REINFORCE on CartPole.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch \n",
    "import torch.nn as nn\n",
    "import gym\n",
    "from torch.distributions import Categorical\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "device = torch.device('cuda:0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = gym.make('CartPole-v1')\n",
    "state_space = env.observation_space.shape[0]\n",
    "action_space = env.action_space.n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Policy(nn.Module):\n",
    "    def __init__(self, state_space, action_space):\n",
    "        super().__init__()\n",
    "        \n",
    "        self.policy = nn.Sequential( nn.Linear( state_space, 128, bias=False),\n",
    "                                     nn.ReLU(), \n",
    "                                     nn.Linear(128, action_space, bias=False),\n",
    "                                     nn.Softmax(dim=-1) )\n",
    "\n",
    "\n",
    "    def forward(self, state):    \n",
    "        # get action prob \n",
    "        action_prob = self.policy(state)    \n",
    "        return action_prob \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class REINFORCE():\n",
    "    def __init__(self,env, policy, opt):\n",
    "        \n",
    "        self.env = env\n",
    "        self.policy = policy \n",
    "        self.opt = opt\n",
    "        \n",
    "        self.episode_total_reward_log = [] \n",
    "        \n",
    "    def interact(self):\n",
    "        \"Agent first interacts with env to collect data\"\n",
    "        \n",
    "        # prepare data list\n",
    "        self.episode_reward_list = []\n",
    "        self.episode_action_list = []\n",
    "        self.episode_state_list = []\n",
    "        \n",
    "        # init env \n",
    "        state = self.env.reset()\n",
    "        done = False \n",
    "        total_reward = 0\n",
    "        \n",
    "        # start this episode until done\n",
    "        while not done:  \n",
    "            \n",
    "            with torch.no_grad():\n",
    "                \n",
    "                state = torch.FloatTensor(state).unsqueeze(0).to(device)\n",
    "                \n",
    "                # forward to get prob \n",
    "                action_prob = self.policy( state )\n",
    "                # according to prob we create a Categorical Distribution \n",
    "                distribution = Categorical(action_prob)\n",
    "                # we sample from this distribution to get action \n",
    "                action = distribution.sample()    \n",
    "                # step env \n",
    "                next_state, reward, done, _ = env.step( int(action.cpu()) )\n",
    "                total_reward += reward \n",
    "                # append data \n",
    "                self.episode_reward_list.append( reward )\n",
    "                self.episode_action_list.append( action )\n",
    "                self.episode_state_list.append( state )\n",
    "                \n",
    "                state = next_state\n",
    "                \n",
    "        # used for display\n",
    "        self.episode_total_reward_log.append(total_reward)\n",
    "                \n",
    "                \n",
    "    def discount_reward(self, gamma):\n",
    "        \"This implementation has baseline\"    \n",
    "        \n",
    "        ep_len = len(self.episode_reward_list)        \n",
    "        r = np.array( [   gamma**i * self.episode_reward_list[i] for i in range(ep_len)  ] )\n",
    "        \n",
    "        # Reverse direction for cumsum and then reverse it back, which is discounted cumulative reward         \n",
    "        r = r[::-1].cumsum()[::-1]\n",
    "        return r - r.mean()\n",
    "    \n",
    "    \n",
    "    def update(self, discounted_reward):\n",
    "        \n",
    "        self.opt.zero_grad()\n",
    "       \n",
