bachelorThesis/figure_7/figure_7.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import json\n",
    "import sys\n",
    "import glob\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "DIR = \"/Users/maggicl/Git/bachelorThesis/figure_7/\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tier(p):\n",
    "    if p <= 99:\n",
    "        return \"Free\"\n",
    "    elif p <= 115:\n",
    "        return \"Best effort\"\n",
    "    elif p <= 119:\n",
    "        return \"Mid\"\n",
    "    elif p <= 359:\n",
    "        return \"Production\"\n",
    "    else:\n",
    "        return \"Monitoring\"\n",
    "\n",
    "def categorical_plot(df, key, title, sorted_xs = None):    \n",
    "    if sorted_xs == None:\n",
    "        xs = set()\n",
    "        lines = []\n",
    "        for t in [4,5,6,7]:\n",
    "            xs = xs.union(np.array(df[df[\"term\"] == t][key]).reshape(-1))\n",
    "        xs = [str(x) for x in sorted(xs)]\n",
    "    else:\n",
    "        xs = sorted_xs\n",
    "        \n",
    "    plt.figure(figsize=(4,3))\n",
    "    ax = plt.gca()\n",
    "    lines = []\n",
    "    for t in [4,5,6,7]:\n",
    "        ys = []\n",
    "        if xs[0] == \"-1\":\n",
    "            del xs[0]\n",
    "        for x in xs:\n",
    "            partsum = df[(df[\"term\"] != -1) & (df[key] == x)][\"count\"].sum().astype(int)\n",
    "            y = df[(df[\"term\"] == t) & (df[key] == x)][\"count\"]\n",
    "            ys.append(100 * ((y.values.astype(int)[0] / partsum if partsum > 0 else y.values.astype(int)[0]) if y.any()\n",
    "                             else 0))\n",
    "        lines.append(ax.plot(xs,ys, marker='.')[0])\n",
    "\n",
    "    if key == \"tier\":\n",
    "        plt.xlabel(\"Tier\")\n",
    "    elif key == \"exectime\":\n",
    "        plt.xlabel(\"Execution time\")\n",
    "    else:\n",
    "        plt.xlabel(\"Machine concurrency\")\n",
    "    \n",
    "    plt.ylabel(\"Event rate [%]\")\n",
    "    plt.xticks(xs)\n",
    "    lgd = plt.legend(lines, [\"EVICT\", \"FAIL\", \"FINISH\", \"KILL\"], loc=\"best\",\n",
    "              bbox_to_anchor=(1,1))\n",
    "    plt.title(title) \n",
    "    plt.savefig('../report/figures/figure_7/%s-%s.pgf' % \n",
