kielni/db.ipynb

## db.ipynb
{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "oriented-smell",
   "metadata": {},
   "source": [
    "# Query strategy and database bloat\n",
    "\n",
    "This notebook simulates the effects of delete + insert and merge (insert or update) on database storage.\n",
    "Squares represent storage: unallocated, available for use, deleted but not reclaimed, or used.\n",
    "\n",
    "Initially, 25% of the squares are unallocated. Of the remaining, 90% are used and 10% are available for reuse.\n",
    "\n",
    "A **delete** changes a square from used to deleted (unavailable).\n",
    "\n",
    "An **insert** changes an available square (if possible), or an unallocated square to used.\n",
    "\n",
    "An **update** marks a used square as deleted, then an available or unallocated square to used.\n",
    "\n",
    "A **vacuum** changes 80% of deleted squares to available.\n",
    "\n",
    "Each frame does a constant (`ROWS`) number of operations.\n",
    "\n",
    "The delete + insert strategy does:\n",
    "\n",
    "  - 10 batches of equal size deletes and inserts\n",
    "  - vacuum (80% effective)\n",
    "  \n",
    "The merge strategy does:\n",
    "\n",
    "  - 10 batches of insert (15%), delete (15%), update (43%)\n",
    "  - vacuum (80% effective)\n",
    "  \n",
    "The insert, delete, and update percentages uses here come from measurements of 10k runs of of our application.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "incoming-association",
   "metadata": {},
   "outputs": [],
   "source": [
    "from enum import Enum\n",
    "import random\n",
    "from typing import List, Tuple\n",
    "\n",
    "from IPython.display import HTML\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import animation, ticker\n",
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set(font_scale=3)\n",
    "\n",
    "\n",
    "class State(Enum):\n",
    "    unallocated = 0\n",
    "    available = 1\n",
    "    deleted = 2\n",
    "    used = 3\n",
    "\n",
    "\n",
    "def with_value(val: int) -> List[Tuple[int, int]]:\n",
    "    \"\"\"Return an array of x,y indices of elements with specified value.\"\"\"\n",
    "    coords = []\n",
    "    for x in range(df.shape[0]):\n",
    "        for y in range(df.shape[1]):\n",
    "            if df.at[x, y] == val:\n",
    "                coords.append((x, y))\n",
    "    return coords\n",
    "\n",
    "\n",
    "def set_value(from_val: int, to_val: int, num: int) -> int:\n",
    "    \"\"\"Set num randomly-chosen squares currently set to from_val to to_val.\"\"\"\n",
    "    coords = with_value(from_val)\n",
    "    random.shuffle(coords)\n",
    "    for coord in coords[:num]:\n",
    "        df.at[coord[0], coord[1]] = to_val\n",
    "    return len(coords[:num])\n",
    "\n",
    "\n",
    "def delete_el(num: int):\n",
    "    \"\"\"Delete: set num used squares to deleted.\"\"\"\n",
    "    set_value(State.used.value, State.deleted.value, num)\n",
    "\n",
    "\n",
    "def insert_el(num: int):\n",
    "    \"\"\"Insert: set num available to used; if not enough updated, set unllocated squares to used.\"\"\"\n",
    "    updated = set_value(State.available.value, State.used.value, num)\n",
    "    # if not enough available, get from unallocated\n",
    "    diff = max(num - updated, 0)\n",
    "    if diff:\n",
    "        set_value(State.unallocated.value, State.used.value, diff)\n",
    "        \n",
    "\n",
    "def in_use():\n",
    "    \"\"\"Return the number of squares in use.\"\"\"\n",
    "    return df.shape[0] * df.shape[1] - len(with_value(State.unallocated.value))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "civil-production",
   "metadata": {},
   "outputs": [],
   "source": [
    "FRAMES = 16\n",
    "# dataframe size\n",
    "HEIGHT = 20\n",
    "WIDTH = 40\n",
    "# batch size for each frame\n",
    "ROWS = 18\n",
    "# vacuum doesn't get to all dead tuples\n",
    "VACUUM_PERCENT = 0.8\n",
    "# percentage of rows touched with merge strategy\n",
    "MERGE_INSERTS = 0.15\n",
    "MERGE_DELETES = 0.15\n",
    "MERGE_UPDATES = 0.43\n",
    "\n",
    "df = pd.DataFrame(index=range(HEIGHT), columns=range(WIDTH))\n",
    "df = df.fillna(0)\n",
    "\n",
    "# https://colorbrewer2.org/#type=diverging&scheme=RdYlBu&n=3\n",
    "# unallocated (white), available (orange), deleted (yellow), used (blue)\n",
    "colors = (\"#efefef\", \"#fc8d59\", \"#ffffbf\", \"#91bfdb\")\n",
