{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "df5c688b",
   "metadata": {},
   "source": [
    "# rf407_ComputationalGraphVisualization\n",
    "Data and categories: Visualing computational graph model before fitting, and latex printing of lists and sets of RooArgSets after fitting\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "**Author:** Wouter Verkerke  \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 08:31 PM.</small></i>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c74fde3c",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:55.914881Z",
     "iopub.status.busy": "2026-05-19T20:31:55.914776Z",
     "iopub.status.idle": "2026-05-19T20:31:55.928744Z",
     "shell.execute_reply": "2026-05-19T20:31:55.928318Z"
    }
   },
   "outputs": [],
   "source": [
    "%%cpp -d\n",
    "#include \"RooRealVar.h\"\n",
    "#include \"RooDataSet.h\"\n",
    "#include \"RooGaussian.h\"\n",
    "#include \"RooChebychev.h\"\n",
    "#include \"RooAddPdf.h\"\n",
    "#include \"RooExponential.h\"\n",
    "#include \"TCanvas.h\"\n",
    "#include \"TAxis.h\"\n",
    "#include \"RooPlot.h\"\n",
    "using namespace RooFit;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bcff756e",
   "metadata": {},
   "source": [
    "Setup composite  pdf\n",
    "--------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94b28cc6",
   "metadata": {},
   "source": [
    "Declare observable x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "85b5e336",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:55.930180Z",
     "iopub.status.busy": "2026-05-19T20:31:55.930071Z",
     "iopub.status.idle": "2026-05-19T20:31:56.243334Z",
     "shell.execute_reply": "2026-05-19T20:31:56.242968Z"
    }
   },
   "outputs": [],
   "source": [
    "RooRealVar x(\"x\", \"x\", 0, 10);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23ca300c",
   "metadata": {},
   "source": [
    "Create two Gaussian PDFs g1(x,mean1,sigma) anf g2(x,mean2,sigma) and their parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a851b2d2",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:56.246086Z",
     "iopub.status.busy": "2026-05-19T20:31:56.245972Z",
     "iopub.status.idle": "2026-05-19T20:31:56.454139Z",
     "shell.execute_reply": "2026-05-19T20:31:56.453738Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[#0] WARNING:InputArguments -- The parameter 'sigma1' with range [-inf, inf] of the RooGaussian 'sig1' exceeds the safe range of (0, inf). Advise to limit its range.\n",
      "[#0] WARNING:InputArguments -- The parameter 'sigma2' with range [-inf, inf] of the RooGaussian 'sig2' exceeds the safe range of (0, inf). Advise to limit its range.\n"
     ]
    }
   ],
   "source": [
    "RooRealVar mean(\"mean\", \"mean of gaussians\", 5);\n",
    "RooRealVar sigma1(\"sigma1\", \"width of gaussians\", 0.5);\n",
    "RooRealVar sigma2(\"sigma2\", \"width of gaussians\", 1);\n",
    "RooGaussian sig1(\"sig1\", \"Signal component 1\", x, mean, sigma1);\n",
    "RooGaussian sig2(\"sig2\", \"Signal component 2\", x, mean, sigma2);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce3e65aa",
   "metadata": {},
   "source": [
    "Sum the signal components into a composite signal pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2d043406",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:56.455762Z",
     "iopub.status.busy": "2026-05-19T20:31:56.455650Z",
     "iopub.status.idle": "2026-05-19T20:31:56.663461Z",
     "shell.execute_reply": "2026-05-19T20:31:56.662963Z"
    }
   },
   "outputs": [],
   "source": [
    "RooRealVar sig1frac(\"sig1frac\", \"fraction of component 1 in signal\", 0.8, 0., 1.);\n",
    "RooAddPdf sig(\"sig\", \"Signal\", RooArgList(sig1, sig2), sig1frac);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "039f9bc0",
   "metadata": {},
   "source": [
    "Build Chebychev polynomial pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4b90e17a",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:56.665277Z",
     "iopub.status.busy": "2026-05-19T20:31:56.665166Z",
     "iopub.status.idle": "2026-05-19T20:31:56.873037Z",
     "shell.execute_reply": "2026-05-19T20:31:56.872543Z"
    }
   },
   "outputs": [],
   "source": [
    "RooRealVar a0(\"a0\", \"a0\", 0.5, 0., 1.);\n",
    "RooRealVar a1(\"a1\", \"a1\", 0.2, 0., 1.);\n",
    "RooChebychev bkg1(\"bkg1\", \"Background 1\", x, RooArgSet(a0, a1));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1f909351",
