# coding: utf-8
# Copyright (c) Max-Planck-Institut für Eisenforschung GmbH - Computational Materials Design (CM) Department
# Distributed under the terms of "New BSD License", see the LICENSE file.
from __future__ import division, print_function
from ase.atoms import Atoms as ASEAtoms, Atom as ASEAtom
import ast
from copy import copy
from collections import OrderedDict
import numpy as np
from six import string_types
import warnings
import seekpath
from pyiron.atomistics.structure.atom import Atom, ase_to_pyiron as ase_to_pyiron_atom
from pyiron.atomistics.structure.neighbors import Neighbors, Tree
from pyiron.atomistics.structure._visualize import Visualize
from pyiron.atomistics.structure.analyse import Analyse
from pyiron.atomistics.structure.sparse_list import SparseArray, SparseList
from pyiron.atomistics.structure.periodic_table import (
PeriodicTable,
ChemicalElement
)
from pyiron_base import Settings, deprecate, deprecate_soon
from scipy.spatial import cKDTree, Voronoi
import spglib
__author__ = "Joerg Neugebauer, Sudarsan Surendralal"
__copyright__ = (
"Copyright 2020, Max-Planck-Institut für Eisenforschung GmbH - "
"Computational Materials Design (CM) Department"
)
__version__ = "1.0"
__maintainer__ = "Sudarsan Surendralal"
__email__ = "surendralal@mpie.de"
__status__ = "production"
__date__ = "Sep 1, 2017"
s = Settings()
[docs]class Atoms(ASEAtoms):
"""
The Atoms class represents all the information required to describe a structure at the atomic scale. This class is
derived from the `ASE atoms class`_.
Args:
elements (list/numpy.ndarray): List of strings containing the elements or a list of
atomistics.structure.periodic_table.ChemicalElement instances
numbers (list/numpy.ndarray): List of atomic numbers of elements
symbols (list/numpy.ndarray): List of chemical symbols
positions (list/numpy.ndarray): List of positions
scaled_positions (list/numpy.ndarray): List of scaled positions (relative coordinates)
pbc (list/numpy.ndarray/boolean): Tells if periodic boundary conditions should be applied on the three axes
cell (list/numpy.ndarray instance): A 3x3 array representing the lattice vectors of the structure
Note: Only one of elements/symbols or numbers should be assigned during initialization
Attributes:
indices (numpy.ndarray): A list of size N which gives the species index of the structure which has N atoms
.. _ASE atoms class: https://wiki.fysik.dtu.dk/ase/ase/atoms.html
"""
def __init__(
self,
symbols=None,
positions=None,
numbers=None,
tags=None,
momenta=None,
masses=None,
magmoms=None,
charges=None,
scaled_positions=None,
cell=None,
pbc=None,
celldisp=None,
constraint=None,
calculator=None,
info=None,
indices=None,
elements=None,
dimension=None,
species=None,
**qwargs
):
if symbols is not None:
if elements is None:
elements = symbols
else:
raise ValueError("Only elements OR symbols should be given.")
if (
tags is not None
or momenta is not None
or masses is not None
or charges is not None
or celldisp is not None
or constraint is not None
or calculator is not None
or info is not None
):
s.logger.debug("Not supported parameter used!")
self._store_elements = dict()
self._species_to_index_dict = None
self._is_scaled = False
self._species = list()
self.indices = np.array([])
self.constraints = None
self._pse = PeriodicTable()
self._tag_list = SparseArray()
el_index_lst = list()
element_list = None
if numbers is not None: # for ASE compatibility
if not (elements is None):
raise AssertionError()
elements = self.numbers_to_elements(numbers)
if elements is not None:
el_object_list = None
if isinstance(elements, str):
element_list = self.convert_formula(elements)
elif isinstance(elements, (list, tuple, np.ndarray)):
if not all([isinstance(el, elements[0].__class__) for el in elements]):
object_list = list()
for el in elements:
if isinstance(el, (str, np.str, np.str_)):
object_list.append(self.convert_element(el))
if isinstance(el, ChemicalElement):
object_list.append(el)
if isinstance(el, Atom):
object_list.append(el.element)
if isinstance(el, (int, np.integer)):
# pse = PeriodicTable()
object_list.append(self._pse.element(el))
el_object_list = object_list
if len(elements) == 0:
element_list = elements
else:
if isinstance(elements[0], (list, tuple, np.ndarray)):
elements = np.array(elements).flatten()
if isinstance(elements[0], string_types):
element_list = elements
elif isinstance(elements[0], ChemicalElement):
el_object_list = elements
elif isinstance(elements[0], Atom):
el_object_list = [el.element for el in elements]
positions = [el.position for el in elements]
elif elements.dtype in [int, np.integer]:
el_object_list = self.numbers_to_elements(elements)
else:
raise ValueError(
"Unknown static type for element in list: "
+ str(type(elements[0]))
)
if el_object_list is None:
el_object_list = [self.convert_element(el) for el in element_list]
self.set_species(list(set(el_object_list)))
# species_to_index_dict = {el: i for i, el in enumerate(self.species)}
el_index_lst = [self._species_to_index_dict[el] for el in el_object_list]
elif indices is not None:
el_index_lst = indices
self.set_species(species)
self.indices = np.array(el_index_lst, dtype=int)
el_lst = [el.Abbreviation if el.Parent is None else el.Parent for el in self.species]
symbols = np.array([el_lst[el] for el in self.indices])
self._tag_list._length = len(symbols)
super(Atoms, self).__init__(symbols=symbols, positions=positions, numbers=None,
tags=tags, momenta=momenta, masses=masses,
magmoms=magmoms, charges=charges,
scaled_positions=scaled_positions, cell=cell,
pbc=pbc, celldisp=celldisp, constraint=constraint,
calculator=calculator, info=info)
self.bonds = None
self.units = {"length": "A", "mass": "u"}
self._symmetry_dataset = None
self.set_initial_magnetic_moments(magmoms)
self._high_symmetry_points = None
self._high_symmetry_path = None
self.dimension = dimension
if len(self.positions) > 0:
self.dimension = len(self.positions[0])
else:
self.dimension = 0
self._visualize = Visualize(self)
self._analyse = Analyse(self)
@property
def visualize(self):
return self._visualize
@property
def analyse(self):
return self._analyse
@property
def species(self):
"""
list: A list of atomistics.structure.periodic_table.ChemicalElement instances
"""
return self._species
# @species.setter
[docs] def set_species(self, value):
"""
Setting the species list
Args:
value (list): A list atomistics.structure.periodic_table.ChemicalElement instances
"""
if value is None:
return
value = list(value)
self._species_to_index_dict = {el: i for i, el in enumerate(value)}
self._species = value[:]
self._store_elements = {el.Abbreviation: el for el in value}
@property
def elements(self):
"""
numpy.ndarray: A size N list of atomistics.structure.periodic_table.ChemicalElement instances according
to the ordering of the atoms in the instance
"""
return np.array([self.species[el] for el in self.indices])
[docs] def get_high_symmetry_points(self):
"""
dictionary of high-symmetry points defined for this specific structure.
