{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ４章のKeras版\n",
    "Deep Reinforcement Learning in Actionの４章をTorchではなく、Kerasを使って試してみました。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Policy Gradient Methods（方策勾配法）\n",
    "４章で使用されている更新方法は、Sutton et al., 1999がベースとなっているみたい。\n",
    "- https://papers.nips.cc/paper/1713-policy-gradient-methods-for-reinforcement-learning-with-function-approximation.pdf\n",
    "\n",
    "式の導出は、以下のサイトに紹介されています。\n",
    "- <a href=\"https://qiita.com/itok_msi/items/3c278e06cf2b0bb32f4e\">方策勾配定理のすっきりした証明\n",
    "</a>\n",
    "\n",
    "３章との違いは、行動価値関数Q(s,a)をactionを行う確率とし、モデルの最後の活性化関数にsoftmaxを使用していること。\n",
    "\n",
    "倒立台車のように連続した空間の場合、方策ベースの手法が適しているとのことです。\n",
    "\n",
    "### 方策勾配の更新式\n",
    "$s_t$をstate、$a_t$をaction、$p(s_{t+1} | s_t, a_t)$を状態変化を表す確率分布、$r(s_t, a_t)$を即時報酬、$\\pi_{\\theta}(a_t|t_t)$を方策（policy）に従って行動した場合のstateとactionの列を$\\tau$とします。\n",
    "$$\n",
    "\\tau = (s_1, a_1, ... , s_T, a_T, S_{T+1})\n",
    "$$\n",
    "$$\n",
    "p_{\\theta}(\\tau) = p(s_1) \\prod^T_{t=1}p(s_{t|s_t)+1} | s_t, a_t) \\pi_{\\theta}(a_t, s_t)\n",
    "$$\n",
    "\n",
    "累積報酬の期待値$J(\\theta)$を最大化するような$\\pi_{\\theta}$のパラメータ$\\theta$を見つけます。\n",
    "\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "    R(\\tau)    & \\equiv  & \\sum^T_{t=1} r(s_t, a_t) \\\\\n",
    "    J(\\theta)  & \\equiv  & \\mathbb{E}_{\\pi_{\\theta}}[R(\\tau)] \\\\\n",
    "                 & = & \\sum_{\\tau} R(\\tau)p_{\\theta}(\\tau)\n",
    "\\end{eqnarray}\n",
    "$$\n",
    "\n",
    "とすると以下の方策勾配定理が成り立ちます。\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "    \\nabla J(\\theta)  & = & \\mathbb{E} \\left [ \\frac{\\partial \\pi_{\\theta}(a|s)}{\\partial \\theta} \\frac{1}{\\pi_{\\theta}(a|s)} Q^{\\pi_{\\theta}}(s, a) \\right ] \\\\\n",
    "                 & = & \\mathbb{E} \\left [ \\nabla_{\\theta} log \\, \\pi_{\\theta} (a|s) \\, Q^{\\pi_{\\theta}}(s, a) \\right ]\n",
    "\\end{eqnarray}\n",
    "$$\n",
    "\n",
    "ここで、式の展開に以下の公式を使うのポイントみたいです。\n",
    "\n",
    "$$\n",
    "f \\frac{d \\, log(f)}{dx} = f \\frac{df}{dx} \\frac{1}{f} = \\frac{df}{dx}\n",
    "$$\n",
    "\n",
    "行動価値関数$Q(s, a)$は、以下のように定義されます。\n",
    "\n",
    "$$\n",
    "    Q(s, a) = \\sum_{s'} P(s'\\,|\\,s,a)[r(s,a, s') + \\gamma V(s')]\n",
    "$$\n",
    "\n",
    "$$\n",
    "    V(s) = \\sum_a \\pi(a|s) Q(s,a)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 準備\n",
    "倒立台車のシミュレーターは、OpenAIのgymからCartPole-v0を使用します。\n",
    "\n",
    "OpenAI（可視化にopengl, xvfbとJSAnimationを使用）のインストールは、以下のように行いました。\n",
    "```bash\n",
    "$ apt-get install python-opengl xvfb\n",
    "$ pip install JSAnimation\n",
    "$ pip install gym\n",
    "```\n",
    "最初に必要なパッケージをインポートします。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import random\n",
    "from IPython.display import Image\n",
    "from IPython.display import clear_output\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "# keras用のパッケージをインポート\n",
    "import keras.layers as layers\n",
    "from keras.models import Model\n",
    "from keras.optimizers import Adam\n",
    "import keras.backend as K\n",
    "\n",
    "# OpenAI用パッケージをインポート\n",
    "import gym"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "\n",
    "def showResult(result, title='', x_axis='', y_axis='', showOriginal=False):\n",
    "    def running_mean(x, N=50):\n",
    "        cumsum = np.cumsum(np.insert(x, 0, 0)) \n",
    "        return (cumsum[N:] - cumsum[:-N]) / float(N)\n",
    "    \n",
    "    if showOriginal:\n",
    "        d = pd.DataFrame(result)\n",
    "    else:\n",
    "        d = pd.DataFrame(running_mean(result))\n",
    "    # loss,をプロット\n",
    "    sns.set()\n",
    "    ax = d.plot(title=title)\n",
    "    ax.set_xlabel(x_axis)\n",
    "    ax.set_ylabel(y_axis)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## kerasのモデル\n",
    "kerasで独自の損失関数で計算する例は、あまり見つかりません。\n",
    "\n",
    "唯一以下のサイトに入力パラメータに状態と割引報酬を渡し、累積報酬の期待値 J(θ) の勾配を求める例がありました。\n",
    "- <a href=\"https://github.com/breeko/Simple-Reinforcement-Learning-with-Tensorflow/blob/master/Part%202%20-%20Policy-based%20Agents%20with%20Keras.ipynb\">Simple-Reinforcement-Learning-with-Tensorflow</a>\n",
    "\n",
    "この方法では、割引報酬と状態から計算されたアクションの確率を使って、custom_loss関数で勾配を計算しています。元の式は、累積報酬最大化なので、先頭にマイナスを付けて損失関数が最小になるようにしています。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "D_in, H, D_out = 4, 150, 2\n",
