From fd71d40213174f6156aa86bdffbaa7a9ee627a76 Mon Sep 17 00:00:00 2001 From: Peter Gerwinski <peter.gerwinski@hs-bochum.de> Date: Wed, 6 Dec 2023 21:54:21 +0100 Subject: [PATCH] Vorbereitung 7.12.2023 --- 20231130/hp-uebung-20231130.tex | 2 +- 20231207/Tower_of_Hanoi.jpeg | 1 + 20231207/aufgabe-1.c | 18 + 20231207/aufgabe-2.c | 18 + 20231207/hp-20231207.pdf | Bin 0 -> 382848 bytes 20231207/hp-20231207.tex | 440 ++++++++++++++++++ 20231207/hp-musterloesung-20231207.pdf | Bin 0 -> 99958 bytes 20231207/hp-musterloesung-20231207.tex | 378 +++++++++++++++ 20231207/hp-uebung-20231207.pdf | Bin 0 -> 71767 bytes 20231207/hp-uebung-20231207.tex | 223 +++++++++ 20231207/landau-symbols-2.pdf | 1 + 20231207/landau-symbols-3.pdf | 1 + 20231207/landau-symbols.pdf | 1 + 20231207/loesung-1-c-1.c | 15 + 20231207/loesung-1-c-2.c | 15 + 20231207/loesung-1-d-1.c | 34 ++ 20231207/loesung-1-d-2.c | 34 ++ 20231207/loesung-1-e-1.c | 15 + 20231207/loesung-1-e-2.c | 15 + 20231207/loesung-2e.c | 33 ++ 20231207/loesung-2g.c | 46 ++ .../logo-hochschule-bochum-cvh-text-v2.pdf | 1 + 20231207/logo-hochschule-bochum.pdf | 1 + 20231207/pendulum.pdf | 1 + 20231207/pgscript.sty | 1 + 20231207/pgslides.sty | 1 + README.md | 6 + hp-slides-2023ws.pdf | Bin 2020462 -> 2742679 bytes hp-slides-2023ws.tex | 6 +- 29 files changed, 1305 insertions(+), 2 deletions(-) create mode 120000 20231207/Tower_of_Hanoi.jpeg create mode 100644 20231207/aufgabe-1.c create mode 100644 20231207/aufgabe-2.c create mode 100644 20231207/hp-20231207.pdf create mode 100644 20231207/hp-20231207.tex create mode 100644 20231207/hp-musterloesung-20231207.pdf create mode 100644 20231207/hp-musterloesung-20231207.tex create mode 100644 20231207/hp-uebung-20231207.pdf create mode 100644 20231207/hp-uebung-20231207.tex create mode 120000 20231207/landau-symbols-2.pdf create mode 120000 20231207/landau-symbols-3.pdf create mode 120000 20231207/landau-symbols.pdf create mode 100644 20231207/loesung-1-c-1.c create mode 100644 20231207/loesung-1-c-2.c create mode 100644 20231207/loesung-1-d-1.c create mode 100644 20231207/loesung-1-d-2.c create mode 100644 20231207/loesung-1-e-1.c create mode 100644 20231207/loesung-1-e-2.c create mode 100644 20231207/loesung-2e.c create mode 100644 20231207/loesung-2g.c create mode 120000 20231207/logo-hochschule-bochum-cvh-text-v2.pdf create mode 120000 20231207/logo-hochschule-bochum.pdf create mode 120000 20231207/pendulum.pdf create mode 120000 20231207/pgscript.sty create mode 120000 20231207/pgslides.sty diff --git a/20231130/hp-uebung-20231130.tex b/20231130/hp-uebung-20231130.tex index 59ac551..e107bad 100644 --- a/20231130/hp-uebung-20231130.tex +++ b/20231130/hp-uebung-20231130.tex @@ -164,7 +164,7 @@ um die Teilaufgaben (e), (f) und (g). Für den "`Klausur-Modus"' können Sie die Teilaufgaben (a) bis (d) als "`bereits gelöst"' voraussetzen. - Wir betrachten das folgende Programm (\gitfile{hp}{2023ws/20231130}{aufgabe-1.c}): + Wir betrachten das folgende Programm (\gitfile{hp}{2023ws/20231130}{aufgabe-3.c}): % \begin{lstlisting}[style=numbered] \begin{lstlisting} #include <stdio.h> diff --git a/20231207/Tower_of_Hanoi.jpeg b/20231207/Tower_of_Hanoi.jpeg new file mode 120000 index 0000000..a1a794a --- /dev/null +++ b/20231207/Tower_of_Hanoi.jpeg @@ -0,0 +1 @@ +../common/Tower_of_Hanoi.jpeg \ No newline at end of file diff --git a/20231207/aufgabe-1.c b/20231207/aufgabe-1.c new file mode 100644 index 0000000..d0b0659 --- /dev/null +++ b/20231207/aufgabe-1.c @@ -0,0 +1,18 @@ +#include <string.h> + +int fun_1 (char *s) +{ + int x = 0; + for (int i = 0; i < strlen (s); i++) + x += s[i]; + return x; +} + +int fun_2 (char *s) +{ + int i = 0, x = 0; + int len = strlen (s); + while (i < len) + x += s[i++]; + return x; +} diff --git a/20231207/aufgabe-2.c b/20231207/aufgabe-2.c new file mode 100644 index 0000000..15c9056 --- /dev/null +++ b/20231207/aufgabe-2.c @@ -0,0 +1,18 @@ +#include <stdio.h> +#include <string.h> + +void insert_into_string (char src, char *target, int pos) +{ + int len = strlen (target); + for (int i = pos; i < len; i++) + target[i + 1] = target[i]; + target[pos] = src; +} + +int main (void) +{ + char test[100] = "Hochshule Bochum"; + insert_into_string ('c', test, 5); + printf ("%s\n", test); + return 0; +} diff --git a/20231207/hp-20231207.pdf b/20231207/hp-20231207.pdf new file mode 100644 index 0000000000000000000000000000000000000000..f1b861dbf29df728f937d9c68089cb0d57649ee3 GIT binary patch literal 382848 zcmY!laB<T$)HCH$y>R8|4K8CN1p|frq%1BQ8!mmH)V%bP3<YCjQw0d%(s#?uDM>9- z(09v8EJ<}qP0mkA<+8KmDlREXP0Z!0xV1IN*8i}9z}?T<c|L71Z$GDpg=iRT4K+I= zutHdCO2~{wUVp0I)P(3xJ#{3({{HUI)#cM9O%5bX+z@|)`BQ^@W1@n|LQ$?00!5b| z$X+@5>d~co#r7L4?A=|S3Yh_?nBs0<kd=BhS@_$N5PPA`?bi;}h)c!E2D^yuR6D_a 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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: Algorithmen: Aufwandsabschätzungen + +\documentclass[10pt,t]{beamer} + +\usepackage{pgslides} +\usepackage{tikz} + +\newcommand{\redurl}[1]{\href{#1}{\color{red}\nolinkurl{#1}}} + +\title{Hardwarenahe Programmierung} +\author{Prof.\ Dr.\ rer.\ nat.\ Peter Gerwinski} +\date{7.