dsentinel/compression analysis.ipynb

## compression analysis.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Seismic data compression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#%matplotlib widget\n",
    "%matplotlib inline\n",
    "\n",
    "import os\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import obspy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams.update({'figure.max_open_warning': 0})\n",
    "plt.rcParams.update({'axes.autolimit_mode':'round_numbers'})\n",
    "plt.rcParams['figure.figsize'] = [10, 6]\n",
    "plt.rcParams['figure.dpi'] = 100"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 files"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "files = [('all-data/quiet-IU_ANMO_00_B_H_Z.mseed', 'quiet'),\n",
    "         ('all-data/noisy-TA_T33K__B_H_E.mseed', 'noisy'),\n",
    "         ('W2F.ZR..HHE.2017.347', 'W2 HHE'),\n",
    "         ('W2F.ZR..LHE.2017.347','W2 LHE'),\n",
    "        ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class NS(object):\n",
    "    pass\n",
    "sets = list()\n",
    "\n",
    "for file, name in files:\n",
    "    ns = NS()\n",
    "    ns.mseed = file\n",
    "    ns.name = name\n",
    "    sets.append(ns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "hdr_size = 64"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "o = sets[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def readmseed(o):\n",
    "    o.tr = obspy.read(o.mseed)[0]\n",
    "    o.samples = o.tr.data\n",
    "    o.sr = o.tr.stats.sampling_rate\n",
    "    o.blk_size = o.tr.stats.mseed['record_length']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_ms_compression(o):\n",
    "    nb_samples = len(o.tr)\n",
    "    file_size = os.path.getsize(o.mseed)\n",
    "    o.compressed_size = file_size - (file_size/o.blk_size*hdr_size)\n",
    "    o.comp_ratio = o.compressed_size / ( nb_samples* 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### MSEED (steim2) compression ratio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "all-data/quiet-IU_ANMO_00_B_H_Z.mseed\n",
      "19.59%\n",
      "all-data/noisy-TA_T33K__B_H_E.mseed\n",
      "50.12%\n",
      "W2F.ZR..HHE.2017.347\n",
      "33.16%\n",
      "W2F.ZR..LHE.2017.347\n",
      "34.46%\n"
     ]
    }
   ],
   "source": [
    "for o in sets:\n",
    "    readmseed(o)\n",
    "    compute_ms_compression(o)\n",
    "    print(o.mseed)\n",
    "    print (f'{o.comp_ratio * 100:.2f}%')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotter(*l, title=None):\n",
    "    '''l = [(data, lable),...]'''\n",
    "    plt.figure()\n",
    "    for data, label in l:\n",
    "        plt.plot(data, alpha=.5, label = label)\n",
    "    plt.legend(loc=1)\n",
    "    plt.suptitle(title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_delta(o):\n",
    "    o.deltas = np.ediff1d(o.samples, to_begin=o.samples[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_xor(o):\n",
    "    o.xors = np.zeros_like(o.samples)\n",
    "    o.xors[0] = o.samples[0]\n",
    "    o.xors[1:] = np.bitwise_xor(o.samples[:-1], o.samples[1:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def encode_zigzag(n): return (n << 1) ^ (n >> 31)\n",
    "enc_zz_vec = np.vectorize(encode_zigzag)\n",
    "\n",
    "def decode_zigzag(n): return (n >> 1) ^ -(n & 1)\n",
    "dec_zz_vec = np.vectorize(decode_zigzag)\n",
    "\n",
    "def zz_deltas_xor(o):\n",
    "    o.zz_deltas = enc_zz_vec(o.deltas)\n",
    "    o.zz_xors = enc_zz_vec(o.xors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_bits(o):\n",
    "    o.bits_zz_deltas = np.fromiter((int.bit_length(int(x)) for x in o.zz_deltas), dtype=np.int8)\n",
    "    o.bits_zz_xors = np.fromiter((int.bit_length(int(x)) for x in o.zz_xors), dtype=np.int8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "quiet ...\n",
      "noisy ...\n",
      "W2 HHE ...\n",
      "W2 LHE ...\n"
     ]
    }
   ],
   "source": [
    "for o in sets:\n",
    "    print(o.name, '...')\n",
    "    readmseed(o)\n",
    "    make_delta(o)\n",
    "    make_xor(o)\n",
    "    zz_deltas_xor(o)\n",
    "    make_bits(o)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deltas & XORs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "plot_ = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "if plot_:\n",
    "    for o in sets:\n",
