slides/slides05.tex
changeset 418 fa7f7144f2bb
parent 383 c02929f2647c
child 454 289b85843ffd
--- a/slides/slides05.tex	Tue Dec 07 01:35:00 2021 +0000
+++ b/slides/slides05.tex	Tue Dec 07 23:17:51 2021 +0000
@@ -8,6 +8,129 @@
 \usetikzlibrary{shapes,arrows,shadows}
 
 
+% Swift, example (a*)*b  
+\begin{filecontents}{re-swift.data}
+5   0.001
+10  0.001
+15  0.009
+20  0.178
+23  1.399
+24  2.893
+25  5.671
+26  11.357
+27  22.430
+\end{filecontents}
+
+% Dart, example (a*)*b  
+\begin{filecontents}{re-dart.data}
+20 0.042
+21 0.084
+22 0.190
+23 0.340
+24 0.678
+25 1.369
+26 2.700
+27 5.462
+28 10.908
+29 21.725
+30 43.492
+\end{filecontents}
+
+
+\begin{filecontents}{re3a.data}
+1 0.00003
+500001 0.22527
+1000001 0.62752
+1500001 0.88485
+2000001 1.39815
+2500001 1.68619
+3000001 1.94957
+3500001 2.15878
+4000001 2.59918
+4500001 5.90679
+5000001 13.11295
+5500001 19.15376
+6000001 40.16373
+\end{filecontents}
+\begin{filecontents}{re-python2.data}
+1 0.033
+5 0.036
+10 0.034
+15 0.036
+18 0.059
+19 0.084
+20 0.141
+21 0.248
+22 0.485
+23 0.878
+24 1.71
+25 3.40
+26 7.08
+27 14.12
+28 26.69
+\end{filecontents}
+
+\begin{filecontents}{re-js.data}
+5   0.061
+10  0.061
+15  0.061
+20  0.070
+23  0.131
+25  0.308
+26  0.564
+28  1.994
+30  7.648
+31  15.881 
+32  32.190
+\end{filecontents}
+
+\begin{filecontents}{re-java.data}
+5  0.00298
+10  0.00418
+15  0.00996
+16  0.01710
+17  0.03492
+18  0.03303
+19  0.05084
+20  0.10177
+21  0.19960
+22  0.41159
+23  0.82234
+24  1.70251
+25  3.36112
+26  6.63998
+27  13.35120
+28  29.81185
+\end{filecontents}
+
+\begin{filecontents}{re-java9.data}
+1000  0.01410
+2000  0.04882
+3000  0.10609
+4000  0.17456
+5000  0.27530
+6000  0.41116
+7000  0.53741
+8000  0.70261
+9000  0.93981
+10000 0.97419
+11000 1.28697
+12000 1.51387
+14000 2.07079
+16000 2.69846
+20000 4.41823
+24000 6.46077
+26000 7.64373
+30000 9.99446
+34000 12.966885
+38000 16.281621
+42000 19.180228
+46000 21.984721
+50000 26.950203
+60000 43.0327746
+\end{filecontents}
+
+
 \hfuzz=220pt 
 
 %\setmonofont[Scale=.88]{Consolas}
@@ -38,16 +161,100 @@
   \begin{tabular}{ll}
     Email:  & christian.urban at kcl.ac.uk\\
     %Office: & N\liningnums{7.07} (North Wing, Bush House)\bigskip\\
-    Slides \& Code: & KEATS\\
+    Slides \& Code: & KEATS\bigskip\\
     %                & \onslide<2>{\alert{PDF: A Crash-Course in Scala}}\bigskip\\
     %Office Hours: &  Thursdays 12:00 -- 14:00\\
-    %Additionally: & (for Scala) Tuesdays 10:45 -- 11:45\\ 
+    %Additionally: & (for Scala) Tuesdays 10:45 -- 11:45\\
+    \multicolumn{2}{c}{\Large\textbf{https://pollev.com/cfltutoratki576}}\\[2cm]
   \end{tabular}
   \end{center}
 
 \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};
+\end{axis}
+\end{tikzpicture}}}
+  &
+\onslide<1-2>{\begin{tikzpicture}
+  \begin{axis}[
+    xlabel={$n$},
+    x label style={at={(1.05,0.0)}},
+    ylabel={time in secs},
+    enlargelimits=false,
+    ymax=35,
+    ytick={0,5,...,30},
+    axis lines=left,
+    legend entries={You in M3}, 
+    %%scaled ticks=false,
+    width=5.5cm, 
+    height=5cm]
+%%\addplot[green,mark=square*,mark options={fill=white}] table {re2a.data};    
+\addplot[magenta,mark=square*,mark options={fill=white}] table {re3a.data};
+\end{axis}
+\end{tikzpicture}}
+\end{tabular}
+\end{center}
+
+\hfill\small\url{https://vimeo.com/112065252}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 
 %\begin{frame}[c]
@@ -241,151 +448,6 @@
 \end{frame}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
 
