class DP_fparam(Calculator): """ modify from DP class of deepmd the vanilla one does not support fparam """ name = "DP" implemented_properties = ["energy", "forces", "stress"] def __init__(self, model, label="DP", fparam=0, **kwargs): Calculator.__init__(self, label=label, **kwargs) self.dp = DeepPot(model) self.type_dict = dict( zip(self.dp.get_type_map(), range(self.dp.get_ntypes()))) self.fparam = [fparam] def calculate(self, atoms=None, properties=["energy", "forces", "stress"], system_changes=all_changes): coord = atoms.get_positions().reshape([1, -1]) cell = atoms.get_cell().reshape([1, -1]) symbols = atoms.get_chemical_symbols() atype = [self.type_dict[k] for k in symbols] e, f, v = self.dp.eval(coord, cell, atype, fparam=self.fparam) self.results['energy'] = e[0] self.results['forces'] = f[0] self.results['stress'] = v[0]
class DP(Calculator): name = "DP" implemented_properties = ["energy", "forces", "stress"] def __init__(self, model, label="DP", type_dict=None, **kwargs): Calculator.__init__(self, label=label, **kwargs) self.dp = DeepPot(model) if type_dict: self.type_dict = type_dict else: self.type_dict = dict( zip(self.dp.get_type_map(), range(self.dp.get_ntypes()))) def calculate(self, atoms=None, properties=["energy", "forces", "stress"], system_changes=all_changes): coord = atoms.get_positions().reshape([1, -1]) cell = atoms.get_cell().reshape([1, -1]) symbols = atoms.get_chemical_symbols() atype = [self.type_dict[k] for k in symbols] e, f, v = self.dp.eval(coord, cell, atype) self.results['energy'] = e[0] self.results['forces'] = f[0] self.results['stress'] = v[0]
def __init__(self, model, label="DP", type_dict=None, **kwargs): Calculator.__init__(self, label=label, **kwargs) self.dp = DeepPot(model) if type_dict: self.type_dict=type_dict else: self.type_dict = dict(zip(self.dp.get_type_map(), range(self.dp.get_ntypes())))
def test_ener (args) : if args.rand_seed is not None : np.random.seed(args.rand_seed % (2**32)) data = DataSets (args.system, args.set_prefix, shuffle_test = args.shuffle_test) test_data = data.get_test () numb_test = args.numb_test natoms = len(test_data["type"][0]) nframes = test_data["box"].shape[0] numb_test = min(nframes, numb_test) dp = DeepPot(args.model) coord = test_data["coord"][:numb_test].reshape([numb_test, -1]) box = test_data["box"][:numb_test] atype = test_data["type"][0] if dp.get_dim_fparam() > 0: fparam = test_data["fparam"][:numb_test] else : fparam = None if dp.get_dim_aparam() > 0: aparam = test_data["aparam"][:numb_test] else : aparam = None energy, force, virial, ae, av = dp.eval(coord, box, atype, fparam = fparam, aparam = aparam, atomic = True) energy = energy.reshape([numb_test,1]) force = force.reshape([numb_test,-1]) virial = virial.reshape([numb_test,9]) ae = ae.reshape([numb_test,-1]) av = av.reshape([numb_test,-1]) l2e = (l2err (energy - test_data["energy"][:numb_test].reshape([-1,1]))) l2f = (l2err (force - test_data["force"] [:numb_test])) l2v = (l2err (virial - test_data["virial"][:numb_test])) l2ea= l2e/natoms l2va= l2v/natoms # print ("# energies: %s" % energy) print ("# number of test data : %d " % numb_test) print ("Energy L2err : %e eV" % l2e) print ("Energy L2err/Natoms : %e eV" % l2ea) print ("Force L2err : %e eV/A" % l2f) print ("Virial L2err : %e eV" % l2v) print ("Virial L2err/Natoms : %e eV" % l2va) detail_file = args.detail_file if detail_file is not None : pe = np.concatenate((np.reshape(test_data["energy"][:numb_test], [-1,1]), np.reshape(energy, [-1,1])), axis = 1) np.savetxt(detail_file+".e.out", pe, header = 'data_e pred_e') pf = np.concatenate((np.reshape(test_data["force"] [:numb_test], [-1,3]), np.reshape(force, [-1,3])), axis = 1) np.savetxt(detail_file+".f.out", pf, header = 'data_fx data_fy data_fz pred_fx pred_fy pred_fz') pv = np.concatenate((np.reshape(test_data["virial"][:numb_test], [-1,9]), np.reshape(virial, [-1,9])), axis = 1) np.savetxt(detail_file+".v.out", pv, header = 'data_vxx data_vxy data_vxz data_vyx data_vyy data_vyz data_vzx data_vzy data_vzz pred_vxx pred_vxy pred_vxz pred_vyx pred_vyy pred_vyz pred_vzx pred_vzy pred_vzz')
def predict(self, dp): """ Predict energies and forces by deepmd-kit. Parameters ---------- dp : deepmd.DeepPot or str The deepmd-kit potential class or the filename of the model. Returns ------- labeled_sys : LabeledSystem The labeled system. """ try: # DP 1.x import deepmd.DeepPot as DeepPot except ModuleNotFoundError: # DP 2.x from deepmd.infer import DeepPot if not isinstance(dp, DeepPot): dp = DeepPot(dp) type_map = dp.get_type_map() ori_sys = self.copy() ori_sys.sort_atom_names(type_map=type_map) atype = ori_sys['atom_types'] labeled_sys = LabeledSystem() if 'auto_batch_size' not in DeepPot.__init__.__code__.co_varnames: for ss in self: coord = ss['coords'].reshape((1, ss.get_natoms()*3)) if not ss.nopbc: cell = ss['cells'].reshape((1, 9)) else: cell = None e, f, v = dp.eval(coord, cell, atype) data = ss.data data['energies'] = e.reshape((1, 1)) data['forces'] = f.reshape((1, ss.get_natoms(), 3)) data['virials'] = v.reshape((1, 3, 3)) this_sys = LabeledSystem.from_dict({'data': data}) labeled_sys.append(this_sys) else: # since v2.0.2, auto batch size is supported coord = self.data['coords'].reshape((self.get_nframes(), self.get_natoms()*3)) if not self.nopbc: cell = self.data['cells'].reshape((self.get_nframes(), 9)) else: cell = None e, f, v = dp.eval(coord, cell, atype) data = self.data.copy() data['energies'] = e.reshape((self.get_nframes(), 1)) data['forces'] = f.reshape((self.get_nframes(), self.get_natoms(), 3)) data['virials'] = v.reshape((self.get_nframes(), 3, 3)) labeled_sys = LabeledSystem.from_dict({'data': data}) return labeled_sys
def test(args): de = DeepEval(args.model) all_sys = expand_sys_str(args.system) if len(all_sys) == 0: print('Did not find valid system') err_coll = [] siz_coll = [] if de.model_type == 'ener': dp = DeepPot(args.model) elif de.model_type == 'dipole': dp = DeepDipole(args.model) elif de.model_type == 'polar': dp = DeepPolar(args.model) elif de.model_type == 'global_polar': dp = DeepGlobalPolar(args.model) elif de.model_type == 'wfc': dp = DeepWFC(args.model) else: raise RuntimeError('unknow model type ' + de.model_type) for cc, ii in enumerate(all_sys): args.system = ii print("# ---------------output of dp test--------------- ") print("# testing system : " + ii) if de.model_type == 'ener': err, siz = test_ener(dp, args, append_detail=(cc != 0)) elif de.model_type == 'dipole': err, siz = test_dipole(dp, args) elif de.model_type == 'polar': err, siz = test_polar(dp, args, global_polar=False) elif de.model_type == 'global_polar': err, siz = test_polar(dp, args, global_polar=True) elif de.model_type == 'wfc': err, siz = test_wfc(dp, args) else: raise RuntimeError('unknow model type ' + de.model_type) print("# ----------------------------------------------- ") err_coll.append(err) siz_coll.append(siz) avg_err = weighted_average(err_coll, siz_coll) if len(all_sys) != len(err_coll): print('Not all systems are tested! Check if the systems are valid') if len(all_sys) > 1: print("# ----------weighted average of errors----------- ") print("# number of systems : %d" % len(all_sys)) if de.model_type == 'ener': print_ener_sys_avg(avg_err) elif de.model_type == 'dipole': print_dipole_sys_avg(avg_err) elif de.model_type == 'polar': print_polar_sys_avg(avg_err) elif de.model_type == 'global_polar': print_polar_sys_avg(avg_err) elif de.model_type == 'wfc': print_wfc_sys_avg(avg_err) else: raise RuntimeError('unknow model type ' + de.model_type) print("# ----------------------------------------------- ")
class DP(Calculator): name = "DP" implemented_properties = ["energy", "forces", "virial", "stress"] def __init__(self, model, label="DP", type_dict=None, **kwargs): Calculator.__init__(self, label=label, **kwargs) self.dp = DeepPot(model) if type_dict: self.type_dict = type_dict else: self.type_dict = dict( zip(self.dp.get_type_map(), range(self.dp.get_ntypes()))) def calculate(self, atoms=None, properties=["energy", "forces", "virial"], system_changes=all_changes): coord = atoms.get_positions().reshape([1, -1]) if sum(atoms.get_pbc()) > 0: cell = atoms.get_cell().reshape([1, -1]) else: cell = None symbols = atoms.get_chemical_symbols() atype = [self.type_dict[k] for k in symbols] e, f, v = self.dp.eval(coords=coord, cells=cell, atom_types=atype) self.results['energy'] = e[0][0] self.results['forces'] = f[0] self.results['virial'] = v[0].reshape(3, 3) # convert virial into stress for lattice relaxation if "stress" in properties: if sum(atoms.get_pbc()) > 0: # the usual convention (tensile stress is positive) # stress = -virial / volume stress = -0.5 * (v[0].copy() + v[0].copy().T) / atoms.get_volume() # Voigt notation self.results['stress'] = stress.flat[[0, 4, 8, 5, 2, 1]] else: raise PropertyNotImplementedError
def predict(self, dp): try: # DP 1.x import deepmd.DeepPot as DeepPot except ModuleNotFoundError: # DP 2.x from deepmd.infer import DeepPot if not isinstance(dp, DeepPot): dp = DeepPot(dp) new_multisystems = dpdata.MultiSystems() for ss in self: new_multisystems.append(ss.predict(dp)) return new_multisystems
def __init__(self, model, label="DP", fparam=0, **kwargs): Calculator.__init__(self, label=label, **kwargs) self.dp = DeepPot(model) self.type_dict = dict( zip(self.dp.get_type_map(), range(self.dp.get_ntypes()))) self.fparam = [fparam]
def __init__(self, model_file=None, coord_file=None, energy_file=None, force_file=None, grad_file=None, box_file=None, atom_types=None, length_unit="A", energy_unit="Eh", force_unit="Eh/Bohr", is_pbc=False, verbose=True): self.is_pbc = is_pbc self.verbose = verbose if isinstance(atom_types, str): self._atm_type = numpy.loadtxt(atom_types, dtype=int) else: self._atm_type = numpy.asarray(atom_types, dtype=int) self.model_file = model_file model_type = DeepEval(model_file).model_type assert model_type == 'ener' self.dp = DeepPot(model_file) length_unit, length_unit_converter = get_length_unit_converter( length_unit) energy_unit, energy_unit_converter = get_energy_unit_converter( energy_unit) force_unit, force_unit_converter = get_force_unit_converter(force_unit) self._coord_data = numpy.load(coord_file) * length_unit_converter self._energy_data = numpy.load(energy_file) * energy_unit_converter if force_file is not None and grad_file is None: self._force_data = numpy.load(force_file) * force_unit_converter elif force_file is None and grad_file is not None: self._force_data = -numpy.load(grad_file) * force_unit_converter self.nframe = self._coord_data.shape[0] self.natom = self._coord_data.shape[1] self._atm_type.reshape(self.natom) if not is_pbc and (box_file is None): self._box_data = numpy.zeros([self.nframe, 9]) else: self._box_data = numpy.load(box_file) * length_unit_converter assert self._box_data.shape == (self.nframe, 9) assert self._coord_data.shape == (self.nframe, self.natom, 3) assert self._force_data.shape == (self.nframe, self.natom, 3) assert self._energy_data.shape == (self.nframe, ) assert self._atm_type.shape == (self.natom, ) self.dump_info(model_file=model_file, atom_types=atom_types, is_pbc=is_pbc, coord_file=coord_file, energy_file=energy_file, force_file=force_file, grad_file=grad_file, box_file=box_file, length_unit=length_unit, energy_unit=energy_unit, force_unit=force_unit)
class TestSet(object): def __init__(self, model_file=None, coord_file=None, energy_file=None, force_file=None, grad_file=None, box_file=None, atom_types=None, length_unit="A", energy_unit="Eh", force_unit="Eh/Bohr", is_pbc=False, verbose=True): self.is_pbc = is_pbc self.verbose = verbose if isinstance(atom_types, str): self._atm_type = numpy.loadtxt(atom_types, dtype=int) else: self._atm_type = numpy.asarray(atom_types, dtype=int) self.model_file = model_file model_type = DeepEval(model_file).model_type assert model_type == 'ener' self.dp = DeepPot(model_file) length_unit, length_unit_converter = get_length_unit_converter( length_unit) energy_unit, energy_unit_converter = get_energy_unit_converter( energy_unit) force_unit, force_unit_converter = get_force_unit_converter(force_unit) self._coord_data = numpy.load(coord_file) * length_unit_converter self._energy_data = numpy.load(energy_file) * energy_unit_converter if force_file is not None and grad_file is None: self._force_data = numpy.load(force_file) * force_unit_converter elif force_file is None and grad_file is not None: self._force_data = -numpy.load(grad_file) * force_unit_converter self.nframe = self._coord_data.shape[0] self.natom = self._coord_data.shape[1] self._atm_type.reshape(self.natom) if not is_pbc and (box_file is None): self._box_data = numpy.zeros([self.nframe, 9]) else: self._box_data = numpy.load(box_file) * length_unit_converter assert self._box_data.shape == (self.nframe, 9) assert self._coord_data.shape == (self.nframe, self.natom, 3) assert self._force_data.shape == (self.nframe, self.natom, 3) assert self._energy_data.shape == (self.nframe, ) assert self._atm_type.shape == (self.natom, ) self.dump_info(model_file=model_file, atom_types=atom_types, is_pbc=is_pbc, coord_file=coord_file, energy_file=energy_file, force_file=force_file, grad_file=grad_file, box_file=box_file, length_unit=length_unit, energy_unit=energy_unit, force_unit=force_unit) def dump_info(self, **kwargs): if not self.verbose: return dump_info(kwargs) def build(self, detail_file=None): numb_test = self.nframe energy_data = self._energy_data[:numb_test].reshape([-1, 1]) force_data = self._force_data[:numb_test].reshape([numb_test, -1]) coord = self._coord_data.reshape([numb_test, -1]) box = self._box_data.reshape([numb_test, -1]) if not self.is_pbc: box = None fparam = None aparam = None atype = self._atm_type atomic = False ret = self.dp.eval(coord, box, atype, fparam=fparam, aparam=aparam, atomic=atomic) energy = ret[0] force = ret[1] virial = ret[2] energy = energy.reshape([numb_test, 1]) force = force.reshape([numb_test, -1]) virial = virial.reshape([numb_test, 9]) if atomic: ae = ret[3] av = ret[4] ae = ae.reshape([numb_test, -1]) av = av.reshape([numb_test, -1]) l2e = (l2err(energy - energy_data)) l2f = (l2err(force - force_data)) l2ea = l2e / self.natom print("# number of test data : %d " % numb_test) print("Energy L2err : %e eV" % l2e) print("Energy L2err/Natoms : %e eV" % l2ea) print("Force L2err : %e eV/A" % l2f) if detail_file is not None: save_txt_file(detail_file + ".c.out", coord, header='data_c', append=False) pe = numpy.concatenate( (numpy.reshape(energy_data, [numb_test, -1]), numpy.reshape(energy, [numb_test, -1])), axis=1) save_txt_file(detail_file + ".e.out", pe, header='data_e pred_e', append=False) pf = numpy.concatenate((numpy.reshape(force_data, [numb_test, -1]), numpy.reshape(force, [numb_test, -1])), axis=1) save_txt_file(detail_file + ".f.out", pf, header='data_f pred_f', append=False)
for ii in range(nitems): ee = sys_error[ii] ss = sys_size [ii] sum_err[ii] += ee * ee * ss sum_siz[ii] += ss for ii in range(nitems): sum_err[ii] = np.sqrt(sum_err[ii] / sum_siz[ii]) return sum_err def test_ener (dp, args) : if args.rand_seed is not None : np.random.seed(args.rand_seed % (2**32)) <<<<<<< HEAD dp = DeepPot(args.model) ======= >>>>>>> 93aa90768089e265465f93fb3d9f99b494d56b09 data = DeepmdData(args.system, args.set_prefix, shuffle_test = args.shuffle_test, type_map = dp.get_type_map()) data.add('energy', 1, atomic=False, must=False, high_prec=True) data.add('force', 3, atomic=True, must=False, high_prec=False) data.add('virial', 9, atomic=False, must=False, high_prec=False) if dp.get_dim_fparam() > 0: data.add('fparam', dp.get_dim_fparam(), atomic=False, must=True, high_prec=False) if dp.get_dim_aparam() > 0: data.add('aparam', dp.get_dim_aparam(), atomic=True, must=True, high_prec=False) test_data = data.get_test () natoms = len(test_data["type"][0]) nframes = test_data["box"].shape[0] numb_test = args.numb_test
'data_vxx data_vxy data_vxz data_vyx data_vyy data_vyz data_vzx data_vzy data_vzz pred_vxx pred_vxy pred_vxz pred_vyx pred_vyy pred_vyz pred_vzx pred_vzy pred_vzz' ) return numb_test, l2e, l2ea, l2f, l2v, l2va if __name__ == "__main__": import os if os.path.isdir('ret'): pass else: os.mkdir('ret') model = "frozen_model.pb" print( "#Index Ntest E_L2err E_L2err/Natoms F_L2err V_L2err V_L2err/Natoms" ) dp = DeepPot(model) fs = glob("/home/dgx/haidi/work/Li/iter.00*/02.fp/data.*") fs.sort() fs_ret = dict(zip(range(len(fs)), fs)) dumpfn(fs_ret, 'fs.json', indent=4) for i, system in enumerate(fs): try: numb_test, l2e, l2ea, l2f, l2v, l2va = test_ener( dp, system, set_prefix='set', numb_test=100000, shuffle_test=False, rand_seed=None, detail_file=os.path.join('ret', str(i))) print("{:d}\t{:d}\t{:.5f}\t{:.5f}\t{:.5f}\t{:.5f}\t{:.5f}".format(
def test_ener(args): """ modify based on args file """ if args['rand_seed'] is not None: np.random.seed(args['rand_seed'] % (2**32)) data = DataSets(args['system'], args['set_prefix'], shuffle_test=args['shuffle_test']) test_data = data.get_test() numb_test = args['numb_test'] natoms = len(test_data["type"][0]) nframes = test_data["box"].shape[0] numb_test = min(nframes, numb_test) dp = DeepPot(args['model']) coord = test_data["coord"][:numb_test].reshape([numb_test, -1]) box = test_data["box"][:numb_test] atype = test_data["type"][0] if dp.get_dim_fparam() > 0: fparam = test_data["fparam"][:numb_test] else: fparam = None if dp.get_dim_aparam() > 0: aparam = test_data["aparam"][:numb_test] else: aparam = None detail_file = args['detail_file'] if detail_file is not None: atomic = True else: atomic = False ret = dp.eval(coord, box, atype, fparam=fparam, aparam=aparam, atomic=atomic) energy = ret[0] force = ret[1] virial = ret[2] energy = energy.reshape([numb_test, 1]) force = force.reshape([numb_test, -1]) virial = virial.reshape([numb_test, 9]) if atomic: ae = ret[3] av = ret[4] ae = ae.reshape([numb_test, -1]) av = av.reshape([numb_test, -1]) l2e = (l2err(energy - test_data["energy"][:numb_test].reshape([-1, 1]))) l2f = (l2err(force - test_data["force"][:numb_test])) l2v = (l2err(virial - test_data["virial"][:numb_test])) l2ea = l2e / natoms l2va = l2v / natoms # print ("# energies: %s" % energy) print("# number of test data : %d " % numb_test) print("Energy L2err : %e eV" % l2e) print("Energy L2err/Natoms : %e eV" % l2ea) print("Force L2err : %e eV/A" % l2f) print("Virial L2err : %e eV" % l2v) print("Virial L2err/Natoms : %e eV" % l2va) if detail_file is not None: pe = np.concatenate((np.reshape(test_data["energy"][:numb_test], [-1, 1]), np.reshape(energy, [-1, 1])), axis=1) np.savetxt(os.path.join(args['system'], detail_file + ".e.out"), pe, header='data_e pred_e') pf = np.concatenate((np.reshape(test_data["force"][:numb_test], [-1, 3]), np.reshape(force, [-1, 3])), axis=1) np.savetxt(os.path.join(args['system'], detail_file + ".f.out"), pf, header='data_fx data_fy data_fz pred_fx pred_fy pred_fz') pv = np.concatenate((np.reshape(test_data["virial"][:numb_test], [-1, 9]), np.reshape(virial, [-1, 9])), axis=1) np.savetxt( os.path.join(args['system'], detail_file + ".v.out"), pv, header= 'data_vxx data_vxy data_vxz data_vyx data_vyy data_vyz data_vzx data_vzy data_vzz pred_vxx pred_vxy pred_vxz pred_vyx pred_vyy pred_vyz pred_vzx pred_vzy pred_vzz' ) return numb_test, fparam[0][0], natoms, l2e, l2ea, l2f, l2v
def train_ener(inputs): """ deepmd-kit has function test_ener which deal with test_data only `train_ener` are for train data only """ if inputs['rand_seed'] is not None: np.random.seed(inputs['rand_seed'] % (2**32)) data = DataSets(inputs['system'], inputs['set_prefix'], shuffle_test=inputs['shuffle_test']) train_data = get_train_data(data) numb_test = data.get_sys_numb_batch( 1) ## use 1 batch, # of batches are the numb of train natoms = len(train_data["type"][0]) nframes = train_data["box"].shape[0] #print("xxxxx",nframes, numb_test) numb_test = nframes #, to be investigated, original dp use min, but here should be nframes directly, I think, Jan 18, 21, min(nfames, numb_test) dp = DeepPot(inputs['model']) coord = train_data["coord"].reshape([numb_test, -1]) box = train_data["box"] atype = train_data["type"][0] if dp.get_dim_fparam() > 0: fparam = train_data["fparam"] else: fparam = None if dp.get_dim_aparam() > 0: aparam = train_data["aparam"] else: aparam = None detail_file = inputs['detail_file'] if detail_file is not None: atomic = True else: atomic = False ret = dp.eval(coord, box, atype, fparam=fparam, aparam=aparam, atomic=atomic) energy = ret[0] force = ret[1] virial = ret[2] energy = energy.reshape([numb_test, 1]) force = force.reshape([numb_test, -1]) virial = virial.reshape([numb_test, 9]) if atomic: ae = ret[3] av = ret[4] ae = ae.reshape([numb_test, -1]) av = av.reshape([numb_test, -1]) l2e = (l2err(energy - train_data["energy"].reshape([-1, 1]))) l2f = (l2err(force - train_data["force"])) l2v = (l2err(virial - train_data["virial"])) l2ea = l2e / natoms l2va = l2v / natoms # print ("# energies: %s" % energy) print("# number of train data : %d " % numb_test) print("Energy L2err : %e eV" % l2e) print("Energy L2err/Natoms : %e eV" % l2ea) print("Force L2err : %e eV/A" % l2f) print("Virial L2err : %e eV" % l2v) print("Virial L2err/Natoms : %e eV" % l2va) if detail_file is not None: pe = np.concatenate((np.reshape(train_data["energy"], [-1, 1]), np.reshape(energy, [-1, 1])), axis=1) np.savetxt(os.path.join(inputs['system'], detail_file + ".e.tr.out"), pe, header='data_e pred_e') pf = np.concatenate((np.reshape(train_data["force"], [-1, 3]), np.reshape(force, [-1, 3])), axis=1) np.savetxt(os.path.join(inputs['system'], detail_file + ".f.tr.out"), pf, header='data_fx data_fy data_fz pred_fx pred_fy pred_fz') pv = np.concatenate((np.reshape(train_data["virial"], [-1, 9]), np.reshape(virial, [-1, 9])), axis=1) np.savetxt( os.path.join(inputs['system'], detail_file + ".v.tr.out"), pv, header= 'data_vxx data_vxy data_vxz data_vyx data_vyy data_vyz data_vzx data_vzy data_vzz pred_vxx pred_vxy pred_vxz pred_vyx pred_vyy pred_vyz pred_vzx pred_vzy pred_vzz' ) return numb_test, fparam[0][0], natoms, l2e, l2ea, l2f, l2v