Probability distribution and murmurhash.

prob.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import mmh3\n",
    "\n",
    "matplotlib.rcParams['figure.figsize'] = (18, 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def convert_and_compare_samples(\n",
    "        samples, hash_func=lambda x: mmh3.hash(str(int(x)))):\n",
    "    \"\"\"\n",
    "    Given a numpy array of int samples, normalize to [0, <max>] and convert\n",
    "    with murmurhash to the same range. Then plot.\n",
    "    \"\"\"\n",
    "    samples -= samples.min()\n",
    "    sample_max = samples.max()\n",
    "    \n",
    "    hash_func_v = np.vectorize(hash_func)\n",
    "    hashed_samples = hash_func_v(samples) % sample_max\n",
    "    \n",
    "    fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2)\n",
    "    for ax in (ax1, ax2):\n",
    "        ax.set_xlim(0, sample_max)\n",
    "        ax.set_xlabel('Samples')\n",
    "        ax.set_ylabel('Freq')\n",
    "        ax.grid(True)\n",
    "\n",
    "    # Histogram for input samples.\n",
    "    ax1.hist(samples, 100, normed=True, facecolor='green', alpha=0.75)\n",
    "    # Histogram for hashed samples.\n",
    "    ax2.hist(hashed_samples, 100, normed=True, facecolor='blue', alpha=0.75)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "SAMPLE_SIZE = 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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SP5nXwDCzW8zshJl928zu6rDPvWZ20symzGz7csea2afM7O/r+3/JzDbVt19nZj82s+P1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\nVZ47MMzMzMzMzMys8v4fe+QaKlH7fagAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bbeee80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare normal distribution samples with hashed.\n",
    "MU = 100\n",
    "samples = (np.random.randn(SAMPLE_SIZE) * MU)\n",
    "convert_and_compare_samples(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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G+9l4T/7tyZ7jK6P9Tu9/r8vZ/p44eaLt/T92x7G2bXrNf3Z5reMhu/2mzZva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\nhyRJkiRJasOBDkmSJEmS1Mb/AdAParAYQWdfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bbeedd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare uniform distribution samples with hashed.\n",
    "samples = np.random.uniform(0, 800, size=SAMPLE_SIZE)\n",
    "convert_and_compare_samples(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8SUlPbqa/AFCtHlKStH8LTS4RTDpWYCBEep8a8kW849UWakqSRJW9lbVXcjYZ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\nBs8BDEmSJEmSNHgOYEiSJEmSpMH7PzRt/ppzLm0RAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bed6c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare binomial distribution samples with hashed.\n",