    "        # assemble state after one epoch \n",
    "        batch_state = torch.cat( self.episode_state_list, dim=0 )\n",
    "        batch_action = torch.cat( self.episode_action_list, dim=0 )\n",
    "        \n",
    "        # calculate log prob\n",
    "        batch_action_prob = self.policy( batch_state )\n",
    "        batch_distribution = Categorical(batch_action_prob)\n",
    "        batch_log_prob = batch_distribution.log_prob(batch_action)\n",
    "        \n",
    "        # calculate loss and update \n",
    "        loss = - ( batch_log_prob * torch.FloatTensor(discounted_reward).to(device) ).mean()\n",
    "        loss.backward()\n",
    "        \n",
    "        self.opt.step()        \n",
    "        \n",
    "                \n",
    "    def train(self, episodes, gamma=0.99):\n",
    "        \n",
    "        for i in range(episodes):\n",
    "            \n",
    "            # first, let agent play with env \n",
    "            self.interact()\n",
    "\n",
    "            # we calculate discounted reward \n",
    "            discounted_reward = self.discount_reward(gamma)\n",
    "\n",
    "            # update after one episopde \n",
    "            self.update(discounted_reward)\n",
    "            \n",
    "            print( 'total reward of '+str(i)+ ' episode is ' +str(self.episode_total_reward_log[-1]) )\n",
    "            \n",
    "            \n",
    "    \n",
    "    def plot(self, avg_window=10):\n",
    "        \n",
    "        rewards = self.episode_total_reward_log\n",
    "        smoothed_rewards = [np.mean(rewards[i-avg_window:i+1]) if i > avg_window else np.mean(rewards[:i+1]) for i in range(len(rewards))]\n",
    "\n",
    "        plt.figure(figsize=(12,8))\n",
    "        plt.plot(rewards)\n",
    "        plt.plot(smoothed_rewards)\n",
    "        plt.ylabel('Total Rewards')\n",
    "        plt.xlabel('Episodes')\n",
    "        plt.show()           \n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "policy = Policy(state_space,action_space).to(device)\n",
    "opt = torch.optim.RMSprop( policy.parameters(), lr=0.002)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "reinforce = REINFORCE(env=env, policy=policy, opt=opt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total reward of 0 episode is 12.0\n",
      "total reward of 1 episode is 20.0\n",
      "total reward of 2 episode is 13.0\n",
      "total reward of 3 episode is 16.0\n",
      "total reward of 4 episode is 16.0\n",
      "total reward of 5 episode is 11.0\n",
      "total reward of 6 episode is 29.0\n",
      "total reward of 7 episode is 27.0\n",
      "total reward of 8 episode is 16.0\n",
      "total reward of 9 episode is 98.0\n",
      "total reward of 10 episode is 20.0\n",
      "total reward of 11 episode is 47.0\n",
      "total reward of 12 episode is 20.0\n",
      "total reward of 13 episode is 21.0\n",
      "total reward of 14 episode is 55.0\n",
      "total reward of 15 episode is 23.0\n",
      "total reward of 16 episode is 11.0\n",
      "total reward of 17 episode is 85.0\n",
      "total reward of 18 episode is 23.0\n",
      "total reward of 19 episode is 58.0\n",
      "total reward of 20 episode is 88.0\n",
      "total reward of 21 episode is 25.0\n",
      "total reward of 22 episode is 17.0\n",
      "total reward of 23 episode is 78.0\n",
      "total reward of 24 episode is 20.0\n",
      "total reward of 25 episode is 25.0\n",
      "total reward of 26 episode is 57.0\n",
      "total reward of 27 episode is 57.0\n",
      "total reward of 28 episode is 65.0\n",
      "total reward of 29 episode is 63.0\n",
      "total reward of 30 episode is 108.0\n",
      "total reward of 31 episode is 96.0\n",
      "total reward of 32 episode is 102.0\n",
      "total reward of 33 episode is 37.0\n",
      "total reward of 34 episode is 19.0\n",
      "total reward of 35 episode is 13.0\n",
      "total reward of 36 episode is 42.0\n",
