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+++ b/coursework/cw02.tex	Sun Nov 03 00:41:24 2013 +0000
@@ -0,0 +1,143 @@
+\documentclass{article}
+\usepackage{charter}
+\usepackage{hyperref}
+\usepackage{amssymb}
+\usepackage{amsmath}
+\usepackage{listings}
+\usepackage{xcolor}
+
+
+\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}%
+\begin{document}
+
+\definecolor{javared}{rgb}{0.6,0,0} % for strings
+\definecolor{javagreen}{rgb}{0.25,0.5,0.35} % comments
+\definecolor{javapurple}{rgb}{0.5,0,0.35} % keywords
+\definecolor{javadocblue}{rgb}{0.25,0.35,0.75} % javadoc
+  
+\lstdefinelanguage{scala}{
+  morekeywords={abstract,case,catch,class,def,%
+    do,else,extends,false,final,finally,%
+    for,if,implicit,import,match,mixin,%
+    new,null,object,override,package,%
+    private,protected,requires,return,sealed,%
+    super,this,throw,trait,true,try,%
+    type,val,var,while,with,yield},
+  otherkeywords={=>,<-,<\%,<:,>:,\#,@},
+  sensitive=true,
+  morecomment=[l]{//},
+  morecomment=[n]{/*}{*/},
+  morestring=[b]",
+  morestring=[b]',
+  morestring=[b]"""
+}
+
+\lstdefinelanguage{while}{
+  morekeywords={while, if, then. else, read, write},
+  otherkeywords={=>,<-,<\%,<:,>:,\#,@},
+  sensitive=true,
+  morecomment=[l]{//},
+  morecomment=[n]{/*}{*/},
+  morestring=[b]",
+  morestring=[b]',
+  morestring=[b]"""
+}
+
+
+\lstset{language=Scala,
+	basicstyle=\ttfamily,
+	keywordstyle=\color{javapurple}\bfseries,
+	stringstyle=\color{javagreen},
+	commentstyle=\color{javagreen},
+	morecomment=[s][\color{javadocblue}]{/**}{*/},
+	numbers=left,
+	numberstyle=\tiny\color{black},
+	stepnumber=1,
+	numbersep=10pt,
+	tabsize=2,
+	showspaces=false,
+	showstringspaces=false}
+
+
+
+\section*{Coursework 2}
+
+This coursework is worth 3\% and is due on 26 November at 16:00. You are asked to implement 
+a tokeniser for the WHILE language,  an evaluator for boolean and arithmetic expressions and
+a WHILE program for printing prime numbers.
+
+You need to submit a document containing the answers for the questions 
+below. You can do the implementation in any programming language you like, but you need 
+to submit the source code with which you answered the questions. However, the coursework 
+will \emph{only} be judged according to the answers. You can submit your answers
+in a txt-file or pdf.\bigskip
+
+
+\subsection*{Question 1 (marked with 1\%)}
+
+Implement a tokeniser for the WHILE language. (1) Keywords in this language
+are
+
+\begin{center}
+\texttt{while}, \texttt{if}, \texttt{then}, \texttt{else}, \texttt{do}, \texttt{for}, \texttt{to}, \texttt{true}, \texttt{false}
+\texttt{andalso}, \texttt{orelse}, \texttt{read}, \texttt{write}
+\end{center} 
+
+\noindent
+(2) Operators are
+
+\begin{center}
+\texttt{+}, \texttt{-}, \texttt{*}, \texttt{\%}, \texttt{==}, \texttt{!=}, \texttt{>}, \texttt{<}, \texttt{:=}
+\end{center} 
+
+\noindent
+(3) Strings are enclosed into \texttt{"\ldots"}, (4) you have parentheses \texttt{(}, \texttt{\{}, \texttt{)}, and \texttt{\}},
+(5) there are semicolons \texttt{;}, (6) whitespaces are either \texttt{" "} or \texttt{$\backslash$n},
+(7) comments either start with $\backslash\,\backslash$ and run to the end of the corresponding line 
+(\texttt{$\backslash$n}), comments can also been given by looking for $\slash\texttt{*}$ as the
+beginning marker and $\texttt{*}\slash{}$\smallskip as the end marker.
+
+\noindent
+(8) Identifiers are letters followed by underscores \texttt{\_}, letters
+or digits. (9) There are also numbers, like \texttt{0}, \text{1}, \ldots.\medskip
+
+Once you have implemented all regular expressions for (1) - (9), then
+give the token sequence for the Fibonacci program shown below.
+
+\subsection*{Question 2 (marked with 1\%)}
+
+Implement parser combinators and an evaluate function for arithmetic and boolean
+expressions.  Arithmetic operations should include $+$, $-$, $*$, $\%$ (quotient). Boolean
+operations should include $==$ (equal), $!=$ (unequal), $<$, $>$.
+ 
+Using the parser and evaluation function, calculate the values for
+
+\begin{itemize}
+\item \texttt{17 < 3 * 3 * 3}
+\item \texttt{(29 - 20) * 3}
+\item \texttt{79 - 20 * 3}
+\item \texttt{2 * 2 != 12 \% 3}
+\end{itemize} 
+ 
+\subsection*{Question 3 (marked with 1\%)}
+
+Write a program in the WHILE programming language that prints out all prime numbers between
+0 and a fixed number (say 100). As a guidance have a look at the Fibonacci program
+and three nested loops program shown below.
+
+
+\begin{center}
+\mbox{\lstinputlisting[language=while]{../progs/fib.while}}
+\end{center}
+
+\begin{center}
+\mbox{\lstinputlisting[language=while]{../progs/loops.while}}
+\end{center}
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: t
+%%% End: