{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%gui qt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from mayavi import mlab\n",
    "import scipy\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/padmapriya/mohyavi/lib/python3.6/site-packages/ipykernel_launcher.py:3: RuntimeWarning: invalid value encountered in true_divide\n",
      "  This is separate from the ipykernel package so we can avoid doing imports until\n",
      "/home/padmapriya/mohyavi/lib/python3.6/site-packages/ipykernel_launcher.py:4: RuntimeWarning: invalid value encountered in true_divide\n",
      "  after removing the cwd from sys.path.\n",
      "/home/padmapriya/mohyavi/lib/python3.6/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in true_divide\n",
      "  \"\"\"\n"
     ]
    }
   ],
   "source": [
    "x, y, z = np.mgrid[-2:3, -2:3, -2:3]\n",
    "r = np.sqrt(x**2 + y**2 + z**2)\n",
    "u = x/r**3\n",
    "v = y/r**3\n",
    "w = z/r**3\n",
    "\n",
    "a = mlab.quiver3d(x, y, z, u, v, w)\n",
    "mlab.axes(a)\n",
    "mlab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y, z = np.mgrid[-2:3, -2:3, -2:3]\n",
    "u = y**3 - 9*y\n",
    "v = x**3 - 9*x\n",
    "w = x\n",
    "\n",
    "a = mlab.quiver3d(x, y, z, u, v, w, colormap = 'gist_earth')\n",
    "mlab.fig(bgcolor = (0,0,0))\n",
    "\n",
    "for i in range(50):\n",
    "    mlab.view(65, -65)\n",
    "    mlab.view(azimuth= 3.6*i, elevation=-60, distance=10)\n",
    "    mlab.process_ui_events()\n",
    "    time.sleep = 0.005\n",
    "    mlab.savefig('curl_%02d.png' % i)\n",
    "    \n",
    "\n",
    "x, y, z = np.mgrid[-2:3, -2:3, -2:3]\n",
    "p = x\n",
    "q = y\n",
    "r = 4.5*(x**2 - y**2)\n",
    "\n",
    "b = mlab.quiver3d(x, y, z, p, q, r, colormap = 'gist_earth')\n",
    "for j in range(25):\n",
    "    mlab.view(65, -65)\n",
    "    mlab.view(azimuth= 3.6*j, elevation=-60, distance=10)\n",
    "    mlab.process_ui_events()\n",
    "    time.sleep = 0.005\n",
    "    mlab.savefig('curl2_%02d.png' % j)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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