Returns:
dict: high_symmetry_points
"""
return self._high_symmetry_points
def _set_high_symmetry_points(self, new_high_symmetry_points):
"""
Sets new high symmetry points dictionary.
Args:
new_high_symmetry_points (dict): new high symmetry points
"""
if not isinstance(new_high_symmetry_points, dict):
raise ValueError("has to be dict!")
self._high_symmetry_points = new_high_symmetry_points
[docs] def add_high_symmetry_points(self, new_points):
"""
Adds new points to the dict of existing high symmetry points.
Args:
new_points (dict): Points to add
"""
if self.get_high_symmetry_points() is None:
raise AssertionError("Construct high symmetry points first. Use self.create_line_mode_structure().")
else:
self._high_symmetry_points.update(new_points)
[docs] def get_high_symmetry_path(self):
"""
Path used for band structure calculations
Returns:
dict: dict of pathes with start and end points.
"""
return self._high_symmetry_path
def _set_high_symmetry_path(self, new_path):
"""
Sets new list for the high symmetry path used for band structure calculations.
Args:
new_path (dict): dictionary of lists of tuples with start and end point.
E.G. {"my_path": [('Gamma', 'X'), ('X', 'Y')]}
"""
self._high_symmetry_path = new_path
[docs] def add_high_symmetry_path(self, path):
"""
Adds a new path to the dictionary of pathes for band structure calculations.
Args:
path (dict): dictionary of lists of tuples with start and end point.
E.G. {"my_path": [('Gamma', 'X'), ('X', 'Y')]}
"""
if self.get_high_symmetry_path() is None:
raise AssertionError("Construct high symmetry path first. Use self.create_line_mode_structure().")
for values_all in path.values():
for values in values_all:
if not len(values) == 2:
raise ValueError(
"'{}' is not a propper trace! It has to contain exactly 2 values! (start and end point)".format(
values))
for v in values:
if v not in self.get_high_symmetry_points().keys():
raise ValueError("'{}' is not a valid high symmetry point".format(v))
self._high_symmetry_path.update(path)
[docs] def add_tag(self, *args, **qwargs):
"""
Add tags to the atoms object.
Examples:
For selective dynamics::
>>> self.add_tag(selective_dynamics=[False, False, False])
"""
self._tag_list.add_tag(*args, **qwargs)
# @staticmethod
[docs] def numbers_to_elements(self, numbers):
"""
Convert atomic numbers in element objects (needed for compatibility with ASE)
Args:
numbers (list): List of Element Numbers (as Integers; default in ASE)
Returns:
list: A list of elements as needed for pyiron
"""
# pse = PeriodicTable() # TODO; extend to internal PSE which can contain additional elements and tags
atom_number_to_element = {}
for i_el in set(numbers):
i_el = int(i_el)
atom_number_to_element[i_el] = self._pse.element(i_el)
return [atom_number_to_element[i_el] for i_el in numbers]
[docs] def copy(self):
"""
Returns a copy of the instance
Returns:
pyiron.atomistics.structure.atoms.Atoms: A copy of the instance
"""
return self.__copy__()
[docs] def to_hdf(self, hdf, group_name="structure"):
"""
Save the object in a HDF5 file
Args:
hdf (pyiron_base.generic.hdfio.FileHDFio): HDF path to which the object is to be saved
group_name (str):
Group name with which the object should be stored. This same name should be used to retrieve the object
"""
# import time
with hdf.open(group_name) as hdf_structure:
# time_start = time.time()
hdf_structure["TYPE"] = str(type(self))
for el in self.species:
if isinstance(el.tags, dict):
with hdf_structure.open("new_species") as hdf_species:
el.to_hdf(hdf_species)
hdf_structure["species"] = [el.Abbreviation for el in self.species]
hdf_structure["indices"] = self.indices
with hdf_structure.open("tags") as hdf_tags:
for tag in self._tag_list.keys():
tag_value = self._tag_list[tag]
if isinstance(tag_value, SparseList):
tag_value.to_hdf(hdf_tags, tag)
hdf_structure["units"] = self.units
hdf_structure["dimension"] = self.dimension
if self.cell is not None:
with hdf_structure.open("cell") as hdf_cell:
# Convert ASE cell object to numpy array before storing
hdf_cell["cell"] = np.array(self.cell)
hdf_cell["pbc"] = self.pbc
# hdf_structure["coordinates"] = self.positions # "Atomic coordinates"
hdf_structure["positions"] = self.positions # "Atomic coordinates"
