{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fillrandom\n",
    "FillRandom example\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "**Author:** Wim Lavrijsen  \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 Sunday, January 23, 2022 at 09:31 AM.</small></i>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from ROOT import TCanvas, TPad, TFormula, TF1, TPaveLabel, TH1F, TFile\n",
    "from ROOT import gROOT, gBenchmark\n",
    "\n",
    "\n",
    "\n",
    "c1 = TCanvas( 'c1', 'The FillRandom example', 200, 10, 700, 900 )\n",
    "c1.SetFillColor( 18 )\n",
    "\n",
    "pad1 = TPad( 'pad1', 'The pad with the function',  0.05, 0.50, 0.95, 0.95, 21 )\n",
    "pad2 = TPad( 'pad2', 'The pad with the histogram', 0.05, 0.05, 0.95, 0.45, 21 )\n",
    "pad1.Draw()\n",
    "pad2.Draw()\n",
    "pad1.cd()\n",
    "\n",
    "gBenchmark.Start( 'fillrandom' )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A function (any dimension) or a formula may reference\n",
    "an already defined formula"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "form1 = TFormula( 'form1', 'abs(sin(x)/x)' )\n",
    "sqroot = TF1( 'sqroot', 'x*gaus(0) + [3]*form1', 0, 10 )\n",
    "sqroot.SetParameters( 10, 4, 1, 20 )\n",
    "pad1.SetGridx()\n",
    "pad1.SetGridy()\n",
    "pad1.GetFrame().SetFillColor( 42 )\n",
    "pad1.GetFrame().SetBorderMode( -1 )\n",
    "pad1.GetFrame().SetBorderSize( 5 )\n",
    "sqroot.SetLineColor( 4 )\n",
    "sqroot.SetLineWidth( 6 )\n",
    "sqroot.Draw()\n",
    "lfunction = TPaveLabel( 5, 39, 9.8, 46, 'The sqroot function' )\n",
    "lfunction.SetFillColor( 41 )\n",
    "lfunction.Draw()\n",
    "c1.Update()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create a one dimensional histogram (one float per bin)\n",
    "and fill it following the distribution in function sqroot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pad2.cd();\n",
    "pad2.GetFrame().SetFillColor( 42 )\n",
    "pad2.GetFrame().SetBorderMode( -1 )\n",
    "pad2.GetFrame().SetBorderSize( 5 )\n",
    "h1f = TH1F( 'h1f', 'Test random numbers', 200, 0, 10 )\n",
    "h1f.SetFillColor( 45 )\n",
    "h1f.FillRandom( 'sqroot', 10000 )\n",
    "h1f.Draw()\n",
    "c1.Update()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Open a ROOT file and save the formula, function and histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "myfile = TFile( 'py-fillrandom.root', 'RECREATE' )\n",
    "form1.Write()\n",
    "sqroot.Write()\n",
    "h1f.Write()\n",
    "myfile.Close()\n",
    "gBenchmark.Show( 'fillrandom' )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Draw all canvases "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from ROOT import gROOT \n",
    "gROOT.GetListOfCanvases().Draw()"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
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   "file_extension": ".py",
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