    "                (key.replace(\"_\", \"\"), cluster), bbox_extra_artists=(lgd,), bbox_inches='tight')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAADgCAYAAACkXmWVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAA72UlEQVR4nO3dd3hUVfrA8e87M+mEFAKhJPSO9KIouogNAdG1Ylk7rCsKlrXrbxXX1XXVBdfCKnZZsSyK0lUsqxTpvUqHQID0hJTJnN8f9yaEmDJJZjJJeD/PM8/cueWcd4bhzZlzzz1XjDEopZSqXY5AB6CUUqciTb5KKRUAmnyVUioANPkqpVQAaPJVSqkA0OSrlFIBoMlXVYmIPCkiHwY6DqXqO02+6jdE5DoRWSEiWSKSJCLzRGSID8tvKyJGRFx+KDPLfhwWkdkicoGv6lDKlzT5qpOIyH3AZOBvQDzQGngNuDSAYZ2kkqQdbYxpBPQGvgY+F5GbayUwpapAk68qJiJRwCRgvDFmpjEm2xhTYIz5yhjzQBn7DxWR/aXW7RaR8+3lQXYLOsNuib5k7/aj/Zxmt1IH2/vfKiKbRSRVRBaISJsS5RoRGS8i24Htlb0XY8whY8wU4Eng7yKi33VVp+gXUpU0GAgFPvdReVOAKcaYxkAH4BN7/Tn2c7QxppExZomIXAo8ClwONAX+B3xUqrzLgNOB7lWIYSbQDOhSrXeglJ9o8lUlNQGOGmPcPiqvAOgoInHGmCxjzNIK9r0DeNYYs9mu/29An5KtX3t7ijHmeBViOGg/x1YtdKX8S5OvKukYEOfDE2G3AZ2BLSKyXERGVbBvG2CKiKSJSBqQAgjQqsQ++6oRQ9HxKdU4Vim/0eSrSloC5GH9vPdGNhBe9EJEnFhdBgAYY7YbY67F+tn/d+AzEYkAyppKbx/wR2NMdIlHmDFmcYl9qjMF3++BZGBrNY5Vym80+apixph04P+AV0XkMhEJF5EgEblYRJ4v45BtQKiIjBSRIOBxIKRoo4jcICJNjTEeIM1e7QGO2M/tS5Q1FXhERHrYx0aJyFXVfS8iEi8idwF/AR6xY1CqzvDZOEvVMBhjXhSRQ1iJdDqQCawEnilj33QRuROYBjiB54GSox+GAy+JSDiwBxhT1F8rIs8AP9tJe7gx5nMRaQTMsPt507GGin1axbeQJiKC1SpfAVxljJlfxTKU8jvRydSVUqr2abeDUkoFgCZfpZQKAE2+SikVAJp8lVIqAPyWfEXkbRFJFpENJdbFisjXIrLdfo6x14uIvCwiO0RknYj081dcSilVF/httIOInANkAe8bY06z1z0PpBhjnhORh4EYY8xDIjICuBsYgXXt/hRjzOmV1REXF2fatm3rl/iVUuVbuXLlUWNM08r3VOXx2zhfY8yPItK21OpLgaH28nvA98BD9vr3jfWXYKmIRItIC2NMUkV1tG3blhUrVvg0bqVU5URkT6BjqO9qu883vkRCPYQ1XyxY19+XvG5/Pydf019MRMbZ0xSuOHLkiP8iVUopPwrYCTe7lVvlPg9jzBvGmAHGmAFNm+qvHqVU/VTbyfewiLQAsJ+T7fUHgMQS+yXY65RSqkGq7bkdvgRuAp6zn2eVWH+XiMzAOuGWXll/r1INRc7q1eT8spzwQQMJ79s30OFU28qVK5u5XK5pwGnoMFYPsMHtdt/ev3//5LJ28FvyFZGPsE6uxdm3mvkLVtL9RERuw5po5Wp797lYIx12ADnALf6KS6m6JHv5cvbeehu43UhwMK3ffafeJmCXyzWtefPm3Zo2bZrqcDhO6UljPB6PHDlypPuhQ4emAaPL2sefox2uLWfTeWXsa4Dx/opFqbomf98+0j7+mJQPp0NBAQAmL4/0L2bV2+QLnKaJ1+JwOEzTpk3TDx06dFp5++iUkkrVEuN2k/XDD6R+NIPsn34Cp5Pwfn05vmYtprAQjCHt008JatGcJmPHIk5noEOuKocm3hPsz6Lc7hdNvkr5WcHhw6R9+hlpn36K+/BhXPHxxN11F9FXXUlQfHxxn2/oaT1In/k5RyZPIXvxElr+43mC4uMrr0AVczqd/Tt16lR8j7/LL788JS8vT3Jzcx2vvvpq8Un8xYsXh91www3td+7cubFVq1Y9V6xYsblFixbuvXv3uu68887Wa9euDW/cuHFhXFxcwXPPPXfglltuaQeQlJQU3KhRo8LIyMjC2NhY9+LFi7dVN1ZNvkr5gfF4yF6yhLQZH5O5aBEUFhIxZAjNn3icRkOHIq4T//XC+/Yt7mqIOPNMIoYM4dDTT7Nr9KW0ePZvRA4bFqi3Ue+EhIR4tmzZsqnkunXr1oWMGDGic8nk++GHH8ZefvnlJ93Xz+PxMHr06I7XXXfdsdmzZ+8EWLJkSVh6erqzqMwrrrii7ahRo9JvueWW1JrGqslXKR9yp6aSPvNzUj/5mII9e3HGxNDklpuJvvpqglu3rvR4ESH695cR1qc3B+//M/vvHE/MddfR7MEHcISG1sI7qF0/7Tga8fOOo5FndYzLHNIxLtsfdfTq1SsvKirKvWjRoohhw4ZlA3z55Zex8+bNO6nVOnv27EiXy2UefPDB4qu3Bg8eXJU7ZVeJJl8VEA1leBWAMYbjq9eQOuMjMucvwOTnE9a/P03vupvIiy7EERxc5TJD2rWjzYyPOPLPyaS88w45K1bQ6qUXCenY0Q/vwPce+Gxt4rZDmeEV7ZOd53b8ejQ73BiY+sOvdIiLyIkIcZV7r73OzSNz/nFl7wrvYJ2Xl+fo2rVr96LX999/f9LYsWNTr7jiipTp06fHDhs2LPvbb7+NiI6Odvfs2TOv5LHr1q0L6927d46377GmNPmqWpexaBEHJt5zYnjVO+8Q3q/+JeDCrCwyvvqK1I9mkLdtG46ICKKvvJLoMdcQ2rlzjct3BAcT/9CDRJw5mIMPP8KuK64k/pFHiL7maqzb1NVvWXluV9G8XsZYryNCXPk1KbOsbgeAG2+8MWXIkCHdCgsL902fPj32iiuuSCnr+NqkyVfVisK0NDIWLiRjzlxyli0rXm/y8th7++2E9+9PaPfuhPboTmj3HgS1allnE0zu5s2kzviYjK++wpOTQ0j3bjSf9BRRI0fiiIjweX2Nzj6b9rO+4ODDj3DoySfJ/vlnWjw9CWd0tM/r8pXKWqhgdTnc+u7yzu5Cj8PldHheuLrPTn91PXTs2LEgISEhb+7cuZFz586N+fnnnzeX3qdnz57Hv/jiixh/1F8WTb7KbzzZ2WQu+o6MOXPI+vlnKCgguE0boi6/nIzZszFuNzgchA8YgPvwYY4tXgyFhQA4oqII7d6N0O7dCevRg9Du3Qlq3RpxBObCKU9uLhnz5pM64yNy165DQkJoPHIkMWOuIbRnT7//oXDFxZH4xr9Jefc9kv/5T45f9nta/eN5wgcO9Gu9/jSkY1z22zcP3ObvPt8iV111VcoDDzyQmJiYmNehQ4eC0tsvueSSzCeeeEJeeOGFuD//+c9HAZYtWxaWmprqHD58eJav49Hkq3zKk59P9o8/kjF3LpmLvsPk5uJq3pzYG26g8ciRhPbobp1UuurK3/T5evLyyNu2jdyNm8jduJHcTZtIff8DUuyLEBwREYR260Zojx52C7k7we3a+XU8bN7OXaR9/DFpX3yBJz2d4PbtiX/0EaIuvRRnVJTf6i2LOBw0ufUWwgcN4sD997HnppuJu+MO4u7800mjJ+qTIR3jsn2ZdEv3+Q4bNiz9tddeOwBw4403pj722GOJf/vb38pslTscDr788stf77zzzsQpU6Y0DwkJMQkJCXn/+te/Km3FV0e9vnX8gAEDjM7nG3jG7SZ72TIy5swl8+uv8WRm4oyJIXL4RUSNHElYv37VbrGa/Hzyfv2V3E12Qt64idytWzG5uQBIWBihXbpYCdnutgjp0AEJCqr++ykoIPPbRaTOmEHO0qXgchF5wfnEjLmW8EED60R3SGFWNof/+lfSv/iCsH79aPWP5wlqVeYsrH4hIiuNMQNKrlu7du3u3r17H621IOqBtWvXxvXu3bttWds0+apqMR4
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAADgCAYAAACkXmWVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAx90lEQVR4nO3deXwU9f348dd7zyQQCIEQjgSCAqXKoYJ+QW1VrNaDqlXrVYtHq209ULzqUavF26oV7yIe4Ilaq4gHKqjlJyq3F6JYkEvCGQIk5Njd9++PmYVNyLEku9kc7+fjsY+d+cxnZt6zSd757GdmPiOqijHGmKblSXUAxhjTFlnyNcaYFLDka4wxKWDJ1xhjUsCSrzHGpIAlX2OMSQFLvmaPiMjNIvJsquMwpqWz5Gt2IyJnicg8EdkuImtF5G0ROTSB2y8QERURX7K3KSJPi8itidqPMYliyddUISJXAPcDtwO5QC/gEeDEFIZVRSKTtjGpYsnX7CQiHYFxwMWq+qqqlqhqpaq+oapX11D/cBFZXa3sBxH5hTt9kNuC3ioi60TkPrfaf933LW7reoRb/3wR+UZEikRkuoj0jtmuisjFIrIUWJqEwzemSVnyNbFGAGnAfxK0vfHAeFXtAOwNvOSW/9x9z1LV9qr6iYicCFwPnAzkALOAF6pt7yTg/4B9EhSfMSljydfE6gxsVNVQgrZXCfQVkS6qul1VP62j7p+AO1T1G3f/twP7xbZ+3eWbVXVHHdvZKCJboi/grEYfhTFJYMnXxNoEdElgn+rvgf7AEhGZKyKj6qjbGxgfkzQ3AwL0jKmzKo59dlHVrOgLeL5hoRuTXJZ8TaxPgHKcr/fxKAEyojMi4sXpMgBAVZeq6plAV+Au4BURaQfUNJTeKuCPsYlTVdNVdXZMHRuCz7QalnzNTqpaDPwNeFhEThKRDBHxi8ixInJ3Dat8B6SJyPEi4gf+CgSjC0XkbBHJUdUIsMUtjgAb3Pe9Yrb1GHCdiOzrrttRRH6T6GM0prmwS3ZMFap6r4gU4iTS54BtwHzgthrqFovIRcBEwAvcDcRe/XAMcJ+IZAArgDOi/bUichvwsZu0j1HV/4hIe+BFt5+3GHgPeDlJh2pMSokNpm6MMU3Puh2MMSYFLPkaY0wKWPI1xpgUsORrjDEpYMnXGGNSoEVfatalSxctKChIdRjGtDnz58/fqKo59dc0tWnRybegoIB58+alOgxj2hwRWZHqGFo663YwxpgUSFryFZEnRWS9iHwVU5YtIu+JyFL3vZNbLiLygIh8LyJfiMgByYrLGGOag2S2fJ/Gub001rXADFXtB8xw5wGOBfq5rwuBR5MYlzHGpFzS+nxV9b8iUlCt+ETgcHd6EvAh8Be3fLI69zp/KiJZItJdVdcmKz6TWqULF1I6Zy4ZBx1Ixv77pzockwDz58/v6vP5JgIDsS7NCPBVKBT6w9ChQ9fXVKGpT7jlxiTUQpxnhIEzZmvsWK2r3TJLvs2EqqIVFc6rvBwtLydSXoFWRKfL0eh8RcWu+fJytKK8ynzljz+ybeZMiETA66XLmEtpP3w4vtxu+Lp0RrzeVB+uaQCfzzexW7duP83JySnyeDxtetCYSCQiGzZs2KewsHAicEJNdVJ2tYOqqojs8Q9IRC7E6ZqgV69eCY+rOSudP5/ts/4faYMGkdavb9UE6CbF2CRYNQFGy2KSZ0XM8vJyIpUVVedjEq1WVDT+APx+PIEAGg5DOOyUhUJsvO+fbIzW8Xrxde2Kv2tXfN264e+W6yTl3K74u3XDl9sNf9ccJBBofDwm0QZa4nV4PB7NyckpLiwsHFhbnaZOvuui3Qki0h2INsfXAPkx9fLcst2o6gRgAsCwYcPazA+5+I03+PGav0AjRqGTYNB9BfAEgrvmA348gSDezA5IlyCeYAAJxNQNBhF/oOp89eUBZ1oC7rxb5gm66wUCO1u0pQsXsvK889HKSsTno9vNN+HtmEVo/ToqCwsJFa6jcl0h5UuXsn3WLLS0dLdj8XbujD83d1eC7pqLr1uum6Bz8efm4snI2G09k1QeS7y7uJ9Frd0vTZ18pwLnAHe676/HlF8iIi/iPCCx2Pp7d9n6znR+vP6GXYlXhMyjj6bDMb/cPcm5ic4TMy3BIOL3IyKpPRBXxv770+upJ+Pq81VVItu3EyospHLdekLrCncl6PXrqFyzhh3z5xMuLt5tXU+HDjsTtC+3K/7cbrsSdNdc/N1y8XTo0Gw+F9N4Xq93aL9+/XY+4+/kk0/eXF5eLmVlZZ6HH354Z4Nu9uzZ6WefffZey5Yt+7pnz56D5s2b90337t1DK1eu9F100UW9Pv/884wOHTqEu3TpUnnnnXeuOe+88/oArF27NtC+fftwZmZmODs7OzR79uzvGhpr0pKviLyAc3Kti/t48Ztwku5LIvJ7nMG1T3OrvwUcB3wPlALnJSuulkRDITbcfz+bJj5BoF8/KleuREMhxO8n+9xzWvSJqoz9948rfhHBm5mJNzOTYL9+tdaL7NhBaP16KgvXuQl6HaF1Tgs6VLiOsiXfEN64abdvDpKe7iTo3NxdXRzdct0yp1Xtzc5GPG39/FHLEAwGI0uWLFkcW/bFF18EjzvuuP6xyffZZ5/NPvnkkzfH1otEIpxwwgl9zzrrrE3Tpk1bBvDJJ5+kFxcXe6PbPOWUUwpGjRpVfN555xU1NtZkXu1wZi2LjqyhrgIXJyuWlihUVMSPV15JyexPyDrzDLpddx07vv7arhCohSc9nUDv3gR69661jlZWEtqwYVeCXrduZxdHqHAdpXPnUbl+PYSqPbzZ78efk1NjH3S4uJiKVavJPOJwMoYOTe5BtkL/7/uN7T7+fmPmIX27bDu0b5eSZOxj8ODB5R07dgzNnDmz3ciRI0sApk6dmv32229XabVOmzYt0+fz6TXXXLMhWjZixIi6npTdKC369uLWasdXX7N6zKWEN26i+223kXXKyUD8rUVTM/H78ffogb9Hj1rraCRCeNMmJ0FX64MOrVtP2deLqZz5AVpWVmW9zRMn4uvWjWC/fgTy8/Hn5xPIz3Pe8/LwtGuX7MNrVq5+5fP87wq31dnpXlIe8vxvY0mGKjz20f/Yu0u70nZBX6S2+v27ZZb+49QhdT7Bury83DNgwIB9ovNXXnnl2gsuuKDolFNO2fzcc89ljxw5smTGjBntsrKyQoMGDSqPXfeLL75IHzJkyO4nGJLEkm8zs+U/r1F40014O3em93PPkT6o1pOlJgnE48GXk4MvJwfnctXdqSqR4mI2PPwIRc8+63RliODJzCS8aRPFixYR2batyjrezp0J5LnJuFc+/rxdydnXtWub7NbYXh7yRXuBVJ35dkFfoy6rqanbAWD06NGbDz300J+Gw+FVzz33XPYpp5yyuab1m5Il32ZCKypYd+ddFD3/PBnDh9PzvnvxZWenOixTAxHBm5VFh+OOZcvLLztXbfj9dB/3953fTMLFxVSsXEXl6lVUrFpN5apVVKxaxY6FC9n61lvONc7R7QUC+PPy8OfnEchzk3N+Pv68PKfV3AKv2qivhQpOl8P5T8/tHwpHPD6vJ3LPafstS1bXQ9++fSvz8vLK33rrrcy33nqr08cff/xN9TqDBg3a8dprr3VKxv5rYsm3Gahct541l1/OjoULyf79+XQdOxbx2Y+muavrqg1vx46kD+pY4zcXraykcu3amOS8isqVq6hYvZod8+YTKamaf7w5XQjk5e9Mzv5e+U7XRl4+vpwuLbbVfGjfLiVPnnvgd8nu8436zW9+s/nqq6/Oz8/PL997770rqy//1a9+te3GG2+Ue+65p8tVV121EeCzzz5LLyoq8h5zzDHbEx2P/YWnWOmCBay+7DIiJaX0/Od9dDj22FSHZPZAQ/rhxe8n0KsXgRpuElJVwlu27GwpV65aTcVqJzmXzpvH1jemVbliQ4LBXUk5tp/ZbTl70tIafYzJdGjfLiWJTLrV+3xHjhxZ/Mgjj6wBGD16dNENN9yQf/vtt9fYKvd4PEydOvV/F110Uf748eO7BYNBzcvLK3/wwQfrbcU
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAADgCAYAAACkXmWVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAA2v0lEQVR4nO3deXxU5fX48c+ZLRshEBLCFggIqIgsCigWW+tWWzfU1lb0i1td6lK32kWrVVuXX+u3Ii5fq1RFpa1orSKuuGtVkB1FZQkqBAIBIoGsM5nz++PekEnIMlkmM0nO+/W6r7nLc+89mcDJM8/ce66oKsYYYzqWJ94BGGNMd2TJ1xhj4sCSrzHGxIElX2OMiQNLvsYYEweWfI0xJg4s+ZoWEZFbROSpeMdhTGdnydfsQ0SmichiEdkjIltE5BURmdKOx88TERURX6yPKSKPi8if2us8xrQXS76mDhG5FpgB3AHkAIOBB4FT4xhWHe2ZtI2JF0u+Zi8RyQBuAy5X1edUtVRVg6r6oqpe30D7o0RkU711X4nIse78JLcHXSIiW0Xkr26z99zXb93e9WS3/QUi8rmIFIvIayIyJOK4KiKXi8haYG0MfnxjOpQlXxNpMpAM/KedjncvcK+q9gT2A+a667/rvvZS1R6q+pGInArcAJwOZAPvA/+sd7ypwGHAqHaKz5i4seRrIvUBtqtqqJ2OFwSGi0iWqu5R1Y+baHspcKeqfu6e/w5gXGTv192+U1XLmzjOdhH5tmYCprX5pzAmBiz5mkg7gKx2HFO9EBgJfCEin4jISU20HQLcG5E0dwICDIxoszGKc2apaq+aCfhH60I3JrYs+ZpIHwGVOB/vo1EKpNYsiIgXZ8gAAFVdq6pnAX2B/wc8KyJpQEOl9DYCl0QmTlVNUdUPI9pYCT7TZVjyNXup6i7gZuABEZkqIqki4heRH4rInxvYZQ2QLCIniogf+D2QVLNRRM4RkWxVDQPfuqvDQJH7OiziWA8BvxORg9x9M0TkJ+39MxqTKOySHVOHqv6viBTiJNI5wG5gCXB7A213ichlwCzAC/wZiLz64QTgryKSCnwN/KxmvFZEbgf+6ybtE1T1PyLSA/iXO867C1gAPBOjH9WYuBIrpm6MMR3Phh2MMSYOLPkaY0wcxCz5isijIrJNRD6NWJcpIgtEZK372ttdLyIyU0TWichKETkkVnEZY0wiiGXP93GcL1wi/RZ4U1VHAG+6ywA/BEa408XA/8UwLmOMibuYJV9VfQ/nQvlIpwKz3fnZ1F5PeirwhDo+BnqJSP9YxWaMMfHW0Zea5ajqFne+EKdqFjh3MUXevbTJXbeFJmRlZWleXl57x2iMacaSJUu2q2p28y1NY+J2na+qqoi0+Do3EbkYZ2iCwYMHs3jx4naPzRjTNBH5Ot4xdHYdfbXD1prhBPd1m7u+AMiNaDfIXbcPVX1YVSeo6oTsbPvDa4zpnDo6+c4DznXnzwVeiFg/3b3q4XBgV8TwhDHGdDkxG3YQkX8CR+FUydoE/AG4C5grIhfi3G56ptv8ZeBHwDqgDDg/VnEZY0wiiFnydatZNeSYBtoqcHmsYkkEZcuWUbboE1InTSR1/PhuH4fpepYsWdLX5/PNAkZjN3CFgU9DodDPDz300G0NNejyhXXaM9loMEi4ooJweTlaUUG4vAKtdF8rygmXVxCuiNjmrqvauJHdr78O1dXg9ZI2ZQq+Pn2carU1ROqcS+osS6Pt6izX2xS5TUQIFW1n91tvOXH4fPQ+80ySRo7Ak5aGJzXVmWrmI9aJ39+q98t0Lz6fb1a/fv0OzM7OLvZ4PN26aEw4HJaioqJRhYWFs4BTGmrTpZNv2bJlfHPueWgwCD4fmdOn48vOcpJjRQVa7r5GJs7IdRWVddYRasUDHrxexOt1Eh5AdTXlS5fiSUurbVO/uFHkcsS81i9nG7kYxTHC5eW1cYRCFP8jujrjEgg0nJzTGk7YkpqKNy0NaTChp+FJTaF8xQrrgXc9oy3xOjwej2ZnZ+8qLCwc3Vibrp18F33iJF5VCAbZ+fe/1270evGkpCDJyXiSk/GkJCPJKXiSk/H27oUnub+zLiliW0qy2z6l8W0pzjEkJQVPUhLi9zt/BM6/AA0GEb+f3If/FpeEUz+OQQ8+SNLw/dCyMqpLS+u8hsvKCJeWOq8186VlhMtqXssIFRXVaadVVS0PyuOh56mn0OOIIwgMG0ZSXl7dP0ymM/FY4q3lvheNDr906eSbOmkiEgjsTTYD7vkraRMnOsmxAz9Kp44fz+DHHo17Ty/WcWgwWJusI5P33ldnfs/771P2sfs4t3CYkudfoOQ/z+89jq9/f5KGDiUwbBiBYUNJGjaMwLBh+LKz6w3HGFOX1+s9dMSIEXuf8Xf66afvrKyslIqKCs8DDzyw9/LVDz/8MOWcc84Zlp+f/9nAgQMPXrx48ef9+/cPffPNN77LLrts8IoVK1J79uxZnZWVFbzrrrsKzj///KEAW7ZsCfTo0aM6PT29OjMzM/Thhx+uaW2sXTv5jh/P4Mcfi3vSq4klET5exzIO8fvxZmTgzchosl3KIeP5Zvny2k8CjzyMr3dvKtfnU7Uhn8r8fKryN7DruecIl5Xt3c/To4fTO45MzPvtRyA318alDQBJSUnhL774YnXkupUrVyb96Ec/GhmZfJ966qnM008/vU75g3A4zCmnnDJ82rRpO+bPn58P8NFHH6Xs2rXLW3PMM844I++kk07adf755xe3NdYunXwhcZKeqdVYDzxp+PA67VSV0LZtVOXnO4k5P5/KDfmUfvwxu154obahz0cgN9dJzMOGEhg6jKT9hhEYOhRvz54d+aOZFvpg3fa0/67bnv6d4Vm7pwzPKo3FOcaMGVOZkZEReuutt9KOPvroUoB58+ZlvvLKK3V6rfPnz0/3+Xz661//uqhm3eTJk5t6UnabdPnkaxJTNH8URQR/Tg7+nBzSJk+us616TylVGzY4PeWIxLznvfcgGNzbzpudRdLQiOELNzH7+vWzL/1i6PpnV+SuKdyd2lSb0sqQZ/320lRVeOjd9eyXlVaWluQLN9Z+ZL/0sr/8eGyTT7CurKz0HHDAAaNqlq+77rotF110UfEZZ5yxc86cOZlHH3106ZtvvpnWq1ev0MEHH1wZue/KlStTxo4dW7bvUWPDkq/plLw90kg5eDQpB9f9MllDIYKbNlGZv4Gq/PXuaz4lL79CuKSktmEg4CRpVfD5GHDXnfQ88UQbU+5AeypDvpqLclSd5bQkXyu+ta3V0LADwPTp03dOmTLlwOrq6o1z5szJPOOMM+pXXOxwlnxNlyI+H4G8PAJ5eXD09/euV1Wqd+50esj5G9j1wvOUL13mbAyF2Pyr69l6512kTpxI6qSJpE2aRGC//SwZt1JzPVRwhhwuePyTkaHqsMfn9YTvPnNcfqyGHoYPHx4cNGhQ5csvv5z+8ssv9/7vf//7ef02Bx98cPnzzz/fOxbnb4glX9MtiAi+Pn3w9elD6sSJJI0cUXvZnc9H5nnnEiospHThIna/+ioA3sxMUidNInXiBCcZDx9uybgdTRmeVfroeRPXxHrMt8ZPfvKTnddff31ubm5u5X777Resv/3kk0/efdNNN8ndd9+d9atf/Wo7wMKFC1OKi4u9J5xwwp72jseSr+mWGvvST1UJbtpE2aJFlC36hNJF9ZKx2zNOnTiRpOHDEU93v4u2baYMzyptz6Rbf8z36KOP3vXggw8WAEyfPr34xhtvzL3jjjsa7JV7PB7mzZu3/rLLLsu99957+yUlJemgQYMq77vvvmZ78a3RqR8dP2HCBLV6viaWVJVgQQFlCxdRtmgRpZ8sIrTZKbjn7d3bTcaTSJ3UvZKxiCxR1QmR61asWPHV2LFjt8crpkS0YsWKrLFjx+Y1tM16vsY0QUQIDBpEYNAgep1xOgBVmwrcnrEz7X79dQC8vXpFJONJJI3oPsnYtJwlX2NaKDBoIIFBp9Hr9NMANxl/8kltMl6wAABvRoY7RDGJ1MMmkTRihCVjs5clX2PayEnGA+l12lQAggUFlH7yCWW
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    term priority  count\n",
      "0      4      0-1     18\n",