# potentials with explicit bonds (TIP3P, harmonic, etc.)
if self.bonds is not None:
hdf_structure["explicit_bonds"] = self.bonds
# print ('time in atoms.to_hdf: ', time.time() - time_start)
if self._high_symmetry_points is not None:
hdf_structure["high_symmetry_points"] = self._high_symmetry_points
if self._high_symmetry_path is not None:
hdf_structure["high_symmetry_path"] = self._high_symmetry_path
hdf_structure["info"] = self.info
[docs] def from_hdf(self, hdf, group_name="structure"):
"""
Retrieve the object from a HDF5 file
Args:
hdf (pyiron_base.generic.hdfio.FileHDFio): HDF path to which the object is to be saved
group_name (str): Group name from which the Atoms object is retreived.
Returns:
pyiron_atomistic.structure.atoms.Atoms: The retrieved atoms class
"""
if "indices" in hdf[group_name].list_nodes():
with hdf.open(group_name) as hdf_atoms:
if "new_species" in hdf_atoms.list_groups():
with hdf_atoms.open("new_species") as hdf_species:
self._pse.from_hdf(hdf_species)
el_object_list = [
self.convert_element(el, self._pse) for el in hdf_atoms["species"]
]
self.indices = hdf_atoms["indices"]
self._tag_list._length = len(self.indices)
self.set_species(el_object_list)
self.bonds = None
tr_dict = {1: True, 0: False}
self.dimension = hdf_atoms["dimension"]
self.units = hdf_atoms["units"]
if "cell" in hdf_atoms.list_groups():
with hdf_atoms.open("cell") as hdf_cell:
self.cell = hdf_cell["cell"]
self.pbc = hdf_cell["pbc"]
# Backward compatibility
position_tag = "positions"
if position_tag not in hdf_atoms.list_nodes():
position_tag = "coordinates"
if "is_absolute" in hdf_atoms.list_nodes():
if not tr_dict[hdf_atoms["is_absolute"]]:
self.set_scaled_positions(hdf_atoms[position_tag])
else:
self.arrays['positions'] = hdf_atoms[position_tag]
else:
self.arrays['positions'] = hdf_atoms[position_tag]
self.arrays['numbers'] = self.get_atomic_numbers()
if "explicit_bonds" in hdf_atoms.list_nodes():
# print "bonds: "
self.bonds = hdf_atoms["explicit_bonds"]
if "tags" in hdf_atoms.list_groups():
with hdf_atoms.open("tags") as hdf_tags:
tags = hdf_tags.list_nodes()
for tag in tags:
# tr_dict = {'0': False, '1': True}
if isinstance(hdf_tags[tag], (list, np.ndarray)):
my_list = hdf_tags[tag]
self._tag_list[tag] = SparseList(
my_list, length=len(self)
)
else:
my_dict = hdf_tags.get_pandas(tag).to_dict()
my_dict = {
i: val
for i, val in zip(
my_dict["index"], my_dict["values"]
)
}
self._tag_list[tag] = SparseList(
my_dict, length=len(self)
)
if "bonds" in hdf_atoms.list_nodes():
self.bonds = hdf_atoms["explicit_bonds"]
self._high_symmetry_points = None
if "high_symmetry_points" in hdf_atoms.list_nodes():
self._high_symmetry_points = hdf_atoms["high_symmetry_points"]
self._high_symmetry_path = None
if "high_symmetry_path" in hdf_atoms.list_nodes():
self._high_symmetry_path = hdf_atoms["high_symmetry_path"]
if "info" in hdf_atoms.list_nodes():
self.info = hdf_atoms["info"]
return self
else:
return self._from_hdf_old(hdf, group_name)
def _from_hdf_old(self, hdf, group_name="structure"):
"""
This function exits merely for the purpose of backward compatibility
"""
with hdf.open(group_name) as hdf_atoms:
self._pse = PeriodicTable()
if "species" in hdf_atoms.list_groups():
with hdf_atoms.open("species") as hdf_species:
self._pse.from_hdf(hdf_species)
chemical_symbols = np.array(hdf_atoms["elements"], dtype=str)
el_object_list = [
self.convert_element(el, self._pse) for el in chemical_symbols
]
self.set_species(list(set(el_object_list)))
self.indices = [self._species_to_index_dict[el] for el in el_object_list]
self._tag_list._length = len(self)
self.bonds = None
if "explicit_bonds" in hdf_atoms.list_nodes():
# print "bonds: "
self.bonds = hdf_atoms["explicit_bonds"]
if "tags" in hdf_atoms.list_groups():
with hdf_atoms.open("tags") as hdf_tags:
tags = hdf_tags.list_nodes()
for tag in tags:
# tr_dict = {'0': False, '1': True}
if isinstance(hdf_tags[tag], (list, np.ndarray)):
my_list = hdf_tags[tag]
self._tag_list[tag] = SparseList(my_list, length=len(self))
else:
my_dict = hdf_tags.get_pandas(tag).to_dict()
my_dict = {
i: val
for i, val in zip(my_dict["index"], my_dict["values"])
}
self._tag_list[tag] = SparseList(my_dict, length=len(self))
self.cell = None
if "cell" in hdf_atoms.list_groups():
with hdf_atoms.open("cell") as hdf_cell:
self.cell = hdf_cell["cell"]
self.pbc = hdf_cell["pbc"]
tr_dict = {1: True, 0: False}
self.dimension = hdf_atoms["dimension"]
if "is_absolute" in hdf_atoms and not tr_dict[hdf_atoms["is_absolute"]]:
self.positions = hdf_atoms["coordinates"]
else:
self.set_scaled_positions(hdf_atoms["coordinates"])
self.units = hdf_atoms["units"]
if "bonds" in hdf_atoms.list_nodes():
self.bonds = hdf_atoms["explicit_bonds"]
self._high_symmetry_points = None
if "high_symmetry_points" in hdf_atoms.list_nodes():
self._high_symmetry_points = hdf_atoms["high_symmetry_points"]
return self
[docs] def select_index(self, el):
