From a04f6dcd0eaf248c9ae92a67453cdec2f6cc749c Mon Sep 17 00:00:00 2001 From: Peter Gerwinski <peter.gerwinski@hs-bochum.de> Date: Sun, 15 Nov 2015 23:08:22 +0100 Subject: [PATCH] Vorlesung 12.11.2015 Vorbereitung Praktikum 16.11.2015 --- 20151112/Makefile | 2 +- 20151112/Makefile-7 | 6 + 20151112/hanoi-0.c | 25 ++++ 20151112/hanoi-1.c | 27 +++++ 20151112/hanoi-2.c | 36 ++++++ 20151112/hanoi-3.c | 40 +++++++ 20151112/kleinesMinusO.PNG | Bin 0 -> 96486 bytes 20151112/opengl-magic.c | 2 +- 20151112/pendulum-1.c | 46 ++++++++ 20151112/pendulum-2.c | 48 ++++++++ 20151112/pendulum-3.c | 48 ++++++++ 20151112/pendulum-4.c | 68 +++++++++++ 20151116/ainf-2015ws-p2.pdf | Bin 0 -> 93073 bytes 20151116/ainf-2015ws-p2.tex | 114 +++++++++++++++++++ 20151116/logo-hochschule-bochum-cvh-text.pdf | 1 + 20151116/logo-hochschule-bochum.pdf | 1 + 20151116/pgscript.sty | 1 + common/pgscript.sty | 3 + script/ainf-2015ws.pdf | Bin 488634 -> 594867 bytes 19 files changed, 466 insertions(+), 2 deletions(-) create mode 100644 20151112/Makefile-7 create mode 100644 20151112/hanoi-0.c create mode 100644 20151112/hanoi-1.c create mode 100644 20151112/hanoi-2.c create mode 100644 20151112/hanoi-3.c create mode 100644 20151112/kleinesMinusO.PNG create mode 100644 20151112/pendulum-1.c create mode 100644 20151112/pendulum-2.c create mode 100644 20151112/pendulum-3.c create mode 100644 20151112/pendulum-4.c create mode 100644 20151116/ainf-2015ws-p2.pdf create mode 100644 20151116/ainf-2015ws-p2.tex create mode 120000 20151116/logo-hochschule-bochum-cvh-text.pdf create mode 120000 20151116/logo-hochschule-bochum.pdf create mode 120000 20151116/pgscript.sty diff --git a/20151112/Makefile b/20151112/Makefile index 30b6529..c677a47 100644 --- a/20151112/Makefile +++ b/20151112/Makefile @@ -1,6 +1,6 @@ SOURCES = opengl-magic.c textured-spheres.c INCLUDES = opengl-magic.h textured-spheres.h -LIBS = -lGL -lGLU -lglut +LIBS = -lm -lGL -lGLU -lglut %: %.c $(SOURCES) $(INCLUDES) gcc -Wall $< $(SOURCES) $(LIBS) -o $@ diff --git a/20151112/Makefile-7 b/20151112/Makefile-7 new file mode 100644 index 0000000..30b6529 --- /dev/null +++ b/20151112/Makefile-7 @@ -0,0 +1,6 @@ +SOURCES = opengl-magic.c textured-spheres.c +INCLUDES = opengl-magic.h textured-spheres.h +LIBS = -lGL -lGLU -lglut + +%: %.c $(SOURCES) $(INCLUDES) + gcc -Wall $< $(SOURCES) $(LIBS) -o $@ diff --git a/20151112/hanoi-0.c b/20151112/hanoi-0.c new file mode 100644 index 0000000..c52342d --- /dev/null +++ b/20151112/hanoi-0.c @@ -0,0 +1,25 @@ +#include <stdio.h> + +#define DISKS 3 + +int n[3], tower[3][DISKS]; + +void display (void) +{ + for (int i = 0; i < 3; i++) + { + printf ("tower %d: ", i); + for (int j = 0; j < n[i]; j++) + printf ("%2d", tower[i][j]); + printf ("\n"); + } + printf ("\n"); +} + +int main (void) +{ + n[0] = 0; + n[1] = 0; + n[2] = 0; + display (); +} diff --git a/20151112/hanoi-1.c b/20151112/hanoi-1.c new file mode 100644 index 0000000..cc37c97 --- /dev/null +++ b/20151112/hanoi-1.c @@ -0,0 +1,27 @@ +#include <stdio.h> + +#define DISKS 3 + +int n[3], tower[3][DISKS]; + +void display (void) +{ + for (int i = 0; i < 3; i++) + { + printf ("tower %d: ", i); + for (int j = 0; j < n[i]; j++) + printf ("%2d", tower[i][j]); + printf ("\n"); + } + printf ("\n"); +} + +int main (void) +{ + n[0] = DISKS; + for (int i = 0; i < DISKS; i++) + tower[0][i] = DISKS - 1 - i; + n[1] = 0; + n[2] = 0; + display (); +} diff --git a/20151112/hanoi-2.c b/20151112/hanoi-2.c new file mode 100644 index 0000000..16805bc --- /dev/null +++ b/20151112/hanoi-2.c @@ -0,0 +1,36 @@ +#include <stdio.h> + +#define DISKS 3 + +int n[3], tower[3][DISKS]; + +void display (void) +{ + for (int i = 0; i < 3; i++) + { + printf ("tower %d: ", i); + for (int j = 0; j < n[i]; j++) + printf ("%2d", tower[i][j]); + printf ("\n"); + } + printf ("\n"); +} + +void hanoi (int src, int dst, int tmp, int disks) +{ + tower[dst][n[dst]] = tower[src][n[src] - 1]; + n[src]--; + n[dst]++; + display (); +} + +int main (void) +{ + n[0] = DISKS; + for (int i = 0; i < DISKS; i++) + tower[0][i] = DISKS - 1 - i; + n[1] = 0; + n[2] = 0; + display (); + hanoi (0, 2, 1, 1); +} diff --git a/20151112/hanoi-3.c b/20151112/hanoi-3.c new file mode 100644 index 0000000..2e30305 --- /dev/null +++ b/20151112/hanoi-3.c @@ -0,0 +1,40 @@ +#include <stdio.h> + +#define DISKS 3 + +int n[3], tower[3][DISKS]; + +void display (void) +{ + for (int i = 0; i < 3; i++) + { + printf ("tower %d: ", i); + for (int j = 0; j < n[i]; j++) + printf ("%2d", tower[i][j]); + printf ("\n"); + } + printf ("\n"); +} + +void hanoi (int src, int dst, int tmp, int disks) +{ + if (disks > 1) + hanoi (src, tmp, dst, disks - 1); + tower[dst][n[dst]] = tower[src][n[src] - 1]; + n[src]--; + n[dst]++; + display (); + if (disks > 1) + hanoi (tmp, dst, src, disks - 1); +} + +int main (void) +{ + n[0] = DISKS; + for (int i = 0; i < DISKS; i++) + tower[0][i] = DISKS - 1 - i; + n[1] = 0; + n[2] = 0; + display (); + hanoi (0, 2, 1, DISKS); +} diff --git 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zK4TDl<V@Pulatk_%NJ}bc({n;_kD-E8!|2``9D+eKJskqnSGq=ON;ke9)Dc3=2=2? z^2bL<4QDnNK0Yh+hWme|ZnpaRud$-PzaKsO)4Fusoc)VUAAYT_Q`~X<X<f{@r%$%} z+}(3+viSP1Z>OtzPs@0DX{qArX}a999s84xa;=Tps#W5!Z|92gz`%)S`S;eWy}d2- r`#jrITi=;Ke3fnTa8~x$|BS3B*f(GKusDf<fq}u()z4*}Q$iB}1LoF2 literal 0 HcmV?d00001 diff --git a/20151112/opengl-magic.c b/20151112/opengl-magic.c index bcb0b73..f8a9910 100644 --- a/20151112/opengl-magic.c +++ b/20151112/opengl-magic.c @@ -6,7 +6,7 @@ void init_opengl (int *argcp, char **argv, char *window_name) { glutInit (argcp, argv); - glutInitDisplayMode (GLUT_RGBA | GLUT_SINGLE | GLUT_DEPTH); + glutInitDisplayMode (GLUT_RGBA | GLUT_DOUBLE | GLUT_DEPTH); glutInitWindowSize (1024, 768); glutCreateWindow (window_name); glMatrixMode (GL_PROJECTION); diff --git a/20151112/pendulum-1.c b/20151112/pendulum-1.c new file mode 100644 index 0000000..336ebb9 --- /dev/null +++ b/20151112/pendulum-1.c @@ -0,0 +1,46 @@ +#include <GL/gl.h> +#include <GL/glu.h> +#include <GL/freeglut.h> +#include <math.h> +#include "opengl-magic.h" + +#define phi0 1.0 /* geg. Anfangswert */ +#define omega0 0.0 /* geg. Anfangswert */ +#define dt 0.05 +#define g 9.81 +#define l 1.0 + +double t = 0.0; +double phi = phi0; +double omega = omega0; + +void draw (void) +{ + glClear (GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); + set_material_color (0.8, 0.8, 1.0); + glPushMatrix (); + glRotatef (90, 1.0, 0.0, 0.0); + glTranslatef (0.0, 0.0, -0.75); + glRotatef (180.0 + phi / M_PI * 180.0, 0.0, 1.0, 0.0); + glTranslatef (0.0, 0.0, -1.0); + glutSolidCylinder (0.01, l, 13, 1); + glutSolidSphere (0.1, 31, 10); + glPopMatrix (); + glFlush (); +} + +void timer_handler (int value) +{ + t += dt; + glutPostRedisplay (); + glutTimerFunc (50, timer_handler, 0); +} + +int main (int argc, char **argv) +{ + init_opengl (&argc, argv, "Pendulum"); + glutDisplayFunc (draw); + glutTimerFunc (50, timer_handler, 0); + glutMainLoop (); + return 0; +} diff --git a/20151112/pendulum-2.c b/20151112/pendulum-2.c new file mode 100644 index 0000000..b8a3727 --- /dev/null +++ b/20151112/pendulum-2.c @@ -0,0 +1,48 @@ +#include <GL/gl.h> +#include <GL/glu.h> +#include <GL/freeglut.h> +#include <math.h> +#include "opengl-magic.h" + +#define phi0 1.0 /* geg. Anfangswert */ +#define omega0 0.0 /* geg. Anfangswert */ +#define dt 0.05 +#define g 9.81 +#define l 1.0 + +double t = 0.0; +double phi = phi0; +double omega = omega0; + +void draw (void) +{ + glClear (GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); + set_material_color (0.8, 0.8, 1.0); + glPushMatrix (); + glRotatef (90, 1.0, 0.0, 0.0); + glTranslatef (0.0, 0.0, -0.75); + glRotatef (180.0 + phi / M_PI * 180.0, 0.0, 1.0, 0.0); + glTranslatef (0.0, 0.0, -1.0); + glutSolidCylinder (0.01, l, 13, 1); + glutSolidSphere (0.1, 31, 10); + glPopMatrix (); + glFlush (); +} + +void timer_handler (int value) +{ + t += dt; + phi += dt * omega; + omega += dt * (-g / l) * sin (phi); + glutPostRedisplay (); + glutTimerFunc (50, timer_handler, 0); +} + +int main (int argc, char **argv) +{ + init_opengl (&argc, argv, "Pendulum"); + glutDisplayFunc (draw); + glutTimerFunc (50, timer_handler, 0); + glutMainLoop (); + return 0; +} diff --git a/20151112/pendulum-3.c b/20151112/pendulum-3.c new file mode 100644 index 0000000..628a1fc --- /dev/null +++ b/20151112/pendulum-3.c @@ -0,0 +1,48 @@ +#include <GL/gl.h> +#include <GL/glu.h> +#include <GL/freeglut.h> +#include <math.h> +#include "opengl-magic.h" + +#define phi0 1.0 /* geg. Anfangswert */ +#define omega0 0.0 /* geg. Anfangswert */ +#define dt 0.05 +#define g 9.81 +#define l 1.0 + +double t = 0.0; +double phi = phi0; +double omega = omega0; + +void draw (void) +{ + glClear (GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); + set_material_color (1.0, 1.0, 0.8); + glPushMatrix (); + glRotatef (90, 1.0, 0.0, 0.0); + glTranslatef (0.0, 0.0, -0.75); + glRotatef (180.0 + phi / M_PI * 180.0, 0.0, 1.0, 0.0); + glTranslatef (0.0, 0.0, -1.0); + glutSolidCylinder (0.01, l, 13, 1); + glutSolidSphere (0.1, 31, 10); + glPopMatrix (); + glFlush (); +} + +void timer_handler (int value) +{ + t += dt; + phi += dt * omega; + omega += dt * (-g / l) * phi; + glutPostRedisplay (); + glutTimerFunc (50, timer_handler, 0); +} + +int main (int argc, char **argv) +{ + init_opengl (&argc, argv, "Pendulum"); + glutDisplayFunc (draw); + glutTimerFunc (50, timer_handler, 0); + glutMainLoop (); + return 0; +} diff --git a/20151112/pendulum-4.c b/20151112/pendulum-4.c new file mode 100644 index 0000000..6746242 --- /dev/null +++ b/20151112/pendulum-4.c @@ -0,0 +1,68 @@ +#include <GL/gl.h> +#include <GL/glu.h> +#include <GL/freeglut.h> +#include <math.h> +#include "opengl-magic.h" + +#define phi0 0.5 /* geg. Anfangswert */ +#define omega0 0.0 /* geg. Anfangswert */ +#define dt 0.05 +#define g 9.81 +#define l 1.0 + +double t = 0.0; +double phi_with_sin = phi0; +double omega_with_sin= omega0; +double phi_without_sin = phi0; +double