From 408f46f6f8d595843546bb339583e073e3e41e8e Mon Sep 17 00:00:00 2001 From: Peter Gerwinski <peter.gerwinski@hs-bochum.de> Date: Thu, 1 Oct 2020 18:21:42 +0200 Subject: [PATCH] =?UTF-8?q?Musterl=C3=B6sungen=209.=20und=2016.1.2020?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 20200109/hp-musterloesung-20200109.pdf | Bin 0 -> 94217 bytes 20200109/hp-musterloesung-20200109.tex | 623 ++++++++++++++++++++++++ 20200116/hp-musterloesung-20200116.pdf | Bin 0 -> 100831 bytes 20200116/hp-musterloesung-20200116.tex | 636 +++++++++++++++++++++++++ 20200116/loesung-1.c | 16 + 20200116/loesung-2c-1.c | 15 + 20200116/loesung-2c-2.c | 15 + 20200116/loesung-2d-1.c | 34 ++ 20200116/loesung-2d-2.c | 34 ++ 20200116/loesung-2e-1.c | 15 + 20200116/loesung-2e-2.c | 15 + 20200116/loesung-3d-0f.c | 54 +++ 20200116/loesung-3d-1.c | 54 +++ 20200116/loesung-3d-2.c | 54 +++ 20200116/loesung-3e.c | 61 +++ 20200116/loesung-3f.c | 69 +++ 20200116/loesung-3g.c | 77 +++ 20200123/hp-musterloesung-20200123.tex | 4 +- README.md | 4 +- 19 files changed, 1777 insertions(+), 3 deletions(-) create mode 100644 20200109/hp-musterloesung-20200109.pdf create mode 100644 20200109/hp-musterloesung-20200109.tex create mode 100644 20200116/hp-musterloesung-20200116.pdf create mode 100644 20200116/hp-musterloesung-20200116.tex create mode 100644 20200116/loesung-1.c create mode 100644 20200116/loesung-2c-1.c create mode 100644 20200116/loesung-2c-2.c create mode 100644 20200116/loesung-2d-1.c create mode 100644 20200116/loesung-2d-2.c create mode 100644 20200116/loesung-2e-1.c create mode 100644 20200116/loesung-2e-2.c create mode 100644 20200116/loesung-3d-0f.c create mode 100644 20200116/loesung-3d-1.c create mode 100644 20200116/loesung-3d-2.c create mode 100644 20200116/loesung-3e.c create mode 100644 20200116/loesung-3f.c create mode 100644 20200116/loesung-3g.c diff --git a/20200109/hp-musterloesung-20200109.pdf b/20200109/hp-musterloesung-20200109.pdf new 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b/20200109/hp-musterloesung-20200109.tex @@ -0,0 +1,623 @@ +% hp-musterloesung-20200109.pdf - Solutions to the Exercises on Low-Level Programming +% Copyright (C) 2013, 2015, 2016, 2017, 2018, 2019, 2020 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: Speicherformate von Zahlen, Zeigerarithmetik, Personen-Datenbank + +\documentclass[a4paper]{article} + +\usepackage{pgscript} +\usepackage{sfmath} + +\begin{document} + + \section*{Hardwarenahe Programmierung\\ + Musterlösung zu den Übungsaufgaben -- 9.\ Januar 2020} + + \exercise{Speicherformate von Zahlen} + + Wir betrachten das folgende Programm (\gitfile{hp}{20200109}{aufgabe-1.c}): + \begin{lstlisting} + #include <stdio.h> + #include <stdint.h> + + typedef struct + { + uint32_t a; + uint64_t b; + uint8_t c; + } three_numbers; + + int main (void) + { + three_numbers xyz = { 1819042120, 2410670883059281007, 0 }; + printf ("%s\n", &xyz); + return 0; + } + \end{lstlisting} + + Das Programm wird für einen 32-Bit-Rechner compiliert und ausgeführt.\\ + (Die \lstinline[style=cmd]{gcc}-Option \lstinline[style=cmd]{-m32} sorgt dafür, + daß \lstinline[style=cmd]{gcc} Code für einen 32-Bit-Prozessor erzeugt.) + + \begin{lstlisting}[style=terminal] + $ ¡gcc -Wall -m32 aufgabe-2.c -o aufgabe-2¿ + aufgabe-2.c: In function "main": + aufgabe-2.c:14:13: warning: format "%s" expects argument of type "char *", but + argument 2 has type "three_numbers * {aka struct <anonymous> *}" [-Wformat=] + printf ("%s\n", &xyz); + ^ + $ ¡./aufgabe-2¿ + Hallo, Welt! + \end{lstlisting} + + \begin{enumerate}[\quad(a)] + \item + Erklären Sie die beim Compilieren auftretende Warnung. + \points{2} + \item + Erklären Sie die Ausgabe des Programms. + \points{4} + \item + Welche Endianness hat der verwendete Rechner? + Wie sähe die Ausgabe auf einem Rechner mit entgegengesetzter Endianness aus? + \points{2} + \item + Dasselbe Programm wird nun für einen 64-Bit-Rechner compiliert und ausgeführt.\\ + (Die \lstinline[style=cmd]{gcc}-Option \lstinline[style=cmd]{-m64} sorgt dafür, + daß \lstinline[style=cmd]{gcc} Code für einen 64-Bit-Prozessor erzeugt.) + \begin{lstlisting}[style=terminal,gobble=8] + $ ¡gcc -Wall -m64 aufgabe-2.c -o aufgabe-2¿ + aufgabe-2.c: In function "main": + aufgabe-2.c:14:13: warning: format "%s" expects argument of type "char *", + but argument 2 has type "three_numbers * {aka struct <anonymous> *}" + [-Wformat=] + printf ("%s\n", &xyz); + ^ + $ ¡./aufgabe-2¿ + Hall5V + \end{lstlisting} + (Es ist möglich, daß die konkrete Ausgabe auf Ihrem Rechner anders aussieht.)\par + Erklären Sie die geänderte Ausgabe des Programms. + \points{3} + \end{enumerate} + + \solution + + \begin{enumerate}[\quad(a)] + \item + \textbf{Erklären Sie die beim Compilieren auftretende Warnung.} + + Die Funktion \lstinline{printf()} mit der Formatspezifikation \lstinline{%s} + erwartet als Parameter einen String, d.\,h.\ einen Zeiger auf \lstinline{char}. + Die Adresse (\lstinline{&}) der Variablen \lstinline{xyz} + ist zwar ein Zeiger, aber nicht auf \lstinline{char}, + sondern auf einen \lstinline{struct} vom Typ \lstinline{three_numbers}. + Eine implizite Umwandlung des Zeigertyps ist zwar möglich, + aber normalerweise nicht das, was man beabsichtigt. + + \item + \textbf{Erklären Sie die Ausgabe des Programms.} + + Ein String in C ist ein Array von \lstinline{char}s + bzw.\ ein Zeiger auf \lstinline{char}. + Da die Funktion \lstinline{printf()} mit der Formatspezifikation \lstinline{%s} + einen String erwartet, wird sie das, worauf der übergebene Zeiger zeigt, + als ein Array von \lstinline{char}s interpretieren. + Ein \lstinline{char} entspricht einer 8-Bit-Speicherzelle. + Um die Ausgabe des Programms zu erklären, müssen wir daher + die Speicherung der Zahlen in den einzelnen 8-Bit-Speicherzellen betrachten. + + Hierfür wandeln wir zunächst die Zahlen von Dezimal nach Hexadezimal um. + Sofern nötig (hier nicht der Fall) füllen wir von links mit Nullen auf, + um den gesamten von der Variablen belegten Speicherplatz zu füllen + (hier: 32 Bit, 64 Bit, 8 Bit). + Jeweils 2 Hex-Ziffern stehen für 8 Bit. + \begin{center} + \begin{tabular}{rcl} + dezimal & & hexadezimal \\[\smallskipamount] + 1\,819\,042\,120 & = & 6C\,6C\,61\,48 \\ + 2\,410\,670\,883\,059\,281\,007 & = & 21\,74\,6C\,65\,57\,20\,2C\,6F \\ + 0 & = & 00 + \end{tabular} + \end{center} + Die