Learn-to-Compress / scripts / paper_scripts / plot_parquet_new.ipynb
plot_parquet_new.ipynb
Raw
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "color_sns = sns.cubehelix_palette(8, start=.5, rot=-.75)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rocksdb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_970966/4263589239.py:28: MatplotlibDeprecationWarning: The label function was deprecated in Matplotlib 3.1 and will be removed in 3.8. Use Tick.label1 instead.\n",
      "  tick.label.set_fontsize(10)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x330 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.patches import ConnectionPatch\n",
    "from matplotlib.ticker import MultipleLocator, FormatStrFormatter\n",
    "from brokenaxes import brokenaxes\n",
    "Baseline = [0.110038,0.114483,0.118789,0.122976,0.132508]\n",
    "Baseline_16=[0.111025,0.117650,0.119981,0.125244,0.130878]\n",
    "Baseline_128 = [0.109812,0.112544,0.114175,0.117051,0.122561]\n",
    "Leco=[0.124348,0.128505,0.129521,0.134952,0.143202]\n",
    "FOR=[0.109088,0.113897,0.117474,0.124294,0.132217]\n",
    "EF = [0.094909, 0.098598, 0.101269, 0.104480, 0.110961]\n",
    "label = ['Baseline_1','Baseline_16','Baseline_128','LeCo','Elias-Fano']\n",
    "dataset = [Baseline, Baseline_16,Baseline_128,Leco,EF]\n",
    "mark_style = ['x','+','^','o','s']\n",
    "# colors = ['sandybrown','lightseagreen','seagreen', 'slategray']\n",
    "colors =  ['seagreen',color_sns[3],color_sns[4],'sandybrown',color_sns[6]]\n",
    "plt.figure(figsize=(5, 3.3))\n",
    "bax = brokenaxes( ylims=[(0, 0.032), (0.1, 0.15)], despine=False)\n",
    "for i in range(len(dataset)):\n",
    "    bax.plot(dataset[i],ls='--',marker=mark_style[i],label = label[i], c = colors[i],ms=8,clip_on=False)\n",
    "\n",
    "bax.set_ylabel('Million op/s',fontsize=15)\n",
    "bax.set_xlabel('Block Cache size (GB)',fontsize=14)\n",
    "# plt.title('Rocksdb index block',fontsize=23)\n",
    "# plt.ylim([0,0.16])\n",
    "bax.set_xticks([0,1,2,3,4],['2','3','4','6','10'], fontsize=10)\n",
    "# bax.set_yticks(fontsize=10)\n",
    "for i in range(2):\n",
    "    for tick in bax.axs[i].get_yaxis().get_major_ticks():\n",
    "        tick.label.set_fontsize(10)\n",
    "bax.legend(fontsize=12, loc=4, ncol = 2)\n",
    "# plt.tight_layout()\n",
    "# plt.subplots_adjust(left=0.12, right=0.97, bottom=0.2, top=0.95)\n",
    "plt.savefig(\"Rocksdb.pdf\", bbox_inches='tight', pad_inches=0.05, transparent=True)\n",
    "# plt.savefig('Rocksdb.pdf',dpi=500, transparent=True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Parquet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "scale: linear\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x330 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x330 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x330 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x330 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from curses.panel import bottom_panel\n",
    "from logging import StrFormatStyle\n",
    "\n",
    "PROJ_SRC_DIR = '/root/arrow-private/cpp'\n",
    "name = 'i3g_new.csv'\n",
    "\n",
    "matplotlib.rcParams.update({'font.size': 18})\n",
    "from matplotlib.ticker import *\n",
    "\n",
    "df = pd.read_csv(name) \n",
    "df_avg = df.groupby(['dataset', 'encoding','selectivity'], as_index=False).mean().set_index(['dataset','encoding'])\n",
    "\n",
    "df_avg = df_avg.drop(['PLAIN'], axis=0, level=1)\n",
    "dataset_dict = set()\n",
    "encoding_dict = set()\n",
    "for i, row in df_avg.iterrows():   \n",
    "    dataset_dict.add(i[0])\n",
    "    encoding_dict.add(i[1])\n",
    "\n",
    "dataset_dict = ['normal_200M_uint32.txt', 'books_200M_uint32.txt',\n",
    " 'poisson_timestamps_EVENT_50000_SENSOR_2000_randomdie_OUTER_1000s_INNER_2ms_200M.csv', 'ml_timestamp_200M.csv']\n",
    "\n",
    "scale = ['linear']\n",
    "ds_to_title = {'linear_200M_uint32.txt': 'linear', 'books_200M_uint32.txt': 'booksale',\n",
    " 'wiki_200M_uint64': 'wiki', 'normal_200M_uint32.txt': 'normal', 'ml_timestamp_200M.csv': 'ml', \n",
    " 'poisson_timestamps_EVENT_50000_SENSOR_2000_randomdie_OUTER_1000s_INNER_2ms_200M.csv': 'poisson'}\n",
    "enc_to_label = {'LECO': 'LeCo', 'FOR': 'FOR', 'DICT': 'Default', 'PLAIN': 'Plain'}\n",
    "encoding_dict = ['LECO','FOR','DICT']\n",
    "marker = ['o','v','x']\n",
    "colors = ['sandybrown',color_sns[3],color_sns[5]]\n",
    "\n",
    "for s in scale:\n",
    "    print(f'scale: {s}')\n",
    "    cnt = 0\n",
    "    for ds in dataset_dict:\n",
    "        fig, ax = plt.subplots(figsize=(5, 3.3))\n",
    "        for i, enc in enumerate(encoding_dict):\n",
    "            ax.plot(df_avg.loc[ds, enc]['selectivity'], df_avg.loc[ds, enc]['query_time'], label=enc_to_label[enc], marker=marker[i], color=colors[i], ls='--', ms=8)\n",
    "        \n",
    "        # speedup txt code, should comment off\n",
    "        # speedup_over_default = df_avg.loc[ds, 'DICT']['query_time'].values / df_avg.loc[ds, 'LECO']['query_time'].values\n",
    "        # speedup_over_for = df_avg.loc[ds, 'FOR']['query_time'].values / df_avg.loc[ds, 'LECO']['query_time'].values\n",
    "        # speedup_xspace, speedup_yspace = 0, 0.1\n",
    "        # print(speedup_over_default)\n",
    "        # print(speedup_over_for)\n",
    "        # for x, y, s in zip(df_avg.loc[ds, 'DICT']['selectivity'], df_avg.loc[ds, 'DICT']['query_time'], speedup_over_default):\n",
    "        #     ax.text(x + speedup_xspace, y + speedup_yspace, \"%.1fx\"%(s), fontsize=12)\n",
    "        \n",
    "        # for x, y, s in zip(df_avg.loc[ds, 'FOR']['selectivity'], df_avg.loc[ds, 'FOR']['query_time'], speedup_over_for):\n",
    "        #     ax.text(x + speedup_xspace, y + speedup_yspace, \"%.1fx\"%(s), fontsize=12)\n",
    "\n",
    "        # ax.set_yscale(s)\n",
    "        ax.set_xscale('log')\n",
    "        ax.set_xticks([0.001, 0.01, 0.1, 1.0, 10])\n",
    "        if cnt == 0 or cnt == 1:\n",
    "            ax.set_yticks([0, 1, 2, 3])\n",
    "        else:\n",
    "            ax.set_yticks([0, 1, 2, 3, 4])\n",
    "        ax.xaxis.set_major_formatter('{x:g}')\n",
    "        ax.set_ylim(bottom=0)\n",
    "        if cnt == 0:\n",
    "            ax.legend(loc=\"upper left\", bbox_to_anchor=((-0.01,1.02)), ncol=1, frameon=True,\n",
    "                        prop={'size': 14}, columnspacing=1, handletextpad=0.2)\n",
    "        ax.set_xlabel('Selectivity (%)')\n",
    "        if cnt % 2 == 0:\n",
    "            ax.set_ylabel('Query Time (seconds)')\n",
    "        # ax.set_title(ds_to_title[ds])\n",