    "learning_rate = 0.0009\n",
    "\n",
    "# 例題がleakyReLUを使っているので、合わせる。\n",
    "from keras.layers.advanced_activations import LeakyReLU\n",
    "from keras.initializers import glorot_uniform\n",
    "\n",
    "# 以下のURLを参照\n",
    "# https://github.com/breeko/Simple-Reinforcement-Learning-with-Tensorflow/blob/master/Part%202%20-%20Policy-based%20Agents%20with%20Keras.ipynb\n",
    "# 中間層の情報を使って損失関数を定義し、評価用モデルと学習用モデルを使うところもすごい！\n",
    "def createModel(learning_rate=learning_rate):\n",
    "    inp = layers.Input(shape=(D_in,), name=\"input_x\")\n",
    "    adv = layers.Input(shape=(1,), name=\"advantages\")\n",
    "    x = layers.Dense(H, \n",
    "                     activation=LeakyReLU(), \n",
    "                     use_bias=False,\n",
    "                     kernel_initializer=glorot_uniform(seed=42),\n",
    "                     name=\"dense_1\")(inp)\n",
    "    out = layers.Dense(D_out, \n",
    "                       activation=\"softmax\", \n",
    "                       use_bias=False,\n",
    "                       kernel_initializer=glorot_uniform(seed=42),\n",
    "                       name=\"out\")(x)\n",
    "    \n",
    "    def custom_loss(y_true, y_pred):\n",
    "        # pred is output from neural network, a is action index\n",
    "        # r is return (sum of rewards to end of episode), d is discount factor\n",
    "        return -K.sum(adv * K.log(y_pred)) # element-wise multipliy, then sum\n",
    "\n",
    "    model_train = Model(inputs=[inp, adv], outputs=out)\n",
    "    model_train.compile(loss=custom_loss, optimizer=Adam(lr=learning_rate))\n",
    "    model_predict = Model(inputs=[inp], outputs=out)\n",
    "    return model_train, model_predict"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## シミュレーション環境\n",
    "処理分かりやすくするために、４章の例題にシミュレーション環境SimulationEnvクラスを用意しました。\n",
    "\n",
    "### 割引報酬の計算\n",
    "割引報酬の計算の計算は少しトリッキーです。\n",
    "\n",
    "以下のように指数関数的に割り引かれるようにします。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2.     1.98   1.9602]\n"
     ]
    }
   ],
   "source": [
    "r = np.array([2, 2, 2])\n",
    "lenr = len(r)\n",
    "gamma = 0.99\n",
    "d_r = np.power(gamma, np.arange(lenr)) * r\n",
    "print(d_r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 倒立台車のシミュレーション環境\n",
    "class SimulationEnv(object):\n",
    "    # コンストラクター\n",
    "    def __init__(self, model_train, model_predict, game, gamma):\n",
    "        self.model_train = model_train\n",
    "        self.model_predict = model_predict\n",
    "        self.game = game\n",
    "        self.gamma = gamma\n",
    "    \n",
    "    # 現在の倒立台車の状態を返す\n",
    "    def reset(self):\n",
    "        self.transitions = []\n",
    "        return game.reset()\n",
    "    \n",
    "    # アクションを返す\n",
    "    def action(self, state):\n",
    "        act_prob = model_predict.predict(state.reshape(1, D_in))[0]\n",
    "        # サンプリング\n",
    "        action = np.random.choice(np.array([0,1]), p=act_prob)\n",
    "        return action\n",
    "    \n",
    "    # 割引報酬（減衰率（gamma）を考慮した）を返す\n",
    "    def discount_rewards(self, rewards):\n",
    "        lenr = len(rewards)\n",
    "        d_rewards = np.power(self.gamma,np.arange(lenr)) * rewards \n",
    "        d_rewards = (d_rewards - d_rewards.mean()) / (d_rewards.std() + 1e-07)\n",
    "        return d_rewards\n",
    "    \n",
    "    # 次のステップに進む（状態、アクション、報酬を記録）\n",
    "    def step(self, state):\n",
    "        action = self.action(state)\n",
    "        new_state, reward, done, info = game.step(action)\n",
    "        self.transitions.append((state, action, reward))\n",
    "        return (new_state, reward, done)\n",
    "    \n",
    "    # エピソードでの状態の遷移（transitions）を元にmodel_trainを更新\n",
    "    def update(self):\n",
    "        ep_len = len(self.transitions) # episode length\n",
    "        preds = np.zeros(ep_len)\n",
    "        rewards = np.zeros(ep_len)\n",
    "        states = []\n",
    "        # model_predictを使ってエピソードの各ステップのaction確率の予測値を計算\n",
    "        for i in range(ep_len): #for each step in episode\n",
    "            state, action, reward = self.transitions[i]\n",
    "            pred = model_predict.predict(state.reshape(1, D_in))[0]\n",
    "            preds[i] = pred[action]\n",
    "            rewards[i] = reward\n",
    "            states.append(state)\n",