   "metadata": {},
   "source": [
    "Build expontential pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6161dff3",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:56.875209Z",
     "iopub.status.busy": "2026-05-19T20:31:56.875074Z",
     "iopub.status.idle": "2026-05-19T20:31:57.083365Z",
     "shell.execute_reply": "2026-05-19T20:31:57.082798Z"
    }
   },
   "outputs": [],
   "source": [
    "RooRealVar alpha(\"alpha\", \"alpha\", -1);\n",
    "RooExponential bkg2(\"bkg2\", \"Background 2\", x, alpha);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af28466c",
   "metadata": {},
   "source": [
    "Sum the background components into a composite background pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9f6ef103",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:57.085098Z",
     "iopub.status.busy": "2026-05-19T20:31:57.084977Z",
     "iopub.status.idle": "2026-05-19T20:31:57.293238Z",
     "shell.execute_reply": "2026-05-19T20:31:57.292489Z"
    }
   },
   "outputs": [],
   "source": [
    "RooRealVar bkg1frac(\"sig1frac\", \"fraction of component 1 in background\", 0.2, 0., 1.);\n",
    "RooAddPdf bkg(\"bkg\", \"Signal\", RooArgList(bkg1, bkg2), sig1frac);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95f57ae8",
   "metadata": {},
   "source": [
    "Sum the composite signal and background"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "41e809cd",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:57.295022Z",
     "iopub.status.busy": "2026-05-19T20:31:57.294905Z",
     "iopub.status.idle": "2026-05-19T20:31:57.503060Z",
     "shell.execute_reply": "2026-05-19T20:31:57.502593Z"
    }
   },
   "outputs": [],
   "source": [
    "RooRealVar bkgfrac(\"bkgfrac\", \"fraction of background\", 0.5, 0., 1.);\n",
    "RooAddPdf model(\"model\", \"g1+g2+a\", RooArgList(bkg, sig), bkgfrac);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1f8c3ab",
   "metadata": {},
   "source": [
    "Print composite tree in ASCII\n",
    "-----------------------------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "753d579e",
   "metadata": {},
   "source": [
    "Print tree to stdout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "018af34f",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:57.507513Z",
     "iopub.status.busy": "2026-05-19T20:31:57.507387Z",
     "iopub.status.idle": "2026-05-19T20:31:57.713746Z",
     "shell.execute_reply": "2026-05-19T20:31:57.713360Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0x7f71522773e8 RooAddPdf::model = 0.820674/1 [Auto,Clean] \n",
      "  0x7f715227a3e8/V- RooAddPdf::bkg = 0.641348/1 [Auto,Clean] \n",
      "    0x7f71522807d0/V- RooChebychev::bkg1 = 0.8 [Auto,Dirty] \n",
      "      0x7f7152358000/V- RooRealVar::x = 5\n",
      "      0x7f7152280000/V- RooRealVar::a0 = 0.5\n",
      "      0x7f71522803e8/V- RooRealVar::a1 = 0.2\n",
      "    0x7f7152288000/V- RooRealVar::sig1frac = 0.8\n",
      "    0x7f715227d3e8/V- RooExponential::bkg2 = 0.00673795 [Auto,Dirty] \n",
      "      0x7f7152358000/V- RooRealVar::x = 5\n",
      "      0x7f715227d000/V- RooRealVar::alpha = -1\n",
      "  0x7f7152277000/V- RooRealVar::bkgfrac = 0.5\n",
      "  0x7f71522883e8/V- RooAddPdf::sig = 1/1 [Auto,Clean] \n",
      "    0x7f715228bbb8/V- RooGaussian::sig1 = 1 [Auto,Dirty] \n",
      "      0x7f7152358000/V- RooRealVar::x = 5\n",
      "      0x7f715228b000/V- RooRealVar::mean = 5\n",
      "      0x7f715228b3e8/V- RooRealVar::sigma1 = 0.5\n",
      "    0x7f7152288000/V- RooRealVar::sig1frac = 0.8\n",
      "    0x7f715228c110/V- RooGaussian::sig2 = 1 [Auto,Dirty] \n",
      "      0x7f7152358000/V- RooRealVar::x = 5\n",
      "      0x7f715228b000/V- RooRealVar::mean = 5\n",
      "      0x7f715228b7d0/V- RooRealVar::sigma2 = 1\n"
     ]
    }
   ],
   "source": [
    "model.Print(\"t\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80aeee1d",
   "metadata": {},
   "source": [
    "Print tree to file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "18bee0a3",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:57.722042Z",
     "iopub.status.busy": "2026-05-19T20:31:57.721914Z",
     "iopub.status.idle": "2026-05-19T20:31:57.927796Z",
     "shell.execute_reply": "2026-05-19T20:31:57.926788Z"
    }
   },
   "outputs": [],
   "source": [
    "model.printCompactTree(\"\", \"rf206_asciitree.txt\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98a957bb",
   "metadata": {},
   "source": [
    "Draw composite tree graphically\n",
    "-------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2fa7eaa",
   "metadata": {},
   "source": [
    "Print GraphViz DOT file with representation of tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "74152d04",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:57.930353Z",
     "iopub.status.busy": "2026-05-19T20:31:57.930230Z",
     "iopub.status.idle": "2026-05-19T20:31:58.136061Z",
     "shell.execute_reply": "2026-05-19T20:31:58.135057Z"
    }
   },
   "outputs": [],
   "source": [
    "model.graphVizTree(\"rf206_model.dot\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "249bafe8",
   "metadata": {},
   "source": [
    "Make graphic output file with one of the GraphViz tools\n",
    "(freely available from www.graphviz.org)\n",
    "\n",
    "'Top-to-bottom graph'\n",
    "unix> dot -Tgif -o rf207_model_dot.gif rf207_model.dot\n",
    "\n",
    "'Spring-model graph'\n",
    "unix> fdp -Tgif -o rf207_model_fdp.gif rf207_model.dot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa5dc1cc",
   "metadata": {},
   "source": [
    "Make list of parameters before and after fit\n",
    "----------------------------------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "123c5364",
   "metadata": {},
   "source": [
    "Make list of model parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7bf9a800",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:58.137686Z",
     "iopub.status.busy": "2026-05-19T20:31:58.137529Z",
     "iopub.status.idle": "2026-05-19T20:31:58.346257Z",
     "shell.execute_reply": "2026-05-19T20:31:58.345274Z"
    }
   },
   "outputs": [],
   "source": [
    "std::unique_ptr<RooArgSet> params{model.getParameters(x)};"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ceb65f0b",
   "metadata": {},
   "source": [
    "Save snapshot of prefit parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c2e8ff59",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:58.347740Z",
     "iopub.status.busy": "2026-05-19T20:31:58.347595Z",
     "iopub.status.idle": "2026-05-19T20:31:58.556028Z",
     "shell.execute_reply": "2026-05-19T20:31:58.555039Z"
    }
   },
   "outputs": [],
   "source": [
    "std::unique_ptr<RooArgSet> initParams{static_cast<RooArgSet *>(params->snapshot())};"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63685394",
   "metadata": {},
   "source": [
    "Do fit to data, to obtain error estimates on parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "96ab15cf",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:58.557731Z",
     "iopub.status.busy": "2026-05-19T20:31:58.557573Z",
     "iopub.status.idle": "2026-05-19T20:31:58.768194Z",
     "shell.execute_reply": "2026-05-19T20:31:58.767460Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[#1] INFO:Fitting -- RooAbsPdf::fitTo(model) fixing normalization set for coefficient determination to observables in data\n",
      "[#1] INFO:Fitting -- using generic CPU library compiled with no vectorizations\n",
      "[#1] INFO:Fitting -- Creation of NLL object took 774.354 μs\n",
      "[#1] INFO:Fitting -- RooAddition::defaultErrorLevel(nll_model_modelData) Summation contains a RooNLLVar, using its error level\n",
      "[#1] INFO:Minimization -- [fitFCN] No discrete parameters, performing continuous minimization only\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "input_line_61:2:2: warning: 'data' shadows a declaration with the same name in the 'std' namespace; use '::data' to reference this declaration\n",
      " std::unique_ptr<RooDataSet> data{model.generate(x, 1000)};\n",
      " ^\n"
     ]
    }
   ],
   "source": [
    "std::unique_ptr<RooDataSet> data{model.generate(x, 1000)};\n",
    "model.fitTo(*data, PrintLevel(-1));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30e19e7c",
   "metadata": {},
   "source": [
    "Print latex table of parameters of pdf\n",
    "--------------------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17b0d16c",
   "metadata": {},
   "source": [
    "Print parameter list in LaTeX for (one column with names, one column with values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "802dd25b",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:58.769572Z",
     "iopub.status.busy": "2026-05-19T20:31:58.769435Z",
     "iopub.status.idle": "2026-05-19T20:31:58.979471Z",
     "shell.execute_reply": "2026-05-19T20:31:58.978715Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\\begin{tabular}{lc}\n",
