From 6c27c97d85439ede14a85bd789e003923c8b1176 Mon Sep 17 00:00:00 2001
From: Peter Gerwinski <peter.gerwinski@hs-bochum.de>
Date: Wed, 3 May 2023 21:52:43 +0200
Subject: [PATCH] Vorbereitung 4.5.2023

---
 20230504/Zeichen_123.pdf                     |   1 +
 20230504/ad-20230504.pdf                     | Bin 0 -> 151139 bytes
 20230504/ad-20230504.tex                     | 417 +++++++++++++++++++
 20230504/logo-hochschule-bochum-cvh-text.pdf |   1 +
 20230504/logo-hochschule-bochum.pdf          |   1 +
 20230504/pgslides.sty                        |   1 +
 6 files changed, 421 insertions(+)
 create mode 120000 20230504/Zeichen_123.pdf
 create mode 100644 20230504/ad-20230504.pdf
 create mode 100644 20230504/ad-20230504.tex
 create mode 120000 20230504/logo-hochschule-bochum-cvh-text.pdf
 create mode 120000 20230504/logo-hochschule-bochum.pdf
 create mode 120000 20230504/pgslides.sty

diff --git a/20230504/Zeichen_123.pdf b/20230504/Zeichen_123.pdf
new file mode 120000
index 0000000..fdbc897
--- /dev/null
+++ b/20230504/Zeichen_123.pdf
@@ -0,0 +1 @@
+../common/Zeichen_123.pdf
\ No newline at end of file
diff --git a/20230504/ad-20230504.pdf b/20230504/ad-20230504.pdf
new file mode 100644
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diff --git a/20230504/ad-20230504.tex b/20230504/ad-20230504.tex
new file mode 100644
index 0000000..4a99310
--- /dev/null
+++ b/20230504/ad-20230504.tex
@@ -0,0 +1,417 @@
+% ad-20230504.pdf - Lecture Slides on Algorithms and Data Structures in C/C++
+% Copyright (C) 2018, 2019, 2020, 2021, 2022, 2023  Peter Gerwinski
+%
+% This document is free software: you can redistribute it and/or
+% modify it either under the terms of the Creative Commons
+% Attribution-ShareAlike 3.0 License, or under the terms of the
+% GNU General Public License as published by the Free Software
+% Foundation, either version 3 of the License, or (at your option)
+% any later version.
+%
+% This document is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this document.  If not, see <http://www.gnu.org/licenses/>.
+%
+% You should have received a copy of the Creative Commons
+% Attribution-ShareAlike 3.0 Unported License along with this
+% document.  If not, see <http://creativecommons.org/licenses/>.
+
+% README: Gruppen, Ringe, Körper
+
+\documentclass[10pt,t]{beamer}
+
+\usepackage{pgslides}
+\usepackage{tikz}
+%\usepackage{rotating}
+
+\newcommand{\underconstruction}{%
+  \begin{picture}(0,0)
+    \color{black}
+    \put(6,-2.2){\makebox(0,0)[b]{\includegraphics[width=1.5cm]{Zeichen_123.pdf}}}
+    \put(6,-2.5){\makebox(0,0)[t]{\shortstack{Änderungen\\vorbehalten}}}
+  \end{picture}}
+
+\title{Algorithmen und Datenstrukturen in C/C++}
+\author{Prof.\ Dr.\ rer.\ nat.\ Peter Gerwinski}
+\date{4.\ Mai 2023}
+
+\begin{document}
+
+\maketitleframe
+
