{ "cells": [ { "cell_type": "markdown", "id": "79284aa1", "metadata": {}, "source": [ "# rf210_angularconv\n", "Convolution in cyclical angular observables theta, and\n", "construction of p.d.f in terms of transformed angular\n", "coordinates, e.g. cos(theta), the convolution\n", "is performed in theta rather than cos(theta)\n", "\n", "(require ROOT to be compiled with --enable-fftw3)\n", "\n", "pdf(theta) = ROOT.T(theta) (x) gauss(theta)\n", "pdf(cosTheta) = ROOT.T(acos(cosTheta)) (x) gauss(acos(cosTheta))\n", "\n", "\n", "\n", "\n", "**Author:** Clemens Lange, Wouter Verkerke (C version) \n", "This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Tuesday, May 19, 2026 at 08:30 PM." ] }, { "cell_type": "code", "execution_count": 1, "id": "59e0b0ec", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:16.487826Z", "iopub.status.busy": "2026-05-19T20:30:16.487705Z", "iopub.status.idle": "2026-05-19T20:30:17.440677Z", "shell.execute_reply": "2026-05-19T20:30:17.439991Z" } }, "outputs": [], "source": [ "import ROOT" ] }, { "cell_type": "markdown", "id": "f1598b2c", "metadata": {}, "source": [ "Set up component pdfs\n", "---------------------------------------" ] }, { "cell_type": "markdown", "id": "6a7557ab", "metadata": {}, "source": [ "Define angle psi" ] }, { "cell_type": "code", "execution_count": 2, "id": "a217d8b2", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:17.443363Z", "iopub.status.busy": "2026-05-19T20:30:17.443232Z", "iopub.status.idle": "2026-05-19T20:30:17.600347Z", "shell.execute_reply": "2026-05-19T20:30:17.599744Z" } }, "outputs": [], "source": [ "psi = ROOT.RooRealVar(\"psi\", \"psi\", 0, 3.14159268)" ] }, { "cell_type": "markdown", "id": "c4938588", "metadata": {}, "source": [ "Define physics p.d.f T(psi)" ] }, { "cell_type": "code", "execution_count": 3, "id": "e9b46508", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:17.602569Z", "iopub.status.busy": "2026-05-19T20:30:17.602442Z", "iopub.status.idle": "2026-05-19T20:30:17.787389Z", "shell.execute_reply": "2026-05-19T20:30:17.786803Z" } }, "outputs": [], "source": [ "Tpsi = ROOT.RooGenericPdf(\"Tpsi\", \"1+sin(2*@0)\", [psi])" ] }, { "cell_type": "markdown", "id": "722053cc", "metadata": {}, "source": [ "Define resolution R(psi)" ] }, { "cell_type": "code", "execution_count": 4, "id": "53ecc56a", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:17.789553Z", "iopub.status.busy": "2026-05-19T20:30:17.789427Z", "iopub.status.idle": "2026-05-19T20:30:17.911252Z", "shell.execute_reply": "2026-05-19T20:30:17.910719Z" } }, "outputs": [], "source": [ "gbias = ROOT.RooRealVar(\"gbias\", \"gbias\", 0.2, 0.0, 1)\n", "greso = ROOT.RooRealVar(\"greso\", \"greso\", 0.3, 0.1, 1.0)\n", "Rpsi = ROOT.RooGaussian(\"Rpsi\", \"Rpsi\", psi, gbias, greso)" ] }, { "cell_type": "markdown", "id": "e3d29e68", "metadata": {}, "source": [ "Define cos(psi) and function psif that calculates psi from cos(psi)" ] }, { "cell_type": "code", "execution_count": 5, "id": "ed032d5d", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:17.912981Z", "iopub.status.busy": "2026-05-19T20:30:17.912856Z", "iopub.status.idle": "2026-05-19T20:30:18.030178Z", "shell.execute_reply": "2026-05-19T20:30:18.029648Z" } }, "outputs": [], "source": [ "cpsi = ROOT.RooRealVar(\"cpsi\", \"cos(psi)\", -1, 1)\n", "psif = ROOT.RooFormulaVar(\"psif\", \"acos(cpsi)\", [cpsi])" ] }, { "cell_type": "markdown", "id": "01e039b8", "metadata": {}, "source": [ "Define physics p.d.f. also as function of cos(psi): T(psif(cpsi)) = T(cpsi)" ] }, { "cell_type": "code", "execution_count": 6, "id": "12f0c74e", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:18.032260Z", "iopub.status.busy": "2026-05-19T20:30:18.032134Z", "iopub.status.idle": "2026-05-19T20:30:18.171440Z", "shell.execute_reply": "2026-05-19T20:30:18.170738Z" } }, "outputs": [], "source": [ "Tcpsi = ROOT.RooGenericPdf(\"T\", \"1+sin(2*@0)\", [psif])" ] }, { "cell_type": "markdown", "id": "e3f7973f", "metadata": {}, "source": [ "Construct convolution pdf in psi\n", "--------------------------------------------------------------" ] }, { "cell_type": "markdown", "id": "31b5a852", "metadata": {}, "source": [ "Define convoluted p.d.f. as function of psi: M=[T(x)R](psi) = M(psi)" ] }, { "cell_type": "code", "execution_count": 7, "id": "f8437703", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:18.173036Z", "iopub.status.busy": "2026-05-19T20:30:18.172905Z", "iopub.status.idle": "2026-05-19T20:30:18.291181Z", "shell.execute_reply": "2026-05-19T20:30:18.290641Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:Caching -- Changing internal binning of variable 'psi' in FFT 'Mf' from 100 to 930 to improve the precision of the numerical FFT. This can be done manually by setting an additional binning named 'cache'.\n" ] } ], "source": [ "Mpsi = ROOT.RooFFTConvPdf(\"Mf\", \"Mf\", psi, Tpsi, Rpsi)" ] }, { "cell_type": "markdown", "id": "b2259130", "metadata": {}, "source": [ "Set the buffer fraction to zero to obtain a ROOT.True cyclical\n", "convolution" ] }, { "cell_type": "code", "execution_count": 8, "id": "5acfb4b7", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:18.292565Z", "iopub.status.busy": "2026-05-19T20:30:18.292435Z", "iopub.status.idle": "2026-05-19T20:30:18.400033Z", "shell.execute_reply": "2026-05-19T20:30:18.399492Z" } }, "outputs": [], "source": [ "Mpsi.setBufferFraction(0)" ] }, { "cell_type": "markdown", "id": "68fec3cb", "metadata": {}, "source": [ "Sample, fit and plot convoluted pdf (psi)\n", "--------------------------------------------------------------------------------" ] }, { "cell_type": "markdown", "id": "f171604e", "metadata": {}, "source": [ "Generate some events in observable psi" ] }, { "cell_type": "code", "execution_count": 9, "id": "91d9b318", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:18.401853Z", "iopub.status.busy": "2026-05-19T20:30:18.401725Z", "iopub.status.idle": "2026-05-19T20:30:18.574413Z", "shell.execute_reply": "2026-05-19T20:30:18.573877Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:Eval -- RooRealVar::setRange(psi) new range named 'refrange_fft_Mf' created with bounds [0,3.14159]\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0f28dac0 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[psi]_NORM_psi for nset (psi) with code 0\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0f3f9b40 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[psi]_NORM_psi for nset (psi) with code 0\n" ] } ], "source": [ "data_psi = Mpsi.generate({psi}, 10000)" ] }, { "cell_type": "markdown", "id": "0a02af31", "metadata": {}, "source": [ "Fit convoluted model as function of angle psi" ] }, { "cell_type": "code", "execution_count": 10, "id": "25e4e8c7", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:18.576070Z", "iopub.status.busy": "2026-05-19T20:30:18.575940Z", "iopub.status.idle": "2026-05-19T20:30:18.777942Z", "shell.execute_reply": "2026-05-19T20:30:18.777343Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f07d16e50 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[psi]_NORM_psi for nset (psi) with code 0\n", "[#1] INFO:Fitting -- RooAbsPdf::fitTo(Mf_over_Mf_Int[psi]) 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 1.41934 ms\n", "[#1] INFO:Fitting -- RooAddition::defaultErrorLevel(nll_Mf_over_Mf_Int[psi]_MfData) Summation contains a RooNLLVar, using its error level\n", "[#1] INFO:Minimization -- [fitFCN] No discrete parameters, performing continuous minimization only\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Mpsi.fitTo(data_psi, PrintLevel=-1)" ] }, { "cell_type": "markdown", "id": "5b1dcd1e", "metadata": {}, "source": [ "Plot cos(psi) frame with Mf(cpsi)" ] }, { "cell_type": "code", "execution_count": 11, "id": "5eb1cbaf", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:18.779523Z", "iopub.status.busy": "2026-05-19T20:30:18.779390Z", "iopub.status.idle": "2026-05-19T20:30:18.956975Z", "shell.execute_reply": "2026-05-19T20:30:18.956463Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0f9c9d40 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[psi]_NORM_psi for nset (psi) with code 0\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "frame1 = psi.frame(Title=\"Cyclical convolution in angle