\ Dezember 2023} + +\begin{document} + +\maketitleframe + +\title{Hardwarenahe Programmierung} + +\nosectionnonumber{\inserttitle} + +\begin{frame} + + \shownosectionnonumber + + \begin{itemize} + \item[\textbf{1}] \textbf{Einführung} + \hfill\makebox(0,0)[br]{\raisebox{2.25ex}{\url{https://gitlab.cvh-server.de/pgerwinski/hp}}} + \item[\textbf{2}] \textbf{Einführung in C} + \item[\textbf{3}] \textbf{Bibliotheken} + \item[\textbf{4}] \textbf{Hardwarenahe Programmierung} + \item[\textbf{5}] \textbf{Algorithmen} + \begin{itemize} + \color{medgreen} + \item[5.1] Differentialgleichungen + \item[5.2] Rekursion + \color{red} + \item[5.3] Aufwandsabschätzungen + \end{itemize} + \item[\textbf{6}] \textbf{Objektorientierte Programmierung} + \item[\textbf{7}] \textbf{Datenstrukturen} + \end{itemize} + +\end{frame} + +\setcounter{section}{4} +\section{Algorithmen} +\subsection{Differentialgleichungen} + +\begin{frame}[fragile] + + \showsection + \showsubsection + + \textbf{Beispiel 1: Gleichmäßig beschleunigte Bewegung} + + \strut\hfill + \begin{minipage}{2.5cm} + \vspace*{0.6cm} + \begin{align*} + x'(t) &= v_x(t) \\[0.65cm] + y'(t) &= v_y(t) \\[0.75cm] + v_x'(t) &= 0 \\[0.65cm] + v_y'(t) &= -g + \end{align*} + \vspace*{0.0cm} + \end{minipage}% +% \only<1>{\hspace*{9.49cm}}\strut + \only<1>{\hfill$\Rightarrow$\hfill}% + \begin{onlyenv}<1> + \begin{minipage}{8.3cm} + \begin{align*} + x(t) &= \int v_x(t)\,dt + \visible<1->{= \int v_{0x}\,dt} + \visible<1->{= x_0 + v_{0x}\cdot t}\\[\medskipamount] + y(t) &= \int v_y(t)\,dt + \visible<1->{= \int v_{0y} - g\cdot t\,dt} + \visible<1->{= y_0 + v_{0y}\cdot t + - {\textstyle\frac12}gt^2}\\[\bigskipamount] + v_x(t) &= \int 0\,dt + \visible<1->{= v_{0x}} \\[\medskipamount] + v_y(t) &= \int -g\,dt + \visible<1->{= v_{0y} - g\cdot t} + \end{align*} + \end{minipage}% + \end{onlyenv}% + \begin{onlyenv}<2> + \begin{minipage}{3.5cm} + \vspace*{0.5cm} + \begin{lstlisting}[gobble=8,xleftmargin=0.5em] + ¡x += vx * dt;¿ + \end{lstlisting} + \vspace{0.75cm} + \begin{lstlisting}[gobble=8,xleftmargin=0.5em] + ¡y += vy * dt;¿ + \end{lstlisting} + \vspace{0.90cm} + \begin{lstlisting}[gobble=8,xleftmargin=0.5em] + ¡vx += 0 * dt;¿ + \end{lstlisting} + \vspace{0.75cm} + \begin{lstlisting}[gobble=8,xleftmargin=0.5em] + ¡vy += -g * dt;¿ + \end{lstlisting} + \end{minipage}% + \begin{minipage}{5.13cm} +% Siehe: \file{gtk-13.c} + \strut + \end{minipage} + \end{onlyenv}% + \hfill\strut + +\end{frame} + +\begin{frame}[fragile] + \showsection + \showsubsection + + \textbf{Beispiel 1: Gleichmäßig beschleunigte Bewegung} + + \medskip + + \textbf{Beispiel 2: Mathematisches Pendel} + + \vspace*{-2\bigskipamount} + + \begin{picture}(0,0) + \put(8,-6.5){\includegraphics{pendulum.pdf}} + \end{picture} + + \begin{eqnarray*} + \varphi'(t) &=& \omega(t) \\[\smallskipamount] + \omega'(t) &=& -\frac{g}{l}\cdot\sin\varphi(t)\hspace*{7.1cm} + \end{eqnarray*} + \vspace*{-1.5\medskipamount} + \begin{itemize} + \item + Von Hand (analytisch):\\ + Lösung raten (Ansatz), Parameter berechnen + \item + Mit Computer (numerisch):\\ + Eulersches Polygonzugverfahren + \end{itemize} + \smallskip + \begin{lstlisting}[gobble=0] + phi += dt * omega; + omega += - dt * g / l * sin (phi); + \end{lstlisting} + +% \pause + \bigskip + + \textbf{Beispiel 3: Weltraum-Simulation} + + Praktikumsaufgabe + \vspace*{-1cm} + +\end{frame} + +\subsection{Rekursion} + +\begin{frame}[fragile] + + \showsubsection + + Vollständige Induktion: + \vspace*{-0.725cm} + \begin{displaymath} + \hspace*{4cm} + \left. + \begin{array}{r} + \mbox{Aussage gilt für $n = 1$}\\[2pt] + \mbox{Schluß von $n - 1$ auf $n$} + \end{array} + \right\} + \mbox{Aussage gilt für alle $n\in\mathbb{N}$} + \end{displaymath} + \vspace*{-0.5cm} + + \pause + + Türme von Hanoi + + \begin{onlyenv}<2> + \begin{center} + \includegraphics[width=12.2cm]{Tower_of_Hanoi.jpeg} + \end{center} + \end{onlyenv} + + \begin{onlyenv}<3-> + \begin{itemize} + \item + 64 Scheiben, 3 Plätze, + \only<3-4>{\hfill\makebox(0,0)[rt]{\includegraphics[width=6cm]{Tower_of_Hanoi.jpeg}}}\\ + immer 1 Scheibe verschieben + \item + Ziel: Turm verschieben + \item + Es dürfen nur kleinere Scheiben\\ + auf größeren liegen. + \bigskip + \pause + \pause + \item + $n = 1$ Scheibe: fertig + \item + Wenn $n - 1$ Scheiben verschiebbar:\\ + schiebe $n - 1$ Scheiben auf Hilfsplatz,\\ + verschiebe die darunterliegende,\\ + hole $n - 1$ Scheiben von Hilfsplatz + \end{itemize} + \begin{onlyenv}<5> + \vspace{-4.3cm} + \begin{lstlisting}[gobble=8,xleftmargin=6.4cm] + void move (int from, int to, int disks) + { + if (disks == 1) + move_one_disk (from, to); + else + { + int help = 0 + 1 + 2 - from - to; + move (from, help, disks - 1); + move (from, to, 1); + move (help, to, disks - 1); + } + } + \end{lstlisting} + \end{onlyenv} +% \begin{onlyenv}<6-> +% \vspace{-5.0cm} +% \hspace*{7.4cm}\begin{minipage}[t]{5cm} +% 32 Scheiben: +% \begin{lstlisting}[gobble=10,style=terminal] +% $ ¡time ./hanoi-9b¿ +% ... +% real 0m30,672s +% user 0m30,662s +% sys 0m0,008s +% \end{lstlisting} +% \pause[7] +% \begin{itemize} +% \arrowitem +% etwas über 1 Minute\\ +% für 64 Scheiben +% \end{itemize} +% \pause +% \vspace*{-0.5cm} +% \begin{picture}(0,0) +% \color{red} +% \put(0,0){\makebox(0,0)[bl]{\tikz[line width=1pt]{\draw(0,0)--(4,0.8);}}} +% \put(0,0.8){\makebox(0,0)[tl]{\tikz[line width=1pt]{\draw(0,0)--(4,-0.8);}}} +% \end{picture} +% +% Für jede zusätzliche Scheibe\\verdoppelt sich die Rechenzeit! +% % 30.672 * 2^32 / 3600 / 24 / 365.25 = 4174.43775518138261464750 +% \begin{itemize} +% \arrowitem +% $\frac{30,672\,\text{s}\,\cdot\,2^{32}}{3600\,\cdot\,24\,\cdot\,365,25} \approx 4174$ +% Jahre\\[\smallskipamount] +% für 64 Scheiben +% \end{itemize} +% \end{minipage} +% \end{onlyenv} + \end{onlyenv} + +\end{frame} + +\subsection{Aufwandsabschätzungen \protect\color{gray}-- Komplexitätsanalyse} + +\begin{frame}[fragile] + +% \newcommand{\w}{\hspace*{0.75pt}} + + \showsubsection + + \begin{picture}(0,0) + \put(7.6,-0.5){% + \begin{minipage}[t]{5.3cm} +% \vspace*{-1.0cm}\includegraphics{landau-symbols.pdf} + \vspace*{-1.0cm}\alt<16->{\includegraphics{landau-symbols-3.pdf}}% + {\alt<15->{\includegraphics{landau-symbols-2.pdf}}% + {\includegraphics{landau-symbols.pdf}}} + \small + \begin{description}\itemsep0pt\leftskip-0.5cm + \item[$n$:] Eingabedaten + \item[$g(n)$:] Rechenzeit + \end{description} + \end{minipage}} + \end{picture} + + \vspace*{-\bigskipamount} + + Wann ist ein Programm "`schnell"'? + + \medskip + + \begin{onlyenv}<1-2> + Türme von Hanoi: $\mathcal{O}(2^n)$ + \par\medskip + Für jede zusätzliche Scheibe\\verdoppelt sich die Rechenzeit! + \begin{itemize} + \arrowitem + $\frac{30,672\,\text{s}\,\cdot\,2^{32}}{3600\,\cdot\,24\,\cdot\,365,25} \approx 4174$ + Jahre\\[\smallskipamount] + für 64 Scheiben + \end{itemize} + + \bigskip + \end{onlyenv} + + \begin{onlyenv}<2-> + Faustregel:\\Schachtelung der Schleifen zählen\\ + $k$ Schleifen ineinander \textarrow\ $\mathcal{O}(n^k)$ + + \bigskip + \end{onlyenv} + + \begin{onlyenv}<3-13> + \textbf{Beispiel: Sortieralgorithmen} + + \smallskip + + Anzahl der Vergleiche bei $n$ Strings + \begin{itemize} + \item + Maximum suchen \pause[4]mit Schummeln\pause: $\mathcal{O}(1)$ + \pause + \item + Maximum suchen\pause: $\mathcal{O}(n)$ + \pause + \item + Selection-Sort\pause: $\mathcal{O}(n^2)$ + \pause + \item + Bubble-Sort\pause: $\mathcal{O}(n)$ bis $\mathcal{O}(n^2)$ + \pause + \item + Quicksort\pause: $\mathcal{O}(n\log n)$ bis $\mathcal{O}(n^2)$ + \end{itemize} + + \end{onlyenv} + + \begin{onlyenv}<14> + \textbf{Wie schnell ist RSA-Verschlüsselung?} + + \smallskip + + \begin{math} + c = m^e\,\%\,N + \end{math} + \quad + ("`$\%$"' = "`modulo"') + + \medskip + + \begin{lstlisting}[gobble=6,xleftmargin=2em] + int c = 1; + for (int i = 0; i < e; i++) + c = (c * m) % N; + \end{lstlisting} + + \smallskip + + \begin{itemize} + \item + $\mathcal{O}(e)$ Iterationen +% \item +% wenn $n$ die Anzahl der Binärziffern (Bits) von $e$ ist: +% $\mathcal{O}(2^n)$ Iterationen + \item + mit Trick: + $\mathcal{O}(\log e)$ Iterationen ($\log e$ = Anzahl der Ziffern von $e$) + \end{itemize} + + \smallskip + + Jede Iteration enthält eine Multiplikation und eine Division.\\ + Aufwand dafür: $\mathcal{O}(\log e)$\\ + \textarrow\ Gesamtaufwand: $\mathcal{O}\bigl((\log e)^2\bigr)$ + + \end{onlyenv} + + \begin{onlyenv}<15-> + + \textbf{Wie schnell ist RSA?}\\ + + \smallskip + + ($n$ = typische beteiligte Zahl, z.\,B. $e,p,q$) + + \begin{itemize} + \item + Ver- und Entschlüsselung (Exponentiation):\\ + \strut\hbox to 3.5cm{\color{red}$\mathcal{O}\!\left((\log n)^2\right)$\hss} + \only<16->{{\color{magenta}$\mathcal{O}(n^2)$}} + \item + Schlüsselerzeugung (Berechnung von $d$):\\ + \strut\hbox to 3.5cm{\color{red}$\mathcal{O}\!\left((\log n)^2\right)$\hss} + \only<16->{{\color{magenta}$\mathcal{O}(n^2)$}} + \item + Verschlüsselung brechen (Primfaktorzerlegung):\\ + \strut\hbox to 3.5cm{\color{red}$\mathcal{O}\bigl(2^{\sqrt{\log n\,\cdot\,\log\log n}}\bigr)$\hss} + \only<16->{{\color{magenta}$\mathcal{O}\bigl(2^{\sqrt{n\log n}}\bigr)$}} + \end{itemize} + + \vspace{0cm plus 1filll} + + \textbf{Die Sicherheit von RSA beruht darauf, + daß das Brechen der Verschlüsselung aufwendiger ist als + \boldmath$\mathcal{O}\bigl((\log n)^k\bigr)$ (für beliebiges $k$).} + + \vspace*{0.65cm} + + \end{onlyenv} + +\end{frame} + +\end{document} diff --git a/20231207/hp-musterloesung-20231207.pdf b/20231207/hp-musterloesung-20231207.pdf new file mode 100644 index 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b/20231207/hp-musterloesung-20231207.tex new file mode 100644 index 0000000..466142c --- /dev/null +++ b/20231207/hp-musterloesung-20231207.tex @@ -0,0 +1,378 @@ +% hp-musterloesung-20231207.pdf - Solutions to the Exercises on Low-Level Programming / Applied Computer Sciences +% Copyright (C) 2013, 2015, 2016, 2017, 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: Länge von Strings, Einfügen in Strings (Ergänzung) + +\documentclass[a4paper]{article} + +\usepackage{pgscript} +\usepackage{gnuplot-lua-tikz} + +\begin{document} + + \section*{Hardwarenahe Programmierung\\ + Musterlösung zu den Übungsaufgaben -- 7.\ Dezember 2023} + + \exercise{Länge von Strings} + + Strings werden in der Programmiersprache C durch Zeiger auf \lstinline{char}-Variable realisiert. + + Beispiel: \lstinline{char *hello_world = "Hello, world!\n"} + + Die Systembibliothek stellt eine Funktion \lstinline{strlen()} zur Ermittlung der Länge von Strings\\ + zur Verfügung (\lstinline{#include <string.h>}). + + \begin{enumerate}[\quad(a)] + \item + Auf welche Weise ist die Länge eines Strings gekennzeichnet? + \points{1} + \item + Wie lang ist die Beispiel-String-Konstante \lstinline{"Hello, world!\n"}, + und wieviel Speicherplatz belegt sie?\\ + \points{2} + \item + Schreiben Sie eine eigene Funktion \lstinline{int strlen (char *s)}, + die die Länge eines Strings zurückgibt.\\ + \points{3} + \end{enumerate} + + \goodbreak + + Wir betrachten nun die folgenden Funktionen (Datei: \gitfile{hp}{2023ws/20231207}{aufgabe-1.c}): + \begin{center} + \begin{minipage}{8cm} + \begin{lstlisting}[gobble=8] + int fun_1 (char *s) + { + int x = 0; + for (int i = 0; i < strlen (s); i++) + x += s[i]; + return x; + } + \end{lstlisting} + \end{minipage}% + \begin{minipage}{6cm} + \vspace*{-1cm} + \begin{lstlisting}[gobble=8] + int fun_2 (char *s) + { + int i = 0, x = 0; + int len = strlen (s); + while (i < len) + x += s[i++]; + return x; + } + \end{lstlisting} + \vspace*{-1cm} + \end{minipage} + \end{center} + \begin{enumerate}[\quad(a)]\setcounter{enumi}{3} + \item + Was bewirken die beiden Funktionen? + \points{2} + \item + Schreiben Sie eine eigene Funktion, + die dieselbe Aufgabe erledigt wie \lstinline{fun_2()},\\ + nur effizienter. + \points{4} + \item + Von welcher Ordnung (Landau-Symbol) sind die beiden Funktionen + hinsichtlich der Anzahl ihrer Zugriffe auf die Zeichen im String? + Begründen Sie Ihre Antwort. + Sie dürfen für \lstinline{strlen()} Ihre eigene Version der Funktion voraussetzen. + \points{3} + \item + Von welcher Ordnung (Landau-Symbol) ist Ihre effizientere Funktion?