    "color_map = LinearSegmentedColormap.from_list(\"custom\", colors, len(colors))\n",
    "colorbar = True\n",
    "\n",
    "def init():\n",
    "    \"\"\"Set the initial values: 75% allocated and 90% of allocated squares used.\"\"\"\n",
    "    df[df > 0] = State.unallocated.value\n",
    "    # leave 25% unallocated\n",
    "    for x in range(int(df.shape[0] * 0.75)):\n",
    "        for y in range(df.shape[1]):\n",
    "            val = random.randrange(10)\n",
    "            # 10% available for reuse\n",
    "            if val == 0:\n",
    "                df.at[x,y] = State.available.value\n",
    "            else:\n",
    "                # 90% in use\n",
    "                df.at[x,y] = State.used.value\n",
    "    return df\n",
    "\n",
    "\n",
    "@ticker.FuncFormatter\n",
    "def formatter(x, pos):\n",
    "    \"\"\"Return label for value, for use in colorbar.\"\"\"\n",
    "    for state in State:\n",
    "        if state.value == pos:\n",
    "            return state.name\n",
    "    return pos\n",
    "\n",
    "\n",
    "def draw(title: str):\n",
    "    \"\"\"Draw a heatmap from a dataframe, and set a title. Draw the colorbar just once.\"\"\"\n",
    "    global colorbar\n",
    "    sns.heatmap(df, cmap=color_map, linewidths=0.5, linecolor=\"white\", square=True,\n",
    "                yticklabels=False, xticklabels=False,\n",
    "                cbar=colorbar,\n",
    "                cbar_kws=dict(\n",
    "                    ticks=[0.35, 1.1, 1.9, 2.6],\n",
    "                    format=formatter,\n",
    "                    shrink=0.5\n",
    "                )\n",
    "    )\n",
    "    if colorbar:\n",
    "        colorbar = False\n",
    "    ax.set_title(title, fontsize=24)\n",
    "\n",
    "\n",
    "def animate_delete_insert(frame: int):\n",
    "    \"\"\"Delete and insert ROWS elements.\n",
    "\n",
    "    frame 0 initial setup\n",
    "    frame 1-10 delete + insert\n",
    "    frame 11 vacuum\n",
    "    frame 12+ redraw (pause)\n",
    "    \"\"\"\n",
    "    rows = ROWS\n",
    "    if frame == 0:\n",
    "        init()\n",
    "        title = f\"initial: {in_use()} in use\"\n",
    "    elif frame <= 10:\n",
    "        delete_el(rows)\n",
    "        insert_el(rows)\n",
    "        title = \"delete + insert\"\n",
    "    elif frame == 11:\n",
    "        coords = with_value(State.deleted.value)\n",
    "        random.shuffle(coords)\n",
    "        # vaccum \n",
    "        vacuum_size = round(len(coords) * VACUUM_PERCENT)\n",
    "        title = \"vacuum\"\n",
    "        for coord in coords[:vacuum_size]:\n",
    "            df.at[coord[0], coord[1]] = State.available.value\n",
    "    else:\n",
    "        title = f\"after vacuum: {in_use()} in use\"\n",
    "    ax.cla() # clean the axis \n",
    "    draw(title)\n",
    "\n",
    "\n",
    "def animate_merge(frame: int):\n",
    "    \"\"\"Update, insert, and delete a fraction of the batch size.\n",
    "    \n",
    "    From our data, a job inserts 15% new rows, deletes 15% rows not present in new data, and updates 43% of rows.\n",
    "\n",
    "    frame 0 initial setup\n",
    "    frame 1-10 insert, delete, and update\n",
    "    frame 11 vacuum\n",
    "    frame 12+ redraw (pause)\n",
    "    \"\"\"\n",
    "    if frame == 0:\n",
    "        init()\n",
    "        title = f\"initial: {in_use()} in use\"\n",
    "    elif frame <= 10:\n",
    "        rows = round(MERGE_INSERTS * ROWS)\n",
    "        insert_el(rows)\n",
    "        rows = round(MERGE_DELETES * ROWS)\n",
    "        delete_el(rows)\n",
    "        # an update is effectively a delete followed by an insert\n",
    "        rows = round(MERGE_UPDATES * ROWS)\n",
    "        delete_el(rows)\n",
    "        insert_el(rows)\n",
    "        title = \"merge\"\n",
    "    elif frame == 11:\n",
    "        coords = with_value(State.deleted.value)\n",
    "        random.shuffle(coords)\n",
    "        vacuum_size = round(len(coords) * VACUUM_PERCENT)\n",
    "        title = \"vacuum\"\n",
    "        for coord in coords[:vacuum_size]:\n",
    "            df.at[coord[0], coord[1]] = State.available.value\n",
    "    else:\n",
    "        title = f\"after vaccuum: {in_use()} in use\"\n",
    "    ax.cla() # clean the axis \n",
    "    draw(title)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "impressed-replica",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initial setup\n",
