function is called
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   849
\emph{partial application}---we have not yet given to this
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   850
function all arguments it needs, but only some of them.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   851
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   852
Coming back to the type \code{Int => String => Boolean}. The
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   853
rule about such function types is that the right-most type
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   854
specifies what the function returns (a boolean in this case).
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   855
The types before that specify how many arguments the function
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   856
expects and what their type is (in this case two arguments,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   857
one of type \code{Int} and another of type \code{String}).
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   858
Given this rule, what kind of function has type
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   859
\mbox{\code{(Int => String) => Boolean}}? Well, it returns a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   860
boolean. More interestingly, though, it only takes a single
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   861
argument (because of the parentheses). The single argument
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   862
happens to be another function (taking an integer as input and
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   863
returning a string). Remember that \code{mk_string} is just 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   864
such a function. So how can we use it? For this define
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   865
the somewhat silly function \code{apply_3}:
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   866
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   867
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   868
def apply_3(f: Int => String): Bool = f(3) == "many"
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   869
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   870
scala> apply_3(mk_string)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   871
res6 = true
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   872
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   873
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   874
You might ask: Apart from silly functions like above, what is
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   875
the point of having functions as input arguments to other
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   876
functions? In Java there is indeed no need of this kind of
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   877
feature: at least in the past it did not allow such
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   878
constructions. I think, the point of Java 8 is to lift this
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   879
restriction. But in all functional programming languages,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   880
including Scala, it is really essential to allow functions as
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   881
input argument. Above you already seen \code{map} and
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   882
\code{foreach} which need this. Consider the functions
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   883
\code{print} and \code{println}, which both print out strings,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   884
but the latter adds a line break. You can call \code{foreach}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   885
with either of them and thus changing how, for example, five
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   886
numbers are printed.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   887
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   888
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   889
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   890
scala> (1 to 5).toList.foreach(print)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   891
12345
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   892
scala> (1 to 5).toList.foreach(println)
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   893
1
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   894
2
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   895
3
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   896
4
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   897
5
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   898
\end{lstlisting}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   899
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   900
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   901
\noindent This is actually one of the main design principles
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   902
in functional programming. You have generic functions like
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   903
\code{map} and \code{foreach} that can traverse data containers,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   904
like lists or sets. They then take a function to specify what
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   905
should be done with each element during the traversal. This
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   906
requires that the generic traversal functions can cope with
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   907
any kind of function (not just functions that, for example,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   908
take as input an integer and produce a string like above).
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   909
This means we cannot fix the type of the generic traversal
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   910
functions, but have to keep them
181
31ba76ce016d updated
Christian Urban <urbanc@in.tum.de>
parents: 180
diff changeset
   911
\emph{polymorphic}.\footnote{Another interesting topic about
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   912
types, but we omit it here for the sake of brevity.} 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   913
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   914
There is one more type constructor that is rather special. It
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   915
is called \code{Unit}. Recall that \code{Boolean} has two
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   916
values, namely \code{true} and \code{false}. This can be used,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   917
for example, to test something and decide whether the test
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   918
succeeds or not. In contrast the type \code{Unit} has only a
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   919
single value, written \code{()}. This seems like a completely
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   920
useless type and return value for a function, but is actually
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   921
quite useful. It indicates when the function does not return
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   922
any result. The purpose of these functions is to cause
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   923
something being written on the screen or written into a file,
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   924
for example. This is what is called they cause some effect on 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   925
the side, namely a new content displayed on the screen or some
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   926
new data in a file. Scala uses the \code{Unit} type to indicate
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   927
that a function does not have a result, but potentially causes
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   928
some side-effect. Typical examples are the printing functions, 
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   929
like \code{print}.
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   930
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   931
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   932
% \subsection*{Cool Stuff}
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   933
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   934
% The first wow-moment I had with Scala was when I came across
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   935
% the following code-snippet for reading a web-page. 
