{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import uproot\n",
    "import awkward as ak\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "input_tree = uproot.open({\"/work/guenther/reco_tuner/data/param_data_selected_all_p.root\": \"Selected\"})\n",
    "array = input_tree.arrays()\n",
    "array = array[[field for field in ak.fields(array) if \"scifi_hit\" not in field]]\n",
    "df = ak.to_pandas(array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "urax = df.loc[(df[\"x_ref\"] > -3200) & (df[\"x_ref\"] < 3200), \"x_ref\"].plot.hist(bins=100, logy=True,title='x positions on reference plane', figsize=(8,6), fontsize=20,edgecolor='black')\n",
    "urax.set_xlabel('x [mm]', fontsize=24)\n",
    "urax.set_ylabel('Count', fontsize=24)\n",
    "urax.title.set_size(24)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "import numpy as np\n",
    "def fitFastSigmoid(x, p0, p1, p2 ):\n",
    "    return p0 + p1 * x / (1 + abs(x * p2) ) \n",
    "\n",
    "def sqrtSigmoid( x, p0, p1, p2 ):\n",
    "    return p0 + p1 * x / np.sqrt( p2 + x**2 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1152.3191321144784 1144.5112688972854\n",
      "BINS=900\n",
      "shift=126.0\n",
      "[ 4.50871394e+02  5.78026621e-01 -6.72848459e-04]\n",
      "at -3000 = 2\n",
      "at  0 = 576\n",
      "at 3000 = 1151\n",
      "at -3000 = 2.3960602381498575\n",
      "at  0 = 576.8713937732111\n",
      "at 3000 = 1151.3467273082724\n",
      "\n",
      "-1152.3191321144784 1145.2265343593158\n",
      "BINS=1000\n",
      "shift=140.0\n",
      "[5.00965281e+02 6.42244329e-01 6.72824292e-04]\n",
      "at -3000 = 2\n",
      "at  0 = 640\n",
      "at 3000 = 1279\n",
      "at -3000 = 2.6514499904290005\n",
      "at  0 = 640.965281389201\n",
      "at 3000 = 1279.279112787973\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>NBINS</th>\n",
       "      <th>nBinsReal</th>\n",
       "      <th>minBinWidth</th>\n",
       "      <th>maxBinWidth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>900</td>\n",
       "      <td>1152</td>\n",
       "      <td>1.520524</td>\n",
       "      <td>411.883522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1000</td>\n",
       "      <td>1280</td>\n",
       "      <td>1.378500</td>\n",
       "      <td>406.784548</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   NBINS  nBinsReal  minBinWidth  maxBinWidth\n",
       "0    900       1152     1.520524   411.883522\n",
       "1   1000       1280     1.378500   406.784548"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2400x2400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from math import ceil\n",
    "selection = (df[\"x_ref\"] > -3000) & (df[\"x_ref\"] < 3000) \n",
    "data = df.loc[selection, \"x_ref\"]\n",
    "#func = sqrtSigmoid\n",
    "func = fitFastSigmoid\n",
    "#NBINS=[800, 900, 1000, 1100]\n",
    "NBINS=[900, 1000]\n",
    "#SHIFTS = [48, 50, 53, 52]\n",
    "SHIFTS=[126., 140.]\n",
    "minBinWidths = []\n",
    "maxBinWidths = []\n",
    "nBinsReal = []\n",
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(24, 24))\n",
    "for i, BINS in enumerate(NBINS):\n",
    "    out, equal_bins = pd.qcut(data, q=BINS, retbins=True)\n",
    "    binWidths = np.array([ abs(equal_bins[j] - equal_bins[j+1]) for j in range(len(equal_bins)-1)])\n",
    "    minBinWidths.append( binWidths.min() )\n",
    "    maxBinWidths.append( binWidths.max() )\n",
    "    bin_numbering = np.arange(0, BINS+1)\n",
    "    equalbins_center = equal_bins[int(BINS/10):int(9*BINS/10)]\n",
    "    bin_numbering_center = bin_numbering[int(BINS/10):int(9*BINS/10)]\n",
    "    print(equalbins_center[0], equalbins_center[-1])\n",
    "    popt, pcov = curve_fit( func, xdata=equalbins_center, ydata=bin_numbering_center )\n",
    "    if i<2:\n",
    "        axes[0,i].plot(equal_bins, bin_numbering, '.', label='data')\n",
    "        axes[0,i].plot(equal_bins, func(equal_bins, *popt), label=f'p0={popt[0]}\\np1={popt[1]}\\np2={popt[2]}\\n')\n",
    "        axes[0,i].legend()\n",
    "    else:\n",
    "        axes[1,i-2].plot(equal_bins, bin_numbering, '.', label='data')\n",
    "        axes[1,i-2].plot(equal_bins, func(equal_bins, *popt), label=f'p0={popt[0]}\\np1={popt[1]}\\np2={popt[2]}\\n')\n",
    "        axes[1,i-2].legend()\n",
    "    shift = SHIFTS[i]\n",
    "    nBinsReal.append(ceil(func(3000, popt[0]+shift, popt[1], popt[2])))\n",
    "    print(f'BINS={BINS}')\n",
    "    print(f'shift={shift}')\n",
    "    print(popt)\n",
    "    print(f'at -3000 = {int(func(-3000., popt[0]+shift, popt[1], popt[2]))}')\n",
    "    print(f'at  0 = {int(func(0., popt[0]+shift, popt[1], popt[2]))}')\n",
    "    print(f'at 3000 = {int(func(3000., popt[0]+shift, popt[1], popt[2]))}')\n",
    "    print(f'at -3000 = {func(-3000., popt[0]+shift, popt[1], popt[2])}')\n",
    "    print(f'at  0 = {func(0., popt[0]+shift, popt[1], popt[2])}')\n",
    "    print(f'at 3000 = {func(3000., popt[0]+shift, popt[1], popt[2])}')\n",
    "    print()\n",
    "binData = pd.DataFrame({'NBINS':NBINS, 'nBinsReal': nBinsReal,'minBinWidth':minBinWidths, 'maxBinWidth':maxBinWidths})\n",
    "#ax = binData.plot(x='NBINS', y=['minBinWidth', 'maxBinWidth'], logy=True)\n",
    "binData"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3.10.6 (conda)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
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   "interpreter": {
    "hash": "a2eff8b4da8b8eebf5ee2e5f811f31a557e0a202b4d2f04f849b065340a6eda6"
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