From 20fe3b5eb31b33efda048fd5d9ede6b7c9428e6f Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Mon, 6 Oct 2014 17:50:27 +0200 Subject: [PATCH 01/13] work work --- programming/lectures/images/arrayIndexing.pdf | 1939 +++++ programming/lectures/images/bucket.png | Bin 0 -> 11473 bytes programming/lectures/images/matrices.pdf | 7651 +++++++++++++++++ .../lectures/images/matrixIndexing.pdf | 6870 +++++++++++++++ .../lectures/images/matrixLinearIndexing.pdf | 5179 +++++++++++ programming/lectures/images/scalarArray.pdf | 2797 ++++++ programming/lectures/images/ski_wueste.jpg | Bin 0 -> 99983 bytes programming/lectures/images/variable.pdf | 2190 +++++ programming/lectures/images/variableB.pdf | 2133 +++++ programming/lectures/images/wueste.jpg | Bin 0 -> 162990 bytes programming/lectures/programming_basics.tex | 225 +- 11 files changed, 28976 insertions(+), 8 deletions(-) create mode 100644 programming/lectures/images/arrayIndexing.pdf create mode 100644 programming/lectures/images/bucket.png 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\includegraphics[width=0.8\columnwidth]{./images/variableB.pdf} + \end{figure} + } +\end{frame} +\begin{frame}[fragile] + \frametitle{Variablen} + \framesubtitle{Erzeugen von Variablen und Wertezuweisung} + \scriptsize + \begin{lstlisting}[label=varListing1] + >> y = [] + y = + [] + >> + >> x = 38 + x = + 38 + >> + \end{lstlisting} +\normalsize \end{frame} +%\subsection{Calculations with variables} +\begin{frame}[fragile] + \frametitle{Variablen} + \framesubtitle{Rechnen mit Variablen} + \tiny + \begin{lstlisting}[label=varListing2] + >> x = 1; + >> x + 10 + ans = + 11 + >> + >> x % x wurde nicht veraendert + ans = + 1 + >> + >> y = 2; + >> + >> x + y + ans = + 3 + >> + >> z = x + y + z = + 3 + >> + >> z = z * 5; + >> z + z = + 15 + \end{lstlisting} +\end{frame} + +%\subsection{\"Ubungen} +\begin{frame}[fragile] + \frametitle{Variablen} + \framesubtitle{\"Ubungen} + \vspace{-0.25cm} + \begin{enumerate} + \item Erzeuge zwei Variablen \verb+a, b+ und weise ihnen + unterschiedliche Werte zu. Schlie{\ss}e die Zeilen mit einem + Semikolon ab. + \item Lasse die Werte der Variablen ausgeben. + \item F\"uhre einfache mathematische Operationen aus (Addition, + Subtraktion, etc.) Potenzierung erfolgt \"uber das Dach Symbol + \verb+^+). Stelle fest, ob sich der der urspruengliche Wert der + Variable ge\"andert hat. + \item Benuzte die Kommandozeile um herauszufinden, welche Variablen + es im Workspace gibt. + \item Finde in der Hilfe mehr Information \"uber das \verb+clear+ Kommando. + \item L\"osche eine Variable. + \item L\"osche alle \"ubrigen Variablen. + \item Berechne die Fakult\"at von 5 indem eine Variable \verb+x+ + erzeugt wird und ihr der Wert 1 zugewiesen wird. In einzelenen + Schritten wird x jeweils das Ergebnis des vorherigen Schrittes + zugewiesen. + \end{enumerate} +\end{frame} + +\begin{frame}[plain] + \huge{2. Vektoren und Matrizen} +\end{frame} \begin{frame} -\frametitle{Grundlagen der Programmierung} -\framesubtitle{Variablen} + \frametitle{Vektoren und Matrizen} + \framesubtitle{Skalare vs. Vektoren} + \begin{figure} + \centering + \includegraphics[width=0.8\columnwidth]{./images/scalarArray.pdf} + \end{figure} \end{frame} + +\begin{frame}[fragile] + \frametitle{Vektoren und Matrizen} + \framesubtitle{Erzeugen von Vektoren} + \tiny + \begin{lstlisting}[label=arrayListing1] + >> a = [0 1 2 3 4 5 6 7 8 9] % a brute-force way to define a vector + a = + 0 1 2 3 4 5 6 7 8 9 + >> + >> b = (0:9) % a more convenient way + b = + 0 1 2 3 4 5 6 7 8 9 + >> + >> c = (0:2:10) % define a vector and fill it with number between 0 + % and 10 in steps of 2 + c = + 0 2 4 6 8 10 + \end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Vektoren und Matrizen} + \framesubtitle{Spalten \& Zeilenvektoren} + \tiny + \begin{lstlisting}[label=arrayListing2] + >> a = [1 2 3 4 5 6 7 8 9 10] % create a row vector + a = + 1 2 3 4 5 6 7 8 9 10 + >> + >> b = [1; 2; 3; 4; 5] % a column vector + b = + 1 + 2 + 3 + 4 + 5 + >> + >> b = b' % transpose it to a row vector + b = + 1 2 3 4 5 + >> + \end{lstlisting} +\end{frame} + + + \end{document} From a2d8eb2186b6e9fc910043c27b7870dea3a45c61 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Wed, 8 Oct 2014 08:59:41 +0200 Subject: [PATCH 02/13] Vektoren geschafft.... --- programming/lectures/programming_basics.tex | 155 +++++++++++++++++--- 1 file changed, 133 insertions(+), 22 deletions(-) diff --git a/programming/lectures/programming_basics.tex b/programming/lectures/programming_basics.tex index c27636c..43d81ff 100644 --- a/programming/lectures/programming_basics.tex +++ b/programming/lectures/programming_basics.tex @@ -293,20 +293,19 @@ \begin{frame}[fragile] \frametitle{Vektoren und Matrizen} \framesubtitle{Erzeugen von Vektoren} - \tiny + \footnotesize \begin{lstlisting}[label=arrayListing1] - >> a = [0 1 2 3 4 5 6 7 8 9] % a brute-force way to define a vector - a = - 0 1 2 3 4 5 6 7 8 9 - >> - >> b = (0:9) % a more convenient way - b = - 0 1 2 3 4 5 6 7 8 9 - >> - >> c = (0:2:10) % define a vector and fill it with number between 0 - % and 10 in steps of 2 - c = - 0 2 4 6 8 10 +>> a = [0 1 2 3 4 5 6 7 8 9] % Erstellen eines Zeilenvektors + a = + 0 1 2 3 4 5 6 7 8 9 +>> +>> b = (0:9) % etwas bequemer + b = + 0 1 2 3 4 5 6 7 8 9 +>> +>> c = (0:2:10) + c = + 0 2 4 6 8 10 \end{lstlisting} \end{frame} @@ -315,25 +314,137 @@ \framesubtitle{Spalten \& Zeilenvektoren} \tiny \begin{lstlisting}[label=arrayListing2] - >> a = [1 2 3 4 5 6 7 8 9 10] % create a row vector - a = +>> a = [1 2 3 4 5 6 7 8 9 10] % Erstellen eines Zeilenvektors + a = 1 2 3 4 5 6 7 8 9 10 - >> - >> b = [1; 2; 3; 4; 5] % a column vector - b = +>> +>> b = [1; 2; 3; 4; 5] % Erstellen eines Spaltenvectors + b = 1 2 3 4 5 - >> - >> b = b' % transpose it to a row vector - b = +>> +>> b = b' % Transponieren + b = 1 2 3 4 5 - >> +>> \end{lstlisting} \end{frame} +\begin{frame} + \frametitle{Vektoren} + \framesubtitle{Zugriff auf Inhalte von Vektoren} + \begin{figure} + \centering + \includegraphics[width=0.8\columnwidth]{./images/arrayIndexing.pdf} + \end{figure} + \pause + Der Zugriff auf die Inhalte eines Vektors erfolgt \"uber den Index.\\ + \textbf{Achtung!} Der erste Index ist die 1. +\end{frame} + +\begin{frame}[fragile] + \frametitle{Vektoren} + \framesubtitle{Zugriff auf Inhalte von Vektoren} + \vspace{-0.5cm} +\footnotesize +\begin{lstlisting} +>> a = (11:20); +>> a(1) % das 1. Element + ans = + 11 +>> +>> a(5) % das 5. Element + ans = + 15 +>> +>> a(end) % das letzte Element + ans = + 20 +>> +\end{lstlisting} +\end{frame} +\begin{frame}[fragile] + \frametitle{Vektoren} + \framesubtitle{Zugriff auf Inhalte von Vektoren} + \vspace{-0.5cm} +\footnotesize +\begin{lstlisting} +>> a([1 3 5]) % das 1., 3. und 5. Element + ans = + 11 13 15 +>> +>> a(2:4) % alle element von Index 2 bis 4 + ans = + 12 13 14 +>> +>> a(1:2:end) %retrieve every second element +>> and = +>> 11 13 15 17 19 +>> +\end{lstlisting} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Vektoren} + \framesubtitle{Grundlegende Operationen} + \vspace{-0.25cm} + \footnotesize + \begin{lstlisting}[label=arrayListing4] +>> a = (0:2:8); +>> a + 5 % addiere einen Skalar + ans = + 5 7 9 11 13 +>> +>> a * 2 % Multiplication + ans = + 0 4 8 12 16 +>> +>> a / 2 % Division + ans = + 0 1 2 3 4 +>> +>> a(1:3) + a(2:4) % Addieren von 2 Vektoren + ans = + 2 6 10 +>> +>> a(1:2) + a(2:4) % Addierte Vektoren muessen die gleiche Groesse haben! + ??? Error using ==> plus + Matrix dimensions must agree. + \end{lstlisting} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Vektoren} + \framesubtitle{\"Ubungen} + \begin{enumerate} + \item Erzeuge Vektoren: + \begin{enumerate} + \item Von 1 bis 10 in ganzzahligen Schritten. + \item $2:20$ in 2er Schritten. + \item mit absteigendem Inhalt von 100 bis 0. + \item In 100 Schritten von 0 bis $2\pi$ ($\pi$ ist als Konstante 'pi' + in Matlab definiert). + \end{enumerate} + \item Erzeuge eine Variable und speichere etwas Text in ihr sodass + mindestens 2 Worte vorhanden + sind. \\ (\verb+x = 'some text'+). Benutze die Indizierung um die + Woerter einzeln auszugeben. + \item Definiere zwei Vektoren: \verb+x = [3 2 6 8];+ and \verb+y = [4; 1; 3; 5];+ + \begin{enumerate} + \item ... addiere 5 zu jedem Element von \verb+x+. + \item ... addiere 3 zu jedem Element zu jedem Element von y, dass einen nicht gerade Index hat. + \item ... multipliziere jedes Element von \verb+x+ mit dem + entsprechenden Element in \verb+y+ und weise das Ergebnis der + Variable \verb+z+ zu. + \end{enumerate} + \end{enumerate} +\end{frame} + \end{document} From 4851365afc04830e77c8206f802b589b0531be96 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Wed, 8 Oct 2014 11:50:38 +0200 Subject: [PATCH 03/13] Matrices done --- programming/lectures/programming_basics.tex | 341 +++++++++++++++++++- 1 file changed, 333 insertions(+), 8 deletions(-) diff --git a/programming/lectures/programming_basics.tex b/programming/lectures/programming_basics.tex index 43d81ff..1621cbe 100644 --- a/programming/lectures/programming_basics.tex +++ b/programming/lectures/programming_basics.tex @@ -102,12 +102,11 @@ \item Variablen und Datentypen \item Vektoren und Matrizen \item Boolsche Operationen - \item Was ist ein Programm \item Kontrollstrukturen + \item Was ist ein Programm, Stil und Kommentare \item Vom Problem zum Algorithmus \item Skripte und Funktionen - \item Stil und Kommentare - \item Graphische Darstellung von Daten + \item Graphische Darstellung von Neuro Daten, PSTH, Rasterplot, STA \item Fortgeschrittene Datenstrukturen \item String Parsing \item Lesen und schreiben von Dateien, navigieren im Dateisystem @@ -293,7 +292,7 @@ \begin{frame}[fragile] \frametitle{Vektoren und Matrizen} \framesubtitle{Erzeugen von Vektoren} - \footnotesize + \tiny \begin{lstlisting}[label=arrayListing1] >> a = [0 1 2 3 4 5 6 7 8 9] % Erstellen eines Zeilenvektors a = @@ -349,7 +348,7 @@ \frametitle{Vektoren} \framesubtitle{Zugriff auf Inhalte von Vektoren} \vspace{-0.5cm} -\footnotesize +\tiny \begin{lstlisting} >> a = (11:20); >> a(1) % das 1. Element @@ -372,7 +371,7 @@ \frametitle{Vektoren} \framesubtitle{Zugriff auf Inhalte von Vektoren} \vspace{-0.5cm} -\footnotesize +\tiny \begin{lstlisting} >> a([1 3 5]) % das 1., 3. und 5. Element ans = @@ -394,7 +393,7 @@ \frametitle{Vektoren} \framesubtitle{Grundlegende Operationen} \vspace{-0.25cm} - \footnotesize + \tiny \begin{lstlisting}[label=arrayListing4] >> a = (0:2:8); >> a + 5 % addiere einen Skalar @@ -413,13 +412,80 @@ ans = 2 6 10 >> ->> a(1:2) + a(2:4) % Addierte Vektoren muessen die gleiche Groesse haben! +>> a(1:2) + a(2:4) % Vektoren muessen gleich gro{\ss} sein! ??? Error using ==> plus Matrix dimensions must agree. \end{lstlisting} \end{frame} +\begin{frame}[fragile] + \frametitle{Vektoren} + \framesubtitle{Grundlegende Operationen} + \vspace{-0.25cm} + \tiny + Wie bekomme ich Informationen \"uber einen Vektor? + \begin{lstlisting} +>> a = (0:2:8); +>> % die Laenge eines +>> length(a) + ans = + 5 +>> +>> size(a) + ans = + 1 5 +>> + \end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Vektoren} + \framesubtitle{Grundlegende Operationen} + \vspace{-0.25cm} + L\"oschen von Elementen: + \tiny + \begin{lstlisting} +>> a = (0:2:8); +>> length(a) + ans = + 5 +>> +>> a(1) = [] % loesche das erste Element + a = + 2 4 6 8 +>> a([1 3]) = [] + a = + 4 8 +>> length(a) + ans = + 2 + \end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Vektoren} + \framesubtitle{Grundlegende Operationen} + \vspace{-0.25cm} + \tiny + Verkettung von Vektoren: + \begin{lstlisting} +>> a = (0:2:8); +>> b = (10:2:19); +>> +>> c = [a b] % erstelle einen Vektor aus einer Liste von Vektoren + c = + 0 2 4 6 8 10 12 14 16 18 +>> length(c) + ans = + 10 +>> length(a) + length(b) + ans = + 10 + \end{lstlisting} +\end{frame} + + \begin{frame}[fragile] \frametitle{Vektoren} \framesubtitle{\"Ubungen} @@ -447,4 +513,263 @@ \end{enumerate} \end{frame} +\begin{frame}{Matrizen} + \vspace{-0.5cm} + \begin{figure} + \centering + \includegraphics[width=0.65\columnwidth]{./images/matrices} + \end{figure} +\end{frame} + + + +\begin{frame}[fragile] + \frametitle{Matrizen} + \framesubtitle{Erzeugen von Matrizen} + \tiny + \begin{lstlisting} +>> a = [1 2 3; 4 5 6; 7 8 9] +>> a = + 1 2 3 + 4 5 6 + 7 8 9 +>> +>> +>> b = ones(3,3,2); +>> b + + b(:,:,1) = + 1 1 1 + 1 1 1 + 1 1 1 + + b(:,:,2) = + 1 1 1 + 1 1 1 + 1 1 1 + \end{lstlisting} +\end{frame} + + +\begin{frame} + \frametitle{Matrizen} + \framesubtitle{Indexierung und Zugriff auf Inhalte} + \vspace{-0.5cm} + \begin{figure} + \centering + \includegraphics[width=0.9\columnwidth]{./images/matrixIndexing} + \end{figure} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Matrizen} + \framesubtitle{Indexierung} +\tiny +\begin{lstlisting} +>> x = roundi(100, [3, 4, 5]); % 3-D Matrix mit Zufallszahlen +>> +>> x(1,1,1); % obere linke Ecke + ans(1,1,1) = + 14 + >> + >> x(1,1,:) % obere linke Ecke entlang der 3. Dimension + ans(1,1,:) = + 14 + ans(:,:,2) = + 58 + ans(:,:,3) = + 4 + ans(:,:,4) = + 93 + ans(:,:,5) = + 56 + >> +\end{lstlisting} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Matrizen} + \framesubtitle{Grundlegende Operationen} + \vspace{-0.5 cm} + \tiny +\begin{lstlisting} +>> A = randi(10, [3, 3]) % 2-D Matrix + A = + 3 8 2 + 2 10 3 + 10 7 1 +>> B = randi(10, [3, 3]) % dto + B = + 2 1 7 + 1 5 9 + 5 10 5 +>> +>> A*B % Matrix Multiplikation + ans = + 24 63 103 + 29 82 119 + 32 55 138 +>> +>> A.*B % Elementweise Multiplikation + ans = + 6 8 14 + 2 50 27 + 50 70 5 +>> +\end{lstlisting} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Matrizen} + \framesubtitle{\"Ubungen} + \begin{enumerate} + \item Erstelle eine 5 x 5 Matrix die Zufallszahlen enth\"alt (nutze die + MATLAB Funktion \verb+randn()+, benutze die Hilfe. Was macht sie?). + \begin{enumerate} + \item Gib alle Elemente der ersten Zeile aus. + \item Gib alle Elemente der zweiten Spalte aus. + \item Greife mit einem einzigen Kommando auf die Elemnte jeder + 2. Spalte zu und speichere die Daten in einer neuen Variable. + \end{enumerate} + \item Erstelle eine 3-D Matrix aus drei 2-D Matrizen. Benutze die + \verb+cat()+ Funktion f\"ur diesen Zweck ( schaue in der Hilfe + nach, wie sie benutzt wird). + \begin{enumerate} + \item Gib alle Elemente des ersten ``Blattes'' aus (Index 1 in der 3. Dimension). + \end{enumerate} + \item Erstelle eine 3-D Matrix mithilfe der Funktion + \verb+ones()+. Multipliziere das erste Blatt mit 1, das zweite mit + 2, dritte mit 3 etc. + \end{enumerate} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Matrizen} + \framesubtitle{\"Ubungen} + \begin{enumerate}\setcounter{enumi}{3} + \item Erstelle folgende Variablen \verb+x = [1 5 9]+ and + \verb+y = [7 1 5]+ und \verb+M = [3 1 6; 5 2 7]+. Welche der + folgenden Operationen funktionieren? Wenn nicht, warum + funktioneieren sie nicht? Teste Deine Vorhersagen. + \begin{enumerate} + \item \begin{verbatim} x + y \end{verbatim} + \item \begin{verbatim} x * M \end{verbatim} + \item \begin{verbatim} x + y' \end{verbatim} + \item \begin{verbatim} M - [x y] \end{verbatim} + \item \begin{verbatim} [x; y] \end{verbatim} + \item \begin{verbatim} M - [x; y] \end{verbatim} + \end{enumerate} + \item Erzeuge eine 5 x 5 x 5 Matrix die mit ganzzahligen + Zufallszahlen zwischen 0 und 100 gefuellt ist. + \begin{enumerate} + \item Berechne den Mittelwert aller Bl\"atter dieser Matrix (benutze \verb+mean()+, siehe Hilfe). + \end{enumerate} + \end{enumerate} +\end{frame} + + +\begin{frame}[plain] + \huge{Boolesche Operationen} +\end{frame} + +\begin{frame} + \frametitle{Boolesche Operationen} + \framesubtitle{Was ist das?}\pause + + +\end{frame} + + +\begin{frame} +\frametitle{Boolesche Operationen} +\framesubtitle{Logische Operatoren} + \begin{table}[th] + \begin{center} + \begin{tabular}{c|c} + \hline + \textbf{Operator} & \textbf{Beschreibung} \\ \hline + $\sim$ & logisches NOT\\ + $\&$ & logisches UND\\ + $|$ & logisches ODER\\ + $\&\&$ & short-circuit logical AND\\ + $\|$ & short-circuit logical OR\\ + \hline + \end{tabular} + \end{center} + Das auschliessende ODER (XOR) ist nur als Funktion \verb+xor(A, B)+ verf\"ugbar. +\end{table} +\end{frame} + + +\subsection{Relational operators} +\begin{frame} + \frametitle{Boolesche Operationen} + \framesubtitle{Relationale Operatoren} + \begin{table}[th] + \begin{center} + \begin{tabular}{c|c} + \hline + \textbf{Operator} & \textbf{Beschreibung} \\ \hline + $<$ & kleiner als\\ + $>$ & gr\"o\{ss}er als \\ + $==$ & gleich \\ + $>=$ & gr\"o\{ss}er oder gleich\\ + $<=$ & kleiner oder gleich\\ + $\sim=$ & ungleich\\ + \hline + \end{tabular} + \end{center} + \end{table} +\end{frame} + +\subsection{Logical operators} + + +\subsection{Boolean operations} +\begin{frame}[fragile]{Boolean operations}{Examples} +\tiny +\begin{lstlisting}[label=booleanListing1] + >> x = [2 0 0 5 0] & [1 0 3 2 0] + x = + 1 0 0 1 0 + >> + >> ~([2 0 0 5 0] & [1 0 3 2 0]) + ans = + 0 1 1 0 1 + + >> [2 0 0 5 0] | [1 0 3 2 0] + ans = + 1 0 1 1 0 +\end{lstlisting} +\end{frame} + +\subsection{Exercises} +\begin{frame}[fragile]{Boolean operations}{Exercises} +\vspace{-0.5cm} + \begin{enumerate} + \item Given are two vectors \verb+x = [1 5 2 8 9 0 1]+ and + \verb+y = [5 2 2 6 0 0 2]+. Execute and explain the following commands. + \begin{enumerate} + \item \verb+x > y+ + \item \verb+y < x+ + \item \verb+x == y+ + \item \verb+x ~= y+ + \item \verb+x & ~y+ + \item \verb+x | y+ + \end{enumerate} + \item One can use boolean operations for so called logical indexing: + Given are \verb+x = 1:10+ and \verb+y = [3 1 5 6 8 2 9 4 7 0]+. Try + to understand the following commands. + \begin{enumerate} + \item \verb+x( (y <= 2) )+ + \item \verb+x( (x > 2) | (y < 8) )+ + \item \verb+x( (x == 0) & (y == 0) )+ + \end{enumerate} + \item Play around with boolean operations. + \end{enumerate} +\end{frame} + \end{document} From e81498d09538fc169b52bc64d4bba636161737d8 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Wed, 8 Oct 2014 14:56:48 +0200 Subject: [PATCH 04/13] Bool done --- programming/lectures/images/AnotB.png | Bin 0 -> 104207 bytes programming/lectures/images/AundB.png | Bin 0 -> 108823 bytes programming/lectures/images/AvB.png | Bin 0 -> 179688 bytes programming/lectures/images/AxorB.png | Bin 0 -> 104821 bytes programming/lectures/images/beete.png | Bin 0 -> 309615 bytes programming/lectures/images/grundmenge.png | Bin 0 -> 161805 bytes programming/lectures/programming_basics.tex | 173 +++++++++++++------- 7 files changed, 114 insertions(+), 59 deletions(-) create mode 100644 programming/lectures/images/AnotB.png 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z;Nq8D%d&bRZwoa1b>d+ESQG*!EWNyvu=+UVO}M0Kpxt9@OL$;qUmyr^AAl2~oC$KY z(r^G3FqvI5z4oTr^FLUl?AdIy&^A4X#aQk0uxmN?2b2QPXtV;K^=wdXZAAsv)+tg_ z(+CkzTbj^$|3mNOXljnVHEFS+hV%Sm}$uX+-bZ!#cuAZ)df`|@p;soLTa1K}r@Hyy5OzMm>l zs=B#(q$2Ne7WWTgNgK7;n1`O_!{wbbaqq1{p)L)*_$Y!oxNxuwt0BkCFEt1>8$u~Z`yott7><%KE& z0T0~jlEkaeU-Nvptw!V7HdeblTa#$A5|-r>UG#Z1`JEqVf3JGC@%>glQ1SSlKub&P z#R%FIDG47(_8XCS9dQ;HaLw*j!H=VY?N0b6a>Iyiis$71VdPFw9?d_;TVK zpWY!#N$^oRx=Tq%80qN54x7@^(b;Gmq@&Bwv)e;Q_j3PvI=W|4Zy4z4Zi { + \begin{figure} + \centering + \includegraphics[width=0.75\columnwidth]{./images/grundmenge} + \end{figure} + } + \only<2> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/beete} + \end{figure} + } + \only<3> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AvB} + \end{figure} + } + \only<4> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AundB} + \end{figure} + } + \only<5> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AnotB} + \end{figure} + } + \only<6> { + \begin{figure} + \centering + \includegraphics[height=0.65\textheight]{./images/AxorB} + \end{figure} + } \end{frame} - -\begin{frame} +\begin{frame}[fragile] \frametitle{Boolesche Operationen} \framesubtitle{Logische Operatoren} \begin{table}[th] - \begin{center} - \begin{tabular}{c|c} - \hline - \textbf{Operator} & \textbf{Beschreibung} \\ \hline - $\sim$ & logisches NOT\\ - $\&$ & logisches UND\\ - $|$ & logisches ODER\\ - $\&\&$ & short-circuit logical AND\\ - $\|$ & short-circuit logical OR\\ - \hline - \end{tabular} - \end{center} - Das auschliessende ODER (XOR) ist nur als Funktion \verb+xor(A, B)+ verf\"ugbar. -\end{table} + \caption{\label{logicalOperatorsTab} + \textbf{Logical operators.}} + \begin{center} + \begin{tabular}{c|c} + \hline + \textbf{Operator} & \textbf{Beschreibung} \\ \hline + $\sim$ & logisches NOT\\ + $\&$ & logisches UND\\ + $|$ & logisches ODER\\ + $\&\&$ & short-circuit logical AND\\ + $\|$ & short-circuit logical OR\\ + \hline + \end{tabular} + \end{center} + \vspace{1em} + Das auschliessende ODER (XOR) ist nur als Funktion \verb+xor(A, B)+ verf\"ugbar. + \end{table} \end{frame} -\subsection{Relational operators} -\begin{frame} +\begin{frame}[fragile] \frametitle{Boolesche Operationen} \framesubtitle{Relationale Operatoren} \begin{table}[th] + \caption{\label{relOperatorsTab} + \textbf{Relational Operators.}} \begin{center} \begin{tabular}{c|c} \hline \textbf{Operator} & \textbf{Beschreibung} \\ \hline $<$ & kleiner als\\ - $>$ & gr\"o\{ss}er als \\ + $>$ & gr\"osser als \\ $==$ & gleich \\ - $>=$ & gr\"o\{ss}er oder gleich\\ - $<=$ & kleiner oder gleich\\ + $>=$ & gr\"osser oder gleich \\ + $<=$ & kleiner oder gleich \\ $\sim=$ & ungleich\\ \hline \end{tabular} @@ -725,13 +764,12 @@ \end{table} \end{frame} -\subsection{Logical operators} - -\subsection{Boolean operations} -\begin{frame}[fragile]{Boolean operations}{Examples} -\tiny -\begin{lstlisting}[label=booleanListing1] +\begin{frame}[fragile] + \frametitle{Boolean operations} + \framesubtitle{Beispiele} + \tiny + \begin{lstlisting} >> x = [2 0 0 5 0] & [1 0 3 2 0] x = 1 0 0 1 0 @@ -743,33 +781,50 @@ >> [2 0 0 5 0] | [1 0 3 2 0] ans = 1 0 1 1 0 -\end{lstlisting} -\end{frame} - -\subsection{Exercises} -\begin{frame}[fragile]{Boolean operations}{Exercises} -\vspace{-0.5cm} - \begin{enumerate} - \item Given are two vectors \verb+x = [1 5 2 8 9 0 1]+ and - \verb+y = [5 2 2 6 0 0 2]+. Execute and explain the following commands. - \begin{enumerate} - \item \verb+x > y+ - \item \verb+y < x+ - \item \verb+x == y+ - \item \verb+x ~= y+ - \item \verb+x & ~y+ - \item \verb+x | y+ - \end{enumerate} - \item One can use boolean operations for so called logical indexing: - Given are \verb+x = 1:10+ and \verb+y = [3 1 5 6 8 2 9 4 7 0]+. Try - to understand the following commands. - \begin{enumerate} - \item \verb+x( (y <= 2) )+ - \item \verb+x( (x > 2) | (y < 8) )+ - \item \verb+x( (x == 0) & (y == 0) )+ - \end{enumerate} - \item Play around with boolean operations. - \end{enumerate} +\end{lstlisting} \end{frame} + +\begin{frame}[fragile] + \frametitle{Boolesche Operationen} + \framesubtitle{\"Ubungen} + \vspace{-0.5cm} + \begin{enumerate} + \item Gegeben sind zwei Vektoren \verb+x = [1 5 2 8 9 0 1]+ und + \verb+y = [5 2 2 6 0 0 2]+. F\"uhre aus und erkl\"are. + \begin{enumerate} + \item \verb+x > y+ + \item \verb+y < x+ + \item \verb+x == y+ + \item \verb+x ~= y+ + \item \verb+x & ~y+ + \item \verb+x | y+ + \end{enumerate} + \end{enumerate} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Logische Indexierung} + \framesubtitle{\"Ubungen} + Boolesche Operationen koennen eingesetzt werden um aus Vektoren und + Matrizen Elemente auszuwaehlen, die einer bestimmten Bedingung + entsprechen. + \begin{enumerate} + \item Gegeben sind \verb+x = (1:10)+ und + \verb+y = [3 1 5 6 8 2 9 4 7 0]+. Try to understand the following + commands. + \begin{enumerate} + \item \verb+x( (y <= 2) )+ + \item \verb+x( (x > 2) | (y < 8) )+ + \item \verb+x( (x == 0) \& (y == 0) )+ + \end{enumerate} + \item Erzeuge eine 100x100 2-D Matrix mit Zufallswerten zwischen 0 und 100 (\verb+randi+). Ersetze \verb+x < 33+ mit 0, \verb+x >= 33 und x < 66+ mit 1 und alle \verb+x >= 66+ auf 2. + \item Ermittle die Anzahl Elemente fuer jede Klasse mithilfe eines Booleschen Ausdrucks. + \end{enumerate} +\end{frame} + + + + \end{document} From 54a390edc393542e9996692f3f1357e2b91f838b Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Wed, 8 Oct 2014 15:42:46 +0200 Subject: [PATCH 05/13] Control flow done --- programming/lectures/programming_basics.tex | 182 ++++++++++++++++++++ 1 file changed, 182 insertions(+) diff --git a/programming/lectures/programming_basics.tex b/programming/lectures/programming_basics.tex index bc46de0..e221234 100644 --- a/programming/lectures/programming_basics.tex +++ b/programming/lectures/programming_basics.tex @@ -824,7 +824,189 @@ \end{enumerate} \end{frame} +\begin{frame}[plain] + \huge{4. Kontrollstrukturen} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Kontrollstrukturen} + \framesubtitle{Schleifen} + Schleifen werden gebrauch um wiederholte Ausfuehrung desselben Codes zu vereinfachen. + \tiny + \begin{lstlisting} +>> x = 1; % Startwert fuer x + ... % etwas sinnvolles mit x +>> x = x + 1; + ... +>> x = x + 1; + ... +>> x = x + 1; + ... +>> x = x + 1; + ... +>> x = x + 1; +>> +>> x + x = + 6 +\end{lstlisting} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Kontrollstrukturen} + \framesubtitle{for - Schleife} + \tiny + \begin{lstlisting}[label=loopListing2] +>> for x = 1:5 + ... % etwas sinnvolles mit x ... + end +>> disp(x); + 5 +>> +\end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Kontrollstrukturen} + \framesubtitle{while - Schleife} + \tiny + \begin{lstlisting} +>> x = 1; +>> while x <= 5 + ... % etwas sinnvolles mit x ... + disp(x); + x = x + 1; + end + 1 + 2 + 3 + 4 + 5 +>> disp(x) + 6 +>> +>> while true %never ending loop! + disp(x); + x = x + 1; + end + 1 + 2 + ... +\end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Kontrollstrukturen} + \framesubtitle{if - Anweisung (bedingte Anweisung)} + + Wird eingesetzt um bestimmte Code Abschnitte + nur unter bestimmten Umst\"anden auszuf\"uhren. + + \tiny +\begin{lstlisting}[label=loopListing4] +>> x = rand(1); % eine einzelne Zufallszahl +>> if x < 0.5 + disp('x is less than 0.5'); + end +>> +>> if x < 0.5 + disp('x is less than 0.5!'); + else + disp('x is greater than or equal to 0.5!') + end +>> +>> if x < 0.5 + disp('x is less than 0.5!'); + elseif x < 0.75 + disp('x is greater than 0.5 but less than 0.75!'); + else + disp('x is greater than or equal to 0.75!') + end +>> +>> if x < 0.75 + disp('x is less than 0.75!'); + elseif x < 0.5 + disp('x is less than 0.5!'); + else + disp('x is greater than or equal to 0.75!') + end +\end{lstlisting} +\end{frame} +\begin{frame}[fragile] + \frametitle{Kontrollstrukturen} + \framesubtitle{break unnd continue} + \vspace{-0.5cm} + \tiny + \begin{lstlisting} +>> for x = 1:5 % using continue + if(x > 2 & x < 5) + continue; + end + disp(x); + end + 1 + 2 + 5 +>> +>> for x = 1:5000 % using break + if(x > 5) + break; + end + disp(x); + end + 1 + 2 + 3 + 4 + 5 +>> +\end{lstlisting} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Kontrollstrukturen} + \framesubtitle{\"Ubungen} + \begin{enumerate} + \item Erzeuge einen Vektor 'x' mit z.B. 50 Zufallszahlen im Bereich 0 - 10. + \begin{enumerate} + \item Benutze eine Schleife um das arithmetische Mittel zu berechnen. Der Mittelwert ist definiert als: + $\overline{x}=\frac{1}{n}\sum\limits_{i=0}^{n}x_i $. + \item Benutze eine Schleife um die Standardabweichung zu bestimmen: + $\sigma=\sqrt{\frac{1}{n}\sum\limits_{i=0}^{n}(x_i-\overline{x})^2}$). + \item Suche in der MATLAB Hilfe nach Funktionen, die das fuer dich tuen :-). + \end{enumerate} + \item Erzeuge eine 5 x 5 x 5 Matrix mit Zufallszahlen. + \begin{enumerate} + \item Benutze eine for Schleife um nacheinander die Elemente jedes ``Blattes'' einzeln auszugeben. + \item Das gleich mit einer while-Schleife. + \end{enumerate} + \end{enumerate} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Kontrollstrukturen} + \framesubtitle{\"Ubungen} + \vspace{-0.5cm} + \begin{enumerate}\setcounter{enumi}{2} + \item Erstelle 'x' einen Vektor mit 10 Zufallszahlen im Bereich 0:10. + \begin{enumerate} + \item Benutze eine for-Schleife um all die Elemente zu loeschen, + die (\verb+x(index) = [];+) kleiner als 5 sind. + \item Loesche alle Elemente die kleiner als 5 und groesser als 2 sind. + \item Kann man das gleiche auch ohne eine Schleife erledigen? + \end{enumerate} + \item Teste den Zufallsgenerator! Dazu zaehle die Anzahl der + Elemente, die durch folgende Grenzen getrennt werden [0.2 0.4 0.6 + 0.8 1.0]. Speichere die Ergebnisse in einem passenden + Vektor. Nutze eine Schleife um 1000 Zufallszahlen mit + \verb+rand()+ (siehe Hilfe) zu ziehen. Was waere die Erwartung, + was kommt heraus? +\end{enumerate} +\end{frame} + \end{document} From afb0134395fe609c58b0984dc25bace3fd341d2e Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Wed, 8 Oct 2014 17:37:24 +0200 Subject: [PATCH 06/13] add uni logo --- programming/lectures/programming_basics.tex | 3 +++ 1 file changed, 3 insertions(+) diff --git a/programming/lectures/programming_basics.tex b/programming/lectures/programming_basics.tex index e221234..01db468 100644 --- a/programming/lectures/programming_basics.tex +++ b/programming/lectures/programming_basics.tex @@ -57,6 +57,9 @@ \subject{Einf\"uhrung in wissenschaftliche Datenverarbeitung} +\titlegraphic{ + \includegraphics[width=0.5\linewidth]{../../resources/UT_WBMW_Rot_RGB} +} %%%%%%%%%% configuration for code \lstset{ basicstyle=\ttfamily, From 934524e6fb13afeedf48fcfe064d70db30078b81 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Wed, 8 Oct 2014 17:48:19 +0200 Subject: [PATCH 07/13] initals for Day2 --- programming/lectures/scripts_functions.tex | 170 +++++++++++++++++++++ 1 file changed, 170 insertions(+) create mode 100644 programming/lectures/scripts_functions.tex diff --git a/programming/lectures/scripts_functions.tex b/programming/lectures/scripts_functions.tex new file mode 100644 index 0000000..11ab8ab --- /dev/null +++ b/programming/lectures/scripts_functions.tex @@ -0,0 +1,170 @@ +\documentclass{beamer} +\usepackage{xcolor} +\usepackage{listings} +\usepackage{pgf} +%\usepackage{pgf,pgfarrows,pgfnodes,pgfautomata,pgfheaps,pgfshade} +%\usepackage{multimedia} + +\usepackage[english]{babel} +\usepackage{movie15} +\usepackage[latin1]{inputenc} +\usepackage{times} +\usepackage{amsmath} +\usepackage{bm} +\usepackage[T1]{fontenc} +\usepackage[scaled=.90]{helvet} +\usepackage{scalefnt} +\usepackage{tikz} +\usepackage{ textcomp } +\usepackage{soul} +\usepackage{hyperref} +\definecolor{lightblue}{rgb}{.7,.7,1.} +\definecolor{mygreen}{rgb}{0,1.,0} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\mode +{ + \usetheme{Singapore} + \setbeamercovered{opaque} + \usecolortheme{tuebingen} + \setbeamertemplate{navigation symbols}{} + \usefonttheme{default} + \useoutertheme{infolines} + % \useoutertheme{miniframes} +} + +\AtBeginSection[] +{ + \begin{frame} + \begin{center} + \Huge \insertsectionhead + \end{center} + % \frametitle{\insertsectionhead} + % \tableofcontents[currentsection,hideothersubsections] + \end{frame} +} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 + +\setbeamertemplate{blocks}[rounded][shadow=true] + +\title[]{Scientific Computing -- Grundlagen der Programmierung } +\author[]{Jan Grewe\\Abteilung f\"ur Neuroethologie\\ + Universit\"at T\"ubingen} + +\institute[Wissenschaftliche Datenverarbeitung]{} + \date{03.10.2014 - 07.11.2014} + %\logo{\pgfuseimage{../../resources/UT_BM_Rot_RGB.pdf}} + +\subject{Einf\"uhrung in wissenschaftliche Datenverarbeitung} +\vspace{1em} +\titlegraphic{ + \includegraphics[width=0.5\linewidth]{../../resources/UT_WBMW_Rot_RGB} +} +%%%%%%%%%% configuration for code +\lstset{ + basicstyle=\ttfamily, + numbers=left, + showstringspaces=false, + language=Matlab, + commentstyle=\itshape\color{darkgray}, + keywordstyle=\color{blue}, + stringstyle=\color{green}, + backgroundcolor=\color{blue!10}, + breaklines=true, + breakautoindent=true, + columns=flexible, + frame=single, + captionpos=b, + xleftmargin=1em, + xrightmargin=1em, + aboveskip=10pt + } +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\newcommand{\mycite}[1]{ +\begin{flushright} +\tiny \color{black!80} #1 +\end{flushright} +} + +\input{../../latex/environments.tex} +\makeatother + +\begin{document} + +\begin{frame}[plain] + \frametitle{} + \vspace{-1cm} + \titlepage % erzeugt Titelseite +\end{frame} + +\begin{frame}[plain] + \frametitle{Rekapitulation} + \begin{enumerate} + \item Variablen\pause + \item Vektoren\pause + \item Matrizen\pause + \item Boolesche Operationen\pause + \item Logische Indizierung\pause + \item Kontrollstrukturen + \end{enumerate} +\end{frame} + + +\begin{frame} + \frametitle{Grundlagen der Programmierung} + \frametitle{Tagesmen\"u} + \begin{enumerate} + \item Was ist ein Program? + \item Skripte und Funktionen + \item G\"ultigkeitsbereiche + \item Vom Problem zum Algorithmus + \item \"Ubungen, \"Ubungen, \"Ubungen. + \end{enumerate} +\end{frame} + + +\begin{frame}[plain] + \huge{1. Was ist ein Programm?} +\end{frame} + +\begin{frame} + \frametitle{Was ist ein Program?} + \frametitle{Und wo lebt es?} + + +\end{frame} + +\begin{frame}[plain] + \huge{2. Skripte und Funktionen} +\end{frame} + + +\begin{frame} + \frametitle{Skripte und Funktionen} + \framesubtitle{Skripte} + Achtung clash von variablen provozieren. Skript, das 2 Skripte aufruft. + Wettbewerb, wer findet den Fehler? +\end{frame} + +\begin{frame} + \frametitle{Skripte und Funktionen} + \framesubtitle{Funktionen} + Funktionskopf - Schnittstelle + Funktionskoerper + Eingangs und Ausgangsargumente +\end{frame} + +\begin{frame} + \frametitle{} + \framesubtitle{} + +\end{frame} + +\begin{frame} + \frametitle{} + \framesubtitle{} + +\end{frame} + + +\end{document} From 4d6b30547b85c36be57357bff885f29eb9eeaadc Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Thu, 9 Oct 2014 11:55:37 +0200 Subject: [PATCH 08/13] add interlude: matrix multiplication, add linear indexing --- programming/lectures/programming_basics.tex | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/programming/lectures/programming_basics.tex b/programming/lectures/programming_basics.tex index 01db468..58036a6 100644 --- a/programming/lectures/programming_basics.tex +++ b/programming/lectures/programming_basics.tex @@ -624,6 +624,11 @@ \end{frame} +\begin{frame}[plain] +\huge{Interludium: Matrixmultiplikation} +\end{frame} + + \begin{frame}[fragile] \frametitle{Matrizen} \framesubtitle{\"Ubungen} @@ -673,6 +678,16 @@ \end{enumerate} \end{frame} +\begin{frame} +\frametitle{Matrizen} +\framesubtitle{Nachtrag Indexierung} +Alternativ zum ``subscript indexing'' koennen die Elemente von Matrizen auch linear addressiert werden. + \begin{figure} + \centering + \includegraphics[width=0.75\columnwidth]{./images/matrixLinearIndexing} + \end{figure} +\end{frame} + \begin{frame}[plain] \huge{3. Boolesche Operationen} From c456329e2216bed676384265e86ee6784641a530 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Thu, 9 Oct 2014 11:56:09 +0200 Subject: [PATCH 09/13] Programming style done. --- programming/lectures/scripts_functions.tex | 87 ++++++++++++++++++++-- 1 file changed, 81 insertions(+), 6 deletions(-) diff --git a/programming/lectures/scripts_functions.tex b/programming/lectures/scripts_functions.tex index 11ab8ab..38773ac 100644 --- a/programming/lectures/scripts_functions.tex +++ b/programming/lectures/scripts_functions.tex @@ -128,12 +128,40 @@ \end{frame} \begin{frame} - \frametitle{Was ist ein Program?} - \frametitle{Und wo lebt es?} - + \frametitle{Was ist ein Programm?} + \framesubtitle{Und wo lebt es?} + Ein Programm ist ... + \begin{itemize} + \item ... eine Sammlung von Anweisungen. + \end{itemize}\pause + Es lebt in ... + \begin{itemize} + \item ... einer Datei auf dem Rechner. + \end{itemize}\pause + Wenn es zum Leben erweckt wird... + \begin{itemize} + \item ... wird es Zeile fuer Zeile von oben nach unten ausgef\"urht. + \end{itemize} +\end{frame} +\begin{frame} + \frametitle{Was ist ein Programm?} + \framesubtitle{In Matlab} + \begin{itemize} + \item Matlab kennt verschieden Arten von Programmen: + \begin{enumerate} + \item Skripte + \item Funktionen + \item Objekte (werden wir ignorieren) + \end{enumerate}\pause + \item Alle werden in sogenannte m-files gespeichert (z.B. \textit{meinProgramm.m}). + \item Koennen dann von der Kommandozeile aufgerufen werden. + \item Programme erhoehen die Wiederverwertbarkeit von Programmcode. + \item Programme koennen andere Programme aufrufen. + \end{itemize} \end{frame} + \begin{frame}[plain] \huge{2. Skripte und Funktionen} \end{frame} @@ -154,10 +182,57 @@ Eingangs und Ausgangsargumente \end{frame} -\begin{frame} - \frametitle{} - \framesubtitle{} +\begin{frame}[fragile] + \frametitle{Skripte und Funktionen} + \framesubtitle{Programmierstil} + Programmierstil ist: + \begin{enumerate} + \item Die Namensgebung fuer Variablen und Konstanten. + \item Die Namensgebung von Skripten und Funktionen. + \item Die Verwendung von Einr\"uckungen und Leerzeilen um Bl\"ocke im Code hervorzuheben. + \item Verwendung von Kommentaren und Hilfetexten. + \end{enumerate} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Skripte und Funktionen} + \framesubtitle{Programmierstil} + In verschiednen Sprachen verschiedene Konventionen. In MATLAB ... + \begin{itemize} + \item Funktionen, Skripte: Kleinbuchstaben, Abk\"urzungen. (z.B. \verb+xcorr+, \verb+repmat+) + \item Konvertierungen immer mit format2format (z.B. \verb+num2str+) + \item Variablen immer klein, h\"aufig Abk\"urzungen. + \item Kommentare h\"aufig fuer interne Zwecke aber ausf\"uhrliche Dokumentation mit Hilftexten. + \end{itemize} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Skripte und Funktionen} \framesubtitle{Programmierstil} + Es gibt verschiedene ''Religionen''. Ein m\"ogliches Credo k\"onnte + sein: \\ + \textbf{``Programmcode muss lesbar sein.''}\pause + \begin{enumerate} + \item Variablen werden klein geschrieben. Wenn n\"otig entweder im + \textit{camelCase} oder mit Unterstrichen (z.B. \verb+spikeCount+ + oder \verb+spike\_count+). + \item Funktionen und Skripte mit ausdrucksstarken Namen (z.B. \verb+loadSpikeData+). + \item Kommentare sparsam. Eventuell um Abschnitte zu trennen. + \item Hilfetexte: Ein Problem; sie m\"ussen aktuell sein sonst sind + sie sch\"adlicher als wenn sie gar nicht da w\"aren. + \item Einr\"uckung ist Pflicht. + \item Bl\"ocke im Code werden durch 1 Leerzeichen getrennt. + \end{enumerate} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Skripte und Funktionen} \framesubtitle{Programmierstil} + Ihr d\"urft all das missachten aber:\\ + \vspace{2em} + \huge{Bleibt konsitent!}\pause + \vspace{4em} + Es gibt dazu ganze B\"ucher. z.B. Robert C. Martin: \textit{Clean + Code: A Handbook of Agile Software Craftmanship}, Prentice Hall \end{frame} \begin{frame} From ed6a1037efdd3917cf3b70c4d16cdb1c5c7b92cb Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Thu, 9 Oct 2014 11:56:50 +0200 Subject: [PATCH 10/13] Programming style done. --- programming/lectures/scripts_functions.tex | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/programming/lectures/scripts_functions.tex b/programming/lectures/scripts_functions.tex index 38773ac..b325f0a 100644 --- a/programming/lectures/scripts_functions.tex +++ b/programming/lectures/scripts_functions.tex @@ -228,9 +228,10 @@ \frametitle{Skripte und Funktionen} \framesubtitle{Programmierstil} Ihr d\"urft all das missachten aber:\\ - \vspace{2em} + \centering \huge{Bleibt konsitent!}\pause \vspace{4em} + \normalsize Es gibt dazu ganze B\"ucher. z.B. Robert C. Martin: \textit{Clean Code: A Handbook of Agile Software Craftmanship}, Prentice Hall \end{frame} From 70d3317e4341ce355351b4f777e63b44fbeb8932 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Thu, 9 Oct 2014 18:15:12 +0200 Subject: [PATCH 11/13] finished...? --- programming/lectures/scripts_functions.tex | 157 +++++++++++++++++++-- 1 file changed, 145 insertions(+), 12 deletions(-) diff --git a/programming/lectures/scripts_functions.tex b/programming/lectures/scripts_functions.tex index b325f0a..1596b2e 100644 --- a/programming/lectures/scripts_functions.tex +++ b/programming/lectures/scripts_functions.tex @@ -167,19 +167,80 @@ \end{frame} -\begin{frame} +\begin{frame}[fragile] \frametitle{Skripte und Funktionen} \framesubtitle{Skripte} - Achtung clash von variablen provozieren. Skript, das 2 Skripte aufruft. - Wettbewerb, wer findet den Fehler? + Beispiel: Plot von Sinusschwingungen + \footnotesize + \begin{lstlisting} +>> x = (0:0.01:2*pi); +>> frequenz_1 = 1; +>> frequenz_2 = 2; +>> y = sin(frequenz_1 * x); +>> y2 = sin(frequenz_2 * x); +>> plot(x, y); +>> hold on; +>> plot(x, y2); +\end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Skripte und Funktionen} + \framesubtitle{\"Ubungen} + \begin{enumerate} + \item \"Offnet den Editor und schreibt ein Skript, das f\"unf Sinus + mit den Amplituden \verb+amplitude = [0.25, 0.5, 1.0, 2.0]+ in + einen Graphen plottet. Benutzt eine \verb+for+ Schleife um die Amplituden abzuarbeiten. + \item Speichert das Skript und f\"uhrt es von der Kommandozeile aus. + \item Erzeuge ein zweites Skript, das nun die Frequenz setzt und das + erste aufruft. Benutzt eine \verb+for+ Schleife um folgende + Frequenzen abzuarbeiten \verb+frequenzen = [1.0, 2.0]+. + \item Speichert und ruft dieses Skript \"uber die Kommandozeile auf. + \item Was ist geplottet, passt es zu den Erwartungen? + \end{enumerate} \end{frame} \begin{frame} \frametitle{Skripte und Funktionen} \framesubtitle{Funktionen} - Funktionskopf - Schnittstelle - Funktionskoerper - Eingangs und Ausgangsargumente + Vorherige \"Ubung hat gezeigt, dass die Verwendung von globalen Variablen gef\"ahrlich ist. + Wie l\"ost man dieses Problem?