model_fitting/analysis_md.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.io import read\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scienceplots\n",
    "plt.style.use([\"science\", \"notebook\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "traj = read(\"chignolin_md_scf_25_steps.xyz\", \":\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.0001, -1.9999)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "total_charge = [np.sum(atoms.arrays[\"multipoles\"]) for atoms in traj]\n",
    "plt.plot(total_charge)\n",
    "# plot y = -2\n",
    "# plt.plot([0, len(traj)], [-2, -2], \"--\", color=\"black\")\n",
    "plt.ylim(-2.0001, -1.9999)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/envs/mace-scf/lib/python3.11/site-packages/e3nn/o3/_wigner.py:10: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.\n",
      "  _Jd, _W3j_flat, _W3j_indices = torch.load(os.path.join(os.path.dirname(__file__), 'constants.pt'))\n"
     ]
    }
   ],
   "source": [
    "from ase import units\n",
    "from ase.md.langevin import Langevin\n",
    "from ase.io import read, write\n",
    "import numpy as np\n",
    "import time\n",
    "from macetools.calculators.polarizable import MACEPolarizable\n",
    "\n",
    "\n",
    "init_conf = read(\"./chgnolin_md_snapshot_25_scf_steps.xyz\", \"0\")\n",
    "# init_conf.set_calculator(calculator)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jhm/software/mace-tools/macetools/calculators/polarizable.py:33: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.\n",
      "  self.model = torch.load(f=model_path, map_location=self.device).to(self.device)\n",
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     "text": [
      "\n"
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   ],
   "source": [
    "from tqdm import tqdm\n",
    "n_iters = range(25)\n",
    "\n",
    "\n",
    "timings = []\n",
    "charges = []\n",
    "\n",
    "\n",
    "calculator = MACEPolarizable(\n",
    "    model_path=\"./mace_pol_spice_v1_stage_2_5step_swa.model\",\n",
    "    device=\"cuda\",\n",
    "    num_scf_steps=25,\n",
    "    total_charge_key=\"total_charge\",\n",
    "    constant_charge=True\n",
    ")\n",
    "for conf in tqdm(traj):\n",
    "    conf.set_calculator(calculator)\n",
    "    start = time.time()\n",
    "    end = time.time()\n",
    "    charges.append(np.sum(conf.get_charges()))\n",
    "    timings.append(end - start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Time taken (s)')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(timings)\n",
    "plt.xlabel(\"Number of SCF steps\")\n",
    "plt.ylabel(\"Time taken (s)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fde50776d50>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "target charge:  tensor([-2.], device='cuda:0')\n",
      "Energy: -104081.09275856413 eV\n",
      "Time: 3.3249619007110596 s\n",
      "Charge: -1.9999999689869667\n"
     ]
    }
   ],
   "source": [
    "t1 = time.time()\n",
    "\n",
    "energy = init_conf.get_potential_energy()\n",
    "charge = np.sum(init_conf.get_charges())\n",
    "t2 = time.time()\n",
    "print(f\"Energy: {energy} eV\")\n",
    "print(f\"Time: {t2-t1} s\")\n",
    "print(f\"Charge: {charge}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import MDAnalysis\n",
    "from MDAnalysis.tests.datafiles import PSF, DCD   # test trajectory\n",
    "import numpy.linalg\n",
    "\n",
    "u = MDAnalysis.Universe(PSF,DCD)  # always start with a Universe\n",
    "# can access via segid (4AKE) and atom name\n",
    "# we take the first atom named N and the last atom named C\n",
    "nterm = u.select_atoms('segid 4AKE and name N')[0]\n",
    "cterm = u.select_atoms('segid 4AKE and name C')[-1]\n",
    "\n",
    "bb = u.select_atoms('protein and backbone')  # a selection (AtomGroup)\n",
    "\n",
    "for ts in u.trajectory:     # iterate through all frames\n",
    "    r = cterm.position - nterm.position # end-to-end vector from atom positions\n",
    "    d = numpy.linalg.norm(r)  # end-to-end distance\n",
    "    rgyr = bb.radius_of_gyration()  # method of AtomGroup\n",
    "    print(\"frame = {0}: d = {1} A, Rgyr = {2} A\".format(\n",
    "          ts.frame, d, rgyr))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "mace-openmm",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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