Anordnung dieser 8-Bit-Zellen im Speicher lautet + \textbf{auf einem Big-Endian-Rechner} wie folgt: + \begin{center} + \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline + \raisebox{0.5ex}{\strut} + 6C & 6C & 61 & 48 & + 21 & 74 & 6C & 65 & 57 & 20 & 2C & 6F & + 00 + \\\hline + \end{tabular}\\[-4.2ex] + \kern1.7em% + $\underbrace{\rule{9.8em}{0pt}}_{\mbox{\lstinline{a}}}$\kern1pt% + $\underbrace{\rule{18.8em}{0pt}}_{\mbox{\lstinline{b}}}$\kern1pt% + $\underbrace{\rule{2.2em}{0pt}}_{\mbox{\lstinline{c}}}$% + \end{center} + \textbf{Auf einem Little-Endian-Rechner} lautet sie hingegen: + \begin{center} + \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline +% \raisebox{0.5ex}{\strut} +% H & a & l & l & +% o & , & & W & e & l & t & ! & \\\hline + \raisebox{0.5ex}{\strut} + 48 & 61 & 6C & 6C & + 6F & 2C & 20 & 57 & 65 & 6C & 74 & 21 & + 00 + \\\hline + \end{tabular}\\[-4.2ex] + \kern1.7em% + $\underbrace{\rule{9.8em}{0pt}}_{\mbox{\lstinline{a}}}$\kern1pt% + $\underbrace{\rule{18.8em}{0pt}}_{\mbox{\lstinline{b}}}$\kern1pt% + $\underbrace{\rule{2.2em}{0pt}}_{\mbox{\lstinline{c}}}$% + \end{center} + Anhand einer ASCII-Tabelle erkennt man, + daß die Big-Endian-Variante dem String \lstinline{"llaH!tleW ,o"} + und die Little-Endian-Variante dem String \lstinline{"Hallo, Welt!"} + entspricht -- jeweils mit einem Null-Symbol am Ende, + das von der Variablen \lstinline{c} herrührt. + + Auf einem Little-Endian-Rechner wird daher + \lstinline[style=terminal]{Hallo, Welt!} ausgegeben. + + \item + \textbf{Welche Endianness hat der verwendete Rechner?} + + Little-Endian (Begründung siehe oben) + + \textbf{Wie sähe die Ausgabe auf einem Rechner mit entgegengesetzter Endianness aus?} + + \lstinline[style=terminal]{llaH!tleW ,o} (Begründung siehe oben) + + \item + \textbf{Dasselbe Programm wird nun für einen 64-Bit-Rechner compiliert und ausgeführt.\\ + (Die \lstinline[style=cmd]{gcc}-Option \lstinline[style=cmd]{-m64} sorgt dafür, + daß \lstinline[style=cmd]{gcc} Code für einen 64-Bit-Prozessor erzeugt.)} + \begin{lstlisting}[style=terminal,gobble=8] + $ ¡gcc -Wall -m64 aufgabe-2.c -o aufgabe-2¿ + aufgabe-2.c: In function "main": + aufgabe-2.c:14:13: warning: format "%s" expects argument of type "char *", + but argument 2 has type "three_numbers * {aka struct <anonymous> *}" + [-Wformat=] + printf ("%s\n", &xyz); + ^ + $ ¡./aufgabe-2¿ + Hall5V + \end{lstlisting} + \textbf{(Es ist möglich, daß die konkrete Ausgabe auf Ihrem Rechner anders aussieht.)}\par + \textbf{Erklären Sie die geänderte Ausgabe des Programms.} + + \goodbreak + + Auf einem 64-Bit-Rechner hat eine 64-Bit-Variable + ein \textbf{64-Bit-Alignment}, + d.\,h.\ ihre Speicheradresse muß durch 8 teilbar sein. + + Der Compiler legt die Variablen daher wie folgt im Speicher ab (Little-Endian): + \begin{center} + \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline + \raisebox{0.5ex}{\strut} + 48 & 61 & 6C & 6C & ?? & ?? & ?? & ?? & + 6F & 2C & 20 & 57 & 65 & 6C & 74 & 21 & + 00 + \\\hline + \end{tabular}\\[-4.2ex] + \kern1.7em% + $\underbrace{\rule{9.8em}{0pt}}_{\mbox{\lstinline{a}}}$\kern1pt% + $\underbrace{\rule{9.1em}{0pt}}_{\mbox{Füll-Bytes}}$\kern1pt% + $\underbrace{\rule{18.8em}{0pt}}_{\mbox{\lstinline{b}}}$\kern1pt% + $\underbrace{\rule{2.2em}{0pt}}_{\mbox{\lstinline{c}}}$% + \end{center} + Der Inhalt der Füll-Bytes ist undefiniert. + Im Beispiel aus der Aufgabenstellung entsteht hier die Ausgabe + \lstinline[style=terminal]{5V}, was den (zufälligen) hexadezimalen Werten + 35 56 entspricht: + \begin{center} + \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline + \raisebox{0.5ex}{\strut} + 48 & 61 & 6C & 6C & 35 & 56 & 00 & ?? & + 6F & 2C & 20 & 57 & 65 & 6C & 74 & 21 & + 00 + \\\hline + \end{tabular}\\[-4.2ex] + \kern1.7em% + $\underbrace{\rule{9.8em}{0pt}}_{\mbox{\lstinline{a}}}$\kern1pt% + $\underbrace{\rule{9.1em}{0pt}}_{\mbox{Füll-Bytes}}$\kern1pt% + $\underbrace{\rule{18.8em}{0pt}}_{\mbox{\lstinline{b}}}$\kern1pt% + $\underbrace{\rule{2.2em}{0pt}}_{\mbox{\lstinline{c}}}$% + \end{center} + Da danach die Aufgabe aufhört, muß an der nächsten Stelle + ein Null-Symbol stehen, das das Ende des Strings anzeigt. + Der Inhalt der darauf folgenden Speicherzelle bleibt unbekannt. + \end{enumerate} + +% \vspace{4cm} +% \goodbreak + + \exercise{Zeigerarithmetik} + + Wir betrachten das folgende Programm (\gitfile{hp}{20200109}{aufgabe-2.c}): + \begin{lstlisting} + #include <stdio.h> + #include <stdint.h> + + void output (uint16_t *a) + { + for (int i = 0; a[i]; i++) + printf (" %d", a[i]); + printf ("\n"); + } + + int main (void) + { + uint16_t prime_numbers[] = { 2, 3, 5, 7, 11, 13, 17, 0 }; + + uint16_t *p1 = prime_numbers; + output (p1); + p1++; + output (p1); + + char *p2 = prime_numbers; + output (p2); + p2++; + output (p2); + + return 0; + } + \end{lstlisting} + + Das Programm wird compiliert und ausgeführt: + + \begin{lstlisting}[style=terminal] + $ ¡gcc -Wall aufgabe-2.c -o aufgabe-2¿ + aufgabe-2.c: In function 'main': + aufgabe-2.c:20:13: warning: initialization from + incompatible pointer type [enabled by default] + aufgabe-2.c:21:3: warning: passing argument 1 of 'output' from + incompatible pointer type [enabled by default] + aufgabe-2.c:4:6: note: expected 'uint16_t *' but argument is of type 'char *' + aufgabe-2.c:23:3: warning: passing argument 1 of 'output' from + incompatible pointer type [enabled by default] + aufgabe-2.c:4:6: note: expected 'uint16_t *' but argument is of type 'char *' + $ ¡./aufgabe-2¿ + 2 3 5 7 11 13 17 + 3 5 7 11 13 17 + 2 3 5 7 11 13 17 + 768 1280 1792 2816 3328 4352 + \end{lstlisting} + + \begin{enumerate}[\quad(a)] + \item + Erklären Sie die Funktionsweise der Funktion \lstinline{output ()}. + \points{2} + \item + Begründen Sie den Unterschied zwischen der ersten (\lstinline[style=terminal]{2 3 5 7 11 13 17})\\ + und der zweiten Zeile (\lstinline[style=terminal]{3 5 7 11 13 17}) der Ausgabe des Programms. + \points{2} + \item + Erklären Sie die beim Compilieren auftretenden Warnungen\\ + und die dritte Zeile (\lstinline[style=terminal]{2 3 5 7 11 13 17}) der Ausgabe des Programms. + \points{3} + \item + Erklären Sie die vierte Zeile (\lstinline[style=terminal]{768 1280 1792 2816 3328 4352}) + der Ausgabe des Programms.\\ +% Welche Endianness hat der verwendete Rechner?