From 0d847f19c749bc8ef92c581f4bcfd04c59b01c2b Mon Sep 17 00:00:00 2001 From: DotNaos Date: Sun, 18 May 2025 16:55:03 +0200 Subject: [PATCH] Update code --- .../Linear Algebra Assignment 3.ipynb | 36 ++++--- code/online-part-1/Plots.ipynb | 102 ++++++++++++++++-- .../Roboterfahrt Aufgabe 1.ipynb | 8 +- code/online-part-1/plots_expected_output.png | Bin 0 -> 63885 bytes 4 files changed, 120 insertions(+), 26 deletions(-) create mode 100644 code/online-part-1/plots_expected_output.png diff --git a/code/online-part-1/Linear Algebra Assignment 3.ipynb b/code/online-part-1/Linear Algebra Assignment 3.ipynb index 54a1a01..e2e6a1d 100644 --- a/code/online-part-1/Linear Algebra Assignment 3.ipynb +++ b/code/online-part-1/Linear Algebra Assignment 3.ipynb @@ -45,7 +45,9 @@ "outputs": [], "source": [ "# Linienzug plotten\n", - "# plt.plot(...)\n" + "plt.figure()\n", + "plt.plot(n[0], n[1])\n", + "plt.show()\n" ] }, { @@ -73,11 +75,14 @@ "source": [ "# angle soll in Grad angegeben werden\n", "def rotation_matrix(angle):\n", - " pass\n", + " theta = np.deg2rad(angle)\n", + " c = np.cos(theta)\n", + " s = np.sin(theta)\n", + " return np.array([[c, -s], [s, c]])\n", "\n", "# mögliche Tests\n", - "# assert(np.allclose(rotation_matrix(90).dot(np.array([1,0])), np.array([0,1])))\n", - "# assert(np.allclose(rotation_matrix(-90).dot(np.array([1,0])), np.array([0,-1])))" + "assert np.allclose(rotation_matrix(90).dot(np.array([1,0])), np.array([0,1]))\n", + "assert np.allclose(rotation_matrix(-90).dot(np.array([1,0])), np.array([0,-1]))\n" ] }, { @@ -94,9 +99,11 @@ "outputs": [], "source": [ "# n_rot soll die rotierten Punkte enthalten, n_rot.shape == n.shape\n", - "n_rot = ...\n", + "n_rot = rotation_matrix(60).dot(n)\n", "\n", - "# und erneut plotten..." + "plt.figure()\n", + "plt.plot(n_rot[0], n_rot[1])\n", + "plt.show()\n" ] }, { @@ -123,10 +130,9 @@ "outputs": [], "source": [ "def scale_matrix(sx, sy):\n", - " pass\n", + " return np.array([[sx, 0], [0, sy]])\n", "\n", - "\n", - "# todo test schreiben?" + "assert np.allclose(scale_matrix(2, 3).dot(np.array([1,1])), np.array([2,3]))\n" ] }, { @@ -142,12 +148,12 @@ "metadata": {}, "outputs": [], "source": [ - "# Punkte skalieren\n", - "\n", - "\n", - "\n", - "# und plotten\n", - "\n" + "scaled = scale_matrix(2, 0.5).dot(n)\n", + "plt.figure()\n", + "plt.plot(n[0], n[1], label=\"original\")\n", + "plt.plot(scaled[0], scaled[1], label=\"scaled\")\n", + "plt.legend()\n", + "plt.show()\n" ] } ], diff --git a/code/online-part-1/Plots.ipynb b/code/online-part-1/Plots.ipynb index d12a574..5dcccbc 100644 --- a/code/online-part-1/Plots.ipynb +++ b/code/online-part-1/Plots.ipynb @@ -6,22 +6,110 @@ "metadata": {}, "source": [] }, + { + "cell_type": "markdown", + "id": "ad235393", + "metadata": {}, + "source": [ + "# Subplots\n", + "- $\\sin(x)$" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "4f0d058b", - "metadata": { - "vscode": { - "languageId": "plaintext" + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } - }, - "outputs": [], + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Daten für alle Funktionen\n", + "x_trig = np.linspace(0, 2 * np.pi, 400)\n", + "x_exp = np.linspace(0, 4, 400)\n", + "x_log = np.linspace(0.1, 10, 400)\n", + "x_gauss = np.linspace(-5, 5, 400)\n", + "x_sigmoid = np.linspace(-10, 10, 