+\nosectionnonumber{\inserttitle}
+
+\begin{frame}
+
+  \shownosectionnonumber
+
+  \begin{itemize}
+    \item[\textbf{1}] \textbf{Einführung}
+      \underconstruction
+      \hfill\makebox(0,0)[br]{\raisebox{2.25ex}{\url{https://gitlab.cvh-server.de/pgerwinski/ad.git}}}
+      \begin{itemize}
+        \vspace*{-\smallskipamount}
+        \item[\dots]
+        \item[1.8] Templates
+        \item[1.9] Container-Templates
+        \item[1.10] Iteratoren
+        \color{medgreen}
+        \item[1.11] Exceptions
+        \item[1.12] Typ-Konversionen
+        \item[1.13] Intelligente Zeiger
+      \end{itemize}
+    \item[\textbf{2}] \textbf{Datenorganisation}
+%      \begin{itemize}
+%        \item Listen, Bäume, Hash-Tabellen, \dots
+%      \end{itemize}
+    \item[\textbf{3}] \textbf{Datenkodierung}
+      \begin{itemize}
+        \item[3.\boldmath$(x^2 - 1)$\hspace*{-2.789em}]\hspace*{2.789em}Mathematische Grundlagen
+      \end{itemize}
+    \item[\textbf{4}] \textbf{Hardwarenahe Algorithmen}
+%      \begin{itemize}
+%        \item FFT, CORDIC, \dots
+%      \end{itemize}
+    \item[\textbf{5}] \textbf{Optimierung}
+%      \begin{itemize}
+%        \item Wegfindung, \dots
+%      \end{itemize}
+    \color{gray}
+    \item[\textbf{6}] \textbf{Numerik}
+  \end{itemize}
+
+\end{frame}
+
+\section{Einführung in C++}
+\setcounter{subsection}{12}
+
+\subsection{Intelligente Zeiger}
+
+\begin{frame}[fragile]
+  \showsection
+  \showsubsection
+
+  \textbf{Warum?}
+  \begin{itemize}
+    \item
+      bereits freigegebene Zeiger werden u.\,U.\ weiterhin verwendet
+    \item
+      Speicherlecks
+    \item
+      uninitialisierte Zeiger
+  \end{itemize}
+
+  \medskip
+
+  \begin{itemize}
+    \item
+      \lstinline{shared_ptr}
+    \item
+      \lstinline{weak_ptr}
+    \item
+      \lstinline{unique_ptr}
+    \item
+      \lstinline{move()}
+  \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+  \showsection
+  \showsubsection
+
+  \textbf{Wie?}
+  \begin{itemize}
+    \item
+      R-Wert-Referenztypen: \lstinline{&&}
+    \item
+      \lstinline{move()}-Funktion
+  \end{itemize}
+
+  \bigskip
+
+  Literatur:
+  \begin{itemize}
+    \item
+      \url{http://thbecker.net/articles/rvalue_references/section_01.html}
+    \item
+      \url{http://www.artima.com/cppsource/rvalue.html}
+  \end{itemize}
+\end{frame}
+
+\setcounter{subsection}{10}
+\subsection{Exceptions}
+
+\begin{frame}[fragile]
+  \showsubsection
+  \begin{lstlisting}
+    try
+    {
+      ...
+      throw <value>;
+      ...
+    }
+    catch (<type> <variable>)
+    {
+      ...
+    }
+    catch ...
+  \end{lstlisting}
+  \vspace*{-4.6cm}\hspace*{5cm}
+  \begin{minipage}{7cm}
+    \begin{itemize}
+      \item
+        Nach den \lstinline{catch()}-Statements wird,
+        soweit nicht anders programmiert, das Programm fortgesetzt.