"""
Returns the indices of a given element in the structure
Args:
el (str/atomistics.structures.periodic_table.ChemicalElement/list): Element for which the indices should
be returned
Returns:
numpy.ndarray: An array of indices of the atoms of the given element
"""
if isinstance(el, str):
return np.where(self.get_chemical_symbols() == el)[0]
elif isinstance(el, ChemicalElement):
return np.where([e == el for e in self.get_chemical_elements()])[0]
if isinstance(el, (list, np.ndarray)):
if isinstance(el[0], str):
return np.where(np.isin(self.get_chemical_symbols(), el))[0]
elif isinstance(el[0], ChemicalElement):
return np.where([e in el for e in self.get_chemical_elements()])[0]
[docs] def select_parent_index(self, el):
"""
Returns the indices of a given element in the structure ignoring user defined elements
Args:
el (str/atomistics.structures.periodic_table.ChemicalElement): Element for which the indices should
be returned
Returns:
numpy.ndarray: An array of indices of the atoms of the given element
"""
parent_basis = self.get_parent_basis()
return parent_basis.select_index(el)
[docs] def convert_element(self, el, pse=None):
"""
Convert a string or an atom instance into a ChemicalElement instance
Args:
el (str/atomistics.structure.atom.Atom): String or atom instance from which the element should
be generated
pse (atomistics.structure.periodictable.PeriodicTable): PeriodicTable instance from which the element
is generated (optional)
Returns:
atomistics.structure.periodictable.ChemicalElement: The required chemical element
"""
if el in list(self._store_elements.keys()):
return self._store_elements[el]
if isinstance(el, string_types): # as symbol
element = Atom(el, pse=pse).element
elif isinstance(el, Atom):
element = el.element
el = el.element.Abbreviation
elif isinstance(el, ChemicalElement):
element = el
el = el.Abbreviation
else:
raise ValueError("Unknown static type to specify a element")
self._store_elements[el] = element
if hasattr(self, "species"):
if element not in self.species:
self._species.append(element)
self.set_species(self._species)
return element
[docs] def get_chemical_indices(self):
"""
Returns the list of chemical indices as ordered in self.species
Returns:
numpy.ndarray: A list of chemical indices
"""
return self.indices
[docs] def get_atomic_numbers(self):
"""
Returns the atomic numbers of all the atoms in the structure
Returns:
numpy.ndarray: A list of atomic numbers
"""
el_lst = [el.AtomicNumber for el in self.species]
return np.array([el_lst[el] for el in self.indices])
[docs] def get_chemical_symbols(self):
"""
Returns the chemical symbols for all the atoms in the structure
Returns:
numpy.ndarray: A list of chemical symbols
"""
el_lst = [el.Abbreviation for el in self.species]
return np.array([el_lst[el] for el in self.indices])
[docs] def get_parent_symbols(self):
"""
Returns the chemical symbols for all the atoms in the structure even for user defined elements
Returns:
numpy.ndarray: A list of chemical symbols
"""
sp_parent_list = list()
for sp in self.species:
if isinstance(sp.Parent, (float, np.float, type(None))):
sp_parent_list.append(sp.Abbreviation)
else:
sp_parent_list.append(sp.Parent)
return np.array([sp_parent_list[i] for i in self.indices])
[docs] def get_parent_basis(self):
"""
Returns the basis with all user defined/special elements as the it's parent
Returns:
pyiron.atomistics.structure.atoms.Atoms: Structure without any user defined elements
"""
parent_basis = copy(self)
new_species = np.array(parent_basis.species)
for i, sp in enumerate(new_species):
if not isinstance(sp.Parent, (float, np.float, type(None))):
pse = PeriodicTable()
new_species[i] = pse.element(sp.Parent)
sym_list = [el.Abbreviation for el in new_species]
if len(sym_list) != len(np.unique(sym_list)):
uni, ind, inv_ind = np.unique(
sym_list, return_index=True, return_inverse=True
)
new_species = new_species[ind].copy()
parent_basis.set_species(list(new_species))
indices_copy = parent_basis.indices.copy()
for i, ind_ind in enumerate(inv_ind):
indices_copy[parent_basis.indices == i] = ind_ind
parent_basis.indices = indices_copy
return parent_basis
parent_basis.set_species(list(new_species))
return parent_basis
[docs] def get_chemical_elements(self):
"""
Returns the list of chemical element instances
Returns:
numpy.ndarray: A list of chemical element instances
"""
return self.elements
[docs] def get_number_species_atoms(self):
"""
Returns a dictionary with the species in the structure and the corresponding count in the structure
Returns:
collections.OrderedDict: An ordered dictionary with the species and the corresponding count
"""
count = OrderedDict()
# print "sorted: ", sorted(set(self.elements))
for el in sorted(set(self.get_chemical_symbols())):
count[el] = 0
for el in self.get_chemical_symbols():
count[el] += 1
return count
[docs] def get_species_symbols(self):
"""
Returns the symbols of the present species