    "N, P = 60000, 0.5\n",
    "samples = np.random.binomial(N, P, size=SAMPLE_SIZE)\n",
    "convert_and_compare_samples(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AAAAAhMFEBXLHGrgYyCEOsoiBHIByYczHQA75SJITqlQm2l7V6mTH/ckhDmpU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\nhSRJkiRJ6o3/AGI4zS+5QusOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c7da9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare exponential distribution samples with hashed.\n",
    "samples = np.random.exponential(100, size=SAMPLE_SIZE)\n",
    "convert_and_compare_samples(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WDYwIop3HkfJGyipSFOn8V9ZyNBp7ybJzS+2JiY0cOXJ4aPsHHduURcpb5awa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\n/wMyJbO0yLgj/gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c685fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare Gamma distribution samples with hashed.\n",
    "samples = np.random.gamma(10000, size=SAMPLE_SIZE)\n",
    "convert_and_compare_samples(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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HI+N4ZBwvTxl3+74DxUUNi3ijeI2ZmppWkizWbZuY2KqZmUMDGlFro5jxqCHj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\nhSRJkiRJGjoOWEiSJEmSpKHzb65MJGlTNrWqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c7df6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare geometric distribution samples with hashed.\n",
    "samples = np.random.geometric(0.01, size=SAMPLE_SIZE)\n",
    "convert_and_compare_samples(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DjYoY+l86squGlHFHWWMOM9ttZk9IukLSn5nZf2695CslfcHM7pd0q6Qb3P3J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\nAkBYtpiptq/7E3ThpoURtWa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ttc3c7wIALI9eBO6D1Q/g1qSjAMCc9CIwOBMV\nAAAAwDBMVAAAAADDEFQAAAAAwxBUAAAAAMMQVAAAAADDEFQAAAAAwxBUAAAAAMM4Af0x06zckzBS\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bd54400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare logistic distribution samples with hashed.\n",
    "samples = np.random.logistic(0, 50, size=SAMPLE_SIZE)\n",
