asford · January 2, 2019 21:45
diff --git a/test_cufflinks.ipynb b/test_cufflinks.ipynb
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       "<script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script><script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window._Plotly) {require(['plotly'],function(plotly) {window._Plotly=plotly;});}</script>"
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      ]
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas\n",
    "import cufflinks\n",
    "cufflinks.go_offline(connected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {},
   "outputs": [],
   "source": [
    "import toolz\n",
    "from toolz import merge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import special_ortho_group"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy\n",
    "from numpy import array, dot, rad2deg, cross, arccos, arctan2, pi\n",
    "from numpy.linalg import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [],
   "source": [
    "vecs = numpy.array([[1, 0, 0], [1, 1, 0]])\n",
    "rot = special_ortho_group.rvs(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {},
   "outputs": [],
   "source": [
    "v1, v2 = vecs @ special_ortho_group.rvs(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "metadata": {},
   "outputs": [],
   "source": [
    "def angles(vs):\n",
    "    v1, v2 = vs\n",
    "    c = cross(v1, v2)\n",
    "    return dict(\n",
    "        arccos = arccos(dot(v1, v2) / (norm(v1) * norm(v2))),\n",
    "        arctan2 = 2 * arctan2(dot(c, c / norm(c)), norm(v1) * norm(v2) + dot(v1, v2))\n",
    "    )\n",
    "\n",
    "def vecs(theta):\n",
    "    return numpy.array([[20, 0, 0], [numpy.cos(theta), numpy.sin(theta), 0]])\n",
    "\n",
    "@toolz.curry\n",
    "def tentry(theta, rot=numpy.eye(3)):\n",
    "    return merge(\n",
    "        angles(vecs(theta) @ rot),\n",
    "        dict(theta=theta)\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "metadata": {},
   "outputs": [],
   "source": [
    "results = map(tentry(rot=special_ortho_group.rvs(3)), numpy.linspace(1e-9, pi, 1000, endpoint=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 223,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/scratch/USERS/fordas/workspace/tmol/.conda/lib/python3.6/site-packages/ipykernel_launcher.py:5: RuntimeWarning:\n",
      "\n",
      "invalid value encountered in arccos\n",
      "\n"
     ]
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   "source": [
    "rframe = pandas.DataFrame.from_records(results)\n",
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