    "        #  ディスカウント報酬とaction確率の予測値でmodel_trainを更新\n",
    "        discounted_rewards =  self.discount_rewards(rewards)\n",
    "        states = np.array(states).reshape(ep_len, D_in)\n",
    "        loss = model_train.train_on_batch([states, discounted_rewards] , preds)\n",
    "        return loss\n",
    "    \n",
    "    # クローズ処理\n",
    "    def close(self):\n",
    "        game.close()\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/sagemath/local/lib/python2.7/site-packages/keras/activations.py:211: UserWarning: Do not pass a layer instance (such as LeakyReLU) as the activation argument of another layer. Instead, advanced activation layers should be used just like any other layer in a model.\n",
      "  identifier=identifier.__class__.__name__))\n"
     ]
    }
   ],
   "source": [
    "model_train, model_predict = createModel()\n",
    "game = gym.make('CartPole-v0')\n",
    "gamma = 0.99\n",
    "env = SimulationEnv(model_train, model_predict, game, gamma)\n",
    "\n",
    "MAX_DUR = 200\n",
    "MAX_EPISODES = 1000\n",
    "\n",
    "# 更新状況可視化のため、ゲームの継続時間と損失値を保持\n",
    "durations = []\n",
    "losses = []\n",
    "\n",
    "# 最大エピソード回実行\n",
    "for episode in range(MAX_EPISODES):\n",
    "    state = env.reset()\n",
    "    done = False\n",
    "    for t in range(MAX_DUR): #エピソードの間繰り返す\n",
    "        state, reward, done = env.step(state)\n",
    "        if done:\n",
    "            durations.append(t)\n",
    "            break\n",
    "    loss = env.update()\n",
    "    losses.append(loss)\n",
    "env.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ORgghup4UjiuU8fphAPpHe9+ykUII4YwUjitwurLO/rPcMS6E6C08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\nVQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc131bea1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "showResult(durations, title=\"Duration\", x_axis=\"episode\", y_axis=\"times\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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t8192dvaFL15E5ALp2TGW+27sD/hnIMvs7OzTfq86nc6mnxbbv38/ffv2BeC1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\n4SIiIj73/wGQhOR1EsHBZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc11dff9fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "showResult(losses, title=\"Losse\", x_axis=\"episode\", y_axis=\"loss\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 結果の保存\n",
    "うまく収束するようになったので、モデルパラメータを保存します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# ここで学習したモデルパラメータを保存\n",
    "model_train.save_weights('models/param_train.hdf5')\n",
    "model_predict.save_weights('models/param_predict.hdf5')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## アニメーション\n",
    "うまく学習できているようなので、倒立台車がどのように動いているのか、アニメーションで確かめてみましょう。\n",
    "\n",
    "保存したモデルパラメータの読み込みとセットは、以下のように行います。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/sagemath/local/lib/python2.7/site-packages/keras/activations.py:211: UserWarning: Do not pass a layer instance (such as LeakyReLU) as the activation argument of another layer. Instead, advanced activation layers should be used just like any other layer in a model.\n",
      "  identifier=identifier.__class__.__name__))\n"
     ]
    }
   ],
   "source": [
    "# 前回学習したモデルパラメータを使ってアニメーションを作成する\n",
    "model_train, model_predict = createModel()\n",
    "model_train.load_weights('models/param_train.hdf5')\n",
    "model_predict.load_weights('models/param_predict.hdf5')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### jupyterノートブックでレンダリング結果をアニメーション\n",
    "倒立台車のレンダリングフレームをアニメーションとして表示するスクリプトは、以下のサイトを参考にさせていただきました。\n",
    "\n",
    "- http://mckinziebrandon.me/TensorflowNotebooks/2016/12/21/openai.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from JSAnimation.IPython_display import display_animation\n",
    "from matplotlib import animation\n",
    "from IPython.display import display\n",
    "\n",
    "def display_frames_as_gif(frames):\n",
    "    \"\"\"\n",
    "    Displays a list of frames as a gif, with controls\n",
    "    \"\"\"\n",
    "    #plt.figure(figsize=(frames[0].shape[1] / 72.0, frames[0].shape[0] / 72.0), dpi = 72)\n",
    "    patch = plt.imshow(frames[0])\n",
    "    plt.axis('off')\n",
    "\n",
    "    def animate(i):\n",
    "        patch.set_data(frames[i])\n",
    "\n",
    "    anim = animation.FuncAnimation(plt.gcf(), animate, frames = len(frames), interval=50)\n",
