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   "source": [
    "# Comparison To Gaussian Orbitals\n",
    "In this notebook, we will compare a calculation using the BigDFT code which is based on wavelets to a calculation from a code which is based on gaussian orbitals. As our representative gaussian code, we will use [PySCF](https://sunqm.github.io/pyscf/).\n",
    "\n",
    "To do the comparison, we are going to look at a molecule composed of two fragments connected by a single bond. We will then rotate one fragment along that bond, computing the energy at each step. We will do this calculation using different basis sets, and see how the energy values converge and compare.\n",
    "\n",
    "First, we will load in the system."
   ]
  },
  {
   "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",
    "geom = \"CH3SH\"\n",
    "\n",
    "sys = System()\n",
    "sys[\"FRA:0\"] = Fragment()\n",
    "sys[\"FRA:1\"] = Fragment()\n",
    "\n",
    "with XYZReader(geom) as ifile:\n",
    "    for i, at in enumerate(ifile):\n",
    "        if i == 0 or i == 3 or i == 4 or i == 5:\n",
    "            sys[\"FRA:0\"] += Fragment([at])\n",
    "        else:\n",
    "            sys[\"FRA:1\"] += Fragment([at])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize the molecule to verify that we have properly broken it into two fragments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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      ]
     },
     "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": [
    "We want to rotate along the bond connecting the two fragments. To do this we need to compute that vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "vec = [x - y for x, y in zip(sys[\"FRA:0\"][0].get_position(), sys[\"FRA:1\"][0].get_position())]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can time step over 120 degrees."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from copy import deepcopy\n",
    "\n",
    "systems = []\n",
    "angles = []\n",
    "steps = 10\n",
    "\n",
    "for i in range(steps):\n",
    "    newsys = deepcopy(sys)\n",
    "    newsys[\"FRA:0\"].rotate_on_axis(angle=120/(steps-1) * i, axis=vec, units=\"degrees\")\n",
    "    systems.append(newsys)\n",
    "    angles += [120/(steps-1) * i]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the rotation to verify."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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       "        <tt>jupyter labextension install jupyterlab_3dmol</tt></p>\n",
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       "\tviewergrid_1608795754217016[0][0].zoomTo();\n",
       "viewergrid_1608795754217016[0][0].render();\n",
       "});\n",
       "</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "viz = InlineVisualizer(400,300)\n",
    "viz.display_system(*systems)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PySCF Calcuations\n",
    "Now let's calculate the energy of this system using the PySCF code at the Hartree-Fock level of theory. Hartree-Fock is more convenient than DFT because we do not have to consider the integration grid used for the exchange and correlation potential. We will repeat this calculation using various Karlsruhe basis sets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "basis = [\"sto-3g\", \"def2-SVP\", \"def2-TZVP\", \"def2-QZVP\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need a simple routine to convert to the pyscf format."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def convert_bigdft_to_pyscf(sys, basis=\"sto-3g\"):\n",
    "    from pyscf import gto\n",
    "    mol = gto.Mole()\n",
    "    for frag in sys.values():\n",
    "        for at in frag:\n",
    "            mol.atom.append([at.sym, at.get_position(\"angstroem\")])\n",
    "    return mol\n",
    "\n",
    "mols = [convert_bigdft_to_pyscf(x) for x in systems]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run and extract energy and forces."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sto-3g\n",
