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% !TEX program = xelatex
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\documentclass[dvipsnames,14pt,t,xelatex,aspectratio=169,xcolor={table}]{beamer}
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%\usepackage{chessboard}
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%\usepackage[LSBC4,T1]{fontenc}
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\usepackage{../styles/slides}
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\usepackage{../styles/mygraphs}
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\usepackage{../styles/langs}
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\usetikzlibrary{shapes}
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% \usepackage{../data}
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\hfuzz=220pt
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%\setmonofont[Scale=.88]{Consolas}
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%\newfontfamily{\consolas}{Consolas}
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\lstset{language=Scala,
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style=mystyle,
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numbersep=0pt,
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numbers=none,
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xleftmargin=0mm}
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\newcommand{\bl}[1]{\textcolor{blue}{#1}}
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% beamer stuff
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\renewcommand{\slidecaption}{PEP (Scala) 02, King's College London}
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\newcommand{\UParrow}[3]{%
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\begin{textblock}{0}(#2,#3)%
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\onslide<#1>{%
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\begin{tikzpicture}%
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\node at (0,0) [single arrow, shape border rotate=90, fill=red,text=red]{a};%
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\end{tikzpicture}}%
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\end{textblock}}
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\begin{document}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{%
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\begin{tabular}{@ {}c@ {}}
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\\[5mm]
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\hspace{7mm}\huge PEP Scala (\liningnums{2})
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\end{tabular}}
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\normalsize
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\begin{center}
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\begin{tabular}{ll}
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Email: & christian.urban at kcl.ac.uk\\
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%Office: & N\liningnums{7.07} (North Wing, Bush House)\bigskip\\
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Slides \& Code: & KEATS\bigskip\\
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Office Hour: & Thursdays 13:00 -- 14:00\\
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Location: & N7.07 (North Wing, Bush House)\bigskip\\
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Pollev: & \texttt{\alert{https://pollev.com/cfltutoratki576}}\\ \\
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%Additionally: & (for Scala) Tuesdays 10:45 -- 11:45\\
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\end{tabular}
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\end{center}
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%\tiny
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%developed since 2004 bv Martin Odersky
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%picture about assignments
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\begin{textblock}{6}(0.5,0.5)
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\includegraphics[scale=0.035]{../pics/assign.jpg}\\[-1mm]
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\begin{frame}[c, fragile]
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\frametitle{Scala 3}
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\mbox{}\\
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\begin{minipage}{1.3\textwidth}
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\begin{center}
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\textbf{\texttt{scala}}
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$\quad\Rightarrow$ {\small\url{https://www.scala-lang.org/download/}}\bigskip
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\end{center}
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Installation problems:
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\begin{itemize}
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\item Flavio Melinte Citea (\texttt{\small{}flavio.melinte\_citea@kcl.ac.uk})
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\item Zishan Rahman (\texttt{\small{}zishan.rahman@kcl.ac.uk})
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\item Opale Sjostedt (\texttt{\small{}opale.sjostedt@kcl.ac.uk})
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\item Oliver Iliffe (\texttt{\small{}oliver.iliffe@kcl.ac.uk})
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\bigskip
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\end{itemize}
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Github problems:
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\begin{itemize}
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\item Zishan Rahman (\texttt{\small{}zishan.rahman@kcl.ac.uk})
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\end{itemize}
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%Discussion forum:
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%\begin{itemize}
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%\item Ruben Ticehurst-James (\texttt{\small{}ruben.ticehurst-james@kcl.ac.uk})
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%\end{itemize}
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\end{minipage}
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\begin{frame}[c, fragile]
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%%\frametitle{General Scheme of}
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\small
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\begin{lstlisting}[language=Scala,numbers=none]
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def fname(arg1: ty1, arg2: ty2,..., argn: tyn): rty = {
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....
