| 316 |      1 | % !TEX program = xelatex
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| 66 |      2 | \documentclass[dvipsnames,14pt,t,xelatex]{beamer}
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| 318 |      3 | %\usepackage{chessboard}
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|  |      4 | %\usepackage[LSBC4,T1]{fontenc}
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| 66 |      5 | \usepackage{../slides}
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|  |      6 | \usepackage{../graphics}
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|  |      7 | \usepackage{../langs}
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| 318 |      8 | \usetikzlibrary{shapes}
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| 148 |      9 | % \usepackage{../data}
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| 66 |     10 | 
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|  |     11 | \hfuzz=220pt 
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|  |     12 | 
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|  |     13 | %\setmonofont[Scale=.88]{Consolas}
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|  |     14 | %\newfontfamily{\consolas}{Consolas}
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|  |     15 | 
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|  |     16 | \lstset{language=Scala,
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|  |     17 |         style=mystyle,
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|  |     18 |         numbersep=0pt,
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|  |     19 |         numbers=none,
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|  |     20 |         xleftmargin=0mm}
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|  |     21 | 
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|  |     22 | \newcommand{\bl}[1]{\textcolor{blue}{#1}}     
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|  |     23 | 
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|  |     24 | % beamer stuff 
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|  |     25 | \renewcommand{\slidecaption}{PEP (Scala) 02, King's College London}
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|  |     26 | 
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| 318 |     27 | \newcommand{\UParrow}[3]{%
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|  |     28 | \begin{textblock}{0}(#2,#3)%
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|  |     29 | \onslide<#1>{%
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|  |     30 | \begin{tikzpicture}%
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|  |     31 | \node at (0,0) [single arrow, shape border rotate=90, fill=red,text=red]{a};%
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|  |     32 | \end{tikzpicture}}%
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|  |     33 | \end{textblock}}
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| 66 |     34 | 
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|  |     35 | \begin{document}
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|  |     36 | 
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|  |     37 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |     38 | \begin{frame}[t]
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|  |     39 | \frametitle{%
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|  |     40 |   \begin{tabular}{@ {}c@ {}}
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|  |     41 |   \\[5mm]
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|  |     42 |   \huge PEP Scala (2) 
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|  |     43 |   \end{tabular}}
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|  |     44 | 
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|  |     45 |   \normalsize
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|  |     46 |   \begin{center}
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|  |     47 |   \begin{tabular}{ll}
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| 147 |     48 |     Email:  & christian.urban at kcl.ac.uk\\
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| 316 |     49 |     Office: & N\liningnums{7.07} (North Wing, Bush House)\bigskip\\
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|  |     50 |     Slides \& Code: & KEATS\bigskip\\
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|  |     51 |     Office Hours: &  Thursdays 12:00 -- 14:00\\
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|  |     52 |     Additionally: & (for Scala) Tuesdays 10:45 -- 11:45\\ 
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| 66 |     53 |   \end{tabular}
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|  |     54 |   \end{center}
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|  |     55 | 
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|  |     56 | 
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|  |     57 | \end{frame}
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|  |     58 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |     59 | 
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| 316 |     60 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |     61 | \begin{frame}[c,fragile]
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| 318 |     62 |   \frametitle{Scala 2.13.1}
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| 316 |     63 |   
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|  |     64 |   \begin{lstlisting}[language={},numbers=none,
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|  |     65 |     basicstyle=\ttfamily\small,xleftmargin=-2mm]
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|  |     66 |   $ scala
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|  |     67 |     
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|  |     68 |   Welcome to Scala 2.13.1 (Java HotSpot(TM) 
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|  |     69 |   64-Bit Server VM, Java 9). Type in expressions 
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|  |     70 |   for evaluation. Or try :help.
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|  |     71 |   
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|  |     72 |   scala>
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|  |     73 |   \end{lstlisting}%$
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|  |     74 |   \bigskip\bigskip
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|  |     75 |   
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|  |     76 |   With older versions you will get strange results with my reference implementation.
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|  |     77 |   
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|  |     78 |   \end{frame}
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|  |     79 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 202 |     80 | 
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| 147 |     81 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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| 202 |     82 | \begin{frame}[c,fragile]
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| 316 |     83 | \frametitle{Reference Implementation}
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|  |     84 |   
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|  |     85 | Keep your implementation and my reference implementation separate.\bigskip
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| 147 |     86 | 
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| 316 |     87 |   \begin{lstlisting}[language={},numbers=none,
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|  |     88 |     basicstyle=\ttfamily\small,xleftmargin=-2mm]
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|  |     89 |   $ scala -cp collatz.jar
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| 202 |     90 |   
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| 316 |     91 |   scala> CW6a.collatz(6)
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|  |     92 |   res0: Long = 8
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|  |     93 | 
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| 147 |     94 | 
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| 316 |     95 |   scala> import CW6a._
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|  |     96 |   scala> collatz(9)
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|  |     97 |   res1: Long = 19
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|  |     98 |   \end{lstlisting}%$
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| 202 |     99 | 
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| 147 |    100 | \end{frame}
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|  |    101 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 316 |    102 |   
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|  |    103 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    104 | \begin{frame}[t]
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|  |    105 |   \frametitle{Preliminary Part 7}
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|  |    106 |   
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|  |    107 |   \Large
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|  |    108 |   \[
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|  |    109 |     \texttt{overlap}(d_1, d_2) = \frac{d_1 \cdot d_2}{max(d_1^2, d_2^2)}  
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|  |    110 |   \]\bigskip
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|  |    111 | 
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|  |    112 |   \large
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|  |    113 |   \quad{}\;where \;$d_1^2$\; means \;$d_1 \cdot d_1$\; and so on
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|  |    114 | \end{frame}
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|  |    115 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    116 |   
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| 147 |    117 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    118 | \begin{frame}[c]
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| 317 |    119 |   \frametitle{Discussion Forum}
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|  |    120 |   
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|  |    121 |   \large
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| 318 |    122 |   ``Since we can't use \code{var}s I was wondering if we could use a stack?''
