{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import uproot\n",
    "import numpy as np\n",
    "import sys\n",
    "import os\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import mplhep\n",
    "from mpl_toolkits import mplot3d\n",
    "import itertools\n",
    "import awkward as ak\n",
    "from scipy.optimize import curve_fit\n",
    "from utils.components import unique_name_ext_re\n",
    "mplhep.style.use([\"LHCbTex2\"])\n",
    "plt.rcParams[\"savefig.dpi\"] = 600\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "50501"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "file = uproot.open(\n",
    "    \"/work/cetin/LHCb/reco_tuner/data/tracking_losses_ntuple_B_thesis.root:PrDebugTrackingLosses.PrDebugTrackingTool/Tuple;1\"\n",
    ")\n",
    "\n",
    "# selektiere nur elektronen von B->K*ee\n",
    "allcolumns = file.arrays()\n",
    "electrons = allcolumns[(allcolumns.isElectron) & (allcolumns.fromB)]\n",
    "\n",
    "ak.num(electrons, axis=0)\n",
    "# ak.count(found, axis=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# electrons.type.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "cut_prop: bool = electrons.p_end_velo > 0  # 3e3\n",
    "found = electrons[~electrons.lost & cut_prop]\n",
    "lost = electrons[electrons.lost & cut_prop]\n",
    "\n",
    "eloss_found = (found[\"p\"] - found[\"p_end_scifi\"]) / found[\"p\"]\n",
    "eloss_lost = (lost[\"p\"] - lost[\"p_end_scifi\"]) / lost[\"p\"]\n",
    "\n",
    "eloss = (electrons[\"p\"] - electrons[\"p_end_scifi\"]) / electrons[\"p\"]\n",
    "eloss_magnet_found = ak.to_numpy(\n",
    "    (found[\"p_end_velo\"] - found[\"p_end_scifi\"]) / found[\"p_end_velo\"]\n",
    ")\n",
    "eloss_magnet_lost = ak.to_numpy(\n",
    "    (lost[\"p_end_velo\"] - lost[\"p_end_scifi\"]) / lost[\"p_end_velo\"]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "eloss_velo_found = (found[\"p\"] - found[\"p_end_velo\"]) / found[\"p\"]\n",
    "eloss_velo_lost = (lost[\"p\"] - lost[\"p_end_velo\"]) / lost[\"p\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nbins = 50\n",
    "plt.hist(\n",
    "    ak.to_numpy(eloss_lost),\n",
    "    bins=nbins,\n",
    "    density=True,\n",
    "    alpha=0.5,\n",
    "    histtype=\"bar\",\n",
    "    color=\"#F05342\",\n",
    "    label=\"lost\",\n",
    "    range=[0.001, 1],\n",
    ")\n",
    "# #2A9D8F another teal color\n",
    "plt.hist(\n",
    "    ak.to_numpy(eloss_found),\n",
    "    bins=nbins,\n",
    "    density=True,\n",
    "    alpha=0.5,\n",
    "    histtype=\"bar\",\n",
    "    color=\"#107E7D\",\n",
    "    label=\"found\",\n",
    "    range=[0.001, 1],\n",
    ")\n",
    "\n",
    "plt.xlabel(r\"$E_\\gamma/E_0$\")\n",
    "plt.ylabel(\"a.u.\")\n",
    "# plt.title(r'$B\\rightarrow K^\\ast ee$, $p>5$GeV, photons w/ brem_vtx_z$<9500$mm')\n",
    "plt.legend(title=\"LHCb Simulation\")\n",
    "plt.show()\n",
    "# plt.savefig(\n",
    "#     \"/work/cetin/Projektpraktikum/thesis/emitted_energy_beginVelo2endT.pdf\",\n",
    "#     format=\"PDF\",\n",
    "# )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nbins = 50\n",
    "plt.hist(\n",
    "    ak.to_numpy(eloss_magnet_lost),\n",
