{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction\n",
    "\n",
    "QA plots for the Micromegas detector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:40.643591Z",
     "iopub.status.busy": "2025-03-24T22:21:40.643191Z",
     "iopub.status.idle": "2025-03-24T22:21:40.648436Z",
     "shell.execute_reply": "2025-03-24T22:21:40.647723Z"
    }
   },
   "outputs": [],
   "source": [
    "# imports to write dynamic markdown contents\n",
    "import os\n",
    "from IPython.display import display, Markdown, Latex\n",
    "from IPython.display import HTML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:40.651873Z",
     "iopub.status.busy": "2025-03-24T22:21:40.651469Z",
     "iopub.status.idle": "2025-03-24T22:21:40.668355Z",
     "shell.execute_reply": "2025-03-24T22:21:40.667447Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "*For the result HTML page:* "
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<script>\n",
       "code_show=true; \n",
       "function code_toggle() {\n",
       " if (code_show){\n",
       " $('div.input').hide();\n",
       " $('div.jp-CodeMirrorEditor').hide(); // for newer versions of nbviewer.org\n",
       " } else {\n",
       " $('div.input').show();\n",
       " $('div.jp-CodeMirrorEditor').show(); // for newer versions of nbviewer.org\n",
       " }\n",
       " code_show = !code_show\n",
       "} \n",
       "$( document ).ready(code_toggle);\n",
       "</script>\n",
       "<form action=\"javascript:code_toggle()\"><input type=\"submit\" value=\"Click here to toggle on/off the raw code.\"></form>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# turn off/on code for the result HTML page\n",
    "\n",
    "display(Markdown('*For the result HTML page:* '))\n",
    "    \n",
    "HTML('''<script>\n",
    "code_show=true; \n",
    "function code_toggle() {\n",
    " if (code_show){\n",
    " $('div.input').hide();\n",
    " $('div.jp-CodeMirrorEditor').hide(); // for newer versions of nbviewer.org\n",
    " } else {\n",
    " $('div.input').show();\n",
    " $('div.jp-CodeMirrorEditor').show(); // for newer versions of nbviewer.org\n",
    " }\n",
    " code_show = !code_show\n",
    "} \n",
    "$( document ).ready(code_toggle);\n",
    "</script>\n",
    "<form action=\"javascript:code_toggle()\"><input type=\"submit\" value=\"Click here to toggle on/off the raw code.\"></form>''')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:40.713654Z",
     "iopub.status.busy": "2025-03-24T22:21:40.713094Z",
     "iopub.status.idle": "2025-03-24T22:21:40.720602Z",
     "shell.execute_reply": "2025-03-24T22:21:40.720037Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "[//]: # (This section starts with a 2nd level heading and get embedded in the result QA report at https://github.com/sPHENIX-Collaboration/QA-gallery/tree/QA-tracking-pythiajet)\n",
       "\n",
       "## Tracking QA with high pT Pythia events\n",
       "\n",
       "PYTHIA high $p_T$ tracking QA consists full tracker + reconstruction of events with the default Pythia configuration file. This cfg file has a single hard QCD ccbar event with minimum partonic $p_T$ of 10 GeV and truth jet triggering of $p_T>20$ GeV. \n",
       "\n",
       "Last a D0->piK filter is applied so the same sample canbe used in D0 reco validation. Please note the calorimeters are disabled to improve execution speed, which also removed some of the correlated albedo background for the tracker. \n",
       "\n",
       "In addition to the Pythia event, an Upsilon is embedded to probe an agregated tracking resolution. \n",
       "\n",
       "The source code of the macro can be found at https://github.com/sPHENIX-Collaboration/macros/tree/QA-tracking-pythiajet or [comparing it to the master branch](https://github.com/sPHENIX-Collaboration/macros/compare/QA-tracking-pythiajet?expand=1).\n"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import os.path\n",
    "\n",
    "# readme file of the macros, available if run under JenkinsCI\n",
    "# https://github.com/sPHENIX-Collaboration/utilities/blob/master/jenkins/built-test/test-tracking-qa.sh \n",
