{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d5929d1f-9d7f-4532-84cb-d08f03ed58d4",
   "metadata": {},
   "source": [
    "Dieses Notebook kann als Vorlage für die Plots von Blatt 1 benutzt werden."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "555837e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# was hier passiert, ist nicht so wichtig, sondern soll nur eine drehbare 3D-Ansicht ermöglichen\n",
    "%matplotlib widget\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d37d65d6-521f-4cc7-8230-ca98c90897dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "## es ist oft eine gute idee, teile eines programms, die man immer wieder benutzt, in funktionen auszulagern\n",
    "def curve3D( t ):\n",
    "    \"\"\"A 3D trajectory\n",
    "\n",
    "    Arguments:\n",
    "    t (array): parameter for the trajectory\n",
    "\n",
    "    Returns:\n",
    "    A list of three elements, the (x,y,z)-points of the trajectory\n",
    "    \"\"\"\n",
    "    return [t, t, t]\n",
    "\n",
    "def curve2D( t ):\n",
    "    \"\"\"A 2D trajectory\n",
    "\n",
    "    Arguments:\n",
    "    t (array): parameter for the trajectory\n",
    "\n",
    "    Returns:\n",
    "    A list of two elements, the (x,y)-points of the trajectory\n",
    "    \"\"\"\n",
    "    return [t, t]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bff0d68b-0b71-4231-b149-374e331b939f",
   "metadata": {},
   "outputs": [],
   "source": [
    "## \"linspace\" erzeugt ein array mit 100 einträgen von 0 bis 10 in jeweils gleichem abstand\n",
    "parameter_range = np.linspace(0, 10, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a87cd20f-3913-4f7a-83ef-d12c40191b43",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b4c31f488ca465b8d1dd4ae604db14b",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": "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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## curve2D gibt eine liste mit zwei elementen zurück, die wir separat \"auspacken\" können\n",
    "xdata, ydata = curve2D(parameter_range)\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "ax.plot( xdata, ydata, 'o' )\n",
    "ax.annotate( 'start', (xdata[0], ydata[0]))\n",
    "ax.annotate( 'end', (xdata[-1], ydata[-1]))\n",
    "ax.set_xlabel('X')\n",
    "ax.set_ylabel('Y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d06506db-cbd4-4e73-ab7a-2841431866b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b0cfe6efa4dd499d8836930673ab0b9a",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": "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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## curve3D gibt eine liste mit drei elementen zurück, die wir separat \"auspacken\" können\n",
    "xdata, ydata, zdata = curve3D(parameter_range)\n",
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot( xdata, ydata, zdata, 'o' )\n",
    "ax.text( xdata[0], ydata[0], zdata[0], 'start', 'x' )\n",
    "ax.text( xdata[-1], ydata[-1], zdata[-1], 'end', 'x' )\n",
    "ax.set_xlabel('X')\n",
    "ax.set_ylabel('Y')\n",
    "ax.set_zlabel('Z')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d10ecac0-354e-40af-881a-c33f86f46865",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}