{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.rcParams[\"font.family\"] = \"Times New Roman\"\n",
    "plt.rcParams[\"font.size\"] = 16\n",
    "\n",
    "g_label_fontsize = 16\n",
    "\n",
    "colors = [\n",
    "    \"#455D7A\",\n",
    "    \"#233142\",\n",
    "    \"#F95959\",\n",
    "]\n",
    "\n",
    "edgecolors = [\n",
    "    \"#FFFFFF\",\n",
    "    \"#FFFFFF\",\n",
    "    \"#FFFFFF\",\n",
    "]\n",
    "\n",
    "hatches = [\"\\\\\\\\\", \"\", \"\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 2100x2470.59 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(\n",
    "    figsize=(7, 14 / 1.7), ncols=1, nrows=3, constrained_layout=True, dpi=300\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels_name = [\n",
    "    \"ModelA\\n8FSDP\",\n",
    "    \"ModelA\\n16FSDP\",\n",
    "    \"ModelB\\n8FSDP\",\n",
    "    \"ModelB\\n16FSDP\",\n",
    "    \"ModelC\\n8FSDP\",\n",
    "    \"ModelC\\n16FSDP\",\n",
    "    \"ModelD\\n8FSDP\",\n",
    "    \"ModelD\\n16FSDP\",\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MFU\n",
    "data_a = {\n",
    "    labels_name[0]: [53, 53, 65],  # 22.64\n",
    "    labels_name[1]: [53, 53, 65],  # 22.64\n",
    "    labels_name[2]: [35, 35, 48],  # 37\n",
    "    labels_name[3]: [35, 35, 48],  # 37\n",
    "    labels_name[4]: [53, 53, 65],  # 22.64\n",
    "    labels_name[5]: [53, 53, 65],  # 22.64\n",
    "    labels_name[6]: [53, 53, 65],  # 22.64\n",
    "    labels_name[7]: [53, 53, 65],  # 22.64\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# overlapping rate\n",
    "data_b = {\n",
    "    labels_name[0]: [54, 62, 12],\n",
    "    labels_name[1]: [54, 62, 12],\n",
    "    labels_name[2]: [52, 62, 12],\n",
    "    labels_name[3]: [52, 62, 12],\n",
    "    labels_name[4]: [52, 62, 12],\n",
    "    labels_name[5]: [52, 62, 12],\n",
    "    labels_name[6]: [53, 62, 12],\n",
    "    labels_name[7]: [52, 62, 12],\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "# communication baseline\n",
    "data_c = {\n",
    "    labels_name[0]: 70,\n",
    "    labels_name[1]: 70,\n",
    "    labels_name[2]: 70,\n",
    "    labels_name[3]: 70,\n",
    "    labels_name[4]: 70,\n",
    "    labels_name[5]: 70,\n",
    "    labels_name[6]: 70,\n",
    "    labels_name[7]: 70,\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_d = {\n",
    "    labels_name[0]: [124, 124, 128],  # 22.64\n",
    "    labels_name[1]: [124, 124, 128],  # 22.64\n",
    "    labels_name[2]: [124, 124, 128],  # 37\n",
    "    labels_name[3]: [124, 124, 128],  # 37\n",
    "    labels_name[4]: [124, 124, 128],  # 22.64\n",
    "    labels_name[5]: [124, 124, 128],  # 22.64\n",
    "    labels_name[6]: [124, 124, 128],  # 22.64\n",
    "    labels_name[7]: [124, 124, 128],  # 22.64\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "legend_labels = [\"FSDP\", \"XLA\", \"DLRover-Lynx\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "bar_width = 0.2\n",
    "group_spaing = 0.15\n",
    "\n",
    "group_positions = {}\n",
    "current_pos = 0\n",
    "\n",
    "for x_label, y_data in data_a.items():\n",
    "    group_positions[x_label] = []\n",
    "    for i in range(len(y_data)):\n",
    "        group_positions[x_label].append(current_pos)\n",
    "        current_pos += bar_width\n",
    "    current_pos += group_spaing\n",
    "\n",
    "group_centers = {}\n",
    "for x_label, positions in group_positions.items():\n",
    "    group_centers[x_label] = sum(positions) / len(positions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '(a)')"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "label_set = set()\n",
    "for x_label, y_data in data_a.items():\n",
    "    positions = group_positions[x_label]\n",
    "    for i, (pos, value, color, edgecolor, hatch, label) in enumerate(\n",
    "        zip(\n",
    "            positions,\n",
    "            y_data,\n",
    "            colors,\n",
    "            edgecolors,\n",
    "            hatches,\n",
    "            legend_labels,\n",
    "        )\n",
    "    ):\n",
    "        if label in label_set:\n",
    "            local_label = None\n",
    "        else:\n",
    "            local_label = label\n",
    "            label_set.add(local_label)\n",
    "        ax[0].bar(\n",
    "            pos,\n",
    "            value,\n",
    "            width=bar_width,\n",
    "            color=color,\n",
    "            label=local_label,\n",
    "            hatch=hatch,\n",
    "            edgecolor=edgecolor,\n",
    "        )\n",
    "\n",
    "ax[0].set_xticks(list(group_centers.values()))\n",