    "    # gifを保存する場合\n",
    "    # anim.save(\"images/CartPole-v0.gif\", writer = 'imagemagick')\n",
    "    display(display_animation(anim, default_mode='loop'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 倒立台車のアニメーションフレームの作成\n",
    "準備ができたので、学習したモデルでCartPole-v0を動かしてみます。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "0\n",
      "0\n",
      "1\n",
      "0\n",
      "1\n",
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    },
    {
     "ename": "TypeError",
     "evalue": "render() got an unexpected keyword argument 'close'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-26-00d16bdfe647>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     12\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0mdone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     13\u001b[0m         \u001b[0;32mbreak\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 14\u001b[0;31m \u001b[0mgame\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrender\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     15\u001b[0m \u001b[0mgame\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/usr/lib/sagemath/local/lib/python2.7/site-packages/gym/core.pyc\u001b[0m in \u001b[0;36mrender\u001b[0;34m(self, mode, **kwargs)\u001b[0m\n\u001b[1;32m    273\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    274\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mrender\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmode\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'human'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 275\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0menv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrender\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmode\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    276\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    277\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mTypeError\u001b[0m: render() got an unexpected keyword argument 'close'"
     ]
    }
   ],
   "source": [
    "MAX_DUR = 800\n",
    "game = gym.make('CartPole-v0')\n",
    "state = game.reset()\n",
    "frames = []\n",
    "for t in range(MAX_DUR):\n",
    "    # Render into buffer. \n",
    "    frames.append(game.render(mode = 'rgb_array'))\n",
    "    act_prob = model_predict.predict(state.reshape(1, D_in))[0]\n",
    "    action = np.random.choice(np.array([0,1]), p=act_prob)\n",
    "    print(action)\n",
    "    state, reward, done, info = game.step(action)\n",
    "    if done:\n",
    "        break\n",
    "game.render(close=True)\n",
    "game.close()    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### レンダリングフレームの表示\n",
    "display_frames_as_gifを使って作成されたレンダリングフレームを表示します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<script language=\"javascript\">\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",
       "    document.getElementById(this.slider_id).max = this.frames.length - 1;\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 = 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(){t.anim_step_forward();}, 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(){t.anim_step_reverse();}, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<div class=\"animation\" align=\"center\">\n",
       "    <img id=\"_anim_imgECSSDVNXYORODCUO\">\n",
       "    <br>\n",
       "    <input id=\"_anim_sliderECSSDVNXYORODCUO\" type=\"range\" style=\"width:350px\" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\" onchange=\"animECSSDVNXYORODCUO.set_frame(parseInt(this.value));\"></input>\n",
       "    <br>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.slower()\">&#8211;</button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.first_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,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\"></button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.previous_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\"></button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.reverse_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,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\"></button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.pause_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\"></button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.play_animation()\"><img class=\"anim_icon\" src=\"data:image/png;base64,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\"></button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.next_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\"></button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.last_frame()\"><img class=\"anim_icon\" src=\"data:image/png;base64,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\"></button>\n",
