{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XYZ Example\n",
    "\n",
    "In this tutorial we load an XYZ trajectory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import exatomic\n",
    "import bz2, os\n",
    "if not hasattr(bz2, \"open\"):\n",
    "    bz2.open = bz2.BZ2File"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The extra stuff, bz2, is due to the fact that the data is compressed\n",
    "- Typically, the syntax is as simple as **exatomic.XYZ(\"myfile.xyz\")**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "xyz = exatomic.XYZ(exatomic.base.resource(\"H2O.traj.xyz\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The xyz object is an **Editor**\n",
    "- **Editors** are representations of text files on disk\n",
    "- These objects facilitate parsing of output data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     0: 192\n",
      "     1: frame: 500\n",
      "     2: O   10.28508956   8.14460938   13.52695208\n",
      "     3: O   11.35249854   11.35175769   9.48063013\n",
      "     4: O   12.13309196   8.16159606   4.40491549\n",
      "     5: O   13.08212337   0.82074230   8.49852496\n",
      "     6: O   11.61851733   6.25548970   6.55479391\n",
      "     7: O   9.43623192   4.76428163   2.98272836\n",
      "     8: O   13.09122527 -0.60466753   1.95264245\n",
      "     9: O   12.99597287   5.17908995   0.11265448 "
     ]
    }
   ],
   "source": [
    "xyz.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "227941: H   6.04990327   3.24458779   2.04330157\n",
      "227942: H   3.57922006 -0.35624345 -2.44128726\n",
      "227943: H -3.88712344   4.80109139   4.02831396\n",
      "227944: H -1.25442119   5.64846732   2.59449545\n",
      "227945: H   5.15913457   2.78450812   10.49242229\n",
      "227946: H   3.73656644   16.44876653   12.33820213\n",
      "227947: H   1.84052508   5.15303842   9.75342242\n",
      "227948: H -0.71357806   4.52787046   1.57043161\n",
      "227949: H   3.75299748   1.08580857   6.38535047\n",
      " "
     ]
    }
   ],
   "source": [
    "xyz.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- We expect 1175 **frames** (remember that **frames** are states - in this case denoting steps in time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1175"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(xyz) // (192 + 2)     # 192 atoms per frame plus 2 for the xyz file syntax"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Parsing is performed automatically if the attribute of interest is requested"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "      <th>0</th>\n",
       "      <td>O</td>\n",
       "      <td>19.4359</td>\n",
       "      <td>15.39100</td>\n",
       "      <td>25.56210</td>\n",
       "      <td>0</td>\n",
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       "      <th>1</th>\n",
       "      <td>O</td>\n",
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       "      <th>2</th>\n",
       "      <td>O</td>\n",
       "      <td>22.9281</td>\n",
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       "      <td>8.32404</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>O</td>\n",
       "      <td>24.7215</td>\n",
       "      <td>1.55097</td>\n",
       "      <td>16.05980</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>O</td>\n",
       "      <td>21.9557</td>\n",
       "      <td>11.82110</td>\n",
       "      <td>12.38670</td>\n",
       "      <td>0</td>\n",
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       "</table>\n",
       "</div>"
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      "text/plain": [
       "DataFrame(5, 5)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xyz.atom.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>atom_count</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>frame</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
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       "      <th>0</th>\n",
       "      <td>192</td>\n",
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       "      <th>3</th>\n",
       "      <td>192</td>\n",
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       "      <th>4</th>\n",
       "      <td>192</td>\n",
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       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "DataFrame(5, 1)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xyz.frame.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Always check that data was correctly constructed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "      <th></th>\n",
       "      <th>atom_count</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>frame</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
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       "    <tr>\n",
       "      <th>1170</th>\n",
       "      <td>192</td>\n",
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       "      <td>192</td>\n",
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       "      <th>1174</th>\n",
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      "text/plain": [
       "DataFrame(5, 1)"
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     },
     "execution_count": 9,
     "metadata": {},
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   ],
   "source": [
    "xyz.frame.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- This happens to be a periodic calculations so lets quickly add that information\n",
    "- This is important for periodic two-body calculations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i, r in enumerate((\"x\", \"y\", \"z\")):\n",
    "    for j, q in enumerate((\"i\", \"j\", \"k\")):\n",
    "        if i == j:\n",
    "            xyz.frame[r+q] = 12.4/0.529\n",
    "        else:\n",
    "            xyz.frame[r+q] = 0.0\n",
    "    xyz.frame[\"o\"+r] = 0.0\n",
    "xyz.frame['periodic'] = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "      <th>225595</th>\n",
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       "      <td>H</td>\n",
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       "      <th>225598</th>\n",
       "      <td>H</td>\n",
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       "      <td>2.96767</td>\n",
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       "      <th>225599</th>\n",
       "      <td>H</td>\n",
       "      <td>7.09210</td>\n",
       "      <td>2.05187</td>\n",
       "      <td>12.06650</td>\n",
       "      <td>1174</td>\n",
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       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "DataFrame(5, 5)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xyz.atom.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.all(xyz.atom.groupby(\"frame\").size() == 192)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The **XYZ** object has a convenience method for creating a **Universe**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1175"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uni = xyz.to_universe()\n",
    "len(uni)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Note that **data is not duplicated**!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uni.atom is xyz.atom"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uni.frame is xyz.frame"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- We can ask exatomic to compute distances (bonds)\n",
    "- **WARNING** this operation might take a minute!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.5 s, sys: 2.56 s, total: 14.1 s\n",
      "Wall time: 16.1 s\n"
     ]
    }
   ],
   "source": [
    "%time uni.compute_atom_two()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3564092, 5)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uni.atom_two.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150395, 5)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uni.atom_two[uni.atom_two['bond'] == True].shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- This means that changes to **xyz.atom** will appear in **uni.atom**\n",
    "- The **network** method helps keep track of what data objects exist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<networkx.classes.graph.Graph at 0x7f755061d240>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uni.network()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Since **atom_two** scales quadractically its size is large compared to the other datatables\n",
    "- The **unit_atom** table is needed for computing periodic two-body data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "atom0         category\n",
       "atom1         category\n",
       "dr             float64\n",
       "projection       int64\n",
       "bond              bool\n",
       "dtype: object"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "uni.atom_two.dtypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Of course we can also visualize the animation of the trajectory!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "16c4745734bd4116ac83fb7cb8fc9315",
       "version_major": 2,
       "version_minor": 0
      },
      "text/html": [
       "<p>Failed to display Jupyter Widget of type <code>UniverseWidget</code>.</p>\n",
       "<p>\n",
       "  If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n",
       "  that the widgets JavaScript is still loading. If this message persists, it\n",
       "  likely means that the widgets JavaScript library is either not installed or\n",
       "  not enabled. See the <a href=\"https://ipywidgets.readthedocs.io/en/stable/user_install.html\">Jupyter\n",
       "  Widgets Documentation</a> for setup instructions.\n",
       "</p>\n",
       "<p>\n",
       "  If you're reading this message in another frontend (for example, a static\n",
       "  rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n",
       "  it may mean that your frontend doesn't currently support widgets.\n",
       "</p>\n"
      ],
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