      "total reward of 37 episode is 25.0\n",
      "total reward of 38 episode is 65.0\n",
      "total reward of 39 episode is 44.0\n",
      "total reward of 40 episode is 46.0\n",
      "total reward of 41 episode is 272.0\n",
      "total reward of 42 episode is 148.0\n",
      "total reward of 43 episode is 21.0\n",
      "total reward of 44 episode is 236.0\n",
      "total reward of 45 episode is 99.0\n",
      "total reward of 46 episode is 22.0\n",
      "total reward of 47 episode is 137.0\n",
      "total reward of 48 episode is 111.0\n",
      "total reward of 49 episode is 106.0\n",
      "total reward of 50 episode is 113.0\n",
      "total reward of 51 episode is 68.0\n",
      "total reward of 52 episode is 59.0\n",
      "total reward of 53 episode is 149.0\n",
      "total reward of 54 episode is 101.0\n",
      "total reward of 55 episode is 46.0\n",
      "total reward of 56 episode is 180.0\n",
      "total reward of 57 episode is 142.0\n",
      "total reward of 58 episode is 113.0\n",
      "total reward of 59 episode is 141.0\n",
      "total reward of 60 episode is 29.0\n",
      "total reward of 61 episode is 20.0\n",
      "total reward of 62 episode is 122.0\n",
      "total reward of 63 episode is 108.0\n",
      "total reward of 64 episode is 129.0\n",
      "total reward of 65 episode is 41.0\n",
      "total reward of 66 episode is 64.0\n",
      "total reward of 67 episode is 205.0\n",
      "total reward of 68 episode is 41.0\n",
      "total reward of 69 episode is 98.0\n",
      "total reward of 70 episode is 67.0\n",
      "total reward of 71 episode is 169.0\n",
      "total reward of 72 episode is 40.0\n",
      "total reward of 73 episode is 96.0\n",
      "total reward of 74 episode is 61.0\n",
      "total reward of 75 episode is 129.0\n",
      "total reward of 76 episode is 232.0\n",
      "total reward of 77 episode is 34.0\n",
      "total reward of 78 episode is 113.0\n",
      "total reward of 79 episode is 71.0\n",
      "total reward of 80 episode is 191.0\n",
      "total reward of 81 episode is 199.0\n",
      "total reward of 82 episode is 72.0\n",
      "total reward of 83 episode is 58.0\n",
      "total reward of 84 episode is 128.0\n",
      "total reward of 85 episode is 112.0\n",
      "total reward of 86 episode is 151.0\n",
      "total reward of 87 episode is 61.0\n",
      "total reward of 88 episode is 146.0\n",
      "total reward of 89 episode is 152.0\n",
      "total reward of 90 episode is 105.0\n",
      "total reward of 91 episode is 136.0\n",
      "total reward of 92 episode is 25.0\n",
      "total reward of 93 episode is 222.0\n",
      "total reward of 94 episode is 35.0\n",
      "total reward of 95 episode is 169.0\n",
      "total reward of 96 episode is 199.0\n",
      "total reward of 97 episode is 137.0\n",
      "total reward of 98 episode is 115.0\n",
      "total reward of 99 episode is 206.0\n",
      "total reward of 100 episode is 113.0\n",
      "total reward of 101 episode is 156.0\n",
      "total reward of 102 episode is 156.0\n",
      "total reward of 103 episode is 211.0\n",
      "total reward of 104 episode is 167.0\n",
      "total reward of 105 episode is 234.0\n",
      "total reward of 106 episode is 155.0\n",
      "total reward of 107 episode is 91.0\n",
      "total reward of 108 episode is 244.0\n",
      "total reward of 109 episode is 122.0\n",
      "total reward of 110 episode is 129.0\n",
      "total reward of 111 episode is 303.0\n",
      "total reward of 112 episode is 213.0\n",
      "total reward of 113 episode is 86.0\n",
      "total reward of 114 episode is 249.0\n",
      "total reward of 115 episode is 275.0\n",
      "total reward of 116 episode is 148.0\n",
      "total reward of 117 episode is 166.0\n",
      "total reward of 118 episode is 388.0\n",
      "total reward of 119 episode is 182.0\n",