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   936
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   937
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   938
% \begin{lstlisting}[ numbers=none]
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   939
% import io.Source
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   940
% val url = """http://www.inf.kcl.ac.uk/staff/urbanc/"""
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   941
% Source.fromURL(url)("ISO-8859-1").take(10000).mkString
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   942
% \end{lstlisting}
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   943
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   944
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   945
% \noindent These three lines return a string containing the
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   946
% HTML-code of my webpage. It actually already does something
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   947
% more sophisticated, namely only returns the first 10000
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   948
% characters of a webpage in case it is too large. Why is that
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   949
% code-snippet of any interest? Well, try implementing
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   950
% reading-from-a-webpage in Java. I also like the possibility of
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   951
% triple-quoting strings, which I have only seen in Scala so
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   952
% far. The idea behind this is that in such a string all
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   953
% characters are interpreted literally---there are no escaped
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   954
% characters, like \verb|\n| for newlines.
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   955
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   956
% My second wow-moment I had with a feature of Scala that other
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   957
% functional programming languages do not have. This feature is
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   958
% about implicit type conversions. If you have regular
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   959
% expressions and want to use them for language processing you
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   960
% often want to recognise keywords in a language, for example
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   961
% \code{for},{} \code{if},{} \code{yield} and so on. But the
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   962
% basic regular expression \code{CHAR} can only recognise a
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   963
% single character. In order to recognise a whole string, like
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   964
% \code{for}, you have to put many of those together using
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   965
% \code{SEQ}:
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   966
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   967
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   968
% \begin{lstlisting}[numbers=none]
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   969
% SEQ(CHAR('f'), SEQ(CHAR('o'), CHAR('r')))
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   970
% \end{lstlisting}
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   971
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   972
% \noindent This gets quickly unreadable when the strings and
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   973
% regular expressions get more complicated. In other functional
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   974
% programming languages, you can explicitly write a conversion
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   975
% function that takes a string, say \dq{\pcode{for}}, and
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   976
% generates the regular expression above. But then your code is
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   977
% littered with such conversion functions.
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   978
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   979
% In Scala you can do better by ``hiding'' the conversion
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   980
% functions. The keyword for doing this is \code{implicit} and
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   981
% it needs a built-in library called 
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   982
143
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   983
% \begin{lstlisting}[numbers=none]
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   984
% scala.language.implicitConversions
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
   985
% \end{lstlisting}
123
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diff changeset
   986
143
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diff changeset
   987
% \noindent
11396c17cd8b updated
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diff changeset
   988
% Consider the code
123
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parents:
diff changeset
   989
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   990
143
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diff changeset
   991
% \begin{lstlisting}[language=Scala]
11396c17cd8b updated
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diff changeset
   992
% import scala.language.implicitConversions
123
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parents:
diff changeset
   993
143
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diff changeset
   994
% def charlist2rexp(s: List[Char]) : Rexp = s match {
11396c17cd8b updated
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diff changeset
   995
%   case Nil => EMPTY
11396c17cd8b updated
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diff changeset
   996
%   case c::Nil => CHAR(c)
11396c17cd8b updated
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parents: 125
diff changeset
   997
%   case c::s => SEQ(CHAR(c), charlist2rexp(s))
11396c17cd8b updated
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parents: 125
diff changeset
   998
% }
123
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parents:
diff changeset
   999
143
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diff changeset
  1000
% implicit def string2rexp(s: String) : Rexp = 
11396c17cd8b updated
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parents: 125
diff changeset
  1001
%   charlist2rexp(s.toList)