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| 317 |    123 |   \bigskip\bigskip\bigskip\bigskip
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| 147 |    124 | 
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| 317 |    125 |   \small
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|  |    126 |   My \pcode{collatz} and \pcode{collatz_max} functions are 4 loc each. 
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| 204 |    127 | \end{frame}
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|  |    128 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    129 | 
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|  |    130 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    131 | \begin{frame}[t]
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| 317 |    132 |   \frametitle{Email: Hate 'val'}
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|  |    133 |   
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|  |    134 |   \mbox{}\\[-22mm]\mbox{}
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|  |    135 |   
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|  |    136 |   \begin{center}
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|  |    137 |     \begin{bubble}[10.5cm]
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|  |    138 |     Subject: \textbf{Hate '\textbf{\texttt{val}}'}\hfill 01:00 AM\medskip\\
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|  |    139 |   
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|  |    140 |     Hello Mr Urban,\medskip\\
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|  |    141 |   
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|  |    142 |     I just wanted to ask, how are we suppose to work
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|  |    143 |     with the completely useless \textbf{\texttt{val}}, that can’t be changed ever? Why is
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|  |    144 |     this rule active at all? I’ve spent 4 hours not thinking on the
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|  |    145 |     coursework, but how to bypass this annoying rule. What’s the whole
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|  |    146 |     point of all these coursework, when we can’t use everything Scala
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|  |    147 |     gives us?!?\medskip\\
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|  |    148 |   
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|  |    149 |     Regards.\\
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|  |    150 |     \mbox{}\hspace{5mm}\textcolor{black!50}{<<deleted>>}\\
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|  |    151 |     \end{bubble}
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|  |    152 |   \end{center}
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|  |    153 |   
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|  |    154 | \end{frame}
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|  |    155 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    156 |   
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|  |    157 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    158 | \begin{frame}[c]
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| 204 |    159 | 
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| 317 |    160 |  \mbox{}\\[-25mm]\mbox{}
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| 204 |    161 | 
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|  |    162 | \begin{center}
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|  |    163 |   \begin{bubble}[10.5cm]
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| 317 |    164 |   Subject: \textbf{Re: Hate '\textbf{\texttt{val}}'}\hfill 01:02 AM\bigskip\bigskip\\
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| 204 |    165 | 
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| 317 |    166 |   \textcolor{black!70}{
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|  |    167 |     \textit{\large<<my usual rant about fp\ldots\\ concurrency bla bla\ldots{} better programs
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|  |    168 |     yada>>}}\bigskip\bigskip\bigskip
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|  |    169 |   
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|  |    170 |   PS: What are you trying to do where you desperately want to use \texttt{var}?
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| 204 |    171 |   \end{bubble}
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|  |    172 | \end{center}
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|  |    173 | 
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|  |    174 | \end{frame}
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|  |    175 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    176 | 
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| 317 |    177 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    178 | \begin{frame}[c,fragile]
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|  |    179 | 
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|  |    180 | \begin{textblock}{6}(0.5,0.5)
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|  |    181 | \begin{bubble}[11.5cm]
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|  |    182 |   \small  
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|  |    183 |   Subject: \textbf{Re: Re: Hate '\textbf{\texttt{val}}'}\hfill 01:04 AM\medskip\\
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| 204 |    184 | 
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| 317 |    185 |   \textbf{Right now my is\_legal function works fine:}
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|  |    186 |   
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|  |    187 | \footnotesize\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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|  |    188 |  def is_legal(dim: Int, path: Path)(x: Pos): Boolean = {
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|  |    189 |    var boolReturn = false
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|  |    190 |    if(x._1 > dim || x._2 > dim || x._1 < 0 || x._2 < 0) {
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|  |    191 |    else { var breakLoop = false
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|  |    192 |           if(path == Nil) { boolReturn = true }
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|  |    193 |           else { for(i <- 0 until path.length) {
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|  |    194 |                     if(breakLoop == false) {
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|  |    195 |                       if(path(i) == x) {
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|  |    196 |                         boolReturn = true
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|  |    197 |                         breakLoop = true
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|  |    198 |                       }
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|  |    199 |                       else { boolReturn = false }
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|  |    200 |                     } else breakLoop
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|  |    201 |             }
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|  |    202 |           }
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|  |    203 |           boolReturn
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|  |    204 |    }
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|  |    205 | \end{lstlisting}
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|  |    206 | \end{bubble}
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|  |    207 | \end{textblock}
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| 204 |    208 | 
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| 317 |    209 | \begin{textblock}{6}(8.2,11.8)
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|  |    210 | \begin{bubble}[5.5cm]\footnotesize\bf
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|  |    211 | \ldots{}but I can’t make it work with boolReturn being val. What approach would
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|  |    212 | you recommend in this case, and is using var in this case justified?