400)\n", + "\n", + "# Funktionen\n", + "y_sin = np.sin(x_trig)\n", + "y_cos = np.cos(x_trig)\n", + "y_exp = np.exp(x_exp)\n", + "y_log = np.log(x_log)\n", + "y_gauss = 1 / np.sqrt(2 * np.pi) * np.exp(-(x_gauss**2) / 2)\n", + "y_sigmoid = 1 / (1 + np.exp(-x_sigmoid))\n", + "\n", + "# Figure und Achsen anlegen\n", + "fig, axs = plt.subplots(3, 2, figsize=(8, 10))\n", + "axs = axs.flatten()\n", + "\n", + "# Plot-Aufrufe\n", + "axs[0].plot(x_trig, y_sin)\n", + "axs[1].plot(x_trig, y_cos)\n", + "axs[2].plot(x_exp, y_exp)\n", + "axs[3].plot(x_log, y_log)\n", + "axs[4].plot(x_gauss, y_gauss)\n", + "axs[5].plot(x_sigmoid, y_sigmoid)\n", + "\n", + "# Titel mit LaTeX-Formeln\n", + "titles = [\n", + " r\"$f(x)=\\sin(x)$\",\n", + " r\"$f(x)=\\cos(x)$\",\n", + " r\"$f(x)=e^x$\",\n", + " r\"$f(x)=\\log(x)$\",\n", + " r\"$f(x)=\\frac{1}{\\sqrt{2\\pi}}e^{-x^2/2}$\",\n", + " r\"$f(x)=\\frac{1}{1+e^{-x}}$\",\n", + "]\n", + "for ax, title in zip(axs, titles):\n", + " ax.set_title(title)\n", + "\n", + "# Spezielle x-Ticks für die trigonometrischen Plots\n", + "for ax in (axs[0], axs[1]):\n", + " ax.set_xticks([0, np.pi / 2, np.pi, 3 * np.pi / 2, 2 * np.pi])\n", + " ax.set_xticklabels([\"0\", r\"$\\pi/2$\", r\"$\\pi$\", r\"$3\\pi/2$\", r\"$2\\pi$\"])\n", + "\n", + "# Layout anpassen und anzeigen\n", + "plt.suptitle(\"Funky functions\", fontsize=16)\n", + "plt.tight_layout(rect=[0, 0, 1, 0.96])\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "1c76634e", + "metadata": {}, "source": [] } ], "metadata": { + "kernelspec": { + "display_name": "code (3.13.2)", + "language": "python", + "name": "python3" + }, "language_info": { - "name": "python" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" } }, "nbformat": 4, diff --git a/code/online-part-1/Roboterfahrt Aufgabe 1.ipynb b/code/online-part-1/Roboterfahrt Aufgabe 1.ipynb index 4ec81fd..ae2e310 100644 --- a/code/online-part-1/Roboterfahrt Aufgabe 1.ipynb +++ b/code/online-part-1/Roboterfahrt Aufgabe 1.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "00d20df1", "metadata": {}, "outputs": [], @@ -108,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "6ee1ca50", "metadata": {}, "outputs": [ @@ -121,8 +121,8 @@ } ], "source": [ - "lenght = sum([np.linalg.norm(f) for f in fahrten])\n", - "print(\"Länge der Fahrt:\", lenght)" + "length = sum([np.linalg.norm(f) for f in fahrten])\n", + "print(\"Länge der Fahrt:\", length)" ] }, { diff --git a/code/online-part-1/plots_expected_output.png b/code/online-part-1/plots_expected_output.png new file mode 100644 index 0000000000000000000000000000000000000000..64439dca99b3136960bbcb56c96ff426e86bcb2e GIT binary patch literal 63885 zcmZVmWmp_t(=`kO!QFj=ySoJv+#$HT1PdBm1B1J}yF&=>?(Xgc5AO1H?(=$nyvO%r zj+yD%y`_71tyNX4CiJUFgz4+R%R|rupWz`OgDoMT|1|+#gun|pH3t&n1Mm*{?^q7h|N9k6Gv~wq z`}_g?uOV%JuNefy7YJ!FVO2NC(@Z!woc@(TvUZvRnu1xfgelKN)I3su9930p#^i9A zhpMp1a*cLfq$P22F%0w=X3$Z4;8ztta18h+>*Do3g89UfkI&iVew{`!Yk7G&)zyc? zX(Kb$)tqpn#km|(Ps|S<9g_SD^qfqWbR|Kt7uLToArKho@G;~C9{=}|6snB+OW4=> ze#KN8sQ+uP3|55$+K@tteVK=r!YFHbpu7HGM`1C?|M!C*d`TJvoroIVXS1yTMv%f# z1_5XM8&3_3RJ`PPr+DmtqtS_!efaPE94n{-cs0G31o!`@K`Jig{J$Bh%KKsGmW5}t zEB>1wDbTJI_5Y?G;#Y^Z#4MS1w3pa2d1D$ftj^_4~Ideo{}U za9k#<5~uMDzS*mY{{H?*Lavc3H}qaf67RX+mMT0vJW^@d*>;J%w-Uc>*IO3#J>^d@ 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