{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Complexity Reduction\n",
    "In this tutorial, we will demonstrate the complexity reduction framework of PyBigDFT. We will begin with the notion of fragment observables by extracting some quantities from a calculation. Then we will introduce the notion of fragment purity to determine the quality of a given fragmentation. We will then present the fragment bond order as a means of quantifying fragment interaction and building interaction graphs. Finally, we will use all of that information to automatically partition a system into fragments."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## System Preparation\n",
    "First we need a system to use an an example. We will start with a CO2 molecule."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.IO import XYZReader\n",
    "from BigDFT.Systems import System\n",
    "from BigDFT.Fragments import Fragment\n",
    "\n",
    "sys = System()\n",
    "sys[\"CO2:0\"] = Fragment()\n",
    "\n",
    "with XYZReader(\"CO2\") as ifile:\n",
    "    for at in ifile:\n",
    "        sys[\"CO2:0\"].append(at)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.IO import write_pdb\n",
    "with open(\"CO2.pdb\", \"w\") as ofile:\n",
    "    write_pdb(sys, ofile)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's put that in a water box using the [PDB](https://github.com/openmm/pdbfixer) fixer program."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from os import system\n",
    "from os.path import exists\n",
    "\n",
    "# So you don't have to recalculate!\n",
    "if not exists(\"test.pdb\"):\n",
    "    system(\"pdbfixer  CO2.pdb --water-box=1 1 1 --output test.pdb\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.IO import read_pdb\n",
    "with open(\"test.pdb\") as ifile:\n",
    "    sys = read_pdb(ifile)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the system we created."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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       "\tviewergrid_1607492134394539[0][0].setStyle({\"model\": -1, \"serial\": 95},{\"sphere\": {\"scale\": 0.2, \"color\": \"#A800FF\"}});\n",
       "\tviewergrid_1607492134394539[0][0].zoomTo();\n",
       "viewergrid_1607492134394539[0][0].render();\n",
       "});\n",
       "</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from BigDFT.Visualization import InlineVisualizer\n",
    "viz = InlineVisualizer(400,300)\n",
    "viz.display_system(sys)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## System Calculation\n",
    "Now we need to perform a calculation of the system of interest. The key ingredients are to use the linear scaling mode and to write the matrices to file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.Inputfiles import Inputfile\n",
    "inp = Inputfile()\n",
    "inp.set_hgrid(0.4)\n",
    "inp.set_xc(\"PBE\")\n",
    "inp.write_support_function_matrices()\n",
    "inp[\"import\"] = \"linear\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initialize a Calculator with OMP_NUM_THREADS=4 and command mpirun -np 1 /Users/wddawson/Documents/CEA/binaries/bds/install/bin/bigdft\n"
     ]
    }
   ],
   "source": [
    "from BigDFT.Calculators import SystemCalculator\n",
    "code = SystemCalculator(verbose=False, skip=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "log = code.run(input=inp, posinp=sys.get_posinp(), name=\"cr2\", run_dir=\"work\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After doing a calculation, we need to associate a system with the values that were computed by our BigDFT Calculation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "sys.set_logfile_info(log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Examining System Properties\n",
    "Let's take a look at some of the properties of our system. For example, the fragment charges."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Fragment Net Charges')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from BigDFT.Systems import plot_fragment_information\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "fig, axs = plt.subplots(1,1, figsize=(12,4))\n",
    "\n",
    "data = {x: [y.qcharge - y.nel] for x, y in sys.items()}\n",
    "plot_fragment_information(axs, data)\n",
    "axs.set_title(\"Fragment Net Charges\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dipole of a fragment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Fragment Dipole Strength')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy.linalg import norm\n",
    "fig, axs = plt.subplots(1,1, figsize=(12,4))\n",
    "data = {x: norm(y.q0) for x, y in sys.items()}\n",
    "plot_fragment_information(axs, data)\n",
    "axs.set_title(\"Fragment Dipole Strength\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or the the net force on any of the fragments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Fragment Net Force')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1,1, figsize=(12,4))\n",
    "data = {x: norm(y.get_net_force()) for x, y in sys.items()}\n",
    "plot_fragment_information(axs, data)\n",
    "axs.set_title(\"Fragment Net Force\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fragment Purity\n",
    "The purity indicator is a measure of how good a given fragment is. It measures the balance between its interaction with itself an its interaction with other molecules. We can extract purity values for each of the fragments in our system. The BigDFTool will give us access to these values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.PostProcessing import BigDFTool\n",
    "btool = BigDFTool()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "purities = btool.run_compute_purity(sys, log)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Fragment Purities')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1,1, figsize=(12,4))\n",
    "plot_fragment_information(axs, purities)\n",
    "axs.set_title(\"Fragment Purities\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fragment Bond Order"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fragment bond order represents a measure of the interaction between any given two fragments. Together with the purity and the charges of a system, we can create a FragmentView object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.Systems import FragmentView\n",
    "charges = {fragid: sum(at.nel for at in frag) for fragid, frag in sys.items()}\n",
    "bo = btool.fragment_bond_order(sys, sys, sys, log)\n",
    "view = FragmentView(purities, bo, charges)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's visualize this interaction by creating a graph view of the system using the fragment bond order."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.BioQM import Graph\n",
    "g = Graph(list(sys), bo, [x.replace(\":\",\"\\n\") for x in sys])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = [\"tab:olive\" if \"CO\" in x else \"tab:cyan\" for x in sys]\n",
    "fig, axs = plt.subplots(1,1,figsize=(12,8))\n",
    "axs.axis(\"off\")\n",
    "g.display(node_size=500, font_size=8, axs=axs, alpha=0.8, colors=colors, style='--')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes it might be hard to see the fragment we are actually interested in."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = Graph(list(sys), bo, [x.replace(\":\",\"\\n\") for x in sys], restrict_to=[\"CO2:0\"])\n",
    "colors = []\n",
    "for fragid in sys:\n",
    "    if \"CO\" in fragid:\n",
    "        colors.append(\"tab:olive\")\n",
    "    else:\n",
    "        colors.append(\"tab:cyan\")\n",
    "fig, axs = plt.subplots(1,1,figsize=(12,8))\n",
    "axs.axis(\"off\")\n",
    "g.display(node_size=500, font_size=8, axs=axs, alpha=0.8, colors=colors, style='--')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Auto Fragmentation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes, we wish to re-organize the system with a stricter criteria for what kind of fragments we will use. This can be done automatically by the BIgDFTool."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'HOH:30': ['HOH:30'], 'HOH:10': ['HOH:10'], 'HOH:27+HOH:20': ['HOH:27', 'HOH:20'], 'HOH:22': ['HOH:22'], 'HOH:23': ['HOH:23'], 'HOH:3': ['HOH:3'], 'HOH:32': ['HOH:32'], 'HOH:11': ['HOH:11'], 'HOH:6': ['HOH:6'], 'HOH:17': ['HOH:17'], 'HOH:29+HOH:12+HOH:25+CO2:0': ['HOH:29', 'HOH:12', 'HOH:25', 'CO2:0'], 'HOH:2+HOH:13': ['HOH:2', 'HOH:13'], 'HOH:31': ['HOH:31'], 'HOH:9+HOH:24': ['HOH:9', 'HOH:24'], 'HOH:19+HOH:28': ['HOH:19', 'HOH:28'], 'HOH:5': ['HOH:5'], 'HOH:26': ['HOH:26'], 'HOH:21': ['HOH:21'], 'HOH:18': ['HOH:18'], 'HOH:8': ['HOH:8'], 'HOH:4+HOH:16': ['HOH:4', 'HOH:16'], 'HOH:15': ['HOH:15'], 'HOH:14': ['HOH:14'], 'HOH:7': ['HOH:7']}\n"
     ]
    }
   ],
   "source": [
    "mapping = btool.auto_fragment(sys, view, 0.01)\n",
    "print(mapping)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "newsys = System()\n",
    "for f1, frag_list in mapping.items():\n",
    "    newsys[f1] = Fragment()\n",
    "    for f2 in frag_list:\n",
    "        newsys[f1] += sys[f2]\n",
    "new_view = view.refragment(mapping)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can verify the new purity values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Refragmented Purities')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtgAAAEICAYAAABlBYO3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAcyUlEQVR4nO3de7DkZ13n8ffHhKCCSrK5kBsEZVADusiejuB6SSuBhN1UsqV0JboaLXejZ83uaoljEGfEGXHxlIplGY8bUYmii12iJC5ZQzLbiy4Lu+cMIhhiNmOIZMiYTOQWxDUEvvtH/yacmTnX6d/pntPn/ao61f27PL/n6U5X5zO/+vbzpKqQJEmS1I4vmPQAJEmSpGliwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaZMCWJEmSWmTAlqQTkOScJH+a5LEkvzDp8UxSkkuTHBxTXz+R5I2rHP+uJO8Yx1gkaSWnTnoAkjQpSR4AzgE+C3wK+BPghqr61DqaXw88CnxpbfEFBZK8CThYVT+5Sdcv4NNAAZ8Afh/4sar67EavVVU/u+S6FwEfAp5SVU80x38X+N3RRy1JJ8472JK2uyur6unAC4GvA169znbPBj64UrhO4g2Mo/3T5n3+NuA7gX+70Qv4nkraKgzYkgRU1d8CdzAM2gAkeXGS/5Xk40n+Ismlzf43AdcBO5N8KslLk7w2yR8keXOSTwLfm+SSJO9u2h9K8itJTlty/ZcluTfJJ5L8apJ3Jvk3zbHvTfKuJG9o2t+f5Bua/Q8meSTJdUuu9dQkP5/kw0keTvJrSb6oOXZpkoNJfrRpdyjJ9zXHrge+a8lr+eNm/3lJ3prkcJIPJfkPS/r6oiRvSvKxJB8EOht4n/8K+DPgBcuVliR5IMlLm+fLvaevTfLm5vQ/bR4/3oz9Jc378z+XXO+rktyZ5KPNe91bcuwVST7YlPl8JMmr1vs6JGk1BmxJApJcAFwBHGi2zwfeDvwMcAbwKuCtSc6qqu9lWIYwV1VPr6q7mstcBfwB8Izm+GeBHwHOBF7C8O7tv2uuf2Zz7quBfwLcC3zDMcP6euD9zfHfA97CMMw+F/jXwK8keXpz7s8Bz2P4D4TnAucDu5dc65nAlzX7vx+4KcnpVXXzMa/lyiRfAPwx8BfN+d8G/HCSlzfX+ingK5q/lzP8x8a6JLkY+Cbgz9fZ5Nj3dKlvbh6f0Yz93cf09TTgTobv3dnAtcCvJnl+c8pvAD9QVV8CvAD47+t9HZK0GgO2pO3ubUkeAx4EHmEYHmEYYG+vqtur6nNVdSewCLxilWu9u6re1pz/D1W1v6reU1VPVNUDwH8GvqU59xXA3VX1h0398C8Df3vM9T5UVb/V1Cr/PnAhsKeq/rGq3gE8Djw3SRiWXPxIVX20qh4Dfha4Zsm1PtO0/UxV3c6w5vwrV3gdHeCsqtpTVY9X1f3Ary+5Xg94XdPXg83Y1/LeJB9jGNzfCPzWOtrAMe/pOtsc8S+BB5r38Imqei/wVuA7muOfAS5O8qVV9bHmuCSNzHo2Sdvd1VV1V5JvYXin80zg4wxrrF+Z5Mol5z4FGKxyrQeXbiR5HvCLwAzwxQy/c/c3h89ben5V1TIzcTy85Pk/NOcdu+/pwFnN9fcPs/awe+CUJef+3ZEfAjY+3bRdzrOB85J8fMm+UxiWdhw3duBvVrjOUi+qqgNLdywZ62oeXPuUFT0b+PpjXsepwO80z78d+Eng9UneD9x47F1wSToRBmxJAqrqnU1t9c8DVzMMdr9TVRv5Md6xP3icZ1gKcW1VPZbkh/n83dNDwAVHTmzuQl/AiXmUYdh+flV95ATaHzvuBxnePd+xwvmHGN5Nv7vZftYJ9Anw9wz/YQBAklMY/mNhtbGt9xgMX8c7q+qyZRtXLQBXJXkKcAPQZ/i6JGkklohI0uf9EnBZkhcCbwauTPLyJKck+cLmR3kbCcFfAnwS+FSSrwJmlxx7O/A1Sa5uZsf4IYZ10htWVZ9jWMLxhiRnw7CGfEnN9FoeBr58yfb/AT6Z5MebHzSekuQFSY78mLEPvDrJ6c378e9PZNzA/wW+MMm/aELuTwJP3UD7w8Dnjhn7Uv8VeF6S707ylOavk+Srk5yW4ZzZX1ZVn2H432nD0wZK0nIM2JLUqKrDwG8Du5ra4quAn2AY5B4EfoyNfW++iuGUdI8xDMC/v6SvR4FXAnPA3wEXM6zx/scTHP6PM/yB5nuaGTfuYuUa62P9BsNa5I8neVtT830lwx9MfojhHfI3MvyRJMBPMywL+RDwDj5fcrEhVfUJhj/6fCPwEYZ3tNe9YE1VfRp4HfCuZuwvPub4Y8DLGNaOP8Swxv3n+HyI/27ggeb9+kGGdfeSNLJs8fURJGkqNDN3HAS+q6pWq/OWJJ3kvIMtSRPSlJ88I8lTGd4pD/CeCQ9LkjQiA7YkTc5LgL9mWIJxJcMZTTY6FZ0k6SRjiYgkSZLUIu9gS5IkSS2aqnmwzzzzzLrooosmPQxJkiRNuf379z9aVcfO3Q9MWcC+6KKLWFxcnPQwJEmSNOWSrLiKrSUikiRJUotaCdhJLk9yb5IDSW5c5niS/HJz/P1JXrRW2yRnJLkzyX3N4+ltjFWSJEnaTCMH7CSnADcBVzBciezaJBcfc9oVwI7m73pgfh1tbwT2VdUOYF+zLUmSJJ3U2riDfQlwoKrur6rHgbcwXF54qauA366h9wDPSHLuGm2vAm5pnt8CXN3CWCVJkqRN1UbAPh94cMn2wWbfes5Zre05VXUIoHk8e7nOk1yfZDHJ4uHDh0/4RUiSJEltaCNgZ5l9x65es9I562m7qqq6uapmqmrmrLOWnSlFkiRJU2Jubo7BYHDUvsFgwNzc3IRGdLw2AvZB4MIl2xcAD63znNXaPtyUkdA8PtLCWCVJkrSFdToder3ekyF7MBjQ6/XodDoTHtnntRGwF4AdSZ6T5DTgGuC2Y865DfieZjaRFwOfaMo+Vmt7G3Bd8/w64NYWxipJkqQtrNvt0u/36fV67N69m16vR7/fp9vtTnpoTxp5oZmqeiLJDcAdwCnAb1bV3Ul+sDn+a8DtwCuAA8Cnge9brW1z6dcD/STfD3wYeOWoY5UkSdLW1+12mZ2dZe/evezateukCtcAqdpQyfNJbWZmplzJUZIkafzm5ubodDpHhd3BYMDCwgI7d+5sta8jZSGzs7PMz89P5A52kv1VNbPcMVdylCRJ0sjGVRt95Lr9fp89e/Y8WS5y7A8fJ8mALUmSpJGNqzZ6YWHhqOse6XdhYaHVfkZhiYgkSZJas3v37idro/fs2TPp4WwaS0QkSZK06QaDAfPz8+zatYv5+fmTqmxjnAzYkiRJGtlWqI0eFwO2JEmSRrYVaqPHxRpsSZKkKTbO6fO2E2uwJUmStqmtsLT4tBl5JUdJkiSdvJZOnzfJhVm2E+9gS5IkTbmlS4vPzs4arjeZAVuSJGnKOX3eeBmwJUmSppjT542fAVuSJGmKOX3e+DlNnyRJkrRBTtMnSZIkjYkBW5IkSWqRAVuSJElqkQFbkiRJapEBW5IkSWqRAVuSJElqkQFbkiRJapEBW5IkSWqRAVuSJGnM5ubmjluqfDAYMDc3N6ERqU0GbEmSpDHrdDr0er0nQ/ZgMKDX69HpdCY8MrXh1EkPQJIkabvpdrv0+316vR6zs7PMz8/T7/fpdruTHppa4B1sSZKkCeh2u8zOzrJ3715mZ2cN11PEgC1JkjQBg8GA+fl5du3axfz8/HE12dq6DNiSJEljdqTmut/vs2fPnifLRQzZ08GALUmSNGYLCwtH1VwfqcleWFiY8MjUhlTVpMfQmpmZmVpcXJz0MCRJkjTlkuyvqpnljnkHW5IkSWqRAVuSJKnhAjBqgwFbkiSp4QIwaoMLzUiSJDVcAEZt8A62JEnSEi4Ao1EZsCVJ0klt3HXRLgCjUY0UsJOckeTOJPc1j6evcN7lSe5NciDJjWu1T3JZkv1JPtA8fuso45QkSVvXOOuiXQBGbRj1DvaNwL6q2gHsa7aPkuQU4CbgCuBi4NokF6/R/lHgyqr6GuA64HdGHKckSdqiltZF7969+8kAvBmlGy4AozaMtNBMknuBS6vqUJJzgf9RVV95zDkvAV5bVS9vtl8NUFX/aZ3twzBwn1dV/7jaeFxoRpKk6bV792727t3Lrl272LNnz6SHo21uMxeaOaeqDgE0j2cvc875wINLtg82+9bb/tuBP18rXEuSpOllXbS2kjWn6UtyF/DMZQ69Zp19ZJl967ptnuT5wM8BL1vlnOuB6wGe9axnrXNIkiRpq1haF93tdul2u5taJiKNas072FX10qp6wTJ/twIPN6UdNI+PLHOJg8CFS7YvAB5qnq/YPskFwB8B31NVf73K+G6uqpmqmjnrrLPWejmSJKkl45rdw7pobTWjlojcxvBHiDSPty5zzgKwI8lzkpwGXNO0W7F9kmcAbwdeXVXvGnGMkiRpE4xrdo+dO3ced6e62+2yc+fOVvuR2jJqwH49cFmS+4DLmm2SnJfkdoCqegK4AbgDuAfoV9Xdq7Vvzn8usCvJ+5q/5eqzJUnShIxzdg9pKxlpFpGTjbOISJI0fs7uoe1oM2cRkSRJ25ize0jHM2BLkqQT4qqH0vIM2JIk6YQ4u4e0PGuwJUmSpA2yBluSJEkaEwO2JEmS1CIDtiRJktQiA7YkSZLUIgO2JEmS1CIDtiRJU2Rubu64eagHgwFzc3MTGpG0/RiwJUmaIp1O56jFXo4sBtPpdCY8Mmn7OHXSA5AkSe05sthLr9djdnaW+fn5oxaDkbT5vIMtSdKU6Xa7zM7OsnfvXmZnZw3X0pgZsCVJmjKDwYD5+Xl27drF/Pz8cTXZkjaXAVuSpClypOa63++zZ8+eJ8tFDNnS+BiwJUnb1jhn3BhXXwsLC0fVXB+pyV5YWGi1H0krM2BLkratcc64Ma6+du7ceVzNdbfbZefOna32I2llqapJj6E1MzMztbi4OOlhSJK2kCNBdxwzboyzL0mbK8n+qppZ7ph3sCVJ29o4Z9xwdg9pezBgS5K2tXHOuOHsHtL2YMCWJG1b45xxw9k9pO3DgC1J2rbGOeOGs3tI24c/cpQkSZI2yB85SpIkSWNiwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaNFLATnJGkjuT3Nc8nr7CeZcnuTfJgSQ3rrd9kmcl+VSSV40yTkmSJGlcRr2DfSOwr6p2APua7aMkOQW4CbgCuBi4NsnF62z/BuC/jThGSZIkaWxGDdhXAbc0z28Brl7mnEuAA1V1f1U9Drylabdq+yRXA/cDd484RkmSJGlsRg3Y51TVIYDm8exlzjkfeHDJ9sFm34rtkzwN+HHgp9caQJLrkywmWTx8+PAJvxBJkiSpDaeudUKSu4BnLnPoNevsI8vsqzXa/DTwhqr6VLJc8yUXqroZuBlgZmZmretKkiRJm2rNgF1VL13pWJKHk5xbVYeSnAs8ssxpB4ELl2xfADzUPF+p/dcD35FkDngG8Lkk/6+qfmUdr0mSJEmamFFLRG4DrmueXwfcusw5C8COJM9JchpwTdNuxfZV9U1VdVFVXQT8EvCzhmtJkiRtBaMG7NcDlyW5D7is2SbJeUluB6iqJ4AbgDuAe4B+Vd29WntJkiRpq0rV9JQtz8zM1OLi4qSHIUmSpCmXZH9VzSx3