{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "561d31f3",
   "metadata": {},
   "source": [
    "# hist010_TH1_two_scales_uhi\n",
    "Example of macro illustrating how to superimpose two histograms\n",
    "with different scales in the \"same\" pad.\n",
    "Inspired by work of Rene Brun.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "**Author:** Alberto Ferro, Nursena Bitirgen  \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 08:12 PM.</small></i>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f676906f",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:12:05.433910Z",
     "iopub.status.busy": "2026-05-19T20:12:05.433798Z",
     "iopub.status.idle": "2026-05-19T20:12:07.758009Z",
     "shell.execute_reply": "2026-05-19T20:12:07.757259Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import mplhep as hep\n",
    "import numpy as np\n",
    "import ROOT\n",
    "\n",
    "np.random.seed(0)\n",
    "plt.style.use(hep.style.ROOT)\n",
    "fig, ax1 = plt.subplots(figsize=(10, 6))\n",
    "\n",
    "h1 = ROOT.TH1F(\"h1\", \"my histogram\", 100, -3, 3)\n",
    "\n",
    "h1[...] = np.histogram(np.random.normal(0, 1, 10000), range=(-3, 3), bins=100)[0]\n",
    "\n",
    "hep.histplot(h1, ax=ax1, histtype=\"fill\", color=\"white\", edgecolor=\"blue\", linewidth=1.5, alpha=0.5)\n",
    "\n",
    "hint1 = ROOT.TH1F(\"hint1\", \"h1 bins integral\", 100, -3, 3)\n",
    "\n",
    "hint1[...] = np.cumsum(h1.values())\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "hep.histplot(hint1, ax=ax2, histtype=\"errorbar\", color=\"red\", marker=\"+\", markersize=3)\n",
    "\n",
    "ax1.set_xlim(-3, 3)\n",
    "plt.title(\"Histogram with Cumulative Sum\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3556d075",
   "metadata": {},
   "source": [
    "Draw all canvases "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a9bc1500",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-05-19T20:12:07.770533Z",
     "iopub.status.busy": "2026-05-19T20:12:07.770297Z",
     "iopub.status.idle": "2026-05-19T20:12:07.877735Z",
     "shell.execute_reply": "2026-05-19T20:12:07.877009Z"
    }
   },
   "outputs": [],
   "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
}