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|  |    213 | \end{bubble}
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| 204 |    214 | \end{textblock}
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|  |    215 | 
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| 317 |    216 | \only<2>{
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|  |    217 | \begin{textblock}{6}(0.3,11.8)
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|  |    218 |   \begin{bubble}[3.1cm]
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|  |    219 |     \textbf{Me:}
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|  |    220 |     \raisebox{-12mm}{\includegraphics[scale=0.08]{../pics/throwup.jpg}}
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|  |    221 |   \end{bubble}
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|  |    222 | \end{textblock}}
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|  |    223 | 
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|  |    224 | \end{frame}
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|  |    225 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
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|  |    226 | 
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|  |    227 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    228 | \begin{frame}[t,fragile]
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|  |    229 | 
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|  |    230 | \mbox{}\\[-25mm]\mbox{}
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|  |    231 | 
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|  |    232 | \begin{textblock}{6}(0.5,2)
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|  |    233 |   \begin{bubble}[11.5cm]
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|  |    234 |   Subject: \textbf{Re: Re: Re: Hate '\textbf{\texttt{val}}'}\hfill 01:06 AM\bigskip\\
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|  |    235 |   \small
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|  |    236 |   
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|  |    237 |   OK. So you want to make sure that the \texttt{x}-position is not outside the
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|  |    238 |   board....and furthermore you want to make sure that the \texttt{x}-position
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|  |    239 |   is not yet in the path list. How about something like\bigskip
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|  |    240 | 
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|  |    241 | \footnotesize\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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|  |    242 |  def is_legal(dim: Int, path: Path)(x: Pos): Boolean = 
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|  |    243 |    ...<<some board conditions>>... && !path.contains(x)
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|  |    244 | \end{lstlisting}\bigskip
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|  |    245 |   
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|  |    246 |   \small Does not even contain a \texttt{val}.
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|  |    247 |   \end{bubble}
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|  |    248 | \end{textblock}
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|  |    249 | 
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|  |    250 | \begin{textblock}{6}(7,12)
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|  |    251 | \footnotesize\textcolor{black!50}{(This is all on one line)}
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| 204 |    252 | \end{textblock}
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|  |    253 | 
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| 317 |    254 | \end{frame}
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|  |    255 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    256 | 
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|  |    257 | 
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|  |    258 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    259 | \begin{frame}[t,fragile]
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|  |    260 | 
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|  |    261 | \mbox{}\\[-15mm]\mbox{}
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|  |    262 | 
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|  |    263 | \begin{textblock}{6}(1,3)
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|  |    264 |   \begin{bubble}[10.5cm]
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|  |    265 |     Subject: \textbf{Re: Re: Re: Re: Hate '\textbf{\texttt{val}}'}\hfill 11:02 AM\bigskip\bigskip\\
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|  |    266 |     
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|  |    267 |     THANK YOU! You made me change my coding perspective. Because of you,
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|  |    268 |     I figured out the next one\ldots
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|  |    269 |   \end{bubble}
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|  |    270 | \end{textblock}
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| 147 |    271 | 
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| 317 |    272 | \only<2>{
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|  |    273 | \begin{textblock}{6}(0.3,11.8)
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|  |    274 |   \begin{bubble}[3.1cm]
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|  |    275 |     \textbf{Me:}
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|  |    276 |     \raisebox{-12mm}{\includegraphics[scale=0.15]{../pics/happy.jpg}}
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|  |    277 |   \end{bubble}
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|  |    278 | \end{textblock}}
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|  |    279 | 
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|  |    280 | \end{frame}
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|  |    281 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
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|  |    282 | 
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|  |    283 | 
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|  |    284 |  
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|  |    285 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    286 | \begin{frame}[c]
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|  |    287 | \frametitle{Assignments}
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|  |    288 | 
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|  |    289 | Don't change any names or types in the templates!\bigskip
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|  |    290 | 
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|  |    291 | Avoid at all costs:
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|  |    292 | 
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|  |    293 | \begin{itemize}
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|  |    294 | \item \code{var} 
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|  |    295 | \item \code{return} 
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|  |    296 | \item \texttt{ListBuffer}
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|  |    297 | \item \texttt{mutable}
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|  |    298 | \item \texttt{.par}  
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|  |    299 | \end{itemize}\bigskip\bigskip
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|  |    300 | 
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|  |    301 | I cannot think of a good reason to use stacks.