zJUcJUmSpBYZsCVJ6zI3N8dgMDhq32AwYG5ubkv3JUltM2BLktal0+nQ6/WeDL6DwYBer0en09nSfUlS26zBliSt25GgOzs7y/z8PP1+n263u+X7kqSNsgZbktSKbrfL7Owse/fuZXZ2dlMD7zj7kqQ2GbAlSes2GAyYn59n165dzM/PH1cnvVX7kqQ2GbAlSetypGSj3++zZ88e+v3+UXXSW7UvSWqbAVuStC4LCwtH1UF3u136/T4LCwtbui9Japs/cpQkSZI2yB85SpIkSWNiwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaZMCWJEmSWmTAliRJklpkwJYkSZJaZMCWJEmSWmTAliRJklpkwJakLW5ubo7BYHDUvsFgwNzc3IRGJEnbmwFbkjbBOENvp9Oh1+s92d9gMKDX69HpdFrvS5K0NgO2JG2CcYbebrdLv9+n1+uxe/duer0e/X6fbrfbel+SpLUZsCVpE4w79Ha7XWZnZ9m7dy+zs7OGa0maIAO2JG2ScYbewWDA/Pw8u3btYn5+/rjyFEnS+BiwJWmTjCv0Hik/6ff77Nmz58k754ZsSZoMA7YkbYJxht6FhYWjyk+OlKcsLCy03pckaW2pqkmPoTUzMzO1uLg46WFIEnNzc3Q6naPKQgaDAQsLC+zcuXOCI5MktSHJ/qqaWfaYAVuSJEnamNUCtiUikiRJUosM2JIkSVKLDNiSthWXFZckbTYDtqSJc1lxSdI0MWBLmjiXFZckTZORAnaSM5LcmeS+5vH0Fc67PMm9SQ4kuXE97ZN8bZJ3J7k7yQeSfOEoY5V08nJZcUnSNBn1DvaNwL6q2gHsa7aPkuQU4CbgCuBi4NokF6/WPsmpwJuBH6yq5wOXAp8ZcaySTmIuKy5JmhajBuyrgFua57cAVy9zziXAgaq6v6oeB97StFut/cuA91fVXwBU1d9V1WdHHKukk5jLikuSpsWoAfucqjoE0Dyevcw55wMPLtk+2Oxbrf3zgEpyR5L3Jllx2bMk1ydZTLJ4+PDhEV+OpElwWXFJ0jQ5da0TktwFPHOZQ69ZZx9ZZt9ay0eeCnwj0AE+DexrVsvZd9yFqm4GbobhSo7rHJOkk8hqobftUpHllinvdrvWYUuSWrNmwK6ql650LMnDSc6tqkNJzgUeWea0g8CFS7YvAB5qnq/U/iDwzqp6tOnnduBFDOu0JU0ZQ68kaZqMWiJyG3Bd8/w64NZlzlkAdiR5TpLTgGuadqu1vwP42iRf3Pzg8VuAD444VkmSJGnTjRqwXw9cluQ+4LJmmyTnNXedqaongBsYhuZ7gH5V3b1a+6r6GPCLDMP5+4D3VtXbRxyrpA1y1UNJkjZupIDdzO7xbVW1o3n8aLP/oap6xZLzbq+q51XVV1TV69Zq3xx7c1U9v6peUFUr/shROlmMM4yOqy9XPZQkaeNcyVFqyTjD6Lj6ctVDSZI2zoAttWScYXTcfbnqoSRJ62fAllo0zjA6rr5c9VCSpI0xYEstGmcYHUdfrnooSdLGGbCllowzjI6rL1c9lCRp4wzYmnrjmnFjnGF0XH3t3LnzuNKTbre77MIwkiRpKFXTs7r4zMxMLS4uTnoYOsksvdvb7XaP25YkSdqoJPurama5Y2sulS5tdUtn3JidnWV+ft5wLUmSNo0lItoWnGpOkiSNiwFb24JTzUmSpHExYGvqOdWcJEkaJwO2pp5TzUmSpHFyFhFJkiRpg1abRcQ72JqIcc1NLUmSNG4GbE1Ep9M5qg76SJ10p9OZ8MgkSZJG4zzYmgjnppYkSdPKO9iaGOemliRJ08iArYlxbmpJkjSNDNiaCOemliRJ08qArYlwbmpJkjStnAdbkiRJ2iDnwZYkSZLGxIAtSZIktciAraO4wqIkSdJoDNg6iissSpIkjcaVHHUUV1iUJEkajXewdRxXWJQkSTpxBmwdxxUWJUmSTpwBW0dxhUVJkqTRGLB1FFdYlCRJGo0rOUqSJEkb5EqOkiRJ0pgYsCVJkqQWGbAlSZKkFhmwJUmSpBYZsCVJkqQWGbAlSZKkFo0UsJOckeTOJPc1j6evcN7lSe5NciDJjWu1T/KUJLck+UCSe5K8epRxSpIkSeMy6h3sG4F9VbUD2NdsHyXJKcBNwBXAxcC1SS5eo/0rgadW1dcA/wz4gSQXjThWSZIkadONGrCvAm5pnt8CXL3MOZcAB6rq/qp6HHhL02619gU8LcmpwBcBjwOfHHGskiRJ0qYbNWCfU1WHAJrHs5c553zgwSXbB5t9q7X/A+DvgUPAh4Gfr6qPLjeAJNcnWUyyePjw4RFfjiRJkjSaU9c6IcldwDOXOfSadfaRZfattT77JcBngfOA04E/S3JXVd1/3IWqbgZuhuFS6esckyRJkrQp1gzYVfXSlY4leTjJuVV1KMm5wCPLnHYQuHDJ9gXAQ83zldp/J/AnVfUZ4JEk7wJmgOMCtiRJknQyGbVE5Dbguub5dcCty5yzAOxI8pwkpwHXNO1Wa/9h4Fsz9DTgxcBfjThWSZIkadONGrBfD1yW5D7gsmabJOcluR2gqp4AbgDuAO4B+lV192rtGc468nTgLxkG9N+qqvePOFZJkiRp06VqesqWZ2ZmanFxcdLDkCRJ0pRLsr+qZpY75kqOkiRJUosM2JIkSVKLDNiSJElSiwzYkiRJUosM2JIkSVKLDNiSJElSiwzYkiRJUosM2JIkSVKLDNiSJElSiwzYkiRJUosM2FvA3Nwcg8HgqH2DwYC5ubkJjUiSJEkrMWCPYFzBt9Pp0Ov1nuxrMBjQ6/XodDqt9iNJkqTRGbBHMK7g2+126ff79Ho9du/eTa/Xo9/v0+12W+1HkiRJozNgj2Ccwbfb7TI7O8vevXuZnZ01XEuSJJ2kDNgjGlfwHQwGzM/Ps2vXLubn548rTZEkSdLJwYA9onEE3yOlJ/1+nz179jx519yQLUmSdPIxYI9gXMF3YWHhqNKTI6UpCwsLrfYjSZKk0aWqJj2G1szMzNTi4uLY+pubm6PT6RxVFjIYDFhYWGDnzp1jG4ckSZLGK8n+qppZ9pgBW5IkSdqY1QK2JSKSJElSiwzYkiRJUosM2JIkSVKLDNiSJElSiwzYkiRJUoumahaRJIeBv5lQ92cCj06ob518/DxoKT8POpafCS3l52FrenZVnbXcgakK2JOUZHGlqVq0/fh50FJ+HnQsPxNays/D9LFERJIkSWqRAVuSJElqkQG7PTdPegA6qfh50FJ+HnQsPxNays/DlLEGW5IkSWqRd7AlSZKkFhmwJUmSpBYZsEeU5PIk9yY5kOTGSY9Hk5fkgSQfSPK+JIuTHo/GK8lvJnkkyV8u2XdGkjuT3Nc8nj7JMWq8VvhMvDbJR5rvifclecUkx6jxSHJhkkGSe5LcneQ/Nvv9jpgyBuwRJDkFuAm4ArgYuDbJxZMdlU4S3ap6ofOabktvAi4/Zt+NwL6q2gHsa7a1fbyJ4z8TAG9ovideWFW3j3lMmowngB+tqq8GXgz8UJMb/I6YMgbs0VwCHKiq+6vqceAtwFUTHpOkCaqqPwU+eszuq4Bbmue3AFePdVCaqBU+E9qGqupQVb23ef4YcA9wPn5HTB0D9mjOBx5csn2w2aftrYB3JNmf5PpJD0YnhXOq6hAM/wcLnD3h8ejkcEOS9zclJJYEbDNJLgK+Dvjf+B0xdQzYo8ky+5z3UP+8ql7EsHToh5J886QHJOmkMw98BfBC4BDwC5MdjsYpydOBtwI/XFWfnPR41D4D9mgOAhcu2b4AeGhCY9FJoqoeah4fAf6IYSmRtreHk5wL0Dw+MuHxaMKq6uGq+mxVfQ74dfye2DaSPIVhuP7dqvrDZrffEVPGgD2aBWBHkuckOQ24BrhtwmPSBCV5WpIvOfIceBnwl6u30jZwG3Bd8/w64NYJjkUngSNhqvGv8HtiW0gS4DeAe6rqF5cc8jtiyriS44iaqZV+CTgF+M2qet2Eh6QJSvLlDO9aA5wK/J6fie0lyX8BLgXOBB4Gfgp4G9AHngV8GHhlVfmjt21ihc/EpQzLQwp4APiBIzW4ml5JvhH4M+ADwOea3T/BsA7b74gpYsCWJEmSWmSJiCRJktQiA7YkSZLUIgO2JEmS1CIDtiRJktQiA7YkSZLUIgO2JEmS1CIDtiRJktSi/w9PtDEsBbjKVQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1,1, figsize=(12,4))\n",
    "axs.plot(sorted(list(new_view.purities.values())), 'kx')\n",
    "axs.set_title(\"Refragmented Purities\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And visualize the refragmented system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = Graph(list(newsys), new_view.bond_orders, [x.replace(\"+\",\"\\n\") for x in newsys])\n",
    "colors = [\"tab:olive\" if \"CO\" in x else \"tab:cyan\" for x in newsys]\n",
    "fig, axs = plt.subplots(1,1,figsize=(12,8))\n",
    "axs.axis(\"off\")\n",
    "g.display(node_size=1000, font_size=8, axs=axs, alpha=0.8, colors=colors, style='--')"
   ]
  }
 ],
 "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": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}