Returns:
numpy.ndarray: List of the symbols of the species
"""
return np.array(sorted([el.Abbreviation for el in self.species]))
[docs] def get_species_objects(self):
"""
Returns:
"""
el_set = self.species
el_sym_lst = {el.Abbreviation: i for i, el in enumerate(el_set)}
el_sorted = self.get_species_symbols()
return [el_set[el_sym_lst[el]] for el in el_sorted]
[docs] def get_number_of_species(self):
"""
Returns:
"""
return len(self.species)
[docs] def get_number_of_degrees_of_freedom(self):
"""
Returns:
"""
return len(self) * self.dimension
[docs] def get_center_of_mass(self):
"""
Returns:
com (float): center of mass in A
"""
masses = self.get_masses()
return np.einsum("i,ij->j", masses, self.positions) / np.sum(masses)
[docs] def get_masses(self):
"""
Gets the atomic masses of all atoms in the structure
Returns:
numpy.ndarray: Array of masses
"""
el_lst = [el.AtomicMass for el in self.species]
return np.array([el_lst[el] for el in self.indices])
[docs] def get_masses_dof(self):
"""
Returns:
"""
dim = self.dimension
return np.repeat(self.get_masses(), dim)
[docs] def get_volume(self, per_atom=False):
"""
Args:
per_atom (bool): True if volume per atom is to be returned
Returns:
volume (float): Volume in A**3
"""
if per_atom:
return np.abs(np.linalg.det(self.cell)) / len(self)
else:
return np.abs(np.linalg.det(self.cell))
[docs] def get_density(self):
"""
Returns the density in g/cm^3
Returns:
float: Density of the structure
"""
# conv_factor = Ang3_to_cm3/scipi.constants.Avogadro
# with Ang3_to_cm3 = 1e24
conv_factor = 1.660539040427164
return conv_factor * np.sum(self.get_masses()) / self.get_volume()
[docs] def get_number_of_atoms(self):
"""
Returns:
"""
# assert(len(self) == np.sum(self.get_number_species_atoms().values()))
return len(self)
[docs] @deprecate
def set_absolute(self):
if self._is_scaled:
self._is_scaled = False
[docs] @deprecate
def set_relative(self):
if not self._is_scaled:
self._is_scaled = True
[docs] def get_wrapped_coordinates(self, positions, epsilon=1.0e-8):
"""
Return coordinates in wrapped in the periodic cell
Args:
positions (list/numpy.ndarray): Positions
epsilon (float): displacement to add to avoid wrapping of atoms at borders
Returns:
numpy.ndarray: Wrapped positions
"""
scaled_positions = np.einsum(
'ji,nj->ni', np.linalg.inv(self.cell), np.asarray(positions).reshape(-1, 3)
)
if any(self.pbc):
scaled_positions[:, self.pbc] -= np.floor(scaled_positions[:, self.pbc]+epsilon)
new_positions = np.einsum('ji,nj->ni', self.cell, scaled_positions)
return new_positions.reshape(np.asarray(positions).shape)
[docs] def center_coordinates_in_unit_cell(self, origin=0, eps=1e-4):
"""
Wrap atomic coordinates within the supercell as given by a1, a2., a3
Args:
origin (float): 0 to confine between 0 and 1, -0.5 to confine between -0.5 and 0.5
eps (float): Tolerance to detect atoms at cell edges
Returns:
pyiron.atomistics.structure.atoms.Atoms: Wrapped structure
"""
if any(self.pbc):
self.set_scaled_positions(
np.mod(self.get_scaled_positions(wrap=False) + eps, 1) - eps + origin
)
return self
[docs] def create_line_mode_structure(self,
with_time_reversal=True,
recipe='hpkot',
threshold=1e-07,
symprec=1e-05,
angle_tolerance=-1.0,
):
"""
Uses 'seekpath' to create a new structure with high symmetry points and path for band structure calculations.
Args:
with_time_reversal (bool): if False, and the group has no inversion symmetry,
additional lines are returned as described in the HPKOT paper.
recipe (str): choose the reference publication that defines the special points and paths.
Currently, only 'hpkot' is implemented.
threshold (float): the threshold to use to verify if we are in and edge case
(e.g., a tetragonal cell, but a==c). For instance, in the tI lattice, if abs(a-c) < threshold,
a EdgeCaseWarning is issued. Note that depending on the bravais lattice,
the meaning of the threshold is different (angle, length, …)
symprec (float): the symmetry precision used internally by SPGLIB
angle_tolerance (float): the angle_tolerance used internally by SPGLIB
Returns:
pyiron.atomistics.structure.atoms.Atoms: new structure
"""
input_structure = (self.cell, self.get_scaled_positions(), self.indices)
sp_dict = seekpath.get_path(structure=input_structure,
with_time_reversal=with_time_reversal,
recipe=recipe,
threshold=threshold,
symprec=symprec,
angle_tolerance=angle_tolerance,
)
original_element_list = [el.Abbreviation for el in self.species]
element_list = [original_element_list[l] for l in sp_dict["primitive_types"]]
positions = sp_dict["primitive_positions"]
pbc = self.pbc
cell = sp_dict["primitive_lattice"]
struc_new = Atoms(elements=element_list, scaled_positions=positions, pbc=pbc, cell=cell)
struc_new._set_high_symmetry_points(sp_dict["point_coords"])
struc_new._set_high_symmetry_path({"full": sp_dict["path"]})
return struc_new
[docs] def repeat(self, rep):
"""Create new repeated atoms object.
