{
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   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy\n",
    "from glob import glob\n"
   ],
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   "source": [
    "def read_xy(path: str):\n",
    "    df = pd.read_csv(path)\n",
    "    df['N'] = df.index + 1\n",
    "    df['r'] = (df.x ** 2 + df.y ** 2) ** 0.5\n",
    "    df['cr'] = df.r.cummax()\n",
    "    df['fd'] = np.log(df.N) / np.log(df.cr)\n",
    "\n",
    "    return df\n",
    "\n",
    "\n",
    "def convergent_tail_index(series, tol):\n",
    "    diffs = np.abs(np.ediff1d(series))\n",
    "    for i in range(0, len(diffs)):\n",
    "        if np.max(diffs[i:]) <= tol:\n",
    "            return i\n",
    "\n",
    "    # No convergence found\n",
    "    return None\n",
    "\n",
    "\n",
    "def mean_of_tail(series, tol=0.05):\n",
    "    tail_index = convergent_tail_index(series, tol)\n",
    "    return np.mean(series[tail_index:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/joshuacoles/Library/Caches/pypoetry/virtualenvs/data-analysis-B4Au_hWl-py3.10/lib/python3.10/site-packages/pandas/core/arraylike.py:402: RuntimeWarning: divide by zero encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n",
      "/Users/joshuacoles/Library/Caches/pypoetry/virtualenvs/data-analysis-B4Au_hWl-py3.10/lib/python3.10/site-packages/pandas/core/arraylike.py:402: RuntimeWarning: divide by zero encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n",
      "/Users/joshuacoles/Library/Caches/pypoetry/virtualenvs/data-analysis-B4Au_hWl-py3.10/lib/python3.10/site-packages/pandas/core/arraylike.py:402: RuntimeWarning: divide by zero encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n",
      "/Users/joshuacoles/Library/Caches/pypoetry/virtualenvs/data-analysis-B4Au_hWl-py3.10/lib/python3.10/site-packages/pandas/core/arraylike.py:402: RuntimeWarning: divide by zero encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    }
   ],
   "source": [
    "a = read_xy(\"/Users/joshuacoles/Developer/checkouts/jc3091/CompB DLA/c-codebase/a.csv\")\n",
    "b = read_xy(\"/Users/joshuacoles/Developer/checkouts/jc3091/CompB DLA/c-codebase/b.csv\")\n",
    "c = read_xy(\"/Users/joshuacoles/Developer/checkouts/jc3091/CompB DLA/c-codebase/c.csv\")\n",
    "d = read_xy(\"/Users/joshuacoles/Developer/checkouts/jc3091/CompB DLA/c-codebase/d.csv\")"
   ],
   "metadata": {
    "collapsed": false
   }
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  {
   "cell_type": "code",
   "execution_count": 16,
   "outputs": [
    {
     "data": {
      "text/plain": "1.7271570214996996"
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_of_tail(a.fd)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "outputs": [
    {
     "data": {
      "text/plain": "1.7271570214996996"
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_of_tail(b.fd)"
   ],
   "metadata": {
    "collapsed": false
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  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [
    {
     "data": {
      "text/plain": "1.7634427392486482"
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_of_tail(c.fd)"
   ],
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    "collapsed": false
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  {
   "cell_type": "code",
   "execution_count": 20,
   "outputs": [
    {
     "data": {
      "text/plain": "1.7634427392486482"
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_of_tail(d.fd)"
   ],
   "metadata": {
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  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/joshuacoles/Library/Caches/pypoetry/virtualenvs/data-analysis-B4Au_hWl-py3.10/lib/python3.10/site-packages/pandas/core/arraylike.py:402: RuntimeWarning: divide by zero encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "text/plain": "20769"
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "convergent_tail_index(read_xy(\"../fucking_massive.csv\").fd, 0.001)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
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