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| 147 |    302 | \end{frame}
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|  |    303 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    304 | 
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|  |    305 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    306 | \begin{frame}[t]
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|  |    307 | \frametitle{For-Comprehensions Again}
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|  |    308 | 
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|  |    309 | \begin{center}
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|  |    310 |   \begin{tikzpicture}[scale=1,
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|  |    311 |                       node/.style={
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|  |    312 |                       rectangle,rounded corners=3mm,
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|  |    313 |                       very thick,draw=black!50,
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|  |    314 |                       minimum height=18mm, minimum width=20mm,
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|  |    315 |                       top color=white,bottom color=black!20}]
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|  |    316 | 
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|  |    317 |   \node (A0) at (0.1,0) {\texttt{\textcolor{purple}{\textbf{for}} (\alert<2->{n} <- List(}};
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|  |    318 |   \node (A1) at (2.3,0) {\texttt{\phantom{,}1,}};
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|  |    319 |   \node (A2) at (3.2,0) {\texttt{\phantom{,}2,}};
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|  |    320 |   \node (A3) at (4.1,0) {\texttt{\phantom{,}3,}};
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|  |    321 |   \node (A4) at (5.0,0) {\texttt{\phantom{,}4,}};
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|  |    322 |   \node (A5) at (5.9,0) {\texttt{\phantom{))}5))}};
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|  |    323 |   \node (A6) at (8,0) {\texttt{\textcolor{purple}{\textbf{yield}} \alert<2->{n\,*\,n}}};
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|  |    324 | 
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|  |    325 |   \onslide<2->{
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|  |    326 |   \node (B0) at (1.4,-3) {\texttt{List(}};
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|  |    327 |   \node (B1) at (2.3,-3) {\texttt{\phantom{,}1,}};
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|  |    328 |   \node (B2) at (3.6,-3) {\texttt{\phantom{,}4,}};
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|  |    329 |   \node (B3) at (4.9,-3) {\texttt{\phantom{,}9,}};
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|  |    330 |   \node (B4) at (6.2,-3) {\texttt{\phantom{,}16,}};
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|  |    331 |   \node (B5) at (7.5,-3) {\texttt{\phantom{,}25)}};}
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|  |    332 | 
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|  |    333 |   \onslide<2->{
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|  |    334 |   \draw [->,line width=1mm] (A1.south) -- (B1.north);
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|  |    335 |   \draw [->,line width=1mm] (A2.south) -- (B2.north);
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|  |    336 |   \draw [->,line width=1mm] (A3.south) -- (B3.north);
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|  |    337 |   \draw [->,line width=1mm] (A4.south) -- (B4.north);
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|  |    338 |   \draw [->,line width=1mm] (A5.south) -- (B5.north);}
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|  |    339 | 
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|  |    340 |   \onslide<2->{
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|  |    341 |   \node (Q1) at (-0.45,-0.1) {};
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|  |    342 |   \node (Q2) at (-0.45,-2.8) {};
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|  |    343 |   \node (Q3) at (-0.45,-2.95) {\alert<2->{\texttt{n\,*\,n:}}};
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|  |    344 |   \draw [->,red,line width=1mm] (Q1.south) -- (Q2.north);}
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|  |    345 |  \end{tikzpicture}
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|  |    346 | \end{center}
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|  |    347 | 
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|  |    348 | \onslide<3>{This is for when the for-comprehension\\ \textbf{yields / produces} a result.}
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|  |    349 | 
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|  |    350 | \end{frame}
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|  |    351 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    352 | 
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|  |    353 | 
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|  |    354 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    355 | \begin{frame}[t]
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|  |    356 | \frametitle{For-Comprehensions Again}
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|  |    357 | 
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|  |    358 | \begin{center}
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|  |    359 |   \begin{tikzpicture}[scale=1,
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|  |    360 |                       node/.style={
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|  |    361 |                       rectangle,rounded corners=3mm,
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|  |    362 |                       very thick,draw=black!50,
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|  |    363 |                       minimum height=18mm, minimum width=20mm,
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|  |    364 |                       top color=white,bottom color=black!20}]
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|  |    365 | 
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|  |    366 |   \node (A0) at (0,0)
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|  |    367 |     {\texttt{\textcolor{purple}{\textbf{for}} (n <- List(1, 2, 3, 4, 5))
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|  |    368 |              \textcolor{purple}{\textbf{yield}} n\,*\,n}};
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|  |    369 | 
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|  |    370 |   \node (A1) at (0,-1.5) {\LARGE\textbf{vs}};       
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|  |    371 |          
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|  |    372 |   \node (A2) at (0,-3)
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|  |    373 |     {\texttt{\textcolor{purple}{\textbf{for}} (n <- List(1, 2, 3, 4, 5)) println(n)}};
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|  |    374 |  \end{tikzpicture}
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|  |    375 | \end{center}\bigskip
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|  |    376 | 
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|  |    377 | 
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|  |    378 | The second version is in case the for \textbf{does not}
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|  |    379 | produce any result.