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}
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\end{lstlisting}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c, fragile]
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\begin{lstlisting}[language=Scala,numbers=none]
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def average(xs: List[Int]) : Int = {
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val s = xs.sum
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val n = xs.length
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s / n
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}
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\end{lstlisting}
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\end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \begin{frame}[t,fragile]
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% \frametitle{For-Comprehensions}
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% %\small
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% \begin{lstlisting}[language=Scala,numbers=none]
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% for (n <- List(1, 2, 3, 4, 5)) yield n * n
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% \end{lstlisting}
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% \begin{textblock}{5}(2,6)
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% \includegraphics[scale=0.3]{../pics/fun.png}
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% \end{textblock}
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% \begin{textblock}{5}(9,6)
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% \includegraphics[scale=0.3]{../pics/fun.png}
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% \end{textblock}
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% \end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{For-Comprehensions}
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\begin{center}
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\begin{tikzpicture}[scale=1,
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node/.style={
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rectangle,rounded corners=3mm,
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very thick,draw=black!50,
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minimum height=18mm, minimum width=20mm,
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top color=white,bottom color=black!20}]
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\node (A0) at (0.1,0) {\texttt{\textcolor{purple}{\textbf{for}} (\alert<2->{n} <- List(}};
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\node (A1) at (2.3,0) {\texttt{\phantom{,}1,}};
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\node (A2) at (3.2,0) {\texttt{\phantom{,}2,}};
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\node (A3) at (4.1,0) {\texttt{\phantom{,}3,}};
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\node (A4) at (5.0,0) {\texttt{\phantom{,}4,}};
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\node (A5) at (5.9,0) {\texttt{\phantom{))}5))}};
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\node (A6) at (8,0) {\texttt{\textcolor{purple}{\textbf{yield}} \alert<2->{n\,*\,n}}};
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\onslide<2->{
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\node (B0) at (1.4,-3) {\texttt{List(}};
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\node (B1) at (2.3,-3) {\texttt{\phantom{,}1,}};
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\node (B2) at (3.6,-3) {\texttt{\phantom{,}4,}};
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\node (B3) at (4.9,-3) {\texttt{\phantom{,}9,}};
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\node (B4) at (6.2,-3) {\texttt{\phantom{,}16,}};
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\node (B5) at (7.5,-3) {\texttt{\phantom{,}25)}};}
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\onslide<2->{
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\draw [->,line width=1mm] (A1.south) -- (B1.north);
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\draw [->,line width=1mm] (A2.south) -- (B2.north);
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\draw [->,line width=1mm] (A3.south) -- (B3.north);
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\draw [->,line width=1mm] (A4.south) -- (B4.north);
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\draw [->,line width=1mm] (A5.south) -- (B5.north);}
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\onslide<2->{
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\node (Q1) at (-0.45,-0.1) {};
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\node (Q2) at (-0.45,-2.8) {};
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\node (Q3) at (-0.45,-2.95) {\alert<2->{\texttt{n\,*\,n:}}};
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\draw [->,red,line width=1mm] (Q1.south) -- (Q2.north);}
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\end{tikzpicture}
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\end{center}
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\onslide<3>{This is for when the for-comprehension\\ \textbf{yields / produces} a result.}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \begin{frame}[t]
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% \frametitle{For-Comprehensions Again}
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% \begin{center}
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% \begin{tikzpicture}[scale=1,
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% node/.style={
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% rectangle,rounded corners=3mm,
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% very thick,draw=black!50,
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% minimum height=18mm, minimum width=20mm,
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% top color=white,bottom color=black!20}]
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% \node (A0) at (0,0)
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% {\texttt{\textcolor{purple}{\textbf{for}} (n <- List(1, 2, 3, 4, 5))
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% \textcolor{purple}{\textbf{yield}} n\,*\,n}};
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% \node (A1) at (0,-1.5) {\LARGE\textbf{vs}};
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% \node (A2) at (0,-3)
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% {\texttt{\textcolor{purple}{\textbf{for}} (n <- List(1, 2, 3, 4, 5)) println(n)}};
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% \end{tikzpicture}
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% \end{center}\bigskip
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% The second version is in case the for \textbf{does not}
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% produce any result.
