{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6fa6ff69",
   "metadata": {},
   "source": [
    "# Flash Attention：二维 PID 与因果块扫描\n",
    "\n",
    "运行真实 causal Flash Attention，并展示 query 块、batch/head 轴和因果 K/V 扫描。\n",
    "\n",
    "> 动画按逻辑 PID 顺序播放，不代表 GPU 的真实执行先后或 SM 调度。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ede90f7",
   "metadata": {},
   "source": [
    "## 1. 环境检查与教程源码加载\n"
   ]
  },
  {
   "cell_type": "code",
   "id": "700a40e8",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-08-27T11:27:11.862683200Z",
     "start_time": "2026-08-27T11:27:11.805939100Z"
    }
   },
   "source": [
    "from pathlib import Path\n",
    "import importlib.util\n",
    "import math\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import animation\n",
    "from matplotlib.colors import ListedColormap\n",
    "from matplotlib import font_manager\n",
    "from IPython.display import HTML, display\n",
    "import numpy as np\n",
    "import torch\n",
    "import triton\n",
    "\n",
    "assert torch.cuda.is_available(), \"本 Notebook 必须在支持 CUDA 的环境中运行。\"\n",
    "DEVICE = torch.device(\"cuda\")\n",
    "torch.manual_seed(0)\n",
    "print(\"GPU:\", torch.cuda.get_device_name(0))\n",
    "print(\"PyTorch:\", torch.__version__, \"Triton:\", triton.__version__)\n",
    "\n",
    "def configure_chinese_font():\n",
    "    candidates = [\n",
    "        \"Noto Sans CJK SC\",\n",
    "        \"WenQuanYi Zen Hei\",\n",
    "        \"Microsoft YaHei\",\n",
    "        \"SimHei\",\n",
    "    ]\n",
    "    installed = {font.name for font in font_manager.fontManager.ttflist}\n",
    "    selected = next((name for name in candidates if name in installed), None)\n",
    "    if selected is None:\n",
    "        raise RuntimeError(\n",
    "            \"未找到中文字体。请在 Ubuntu 中安装 fonts-noto-cjk 或 fonts-wqy-zenhei。\"\n",
    "        )\n",
    "    plt.rcParams[\"font.family\"] = \"sans-serif\"\n",
    "    plt.rcParams[\"font.sans-serif\"] = [selected, \"DejaVu Sans\"]\n",
    "    plt.rcParams[\"axes.unicode_minus\"] = False\n",
    "    print(\"Matplotlib 中文字体:\", selected)\n",
    "\n",
    "configure_chinese_font()\n",
    "\n",
    "def load_tutorial(filename, module_name):\n",
    "    path = Path.cwd() / filename\n",
    "    spec = importlib.util.spec_from_file_location(module_name, path)\n",
    "    module = importlib.util.module_from_spec(spec)\n",
    "    spec.loader.exec_module(module)\n",
    "    return module\n",
    "\n",
    "def show_animation(fig, update, frame_count, interval=700):\n",
    "    anim = animation.FuncAnimation(\n",
    "        fig, update, frames=frame_count, interval=interval, repeat=True, blit=False\n",
    "    )\n",
    "    plt.close(fig)\n",
    "    return HTML(anim.to_jshtml())\n",
    "\n",
    "tutorial = load_tutorial('flash_attention.py', 'flash_attention_tutorial')\n"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "GPU: NVIDIA GeForce RTX 4070 SUPER\n",
      "PyTorch: 2.9.0+cu128 Triton: 3.5.0\n",
      "Matplotlib 中文字体: Noto Sans CJK SC\n"
     ]
    }
   ],
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "id": "0a20cad4",
   "metadata": {},
   "source": [
    "## 2. 参数修改区\n",
    "\n",
    "可修改下列小尺寸参数。请保留注释中说明的内核约束。\n"
   ]
  },
  {
   "cell_type": "code",
   "id": "ef06cb70",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-08-27T11:27:12.819090800Z",
     "start_time": "2026-08-27T11:27:12.800158700Z"
    }
   },
   "source": [
    "B, H, N, DH, BLOCK_Q, BLOCK_KV = 1, 2, 37, 16, 16, 16\n",
    "SCALE = 1 / math.sqrt(DH)\n"
   ],
   "outputs": [],
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "id": "8c94df22",
   "metadata": {},
   "source": [
    "## 3. 真实 Triton 内核与 PyTorch 数值验证\n"
   ]
  },
  {
   "cell_type": "code",
   "id": "3c6f18bb",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-08-27T11:27:14.391134100Z",
     "start_time": "2026-08-27T11:27:13.763072500Z"
    }
   },
   "source": [
    "q = torch.randn((B, H, N, DH), device=DEVICE, dtype=torch.float32, requires_grad=True)\n",
    "k = torch.randn_like(q, requires_grad=True); v = torch.randn_like(q, requires_grad=True)\n",
    "tri = tutorial.triton_attention(q, k, v, SCALE)\n",
    "ref = torch.nn.functional.scaled_dot_product_attention(q, k, v, is_causal=True, scale=SCALE)\n",
    "torch.testing.assert_close(tri, ref, atol=5e-3, rtol=0)\n",
    "do = torch.randn_like(tri) * 0.1; tri.backward(do, retain_graph=True); tri_grads = [t.grad.clone() for t in (q,k,v)]\n",
    "for t in (q,k,v): t.grad = None\n",
    "ref.backward(do)\n",
    "for got, expected in zip(tri_grads, [q.grad,k.grad,v.grad]): torch.testing.assert_close(got, expected, atol=5e-3, rtol=0)\n",
    "print(\"前向和反向验证通过\")\n"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "前向和反向验证通过\n"
     ]
    }
   ],
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "id": "6afd24e0",
   "metadata": {},
   "source": [
