diff --git a/simple_game.ipynb b/simple_game.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..87232b29a39efc6914af22474e8bfd87d532d264 --- /dev/null +++ b/simple_game.ipynb @@ -0,0 +1,327 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Simple Game\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- Jetzt versuchen wir ein einfaches Game zu programmieren:\n", + "- 2 Spieler müssen die Anfangsgeschwindigkeit eines nach oben in die Luft geworfenenen Balls schätzen, so dass er am höchsten Punkt zwischen 2 Schwellwerten landet (min und max).\n", + "- min und max sollen vom Programm zufällig berechnet werden, damit das Spiel auch interessant bleibt\n", + "- die Ballkurven der Spieler und die beiden Schwellwerte min und max werden in einem Plot dargestellt, um zu schauen, wer gewonnen hat." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## erste Annäherung\n", + "erst einmal plotten wir die Flugkurve eines Balls mit einer bestimmten Anfangsgeschwindigkeit v0" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0. 0.02038736 0.04077472 0.06116208 0.08154944 0.1019368\n", + " 0.12232416 0.14271152 0.16309888 0.18348624 0.2038736 0.22426096\n", + " 0.24464832 0.26503568 0.28542304 0.3058104 0.32619776 0.34658512\n", + " 0.36697248 0.38735984 0.4077472 0.42813456 0.44852192 0.46890928\n", + " 0.48929664 0.509684 0.53007136 0.55045872 0.57084608 0.59123344\n", + " 0.6116208 0.63200815 0.65239551 0.67278287 0.69317023 0.71355759\n", + " 0.73394495 0.75433231 0.77471967 0.79510703 0.81549439 0.83588175\n", + " 0.85626911 0.87665647 0.89704383 0.91743119 0.93781855 0.95820591\n", + " 0.97859327 0.99898063 1.01936799]\n" + ] + } + ], + "source": [ + "from pylab import * # importiert plotting Funktionen\n", + "v0 = 5 # initial velocity\n", + "g = 9.81 # acceleration of gravity\n", + "n = 51 # number of points\n", + "t = linspace(0, 2*v0/g, n)\n", + "print(t)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0. 0.09989806 0.19571865 0.28746177 0.37512742 0.4587156\n", + " 0.5382263 0.61365953 0.68501529 0.75229358 0.81549439 0.87461774\n", + " 0.92966361 0.98063201 1.02752294 1.07033639 1.10907238 1.14373089\n", + " 1.17431193 1.20081549 1.22324159 1.24159021 1.25586137 1.26605505\n", + " 1.27217125 1.27420999 1.27217125 1.26605505 1.25586137 1.24159021\n", + " 1.22324159 1.20081549 1.17431193 1.14373089 1.10907238 1.07033639\n", + " 1.02752294 0.98063201 0.92966361 0.87461774 0.81549439 0.75229358\n", + " 0.68501529 0.61365953 0.5382263 0.4587156 0.37512742 0.28746177\n", + " 0.19571865 0.09989806 0. ]\n" + ] + } + ], + "source": [ + "y = v0*t - 0.5*g*t**2\n", + "print(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(t, y)\n", + "show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## statische Variante\n", + "Dann wählen wir feste min und max Werte und auch feste Anfangsgeschwindigkeiten für die beiden Spieler und plotten alles" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "v01 = 5 # initial velocity player1\n", + "v02 = 4 # initial velocity player2\n", + "height_max = 1\n", + "height_min = 0.8\n", + "g = 9.81 # acceleration of gravity\n", + "n = 51 # number of points\n", + "t1 = linspace(0, 2*v01/g, n)\n", + "t2 = linspace(0, 2*v02/g, n)\n", + "y1 = v01*t1 - 0.5*g*t1**2\n", + "y2 = v02*t2 - 0.5*g*t2**2\n", + "plot(t1, y1)\n", + "plot(t2, y2)\n", + "plt.axhline(y=height_min, color='r', linestyle='-')\n", + "plt.axhline(y=height_max, color='r', linestyle='-')\n", + "xlabel('t [s]')\n", + "ylabel('y [m]')\n", + "legend(('Player1', 'Player2'))\n", + "show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## fertiges Programm\n", + "Jetzt werden noch min und max zufällig ermittelt und die Spieler können interaktiv ihre Tipps eingeben" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "try to throw the ball between 0.19516684367177317 and -0.2598004673627377 meters\n" + ] + } + ], + "source": [ + "import random\n", + "height_max = random.random()\n", + "height_min = height_max - random.random()/2\n", + "print(\"try to throw the ball between \",height_max,\" and \",height_min,\" meters\")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Player1, what is your guess for v0? 1\n" + ] + } + ], + "source": [ + "v01 = float(input(\"Player1, what is your guess for v0?\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdin", + "output_type": "stream", + "text": [ + "Player2, what is your guess for v0? 4\n" + ] + } + ], + "source": [ + "v02 = float(input(\"Player2, what is your guess for v0?\"))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "g = 9.81 # acceleration of gravity\n", + "n = 51 # number of points\n", + "t1 = linspace(0, 2*v01/g, n)\n", + "t2 = linspace(0, 2*v02/g, n)\n", + "y1 = v01*t1 - 0.5*g*t1**2\n", + "y2 = v02*t2 - 0.5*g*t2**2\n", + "plot(t1, y1)\n", + "plot(t2, y2)\n", + "plt.axhline(y=height_min, color='r', linestyle='-')\n", + "plt.axhline(y=height_max, color='r', linestyle='-')\n", + "xlabel('t [s]')\n", + "ylabel('y [m]')\n", + "legend(('Player1', 'Player2'))\n", + "show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Was ganz anderes: Mandelbrotbaum" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from PIL import Image\n", + "x1 = -2.0\n", + "x2 = 1.0\n", + "y1 = -1.5\n", + "y2 = 1.5\n", + "max_iterations = 255\n", + "image_of_x = 512\n", + "image_of_y = 512\n", + "image = Image.new(\"RGB\", (image_of_x, image_of_y)) \n", + "for y in range(image_of_y):\n", + " zy = y * (y2- y1) / (image_of_y - 1) + y1\n", + " for x in range(image_of_x):\n", + " zx = x * (x2 - x1) / (image_of_x - 1) + x1\n", + " z = zx + zy * 1j\n", + " c = z\n", + " for i in range(max_iterations):\n", + " if abs(z) > 2.0: break\n", + " z = z * z + c\n", + " image.putpixel((x, y), (i % 4 * 64, i % 8 * 32, i % 16 * 16))\n", + "image.show()" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}