      "total reward of 120 episode is 223.0\n",
      "total reward of 121 episode is 138.0\n",
      "total reward of 122 episode is 280.0\n",
      "total reward of 123 episode is 213.0\n",
      "total reward of 124 episode is 156.0\n",
      "total reward of 125 episode is 283.0\n",
      "total reward of 126 episode is 392.0\n",
      "total reward of 127 episode is 147.0\n",
      "total reward of 128 episode is 225.0\n",
      "total reward of 129 episode is 250.0\n",
      "total reward of 130 episode is 352.0\n",
      "total reward of 131 episode is 321.0\n",
      "total reward of 132 episode is 289.0\n",
      "total reward of 133 episode is 315.0\n",
      "total reward of 134 episode is 157.0\n",
      "total reward of 135 episode is 113.0\n",
      "total reward of 136 episode is 396.0\n",
      "total reward of 137 episode is 57.0\n",
      "total reward of 138 episode is 157.0\n",
      "total reward of 139 episode is 224.0\n",
      "total reward of 140 episode is 389.0\n",
      "total reward of 141 episode is 225.0\n",
      "total reward of 142 episode is 166.0\n",
      "total reward of 143 episode is 238.0\n",
      "total reward of 144 episode is 242.0\n",
      "total reward of 145 episode is 239.0\n",
      "total reward of 146 episode is 295.0\n",
      "total reward of 147 episode is 288.0\n",
      "total reward of 148 episode is 391.0\n",
      "total reward of 149 episode is 298.0\n",
      "total reward of 150 episode is 242.0\n",
      "total reward of 151 episode is 261.0\n",
      "total reward of 152 episode is 259.0\n",
      "total reward of 153 episode is 314.0\n",
      "total reward of 154 episode is 199.0\n",
      "total reward of 155 episode is 470.0\n",
      "total reward of 156 episode is 230.0\n",
      "total reward of 157 episode is 500.0\n",
      "total reward of 158 episode is 255.0\n",
      "total reward of 159 episode is 279.0\n",
      "total reward of 160 episode is 225.0\n",
      "total reward of 161 episode is 112.0\n",
      "total reward of 162 episode is 245.0\n",
      "total reward of 163 episode is 227.0\n",
      "total reward of 164 episode is 500.0\n",
      "total reward of 165 episode is 257.0\n",
      "total reward of 166 episode is 284.0\n",
      "total reward of 167 episode is 183.0\n",
      "total reward of 168 episode is 281.0\n",
      "total reward of 169 episode is 381.0\n",
      "total reward of 170 episode is 429.0\n",
      "total reward of 171 episode is 124.0\n",
      "total reward of 172 episode is 360.0\n",
      "total reward of 173 episode is 389.0\n",
      "total reward of 174 episode is 318.0\n",
      "total reward of 175 episode is 500.0\n",
      "total reward of 176 episode is 231.0\n",
      "total reward of 177 episode is 352.0\n",
      "total reward of 178 episode is 201.0\n",
      "total reward of 179 episode is 150.0\n",
      "total reward of 180 episode is 281.0\n",
      "total reward of 181 episode is 412.0\n",
      "total reward of 182 episode is 366.0\n",
      "total reward of 183 episode is 391.0\n",
      "total reward of 184 episode is 457.0\n",
      "total reward of 185 episode is 500.0\n",
      "total reward of 186 episode is 364.0\n",
      "total reward of 187 episode is 424.0\n",
      "total reward of 188 episode is 371.0\n",
      "total reward of 189 episode is 236.0\n",
      "total reward of 190 episode is 500.0\n",
      "total reward of 191 episode is 440.0\n",
      "total reward of 192 episode is 447.0\n",
      "total reward of 193 episode is 190.0\n",
      "total reward of 194 episode is 258.0\n",
      "total reward of 195 episode is 376.0\n",
      "total reward of 196 episode is 465.0\n",
      "total reward of 197 episode is 192.0\n",
      "total reward of 198 episode is 382.0\n",
      "total reward of 199 episode is 328.0\n",
      "total reward of 200 episode is 279.0\n",
      "total reward of 201 episode is 252.0\n",