      "$\\verb+a0+ $ & $  0.6\\pm 0.2$\\\\\n",
      "$\\verb+a1+ $ & $  0.2\\pm 0.2$\\\\\n",
      "$\\verb+alpha+ $ & $ -1.00$\\\\\n",
      "$\\verb+bkgfrac+ $ & $  0.45\\pm 0.03$\\\\\n",
      "$\\verb+mean+ $ & $  5$\\\\\n",
      "$\\verb+sig1frac+ $ & $  0.71\\pm 0.06$\\\\\n",
      "$\\verb+sigma1+ $ & $  0.5$\\\\\n",
      "$\\verb+sigma2+ $ & $  1$\\\\\n",
      "\\end{tabular}\n"
     ]
    }
   ],
   "source": [
    "params->printLatex();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cfda4cc",
   "metadata": {},
   "source": [
    "Print parameter list in LaTeX for (names values|names values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "959ec3f0",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:58.980836Z",
     "iopub.status.busy": "2026-05-19T20:31:58.980715Z",
     "iopub.status.idle": "2026-05-19T20:31:59.190096Z",
     "shell.execute_reply": "2026-05-19T20:31:59.189365Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\\begin{tabular}{lc|lc}\n",
      "$\\verb+a0+ $ & $  0.6\\pm 0.2$ & $\\verb+mean+ $ & $  5$\\\\\n",
      "$\\verb+a1+ $ & $  0.2\\pm 0.2$ & $\\verb+sig1frac+ $ & $  0.71\\pm 0.06$\\\\\n",
      "$\\verb+alpha+ $ & $ -1.00$ & $\\verb+sigma1+ $ & $  0.5$\\\\\n",
      "$\\verb+bkgfrac+ $ & $  0.45\\pm 0.03$ & $\\verb+sigma2+ $ & $  1$\\\\\n",
      "\\end{tabular}\n"
     ]
    }
   ],
   "source": [
    "params->printLatex(Columns(2));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9131226",
   "metadata": {},
   "source": [
    "Print two parameter lists side by side (name values initvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "898d8240",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:59.191462Z",
     "iopub.status.busy": "2026-05-19T20:31:59.191341Z",
     "iopub.status.idle": "2026-05-19T20:31:59.400697Z",
     "shell.execute_reply": "2026-05-19T20:31:59.399952Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\\begin{tabular}{lcc}\n",
      "$\\verb+a0+ $ & $  0.6\\pm 0.2$ & $ 0.5$\\\\\n",
      "$\\verb+a1+ $ & $  0.2\\pm 0.2$ & $ 0.2$\\\\\n",
      "$\\verb+alpha+ $ & $ -1.00$ & $-1.00$\\\\\n",
      "$\\verb+bkgfrac+ $ & $  0.45\\pm 0.03$ & $ 0.5$\\\\\n",
      "$\\verb+mean+ $ & $  5$ & $ 5$\\\\\n",
      "$\\verb+sig1frac+ $ & $  0.71\\pm 0.06$ & $ 0.8$\\\\\n",
      "$\\verb+sigma1+ $ & $  0.5$ & $ 0.5$\\\\\n",
      "$\\verb+sigma2+ $ & $  1$ & $ 1$\\\\\n",
      "\\end{tabular}\n"
     ]
    }
   ],
   "source": [
    "params->printLatex(Sibling(*initParams));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e15a01c9",
   "metadata": {},
   "source": [
    "Print two parameter lists side by side (name values initvalues|name values initvalues)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "5348733f",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:59.402045Z",
     "iopub.status.busy": "2026-05-19T20:31:59.401926Z",
     "iopub.status.idle": "2026-05-19T20:31:59.610505Z",
     "shell.execute_reply": "2026-05-19T20:31:59.609818Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\\begin{tabular}{lcc|lcc}\n",
      "$\\verb+a0+ $ & $  0.6\\pm 0.2$ & $ 0.5$ & $\\verb+mean+ $ & $  5$ & $ 5$\\\\\n",
      "$\\verb+a1+ $ & $  0.2\\pm 0.2$ & $ 0.2$ & $\\verb+sig1frac+ $ & $  0.71\\pm 0.06$ & $ 0.8$\\\\\n",
      "$\\verb+alpha+ $ & $ -1.00$ & $-1.00$ & $\\verb+sigma1+ $ & $  0.5$ & $ 0.5$\\\\\n",
      "$\\verb+bkgfrac+ $ & $  0.45\\pm 0.03$ & $ 0.5$ & $\\verb+sigma2+ $ & $  1$ & $ 1$\\\\\n",
      "\\end{tabular}\n"
     ]
    }
   ],
   "source": [
    "params->printLatex(Sibling(*initParams), Columns(2));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1bff5e99",
   "metadata": {},
   "source": [
    "Write LaTex table to file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "680698d0",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:31:59.611902Z",
     "iopub.status.busy": "2026-05-19T20:31:59.611763Z",
     "iopub.status.idle": "2026-05-19T20:31:59.817473Z",
     "shell.execute_reply": "2026-05-19T20:31:59.816843Z"
    }
   },
   "outputs": [],
   "source": [
    "params->printLatex(Sibling(*initParams), OutputFile(\"rf407_latextables.tex\"));"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ROOT C++",
   "language": "c++",
   "name": "root"
  },
  "language_info": {
   "codemirror_mode": "text/x-c++src",
   "file_extension": ".C",
   "mimetype": " text/x-c++src",
   "name": "c++"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}