    "## 4. PID 总览静态图\n"
   ]
  },
  {
   "cell_type": "code",
   "id": "4d7c730f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-08-27T11:27:14.688759700Z",
     "start_time": "2026-08-27T11:27:14.525217300Z"
    }
   },
   "source": [
    "num_q, num_bh = math.ceil(N / BLOCK_Q), B * H\n",
    "grid = np.arange(num_q * num_bh).reshape(num_bh, num_q)\n",
    "fig, ax = plt.subplots(figsize=(8, 3)); ax.imshow(grid, cmap=\"tab20\", aspect=\"auto\")\n",
    "for bh in range(num_bh):\n",
    "    for qb in range(num_q): ax.text(qb, bh, f\"({qb},{bh})\", ha=\"center\", va=\"center\")\n",
    "ax.set_xlabel(\"axis 0：query 块\"); ax.set_ylabel(\"axis 1：batch/head\"); ax.set_title(\"二维逻辑 PID 网格\"); plt.show()\n"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ],
      "image/png": "[encoded data, 32936 characters]"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "id": "b75c6044",
   "metadata": {},
   "source": [
    "## 5. PID 与算法阶段逐帧动画\n"
   ]
  },
  {
   "cell_type": "code",
   "id": "e17d5503",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-08-27T11:27:22.414153300Z",
     "start_time": "2026-08-27T11:27:17.368876900Z"
    }
   },
   "source": [
    "num_kv = math.ceil(N / BLOCK_KV)\n",
    "frames = [(\"前向\", bh, qb, kv) for bh in range(num_bh) for qb in range(num_q) for kv in range(qb + 1)]\n",
    "frames += [(stage, bh, qb, -1) for stage in [\"预计算 Delta\", \"计算 dK/dV\", \"计算 dQ\"] for bh in range(num_bh) for qb in range(num_q)]\n",
    "fig, axes = plt.subplots(1, num_bh, figsize=(12, 5), constrained_layout=True)\n",
    "if num_bh == 1: axes = [axes]\n",
    "def update(frame):\n",
    "    stage, bh, qb, kv = frames[frame]\n",
    "    for index, ax in enumerate(axes):\n",
    "        ax.clear(); matrix = np.full((num_q, num_kv), -1.0)\n",
    "        for row in range(num_q): matrix[row, :row + 1] = 0\n",
    "        if index == bh: matrix[qb, kv] = 1 if kv >= 0 else 2\n",
    "        ax.imshow(matrix, cmap=ListedColormap([\"#eeeeee\", \"#bbbbbb\", \"#e41a1c\", \"#377eb8\"]), vmin=-1, vmax=2)\n",
    "        ax.set_title(f\"batch/head {index}\"); ax.set_xlabel(\"K/V 块\"); ax.set_ylabel(\"Q 块\")\n",
    "    fig.suptitle(f\"{stage}：BH={bh}, Q 块={qb}\" + (f\", KV 块={kv}\" if kv >= 0 else \"\"))\n",
    "display(show_animation(fig, update, len(frames), interval=600))\n"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ],
      "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, Microsoft 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_imge98b1696aa624942951d5dd8a08e2366\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slidere98b1696aa624942951d5dd8a08e2366\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anime98b1696aa624942951d5dd8a08e2366.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anime98b1696aa624942951d5dd8a08e2366.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_selecte98b1696aa624942951d5dd8a08e2366\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_e98b1696aa624942951d5dd8a08e2366\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_e98b1696aa624942951d5dd8a08e2366\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_e98b1696aa624942951d5dd8a08e2366\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_e98b1696aa624942951d5dd8a08e2366\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_e98b1696aa624942951d5dd8a08e2366\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_e98b1696aa624942951d5dd8a08e2366\">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_imge98b1696aa624942951d5dd8a08e2366\";\n",
       "    var slider_id = \"_anim_slidere98b1696aa624942951d5dd8a08e2366\";\n",
       "    var loop_select_id = \"_anim_loop_selecte98b1696aa624942951d5dd8a08e2366\";\n",
       "    var frames = new Array(30);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABLAAAAH0CAYAAAAt0NQSAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjExLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvctoD+AAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAdvNJREFUeJzt3Xd0FdXexvEnPaRAIKG30KV3pHcE6UUEFBUviEixXRQp0hTQ\\\n",
       "K4piQ72KIoJYKALSlCYgVVokhN4CARISkkASUvb7R96cyyEJJJgyge9nrbNWzp49c34znORsnjOz\\\n",
       "x8EYYwQAAAAAAABYlGNuFwAAAAAAAADcDgEWAAAAAAAALI0ACwAAAAAAAJZGgAUAQB7x2Wef6csv\\\n",
       "v0x3+fvvv6/JkydneHt79+5Vhw4dtGvXriyoDpm1detWLV68OM1lX375pX788cccrij3LVy4ULt3\\\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",
       "        anime98b1696aa624942951d5dd8a08e2366 = new Animation(frames, img_id, slider_id, 599.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "id": "39d4624c",
   "metadata": {},
   "source": [
    "## 6. 结论\n",
    "\n",
    "前向 PID 固定 Q 块并扫描因果允许的 K/V 块；反向先计算 Delta，再组织 K/V 和 Q 梯度。\n",
    "\n",
    "逻辑 PID 映射由 launch grid 和源码索引关系确定；实际 GPU 调度可能并发且顺序不同。\n"
   ]
  }
 ],
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   "version": "3.12"
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