Comparing the performance of utf-8 vs. utf-8-sig encodings in Python

utf-8-sig.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import timeit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 1 2 3 4 5 6 7 8 9 10 "
     ]
    }
   ],
   "source": [
    "enc2times = {}\n",
    "sizes = []\n",
    "max_exp = 10\n",
    "repeat = 5\n",
    "loops = 1_000_000\n",
    "for exp in range(max_exp + 1):\n",
    "    print(exp, end=\" \")\n",
    "    sizes.append(2**exp)\n",
    "    for enc in (\"utf-8\", \"U8\", \"U8 + lstrip\", \"utf-8-sig\"):\n",
    "        setup = f\"s = {sizes[-1]} * b'a'\"\n",
    "        stmt = f\"s.decode('{enc.split()[0]}')\"\n",
    "        if \"lstrip\" in enc:\n",
    "            stmt += \".lstrip('\\ufeff')\"\n",
    "        attempts = timeit.repeat(stmt, setup, repeat=repeat, number=loops)\n",
    "        enc2times.setdefault(enc, []).append(min(attempts) / loops)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x122ca0fd0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1920x1440 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.set_xscale(\"log\", base=2)\n",
    "for enc, times in enc2times.items():\n",
    "    ax.plot(sizes, times, label=enc)\n",
    "ax.set_xlabel(\"Bytestring length (bytes)\")\n",
    "ax.set_ylabel(\"Decoding time (s)\")\n",
    "ax.legend()"
   ]
  }
 ],
 "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": "3.10.6"
  }
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