    "\n",
    "macro_markdown = 'Fun4All-macros-README.md'\n",
    "\n",
    "if os.path.isfile(macro_markdown) :\n",
    "    with open(macro_markdown, 'r') as file:\n",
    "        display(Markdown(file.read()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `pyROOT` env check"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:40.723520Z",
     "iopub.status.busy": "2025-03-24T22:21:40.723241Z",
     "iopub.status.idle": "2025-03-24T22:21:49.958553Z",
     "shell.execute_reply": "2025-03-24T22:21:49.956491Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "via sPHENIX software distribution at `/var/lib/jenkins/workspace/sPHENIX/Build-Master-gcc14/build/new/install.1`"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import ROOT\n",
    "\n",
    "OFFLINE_MAIN = os.getenv(\"OFFLINE_MAIN\")\n",
    "if OFFLINE_MAIN is not None:\n",
    "    display(Markdown(f\"via sPHENIX software distribution at `{OFFLINE_MAIN}`\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting source code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:49.964564Z",
     "iopub.status.busy": "2025-03-24T22:21:49.963997Z",
     "iopub.status.idle": "2025-03-24T22:21:50.094957Z",
     "shell.execute_reply": "2025-03-24T22:21:50.093639Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "View the source code repository at https://github.com/sPHENIX-Collaboration/QA-gallery.git"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import subprocess\n",
    "\n",
    "try:\n",
    "    git_url = \\\n",
    "        subprocess.run(['git','remote','get-url','origin'], stdout=subprocess.PIPE)\\\n",
    "        .stdout.decode('utf-8').strip()\\\n",
    "        .replace('git@github.com:','https://github.com/')\n",
    "\n",
    "    display(Markdown(f\"View the source code repository at {git_url}\"))\n",
    "except: # catch *all* exceptions\n",
    "    #     well do nothing\n",
    "    pass"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## JenkinsCI information (if available)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:50.098506Z",
     "iopub.status.busy": "2025-03-24T22:21:50.098080Z",
     "iopub.status.idle": "2025-03-24T22:21:50.222713Z",
     "shell.execute_reply": "2025-03-24T22:21:50.221604Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "Some further details about the QA run, if executed under the Jenkins CI:"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "* The commit being checked is sPHENIX-Collaboration/coresoftware/a31efaeddc6c0746d9d331f2948fb8ec821d73ac"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "* Link to the pull request: https://github.com/sPHENIX-Collaboration/coresoftware/pull/3493"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "* Link to the build: https://web.sdcc.bnl.gov/jenkins-sphenix/job/sPHENIX/job/test-tracking-pythiajet-qa/5340/"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "* Git repo for macros: https://github.com/sPHENIX-Collaboration/macros.git , which merges `master` and the QA tracking branch"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "* Download the QA ROOT files: https://web.sdcc.bnl.gov/jenkins-sphenix/job/sPHENIX/job/test-tracking-pythiajet-qa/5340/display/redirect?page=artifacts"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Automatically generated by [sPHENIX Jenkins continuous integration](https://web.sdcc.bnl.gov/jenkins-sphenix/) [![sPHENIX](https://raw.githubusercontent.com/sPHENIX-Collaboration/utilities/master/jenkins/material/sphenix-logo-white-bg-72p.png)](https://www.sphenix.bnl.gov/web/) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; [![jenkins.io](https://raw.githubusercontent.com/sPHENIX-Collaboration/utilities/master/jenkins/material/jenkins_logo_title-72p.png)](https://jenkins.io/)"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Markdown('Some further details about the QA run, if executed under the Jenkins CI:'))\n",
    "\n",
    "checkrun_repo_commit = os.getenv(\"checkrun_repo_commit\")\n",
    "if checkrun_repo_commit is not None:\n",