+      \medskip
+      \item
+        \lstinline{throw;} (ohne Wert):\\
+        an übergeordneten Exception-Handler weiterreichen
+      \medskip
+      \item
+        C-Äquivalent:\\
+        \lstinline{setjmp()}, \lstinline{longjmp()}
+      \medskip
+      \item
+        speziell für \lstinline{<type>}:\\
+        Nachfahren von \lstinline{class exception}
+      \medskip
+      \item
+        veraltet:\\
+        \newterm{dynamic exception specifications}
+    \end{itemize}
+  \end{minipage}
+\end{frame}
+
+\subsection{Typ-Konversionen}
+
+\begin{frame}[fragile]
+  \showsubsection
+
+  \begin{itemize}
+    \item
+      In C:
+      \begin{lstlisting}[gobble=8]
+        char *hello = "Hello, world!";
+        uint64_t address = (uint64_t) hello;
+        printf ("%" PRIu64 "\n", address);
+      \end{lstlisting}
+    \smallskip
+    \item
+      alternative Syntax in C++:
+      \begin{lstlisting}[gobble=8]
+        char *hello = "Hello, world!";
+        uint64_t address = uint64_t (hello);
+        cout << address << endl;
+      \end{lstlisting}
+    \smallskip
+    \item
+      zusätzlich in C++:\\
+      implizite und explizite Typumwandlung zwischen Zeigern auf Klassen\\
+      \lstinline{dynamic_cast<>()}\\
+      \lstinline{static_cast<>()}\\
+      \lstinline{reinterpret_cast<>()}\\
+      \lstinline{const_cast<>()}
+  \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+  \showsubsection
+
+  \url{http://www.cplusplus.com/doc/tutorial/typecasting/}
+
+  \begin{itemize}
+    \item
+      Zuweisung: Zeiger auf abgeleitete Klasse an Zeiger auf Basisklasse\\
+      \textarrow\ implizite Typumwandlung möglich
+    \smallskip
+    \item
+      Zuweisung: Zeiger auf Basisklasse an Zeiger auf abgeleitete Klasse\\
+      \textarrow\ nur explizite Typumwandlung möglich:\\
+      \hspace*{0.76cm}\lstinline{dynamic_cast<>()}, \lstinline{static_cast<>()}
+    \smallskip
+    \item
+      implizite Typumwandlungen in der Klasse definieren:
+      \begin{itemize}
+        \item
+          Initialisierung durch Konstruktor
+        \item
+          Zuweisungs-Operator
+        \item
+          Typumwandlungsoperator
+      \end{itemize}
+    \smallskip
+    \item
+      implizite Typumwandlungen ausschalten:\\
+      Schlüsselwort \lstinline{explicit}
+  \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+  \showsubsection
+
+  \url{http://www.cplusplus.com/doc/tutorial/typecasting/}
+
+  \begin{itemize}
+    \item
+      \lstinline{dynamic_cast<>()}\\
+      Zuweisung: Zeiger auf Basisklasse an Zeiger auf abgeleitete Klasse\\
+      explizite Typumwandlung mit Prüfung, ggf.\ Exception
+    \smallskip
+    \item
+      \lstinline{static_cast<>()}\\
+      Zuweisung: Zeiger auf Basisklasse an Zeiger auf abgeleitete Klasse\\
+      explizite Typumwandlung ohne Prüfung
+    \smallskip
+    \item
+      \lstinline{reinterpret_cast<>()}\\
+      Typumwandlung ohne Prüfung zwischen Zeigern untereinander\\
+      und zwischen Zeigern und Integer-Typen
+    \smallskip
+    \item
+      \lstinline{const_cast<>()}\\
+      "`\lstinline{const}"' ein- bzw.\ ausschalten
+  \end{itemize}
+\end{frame}
+
+\setcounter{section}{2}
+\section{Datenkodierung}
+\subsectionnonumber{\boldmath 3.$(x^2 - 1)$\quad Der Herr der Ringe: Manchmal ist $1 + 1 = 0$.}
+\subsubsectionnonumber{\boldmath 3.$(x^2 - 1).x$\quad Motivation}
+
+\begin{frame}
+
+  \showsection
+  \pause
+  \showsubsectionnonumber
+  \pause
+  \showsubsubsectionnonumber
+
+  Man kann auch mit sehr merkwürdigen Objekten\\
+  wie mit "`ganz normalen"' Zahlen rechnen.
+
+  \pause
+  \bigskip
+  
+  Anwendungen:
+  \begin{itemize}
+    \item Funktionsweise von Computern (\textarrow\ Rechnertechnik)
+    \item Fehlererkennung
+    \item Fehlerkorrektur
+    \item Verschlüsselung
+    \item Digitale Signaturen
+  \end{itemize}
+
+\end{frame}
+
+\subsubsectionnonumber{\boldmath 3.$(x^2 - 1).(x + 1)$\quad Gruppen}
+
+\begin{frame}
+
+  \showsection
+  \showsubsectionnonumber
+  \showsubsubsectionnonumber
+
+  \textbf{Definition:}
+  Sei $G$ eine Menge, $*$ eine Verknüpfung auf $G$.