11396c17cd8b updated
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parents: 125
diff changeset
  1002
% \end{lstlisting}
123
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parents:
diff changeset
  1003
556cd74cbba9 updated
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parents:
diff changeset
  1004
143
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parents: 125
diff changeset
  1005
% \noindent where the first seven lines implement a function
11396c17cd8b updated
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parents: 125
diff changeset
  1006
% that given a list of characters generates the corresponding
11396c17cd8b updated
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parents: 125
diff changeset
  1007
% regular expression. In Lines 9 and 10, this function is used
11396c17cd8b updated
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parents: 125
diff changeset
  1008
% for transforming a string into a regular expression. Since the
11396c17cd8b updated
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parents: 125
diff changeset
  1009
% \code{string2rexp}-function is declared as \code{implicit},
11396c17cd8b updated
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parents: 125
diff changeset
  1010
% the effect will be that whenever Scala expects a regular
11396c17cd8b updated
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parents: 125
diff changeset
  1011
% expression, but I only give it a string, it will automatically
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1012
% insert a call to the \code{string2rexp}-function. I can now
11396c17cd8b updated
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parents: 125
diff changeset
  1013
% write for example
123
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parents:
diff changeset
  1014
143
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diff changeset
  1015
% \begin{lstlisting}[numbers=none]
11396c17cd8b updated
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parents: 125
diff changeset
  1016
% scala> ALT("ab", "ac")
11396c17cd8b updated
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parents: 125
diff changeset
  1017
% res9 = ALT(SEQ(CHAR(a),CHAR(b)),SEQ(CHAR(a),CHAR(c)))
11396c17cd8b updated
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parents: 125
diff changeset
  1018
% \end{lstlisting}
123
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parents:
diff changeset
  1019
143
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parents: 125
diff changeset
  1020
% \noindent Recall that \code{ALT} expects two regular
11396c17cd8b updated
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parents: 125
diff changeset
  1021
% expressions as arguments, but I only supply two strings. The
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1022
% implicit conversion function will transform the string into a
11396c17cd8b updated
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parents: 125
diff changeset
  1023
% regular expression.
123
556cd74cbba9 updated
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parents:
diff changeset
  1024
143
11396c17cd8b updated
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parents: 125
diff changeset
  1025
% Using implicit definitions, Scala allows me to introduce
11396c17cd8b updated
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parents: 125
diff changeset
  1026
% some further syntactic sugar for regular expressions:
123
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1027
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1028
143
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parents: 125
diff changeset
  1029
% \begin{lstlisting}[ numbers=none]
11396c17cd8b updated
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parents: 125
diff changeset
  1030
% implicit def RexpOps(r: Rexp) = new {
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1031
%   def | (s: Rexp) = ALT(r, s)
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1032
%   def ~ (s: Rexp) = SEQ(r, s)
11396c17cd8b updated
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parents: 125
diff changeset
  1033
%   def % = STAR(r)
11396c17cd8b updated
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parents: 125
diff changeset
  1034
% }
123
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parents:
diff changeset
  1035
143
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parents: 125
diff changeset
  1036
% implicit def stringOps(s: String) = new {
11396c17cd8b updated
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parents: 125
diff changeset
  1037
%   def | (r: Rexp) = ALT(s, r)
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1038
%   def | (r: String) = ALT(s, r)
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1039
%   def ~ (r: Rexp) = SEQ(s, r)
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1040
%   def ~ (r: String) = SEQ(s, r)
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1041
%   def % = STAR(s)
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1042
% }
11396c17cd8b updated
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parents: 125
diff changeset
  1043
% \end{lstlisting}
123
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parents:
diff changeset
  1044
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1045
 
143
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parents: 125
diff changeset
  1046
% \noindent This might seem a bit overly complicated, but its effect is
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1047
% that I can now write regular expressions such as $ab + ac$ 
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1048
% simply as
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1049
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1050
143
11396c17cd8b updated
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parents: 125
diff changeset
  1051
% \begin{lstlisting}[numbers=none]
11396c17cd8b updated
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parents: 125
diff changeset
  1052
% scala> "ab" | "ac"
11396c17cd8b updated
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parents: 125
diff changeset
  1053
% res10 = ALT(SEQ(CHAR(a),CHAR(b)),SEQ(CHAR(a),CHAR(c)))
11396c17cd8b updated
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parents: 125
diff changeset
  1054
% \end{lstlisting}
123
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parents:
diff changeset
  1055
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1056
 
143
11396c17cd8b updated
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parents: 125
diff changeset
  1057
% \noindent I leave you to figure out what the other
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1058
% syntactic sugar in the code above stands for.