    "    display(Markdown(f\"* The commit being checked is {checkrun_repo_commit}\"))\n",
    "        \n",
    "ghprbPullLink = os.getenv(\"ghprbPullLink\")\n",
    "if ghprbPullLink is not None:\n",
    "    display(Markdown(f\"* Link to the pull request: {ghprbPullLink}\"))\n",
    "\n",
    "BUILD_URL =  os.getenv(\"BUILD_URL\")\n",
    "if BUILD_URL is not None:\n",
    "    display(Markdown(f\"* Link to the build: {BUILD_URL}\"))\n",
    "\n",
    "git_url_macros =  os.getenv(\"git_url_macros\")\n",
    "sha_macros =  os.getenv(\"sha_macros\")\n",
    "if git_url_macros is not None:\n",
    "    display(Markdown(f\"* Git repo for macros: {git_url_macros} , which merges `{sha_macros}` and the QA tracking branch\"))\n",
    "\n",
    "RUN_ARTIFACTS_DISPLAY_URL = os.getenv(\"RUN_ARTIFACTS_DISPLAY_URL\")\n",
    "if RUN_ARTIFACTS_DISPLAY_URL is not None:\n",
    "    display(Markdown(f\"* Download the QA ROOT files: {RUN_ARTIFACTS_DISPLAY_URL}\"))\n",
    "\n",
    "JENKINS_URL  = os.getenv(\"JENKINS_URL\")\n",
    "if JENKINS_URL is not None:\n",
    "    display(Markdown(f\"Automatically generated by [sPHENIX Jenkins continuous integration]({JENKINS_URL}) [![sPHENIX](https://raw.githubusercontent.com/sPHENIX-Collaboration/utilities/master/jenkins/material/sphenix-logo-white-bg-72p.png)](https://www.sphenix.bnl.gov/web/) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; [![jenkins.io](https://raw.githubusercontent.com/sPHENIX-Collaboration/utilities/master/jenkins/material/jenkins_logo_title-72p.png)](https://jenkins.io/)\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# Initialization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:50.225872Z",
     "iopub.status.busy": "2025-03-24T22:21:50.225339Z",
     "iopub.status.idle": "2025-03-24T22:21:50.853669Z",
     "shell.execute_reply": "2025-03-24T22:21:50.852227Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "%%cpp -d\n",
    "\n",
    "#include \"QA_Draw_Utility.C\"\n",
    "\n",
    "#include <sPhenixStyle.C>\n",
    "\n",
    "#include <TFile.h>\n",
    "#include <TLine.h>\n",
    "#include <TString.h>\n",
    "#include <TTree.h>\n",
    "#include <cassert>\n",
    "#include <cmath>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:50.856946Z",
     "iopub.status.busy": "2025-03-24T22:21:50.856541Z",
     "iopub.status.idle": "2025-03-24T22:21:51.828500Z",
     "shell.execute_reply": "2025-03-24T22:21:51.827533Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sPhenixStyle: Applying nominal settings.\n",
      "sPhenixStyle: ROOT6 mode\n"
     ]
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "SetsPhenixStyle();\n",
    "TVirtualFitter::SetDefaultFitter(\"Minuit2\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:51.832451Z",
     "iopub.status.busy": "2025-03-24T22:21:51.831961Z",
     "iopub.status.idle": "2025-03-24T22:21:51.937303Z",
     "shell.execute_reply": "2025-03-24T22:21:51.936576Z"
    }
   },
   "outputs": [],
   "source": [
    "# %jsroot on"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inputs and file checks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:51.941218Z",
     "iopub.status.busy": "2025-03-24T22:21:51.940885Z",
     "iopub.status.idle": "2025-03-24T22:21:52.047999Z",
     "shell.execute_reply": "2025-03-24T22:21:52.046893Z"
    }
   },
   "outputs": [],
   "source": [
    "\n",
    "qa_file_name_new = os.getenv(\"qa_file_name_new\")\n",
    "if qa_file_name_new is None:\n",
    "    qa_file_name_new = \"G4sPHENIX_test-tracking-low-occupancy-qa_Event100_Sum10_qa.root\"\n",
    "    display(Markdown(f\"`qa_file_name_new` env not set. use the default `qa_file_name_new={qa_file_name_new}`\"))\n",
    "\n",
    "qa_file_name_ref = os.getenv(\"qa_file_name_ref\")\n",
    "if qa_file_name_ref is None:\n",
    "    qa_file_name_ref = \"reference/G4sPHENIX_test-tracking-low-occupancy-qa_Event100_Sum10_qa.root\"\n",
    "    display(Markdown(f\"`qa_file_name_ref` env not set. use the default `qa_file_name_ref={qa_file_name_ref}`\"))\n",
    "elif qa_file_name_ref == 'None':\n",
