{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "64af9980",
   "metadata": {},
   "source": [
    "# df002_dataModel\n",
    "Show how to work with non-flat data models, e.g. vectors of tracks.\n",
    "\n",
    "This tutorial shows the possibility to use data models which are more\n",
    "complex than flat ntuples with RDataFrame.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "**Author:** Danilo Piparo (CERN)  \n",
    "<i><small>This notebook tutorial was automatically generated with <a href= \"https://github.com/root-project/root/blob/master/documentation/doxygen/converttonotebook.py\">ROOTBOOK-izer</a> from the macro found in the ROOT repository  on Tuesday, May 19, 2026 at 08:09 PM.</small></i>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d7ca8546",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:17.854434Z",
     "iopub.status.busy": "2026-05-19T20:09:17.854296Z",
     "iopub.status.idle": "2026-05-19T20:09:18.875049Z",
     "shell.execute_reply": "2026-05-19T20:09:18.864439Z"
    }
   },
   "outputs": [],
   "source": [
    "import ROOT"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3009ec0b",
   "metadata": {},
   "source": [
    "A simple helper function to fill a test tree: this makes the example stand-alone."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4caddf00",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:18.886236Z",
     "iopub.status.busy": "2026-05-19T20:09:18.886093Z",
     "iopub.status.idle": "2026-05-19T20:09:19.044151Z",
     "shell.execute_reply": "2026-05-19T20:09:19.028951Z"
    }
   },
   "outputs": [],
   "source": [
    "fill_tree_code = \"\"\"\n",
    "using FourVector = ROOT::Math::XYZTVector;\n",
    "using FourVectorVec = std::vector<FourVector>;\n",
    "using CylFourVector = ROOT::Math::RhoEtaPhiVector;\n",
    "\n",
    "// A simple helper function to fill a test tree: this makes the example\n",
    "// stand-alone.\n",
    "void fill_tree(const char *filename, const char *treeName)\n",
    "{\n",
    "   const double M = 0.13957; // set pi+ mass\n",
    "   TRandom3 R(1);\n",
    "\n",
    "   auto genTracks = [&](){\n",
    "      FourVectorVec tracks;\n",
    "      const auto nPart = R.Poisson(15);\n",
    "      tracks.reserve(nPart);\n",
    "      for (int j = 0; j < nPart; ++j) {\n",
    "         const auto px = R.Gaus(0, 10);\n",
    "         const auto py = R.Gaus(0, 10);\n",
    "         const auto pt = sqrt(px * px + py * py);\n",
    "         const auto eta = R.Uniform(-3, 3);\n",
    "         const auto phi = R.Uniform(0.0, 2 * TMath::Pi());\n",
    "         CylFourVector vcyl(pt, eta, phi);\n",
    "         // set energy\n",
    "         auto E = sqrt(vcyl.R() * vcyl.R() + M * M);\n",
    "         // fill track vector\n",
    "         tracks.emplace_back(vcyl.X(), vcyl.Y(), vcyl.Z(), E);\n",
    "      }\n",
    "      return tracks;\n",
    "   };\n",
    "\n",
    "   ROOT::RDataFrame d(64);\n",
    "   d.Define(\"tracks\", genTracks).Snapshot(treeName, filename, {\"tracks\"});\n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0539e27",
   "metadata": {},
   "source": [
    "We prepare an input tree to run on"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "61be9fa5",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:19.071267Z",
     "iopub.status.busy": "2026-05-19T20:09:19.071109Z",
     "iopub.status.idle": "2026-05-19T20:09:20.350218Z",
     "shell.execute_reply": "2026-05-19T20:09:20.349598Z"
    }
   },
   "outputs": [],
   "source": [
    "fileName = \"df002_dataModel_py.root\"\n",
    "treeName = \"myTree\"\n",
    "ROOT.gInterpreter.Declare(fill_tree_code)\n",
    "ROOT.fill_tree(fileName, treeName)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e149243d",
   "metadata": {},
   "source": [
    "We read the tree from the file and create a RDataFrame, a class that\n",
    "allows us to interact with the data contained in the tree."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "22cdd6f7",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:20.367206Z",
     "iopub.status.busy": "2026-05-19T20:09:20.367068Z",
     "iopub.status.idle": "2026-05-19T20:09:20.758076Z",
     "shell.execute_reply": "2026-05-19T20:09:20.757431Z"
    }
   },
   "outputs": [],
   "source": [
    "d = ROOT.RDataFrame(treeName, fileName)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fafbe9b5",
   "metadata": {},
   "source": [
    "Operating on branches which are collections of objects\n",
    "Here we deal with the simplest of the cuts: we decide to accept the event\n",
