paper_note/lynx/end_to_end_overlap.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 152,
   "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",
    "    \"#5D7599\",\n",
    "    \"#233142\",\n",
    "    \"#F95959\",\n",
    "]\n",
    "\n",
    "edgecolors = [\n",
    "    \"#FFFFFF\",\n",
    "    \"#FFFFFF\",\n",
    "    \"#FFFFFF\",\n",
    "]\n",
    "\n",
    "hatches = [\"\\\\\\\\\", \"\", \"\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 4200x1050 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(\n",
    "    figsize=(14, 14 / 4), ncols=1, nrows=1, constrained_layout=True, dpi=300\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels_name_a = [\n",
    "    \"ModelA\\n8DP\",\n",
    "    \"ModelA\\n8TP\",\n",
    "    \"ModelB\\n8TP\",\n",
    "    \"ModelA\\n2DP$\\\\times$4TP\",\n",
    "    \"ModelA\\n2DP$\\\\times$8TP\",\n",
    "    \"ModelA\\n4DP$\\\\times$2TP\",\n",
    "    \"ModelB\\n4DP$\\\\times$2TP\",\n",
    "]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# overlapp\n",
    "data_a = {\n",
    "    labels_name_a[0]: [36.1, 100, 38.3],  # modela 8DP\n",
    "    labels_name_a[1]: [16.9, 100, 46.7],  # modela 8TP\n",
    "    labels_name_a[2]: [18.7, 100, 100],  # modelb 8TP\n",
    "    labels_name_a[3]: [20.1, 100, 100],  # modela 2DP 4TP\n",
    "    labels_name_a[4]: [100, 100, 100],  # modela 2DP 8TP\n",
    "    labels_name_a[5]: [17.4, 100, 100],  # modele a4DP 2TP\n",
    "    labels_name_a[6]: [-1, 100, 25.3],  # modelb 4DP 2TP\n",
    "}\n",
    "# total\n",
    "data_a_diff = {\n",
    "    labels_name_a[0]: 38.4,  # modela 8DP\n",
    "    labels_name_a[1]: 57.6,  # modela 8TP\n",
    "    labels_name_a[2]: 52.2,  # modelb 8TP\n",
    "    labels_name_a[3]: 46.8,  # modela 2DP 4TP\n",
    "    labels_name_a[4]: 100,  # modela 2DP 8TP\n",
    "    labels_name_a[5]: 43.4,  # modela 4DP 2TP\n",
    "    labels_name_a[6]: 53.9,  # modelb 4DP 2TP\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {},
   "outputs": [],
   "source": [
    "legend_labels = [\"Megatron-LM\", \"XLA\", \"DLRover-Lynx\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [],
   "source": [
    "bar_width = 0.2\n",
    "group_spaing = 0.15\n",
    "\n",
    "group_positions = {}\n",
    "current_pos = 0\n",
    "\n",
    "x_label_cnt = len(data_a.keys())\n",
    "x_label_group_cnt = 3\n",
    "\n",
    "for idx in range(x_label_cnt):\n",
    "    group_positions[idx] = []\n",
    "    for _ in range(x_label_group_cnt):\n",
    "        group_positions[idx].append(current_pos)\n",
    "        current_pos += bar_width\n",
    "    current_pos += group_spaing\n",
    "\n",
    "group_centers = {}\n",
    "for idx, positions in group_positions.items():\n",
    "    group_centers[idx] = sum(positions) / len(positions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(13.333333333333346, 0.5, 'Communication Ratio (%)')"
      ]
     },
     "execution_count": 158,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "label_set = set()\n",
    "\n",
    "for idx, (x_label, y_data) in enumerate(data_a.items()):\n",
    "    diff_value = data_a_diff[x_label]\n",
    "    positions = group_positions[idx]\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",
    "\n",
    "        if value == -1:\n",
    "            ax.text(\n",
    "                pos,\n",
    "                1,\n",
    "                \"$\\\\times$OOM\",\n",
    "                rotation=90,\n",
    "                ha=\"center\",\n",
    "                va=\"bottom\",\n",
    "                color=\"red\",\n",
    "            )\n",
    "            continue\n",
    "        ax.bar(\n",
    "            pos,\n",
    "            diff_value - value,\n",
    "            width=bar_width,\n",
    "            color=color,\n",
    "            label=local_label,\n",
    "            hatch=hatch,\n",
    "            edgecolor=edgecolor,\n",
    "        )\n",
    "\n",
    "        total_label = None\n",
    "        if idx == 4 and i == 1:\n",
    "            total_label = \"Overlapping Communication\"\n",
    "\n",
    "        ax.bar(\n",
    "            pos,\n",
    "            value,\n",
    "            width=bar_width,\n",
    "            color=\"#E3E3E3\",\n",
    "            alpha=0.6,\n",
    "            label=total_label,\n",
    "            edgecolor=edgecolor,\n",
    "            bottom=diff_value - value,\n",
    "        )\n",
    "\n",
    "ax.set_xticks(list(group_centers.values()))\n",
    "ax.set_xticklabels(list(data_a.keys()))\n",
    "\n",
    "ax.set_ylim(0, 100)\n",
    "ax.set_yticks([0, 50, 100])\n",
    "ax.set_yticklabels([\"0\", \"50\", \"100\"], rotation=90, ha=\"center\", va=\"center\")\n",
    "\n",
    "ax.tick_params(axis=\"x\", bottom=False, labelsize=g_label_fontsize, pad=1)\n",
    "ax.tick_params(axis=\"y\", left=True, labelsize=g_label_fontsize, pad=5)\n",
    "\n",
    "ax.set_ylabel(\"Communication Ratio (%)\", fontsize=g_label_fontsize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f5548dae990>"
      ]
     },
     "execution_count": 159,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.legend(\n",
    "    ncol=4,\n",
    "    loc=\"upper center\",\n",
    "    frameon=False,\n",
    "    shadow=False,\n",
    "    bbox_to_anchor=(0.5, 1.1),\n",
    "    fontsize=g_label_fontsize,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 4200x1050 with 1 Axes>"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.savefig(\"end_to_end_overlap.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
}