    "    qa_file_name_ref = None\n",
    "    display(Markdown(f\"`qa_file_name_ref` = None and we are set to not to use the reference histograms\"))\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:52.051765Z",
     "iopub.status.busy": "2025-03-24T22:21:52.051430Z",
     "iopub.status.idle": "2025-03-24T22:21:52.225007Z",
     "shell.execute_reply": "2025-03-24T22:21:52.223885Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "Openning QA file at `G4sPHENIX_test-tracking_Event550_Sum10_qa.root`"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Openning QA reference file at `reference/G4sPHENIX_test-tracking_Event550_Sum10_qa.root`"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# qa_file_new = ROOT.TFile.Open(qa_file_name_new);\n",
    "\n",
    "# assert qa_file_new.IsOpen()\n",
    "# qa_file_new.ls()\n",
    "display(Markdown(f\"Openning QA file at `{qa_file_name_new}`\"))\n",
    "ROOT.gInterpreter.ProcessLine(f\"TFile *qa_file_new = new TFile(\\\"{qa_file_name_new}\\\");\")\n",
    "ROOT.gInterpreter.ProcessLine(f\"const char * qa_file_name_new = \\\"{qa_file_name_new}\\\";\")\n",
    "\n",
    "if qa_file_name_ref is not None:\n",
    "#     qa_file_ref = ROOT.TFile.Open(qa_file_name_ref);\n",
    "\n",
    "#     assert qa_file_ref.IsOpen()\n",
    "    display(Markdown(f\"Openning QA reference file at `{qa_file_name_ref}`\"))\n",
    "    ROOT.gInterpreter.ProcessLine(f\"TFile *qa_file_ref = new TFile(\\\"{qa_file_name_ref}\\\");\")\n",
    "    ROOT.gInterpreter.ProcessLine(f\"const char *  qa_file_name_ref = \\\"{qa_file_name_ref}\\\";\")\n",
    "else:\n",
    "    ROOT.gInterpreter.ProcessLine(f\"TFile *qa_file_ref = nullptr;\")\n",
    "    ROOT.gInterpreter.ProcessLine(f\"const char *  qa_file_name_ref = nullptr;\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:52.229215Z",
     "iopub.status.busy": "2025-03-24T22:21:52.228863Z",
     "iopub.status.idle": "2025-03-24T22:21:52.347912Z",
     "shell.execute_reply": "2025-03-24T22:21:52.346653Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "%%cpp\n",
    "\n",
    "if (qa_file_new == nullptr) \n",
    "{\n",
    "    cout <<\"Error, can not open QA root file\"<<qa_file_name_new<<endl;\n",
    "    exit(1);\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Utilities (invisible to HTML output)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:52.352031Z",
     "iopub.status.busy": "2025-03-24T22:21:52.351674Z",
     "iopub.status.idle": "2025-03-24T22:21:52.471698Z",
     "shell.execute_reply": "2025-03-24T22:21:52.470471Z"
    }
   },
   "outputs": [],
   "source": [
    "%%cpp\n",
    "//constants\n",
    "\n",
    "const char *hist_name_prefix = \"QAG4SimulationMicromegas\";\n",
    "\n",
    "// assume Micromegas layers are 55 and 56\n",
    "static constexpr int first_layer_micromegas = 55;\n",
    "static constexpr int nlayers_micromegas = 2;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:52.474585Z",
     "iopub.status.busy": "2025-03-24T22:21:52.474204Z",
     "iopub.status.idle": "2025-03-24T22:21:52.604634Z",
     "shell.execute_reply": "2025-03-24T22:21:52.603545Z"
    }
   },
   "outputs": [],
   "source": [
    "%%cpp -d\n",
    "// utility functions for batch plotting\n",
    "\n",
    "\n",
    "TCanvas* Draw( TFile* qa_file_new, TFile* qa_file_ref, const TString& hist_name_prefix, const TString& tag )\n",
    "{\n",
    "\n",
    "    const TString prefix = TString(\"h_\") + hist_name_prefix + TString(\"_\");\n",
    "\n",
    "    auto cv = new TCanvas(\n",
    "      TString(\"QA_Draw_Micromegas_\") + tag + TString(\"_\") + hist_name_prefix,\n",
    "      TString(\"QA_Draw_Micromegas_\") + tag + TString(\"_\") + hist_name_prefix,\n",
    "      950, 600);\n",
    "\n",
    "    cv->Divide( nlayers_micromegas, 1 );\n",
    "    for( int ilayer = 0; ilayer < nlayers_micromegas; ++ilayer )\n",
    "    {\n",
    "\n",
    "      const int layer = ilayer + first_layer_micromegas;\n",
    "\n",
    "      // get histograms\n",