    "only if the number of tracks is greater than 8."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6948cacc",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:20.762398Z",
     "iopub.status.busy": "2026-05-19T20:09:20.762274Z",
     "iopub.status.idle": "2026-05-19T20:09:21.766223Z",
     "shell.execute_reply": "2026-05-19T20:09:21.765573Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "62 events passed all filters\n"
     ]
    }
   ],
   "source": [
    "n_cut = \"tracks.size() > 8\"\n",
    "nentries = d.Filter(n_cut).Count()\n",
    "\n",
    "print(\"%s events passed all filters\" % nentries.GetValue())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47035d2f",
   "metadata": {},
   "source": [
    "Another possibility consists in creating a new column containing the\n",
    "quantity we are interested in.\n",
    "In this example, we will cut on the number of tracks and plot their\n",
    "transverse momentum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8c14ceab",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:21.785326Z",
     "iopub.status.busy": "2026-05-19T20:09:21.785189Z",
     "iopub.status.idle": "2026-05-19T20:09:21.980278Z",
     "shell.execute_reply": "2026-05-19T20:09:21.979615Z"
    }
   },
   "outputs": [],
   "source": [
    "getPt_code = \"\"\"\n",
    "using namespace ROOT::VecOps;\n",
    "ROOT::RVecD getPt(const RVec<FourVector> &tracks)\n",
    "{\n",
    "   auto pt = [](const FourVector &v) { return v.pt(); };\n",
    "   return Map(tracks, pt);\n",
    "}\n",
    "\"\"\"\n",
    "ROOT.gInterpreter.Declare(getPt_code)\n",
    "\n",
    "getPtWeights_code = \"\"\"\n",
    "using namespace ROOT::VecOps;\n",
    "ROOT::RVecD getPtWeights(const RVec<FourVector> &tracks)\n",
    "{\n",
    "   auto ptWeight = [](const FourVector &v) { return 1. / v.Pt(); };\n",
    "   return Map(tracks, ptWeight);\n",
    "};\n",
    "\"\"\"\n",
    "ROOT.gInterpreter.Declare(getPtWeights_code)\n",
    "\n",
    "augmented_d = (\n",
    "    d.Define(\"tracks_n\", \"(int)tracks.size()\")\n",
    "    .Filter(\"tracks_n > 2\")\n",
    "    .Define(\"tracks_pts\", \"getPt( tracks )\")\n",
    "    .Define(\"tracks_pts_weights\", \"getPtWeights( tracks )\")\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43bf714f",
   "metadata": {},
   "source": [
    "The histogram is initialised with a tuple containing the parameters of the\n",
    "histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4840bfa5",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:21.989240Z",
     "iopub.status.busy": "2026-05-19T20:09:21.989113Z",
     "iopub.status.idle": "2026-05-19T20:09:23.992161Z",
     "shell.execute_reply": "2026-05-19T20:09:23.991526Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Info in <TCanvas::Print>: png file df002_trN.png has been created\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Info in <TCanvas::Print>: png file df002_trPts.png has been created\n",
      "Info in <TCanvas::Print>: png file df002_trWPts.png has been created\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saved figures to df002_*.png\n"
     ]
    }
   ],
   "source": [
    "trN = augmented_d.Histo1D((\"\", \"\", 40, -0.5, 39.5), \"tracks_n\")\n",
    "trPts = augmented_d.Histo1D(\"tracks_pts\")\n",
    "trWPts = augmented_d.Histo1D(\"tracks_pts\", \"tracks_pts_weights\")\n",
    "\n",
    "c1 = ROOT.TCanvas()\n",
    "trN.Draw()\n",
    "c1.SaveAs(\"df002_trN.png\")\n",
    "\n",
    "c2 = ROOT.TCanvas()\n",
    "trPts.Draw()\n",
    "c2.SaveAs(\"df002_trPts.png\")\n",
    "\n",
    "c3 = ROOT.TCanvas()\n",
    "trWPts.Draw()\n",
    "c2.SaveAs(\"df002_trWPts.png\")\n",
    "\n",
    "print(\"Saved figures to df002_*.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "535a6493",
   "metadata": {},
   "source": [
    "Draw all canvases "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f58d0171",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:09:23.999201Z",
     "iopub.status.busy": "2026-05-19T20:09:23.999073Z",
     "iopub.status.idle": "2026-05-19T20:09:24.198173Z",
     "shell.execute_reply": "2026-05-19T20:09:24.197787Z"
    }
   },
   "outputs": [
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').then(json => {\n",
       "   const obj = Core.parse(json);\n",
       "   Core.draw('root_plot_1779221364164', obj, '');\n",
       "});\n",
       "\n",
       "      }\n",
       "      const servers = ['/static/', 'https://root.cern/js/7.11.0/', 'https://jsroot.gsi.de/7.11.0/'],\n",
       "            path = 'build/jsroot';\n",
       "      if (typeof JSROOT !== 'undefined')\n",
       "         execCode(JSROOT);\n",
       "      else if (typeof requirejs !== 'undefined') {\n",