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|  |    380 | 
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|  |    381 | \end{frame}
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|  |    382 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    383 | 
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|  |    384 | 
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|  |    385 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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| 318 |    386 | \begin{frame}[c,fragile]
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|  |    387 |   %\frametitle{Option Type}
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|  |    388 |   
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|  |    389 |   Find something below 4 in a list. What do you think Scala answers?\bigskip\bigskip
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|  |    390 |   
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|  |    391 |   \begin{onlyenv}<1>
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|  |    392 |   \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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|  |    393 |   List(7,2,3,4,5,6).find(_ < 4)
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|  |    394 |        
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|  |    395 |   List(5,6,7,8,9).find(_ < 4)
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|  |    396 |   \end{lstlisting}
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|  |    397 |   \end{onlyenv}
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|  |    398 |   \begin{onlyenv}<2>
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|  |    399 |   \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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|  |    400 |   List(7,2,3,4,5,6).find(_ < 4)
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|  |    401 |   res: Option[Int] = Some(2)
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|  |    402 |    
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|  |    403 |   List(5,6,7,8,9).find(_ < 4)
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|  |    404 |   res: Option[Int] = None
 | 
|  |    405 |   \end{lstlisting}
 | 
|  |    406 |   \end{onlyenv}
 | 
|  |    407 |   
 | 
|  |    408 |   \end{frame}
 | 
|  |    409 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    410 |  
 | 
|  |    411 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    412 | \begin{frame}[c]
 | 
|  |    413 | \frametitle{Option Type}
 | 
|  |    414 |     
 | 
|  |    415 | \begin{itemize}
 | 
|  |    416 | \item if the value is present, you use\bigskip
 | 
|  |    417 | \begin{center}\pcode{Some(value)}\end{center}\bigskip\bigskip
 | 
|  |    418 | 
 | 
|  |    419 | \item if no value is present, you use\bigskip
 | 
|  |    420 | \begin{center}\pcode{None}\end{center}\bigskip\bigskip
 | 
|  |    421 | \end{itemize}
 | 
|  |    422 | 
 | 
|  |    423 | \small e.g.~\code{Option[Int]}, then \code{Some(42)} and \code{None}\\
 | 
|  |    424 | good for error handling      
 | 
|  |    425 | \end{frame}
 | 
|  |    426 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    427 |     
 | 
|  |    428 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    429 | \begin{frame}[c,fragile]
 | 
| 317 |    430 | \frametitle{Option Type}
 | 
| 66 |    431 | 
 | 
| 318 |    432 | \small   
 | 
|  |    433 | \begin{onlyenv}<1>
 | 
|  |    434 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
 | 
|  |    435 | Integer.parseInt("1234")
 | 
| 66 |    436 | 
 | 
| 318 |    437 | // vs.
 | 
|  |    438 | 
 | 
|  |    439 | def get_me_an_int(s: String) : Option[Int] = 
 | 
|  |    440 |  Try(Some(Integer.parseInt(s))).getOrElse(None)
 | 
|  |    441 | \end{lstlisting}
 | 
|  |    442 | \end{onlyenv}\bigskip\bigskip\bigskip
 | 
|  |    443 |  
 | 
| 319 |    444 | in the Scala code it is clear from the type I that have to deal 
 | 
| 318 |    445 | with the \pcode{None}-case; no JavaDoc needed
 | 
| 66 |    446 |   
 | 
|  |    447 | \end{frame}
 | 
| 147 |    448 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 318 |    449 |  
 | 
| 66 |    450 | 
 | 
| 317 |    451 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
| 318 |    452 | \begin{frame}[c,fragile]
 | 
| 317 |    453 | \frametitle{Higher-Order Functions}
 | 
|  |    454 |   
 | 