    "      auto hnew = static_cast<TH1*>( qa_file_new->GetObjectChecked( Form( \"%s%s_%i\", prefix.Data(), tag.Data(), layer ), \"TH1\" ) );\n",
    "      hnew->Scale( 1./hnew->GetEntries() );\n",
    "      hnew->SetMinimum(0);\n",
    "\n",
    "      // reference\n",
    "      auto href = qa_file_ref ? static_cast<TH1*>( qa_file_ref->GetObjectChecked( Form( \"%s%s_%i\", prefix.Data(), tag.Data(), layer ), \"TH1\" ) ) : nullptr;\n",
    "      if( href )\n",
    "      {\n",
    "        href->Scale( 1./href->GetEntries() );\n",
    "        href->SetMinimum(0);\n",
    "      }\n",
    "\n",
    "      // draw\n",
    "      cv->cd( ilayer+1 );\n",
    "      DrawReference(hnew, href);\n",
    "\n",
    "      auto line = VerticalLine( gPad, 0 );\n",
    "      line->Draw();\n",
    "    }\n",
    "\n",
    "    return cv;\n",
    "\n",
    "}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ADC distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:52.611654Z",
     "iopub.status.busy": "2025-03-24T22:21:52.610797Z",
     "iopub.status.idle": "2025-03-24T22:21:53.848795Z",
     "shell.execute_reply": "2025-03-24T22:21:53.847331Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "Draw( qa_file_new, qa_file_ref, hist_name_prefix, \"adc\" )-> Draw();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# residuals, errors and pulls"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Residuals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:53.852062Z",
     "iopub.status.busy": "2025-03-24T22:21:53.851547Z",
     "iopub.status.idle": "2025-03-24T22:21:54.122755Z",
     "shell.execute_reply": "2025-03-24T22:21:54.121556Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "Draw( qa_file_new, qa_file_ref, hist_name_prefix, \"residual\" )-> Draw();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Errors "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:54.126893Z",
     "iopub.status.busy": "2025-03-24T22:21:54.126539Z",
     "iopub.status.idle": "2025-03-24T22:21:54.346121Z",
     "shell.execute_reply": "2025-03-24T22:21:54.344919Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "Draw( qa_file_new, qa_file_ref, hist_name_prefix, \"residual_error\" )-> Draw();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pulls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:54.349351Z",
     "iopub.status.busy": "2025-03-24T22:21:54.348997Z",
     "iopub.status.idle": "2025-03-24T22:21:54.622161Z",
     "shell.execute_reply": "2025-03-24T22:21:54.620892Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "Draw( qa_file_new, qa_file_ref, hist_name_prefix, \"cluster_pulls\" )-> Draw();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cluster sizes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:54.626439Z",
     "iopub.status.busy": "2025-03-24T22:21:54.625981Z",
     "iopub.status.idle": "2025-03-24T22:21:54.808796Z",
     "shell.execute_reply": "2025-03-24T22:21:54.807467Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "Draw( qa_file_new, qa_file_ref, hist_name_prefix, \"clus_size\" )-> Draw();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:54.812983Z",
     "iopub.status.busy": "2025-03-24T22:21:54.812640Z",
     "iopub.status.idle": "2025-03-24T22:21:54.971326Z",
     "shell.execute_reply": "2025-03-24T22:21:54.970065Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook contains 10 KSTets: combined Chi2/nDoF = -0 / 20, and combined __p-Value = 1__\n"
     ]
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "KSTestSummary::getInstance()->make_summary_txt(\"QA-Micromegas.txt\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-24T22:21:54.975165Z",
     "iopub.status.busy": "2025-03-24T22:21:54.974814Z",
     "iopub.status.idle": "2025-03-24T22:21:55.135382Z",
     "shell.execute_reply": "2025-03-24T22:21:55.134027Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%cpp\n",
    "\n",
    "KSTestSummary::getInstance()->make_summary_TCanvas() -> Draw();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python (sPHENIX)",
   "language": "python",
   "name": "sphenix-env"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}