    "ax[0].set_xticklabels(list(data_a.keys()))\n",
    "\n",
    "ax[0].set_ylim(0, 100)\n",
    "ax[0].set_yticks([0, 50, 100])\n",
    "ax[0].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
    "\n",
    "ax[0].tick_params(axis=\"x\", bottom=False, labelsize=11, pad=1)\n",
    "ax[0].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
    "\n",
    "ax[0].set_ylabel(\"MFU (%)\", fontsize=g_label_fontsize)\n",
    "ax[0].set_title(\"(a)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '(b)')"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for x_label, y_data in data_d.items():\n",
    "    positions = group_positions[x_label]\n",
    "    for i, (pos, value, color, edgecolor, hatch) in enumerate(\n",
    "        zip(\n",
    "            positions,\n",
    "            y_data,\n",
    "            colors,\n",
    "            edgecolors,\n",
    "            hatches,\n",
    "        )\n",
    "    ):\n",
    "        ax[1].bar(\n",
    "            pos,\n",
    "            value,\n",
    "            width=bar_width,\n",
    "            color=color,\n",
    "            edgecolor=edgecolor,\n",
    "            hatch=hatch,\n",
    "            label=local_label,\n",
    "        )\n",
    "\n",
    "\n",
    "ax[1].set_xticks(list(group_centers.values()))\n",
    "ax[1].set_xticklabels(list(data_a.keys()))\n",
    "\n",
    "ax[1].set_ylim(0, 150)\n",
    "ax[1].set_yticks([0, 50, 100])\n",
    "ax[1].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
    "\n",
    "ax[1].tick_params(axis=\"x\", bottom=False, labelsize=11, pad=1)\n",
    "ax[1].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
    "\n",
    "ax[1].set_ylabel(\"Throughput (tokens/s)\", fontsize=g_label_fontsize)\n",
    "ax[1].set_title(\"(b)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '(c)')"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "label_set = set()\n",
    "total_label = \"Non-Overlap Communication\"\n",
    "\n",
    "for x_label, y_data in data_b.items():\n",
    "    positions = group_positions[x_label]\n",
    "    for i, (pos, value, diff_value, color, edgecolor, label, hatch) in enumerate(\n",
    "        zip(\n",
    "            positions,\n",
    "            y_data,\n",
    "            list(data_c.values()),\n",
    "            colors,\n",
    "            edgecolors,\n",
    "            legend_labels,\n",
    "            hatches,\n",
    "        )\n",
    "    ):\n",
    "        if label in label_set:\n",
    "            local_label = None\n",
    "        else:\n",
    "            local_label = label\n",
    "            label_set.add(local_label)\n",
    "\n",
    "        ax[2].bar(\n",
    "            pos,\n",
    "            value,\n",
    "            width=bar_width,\n",
    "            color=color,\n",
    "            edgecolor=edgecolor,\n",
    "            hatch=hatch,\n",
    "            #label=local_label,\n",
    "        )\n",
    "\n",
    "        ax[2].bar(\n",
    "            pos,\n",
    "            diff_value - value,\n",
    "            bottom=value,\n",
    "            color=\"#E3E3E3\",\n",
    "            edgecolor=edgecolor,\n",
    "            width=bar_width,\n",
    "            label=total_label,\n",
    "        )\n",
    "        if total_label is not None:\n",
    "            total_label = None\n",
    "\n",
    "ax[2].set_xticks(list(group_centers.values()))\n",
    "ax[2].set_xticklabels(list(data_a.keys()))\n",
    "\n",
    "ax[2].set_ylim(0, 100)\n",
    "ax[2].set_yticks([0, 50, 100])\n",
    "ax[2].set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
    "\n",
    "ax[2].tick_params(axis=\"x\", bottom=False, labelsize=11, pad=1)\n",
    "ax[2].tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
    "\n",
    "ax[2].set_ylabel(\"Comm-Comp Overlap Ratio (%)\", fontsize=g_label_fontsize)\n",
    "ax[2].set_title(\"(c)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f3c9c537380>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax[0].legend(\n",
    "    ncol=3,\n",
    "    loc=\"upper center\",\n",
    "    frameon=False,\n",
    "    shadow=False,\n",
    "    fontsize=g_label_fontsize,\n",
    ")\n",
    "\n",
    "ax[2].legend(\n",
    "    ncol=1,\n",
    "    loc=\"upper center\",\n",
    "    frameon=False,\n",
    "    shadow=False,\n",
    "    fontsize=g_label_fontsize,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2100x2470.59 with 3 Axes>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.savefig(\"end_to_end_fsdp.pdf\", bbox_inches=\"tight\", dpi=1000)\n",
    "fig"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}