    "convert_and_compare_samples(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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l8s6mPXfddVfX8v33x/kWCdPV69/nvHb9jU79rlgou1HyDpOfZiKV\nd1rN0tLJUFdVTOL8VkWkrFI1azZsRhXPb6EDFe7+spkd0epdOrZI+pi7L5jZnas/9o+6+2NmdpuZ\nPSNpWdIdg/ZtPfWHtXrFxefMTJL+wt3fVWQWAAAAYNLy00xW162fVgMAkRReo8LdH5d0fW7dQ7nl\nI6Pu21p/3STbmIqqjZJtRtmyZlmm+t5697oLmWqazHWskWo2SLHylq0vF428KFLrisujuvwFxx/1\n2OYBSbdq9cuRw+5+etC+ZvZ2SX8gqS5pr7ufaq1/naQFSe1brvOlieL1+Wh5I11NIcU6v5GySu28\nca4urOL5LWMxTaBymitN1Y50D0qcu/vcjFoDAPGY2RZJxyS9TdK3JD1tZp9x9zMd29wqabe7X2dm\nb5H0oKSbhuz7ZUm/KukhrfeMu99QaDAAlZoeA1RF2e/ktGX4JqiKSHOtImWV1hdyTF2kvNH6MnlR\noBslnXX38+7+klZvXX4gt80BSR+XJHf/kqQrzWzHoH3d/avufla970o28p3KoojW56PlXVo6OZPj\ntqfHdD7yAxdFiHR+I2WVyCutf11N4zW1EVxRAQCbVPTUHwAj2Snp2Y7lC1odgBi2zc4R9+1ll5md\nkvS3kn7f3b+40UYDQKded8Up2zfdwDQwUJGQKs49Gtc0szYONpQtZl3rpv1HaKSaDVL18m5m6k+k\n161EXpTOZq6I+JakOXdfMrMbJD1iZm909+cn1LZKitbno+WlRkXxet0VZxrFVaP1ZWpUlB8DFcAQ\n2WJG/QkAKL9FSXMdy1e11uW3ubrHNleMsG+X1hSRpdb/nzKzr0v6eUmnem1/+PBh7dq1S5K0bds2\n7dmzp+s2tsvLl6e8LS2d1MrKj7uWO7WX2380ti/p7Xy+QcvLy0tdt5lcWuo+fr/9+7Vn2PHy7V1Z\n+fG64+fzjtOefr+PYcdfXl7qunXfRs/HRvPnj1f0+Shb/o32117t2cjxi1ieZHvy57/X62OU/jDq\nctXOx7ivj3F/H+O8Pgf9Pjb6/j2sPZP+/W60P2z2fBw9elSnT59e+/dwEAYqEtLZiVMXKau0WrOh\nalcZbEakvNH6MnlRoKclXdu6G8e3JR2SdHtum0clvVvSJ83sJkk/dPdLZva9EfaVOq7AMLPXSvqB\nu6+Y2TWSrpXUdxT74Ycf7tvwffv2aevWy+9527fv05Ytr+5a7pRfzvexYctbt27veo7t2/fphRe2\n993+8vL9Xce/ePH+ddv36vP59m7Z8up1x8/nHac9/bYfdvytW7d37TPq+bh48f6eeYcdP3+8Is9H\nr+NvJn/nHyj9jjfs+Bvtr73a0+v46wtu3t9zysRGjt/v/I7SnlGPlz//vV4fo/WH0ZY7nzvLzuud\n71xt9/LyXdq6dfu631nR+Yt7vxq83P4DehKvz16/j1GXN/p+sZm8+/bt2/Trc7Pn46677upavv/+\n/le1MFABAAAqz91fNrMjkp7Q5VuMLpjZnas/9o+6+2NmdpuZPaPV25PeMWhfSTKzg5I+LOm1kj5r\nZqfd/VZJb5X0PjN7UdKKpDvd/YfTTV2cXndZyLJF1Si9g5JqFwbsXlf8lIkq65xm0h6E4neGsmCg\nIiH5EauURcoqVa9mw2ZFyhutL5MXRXL3xyVdn1v3UG75yKj7ttY/IumRHus/LenTm2lvmfX6o+/c\nud1D94vW56PlpUZFumKeW2pUlNmWWTcAAAAAAACgjYGKhOSLK6VsnKyNgw3V99a7Ho2Djck3rgBL\nC0vDN0pIpLyRXrcSeYHURevz0fLmCwNWTaNxSPX6/q5Ho3Go7/aRzm/Vz+1GRTq30vh586+ZLBtY\nZ3qimPqBMHrdvSM7ls2oNQAAAJgm6lgAG5N/zYwyBXBSuKIiIVWcezSuSFmlWDUbpFh5o/Vl8gJp\ni9bno+WNWccgBs5t2qqYl4EKAAAAAABQGgxUJCTSXKtIWaVYNRukWHmj9WXyAmmL1uej5aWOQbqm\ncW7z9Q4G1QcpWqRzK1UzLzUqAAAAgKCy7Lzq9f25dYuq1frsAIwpX++A+iAYhIGKhFRx7tG4ImWV\nYtVskGLljdaXyQukLVqfTyFvs2nrCkz2K5hHHYN0xTy398+6GVNTxb7MQAUAAAAAAFOUv5qJK5m6\nUaMiIVWcezSuSFmlWDUbpFh5o/Vl8gJpi9bno+WlRkW62ue2/cdzGepIFKkM57Z9NVP70Wy+XNix\nypB3o7iiAgAAAAAqotE4pCy71LVubm6H5uePb/q581OBqCOBSejXZwdhoCIhVZx7NK6isjYONpQt\nZl3rsguZaprtdViRajZIsfJGet1K5AVSF63PR8sbs47B7PWaInDjjV/LbbO5AYWY5zZOjYr3v/9B\nvfOd3XmnOdUkX0h1dd3gPstABdAhW8xUO9L9ij1397kZtQYAAADjSqUGQP4qh37FTqum1x1nJnVl\nCLr1Gigoez+iRkVCqjj3aFyRskqxajZIsfJG68vkBdIWrc9Hy1u1GhWbrQEQ6fzO4tzmz0+tdmLd\n9ICiRDq3krS8XL3P1lxRAQAAAAB95OfXV/XKDKBKGKhISFnm0U1DpKxSrJoNUqy80foyeYG0Revz\n0fLGrGOw/rL5sl8yP46Y5zZOjYqtW6v32ZqBCgAAAABAeKnUNUkBNSoSEmmuVaSsUqyaDVKsvNH6\nMnmBtBXZ5xuNQ6rX9689smyxsGONKtprfLN1DNp/BHY+Go1Dk2lcASKd36rVH9msfud2s3VNyooa\nFQAAAEABIlx+n7r83Sukzd9WE0CaGKhISKR5kpGySrFqNkix8kbry+QF0hatz0fLG7OOQQwxzy01\nKjr1ul3sLKe+MFABAAAAAEBgva54muWVa9SoSEikeXSRskqxajZIsfJG68vkBdIWrc+XKW+v+g+T\nruNBHYN0cW7TRo0KAAAAAFNXtm9DAWAzuKIiIZHm0UXKKsWq2SDFyhutL5MXSFu0Ph8tb8w6BjFw\nbtM2So2KsmGgAgAAAAAAlAYDFQmJNNcqUlYpVs0GKVbeaH2ZvEDaovX5aHmpY5CuCOe20Ti0Vr9l\nbm7PxGu4lBk1KoASaRxsKFvM1pazC5lq6r6/TpZlqu+tD9wGAAAA5ZK/leIsb6OYsrLdsnIzsuzS\nWh2XpaWTunTpv5txizAIAxUJiTTXapSs2WKm2pHL76Ln7j63bpvmSnPoNmUQqWaDFCtvpNetRF5g\nFhqNQ8qyS2vLRf6REa3PR8tbpjoG+eKhRRQOjXR++53bVIu0lqkvT0MVa1QwUAEAAJCwzm8RpTT+\nyAAApI0aFQmJNI8uUlYpVs0GKVbeaH2ZvEDaovX5aHkj1DHoFOn8Rju30fJSowIAMLIsy/SOO9+h\nra/ZKkma2zmn+UfmZ9wqAAAAYLYYqEhIpHl0kbJKsWo2SHHyNlea2v27ly/Bzo5lA7ZOQ7TXbrS8\nQLQ+Hy1vtHn9kc5vtHMbLS81KgAAAAAAmJJ8wWBJmpvbofn54zNqUSz5O8NM6ndPjYqERJpHFymr\nFKtmgxQrb6SsUrzXbrS8s2Zmt5jZGTP7mpnd02ebB8zsrJmdNrM9w/Y1s7eb2V+b2ctmdkPuue5t\nPdeCmf1SccmqI1qfj5Y32rz+SOe3yue2XTC485EfuMirct5xFFmjon1nmFF/96NioAIAAFSemW2R\ndExSQ9KbJN1uZm/IbXOrpN3ufp2kOyU9OMK+X5b0q5K+kHuuuqRfk1SXdKukj5iZFZMOAIBYGKhI\nSKR5dJGySnFqNrRFyhspqxTvtRst74zdKOmsu59395ckHZd0ILfNAUkflyR3/5KkK81sx6B93f2r\n7n5WUn4Q4oCk4+7edPdvSjrbep7QovX5aHmjzeuPdH6jndtoeatYo4KBCgAAkIKdkp7tWL7QWjfK\nNqPsO+x4iyPsAwAARsBARUIizaOLlFWKV8cgUt5IWaV4r91oeSuIqRoTFq3PR8sbbV5/pPMb7dxG\ny1tkjYqicNcPAACQgkVJcx3LV7XW5be5usc2V4ywb6/j9Xqung4fPqxdu3ZJkrZt26Y9e/asXVZ+\n8uTJrg+RS0sntbLy467lTu3l9qXL7T+mOp+vc3l5eUlLSyfXtl9Z+XHX8tJS9/F7tafX8Tu3H3T8\nfHt7HT+fN9+eQccf9vsYdvzl5SWdPHly7POx0fz54+XPT7/8+efv15788YblH+V8TDL/sN9Hr+fb\nSH8cdrxJHH8zv49xXp/TOB9t4/SPSRx/M6+PQf2j3/Hz22/k9bGZ98si+ucoy+Mef5z+MOj9+9ln\nj+r550/rVa/apeef/4YGYaAiIZHm0eWzNg42lC1mXeuyC5lqqk2xVcWJVscgUt5IWaVY71NSvLwz\n9rSka83sdZK+LemQpNtz2zwq6d2SPmlmN0n6obtfMrPvjbCv1H0FxqOS/szM/kSrUz6ulfRUv8Y9\n/PDDfRu+b9++rvnD27fv05Ytr+5a7pRfzvez/PLWrdu79tmy5dVdy9u379MLL1w+fq/29Dr+xYv3\nrzterz6f37/X8fN58+1Zdf/A9vRrw7Djb926fV2GUc7HxYv398w77Pj54+XPT//8+eXRfh/D8o9y\nPtrLndv1Ov+9loe1p9fvP/98o/THcZcHHb/9/6P2h37tH7Q8yuuz3/kY5/hF9I9JHn+c10ev/tGv\nPZPIP8775bjLo7w+Rllut3Ea7xeD3r+vvvqutZ9dvPgFff/759UPAxVIQraYqXake1Di3N3nZtQa\nYDxZlqm+t9617rvf+a5+9ud+dm15buec5h+Zn3bTgNJz95fN7IikJ7Q6tfVj7r5gZneu/tg/6u6P\nmdltZvaMpGVJdwzaV5LM7KCkD0t6raTPmtlpd7/V3b9iZp+S9BVJL0l6l7v7lGMDAJAkalQkJNI8\nukhZpXh1DCLl7czaXGmqdqTW9fi7H/1d13L+yqGqifbajZZ31tz9cXe/3t2vc/cPtNY95O4f7djm\niLtf6+5vdvdTg/ZtrX/E3a9291e7+3/k7rd2/Oz9reequ/sT08o5SKNxSPX6/q5Hlg2bxTI50fp8\ntLzR5vVHOr/Rzm20vNSoAAAAwMxk2SXVaie61p07t3tGrQEAbEaWnVe9vr9r3dzcDs3PH59Ri6aH\ngYqERJoLHSmrFK+OQaS8kbJK8V670fIC0fp8tLz5+eupi3R+o53bquRtNm3d4HOW7e+zdX+ddTSq\ngoEKAAAAAAAS0WgcUpZdWlvOskXVKnaPAWpUJCTSPLpIWaVYNRukWHkjZZXivXaj5QWi9floeaPN\n6490fqOd29TztqcBth8vvvj8rJu0YVxRgUp6z3vfo+dfuPyCS+lWpACA9Hz2s59d+/9rrrlGb3zj\nG2fYmvLrNS+7it8IAgDGw0BFQiLNo3v+hee7bkea+q1Io9UxiJR3ElkbBxvr7gZS1tuYRnqfkuLl\nRX+/+7tnJEnN5rKuvvqTmp//NzNuUTEm1ed7zcsepShofoCj6MGNaK/xqszrn5RI5zfauY2Wd8uW\nV8+6CRvGQAUAVFy2mHUN3ElSdqzatzEFUvP3//7dkqSf/OSCVlbunXFr0pUf4OCOJyiTfN0AiSuF\ngH6oUZGQSPPolp9bnnUTpipaHYNIeSNllWK9T0nx8gLR+ny0vKnP68+b9PnN1w2o1U6o2Xx5oscY\nV7RzGy3vysqPZ92EDSt8oMLMbjGzM2b2NTO7p882D5jZWTM7bWZ7hu1rZm83s782s5fN7IaiMwAA\nAAAAgOkodKDCzLZIOiapIelNkm43szfktrlV0m53v07SnZIeHGHfL0v6VUlfKLL9VRNpHt3W12yd\ndROmKlLNBilW3khZpVjvU1K8vEC0Ph8tb7R5/ZHOb7RzGy0vNSrWu1HSWXc/L0lmdlzSAUlnOrY5\nIOnjkuTuXzKzK81sh6TX99vX3b/aWmcFtx8AAKC0pl08EkgddSSAcih66sdOSc92LF9orRtlm1H2\nRYdI8ySpUZG2SHkjZZVivU9J8fJi+trFI8sy3z1an4+WN8K8/s46Eq985X2leF1NQ4Rz2yla3irW\nqCjjXT+4SgIAAABAZXFlBrA5RQ9ULEqa61i+qrUuv83VPba5YoR9hzp8+LB27dolSdq2bZv27Nmz\nNt+sPQqeynJ7XVnaU+Ty1tdsXfsmuj3HP7+88uKKlhaW+i4vLSxp5cUVtfVa7jTseEUef3t9+0yP\nP+38nXnHbU9R+Sd9/EHtGXT8/Osjf/zl55bDvB+wPHz56NGjOn369Nq/h0BRqjinPz99ZnXdaH9Q\nVjHvZkSb17+ZvO0rMzqV+Xa5nNu0UaNivaclXWtmr5P0bUmHJN2e2+ZRSe+W9Ekzu0nSD939kpl9\nb4R9pSFXYDz88MN9f5b/x4Xlai3nixDml7dcsaVrXX55e327tlyxZeDyRo7H8Tn+NI7/1L9+SvW9\n9a6fZRcy3Vi/sWvd1tds7XrNzPr1yvJsl++6666u5fvvv18AVrWnz3Qq8x+UqeNKBABSwTUq3P1l\nSUckPSHpbyQdd/cFM7vTzH6ztc1jkr5hZs9IekjSuwbtK0lmdtDMnpV0k6TPmtm/LzJHVUSaJ0mN\nirRFyrvRrM2VpmpHal2PZrNZUOsmL9L7lBQvLxCtz0fLO415/Z01ImZdeyVSHYNIWaV4ealR0YO7\nPy7p+ty6h3LLR0bdt7X+EUmPTLCZAAAAAACgBAq9ogLTFWme5NbXbJ11E6YqPw0gdZHyRsoqxXqf\nkuLlBaL1+Wh5o83rj5Q3UlYpXt4q1qhgoAIAAAAAAJQGAxUJiTRPkhoVaYuUN1JWKdb7lBQvLxCt\nz0fLG21ef6S8kbJK8fJSowIAAADARHEnjPLL3+aW8wNsDgMVCYk0T5IaFWmLlLeorFmWdd3GdG7n\nnOYfmS/kWBsR6X1KipcXiNbnp5W3fSeMTrO4hWq0ef0byZu/zW3VbnHLuU1bFWtUMFABAAlq38a0\nLTuWzbA1AJCe/DfokjQ3t0Pz88dn1KJq4koEYGPyr5lU33eoUZGQSPMkqVGRtkh5I2WVYr1PSfHy\nApH6fLNpeuUr71OtdmLtkZ+ekZoi5vW3r0RoP5rNlyd+jHFFqmMQKatU7bz518wo7ztVrFHBQAUA\nAAAAACgNBioSEmleKDUq0hYpb6SsUqz3KSleXiBan482z5286YqUVYqXt4o1KhioAAAAAAAApcFA\nRUIizQulRkXaIuWNlFWK9T4lxcsLROvzVZ7nPg7ypiu1rO2Ck52PLFtc+3lqeYepYo0K7vqB0msc\nbChb7L5jwXe++x3tVrVu+wQAAACgePnbxUrVu2VsdAxUJCTVeaHZYtZ1m0VJOnf3uRm1Zjai1TGI\nlGXhLRoAABYOSURBVHeWWfODgHM75zT/yHyhx0z1faqfaHmBaH0+2jx38qYrUlYpXt4q1qhgoAKl\nk//jKbuQqSZuqA1MWn4QMDuWDdgaAAAAmA5qVCQklXmh7T+e2o9ms7lum5UXV2bQstmJVscgUt5I\nWaV03qdGFS0vEK3PR5vnTt50RcoqxctbxRoVDFQAAAAAAIDSYKAiIZHmhW65IlbXjVSzQYqVN1JW\nKdb7lBQv76yZ2S1mdsbMvmZm9/TZ5gEzO2tmp81sz7B9zWy7mT1hZl81s3kzu7K1/nVm9iMzO9V6\nfKT4hOUXrc9Hm+dO3nRFyirFy0uNCmCDet