omega_without_sin= omega0; + +void draw_pendulum (double phi) +{ + glPushMatrix (); + glRotatef (90, 1.0, 0.0, 0.0); + glTranslatef (0.0, 0.0, -0.75); + glRotatef (180.0 + phi / M_PI * 180.0, 0.0, 1.0, 0.0); + glTranslatef (0.0, 0.0, -1.0); + glutSolidCylinder (0.01, 1.0, 13, 1); + glutSolidSphere (0.1, 31, 10); + glPopMatrix (); + glutSwapBuffers (); +} + +void draw (void) +{ + glClear (GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); + set_material_color (0.8, 0.8, 1.0); + draw_pendulum (phi_with_sin); + set_material_color (1.0, 0.8, 0.8); + draw_pendulum (phi_without_sin); + set_material_color (0.8, 1.0, 0.8); + double A = phi0; + double B = 0.5 * M_PI; /* 90° */ + double phi_analytic = A * sin (sqrt (g / l) * t + B); + draw_pendulum (phi_analytic); + glFlush (); +} + +void timer_handler (int value) +{ + t += dt; + phi_with_sin += dt * omega_with_sin; /* geg. Differentialgleichung */ + omega_with_sin += - dt * g / l * sin (phi_with_sin); /* geg. Differentialgleichung */ + /* _ohne_ Kleinwinkelnäherung */ + phi_without_sin += dt * omega_without_sin; /* geg. Differentialgleichung */ + omega_without_sin += - dt * g / l * phi_without_sin; /* geg. Differentialgleichung */ + /* _mit_ Kleinwinkelnäherung */ + glutPostRedisplay (); + glutTimerFunc (50, timer_handler, 0); +} + +int main (int argc, char **argv) +{ + init_opengl (&argc, argv, "Pendulum"); + glutDisplayFunc (draw); + glutTimerFunc (50, timer_handler, 0); + glutPostRedisplay (); + glutMainLoop (); + return 0; +} diff --git a/20151116/ainf-2015ws-p2.pdf b/20151116/ainf-2015ws-p2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..6689e5f30ef809d63ce30ae97205a76152910a9d GIT binary patch literal 93073 zcmY!laB<T$)HCH$y>R8|4K51>1BLvgEG`=xE`6WWy!4U`1!H4VO9e3C(s#?uDM>9- z(09v8EJ<}qP0mkA<+8KmDlREXP0Z!0xHUH_y7=}sp}O<yFH|b0Ye|()n0eB9w%W_T zJA7{$PhQ5q>8OX4cgU*lyFV80|NDk@0Y}uLH$BHyToc51A4vLsTlGkWnb2bM^Dgi8 z9%{K2g{*R#n)PI_))rm&>#Ni2?X}k|zgDq)`b332JATxuy5C<n|1VelMo;N@jhF6^ zR~3Y&h+6O(22H%Esd(Hiv~}gGi#M!8E!>OhKEJzpH2bOBC6QYerd8hyMSh>&q@`v4 zDN20Tmc`|(FV4UDG_7cJ^qn{1w{KTX_MV;l{rXOkn>O;=?~T98yifi1JInHB{hnE8 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License, or under the terms of the +% GNU General Public License as published by the Free Software +% Foundation, either version 3 of the License, or (at your option) +% any later version. +% +% This document is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this document. If not, see <http://www.gnu.org/licenses/>. +% +% You should have received a copy of the Creative Commons +% Attribution-ShareAlike 3.0 Unported License along with this +% document. If not, see <http://creativecommons.org/licenses/>. + +\documentclass[a4paper]{article} + +\usepackage{pgscript} +\usepackage{multicol} +\usepackage{sfmath} + +\sloppy +\pagestyle{empty} +\newcommand{\sep}{~$\cdot$~} +\newcommand{\mylicense}{CC-by-sa (Version 3.0) oder GNU GPL (Version 3 oder höher)} + +\begin{document} + + \makebox(0,0)[tl]{\includegraphics[scale=0.57]{logo-hochschule-bochum-cvh-text.pdf}}\hfill + \makebox(0,0)[tr]{\includegraphics[scale=0.5]{logo-hochschule-bochum.pdf}} + \par\bigskip\bigskip + \begin{center} + \Large\textbf{Praktikumsversuch 2: Umlaufbahnen} + \par\medskip + \normalsize Angewandte Informatik\sep + Wintersemester 2015/16\sep + Prof.~Dr.