\\ + \vspace{3em} + \huge{Funktionen!} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Funktionen} \framesubtitle{Funktionen} + Funktionen haben ihren eingenen G\"ultigkeitsbereich. Variablen im + \textit{Workspace} sind ohne Konsequenzen f\"ur die Funktion. + \footnotesize + \begin{lstlisting} +function plot_sinus_mit_amplituden() % Funktionskopf + x = (0:0.01:2*pi); % hier faengt der Funktionskoerper an + frequenz = 1.0; + amplituden = [0.25 0.5 0.75 1.0 1.25]; + + for i = 1:length(amplituden) + y = sin(frequenz * x) * amplituden(i); + plot(x, y) + hold on; + end +\end{lstlisting}\pause +Ist das eine gute Funktion? +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Funktionen} + \framesubtitle{Argumente und R\"uckgabewerte} + Grundlegende Idee ist $y = f(x)$.\\ + \"Ahnlich dazu kann man den Funktionskopf mit Argumenten und R\"uckgabewerten definieren + \footnotesize + \begin{lstlisting} +function y = plot_sinus(frequenz, amplitude) +% ^ ^ ^ +% Rueckgabewert Argument_1 Argument_2 +\end{lstlisting} \end{frame} \begin{frame}[fragile] @@ -194,6 +255,34 @@ \end{enumerate} \end{frame} +\begin{frame}[fragile] + \frametitle{Funktionen} + \framesubtitle{Zusammenfassung} + Funktionen sind kleine Code Fragmente, die + \begin{enumerate} + \item ... genau eine Aufgabe erledigen. + \item ... Argumente entgegennehmen k\"onnen. + \item ... R\"uckgabewerte haben k\"onnen. + \item ... ihren eigenen G\"ueltigkeitsbereich haben. + \item ... Skripten fast immer vorzuziehen sind. + \end{enumerate} +\end{frame} + +\begin{frame}[plain] +\huge{3. Programmierstil} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Programmierstil} + \framesubtitle{Was soll das?} + \begin{enumerate} + \item Die Namensgebung fuer Variablen und Konstanten. + \item Die Namensgebung von Skripten und Funktionen. + \item Die Verwendung von Einr\"uckungen und Leerzeilen um Bl\"ocke im Code hervorzuheben. + \item Verwendung von Kommentaren und Hilfetexten. + \end{enumerate} +\end{frame} + \begin{frame}[fragile] \frametitle{Skripte und Funktionen} \framesubtitle{Programmierstil} @@ -225,21 +314,65 @@ \end{frame} \begin{frame}[fragile] - \frametitle{Skripte und Funktionen} \framesubtitle{Programmierstil} - Ihr d\"urft all das missachten aber:\\ - + \frametitle{Programmierstil} + Ihr d\"urft all das missachten und einen eingenen Stil entwickeln. Aber:\\ + \vspace{2.5cm} \centering \huge{Bleibt konsitent!}\pause - \vspace{4em} + \vspace{2.5cm} \normalsize + Es gibt dazu ganze B\"ucher. z.B. Robert C. Martin: \textit{Clean Code: A Handbook of Agile Software Craftmanship}, Prentice Hall \end{frame} + +\begin{frame}[fragile] + \frametitle{Funktionen} + \frametitle{\"Ubungen} + \begin{enumerate} + \item Schreibe eine Funktion \verb+plotSineWave+ die die amplitude + des Sinus als Argument entgegennimmt. + \item Erweitere die Funktion in der Weise, dass sie zus\"atzlich die + gew\"uenschte Frequnez \"ubernimmt. + \item Erweitere \verb+plotSineWave+ so, dass sie eine Schar von + Sinuswellen unterschiedlicher Frequenz plottet. + \item Erweitere \verb+plotSinWave+ so, dass auch die Amplitude als + Vektor \"ubergeben werden kann. Die Funktion soll alle m\"oglichen + Kombinationen darstellen. + \item Erweitere \verb+plotSinWave+ so, dass die berechnete Sinus in einer 2-D Matrize zurckgegeben werden. + \item Fuege zwei weitere R\"uckgabeparameter hinzu, die fuer jede + Berechnung die Amplitude und Frequenz zur\"uckgeben. + \end{enumerate} +\end{frame} + + +\begin{frame}[plain] + \huge{4. Vom Problem zum Algorithmus zum Programm}\\ + \begin{figure} + \centering + \includegraphics[height=0.6\textheight]{./images/turtur} + \end{figure} +\end{frame} + \begin{frame} - \frametitle{} - \framesubtitle{} + \frametitle{Vom Problem zum Algorithmus} + \framesubtitle{Uff, schwierig...} + \begin{enumerate} + \item Am besten faengt man mit einem weissen Blatt an. :-) \pause + \item Begr\"abt alle Angst vor Fehlern. \pause + \item Macht sich klar, was das die Ausgangsituation ist.\pause + \item Macht sich klar, was das Ziel ist.\pause + \item Zerlegt das Problem in kleinere Teile und wendet Schritte 1 - 5 auf jedes Teilproblem an. + \end{enumerate} +\end{frame} +\begin{frame} + \frametitle{Vom Problem zum Algorithmus} + \framesubtitle{Uff, schwierig...} + Wie w\"are es mit folgendem Problem:\\ + Ich habe die Aufnahme des Membranpotentials einer Nervenzelle und m\"ochte die + Anzahl und die Zeitpunkte der Aktionspotentiale ermitteln. \end{frame} From 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+\usepackage[breaklinks=true,bookmarks=true,bookmarksopen=true,pdfpagemode=UseNone,pdfstartview=FitH,colorlinks=true,citecolor=blue]{hyperref} + +%%%%%title +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\title{\bf Einf\"uhrung in die wissenschaftliche Datenanlyse\\ \"Ubungen} +\author{Fabian Sinz, Jan Grewe, Jan Benda} +\date{\noindent\parbox{\textwidth}{\normalsize\itshape Eberhardt Karls Universit\"at +T\"ubingen, Abt. Neuroethologie }} + +%%%%% text size %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% letter : 8.5 x 11 in +\setlength{\headheight}{5mm} % default ~5mm +\setlength{\headsep}{8mm} % default ~10mm +\setlength{\topmargin}{15mm} % default ~8mm +\setlength{\textheight}{23cm} + +\setlength{\oddsidemargin}{2.5cm} +\setlength{\evensidemargin}{2.5cm} +\setlength{\textwidth}{16cm} + +\setlength{\voffset}{-1in} +\setlength{\hoffset}{-1in} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\renewcommand{\baselinestretch}{1.15} +\makeatletter +\setlength{\@fptop}{0pt} +\setlength{\@fpsep}{5ex} +\makeatother + +\begin{document} +\maketitle + +\section{Variablen} + +\begin{enumerate} +\item Erzeuge zwei Variablen \verb+a, b+ und weise ihnen + unterschiedliche Werte zu. Schlie{\ss}e die Zeilen mit einem + Semikolon ab. +\item Lasse die Werte der Variablen ausgeben. +\item F\"uhre einfache mathematische Operationen aus (Addition, + Subtraktion, etc.) Potenzierung erfolgt \"uber das Dach Symbol + \verb+^+). Stelle fest, ob sich der der urspruengliche Wert der + Variable ge\"andert hat. +\item Benuzte die Kommandozeile um herauszufinden, welche Variablen + es im Workspace gibt. +\item Finde in der