      "total reward of 202 episode is 500.0\n",
      "total reward of 203 episode is 500.0\n",
      "total reward of 204 episode is 500.0\n",
      "total reward of 205 episode is 293.0\n",
      "total reward of 206 episode is 159.0\n",
      "total reward of 207 episode is 500.0\n",
      "total reward of 208 episode is 500.0\n",
      "total reward of 209 episode is 500.0\n",
      "total reward of 210 episode is 444.0\n",
      "total reward of 211 episode is 274.0\n",
      "total reward of 212 episode is 293.0\n",
      "total reward of 213 episode is 166.0\n",
      "total reward of 214 episode is 497.0\n",
      "total reward of 215 episode is 409.0\n",
      "total reward of 216 episode is 55.0\n",
      "total reward of 217 episode is 475.0\n",
      "total reward of 218 episode is 175.0\n",
      "total reward of 219 episode is 135.0\n",
      "total reward of 220 episode is 235.0\n",
      "total reward of 221 episode is 499.0\n",
      "total reward of 222 episode is 388.0\n",
      "total reward of 223 episode is 247.0\n",
      "total reward of 224 episode is 184.0\n",
      "total reward of 225 episode is 500.0\n",
      "total reward of 226 episode is 500.0\n",
      "total reward of 227 episode is 500.0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total reward of 228 episode is 470.0\n",
      "total reward of 229 episode is 117.0\n",
      "total reward of 230 episode is 500.0\n",
      "total reward of 231 episode is 357.0\n",
      "total reward of 232 episode is 419.0\n",
      "total reward of 233 episode is 500.0\n",
      "total reward of 234 episode is 275.0\n",
      "total reward of 235 episode is 233.0\n",
      "total reward of 236 episode is 254.0\n",
      "total reward of 237 episode is 211.0\n",
      "total reward of 238 episode is 500.0\n",
      "total reward of 239 episode is 500.0\n",
      "total reward of 240 episode is 408.0\n",
      "total reward of 241 episode is 500.0\n",
      "total reward of 242 episode is 397.0\n",
      "total reward of 243 episode is 222.0\n",
      "total reward of 244 episode is 429.0\n",
      "total reward of 245 episode is 320.0\n",
      "total reward of 246 episode is 329.0\n",
      "total reward of 247 episode is 270.0\n",
      "total reward of 248 episode is 232.0\n",
      "total reward of 249 episode is 244.0\n",
      "total reward of 250 episode is 458.0\n",
      "total reward of 251 episode is 222.0\n",
      "total reward of 252 episode is 411.0\n",
      "total reward of 253 episode is 500.0\n",
      "total reward of 254 episode is 500.0\n",
      "total reward of 255 episode is 500.0\n",
      "total reward of 256 episode is 500.0\n",
      "total reward of 257 episode is 388.0\n",
      "total reward of 258 episode is 393.0\n",
      "total reward of 259 episode is 410.0\n",
      "total reward of 260 episode is 226.0\n",
      "total reward of 261 episode is 138.0\n",
      "total reward of 262 episode is 500.0\n",
      "total reward of 263 episode is 347.0\n",
      "total reward of 264 episode is 354.0\n",
      "total reward of 265 episode is 299.0\n",
      "total reward of 266 episode is 193.0\n",
      "total reward of 267 episode is 251.0\n",
      "total reward of 268 episode is 328.0\n",
      "total reward of 269 episode is 216.0\n",
      "total reward of 270 episode is 490.0\n",
      "total reward of 271 episode is 500.0\n",
      "total reward of 272 episode is 500.0\n",
      "total reward of 273 episode is 441.0\n",
      "total reward of 274 episode is 370.0\n",
      "total reward of 275 episode is 500.0\n",
      "total reward of 276 episode is 500.0\n",
      "total reward of 277 episode is 500.0\n",
      "total reward of 278 episode is 500.0\n",
      "total reward of 279 episode is 500.0\n",
      "total reward of 280 episode is 500.0\n",
      "total reward of 281 episode is 490.0\n",
      "total reward of 282 episode is 500.0\n",
      "total reward of 283 episode is 500.0\n",
