{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 501 Why Torch Dynamic Graph\n",
    "\n",
    "View more, visit my tutorial page: https://morvanzhou.github.io/tutorials/\n",
    "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n",
    "\n",
    "Dependencies:\n",
    "* torch: 0.1.11\n",
    "* matplotlib\n",
    "* numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "from torch import nn\n",
    "from torch.autograd import Variable\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "torch.manual_seed(1)    # reproducible\n",
    "\n",
    "# Hyper Parameters\n",
    "INPUT_SIZE = 1          # rnn input size / image width\n",
    "LR = 0.02               # learning rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class RNN(nn.Module):\n",
    "    def __init__(self):\n",
    "        super(RNN, self).__init__()\n",
    "\n",
    "        self.rnn = nn.RNN(\n",
    "            input_size=1,\n",
    "            hidden_size=32,     # rnn hidden unit\n",
    "            num_layers=1,       # number of rnn layer\n",
    "            batch_first=True,   # input & output will has batch size as 1s dimension. e.g. (batch, time_step, input_size)\n",
    "        )\n",
    "        self.out = nn.Linear(32, 1)\n",
    "\n",
    "    def forward(self, x, h_state):\n",
    "        # x (batch, time_step, input_size)\n",
    "        # h_state (n_layers, batch, hidden_size)\n",
    "        # r_out (batch, time_step, output_size)\n",
    "        r_out, h_state = self.rnn(x, h_state)\n",
    "\n",
    "        outs = []                                   # this is where you can find torch is dynamic\n",
    "        for time_step in range(r_out.size(1)):      # calculate output for each time step\n",
    "            outs.append(self.out(r_out[:, time_step, :]))\n",
    "        return torch.stack(outs, dim=1), h_state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RNN (\n",
      "  (rnn): RNN(1, 32, batch_first=True)\n",
      "  (out): Linear (32 -> 1)\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "\n",
    "rnn = RNN()\n",
    "print(rnn)\n",
    "\n",
    "optimizer = torch.optim.Adam(rnn.parameters(), lr=LR)   # optimize all cnn parameters\n",
    "loss_func = nn.MSELoss()                                # the target label is not one-hotted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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    {
     "data": {
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SBEvM8DcWf4DdJW1tWOceLEdNnFfHrG00vroNx1WAxvWZtEpEK2dJhRo2jrCD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fed213b0d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h_state = None   # for initial hidden state\n",
    "\n",
    "plt.figure(1, figsize=(12, 5))\n",
    "plt.ion()   # continuously plot\n",
    "\n",
    "########################  Below is different #########################\n",
    "\n",
    "################ static time steps ##########\n",
    "# for step in range(60):\n",
    "#     start, end = step * np.pi, (step+1)*np.pi   # time steps\n",
    "#     # use sin predicts cos\n",
    "#     steps = np.linspace(start, end, 10, dtype=np.float32)\n",
    "\n",
    "################ dynamic time steps #########\n",
    "step = 0\n",
    "for i in range(60):\n",
    "    dynamic_steps = np.random.randint(1, 4)  # has random time steps\n",
    "    start, end = step * np.pi, (step + dynamic_steps) * np.pi  # different time steps length\n",
    "    step += dynamic_steps\n",
    "\n",
    "    # use sin predicts cos\n",
    "    steps = np.linspace(start, end, 10 * dynamic_steps, dtype=np.float32)\n",
    "\n",
    "#######################  Above is different ###########################\n",
    "\n",
    "    print(len(steps))       # print how many time step feed to RNN\n",
    "\n",
    "    x_np = np.sin(steps)    # float32 for converting torch FloatTensor\n",
    "    y_np = np.cos(steps)\n",
    "\n",
    "    x = Variable(torch.from_numpy(x_np[np.newaxis, :, np.newaxis]))    # shape (batch, time_step, input_size)\n",
    "    y = Variable(torch.from_numpy(y_np[np.newaxis, :, np.newaxis]))\n",
    "\n",
    "    prediction, h_state = rnn(x, h_state)   # rnn output\n",
    "    # !! next step is important !!\n",
    "    h_state = Variable(h_state.data)        # repack the hidden state, break the connection from last iteration\n",
    "\n",
    "    loss = loss_func(prediction, y)         # cross entropy loss\n",
    "    optimizer.zero_grad()                   # clear gradients for this training step\n",
    "    loss.backward()                         # backpropagation, compute gradients\n",
    "    optimizer.step()                        # apply gradients\n",
    "\n",
    "    # plotting\n",
    "    plt.plot(steps, y_np.flatten(), 'r-')\n",
    "    plt.plot(steps, prediction.data.numpy().flatten(), 'b-')\n",
    "    plt.draw()\n",
    "    plt.pause(0.05)\n",
    "\n",
    "plt.ioff()\n",
    "plt.show()"
   ]
  },
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   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": []
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