123
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1059
 
143
11396c17cd8b updated
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parents: 125
diff changeset
  1060
% One more useful feature of Scala is the ability to define
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1061
% functions with varying argument lists. This is a feature that
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1062
% is already present in old languages, like C, but seems to have
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1063
% been forgotten in the meantime---Java does not have it. In the
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1064
% context of regular expressions this feature comes in handy:
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1065
% Say you are fed up with writing many alternatives as
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1066
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1067
143
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parents: 125
diff changeset
  1068
% \begin{lstlisting}[numbers=none]
11396c17cd8b updated
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parents: 125
diff changeset
  1069
% ALT(..., ALT(..., ALT(..., ...)))
11396c17cd8b updated
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parents: 125
diff changeset
  1070
% \end{lstlisting}
123
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parents:
diff changeset
  1071
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1072
143
11396c17cd8b updated
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parents: 125
diff changeset
  1073
% \noindent To make it difficult, you do not know how deep such
11396c17cd8b updated
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parents: 125
diff changeset
  1074
% alternatives are nested. So you need something flexible that
11396c17cd8b updated
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parents: 125
diff changeset
  1075
% can take as many alternatives as needed. In Scala one can
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1076
% achieve this by adding a \code{*} to the type of an argument.
11396c17cd8b updated
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parents: 125
diff changeset
  1077
% Consider the code
123
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parents:
diff changeset
  1078
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1079
143
11396c17cd8b updated
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parents: 125
diff changeset
  1080
% \begin{lstlisting}[language=Scala]
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1081
% def Alts(rs: List[Rexp]) : Rexp = rs match {
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1082
%   case Nil => NULL
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1083
%   case r::Nil => r
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1084
%   case r::rs => ALT(r, Alts(rs))
11396c17cd8b updated
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parents: 125
diff changeset
  1085
% }
123
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parents:
diff changeset
  1086
143
11396c17cd8b updated
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parents: 125
diff changeset
  1087
% def ALTS(rs: Rexp*) = Alts(rs.toList)
11396c17cd8b updated
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parents: 125
diff changeset
  1088
% \end{lstlisting}
123
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parents:
diff changeset
  1089
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1090
143
11396c17cd8b updated
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parents: 125
diff changeset
  1091
% \noindent The function in Lines 1 to 5 takes a list of regular
11396c17cd8b updated
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parents: 125
diff changeset
  1092
% expressions and converts it into an appropriate alternative
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1093
% regular expression. In Line 7 there is a wrapper for this
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1094
% function which uses the feature of varying argument lists. The
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1095
% effect of this code  is that I can write the regular
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1096
% expression for keywords as
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1097
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1098
143
11396c17cd8b updated
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parents: 125
diff changeset
  1099
% \begin{lstlisting}[numbers=none]
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1100
% ALTS("for", "def", "yield", "implicit", "if", "match", "case")
11396c17cd8b updated
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parents: 125
diff changeset
  1101
% \end{lstlisting}
123
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1102
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1103
143
11396c17cd8b updated
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parents: 125
diff changeset
  1104
% \noindent Again I leave it to you to find out how much this
11396c17cd8b updated
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parents: 125
diff changeset
  1105
% simplifies the regular expression in comparison with if I had
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1106
% to write this by hand using only the ``plain'' regular
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1107
% expressions from the inductive datatype.