+  Wenn
+  \begin{itemize}
+    \item
+      $\forall a, b, c \in G$: $(a * b) * c = a * (b * c)$ \quad (Assoziativgesetz),
+    \item
+      $\exists e \in G$: $\forall a \in G$: $a * e = e * a = a$ \quad (neutrales Element),
+    \item
+      $\forall a \in G$: $\exists a^{-1} \in G$: $a * a^{-1} = a^{-1} * a = e$ \quad (inverses Element),
+  \end{itemize}
+  dann heißt $(G,*)$ eine \newterm{Gruppe}.
+
+  \pause
+  \bigskip
+
+  \textbf{Definition:}
+  Sei $(G,*)$ eine Gruppe.
+  Wenn zusätzlich
+  \begin{itemize}
+    \item
+      $\forall a, b \in G$: $a * b = b * a$ \quad (Kommutativgesetz),
+  \end{itemize}
+  dann heißt $(G,*)$ eine \newterm{kommutative Gruppe}.
+
+\end{frame}
+
+\subsubsectionnonumber{\boldmath 3.$(x^2 - 1).(x + 2)$\quad Ringe}
+
+\begin{frame}
+
+%  \showsection
+  \showsubsectionnonumber
+  \showsubsubsectionnonumber
+
+  \textbf{Definition:}
+  Sei $R$ eine Menge; seien $+$ und $\cdot$ Verknüpfungen auf $R$.
+  Wenn
+  \begin{itemize}
+    \item
+      $(R,+)$ eine kommutative Gruppe ist,
+    \item
+      $\forall a, b, c \in R$: $(a \cdot b) \cdot c = a \cdot (b \cdot c)$ \quad (Assoziativgesetz),
+    \item
+      $\forall a, b, c \in R$: $(a + b)\cdot c = a\cdot c + b\cdot c$
+      und $a\cdot(b + c) = a\cdot b + a\cdot c$ \quad (Distributivgesetze),
+  \end{itemize}
+  dann heißt $(R,+,\cdot)$ ein \newterm{Ring}.
+
+  \pause
+  \bigskip
+
+  \textbf{Definition:}
+  Sei $(R,+,\cdot)$ ein Ring.
+  Wenn zusätzlich
+  \begin{itemize}
+    \item
+      $\forall a, b \in R$: $a \cdot b = b \cdot a$ \quad (Kommutativgesetz),
+  \end{itemize}
+  dann heißt $(R,+,\cdot)$ ein \newterm{kommutativer Ring}.
+
+  \pause
+  \bigskip
+
+  \textbf{Definition:}
+  Sei $(R,+,\cdot)$ ein (kommutativer) Ring.
+  Wenn zusätzlich
+  \begin{itemize}
+    \item
+      ein $e \in R$ existiert, so daß für alle $a \in R$ gilt: $a \cdot e = e \cdot a = a$\\
+      (neutrales Element),
+  \end{itemize}
+  dann heißt $(R,+,\cdot)$ ein \newterm{(kommutativer) Ring mit 1}.
+
+  \vspace*{-1cm}
+
+\end{frame}
+
+\subsubsectionnonumber{\boldmath 3.$(x^2 - 1).(x + 3)$\quad Körper}
+
+\begin{frame}
+
+%  \showsection
+  \showsubsectionnonumber
+  \showsubsubsectionnonumber
+
+  \textbf{Definition:}
+  Sei $K$ eine Menge; seien $+$ und $\cdot$ Verknüpfungen auf $K$.
+  Wenn
+  \begin{itemize}
+    \item
+      $(K,+,\cdot)$ ein Ring mit 1 ist und
+    \item
+      $(K \backslash \{0\},\cdot)$ eine kommutative Gruppe ist,
+  \end{itemize}
+  dann heißt $(K,+,\cdot)$ ein \newterm{Körper}.
+
+\end{frame}
+
+\end{document}
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-- 
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