% !TEX program = xelatex

\documentclass[dvipsnames,14pt,t,xelatex,aspectratio=169,xcolor={table}]{beamer}

\usepackage{../styles/slides}

\usepackage{../styles/mygraphs}

\usepackage{../styles/langs}

%%\usepackage{../data}

\usepackage[export]{adjustbox}

\usetikzlibrary{shapes}

\hfuzz=220pt 

%\setmonofont[Scale=.88]{Consolas}

%\newfontfamily{\consolas}{Consolas}

\lstset{language=Scala,

        style=mystyle,

        numbersep=0pt,

        numbers=none,

        xleftmargin=0mm}

\newcommand{\LEFTarrow}[3]{%

\begin{textblock}{0}(#2,#3)%

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\begin{tikzpicture}%

\node at (0,0) [single arrow, shape border rotate=180, fill=red,text=red]{a};%

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\newcommand{\bl}[1]{\textcolor{blue}{#1}}     

% beamer stuff 

\renewcommand{\slidecaption}{PEP (Scala) 04, King's College London}

% Swift, example (a*)*b  

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% Dart, example (a*)*b  

\begin{filecontents}{re-dart.data}

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23 0.340

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6000001 40.16373

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9000  0.93981

10000 0.97419

11000 1.28697

12000 1.51387

14000 2.07079

16000 2.69846

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\begin{document}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]

\frametitle{%

  \begin{tabular}{@ {}c@ {}}

  \\[5mm]

  \huge PEP Scala (4) 

  \end{tabular}}

  \normalsize

  \begin{center}

  \begin{tabular}{ll}

    Email:  & christian.urban at kcl.ac.uk\\

    %%Office: & N\liningnums{7.07} (North Wing, Bush House)\bigskip\\

    Slides \& Code: & KEATS\bigskip\\

    Office Hour: &  Fridays 13:00 -- 14:00\\

    Location: & N7.07 (North Wing, Bush House)\bigskip\\

    Pollev: & \texttt{\alert{https://pollev.com/cfltutoratki576}}\\  \\

  \end{tabular}

  \end{center}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\begin{frame}[c]

%\frametitle{Hints in CW}

%

%\begin{center}  

%\includegraphics[scale=0.4]{../pics/hints.png}

%\end{center}

%

%\small

%\begin{itemize}

%  \item Scala Library, e.g.~\texttt{span} in \\

%  \url{https://www.scala-lang.org/api/current/scala/collection/immutable/List.html}

%\end{itemize}

%\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\begin{frame}[c]

%\frametitle{Discussion Forum}

%\begin{center}  

%\includegraphics[scale=0.38]{/Users/cu/discussion.png}

%\end{center}

%\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     

% \begin{frame}[c]

% \frametitle{Preliminary 7}

% Raw marks (261 submissions):\bigskip

% \begin{itemize}

% \item 4\%: \hspace{4mm}236

% \item 3\%: \hspace{4mm}10

% \item 2\%: \hspace{4mm}1

% \item 1\%: \hspace{4mm}0

% \item 0\%: \hspace{4mm}15 

% \end{itemize}\bigskip\bigskip  

% \footnotesize

% (plagiarism/collusion interviews ongoing!)

% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% \begin{frame}[c,fragile]

% \small

% \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]

% def is_legal(dim: Int, p: Path, x: Pos) = {

%   if (...some_really_long_condition...) false

%   else true

% }

% \end{lstlisting}

% \pause

% \bigskip

% \rule{11cm}{0.3mm}

% \bigskip

% \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]

% def is_legal(dim: Int, p: Path, x: Pos) = 

%   !(...some_really_long_condition...)

% \end{lstlisting}

% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% \begin{frame}[c,fragile]

% \small

% \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]

% def foobar(...) = {

%   val cs = for (c <- str) yield c.toLowerCase

%   ...

% }

% \end{lstlisting}

% \pause

% \bigskip

% \rule{11cm}{0.3mm}

% \bigskip

% \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]

% def foobar(...) = {

%   val cs = str.map(_.toLowerCase)

%   ...

% }

% \end{lstlisting}

% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% \begin{frame}[c,fragile]

% \small

% \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-7mm]

% def RomanNumeral2Int(rs: RomanNumeral): Int = 

%  rs match { 

%    case Nil => 0

%    case M::r    => 1000 + RomanNumeral2Int(r)  

%    case C::M::r => 900 + RomanNumeral2Int(r)

%    case D::r    => 500 + RomanNumeral2Int(r)

%    case C::D::r => 400 + RomanNumeral2Int(r)

%    case C::r    => 100 + RomanNumeral2Int(r)

%    case X::C::r => 90 + RomanNumeral2Int(r)

%    case L::r    => 50 + RomanNumeral2Int(r)

%    case X::L::r => 40 + RomanNumeral2Int(r)

%    case X::r    => 10 + RomanNumeral2Int(r)

%    case I::X::r => 9 + RomanNumeral2Int(r)

%    case V::r    => 5 + RomanNumeral2Int(r)

%    case I::V::r => 4 + RomanNumeral2Int(r)

%    case I::r    => 1 + RomanNumeral2Int(r)

