analysis/throwing.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Non-commercial Use License\n",
    "\n",
    "Copyright (c) 2021 Siemens Technology\n",
    "\n",
    "This software, along with associated documentation files (the \"Software\"), is \n",
    "provided for the sole purpose of providing Proof of Concept. Any commercial \n",
    "uses of the Software including, but not limited to, the rights to sublicense, \n",
    "and/or sell copies of the Software are prohibited and are subject to a \n",
    "separate licensing agreement with Siemens. This software may be proprietary \n",
    "to Siemens and may be covered by patent and copyright laws. Processes \n",
    "controlled by the Software are patent pending.\n",
    "\n",
    "The above copyright notice and this permission notice shall remain attached \n",
    "to the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR \n",
    "IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n",
    "FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE \n",
    "AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n",
    "LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, \n",
    "OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\n",
    "SOFTWARE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os, sys\n",
    "THIS_DIR = os.path.abspath('')\n",
    "PARENT_DIR = os.path.dirname(os.path.abspath(''))\n",
    "sys.path.append(PARENT_DIR)\n",
    "\n",
    "from systems.bouncing_disks import BouncingDisks, ThrowAnimation\n",
    "from pytorch_lightning import seed_everything\n",
    "\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "from trainer_throwing import Model\n",
    "\n",
    "import matplotlib.animation as animation\n",
    "\n",
    "seed_everything(0)\n",
    "\n",
    "os.makedirs(os.path.join(PARENT_DIR, \"figures\"), exist_ok=True)\n",
    "FIG_DIR = os.path.join(PARENT_DIR, \"figures\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# a no-so-elegant way to import the learned models, will remove this at the end\n",
    "os.symlink('../logs', './logs')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_helper(folder_name, i=-1):\n",
    "    checkpoint_path = os.path.join(\n",
    "        PARENT_DIR,\n",
    "        \"logs\",\n",
    "        folder_name,\n",
    "        \"version_0\",\n",
    "        \"last.ckpt\"\n",
    "    )\n",
    "    model = Model.load_from_checkpoint(checkpoint_path)\n",
    "    if model.hparams.task == \"hit\":\n",
    "        model.initial_velocity = nn.Parameter(torch.from_numpy(model.history[i]))\n",
    "    else:\n",
    "        model.initial_w = nn.Parameter(torch.tensor([model.history[i][2]]))\n",
    "    model.eval()\n",
    "    zT, status, loss = model.test_step(None, None)\n",
    "    zT = torch.stack(zT, dim=0).reshape(1, -1, 2, 3, 2)\n",
    "    model.body.animator = ThrowAnimation\n",
    "    writervideo = animation.FFMpegWriter(fps=30)\n",
    "    ani = model.body.animate(zT, 0, task=model.hparams.task, target=model.target_xy, init_pos=model.initial_position)\n",
    "\n",
    "    is_learned_model = \"_learned\" if model.hparams.ckpt_path else \"\"\n",
    "    name = model.hparams.task + is_learned_model\n",
    "    ani.save(os.path.join(FIG_DIR, f\"{name}.gif\"), writer=writervideo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x756 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_helper(\"hit_BD1_homo_cor0.8_mu0.2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x756 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_helper(\"vertical_nospin_BD1_homo_cor0.8_mu0.2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "406 out of 800 trajectories contains collision.\n",
      "50 out of 100 trajectories contains collision.\n",
      "50 out of 100 trajectories contains collision.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x756 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_helper(\"hit_BD1_homo_cor0.8_mu0.2_learned\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "406 out of 800 trajectories contains collision.\n",
      "50 out of 100 trajectories contains collision.\n",
      "50 out of 100 trajectories contains collision.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 756x756 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_helper(\"vertical_nospin_BD1_homo_cor0.8_mu0.2_learned\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "successfully unlink the directory\n"
     ]
    }
   ],
   "source": [
    "# remove symlink\n",
    "try:\n",
    "    os.unlink('./logs')\n",
    "    print(\"successfully unlink the directory\")\n",
    "except FileNotFoundError as e:\n",
    "    print(e)\n",
    "    "
   ]
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}