    "        # plt.tight_layout()\n",
    "        plt.title(ds_to_title[ds])\n",
    "        plt.subplots_adjust(left=0.12, right=0.97, bottom=0.2, top=0.9)\n",
    "        plt.savefig(f'leco_pq_{ds_to_title[ds]}.pdf')\n",
    "        plt.show()\n",
    "        cnt += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parquet Filter Scan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.patches import ConnectionPatch\n",
    "from matplotlib.ticker import MultipleLocator, FormatStrFormatter\n",
    "category_colors = [color_sns[5],color_sns[3],color_sns[1],'sandybrown','peachpuff']\n",
    "def plot_filter_bar(sync_dict, sync_FOR, sync_LECO, IO_dict, IO_FOR, IO_LECO, titlename,withylabel=1, withxlabel=1):\n",
    "    selectivity = [0.001, 0.01, 0.1, 1, 10]\n",
    "    mark_style = ['o','v']\n",
    "    X = np.arange(len(selectivity))+1\n",
    "    fig, ax = plt.subplots(figsize=(5.5, 3))\n",
    "    bar_width = 0.27\n",
    "    plt.bar(X-0.3, sync_dict-IO_dict,bottom=IO_dict, label = \"Default_CPU\",width = bar_width, color = color_sns[5], hatch='//',ec=color_sns[7])\n",
    "    plt.bar(X-0.3, IO_dict, label = \"Default_IO\",width = bar_width, color = color_sns[4],ec=color_sns[5])\n",
    "    plt.bar(X, sync_FOR-IO_FOR,bottom=IO_FOR, label = \"FOR_CPU\",width = bar_width, color = color_sns[3], hatch='\\\\\\\\',ec=color_sns[4])\n",
    "    plt.bar(X, IO_FOR, label = \"FOR_IO\" ,width = bar_width,  color = color_sns[1], ec=color_sns[2])\n",
    "    plt.bar(X+0.3, sync_LECO-IO_LECO,bottom=IO_LECO, label = \"LeCo_CPU\",width = bar_width, color = category_colors[-2], hatch='//',ec='chocolate')\n",
    "    plt.bar(X+0.3, IO_LECO, label = \"LeCo_IO\",width = bar_width, color = category_colors[-1],ec=category_colors[-2])\n",
    "    \n",
    "#     for i in range(len(sync_LECO)):\n",
    "# #         plt.annotate(str(int((sync_FOR[i] - sync_LECO[i])*100.0/sync_FOR[i]))+'%' , xy = (X[i], sync_LECO[i]), xytext = (X[i]+0.15, sync_LECO[i]+0.05), fontsize=11)\n",
    "#         plt.annotate(str(round(sync_FOR[i] / sync_LECO[i], 1))+'x' , xy = (X[i], sync_LECO[i]), xytext = (X[i]+0.15, sync_LECO[i]+0.1), fontsize=12)\n",
    "    plt.ylim(0, max(sync_dict)+0.1)\n",
    "    plt.legend(fontsize=10,ncol=3,bbox_to_anchor=(0,1.02,1,0.2),borderaxespad = 0.)\n",
    "#     plt.legend(fontsize=10,ncol=3,borderaxespad = 0.1, loc=2)\n",
    "    plt.xticks(X, selectivity,fontsize=13)\n",
    "    plt.yticks(fontsize=13)\n",
    "    if withxlabel:\n",
    "        plt.xlabel(\"Selectivity(%)\", fontsize = 13)\n",
    "    if withylabel:\n",
    "        plt.ylabel(\"Query Time(s)\", fontsize = 15)\n",
    "    ymajorLocator = MultipleLocator(1)\n",
    "    plt.gca().yaxis.set_major_locator(ymajorLocator)\n",
    "#     plt.title(titlename, fontsize = 18)\n",
    "    plt.tight_layout()\n",
    "    plt.savefig('{}.pdf'.format(titlename),dpi=500, transparent=True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "selectivity = [0.001, 0.01, 0.1, 1, 10]\n",
    "def get_data(encode, sync, col):\n",
    "    df = pd.read_csv('/root/Learn-to-Compress/benchmark/poisson_filter_10000_fb_nvme.log', delimiter = ' ',header=None)\n",
    "    tmp = np.array(df.loc[(df[0]==encode) & (df[1]==sync)][col])[::-1]\n",