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% \end{frame}
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% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c,fragile]
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%\frametitle{Option Type}
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Find something below 4 in a list. What do you think Scala answers?\bigskip\bigskip
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\begin{onlyenv}<1>
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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List(7,2,3,4,5,6).find(_ < 4)
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List(5,6,7,8,9).find(_ < 4)
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\end{lstlisting}
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\end{onlyenv}
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\begin{onlyenv}<2>
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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List(7,2,3,4,5,6).find(_ < 4)
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res: Option[Int] = Some(2)
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List(5,6,7,8,9).find(_ < 4)
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res: Option[Int] = None
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\end{lstlisting}
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\end{onlyenv}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c]
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\frametitle{Option Type}
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\begin{itemize}
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\item if the value is present, you use\bigskip
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\begin{center}\pcode{Some(value)}\end{center}\bigskip\bigskip
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\item if no value is present, you use\bigskip
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\begin{center}\pcode{None}\end{center}\bigskip\bigskip
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\end{itemize}
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\small e.g.~\code{Option[Int]}, then \code{Some(42)} and \code{None}\\
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good for error handling
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c,fragile]
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\frametitle{Option Type}
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\small
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\begin{onlyenv}<1>
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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Integer.parseInt("1234")
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// vs.
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def get_me_an_int(s: String) : Option[Int] =
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Try(Some(Integer.parseInt(s))).getOrElse(None)
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\end{lstlisting}
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\end{onlyenv}\bigskip\bigskip\bigskip
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in the Scala code it is clear from the type I that have to deal
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with the \pcode{None}-case; no JavaDoc needed
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\end{frame}
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\begin{frame}[c,fragile]
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\frametitle{Higher-Order Functions}
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In Scala, functions can take other functions as arguments and can return
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a function as a result.\bigskip\bigskip
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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List(7,2,3,4,5,6).find(_ < 4)
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\end{lstlisting}
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\UParrow{1}{8}{11}
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\begin{frame}[c,fragile]
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\frametitle{Higher-Order Functions (2)}
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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def even(x: Int) : Boolean = x % 2 == 0
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List(1, 2, 3, 4, 5).filter(even)
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res : List[Int] = List(2, 4)
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List(1, 2, 3, 4, 5).count(even)
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res : Int = 2
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List(1, 2, 3, 4, 5).find(even)
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res: Option[Int] = Some(2)