11396c17cd8b updated
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parents: 125
diff changeset
  1108
11396c17cd8b updated
Christian Urban <urbanc@in.tum.de>
parents: 125
diff changeset
  1109
\bigskip\noindent
11396c17cd8b updated
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parents: 125
diff changeset
  1110
\textit{More TBD.}
123
556cd74cbba9 updated
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parents:
diff changeset
  1111
181
31ba76ce016d updated
Christian Urban <urbanc@in.tum.de>
parents: 180
diff changeset
  1112
\subsection*{Coursework}
31ba76ce016d updated
Christian Urban <urbanc@in.tum.de>
parents: 180
diff changeset
  1113
123
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1114
\subsection*{More Info}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1115
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1116
There is much more to Scala than I can possibly describe in
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1117
this document. Fortunately there are a number of free books
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1118
about Scala and of course lots of help online. For example
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1119
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1120
\begin{itemize}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1121
\item \url{http://www.scala-lang.org/docu/files/ScalaByExample.pdf}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1122
\item \url{http://www.scala-lang.org/docu/files/ScalaTutorial.pdf}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1123
\item \url{https://www.youtube.com/user/ShadowofCatron}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1124
\item \url{http://docs.scala-lang.org/tutorials}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1125
\item \url{https://www.scala-exercises.org}
188
937c995b047a updated
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parents: 187
diff changeset
  1126
\item \url{https://twitter.github.io/scala_school}
123
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parents:
diff changeset
  1127
\end{itemize}
188
937c995b047a updated
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parents: 187
diff changeset
  1128
 
123
556cd74cbba9 updated
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parents:
diff changeset
  1129
\noindent There is also a course at Coursera on Functional
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1130
Programming Principles in Scala by Martin Odersky, the main
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1131
developer of the Scala language. And a document that explains
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1132
Scala for Java programmers
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1133
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1134
\begin{itemize}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1135
\item \small\url{http://docs.scala-lang.org/tutorials/scala-for-java-programmers.html}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1136
\end{itemize}
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1137
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1138
While I am quite enthusiastic about Scala, I am also happy to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1139
admit that it has more than its fair share of faults. The
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1140
problem seen earlier of having to give an explicit type to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1141
\code{toSet}, but not \code{toList} is one of them. There are
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1142
also many ``deep'' ideas about types in Scala, which even to
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1143
me as seasoned functional programmer are puzzling. Whilst
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1144
implicits are great, they can also be a source of great
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1145
headaches, for example consider the code:
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1146
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1147
\begin{lstlisting}[numbers=none]
556cd74cbba9 updated
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1148
scala>  List (1, 2, 3) contains "your mom"
556cd74cbba9 updated
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  1149
res1: Boolean = false
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\end{lstlisting}
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  1151
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\noindent Rather than returning \code{false}, this code should
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  1153
throw a typing-error. There are also many limitations Scala
556cd74cbba9 updated
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  1154
inherited from the JVM that can be really annoying. For
556cd74cbba9 updated
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  1155
example a fixed stack size. One can work around this
556cd74cbba9 updated
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  1156
particular limitation, but why does one have to?
556cd74cbba9 updated
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  1157
More such `puzzles' can be found at
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  1158
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  1159
\begin{center}
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  1160
  \url{http://scalapuzzlers.com} and
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  1161
  \url{http://latkin.org/blog/2017/05/02/when-the-scala-compiler-doesnt-help/}
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\end{center}
191
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Even if Scala has been a success in several high-profile companies,
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there is also a company (Yammer) that first used Scala in their
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production code, but then moved away from it. Allegedly they did not
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like the steep learning curve of Scala and also that new versions of
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Scala often introduced incompatibilities in old code. Also the Java
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language is lately developing at lightening speed taking on many
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features of Scala and other languages, and it seems even it introduces
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new features on its own.
123
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152
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%So all in all, Scala might not be a great teaching language,
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%but I hope this is mitigated by the fact that I never require
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  1175
%you to write any Scala code. You only need to be able to read
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  1176
%it. In the coursework you can use any programming language you
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  1177
%like. If you want to use Scala for this, then be my guest; if
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  1178
%you do not want, stick with the language you are most familiar
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%with.
123
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191
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\subsection*{Conclusion}
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\begin{itemize}
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\item no exceptions....there two kinds, one ``global'' exceptions, like
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out of memory (not much can be done about this by the ``individual''
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programmer); and ``local one'' open a file that might not exists - in
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the latter you do not want to use exceptions, but Options
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\end{itemize}
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182
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\begin{flushright}\it
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There are only two kinds of languages: the ones people complain 
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about\\ and the ones nobody uses.\smallskip\\
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\mbox{}\hfill\small{}---Bjarne Stroustrup (the inventor of C++)
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\end{flushright}
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\end{document}
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  1198
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%%% Local Variables: 
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%%% mode: latex
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%%% TeX-master: t
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%%% End: