diff --git a/20201112/hp-2020ws-p1.pdf b/20201112/hp-2020ws-p1.pdf
index 21817a9946f935f48a046ef3cc2c1f2025dc9875..53d11a2244231aeaf456105cc01b7cd12b9a817e 100644
Binary files a/20201112/hp-2020ws-p1.pdf and b/20201112/hp-2020ws-p1.pdf differ
diff --git a/20201112/hp-2020ws-p1.tex b/20201112/hp-2020ws-p1.tex
index 7eff7a252852eaa3e862ed2e50d0c571ca609bc2..46566d8a56196bbd4b5db233cec529b9968a46b1 100644
--- a/20201112/hp-2020ws-p1.tex
+++ b/20201112/hp-2020ws-p1.tex
@@ -160,10 +160,12 @@
die Dicke eines Blatts Papier messen. Beides ist jedoch möglich.
\item
- \textbf{Abgabe}
+ \textbf{Abgabe:}
Ihre Quelltexte mit den Lösungen der Praktikumsaufgabe schicken Sie bitte
per E-Mail an \file{peter.gerwinski@hs-bochum.de}
- mit dem \textbf{Betreff:} \lstinline[style=terminal]{fi2niNoh}.
+ mit dem \textbf{Betreff:} \lstinline[style=terminal]{fi2niNoh}
+ unter Angabe von Name, Matrikel-Nummer,
+ Studiengang (MI/MP/TI) und Studienmodell (KIA/KIS/GS).
\end{itemize}
@@ -181,7 +183,7 @@
\setlength{\leftskip}{3cm}
- Stand: 26.\ November 2020
+ Stand: 17.\ Dezember 2020
% Soweit nicht anders angegeben:\\
Copyright \copyright\ 2014, 2015, 2016, 2017, 2018, 2019, 2020\quad Peter Gerwinski\\
diff --git a/20201210/hp-20201210.tex b/20201210/hp-20201210.tex
index f0a92cd7a43744436b67af0486d133f5e85e7fbf..9e8407703a644366ac8af831ed7de4b56021f9b7 100644
--- a/20201210/hp-20201210.tex
+++ b/20201210/hp-20201210.tex
@@ -20,7 +20,7 @@
% Attribution-ShareAlike 3.0 Unported License along with this
% document. If not, see <http://creativecommons.org/licenses/>.
-% README: Parameter des Hauptprogramms, String-Operationen
+% README: Präprozessor, Bibliotheken einbinden und verwenden
\documentclass[10pt,t]{beamer}
diff --git a/20201217/aufgabe-2.c b/20201217/aufgabe-2.c
new file mode 100644
index 0000000000000000000000000000000000000000..5b0cb23fdd5ee15a4403808c18d2104ed49caf3f
--- /dev/null
+++ b/20201217/aufgabe-2.c
@@ -0,0 +1,62 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 320
+#define HEIGHT 240
+
+double t = 0.0;
+double dt = 0.2;
+
+int r = 5;
+
+double x = 10;
+double y = 200;
+double vx = 20;
+double vy = -60;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, y, r, 0, 2 * G_PI);
+ cairo_fill (c);
+
+ return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+ t += dt;
+ x += vx * dt;
+ y += vy * dt;
+ vx = vx;
+ vy = 0.5 * g * (t * t);
+ if (y + r >= HEIGHT)
+ vy = -vy * 0.9;
+ if (x + r >= WIDTH)
+ vx = -vx * 0.9;
+ if (x - r <= 0)
+ vx = -vx * 0.9;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+ gtk_init (&argc, &argv);
+
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_widget_show (window);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_widget_show (drawing_area);
+ gtk_container_add (GTK_CONTAINER (window), drawing_area);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ gtk_main ();
+ return 0;
+}
diff --git a/20201217/gtk-10.c b/20201217/gtk-10.c
new file mode 100644
index 0000000000000000000000000000000000000000..f7fb2d5b1c4d3f1082a15b8f3a23fb5480fdd4f1
--- /dev/null
+++ b/20201217/gtk-10.c
@@ -0,0 +1,60 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 320
+#define HEIGHT 240
+
+double x = 5;
+double y = 95;
+double vx = 0.5;
+double vy = 0.7;
+double dt = 0.05;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, HEIGHT - y, 5, 0, 2 * G_PI);
+ cairo_fill (c);
+ return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+ x += vx * dt;
+ y += vy * dt;
+ vx += 0.0 * dt;
+ vy += (-g) * dt;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+ gtk_init (&argc, &argv);
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *vbox = gtk_box_new (GTK_ORIENTATION_VERTICAL, 5);
+ gtk_container_add (GTK_CONTAINER (window), vbox);
+
+ GtkWidget *button = gtk_button_new_with_label ("Quit");
+ g_signal_connect (button, "clicked", G_CALLBACK (gtk_main_quit), NULL);
+ gtk_container_add (GTK_CONTAINER (vbox), button);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_container_add (GTK_CONTAINER (vbox), drawing_area);
+ g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ g_timeout_add (50, (GSourceFunc) timer, drawing_area);
+
+ gtk_widget_show (drawing_area);
+ gtk_widget_show (button);
+ gtk_widget_show (vbox);
+ gtk_widget_show (window);
+ gtk_main ();
+ return 0;
+}
diff --git a/20201217/gtk-11.c b/20201217/gtk-11.c
new file mode 100644
index 0000000000000000000000000000000000000000..1fa3d7169dc09ed0a5e89abffdce3cb297509842
--- /dev/null
+++ b/20201217/gtk-11.c
@@ -0,0 +1,60 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 640
+#define HEIGHT 480
+
+double x = 5;
+double y = 95;
+double vx = 0.5;
+double vy = 0.7;
+double dt = 0.05;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, HEIGHT - y, 5, 0, 2 * G_PI);
+ cairo_fill (c);
+ return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+ x += vx * dt;
+ y += vy * dt;
+ vx += 0.0 * dt;
+ vy += (-g) * dt;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+ gtk_init (&argc, &argv);
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *vbox = gtk_box_new (GTK_ORIENTATION_VERTICAL, 5);
+ gtk_container_add (GTK_CONTAINER (window), vbox);
+
+ GtkWidget *button = gtk_button_new_with_label ("Quit");
+ g_signal_connect (button, "clicked", G_CALLBACK (gtk_main_quit), NULL);
+ gtk_container_add (GTK_CONTAINER (vbox), button);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_container_add (GTK_CONTAINER (vbox), drawing_area);
+ g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ g_timeout_add (50, (GSourceFunc) timer, drawing_area);
+
+ gtk_widget_show (drawing_area);
+ gtk_widget_show (button);
+ gtk_widget_show (vbox);
+ gtk_widget_show (window);
+ gtk_main ();
+ return 0;
+}
diff --git a/20201217/gtk-12.c b/20201217/gtk-12.c
new file mode 100644
index 0000000000000000000000000000000000000000..e0c274336e1ea7a21983daaa95a563796b532e25
--- /dev/null
+++ b/20201217/gtk-12.c
@@ -0,0 +1,60 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 640
+#define HEIGHT 480
+
+double x = 5;
+double y = 95;
+double vx = 5.0;
+double vy = 0.7;
+double dt = 0.05;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, HEIGHT - y, 5, 0, 2 * G_PI);
+ cairo_fill (c);
+ return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+ x += vx * dt;
+ y += vy * dt;
+ vx += 0.0 * dt;
+ vy += (-g) * dt;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+ gtk_init (&argc, &argv);
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *vbox = gtk_box_new (GTK_ORIENTATION_VERTICAL, 5);
+ gtk_container_add (GTK_CONTAINER (window), vbox);
+
+ GtkWidget *button = gtk_button_new_with_label ("Quit");
+ g_signal_connect (button, "clicked", G_CALLBACK (gtk_main_quit), NULL);
+ gtk_container_add (GTK_CONTAINER (vbox), button);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_container_add (GTK_CONTAINER (vbox), drawing_area);
+ g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ g_timeout_add (50, (GSourceFunc) timer, drawing_area);
+
+ gtk_widget_show (drawing_area);
+ gtk_widget_show (button);
+ gtk_widget_show (vbox);
+ gtk_widget_show (window);
+ gtk_main ();
+ return 0;
+}
diff --git a/20201217/gtk-13.c b/20201217/gtk-13.c
new file mode 100644
index 0000000000000000000000000000000000000000..a91d9abf14066d773103a8fca1e2c41abad40be3
--- /dev/null
+++ b/20201217/gtk-13.c
@@ -0,0 +1,60 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 640
+#define HEIGHT 480
+
+double x = 5;
+double y = 95;
+double vx = 50.0;
+double vy = 0.7;
+double dt = 0.05;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, HEIGHT - y, 5, 0, 2 * G_PI);
+ cairo_fill (c);
+ return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+ x += vx * dt;
+ y += vy * dt;
+ vx += 0.0 * dt;
+ vy += (-g) * dt;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+ gtk_init (&argc, &argv);
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *vbox = gtk_box_new (GTK_ORIENTATION_VERTICAL, 5);
+ gtk_container_add (GTK_CONTAINER (window), vbox);
+
+ GtkWidget *button = gtk_button_new_with_label ("Quit");
+ g_signal_connect (button, "clicked", G_CALLBACK (gtk_main_quit), NULL);
+ gtk_container_add (GTK_CONTAINER (vbox), button);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_container_add (GTK_CONTAINER (vbox), drawing_area);
+ g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ g_timeout_add (50, (GSourceFunc) timer, drawing_area);
+
+ gtk_widget_show (drawing_area);
+ gtk_widget_show (button);
+ gtk_widget_show (vbox);
+ gtk_widget_show (window);
+ gtk_main ();
+ return 0;
+}
diff --git a/20201217/gtk-16.c b/20201217/gtk-16.c
new file mode 100644
index 0000000000000000000000000000000000000000..0901dd7f491ca219cceb6c1f344291de0c154f38
--- /dev/null
+++ b/20201217/gtk-16.c
@@ -0,0 +1,63 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 640
+#define HEIGHT 480
+#define RADIUS 5
+
+double x = 5;
+double y = 95;
+double vx = 50.0;
+double vy = 70.0;
+double dt = 0.05;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, HEIGHT - y, RADIUS, 0, 2 * G_PI);
+ cairo_fill (c);
+ return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+ x += vx * dt;
+ y += vy * dt;
+ vx += 0.0 * dt;
+ vy += (-g) * dt;
+ if (x + RADIUS >= WIDTH)
+ vx = -vx;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+ gtk_init (&argc, &argv);
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *vbox = gtk_box_new (GTK_ORIENTATION_VERTICAL, 5);
+ gtk_container_add (GTK_CONTAINER (window), vbox);
+
+ GtkWidget *button = gtk_button_new_with_label ("Quit");
+ g_signal_connect (button, "clicked", G_CALLBACK (gtk_main_quit), NULL);
+ gtk_container_add (GTK_CONTAINER (vbox), button);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_container_add (GTK_CONTAINER (vbox), drawing_area);
+ g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ g_timeout_add (50, (GSourceFunc) timer, drawing_area);
+
+ gtk_widget_show (drawing_area);
+ gtk_widget_show (button);
+ gtk_widget_show (vbox);
+ gtk_widget_show (window);
+ gtk_main ();
+ return 0;
+}
diff --git a/20201217/gtk-9.c b/20201217/gtk-9.c
new file mode 100644
index 0000000000000000000000000000000000000000..7beb24ccbed561b4f7451838ea1120fe71cf8b1c
--- /dev/null
+++ b/20201217/gtk-9.c
@@ -0,0 +1,60 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 320
+#define HEIGHT 240
+
+double x = 5;
+double y = 95;
+double vx = 0.5;
+double vy = 0.7;
+double dt = 0.05;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, y, 5, 0, 2 * G_PI);
+ cairo_fill (c);
+ return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+ x += vx * dt;
+ y += vy * dt;
+ vx += 0.0 * dt;
+ vy += (-g) * dt;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+ gtk_init (&argc, &argv);
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *vbox = gtk_box_new (GTK_ORIENTATION_VERTICAL, 5);
+ gtk_container_add (GTK_CONTAINER (window), vbox);
+
+ GtkWidget *button = gtk_button_new_with_label ("Quit");
+ g_signal_connect (button, "clicked", G_CALLBACK (gtk_main_quit), NULL);
+ gtk_container_add (GTK_CONTAINER (vbox), button);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_container_add (GTK_CONTAINER (vbox), drawing_area);
+ g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);
+ gtk_widget_set_size_request (drawing_area, 100, 100);
+
+ g_timeout_add (50, (GSourceFunc) timer, drawing_area);
+
+ gtk_widget_show (drawing_area);
+ gtk_widget_show (button);
+ gtk_widget_show (vbox);
+ gtk_widget_show (window);
+ gtk_main ();
+ return 0;
+}
diff --git a/20201217/hp-20201217.pdf b/20201217/hp-20201217.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..173a2277de52dffc99c4e949574ebe3797c9d641
Binary files /dev/null and b/20201217/hp-20201217.pdf differ
diff --git a/20201217/hp-20201217.tex b/20201217/hp-20201217.tex
new file mode 100644
index 0000000000000000000000000000000000000000..be44ed7ba94b35fb895021d5cd18d64683abaaaa
--- /dev/null
+++ b/20201217/hp-20201217.tex
@@ -0,0 +1,930 @@
+% hp-20201217.pdf - Lecture Slides on Low-Level Programming
+% Copyright (C) 2012, 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: make, Differentialgleichungen
+
+\documentclass[10pt,t]{beamer}
+
+\usepackage{pgslides}
+\usepackage{pdftricks}
+\usepackage{tikz}
+
+\begin{psinputs}
+ \usepackage[utf8]{inputenc}
+ \usepackage[german]{babel}
+ \usepackage[T1]{fontenc}
+ \usepackage{helvet}
+ \renewcommand*\familydefault{\sfdefault}
+ \usepackage{pstricks,pst-grad}
+\end{psinputs}
+
+\title{Hardwarenahe Programmierung}
+\author{Prof.\ Dr.\ rer.\ nat.\ Peter Gerwinski}
+\date{17.\ Dezember 2020}
+
+\begin{document}
+
+\maketitleframe
+
+\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}
+ \begin{itemize}
+ \color{medgreen}
+ \item[3.1] Der Präprozessor
+ \item[3.2] Bibliotheken einbinden
+ \item[3.3] Bibliotheken verwenden
+ \color{red}
+ \item[3.4] Projekt organisieren: make
+ \vspace*{-\smallskipamount}
+ \item[\dots]
+ \end{itemize}
+ \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+ \item[\textbf{5}] \textbf{Algorithmen}
+ \vspace*{-\smallskipamount}
+ \item[\textbf{\dots}]
+ \end{itemize}
+
+\end{frame}
+
+\setcounter{section}{2}
+\section{Bibliotheken}
+\subsection{Der Präprozessor}
+
+\begin{frame}[fragile]
+
+ \showsection
+ \showsubsection
+
+ \lstinline{#include}: %\pause:
+ Text einbinden
+ \begin{itemize}
+% \pause
+ \item
+ \lstinline{#include <stdio.h>}: Standard-Verzeichnisse -- Standard-Header
+% \pause
+ \item
+ \lstinline{#include "answer.h"}: auch aktuelles Verzeichnis -- eigene Header
+ \end{itemize}
+
+% \pause
+ \bigskip
+
+ \lstinline{#define VIER 4}: Text ersetzen lassen -- Konstante definieren
+ \begin{itemize}
+% \pause
+ \item
+ Kein Semikolon!
+% \pause
+ \item
+ Berechnungen in Klammern setzen:\\
+ \lstinline{#define VIER (2 + 2)}
+% \pause
+ \item
+ Konvention: Großbuchstaben
+ \end{itemize}
+
+\end{frame}
+
+\subsection{Bibliotheken einbinden}
+
+\begin{frame}[fragile]
+
+ \showsection
+ \showsubsection
+
+ Inhalt der Header-Datei: externe Deklarationen
+
+% \pause
+ \smallskip
+ \lstinline{extern int answer (void);}
+
+% \pause
+ \smallskip
+ \lstinline{extern int printf (__const char *__restrict __format, ...);}
+
+% \pause
+ \bigskip
+ Funktion wird "`anderswo"' definiert
+ \begin{itemize}
+% \pause
+ \item
+ separater C-Quelltext: mit an \lstinline[style=terminal]{gcc} übergeben
+% \pause
+ \item
+ Zusammenfügen zu ausführbarem Programm durch den \newterm{Linker}
+% \pause
+ \item
+ vorcompilierte Bibliothek: \lstinline[style=terminal]{-lfoo}\\
+% \pause
+ = Datei \file{libfoo.a} in Standard-Verzeichnis
+ \end{itemize}
+
+\end{frame}
+
+\subsection{Bibliothek verwenden (Beispiel: GTK+)}
+
+\begin{frame}[fragile]
+
+ \showsubsection
+
+ \begin{itemize}
+ \item
+ \lstinline{#include <gtk/gtk.h>}
+% \pause
+ \smallskip
+ \item
+ Mit \lstinline[style=cmd]{pkg-config --cflags --libs} erfährt man,\\
+ welche Optionen und Bibliotheken man an \lstinline[style=cmd]{gcc}
+ übergeben muß\alt<1->{.}{:}
+% \pause
+ \begin{onlyenv}<1>
+ \begin{lstlisting}[style=terminal,gobble=10]
+ $ ¡pkg-config --cflags --libs gtk+-3.0¿
+ -pthread -I/usr/include/gtk-3.0 -I/usr/include/at-spi2-
+ atk/2.0 -I/usr/include/at-spi-2.0 -I/usr/include/dbus-1
+ .0 -I/usr/lib/x86_64-linux-gnu/dbus-1.0/include -I/usr/
+ include/gtk-3.0 -I/usr/include/gio-unix-2.0/ -I/usr/inc
+ lude/cairo -I/usr/include/pango-1.0 -I/usr/include/harf
+ buzz -I/usr/include/pango-1.0 -I/usr/include/atk-1.0 -I
+ /usr/include/cairo -I/usr/include/pixman-1 -I/usr/inclu
+ de/freetype2 -I/usr/include/libpng16 -I/usr/include/gdk
+ -pixbuf-2.0 -I/usr/include/libpng16 -I/usr/include/glib
+ -2.0 -I/usr/lib/x86_64-linux-gnu/glib-2.0/include -lgtk
+ -3 -lgdk-3 -lpangocairo-1.0 -lpango-1.0 -latk-1.0 -lcai
+ ro-gobject -lcairo -lgdk_pixbuf-2.0 -lgio-2.0 -lgobject
+ -2.0 -lglib-2.0
+ \end{lstlisting}
+ \vspace*{-3cm}
+ \end{onlyenv}
+ \pause
+ \arrowitem
+ Compiler-Aufruf:
+ \begin{onlyenv}<2>
+ \begin{lstlisting}[style=terminal,gobble=10]
+ $ ¡gcc -Wall -O hello-gtk.c -pthread -I/usr/include/gtk-
+ 3.0 -I/usr/include/at-spi2-atk/2.0 -I/usr/include/at-sp
+ i-2.0 -I/usr/include/dbus-1.0 -I/usr/lib/x86_64-linux-g
+ nu/dbus-1.0/include -I/usr/include/gtk-3.0 -I/usr/inclu
+ de/gio-unix-2.0/ -I/usr/include/cairo -I/usr/include/pa
+ ngo-1.0 -I/usr/include/harfbuzz -I/usr/include/pango-1.
+ 0 -I/usr/include/atk-1.0 -I/usr/include/cairo -I/usr/in
+ clude/pixman-1 -I/usr/include/freetype2 -I/usr/include/
+ libpng16 -I/usr/include/gdk-pixbuf-2.0 -I/usr/include/l
+ ibpng16 -I/usr/include/glib-2.0 -I/usr/lib/x86_64-linux
+ -gnu/glib-2.0/include -lgtk-3 -lgdk-3 -lpangocairo-1.0
+ -lpango-1.0 -latk-1.0 -lcairo-gobject -lcairo -lgdk_pix
+ buf-2.0 -lgio-2.0 -lgobject-2.0 -lglib-2.0 -o hello-gtk¿
+ \end{lstlisting}
+ \vspace*{-2cm}
+ \end{onlyenv}
+ \begin{onlyenv}<3->
+ \begin{lstlisting}[style=terminal,gobble=10]
+ $ ¡gcc -Wall -O hello-gtk.c $(pkg-config --cflags --libs
+ gtk+-3.0 -o hello-gtk¿
+ \end{lstlisting}
+ \end{onlyenv}
+ \begin{onlyenv}<3>
+ \begin{picture}(0,0)(0.3,0.3)
+ \color{red}
+ \put(6.6,-0.6){\makebox(0,0)[bl]{\tikz{\draw[-latex](0,0)--(3,1.5);}}}
+ \put(6.3,-0.7){\makebox(0,0)[t]{\shortstack{\strut Optionen:\\
+ \strut u.\,a.\ viele Include-Verzeichnisse:\\
+ \lstinline[style=cmd]{-I/usr/include/gtk-3.0}}}}
+ \put(10.0,-2.1){\makebox(0,0)[bl]{\tikz{\draw[-latex](0,0)--(1.5,3);}}}
+ \put(10.3,-2.2){\makebox(0,0)[t]{\shortstack{\strut Bibliotheken:\\
+ \strut u.\,a.\ \lstinline[style=cmd]{-lgtk-3 -lcairo}\qquad\strut}}}
+ \end{picture}
+ \end{onlyenv}
+ \pause
+ \pause
+ \item
+ Auf manchen Plattformen kommt es auf die Reihenfolge an:
+ \begin{lstlisting}[style=terminal,gobble=8]
+ $ ¡gcc -Wall -O $(pkg-config --cflags gtk+-3.0) \
+ hello-gtk.c $(pkg-config --libs gtk+-3.0) \
+ -o hello-gtk¿
+ \end{lstlisting}
+ (Backslash = "`Es geht in der nächsten Zeile weiter."')
+ \end{itemize}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \showsubsection
+
+ Selbst geschriebene Funktion übergeben: \newterm{Callback}
+
+ \bigskip
+
+ \begin{lstlisting}[xleftmargin=1em]
+ gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+ {
+ /* Zeichenbefehle */
+ ...
+
+ return FALSE;
+ }
+
+ ...
+
+ g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);
+ \end{lstlisting}
+
+ \medskip
+
+ \begin{itemize}
+ \arrowitem
+ GTK+ ruft immer dann, wenn es etwas zu zeichnen gibt,\\
+ die Funktion \lstinline{draw} auf.
+ \end{itemize}
+
+% \pause
+ \begin{picture}(0,0)(-0.07,0.2)
+ \color{red}
+ \put(5.3,4.8){\makebox(0,0)[bl]{\tikz{\draw[-latex](0,0)--(1.90,1.15);}}}
+ \put(5.0,4.7){\makebox(0,0)[t]{\shortstack{\strut repräsentiert den\\
+ \strut Bildschirm, auf den\\
+ \strut gezeichnet werden soll}}}
+% \pause
+ \put(9.7,5.1){\makebox(0,0)[br]{\tikz{\draw[-latex](0,0)--(-0.2,0.85);}}}
+ \put(9.7,5.0){\makebox(0,0)[t]{\shortstack{\strut optionale Zusatzinformationen\\
+ \strut für draw(), typischerweise\\
+ \strut ein Zeiger auf ein struct}}}
+ \put(10.0,3.5){\makebox(0,0)[tl]{\tikz{\draw[-latex](0,0)--(0.6,-1.25);}}}
+ \end{picture}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \showsubsection
+
+ Selbst geschriebene Funktion übergeben: \newterm{Callback}
+
+ \bigskip
+
+ \begin{lstlisting}[xleftmargin=1em]
+ gboolean timer (GtkWidget *widget)
+ {
+ /* Rechenbefehle */
+ ...
+
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+ }
+
+ ...
+
+ g_timeout_add (50, (GSourceFunc) timer, drawing_area);
+ \end{lstlisting}
+
+ \medskip
+
+ \begin{itemize}
+ \arrowitem
+ GTK+ ruft nach 50 Millisekunden
+ die Funktion \lstinline{timer} auf.
+ \end{itemize}
+
+% \pause
+ \begin{picture}(0,0)(-0.07,0.2)
+ \color{red}
+ \put(9.7,6.7){\makebox(0,0)[t]{\shortstack{\strut Dieser Bereich soll\\
+ \strut neu gezeichnet werden.}}}
+ \put(9.7,5.7){\makebox(0,0)[tr]{\tikz{\draw[-latex](0,0)--(-0.6,-0.8);}}}
+% \pause
+ \put(4.3,3.2){\makebox(0,0)[br]{\tikz{\draw[-latex](0,0)--(-0.7,0.6);}}}
+ \put(4.3,3.1){\makebox(0,0)[t]{\shortstack{\strut In weiteren 50 Millisekunden soll\\
+ \strut die Funktion erneut aufgerufen werden.}}}
+% \pause
+ \put(9.3,2.9){\makebox(0,0)[br]{\tikz{\draw[-latex](0,0)--(-3.3,0.9);}}}
+ \put(9.8,2.8){\makebox(0,0)[t]{\shortstack{\strut Explizite Typumwandlung\\
+ \strut eines Zeigers (später)}}}
+ \end{picture}
+
+\end{frame}
+
+\subsection{Projekt organisieren: make}
+
+\begin{frame}[fragile]
+
+ \showsubsection
+ \begin{itemize}
+ \item
+ \only<4->{explizite und implizite} Regeln
+ \begin{onlyenv}<2>
+ \smallskip
+ \begin{lstlisting}[language=make,gobble=10]
+ philosophy: philosophy.o answer.o
+ gcc philosophy.o answer.o -o philosophy
+
+ answer.o: answer.c answer.h
+ gcc -Wall -O answer.c -c
+
+ philosophy.o: philosophy.c answer.h
+ gcc -Wall -O philosophy.c -c
+ \end{lstlisting}
+ \end{onlyenv}
+ \begin{onlyenv}<4>
+ \smallskip
+ \begin{lstlisting}[language=make,gobble=10]
+ TARGET = philosophy
+ OBJECTS = philosophy.o answer.o
+ HEADERS = answer.h
+ CFLAGS = -Wall -O
+
+ $(TARGET): $(OBJECTS)
+ gcc $(OBJECTS) -o $(TARGET)
+
+ %.o: %.c $(HEADERS)
+ gcc $(CFLAGS) $< -c
+
+ clean:
+ rm -f $(OBJECTS) $(TARGET)
+ \end{lstlisting}
+ \end{onlyenv}
+ \item
+ Makros
+ \begin{onlyenv}<3>
+ \smallskip
+ \begin{lstlisting}[language=make,gobble=10]
+ TARGET = philosophy
+ OBJECTS = philosophy.o answer.o
+ HEADERS = answer.h
+ CFLAGS = -Wall -O
+
+ $(TARGET): $(OBJECTS)
+ gcc $(OBJECTS) -o $(TARGET)
+
+ answer.o: answer.c $(HEADERS)
+ gcc $(CFLAGS) answer.c -c
+
+ philosophy.o: philosophy.c $(HEADERS)
+ gcc $(CFLAGS) philosophy.c -c
+
+ clean:
+ rm -f $(OBJECTS) $(TARGET)
+ \end{lstlisting}
+ \vspace*{-1cm}
+ \end{onlyenv}
+ \begin{onlyenv}<5->
+ \smallskip
+ \arrowitem
+ 3 Sprachen: C, Präprozessor, make
+ \end{onlyenv}
+ \end{itemize}
+
+\end{frame}
+
+\section{Algorithmen}
+\subsection{Differentialgleichungen}
+
+\begin{frame}[fragile]
+
+ \showsection
+ \showsubsection
+
+ \textbf{Beispiel 1: Gleichmäßig beschleunigte Bewegung}
+
+ \strut\hfill
+ \begin{minipage}{2.5cm}
+ \vspace*{0.6cm}
+ \begin{align*}
+ x'(t) &= v_x(t) \\[0.65cm]
+ y'(t) &= v_y(t) \\[0.75cm]
+ v_x'(t) &= 0 \\[0.65cm]
+ v_y'(t) &= -g
+ \end{align*}
+ \vspace*{0.0cm}
+ \end{minipage}%
+ \only<1>{\hspace*{9.49cm}}\strut
+ \only<2->{\hfill$\Rightarrow$\hfill}%
+ \begin{onlyenv}<2-8>
+ \begin{minipage}{8.3cm}
+ \begin{align*}
+ x(t) &= \int v_x(t)\,dt
+ \visible<4->{= \int v_{0x}\,dt}
+ \visible<5->{= x_0 + v_{0x}\cdot t}\\[\medskipamount]
+ y(t) &= \int v_y(t)\,dt
+ \visible<7->{= \int v_{0y} - g\cdot t\,dt}
+ \visible<8->{= y_0 + v_{0y}\cdot t
+ - {\textstyle\frac12}gt^2}\\[\bigskipamount]
+ v_x(t) &= \int 0\,dt
+ \visible<3->{= v_{0x}} \\[\medskipamount]
+ v_y(t) &= \int -g\,dt
+ \visible<6->{= v_{0y} - g\cdot t}
+ \end{align*}
+ \end{minipage}%
+ \end{onlyenv}%
+ \begin{onlyenv}<9->
+ \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}
+ \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}
+
+\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.git}}}
+ \item[\textbf{2}] \textbf{Einführung in C}
+ \item[\textbf{3}] \textbf{Bibliotheken}
+ \begin{itemize}
+ \item[3.1] Der Präprozessor
+ \item[3.2] Bibliotheken einbinden
+ \item[3.3] Bibliotheken verwenden
+ \color{medgreen}
+ \item[3.4] Projekt organisieren: make
+ \end{itemize}
+ \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+ \begin{itemize}
+ \color{red}
+ \item[4.1] Bit-Operationen
+ \item[4.2] I/O-Ports
+ \item[4.3] Interrupts
+ \vspace*{-0.1cm}
+ \item[\dots]
+ \end{itemize}
+ \item[\textbf{5}] \textbf{Algorithmen}
+ \begin{itemize}
+ \color{medgreen}
+ \item[5.1] Differentialgleichungen
+ \color{black}
+ \vspace*{-0.1cm}
+ \item[\dots]
+ \end{itemize}
+ \item[\textbf{\dots}]
+% \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+% \item[\textbf{5}] \textbf{Algorithmen}
+% \item[\textbf{6}] \textbf{Ergänzungen und Ausblicke}
+ \end{itemize}
+ \vspace*{-1cm}
+
+\end{frame}
+
+\iffalse
+
+\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}
+ \begin{itemize}
+ \vspace*{-\smallskipamount}
+ \item[\dots]
+ \item[2.10] Zeiger
+ \color{medgreen}
+ \item[2.11] Arrays und Strings
+ \item[2.12] Strukturen
+ \item[2.13] Dateien und Fehlerbehandlung
+ \color{red}
+ \item[2.14] Parameter des Hauptprogramms
+ \item[2.15] String-Operationen
+ \end{itemize}
+ \item[\textbf{3}] \textbf{Bibliotheken}
+% \begin{itemize}
+% \color{red}
+% \item[3.1] Der Präprozessor
+% \item[3.2] Bibliotheken einbinden
+% \item[3.3] Bibliotheken verwenden
+% \vspace*{-\smallskipamount}
+% \item[\dots]
+%% \item[3.4] Projekt organisieren: make
+% \end{itemize}
+% \vspace*{-\smallskipamount}
+ \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+ \begin{itemize}
+ \color{red}
+ \item[4.1] Bit-Operationen
+ \item[4.2] I/O-Ports
+ \color{black}
+ \item[4.3] Interrupts
+ \vspace*{-0.1cm}
+ \item[\dots]
+ \end{itemize}
+ \item[\textbf{5}] \textbf{Algorithmen}
+ \item[\textbf{\dots}]
+ \end{itemize}
+
+\end{frame}
+
+\setcounter{section}{3}
+\section{Hardwarenahe Programmierung}
+\subsection{Bit-Operationen}
+\subsubsection{Zahlensysteme}
+
+\begin{frame}[fragile]
+
+ \showsection
+ \vspace*{-\smallskipamount}
+ \showsubsection
+ \vspace*{-\medskipamount}
+ \showsubsubsection
+
+ \begin{tabular}{rlrl}
+ Basis & Name & Beispiel & Anwendung \\[\smallskipamount]
+ 2 & Binärsystem & 1\,0000\,0011 & Bit-Operationen \\
+ 8 & Oktalsystem & \lstinline,0403, & Dateizugriffsrechte (Unix) \\
+ 10 & Dezimalsystem & \lstinline,259, & Alltag \\
+ 16 & Hexadezimalsystem & \lstinline,0x103, & Bit-Operationen \\
+ 256 & (keiner gebräuchlich) & 0.0.1.3 & IP-Adressen (IPv4)
+ \end{tabular}
+
+ \bigskip
+
+ \begin{itemize}
+ \item
+ Computer rechnen im Binärsystem.
+ \item
+ Für viele Anwendungen (z.\,B.\ I/O-Ports, Grafik, \dots) ist es notwendig,\\
+ Bits in Zahlen einzeln ansprechen zu können.
+ \end{itemize}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \showsubsubsection
+
+ \begin{tabular}{rlrlrc}
+ \qquad 000 & \bf 0 \hspace*{1.5cm} & 0000 & \bf 0 & \quad 1000 & \bf 8\\
+ 001 & \bf 1 & 0001 & \bf 1 & 1001 & \bf 9\\
+ 010 & \bf 2 & 0010 & \bf 2 & 1010 & \bf A\\
+ 011 & \bf 3 & 0011 & \bf 3 & 1011 & \bf B\\[\smallskipamount]
+ 100 & \bf 4 & 0100 & \bf 4 & 1100 & \bf C\\
+ 101 & \bf 5 & 0101 & \bf 5 & 1101 & \bf D\\
+ 110 & \bf 6 & 0110 & \bf 6 & 1110 & \bf E\\
+ 111 & \bf 7 & 0111 & \bf 7 & 1111 & \bf F\\
+ \end{tabular}
+
+ \medskip
+
+ \begin{itemize}
+ \item
+ Oktal- und Hexadezimalzahlen lassen sich ziffernweise\\
+ in Binär-Zahlen umrechnen.
+ \item
+ Hexadezimalzahlen sind eine Kurzschreibweise für Binärzahlen,\\
+ gruppiert zu jeweils 4 Bits.
+ \item
+ Oktalzahlen sind eine Kurzschreibweise für Binärzahlen,\\
+ gruppiert zu jeweils 3 Bits.
+ \item
+ Trotz Taschenrechner u.\,ä.\ lohnt es sich,\\
+ die o.\,a.\ Umrechnungstabelle \textbf{auswendig} zu kennen.
+ \end{itemize}
+
+\end{frame}
+
+\subsubsection{Bit-Operationen in C}
+
+\begin{frame}[fragile]
+
+ \showsubsubsection
+
+ \begin{tabular}{lll}
+ C-Operator & Verknüpfung & Anwendung \\[\smallskipamount]
+ \lstinline,&, & Und & Bits gezielt löschen \\
+ \lstinline,|, & Oder & Bits gezielt setzen \\
+ \lstinline,^, & Exklusiv-Oder & Bits gezielt invertieren \\
+ \lstinline,~, & Nicht & Alle Bits invertieren \\[\smallskipamount]
+ \lstinline,<<, & Verschiebung nach links & Maske generieren \\
+ \lstinline,>>, & Verschiebung nach rechts & Bits isolieren
+ \end{tabular}
+
+ \bigskip
+
+ Numerierung der Bits: von rechts ab 0
+
+ \medskip
+
+ \begin{tabular}{ll}
+ Bit Nr.\ 3 auf 1 setzen: &
+ \lstinline,a |= 1 << 3;, \\
+ Bit Nr.\ 4 auf 0 setzen: &
+ \lstinline,a &= ~(1 << 4);, \\
+ Bit Nr.\ 0 invertieren: &
+ \lstinline,a ^= 1 << 0;,
+ \end{tabular}
+
+ \smallskip
+
+ ~~Abfrage, ob Bit Nr.\ 1 gesetzt ist:\quad
+ \lstinline{if (a & (1 << 1))}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \showsubsubsection
+
+ C-Datentypen für Bit-Operationen:
+ \smallskip\par
+ \lstinline{#include <stdint.h>}
+ \medskip\par
+ \begin{tabular}{lllll}
+ & 8 Bit & 16 Bit & 32 Bit & 64 Bit \\
+ mit Vorzeichen & \lstinline,int8_t,
+ & \lstinline,int16_t,
+ & \lstinline,int32_t,
+ & \lstinline,int64_t, \\
+ ohne Vorzeichen & \lstinline,uint8_t,
+ & \lstinline,uint16_t,
+ & \lstinline,uint32_t,
+ & \lstinline,uint64_t,
+ \end{tabular}
+
+ \bigskip
+ \bigskip
+
+ Ausgabe:
+ \smallskip\par
+ \begin{lstlisting}
+ #include <stdio.h>
+ #include <stdint.h>
+ #include <inttypes.h>
+ ...
+ uint64_t x = 42;
+ printf ("Die Antwort lautet: %" PRIu64 "\n", x);
+ \end{lstlisting}
+
+ \bigskip
+
+ Aufgabe: Schreiben Sie C-Funktionen, die ein "`Array von Bits"' realisieren, z.\,B.
+
+ \smallskip
+
+ \begin{tabular}[t]{ll}
+ \lstinline|void set_bit (int i);| & Bei Index $i$ auf 1 setzen \\
+ \lstinline|void clear_bit (int i);| & Bei Index $i$ auf 0 setzen \\
+ \lstinline|int get_bit (int i);| & Bei Index $i$ lesen
+ \end{tabular}
+
+ \medskip
+
+ Hinweise:
+ \begin{itemize}
+ \item
+ Die Größe des Bit-"`Arrays"' (z.\,B.\ 1000) dürfen Sie als \emph{vorher bekannt\/} voraussetzen.
+ \item
+ Sie benötigen ein Array, z.\,B.\ von \lstinline|char|- oder \lstinline|int|-Variablen.
+ \item
+ Sie benötigen eine Division (\lstinline|/|) sowie den Divisionsrest (Modulo: \lstinline|%|).
+ \end{itemize}
+
+\end{frame}
+
+\subsection{I/O-Ports}
+
+\begin{frame}[fragile]
+
+% \showsection
+ \showsubsection
+ \vspace*{-1.5\medskipamount}
+ {\large\textbf{\color{structure}4.3\quad Interrupts}}
+
+ \bigskip
+
+ Kommunikation mit externen Geräten
+
+ \bigskip
+
+ \begin{center}
+ \includegraphics{io-ports-and-interrupts.pdf}
+ \end{center}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \showsubsection
+
+ In Output-Port schreiben = Aktoren ansteuern
+
+ Beispiel: LED
+
+ \medskip
+
+ \begin{lstlisting}
+ #include <avr/io.h>
+ ...
+ DDRC = 0x70;
+ PORTC = 0x40;
+ \end{lstlisting}
+ \begin{picture}(0,0)
+ \put(3,0.67){\begin{minipage}{3cm}
+ \color{red}%
+ binär: 0111\,0000\\
+ binär: 0100\,0000
+ \end{minipage}}
+ \put(10,0.67){\makebox(0,0)[r]{\color{red}Herstellerspezifisch!}}
+ \end{picture}
+
+ \bigskip
+
+ \lstinline{DDR} = Data Direction Register\\
+ Bit = 1 für Output-Port\\
+ Bit = 0 für Input-Port
+
+ \bigskip
+
+ \emph{Details: siehe Datenblatt und Schaltplan}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \showsubsection
+
+ Aus Input-Port lesen = Sensoren abfragen
+
+ Beispiel: Taster
+
+ \medskip
+
+ \begin{lstlisting}
+ #include <avr/io.h>
+ ...
+ DDRC = 0xfd;
+ while ((PINC & 0x02) == 0)
+ ; /* just wait */
+ \end{lstlisting}
+ \begin{picture}(0,0)(-1.5,-0.42)
+ \put(3,0.67){\begin{minipage}{3cm}
+ \color{red}%
+ binär: 1111\,1101\\
+ binär: 0000\,0010
+ \end{minipage}}
+ \put(10,0.67){\makebox(0,0)[r]{\color{red}Herstellerspezifisch!}}
+ \end{picture}
+
+ \bigskip
+
+ \lstinline{DDR} = Data Direction Register\\
+ Bit = 1 für Output-Port\\
+ Bit = 0 für Input-Port
+
+ \bigskip
+
+ \emph{Details: siehe Datenblatt und Schaltplan}
+
+ \bigskip
+
+ Praktikumsaufgabe: Druckknopfampel
+
+\end{frame}
+
+\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}
+ \begin{itemize}
+ \vspace*{-\smallskipamount}
+ \item[\dots]
+ \item[2.10] Zeiger
+ \item[2.11] Arrays und Strings
+ \item[2.12] Strukturen
+ \item[2.13] Dateien und Fehlerbehandlung
+ \color{medgreen}
+ \item[2.14] Parameter des Hauptprogramms
+ \item[2.15] String-Operationen
+ \end{itemize}
+ \item[\textbf{3}] \textbf{Bibliotheken}
+% \begin{itemize}
+% \color{red}
+% \item[3.1] Der Präprozessor
+% \item[3.2] Bibliotheken einbinden
+% \item[3.3] Bibliotheken verwenden
+% \vspace*{-\smallskipamount}
+% \item[\dots]
+%% \item[3.4] Projekt organisieren: make
+% \end{itemize}
+% \vspace*{-\smallskipamount}
+ \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+ \begin{itemize}
+ \color{medgreen}
+ \item[4.1] Bit-Operationen
+ \item[4.2] I/O-Ports
+ \color{red}
+ \item[4.3] Interrupts
+ \vspace*{-0.1cm}
+ \item[\dots]
+ \end{itemize}
+ \item[\textbf{5}] \textbf{Algorithmen}
+ \item[\textbf{\dots}]
+ \end{itemize}
+
+\end{frame}
+
+\fi
+
+\end{document}
diff --git a/20201217/hp-2020ws-p2.pdf b/20201217/hp-2020ws-p2.pdf
new file mode 100644
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diff --git a/20201217/hp-2020ws-p2.tex b/20201217/hp-2020ws-p2.tex
new file mode 100644
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--- /dev/null
+++ b/20201217/hp-2020ws-p2.tex
@@ -0,0 +1,201 @@
+% hp-2020ws-p2.pdf - Labor Notes on Low-Level Programming
+% Copyright (C) 2014, 2015, 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: Versuch 2: Weltraum-Simulation
+
+\documentclass[a4paper]{article}
+
+\usepackage{pgscript}
+\usepackage{multicol}
+%\usepackage{sfmath}
+
+\sloppy
+\raggedcolumns
+\pagestyle{empty}
+\addtolength{\textheight}{1cm}
+\newcommand{\sep}{~$\cdot$~}
+\newcommand{\mylicense}{CC BY-SA (Version 4.0) oder GNU GPL (Version 3 oder höher)}
+
+\begin{document}
+
+ \makebox(0,0.005)[tl]{\includegraphics[scale=0.72]{logo-hochschule-bochum-cvh-text-v2.pdf}}\hfill
+ \makebox(0,0)[tr]{\includegraphics[scale=0.5]{logo-hochschule-bochum.pdf}}
+ \par\bigskip\bigskip
+ \begin{center}
+ \Large\textbf{Praktikumsversuch 2: Weltraum-Simulation}
+ \par\medskip
+ \normalsize Hardwarenahe Programmierung\sep
+ Wintersemester 2020/21\sep
+ Prof.~Dr.~Peter Gerwinski
+ \end{center}
+
+ Aufgabe: Schreiben Sie ein C-Programm,
+ das die Bahnen von beliebig vielen Massenpunkten unter Einfluß der Gravitation
+ simuliert und in bewegter Grafik darstellt.
+
+ \begin{multicols}{2}
+
+ \begin{itemize}
+ \item
+ Zwei Massenpunkte ("`Himmelskörper"') mit den Massen $m_i$ und $m_j$
+ an den Orten $\vec{r}_i$ und $\vec{r}_j$ ziehen einander an.
+ Diese Kraft heißt Gravitation. Sie hat den Betrag:
+ \begin{equation}
+ |\vec{F}_{ij}| = \frac{m_j\cdot m_i\cdot G}{|\vec{r}_j - \vec{r}_i|^2}
+ \end{equation}
+ Hierbei ist $G$ eine Konstante (Gravitationskonstante).
+
+ \item
+ Die auf einen Himmelskörper wirkende Gesamtkraft $\vec{F}_i$
+ ergibt sich als Summe der von allen anderen Himmelskörpern herrührenden
+ Gravitationskräfte:
+ \begin{equation}
+ \vec{F}_i = \sum_{j=0,\,j\ne i}^{N - 1} \vec{F}_{ij}
+ \end{equation}
+
+ \item
+ Die Gravitationskraft beschleunigt jeden Himmelskörper gemäß:
+ \begin{equation}
+ \vec{F_i} = m_i\cdot \vec{a_i}
+ \end{equation}
+
+ \item
+ Beispiel: Wir betrachten zwei Himmelskörper. Einer davon ("`Zentralgestirn"')
+ ruht im Zentrum ($\vec{r}_0 = 0$, $\vec{v}_0 = 0$)
+ und hat eine wesentlich größere Masse als der andere
+ ("`Satellit"', $m_1 \ll m_0$). Mit geeignetem Anfangsort $\vec{r}_1$
+ und geeigneter Anfangsgeschwindigkeit $\vec{v}_1$ beschreibt dann
+ der Satellit eine elliptische Umlaufbahn um das Zentralgestirn.
+
+ \item
+ Wir rechnen in zwei Dimensionen $x$ und $y$.
+
+ \item
+ Für die Zerlegung einer Kraft $\vec{F}_{ij}$ in $x$- und $y$-Komponenten
+ benötigen Sie nur die Grundrechenarten und die Wurzelfunktion,
+ jedoch insbesondere \emph{keine} trigonometrischen Funktionen:
+ \begin{equation}
+ \vec{F}_{ij} = |\vec{F}_{ij}| \cdot \frac{\vec{r}_j - \vec{r}_i}{|\vec{r}_j - \vec{r}_i|}
+ \end{equation}
+
+ \item
+ Die Wurzelfunktion \lstinline{sqrt()} finden Sie
+ in der Mathematik-Bibliothek.
+ Um diese zu nutzen, verwenden Sie \lstinline{#include <math.h>} im Quelltext,
+ und geben Sie beim \lstinline[style=cmd]{gcc}-Aufruf
+ \lstinline[style=cmd]{-lm} mit an.
+
+ \columnbreak
+
+ \item
+ Für die Simulation betrachten wir das System in kurzen Zeitintervallen $dt$
+ und berechnen die Änderungen des Ortes $\vec{r}_i = (x_i,y_i)$
+ und der Geschwindigkeit $\vec{v}_i = (v_{xi},v_{yi})$ jedes Himmelskörpers
+ mit Hilfe des expliziten Eulerschen Polygonzugverfahrens.
+ \par
+ (Wer möchte, darf natürlich auch andere Verfahren anwenden,
+ beispielsweise das klassische Runge-Kutta-Verfahren 4.~Ordnung.)
+
+ \item
+ Für eine derartige Simulation
+ einschließlich ihrer Darstellung als bewegte Grafik
+ können Sie sich von dem Beispiel-Programm \gitfile{hp}{20201217}{gtk-16.c}
+ inspirieren lassen.
+% (Compilieren mit:
+% \lstinline[style=cmd]{gcc}
+% \lstinline[style=cmd]{-Wall}
+% \lstinline[style=cmd]{-O}
+% \lstinline[style=cmd]{gtk-16.c}
+% \lstinline[style=cmd]{$(pkg-config}
+% \lstinline[style=cmd]{--cflags}
+% \lstinline[style=cmd]{--libs}
+% \lstinline[style=cmd]{gtk+-3.0)}
+% \lstinline[style=cmd]{-o}
+% \lstinline[style=cmd]{gtk-16})
+
+ \item
+ In einer \file{GTK+}-\lstinline{drawing_area}
+ liegt der Nullpunkt der Zeichnung oben links,
+ eine Längeneinheit entspricht einem Pixel,
+ und die $y$-Koordinate wächst nach unten.
+ Es empfiehlt sich, die Koordinaten so umzurechnen,
+ daß der Nullpunkt in der Mitte der Zeichnung liegt,
+ die Längeneinheit Ihrem persönlichen Geschmack entspricht
+ und die $y$-Koordinate nach oben wächst.
+
+ \item
+ Beispiel-Szenarien für 3 oder mehr Körper:
+ \vspace{-\smallskipamount}
+ \begin{itemize}\itemsep0pt
+ \item
+ Planet mit Mond umkreist Sonne
+ \item
+ Sonne mit mehreren Planeten, die sich gegenseitig beeinflussen
+ \item
+ zwei Sonnen umkreisen sich gegenseitig, Planet kreist drumherum
+ \item
+ Raumsonde besucht nacheinander mehrere Planeten
+ \end{itemize}
+
+ \item
+ \textbf{Hinweis:}
+ Speichern Sie die verschiedenen Körper nicht als separate Variable,
+ sondern in einem Array. Ihr Programm wird dadurch nicht nur flexibler,
+ sondern auch übersichtlicher und weniger fehleranfällig.
+
+ \item
+ \textbf{Abgabe:}
+ Ihre Quelltexte mit den Lösungen der Praktikumsaufgabe schicken Sie bitte
+ per E-Mail an \file{peter.gerwinski@hs-bochum.de}
+ mit dem \textbf{Betreff:} \lstinline[style=terminal]{aezeev1C}
+ unter Angabe von Name, Matrikel-Nummer,
+ Studiengang (MI/MP/TI) und Studienmodell (KIA/KIS/GS).
+
+ \end{itemize}
+
+ \end{multicols}
+
+ \vspace*{-\bigskipamount}
+
+ \strut\hfill\emph{Viel Erfolg!}\qquad\qquad
+
+ \vfill
+
+ \begingroup
+
+ \small
+
+ \setlength{\leftskip}{3cm}
+
+ Stand: 17.\ Dezember 2020
+
+% Soweit nicht anders angegeben:\\
+ Copyright \copyright\ 2014, 2015, 2018, 2019, 2020\quad Peter Gerwinski\\
+ Lizenz: \mylicense
+
+ Sie können diese Praktikumsunterlagen einschließlich \LaTeX-Quelltext
+ und Beispielprogramm herunterladen unter:
+ \url{https://gitlab.cvh-server.de/pgerwinski/hp}
+
+ \endgroup
+
+\end{document}
diff --git a/20201217/hp-musterloesung-20201217.pdf b/20201217/hp-musterloesung-20201217.pdf
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--- /dev/null
+++ b/20201217/hp-musterloesung-20201217.tex
@@ -0,0 +1,326 @@
+% hp-musterloesung-20201217.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: Kondensator, hüpfender Ball
+
+\documentclass[a4paper]{article}
+
+\usepackage{pgscript}
+\usepackage{gnuplot-lua-tikz}
+
+\begin{document}
+
+ \section*{Hardwarenahe Programmierung\\
+ Musterlösung zu den Übungsaufgaben -- 17.\ Dezember 2020}
+
+ \exercise{Kondensator}
+
+ Ein Kondensator der Kapazität $C = 100\,\mu{\rm F}$
+ ist auf die Spannung $U_0 = 5\,{\rm V}$ aufgeladen
+ und wird über einen Widerstand $R = 33\,{\rm k}\Omega$ entladen.
+
+ \begin{enumerate}[(a)]
+ \item
+ Schreiben Sie ein C-Programm, das
+ den zeitlichen Spannungsverlauf in einer Tabelle darstellt.
+ \points{5}
+ \item
+ Schreiben Sie ein C-Programm, das ermittelt,
+ wie lange es dauert, bis die Spannung unter $0.1\,{\rm V}$ gefallen ist.
+ \points{4}
+ \item
+ Vergleichen Sie die berechneten Werte mit der exakten theoretischen Entladekurve:
+ \begin{math}
+ U(t) = U_0 \cdot e^{-\frac{t}{RC}}
+ \end{math}\\
+ \points{3}
+ \end{enumerate}
+
+ Hinweise:
+ \begin{itemize}
+ \item
+ Für die Simulation zerlegen wir den Entladevorgang in kurze Zeitintervalle $dt$.
+ Innerhalb jedes Zeitintervalls betrachten wir den Strom $I$ als konstant
+ und berechnen, wieviel Ladung $Q$ innerhalb des Zeitintervalls
+ aus dem Kondensator herausfließt.
+ Aus der neuen Ladung berechnen wir die Spannung am Ende des Zeitintervalls.
+ \item
+ Für den Vergleich mit der exakten theoretischen Entladekurve
+ benötigen Sie die Exponentialfunktion \lstinline{exp()}.
+ Diese finden Sie in der Mathematik-Bibliothek:
+ \lstinline{#include <math.h>} im Quelltext,
+ beim \lstinline[style=cmd]{gcc}-Aufruf \lstinline[style=cmd]{-lm} mit angeben.
+ \item
+ $Q = C \cdot U$,\quad $U = R \cdot I$,\quad $I = \frac{dQ}{dt}$
+ \end{itemize}
+
+ \solution
+
+ \begin{itemize}
+ \item
+ \textbf{Schreiben Sie ein C-Programm, das
+ den zeitlichen Spannungsverlauf in einer Tabelle darstellt.}
+
+ In dem Programm \gitfile{hp}{20201217}{loesung-1a.c}
+ arbeiten wir, dem ersten Hinweis folgend,
+ mit einem Zeitintervall von \lstinline{dt = 0.01}.
+ Mit dieser Schrittweite lassen wir uns eine Tabelle ausgeben,
+ die jeweils die Zeit und durch die Simulation berechnete Spannung ausgibt.
+
+ Wir simulieren, wie die Ladung $Q = C \cdot U$ des Kondensators
+ im Laufe der Zeit abfließt.
+ Dazu berechnen wir in jedem Zeitschritt zunächst den Strom $I = U / R$,
+ der aus dem Kondensator fließt.
+ Dieser Strom bewirkt, daß innerhalb des Zeitintervalls $dt$
+ die Ladung $dQ = I \cdot dt$ aus dem Kondensator abfließt.
+ Am Ende des Zeitintervalls berechnen wir die zur neuen Ladung $Q$
+ gehörende neue Spannung $U = Q / C$.
+
+ Für eine einfache Ausgabe der Tabelle
+ verwenden wir die Formatspezifikationen \lstinline{%10.3lf} für drei
+ bzw.\ \lstinline{%15.8lf} für acht Nachkommastellen Genauigkeit.
+ Damit schreiben wir jeweils eine \emph{lange Fließkommazahl\/} (\lstinline{%lf})
+ rechtsbündig in ein Feld der Breite 10 bzw.\ 15
+ und lassen uns 3 bzw.\ 8 Nachkommastellen ausgeben.
+
+ Wir compilieren das Programm mit:
+ \lstinline[style=cmd]{gcc -Wall -O loesung-1a.c -o loesung-1a}
+
+ \item
+ \textbf{Schreiben Sie ein C-Programm, das ermittelt,
+ wie lange es dauert, bis die Spannung unter \boldmath $0.1\,{\rm V}$ gefallen ist.}
+
+ Wir ändern das Programm \gitfile{hp}{20201217}{loesung-1a.c} so ab,
+ daß zum einen die Schleife abbricht, sobald die Spannung
+ den Wert $0.1\,{\rm V}$ unterschreitet (\gitfile{hp}{20201217}{loesung-1b.c}),
+ und daß zum anderen nicht jedesmal eine Zeile für die Tabelle ausgegeben wird,
+ sondern erst am Ende die Zeit (und die Spannung).
+
+ Der Ausgabe entnehmen wir, daß die Spannung bei etwa $t = 12.90\,{\rm s}$
+ den Wert $0.1\,{\rm V}$ unterschreitet.
+
+ \item
+ \textbf{Vergleichen Sie die berechneten Werte
+ mit der exakten theoretischen Entladekurve:\\[0.5\smallskipamount]
+ \boldmath
+ \begin{math}
+ U(t) = U_0 \cdot e^{-\frac{t}{RC}}
+ \end{math}}
+
+ Wir ändern das Programm \gitfile{hp}{20201217}{loesung-1a.c} so ab,
+ daß es zusätzlich zur Zeit und zur simulierten Spannung
+ die exakte Spannung $U_0 \cdot e^{-\frac{t}{RC}}$
+ gemäß der theoretischen Entladekurve ausgibt (\gitfile{hp}{20201217}{loesung-1c.c}),
+
+ Da dieses Programm die Exponentialfunktion verwendet, müssen wir nun
+ beim Compilieren zusätzlich \lstinline[style=cmd]{-lm}\hspace{1pt}
+ für das Einbinden der Mathematik-Bibliothek angeben.
+
+ Der erweiterten Tabelle können wir entnehmen,
+ daß die durch die Simulation berechnete Spannung
+ mit der Spannung $U_0 \cdot e^{-\frac{t}{RC}}$
+ gemäß der theoretischen Entladekurve
+ bis auf wenige Prozent übereinstimmt.
+ Dies ist für viele praktische Anwendungen ausreichend,
+ wenn auch nicht für Präzisionsmessungen.
+
+ Wenn Sie die Ausgabe des Programms, z.\,B.\ mit
+ \lstinline[style=cmd]{./loesung-1c > loesung-1c.dat},
+ in einer Datei \gitfile{hp}{20201217}{loesung-1c.dat} speichern,
+ können Sie sich die beiden Kurven graphisch darstellen lassen,
+ z.\,B.\ mit \file{gnuplot} und dem folgenden Befehl:
+ \begin{lstlisting}[style=cmd,gobble=8]
+ plot "loesung-1c.dat" using 1:2 with lines title "Simulation",
+ "loesung-1c.dat" using 1:3 with lines title "Theorie"
+ \end{lstlisting}
+ \begin{center}
+ \input{loesung-1c.tikz}
+ \end{center}
+
+ Der Unterschied zwischen der simulierten und der theoretischen Entladungskurve
+ ist mit bloßem Auge nicht sichtbar.
+ \end{itemize}
+
+ \vfill
+
+ \exercise{Fehlerhaftes Programm: Hüpfender Ball}
+
+ Das auf der nächsten Seite abgedruckte GTK+-Programm
+ (Datei: \gitfile{hp}{20201217}{aufgabe-2.c}) soll einen
+ hüpfenden Ball darstellen, ist jedoch fehlerhaft.
+
+ \begin{enumerate}[\quad(a)]
+ \item
+ Warum sieht man lediglich ein leeres Fenster?
+ Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben?
+ \points{3}
+ \item
+ Nach der Fehlerbehebung in Aufgabenteil (a)
+ zeigt das Programm einen unbeweglichen Ball.
+ Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben, und warum?
+ \points{2}
+ \item
+ Erklären Sie das merkwürdige Hüpfverhalten des Balls.
+ Wie kommt es zustande?
+ Was an diesem Verhalten ist korrekt, und was ist fehlerhaft? \points{5}
+ \item
+ Welche Befehle muß man in welcher Weise ändern,
+ um ein realistischeres Hüpf-Verhalten zu bekommen? \points{2}
+ \end{enumerate}
+
+ Hinweis: Das Hinzuziehen von Beispiel-Programmen aus der Vorlesung
+ ist ausdrücklich erlaubt -- auch in der Klausur.
+
+ Allgemeiner Hinweis:
+ Wenn Sie die Übungsaufgaben zu dieser Lehrveranstaltung
+ als PDF-Datei betrachten und darin auf die Dateinamen klicken,
+ können Sie die Beispiel-Programme direkt herunterladen.
+ Dadurch vermeiden Sie Übertragungsfehler.
+
+ \clearpage
+
+ \vbox to \textheight{\vspace*{-0.5cm}\begin{lstlisting}
+ #include <gtk/gtk.h>
+
+ #define WIDTH 320
+ #define HEIGHT 240
+
+ double t = 0.0;
+ double dt = 0.2;
+
+ int r = 5;
+
+ double x = 10;
+ double y = 200;
+ double vx = 20;
+ double vy = -60;
+ double g = 9.81;
+
+ gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+ {
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, y, r, 0, 2 * G_PI);
+ cairo_fill (c);
+
+ return FALSE;
+ }
+
+ gboolean timer (GtkWidget *widget)
+ {
+ t += dt;
+ x += vx * dt;
+ y += vy * dt;
+ vx = vx;
+ vy = 0.5 * g * (t * t);
+ if (y + r >= HEIGHT)
+ vy = -vy * 0.9;
+ if (x + r >= WIDTH)
+ vx = -vx * 0.9;
+ if (x - r <= 0)
+ vx = -vx * 0.9;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+ }
+
+ int main (int argc, char **argv)
+ {
+ gtk_init (&argc, &argv);
+
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_widget_show (window);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_widget_show (drawing_area);
+ gtk_container_add (GTK_CONTAINER (window), drawing_area);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ gtk_main ();
+ return 0;
+ }
+ \end{lstlisting}\vss}
+
+ \solution
+
+ \begin{enumerate}[\quad(a)]
+ \item
+ \textbf{Warum sieht man lediglich ein leeres Fenster?
+ Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben?}
+
+ Die für das Zeichnen zuständige Callback-Funktion wurde zwar geschrieben,
+ aber nicht installiert.
+ Um dies zu beheben, ergänze man den folgenden Befehl im Hauptprogramm:
+
+ \lstinline{g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);}
+
+ Dies erkennt man sehr schnell durch Vergleich mit dem Beispiel-Programm
+ \gitfile{hp}{20201217}{gtk-16.c}.
+
+ \item
+ \textbf{Nach der Fehlerbehebung in Aufgabenteil (a)
+ zeigt das Programm einen unbeweglichen Ball.
+ Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben, und warum?}
+
+ Die Timer-Callback-Funktion wurde zwar geschrieben, aber nicht installiert.
+ Um dies zu beheben, ergänze man den folgenden Befehl im Hauptprogramm:
+
+ \lstinline{g_timeout_add (50, (GSourceFunc) timer, drawing_area);}
+
+ Auch dies erkennt man sehr schnell durch Vergleich mit dem Beispiel-Programm
+ \gitfile{hp}{20201217}{gtk-16.c}.
+
+ \item
+ \textbf{Erklären Sie das merkwürdige Hüpfverhalten des Balls.
+ Wie kommt es zustande?
+ Was an diesem Verhalten ist korrekt, und was ist fehlerhaft?}
+
+ Die Geschwindigkeit in $y$-Richtung wächst immer weiter.
+ Der Grund dafür ist, daß die $y$-Komponente der Geschwindigkeit
+ nicht auf physikalisch sinnvolle Weise berechnet wird.
+ In der dafür zuständigen Zeile
+ \lstinline{vy = 0.5 * g * (t * t);}
+ wird stattdessen der Weg in $y$-Richtung bei einer gleichmäßig
+ beschleunigten Bewegung berechnet und als Geschwindigkeit verwendet.
+
+ \item
+ \textbf{Welche Befehle muß man in welcher Weise ändern,
+ um ein realistischeres Hüpf-Verhalten zu bekommen?}
+
+ Da der Ball am Boden abprallen soll, ist es \emph{nicht\/} sinnvoll,
+ die $y$-Komponente der Geschwindigkeit über die bekannte physikalische
+ Formel $v_y = -g\cdot t$ für die Geschwindigkeit in einer
+ gleichmäßig beschleunigten Bewegung zu berechnen.
+
+ Stattdessen ist es sinnvoll, die \emph{Geschwindigkeitsänderung\/}
+ innerhalb des Zeitintervalls \lstinline{dt}
+ zur Geschwindigkeitskomponente zu addieren:
+ \lstinline{vy += g * dt;}
+
+ Auch dies erkennt man sehr schnell durch Vergleich mit dem Beispiel-Programm
+ \gitfile{hp}{20201217}{gtk-16.c}.
+ \end{enumerate}
+
+\end{document}
diff --git a/20201217/hp-uebung-20201217.pdf b/20201217/hp-uebung-20201217.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..0e0a9dd70fa2689fdffa47b22ff53faf76d9534f
Binary files /dev/null and b/20201217/hp-uebung-20201217.pdf differ
diff --git a/20201217/hp-uebung-20201217.tex b/20201217/hp-uebung-20201217.tex
new file mode 100644
index 0000000000000000000000000000000000000000..c751465ed845232f67ea819201ea0c875d465d49
--- /dev/null
+++ b/20201217/hp-uebung-20201217.tex
@@ -0,0 +1,193 @@
+% hp-uebung-20201217.pdf - 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: Kondensator, hüpfender Ball
+
+\documentclass[a4paper]{article}
+
+\usepackage{pgscript}
+
+\begin{document}
+
+% \thispagestyle{empty}
+
+ \section*{Hardwarenahe Programmierung\\
+ Übungsaufgaben -- 17.\ Dezember 2020}
+
+ 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{Kondensator}
+
+ Ein Kondensator der Kapazität $C = 100\,\mu{\rm F}$
+ ist auf die Spannung $U_0 = 5\,{\rm V}$ aufgeladen
+ und wird über einen Widerstand $R = 33\,{\rm k}\Omega$ entladen.
+
+ \begin{enumerate}[(a)]
+ \item
+ Schreiben Sie ein C-Programm, das
+ den zeitlichen Spannungsverlauf in einer Tabelle darstellt.
+ \points{5}
+ \item
+ Schreiben Sie ein C-Programm, das ermittelt,
+ wie lange es dauert, bis die Spannung unter $0.1\,{\rm V}$ gefallen ist.
+ \points{4}
+ \item
+ Vergleichen Sie die berechneten Werte mit der exakten theoretischen Entladekurve:
+ \begin{math}
+ U(t) = U_0 \cdot e^{-\frac{t}{RC}}
+ \end{math}\\
+ \points{3}
+ \end{enumerate}
+
+ Hinweise:
+ \begin{itemize}
+ \item
+ Für die Simulation zerlegen wir den Entladevorgang in kurze Zeitintervalle $dt$.
+ Innerhalb jedes Zeitintervalls betrachten wir den Strom $I$ als konstant
+ und berechnen, wieviel Ladung $Q$ innerhalb des Zeitintervalls
+ aus dem Kondensator herausfließt.
+ Aus der neuen Ladung berechnen wir die Spannung am Ende des Zeitintervalls.
+ \item
+ Für den Vergleich mit der exakten theoretischen Entladekurve
+ benötigen Sie die Exponentialfunktion \lstinline{exp()}.
+ Diese finden Sie in der Mathematik-Bibliothek:
+ \lstinline{#include <math.h>} im Quelltext,
+ beim \lstinline[style=cmd]{gcc}-Aufruf \lstinline[style=cmd]{-lm} mit angeben.
+ \item
+ $Q = C \cdot U$,\quad $U = R \cdot I$,\quad $I = \frac{dQ}{dt}$
+ \end{itemize}
+
+ \exercise{Fehlerhaftes Programm: Hüpfender Ball}
+
+ Das auf der nächsten Seite abgedruckte GTK+-Programm
+ (Datei: \gitfile{hp}{20201217}{aufgabe-2.c}) soll einen
+ hüpfenden Ball darstellen, ist jedoch fehlerhaft.
+
+ \begin{enumerate}[\quad(a)]
+ \item
+ Warum sieht man lediglich ein leeres Fenster?
+ Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben?
+ \points{3}
+ \item
+ Nach der Fehlerbehebung in Aufgabenteil (a)
+ zeigt das Programm einen unbeweglichen Ball.
+ Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben, und warum?
+ \points{2}
+ \item
+ Erklären Sie das merkwürdige Hüpfverhalten des Balls.
+ Wie kommt es zustande?
+ Was an diesem Verhalten ist korrekt, und was ist fehlerhaft? \points{5}
+ \item
+ Welche Befehle muß man in welcher Weise ändern,
+ um ein realistischeres Hüpf-Verhalten zu bekommen? \points{2}
+ \end{enumerate}
+
+ Hinweis: Das Hinzuziehen von Beispiel-Programmen aus der Vorlesung
+ ist ausdrücklich erlaubt -- auch in der Klausur.
+
+ Allgemeiner Hinweis:
+ Wenn Sie die Übungsaufgaben zu dieser Lehrveranstaltung
+ als PDF-Datei betrachten und darin auf die Dateinamen klicken,
+ können Sie die Beispiel-Programme direkt herunterladen.
+ Dadurch vermeiden Sie Übertragungsfehler.
+
+ \bigskip
+
+ \begin{flushright}
+ \textit{Viel Erfolg!}
+ \end{flushright}
+
+ \clearpage
+
+ \vbox to \textheight{\vspace*{-0.5cm}\begin{lstlisting}
+ #include <gtk/gtk.h>
+
+ #define WIDTH 320
+ #define HEIGHT 240
+
+ double t = 0.0;
+ double dt = 0.2;
+
+ int r = 5;
+
+ double x = 10;
+ double y = 200;
+ double vx = 20;
+ double vy = -60;
+ double g = 9.81;
+
+ gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+ {
+ GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+
+ gdk_cairo_set_source_rgba (c, &blue);
+ cairo_arc (c, x, y, r, 0, 2 * G_PI);
+ cairo_fill (c);
+
+ return FALSE;
+ }
+
+ gboolean timer (GtkWidget *widget)
+ {
+ t += dt;
+ x += vx * dt;
+ y += vy * dt;
+ vx = vx;
+ vy = 0.5 * g * (t * t);
+ if (y + r >= HEIGHT)
+ vy = -vy * 0.9;
+ if (x + r >= WIDTH)
+ vx = -vx * 0.9;
+ if (x - r <= 0)
+ vx = -vx * 0.9;
+ gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+ g_timeout_add (50, (GSourceFunc) timer, widget);
+ return FALSE;
+ }
+
+ int main (int argc, char **argv)
+ {
+ gtk_init (&argc, &argv);
+
+ GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+ gtk_widget_show (window);
+ gtk_window_set_title (GTK_WINDOW (window), "Hello");
+ g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+ GtkWidget *drawing_area = gtk_drawing_area_new ();
+ gtk_widget_show (drawing_area);
+ gtk_container_add (GTK_CONTAINER (window), drawing_area);
+ gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+ gtk_main ();
+ return 0;
+ }
+ \end{lstlisting}\vss}
+
+ \makeatletter
+ \immediate\write\@mainaux{\string\gdef\string\totalpoints{\arabic{points}}}
+ \makeatother
+
+\end{document}
diff --git a/20201217/loesung-1a.c b/20201217/loesung-1a.c
new file mode 100644
index 0000000000000000000000000000000000000000..f355706a6ff6f95bd72897123a985fb2b7ead7c3
--- /dev/null
+++ b/20201217/loesung-1a.c
@@ -0,0 +1,22 @@
+#include <stdio.h>
+#include <math.h>
+
+int main (void)
+{
+ double C = 0.0001;
+ double U0 = 5.0;
+ double U = U0;
+ double R = 33000.0;
+ double t = 0.0;
+ double dt = 0.01;
+ double Q = C * U;
+ while (U > 0.09)
+ {
+ printf ("%10.3lf%15.8lf\n", t, U);
+ double I = U / R;
+ Q -= I * dt;
+ U = Q / C;
+ t += dt;
+ }
+ return 0;
+}
diff --git a/20201217/loesung-1b.c b/20201217/loesung-1b.c
new file mode 100644
index 0000000000000000000000000000000000000000..f5fc22022ef10a1b986bbd11fba8298a7547792d
--- /dev/null
+++ b/20201217/loesung-1b.c
@@ -0,0 +1,22 @@
+#include <stdio.h>
+#include <math.h>
+
+int main (void)
+{
+ double C = 0.0001;
+ double U0 = 5.0;
+ double U = U0;
+ double R = 33000.0;
+ double t = 0.0;
+ double dt = 0.01;
+ double Q = C * U;
+ while (U >= 0.1)
+ {
+ double I = U / R;
+ Q -= I * dt;
+ U = Q / C;
+ t += dt;
+ }
+ printf ("%10.3lf%15.8lf\n", t, U);
+ return 0;
+}
diff --git a/20201217/loesung-1c.c b/20201217/loesung-1c.c
new file mode 100644
index 0000000000000000000000000000000000000000..71802e036dd56534470028b61f646d297d1d8840
--- /dev/null
+++ b/20201217/loesung-1c.c
@@ -0,0 +1,22 @@
+#include <stdio.h>
+#include <math.h>
+
+int main (void)
+{
+ double C = 0.0001;
+ double U0 = 5.0;
+ double U = U0;
+ double R = 33000.0;
+ double t = 0.0;
+ double dt = 0.01;
+ double Q = C * U;
+ while (U > 0.09)
+ {
+ printf ("%10.3lf%15.8lf%15.8lf\n", t, U, U0 * exp (-t / (R * C)));
+ double I = U / R;
+ Q -= I * dt;
+ U = Q / C;
+ t += dt;
+ }
+ return 0;
+}
diff --git a/20201217/loesung-1c.dat b/20201217/loesung-1c.dat
new file mode 100644
index 0000000000000000000000000000000000000000..4df706295bde25a74e025c5335f43617d93129a8
--- /dev/null
+++ b/20201217/loesung-1c.dat
@@ -0,0 +1,1324 @@
+ 0.000 5.00000000 5.00000000
+ 0.010 4.98484848 4.98487142
+ 0.020 4.96974288 4.96978861
+ 0.030 4.95468306 4.95475144
+ 0.040 4.93966887 4.93975977
+ 0.050 4.92470017 4.92481346
+ 0.060 4.90977684 4.90991237
+ 0.070 4.89489873 4.89505637
+ 0.080 4.88006570 4.88024532
+ 0.090 4.86527762 4.86547908
+ 0.100 4.85053436 4.85075752
+ 0.110 4.83583577 4.83608050
+ 0.120 4.82118172 4.82144789
+ 0.130 4.80657208 4.80685956
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+\draw[gp path] (1.012,8.381)--(1.012,0.616)--(11.947,0.616)--(11.947,8.381)--cycle;
+%% coordinates of the plot area
+\gpdefrectangularnode{gp plot 1}{\pgfpoint{1.012cm}{0.616cm}}{\pgfpoint{11.947cm}{8.381cm}}
+\end{tikzpicture}
+%% gnuplot variables
diff --git a/20201217/logo-hochschule-bochum-cvh-text-v2.pdf b/20201217/logo-hochschule-bochum-cvh-text-v2.pdf
new file mode 120000
index 0000000000000000000000000000000000000000..4aa99b8f81061aca6dcaf43eed2d9efef40555f8
--- /dev/null
+++ b/20201217/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/20201217/logo-hochschule-bochum.pdf b/20201217/logo-hochschule-bochum.pdf
new file mode 120000
index 0000000000000000000000000000000000000000..b6b9491e370e499c9276918182cdb82cb311bcd1
--- /dev/null
+++ b/20201217/logo-hochschule-bochum.pdf
@@ -0,0 +1 @@
+../common/logo-hochschule-bochum.pdf
\ No newline at end of file
diff --git a/20201217/pendulum.pdf b/20201217/pendulum.pdf
new file mode 120000
index 0000000000000000000000000000000000000000..7d1d87305cdb8840a248ff2207538d758464f452
--- /dev/null
+++ b/20201217/pendulum.pdf
@@ -0,0 +1 @@
+../common/pendulum.pdf
\ No newline at end of file
diff --git a/20201217/pgscript.sty b/20201217/pgscript.sty
new file mode 120000
index 0000000000000000000000000000000000000000..95c888478c99ea7fda0fd11ccf669ae91be7178b
--- /dev/null
+++ b/20201217/pgscript.sty
@@ -0,0 +1 @@
+../common/pgscript.sty
\ No newline at end of file
diff --git a/20201217/pgslides.sty b/20201217/pgslides.sty
new file mode 120000
index 0000000000000000000000000000000000000000..5be1416f4216f076aa268901f52a15d775e43f64
--- /dev/null
+++ b/20201217/pgslides.sty
@@ -0,0 +1 @@
+../common/pgslides.sty
\ No newline at end of file
diff --git a/README.md b/README.md
index 4995d1b3a909958308a94e15e0db6156814a1330..7a96786af13d4f8b8acd93d020c7e206b75fcb6a 100644
--- a/README.md
+++ b/README.md
@@ -22,7 +22,8 @@ Vortragsfolien und Beispiele:
* [19.11.2020: Einführung in C: Zeiger, Arrays und Strings](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201119/hp-20201119.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/master/20201119/)
* [26.11.2020: Einführung in C: Arrays und Strings und Zeichen, Strukturen, Dateien und Fehlerbehandlung](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201126/hp-20201126.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/master/20201126/)
* [03.12.2020: Parameter des Hauptprogramms, String-Operationen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201203/hp-20201203.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/master/20201203/)
- * [10.12.2020: Parameter des Hauptprogramms, String-Operationen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201210/hp-20201210.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/master/20201210/)
+ * [10.12.2020: Präprozessor, Bibliotheken einbinden und verwenden](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201210/hp-20201210.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/master/20201210/)
+ * [17.12.2020: make, Differentialgleichungen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201217/hp-20201217.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/master/20201217/)
* [alle in 1 Datei](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/hp-slides-2020ws.pdf)
Übungsaufgaben:
@@ -33,6 +34,7 @@ Vortragsfolien und Beispiele:
* [26.11.2020: Strings, Programm analysieren, fehlerhaftes Primzahl-Programm](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201126/hp-uebung-20201126.pdf)
* [03.12.2020: Arrays mit Zahlen, Datum-Bibliothek](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201203/hp-uebung-20201203.pdf)
* [10.12.2020: Ausgabe von Hexadezimalzahlen, Einfügen in Strings, Länge von Strings](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201210/hp-uebung-20201210.pdf)
+ * [17.12.2020: Kondensator, hüpfender Ball](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201217/hp-uebung-20201217.pdf)
Musterlösungen:
---------------
@@ -41,6 +43,7 @@ Musterlösungen:
* [26.11.2020: Strings, Programm analysieren, fehlerhaftes Primzahl-Programm](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201126/hp-musterloesung-20201126.pdf)
* [03.12.2020: Arrays mit Zahlen, Datum-Bibliothek](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201203/hp-musterloesung-20201203.pdf)
* [10.12.2020: Ausgabe von Hexadezimalzahlen, Einfügen in Strings, Länge von Strings](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201210/hp-musterloesung-20201210.pdf)
+ * [17.12.2020: Kondensator, hüpfender Ball](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201217/hp-musterloesung-20201217.pdf)
Tafelbilder:
------------
@@ -49,6 +52,7 @@ Tafelbilder:
Praktikumsunterlagen:
---------------------
* [Versuch 1: RSA-Verschlüsselung](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201112/hp-2020ws-p1.pdf)
+ * [Versuch 2: Weltraum-Simulation](https://gitlab.cvh-server.de/pgerwinski/hp/raw/master/20201217/hp-2020ws-p2.pdf)
Alte Klausuren:
---------------
diff --git a/hp-slides-2020ws.pdf b/hp-slides-2020ws.pdf
index a0f4265a16fba411e21cb081b541eac4c8d2fe15..4f36f89341d38beb155f7c1b2cf88ea449c8442c 100644
Binary files a/hp-slides-2020ws.pdf and b/hp-slides-2020ws.pdf differ
diff --git a/hp-slides-2020ws.tex b/hp-slides-2020ws.tex
index 1e448e3efd28bdfa23684529041a4c892fcf74b3..7d3efeca4af1a12cafb02e471aa5fb0dd15e1f9d 100644
--- a/hp-slides-2020ws.tex
+++ b/hp-slides-2020ws.tex
@@ -22,4 +22,6 @@
\includepdf[pages=-]{20201203/hp-20201203.pdf}
\pdfbookmark[1]{10.12.2020: Parameter des Hauptprogramms, String-Operationen}{20201210}
\includepdf[pages=-]{20201210/hp-20201210.pdf}
+ \pdfbookmark[1]{17.12.2020: Parameter des Hauptprogramms, String-Operationen}{20201217}
+ \includepdf[pages=-]{20201217/hp-20201217.pdf}
\end{document}