      "1      4      2-4     38\n",
      "2      4      5-8     20\n",
      "3      4     9-11     28\n",
      "4      5      0-1      0\n",
      "5      5      2-4      4\n",
      "6      5      5-8     21\n",
      "7      5     9-11     78\n",
      "8      6      0-1      0\n",
      "9      6      2-4      7\n",
      "10     6      5-8     25\n",
      "11     6     9-11     65\n",
      "12     7      0-1      0\n",
      "13     7      2-4      4\n",
      "14     7      5-8     17\n",
      "15     7     9-11     90\n"
     ]
    }
   ],
   "source": [
    "dfatot = None\n",
    "dfbtot = None\n",
    "dfctot = None\n",
    "\n",
    "for cluster in \"abcdefgh\":\n",
    "    # Processing figure 7a\n",
    "    \n",
    "    dfa = pd.read_csv(glob.glob(DIR + cluster + \"_priority/part-*\")[0], header=None,\n",
    "                    names=[\"term\", \"priority\", \"count\"])\n",
    "    dfa[\"tier\"] = dfa[\"priority\"].apply(tier)\n",
    "    dfa = dfa[dfa[\"priority\"].ge(0)]\n",
    "    dfa = dfa.groupby([\"tier\", \"term\"]).sum().reset_index()\n",
    "    dfa = dfa[dfa[\"term\"].isin(range(4,8))]\n",
    "    del dfa[\"priority\"]\n",
    "    if dfatot is None:\n",
    "        dfatot = dfa\n",
    "    else:\n",
    "        dfatot.append(dfa)\n",
    "    \n",
    "    xs = [\"Free\", \"Best effort\", \"Mid\", \"Production\", \"Monitoring\"]\n",
    "    categorical_plot(dfa, \"tier\", \"Cluster \" + cluster.upper(), xs)\n",
    "    \n",
    "    # Processing figure 7b\n",
    "    \n",
    "    dfb = pd.read_csv(glob.glob(DIR + cluster + \"_exectime/part-*\")[0], header=None,\n",
    "                names=[\"term\", \"ignore\", \"exectime\", \"count\"])\n",
    "    del dfb[\"ignore\"]\n",
    "    dfb = dfb.sort_values([\"term\", \"exectime\"])\n",
    "    if dfbtot is None:\n",
    "        dfbtot = dfb\n",
    "    else:\n",
    "        dfbtot.append(dfb)\n",
    "    \n",
    "    xs = [\"<1\", \"1-2\", \"2-4\", \"4-10\", \"10-60\", \"60-1d\", \">=1d\"]\n",
    "    categorical_plot(dfb, \"exectime\", \"Cluster \" + cluster.upper(), xs)\n",
    "\n",
    "    # Processing figure 7c\n",
    "    \n",
    "    bins = [\"0\", \"1\", \"2-3\", \"4-5\", \"6-7\", \"8-9\", \"10-11\", \"12-13\", \">=14\"]\n",
    "    bin_max = [1, 3, 5, 7, 9, 11, 13]\n",
    "    def map_bins(value):\n",
    "        for i, m in enumerate(bin_max):\n",
    "            if value < m:\n",