       "    <button onclick=\"animECSSDVNXYORODCUO.faster()\">+</button>\n",
       "  <form action=\"#n\" name=\"_anim_loop_selectECSSDVNXYORODCUO\" class=\"anim_control\">\n",
       "    <input type=\"radio\" name=\"state\" value=\"once\" > Once </input>\n",
       "    <input type=\"radio\" name=\"state\" value=\"loop\" checked> Loop </input>\n",
       "    <input type=\"radio\" name=\"state\" value=\"reflect\" > Reflect </input>\n",
       "  </form>\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_imgECSSDVNXYORODCUO\";\n",
       "    var slider_id = \"_anim_sliderECSSDVNXYORODCUO\";\n",
       "    var loop_select_id = \"_anim_loop_selectECSSDVNXYORODCUO\";\n",
       "    var frames = new Array(0);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,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\"\n",
       "  frames[1] = \"data:image/png;base64,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\"\n",
       "  frames[2] = \"data:image/png;base64,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\"\n",
       "  frames[3] = \"data:image/png;base64,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\"\n",
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       "  frames[5] = \"data:image/png;base64,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\"\n",
       "  frames[6] = \"data:image/png;base64,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\"\n",
       "  frames[7] = \"data:image/png;base64,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\"\n",
       "  frames[8] = \"data:image/png;base64,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\"\n",
       "  frames[9] = \"data:image/png;base64,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\"\n",
       "  frames[10] = \"data:image/png;base64,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\"\n",
       "  frames[11] = \"data:image/png;base64,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\"\n",
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       "  frames[22] = \"data:image/png;base64,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\"\n",
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       "  frames[28] = \"data:image/png;base64,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\"\n",
       "  frames[29] = \"data:image/png;base64,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\"\n",
       "  frames[30] = \"data:image/png;base64,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\"\n",
       "  frames[31] = \"data:image/png;base64,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\"\n",
       "  frames[32] = \"data:image/png;base64,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\"\n",
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       "  frames[42] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAABb9JREFUeJzt27+KXHUYgOHfJMEguqJJEExEFMHGRhELEXIFWmxp6qAXojcR2cp6wxYWCtrYWOkNiIGIgn/WVYJE3aAZu8A6KcY1M4d39nmqmY/D8BVzeDlnzszm8/l8AEDMqakXAIDjEDAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgKQzUy8AJ8mNT66Nw1s/jcefe3lcfOWNqdeBNAGDFfvy/XcWZo88+ez6F4EN4xYiAEkCBkCSgAGQJGAAJAkYrNhjT7+4MLu9f3P9i8CGETBYsa2LLyzM/jj4boJNYLMIGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgsGJPPP/qfec3P/tgzZvAZhEwWLGzW+fvO/99/5s1bwKbRcAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJJm8/l8PvUSULS3t7f0sc/sf7wwu3N6a/xw7vWlP2N7e3vpY+EkEDA4ptlstvSxX1x7e2H21bcH48p715f+DKcqHHVm6gXgpPj0xyv3Xl96+Otxenw04TbQJ2CwBp8fvDn+vPvovfc3br80/vrt1zHG8ldgwFEe4oA1+OXOUwuznw8vTbAJbA4BAyBJwGANXjv34b8md8flC24fwv/hNzBYg/Nnvx+XL+yOMcZ4693r46FTh2P2962Jt4I2j9HDMf2Xx+gfBKcqHLWxV2BXr16degV4oHynWZednZ2pV1iKKzA4JldgMC0PcQCQJGAAJAkYAEkCBkCSgAGQJGAAJG3s/8Bg1XZ3d6deAU40/wMDIMktRACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyApH8A3KZk6zpmcWoAAAAASUVORK5CYII=\"\n",