\\ +% Wie sähe die Ausgabezeile bei umgekehrter Endianness aus? +% +% 2 0 3 0 5 0 7 0 11 --> 2 3 5 7 11 +% 0 3 0 5 0 7 0 11 --> 768 1280 ... +% +% 0 2 0 3 0 5 0 7 0 11 --> 2 3 5 7 11 +% 2 0 3 0 5 0 7 0 11 --> 768 1280 ... +% +% --> Endianness nicht erkennbar! +% + Sie dürfen einen Little-Endian-Rechner voraussetzen. + \points{4} + \end{enumerate} + + \solution + + \begin{enumerate}[\quad(a)] + \item + \textbf{Erklären Sie die Funktionsweise der Funktion \lstinline{output ()}.} + + Die Funktion bekommt ein Array von ganzen Zahlen als Zeiger übergeben + und gibt dessen Inhalt auf den Bildschirm aus, + \textbf{bis es auf die Zahl 0 stößt}. + (Die Ende-Markierung 0 wird nicht mit ausgegeben.) + + (Die Erwähnung der Abbruchbedingung der Schleife + ("`bis es auf die Zahl 0 stößt"') + ist ein wichtiger Bestandteil der richtigen Lösung. + Wenn man nämlich einen Zeiger auf ein Array übergibt, + das am Ende keine 0 enthält, + liest die Funktion über das Array hinaus + zufällige Werte aus dem Speicher. + Dies kann zu einem Absturz führen.) + + \item + \textbf{Begründen Sie den Unterschied zwischen der ersten (\lstinline{2 3 5 7 11 13 17})\\ + und der zweiten Zeile (\lstinline{3 5 7 11 13 17}) der Ausgabe des Programms.} + + Zwischen der Ausgabe der ersten und der zweiten Zeile + wurde der Zeiger \lstinline{p1} um 1 inkrementiert; + er zeigt danach auf die nächste ganze Zahl im Array + (also die zweite Zahl im Array -- mit Index 1 statt 0). + Als Folge davon wird beim zweiten Aufruf von \lstinline{output()} + die erste Zahl des Arrays nicht mehr mit ausgegeben. + + \item + \textbf{Erklären Sie die beim Compilieren auftretenden Warnungen\\ + und die dritte Zeile (\lstinline{2 3 5 7 11 13 17}) der Ausgabe des Programms.} + + Die Warnungen kommen daher, + daß die Variable \lstinline{p2} ein Zeiger auf \lstinline{char}-Variable ist, + ihr jedoch ein anderer Zeigertyp, + nämlich ein Zeiger auf \lstinline{uint16_t}-Variable, zugewiesen wird. + Beim Aufruf der Funktion \lstinline{output()} + wird umgekehrt dem Parameter \lstinline{a}, + der auf \lstinline{uint16_t}-Variable zeigt, + ein Zeiger auf \lstinline{char} zugewiesen, + was dieselbe Warnung hervorruft. + + Trotz des anderen Zeigertyps und trotz der Warnungen + zeigt \lstinline{p2} auf die Speicheradresse + der ersten Zahl im Array, + so daß die Funktion \lstinline{output()} normal arbeitet. + + \item + \textbf{Erklären Sie die vierte Zeile (\lstinline{768 1280 1792 2816 3328 4352}) + der Ausgabe des Programms.\\ + Sie dürfen einen Little-Endian-Rechner voraussetzen.} + + Zwischen der Ausgabe der ersten und der zweiten Zeile + wurde der Zeiger \lstinline{p2} um 1 inkrementiert. + Da \lstinline{p2} auf \lstinline{char}-Variable zeigt + und nicht auf \lstinline{uint16_t}-Variable, + zeigt er danach \emph{nicht\/} auf die nächste ganze Zahl im Array, + sondern auf die \emph{nächste Speicherzelle}. + Da eine \lstinline{uint16_t}-Variable \emph{zwei\/} Speicherzellen belegt, + zeigt \lstinline{p2} nach dem Inkrementieren + \emph{auf das zweite Byte\/} der ersten Variablen im Array. + Die Funktion \lstinline{output()} + liest immer ganze \lstinline{uint16_t}-Variablen + und nimmt für die Ausgabe noch das erste Byte der zweiten Zahl im Array hinzu. + + Auf einem Little-Endian-Rechner hat das zweite Byte der Zahl 2 den Wert 0 + und das erste Byte der Zahl 3 den Wert 3. + Wenn man dies zu einer Little-Endian-16-Bit-Zahl zusammensetzt, + entsteht die Zahl $256\cdot 3 + 0 = 768$. + Entsprechendes gilt für alle anderen Zahlen im Array. + + \begin{center} + $\overbrace{\rule{3.4em}{0pt}}^{\mbox{\lstinline{2}}}$\kern1pt% + $\overbrace{\rule{3.4em}{0pt}}^{\mbox{\lstinline{3}}}$\kern1pt% + $\overbrace{\rule{3.4em}{0pt}}^{\mbox{\lstinline{5}}}$\kern1pt% + $\overbrace{\rule{3.4em}{0pt}}^{\mbox{\lstinline{7}}}$\kern1pt% + \raisebox{2ex}{\dots}\kern-7pt\\ + \begin{tabular}{|c|c|c|c|c|c|c|c|}\hline + \raisebox{0.5ex}{\strut}2 & 0 & 3 & 0 & 5 & 0 & 7 & \dots\\\hline + \end{tabular}\\[-4.2ex] + \kern1.7em% + $\underbrace{\rule{3.4em}{0pt}}_{\mbox{\lstinline{768}}}$\kern1pt% + $\underbrace{\rule{3.4em}{0pt}}_{\mbox{\lstinline{1280}}}$\kern1pt% + $\underbrace{\rule{3.4em}{0pt}}_{\mbox{\lstinline{1792}}}$\kern1pt% + \raisebox{-3ex}{\dots}\kern-7pt + \end{center} + + Die Schleife in der Funktion \lstinline{output()} bricht ab, + sobald sie auf den Zahlenwert 0 trifft. + Dies ist jetzt nur noch zufällig der Fall; + anscheinend hat die Speicherzelle hinter dem Array zufällig den Wert 0. + Ansonsten wäre es auch möglich gewesen, + daß die Schleife über das Array hinaus immer weiter liest, + was zu einem Absturz führen kann. + + \textbf{Zusatzübung:} + Auf einem Big-Endian-Rechner verhält sich das Programm genauso. + Versuchen Sie, auch dies zu erklären. + + \end{enumerate} + + \exercise{Personen-Datenbank} + + Wir betrachten das folgende Programm (\gitfile{hp}{20200109}{aufgabe-3.c}): + \begin{lstlisting} + #include <stdio.h> + #include <string.h> + + typedef struct + { + char first_name[10]; + char family_name[20]; + char day, month; + int year; + } person; + + int main (void) + { + person sls; + sls.day = 26; + sls.month = 7; + sls.year = 1951; + strcpy (sls.first_name, "Sabine"); + strcpy (sls.family_name, "Leutheusser-Schnarrenberger"); + printf ("%s %s wurde am %d.%d.%d geboren.\n", + sls.first_name, sls.family_name, sls.day, sls.month, sls.year); + return 0; + } + \end{lstlisting} + + Die Standard-Funktion \lstinline{strcpy()} bewirkt ein Kopieren eines Strings + von rechts nach links, hier also z.\,B.\ die Zuweisung der String-Konstanten + \lstinline{"Sabine"} an die String-Variable \lstinline{sls.first_name[]}. + + Das Programm wird für einen 32-Bit-Rechner compiliert und ausgeführt.\\ + (Die \lstinline[style=cmd]{gcc}-Option \lstinline[style=cmd]{-m32} sorgt dafür, + daß \lstinline[style=cmd]{gcc} Code für einen 32-Bit-Prozessor erzeugt.) + + \begin{lstlisting}[style=terminal] + $ ¡gcc -Wall -O -m32 aufgabe-2.c -o aufgabe-2¿ + $ ¡./aufgabe-2¿ + Sabine Leutheusser-Schnarrenberger wurde am 110.98.1701278309 geboren. + Speicherzugriffsfehler + \end{lstlisting} + + \begin{enumerate}[\quad(a)] + \item + Erklären Sie die Ausgabe des Programms einschließlich der Zahlenwerte. + \points{4} + \item + Welche Endianness hat der verwendete Rechner? + Begründen Sie Ihre Antwort. + \points{1} + \item + Wie sähe die Ausgabe auf einem Rechner mit entgegengesetzter Endianness aus? + \points{2} + \item + Erklären Sie den Speicherzugriffsfehler. + (Es kann sein, daß sich der Fehler auf Ihrem Rechner nicht bemerkbar macht. + Er ist aber trotzdem vorhanden.) + \points{2} + \end{enumerate} + + \goodbreak + + \solution + + \begin{enumerate}[\quad(a)] + \item + \textbf{Erklären Sie die Ausgabe des Programms einschließlich der Zahlenwerte.} + + Der String \lstinline{"Leutheusser-Schnarrenberger"} + hat 27 Zeichen und daher mehr als die in der Variablen + \lstinline{sls.family_name} vorgesehenen 20 Zeichen. + Das \lstinline{"nberger"} paßt nicht mehr in die String-Variable. + + Die Zuweisung \lstinline{strcpy (sls.family_name, "Leutheusser-Schnarrenberger")} + überschreibt daher 8 Speicherzellen außerhalb der String-Variablen + \lstinline{sls.family_name} mit dem String \lstinline{"nberger"} + (7 Buchstaben zzgl.\ String-Ende-Symbol) -- und damit insbesondere die Variablen + \lstinline{sls.day}, \lstinline{sls.month} und \lstinline{sls.year}. + + Die überschriebenen Speicherzellen sehen demnach folgendermaßen aus: + \begin{center} + \begin{picture}(8,1.5)(0,-0.5) + \put(0,0){\line(1,0){8}} + \put(0,1){\line(1,0){8}} + \multiput(0,0)(1,0){9}{\line(0,1){1}} + \put(0.4,0.38){\lstinline{n}} + \put(1.4,0.38){\lstinline{b}} + \put(2.4,0.38){\lstinline{e}} + \put(3.4,0.38){\lstinline{r}} + \put(4.4,0.38){\lstinline{g}} + \put(5.4,0.38){\lstinline{e}} + \put(6.4,0.38){\lstinline{r}} + \put(7.5,0.5){\makebox(0,0){\lstinline{0x00}}} + \put(0.5,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{0.95cm}{0pt}}_{\mbox{\lstinline{day}}}$}} + \put(1.5,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{0.95cm}{0pt}}_{\mbox{\lstinline{month}}}$}} + \put(4.0,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{3.95cm}{0pt}}_{\mbox{\lstinline{year}}}$}} + \put(7.0,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{1.95cm}{0pt}}_{\mbox{?}}$}} + \end{picture} + \end{center} + ("`?"' steht für zwei Speicherzellen, von denen wir nicht wissen, + wofür sie genutzt werden.) + + Wenn wir die ASCII-Zeichen in Hexadezimalzahlen umrechnen, entspricht dies: + \begin{center} + \begin{picture}(7,1.5)(0,-0.5) + \put(0,0){\line(1,0){8}} + \put(0,1){\line(1,0){8}} + \multiput(0,0)(1,0){9}{\line(0,1){1}} + \put(0.5,0.5){\makebox(0,0){\lstinline{0x6e}}} + \put(1.5,0.5){\makebox(0,0){\lstinline{0x62}}} + \put(2.5,0.5){\makebox(0,0){\lstinline{0x65}}} + \put(3.5,0.5){\makebox(0,0){\lstinline{0x72}}} + \put(4.5,0.5){\makebox(0,0){\lstinline{0x67}}} + \put(5.5,0.5){\makebox(0,0){\lstinline{0x65}}} + \put(6.5,0.5){\makebox(0,0){\lstinline{0x72}}} + \put(7.5,0.5){\makebox(0,0){\lstinline{0x00}}} + \put(0.5,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{0.95cm}{0pt}}_{\mbox{\lstinline{day}}}$}} + \put(1.5,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{0.95cm}{0pt}}_{\mbox{\lstinline{month}}}$}} + \put(4.0,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{3.95cm}{0pt}}_{\mbox{\lstinline{year}}}$}} + \put(7.0,-0.1){\makebox(0,0)[t]{$\underbrace{\rule{1.95cm}{0pt}}_{\mbox{?}}$}} + \end{picture} + \end{center} + Dies entspricht bereits genau den Werten \lstinline{110} und \lstinline{98} + für die Variablen \lstinline{sls.day} bzw.\ \lstinline{sls.month}. + + Für die Variable \lstinline{sls.year} müssen wir ihre vier Speicherzellen + unter der Berücksichtigung der Endianness des Rechners zusammenziehen. + Für Big-Endian ergibt dies \lstinline{0x65726765 == 1701996389}. + Für Little-Endian ergibt sich der Wert \lstinline{0x65677265 == 1701278309}, + der auch in der Ausgabe des Programms auftaucht. + + \item + \textbf{Welche Endianness hat der verwendete Rechner? + Begründen Sie Ihre Antwort.} + + Wie in (a) begründet, ergibt sich die Ausgabe von + \lstinline[style=terminal]{1701278309} für das Jahr + aus dem Speicherformat Little-Endian. + + \item + \textbf{Wie sähe die Ausgabe auf einem Rechner mit entgegengesetzter Endianness aus?} + + Wie in (a) begründet, ergäbe sich aus dem Speicherformat Big-Endian + die Ausgabe von \lstinline[style=terminal]{1701996389} für das Jahr. + + \item + \textbf{Erklären Sie den Speicherzugriffsfehler. + (Es kann sein, daß sich der Fehler auf Ihrem Rechner nicht bemerkbar macht. + Er ist aber trotzdem vorhanden.)} + + Die zwei in (a) mit "`?"' bezeichneten Speicherzellen + wurden ebenfalls überschrieben. + Dies ist in der Ausgabe zunächst nicht sichtbar, + bewirkt aber später den Speicherzugriffsfehler. + + (Tatsächlich handelt es sich bei den überschriebenen Speicherzellen + um einen Teil der Rücksprungadresse, die \lstinline{main()} verwendet, + um mit \lstinline{return 0} an das Betriebssystem zurückzugeben.) + + \end{enumerate} + + \textbf{Hinweis 1:} + Um auf einen solchen Lösungsweg zu kommen, wird empfohlen, + "`geheimnisvolle"' Zahlen nach hexadezimal umzurechnen + und in Speicherzellen (Zweiergruppen von Hex-Ziffern) zu zerlegen. + Oft erkennt man dann direkt ASCII-Zeichen: + Großbuchstaben beginnen mit der Hex-Ziffer \lstinline{4} oder \lstinline{5}, + Kleinbuchstaben mit \lstinline{6} oder \lstinline{7}. + + \textbf{Hinweis 2:} + Um derartige Programmierfehler in der Praxis von vorneherein zu vermeiden, + wird empfohlen, anstelle von \lstinline{strcpy()} + grundsätzlich die Funktion \lstinline{strncpy()} zu verwenden. + Diese erwartet einen zusätzlichen Parameter, + der die maximal zulässige Länge des Strings enthält. + Ohne einen derartigen expliziten Parameter kann die Funktion nicht wissen, + wie lang die Variable ist, in der der String gespeichert werden soll. + +\end{document} diff --git a/20200116/hp-musterloesung-20200116.pdf b/20200116/hp-musterloesung-20200116.pdf new file mode 100644 index 0000000000000000000000000000000000000000..241351faab1a3617afcff9bab54759db2ccfa30c GIT binary patch literal 100831 zcmY!laB<T$)HCH$y>R8|4K8y91BLvgEG`=xeV^34^pXq(BQtXY1u)Qe%giZBEz)<( zNi0cqNlngANwu@%DlREXP0Z!0xOFz_ZvJgIq5AXj3-<(e?7jQG|3_83NbV&O-6D@3 z?F*l61I$uC`vfzpE?v?6`+j~}xn`ke*Q7^J3i!=5i=G#!r`K)vw%R%O!pYg`Tgv~w z`*hQMz2$rZ&z37SMV9joDjXl~f7%jlXV@pS_Ue;QiJ#8DIlgCR(X6{ZGf&l>pS|eZ z`>vOk=4QWl*KgdB`>DNsQ^vKgZ@<J(x3_(5Y&=Iok!f@MwbP*&L&BY2tM+}bk-J`D 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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: Fakultät, Länge von Strings (Neuauflage), objektorientierte Tier-Datenbank + +\documentclass[a4paper]{article} + +\usepackage{pgscript} +\usepackage{sfmath} + +\begin{document} + + \section*{Hardwarenahe Programmierung\\ + Musterlösung zu den Übungsaufgaben -- 16.\ Januar 2020} + + \exercise{Fakultät} + + Die Fakultät $n!$ einer ganzen Zahl $n \ge 0$ ist definiert als: + \begin{eqnarray*} + 1 & \mbox{für} & n = 0, \\ + n \cdot (n-1)! & \mbox{für} & n > 0. + \end{eqnarray*} + + Mit anderen Worten: $n! = 1\cdot2\cdot3\cdot\dots\cdot n$. + + Die folgende Funktion \lstinline{fak()} berechnet die Fakultät \emph{rekursiv} + (Datei: \gitfile{hp}{20200116}{aufgabe-1.c}): + + \begin{lstlisting} + int fak (int n) + { + if (n <= 0) + return 1; + else + return n * fak (n - 1); + } + \end{lstlisting} + + \begin{enumerate}[\quad(a)] + \item + Schreiben Sie eine Funktion, die die Fakultät \emph{iterativ} berechnet,\\ + d.\,h.\ mit Hilfe einer Schleife anstelle von Rekursion. + \points{3} + \item + Wie viele Multiplikationen (Landau-Symbol) + erfordern beide Versionen der Fakultätsfunktion\\ + in Abhängigkeit von \lstinline$n$? + Begründen Sie Ihre Antwort. + \points{2} + \item + Wieviel Speicherplatz (Landau-Symbol) + erfordern beide Versionen der Fakultätsfunktion\\ + in Abhängigkeit von \lstinline$n$? + Begründen Sie Ihre Antwort. + \points{3} + \end{enumerate} + + \solution + + \begin{itemize} + \item[(a)] + \textbf{Schreiben Sie eine Funktion, die die Fakultät \emph{iterativ} berechnet,\\ + d.\,h.\ mit Hilfe einer Schleife anstelle von Rekursion.} + + Datei: \gitfile{hp}{20200116}{loesung-1.c} + \begin{lstlisting}[gobble=8] + int fak (int n) + { + int f = 1; + for (int i = 2; i <= n; i++) + f *= i; + return f; + } + \end{lstlisting} + + \item[(b)] + \textbf{Wie viele Multiplikationen (Landau-Symbol) + erfordern beide Versionen der Fakultätsfunktion\\ + in Abhängigkeit von \lstinline$n$? + Begründen Sie Ihre Antwort.} + + In beiden Fällen werden $n$ Zahlen miteinander multipliziert -- + oder $n - 1$, wenn man Multiplikationen mit 1 ausspart. + In jedem Fall hängt die Anzahl der Multiplikationen + linear von $n$ ab; es sind $\mathcal{O}(n)$ Multiplikationen. + Insbesondere arbeiten also beide Versionen gleich schnell. + + \item[(c)] + \textbf{Wieviel Speicherplatz (Landau-Symbol) + erfordern beide Versionen der Fakultätsfunktion\\ + in Abhängigkeit von \lstinline$n$? + Begründen Sie Ihre Antwort.} + + Die iterative Version der Funktion benötigt 2 Variable vom Typ \lstinline{int}, + nämlich \lstinline{n} und \lstinline{f}. + Dies ist eine konstante Zahl; + der Speicherplatzverbrauch ist daher $\mathcal{O}(1)$. + + Die rekursive Version der Funktion erzeugt + jedesmal, wenn sie sich selbst aufruft, + eine zusätzliche Variable \lstinline{n}. + Es sind $n + 1$ Aufrufe; die Anzahl der Variablen \lstinline{n} + hängt linear von $n$ ab; der Speicherplatzverbrauch ist also $\mathcal{O}(n)$. + \end{itemize} + + \exercise{Länge von Strings} + + Diese Aufgabe ist eine Neuauflage von Aufgabe 3 der + Übung vom 14.\ November 2019,\\ + ergänzt um die Teilaufgaben (f) und (g). + + \medskip + + 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}{20200116}{aufgabe-2.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}{20181105}{loesung-2c-1.c} (mit Array-Index) + und \gitfile{hp}{20181105}{loesung-2c-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}{20181105}{loesung-2d-1.c} und \gitfile{hp}{20181105}{loesung-2d-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}{20181105}{loesung-2e-1.c} + realisiert dies mit einem Array-Index, + Die Funktion \lstinline{fun_4()} in der Datei \gitfile{hp}{20181105}{loesung-2e-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}{20181105}{loesung-2e-1.c} + und \gitfile{hp}{20181105}{loesung-2e-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{Objektorientierte Tier-Datenbank} + + Das auf der nächsten Seite in Blau dargestellte Programm (Datei: \gitfile{hp}{20200116}{aufgabe-3a.c})\\ + soll Daten von Tieren verwalten. + + Beim Compilieren erscheinen die folgende Fehlermeldungen: + \begin{lstlisting}[style=terminal] + $ ¡gcc -std=c99 -Wall -O aufgabe-2a.c -o aufgabe-2a¿ + aufgabe-2a.c: In function 'main': + aufgabe-2a.c:31: error: 'animal' has no member named 'wings' + aufgabe-2a.c:37: error: 'animal' has no member named 'legs' + \end{lstlisting} + + Der Programmierer nimmt die auf der nächsten Seite in Rot dargestellten Ersetzungen vor\\ + (Datei: \gitfile{hp}{20200116}{aufgabe-3b.c}). + Daraufhin gelingt das Compilieren, und die Ausgabe des Programms lautet: + \begin{lstlisting}[style=terminal] + $ ¡gcc -std=c99 -Wall -O aufgabe-2b.c -o aufgabe-2b¿ + $ ¡./aufgabe-2b¿ + A duck has 2 legs. + Error in animal: cow + \end{lstlisting} + + \begin{itemize} + \item[(a)] + Erklären Sie die o.\,a.\ Compiler-Fehlermeldungen. + \points{2} + \item[(b)] + Wieso verschwinden die Fehlermeldungen nach den o.\,a.\ Ersetzungen? + \points{3} + \item[(c)] + Erklären Sie die Ausgabe des Programms. + \points{5} + \item[(d)] + Beschreiben Sie -- in Worten und/oder als C-Quelltext -- einen Weg, + das Programm so zu berichtigen, daß es die Eingabedaten + (``A duck has 2 wings. A cow has 4 legs.'') korrekt speichert und ausgibt.\\ + \points{4} +% \item[(e)] +% Schreiben Sie das Programm so um, +% daß es keine expliziten Typumwandlungen mehr benötigt.\par +% Hinweis: Verwenden Sie \lstinline{union}. +% \points{4} +% \item[(f)] +% Schreiben Sie das Programm weiter um, +% so daß es die Objektinstanzen \lstinline{duck} und \lstinline{cow} +% dynamisch erzeugt.\par +% Hinweis: Verwenden Sie \lstinline{malloc()} und schreiben Sie Konstruktoren. +% \points{4} +% \item[(g)] +% Schreiben Sie das Programm weiter um, +% so daß die Ausgabe nicht mehr direkt im Hauptprogramm erfolgt, +% sondern stattdessen eine virtuelle Methode \lstinline{print()} +% aufgerufen wird.\par +% Hinweis: Verwenden Sie in den Objekten Zeiger auf Funktionen, +% und initialisieren Sie diese in den Konstruktoren. +% \points{4} + \end{itemize} + + \begin{minipage}[t]{0.34\textwidth} + \begin{lstlisting}[gobble=6,xleftmargin=0pt] + #include <stdio.h> + + #define ANIMAL 0 + #define WITH_WINGS 1 + #define WITH_LEGS 2 + + typedef struct animal + { + int type; + char *name; + } animal; + + typedef struct with_wings + { + int wings; + } with_wings; + + typedef struct with_legs + { + int legs; + } with_legs; + \end{lstlisting} + \end{minipage}\hfill + \begin{minipage}[t]{0.65\textwidth} + \begin{lstlisting}[gobble=6,xleftmargin=0pt] + int main (void) + { + animal *a[2]; + + animal duck; + a[0] = &duck; + a[0]->type = WITH_WINGS; + a[0]->name = "duck"; + a[0]->wings = 2; + + animal cow; + a[1] = &cow; + a[1]->type = WITH_LEGS; + a[1]->name = "cow"; + a[1]->legs = 4; + + for (int i = 0; i < 2; i++) + if (a[i]->type == WITH_LEGS) + printf ("A %s has %d legs.\n", a[i]->name, + ((with_legs *) a[i])-> legs); + else if (a[i]->type == WITH_WINGS) + printf ("A %s has %d wings.\n", a[i]->name, + ((with_wings *) a[i])-> wings); + else + printf ("Error in animal: %s\n", a[i]->name); + + return 0; + } + \end{lstlisting} + \begin{picture}(0,0) + \color{red} + \put(3.7,6.207){\vector(-1,0){0.7}} + \put(3.8,6.207){\makebox(0,0)[l]{\lstinline[basicstyle=\color{red}]{((with_legs *) a[1])->legs = 4;}}} + \put(4.0,8.735){\vector(-1,0){0.7}} + \put(4.1,8.735){\makebox(0,0)[l]{\lstinline[basicstyle=\color{red}]{((with_wings *) a[0])->wings = 2;}}} + \end{picture} + \end{minipage} + + \solution + + \begin{itemize} + \item[(a)] + \textbf{Erklären Sie die o.\,a.\ Compiler-Fehlermeldungen.} + + \lstinline{a[0]} und \lstinline{a[1]} + sind gemäß der Deklaration \lstinline{animal *a[2]} + Zeiger auf Variablen vom Typ \lstinline{animal} (ein \lstinline{struct}). + Wenn man diesen Zeiger dereferenziert (\lstinline{->}), + erhält man eine \lstinline{animal}-Variable. + Diese enthält keine Datenfelder \lstinline{wings} bzw.\ \lstinline{legs}. + + \item[(b)] + \textbf{Wieso verschwinden die Fehlermeldungen nach den o.\,a.\ Ersetzungen?} + + Durch die \emph{explizite Typumwandlung des Zeigers\/} + erhalten wir einen Zeiger auf eine \lstinline{with_wings}- + bzw.\ auf eine \lstinline{with_legs}-Variable. + Diese enthalten die Datenfelder \lstinline{wings} bzw.\ \lstinline{legs}. + + \item[(c)] + \textbf{Erklären Sie die Ausgabe des Programms.} + + Durch die explizite Typumwandlung des Zeigers + zeigt \lstinline{a[0]} auf eine \lstinline{with_wings}-Variable. + Diese enthält nur ein einziges Datenfeld \lstinline{wings}, + das an genau derselben Stelle im Speicher liegt + wie \lstinline{a[0]->type}, also das Datenfeld \lstinline{type} + der \lstinline{animal}-Variable, auf die der Zeiger \lstinline{a[0]} zeigt. + Durch die Zuweisung der Zahl \lstinline{2} + an \lstinline{((with_wings *) a[0])->wings} + überschreiben wir also \lstinline{a[0]->type}, + so daß das \lstinline{if} in der \lstinline{for}-Schleife + \lstinline{a[0]} als \lstinline{WITH_LEGS} erkennt. + + Bei der Ausgabe \lstinline[style=terminal]{A duck has 2 legs.} + wird das Datenfeld \lstinline{((with_legs *)a[0])->legs} als Zahl ausgegeben. + Dieses Datenfeld befindet sich in denselben Speicherzellen wie + \lstinline{a[0]->type} und \lstinline{((with_wings *)} % :-( + \lstinline{a[0]->wings} + und hat daher ebenfalls den Wert 2. + + Auf die gleiche Weise überschreiben wir durch die Zuweisung der Zahl 4 + an \lstinline{((with_legs *) a[1])->legs} + das Datenfeld \lstinline{a[0]->type}, + so daß das \lstinline{if} in der \lstinline{for}-Schleife + \lstinline{a[1]} als unbekanntes Tier (Nr.\ 4) erkennt und + \lstinline[style=terminal]{Error in animal: cow} ausgibt. + + \item[(d)] + \textbf{Beschreiben Sie -- in Worten und/oder als C-Quelltext -- einen Weg, + das Programm so zu berichtigen, daß es die Eingabedaten + (``A duck has 2 wings. A cow has 4 legs.'') korrekt speichert und ausgibt.} + + Damit die \emph{Vererbung\/} zwischen den Objekten + \lstinline{animal}, \lstinline{with_wings} und \lstinline{with_legs} + funktioniert, müssen die abgeleiteten Klassen \lstinline{with_wings} und \lstinline{with_legs} + alle Datenfelder der Basisklasse \lstinline{animal} erben. + In C geschieht dies explizit; die Datenfelder müssen in den + abgeleiteten Klassen neu angegeben werden + (siehe \gitfile{hp}{20200116}{loesung-3d-1.c}): + + \begin{lstlisting}[gobble=8] + typedef struct animal + { + int type; + char *name; + } animal; + + typedef struct with_wings + { + int type; + char *name; + int wings; + } with_wings; + + typedef struct with_legs + { + int type; + char *name; + int legs; + } with_legs; + \end{lstlisting} + + Zusätzlich ist es notwendig, + die Instanzen \lstinline{duck} und \lstinline{cow} + der abgeleiteten Klassen \lstinline{with_wings} und \lstinline{with_legs} + auch als solche zu deklarieren, + damit für sie genügend Speicher reserviert wird: + + \begin{lstlisting}[gobble=8] + animal *a[2]; + + with_wings duck; + a[0] = (animal *) &duck; + a[0]->type = WITH_WINGS; + a[0]->name = "duck"; + ((with_wings *) a[0])->wings = 2; + + with_legs cow; + a[1] = (animal *) &cow; + a[1]->type = WITH_LEGS; + a[1]->name = "cow"; + ((with_legs *) a[1])->legs = 4; + \end{lstlisting} + + Wenn man dies vergißt und sie nur als \lstinline{animal} deklariert, + wird auch nur Speicherplatz für (kleinere) + \lstinline{animal}-Variable angelegt. + Dadurch kommt es zu Speicherzugriffen außerhalb der + deklarierten Variablen, was letztlich zu einem Absturz führt + (siehe \gitfile{hp}{20200116}{loesung-3d-0f.c}). + + Für die Zuweisung eines Zeigers auf \lstinline{duck} + an \lstinline{a[0]}, also an einen Zeiger auf \lstinline{animal} + wird eine weitere explizite Typumwandlung notwendig. + Entsprechendes gilt für die Zuweisung eines Zeigers auf \lstinline{cow} + an \lstinline{a[1]}. + + Es ist sinnvoll, explizite Typumwandlungen so weit wie möglich zu vermeiden. + Es ist einfacher und gleichzeitig sicherer, + direkt in die Variablen \lstinline{duck} und \lstinline{cow} + zu schreiben, anstatt dies über die Zeiger \lstinline{a[0]} + und \lstinline{a[1]} zu tun + (siehe \gitfile{hp}{20200116}{loesung-3d-2.c}): + + \begin{lstlisting}[gobble=8] + animal *a[2]; + + with_wings duck; + a[0] = (animal *) &duck; + duck.type = WITH_WINGS; + duck.name = "duck"; + duck.wings = 2; + + with_legs cow; + a[1] = (animal *) &cow; + cow.type = WITH_LEGS; + cow.name = "cow"; + cow.legs = 4; + \end{lstlisting} + + \item[(e)] + \textbf{Schreiben Sie das Programm so um, + daß es keine expliziten Typumwandlungen mehr benötigt.}\par + \textbf{Hinweis: Verwenden Sie \lstinline{union}.