    "                return bins[i-1]\n",
    "        return bins[-1]\n",
    "    \n",
    "    dfc = pd.read_csv(DIR + cluster + \"_figure7c.csv\", header=0)\n",
    "    dfc = dfc.sort_values([\"term\", \"n_exec\"])\n",
    "    dfc[\"n_exec\"] = dfc[\"n_exec\"].map(map_bins)\n",
    "    dfc = dfc.groupby([\"term\", \"n_exec\"]).sum().reset_index()\n",
    "    categorical_plot(dfc, \"n_exec\", \"Cluster \" + cluster.upper())\n",
    "    if dfctot is None:\n",
    "        dfctot = dfc\n",
    "    else:\n",
    "        dfctot.append(dfc)\n",
    "\n",
    "cluster = \"all\"\n",
    "        \n",
    "dfatot = dfatot.groupby([\"tier\", \"term\"]).sum().reset_index()\n",
    "dfbtot = dfbtot.groupby([\"term\", \"exectime\"]).sum().reset_index()\n",
    "dfctot = dfctot.groupby([\"term\", \"n_exec\"]).sum().reset_index()\n",
    "\n",
    "xs = [\"Free\", \"Best effort\", \"Mid\", \"Production\", \"Monitoring\"]\n",
    "categorical_plot(dfatot, \"tier\", \"2019 data\", xs)\n",
    "\n",
    "xs = [\"<1\", \"1-2\", \"2-4\", \"4-10\", \"10-60\", \"60-1d\", \">=1d\"]\n",
    "categorical_plot(dfbtot, \"exectime\", \"2019 data\", xs)\n",
    "\n",
    "categorical_plot(dfctot, \"n_exec\", \"2019 data\")\n",
    "\n",
    "\n",
    "dfa11 = {'term': [4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7],\n",
    "         'priority': [\"0-1\", \"2-4\", \"5-8\", \"9-11\"] * 4,\n",
    "         'count': [18, 38, 20, 28, 0, 4, 21, 78, 0, 7, 25, 65, 0, 4, 17, 90]}\n",
    "dfa11 = pd.DataFrame(data=dfa11, columns=dfa11.keys())\n",
    "\n",
    "dfc11 = {'term': [4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7],\n",
    "         'n_exec': [\"0\", \"1\", \"2-3\", \"4-5\", \"6-7\", \"8-9\", \"10-11\", \"12-13\", \">=14\"] * 4,\n",
    "         'count': [45,12,27,18,20,16,20,45,10,17,18,55,7,24,20,52,6,25,16,51,6,25,18,50,5,26,20,49,5,25,]}\n",
    "dfc11 = pd.DataFrame(data=dfa11, columns=dfa11.keys())\n",
    "\n",
    "dfb11 = {'term': [4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7],\n",
    "         'exectime': [\"<1\", \"1-2\", \"2-4\", \"4-10\", \"10-60\", \"60-1d\", \">=1d\"] * 4,\n",
    "         'count': [18, 38, 20, 28, 0, 4, 21, 78, 0, 7, 25, 65, 0, 4, 17, 90]}\n",
    "dfb11 = pd.DataFrame(data=dfa11, columns=dfa11.keys())\n",
    "print(dfa11)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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