| 318 |    455 | In Scala, functions can take other functions as arguments and can return 
 | 
|  |    456 | a function as a result.\bigskip\bigskip  
 | 
|  |    457 | 
 | 
|  |    458 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
 | 
|  |    459 | List(7,2,3,4,5,6).find(_ < 4)
 | 
|  |    460 | \end{lstlisting}
 | 
|  |    461 |     
 | 
|  |    462 | \UParrow{1}{10}{11}    
 | 
|  |    463 | \end{frame}
 | 
|  |    464 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 317 |    465 |   
 | 
| 318 |    466 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    467 | \begin{frame}[c,fragile]
 | 
|  |    468 | \frametitle{Higher-Order Functions (2)}
 | 
|  |    469 |   
 | 
|  |    470 | 
 | 
|  |    471 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
 | 
|  |    472 | def even(x: Int) : Boolean = x % 2 == 0
 | 
|  |    473 | 
 | 
|  |    474 | List(1, 2, 3, 4, 5).filter(even)
 | 
|  |    475 |   res : List[Int] = List(2, 4)
 | 
|  |    476 | 
 | 
|  |    477 | List(1, 2, 3, 4, 5).count(even)
 | 
|  |    478 |   res : Int = 2
 | 
|  |    479 | 
 | 
|  |    480 | List(1, 2, 3, 4, 5).find(even)
 | 
|  |    481 |   res: Option[Int] = Some(2)
 | 
|  |    482 | \end{lstlisting}
 | 
| 317 |    483 |     
 | 
|  |    484 | \end{frame}
 | 
|  |    485 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 318 |    486 |     
 | 
|  |    487 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    488 | \begin{frame}[c,fragile]
 | 
|  |    489 | \frametitle{map (lower case)}
 | 
|  |    490 | 
 | 
|  |    491 |  applies a function to each element of a list (and more)
 | 
|  |    492 | 
 | 
|  |    493 | \begin{center}
 | 
|  |    494 | \begin{tikzpicture}[scale=0.9]
 | 
|  |    495 |                       
 | 
|  |    496 |   \node (A0) at (1.2,0) {\texttt{List(\,}};
 | 
|  |    497 |   \node (A1) at (2.0,0) {\texttt{1\makebox[0mm]{ ,}}};
 | 
|  |    498 |   \node (A2) at (2.9,0) {\texttt{2\makebox[0mm]{ ,}}};
 | 
|  |    499 |   \node (A3) at (3.8,0) {\texttt{3\makebox[0mm]{ ,}}};
 | 
|  |    500 |   \node (A4) at (4.7,0) {\texttt{4\makebox[0mm]{ ,}}};
 | 
|  |    501 |   \node (A5) at (5.6,0) {\texttt{5\makebox[0mm]{ ,}}};
 | 
|  |    502 |   \node (A6) at (6.5,0) {\texttt{6\makebox[0mm]{ ,}}};
 | 
|  |    503 |   \node (A7) at (7.4,0) {\texttt{7\makebox[0mm]{ ,}}};
 | 
|  |    504 |   \node (A8) at (8.3,0) {\texttt{8)}};
 | 
|  |    505 | 
 | 
|  |    506 |   \node (B0) at (1.2,-3) {\texttt{List(\,}};
 | 
|  |    507 |   \node (B1) at (2.0,-3) {\texttt{1\makebox[0mm]{ ,}}};
 | 
|  |    508 |   \node (B2) at (3.0,-3) {\texttt{4\makebox[0mm]{ ,}}};
 | 
|  |    509 |   \node (B3) at (4.1,-3) {\texttt{9\makebox[0mm]{ ,}}};
 | 
|  |    510 |   \node (B4) at (5.2,-3) {\texttt{16\makebox[0mm]{ ,}}};
 | 
|  |    511 |   \node (B5) at (6.3,-3) {\texttt{25\makebox[0mm]{ ,}}};
 | 
|  |    512 |   \node (B6) at (7.4,-3) {\texttt{36\makebox[0mm]{ ,}}};
 | 
|  |    513 |   \node (B7) at (8.4,-3) {\texttt{49\makebox[0mm]{ ,}}};
 | 
|  |    514 |   \node (B8) at (9.4,-3) {\texttt{64\makebox[0mm]{ )}}};
 | 
|  |    515 | 
 | 
|  |    516 |   \draw [->,line width=1mm] (A1.south) -- (B1.north);
 | 
|  |    517 |   \draw [->,line width=1mm] (A2.south) -- (B2.north);
 | 
|  |    518 |   \draw [->,line width=1mm] (A3.south) -- (B3.north);
 | 
|  |    519 |   \draw [->,line width=1mm] (A4.south) -- (B4.north);
 | 
|  |    520 |   \draw [->,line width=1mm] (A5.south) -- (B5.north);
 | 
|  |    521 |   \draw [->,line width=1mm] (A6.south) -- (B6.north);
 | 
|  |    522 |   \draw [->,line width=1mm] (A7.south) -- (B7.north);
 | 
|  |    523 |   \draw [->,line width=1mm] (A8.south) -- (B8.north);
 | 
|  |    524 | 
 | 
|  |    525 |   \node [red] (Q0) at (-0.5,-0.3) {\large\texttt{n}}; 
 | 
|  |    526 |   \node (Q1) at (-0.5,-0.4) {};
 | 
|  |    527 |   \node (Q2) at (-0.5,-2.5) {};
 | 
|  |    528 |   \node [red] (Q3) at (-0.5,-2.65) {\large\texttt{n\,*\,n}};
 | 
|  |    529 |   \draw [->,red,line width=1mm] (Q1.south) -- (Q2.north);
 | 
|  |    530 | 
 | 
|  |    531 |   \node [red] at (-1.5,-1.5) {\Large{}\it\textbf{map}};
 | 
|  |    532 |  \end{tikzpicture}
 | 
|  |    533 | \end{center}\bigskip
 | 
|  |    534 | 
 | 
|  |    535 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
 | 
|  |    536 | List(1,2,3,4,5,6,7,8).map(n => n * n)
 | 
|  |    537 | \end{lstlisting}
 | 
|  |    538 | \end{frame}
 | 
|  |    539 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 317 |    540 |   