%  }

% \end{lstlisting}

% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[c,fragile]

\frametitle{Last Week: Pattern Matching} 

\small

\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=3mm]

def fizz_buzz(n: Int) : String = 

  (n % 3, n % 5) match {

    case (0, 0) => "fizz buzz"

    case (0, _) => "fizz"

    case (_, 0) => "buzz"

    case _ => n.toString  

  }

\end{lstlisting}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[c,fragile]

\frametitle{Last Week: Pattern Matching} 

\small

\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=3mm]

def mkeps(r: Rexp) : Val = r match {

  case ONE => Empty

  case ALT(r1, r2) => ...

  case SEQ(r1, r2) => ...

  case STAR(r) => ...

  case RECD(x, r1) => Rec(x, mkeps(r))

  ...

}

\end{lstlisting}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     

\begin{frame}[c,fragile]

\frametitle{Reverse Polish Notation}

{\Large\bl{$(3 + 1) * (2 + 9)$}}\bigskip

{\Large$\Rightarrow$}\bigskip

{\;\;\Large\bl{$3\;\;1\;+\;2\;\;9\;+\;*$}}

\begin{textblock}{3}(11,4)

\begin{onlyenv}<2>

\begin{lstlisting}[language=JVMIS]

ldc 3

ldc 1

iadd

ldc 2

ldc 9

iadd

imul

\end{lstlisting}

\end{onlyenv} 

\end{textblock}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     

% \begin{frame}[c,fragile]

% \frametitle{Sudoku}

% A very simple-minded version on 110 problems:\bigskip

% \begin{itemize}

% \item 1 core: 800 secs

% \item 2 cores: 400 secs

% \item 8 cores: 290 secs

% \item 18 cores: 142 secs

% \end{itemize}

% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% \begin{frame}[t]

%   \begin{center}  

%   \includegraphics[scale=0.3]{../pics/blow.png}

%   \end{center}

%   \begin{textblock}{14}(2,11.4)

%   \large\bf{}Mind-Blowing Regular Expressions:\\ 

%   \centering in Python, JavaScript, Java

%   \end{textblock}

% \end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[c,fragile]

\frametitle{Regular Expressions} 

Suppose you have the regular expression 

\only<1-3>{\alert{\texttt{(a*)b}}}%

\only<4->{\alert{\texttt{(a*)*b}}} :\bigskip

\begin{center}

\only<1>{\code{"aaaaaaaaaaaaaaab"}}

\only<2>{\code{"aaaaa...........aaaaaaaaaaaaaaaaaaaab"}}

\only<3>{\code{"aaaaa...........aaaaaaaaaaaaaaaaaaaa"}}

\only<4>{\code{"aaaaa...........aaaaaaaaaaaaaaaaaaaab"}}

\only<5->{\code{"aaaaa...........aaaaaaaaaaaaaaaaaaaa"}}

\end{center}

\only<6>{

\begin{textblock}{13}(5,12)

How long does Python need to find out?

\end{textblock}}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}<1>[c]

  \frametitle{Main 3: Regexes}

\begin{center}

  \mbox{Graphs: regex \alert{\texttt{(a*)*b}} and strings $\underbrace{\;\texttt{a}\ldots \texttt{a}\;}_{n}$}\bigskip

  \small  

\begin{tabular}[t]{@{\hspace{-8mm}}c@{\hspace{-0mm}}c@{}}

\only<1>{\raisebox{6mm}{\begin{tikzpicture}

\begin{axis}[

    xlabel={$n$},

    x label style={at={(1.05,0.0)}},

    ylabel={time in secs},

    enlargelimits=false,

    xtick={0,5,...,30},

    xmax=33,

    ymax=35,

    ytick={0,5,...,30},

    scaled ticks=false,

    axis lines=left,

    width=5.5cm,

    height=5cm,

    legend entries={Java 8,Python,JavaScript,Swift,Dart},

    %legend entries={\small{}Python,  \small{}Java 8,  \small{}JavaScript},  

    legend pos=north west,

    legend cell align=left]

\addplot[blue,mark=*, mark options={fill=white}] table {re-python2.data};  

\addplot[cyan,mark=*, mark options={fill=white}] table {re-java.data};

\addplot[red,mark=*, mark options={fill=white}] table {re-js.data};

\addplot[magenta,mark=*, mark options={fill=white}] table {re-swift.data};

\addplot[brown,mark=*, mark options={fill=white}] table {re-dart.data};

\end{axis}

\end{tikzpicture}}}%

\only<2>{\raisebox{0mm}{\begin{tikzpicture}

\begin{axis}[

    xlabel={$n$},

    x label style={at={(1.05,0.0)}},

    ylabel={time in secs},

    %y label style={at={(0.06,0.5)}},

    enlargelimits=false,

    %xtick={0,30000,...,60000},

    xmax=65000,

    ymax=35,

    ytick={0,5,...,30},

    scaled ticks=true,

    axis lines=left,

    width=5.5cm,

    height=5cm, 

    legend entries={\small{}Java 9},  

    legend pos=north west]

\addplot[cyan,mark=*, mark options={fill=white}] table {re-java9.data};