\\ + Begründen Sie Ihre Antwort. + \points{1} + \end{enumerate} + + \solution + + \begin{itemize} + \item[(a)] + \textbf{Auf welche Weise ist die Länge eines Strings gekennzeichnet?} + + Ein String ist ein Array von \lstinline{char}s. + Nach den eigentlichen Zeichen des Strings enthält das Array + \textbf{ein Null-Symbol} (Zeichen mit Zahlenwert 0, + nicht zu verwechseln mit der Ziffer \lstinline{'0'}) als Ende-Markierung. + Die Länge eines Strings ist die Anzahl der Zeichen + \emph{vor\/} diesem Symbol. + + \item[(b)] + {\bf Wie lang ist die Beispiel-String-Konstante \lstinline{"Hello, world!\n"}, + und wieviel Speicherplatz belegt sie?} + + Sie ist 14 Zeichen lang (\lstinline{'\n'} ist nur 1 Zeichen; + das Null-Symbol, das das Ende markiert, zählt hier nicht mit) + und belegt Speicherplatz für 15 Zeichen + (15 Bytes -- einschließlich Null-Symbol / Ende-Markierung). + + \item[(c)] + \textbf{Schreiben Sie eine eigene Funktion \lstinline{int strlen (char *s)}, + die die Länge eines Strings zurückgibt.} + + Siehe die Dateien \gitfile{hp}{2023ws/20231207}{loesung-1c-1.c} (mit Array-Index) + und \gitfile{hp}{2023ws/20231207}{loesung-1c-2.c} (mit Zeiger-Arithmetik). + Beide Lösungen sind korrekt und arbeiten gleich schnell. + + Die Warnung \lstinline[style=terminal]{conflicting types for built-in function "strlen"} + kann normalerweise ignoriert werden; + auf manchen Systemen (z.\,B.\ MinGW) hat jedoch die eingebaute Funktion \lstinline{strlen()} + beim Linken Vorrang vor der selbstgeschriebenen, + so daß die selbstgeschriebene Funktion nie aufgerufen wird. + In solchen Fällen ist es zulässig, die selbstgeschriebene Funktion + anders zu nennen (z.\,B.\ \lstinline{my_strlen()}). + + \item[(d)] + \textbf{Was bewirken die beiden Funktionen?} + + Beide addieren die Zahlenwerte der im String enthaltenen Zeichen + und geben die Summe als Funktionsergebnis zurück. + + Im Falle des Test-Strings \lstinline{"Hello, world!\n"} + lautet der Rückgabewert 1171 (siehe \gitfile{hp}{2023ws/20231207}{loesung-1d-1.c} und \gitfile{hp}{2023ws/20231207}{loesung-1d-2.c}). + + \item[(e)] + \textbf{Schreiben Sie eine eigene Funktion, + die dieselbe Aufgabe erledigt wie \lstinline{fun_2()}, + nur effizienter.} + + Die Funktion wird effizienter, + wenn man auf den Aufruf von \lstinline{strlen()} verzichtet + und stattdessen die Ende-Prüfung in derselben Schleife vornimmt, + in der man auch die Zahlenwerte der Zeichen des Strings aufsummiert. + + Die Funktion \lstinline{fun_3()} in der Datei \gitfile{hp}{2023ws/20231207}{loesung-1e-1.c} + realisiert dies mit einem Array-Index, + Die Funktion \lstinline{fun_4()} in der Datei \gitfile{hp}{2023ws/20231207}{loesung-1e-2.c} + mit Zeiger-Arithmetik. + Beide Lösungen sind korrekt und arbeiten gleich schnell. + + \textbf{Bemerkung:} Die effizientere Version der Funktion + arbeitet doppelt so schnell wie die ursprüngliche, + hat aber ebenfalls die Ordnung $\mathcal{O}(n)$ -- siehe unten. + + \item[(f)] + \textbf{Von welcher Ordnung (Landau-Symbol) sind die beiden Funktionen + hinsichtlich der Anzahl ihrer Zugriffe auf die Zeichen im String? + Begründen Sie Ihre Antwort. + Sie dürfen für \lstinline{strlen()} Ihre eigene Version der Funktion voraussetzen.} + + Vorüberlegung: \lstinline{strlen()} greift in einer Schleife + auf alle Zeichen des Strings der Länge $n$ zu, + hat also $\mathcal{O}(n)$. + + \lstinline{fun_1()} ruft in jedem Schleifendurchlauf + (zum Prüfen der \lstinline{while}-Bedingung) einmal \lstinline{strlen()} auf + und greift anschließend auf ein Zeichen des Strings zu, + hat also $\mathcal{O}\bigl(n\cdot(n+1)\bigr) = \mathcal{O}(n^2)$. + + \lstinline{fun_2()} ruft einmalig \lstinline{strlen()} auf + und greift anschließend in einer Schleife auf alle Zeichen des Strings zu, + hat also $\mathcal{O}(n+n) = \mathcal{O}(n)$. + + \item[(g)] + \textbf{Von welcher Ordnung (Landau-Symbol) ist Ihre effizientere Funktion?\\ + Begründen Sie Ihre Antwort.} + + In beiden o.\,a.\ Lösungsvarianten + -- \gitfile{hp}{2023ws/20231207}{loesung-1e-1.c} + und \gitfile{hp}{2023ws/20231207}{loesung-1e-2.c} -- + arbeitet die Funktion mit einer einzigen Schleife, + die gleichzeitig die Zahlenwerte addiert und das Ende des Strings sucht. + + Mit jeweils einer einzigen Schleife + haben beide Funktionen die Ordnung $\mathcal{O}(n)$. + + \end{itemize} + + \exercise{Einfügen in Strings (Ergänzung)} + + Diese Aufgabe ist eine Ergänzung von Aufgabe 3 der Übung vom 31.\ Oktober + 2022 um die Teilaufgaben (e), (f) und (g). Für den "`Klausur-Modus"' können + Sie die Teilaufgaben (a) bis (d) als "`bereits gelöst"' voraussetzen. + + Wir betrachten das folgende Programm (\gitfile{hp}{2023ws/20231207}{aufgabe-2.c}): +% \begin{lstlisting}[style=numbered] + \begin{lstlisting} + #include <stdio.h> + #include <string.h> + + void insert_into_string (char src, char *target, int pos) + { + int len = strlen (target); + for (int i = pos; i < len; i++) + target[i+1] = target[i]; + target[pos] = src; + } + + int main (void) + { + char test[100] = "Hochshule Bochum"; + insert_into_string ('c', test, 5); + printf ("%s\n", test); + return 0; + } + \end{lstlisting} + Die Ausgabe des Programms lautet: + \lstinline[style=terminal]{Hochschhhhhhhhhhh} + + \begin{enumerate}[\quad(a)] + \item + Erklären Sie, wie die Ausgabe zustandekommt. +% \points{3} +% \workspace{12} + \item + Schreiben Sie die Funktion \lstinline|insert_into_string()| so um, + daß sie den Buchstaben \lstinline{src} an der Stelle \lstinline{pos} + in den String \lstinline{target} einfügt.