    "        plotter((o.zz_xors, 'xors'),(o.zz_deltas, 'delta'),  title=o.name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bits needed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "plot_ = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "if plot_:\n",
    "    for o in sets:\n",
    "        plotter( (o.bits_zz_xors, 'bits xor'),(o.bits_zz_deltas, 'bits delta'),  title=o.name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "plot_x_range = 20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.ticker import PercentFormatter\n",
    "\n",
    "def hister(*l, title=None):\n",
    "    '''l = [(data, lable),...]'''\n",
    "    plt.figure()\n",
    "    bins = range(32)\n",
    "    for data, label in l:\n",
    "        o.hist = plt.hist(data, alpha=.3, label=label, bins=bins)\n",
    "        plt.hist(data, alpha=.9, label=label+' cumulative', bins=bins, histtype='step', cumulative=True)\n",
    "\n",
    "    plt.legend(loc=1)\n",
    "    plt.grid()\n",
    "    plt.suptitle(title)\n",
    "    plt.gca().yaxis.set_major_formatter(PercentFormatter(xmax=len(data)))\n",
    "    plt.xlim(0,plot_x_range)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histogram of bits needed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cQevTp0+N7adMmULXrl2rlocPH85ZZ53FjTfeSElJCW3btmXChAmUl5czduxY2rVrR+fOnbn//vur9pk3bx4hhBpD+xYsWEAIgaVLl9bZzsWLF3PmmWdSUlJCUVERRx55JM8880zV+n79+rFs2TIuu+yyquuy5Xq1bdsWgDfeeIMQAq+//nqNuidPnkzXrl2JMQLw6quvMnDgQIqKiigpKeFb3/oWH3300TavYzYZtiRJktQkjR07lrlz5/LYY4/x9NNPM2/ePObPn19jmxEjRvDcc8/x0EMP8b//+79885vf5NRTT+XNN9/8TH2DBw/m8ssv58ADD2TFihWsWLGCwYMHA5CTk8Ptt9/Ov/71Lx544AHmzp3Lddddt9W2pdNpTjvtNJ5//nl+85vf8Oqrr3LTTTeRm5u7Q+f45z//meXLl/Pss88yefJkxo8fz9e+9jX22GMPXnzxRS6++GIuvvhi3n333R2qt7r169czcOBAnnnmGV555RVOOeUUTj/9dN555x0AHn30UTp37sxPfvKTqutSW69evTj88MN58MEHa5TPmDGDIUOGEEJgxYoVnHDCCfTp04eXX36Zp556ig8//JBBgwbtdNuT5jBCSZIkNTnr16/nV7/6Fb/+9a8ZMGAAAA888ACdO3eu2mbx4sXMnDmT9957j732ygxNvOKKK3jqqaeYOnUqN954Y406CwsLKSoqolmzZnTs2LHGuurPKnXr1o0JEyYwevRo7rvvvjrb98wzz/DSSy/x2muv0bNnTwC+9KUv7fB5tmvXjttvv52cnBx69erFz372MzZu3MjVV18NwFVXXcVNN93Ec889x7nnnrvD9QMceuihHHrooVXLEydO5LHHHuPxxx/nu9/9Lu3atSM3N5dWrVp95rpUN3ToUH7xi19w/fXXA7Bo0SLmz5/Pr3/9awDuvvtuDjvssBrX/f7776dLly4sWrSo6jo1Jt7ZkiRJUpOzePFiysrKOProo6vK2rVrR69evaqW//GPfxBjpGfPnhQVFVV9/vKXv7B48eIdOt7cuXMZMGAAe++9N61atWL48OF8/PHHbNiwoc7tFyxYQOfOnesdIA488EBycv7zT/6SkhIOPvjgquXc3FyKi4tZuXLlTh9jw4YNjBs3jgMOOIC2bdtSVFTE66+/XnVna3ude+65LFu2jBdeeAGABx98kD59+nDAAQcAMH/+fObOnVujL3r37g2ww/2xq3hnS5IkSU3OlmeAtiWdTpObm8v8+fM/M3yvqKhou4+1bNkyBg4cyMUXX8z1119Pu3btePbZZ7nwwgtJpVJ17vN5E0fk5OR85hzqqisvL6/GcgihzrJ0Ol1VL9S8Pltr4xZjx47lj3/8I7fccgs9evSgsLCQb3zjG5SVlW1zv9o6depE//79mTFjBkcddRQzZ87kv//7v6vWp9NpTj/9dG6++eY6922MDFuSJElqcnr06EFeXh4vvPAC++yzDwCffPIJixYt4oQTTgCgb9++VFRUsHLlSo477rjtqjc/P5+KiooaZS+//DLl5eXceuutVWHmt7/97TbrOeSQQ3jvvfe2Ojyuffv2fPDBB8QYqyacaIjp5tu3bw/AihUr2GOPPbar3r/+9a8MHz6cr3/960BmiGbtyTTqui51GTp0KFdeeSXnnXceixcvrjG08bDDDuN3v/sdXbt2pVmz3SPGOIxQkiRJTU5RUREjR45k7Nix/OlPf+Jf//oXw4cPrzHkrmfPngwdOpRhw4bx6KOPsmTJEv7+979z8803M3v27Drr7dq1K0uWLGHBggV89NFHlJaW0r17d8rLy7njjjt4++23mT59Ovfee+8223fCCSdw/PHHc8455zBnzhyWLFnCk08+yVNPPQVkZvhbtWoVP/vZz1i8eDF33nknTz75ZL2vS48ePejSpQvjx49n0aJF/OEPf6hzlsba+zz66KMsWLCAhQsXMmTIkKo7ZVt07dqVZ599lvfff3+bsweeffbZrFu3jlGjRtG/f3/23nvvqnWXXHIJH3/8Meeddx4vvfQSb7/9Nk8//TQXXHDBdgW5bDBsSZIkKTmrF8OH/07+s3rHn9mZNGkSxx9/PGeccQYnnXQSxx57LIcffniNbaZOncqwYcO4/PLL6dWrF2eccQYvvvgiXbp0qbPOc845h1NPPZX+/fvTvn17Zs6cSZ8+fZg8eTI333wzBx10EA8++CA33HDD57bvd7/7HUceeSTnnXceBxxwAOPGjasKFfvvvz933XUXd955J4ceeigvvfQSV1xxxQ5fg9ry8vKYOXMmr7/+Ooceeig333wzEydO3OY+P//5z9ljjz045phjOP300znllFM47LDDamzzk5/8hKVLl9K9e/equ2d1ad26NaeffjoLFy5k6NChNdbttddePPfcc1RUVHDKKadw0EEH8f3vf582bdrUCMmNSdie8apfBCGE1sDajz76iOLi4mw3p0lKpVLMnj2bgQMHfmassHYN+yD77IPssw+yzz7Ivobug82bN7NkyRK6detGQUFBpnDdcph6WubFxrtKXgGMeHK3eKlxOp1m3bp1tG7dutEGhS+COn82gdWrV7PnnnsCtIkxrkvq+LvHYEdJkiTtXlrvlQk+mz7Zdccs3GO3CFpqOgxbkiRJSkbrvQw/atK8ZylJkiRJCTBsSZIkSVICDFuSJEmSlADDliRJkiQlwLAlSZIkSQnY4bAVQjg+hPBECGF5CCGGEM6qtT6EEMZXrt8UQpgXQjiw1jYXVZavq6yjba31zUMI0yvXvxFC+Gqt9eNCCHfsaNslSZIkaVfZmTtbLYGFwHe3sn4c8IPK9UcCHwBzQgitqm3TAngKuHErdVwEHA4cDdwHzAwhBIAQQjfgO8A1O9F2SZIkSdoldvg9WzHGJ4EnASrzT5XKQHQpcEOM8dHKsm8DHwJDgHsr65hSua7fVg6zP/B4jPHfIYS3gUnAnsAq4G7gyiTf9CxJkiRJ9dXQLzXuBnQEnt5SEGMsDSH8BTiGyrC1HRYC3wohFAKnACuAj0II5wObY4yPfV4FIYTmQPNqRa0AUqkUqVRqO5uhhrTlunv9s8c+yD77IPvsg+yzD7KvofsglUoRYySdTpNOp6vK5707r0Hq3179uvTbpcerjxhj1Xf1a6aGlU6niTGSSqXIzc2tKt9Vv3/Clo7eqZ1DiMDXY4y/r1w+BngO2DvGuLzadr8E9o0xnlJr/37AXGCPGOOaauV5wBRgIPARcBnwKvB3oD+ZYYbnAouBC2KM79fRtvHAdbXLZ8yYQYsWLXb6nCVJklRTs2bN6NixI126dCE/P7+q/LkPntul7fhKx6/s0uPVlkqlyMvLy2obVFNZWRnvvvsuH3zwAeXl5VXlGzduZMiQIQBtkhwx19B3traoneBCHWVb3znGFHBJjQpCmAbcDvQBzgIOJfN82O3AOXVU81NgcrXlVsB7/fv3p7i4eHubogaUSqWYM2cOAwYM8BdRltgH2WcfZJ99kH32QfY1dB9s3ryZd999l6KiIgoKCqrKC9cW1rvuHdG6devt3nbVqlUceuihjBkzhquuugqAF198kRNOOIHHH3+ck08+mbvvvpvJkyfz7rvv0q1bN66++mq+9a1vVdWRm5vLnXfeyVNPPcWf/vQnLr/8cr7//e8zZswY5syZw/r16+ncuTM//OEPGTFiRI3jxxj59NNPadWq1WcezVHD2bx5M4WFhRx//PE1fjZXr169S47f0GHrg8rvjmSG/m3RgcxzWzulcjbCA4CRZJ7fmh1j3BBCeJitTNQRYywFSqvVAUBeXp6/2LPMPsg++yD77IPssw+yzz7Ivobqg4qKCkII5OTkkJPzn/nXqv95V9iR45WUlHD//fdz1llnccopp9C7d2+GDRvG6NGjOfXUU3nssce47LLLmDJlCieddBKzZs1i5MiR7LPPPvTv37+qngkTJvDTn/6UKVOmkJuby3XXXcdrr73Gk08+yZ577slbb73Fpk2bPtO2LUMHt1w3JSMnJ4cQwmd+1nfV756GDltLyASuAcArACGEfOAE4MqdqTCEUADcCQyJMVaEEHLJ3CkDyANyt7qzJEmStBUDBw7kwgsvZOjQoRx55JEUFBRw0003AXDLLbcwfPhwRo8eDcAPfvADXnjhBW655ZYaYWvIkCFccMEFVcvvvPMOffv25YgjjgCga9euu+6E1OjscNgKIRQBPaoVdQsh9AE+jjG+E0KYAlwdQngTeBO4GtgIzKhWR0cyd7+21HNwCOFT4J0Y48e1Dnkt8IcY4yuVy88Bk0IIU8nc1dq1g4ElSZK+KFa+Ds0a4K5KKg0VEVKbIbfakyPlZTtcVTpdARU7N2FEev3aHd7nZ+N/zCFPzubhhx/mpWfnkl9eSnp9Ka+99irfGXZ+jTqPOeIwbr/7nhplhx10QI3l/x4+jG+eP4x/vPx3Bnz1q5z5tf/imKO+/JnjVk2QsWEdaYcRJiZdWkYs3UTpK3+BWFFVXvrphl1y/J25s3UEmUktttjyXNQDwHDgZ0AhcBewB/AicHKM8dNq+1xMzckrnq38HgFM21IYQjgI+CaZ57S2eAToB/wVeIPMlPKSJEmNz7rlsOmTbLfisz7NPK9Ses9QKipKP2fjz1faai/iCdeQXg3pauEtvWbFNvaqW/mmnW9HWfm7O7zPG2+9xfLlK0in0yye/wq9W7fJrKhIk/74E8re+U+dqY8/gYqKGmXNN26ssXxi79688fRTPPWXZ/nzCy8w4Gtn8N/nnctNY6+ocdwYAnTam7L33ifUY8I6bVsqnab8409YcctN5H7wn5/HtTlJTV1R0868Z2se/xnGV9f6CIyv/Gxtm22ur7bdv4D9apWlgdGVH0mSpMZp3XKYelrmbk8jk9rUHA65nvf+2pbcVPnn7/A5Kjq0pfyoXFIbc2s8f1S+eSfumuXk0Kxta9iJ55jy9+qyQ9uXlZVxwbnnMeics+ndsyejxk9g4WmnUNKhA/vvvz8vLFrEiH3+U+dLixax/wEHkl+trNmee9ZYBth7ny6M7HMoI78/hnvvn8qVP7qWyXfcVmObGCOlFZDfeW8nyEhQurSMZuXldPrxD2le7c5Wy083wKmDEj/+rol0kiRJTc2mTzJBa+AkKO6e7dbUkH5zKawup8NV19Cia7d611earuD9VIq8vTuT3/w/rzltlrfjd5rIySGn2c79EzWnqM0Obf/jsWNZ++l67rj7HoqKinjqz3O58HuXMWvWLMb+8IcMGjSIw798FCeeeCJPPPEEjz3+BM8880yN4+QUtqyxfO2113L44Ydz4IEHUlpayuw5f2L//ff/TNvS6TSsW0do2doJMhKU02wzoXkhzXufUGM2wua76WyEkiRJqq64O5QcmO1W1LQ6B1YvIr/LPhT06ln/+jZvJixZQk7z5uRU+wdtTrV3bjU28+bNY8qUKcydO7dqyvjp06dzyCGHcPfddzNq1Chuu+02Jk2axPe+9z26devG1KlT6dev3zbrzc/P56qrrmLp0qUUFhZy3HHH8dBDD+2CM1JjZNiSJElSIvp16ZftJmxVv379SKVSNcr22Wcf1qxZU7U8atQoRo0atdU6Yh3PWv3oRz/iRz/6UcM1VLs1w5YkSVJCUhugYvEyWNO43idW9u472W6C1CQYtiRJkhKQWrWaZbMC8emJsItmPtteFfn58L0x5LRpne2mSF9ojetvviRJ0hdExbr1xAoouXQk+Yccl+3m1FBeUcEbby4ir0OHbDdF+kIzbEmSpN1bY32X1drMTHz5e3dqmEkoGlAqlYI3F2W7GdIXnmFLkiTtvhrxu6z4GCAHChyqJzVVhi1JkrT7asTvsmLxMnj2RmjpUD2pqTJsSZKk3V9jfJfVmjwIvqxWasr8DSBJkiRJCTBsSZIkSVICHEYoSZKkRKQ+/JCKNWt32fFy27Yhr6Rklx3vi27p0qV069aNV155hT59+mS9nt2RYUuSJEkNLvXhhyw7/1vEzbtupshQUMC+v5lu4Mqi4cOHs2bNGn7/+99XlXXp0oUVK1aw5557ZrFl2WHYkiRJUoOrWLOWuHkzJT/+Efn7dk38eGXLlvLh9ROpWLM2q2ErlUqRl5eXteM3RgZbqCMAACAASURBVLm5uXTs2DHbzcgKn9mSJElSYvL37UpBr56Jf3Y00K1atYqOHTty4403VpW9+OKL5Ofn8/TTT1eV3X333XTv3p38/Hx69erF9OnTa9QTQuCee+7hzDPPpGXLlkycOJFPPvmEoUOH0r59ewoLC9lvv/2YOnXqVtuSTqe5+eab6dGjB82bN2efffbhhhtuAGDevHmEEFizZk3V9gsWLCCEwNKlSwGYNm0abdu2ZdasWfTq1YsWLVrwjW98gw0bNvDAAw/QtWtX9thjD8aMGUNFRUWNtle/AwXQtm1bpk2bVmc7KyoqGDlyJN26daOwsJBevXpx2223Va0fP348DzzwAP/zP/9DCIEQAvPmzWPp0qWEEFiwYAHpdJrOnTtzzz331Kj7H//4ByEE3n77bQDWrl3LRRddRIcOHWjdujVf/epXWbhw4VavYWPlnS1JkiQ1Oe3bt+f+++/nrLPO4uSTT6Z3796cf/75jB49mpNPPhmAxx57jO9///tMmTKFk046iVmzZjFixAg6d+5M//79q+q67rrr+OlPf8rPf/5zcnNz+fGPf8yrr77Kk08+yZ577slbb73Fpk2bttqWq666ivvuu4+f//znHHvssaxYsYLXX399h85n48aN3H777Tz00EN8+umnnH322Zx99tm0bduW2bNn8/bbb3POOedw7LHHMnjw4J26ZluC0sMPP8yee+7J888/z0UXXUSnTp0YNGgQV1xxBa+99hrr1q2rCpft2rVj+fLlVXXk5ORw7rnn8uCDD3LxxRdXlc+YMYOjjz6aL33pS8QY+a//+i/atWvH7NmzadOmDffeey8nnngiixYtol27djvV/mwwbEmSJKlJGjhwIBdeeCFDhw7lyCOPpKCggJtuuqlq/S233MLw4cMZPXo0AD/4wQ944YUXuOWWW2qErSFDhnDBBRdULb/zzjv07duXI444AoCuXbtutQ2ffvopt912G7/4xS/49re/DUD37t059thjd+hcUqlU1V04gG984xtMnz6dDz/8kKKiIg444AD69+/P3Llzdzps5eXlMWHChKrlbt268fzzz/Pwww8zaNAgioqKKCwspLS0dJvDBocOHcrkyZNZtmwZ++67L+l0moceeoirr74agLlz5/LPf/6TlStX0rx5cyDTF7///e955JFHuOiii3aq/dngMEJJkiQ1Wbfccgvl5eU8/PDDPPjggxQUFFSte+211/jKV75SY/uvfOUrvPbaazXKtoSqLUaNGsVDDz1Enz59GDduHM8///xWj//aa69RWlrKiSeeWK/zaNGiRVXQAigpKaFr164UFRXVKFu5cmW9jnPPPfdwxBFH0L59e4qKirjvvvt45513dqiOvn370rt3b2bOnAnAX/7yF1auXMmgQYMAmD9/PuvXr6e4uJiioqKqz5IlS1i8eHG92r+rGbYkSZLUZL399tssX76cdDrNsmXLPrM+hFBjOcb4mbKWLVvWWD7ttNNYtmwZl156KcuXL+fEE0/kiiuuqPP4hYWF22xfTk5O1XG3SKVSn9mu9