    "    return tmp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 550x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sync_dict = get_data(0, 0,3)\n",
    "sync_for = get_data(10, 0,3)\n",
    "sync_leco = get_data(11,0,3)\n",
    "\n",
    "dict_IO = get_data(0, 0,4)\n",
    "for_IO = get_data(10, 0,4)\n",
    "leco_IO = get_data(11, 0,4)\n",
    "plot_filter_bar(sync_dict, sync_for, sync_leco, dict_IO, for_IO, leco_IO,'filter_bitmap_ml_fb_sync')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.patches import ConnectionPatch\n",
    "from matplotlib.ticker import MultipleLocator, FormatStrFormatter\n",
    "category_colors = [color_sns[5],color_sns[3],color_sns[1],'sandybrown','peachpuff']\n",
    "def plot_filter_bar(sync_dict, sync_FOR, sync_LECO, IO_dict, IO_FOR, IO_LECO, titlename,withylabel, withxlabel):\n",
    "    selectivity = [0.001, 0.01, 0.1, 1, 10]\n",
    "    mark_style = ['o','v']\n",
    "    X = np.arange(len(selectivity))+1\n",
    "    fig, ax = plt.subplots(figsize=(5, 3))\n",
    "    bar_width = 0.27\n",
    "    plt.bar(X-0.3, sync_dict-IO_dict,bottom=IO_dict, label = \"Default_CPU\",width = bar_width, color = color_sns[5], hatch='//',ec=color_sns[7])\n",
    "    plt.bar(X-0.3, IO_dict, label = \"Default_IO\",width = bar_width, color = color_sns[4],ec=color_sns[5])\n",
    "    plt.bar(X, sync_FOR-IO_FOR,bottom=IO_FOR, label = \"FOR_CPU\",width = bar_width, color = color_sns[3], hatch='\\\\\\\\',ec=color_sns[4])\n",
    "    plt.bar(X, IO_FOR, label = \"FOR_IO\" ,width = bar_width,  color = color_sns[1], ec=color_sns[2])\n",
    "    plt.bar(X+0.3, sync_LECO-IO_LECO,bottom=IO_LECO, label = \"LeCo_CPU\",width = bar_width, color = category_colors[-2], hatch='//',ec='chocolate')\n",
    "    plt.bar(X+0.3, IO_LECO, label = \"LeCo_IO\",width = bar_width, color = category_colors[-1],ec=category_colors[-2])\n",
    "    \n",
    "#     for i in range(len(sync_LECO)):\n",
    "# #         plt.annotate(str(int((sync_FOR[i] - sync_LECO[i])*100.0/sync_FOR[i]))+'%' , xy = (X[i], sync_LECO[i]), xytext = (X[i]+0.15, sync_LECO[i]+0.05), fontsize=11)\n",
    "#         plt.annotate(str(round(sync_FOR[i] / sync_LECO[i], 1))+'x' , xy = (X[i], sync_LECO[i]), xytext = (X[i]+0.15, sync_LECO[i]+0.05), fontsize=11)\n",
    "    plt.ylim(0, max(sync_dict)+0.1)\n",
    "    if titlename == 'normal':\n",
    "        plt.ylim([0,1.7])\n",
    "        plt.legend(fontsize=9,ncol=3,borderaxespad = 0.1, loc=2)\n",
    "    plt.xticks(X, selectivity,fontsize=13)\n",
    "    plt.yticks(fontsize=13)\n",
    "    if withxlabel:\n",
    "        plt.xlabel(\"Selectivity(%)\", fontsize = 15)\n",
    "    if withylabel:\n",
    "        plt.ylabel(\"Query Time(s)\", fontsize = 15)\n",
    "    ymajorLocator = MultipleLocator(0.5)\n",
    "    plt.gca().yaxis.set_major_locator(ymajorLocator)\n",
    "    plt.title(titlename, fontsize = 18)\n",
    "    plt.tight_layout()\n",
    "    plt.savefig('parquet_bitmap_{}.pdf'.format(titlename),dpi=500, transparent=True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "selectivity = [0.001, 0.01, 0.1, 1, 10]\n",
    "def get_data(encode, dataset, attri, logname = '/root/parquet_bitmap_new.csv'):\n",
    "    df = pd.read_csv(logname, delimiter = ',')\n",
    "    tmp = np.array(df.loc[(df['encoding']==encode) & (df['dataset']==dataset) &(df['selectivity'].isin(selectivity))][attri])\n",