\par + Die Ausgabe des Programms müßte dann + \lstinline[style=terminal]{Hochschule Bochum} lauten. +% \points{2} +% \workspace{13} + \item + Was kann passieren, wenn Sie die Zeile + \lstinline{char test[100] = "Hochshule Bochum";}\\ + durch + \lstinline{char test[] = "Hochshule Bochum";} ersetzen? + Begründen Sie Ihre Antwort. +% \points{2} +% \workspace{10} + \item + Was kann passieren, wenn Sie die Zeile + \lstinline{char test[100] = "Hochshule Bochum";}\\ + durch + \lstinline{char *test = "Hochshule Bochum";} ersetzen? + Begründen Sie Ihre Antwort. +% \points{2} +% \workspace{10} + \item + Schreiben Sie eine Funktion + \lstinline{void insert_into_string_sorted (char src, char *target)}, + die voraussetzt, daß der String \lstinline{target} alphabetisch sortiert ist + und den Buchstaben \lstinline{src} an der alphabetisch richtigen Stelle + einfügt. Diese Funktion darf die bereits vorhandene Funktion + \lstinline|insert_into_string()| aufrufen.\\ + \points{4}\par + Zum Testen eignen sich die folgenden Zeilen im Hauptprogramm: + \begin{lstlisting}[gobble=8] + char test[100] = ""; + insert_into_string_sorted ('c', test); + insert_into_string_sorted ('a', test); + insert_into_string_sorted ('d', test); + insert_into_string_sorted ('b', test); + \end{lstlisting} + Danach sollte \lstinline{test[]} die Zeichenfolge \lstinline{"abcd"} enthalten. +% \workspace{14} + \goodbreak + \item + Wie schnell (Landau-Symbol in Abhängigkeit von der Länge $n$ des Strings) + arbeitet Ihre Funktion + \lstinline{void insert_into_string_sorted (char src, char *target)}? + Begründen Sie Ihre Antwort. + \points{1} +% \workspace{10} + \item + Beschreiben Sie -- in Worten oder als C-Quelltext --, wie man die Funktion\\ + \lstinline{void insert_into_string_sorted (char src, char *target)} + so gestalten kann,\\ + daß sie in $\mathcal{O}(\log n)$ arbeitet. + \points{3} +% \workspace{35} + \end{enumerate} + + \solution + + \textbf{Bemerkung:} Die in dieser Aufgabe und ihrer Musterlösung vorkommenden + Funktionen prüfen nicht, ob durch das Einfügen eines Zeichens der für den + String reservierte Speicherplatz überläuft. Ein derartiges Verhalten wäre + in einem "`echten"' Programm ein \textbf{Fehler}, der katastrophale Folgen + haben kann. Wenn dergleichen hier nicht berücksichtigt wird, dann nur, um + in einer Klausur nicht den zeitlichen Rahmen zu sprengen. + + \begin{enumerate}[\quad(a)] + \setcounter{enumi}{4} + \item + \textbf{Schreiben Sie eine Funktion + \lstinline{void insert_into_string_sorted (char src, char *target)}, + die voraussetzt, daß der String \lstinline{target} alphabetisch sortiert ist + und den Buchstaben \lstinline{src} an der\break alphabetisch richtigen Stelle + einfügt. Diese Funktion darf die bereits vorhandene Funktion\break + \lstinline|insert_into_string()| aufrufen.} + \begin{lstlisting}{gobble=8} + void insert_into_string_sorted (char src, char *target) + { + int i = 0; + while (target[i] && target[i] < src) + i++; + insert_into_string (src, target, i); + } + \end{lstlisting} + + Die Datei \gitfile{hp}{2023ws/20231207}{loesung-2e.c} enthält die o.\,a.\ Funktion + sowie zusätzliche Tests. + + \item + \textbf{Wie schnell (Landau-Symbol in Abhängigkeit von der Länge $n$ des Strings) + arbeitet Ihre Funktion + \lstinline{void insert_into_string_sorted (char src, char *target)}? + Begründen Sie Ihre Antwort.} + + Die Funktion sucht im Array \textbf{mittels einer Schleife} + nach der korrekten Position zum Einfügen des Zeichens + und hat daher von sich aus $\mathcal{O}(n)$. + + Anschließend ruft sie die Funktion \lstinline{insert_into_string()} auf, + die ebenfalls eine Schleife verwendet, um im Array Platz zu Einfügen zu schaffen, + und daher ebenfalls $\mathcal{O}(n)$ hat. + + Es bleibt daher bei $\mathcal{O}(n)$. + + \item + \textbf{Beschreiben Sie -- in Worten oder als C-Quelltext --, wie man die Funktion\\ + \lstinline{void insert_into_string_sorted (char src, char *target)} + so gestalten kann,\\ + daß sie in $\mathcal{O}(\log n)$ arbeitet.} + + In einem alphabetisch sortierten Array kann man die Suche in der Mitte beginnen + und sich durch Halbieren der Intervalle an die gesuchte Position herantasten. + Wegen des fortwährenden Halbierens geschieht dies in $\mathcal{O}(\log n)$. + (Für eine derartige Antwort gäbe es in der Klausur die volle Punktzahl.) + + Wenn wir allerdings anschließend für das eigentliche Einfügen die Funktion + \lstinline{insert_into_string()} verwenden, die dafür $\mathcal{O}(n)$ benötigt, + kommen wir insgesamt auf $\mathcal{O}(n)$. Ein sortiertes Einfügen in ein Array + ist daher in $\mathcal{O}(\log n)$ nicht möglich. + (Wer dies bemerkt, kann zum einen während der Klausur nachfragen, + wie denn die Aufgabenstellung genau gemeint ist, und sich zum anderen + für die besondere Sorgfalt Zusatzpunkte verdienen.) + + Die Datei \gitfile{hp}{2023ws/20231207}{loesung-2g.c} enthält einen C-Quelltext, + die den o.\,a.\ Algorithmus als Funktion implementiert. + Man beachte die Behandlung des Spezialfalls, + daß das einzufügende Zeichen am Ende angehängt werden muß. + + \end{enumerate} + +\end{document} diff --git a/20231207/hp-uebung-20231207.pdf b/20231207/hp-uebung-20231207.pdf new file mode 100644 index 0000000000000000000000000000000000000000..816b29b85bea037aadd5f5dabf6ca4f0be271229 GIT binary patch literal 71767 zcmY!laB<T$)HCH$y>R8|4K6bU1BLvgEG`=xE`6WWy!4U`1tS9k0|hYP(s#?uDM>9- z(09v8EJ<}qP0mkA<+8KmDlREXP0Z!0xV1JSviP={K;8HC3Ae>p^##b-TvncJl6fh6 z*0nq%Ve88aRXh&0EDDk<eC_wYT0EjbNz-atsQrx=hk}i}e|$UqE-3$L;QODPvNrSQ 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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: Länge von Strings, Einfügen in Strings (Ergänzung) + +\documentclass[a4paper]{article} + +\usepackage{pgscript} +\usepackage{gensymb} + +\newcommand{\ItwoC}{I\raisebox{0.5ex}{\footnotesize 2}C} +\newcommand{\ITWOC}{I\raisebox{0.5ex}{\normalsize 2}C} + +\begin{document} + + \thispagestyle{empty} + + \section*{Hardwarenahe Programmierung\\ + Übungsaufgaben -- 7.