      "total reward of 284 episode is 377.0\n",
      "total reward of 285 episode is 316.0\n",
      "total reward of 286 episode is 500.0\n",
      "total reward of 287 episode is 500.0\n",
      "total reward of 288 episode is 238.0\n",
      "total reward of 289 episode is 500.0\n",
      "total reward of 290 episode is 500.0\n",
      "total reward of 291 episode is 500.0\n",
      "total reward of 292 episode is 136.0\n",
      "total reward of 293 episode is 500.0\n",
      "total reward of 294 episode is 500.0\n",
      "total reward of 295 episode is 439.0\n",
      "total reward of 296 episode is 500.0\n",
      "total reward of 297 episode is 500.0\n",
      "total reward of 298 episode is 500.0\n",
      "total reward of 299 episode is 280.0\n",
      "total reward of 300 episode is 500.0\n",
      "total reward of 301 episode is 500.0\n",
      "total reward of 302 episode is 500.0\n",
      "total reward of 303 episode is 500.0\n",
      "total reward of 304 episode is 329.0\n",
      "total reward of 305 episode is 281.0\n",
      "total reward of 306 episode is 500.0\n",
      "total reward of 307 episode is 500.0\n",
      "total reward of 308 episode is 500.0\n",
      "total reward of 309 episode is 500.0\n",
      "total reward of 310 episode is 500.0\n",
      "total reward of 311 episode is 500.0\n",
      "total reward of 312 episode is 449.0\n",
      "total reward of 313 episode is 218.0\n",
      "total reward of 314 episode is 325.0\n",
      "total reward of 315 episode is 464.0\n",
      "total reward of 316 episode is 500.0\n",
      "total reward of 317 episode is 500.0\n",
      "total reward of 318 episode is 374.0\n",
      "total reward of 319 episode is 500.0\n",
      "total reward of 320 episode is 500.0\n",
      "total reward of 321 episode is 336.0\n",
      "total reward of 322 episode is 276.0\n",
      "total reward of 323 episode is 442.0\n",
      "total reward of 324 episode is 324.0\n",
      "total reward of 325 episode is 500.0\n",
      "total reward of 326 episode is 346.0\n",
      "total reward of 327 episode is 279.0\n",
      "total reward of 328 episode is 150.0\n",
      "total reward of 329 episode is 371.0\n",
      "total reward of 330 episode is 500.0\n",
      "total reward of 331 episode is 464.0\n",
      "total reward of 332 episode is 192.0\n",
      "total reward of 333 episode is 500.0\n",
      "total reward of 334 episode is 500.0\n",
      "total reward of 335 episode is 500.0\n",
      "total reward of 336 episode is 500.0\n",
      "total reward of 337 episode is 500.0\n",
      "total reward of 338 episode is 277.0\n",
      "total reward of 339 episode is 171.0\n",
      "total reward of 340 episode is 500.0\n",
      "total reward of 341 episode is 500.0\n",
      "total reward of 342 episode is 500.0\n",
      "total reward of 343 episode is 500.0\n",
      "total reward of 344 episode is 484.0\n",
      "total reward of 345 episode is 500.0\n",
      "total reward of 346 episode is 500.0\n",
      "total reward of 347 episode is 500.0\n",
      "total reward of 348 episode is 398.0\n",
      "total reward of 349 episode is 500.0\n",
      "total reward of 350 episode is 500.0\n",
      "total reward of 351 episode is 500.0\n",
      "total reward of 352 episode is 500.0\n",
      "total reward of 353 episode is 395.0\n",
      "total reward of 354 episode is 500.0\n",
      "total reward of 355 episode is 500.0\n",
      "total reward of 356 episode is 500.0\n",
      "total reward of 357 episode is 500.0\n",
      "total reward of 358 episode is 500.0\n",
      "total reward of 359 episode is 500.0\n",
      "total reward of 360 episode is 500.0\n",
      "total reward of 361 episode is 500.0\n",
      "total reward of 362 episode is 432.0\n",
      "total reward of 363 episode is 188.0\n",
      "total reward of 364 episode is 500.0\n",
      "total reward of 365 episode is 452.0\n",