qQcIYQ6y9LpdI3l6vVure4tHn74YS677DIuuOACnn76aRYsWMCIESMoKyvb5jnUZejQocyYMQPIDCE85ZRTqmYrTKfTdOrUiQULFtT4vPHGG4wdO3aHj5VNhi1JkiQ1SWVlZQwdOpTBgwczceJERo4cyYcffli1fv/99+dvf/tbjX2ef/559t9//8+tu3379gwfPpzf/OY3TJkyhV/+8pd1brfffvtRWFjIn/70p63WA7BixYqqsgULFnzu8bdH+/bta9T75ptvsnHjxq1u/9e//pVjjjmG0aNH07dvX3r06PGZO035+fk1JuHYmiFDhvDPf/6T+fPn88gjjzB06NCqdYcddhgffPABzZo1o0ePHjU+u9v08T6zJUmSpCbpmmuuYe3atdx+++0UFRXx5JNPMnLkSGbNmgXA2LFjGTRoEIcddhgnnngiTzzxBI8++ijPPPPMNuu99tprOfzwwznwwAMpLS1l1qxZWw1oBQUFXHnllYwbN478/Hy+8pWvsGrVKv79738zcuRIevToQZcuXRg/fjwTJ07kzTff5NZbb22Q8//qV7/KL37xC4466ijS6TRXXnnlNqet79GjB7/+9a/54x//SLdu3Zg+fTp///vf6datW9U2Xbt25Y9//CNvvPEGxcXFtGnTps66unXrxjHHHMPIkSMpLy/nzDPPrFp30kkncfTRR3PWWWdx880306tXL5YvX87s2bM566yzPjNsszEzbEmSJCkxZcuWNsrjzJs3jylTpjB37lxat24NwPTp0znkkEO4++67GTVqFGeddRa33XYbkyZN4nvf+x7dunVj6tSp9OvXb5t15+fnc9VVV7F06VIKCws57rjjeOihh7a6/Y9//GOaNWvGtddey/Lly+nUqVPVTH15eXnMnDmTUaNGceihh3LkkUcyceJEvvnNb+7Q+dbl1ltvZcSIERx//PHstdde3HbbbcyfP3+r21988cUsWLCAwYMHE0LgvPPOY/To0Tz55JNV21x44YXMmzePI444gvXr1zN37tytThAydOhQLrnkEoYNG1ZjOGUIgdmzZ3PNNddwwQUXVE3Tf/zxx1Oym72wOtQep/lFFUJoDaz96KOPKC4uznZzmqRUKsXs2bMZOHCgL/vLEvsg++yD7LMPsq9B++DDf8P0s+Fbj0LJgQ3TwAay+Y1FvPud79Dl//5fCnr1zHZzamjovwebN29myZIldOvWrWqCidSHH7Ls/G8RN2+ud/3bKxQUsO9vpmf1pcbbK51Os27dOlq3bl31XJYaXl0/mwCrV6/eMiSxTYxxXVLH986WJEmSGlxeSQn7/mY6FWvW7rJj5rZts1sELTUdhi1JkiQlIq+kxPCjJs17lpIkSZKUAMOWJEmSJCXAsCVJkqQG0VQmXtPuI9s/k4YtSZIk1Utubi6QeUmw1JhseUlztmafdYIMSZK0W0ttgIrFy2BN45rKf1e9X6oxaNasGS1atGDVqlXk5eU5lfl2SKfTlJWVsXnzZq9XAmKMbNy4kZUrV9K2bduq/yGwqxm2JEnSbiu1ajXLZgXi0xMhp/H9syYUFJDbtk22m5G4EAKdOnViyZIlLFu2LNvN2S3EGNm0aROFhYWEELLdnC+stm3b0rFjx6wdv/H9VpIkSdpOFevWEyug5NKR5B9yXLab8xlN6b1P+fn57Lfffg4l3E6pVIpnn32W448/3hesJyQvLy9rd7S2MGxJkqTdXv7enSjo1TPbzWjycnJyKCgoyHYzdgu5ubmUl5dTUFBg2PoCc4CoJEmSJCXAsCVJkiRJCTBsSZIkSVICDFuSJEmSlADDliRJkiQlwLAlSZIkSQlw6ndJkvT51i2HTZ80TF3l6cz3ytehWT3/v+/ad+vfHklKiGFLkiRt27rlMPU0SG1umPpymkP36+G3QyFdWr+6PgbIgYLWDdEySWpQhi1JkrRtmz7JBK2Bk6C4e/3rK0/Dy2/D4Afrf2dr8TJ49kZo2aH+7ZKkBmbYkiRJ26e4O5QcWP96UingbejQG/Ly6lfXmjwIPoIuqXHyt5MkSZIkJcCwJUmSJEkJaPCwFUJoFkKYGEJYEkLYFEJ4O4RwbQj/uccfQohb+Yytts3kEMLHIYR3Qgjn1jrGoBDCEw3ddkmSJElqKEk8s3UlcDHwbeDfwBHAVGAtcFvlNp1q7XMa8CvgdwAhhNOBIcDJwH7A1BDCnBjj6hBCW+AG4MQE2i5JkiRJDSKJsHU08D8xxj9ULi8NIZxHJnQBEGP8oPoOIYQzgbkxxrcri/YH5sUYXwZeDiFMAb4ErAZ+BtwVY3wngbZLkiRJUoNIImz9Dbg4hNAzxrgohHAocCxwaV0bhxBKgP8icydsi4XARSGEPciErELgrRDCscBhwKjPa0QIoTnQvFpRK4BUKkUqldrxs1K9bbnuXv/ssQ+yzz7IPvtgJ5SnM+/GKk9XziRYPw3ZB+UVFVTk51NeUWGf7gD/HmSffZBdu+q6hxhjw1YYQgBuJDOcsALIBa6JMf50K9uPA34I7BVj3FytfDxwPrAJuBb4AzAfGE7m7tkY4CPgohjjv+uodzxwXe3yGTNm0KJFi50+P0mSJEm7t40bNzJkyBCANjHGdUkdJ4mwdS4wCRhL5pmtPsAU4Acxxgfq2P51YE6Mcczn1DseaEPm+a+ngYOBrwHfjTEeXsf2dd3Zem/FihUUFxfvxJmpvlKpFHPmzGHAgAHk1fe9Ktop9kH22QfZZx/shJWvw2+HZl5C3KF3vatryD4offMt3hszhs533EHz/XrUu21NhX8Pss8+yK7Vq1fTqVMnSDhsJTGMcBJwU4zxocrlf4YQ9gWuAmqErRDCcUAvYPC2Kgwh9AaGAn2BC4BnY4yrQggPA/eHEFrXvkgxxlKgtFodAOTl5fkDnWX2QfbZB9lnH2SffbADmuVAujTz3YDXrCH6oCI3l9yyMprl5tqfO8G/B9lnH2THrrrmSbxnqwWQrlVWsZVjjQTmxxgXbq2yymGJvwQujzGuJzMsccvV2fLt+8IkSZIkNSpJ3Nl6ArgmhPAOmWGEfYEfAPdX3yiE0Br4JnD559R3IbAyxvh45fJzwPgQwlFkpox/Nca4pgHbL0mSJEn1lkTYGgNcD9wFdACWA/cCP6m13blAAGZuraLKmQqvBo7ZUhZjfCmEcCuZCTNWUnMWQ0mSJElqFBo8bMUYPyUzzXudU71X2+6XZIYHbmubD4GudZT/hM+GN0mSJElqNHzWSZIkSZISYNiSJEmSpAQYtiRJkiQpAYYtSZIkSUqAYUuSJEmSEmDYkiRJkqQEGLYkSZIkKQGGLUmSJElKgGFLkiRJkhJg2JIkSZKkBBi2JEmSJCkBhi1JkiRJSoBhS5IkSZISYNiSJEmSpAQYtiRJkiQpAYYtSZIkSUqAYUuSJEmSEmDYkiRJkqQEGLYkSZIkKQGGLUmSJElKgGFLkiRJkhJg2JIkSZKkBBi2JEmSJCkBhi1JkiRJSoBhS5IkSZISYNiSJEmSpAQYtiRJkiQpAYYtSZIkSUqAYUuSJEmSEmDYkiRJkqQEGLYkSZIkKQGGLUmSJElKQLNsN0CSJDV+qQ1QsXgZrMmrd13lFRUAlL75FhW5ufWqq2zZ0nq3R5KSYtiSJEnblFq1mmWzAvHpiZBT/386VOTnw/fG8N6YMeSWldW7vlBQQG7bNvWuR5IammFLkiRtU8W69cQKKLl0JPmHHFfv+sorKnjjzUV0vuMOmtXzzhZAbts25JWU1LseSWpohi1JkrRd8vfuREGvnvWuJ5VKwZuLaL5fD/Ly6j8sUZIaKyfIkCRJkqQEGLYkSZIkKQGGLUmSJElKgGFLkiRJkhJg2JIkSZKkBBi2JEmSJCkBhi1JkiRJSoBhS5IkSZIS4EuNJUlqTNYth02fZLsVNa19N9stkKTdUoOHrRDCUmDfOlbdBVwKTAQGAl8C1gLPAD+MMS6vVsdkYDiwHhgXY3yo2rpBwLdijKc3dNslScqqdcth6mmQ2pztltT0MUAOFLTOdkskabeSxJ2tI4HcassHAXOA/we0AA4DrgcWAnsAU4DHgSMAQginA0OAk4H9gKkhhDkxxtUhhLbADcCJCbRbkqTs2vRJJmgNnATF3bPdmv9YvAyevRFadsh2SyRpt9LgYSvGuKr6cgjhh8Bi4C8xxggMqLV+DPBSCGGfGOM7wP7AvBjjy8DLIYQpZO6CrQZ+BtxVuZ0kSV9Mxd2h5MBst+I/1uRB8DFvSdpRiT6zFULIB84HJlcGrbq0ASKwpnJ5IXBRCGEPMiGrEHgrhHAsmbtio7bz2M2B5tWKWgGkUilSqdSOnooawJbr7vXPHvsg++yD7GvUfVCehpzmme9G1L7yigoq8vMpr6hokOvWqPugibAPss8+yK5ddd3D1jNQA1Seeb5qBrBP9Weyqq0vAP4GvB5jPL9a+XgyIW0TcC3wB2A+mee4jgbGAB8BF8UY/72VY48HrqtdPmPGDFq0aFGf05IkSZK0G9u4cSNDhgwBaBNjXJfUcZIOW38EyuqazCKEkEfmOa59gH7bOsnK4NQGmAo8DRwMfA34bozx8K3sU9edrfdWrFhBcXHxzp2Q6iWVSjFnzhwGDBhAXl5etpvTJNkH2WcfZF+j7oOVr8Nvh8LgB6FD72y3pkrpm2/x3pgxdL7jDprv16Pe9TXqPmgi7IPssw+ya/Xq1XTq1AkSDluJDSMMIewLnAScXce6POBhoBvw1c8JWr2BoUBf4ALg2RjjqhDCw8D9IYTWde0fYywFSqvVA0BeXp4/0FlmH2SffZB99kH2Nco+aJYD6dLMdyNqW0VuLrllZTTLzW3Qa9Yo+6CJsQ+yzz7Ijl11zZN82nUEsJLMEMAq1YLWfsBJMcbVW6sgZBLSL4HLY4zrycxyuOXKbPn2iV1JkiRJjU4id7ZCCDlkwtYDMcbyauXNgEfITHTxNSA3hNCxcvXHMcayWlVdCKyMMT5eufwcMD6EcBRwGvBqjHENkiRJktTIJDWM8CQyz2LdX6u8M3BG5Z8X1FrXH5i3ZSGEUAJcDRyzpSzG+FII4VYyd8tWAt9u0FZLkiRJUgNJJGzFGJ8GQh3lS+sq30odHwJd6yj/CfCT+rVQkiRJkpLl806SJEmSlADDliRJkiQlwLAlSZIkSQkwbEmSJElSAgxbkiRJkpQAw5YkSZIkJcCwJUmSJEkJMGxJkiRJUgIMW5IkSZKUAMOWJEmSJCXAsCVJkiRJCTBsSZIkSVICDFuSJEmSlADDliRJkiQlwLAlSZIkSQkwbEmSJElSAgxbkiRJkpQAw5YkSZIkJcCwJUmSJEkJMGxJkiRJUgIMW5IkSZKUAMOWJEmSJCXAsCVJkiRJCTBsSZIkSVICDFuSJEmSlADDliRJkiQlwLAlSZIkSQkwbEmSJElSAgxbkiRJkpQAw5YkSZIkJcCwJUmSJEkJMGxJkiRJUgIMW5IkSZKUAMOWJEmSJCXAsCVJkiRJCTBsSZIkSVICDFuSJEmSlADDliRJkiQlwLAlSZIkSQkwbEmSJElSAgxbkiRJkpQAw5YkSZIkJcCwJUmSJEkJMGxJkiRJUgIMW5IkSZKUAMOWJEmSJCWgwcNWCGF8CCHW+nxQbX1RCOEXIYT3QgibQgivhRBG1apjcgjh4xDCOyGEc2utGxRCeKKh2y1JkiRJDalZQvX+Gzip2nJFtT//HOgPnA8sBU4G7gohLI8x/k8I4XRgSGX5fsDUEMKcGOPqEEJb4AbgxITaLUmSJEkNIqlhhOUxxg+qfVZVW3c08ECMcV6McWmM8ZfAQuCIyvX7A/NijC/HGGcC64AvVa77GXBXjPGdhNotSZIkSQ0iqTtb+4UQlgOlwIvA1THGtyvX/Q04I4RwP7Ac6Af0BL5fuX4hcFEIYQ8yIasQeCuEcCxwGFBjyOHWhBCaA82rFbUCSKVSpFKpepyadtaW6+71zx77IPvsg+xr1H1Qnoac5pnvRtS+8ooKKvLzKa+oaJDr1qj7oImwD7LPPsiuXXXdQ4yxYSsM4TSgBbAIKAF+BPQGDqwcCpgP3AcMA8qBNPCdGOP0anWMJzPMcBNwLfAHYD4wnMydsTHAR8BFMcZ/b6Ud44HrapfPmDGDFi1aNMCZSpIkSdodbdy4kSFDhgC0iTGuS+o4DR62PnOAEFoCi4GfxRgnhxCuAC4ErgCWAccDPwW+HmN8Zit1jAfaAFOBp4GDga8B340xHr6Vfeq6s/XeihUrKC4ubohT0w5KpVLMmTOHAQMGkJeXl+3mNEn2QfbZB9nXqPtg5evw26Ew+EHo0DvbralS+uZbvDdmDJ3vuIPm+/Wod32Nug+aCPsg++yD7Fq9ejWdOnWChMNWUsMIq8QYN4QQ/klmaGEhcCOZYPWHyk3+N4TQh0z4+kzYCiH0BoYCfYELgGdjjKtCCA8D94cQWtd1gWKMpWSGMW6pB4C8vDx/oLPMPsg++yD77IPsa5R90CwH0qWZ70bUtorcXHLLymiWm9ug16xR9kETYx9kn32QHbvqmif+nq3KO0z7AyuAvMpPutZmFXW1JWQS0i+By2OM64Hcyv2p9u27wiRJkiQ1Og1+ZyuEcAvwBPAO0IHMM1utycxAuC6E8BdgUghhE5lhhCeQeX7rB3VUdyGwMsb4eOXyc8D4EMJRwGnAqzHGNQ19DpIkSZJUX0kMI+wMzAT2BFYBLwBHxRiXVa4/l8wzWg8C7cgErmuAe6pXEkIoAa4GjtlSFmN8KYRwK5kJM1YC306g/ZIkSZJUbw0etmKM537O+g+AEdtRz4dA1zrKfwL8ZGfbJ0mSJEm7gs87SZIkSVICDFuSJEmSlADDliRJkiQlIPH3bEmSpO2X2gAVi5fBmsbz3p2yZUuz3QRJ2i0ZtiRJaiRSq1azbFYgPj0RchrXf6JDQQG5bdtkuxmStFtpXL/JJUlqwirWrSdWQMmlI8k/5LhsN6eG3LZtyCspyXYzJGm3YtiSJKmRyd+7EwW9ema7GZKkenKCDEmSJElKgGFLkiRJkhJg2JIkSZKkBBi2JEmSJCkBhi1JkiRJSoBhS5IkSZISYNiSJEmSpAQYtiRJkiQpAYYtSZIkSUqAYUuSJEmSEmDYkiRJkqQEGLYkSZIkKQGGLUmSJElKgGFLkqT/397dR9lV1/cef38zmQTDQ6BRYioIyqOiKKIX8YLEaqBQ2lq9rTa4BGVJFcVLtb0uvW3NBR9LRRTxWqsN6i1L7O29VPRSE9SUqqiAFUWeAppASCAwSUjIw+TkzPf+sc/YyWSeMnN+s09m3q+1sk5mn9/+ne/Zv7PPPp+zH44kSQUYtiRJkiSpAMOWJEmSJBVg2JIkSZKkAgxbkiRJklSAYUuSJEmSCphZdwGSJNVi/b0ws8O+c3zy4borkCS1kWFLkjS9bHm0ur3+POjrrbeWwTYAzID9Dqq7EklSGxi2JEnTy/ZN1e2iy+HQo+utZbAHV8MtH4H9D627EklSGxi2JEnT0288F+afUHcVu9vUDdFhhzZKksbNd3RJkiRJKsCwJUmSJEkFGLYkSZIkqQDDliRJkiQVYNiSJEmSpAIMW5IkSZJUgGFLkiRJkgowbEmSJElSAYYtSZIkSSrAsCVJkiRJBRi2JEmSJKkAw5YkSZIkFWDYkiRJkqQCDFuSJEmSVIBhS5IkSZIKMGxJkiRJUgHFw1ZEvD8iMiKuGjBtSUTcGxFbI2JjRNwcEacMmu/KiNgQEQ9FxBsH3fdHEXFj6dolSZIkabyKhq2IeBlwEfCzQXfdD7wLeCFwGrAKWBYRz2jN97vAYuBM4H3A0oiY17rvYODDwDtL1i5JkiRJEzGzVMcRcQDwD8DbgL8YeF9mXjeo7XuAC4ETgW8DzwNWZObtwO2tvWLPBXqAvwY+m5kPjfL4s4HZAyYdCNBoNGg0GhN4Zhqv/uXu8q+PY1A/x6B+jWbff9x22DjsajZpzprFrmZzSr9GXA/q5xjUzzGo12Qt98jMMh1HfAnYkJl/GhErgJ9m5qVDtJsFvJsqkB2dmU9ExFnANcDLqELWd4EjgBOAq4BTMrM5yuMvAT44ePp1113HnDlzJvLUJEmSJO3Dtm3bxuLFiwHmZubmUo9TZM9W6xyrl1CFpeHanAt8FZgDrAMWZeYTAJn5rYj4X8BtwHbgfGAr8D+BC4B3RMQlwBPARZn5iyEe4qPAlQP+PhBY86pXvYp58+ZN7AlqXBqNBsuXL2fRokV0d3fXXc605BjUzzGoX2Pd3Sz/91UsOulIuhc8v+5ydtO78gHWXHIJh119NbOPObrucopxPaifY1A/x6BePT09k/I4bQ9bEXE48CngzMzcMULT7wIvBp5Odajh1yLilMxcD5CZS4AlA/pdAtwMNKj2gr0QOBf4MnDy4M4zsxfoHTA/AN3d3b6ga+YY1M8xqJ9jUKOu6nTl7q4ZHTcGza4uunbuZGZXV8fVVoLrQf0cg/o5BvWYrGVe4gIZJwOHAndExK6I2AWcAby79XcXQGZuzcwHMvOHmXkhsIvqvK09RMTxwHnAXwILgVsy83Hga8BLIuKgAs9DkiRJksatxGGE36ba6zTQUuBe4OMjnGsV7H5Bi2pitUvq88B7M/OpVljrj6L9t/5emCRJkqSO0vawlZlbgLsGTouIrUBPZt4VEfsD/x34OtW5WvOAi4HDgH8cosu3Aesz8+utv78PLImIlwNnA3dn5qZ2Pw9JkiRJmohil34fQRM4nuqiF0+nupz7bcDpgy90ERHzgQ8Ar+iflpk/johPAN8E1rf6kSRJkqSOMilhKzMXDvj/DuB1Y5zvMeDIIaZfBlzWpvIkSZIkqe0810mSJEmSCjBsSZIkSVIBhi1JkiRJKsCwJUmSJEkFGLYkSZIkqQDDliRJkiQVYNiSJEmSpAIMW5IkSZJUgGFLkiRJkgowbEmSJElSAYYtSZIkSSrAsCVJkiRJBRi2JEmSJKkAw5YkSZIkFWDYkiRJkqQCDFuSJEmSVIBhS5IkSZIKMGxJkiRJUgGGLUmSJEkqwLAlSZIkSQUYtiRJkiSpAMOWJEmSJBVg2JIkSZKkAgxbkiRJklSAYUuSJEmSCjBsSZIkSVIBhi1JkiRJKsCwJUmSJEkFGLYkSZIkqQDDliRJkiQVYNiSJEmSpAIMW5IkSZJUgGFLkiRJkgqYWXcBkiTVofdXD9F8anbdZexm5+pVdZcgSWojw5YkaVpp9GwAYM1fXkHXrr6aq9lT7LcfXQfPrbsMSVIbGLYkSdNK3+anADj04jcz58TTaq5mT10Hz6V7/vy6y5AktYFhS5I0Lc1aMJ/9jju27jIkSVOYF8iQJEmSpAIMW5IkSZJUgGFLkiRJkgowbEmSJElSAYYtSZIkSSrAsCVJkiRJBRi2JEmSJKkAw5YkSZIkx8xhMgAAGKRJREFUFdD2sBUR74+I2yJiS0Ssj4gbIuK4QW3mR8S1EbE2IrZFxL9ExDGD2lwZERsi4qGIeOOg+/4oIm5sd+2SJEmS1C4l9mydAVwDvBxYBMwElkXE/gAREcANwHOB3wdOAlYDNw9o87vAYuBM4H3A0oiY17rvYODDwDsL1C5JkiRJbTGz3R1m5m8P/Dsi3gKsB04GbgGOoQpiL8jMX7TaXNxq88fAF4DnASsy83bg9oi4iiqc9QB/DXw2Mx9qd+2SJEmS1C5tD1tDmNu63dC6nd263dHfIDObEbETOI0qbN0JXBQRh1CFrKcBD0TEacBLgHeM9qARMXvAYwEcCNBoNGg0GuN/Nhq3/uXu8q+PY1A/x6B+u/ry17eOQz1cD+rnGNTPMajXZC33yMxynVeHDP4zcEhmnt6a1g2sBH4M/AmwFXgP8FFgWWae1Wq3BHgTsB34K+CbwB3ABcCpwCXAE8BF/XvIBj32EuCDg6dfd911zJkzp43PUpIkSdK+ZNu2bSxevBhgbmZuLvU4pcPWNcDvAKdl5poB008Gvgi8CGgCNwN9AJl5zjB9LaHaS7YUWAa8EDgXeFdmnjxE+6H2bK1Zt24d8+bNm/Bz095rNBosX76cRYsW0d3dXXc505JjUD/HoH5bb/0W/7qxyRmHdLH/qWfVXc605HpQP8egfo5BvXp6eliwYAEUDlvFDiOMiKuB3wNeOTBoAWTmHcCLI2IuMCszH4+IHwG3D9PX8cB5VBfTeCtwS2uerwF/HxEHDV5ImdkL9A7oA4Du7m5f0DVzDOrnGNTPMajPzBnx61vHoF6uB/VzDOrnGNRjspZ5iUu/R0R8Bngd8FuZ+avh2mbmk63QdAzwUqpDDvfoD/g88N7MfAroAvqXTv+tvxcmSZIkqaOU2LN1DdVl238f2BIRz2xNfzIztwNExB8CjwMPUR0O+CnghsxcNkR/bwPWZ+bXW39/H1gSES8HzgbuzsxNBZ6HJEmSJI1bibDVf6XAFYOmvwW4tvX/BcCVwHxgHfBl4PLBHUXEfOADwCv6p2XmjyPiE1QXzFgPnN++0iVJkiSpPUr8zlaMoc2ngU+Pod1jwJFDTL8MuGw89UmSJEnSZJiM39mSJE1Hm9fC9o11V7GnzY9QHVghSVJZhi1JUvttXgtLz4bGjtHbTrYnZ8NLL4f9Dqy7EknSFGfYkiS13/aNVdA65wqYd1Td1exu5Sro2QVznlF3JZKkKc6wJUkqZ95RMP+EuqvYXc8M6Lm/7iokSdOAv08lSZIkSQUYtiRJkiSpAMOWJEmSJBVg2JIkSZKkAgxbkiRJklSAYUuSJEmSCjBsSZIkSVIBhi1JkiRJKsAfNZYkqYPcfPdjdZcwpNc8f37dJUjSPsc9W5IkSZJUgGFLkiRJkgowbEmSJElSAYYtSZIkSSrAsCVJkiRJBRi2JEmSJKkAL/0uSZqWblu1gSadd5n1uzbdWncJQ3oNr627BEna57hnS5IkSZIKMGxJkiRJUgGGLUmSJEkqwHO2JEnSqFY8vKJtfWUzAfjeI98jumLC/S08fOGE+5CkEtyzJUmSJEkFGLYkSZIkqQDDliRJkiQVYNiSJEmSpAIMW5IkSZJUgGFLkiRJkgowbEmSJElSAYYtSZIkSSrAsCVJkiRJBRi2JEmSJKkAw5YkSZIkFWDYkiRJkqQCDFuSJEmSVIBhS5IkSZIKMGxJkiRJUgEz6y5AkjQ1NbZC88HVsKm77lJ2s/Phh+ouQZI0TRi2JElt13i8h9XfCHLZh2BGZ21qmrNmwbsvoe+AA+suRZI0xXXWFlCSNCU0Nz9FNmH+pRcy68TT6y5nN7uaTe5beT99h8wj6i5GkjSlGbYkScXMetYC9jvu2LrL2E2j0YCV99ddhiRpGvACGZIkSZJUgGFLkiRJkgrwMEJJ0rR095O3kX7lOGY/fXhT2/qKPjiS4GdrnmzLGCw8fOJ9SFIJbd/MRMQrI+LGiFgbERkRrx2h7d+22lw6aPqVEbEhIh6KiDcOuu+PIuLGdtctSZIkSe1UYs/W/sCdwFLgn4Zr1AphpwBrB03/XWAxcCZwDLA0IpZnZk9EHAx8GHh1gbolSdI+aMXDK+ouYVgLD19YdwmSatT2sJWZNwE3AUQMfVHdiHgW8BngLOCbg+5+HrAiM28Hbo+Iq4DnAj3AXwOfzUx/kVKSJElSR5v0c7YiYgbwFeCKzPzFEIHsTuCiiDiEKmQ9DXggIk4DXgK8Y4yPMxuYPWDSgVBd8rfRaEzsSWhc+pe7y78+jkH9pssY7OpLmrNms6svO+659tcTfTUXMo31L/t2jUE2sz0dFdBpr/9+0+W9qJM5BvWarOUemeXeoCIigT/IzBsGTHs/8CrgrMzMiFgFXJWZVw1oswR4E7Ad+CuqvV93ABcApwKXAE8AF2XmL4Z57CXABwdPv+6665gzZ04bnp0kSZKkfdG2bdtYvHgxwNzM3FzqcSY1bEXEyVTB6SWZubY1bRWDwtYQ/SwB5lKdB7YMeCFwLvCuzDx5mHmG2rO1Zt26dcybN2+Cz0zj0Wg0WL58OYsWLaK7u7vucqYlx6B+bR+DLY/C9vZdJa5deu+8lTWXXcNhf/MRZp9yZt3l7KZ/DFYfkl6NsCbRB0dsjLaNwYmHzZ14J4Wc9qzT6i5hSG4P6ucY1Kunp4cFCxZA4bA12YcRng4cCjw04PDBLuATEXFpZh45eIaIOB44DzgJeCtwS2Y+HhFfA/4+Ig4aagFlZi/QO6AfALq7u31B18wxqJ9jUL+2jMHmtfCVc6Gxoz1FtVFzA3TtnMHMOXM79rWWMzBs1axdYxBdQ58j3gk69fXfz+1B/RyDekzWMp/ssPUV4OZB077Vmr50cOOoEtLngfdm5lMR0QX0L5n+WzeVkqan7RuroHXOFTDvqLqr2d2Dq+GWj8D+h9ZdiSRJtWl72IqIA4CjB0x6TkS8GNjQuopgz6D2DeDRzLxviO7eBqzPzK+3/v4+sCQiXg6cDdydmZ13/IwkTaZ5R8H8E+quYnebuiH8LkySNL2V2LP1UuC7A/6+snX7JaoLXIxJRMwHPgC8on9aZv44Ij5Bdd7XeuD8iRYrSSqjd1cfP/xlD7uaj9Vdym6yuavuEiRJ00SJ39laAYz54OmhztNqTX8M2OO+zLwMuGx81UmSJEnS5PAYD0mSJEkqwLAlSZIkSQUYtiRJkiSpAMOWJEmSJBVg2JIkSZKkAgxbkiRJklSAYUuSJEmSCjBsSZIkSVIBhi1JkiRJKsCwJUmSJEkFGLYkSZIkqQDDliRJkiQVYNiSJEmSpAIMW5IkSZJUgGFLkiRJkgqYWXcBkqTxa2yF5oOrYVN33aXsZufqVXWXoGnkpw9vqruEYS08vO4KJNXJsCVJ+6jG4z2s/kaQyz4EMzrv7bx3ZnJP3/30bnqs7lJ2E31wJFF3GZKkaaDzts6SpDFpbn6KbML8Sy9k1omn113OHpY+cCu9h8ytuwxJkmpj2JKkfdysZy1gv+OOrbuMPfT23F13CZIk1coLZEiSJElSAYYtSZIkSSrAwwglaSw2r4XtGyfez66+6nb9vTBzgt93PfnwxOuRVNSKh1fUXcKQspl1lyBNC4YtSRrN5rWw9Gxo7Jh4XzNmw1GXw/XnQV/vxPraAMkMfvJYk213d9YV/yRJkmFLkka3fWMVtM65AuYdNbG+dvXB7b+EN/zDxPdsPbiand/5EDv3e/rE+pEkSUUYtiRprOYdBfNPmFgfjQbwSzj0eOie4A8Rb+qG8NRbSZI6lVtpSZIkSSrAsCVJkiRJBRi2JEmSJKkAw5YkSZIkFWDYkiRJkqQCDFuSJEmSVICXfpekMWhsheaDq6vLrU/ArmYTgN6VD9Ds6ppQXztXr5rQ/JIkqSzDliSNovF4D6u/EeSyD8GMib1tNmfNgndfwppLLqFr584J15azZtN3wIET7keSJLWfYUuSRtHc/BTZhPmXXsisE0+fUF+7mk3uW3k/h119NTMnuGcLYOkDt9Lb9QBsemDCfUmSpPYybEnSGM161gL2O+7YCfXRaDRg5f3MPuZoursndkgiQG/P3RPuQ5IklWHYktQ5Nq+F7RvrrmJPTz5cdwWSJGkfZNiS1Bk2r4WlZ0NjR92V7GkDJDP4yWNNtt392IS6yuYuAFbcu57o8i1YkqSpzC29pM6wfWMVtM65AuYdVXc1u3twNTu/8yF27vf0uiuRJEn7EMOWpM4y7yiYf0LdVexuUzeEP0soSZL2jp8eJEmSJKkA92xJ6hjt+uHgdvPHgyVJ0ngYtqTpaP29MLOzdmw37v9J2344uITemck9fffTu2liF8iIPjiS4O4nbyM7awgkFfDThzfVXcKQ+t+LJJXVeZ9oJJWz5dHq9vrzoK+33loGaW6AvuYMNr7pLWw/8gV1l7OHe/rup/eQuXWXIUmS9iGGLWk62d76hnXR5XDo0fXWMljrin/bj3wBu454bt3V7GGie7QkSdL0Y9iSpqHeJ2fSnNVh50U9NdMr/knSJPveI98jujrrcMKFhy+suwSpbWoNWxFxMfDnwALgF8Clmflvrfv+rHUfwMcy85MD5jsF+CzwnzKzOblVS2OweW31u1EdpvHgT4GDWPOXV9C1q6/ucvbQrvOiJEmSOkFtYSsi3gBcBVwMfB/4E+CmiHg+MBe4DDgXCOAbEbE8M++KiG7gc8BFBi11pM1raVz92zS3dtY5UQA7npoNr76cjW94E71HdNhvWeF5UZIkaWqpc8/We4AvZuYXWn9fGhFnAe8A/h34WWZ+ByAifgY8D7iLam/XLZl5Ww01T0/t2kvTvyeljVfCazzeQ3PzU23pq12aa+5j3Q07yZlzO+6qes1Zs+DVcOdh3eyY24l7jwxakiRp6qjlk2BEzAJOBj426K5lwCuALwPHRsSzqfZsHQvcFRFHAxe05h3tMWYDswdMOhDg0RU30nvA/hN9CtNH72a49TPQ3DnhrnbNmM22F/05664+n5ltuBJecwc89qOgE/dv9s7s5p43LqJ37jPqLmU3QfAb27ax+eBucsu2usuZlqIPtm0Lemell36viWNQP8egfv1jcN89WztuDF44p6fuEiZFo9Fg27Zt9PT00N3dWedRTwcbNmyYlMeJzJyUB9rtQSN+E3gE+M+Z+YMB0z8AnJ+Zx0XE24E/bd31ycz8XETcDHyGKiQuARrAf83MW4Z4jCXAB4s+EUmSJEn7sudk5qpSndd9jNPgpBf90zLzc1TnZlV3RFwAbAFuBe4DXgYcBnw1Ip6TmYN3lXwUuHLA3wcCa1rzbGnfU9BecAzq5xjUzzGon2NQP8egfo5B/RyDevUv/6K7uOoKW08ATeCZg6YfCuxxIklEPB34K+CVwCnA/Zm5EljZumDGscDPB87TCl+9A/ro/++WzNzcnqehveEY1M8xqJ9jUD/HoH6OQf0cg/o5BvUasPyLquUo3czcCdwBLBp01yLgB3vOwVVUhxKuAbqAgQe2zmxNkyRJkqSOUedhhFcCX4mI26kODbwIeDYDDh0EiIhFwDHAm1uTfgwcHxFnA4dT7SG7b7KKliRJkqSxqC1sZeb1ETGP6vDABVSXdT8nM1f3t4mIp1FdEOMNmdnXmu+RiLgEWEp1mOD5mbl9DA/ZC/wPBhxaqEnnGNTPMaifY1A/x6B+jkH9HIP6OQb1mpTlX8vVCCVJkiRpquuwX1aQJEmSpKnBsCVJkiRJBRi2JEmSJKkAw5YkSZIkFWDYkiRJkqQCplTYioiLI+JXEbEjIu6IiNNHaX9Gq92OiPhlRLx9smqdaiLi/RFxW0RsiYj1EXFDRBw3yjwLIyKH+Hf8ZNU9lUTEkiGW5aOjzOM60EYRsWqY1/Q1w7R3HZigiHhlRNwYEWtby+61g+6P1rqxNiK2R8SKiDhhDP2+PiLujoje1u0flHsW+7aRxiAiuiPi4xHx84jY2mrz5Yj4zVH6vGCYdWO/8s9o3zOG9eDaIZblD8fQr+vBGI1hDIZ6PWdE/PkIfboejNFYPofWtT2YMmErIt4AXAV8GDgJ+Dfgpoh49jDtnwP8v1a7k4CPAJ+OiNdPTsVTzhnANcDLgUVUv+G2LCL2H8O8x1H91lr/v5WlipwGfsHuy/KFwzV0HSjiZey+/Be1pv/jKPO5Dozf/sCdwLuGuf+/Ae9p3f8y4FFgeUQcOFyHEXEqcD3wFeBFrduvRcQpbax7KhlpDOYALwEub92+DjgW+PoY+t3M7uvFgszc0Y6Cp6DR1gOAf2H35XnOSB26Huy10cZgwaB/bwUS+KdR+nU9GJuxfA6tZXswZX5nKyJ+BPwkM98xYNo9wA2Z+f4h2n8c+L3MfN6AaZ8DXpSZp05GzVNZRDwDWA+ckZm3DNNmIfBd4JDM3DSJ5U1JEbEEeG1mvniM7V0HCouIq4BzgWNyiDdb14H2iogE/iAzb2j9HcBa4KrM/Hhr2mzgMeB9mfm3w/RzPXBQZp49YNq/ABsz848LP4192uAxGKbNy4AfA0dk5kPDtLmAatwOLlLoFDbUGETEtcDBmfnaYWfcsx/Xg3Ea43pwA3BgZr56hDYX4HowLoM/h9a5PZgSe7YiYhZwMrBs0F3LgFcMM9upQ7T/FvDSiOhub4XT0tzW7YYxtP33iFgXEd+OiFeVLGoaOKa1e/xXEfHViHjuCG1dBwpqvS+9Cfj7oYLWIK4DZTwHeCYDXueZ2Qv8K8NvG2D4dWOkeTR2c6m+0R/tC4YDImJ1RKyJiG9ExEmTUNtUtrB1eNX9EfF3EXHoKO1dDwqJiPnA7wBfHENz14PxGfw5tLbtwZQIW8DTgS6qdDrQY1QLdijPHKb9zFZ/GqfWtwdXAt/LzLtGaLoOuAh4PdWhJfcB346IV5avckr6EfBm4CzgbVSv8R9ExLxh2rsOlPVa4GDg2hHauA6U1f/+vzfbhv759nYejUHrXJOPAddl5uYRmt4LXAD8HvDHwA7g+xFxTPEip6abgPOA3wLeS3UI1Xda3+wPx/WgnPOBLcD/GaWd68E4DPM5tLbtwcyxNtxHDP72OIaYNlr7oaZr73wGOBE4baRGmXkf1YfLfrdGxOHAnwFDHnqo4WXmTQP+/HlE3Ao8SPWmfuVwsw3623WgfS4EbsrMtcM1cB2YNHu7bRjvPBpBa4/5V6m+6L14pLaZ+UPg1xdwiIjvAz8BLgHeXbDMKSkzrx/w510RcTuwmmrvykgf+F0Pyngr8A+jnXvlejBuI30OnfTtwVTZs/UE0GTPlHkoe6bRfo8O034X0NPW6qaRiLia6huYV2XmmnF08UPAb2zaIDO3Aj9n+OXpOlBIRBwBvAb4wjhmdx1on/6rce7NtqF/vr2dRyNoBa2vUR3Ks2iUvVp7yMw+4DZcN9oiM9dRha2RlqfrQQFRXSn7OMaxfXA9GN0In0Nr2x5MibCVmTuBO/iPK3/1WwT8YJjZbh2i/ZnA7ZnZaG+FU1/rcpqfoToU6rcy81fj7OokqkOrNEGtw0Oex/DL03WgnLdQnZj7zXHM6zrQPr+i2lD++nXeOpfuDIbfNsDw68ZI82gYA4LWMcBrMnOvv8xpHRb0Ylw32qJ1ePnhjLw8XQ/KuBC4IzPv3NsZXQ+GN4bPobVtD6bSYYRXAl9p7Rq/leo8iGcDnwOIiI8Cz8rMN7fafw54V0RcCfwd1QlwF1IdE6u9dw2wGPh9YEtE9H8L8GRmboc9xyAiLgVWUV2uvP9iAq9v/dNeioi/AW4EHqL61uUvgIOAL7Xudx2YBBExgypsfSkzdw26z3WgzSLiAODoAZOeExEvBjZk5kOtK0J+ICJWUl1S/wPANuC6AX18GXhkwJVrPwXcEhHvA/6Z6n3tNYxyaPR0NdIYUF39639TXfb9XKBrwPZhQ+vL0j3GICI+SLWXdyXV+9i7qT5kvrP8M9r3jDIGG4AlVJcYXwccSfVTH08A/3dAH64HEzDae1GrzUHAH1KdNzdUH64H4zfi59DMzNq2B5k5Zf5RHQO+Cuil2tP1ygH3XQusGNT+DKpjX3upEu/b634O++o/qmNXh/p3wXBjQPV7Bw8A26k2Bv8GnFP3c9lX/1GdC7EW2Ak8QrVhff5wy781zXWg/eNwZuu1f+wQ97kOtH95Lxzmvefa1v1B9UFzHdXJ5f8KvGBQHyv62w+Y9l+oTk7fCdwDvK7u59qp/0YaA6oP9sNtHxYONwbAJ6kOc+ul2kv8LeDUup9rp/4bZQye1lp+61uv59Wt6YcP6sP1oNAYDGhzEdWH+7nD9OF6MP7lP5bPobVsD6bM72xJkiRJUieZEudsSZIkSVKnMWxJkiRJUgGGLUmSJEkqwLAlSZIkSQUYtiRJkiSpAMOWJEmSJBVg2JIkSZKkAgxbkiRJklSAYUuSJEmSCjBsSZIkSVIBhi1JkiRJKuD/A9F7UsZvqdJFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for o in sets:\n",