    "    tmp = np.mean(tmp.reshape([3, -1]),0)\n",
    "    return tmp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[5.35582102 5.81255968 4.92750117 2.45898585 1.09018379]\n",
      "[5.21052761 5.52445131 5.3395906  5.33130143 5.28798486]\n",
      "[5.24255786 5.58127841 5.25386425 4.17835554 1.83619443]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.08128895 1.158471   1.14298616 1.05179384 0.91173297]\n",
      "[1.24838049 1.31752693 1.28488539 1.30280175 1.31823505]\n",
      "[1.20186294 1.27773314 1.24863042 1.22011201 1.05200437]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.81592844 1.82729021 1.7839033  1.5715883  1.13654255]\n",
      "[1.73173151 1.68278546 1.6443182  1.65738546 1.61968482]\n",
      "[1.74922186 1.71045597 1.67205211 1.63665355 1.37943483]\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.5190615  1.7187184  1.66599866 1.31806726 0.96097424]\n",
      "[1.62444169 1.64570057 1.7049447  1.69916856 1.69650524]\n",
      "[1.60179219 1.65942943 1.69691941 1.58200857 1.18557374]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "datasets = ['normal_200M_uint32.txt','books_200M_uint32.txt','poisson_timestamps_EVENT_50000_SENSOR_2000_randomdie_OUTER_1000s_INNER_2ms_200M.csv','ml_timestamp_200M.csv']\n",
    "# datasets = ['normal_200M_uint32.txt']\n",
    "figname = ['normal','booksale','poisson','ml']\n",
    "withylabel = [1,0,1,0]\n",
    "withxlabel = [0,0,1,1]\n",
    "i=0\n",
    "for dataset in datasets:\n",
    "    sync_dict = get_data('DICT', dataset, 'query_time')\n",
    "    sync_for = get_data('FOR', dataset, 'query_time')\n",
    "    sync_leco = get_data('LECO', dataset, 'query_time')\n",
    "    \n",
    "    dict_cpu = get_data('DICT', dataset, 'query_time_preload')\n",
    "    for_cpu = get_data('FOR', dataset, 'query_time_preload')\n",
    "    leco_cpu = get_data('LECO', dataset, 'query_time_preload')\n",
    "    \n",
    "    dict_IO = sync_dict - get_data('DICT', dataset, 'query_time_preload')\n",
    "    for_IO = sync_for - get_data('FOR', dataset, 'query_time_preload')\n",
    "    leco_IO = sync_leco - get_data('LECO', dataset, 'query_time_preload')\n",
    "    print(for_cpu/leco_cpu)\n",
    "    print(for_IO/leco_IO)\n",
    "    print(sync_for/sync_leco)\n",
    "    \n",
    "    plot_filter_bar(sync_dict, sync_for, sync_leco, dict_IO, for_IO, leco_IO,figname[i], withylabel[i], withxlabel[i])\n",
    "    i+=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.patches import ConnectionPatch\n",
    "from matplotlib.ticker import MultipleLocator, FormatStrFormatter\n",
    "category_colors = [color_sns[5],color_sns[3],color_sns[1],'sandybrown','peachpuff']\n",
    "def plot_zstd_bar(wo_zstd, cpu_wo_zstd, w_zstd, cpu_w_zstd, titlename):\n",
    "    methods = ['Default','FOR','LeCo']\n",
    "    X = np.arange(3)+1\n",
    "    fig, ax = plt.subplots(figsize=(5, 3.3))\n",
    "    bar_width = 0.4\n",
    "    plt.bar(X-0.2, cpu_wo_zstd,bottom=wo_zstd - cpu_wo_zstd, label = \"Default_CPU\",width = bar_width, color = color_sns[3], hatch='\\\\\\\\',ec=color_sns[4])\n",
    "    plt.bar(X-0.2, wo_zstd - cpu_wo_zstd, label = \"Default_IO\",width = bar_width, color = color_sns[1],ec=color_sns[2])\n",
    "    plt.bar(X+0.2, cpu_w_zstd,bottom=w_zstd - cpu_w_zstd, label = \"ZSTD_CPU\",width = bar_width, color = category_colors[-2], hatch='//',ec='chocolate')\n",