~Peter Gerwinski + \end{center} + + Aufgabe: Schreiben Sie ein C-Programm, das die Umlaufbahn eines Satelliten + im Gravitationsfeld eines Zentralgestirns simuliert und in 3d-Grafik darstellt. + + \begin{multicols}{2} + + \begin{itemize} + \item + Ein Körper im Gravitationsfeld eines Zentralgestirns + erfährt eine Kraft in Richtung auf dessen Zentrum + mit dem Betrag: + \begin{equation} + F = \frac{m\cdot M\cdot G}{r^2} + \end{equation} + Hierbei ist $m$ die Masse des Satelliten, + $M$ die des Zentralgestirns, + $r$ der Abstand des Satelliten vom Zentrum und + $G$ eine Konstante (Gravitationskonstante). + \item + Die Gravitationskraft beschleunigt den Satelliten gemäß: + \begin{equation} + \vec{F} = m\cdot \vec{a} + \end{equation} + \item + Mit geeignetem Anfangsort und geeigneter Anfangsgeschwindigkeit + beschreibt der Satellit eine elliptische Umlaufbahn um das Zentralgestirn. + \item + Hinweis 1: Es genügt, das System in der $(x,y)$-\break Ebene zu betrachten + und die $z$-Koordinate konstant auf $0$ zu setzen. + \item + Für die Simulation betrachten wir das System in kurzen Zeitintervallen $dt$ + und berechnen die Änderungen des Ortes $\vec{r} = (x,y)$ + und der Geschwindigkeit $\vec{v} = (v_x,v_y)$ des Satelliten + mit Hilfe des expliziten Eulerschen Polygonzugverfahrens. + \item + Hinweis 2: Für die Zerlegung der Kraft $\vec{F}\/$ + in $x$- und $y$-Komponenten benötigen Sie nur die Grundrechenarten + und insbesondere \emph{keine\/} trigonometrischen Funktionen. + \end{itemize} + + \bigskip + + \qquad\qquad\emph{Viel Erfolg!} + + \vfill\strut + + \end{multicols} + + \vfill + + \begingroup + + \small + + \setlength{\leftskip}{3cm} + + Stand: 15.\ November 2015 + +% Soweit nicht anders angegeben:\\ + Copyright \copyright\ 2014, 2015\quad Peter Gerwinski\\ + Lizenz: \mylicense + + Sie können diese Praktikumsunterlagen + einschließlich Quelltext und sonstiger Lehrmaterialien + unter \url{https://gitlab.cvh-server.de/pgerwinski/ainf.git} herunterladen. + + \endgroup + +\end{document} diff --git a/20151116/logo-hochschule-bochum-cvh-text.pdf b/20151116/logo-hochschule-bochum-cvh-text.pdf new file mode 120000 index 0000000..a059461 --- /dev/null +++ b/20151116/logo-hochschule-bochum-cvh-text.pdf @@ -0,0 +1 @@ +../common/logo-hochschule-bochum-cvh-text.pdf \ No newline at end of file diff --git a/20151116/logo-hochschule-bochum.pdf b/20151116/logo-hochschule-bochum.pdf new file mode 120000 index 0000000..b6b9491 --- /dev/null +++ b/20151116/logo-hochschule-bochum.pdf @@ -0,0 +1 @@ +../common/logo-hochschule-bochum.pdf \ No newline at end of file diff --git a/20151116/pgscript.sty b/20151116/pgscript.sty new file mode 120000 index 0000000..95c8884 --- /dev/null +++ b/20151116/pgscript.sty @@ -0,0 +1 @@ +../common/pgscript.sty \ No newline at end of file diff --git a/common/pgscript.sty b/common/pgscript.sty index 1de1a99..6d63728 100644 --- a/common/pgscript.sty +++ b/common/pgscript.sty @@ -31,8 +31,10 @@ \renewcommand*\familydefault{\sfdefault} \usepackage{graphicx} \usepackage{pstricks} +\usepackage{ifluatex} % Repair kerning: Automatically insert "\kern{-0.15em}" between "//" % (in URLs). +\ifluatex \directlua{ local glyph = node.id ("glyph") local function my_kerning (head) @@ -55,6 +57,7 @@ end luatexbase.add_to_callback ("kerning", my_kerning, "URL 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