 | 
| 318 |    541 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    542 | \begin{frame}[c,fragile]
 | 
|  |    543 | \frametitle{For-Comprehensions are maps}
 | 
|  |    544 |   
 | 
|  |    545 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
 | 
|  |    546 | for (n <- List(1,2,3,4,5,6,7,8)) 
 | 
|  |    547 |   yield n * n
 | 
|  |    548 | 
 | 
|  |    549 | 
 | 
|  |    550 | // is just syntactic sugar for
 | 
|  |    551 | 
 | 
|  |    552 | 
 | 
|  |    553 | List(1,2,3,4,5,6,7,8).map(n => n * n)
 | 
|  |    554 | \end{lstlisting}
 | 
|  |    555 |     
 | 
|  |    556 | \end{frame}
 | 
|  |    557 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    558 |     
 | 
|  |    559 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    560 | \begin{frame}[c,fragile]
 | 
|  |    561 | \frametitle{Map (upper case)}
 | 
|  |    562 | 
 | 
|  |    563 | a type, representing a key-value association datastructure\bigskip\bigskip
 | 
|  |    564 | 
 | 
|  |    565 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
 | 
|  |    566 | val ascii = 
 | 
|  |    567 |      ('a' to 'z').map(c => (c, c.toInt))
 | 
|  |    568 | 
 | 
|  |    569 | val ascii_Map = ascii.toMap
 | 
|  |    570 | 
 | 
|  |    571 | ascii_Map.get('a')   // -> 97
 | 
|  |    572 | \end{lstlisting}
 | 
|  |    573 | \end{frame}
 | 
|  |    574 | 
 | 
|  |    575 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    576 | \begin{frame}[c,fragile]
 | 
| 319 |    577 | \frametitle{Pattern Matching}
 | 
|  |    578 | 
 | 
|  |    579 | \ldots on pairs:\bigskip
 | 
| 318 |    580 | 
 | 
| 319 |    581 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
 | 
|  |    582 | def fizz_buzz(n: Int) : String = 
 | 
|  |    583 |  (n % 3, n % 5) match {
 | 
|  |    584 |    case (0, 0) => "fizz buzz"
 | 
|  |    585 |    case (0, _) => "fizz"
 | 
|  |    586 |    case (_, 0) => "buzz"
 | 
|  |    587 |    case _ => n.toString  
 | 
|  |    588 |  }
 | 
|  |    589 | \end{lstlisting}
 | 
|  |    590 | \end{frame}
 | 
| 318 |    591 | 
 | 
| 319 |    592 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    593 | \begin{frame}[c,fragile]
 | 
|  |    594 | \frametitle{Recursion}
 | 
| 318 |    595 | 
 | 
|  |    596 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
 | 
|  |    597 | def fib(n: Int) : Int = { 
 | 
|  |    598 |   if (n == 0 || n == 1) 1
 | 
|  |    599 |    else fib(n - 1) + fib(n - 2)
 | 
|  |    600 | }
 | 
|  |    601 | \end{lstlisting}
 | 
|  |    602 | \end{frame}
 | 
|  |    603 | 
 | 
|  |    604 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    605 | \begin{frame}[c,fragile]
 | 
|  |    606 | \frametitle{Recursion}
 | 
|  |    607 | 
 | 
|  |    608 | \small
 | 
|  |    609 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-4mm]
 | 
|  |    610 | def my_flatten(xs: List[Option[Int]]): List[Int] = 
 | 
|  |    611 |  xs match {
 | 
|  |    612 |    case Nil => Nil 
 | 
|  |    613 |    case None :: rest => my_flatten(rest)
 | 
|  |    614 |    case Some(v) :: rest => v :: my_flatten(rest)
 | 
|  |    615 |  }
 | 
|  |    616 | \end{lstlisting}
 | 
|  |    617 | \end{frame}
 | 
|  |    618 | 
 | 
|  |    619 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 317 |    620 | 
 | 
| 148 |    621 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 316 |    622 | \begin{frame}[c]
 | 
|  |    623 | \frametitle{\begin{tabular}{c}\\[0cm]\alert{Questions?}\end{tabular}}
 | 
| 66 |    624 | 
 | 
| 148 |    625 | \begin{center}
 | 
| 316 |    626 |   \begin{tabular}[t]{@{}l@{}l@{}}
 | 
|  |    627 |     \includegraphics[scale=0.1]{../pics/mand4.png} & \hspace{4mm}
 | 
|  |    628 |     \raisebox{0mm}{\includegraphics[scale=0.1]{../pics/mand3.png}}      
 | 
|  |    629 |   \end{tabular}     
 | 
|  |    630 | \end{center}
 | 
|  |    631 | 
 | 
|  |    632 | \begin{center}
 | 
|  |    633 |   My Office Hours: Thursdays 12 -- 14\\
 | 
|  |    634 |   And specifically for Scala: Tuesdays 10:45 -- 11:45
 | 
| 148 |    635 | \end{center}
 | 
| 66 |    636 | \end{frame}
 | 
|  |    637 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
 | 
|  |    638 | 
 | 
|  |    639 | 
 | 
| 318 |    640 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    641 | \begin{frame}[t]
 | 
|  |    642 | 
 | 
|  |    643 |   \begin{center}  
 | 
|  |    644 |   \includegraphics[scale=0.3]{../pics/blow.png}
 | 
|  |    645 |   \end{center}
 | 
