evilnkode/notebooks/evilkode.ipynb

{
 "cells": [
  {
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-07-24T12:28:08.924404Z",
     "start_time": "2025-07-24T12:28:08.922674Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from src.benchmark import shuffle_benchmark, ShuffleTypes\n",
    "import matplotlib.pyplot as plt\n",
    "from pathlib import Path"
   ],
   "id": "initial_id",
   "outputs": [],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-24T12:28:08.944616Z",
     "start_time": "2025-07-24T12:28:08.934651Z"
    }
   },
   "cell_type": "code",
   "source": [
    "multiple = 1\n",
    "number_of_keys=6* multiple\n",
    "properties_per_key=9 * multiple\n",
    "passcode_len=4\n",
    "max_tries_before_lockout= 3\n",
    "complexity=2\n",
    "disparity=2\n",
    "run_count=10000\n",
    "\n",
    "bench_split = shuffle_benchmark(\n",
    "    number_of_keys=number_of_keys,\n",
    "    properties_per_key=properties_per_key,\n",
    "    passcode_len=passcode_len,\n",
    "    max_tries_before_lockout=max_tries_before_lockout,\n",
    "    run_count=run_count,\n",
    "    complexity=complexity,\n",
    "    disparity=disparity,\n",
    "    shuffle_type=ShuffleTypes.SPLIT_SHUFFLE\n",
    ")\n",
    "\n",
    "bench_full = shuffle_benchmark(\n",
    "    number_of_keys=number_of_keys,\n",
    "    properties_per_key=properties_per_key,\n",
    "    passcode_len=passcode_len,\n",
    "    max_tries_before_lockout=max_tries_before_lockout,\n",
    "    run_count=run_count,\n",
    "    complexity=complexity,\n",
    "    disparity=disparity,\n",
    "    shuffle_type=ShuffleTypes.FULL_SHUFFLE\n",
    ")\n"
   ],
   "id": "c86c6ed5014dac44",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "file exists ../output\n",
      "file exists ../output\n"
     ]
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-24T12:28:08.959177Z",
     "start_time": "2025-07-24T12:28:08.956983Z"
    }
   },
   "cell_type": "code",
   "source": [
    "print(f\"Bench Split Mean {bench_split.mean}\\n\"\n",
    "      f\"Bench Split Var: {bench_split.variance}\")\n",
    "print(f\"Bench full Mean {bench_full.mean}\\n\"\n",
    "      f\"Bench full Var: {bench_full.variance}\")\n"
   ],
   "id": "6de455d5097d9c3d",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bench Split Mean 7.2704\n",
      "Bench Split Var: 2.4663304730473046\n",
      "Bench full Mean 4.1724\n",
      "Bench full Var: 0.2597042104210421\n"
     ]
    }
   ],
   "execution_count": 9
  },
  {
   "cell_type": "code",
   "id": "99ddd0fbd421b058",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-24T12:28:08.979772Z",
     "start_time": "2025-07-24T12:28:08.976536Z"
    }
   },
   "source": [
    "def bench_histogram(data, title, number_of_keys, properties_per_key, \n",
    "                    passcode_len, max_tries_before_lockout, complexity, disparity, run_count, save_path: Path = None):\n",
    "    # Create the histogram\n",
    "    min_val = min(data)\n",
    "    max_val = max(data)\n",
    "    \n",
    "    # Create bins for each integer\n",
    "    bins = range(min_val, max_val + 2)\n",
    "    plt.hist(data, bins=bins, edgecolor='black')\n",
    "    \n",
    "    # Add titles and labels\n",
    "    plt.title(title)\n",
    "    plt.xlabel('# of Login Observations')\n",
    "    plt.ylabel('Simulations')\n",
    "    \n",
    "    # Display parameters as text in the plot\n",
    "    text = (f\"number_of_keys={number_of_keys}\\n\"\n",
    "            f\"properties_per_key={properties_per_key}\\n\"\n",
    "            f\"passcode_len={passcode_len}\\n\"\n",
    "            f\"max_tries_before_lockout={max_tries_before_lockout}\\n\"\n",
    "            f\"complexity={complexity}\\n\"\n",
    "            f\"disparity={disparity}\\n\"\n",
    "            f\"run_count={run_count}\")\n",
    "    \n",
    "    plt.text(0.95, 0.95, text, transform=plt.gca().transAxes, fontsize=10,\n",
    "             verticalalignment='top', horizontalalignment='right', bbox=dict(facecolor='white', alpha=0.5))\n",
    "    \n",
    "   # Save plot if a path is provided\n",
    "    if save_path:\n",
    "        save_path.mkdir(parents=True, exist_ok=True)\n",
    "        filename = (f\"{title.replace(' ', '_')}_multi{multiple}_keys{number_of_keys}_\"\n",
    "                    f\"props{properties_per_key}_pass{passcode_len}_tries{max_tries_before_lockout}_\"\n",
    "                    f\"comp{complexity}_disp{disparity}_runs{run_count}.png\")\n",
    "        plt.savefig(save_path / filename, bbox_inches='tight', dpi=300)\n",
    "         \n",
    "    # Display the plot\n",
    "    plt.show()\n"
   ],
   "outputs": [],
   "execution_count": 10
  },
  {
   "cell_type": "code",
   "id": "9cbf9282eba285e6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-24T12:28:09.456902Z",
     "start_time": "2025-07-24T12:28:08.990479Z"
    }
   },
   "source": [
    "bench_histogram(bench_split.runs, \"Key Logger Split Shuffle\", number_of_keys, properties_per_key, passcode_len, max_tries_before_lockout, complexity, disparity, run_count, Path(\"../output/histograms\"))\n",
    "bench_histogram(bench_full.runs, \"Key Logger Random Shuffle\", number_of_keys, properties_per_key, passcode_len, max_tries_before_lockout, complexity, disparity, run_count, Path(\"../output/histograms\"))"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 11
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}