The *rep* argument should be a sequence of three positive
integers like *(2,3,1)* or a single integer (*r*) equivalent
to *(r,r,r)*."""
atoms = self.copy()
atoms *= rep
return atoms
[docs] def set_repeat(self, vec):
self *= vec
[docs] def repeat_points(self, points, rep, centered=False):
"""
Return points with repetition given according to periodic boundary conditions
Args:
points (np.ndarray/list): xyz vector or list/array of xyz vectors
rep (int/list/np.ndarray): Repetition in each direction.
If int is given, the same value is used for
every direction
centered (bool): Whether the original points should be in the center of
repeated points.
Returns:
(np.ndarray) repeated points
"""
n = np.array([rep]).flatten()
if len(n)==1:
n = np.tile(n, 3)
if len(n)!=3:
raise ValueError('rep must be an integer or a list of 3 integers')
vector = np.array(points)
if vector.shape[-1]!=3:
raise ValueError('points must be an xyz vector or a list/array of xyz vectors')
if centered and np.mod(n, 2).sum()!=3:
warnings.warn('When centered, only odd number of repetition should be used')
v = vector.reshape(-1, 3)
n_lst = []
for nn in n:
if centered:
n_lst.append(np.arange(nn)-int(nn/2))
else:
n_lst.append(np.arange(nn))
meshgrid = np.meshgrid(n_lst[0], n_lst[1], n_lst[2])
v_repeated = np.einsum('ni,ij->nj', np.stack(meshgrid, axis=-1).reshape(-1, 3), self.cell)
v_repeated = v_repeated[:, np.newaxis, :]+v[np.newaxis, :, :]
return v_repeated.reshape((-1,)+vector.shape)
[docs] def reset_absolute(self, is_absolute):
raise NotImplementedError("This function was removed!")
[docs] @deprecate("Use Atoms.analyse.pyscal_cna_adaptive() with ovito_compatibility=True instead")
def analyse_ovito_cna_adaptive(self, mode="total"):
return self._analyse.pyscal_cna_adaptive(mode=mode, ovito_compatibility=True)
analyse_ovito_cna_adaptive.__doc__ = Analyse.pyscal_cna_adaptive.__doc__
[docs] @deprecate('Use Atoms.analyse.pyscal_centro_symmetry() instead')
def analyse_ovito_centro_symmetry(self, num_neighbors=12):
return self._analyse.pyscal_centro_symmetry(num_neighbors=num_neighbors)
analyse_ovito_centro_symmetry.__doc__ = Analyse.pyscal_centro_symmetry.__doc__
[docs] @deprecate("Use Atoms.analyse.pyscal_voronoi_volume() instead")
def analyse_ovito_voronoi_volume(self):
return self._analyse.pyscal_voronoi_volume()
analyse_ovito_voronoi_volume.__doc__ = Analyse.pyscal_voronoi_volume.__doc__
[docs] @deprecate("Use Atoms.analyse.pyscal_steinhardt_parameter() instead")
def analyse_pyscal_steinhardt_parameter(self, neighbor_method="cutoff", cutoff=0, n_clusters=2,
q=(4, 6), averaged=False, clustering=True):
return self._analyse.pyscal_steinhardt_parameter(
neighbor_method=neighbor_method, cutoff=cutoff, n_clusters=n_clusters,
q=q, averaged=averaged, clustering=clustering
)
analyse_pyscal_steinhardt_parameter.__doc__ = Analyse.pyscal_steinhardt_parameter.__doc__
[docs] @deprecate("Use Atoms.analyse.pyscal_cna_adaptive() instead")
def analyse_pyscal_cna_adaptive(self, mode="total", ovito_compatibility=False):
return self._analyse.pyscal_cna_adaptive(mode=mode, ovito_compatibility=ovito_compatibility)
analyse_pyscal_cna_adaptive.__doc__ = Analyse.pyscal_cna_adaptive.__doc__
[docs] @deprecate("Use Atoms.analyse.pyscal_centro_symmetry() instead")
def analyse_pyscal_centro_symmetry(self, num_neighbors=12):
return self._analyse.pyscal_centro_symmetry(num_neighbors=num_neighbors)
analyse_pyscal_centro_symmetry.__doc__ = Analyse.pyscal_centro_symmetry.__doc__
[docs] @deprecate("Use Atoms.analyse.pyscal_diamond_structure() instead")
def analyse_pyscal_diamond_structure(self, mode="total", ovito_compatibility=False):
return self._analyse.pyscal_diamond_structure(mode=mode, ovito_compatibility=ovito_compatibility)
analyse_pyscal_diamond_structure.__doc__ = Analyse.pyscal_diamond_structure.__doc__
[docs] @deprecate("Use Atoms.analyse.pyscal_voronoi_volume() instead")
def analyse_pyscal_voronoi_volume(self):
return self._analyse.pyscal_voronoi_volume()
analyse_pyscal_voronoi_volume.__doc__ = Analyse.pyscal_voronoi_volume.__doc__
[docs] @deprecate("Use get_symmetry()['equivalent_atoms'] instead")
def analyse_phonopy_equivalent_atoms(self):
from pyiron.atomistics.structure.phonopy import analyse_phonopy_equivalent_atoms
return analyse_phonopy_equivalent_atoms(atoms=self)
[docs] def plot3d(
self,
mode='NGLview',
show_cell=True,
show_axes=True,
camera="orthographic",
spacefill=True,
particle_size=1.0,
select_atoms=None,
background="white",
color_scheme=None,
colors=None,
scalar_field=None,
scalar_start=None,
scalar_end=None,
scalar_cmap=None,
vector_field=None,
vector_color=None,
magnetic_moments=False,
view_plane=np.array([0, 0, 1]),
distance_from_camera=1.0,
opacity=1.0
):
return self.visualize.plot3d(
mode=mode,
show_cell=show_cell,
show_axes=show_axes,
camera=camera,
spacefill=spacefill,
particle_size=particle_size,
select_atoms=select_atoms,
background=background,
color_scheme=color_scheme,
colors=colors,
scalar_field=scalar_field,
scalar_start=scalar_start,
scalar_end=scalar_end,
scalar_cmap=scalar_cmap,
vector_field=vector_field,
vector_color=vector_color,
magnetic_moments=magnetic_moments,
view_plane=view_plane,
distance_from_camera=distance_from_camera,
opacity=opacity,
)
plot3d.__doc__ = Visualize.plot3d.__doc__
[docs] def pos_xyz(self):
"""
Returns:
"""
x = self.positions[:, 0]
y = self.positions[:, 1]
z = self.positions[:, 2]
return x, y, z
[docs] def scaled_pos_xyz(self):
"""
Returns:
"""
xyz = self.get_scaled_positions(wrap=False)
return xyz[:, 0], xyz[:, 1], xyz[:, 2]
[docs] def get_extended_positions(self, width, return_indices=False, norm_order=2):
"""
Get all atoms in the boundary around the supercell which have a distance
to the supercell boundary of less than dist
Args:
width (float): width of the buffer layer on every periodic box side within which all
atoms across periodic boundaries are chosen.