} + + Siehe \gitfile{hp}{20200116}{loesung-3e.c}. + + Diese Lösung basiert auf \gitfile{hp}{20200116}{loesung-3d-2.c}, + da diese bereits weniger explizite Typumwandlungen enthält + als \gitfile{hp}{20200116}{loesung-3d-1.c}. + + Arbeitsschritte: + \begin{itemize} + \item + Umbenennen des Basistyps \lstinline{animal} in \lstinline{base}, + damit wir den Bezeichner \lstinline{animal} + für die \lstinline{union} verwenden können + \item + Schreiben einer \lstinline{union animal}, + die die drei Klassen \lstinline{base}, + \lstinline{with_wings} und \lstinline{with_legs} + als Datenfelder enthält + \item + Umschreiben der Initialisierungen: + Zugriff auf Datenfelder erfolgt nun durch + z.\,B.\ \lstinline{a[0]->b.name}. + Hierbei ist \lstinline{b} der Name des \lstinline{base}-Datenfelds + innerhalb der \lstinline{union animal}. + \item + Auf gleiche Weise schreiben wir die \lstinline{if}-Bedingungen + innerhalb der \lstinline{for}-Schleife + sowie die Parameter der \lstinline{printf()}-Aufrufe um. + \end{itemize} + Explizite Typumwandlungen sind nun nicht mehr nötig. + + Nachteil dieser Lösung: + Jede Objekt-Variable belegt nun Speicherplatz + für die gesamte \lstinline{union animal}, + anstatt nur für die benötigte Variable vom Typ + \lstinline{with_wings} oder \lstinline{with_legs}. + Dies kann zu einer Verschwendung von Speicherplatz führen, + auch wenn dies in diesem Beispielprogramm tatsächlich nicht der Fall ist. + + \item[(f)] + \textbf{Schreiben Sie das Programm weiter um, + so daß es die Objektinstanzen \lstinline{duck} und \lstinline{cow} + dynamisch erzeugt.}\par + \textbf{Hinweis: Verwenden Sie \lstinline{malloc()} und schreiben Sie Konstruktoren.} + + Siehe \gitfile{hp}{20200116}{loesung-3f.c}. + + \item[(g)] + \textbf{Schreiben Sie das Programm weiter um, + so daß die Ausgabe nicht mehr direkt im Hauptprogramm erfolgt, + sondern stattdessen eine virtuelle Methode \lstinline{print()} + aufgerufen wird.}\par + \textbf{Hinweis: Verwenden Sie in den Objekten Zeiger auf Funktionen, + und initialisieren Sie diese in den Konstruktoren.} + + Siehe \gitfile{hp}{20200116}{loesung-3g.c}. + + \end{itemize} + +\end{document} diff --git a/20200116/loesung-1.c b/20200116/loesung-1.c new file mode 100644 index 0000000..c2d6f60 --- /dev/null +++ b/20200116/loesung-1.c @@ -0,0 +1,16 @@ +#include <stdio.h> + +int fak (int n) +{ + int f = 1; + for (int i = 2; i <= n; i++) + f *= i; + return f; +} + +int main (void) +{ + for (int n = 0; n <= 5; n++) + printf ("%d\n", fak (n)); + return 0; +} diff --git a/20200116/loesung-2c-1.c b/20200116/loesung-2c-1.c new file mode 100644 index 0000000..69ddd0e --- /dev/null +++ b/20200116/loesung-2c-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/20200116/loesung-2c-2.c b/20200116/loesung-2c-2.c new file mode 100644 index 0000000..e783c47 --- /dev/null +++ b/20200116/loesung-2c-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/20200116/loesung-2d-1.c b/20200116/loesung-2d-1.c new file mode 100644 index 0000000..5752138 --- /dev/null +++ b/20200116/loesung-2d-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/20200116/loesung-2d-2.c b/20200116/loesung-2d-2.c new file mode 100644 index 0000000..5f3f096 --- /dev/null +++ b/20200116/loesung-2d-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/20200116/loesung-2e-1.c b/20200116/loesung-2e-1.c new file mode 100644 index 0000000..74f5add --- /dev/null +++ b/20200116/loesung-2e-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/20200116/loesung-2e-2.c b/20200116/loesung-2e-2.c new file mode 100644 index 0000000..b223d2d --- /dev/null +++ b/20200116/loesung-2e-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/20200116/loesung-3d-0f.c b/20200116/loesung-3d-0f.c new file mode 100644 index 0000000..04b2d3e --- /dev/null +++ b/20200116/loesung-3d-0f.c @@ -0,0 +1,54 @@ +#include <stdio.h> + +#define ANIMAL 0 +#define WITH_WINGS 1 +#define WITH_LEGS 2 + +typedef struct animal +{ + int type; + char *name; +} animal; + +typedef struct with_wings +{ + int type; + char *name; + int wings; +} with_wings; + +typedef struct with_legs +{ + int type; + char *name; + int legs; +} with_legs; + +int main (void) +{ + animal *a[2]; + + animal duck; + a[0] = &duck; + a[0]->type = WITH_WINGS; + a[0]->name = "duck"; + ((with_wings *) a[0])->wings = 2; + + animal cow; + a[1] = &cow; + a[1]->type = WITH_LEGS; + a[1]->name = "cow"; + ((with_legs *) a[1])->legs = 4; + + for (int i = 0; i < 2; i++) + if (a[i]->type == WITH_LEGS) + printf ("A %s has %d legs.\n", a[i]->name, + ((with_legs *) a[i])-> legs); + else if (a[i]->type == WITH_WINGS) + printf ("A %s has %d wings.\n", a[i]->name, + ((with_wings *) a[i])-> wings); + else + printf ("Error in animal: %s\n", a[i]->name); + + return 0; +} diff --git a/20200116/loesung-3d-1.c b/20200116/loesung-3d-1.c new file mode 100644 index 0000000..349523a --- /dev/null +++ b/20200116/loesung-3d-1.c @@ -0,0 +1,54 @@ +#include <stdio.h> + +#define ANIMAL 0 +#define WITH_WINGS 1 +#define WITH_LEGS 2 + +typedef struct animal +{ + int type; + char *name; +} animal; + +typedef struct with_wings +{ + int type; + char *name; + int wings; +} with_wings; + +typedef struct with_legs +{ + int type; + char *name; + int legs; +} with_legs; + +int main (void) +{ + animal *a[2]; + + with_wings duck; + a[0] = (animal *) &duck; + a[0]->type = WITH_WINGS; + a[0]->name = "duck"; + ((with_wings *) a[0])->wings = 2; + + with_legs cow; + a[1] = (animal *) &cow; + a[1]->type = WITH_LEGS; + a[1]->name = "cow"; + ((with_legs *) a[1])->legs = 4; + + for (int i = 0; i < 2; i++) + if (a[i]->type == WITH_LEGS) + printf ("A %s has %d legs.\n", a[i]->name, + ((with_legs *) a[i])-> legs); + else if (a[i]->type == WITH_WINGS) + printf ("A %s has %d wings.\n", a[i]->name, + ((with_wings *) a[i])-> wings); + else + printf ("Error in animal: %s\n", a[i]->name); + + return 0; +} diff --git a/20200116/loesung-3d-2.c b/20200116/loesung-3d-2.c new file mode 100644 index 0000000..f831a75 --- /dev/null +++ b/20200116/loesung-3d-2.c @@ -0,0 +1,54 @@ +#include <stdio.h> + +#define ANIMAL 0 +#define WITH_WINGS 1 +#define WITH_LEGS 2 + +typedef struct animal +{ + int type; + char *name; +} animal; + +typedef struct with_wings +{ + int type; + char *name; + int wings; +} with_wings; + +typedef struct with_legs +{ + int type; + char *name; + int legs; +} with_legs; + +int main (void) +{ + animal *a[2]; + + with_wings duck; + a[0] = (animal *) &duck; + duck.type = WITH_WINGS; + duck.name = "duck"; + duck.wings = 2; + + with_legs cow; + a[1] = (animal *) &cow; + cow.type = WITH_LEGS; + cow.name = "cow"; + cow.legs = 4; + + for (int i = 0; i < 2; i++) + if (a[i]->type == WITH_LEGS) + printf ("A %s has %d legs.