|  |    646 |   
 | 
|  |    647 |   \begin{textblock}{14}(2,11.4)
 | 
|  |    648 |   \large\bf{}Mind-Blowing Programming Languages:\\ 
 | 
|  |    649 |   Overloading in any language is great but it makes a difference\; \code{10/3}
 | 
|  |    650 |   \;or\; \code{10.0/3}
 | 
|  |    651 |   \end{textblock}
 | 
|  |    652 |   \end{frame}
 | 
|  |    653 |   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    654 |     
 | 
|  |    655 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    656 | \begin{frame}[t]
 | 
|  |    657 | 
 | 
|  |    658 |   \begin{center}  
 | 
|  |    659 |   \includegraphics[scale=0.3]{../pics/blow.png}
 | 
|  |    660 |   \end{center}
 | 
|  |    661 |   
 | 
|  |    662 |   \begin{textblock}{14}(2,11.4)
 | 
|  |    663 |   \large\bf{}Mind-Blowing Programming Languages:\\ 
 | 
| 319 |    664 |   \centering PHP \textcolor{gray}{(7.0)}
 | 
| 318 |    665 |   \end{textblock}
 | 
|  |    666 |   \end{frame}
 | 
|  |    667 |   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    668 | 
 | 
| 319 |    669 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    670 | 
 | 
|  |    671 | \begin{frame}[c]
 | 
|  |    672 | \frametitle{Jumping Towers}
 | 
|  |    673 | 
 | 
|  |    674 | \begin{center}
 | 
|  |    675 | \begin{tikzpicture}[scale=1.2]
 | 
|  |    676 |   \draw[line width=1mm,cap=round] (0,0) -- (5,0);
 | 
|  |    677 |   \draw[line width=1mm,cap=round] (0,1) -- (5,1);
 | 
|  |    678 | 
 | 
|  |    679 |   \draw[line width=1mm,cap=round] (0,0) -- (0,1);
 | 
|  |    680 |   \node at (0.5,0.5) {\textbf{\Large 3}};
 | 
|  |    681 | 
 | 
|  |    682 |   \draw[line width=1mm,cap=round] (1,0) -- (1,1);
 | 
|  |    683 |   \node at (1.5,0.5) {\textbf{\Large 4}};
 | 
|  |    684 | 
 | 
|  |    685 |   \draw[line width=1mm,cap=round] (2,0) -- (2,1);
 | 
|  |    686 |   \node at (2.5,0.5) {\textbf{\Large 2}};
 | 
|  |    687 | 
 | 
|  |    688 |   \draw[line width=1mm,cap=round] (3,0) -- (3,1);
 | 
|  |    689 |   \node at (3.5,0.5) {\textbf{\Large 0}};
 | 
|  |    690 |   
 | 
|  |    691 |   \draw[line width=1mm,cap=round] (4,0) -- (4,1);
 | 
|  |    692 | 
 | 
|  |    693 |   \node at (4.5,0.5) {\textbf{\Large 1}};
 | 
|  |    694 |   
 | 
|  |    695 |   \draw[line width=1mm,cap=round] (5,0) -- (5,1);
 | 
|  |    696 | 
 | 
|  |    697 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (1.5,1);
 | 
|  |    698 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (2.5,1);
 | 
|  |    699 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (3.5,1);
 | 
|  |    700 | 
 | 
|  |    701 |   \draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (3.5,0);
 | 
|  |    702 |   \draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (4.5,0);
 | 
|  |    703 | 
 | 
|  |    704 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (4.5,1) to (5.7,1);
 | 
|  |    705 |   \node at (5.7, 0.8) {End};
 | 
|  |    706 | \end{tikzpicture}
 | 
|  |    707 | \end{center}\bigskip
 | 
|  |    708 | 
 | 
|  |    709 | 
 | 
|  |    710 | shortest: 3 $\rightarrow$ 4 $\rightarrow$ End
 | 
|  |    711 | 
 | 
|  |    712 | \end{frame}
 | 
|  |    713 | 
 | 
|  |    714 | 
 | 
|  |    715 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
|  |    716 | 
 | 
|  |    717 | 
 | 
|  |    718 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    719 | 
 | 
|  |    720 | \begin{frame}[c]
 | 
|  |    721 | \frametitle{``Children'' / moves}
 | 
|  |    722 | 
 | 
|  |    723 | \begin{center}
 | 
|  |    724 |   \begin{tikzpicture}
 | 
|  |    725 |     [grow=right,level distance=30mm,child anchor=north,line width=0.5mm]
 | 
|  |    726 |   \node {$[3,4,2,0,1]$}
 | 
|  |    727 |      child {node {$[0,1]$}}
 | 
|  |    728 |      child {node {$[2,0,1]$}
 | 
|  |    729 |         child {node {$[1]$} child [level distance=13mm] {node {End}}}
 | 
|  |    730 |         child {node {$[0,1]$}}
 | 
|  |    731 |      }
 | 
|  |    732 |      child {node {$[4,2,0,1]$\ldots}};
 | 
|  |    733 | \end{tikzpicture}
 | 
|  |    734 | \end{center}
 | 
|  |    735 | 
 | 
|  |    736 | 
 | 
|  |    737 | 
 | 
|  |    738 | \end{frame}
 | 
|  |    739 | 
 | 
|  |    740 | 
 | 
|  |    741 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 318 |    742 | 
 | 
| 66 |    743 | \end{document}
 | 
|  |    744 | 
 | 
|  |    745 | %%% Local Variables:  
 | 
|  |    746 | %%% mode: latex
 | 
|  |    747 | %%% TeX-master: t
 | 
|  |    748 | %%% End: 
 | 
|  |    749 | 
 |