      "total reward of 366 episode is 500.0\n",
      "total reward of 367 episode is 500.0\n",
      "total reward of 368 episode is 500.0\n",
      "total reward of 369 episode is 383.0\n",
      "total reward of 370 episode is 500.0\n",
      "total reward of 371 episode is 500.0\n",
      "total reward of 372 episode is 500.0\n",
      "total reward of 373 episode is 500.0\n",
      "total reward of 374 episode is 324.0\n",
      "total reward of 375 episode is 268.0\n",
      "total reward of 376 episode is 500.0\n",
      "total reward of 377 episode is 500.0\n",
      "total reward of 378 episode is 285.0\n",
      "total reward of 379 episode is 314.0\n",
      "total reward of 380 episode is 500.0\n",
      "total reward of 381 episode is 440.0\n",
      "total reward of 382 episode is 500.0\n",
      "total reward of 383 episode is 500.0\n",
      "total reward of 384 episode is 500.0\n",
      "total reward of 385 episode is 500.0\n",
      "total reward of 386 episode is 234.0\n",
      "total reward of 387 episode is 384.0\n",
      "total reward of 388 episode is 500.0\n",
      "total reward of 389 episode is 500.0\n",
      "total reward of 390 episode is 257.0\n",
      "total reward of 391 episode is 276.0\n",
      "total reward of 392 episode is 139.0\n",
      "total reward of 393 episode is 322.0\n",
      "total reward of 394 episode is 292.0\n",
      "total reward of 395 episode is 217.0\n",
      "total reward of 396 episode is 355.0\n",
      "total reward of 397 episode is 440.0\n",
      "total reward of 398 episode is 280.0\n",
      "total reward of 399 episode is 500.0\n",
      "total reward of 400 episode is 500.0\n",
      "total reward of 401 episode is 372.0\n",
      "total reward of 402 episode is 430.0\n",
      "total reward of 403 episode is 400.0\n",
      "total reward of 404 episode is 500.0\n",
      "total reward of 405 episode is 295.0\n",
      "total reward of 406 episode is 334.0\n",
      "total reward of 407 episode is 500.0\n",
      "total reward of 408 episode is 300.0\n",
      "total reward of 409 episode is 422.0\n",
      "total reward of 410 episode is 500.0\n",
      "total reward of 411 episode is 500.0\n",
      "total reward of 412 episode is 392.0\n",
      "total reward of 413 episode is 268.0\n",
      "total reward of 414 episode is 337.0\n",
      "total reward of 415 episode is 500.0\n",
      "total reward of 416 episode is 374.0\n",
      "total reward of 417 episode is 263.0\n",
      "total reward of 418 episode is 500.0\n",
      "total reward of 419 episode is 500.0\n",
      "total reward of 420 episode is 96.0\n",
      "total reward of 421 episode is 204.0\n",
      "total reward of 422 episode is 355.0\n",
      "total reward of 423 episode is 500.0\n",
      "total reward of 424 episode is 270.0\n",
      "total reward of 425 episode is 500.0\n",
      "total reward of 426 episode is 235.0\n",
      "total reward of 427 episode is 473.0\n",
      "total reward of 428 episode is 349.0\n",
      "total reward of 429 episode is 323.0\n",
      "total reward of 430 episode is 288.0\n",
      "total reward of 431 episode is 280.0\n",
      "total reward of 432 episode is 259.0\n",
      "total reward of 433 episode is 367.0\n",
      "total reward of 434 episode is 246.0\n",
      "total reward of 435 episode is 214.0\n",
      "total reward of 436 episode is 281.0\n",
      "total reward of 437 episode is 500.0\n",
      "total reward of 438 episode is 244.0\n",
      "total reward of 439 episode is 274.0\n",
      "total reward of 440 episode is 245.0\n",
      "total reward of 441 episode is 500.0\n",
      "total reward of 442 episode is 500.0\n",
      "total reward of 443 episode is 500.0\n",
      "total reward of 444 episode is 366.0\n",
      "total reward of 445 episode is 400.0\n",
      "total reward of 446 episode is 491.0\n",
      "total reward of 447 episode is 457.0\n",