      "def2-SVP\n",
      "def2-TZVP\n",
      "def2-QZVP\n"
     ]
    }
   ],
   "source": [
    "from pyscf.scf import HF\n",
    "from numpy.linalg import norm\n",
    "\n",
    "pyscf_forces = {}\n",
    "pyscf_energies = {}\n",
    "\n",
    "for b in basis:\n",
    "    print(b)\n",
    "    pyscf_energies[b] = []\n",
    "    pyscf_forces[b] = []\n",
    "    for m in mols:\n",
    "        m.basis = b\n",
    "        m.verbose = 0\n",
    "        m.build()\n",
    "        \n",
    "        mf = HF(m)\n",
    "        pyscf_energies[b].append(mf.kernel())\n",
    "        \n",
    "        g = mf.nuc_grad_method()\n",
    "        grad = g.kernel()\n",
    "        pyscf_forces[b].append(grad)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With the calculations completed, we can now plot the values. We'll look at how the energy changes from the starting configuration, and compute the norm of the difference in forces."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "fig, axs = plt.subplots(2,1,figsize=(8,6))\n",
    "\n",
    "markers = [\"+\", \"x\", \".\", \"o\"]\n",
    "for m, b in zip(markers, basis):\n",
    "    axs[0].plot(angles, [(x - pyscf_energies[b][0]) for x in pyscf_energies[b]], label=b, marker=m, linestyle='--')\n",
    "    axs[1].plot(angles, [(norm(x - pyscf_forces[b][0])) for x in pyscf_forces[b]], label=b, marker=m, linestyle='--')\n",
    "    \n",
    "axs[0].set_ylabel(\"Energy Change (AU)\", fontsize=12)\n",
    "axs[1].set_ylabel(\"Forces (AU)\", fontsize=12)\n",
    "axs[1].set_xlabel(\"Angle (degrees)\", fontsize=12)\n",
    "    \n",
    "axs[0].legend()\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that the energy does seem to successfully converge. We also see a good part about Gaussian basis functions: even with the small basis, the values are qualitatively correct. On the other hand, we see a weakness of this approach, where the smaller basis set (STO-3G) performs better than a bigger one (def2-SVP). Care must be taken to determine if a large enough basis was used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## BigDFT Calculations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will now repeat this calculation using the BigDFT code. BigDFT's accuracy is controlled by the grid spacing. A smaller grid spacing leads to more accurate energies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "hgrid = [0.5, 0.4, 0.35, 0.3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BigDFT.Inputfiles import Inputfile\n",
    "inp = Inputfile()\n",
    "inp.set_xc(\"HF\")\n",
    "\n",
    "# Set the pseudopotential functional of Hartree-Fock. We will pick the LDA built in pseudopotential.\n",
    "inp['psppar.C']={'Pseudopotential XC': 1}\n",
    "inp['psppar.O']={'Pseudopotential XC': 1}\n",
    "inp['psppar.H']={'Pseudopotential XC': 1}\n",
    "inp['psppar.S']={'Pseudopotential XC': 1}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we repeat the calculation for each grid spacing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initialize a Calculator with OMP_NUM_THREADS=2 and command mpirun -np 2 /Users/wddawson/Documents/CEA/binaries/bigdft_suite/install/bin/bigdft\n"
     ]
    }
   ],
   "source": [
    "from BigDFT.Calculators import SystemCalculator\n",
    "code = SystemCalculator(verbose=False, skip=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5\n",
      "0.4\n",
      "0.35\n",
      "0.3\n"
     ]
    }
   ],
   "source": [
    "from numpy import array\n",
    "\n",
    "bigdft_energies = {}\n",
    "bigdft_forces = {}\n",
    "for h in hgrid:\n",
    "    print(h)\n",
    "    inp.set_hgrid(h)\n",
    "    bigdft_energies[h] = []\n",
    "    bigdft_forces[h] = []\n",
    "    for i, m in enumerate(systems):\n",
    "        log = code.run(input=inp, posinp=m.get_posinp(), name=geom + \"-\" + str(h) + \"-\" + str(i), run_dir=\"work\")\n",
