{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Systematic uncertainties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "from freeforestml import Variable, Process, Cut, hist, SystStack, DataStack, \\\n",
    "                    McStack, TruthStack\n",
    "from freeforestml import toydata, example_style\n",
    "example_style()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = toydata.get()\n",
    "df = df.compute()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.assign(variation=\"NOMINAL\")\n",
    "\n",
    "df_up = df.assign(higgs_m=df.higgs_m + 1 * df.jet_1_eta.abs(),\n",
    "                  variation=\"1up\")\n",
    "\n",
    "df_down = df.assign(higgs_m=df.higgs_m - 1 * df.jet_2_eta.abs(),\n",
    "                    variation=\"1down\")\n",
    "\n",
    "df = pd.concat([df, df_up, df_down], sort=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_ztt = Process(r\"$Z\\rightarrow\\tau\\tau$\", range=(0, 0))\n",
    "p_sig = Process(r\"Signal\", range=(1, 1))\n",
    "\n",
    "p_bkg_up = Process(r\"Up\", lambda d: d.variation == \"1up\")\n",
    "p_bkg_down = Process(r\"Down\", lambda d: d.variation == \"1down\")\n",
    "p_ztt_nom = Process(r\"$Z\\rightarrow\\tau\\tau$\", lambda d: (d.variation == \"NOMINAL\") & (d.fpid == 0))\n",
    "p_sig_nom = Process(r\"Signal\", lambda d: (d.variation == \"NOMINAL\") & (d.fpid == 1))\n",
    "\n",
    "p_asimov = Process(r\"Asimov\", selection=lambda d: (d.fpid >= 0) & (d.variation == \"NOMINAL\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "c_nominal = Cut(lambda d: d.variation == \"NOMINAL\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "colors = [\"windows blue\", \"amber\", \"greyish\", \"faded green\", \"dusty purple\"]\n",
    "\n",
    "s_bkg = McStack(p_ztt, p_sig, palette=sns.xkcd_palette(colors))\n",
    "\n",
    "s_bkg_up = TruthStack(p_bkg_up,\n",
    "                   histtype=\"step\",\n",
    "                   color='k',\n",
    "                   palette=sns.xkcd_palette(colors))\n",
    "\n",
    "s_bkg_down = TruthStack(p_bkg_down,\n",
    "                     histtype=\"step\",\n",
    "                     color='k',\n",
    "                     linestyle='--',\n",
    "                     palette=sns.xkcd_palette(colors))\n",
    "\n",
    "s_bkg_nom = McStack(p_ztt_nom, p_sig_nom, palette=sns.xkcd_palette(colors))\n",
    "\n",
    "s_bkg_syst = SystStack(p_ztt, p_sig, palette=sns.xkcd_palette(colors))\n",
    "\n",
    "s_data = DataStack(p_asimov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "v_higgs_m = Variable(r\"$m^H$\", \"higgs_m\", \"GeV\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot nominal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "hist(c_nominal(df), v_higgs_m, 20, [s_bkg, s_data], range=(0, 200), selection=None,\n",
    "     weight=\"weight\",  ratio_label=\"Data / SM\", ratio_range=(0.1, 1.9))\n",
    "None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Envelop"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "hist(df, v_higgs_m, 20, [s_bkg_nom, s_bkg_up, s_bkg_down], range=(0, 200), selection=None,\n",
    "     weight=\"weight\",  ratio_label=\"Up / Down\", ratio_range=(0.1, 1.9))\n",
    "None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Full band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "hist(df, v_higgs_m, 20, [s_bkg_syst, s_data], range=(0, 200), selection=None,\n",
    "     weight=\"weight\",  ratio_label=\"Data / SM\", ratio_range=(0.1, 1.9))\n",
    "None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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