return_indices (bool): Whether or not return the original indices of the appended
atoms.
norm_order (float): Order of Lp-norm.
Returns:
numpy.ndarray: Positions of all atoms in the extended box, indices of atoms in
their original option (if return_indices=True)
"""
if width<0:
raise ValueError('Invalid width')
if width==0:
if return_indices:
return self.positions, np.arange(len(self))
return self.positions
width /= np.linalg.det(self.cell)
width *= np.linalg.norm(
np.cross(np.roll(self.cell, -1, axis=0), np.roll(self.cell, 1, axis=0)),
axis=-1,
ord=norm_order,
)
rep = 2*np.ceil(width).astype(int)*self.pbc+1
rep = [np.arange(r)-int(r/2) for r in rep]
meshgrid = np.meshgrid(rep[0], rep[1], rep[2])
meshgrid = np.stack(meshgrid, axis=-1).reshape(-1, 3)
v_repeated = np.einsum('ni,ij->nj', meshgrid, self.cell)
v_repeated = v_repeated[:,np.newaxis,:]+self.positions[np.newaxis,:,:]
v_repeated = v_repeated.reshape(-1, 3)
indices = np.tile(np.arange(len(self)), len(meshgrid))
dist = v_repeated-np.sum(self.cell*0.5, axis=0)
dist = np.absolute(np.einsum('ni,ij->nj', dist+1e-8, np.linalg.inv(self.cell)))-0.5
check_dist = np.all(dist-width<0, axis=-1)
indices = indices[check_dist]%len(self)
v_repeated = v_repeated[check_dist]
if return_indices:
return v_repeated, indices
return v_repeated
[docs] def get_numbers_of_neighbors_in_sphere(
self,
cutoff_radius=10,
num_neighbors=None,
id_list=None,
width_buffer=1.2,
):
"""
Function to compute the maximum number of neighbors in a sphere around each atom.
Args:
cutoff_radius (float): Upper bound of the distance to which the search must be done
num_neighbors (int/None): maximum number of neighbors found
id_list (list): list of atoms the neighbors are to be looked for
width_buffer (float): width of the layer to be added to account for pbc.
Returns:
(np.ndarray) : for each atom the number of neighbors found in the sphere of radius
cutoff_radius (<= num_neighbors if specified)
"""
if num_neighbors is not None:
neigh = self._get_neighbors(
num_neighbors=num_neighbors,
t_vec=False,
id_list=id_list,
cutoff_radius=cutoff_radius,
width_buffer=width_buffer,
)
num_neighbors_per_atom = np.sum(neigh.distances < np.inf, axis=-1)
else:
volume_per_atom = self.get_volume(per_atom=True)
if id_list is not None:
volume_per_atom = self.get_volume() / len(id_list)
num_neighbors = int((1 + width_buffer) *
4. / 3. * np.pi * cutoff_radius ** 3 / volume_per_atom)
num_neighbors_old = num_neighbors - 1
while num_neighbors_old < num_neighbors:
neigh = self._get_neighbors(
num_neighbors=num_neighbors,
t_vec=False,
id_list=id_list,
cutoff_radius=cutoff_radius,
width_buffer=width_buffer,
)
num_neighbors_old = num_neighbors
num_neighbors_per_atom = np.sum(neigh.distances < np.inf, axis=-1)
num_neighbors = num_neighbors_per_atom.max()
if num_neighbors == num_neighbors_old:
num_neighbors = 2 * num_neighbors
return num_neighbors_per_atom
[docs] def get_neighbors_by_distance(
self,
cutoff_radius=5,
num_neighbors=None,
t_vec=True,
tolerance=2,
id_list=None,
width_buffer=1.2,
allow_ragged=True,
norm_order=2,
):
"""
Args:
cutoff_radius (float): Upper bound of the distance to which the search must be done
num_neighbors (int/None): maximum number of neighbors found; if None this is estimated based on the density.
t_vec (bool): True: compute distance vectors
(pbc are automatically taken into account)
tolerance (int): tolerance (round decimal points) used for computing neighbor shells
id_list (list): list of atoms the neighbors are to be looked for
width_buffer (float): width of the layer to be added to account for pbc.
allow_ragged (bool): Whether to allow ragged list of arrays or rectangular
numpy.ndarray filled with np.inf for values outside cutoff_radius
norm_order (int): Norm to use for the neighborhood search and shell recognition. The
definition follows the conventional Lp norm (cf.
https://en.wikipedia.org/wiki/Lp_space). This is an feature and for anything
other than norm_order=2, there is no guarantee that this works flawlessly.
