{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "imports",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from pyprojroot import here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "load",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv(here() / 'data/base/data.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "plot",
   "metadata": {},
   "outputs": [],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "\n",
    "# Histogram of Bell parameter values\n",
    "ax.hist(data['Bell Parameter (S)'], bins=20, color='steelblue', alpha=0.7, edgecolor='black')\n",
    "\n",
    "# Add classical limit line\n",
    "ax.axvline(x=2.0, color='red', linestyle='--', linewidth=2, label='Classical limit (S=2)')\n",
    "\n",
    "# Add Tsirelson bound\n",
    "ax.axvline(x=2*np.sqrt(2), color='green', linestyle='--', linewidth=2, label=f'Tsirelson bound (S={2*np.sqrt(2):.2f})')\n",
    "\n",
    "ax.set_xlabel('Bell Parameter (S)', fontsize=12)\n",
    "ax.set_ylabel('Number of Experiments', fontsize=12)\n",
    "ax.set_title('Distribution of Bell Parameter Values Across All Laboratories', fontsize=14)\n",
    "ax.legend()\n",
    "ax.grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(here() / 'output/plots/bell_violation.png', dpi=300, bbox_inches='tight')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