3Rg5oUwGxkWab63nrXumkU2AQmwcy2SDom6W2SviXp\naTP7jLuf6djmVkm73f06M3uLpAcl3TRk39+R9Hl3/2BrAOPe1jpJesbdb5hWRpRf+5aIl5cXVeMj\nDQBsWKyvpRNXxXmh+XoU/WpS5FGjIm2R8pYpa3Olue71mB9I3Kwqvk9tRrS8M3ajpLPuft7dX5J0\nXNKB3DYHJH1cktz9S5KuNLMdQ/Y9IOlPW///p5IOdjyfFZKkwqL1+fw89/YtEduPZvPl2TSsINHm\n9Vcpb3uQrP1oNA5taP8qZZ2EaHmrWKOCKyoAAEAKdkp6tmP5glYHIIZts3PIvjvc/ZIkuftFM/u5\nju12mdkpSX8r6ffd/YubTgEAY2gPkrVl2f4BW5cXVyWhjYGKhESaF0qNirRFyhspqxTrfUqKl7eC\nxrkiwlv//bakOXdfMrMbJD1iZm909+cn17zqidbno81zJ2+6ypI1P+By7tzuQo5TlrzTQo0KAACA\n2ViUNNexfFVrXX6bq3tsc8WAfS+a2Q53v2RmNUnfkSR3f1HSi63/P2VmX5f085JO9WrcwsJhvepV\nu9RsPqef/umv6OTJk2t/1J88eVLLy5engS0tney6TDd/iXJ7uf1Be9jyysqPtbR0su/y0lL38Xu1\np9fxO7eX1JWnc3lYe3rlHSV/fnmSv49x2jPq8ZeXl7rO//Ly0kTPx7Tyt7/5bretXn+D5uePDz3/\nk2jPZvKPcz6K7J9F9ce2aZ+Pjb4fTOv9qizvl5ttT6/ff749RR5/s+159tmjev7503rVq3bp+ee/\noUEYqEhI55ts6iLWqIj0zXukvNPK2qtQ5iwK10Z6n5Li5Z2xpyVda2av0+rVDock3Z7b5lFJ75b0\nSTO7SdIPWwMQ3xuw76OSDkv6I0n/raTPSJKZvVbSD9x9xcyukXStpHP9GlevPyxJ+slPLuhnfua7\nXf1i37592rr18vvA9u37ur79yn/zt9HlLVte3bUuv7x9+z698MLl4/dqT6/nv3jx/rXt23r1+WHt\n6ZV3kvnH+X2M2p7OD+yjHn/r1u1dv6OtW7evO/7Zs891Xf7+/e//SLt3j/b8RebvzNtvqsGw8z+J\n9mzk+TdzPtp5i+yfk+yPncu9Xp+Dtu/MOs756He8IvrDOO9X+eX8H+TTPv6oy6P8/vPtWXV/1/O1\nBxOm0T8Htefqq+9a+9nFi1/Q979/Xv0wUAEAAbQLZXY6d3ffv6mAynH3l83siKQntFos/GPuvmBm\nd67+2D/q7o+Z2W1m9oykZUl3DNq39dR/JOlTZvYbks5L+rXW+rdKep+ZvShpRdKd7v7DKcVF4qZ1\n+TsAlBUDFQmJ9K0dNSrSFilvpKxSrPcpKV7eWXP3xyVdn1v3UG75yKj7ttb/QNJ/0WP9pyV9ejPt\nTVG0Pp//9jF1KeYdVLwxxbz9RMoqxctLjQoAAAAAqAiuXgEmKz/4t7pu43dvifW1dOLKfu/yxsGG\n6nvrXY/sQjbWc0WsURFJpLyRskrlf5+atGh5gWh9Pl+oLnXkTVekrFK8vJ0FL4vWHvzrfDSbL2/4\nebiiAlOTLWbMkQcAAAAADMRARULKNi+0cbChbPHyFROTvMMANSrSFilv2bPm7xYyt3NO84/Mj/18\nZXufKlq0vEC0Ph9tnjt50xUpqxQvLzUqgA75Kyi4egKonvzdQrJj403XAgAAwORNqiZE2cT6Wjpx\nkeaFUqMibZHyRsoqxXqfkuLlBaL1+Wjz3Mmbriplbf9h3n5k2eKGn6NKeYcZpSbENGtUTApXVAAA\nNiU/zWuz00MAAAD64U4tMTBQkZBI80KpUZG2SHlTyJqf5jVoekik9ykpXl4gWp+PNs+dvOmKlFWK\nl7eKNSpi/bUHAAAAAABKjYGKhESaF0qNirRFyhspqxTrfUqKlxeI1udTmuc+CvKmK1JWKV5ealQg\nDOakAzHlb1cqTfbWwwAAAAADFQmZ5rzQjcxJLwI1KtIWKW/VsuZvVypt7NbD0eavR8uL0Zw69ZdJ\n3kpOitfno81zJ2+6ImWV4uWtYo0KBioAAACm6Cc/ebmrYr1E1XoAADrF+lo6cZHmhVKjIm2R8kbK\nKsV6n5Li5QWi9flo89zJm65IWaV4eatYo4KBCgAAAAAAUBpM/UhIpHmh1KhIW6S8kbJKsd6npHh5\ngWh9Pto8d/Kma7NZs+x8V+2dubkdmp8/vslWFSfSuZWoUQEAAIAg8n+YSOX/4wRAMZpN66q9k2X7\nB2wNDBfra+nEFTUvtHGwofreetcjuzDdu3zkUaMibZHyRsoqxZu/Hi0vYmn/YdL5WFg4M+tmTVW0\nee7kTVekrFK8vFWsUcEVFRgqfytSaWO3IwQAAAAAYFQMVCQk0rxQalSkLVLeFLNmWab63nrXurmd\nc5p/ZD7U+5QU630ZkKStW9N7Txsk2jx38qYrUlYpXl5qVCCsXn+YZBcy1VTrsweAVDVXmuuuwsqO\nzXa6GAAAAKoj1tfSiZvlXOj2Hyadj2azWdjxqFGRtkh5I2WV4tVsiJYXWF6O9Z42zjz3dhHS9iPL\nFiffsIJEm9df5bz5fjasr1U56zii5aVGBSqncbChbLH7m87vfue7+tmf+9m1Za6MAAAAmIz83RHO\nnds9w9YgVfl+JtHXUC0MVCRknLnQ/Qpl/sKRX+haLhtqVKQtUt4oWQfVrUgZNSoQDTUq0kbedEXK\nKsXLS40KAAB6oG4FAAAARhXra+nERZoLTY2KtEXKGymrFC9vpPdlQKJGRerIm65IWaV4ealRAQDA\niPLTQfL1caQY00MAAADQjYGKhESaC02NirRFyhspq9SdNz8dJF8fR6r+9JBI78uARI2K1JE3XZGy\nSvHyUqMCpZK/o0evbyu5owcAAAAAoExifS2duPxc6PYdPdqPv/vR33Ut147U1Gw2Z9PYTaJGRdoi\n5Y2UVdp43vb0kPajcbBRUMuKQY0KREONirSRN12Tzppl51Wv7+96ZNniRI+xGZHOrUSNCkxI/koI\n5mgDiCo/PaTqU0EAAIig2TTVaie61p07t3tGrUEVMVBRQu0rIdq++E+/2FVwTuo9eBFpLjQ1KtIW\nKW+krNLs8uYHgKXpDAJHel8GJGpUpI686YqUVYqXlxoVKET+G0WJbxUBYCPyA8AS76MAMEntS/27\n1y2qRik0AGMo/GtpM7vFzM6Y2dfM7J4+2zxgZmfN7LSZ7Rm2r5ltN7MnzOyrZjZvZlcWnaNs8vO2\nX/u612ru+rmuddmFdD+EU6MibZHyRsoqTSdv42Cj672w3/vhNOpfUKNiuqb9mcPM7m0914KZ/VKx\n6aqBGhVpG5S3fal/56PZfHl6jStApPMbKasULy81KnLMbIukY5LeJulbkp42s8+4+5mObW6VtNvd\nrzOzt0h6UNJNQ/b9HUmfd/cPtj5M3NtaF0av2/pt+0+3qdboXpeqlWasgYrns+dDTRH4/9u79xg7\nyjqM49+HlqKlWorSYlpaqgWxWqwVCklBEIQgJBQTL6ARijFigGAgXgAxSDSG+ofEIAkhXAWhLUrs\nqgQrAYK3XqBdeq8FUigtLW2g1RZa2e7PP+bdejicbXe3u+fyzvNJNjvz7sye9zln9vTXd96ZU6a8\nZcoK9clba/ZErffD6vfRnlxm19tLSNrb2335R53Uu+aQNBH4MvAxYAzwuKRjIiLqFroJ7dq1o9Fd\nqKsdO9pLNYXcefNVpqxQ5C2Tzs7dje5Crw30pR9TgbUR8RKApFnAdGB1xTbTgV8DRMQCScMljQLG\n72Pf6cBpaf/7gKfoZqBizpw5e5dHjhzZdAVjraK3rx8Z2vFma36CR5+UrAws1WtLufKWKSs0d96e\nXGbX20tItm3b1n8dtP2pd81xPjArIjqAdZLWpj4sGMiQA6V62n5fp+x3djbv3/hA6Ogo19+48+ar\nTFnhwPL21/tlfbXeSd6BHqgYDayvWH+F4h/x/W0zej/7joqIzQARsUnSyO46cNOjN+1d7lzRyfL5\nyxk0aFCvQtQaTNjy2haOGHnE3vVaZ9Sq96veB4pBiak3v/MpyXkmhJnZgei6XKNS9XtrXwd7+6tP\n/qSmhql3zTEa+GfFPhtSW0uqvkN/X+/Ov3379hYs4M3Meq6/3i9t35rxZprqwz7dnl8fsnPI3uXO\nwT0bSaoeYOhuMGHSlZP2rteaMly9X/U+XW39ZdfWXf32u5pd7CnXlIoyvbZQrrxlygoHnrfWrIfq\n99b+fF+tHoSoNQiyr0tINr64kdl/mt2jweyBHOCoNeBuQD/XHPuybdv1AHR0vIXUl4dtDXv2dJSq\ngN+1a12ju1BXzpuvMmWF8uUtJv+1Fg3kpZSSTgZ+HBHnpPVrgYiImRXb3A48GRGz0/pqiimW47vb\nV9Iq4PSI2CzpyLT/O0cJin3K9b9ZMzOzHoqIrP63XO+ao/r3S3oMuDEi3nXph+sRMzOz2rqrRwZ6\nRsUiYIKkccCrwIXARVXbtAFXALNTkbEtFQNb97FvGzADmAlcAsyt9eC5FWFmZmbWrXrXHG3AbyTd\nQnHJxwRgYa2OuR4xMzPrnQEdqIiIPZKuBOZRfBTqXRGxStJlxY/jjoh4VNK5kp4HdgKX7mvf9Ktn\nAnMkfQN4ieKu22ZmZlZS9a45ImKlpDnASuBt4PKyf+KHmZlZfxnQSz/MzMzMzMzMzHrjoEZ3YCBI\nOkfSakn/Sp953vIk3SVps6SlFW0jJM2TtEbSnyUNr/jZdZLWSlol6ezG9LpvJI2R9ISkFZKWSboq\nteea9xBJCyQtSZl/ltqzzNtF0kGSFktqS+vZ5pW0TtJz6TVemNqyzJs+7vHh1PcVkk7KOOux6TVd\nnL5vl3RVrnmt91yPtPYx73ok/3rEtUjWeV2PtHreiMjqi2Lw5XlgHHAw0A4c1+h+9UOuU4DJwNKK\ntpnA99PyD4Cb0/JEYAnFpT1Hp+dDjc7Qi6xHApPT8jBgDXBcrnlThqHp+yBgPjAt57wpx9XAA0Bb\nWs82L/AiMKKqLcu8wL3ApWl5MDA816xVuQ8CNgJHlSGvv3p8TLgeaeFjHtcj2dcjuBbJOe+9uB5p\n6bw5zqiYCqyNiJci4m1gFjC9wX06YBHxN+CNqubpwH1p+T7ggrR8PjArIjoiYh2wlnd/lnzTiohN\nEdGelncAq4AxZJoXICLeTIuHULzBvEHGeSWNAc4F7qxozjYvxUcgVr/fZpdX0vuBUyPiHoCUYTsZ\nZq3hc8ALEbGecuS1/XM90uLHvOuRvOsR1yJApnldj+RRj+Q4UDEaWF+x/kpqy9HIiNgMxT+mwMjU\nXv0cbKBFnwNJR1OcuZkPjMo1b5p6uATYBDwVESvJOC9wC/A9oPImOTnnDeAvkhZJ+mZqyzHveGCr\npHvS9MM7JA0lz6zVvgI8mJbLkNf2z/VIRse865Es87oWyTev65FCS+fNcaCizLK6M6qkYcBvge+k\nMxnV+bLJGxGdEfEpijM1p0o6nUzzSjoP2JzOUu3rI/uyyJtMi4gpFGdurpB0Knm+voOBKcBtKe9O\n4FryzLqXpIMpzk48nJqyzmvWA1kd865H8svrWiTrWgRcj2RRj+Q4ULEBGFuxPia15WizpFEAko4E\nXkvtGyiuS+rScs+BpMEURcH9EdH1mfXZ5u0SEf8GHgVOIN+804DzJb0IPAScIel+YFOmeYmIV9P3\nLcDvKabX5fj6vgKsj4hn0vrvKAqFHLNW+jzwbERsTeu557WecT2SwTHveiTbesS1SL61CLgeyaIe\nyXGgYhEwQdI4SUOAC4G2Bvepv4h3jvq2ATPS8iXA3Ir2CyUNkTQemAAsrFcn+8ndwMqI+GVFW5Z5\nJX2w6y68kt4LnEVxg5ss80bE9RExNiI+TPH3+UREfB34AxnmlTQ0nY1D0qHA2cAyMnx90/TC9ZKO\nTU1nAivIMGuViygK3S6557WecT2SxzHveiTDvK5F8q1FwPVIxXpr5+3t3Tdb4Qs4h+LOzGuBaxvd\nn37K9CDFHVx3Ay8DlwIjgMdT1nnAYRXbX0dxB9dVwNmN7n8vs04D9lDcIX0JsDi9podnmndSyrgE\neA74bmrPMm9V9tP4/522s8xLcZ1k17G8rOs9KeO8n6T4D1o78AjFXbazzJr6PxTYAryvoi3bvP7q\n9fHheqSFj3nXI+WoR1yL5Jc39d/1SIvnVeqomZmZmZmZmVnD5Xjph5mZmZmZmZm1KA9UmJmZmZmZ\nmVnT8ECFmZmZmZmZmTUND1SYmZmZmZmZWdPwQIWZmZmZmZmZNQ0PVJiZmZmZmZlZ0/BAhZl1S9IP\nJS2X9JykxZJOHMDHelLSlIH6/WZmZtZ6XIuYldPgRnfAzJqTpJOBc4HJEdEh6XBgSIO7ZWZmZiXh\nWsSsvDyjwsy68yFga0R0AETE6xGxSdKPJC2QtFTS7V0bp7MQv5C0SNJKSSdKekTSGkk/SduMk7RK\n0gNpmzmS3lP9wJLOkvQPSc9Imi1paGq/OZ1VaZf08zo9D2ZmZtYYrkXMSsoDFWbWnXnAWEmrJd0m\n6TOp/daIOCkijgeGSjqvYp/dEXEicDswF/g2MAmYIWlE2uajwK8iYiLwH+DyygeV9AHgBuDMiDgB\neBa4Jp1FuSAiPhERk4GfDkhqMzMzaxauRcxKygMVZlZTROwEpgDfArYAsyRdDJwhab6kpcBngY9X\n7NaWvi8DlkXEaxHxX+AF4Kj0s5cjYn5afgA4peqhTwYmAn+XtAS4GBgLbAfeknSnpC8Ab/VjXDMz\nM2syrkXMysv3qDCzbkVEAE8DT0taBlxGcVbi0xGxUdKNQOV0yd3pe2fFMkDQ/ftNVK0LmBcRX6ve\nUNJU4EzgS8CVadnMzMwy5VrErJw8o8LMapJ0rKQJFU2TgdVp+XVJw4Av9uFXj5V0Ulr+KvDXqp/P\nB6ZJ+kjqx1BJx0g6FDgsIh4DrgGO78Njm5mZWYtwLWJWXp5RYWbdGQbcKmk40AE8TzH1cjuwHHgV\nWFixffXZCLr52RrgCkn3ACsoriHdu01EbJU0A3hI0iGp/QaKa0jnVtzw6uq+RzMzM7MW4FrErKRU\nzKYyMxt4ksYBf4yISY3ui5mZmZWPaxGz1uBLP8ys3jw6amZmZo3kWsSsyXlGhZmZmZmZmZk1Dc+o\nMDMzMzMzM7Om4YEKMzMzMzMzM2saHqgwMzMzMzMzs6bhgQozMzMzMzMzaxoeqDAzMzMzMzOzpuGB\nCjMzMzMzMzNrGv8DyCeunA12UnsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c6dd860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare Poisson distribution samples with hashed.\n",
    "samples = np.random.poisson(lam=10000, size=SAMPLE_SIZE)\n",
    "\n",
    "convert_and_compare_samples(samples)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}