Hilfe mehr Information \"uber das \verb+clear+ Kommando. +\item L\"osche eine Variable. +\item L\"osche alle \"ubrigen Variablen. +\item Berechne die Fakult\"at von 5 indem eine Variable \verb+x+ + erzeugt wird und ihr der Wert 1 zugewiesen wird. In einzelenen + Schritten wird x jeweils das Ergebnis des vorherigen Schrittes + zugewiesen. +\end{enumerate} + +\newpage +\section{Vektoren und Matrizen} +\subsection{Vektoren} + \begin{enumerate} + \item Erzeuge Vektoren: + \begin{enumerate} + \item Von 1 bis 10 in ganzzahligen Schritten. + \item $2:20$ in 2er Schritten. + \item mit absteigendem Inhalt von 100 bis 0. + \item In 100 Schritten von 0 bis $2\pi$ ($\pi$ ist als Konstante 'pi' + in Matlab definiert). + \end{enumerate} + \item Erzeuge eine Variable und speichere etwas Text in ihr sodass + mindestens 2 Worte vorhanden + sind. \\ (\verb+x = 'some text'+). Benutze die Indizierung um die + Woerter einzeln auszugeben. + \item Definiere zwei Vektoren: \verb+x = [3 2 6 8];+ and \verb+y = [4; 1; 3; 5];+ + \begin{enumerate} + \item ... addiere 5 zu jedem Element von \verb+x+. + \item ... addiere 3 zu jedem Element zu jedem Element von y, dass einen nicht gerade Index hat. + \item ... multipliziere jedes Element von \verb+x+ mit dem + entsprechenden Element in \verb+y+ und weise das Ergebnis der + Variable \verb+z+ zu. + \end{enumerate} + \end{enumerate} + +\newpage +\subsection{Matrizen} + \begin{enumerate} + \item Erstelle eine 5 x 5 Matrix die Zufallszahlen enth\"alt (nutze die + MATLAB Funktion \verb+randn()+, benutze die Hilfe. Was macht sie?). + \begin{enumerate} + \item Gib alle Elemente der ersten Zeile aus. + \item Gib alle Elemente der zweiten Spalte aus. + \item Greife mit einem einzigen Kommando auf die Elemnte jeder + 2. Spalte zu und speichere die Daten in einer neuen Variable. + \end{enumerate} + \item Erstelle eine 3-D Matrix aus drei 2-D Matrizen. Benutze die + \verb+cat()+ Funktion f\"ur diesen Zweck ( schaue in der Hilfe + nach, wie sie benutzt wird). + \begin{enumerate} + \item Gib alle Elemente des ersten ``Blattes'' aus (Index 1 in der 3. Dimension). + \end{enumerate} + \item Erstelle eine 3-D Matrix mithilfe der Funktion + \verb+ones()+. Multipliziere das erste Blatt mit 1, das zweite mit + 2, dritte mit 3 etc. + \item Erstelle folgende Variablen \verb+x = [1 5 9]+ and + \verb+y = [7 1 5]+ und \verb+M = [3 1 6; 5 2 7]+. Welche der + folgenden Operationen funktionieren? Wenn nicht, warum + funktioneieren sie nicht? Teste Deine Vorhersagen. + \begin{enumerate} + \item \begin{verbatim} x + y \end{verbatim} + \item \begin{verbatim} x * M \end{verbatim} + \item \begin{verbatim} x + y' \end{verbatim} + \item \begin{verbatim} M - [x y] \end{verbatim} + \item \begin{verbatim} [x; y] \end{verbatim} + \item \begin{verbatim} M - [x; y] \end{verbatim} + \end{enumerate} + \item Erzeuge eine 5 x 5 x 5 Matrix die mit ganzzahligen + Zufallszahlen zwischen 0 und 100 gefuellt ist. + \begin{enumerate} + \item Berechne den Mittelwert aller Bl\"atter dieser Matrix (benutze \verb+mean()+, siehe Hilfe). + \end{enumerate} + \end{enumerate} + +\newpage +\section{Boolesche Operationen} +\begin{enumerate} + \item Gegeben sind \verb+x = (1:10)+ und + \verb+y = [3 1 5 6 8 2 9 4 7 0]+. Try to understand the following + commands. + \begin{enumerate} + \item \verb+x( (y <= 2) )+ + \item \verb+x( (x > 2) | (y < 8) )+ + \item \verb+x( (x == 0) \& (y == 0) )+ + \end{enumerate} + \item Erzeuge eine 100x100 2-D Matrix mit Zufallswerten zwischen 0 und 100 (\verb+randi+). Ersetze \verb+x < 33+ mit 0, \verb+x >= 33 und x < 66+ mit 1 und alle \verb+x >= 66+ auf 2. + \item Ermittle die Anzahl Elemente fuer jede Klasse mithilfe eines Booleschen Ausdrucks. +\end{enumerate} + + +\section{Logische Indizierung} +\begin{enumerate} + \item Gegeben sind \verb+x = (1:10)+ und + \verb+y = [3 1 5 6 8 2 9 4 7 0]+. Try to understand the following + commands. + \begin{enumerate} + \item \verb+x( (y <= 2) )+ + \item \verb+x( (x > 2) | (y < 8) )+ + \item \verb+x( (x == 0) \& (y == 0) )+ + \end{enumerate} + \item Erzeuge eine 100x100 2-D Matrix mit Zufallswerten zwischen 0 und 100 (\verb+randi+). Ersetze \verb+x < 33+ mit 0, \verb+x >= 33 und x < 66+ mit 1 und alle \verb+x >= 66+ auf 2. + \item Ermittle die Anzahl Elemente fuer jede Klasse mithilfe eines Booleschen Ausdrucks. +\end{enumerate} + +\newpage +\section{Kontrollstrukturen} + +\begin{enumerate} + \item Erzeuge einen Vektor 'x' mit z.B. 50 Zufallszahlen im Bereich 0 - 10. + \begin{enumerate} + \item Benutze eine Schleife um das arithmetische Mittel zu berechnen. Der Mittelwert ist definiert als: + $\overline{x}=\frac{1}{n}\sum\limits_{i=0}^{n}x_i $. + \item Benutze eine Schleife um die Standardabweichung zu bestimmen: + $\sigma=\sqrt{\frac{1}{n}\sum\limits_{i=0}^{n}(x_i-\overline{x})^2}$). + \item Suche in der MATLAB Hilfe nach Funktionen, die das fuer dich tuen :-). + \end{enumerate} + \item Erzeuge eine 5 x 5 x 5 Matrix mit Zufallszahlen. + \begin{enumerate} + \item Benutze eine for Schleife um nacheinander die Elemente jedes ``Blattes'' einzeln auszugeben. + \item Das gleich mit einer while-Schleife. + \end{enumerate} + \item Erstelle 'x' einen Vektor mit 10 Zufallszahlen im Bereich 0:10. + \begin{enumerate} + \item Benutze eine for-Schleife um all die Elemente zu loeschen, + die (\verb+x(index) = [];+) kleiner als 5 sind. + \item Loesche alle Elemente die kleiner als 5 und groesser als 2 sind. + \item Kann man das gleiche auch ohne eine Schleife erledigen? + \end{enumerate} + \item Teste den Zufallsgenerator! Dazu zaehle die Anzahl der + Elemente, die durch folgende Grenzen getrennt werden [0.2 0.4 0.6 + 0.8 1.0]. Speichere die Ergebnisse in einem passenden + Vektor. Nutze eine Schleife um 1000 Zufallszahlen mit + \verb+rand()+ (siehe Hilfe) zu ziehen. Was waere die Erwartung, + was kommt heraus? +\end{enumerate} + + +\end{document} + diff --git a/programming/exercises/pyramidal_baseline.mat b/programming/exercises/pyramidal_baseline.mat new file mode 100644 index 0000000000000000000000000000000000000000..b70238bc19a33904a5c2884d9e29b89c573107f0 GIT binary patch literal 2400184 zcmbTjk|*)5@5Q%)uI7K9T5#GYAb>(Fp9)o%b)>K$$$&E zw@V^!aiWPrgt6WCID$d+MbmDGM$JTt;+DMk=dP}Ke}Dhxy6Wogs_*hV&pGEl_qosW zt$E1g=p!df3-`U}#)XGWj=skUPkZL^3!9($#OIuF^0QAocwx)Qr#$U>cVD>wvyXq` zbB=%V!pSEcym0hWPhEJ}anD&;`16JR4?1}NjR)WN-V68Mxc>p8{~!OZb;Lt%l+!l8 z{SKq+=I5Sy?XiBD-PixVR(`Jj*9_W?$dj^-f*i;9oND+ z2le-b*FCU5owxj)Lx$l$A3S(($9I>8t^f0oj>-9>r#-S`T)X0cVfwDaJ0Hh)4!QTv zgL3{659<9l?mVj3@!96*KYrNu^20iJ<1_z_pE`0F9ensO{OM60i@%L+=QEz(wOYQ; z^M;kXJ!IH=kH-!h_gn5~=DhO;M|9oX-`XzR_M~C+3yvQ)ocq|`$N5{naophiorgYd z*s?@8!MD>P=tJzjwarxx?C~C--ybjNbUP{_eh8 zU;U!~zUO;iK6tr?_xHZ+wA#`+;YkRy&u2kA8a?e-+g9&{`-T59Ur=H zeR|_3?l*hyD|hR8uCcJX*lRo2IJW%N5%nv+EnfH%KNdrL)>!x~-}Tz?+Hw8Gdwfr< 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