{
 "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": null,
   "metadata": {},
   "outputs": [],
   "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": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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