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\tikzstyle{sensor}=[draw, fill=blue!20, text width=3.8em, line width=1mm,
-    text centered, minimum height=2em,drop shadow]
-\tikzstyle{ann} = [above, text width=4em, text centered]
-\tikzstyle{sc} = [sensor, text width=7em, fill=red!20, 
-    minimum height=6em, rounded corners, drop shadow,line width=1mm]
-
-\begin{frame}[fragile,c]
-\frametitle{Compilers 6CCS3CFL}
-
-\begin{tikzpicture}
-    % Validation Layer is the same except that there are a set of nodes and links which are added
-   
-    \path (0,0) node (IR) [sc] {\textbf{WHILE Language}\\ compiler};
-    \path (IR.west)+(-2.2,1.7) node (sou1) [sensor] {Fact};
-    \path (IR.west)+(-2.2,0.5) node (sou2)[sensor] {Fib};
-    \path (IR.west)+(-2.2,-0.7) node (sou4)[sensor] {Primes}; 
-    \only<2>{\path (IR.west)+(-2.2,-1.9) node (sou3)[sensor] {BrainF**k};}    
-
-    \path [draw,->,line width=1mm] (sou1.east) -- node [above] {} (IR.160);
-    \path [draw,->,line width=1mm] (sou2.east) -- node [above] {} (IR.180);
-    \only<2>{\path [draw,->,line width=1mm] (sou3.east) -- node [above] {} (IR.200);}
-    \path [draw,->,line width=1mm] (sou4.east) -- node [above] {} (IR.190);
-
-    \path (IR.east)+(2.2, 0.8) node (tar2)[sensor] {JVM};
-    \path (IR.east)+(2.2,-0.8) node (tar3)[sensor] {LLVM{\small(x86)}}; 
-
-    \path [draw,<-,line width=1mm] (tar2.west) -- node [above] {} (IR.5);
-    \path [draw,<-,line width=1mm] (tar3.west) -- node [above] {} (IR.-5);
-
-    
-\end{tikzpicture}
-\end{frame}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \begin{frame}[c]
-  \frametitle{Dijkstra on Testing}
-  
-  \begin{bubble}[10cm]
-  ``Program testing can be a very effective way to show the
-  presence of bugs, but it is hopelessly inadequate for showing
-  their absence.''
-  \end{bubble}\bigskip
-  
-  
-  \end{frame}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\begin{frame}[c]
-\frametitle{\Large Proving Programs to be Correct}
-
-\begin{bubble}[10cm]
-\small
-{\bf Theorem:} There are infinitely many prime 
-numbers.\medskip\\
-
-{\bf Proof} \ldots\\
-\end{bubble}\bigskip
-
-
-similarly\bigskip
-
-\begin{bubble}[10cm]
-\small
-{\bf Theorem:} The program is doing what 
-it is supposed to be doing.\medskip
-
-{\bf Long, long proof} \ldots\\
-\end{bubble}\bigskip\medskip
-
-\small This can be a gigantic proof. The only hope is to have
-help from the computer. `Program' is here to be understood to be
-quite general (compiler, OS, \ldots).
-
-\end{frame}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-
-\begin{frame}[c]
-\frametitle{Can This Be Done?}
-
-\begin{itemize}
-\item in 2011, verification of a small C-compiler (CompCert)
-\begin{itemize}
-\item ``if my input program has a certain behaviour, then the compiled machine code has the same behaviour''
-\item is as good as \texttt{gcc -O1}, but much, much less buggy 
-\end{itemize}
-\end{itemize}
-
-\begin{center}
-  \includegraphics[scale=0.12]{../pics/compcert.png}
-\end{center}
-
-\end{frame}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-%% ~2,237,800 lines of proof in 474
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-\begin{frame}[c]
-\frametitle{Fuzzy Testing C-Compilers}
-
-\begin{itemize}
-\item tested GCC, LLVM and others by randomly generating 
-C-programs
-\item found more than 300 bugs in GCC and also
-many in LLVM (some of them highest-level critical)\bigskip
-\item about CompCert:
-
-\begin{bubble}[10cm]\small ``The striking thing about our CompCert
-results is that the middle-end bugs we found in all other
-compilers are absent. As of early 2011, the under-development
-version of CompCert is the only compiler we have tested for
-which Csmith cannot find wrong-code errors. This is not for
-lack of trying: we have devoted about six CPU-years to the
-task.'' 
-\end{bubble} 
-\end{itemize}
-
-\end{frame}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\begin{frame}[c]
-\frametitle{seL4 / Isabelle}
-
-\begin{itemize}
-\item verified a microkernel operating system ($\approx$8000 lines of C code)\bigskip
-\item US DoD has competitions to hack into drones; they found that the
-  isolation guarantees of seL4 hold up\bigskip
-\item CompCert and seL4 sell their code  
-\end{itemize}
-
-\only<2>{
-\begin{textblock}{5}(5.5,1.9)
-  \includegraphics[scale=0.25]{../pics/drone.jpg}
-\end{textblock}}
-
-\end{frame}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 
@@ -393,8 +455,7 @@
 \frametitle{Where to go on from here?}
 
 \begin{itemize}
-\item Martin Odersky (EPFL)\ldots he is currently throwing out everything
-  and starts again with the dotty compiler for Scala 3.0\medskip
+\item Martin Odersky (EPFL) developed Scala 3.0\medskip
 
 \item Elm (\url{http://elm-lang.org})\ldots web applications with style\medskip   
 
@@ -463,26 +524,6 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- 
-
-
-\begin{frame}[t]
-
-  \begin{center}  
-  \includegraphics[scale=0.4]{../pics/mind2.jpg}
-  \end{center}
-  
-  \begin{textblock}{14}(2,11.4)
-  \large\bf{}Mind-Blowing Programming Languages:\\ 
-  \centering Scala\;\;?
-  \end{textblock}
-\end{frame}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-
-\end{document}
-
 
 \end{document}