    "\n",
    "random.seed(21)\n",
    "fig, ax = plt.subplots(figsize=(20, 10))\n",
    "fig.subplots_adjust(top = 0.95, right = 0.95, bottom = 0.05, left = 0.05)\n",
    "colorbar = True\n",
    "df = init()\n",
    "draw(f\"initial: used={in_use()}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "alien-exclusive",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "start delete + insert: batch size=18 used=600\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img86ea769ffca9447aac39ec567b2b1275\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider86ea769ffca9447aac39ec567b2b1275\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim86ea769ffca9447aac39ec567b2b1275.set_frame(parseInt(this.value));\"></input>\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" onclick=\"anim86ea769ffca9447aac39ec567b2b1275.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select86ea769ffca9447aac39ec567b2b1275\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_86ea769ffca9447aac39ec567b2b1275\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio1_86ea769ffca9447aac39ec567b2b1275\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_86ea769ffca9447aac39ec567b2b1275\"\n",
       "             >\n",
       "      <label for=\"_anim_radio2_86ea769ffca9447aac39ec567b2b1275\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_86ea769ffca9447aac39ec567b2b1275\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_86ea769ffca9447aac39ec567b2b1275\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img86ea769ffca9447aac39ec567b2b1275\";\n",
       "    var slider_id = \"_anim_slider86ea769ffca9447aac39ec567b2b1275\";\n",
       "    var loop_select_id = \"_anim_loop_select86ea769ffca9447aac39ec567b2b1275\";\n",
       "    var frames = new Array(16);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABaAAAALQCAYAAABmJdeHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "eXl5eQAAAAAAoJY1XNoDAAAAAACgfhJAAwAAAABQCAE0AAAAAACFEEADAAAAAFAIATQAAAAAAIUQ\\\n",
       "QAMAAAAAUAgBNAAAAAAAhRBAAwAAAABQCAE0AAAAAACFEEADAAAAAFAIATQAAAAAAIUQQAMAAAAA\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim86ea769ffca9447aac39ec567b2b1275 = new Animation(frames, img_id, slider_id, 1000.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create delete + insert animation\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(20, 10))\n",
    "fig.subplots_adjust(top = 0.95, right = 0.95, bottom = 0.05, left = 0.05)\n",
    "colorbar = True\n",
    "df = init()\n",
    "print(f\"start delete + insert: batch size={ROWS} used={in_use()}\")\n",
    "ani = animation.FuncAnimation(fig, animate_delete_insert, frames=FRAMES, interval=1000,\n",
    "                              repeat=False)\n",
    "ani.save(\"db_bloat_del_ins.gif\", writer=\"imagemagick\")\n",
    "draw(f\"delete + insert: used={in_use()}\")\n",
    "HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "determined-poker",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "start merge: batch size=18 used=600\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_imgccda3db1362a4e8eb4ff62eddc8ba688\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_sliderccda3db1362a4e8eb4ff62eddc8ba688\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"animccda3db1362a4e8eb4ff62eddc8ba688.set_frame(parseInt(this.value));\"></input>\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" onclick=\"animccda3db1362a4e8eb4ff62eddc8ba688.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_selectccda3db1362a4e8eb4ff62eddc8ba688\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_ccda3db1362a4e8eb4ff62eddc8ba688\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio1_ccda3db1362a4e8eb4ff62eddc8ba688\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_ccda3db1362a4e8eb4ff62eddc8ba688\"\n",
       "             >\n",
       "      <label for=\"_anim_radio2_ccda3db1362a4e8eb4ff62eddc8ba688\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_ccda3db1362a4e8eb4ff62eddc8ba688\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_ccda3db1362a4e8eb4ff62eddc8ba688\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_imgccda3db1362a4e8eb4ff62eddc8ba688\";\n",
       "    var slider_id = \"_anim_sliderccda3db1362a4e8eb4ff62eddc8ba688\";\n",
       "    var loop_select_id = \"_anim_loop_selectccda3db1362a4e8eb4ff62eddc8ba688\";\n",
       "    var frames = new Array(16);\n",
       "    \n",
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