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\end{lstlisting}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c,fragile]
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\frametitle{Anonymous Functions}
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340 |
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341 |
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342 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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def less4(x: Int) = x < 4
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344 |
\end{lstlisting}
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345 |
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346 |
\begin{center}
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347 |
vs
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348 |
\end{center}
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349 |
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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(x: Int) => x < 4
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352 |
\end{lstlisting}
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353 |
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\end{frame}
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318
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357 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[c,fragile]
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\frametitle{map (lower case)}
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360 |
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361 |
applies a function to each element of a list (and more)
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362 |
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363 |
\begin{center}
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364 |
\begin{tikzpicture}[scale=0.9]
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365 |
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366 |
\node (A0) at (1.2,0) {\texttt{List(\,}};
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367 |
\node (A1) at (2.0,0) {\texttt{1\makebox[0mm]{ ,}}};
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368 |
\node (A2) at (2.9,0) {\texttt{2\makebox[0mm]{ ,}}};
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\node (A3) at (3.8,0) {\texttt{3\makebox[0mm]{ ,}}};
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370 |
\node (A4) at (4.7,0) {\texttt{4\makebox[0mm]{ ,}}};
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371 |
\node (A5) at (5.6,0) {\texttt{5\makebox[0mm]{ ,}}};
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\node (A6) at (6.5,0) {\texttt{6\makebox[0mm]{ ,}}};
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\node (A7) at (7.4,0) {\texttt{7\makebox[0mm]{ ,}}};
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374 |
\node (A8) at (8.3,0) {\texttt{8)}};
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375 |
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376 |
\node (B0) at (1.2,-3) {\texttt{List(\,}};
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377 |
\node (B1) at (2.0,-3) {\texttt{1\makebox[0mm]{ ,}}};
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\node (B2) at (3.0,-3) {\texttt{4\makebox[0mm]{ ,}}};
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379 |
\node (B3) at (4.1,-3) {\texttt{9\makebox[0mm]{ ,}}};
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380 |
\node (B4) at (5.2,-3) {\texttt{16\makebox[0mm]{ ,}}};
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\node (B5) at (6.3,-3) {\texttt{25\makebox[0mm]{ ,}}};
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382 |
\node (B6) at (7.4,-3) {\texttt{36\makebox[0mm]{ ,}}};
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383 |
\node (B7) at (8.4,-3) {\texttt{49\makebox[0mm]{ ,}}};
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\node (B8) at (9.4,-3) {\texttt{64\makebox[0mm]{ )}}};
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385 |
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\draw [->,line width=1mm] (A1.south) -- (B1.north);
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\draw [->,line width=1mm] (A2.south) -- (B2.north);
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\draw [->,line width=1mm] (A3.south) -- (B3.north);
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\draw [->,line width=1mm] (A4.south) -- (B4.north);
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\draw [->,line width=1mm] (A5.south) -- (B5.north);
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391 |
\draw [->,line width=1mm] (A6.south) -- (B6.north);
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\draw [->,line width=1mm] (A7.south) -- (B7.north);
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393 |
\draw [->,line width=1mm] (A8.south) -- (B8.north);