    "        m.set_atom_forces(log)\n",
    "        bigdft_energies[h].append(log.energy)\n",
    "        \n",
    "        forces = []\n",
    "        for frag in m.values():\n",
    "            for at in frag:\n",
    "                forces.append(at.get_force())\n",
    "        bigdft_forces[h].append(array(forces))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we can plot the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "fig, axs = plt.subplots(2,1,figsize=(8,6))\n",
    "\n",
    "markers = [\"+\", \"x\", \".\", \"o\"]\n",
    "for m, b in zip(markers, hgrid):\n",
    "    axs[0].plot(angles, [(x - bigdft_energies[b][0]) for x in bigdft_energies[b]], label=b, marker=m, linestyle='--')\n",
    "    axs[1].plot(angles, [(norm(x - bigdft_forces[b][0])) for x in bigdft_forces[b]], label=b, marker=m, linestyle='--')\n",
    "    \n",
    "axs[0].set_ylabel(\"Energy Change (AU)\", fontsize=12)\n",
    "axs[1].set_ylabel(\"Forces (AU)\", fontsize=12)\n",
    "axs[1].set_xlabel(\"Angle (degrees)\", fontsize=12)\n",
    "    \n",
    "axs[0].legend()\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see here that energy improves systematically with the choice of hgrid due to the variational formulism applied. We also see that a loose cutoff can lead to disastrous results. In the case of Gaussian basis sets, a small basis might be qualitatively right since it was fitted to similar types of systems. But a numerical basis is more \"all or nothing\"."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also plot the best energy values of the two codes on the same axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(2,1,figsize=(8,6))\n",
    "\n",
    "axs[0].plot(angles, [(x - pyscf_energies[basis[-1]][0]) for x in pyscf_energies[basis[-1]]],\n",
    "                 label=\"pyscf-\" + str(basis[-1]), color='k', marker='*', linestyle='-', markersize=12)\n",
    "axs[0].plot(angles, [(x - pyscf_energies[basis[-2]][0]) for x in pyscf_energies[basis[-2]]],\n",
    "                 label=\"pyscf-\" + str(basis[-2]), color='k', marker='.', linestyle='dotted', markersize=12)\n",
    "axs[0].plot(angles, [(x - bigdft_energies[hgrid[-1]][0]) for x in bigdft_energies[hgrid[-1]]],\n",
    "                 label=\"bigdft-\" + str(hgrid[-1]), color='r', marker='x', linestyle='-', markersize=12)\n",
    "axs[0].plot(angles, [(x - bigdft_energies[hgrid[-2]][0]) for x in bigdft_energies[hgrid[-2]]],\n",
    "                 label=\"bigdft-\" + str(hgrid[-2]), color='r', marker='+', linestyle='dotted', markersize=12)\n",
    "\n",
    "axs[1].plot(angles, [(norm(x - pyscf_forces[basis[-1]][0])) for x in pyscf_forces[basis[-1]]],\n",
    "                 label=\"pyscf-\" + str(basis[-1]), color='k', marker='*', linestyle='-', markersize=12)\n",
    "axs[1].plot(angles, [(norm(x - pyscf_forces[basis[-2]][0])) for x in pyscf_forces[basis[-2]]],\n",
    "                 label=\"pyscf-\" + str(basis[-2]), color='k', marker='.', linestyle='dotted', markersize=12)\n",
    "axs[1].plot(angles, [(norm(x - bigdft_forces[hgrid[-1]][0])) for x in bigdft_forces[hgrid[-1]]],\n",
    "                 label=\"bigdft-\" + str(hgrid[-1]), color='r', marker='x', linestyle='-', markersize=12)\n",
    "axs[1].plot(angles, [(norm(x - bigdft_forces[hgrid[-2]][0])) for x in bigdft_forces[hgrid[-2]]],\n",
    "                 label=\"bigdft-\" + str(hgrid[-2]), color='r', marker='+', linestyle='dotted', markersize=12)\n",
    "    \n",
    "axs[0].set_ylabel(\"Energy Change (AU)\", fontsize=12)\n",
    "axs[1].set_ylabel(\"Forces (AU)\", fontsize=12)\n",
    "axs[1].set_xlabel(\"Angle (degrees)\", fontsize=12)\n",
    "    \n",
    "axs[0].legend()\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We note that even though the two calculations are \"converged\", the pseudopotential approximation remains, which leads to different energy values for these two codes."
   ]
  }
 ],
 "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
}