{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Chirality Check\n",
    "\n",
    "In chemistry, a molecule is chiral if it cannot be superimposed onto its mirror image by any combination of translation and rotation. These non-superposable mirror images are called enantiomers which share identical chemical and physical properties, but have distinct chemical reactivity and optical rotation properties. Checking whether two structures are enantiomers can be formulated as a Procrustes problem.\n",
    "\n",
    "> **Rotational Procrustes**\n",
    ">\n",
    "> Given matrix $\\mathbf{A}_{m \\times n}$ and a reference $\\mathbf{B}_{m \\times n}$, find the rotational transformation matrix $\\mathbf{R}_{n \\times n}$ that makes $\\mathbf{A}$ as close as possible to $\\mathbf{B}$, i.e.,\n",
    ">\n",
    "\\begin{equation}\n",
    "       \\underbrace{\\min}_{\\left\\{\\mathbf{R} \\left| {\\mathbf{R}^{-1} = {\\mathbf{R}}^\\dagger\n",
    "                                \\atop \\left| \\mathbf{R} \\right| = 1} \\right. \\right\\}}\n",
    "          \\|\\mathbf{A}\\mathbf{R} - \\mathbf{B}\\|_{F}^2\n",
    "\\end{equation}\n",
    "\n",
    "> **Orthogonal Procrustes**\n",
    ">\n",
    "> Given matrix $\\mathbf{A}_{m \\times n}$ and a reference $\\mathbf{B}_{m \\times n}$, find the find the orthogonal transformation matrix $\\mathbf{Q}_{n \\times n}$ that makes $\\mathbf{A}$ as close as possible to $\\mathbf{B}$, i.e.,\n",
    ">\n",
    "\\begin{equation}\n",
    "       \\underbrace{\\min}_{\\left\\{\\mathbf{Q} | \\mathbf{Q}^{-1} = {\\mathbf{Q}}^\\dagger \\right\\}}\n",
    "                          \\|\\mathbf{A}\\mathbf{Q} - \\mathbf{B}\\|_{F}^2\n",
    "\\end{equation}\n",
    "\n",
    "\n",
    "In the code block below, we use the `procrustes` library to check whether two geometries of the CHFClBr molecule are enantiomers; see **Fig. (i)**. The 3D-Cartesian coordinates of molecules are loaded from their XYZ files using [IOData library](https://github.com/theochem/iodata). Testing whether the coordinates can be matched through translation and rotation (i.e., rotational Procrustes) reveals that these two structures are not identical; see **Fig (ii)**. However, the two coordinates are enantiomers because they can be matched through translation, rotation, and reflection (i.e., orthogonal Procrustes) as shown in **Fig (iii)**.\n",
    "\n",
    "![Fig. 1 Enantiomers prediction of CHFClBr with rotational-orthogonal Procrustes by comparing the atoms coordinates.](notebook_data/chirality_checking/chirality_checking.png \"Fig. 1 Enantiomers prediction of CHFClBr with rotational-orthogonal Procrustes by comparing the atoms coordinates.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rotational Procrustes Error =  26.08554575402178\n",
      "Orthogonal Procrustes Error =  4.432878638510348e-08\n"
     ]
    }
   ],
   "source": [
    "# chirality check with rotational and orthogonal Procrustes\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from iodata import load_one\n",
    "from procrustes import orthogonal, rotational\n",
    "\n",
    "# load CHClFBr enantiomers' coordinates from XYZ files\n",
    "a = load_one(\"notebook_data/chirality_checking/enantiomer1.xyz\").atcoords\n",
    "b = load_one(\"notebook_data/chirality_checking/enantiomer2.xyz\").atcoords\n",
    "\n",
    "# rotational Procrustes on a & b coordinates\n",
    "result_rot = rotational(a, b, translate=True, scale=False)\n",
    "print(\"Rotational Procrustes Error = \", result_rot.error)     # output: 26.085545\n",
    "\n",
    "# orthogonal Procrustes on a & b coordinates\n",
    "result_ortho = orthogonal(a, b, translate=True, scale=False)\n",
    "print(\"Orthogonal Procrustes Error = \", result_ortho.error)   # output: 4.432878e-08"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot Procrustes Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot outputs of Procrustes\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(12, 10))\n",
    "\n",
    "# =============\n",
    "# First subplot\n",
    "# =============\n",
    "# set up the axes for the first plot\n",
    "ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
    "\n",
    "# coordinates of rotated molecule A and molecule B\n",
    "a_rot = np.dot(result_rot.new_a, result_rot.t)\n",
    "coords1, coords2 = a_rot, result_rot.new_b\n",
    "title = \"Rotational Procrustes Error={:0.2f} $\\AA$\".format(result_rot.error)\n",
    "\n",
    "ax.scatter(xs=coords1[:, 0], ys=coords1[:, 1], zs=coords1[:, 2],\n",
    "           marker=\"o\", color=\"blue\", s=55, label=\"enantiomer1 with rotation\")\n",
    "ax.scatter(xs=coords2[:, 0], ys=coords2[:, 1], zs=coords2[:, 2],\n",
    "           marker=\"o\", color=\"red\", s=55, label=\"enantiomer2\")\n",
    "\n",
    "ax.set_xlabel(\"X\", fontsize=14)\n",
    "ax.set_ylabel(\"Y\", fontsize=14)\n",
    "ax.set_zlabel(\"Z\", fontsize=14)\n",
    "ax.legend(fontsize=12, loc=\"best\")\n",
    "plt.title(title, fontsize=14)\n",
    "\n",
    "\n",
    "# ==============\n",
    "# Second subplot\n",
    "# ==============\n",
    "# set up the axes for the second plot\n",
    "ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "\n",
    "# coordinates of rotated-and-refelcted molecule A and molecule B\n",
    "a_rot = np.dot(result_ortho.new_a, result_ortho.t)\n",
    "coords1, coords2 = a_rot, result_rot.new_b\n",
    "title=\"Orthogonal Procrustes Error={:0.2f} $\\AA$\".format(result_ortho.error)\n",
    "\n",
    "ax.scatter(xs=coords1[:, 0], ys=coords1[:, 1], zs=coords1[:, 2],\n",
    "           marker=\"o\", color=\"blue\", s=55, label=\"enantiomer1 with rotation and reflection\")\n",
    "ax.scatter(xs=coords2[:, 0], ys=coords2[:, 1], zs=coords2[:, 2],\n",
    "           marker=\"o\", color=\"red\", s=55, label=\"enantiomer2\")\n",
    "\n",
    "ax.set_xlabel(\"X\", fontsize=14)\n",
    "ax.set_ylabel(\"Y\", fontsize=14)\n",
    "ax.set_zlabel(\"Z\", fontsize=14)\n",
    "ax.legend(fontsize=12, loc=\"best\")\n",
    "plt.title(title, fontsize=14)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
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  "kernelspec": {
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