    "    hister( (o.bits_zz_deltas, 'delta'), (o.bits_zz_xors, 'xors'), title=o.name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Theoretical compression compared"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "all-data/quiet-IU_ANMO_00_B_H_Z.mseed\n",
      "15.55% 0 bit overhead per sample\n",
      "18.67% 1 bit overhead per sample\n",
      "21.80% 2 bit overhead per sample\n",
      "24.92% 3 bit overhead per sample\n",
      "28.05% 4 bit overhead per sample\n",
      "31.17% 5 bit overhead per sample\n",
      "34.30% 6 bit overhead per sample\n",
      "19.59% stiem2 compression ratio\n",
      "\n",
      "all-data/noisy-TA_T33K__B_H_E.mseed\n",
      "34.75% 0 bit overhead per sample\n",
      "37.87% 1 bit overhead per sample\n",
      "41.00% 2 bit overhead per sample\n",
      "44.12% 3 bit overhead per sample\n",
      "47.25% 4 bit overhead per sample\n",
      "50.37% 5 bit overhead per sample\n",
      "53.50% 6 bit overhead per sample\n",
      "50.12% stiem2 compression ratio\n",
      "\n",
      "W2F.ZR..HHE.2017.347\n",
      "26.56% 0 bit overhead per sample\n",
      "29.69% 1 bit overhead per sample\n",
      "32.81% 2 bit overhead per sample\n",
      "35.94% 3 bit overhead per sample\n",
      "39.06% 4 bit overhead per sample\n",
      "42.19% 5 bit overhead per sample\n",
      "45.31% 6 bit overhead per sample\n",
      "33.16% stiem2 compression ratio\n",
      "\n",
      "W2F.ZR..LHE.2017.347\n",
      "28.04% 0 bit overhead per sample\n",
      "31.16% 1 bit overhead per sample\n",
      "34.29% 2 bit overhead per sample\n",
      "37.41% 3 bit overhead per sample\n",
      "40.54% 4 bit overhead per sample\n",
      "43.66% 5 bit overhead per sample\n",
      "46.79% 6 bit overhead per sample\n",
      "34.46% stiem2 compression ratio\n",
      "\n"
     ]
    }
   ],
   "source": [
    "for o in sets:\n",
    "    print(o.mseed)\n",
    "    bits_need = {0:0, 1:0, 2:0, 3:0, 4:0, 5:0, 6:0}\n",
    "    for bit, count in zip(o.hist[1], o.hist[0]):\n",
    "        if count ==0: continue\n",
    "        #print(f'{count:>10.0f} {bit:2d}')\n",
    "        for b in bits_need:\n",
    "            bits_need[b] += count*(bit+b)\n",
    " \n",
    "    for bits, need in bits_need.items():\n",
    "        bytes_need = need / 8\n",
    "        comp_ratio = bytes_need / (len(o.samples)*4)\n",
    "        print(f'{comp_ratio*100:0.2f}% {bits} bit overhead per sample')\n",
    "    print(f'{o.comp_ratio * 100:0.2f}% stiem2 compression ratio')\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Brotli "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "quiet_de_time = 0.115\n",
    "noisy_de_time = 0.163"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "noisy_br =  5927653 \n",
    "quiet_br = 3387464\n",
    "uncomp =  13824000\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Compression ratio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'24.50%'"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f'{quiet_br / uncomp *100:0.2f}%'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'42.88%'"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f'{noisy_br / uncomp *100:0.2f}%'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### speed in MB/S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "80.88094325153374"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "noisy_speed = uncomp / noisy_de_time\n",
    "noisy_speed / 2**20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "114.6399456521739"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "quiet_speed = uncomp / quiet_de_time\n",
    "quiet_speed / 2**20\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "##### XOR is not suitable:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = 1 << 10 \n",
    "x2 = x1 - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0b10000000000'"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bin(x1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0b1111111111'"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bin(x2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x1 - x2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2047"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
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