{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- Student -->\n",
    "# First CoCalc Notebook\n",
    "\n",
    "This Week00 Notebook is just to check that you are able to access material in CoCalc and contact a demonstrator.\n",
    "\n",
    "Run the cell below by selecting it (click in the cell) and then either pressing the $\\blacktriangleright$ symbol in the menu bar above, or pressing and holding down *Ctrl* then pressing *Enter*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Date and time  2020-10-10 15:39:50.190977\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " \n",
      "Date and time 2020-10-10 15:39:52.534749\n",
      "Time since last check is 0:00:02.343772\n"
     ]
    }
   ],
   "source": [
    "# <!-- Student -->\n",
    "import datetime\n",
    "now = datetime.datetime.now()\n",
    "print(\"Date and time \",str(now))\n",
    "#\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "#\n",
    "max_iterations = 32\n",
    "x_min, x_max = -2.5, 1.5\n",
    "y_min, y_max = -1.5, 1.5\n",
    "ds = 0.008\n",
    "nX = int((x_max - x_min)/ds)\n",
    "nY = int((y_max - y_min)/ds)\n",
    "X = np.linspace(x_min, x_max, nX)\n",
    "Y = np.linspace(y_min, y_max, nY)\n",
    "data = np.zeros((nX, nY), dtype = 'uint8')\n",
    "for i in range(0, nX):\n",
    "    for j in range(0, nY):\n",
    "        x0, y0 = X[i], Y[j]\n",
    "        x, y = x0, y0\n",
    "        count = 0\n",
    "        while count < max_iterations:\n",
    "            x, y = (x0 + x*x - y*y, y0 + 2*x*y)\n",
    "            if x*x + y*y > 4.0:\n",
    "                break\n",
    "            count += 1\n",
    "        data[i, j] = max_iterations - count\n",
    "    #\n",
    "fig, ax = plt.subplots(figsize = (20, 15))\n",
    "plt.tight_layout()\n",
    "ax.imshow(data.transpose(), interpolation = 'nearest', cmap = 'jet')\n",
    "plt.axis('off')\n",
    "plt.show()\n",
    "#\n",
    "then = now\n",
    "now = datetime.datetime.now()\n",
    "print(\" \")\n",
    "print(\"Date and time\",str(now))\n",
    "print(\"Time since last check is\",str(now - then))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- Student -->\n",
    "Show the result to one of the online demonstrators!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- Demo -->\n",
    "#### Demonstrator's initals:\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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}