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       "  frames[44] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAABapJREFUeJzt27GKXGUAhuF/khgRDZEkilEIWloZsRLR2kKLxcrUi15IvImEvYQJW1goaKOIlbYiklQWarIRUgSSgJl0gTgW45KZwzv7PLCw/ByGr9jh5cyemS0Wi8UAgJhjUw8AgMMQMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyApBNTD4Cj5MY3V8b9OzfHi2+8PV5956Op50CagMGa/Xz186Wz519+ffNDYMv4CBGAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAzW7OSpc0tnB7/+MMES2C4CBmv20pvvTz0BtpKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRis2SsXP/zP81/mlze8BLbLbLFYLKYeAUX7+/srX3vh1tdLZw+Onxp/nnlv5dfY2dlZ+Vo4CgQMDmk2m6187U9XPls6++332+PSF9dWfg1vVXjSiakHwFHx7V+XHv/+2nPXx/Hx1YRroM//wGADfrz98bj38IXHPzfuXpx6EuQJGGzA3w/OL519f/DJBEtgewgYTOT0MwdTT4A0AYMNePfMl/86eTjeOv3dJFtgW3iIAzbg7LN/jA/OzccYY3x6+do4eez+mP1zZ+JV0OYxejik//MY/dPgrQpP2to7sN3d3aknwFPlb5pN2dvbm3rCStyBwSG5A4NpeYgDgCQBAyBJwABIEjAAkgQMgCQBAyBpa78HBus2n8+nngBHmu+BAZDkI0QAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgKRHdp1gY3UA564AAAAASUVORK5CYII=\"\n",
       "  frames[45] = \"data:image/png;base64,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\"\n",
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       "  frames[48] = \"data:image/png;base64,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\"\n",
       "  frames[49] = \"data:image/png;base64,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\"\n",
       "  frames[50] = \"data:image/png;base64,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\"\n",
       "  frames[51] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAABf9JREFUeJzt3b1rXXUYwPGTUl+wpS9DaaegdnIILoKTSy3WTfAfcCkUB9fOhe7ZlS5Fceo/ULCDDo5iY8ngoBgp+Fa1gcaixOtWKMlwLb338D35fCBDHg78nu3LzT0/sjKbzWYDAMQcGnsBAHgSAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgsCSbN64Omzeujr0GTMbhsReAqdr45PLwz879sdeAyfIJDIAkAQMgScAASBIwWJCXz1/ad35/65slbwLTJGCwIEfPnN137sUOeDoEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAYMFeuHUi3tmv25+vvxFYIIEDBbo2SMn9sx2ftsaYROYHgEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMACSBAyAJAEDIEnAAEgSMFigs2+9v+/8hy8+XvImMD0CBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQtDKbzWZjLwE1t27dGra3t+d69tjOd8OJB9/umW+denvu886dOzccP3587ufhIBAweAJra2vDnTt35nr2vQuvDh+8+/qe+WuXPpr7vI2NjWFtbW3u5+EgODz2AnAQ/P736eGrP9589Pv505+OuA1Mg+/AYMF+evjS8OW9d4aH/x599LPx5xtjrwV5AgYL9mB373dXW3+9MsImMC0CBiN47tDO2CtAnoDBgp098vWwMuw+Njvz/PcjbQPT4SUOWIILp68PO7vHhssffjb8+Mv94dgz98ZeCfIEDBbs+s3bw/Wbtx+b/TzSLjAlkw3YxYsXx16BCbt79+5Sz7ty5cpw8uTJpZ7JwXXt2rWxV5iLi8zwBP7PReanwUVm2MtLHAAkCRgASQIGQJKAAZAkYAAkCRgASZO9BwaLtL6+Pvc/tHwaVldXl3YWVLgHBkCSPyECkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgZAkoABkCRgACT9Bx7ze28D01feAAAAAElFTkSuQmCC\"\n",
       "  frames[52] = \"data:image/png;base64,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\"\n",
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       "  frames[66] = \"data:image/png;base64,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\"\n",
       "  frames[67] = \"data:image/png;base64,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\"\n",
       "  frames[68] = \"data:image/png;base64,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\"\n",
       "  frames[69] = \"data:image/png;base64,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\"\n",
       "  frames[70] = \"data:image/png;base64,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\"\n",
       "  frames[71] = \"data:image/png;base64,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\"\n",
       "  frames[72] = \"data:image/png;base64,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\"\n",
       "  frames[73] = \"data:image/png;base64,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\"\n",
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       "  frames[109] = \"data:image/png;base64,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\"\n",
       "  frames[110] = \"data:image/png;base64,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\"\n",
       "  frames[111] = \"data:image/png;base64,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\"\n",
       "  frames[112] = \"data:image/png;base64,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\"\n",
       "  frames[113] = \"data:image/png;base64,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\"\n",
       "  frames[114] = \"data:image/png;base64,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\"\n",
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       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        animECSSDVNXYORODCUO = new Animation(frames, img_id, slider_id, 50, loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_frames_as_gif(frames)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## モデルの制約\n",