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394 |
|
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395 |
\node [red] (Q0) at (-0.5,-0.3) {\large\texttt{n}};
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396 |
\node (Q1) at (-0.5,-0.4) {};
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397 |
\node (Q2) at (-0.5,-2.5) {};
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|
398 |
\node [red] (Q3) at (-0.5,-2.65) {\large\texttt{n\,*\,n}};
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|
399 |
\draw [->,red,line width=1mm] (Q1.south) -- (Q2.north);
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400 |
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|
401 |
\node [red] at (-1.5,-1.5) {\Large{}\it\textbf{map}};
|
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|
402 |
\end{tikzpicture}
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|
403 |
\end{center}\bigskip
|
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|
404 |
|
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|
405 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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|
406 |
List(1,2,3,4,5,6,7,8).map(n => n * n)
|
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|
407 |
\end{lstlisting}
|
|
|
408 |
\end{frame}
|
|
|
409 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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317
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410 |
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318
|
411 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
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|
412 |
\begin{frame}[c,fragile]
|
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|
413 |
\frametitle{For-Comprehensions are maps}
|
|
|
414 |
|
|
|
415 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
|
|
|
416 |
for (n <- List(1,2,3,4,5,6,7,8))
|
|
|
417 |
yield n * n
|
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|
418 |
|
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|
419 |
|
|
|
420 |
// is just syntactic sugar for
|
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|
421 |
|
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|
422 |
|
|
|
423 |
List(1,2,3,4,5,6,7,8).map(n => n * n)
|
|
|
424 |
\end{lstlisting}
|
|
|
425 |
|
|
|
426 |
\end{frame}
|
|
|
427 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
428 |
|
|
|
429 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
430 |
\begin{frame}[c,fragile]
|
|
|
431 |
\frametitle{Map (upper case)}
|
|
|
432 |
|
|
|
433 |
a type, representing a key-value association datastructure\bigskip\bigskip
|
|
|
434 |
|
|
|
435 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
|
|
|
436 |
val ascii =
|
|
|
437 |
('a' to 'z').map(c => (c, c.toInt))
|
|
|
438 |
|
|
|
439 |
val ascii_Map = ascii.toMap
|
|
|
440 |
|
|
|
441 |
ascii_Map.get('a') // -> 97
|
|
|
442 |
\end{lstlisting}
|
|
|
443 |
\end{frame}
|
|
|
444 |
|
|
|
445 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
446 |
\begin{frame}[c,fragile]
|
|
319
|
447 |
\frametitle{Pattern Matching}
|
|
|
448 |
|
|
|
449 |
\ldots on pairs:\bigskip
|
|
318
|
450 |
|
|
319
|
451 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
|
|
|
452 |
def fizz_buzz(n: Int) : String =
|
|
|
453 |
(n % 3, n % 5) match {
|
|
|
454 |
case (0, 0) => "fizz buzz"
|
|
|
455 |
case (0, _) => "fizz"
|
|
|
456 |
case (_, 0) => "buzz"
|
|
|
457 |
case _ => n.toString
|
|
|
458 |
}
|
|
|
459 |
\end{lstlisting}
|
|
|
460 |
\end{frame}
|
|
318
|
461 |
|
|
319
|
462 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
463 |
\begin{frame}[c,fragile]
|
|
|
464 |
\frametitle{Recursion}
|
|
318
|
465 |
|
|
|
466 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
|
|
|
467 |
def fib(n: Int) : Int = {
|
|
|
468 |
if (n == 0 || n == 1) 1
|
|
|
469 |
else fib(n - 1) + fib(n - 2)
|
|
|
470 |
}
|
|
|
471 |
\end{lstlisting}
|
|
|
472 |
\end{frame}
|
|
|
473 |
|
|
|
474 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
475 |
\begin{frame}[c,fragile]
|
|
|
476 |
\frametitle{Recursion}
|
|
|
477 |
|
|
|
478 |
\small
|
|
|
479 |
\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-4mm]
|
|
|
480 |
def my_flatten(xs: List[Option[Int]]): List[Int] =
|
|
|
481 |
xs match {
|
|
|
482 |
case Nil => Nil
|
|
|
483 |
case None :: rest => my_flatten(rest)
|
|
|
484 |
case Some(v) :: rest => v :: my_flatten(rest)
|
|
|
485 |
}
|
|
|
486 |
\end{lstlisting}
|
|
|
487 |
\end{frame}
|
|
|
488 |
|
|
|
489 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
317
|
490 |
|
|
148
|
491 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
316
|
492 |
\begin{frame}[c]
|
|
|
493 |
\frametitle{\begin{tabular}{c}\\[0cm]\alert{Questions?}\end{tabular}}
|
|
66
|
494 |
|
|
148
|
495 |
\begin{center}
|
|
316
|
496 |
\begin{tabular}[t]{@{}l@{}l@{}}
|
|
|
497 |