      "total reward of 448 episode is 365.0\n",
      "total reward of 449 episode is 329.0\n",
      "total reward of 450 episode is 216.0\n",
      "total reward of 451 episode is 473.0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total reward of 452 episode is 500.0\n",
      "total reward of 453 episode is 500.0\n",
      "total reward of 454 episode is 500.0\n",
      "total reward of 455 episode is 500.0\n",
      "total reward of 456 episode is 409.0\n",
      "total reward of 457 episode is 500.0\n",
      "total reward of 458 episode is 452.0\n",
      "total reward of 459 episode is 500.0\n",
      "total reward of 460 episode is 500.0\n",
      "total reward of 461 episode is 500.0\n",
      "total reward of 462 episode is 500.0\n",
      "total reward of 463 episode is 500.0\n",
      "total reward of 464 episode is 500.0\n",
      "total reward of 465 episode is 489.0\n",
      "total reward of 466 episode is 500.0\n",
      "total reward of 467 episode is 371.0\n",
      "total reward of 468 episode is 500.0\n",
      "total reward of 469 episode is 355.0\n",
      "total reward of 470 episode is 274.0\n",
      "total reward of 471 episode is 500.0\n",
      "total reward of 472 episode is 500.0\n",
      "total reward of 473 episode is 369.0\n",
      "total reward of 474 episode is 180.0\n",
      "total reward of 475 episode is 313.0\n",
      "total reward of 476 episode is 500.0\n",
      "total reward of 477 episode is 490.0\n",
      "total reward of 478 episode is 500.0\n",
      "total reward of 479 episode is 500.0\n",
      "total reward of 480 episode is 331.0\n",
      "total reward of 481 episode is 483.0\n",
      "total reward of 482 episode is 466.0\n",
      "total reward of 483 episode is 350.0\n",
      "total reward of 484 episode is 500.0\n",
      "total reward of 485 episode is 447.0\n",
      "total reward of 486 episode is 364.0\n",
      "total reward of 487 episode is 500.0\n",
      "total reward of 488 episode is 500.0\n",
      "total reward of 489 episode is 411.0\n",
      "total reward of 490 episode is 433.0\n",
      "total reward of 491 episode is 448.0\n",
      "total reward of 492 episode is 491.0\n",
      "total reward of 493 episode is 274.0\n",
      "total reward of 494 episode is 448.0\n",
      "total reward of 495 episode is 446.0\n",
      "total reward of 496 episode is 341.0\n",
      "total reward of 497 episode is 470.0\n",
      "total reward of 498 episode is 498.0\n",
      "total reward of 499 episode is 483.0\n"
     ]
    }
   ],
   "source": [
    "reinforce.train(500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "reinforce.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total reward is 417.0\n"
     ]
    }
   ],
   "source": [
    "# This is the learned policy \n",
    "state = env.reset()\n",
    "done = False \n",
    "total_reward = 0\n",
    "while not done:  \n",
    "\n",
    "    with torch.no_grad():\n",
    "        state = torch.FloatTensor(state).unsqueeze(0).to(device)\n",
    "        action_prob = policy( state )\n",
    "        distribution = Categorical(action_prob)  \n",
    "        action = distribution.sample() \n",
    "        env.render()\n",
    "        state, reward, done, _ = env.step( int(action.cpu()) )\n",
    "        total_reward += reward\n",
    "print('total reward is ' + str(total_reward))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total reward is 13.0\n"
     ]
    }
   ],
   "source": [
    "# This is a random policy \n",
    "state = env.reset()\n",
    "done = False \n",
    "total_reward = 0\n",
    "while not done:\n",
    "    with torch.no_grad():\n",
    "        env.render()\n",
    "        state, reward, done, _ = env.step( env.action_space.sample() )\n",
    "        total_reward += reward\n",
    "print('total reward is ' + str(total_reward))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}