\n", a[i]->name, + ((with_legs *) a[i])-> legs); + else if (a[i]->type == WITH_WINGS) + printf ("A %s has %d wings.\n", a[i]->name, + ((with_wings *) a[i])-> wings); + else + printf ("Error in animal: %s\n", a[i]->name); + + return 0; +} diff --git a/20200116/loesung-3e.c b/20200116/loesung-3e.c new file mode 100644 index 0000000..b984d92 --- /dev/null +++ b/20200116/loesung-3e.c @@ -0,0 +1,61 @@ +#include <stdio.h> + +#define ANIMAL 0 +#define WITH_WINGS 1 +#define WITH_LEGS 2 + +typedef struct +{ + int type; + char *name; +} base; + +typedef struct +{ + int type; + char *name; + int wings; +} with_wings; + +typedef struct +{ + int type; + char *name; + int legs; +} with_legs; + +typedef union +{ + base b; + with_wings w; + with_legs l; +} animal; + +int main (void) +{ + animal *a[2]; + + animal duck; + a[0] = &duck; + duck.b.type = WITH_WINGS; + duck.b.name = "duck"; + duck.w.wings = 2; + + animal cow; + a[1] = &cow; + cow.b.type = WITH_LEGS; + cow.b.name = "cow"; + cow.l.legs = 4; + + for (int i = 0; i < 2; i++) + if (a[i]->b.type == WITH_LEGS) + printf ("A %s has %d legs.\n", a[i]->b.name, + a[i]->l.legs); + else if (a[i]->b.type == WITH_WINGS) + printf ("A %s has %d wings.\n", a[i]->b.name, + a[i]->w.wings); + else + printf ("Error in animal: %s\n", a[i]->b.name); + + return 0; +} diff --git a/20200116/loesung-3f.c b/20200116/loesung-3f.c new file mode 100644 index 0000000..7b949e6 --- /dev/null +++ b/20200116/loesung-3f.c @@ -0,0 +1,69 @@ +#include <stdio.h> +#include <stdlib.h> + +#define ANIMAL 0 +#define WITH_WINGS 1 +#define WITH_LEGS 2 + +typedef struct +{ + int type; + char *name; +} base; + +typedef struct +{ + int type; + char *name; + int wings; +} with_wings; + +typedef struct +{ + int type; + char *name; + int legs; +} with_legs; + +typedef union +{ + base b; + with_wings w; + with_legs l; +} animal; + +animal *new_with_wings (char *name, int wings) +{ + animal *a = malloc (sizeof (with_wings)); + a->b.type = WITH_WINGS; + a->b.name = name; + a->w.wings = wings; + return a; +} + +animal *new_with_legs (char *name, int legs) +{ + animal *a = malloc (sizeof (with_legs)); + a->b.type = WITH_LEGS; + a->b.name = name; + a->l.legs = legs; + return a; +} + +int main (void) +{ + animal *a[2] = { new_with_wings ("duck", 2), + new_with_legs ("cow", 4) }; + + for (int i = 0; i < 2; i++) + if (a[i]->b.type == WITH_LEGS) + printf ("A %s has %d legs.\n", a[i]->b.name, + a[i]->l.legs); + else if (a[i]->b.type == WITH_WINGS) + printf ("A %s has %d wings.\n", a[i]->b.name, + a[i]->w.wings); + else + printf ("Error in animal: %s\n", a[i]->b.name); + + return 0; +} diff --git a/20200116/loesung-3g.c b/20200116/loesung-3g.c new file mode 100644 index 0000000..b453a52 --- /dev/null +++ b/20200116/loesung-3g.c @@ -0,0 +1,77 @@ +#include <stdio.h> +#include <stdlib.h> + +#define ANIMAL 0 +#define WITH_WINGS 1 +#define WITH_LEGS 2 + +union animal; + +typedef struct +{ + int type; + char *name; + void (*print) (union animal *this); +} base; + +typedef struct +{ + int type; + char *name; + void (*print) (union animal *this); + int wings; +} with_wings; + +typedef struct +{ + int type; + char *name; + void (*print) (union animal *this); + int legs; +} with_legs; + +typedef union animal +{ + base b; + with_wings w; + with_legs l; +} animal; + +void print_with_wings (animal *this) +{ + printf ("A %s has %d wings.\n", this->b.name, this->w.wings); +} + +void print_with_legs (animal *this) +{ + printf ("A %s has %d legs.\n", this->b.name, this->l.legs); +} + +animal *new_with_wings (char *name, int wings) +{ + animal *a = malloc (sizeof (with_wings)); + a->b.type = WITH_WINGS; + a->b.name = name; + a->b.print = print_with_wings; + a->w.wings = wings; + return a; +} + +animal *new_with_legs (char *name, int legs) +{ + animal *a = malloc (sizeof (with_legs)); + a->b.type = WITH_LEGS; + a->b.name = name; + a->b.print = print_with_legs; + a->l.legs = legs; + return a; +} + +int main (void) +{ + animal *a[2] = { new_with_wings ("duck", 2), + new_with_legs ("cow", 4) }; + for (int i = 0; i < 2; i++) + a[i]->b.print (a[i]); + return 0; +} diff --git a/20200123/hp-musterloesung-20200123.tex b/20200123/hp-musterloesung-20200123.tex index 61fdcbb..1dd6557 100644 --- a/20200123/hp-musterloesung-20200123.tex +++ b/20200123/hp-musterloesung-20200123.tex @@ -1,5 +1,5 @@ % hp-musterloesung-20191128.pdf - Solutions to the Exercises on Low-Level Programming -% Copyright (C) 2013, 2015, 2016, 2017, 2018, 2019 Peter Gerwinski +% Copyright (C) 2013, 2015, 2016, 2017, 2018, 2019, 2020 Peter Gerwinski % % This document is free software: you can redistribute it and/or % modify it either under the terms of the Creative Commons @@ -20,7 +20,7 @@ % Attribution-ShareAlike 3.0 Unported License along with this % document. If not, see <http://creativecommons.org/licenses/>. -% README: Datum-Bibliothek, Text-Grafik-Bibliothek, LED-Blinkmuster +% README: Stack-Operationen, Iteratorfunktionen, dynamisches Bit-Array \documentclass[a4paper]{article} diff --git a/README.md b/README.md index 8a0dca3..08ba7fa 100644 --- a/README.md +++ b/README.md @@ -60,7 +60,9 @@ Musterlösungen: * [14.11.2019: Ausgabe von Hexadezimalzahlen, Einfügen in Strings, Länge von Strings](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20191114/hp-musterloesung-20191114.pdf) * [21.11.2019: Zahlensysteme, Mikrocontroller](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20191121/hp-musterloesung-20191121.pdf) * [28.11.2019: Datum-Bibliothek, Text-Grafik-Bibliothek, LED-Blinkmuster](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20191128/hp-musterloesung-20191128.pdf) - * [23.01.2020: Datum-Bibliothek, Text-Grafik-Bibliothek, LED-Blinkmuster](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20200123/hp-musterloesung-20200123.pdf) + * [09.01.2020: Speicherformate von Zahlen, Zeigerarithmetik, Personen-Datenbank](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20200109/hp-musterloesung-20200109.pdf) + * [16.01.2020: Fakultät, Länge von Strings (Neuauflage), objektorientierte Tier-Datenbank](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20200116/hp-musterloesung-20200116.pdf) + * [23.01.2020: Stack-Operationen, Iteratorfunktionen, dynamisches Bit-Array](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20200123/hp-musterloesung-20200123.pdf) Tafelbilder: ------------ -- GitLab