    "    plt.bar(X+0.2, w_zstd - cpu_w_zstd, label = \"ZSTD_IO\" ,width = bar_width,  color = category_colors[-1], ec=category_colors[-2])\n",
    "    plt.legend(fontsize=13,ncols = 1,borderaxespad = 0.5)\n",
    "    plt.xticks(X, methods, fontsize=17)\n",
    "    plt.yticks(fontsize=13)\n",
    "    plt.ylabel(\"Query Time(s)\", fontsize = 15)\n",
    "    ymajorLocator = MultipleLocator(0.5)\n",
    "    plt.gca().yaxis.set_major_locator(ymajorLocator)\n",
    "#     plt.title(titlename, fontsize = 18)\n",
    "    plt.tight_layout()\n",
    "    plt.savefig('parquet_bitmap_{}.pdf'.format(titlename),dpi=500, transparent=True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x330 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "datasets = ['normal_200M_uint32.txt','books_200M_uint32.txt','poisson_timestamps_EVENT_50000_SENSOR_2000_randomdie_OUTER_1000s_INNER_2ms_200M.csv','ml_timestamp_200M.csv']\n",
    "# datasets = ['normal_200M_uint32.txt']\n",
    "figname = ['normal','booksale','poisson','ml']\n",
    "withylabel = [1,0,1,0]\n",
    "withxlabel = [0,0,1,1]\n",
    "dataset = 'ml_timestamp_200M.csv'\n",
    "file_zstd = '/root/parquet_bitmap_zstd.csv'\n",
    "wo_zstd = []\n",
    "w_zstd = []\n",
    "cpu_wo_zstd = []\n",
    "cpu_w_zstd = []\n",
    "for method in ['DICT','FOR','LECO']:\n",
    "    wo_zstd.append(get_data(method, dataset, 'query_time')[2])\n",
    "    w_zstd.append(get_data(method, dataset, 'query_time',file_zstd)[2])\n",
    "    cpu_wo_zstd.append(get_data(method, dataset, 'query_time_preload')[2])\n",
    "    cpu_w_zstd.append(get_data(method, dataset, 'query_time_preload',file_zstd)[2])\n",
    "\n",
    "plot_zstd_bar(np.array(wo_zstd), np.array(cpu_wo_zstd), np.array(w_zstd), np.array(cpu_w_zstd),'ml_wo_zstd')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "name = 'zstd_result_new.csv'\n",
    "encoding_map = {'DICT': 8, 'FOR': 10, 'LECO': 11}\n",
    "enc_to_label = {'LECO': 'LeCo', 'FOR': 'FOR', 'DICT': 'Default', 'PLAIN': 'Plain'}\n",
    "encoding_names = []\n",
    "for enc in encoding_map.keys():\n",
    "        encoding_names.append(enc_to_label[enc])\n",
    "df = pd.read_csv(name) \n",
    "df = df[df['encoding'] != 'PLAIN']\n",
    "colors = ['darkseagreen','seagreen','sandybrown']\n",
    "# print(df)\n",
    "barWidth = 0.1\n",
    "cnt = 0\n",
    "zstd_cr_total = []\n",
    "for ds in dataset_dict:\n",
    "    no_zstd_res = df.loc[(df['file'] == ds) & (df['compression'].isnull()), 'size']\n",
    "    #divide all values in no_zstd_res by 1024\n",
    "    no_zstd_res = no_zstd_res / 1024 / 1024\n",
    "    zstd_res = df.loc[(df['file'] == ds) & (df['compression'] == '.zstd'), 'size']\n",
    "    zstd_res = zstd_res / 1024 / 1024\n",
    "    no_zstd_enc = df.loc[(df['file'] == ds) & (df['compression'].isnull()), 'encoding']\n",
    "    zstd_enc = df.loc[(df['file'] == ds) & (df['compression'] == '.zstd'), 'encoding']\n",
    "    zstd_cr = no_zstd_res.to_numpy().flatten() / zstd_res.to_numpy().flatten()\n",
    "    zstd_cr_total.extend(zstd_cr)\n",
    "    # print(no_zstd_res)\n",
    "    # print(zstd_res)\n",
    "    # print(no_zstd_enc)\n",
    "    # print(zstd_enc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_multi_bars(labels, datas, name, zstd_res_total, tick_step=1.5, group_gap=0.15, bar_gap=0):\n",