psi\")\n", "data_psi.plotOn(frame1)\n", "Mpsi.plotOn(frame1)" ] }, { "cell_type": "markdown", "id": "2cc11ebe", "metadata": {}, "source": [ "Overlay comparison to unsmeared physics p.d.f ROOT.T(psi)" ] }, { "cell_type": "code", "execution_count": 12, "id": "bbd52f5c", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:18.959001Z", "iopub.status.busy": "2026-05-19T20:30:18.958871Z", "iopub.status.idle": "2026-05-19T20:30:19.072886Z", "shell.execute_reply": "2026-05-19T20:30:19.072323Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Tpsi.plotOn(frame1, LineColor=\"r\")" ] }, { "cell_type": "markdown", "id": "815ee9a2", "metadata": {}, "source": [ "Construct convolution pdf in cos(psi)\n", "--------------------------------------------------------------------------" ] }, { "cell_type": "markdown", "id": "e61c061a", "metadata": {}, "source": [ "Define convoluted p.d.f. as function of cos(psi): M=[T(x)R](psif cpsi)) = M(cpsi:\n", "\n", "Need to give both observable psi here (for definition of convolution)\n", "and function psif here (for definition of observables, in cpsi)" ] }, { "cell_type": "code", "execution_count": 13, "id": "a1db4ce3", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.074524Z", "iopub.status.busy": "2026-05-19T20:30:19.074393Z", "iopub.status.idle": "2026-05-19T20:30:19.185117Z", "shell.execute_reply": "2026-05-19T20:30:19.184569Z" } }, "outputs": [], "source": [ "Mcpsi = ROOT.RooFFTConvPdf(\"Mf\", \"Mf\", psif, psi, Tpsi, Rpsi)" ] }, { "cell_type": "markdown", "id": "66d005e3", "metadata": {}, "source": [ "Set the buffer fraction to zero to obtain a ROOT.True cyclical\n", "convolution" ] }, { "cell_type": "code", "execution_count": 14, "id": "c608acc6", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.186771Z", "iopub.status.busy": "2026-05-19T20:30:19.186634Z", "iopub.status.idle": "2026-05-19T20:30:19.289843Z", "shell.execute_reply": "2026-05-19T20:30:19.289323Z" } }, "outputs": [], "source": [ "Mcpsi.setBufferFraction(0)" ] }, { "cell_type": "markdown", "id": "2211463b", "metadata": {}, "source": [ "Sample, fit and plot convoluted pdf (cospsi)\n", "--------------------------------------------------------------------------------" ] }, { "cell_type": "markdown", "id": "8a63a187", "metadata": {}, "source": [ "Generate some events" ] }, { "cell_type": "code", "execution_count": 15, "id": "a01858fc", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.291899Z", "iopub.status.busy": "2026-05-19T20:30:19.291771Z", "iopub.status.idle": "2026-05-19T20:30:19.419307Z", "shell.execute_reply": "2026-05-19T20:30:19.418878Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0f98f0c0 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[cpsi]_NORM_cpsi for nset (cpsi) with code 0\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_CONV_Rpsi_CACHE_Obs[cpsi]_NORM_cpsi_Int[cpsi]) using numeric integrator RooIntegrator1D to calculate Int(cpsi)\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0fb6e740 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[cpsi]_NORM_cpsi for nset (cpsi) with code 0\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_CONV_Rpsi_CACHE_Obs[cpsi]_NORM_cpsi_Int[cpsi]) using numeric integrator RooIntegrator1D to calculate Int(cpsi)\n" ] } ], "source": [ "data_cpsi = Mcpsi.generate({cpsi}, 10000)" ] }, { "cell_type": "markdown", "id": "b79096e2", "metadata": {}, "source": [ "set psi constant to exclude to be a parameter of the fit" ] }, { "cell_type": "code", "execution_count": 16, "id": "23a16d32", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.432502Z", "iopub.status.busy": "2026-05-19T20:30:19.432362Z", "iopub.status.idle": "2026-05-19T20:30:19.542073Z", "shell.execute_reply": "2026-05-19T20:30:19.541488Z" } }, "outputs": [], "source": [ "psi.setConstant(True)" ] }, { "cell_type": "markdown", "id": "627912ee", "metadata": {}, "source": [ "Fit convoluted model as function of cos(psi)" ] }, { "cell_type": "code", "execution_count": 17, "id": "e9c27ba2", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.543964Z", "iopub.status.busy": "2026-05-19T20:30:19.543833Z", "iopub.status.idle": "2026-05-19T20:30:19.668043Z", "shell.execute_reply": "2026-05-19T20:30:19.667531Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0f8aba40 