{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial A10 – Solutions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__1__ Take the point `p(3, 4)`, and plot it as a circle (marker `\"o\"`). Make the edges of the marker show in black. Set the displayed data area (($x_\\mathrm{min}$, $x_\\mathrm{max}$), ($y_\\mathrm{min}$, $y_\\mathrm{max}$)) to `((2, 5), (2, 5))`. Give the plot a title and name the *x*- and *y*-axis. Show only the *x*- and *y*-coordinates of the point in the *x*- and *y*-ticks. Add a data grid (`plt.grid`) to the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "mpl.rc_file(\n",
    "    \"../../matplotlibrc\",\n",
    "    use_default_template=False\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x741 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = (3, 4)\n",
    "limits = (2, 5)\n",
    "plt.plot(p[0], p[1], marker=\"o\", markeredgecolor=\"k\")\n",
    "plt.xlim(limits)\n",
    "plt.ylim(limits)\n",
    "plt.title(\"Point\")\n",
    "plt.xlabel(\"$x$\")\n",
    "plt.ylabel(\"$y$\")\n",
    "plt.xticks((p[0],))\n",
    "plt.yticks((p[1],))\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__2__ Take the below sequence of *x*- and *y*-data points and plot them as dots. Make the connection between the points a dashed gray line. Add axis-labels and a legend describing what can be seen.\n",
    "```python\n",
    "x = [x/10 for x in range(-20, 20)]\n",
    "y = [\n",
    "    0.13533528323661, 0.149568619222635, 0.165298888221586, 0.182683524052734, 0.201896517994655,\n",
    "    0.223130160148429, 0.24659696394160, 0.27253179303401, 0.301194211912202, 0.332871083698079,\n",
    "    0.367879441171442, 0.40656965974059, 0.449328964117221, 0.49658530379140, 0.54881163609402,\n",
    "    0.60653065971263, 0.67032004603563, 0.74081822068171, 0.81873075307798, 0.90483741803595,\n",
    "    1.0, 1.10517091807564, 1.22140275816016, 1.34985880757600, 1.49182469764127, 1.64872127070012,\n",
    "    1.82211880039050, 2.01375270747047, 2.2255409284924, 2.459603111156, 2.7182818284590,\n",
    "    3.00416602394643, 3.32011692273654, 3.66929666761924, 4.05519996684467, 4.48168907033806,\n",
    "    4.9530324243951, 5.47394739172, 6.04964746441294, 6.68589444227926\n",
    "]\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$y$')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x741 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = [x/10 for x in range(-20, 20)]\n",
    "y = [\n",
    "    0.13533528323661, 0.149568619222635, 0.165298888221586, 0.182683524052734, 0.201896517994655,\n",
    "    0.223130160148429, 0.24659696394160, 0.27253179303401, 0.301194211912202, 0.332871083698079,\n",
    "    0.367879441171442, 0.40656965974059, 0.449328964117221, 0.49658530379140, 0.54881163609402,\n",
    "    0.60653065971263, 0.67032004603563, 0.74081822068171, 0.81873075307798, 0.90483741803595,\n",
    "    1.0, 1.10517091807564, 1.22140275816016, 1.34985880757600, 1.49182469764127, 1.64872127070012,\n",
    "    1.82211880039050, 2.01375270747047, 2.2255409284924, 2.459603111156, 2.7182818284590,\n",
    "    3.00416602394643, 3.32011692273654, 3.66929666761924, 4.05519996684467, 4.48168907033806,\n",
    "    4.9530324243951, 5.47394739172, 6.04964746441294, 6.68589444227926\n",
    "]\n",
    "\n",
    "plt.plot(\n",
    "    x, y,\n",
    "    marker=\".\", markeredgecolor=\"k\", markerfacecolor=\"#cc2529\",\n",
    "    linestyle=\"--\", color=\"gray\",\n",
    "    label=\"$y$\"\n",
    "    )\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel(\"$x$\")\n",
    "plt.ylabel(\"$y$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Advanced 1__ Continue to work on the plot of __2__: Try to use the Figure/Axes instances directly instead of the pyplot\n",
    "convenience functions. Plot the cumulative sum of the data points as diamonds (marker `\"D\"`) of a different color and make the connection between them a dashed gray line as well. Use the function `ax.axhline` to draw a solid black line at $y = 40$. Use the function `ax.annotate` to point with an arrow to the first data point in the cumulative sum with $y > 40$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Text(0, 0.5, '$y$'), Text(0.5, 0, '$x$')]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x741 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def find_point(seq, threshold=40):\n",
    "    \"\"\"Find threshold crossing point\n",
    "    \n",
    "    Use this function to find the first point in a sequence larger \n",
    "    than a given threshold.\n",
    "    \n",
    "    Returns:\n",
    "       Point index\n",
    "    \"\"\"\n",
    "    \n",
    "    for c, i in enumerate(seq):\n",
    "        if i > threshold:\n",
    "            return c\n",
    "        \n",
    "cumsum = [sum(y[:i]) for i, _ in enumerate(y, 1)]\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(\n",
    "    x, y,\n",
    "    markersize=4,\n",
    "    marker=\"o\", markeredgecolor=\"k\", markerfacecolor=\"#cc2529\",\n",
    "    linestyle=\"--\", color=\"gray\",\n",
    "    label=\"$y$\"\n",
    "    )\n",
    "ax.plot(\n",
    "    x, cumsum,\n",
    "    markersize=4,\n",
    "    marker=\"D\", markeredgecolor=\"k\", markerfacecolor=\"#922428\",\n",
    "    linestyle=\"--\", color=\"gray\",\n",
    "    label=\"cum. sum\"\n",
    "    )\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "ax.axhline(40, color=\"k\", zorder=0)\n",
    "\n",
    "crossing_point = find_point(cumsum)\n",
    "ax.annotate(\n",
    "    xy=(x[crossing_point], cumsum[crossing_point]),\n",
    "    xytext=(x[crossing_point] - 0.4, cumsum[crossing_point] + 3),\n",
    "    s=\"\",\n",
    "    arrowprops={\"arrowstyle\": \"->\", \"shrinkB\": 4}\n",
    "    )\n",
    "\n",
    "ax.set(**{\n",
    "    \"xlabel\": \"$x$\",\n",
    "    \"ylabel\": \"$y$\",\n",
    "    })"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.10"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}