    "avtivate関数をsigmoid, reluと変えてみると、reluはLeakyReLUと変わらない結果となりましたが、\n",
    "kernel_initializerを指定しないとうまく継続できないという結果になりました。\n",
    "\n",
    "以下にLeakyReLUをreluを変えた結果を示します。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    " D_in, H, D_out = 4, 150, 2\n",
    "learning_rate = 0.0009\n",
    "\n",
    "# 例題がleakyReLUを使っているので、合わせる。\n",
    "from keras.layers.advanced_activations import LeakyReLU\n",
    "from keras.initializers import glorot_uniform\n",
    "\n",
    "# 以下のURLを参照\n",
    "# https://github.com/breeko/Simple-Reinforcement-Learning-with-Tensorflow/blob/master/Part%202%20-%20Policy-based%20Agents%20with%20Keras.ipynb\n",
    "# 中間層の情報を使って損失関数を定義し、評価用モデルと学習用モデルを使うところもすごい！\n",
    "def createModelB(learning_rate=learning_rate):\n",
    "    inp = layers.Input(shape=(D_in,), name=\"input_x\")\n",
    "    adv = layers.Input(shape=(1,), name=\"advantages\")\n",
    "    x = layers.Dense(H, \n",
    "                     activation=\"relu\", \n",
    "                     use_bias=False,\n",
    "                     kernel_initializer=glorot_uniform(seed=42),\n",
    "                     name=\"dense_1\")(inp)\n",
    "    out = layers.Dense(D_out, \n",
    "                       activation=\"softmax\", \n",
    "                       kernel_initializer=glorot_uniform(seed=42),\n",
    "                       name=\"out\")(x)\n",
    "    \n",
    "    def custom_loss(y_true, y_pred):\n",
    "        # pred is output from neural network, a is action index\n",
    "        # r is return (sum of rewards to end of episode), d is discount factor\n",
    "        return -K.sum(adv * K.log(y_pred)) # element-wise multipliy, then sum\n",
    "\n",
    "    model_train = Model(inputs=[inp, adv], outputs=out)\n",
    "    model_train.compile(loss=custom_loss, optimizer=Adam(lr=learning_rate))\n",
    "    model_predict = Model(inputs=[inp], outputs=out)\n",
    "    return model_train, model_predict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "model_train, model_predict = createModelB()\n",
    "game = gym.make('CartPole-v0')\n",
    "gamma = 0.99\n",
    "env = SimulationEnv(model_train, model_predict, game, gamma)\n",
    "\n",
    "MAX_DUR = 200\n",
    "MAX_EPISODES = 1000\n",
    "\n",
    "# 更新状況可視化のため、ゲームの継続時間と損失値を保持\n",
    "durations = []\n",
    "losses = []\n",
    "\n",
    "# 最大エピソード回実行\n",
    "for episode in range(MAX_EPISODES):\n",
    "    state = env.reset()\n",
    "    done = False\n",
    "    for t in range(MAX_DUR): #エピソードの間繰り返す\n",
    "        state, reward, done = env.step(state)\n",
    "        if done:\n",
    "            durations.append(t)\n",
    "            break\n",
    "    loss = env.update()\n",
    "    losses.append(loss)\n",
    "env.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2xze0Wi1arVx8ZsuZ2kYSB4RZDvtdKpVKRUy4e/fehHAn7R3qVyk/Hq3uRo8/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\ncAghhOgUKRxCCCE6RQqHEEKITvn/id0hTrK6i4YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc0f8cb3f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "showResult(durations, title=\"Duration\", x_axis=\"episode\", y_axis=\"times\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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T/v6+bec0ebOLy0svvWS93/zChQsxmUyoVCrmzZvXYsEJIYSnaxfix70jutIu\n2JeSshpnh9NszS6Dubm5xMTEYDKZ2L17N9u2bcPb25ubb765JeMTQggBdIgK4uj5IupMZry9XP+b\n+80euQQGBlJQUMAPP/xAly5dCAgIAMBk8twlpYUQorXcmhhHWWUdOw9lOzuUZmn2yGXq1Kncfffd\n1NXV8eyzzwJw8OBBOnd2zOJq7733Hl9++aV16u2hhx7itttuA6C6upq5c+dy9OhRvLy8+NOf/sTw\n4cOb7BNCCHfRvUMIse0CWPX1aYb0jibQ7+ouDmhtV3Up8rlz59BoNHTo0MH6uLa2lu7du19zIOXl\n5QQG1l/WlpeXx7hx49ixYwdBQUH84x//ICcnhwULFnDhwgWmTJnC1q1b8fPza7TvasilyPbJZaX2\nSV4aJrmxzxF5+SY1m+VfniA6zJ9XHh7ioMh+HYdeitypUydrYdm7dy8FBQUOKSyAtbAAVFRUoFar\nsfy0YNvGjRtJSUkBoGPHjiQkJLBr164m+4QQwp3ow+tPR+QUVTo5kqZd1bTY7NmzSUxM5IMPPuDD\nDz9Eo9EwZcoUHn30UYcEs3r1alasWEFOTg6vvPIKwcH1yyRkZ2cTExNj3U6v12MwGJrsu5zRaMRo\nNNq0aTQa9Hq9Q+IXQoiWFBzgY/3dZLbgpXH+VxUNBgNms9mmTafTNb+4nD59mn79+gHwySef8NFH\nH+Hv7899993XrOIyadKkKz70L62Xs2fPHlQqFSkpKaSkpHD69GmeeuopbrjhBoKDgx22ps6KFStY\nunSpTVtsbCzbtm1rdHjn6SJ+usmRsCV5aZjkxr5rzYsuxN/6+8WiKgb2ir7WkK7ZlClTyMrKsmmb\nOXNm84uLxWJBpVKRkZGBoih06dIFgNLS0mY9f82aNc0O9je/+Q2RkZHs27eP0aNHExMTQ3Z2NqGh\n9cseGAwGhgypn2+MjY1tsO9y06dPJzk52abt0gUEcs7FPpk/t0/y0jDJjX2OyssLvxvISx/+wLc/\nZhEfEeCAyH6dS+dcVq5caXfk0uwxVWJiIvPnz2fhwoWMHj0agIyMDOuH+rVKT0+3/p6ZmcmJEyes\nBSwpKYmPP/4YgPPnz5OWlmb9fk1jfZfT6XTExcXZ/MiUmBCiLekYHURsRABFZdXODgWoPxVx+efq\nVU2LvfrqqyxfvpywsDBmzJgBwNmzZ5k2bZpDAlyyZAnp6eloNBo0Gg3PPfec9TLnGTNmMGfOHMaM\nGYNGo2E8a4q/AAAY8UlEQVTBggX4+/s32SeEEO4oXOdLYalrFJeGyKrIP5FpMftkisM+yUvDJDf2\nOTIv/956im9SDfxj9i2o1c65z4vDLkWuq6vj7bffZtSoUfTp04dRo0bx9ttvU1tb2/SThRBCOEyH\nqCBq6szkFrvuJcnNnhZ7/fXXSU1N5aWXXrKeYH/nnXcoLy+3fmNfCCFEy4sKq/+S+L+3nmLmpL5o\nfVxvrbFmF5dNmzaxfv166wn8zp0706tXLyZMmCDFRQghWpHOv/77LkfPF/PZt+e4Z0RXJ0d0pWZP\nizV0akZO2QghROsK8v/5y5QX8yucGEnDml1cxo4dy2OPPcY333xDeno6u3bt4ve//z1jx45tyfiE\nEEJcxk/78zRYodE1rxpr9rTYM888w7vvvsv8+fPJy8sjKiqK2267jccff7wl4xNCCHEZlUrF2MEd\nSDtbRHZBhUve46XR4vLdd9/ZPB40aBCDBg2yaTtw4ABDhw51fGRCCCEadO+IrnTW5/HOujSyCyrp\nGO1aS+40Wlz+8pe/2G2/tNbXpbXBvv76a8dHJoQQolGXCsqetBxCgrQ2C1s6W6PFZdu2ba0VhxBC\niKsUEeJH705hbN2fydb9mfxj9i34aZt9tqNFOX+9ZiGEEL/a5F9chpyZV+7ESGxJcRFCiDYsLjKQ\nZ1Lqb4dyMV+KixBCCAfp0TEUP62XS33nRYqLEEK0cSqVivYRAaRnlbrMF9uluAghhBu4oY+ezLxy\nfjiR5+xQACkuQgjhFm7qqydMp5XiIoQQwnHUKhU9O4RyOrPEJabGpLgIIYSbiNfrMFbWUVxW4+xQ\npLgIIYS76N4hBICvDlx0ciRSXIQQwm3ERQTSr2s7th/McvrUmMsVl++//55evXqxcuVKa1thYSEz\nZswgKSmJiRMnkpqa2qw+IYTwNN3ah1BTZ6aqxuTUOFyquFRUVLBo0SJuueUWm/ZFixYxcOBANm/e\nzLx583j66aeb1SeEEJ4mNEgL4PTzLi5VXF577TUefPBB662UL9m4cSMpKSkAJCYmotVqSUtLa7JP\nCCE8jbW4lDu3uLjG8pnAzp07KSsrY8yYMWzfvt3aXlJSAkBISIi1Ta/Xk5OTQ1xcXIN9CQkJV7yG\n0WjEaDTatGk0GvR6vUOPRQghnCXkp+Ly5seHmTK6G6MS41r09QwGA2az2aZNp9O1XnGZNGkSBoPB\npu3S/WA2btzIm2++yfLly1s0hhUrVrB06VKbttjYWLZt20Z4eGCLvnZbFhHhWjchchWSl4ZJbuxr\njbwEh/hbf1+zK51Jo7rh491yd6mcMmUKWVlZNm0zZ85sveKyZs2aBvsOHDhAQUEB99xzD4qiUFxc\nzPbt2yktLbXeRrmkpMQ6QjEYDOj1euvjy/uio6Ptvs706dNJTk62adNo6pNeWFiOxeL8Lx65moiI\nIPLzy5wdhsuRvDRMcmOfM/JSVWPmQJqBrnHBDt+3Wq0iPDyQlStXOnfk0pjExES+/fZb6+O5c+eS\nkJDAlClTABg7diyrVq3iscceY//+/dTU1NC7d+8G++xNiUH9Aet0upY/ICGEcKIHx/dE6+3Fu+vS\n2Hcit0WKyyUNnVZwieLSlKeeeopnnnmGdevW4evry+uvv96sPiGE8EQ3JNR/4A/qGcmeIzncM7wL\n3l4tNzVmj0px9jdtXIRMi9knUxz2SV4aJrmxzxl5OXquiEUfH+LxiQkM6BHp0H1fmhZrsN+hryaE\nEMJl9OwYireXml2Hszl2vqhVX1uKixBCuCm1WoU+3J+0c0W8sfoQpRW1rffarfZKQgghWl1suwDr\n76+tPNhqryvFRQgh3NilL1UC5BZVYjJbAFi76yzLPj/WYq/bJq4WE0II8esM6RXNmYulnDOUYTJb\nePj1Hdx5Yzwb9pwHIMjfh3tHdnX468rIRQgh3Fj7yEDmTk3k8eSfv//32bfnrb9v2pfBmYulDn9d\nKS5CCOEB+nVt12BfS5zol2kxIYTwMItn3khwoJbP95xnza6zVFTXOfw1ZOQihBAeol2wL1B/ngUg\naVAHAEpbYHl+GbkIIYSHmDs1kayCctRqFQDeXmoCfL1aZFpMRi5CCOEhQoO0JHQKt2nTBfhQUl7L\n0fNFLP7PYSwOWhFMRi5CCOHByirrMBTmc/BUPgAFJVVEhvo38aymychFCCE8WHmV7cn8rIIKh+xX\niosQQniwP97TlwHdI6yPs/KluAghhLhGfbu049GJP3/BctfhbIecd5HiIoQQHk6tUvGHSX2IDPWj\noLSa/JKqa9+nA+ISQgjRxl3fLYIZt/cE4FRmyTXvT4qLEEIIAPTh9cvzb96Xec37kuIihBACgEA/\nb/p3i6CgtOqaz7u4THGZO3cuw4YNIzk5meTkZN5//31rX2FhITNmzCApKYmJEyeSmprarD4hhBBX\np2+XcGrrLGTmll/TflymuAA8/PDDrF27lrVr1/LII49Y2xctWsTAgQPZvHkz8+bN4+mnn25WnxBC\niKvTv1sEWh8N/91x5pr241LFpSEbN24kJSUFgMTERLRaLWlpaU32CSGEuDqBft7c0Dua9GwjyjVM\njbnU8i8ffvghH3/8MR06dGD27Nl06dKFkpL6qxZCQkKs2+n1enJycoiLi2uwLyEhgcsZjUaMRqNN\nm0ajQa/Xt8ThCCFEmxQd7k91rZm0c0X06Rze6LYGgwGz2WzTptPpWq+4TJo0CYPBYNOmKAoqlYo9\ne/Ywe/ZsIiMjAVi3bh0PPfQQX3/9tUNjWLFiBUuXLrVpi42NZdu2bYSHBzr0tdxJRESQs0NwSZKX\nhklu7GsreRnUJ4ZVX53m+xN5jBwc3+i2U6ZMISsry6Zt5syZrVdc1qxZ02j/pcICMHHiRF599VVy\ncnKso4qSkhLrCMVgMKDX662PL++Ljo62+xrTp08nOTnZpk2j0QBQWFiOxeKY1UDdSUREEPn5Zc4O\nw+VIXhomubGvLeUlWKshsVsEZzJKGoxZrVYRHh7IypUr7Y5cXOacS25urvX3b775Bi8vL6KiogAY\nO3Ysq1atAmD//v3U1NTQu3fvBvvsTYlB/QHHxcXZ/MiUmBBCXKlzrI68kiqMlY3f60Wv11/xudqq\n02JNmTNnDoWFhahUKoKCgnj33XdRq+tr31NPPcUzzzzDunXr8PX15fXXX7c+r7E+IYQQv07HqPop\nvKy8cnTxYVf9fJcpLsuXL2+wr127dg32N9YnhBDi17l0K+SKatOver7LTIsJIYRwHQG+9WOPiuq6\nJra0T4qLEEKIK/j/VFwqZeQihBDCUbTeGjRqlUyLCSGEcByVSkWAnzenLpaw9YerXyVZiosQQgi7\n2kcEcOZiKau+Pk2RsfqqnivFRQghhF1d435eWuuHE3lX9VwpLkIIIewa0jvKetXY/pNSXIQQQjhA\nVKg/S/54C7dcpye/uOqqnivFRQghRKMiQvwwVtZRVdP8K8ekuAghhGhUZKg/APklzR+9SHERQgjR\nqMgQPwDyrmJqTIqLEEKIRkWG1hcXQ1Fls58jxUUIIUSj/LReRIb4kZHb/PvRSHERQgjRpA5RgVJc\nhBBCOFaHqCDyS6qbvZClFBc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JIYRwOBm5CCGEcDgpLkIIIRxOiosQQgiHk+IihBDC4aS4\nCCGEcDgpLkIIIRzu/wMAACP/S0+sNwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc0f8d2fc10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "showResult(losses, title=\"Losse\", x_axis=\"episode\", y_axis=\"loss\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}