\ Dezember 2023} + + Diese Übung enthält Punkteangaben wie in einer Klausur. + Um zu "`bestehen"', müssen Sie innerhalb von 70 Minuten + unter Verwendung ausschließlich zugelassener Hilfsmittel + 12 Punkte (von insgesamt \totalpoints) erreichen. + + \exercise{Länge von Strings} + + Strings werden in der Programmiersprache C durch Zeiger auf \lstinline{char}-Variable realisiert. + + Beispiel: \lstinline{char *hello_world = "Hello, world!\n"} + + Die Systembibliothek stellt eine Funktion \lstinline{strlen()} zur Ermittlung der Länge von Strings\\ + zur Verfügung (\lstinline{#include <string.h>}). + + \begin{enumerate}[\quad(a)] + \item + Auf welche Weise ist die Länge eines Strings gekennzeichnet? + \points{1} + \item + Wie lang ist die Beispiel-String-Konstante \lstinline{"Hello, world!\n"}, + und wieviel Speicherplatz belegt sie?\\ + \points{2} + \item + Schreiben Sie eine eigene Funktion \lstinline{int strlen (char *s)}, + die die Länge eines Strings zurückgibt.\\ + \points{3} + \end{enumerate} + + \goodbreak + + Wir betrachten nun die folgenden Funktionen (Datei: \gitfile{hp}{2023ws/20231207}{aufgabe-1.c}): + \begin{center} + \begin{minipage}{8cm} + \begin{lstlisting}[gobble=8] + int fun_1 (char *s) + { + int x = 0; + for (int i = 0; i < strlen (s); i++) + x += s[i]; + return x; + } + \end{lstlisting} + \end{minipage}% + \begin{minipage}{6cm} + \vspace*{-1cm} + \begin{lstlisting}[gobble=8] + int fun_2 (char *s) + { + int i = 0, x = 0; + int len = strlen (s); + while (i < len) + x += s[i++]; + return x; + } + \end{lstlisting} + \vspace*{-1cm} + \end{minipage} + \end{center} + \begin{enumerate}[\quad(a)]\setcounter{enumi}{3} + \item + Was bewirken die beiden Funktionen? + \points{2} + \item + Schreiben Sie eine eigene Funktion, + die dieselbe Aufgabe erledigt wie \lstinline{fun_2()},\\ + nur effizienter. + \points{4} + \item + Von welcher Ordnung (Landau-Symbol) sind die beiden Funktionen + hinsichtlich der Anzahl ihrer Zugriffe auf die Zeichen im String? + Begründen Sie Ihre Antwort. + Sie dürfen für \lstinline{strlen()} Ihre eigene Version der Funktion voraussetzen. + \points{3} + \item + Von welcher Ordnung (Landau-Symbol) ist Ihre effizientere Funktion?\\ + Begründen Sie Ihre Antwort. + \points{1} + \end{enumerate} + + \clearpage + \exercise{Einfügen in Strings (Ergänzung)} + + Diese Aufgabe ist eine Ergänzung von Aufgabe 3 der Übung vom 2.\ November 2023 + um die Teilaufgaben (e), (f) und (g). Für den "`Klausur-Modus"' können + Sie die Teilaufgaben (a) bis (d) als "`bereits gelöst"' voraussetzen. + + Wir betrachten das folgende Programm (\gitfile{hp}{2023ws/20231207}{aufgabe-2.c}): +% \begin{lstlisting}[style=numbered] + \begin{lstlisting} + #include <stdio.h> + #include <string.h> + + void insert_into_string (char src, char *target, int pos) + { + int len = strlen (target); + for (int i = pos; i < len; i++) + target[i+1] = target[i]; + target[pos] = src; + } + + int main (void) + { + char test[100] = "Hochshule Bochum"; + insert_into_string ('c', test, 5); + printf ("%s\n", test); + return 0; + } + \end{lstlisting} + Die Ausgabe des Programms lautet: + \lstinline[style=terminal]{Hochschhhhhhhhhhh} + + \begin{enumerate}[\quad(a)] + \item + Erklären Sie, wie die Ausgabe zustandekommt. +% \points{3} +% \workspace{12} + \item + Schreiben Sie die Funktion \lstinline|insert_into_string()| so um, + daß sie den Buchstaben \lstinline{src} an der Stelle \lstinline{pos} + in den String \lstinline{target} einfügt.\par + Die Ausgabe des Programms müßte dann + \lstinline[style=terminal]{Hochschule Bochum} lauten. +% \points{2} +% \workspace{13} + \item + Was kann passieren, wenn Sie die Zeile + \lstinline{char test[100] = "Hochshule Bochum";}\\ + durch + \lstinline{char test[] = "Hochshule Bochum";} ersetzen? + Begründen Sie Ihre Antwort. +% \points{2} +% \workspace{10} + \item + Was kann passieren, wenn Sie die Zeile + \lstinline{char test[100] = "Hochshule Bochum";}\\ + durch + \lstinline{char *test = "Hochshule Bochum";} ersetzen? + Begründen Sie Ihre Antwort. +% \points{2} +% \workspace{10} + \item + Schreiben Sie eine Funktion + \lstinline{void insert_into_string_sorted (char src, char *target)}, + die voraussetzt, daß der String \lstinline{target} alphabetisch sortiert ist + und den Buchstaben \lstinline{src} an der alphabetisch richtigen Stelle + einfügt. Diese Funktion darf die bereits vorhandene Funktion + \lstinline|insert_into_string()| aufrufen.\\ + \points{4}\par + Zum Testen eignen sich die folgenden Zeilen im Hauptprogramm: + \begin{lstlisting}[gobble=8] + char test[100] = ""; + insert_into_string_sorted ('c', test); + insert_into_string_sorted ('a', test); + insert_into_string_sorted ('d', test); + insert_into_string_sorted ('b', test); + \end{lstlisting} + Danach sollte \lstinline{test[]} die Zeichenfolge \lstinline{"abcd"} enthalten. +% \workspace{14} + \goodbreak + \item + Wie schnell (Landau-Symbol in Abhängigkeit von der Länge $n$ des Strings) + arbeitet Ihre Funktion + \lstinline{void insert_into_string_sorted (char src, char *target)}? + Begründen Sie Ihre Antwort. + \points{1} +% \workspace{10} + \item + Beschreiben Sie -- in Worten oder als C-Quelltext --, wie man die Funktion\\ + \lstinline{void insert_into_string_sorted (char src, char *target)} + so gestalten kann,\\ + daß sie in $\mathcal{O}(\log n)$ arbeitet. + \points{3} +% \workspace{35} + \end{enumerate} + + \begin{flushright} + \textit{Viel Erfolg!