    "    bins=nbins,\n",
    "    density=True,\n",
    "    alpha=0.5,\n",
    "    histtype=\"bar\",\n",
    "    color=\"#F05342\",\n",
    "    label=\"lost\",\n",
    "    range=[0.001, 1],\n",
    ")\n",
    "# #2A9D8F another teal color\n",
    "plt.hist(\n",
    "    ak.to_numpy(eloss_magnet_found),\n",
    "    bins=nbins,\n",
    "    density=True,\n",
    "    alpha=0.5,\n",
    "    histtype=\"bar\",\n",
    "    color=\"#107E7D\",\n",
    "    label=\"found\",\n",
    "    range=[0.001, 1],\n",
    ")\n",
    "\n",
    "plt.xlabel(r\"$E_\\gamma/E_{VELO}$\")\n",
    "plt.ylabel(\"a.u.\")\n",
    "# plt.title(r'$B\\rightarrow K^\\ast ee$, $p>5$GeV, photons w/ brem_vtx_z$<9500$mm')\n",
    "plt.legend(title=\"LHCb Simulation\")\n",
    "plt.show()\n",
    "# plt.savefig(\n",
    "#     \"/work/cetin/Projektpraktikum/thesis/emitted_energy_endVelo2endT.pdf\", format=\"PDF\"\n",
    "# )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nbins = 50\n",
    "plt.hist(\n",
    "    ak.to_numpy(eloss_velo_lost),\n",
    "    bins=nbins,\n",
    "    density=True,\n",
    "    alpha=0.5,\n",
    "    histtype=\"bar\",\n",
    "    color=\"#F05342\",\n",
    "    label=\"lost\",\n",
    "    range=[0.001, 1],\n",
    ")\n",
    "# #2A9D8F another teal color\n",
    "plt.hist(\n",
    "    ak.to_numpy(eloss_velo_found),\n",
    "    bins=nbins,\n",
    "    density=True,\n",
    "    alpha=0.5,\n",
    "    histtype=\"bar\",\n",
    "    color=\"#107E7D\",\n",
    "    label=\"found\",\n",
    "    range=[0.001, 1],\n",
    ")\n",
    "\n",
    "plt.xlabel(r\"$E_\\gamma/E_0$\")\n",
    "plt.ylabel(\"a.u.\")\n",
    "# plt.title(r'$B\\rightarrow K^\\ast ee$, $p>5$GeV, photons w/ brem_vtx_z$<9500$mm')\n",
    "plt.legend(title=\"LHCb Simulation\")\n",
    "plt.show()\n",
    "# plt.savefig(\n",
    "#     \"/work/cetin/Projektpraktikum/thesis/emitted_energy_beginVelo2endVelo.pdf\",\n",
    "#     format=\"PDF\",\n",
    "# )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "### --- ### above should be correct"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# magnet kick position\n",
    "input_tree = uproot.open({\n",
    "    \"/work/cetin/Projektpraktikum/param_data_B_default_thesis.root\":\n",
    "    \"PrParameterisationData_2ece6184.PrDebugTrackingTool/Tuple;1\"\n",
    "})\n",
    "array = input_tree.arrays()\n",
    "array = array[array.isElectron & (array.fromB)]\n",
    "array[\"dSlope_fringe\"] = array[\"tx_ref\"] - array[\"tx\"]\n",
    "array[\"z_mag_x_fringe\"] = (\n",
    "    array[\"x\"] - array[\"x_ref\"] - array[\"tx\"] * array[\"z\"] +\n",
    "    array[\"tx_ref\"] * array[\"z_ref\"]) / array[\"dSlope_fringe\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "plt.hist(array[\"z_mag_x_fringe\"],\n",
    "         bins=50,\n",
    "         range=[5150, 5300],\n",
    "         color=\"#2A9D8F\",\n",
    "         density=True)\n",
    "plt.xlabel(r\"z$_{Mag}$ [mm]\")\n",
    "plt.ylabel(\"Number of Tracks (normalised)\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "50501"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ak.num(array, axis=0)"
   ]
  },
  {
   "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
}