{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "import uproot\n",
    "import ROOT\n",
    "import matplotlib.pyplot as plt\n",
    "import awkward as ak\n",
    "import numpy as np\n",
    "from numpy import abs\n",
    "import math\n",
    "from array import array\n",
    "import mplhep\n",
    "mplhep.style.use([\"LHCbTex2\"])\n",
    "#%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "File = uproot.open(\"/work/cetin/LHCb/reco_tuner/data/ghost_data_B_new_vars_default_weights.root:PrMatchNN_3e224c41.PrMCDebugMatchToolNN/MVAInputAndOutput\")\n",
    "allcolumns = File.arrays()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "tracked = allcolumns[allcolumns[\"mc_quality\"]==-1]\n",
    "ghost = allcolumns[allcolumns[\"mc_quality\"]==0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "tracked_zmag = ak.to_numpy(tracked[\"mc_zMag\"])\n",
    "\n",
    "ghost_zmag = ak.to_numpy(ghost[\"mc_zMag\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(tracked_zmag, bins=100, label=\"tracked\", alpha=0.6, density=True)\n",
    "plt.hist(ghost_zmag, bins=100, label=\"ghosts\", alpha=0.6, density=True)\n",
    "plt.xlabel(r\"$z_{mag}$\")\n",
    "plt.ylabel(\"a.u.\")\n",
    "plt.title(\"Magnet kink position\")\n",
    "plt.legend()\n",
    "#plt.colorbar(h2[3])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "tuner",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}