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[cpsi]_NORM_cpsi for nset (cpsi) with code 0\n", "[#1] INFO:Fitting -- RooAbsPdf::fitTo(Mf_over_Mf_Int[cpsi]) fixing normalization set for coefficient determination to observables in data\n", "[#1] INFO:Fitting -- Creation of NLL object took 856.624 μs\n", "[#1] INFO:Fitting -- RooAddition::defaultErrorLevel(nll_Mf_over_Mf_Int[cpsi]_MfData) Summation contains a RooNLLVar, using its error level\n", "[#1] INFO:Minimization -- [fitFCN] No discrete parameters, performing continuous minimization only\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Mf_Int[cpsi]) using numeric integrator RooIntegrator1D to calculate Int(cpsi)\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0f9b05e0 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[cpsi] for nset () with code 1\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Mcpsi.fitTo(data_cpsi, PrintLevel=-1)" ] }, { "cell_type": "markdown", "id": "92e2cf6c", "metadata": {}, "source": [ "Plot cos(psi) frame with Mf(cpsi)" ] }, { "cell_type": "code", "execution_count": 18, "id": "4f339dc0", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.669999Z", "iopub.status.busy": "2026-05-19T20:30:19.669870Z", "iopub.status.idle": "2026-05-19T20:30:19.778379Z", "shell.execute_reply": "2026-05-19T20:30:19.777557Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_Int[psi]) using numeric integrator RooIntegrator1D to calculate Int(psi)\n", "[#1] INFO:Caching -- RooAbsCachedPdf::getCache(Mf) creating new cache 0x556f0f8aba40 with pdf Tpsi_CONV_Rpsi_CACHE_Obs[cpsi]_NORM_cpsi for nset (cpsi) with code 0\n", "[#1] INFO:NumericIntegration -- RooRealIntegral::init(Tpsi_CONV_Rpsi_CACHE_Obs[cpsi]_NORM_cpsi_Int[cpsi]) using numeric integrator RooIntegrator1D to calculate Int(cpsi)\n" ] } ], "source": [ "frame2 = cpsi.frame(Title=\"Same convolution in psi, in cos(psi)\")\n", "data_cpsi.plotOn(frame2)\n", "Mcpsi.plotOn(frame2)" ] }, { "cell_type": "markdown", "id": "e1c2343d", "metadata": {}, "source": [ "Overlay comparison to unsmeared physics p.d.f ROOT.Tf(cpsi)" ] }, { "cell_type": "code", "execution_count": 19, "id": "b8a6ed21", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.779882Z", "iopub.status.busy": "2026-05-19T20:30:19.779750Z", "iopub.status.idle": "2026-05-19T20:30:19.885832Z", "shell.execute_reply": "2026-05-19T20:30:19.884825Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[#1] INFO:NumericIntegration -- RooRealIntegral::init(T_Int[cpsi]) using numeric integrator RooIntegrator1D to calculate Int(cpsi)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Tcpsi.plotOn(frame2, LineColor=\"r\")" ] }, { "cell_type": "markdown", "id": "dabc841e", "metadata": {}, "source": [ "Draw frame on canvas" ] }, { "cell_type": "code", "execution_count": 20, "id": "24bc4444", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:19.887438Z", "iopub.status.busy": "2026-05-19T20:30:19.887308Z", "iopub.status.idle": "2026-05-19T20:30:20.118789Z", "shell.execute_reply": "2026-05-19T20:30:20.118200Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Info in : png file rf210_angularconv.png has been created\n" ] } ], "source": [ "c = ROOT.TCanvas(\"rf210_angularconv\", \"rf210_angularconv\", 800, 400)\n", "c.Divide(2)\n", "c.cd(1)\n", "ROOT.gPad.SetLeftMargin(0.15)\n", "frame1.GetYaxis().SetTitleOffset(1.4)\n", "frame1.Draw()\n", "c.cd(2)\n", "ROOT.gPad.SetLeftMargin(0.15)\n", "frame2.GetYaxis().SetTitleOffset(1.4)\n", "frame2.Draw()\n", "\n", "c.SaveAs(\"rf210_angularconv.png\")" ] }, { "cell_type": "markdown", "id": "25d2984b", "metadata": {}, "source": [ "Draw all canvases " ] }, { "cell_type": "code", "execution_count": 21, "id": "3e206d05", "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-05-19T20:30:20.120780Z", "iopub.status.busy": "2026-05-19T20:30:20.120650Z", "iopub.status.idle": "2026-05-19T20:30:20.304877Z", "shell.execute_reply": "2026-05-19T20:30:20.304079Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "
\n", "
\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "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 }