       "         servers.forEach((s,i) => { servers[i] = s + path; });\n",
       "         requirejs.config({ paths: { 'jsroot' : servers } })(['jsroot'],  execCode);\n",
       "      } else {\n",
       "         const config = document.getElementById('jupyter-config-data');\n",
       "         if (config)\n",
       "            servers[0] = (JSON.parse(config.innerHTML || '{}')?.baseUrl || '/') + 'static/';\n",
       "         else\n",
       "            servers.shift();\n",
       "         function loadJsroot() {\n",
       "            return !servers.length ? 0 : import(servers.shift() + path + '.js').catch(loadJsroot).then(() => execCode(JSROOT));\n",
       "         }\n",
       "         loadJsroot();\n",
       "      }\n",
       "   }\n",
       "   process_root_plot_1779221364164();\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "<div id=\"root_plot_1779221364183\" style=\"width: 700px; height: 500px; position: relative\">\n",
       "</div>\n",
       "\n",
       "</div>\n",
       "<script>\n",
       "   function process_root_plot_1779221364183() {\n",
       "      function execCode(Core) {\n",
       "         Core.settings.HandleKeys = false;\n",
       "         \n",
       "Core.unzipJSON(40149,'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').then(json => {\n",
       "   const obj = Core.parse(json);\n",
       "   Core.draw('root_plot_1779221364183', obj, '');\n",
       "});\n",
       "\n",
       "      }\n",
       "      const servers = ['/static/', 'https://root.cern/js/7.11.0/', 'https://jsroot.gsi.de/7.11.0/'],\n",
       "            path = 'build/jsroot';\n",
       "      if (typeof JSROOT !== 'undefined')\n",
       "         execCode(JSROOT);\n",
       "      else if (typeof requirejs !== 'undefined') {\n",
       "         servers.forEach((s,i) => { servers[i] = s + path; });\n",
       "         requirejs.config({ paths: { 'jsroot' : servers } })(['jsroot'],  execCode);\n",
       "      } else {\n",
       "         const config = document.getElementById('jupyter-config-data');\n",
       "         if (config)\n",
       "            servers[0] = (JSON.parse(config.innerHTML || '{}')?.baseUrl || '/') + 'static/';\n",
       "         else\n",
       "            servers.shift();\n",
       "         function loadJsroot() {\n",
       "            return !servers.length ? 0 : import(servers.shift() + path + '.js').catch(loadJsroot).then(() => execCode(JSROOT));\n",
       "         }\n",
       "         loadJsroot();\n",
       "      }\n",
       "   }\n",
       "   process_root_plot_1779221364183();\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "<div id=\"root_plot_1779221364189\" style=\"width: 700px; height: 500px; position: relative\">\n",
       "</div>\n",
       "\n",
       "</div>\n",
       "<script>\n",
       "   function process_root_plot_1779221364189() {\n",
       "      function execCode(Core) {\n",
       "         Core.settings.HandleKeys = false;\n",
       "         \n",
       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').then(json => {\n",
       "   const obj = Core.parse(json);\n",
       "   Core.draw('root_plot_1779221364189', obj, '');\n",
       "});\n",
       "\n",
       "      }\n",
       "      const servers = ['/static/', 'https://root.cern/js/7.11.0/', 'https://jsroot.gsi.de/7.11.0/'],\n",
       "            path = 'build/jsroot';\n",
       "      if (typeof JSROOT !== 'undefined')\n",
       "         execCode(JSROOT);\n",
       "      else if (typeof requirejs !== 'undefined') {\n",
       "         servers.forEach((s,i) => { servers[i] = s + path; });\n",
       "         requirejs.config({ paths: { 'jsroot' : servers } })(['jsroot'],  execCode);\n",
       "      } else {\n",
       "         const config = document.getElementById('jupyter-config-data');\n",
       "         if (config)\n",
       "            servers[0] = (JSON.parse(config.innerHTML || '{}')?.baseUrl || '/') + 'static/';\n",
       "         else\n",
       "            servers.shift();\n",
       "         function loadJsroot() {\n",
       "            return !servers.length ? 0 : import(servers.shift() + path + '.js').catch(loadJsroot).then(() => execCode(JSROOT));\n",
       "         }\n",
       "         loadJsroot();\n",
       "      }\n",
       "   }\n",
       "   process_root_plot_1779221364189();\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ROOT import gROOT \n",
    "gROOT.GetListOfCanvases().Draw()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.12.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