    "    codec = ['Default', 'Default-zstd', 'FOR', 'FOR-zstd', 'LeCo', 'LeCo-zstd']\n",
    "#     category_colors = plt.get_cmap('RdYlGn')(np.linspace(0.15, 0.85, len(data)))\n",
    "    category_colors = ['steelblue','lightsteelblue','seagreen','darkseagreen','sandybrown','peachpuff']\n",
    "    category_colors = [color_sns[6],color_sns[5],color_sns[3],color_sns[1],'sandybrown','peachpuff']\n",
    "    ticks = np.arange(len(labels)) * tick_step\n",
    "    group_num = len(datas)\n",
    "    group_width = tick_step - group_gap\n",
    "    bar_span = group_width / group_num\n",
    "    bar_width = bar_span - bar_gap\n",
    "    baseline_x = ticks - (group_width - bar_span) / 2\n",
    "    plt.figure(figsize=(16, 5))\n",
    "\n",
    "    plt.ylabel('File Size (MB)',fontsize=37)\n",
    "    for index, y in enumerate(datas):\n",
    "        plt.bar(baseline_x + index*bar_span, y, bar_width, label =codec[index],color = category_colors[index] )\n",
    "        \n",
    "    gap = baseline_x[1] - baseline_x[0]\n",
    "    for i in range(len(labels)):\n",
    "        zstd_cr_tmp = zstd_cr_total[(0 + i*3): (3 + i*3)]\n",
    "        zstd_res_tmp = zstd_res_total[(0 + i*3): (3 + i*3)]\n",
    "        speedup_xspace, speedup_yspace = -0.4 + i * gap, 20\n",
    "        for x, y, s in zip([bar_width*r*2 for r in range(len(zstd_res_tmp))], \n",
    "                zstd_res_tmp, zstd_cr_tmp):\n",
    "            plt.text(x + speedup_xspace-0.06, y + speedup_yspace,\n",
    "                \"%.1fx\"%(s), fontsize=20)\n",
    "    plt.legend(fontsize=21)\n",
    "    # plt.ylim([0,4])\n",
    "    ax = plt.gca()\n",
    "    ymajorLocator = MultipleLocator(500)\n",
    "    ax.yaxis.set_major_locator(ymajorLocator)\n",
    "    # ymajorLocator = MultipleLocator(1.0)\n",
    "    # ax.yaxis.set_major_locator(ymajorLocator)\n",
    "    # ymajorFormatter = FormatStrFormatter('%1.1f')\n",
    "    # ax.yaxis.set_major_formatter(ymajorFormatter)\n",
    "#     ax.yaxis.tick_right()\n",
    "    plt.xlim([min(baseline_x)-0.2, max(baseline_x)+1.5])\n",
    "    plt.yticks(fontsize=22)\n",
    "    plt.xticks(ticks, labels, fontsize=30)\n",
    "    plt.tight_layout()\n",
    "    plt.savefig(f'zstd_{name}.pdf',dpi=500, transparent=True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = ['normal', 'books', 'poisson', 'ml']\n",
    "datas = [[], [], [], [], [], []]\n",
    "zstd_res_total = []\n",
    "for ds in dataset_dict:\n",
    "    no_zstd_res = df.loc[(df['file'] == ds) & (df['compression'].isnull()), 'size']\n",
    "    #divide all values in no_zstd_res by 1024\n",
    "    no_zstd_res = list(no_zstd_res / 1024 / 1024)\n",
    "    zstd_res = df.loc[(df['file'] == ds) & (df['compression'] == '.zstd'), 'size']\n",
    "    zstd_res = list(zstd_res / 1024 / 1024)\n",
    "    zstd_res_total.extend(zstd_res)\n",
    "    data = []\n",
    "    for i in range(len(no_zstd_res)):\n",
    "        datas[i*2].append(no_zstd_res[i])\n",
    "        datas[i*2 + 1].append(zstd_res[i])\n",
    "create_multi_bars(labels, datas, 'total', zstd_res_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.15"
  },
  "vscode": {
   "interpreter": {
    "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}