\includegraphics[scale=0.1]{../pics/mand4.png} & \hspace{4mm}
|
|
|
498 |
\raisebox{0mm}{\includegraphics[scale=0.1]{../pics/mand3.png}}
|
|
|
499 |
\end{tabular}
|
|
|
500 |
\end{center}
|
|
|
501 |
|
|
|
502 |
\begin{center}
|
|
|
503 |
My Office Hours: Thursdays 12 -- 14\\
|
|
|
504 |
And specifically for Scala: Tuesdays 10:45 -- 11:45
|
|
148
|
505 |
\end{center}
|
|
66
|
506 |
\end{frame}
|
|
|
507 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
508 |
|
|
|
509 |
|
|
318
|
510 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
365
|
511 |
% \begin{frame}[t]
|
|
318
|
512 |
|
|
365
|
513 |
% \begin{center}
|
|
|
514 |
% \includegraphics[scale=0.3]{../pics/blow.png}
|
|
|
515 |
% \end{center}
|
|
318
|
516 |
|
|
365
|
517 |
% \begin{textblock}{14}(2,11.4)
|
|
|
518 |
% \large\bf{}Mind-Blowing Programming Languages:\\
|
|
|
519 |
% Overloading in any language is great but it makes a difference\; \code{10/3}
|
|
|
520 |
% \;or\; \code{10.0/3}
|
|
|
521 |
% \end{textblock}
|
|
|
522 |
% \end{frame}
|
|
318
|
523 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
524 |
|
|
365
|
525 |
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
526 |
% \begin{frame}[t]
|
|
318
|
527 |
|
|
365
|
528 |
% \begin{center}
|
|
|
529 |
% \includegraphics[scale=0.3]{../pics/blow.png}
|
|
|
530 |
% \end{center}
|
|
318
|
531 |
|
|
365
|
532 |
% \begin{textblock}{14}(2,11.4)
|
|
|
533 |
% \large\bf{}Mind-Blowing Programming Languages:\\
|
|
|
534 |
% \centering PHP \textcolor{gray}{(7.0)}
|
|
|
535 |
% \end{textblock}
|
|
|
536 |
% \end{frame}
|
|
|
537 |
% %%%
|
|
|
538 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
318
|
539 |
|
|
319
|
540 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
541 |
|
|
|
542 |
\begin{frame}[c]
|
|
|
543 |
\frametitle{Jumping Towers}
|
|
|
544 |
|
|
|
545 |
\begin{center}
|
|
|
546 |
\begin{tikzpicture}[scale=1.2]
|
|
|
547 |
\draw[line width=1mm,cap=round] (0,0) -- (5,0);
|
|
|
548 |
\draw[line width=1mm,cap=round] (0,1) -- (5,1);
|
|
|
549 |
|
|
|
550 |
\draw[line width=1mm,cap=round] (0,0) -- (0,1);
|
|
|
551 |
\node at (0.5,0.5) {\textbf{\Large 3}};
|
|
|
552 |
|
|
|
553 |
\draw[line width=1mm,cap=round] (1,0) -- (1,1);
|
|
|
554 |
\node at (1.5,0.5) {\textbf{\Large 4}};
|
|
|
555 |
|
|
|
556 |
\draw[line width=1mm,cap=round] (2,0) -- (2,1);
|
|
|
557 |
\node at (2.5,0.5) {\textbf{\Large 2}};
|
|
|
558 |
|
|
|
559 |
\draw[line width=1mm,cap=round] (3,0) -- (3,1);
|
|
|
560 |
\node at (3.5,0.5) {\textbf{\Large 0}};
|
|
|
561 |
|
|
|
562 |
\draw[line width=1mm,cap=round] (4,0) -- (4,1);
|
|
|
563 |
|
|
|
564 |
\node at (4.5,0.5) {\textbf{\Large 1}};
|
|
|
565 |
|
|
|
566 |
\draw[line width=1mm,cap=round] (5,0) -- (5,1);
|
|
|
567 |
|
|
|
568 |
\draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (1.5,1);
|
|
|
569 |
\draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (2.5,1);
|
|
|
570 |
\draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (3.5,1);
|
|
|
571 |
|
|
|
572 |
\draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (3.5,0);
|
|
|
573 |
\draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (4.5,0);
|
|
|
574 |
|
|
|
575 |
\draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (4.5,1) to (5.7,1);
|
|
|
576 |
\node at (5.7, 0.8) {End};
|
|
|
577 |
\end{tikzpicture}
|
|
|
578 |
\end{center}\bigskip
|
|
|
579 |
|
|
|
580 |
|
|
|
581 |
shortest: 3 $\rightarrow$ 4 $\rightarrow$ End
|
|
|
582 |
|
|
|
583 |
\end{frame}
|
|
|
584 |
|
|
|
585 |
|
|
|
586 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
587 |
|
|
|
588 |
|
|
|
589 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
590 |
|
|
|
591 |
\begin{frame}[c]
|
|
|
592 |
\frametitle{``Children'' / moves}
|
|
|
593 |
|
|
|
594 |
\begin{center}
|
|
|
595 |
\begin{tikzpicture}
|
|
|
596 |
[grow=right,level distance=30mm,child anchor=north,line width=0.5mm]
|
|
|
597 |
\node {$[3,4,2,0,1]$}
|
|
|
598 |
child {node {$[0,1]$}}
|
|
|
599 |
child {node {$[2,0,1]$}
|
|
|
600 |
child {node {$[1]$} child [level distance=13mm] {node {End}}}
|
|
|
601 |
child {node {$[0,1]$}}
|
|
|
602 |
}
|
|
|
603 |
child {node {$[4,2,0,1]$\ldots}};
|
|
|
604 |
\end{tikzpicture}
|
|
|
605 |
\end{center}
|
|
363
|
606 |
\end{frame}
|
|
319
|
607 |
|
|
363
|
608 |
\begin{frame}<1-10>[t]
|
|
|
609 |
|
|
|
610 |
\end{frame}
|
|
319
|
611 |
|
|
446
|
612 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
613 |
\begin{frame}[t,fragile]
|
|
|
614 |
\frametitle{\mbox{}\hspace{40mm}\textbf{???}}
|
|
|
615 |
|
|
|
616 |
\begin{textblock}{5}(2,6)
|
|
|
617 |
\includegraphics[scale=0.35]{../pics/commits.png}
|
|
|
618 |
\end{textblock}
|
|
|
619 |
|
|
|
620 |
\end{frame}
|
|
319
|
621 |
|
|
|
622 |
|
|
|
623 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
318
|
624 |
|
|
66
|
625 |
\end{document}
|
|
|
626 |
|
|
|
627 |
%%% Local Variables:
|
|
|
628 |
%%% mode: latex
|
|
|
629 |
%%% TeX-master: t
|
|
|
630 |
%%% End:
|
|
|
631 |
|