} + \end{flushright} + + \makeatletter + \immediate\write\@mainaux{\string\gdef\string\totalpoints{\arabic{points}}} + \makeatother + +\end{document} diff --git a/20231207/landau-symbols-2.pdf b/20231207/landau-symbols-2.pdf new file mode 120000 index 0000000..6b458b6 --- /dev/null +++ b/20231207/landau-symbols-2.pdf @@ -0,0 +1 @@ +../common/landau-symbols-2.pdf \ No newline at end of file diff --git a/20231207/landau-symbols-3.pdf b/20231207/landau-symbols-3.pdf new file mode 120000 index 0000000..46efa40 --- /dev/null +++ b/20231207/landau-symbols-3.pdf @@ -0,0 +1 @@ +../common/landau-symbols-3.pdf \ No newline at end of file diff --git a/20231207/landau-symbols.pdf b/20231207/landau-symbols.pdf new file mode 120000 index 0000000..ca14542 --- /dev/null +++ b/20231207/landau-symbols.pdf @@ -0,0 +1 @@ +../common/landau-symbols.pdf \ No newline at end of file diff --git a/20231207/loesung-1-c-1.c b/20231207/loesung-1-c-1.c new file mode 100644 index 0000000..69ddd0e --- /dev/null +++ b/20231207/loesung-1-c-1.c @@ -0,0 +1,15 @@ +#include <stdio.h> + +int strlen (char *s) +{ + int l = 0; + while (s[l]) + l++; + return l; +} + +int main (void) +{ + printf ("%d\n", strlen ("Hello, world!\n")); + return 0; +} diff --git a/20231207/loesung-1-c-2.c b/20231207/loesung-1-c-2.c new file mode 100644 index 0000000..e783c47 --- /dev/null +++ b/20231207/loesung-1-c-2.c @@ -0,0 +1,15 @@ +#include <stdio.h> + +int strlen (char *s) +{ + char *s0 = s; + while (*s) + s++; + return s - s0; +} + +int main (void) +{ + printf ("%d\n", strlen ("Hello, world!\n")); + return 0; +} diff --git a/20231207/loesung-1-d-1.c b/20231207/loesung-1-d-1.c new file mode 100644 index 0000000..5752138 --- /dev/null +++ b/20231207/loesung-1-d-1.c @@ -0,0 +1,34 @@ + +#include <stdio.h> + +int strlen (char *s) +{ + int l = 0; + while (s[l]) + l++; + return l; +} + +int fun_1 (char *s) +{ + int x = 0; + for (int i = 0; i < strlen (s); i++) + x += s[i]; + return x; +} + +int fun_2 (char *s) +{ + int i = 0, x = 0; + int len = strlen (s); + while (i < len) + x += s[i++]; + return x; +} + +int main (void) +{ + printf ("%d\n", fun_1 ("Hello, world!\n")); + printf ("%d\n", fun_2 ("Hello, world!\n")); + return 0; +} diff --git a/20231207/loesung-1-d-2.c b/20231207/loesung-1-d-2.c new file mode 100644 index 0000000..5f3f096 --- /dev/null +++ b/20231207/loesung-1-d-2.c @@ -0,0 +1,34 @@ + +#include <stdio.h> + +int strlen (char *s) +{ + char *s0 = s; + while (*s) + s++; + return s - s0; +} + +int fun_1 (char *s) +{ + int x = 0; + for (int i = 0; i < strlen (s); i++) + x += s[i]; + return x; +} + +int fun_2 (char *s) +{ + int i = 0, x = 0; + int len = strlen (s); + while (i < len) + x += s[i++]; + return x; +} + +int main (void) +{ + printf ("%d\n", fun_1 ("Hello, world!\n")); + printf ("%d\n", fun_2 ("Hello, world!\n")); + return 0; +} diff --git a/20231207/loesung-1-e-1.c b/20231207/loesung-1-e-1.c new file mode 100644 index 0000000..74f5add --- /dev/null +++ b/20231207/loesung-1-e-1.c @@ -0,0 +1,15 @@ +#include <stdio.h> + +int fun_3 (char *s) +{ + int i = 0, x = 0; + while (s[i]) + x += s[i++]; + return x; +} + +int main (void) +{ + printf ("%d\n", fun_3 ("Hello, world!\n")); + return 0; +} diff --git a/20231207/loesung-1-e-2.c b/20231207/loesung-1-e-2.c new file mode 100644 index 0000000..b223d2d --- /dev/null +++ b/20231207/loesung-1-e-2.c @@ -0,0 +1,15 @@ +#include <stdio.h> + +int fun_4 (char *s) +{ + int x = 0; + while (*s) + x += *s++; + return x; +} + +int main (void) +{ + printf ("%d\n", fun_4 ("Hello, world!\n")); + return 0; +} diff --git a/20231207/loesung-2e.c b/20231207/loesung-2e.c new file mode 100644 index 0000000..bc41fb0 --- /dev/null +++ b/20231207/loesung-2e.c @@ -0,0 +1,33 @@ +#include <stdio.h> +#include <string.h> + +void insert_into_string (char src, char *target, int pos) +{ + int len = strlen (target); + for (int i = len; i >= pos; i--) + target[i + 1] = target[i]; + target[pos] = src; +} + +void insert_into_string_sorted (char src, char *target) +{ + int i = 0; + while (target[i] && target[i] < src) + i++; + insert_into_string (src, target, i); +} + +int main (void) +{ + char test[100] = ""; + insert_into_string_sorted ('c', test); + insert_into_string_sorted ('a', test); + insert_into_string_sorted ('d', test); + insert_into_string_sorted ('b', test); + printf ("test = \"%s\"\n", test); + for (char ch = 'e'; ch < 'z'; ch += 2) + insert_into_string_sorted (ch, test); + insert_into_string_sorted ('n', test); + printf ("test = \"%s\"\n", test); + return 0; +} diff --git a/20231207/loesung-2g.c b/20231207/loesung-2g.c new file mode 100644 index 0000000..4b0c29d --- /dev/null +++ b/20231207/loesung-2g.c @@ -0,0 +1,46 @@ +#include <stdio.h> +#include <string.h> + +void insert_into_string (char src, char *target, int pos) +{ + int len = strlen (target); + for (int i = len; i >= pos; i--) + target[i + 1] = target[i]; + target[pos] = src; +} + +void insert_into_string_sorted (char src, char *target) +{ + int l = 0; + int r = 0; + while (target[r]) + r++; + int m = (l + r) / 2; + while (m > l) + { + if (src < target[m]) + r = m; + else + l = m; + m = (l + r) / 2; + } + if (target[m] == 0 || src < target[m]) + insert_into_string (src, target, m); + else + insert_into_string (src, target, m + 1); +} + +int main (void) +{ + char test[100] = ""; + insert_into_string_sorted ('c', test); + insert_into_string_sorted ('a', test); + insert_into_string_sorted ('d', test); + insert_into_string_sorted ('b', test); + printf ("test = \"%s\"\n", test); + for (char ch = 'e'; ch < 'z'; ch += 2) + insert_into_string_sorted (ch, test); + insert_into_string_sorted ('n', test); + printf ("test = \"%s\"\n", test); + return 0; +} diff --git a/20231207/logo-hochschule-bochum-cvh-text-v2.pdf b/20231207/logo-hochschule-bochum-cvh-text-v2.pdf new file mode 120000 index 0000000..4aa99b8 --- /dev/null +++ b/20231207/logo-hochschule-bochum-cvh-text-v2.pdf @@ -0,0 +1 @@ +../common/logo-hochschule-bochum-cvh-text-v2.pdf \ No newline at end of file diff --git a/20231207/logo-hochschule-bochum.pdf b/20231207/logo-hochschule-bochum.pdf new file mode 120000 index 0000000..b6b9491 --- /dev/null +++ b/20231207/logo-hochschule-bochum.pdf @@ -0,0 +1 @@ +../common/logo-hochschule-bochum.pdf \ No newline at end of file diff --git a/20231207/pendulum.pdf b/20231207/pendulum.pdf new file mode 120000 index 0000000..7d1d873 --- /dev/null +++ b/20231207/pendulum.pdf @@ -0,0 +1 @@ +../common/pendulum.pdf \ No newline at end of file diff --git a/20231207/pgscript.sty b/20231207/pgscript.sty new file mode 120000 index 0000000..95c8884 --- /dev/null +++ b/20231207/pgscript.sty @@ -0,0 +1 @@ +../common/pgscript.sty \ No newline at end of file diff --git a/20231207/pgslides.sty b/20231207/pgslides.sty new file mode 120000 index 0000000..5be1416 --- /dev/null +++ b/20231207/pgslides.sty @@ -0,0 +1 @@ +../common/pgslides.sty \ No newline at end of file diff --git a/README.md b/README.md index e381558..44ce3fc 100644 --- a/README.md +++ b/README.md @@ -25,6 +25,8 @@ Vortragsfolien und Beispiele: * [09.11.2023: Hardwarenahe Programmierung](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231109/hp-20231109.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20231109/) * [16.11.2023: Byte-Reihenfolge, Darstellung negativer Zahlen, Darstellung von Gleitkommazahlen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231116/hp-20231116.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20231116/) * [23.11.2023: Speicherausrichtung, Algorithmen: Differentialgleichungen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231123/hp-20231123.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20231123/) + * [30.11.2023: Algorithmen: Rekursion](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231130/hp-20231130.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20231130/) + * [07.12.2023: Algorithmen: Aufwandsabschätzungen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231207/hp-20231207.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20231207/) * [alle in 1 Datei](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/hp-slides-2023ws.pdf) Übungsaufgaben: @@ -37,6 +39,8 @@ Vortragsfolien und Beispiele: * [09.11.2023: Text-Grafik-Bibliothek, Mikrocontroller, LED-Blinkmuster](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231109/hp-uebung-20231109.pdf) * [16.11.2023: Trickprogrammierung, Thermometer-Baustein an I²C-Bus, Speicherformate von Zahlen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231116/hp-uebung-20231116.pdf) * [23.11.2023: Kondensator, Personen-Datenbank, Hexdumps](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231123/hp-uebung-20231123.pdf) + * [30.11.2023: PBM-Grafik, Fakultät](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231130/hp-uebung-20231130.pdf) + * [07.12.2023: Länge von Strings, Einfügen in Strings (Ergänzung)](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231207/hp-uebung-20231207.pdf) Musterlösungen: --------------- @@ -47,6 +51,8 @@ Musterlösungen: * [09.11.2023: Text-Grafik-Bibliothek, Mikrocontroller, LED-Blinkmuster](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231109/hp-musterloesung-20231109.pdf) * [16.11.2023: Trickprogrammierung, Thermometer-Baustein an I²C-Bus, Speicherformate von Zahlen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231116/hp-musterloesung-20231116.pdf) * [23.11.2023: Kondensator, Personen-Datenbank, Hexdumps](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231123/hp-musterloesung-20231123.pdf) + * [30.11.2023: PBM-Grafik, Fakultät](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231130/hp-musterloesung-20231130.pdf) + * [07.12.2023: Länge von Strings, Einfügen in Strings (Ergänzung)](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231207/hp-musterloesung-20231207.pdf) Praktikumsunterlagen: --------------------- diff --git a/hp-slides-2023ws.pdf b/hp-slides-2023ws.pdf index 4194a11bffce9b374c9a4ac056895cf9b987e760..474638caa45a31f260a04f713643fb47f4f44ce0 100644 GIT binary patch delta 635519 zcmaF2qI&w~<%|<VraLC^Xic}DCh0J-PMy(o`oU-c_vs2VSOum#%wl2LoO5v=<MaY{ zMm8o>^XUmQSVg8QJZI##Ftt!HPzX}c4@fL2NiE7#Ftvp6T`Nl5gG&-iQWeY$AR=!0 zc_j)qHVXP~MrI0T(>JbVlHfO2Ff)S4dgfXvm`y*}E~m3OkhzU<@{1+B)8FO_=ugi( z!m2d=UM-&qlbQMSh1Q~4Os3}B6K1ep)MhlB{&B0gHAsaQlbOZzg{$~{n9MA<e_X}4 zs))(lV0vN~kLdIbYZ!Sq^DHgao}SRj3i03MmlxC-&8H`}$wY6?xwwPTpA0{k8Y`GX zwSoO(2=RuSshNWLbj6h%I-BQT7GY(ym>zhEO>DZsTw$Kg*KTCVFj`Dc=;Be@ocxuM zkI{1aMim~-=?;o4j?>RGGipqK*vJA2^6d_@Sd^F{!EI@R2yPWiQ;0pV;I=e_@Ll1- 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Darstellung von Gleitkommazahlen}{20231116} \includepdf[pages=-]{20231116/hp-20231116.pdf} - \pdfbookmark[1]{23.11.2023: Speicherausrichtung}{20231123} + \pdfbookmark[1]{23.11.2023: Speicherausrichtung, Algorithmen: Differentialgleichungen}{20231123} \includepdf[pages=-]{20231123/hp-20231123.pdf} + \pdfbookmark[1]{30.11.2023: Algorithmen: Rekursion}{20231130} + \includepdf[pages=-]{20231130/hp-20231130.pdf} + \pdfbookmark[1]{07.12.2023: Algorithmen: Aufwandsabschätzungen}{20231207} + \includepdf[pages=-]{20231207/hp-20231207.pdf} \end{document} -- GitLab