Returns:
pyiron.atomistics.structure.atoms.Neighbors: Neighbors instances with the neighbor
indices, distances and vectors
"""
return self.get_neighbors(
cutoff_radius=cutoff_radius,
num_neighbors=num_neighbors,
t_vec=t_vec,
tolerance=tolerance,
id_list=id_list,
width_buffer=width_buffer,
allow_ragged=allow_ragged,
norm_order=norm_order,
)
[docs] def get_neighbors(
self,
num_neighbors=12,
t_vec=True,
tolerance=2,
id_list=None,
cutoff_radius=np.inf,
width_buffer=1.2,
allow_ragged=False,
norm_order=2,
):
"""
Args:
num_neighbors (int): number of neighbors
t_vec (bool): True: compute distance vectors
(pbc are automatically taken into account)
tolerance (int): tolerance (round decimal points) used for computing neighbor shells
id_list (list): list of atoms the neighbors are to be looked for
cutoff_radius (float): Upper bound of the distance to which the search must be done
width_buffer (float): width of the layer to be added to account for pbc.
allow_ragged (bool): Whether to allow ragged list of arrays or rectangular
numpy.ndarray filled with np.inf for values outside cutoff_radius
norm_order (int): Norm to use for the neighborhood search and shell recognition. The
definition follows the conventional Lp norm (cf.
https://en.wikipedia.org/wiki/Lp_space). This is an feature and for anything
other than norm_order=2, there is no guarantee that this works flawlessly.
Returns:
pyiron.atomistics.structure.atoms.Neighbors: Neighbors instances with the neighbor
indices, distances and vectors
"""
neigh = self._get_neighbors(
num_neighbors=num_neighbors,
t_vec=t_vec,
tolerance=tolerance,
id_list=id_list,
cutoff_radius=cutoff_radius,
width_buffer=width_buffer,
norm_order=norm_order,
)
neigh.allow_ragged = allow_ragged
return neigh
def _get_neighbors(
self,
num_neighbors=12,
t_vec=True,
tolerance=2,
id_list=None,
cutoff_radius=np.inf,
width_buffer=1.2,
get_tree=False,
norm_order=2,
):
if width_buffer<0:
raise ValueError('width_buffer must be a positive float')
if get_tree:
neigh = Tree(ref_structure=self)
else:
neigh = Neighbors(ref_structure=self, tolerance=tolerance)
neigh._norm_order = norm_order
width = neigh._estimate_width(
num_neighbors=num_neighbors,
cutoff_radius=cutoff_radius,
width_buffer=width_buffer,
)
if (width<0.5*np.min(self.cell.diagonal())
and np.isclose(np.linalg.norm(self.cell-np.eye(3)*self.cell.diagonal()), 0)
and np.all(self.pbc)
and cutoff_radius==np.inf):
neigh._cell = self.cell.diagonal()
extended_positions = self.get_extended_positions(
0,
return_indices=False,
norm_order=norm_order
).copy()
extended_positions -= neigh._cell*np.floor(extended_positions/neigh._cell)
else:
extended_positions, neigh._wrapped_indices = self.get_extended_positions(
width, return_indices=True, norm_order=norm_order
)
neigh._extended_positions = extended_positions
neigh._tree = cKDTree(extended_positions, boxsize=neigh._cell)
if get_tree:
return neigh
positions = self.positions
if id_list is not None:
positions = positions[np.array(id_list)]
neigh._get_neighborhood(
positions=positions,
num_neighbors=num_neighbors,
t_vec=t_vec,
cutoff_radius=cutoff_radius,
exclude_self=True,
width_buffer=width_buffer,
)
if neigh._check_width(width=width, pbc=self.pbc):
warnings.warn('width_buffer may have been too small - '
'most likely not all neighbors properly assigned')
return neigh
[docs] def get_neighborhood(
self,
positions,
num_neighbors=12,
t_vec=True,
cutoff_radius=np.inf,
width_buffer=1.2,
norm_order=2,
):
"""
Args:
position: Position in a box whose neighborhood information is analysed
num_neighbors (int): Number of nearest neighbors
t_vec (bool): True: compute distance vectors (pbc are taken into account)
cutoff_radius (float): Upper bound of the distance to which the search is to be done
width_buffer (float): Width of the layer to be added to account for pbc.
norm_order (int): Norm to use for the neighborhood search and shell recognition. The
definition follows the conventional Lp norm (cf.
https://en.wikipedia.org/wiki/Lp_space). This is an feature and for anything
other than norm_order=2, there is no guarantee that this works flawlessly.
Returns:
pyiron.atomistics.structure.atoms.Tree: Neighbors instances with the neighbor
indices, distances and vectors
"""
neigh = self._get_neighbors(
num_neighbors=num_neighbors,
cutoff_radius=cutoff_radius,
width_buffer=width_buffer,
t_vec=t_vec,
get_tree=True,
norm_order=norm_order,
)
return neigh._get_neighborhood(
positions=positions,
num_neighbors=num_neighbors,
t_vec=t_vec,
cutoff_radius=cutoff_radius,
)
[docs] @deprecate("Use neigh.find_neighbors_by_vector() instead (after calling neigh = structure.get_neighbors())",
version="1.0.0")
def find_neighbors_by_vector(self, vector, return_deviation=False, num_neighbors=96):
neighbors = self.get_neighbors(num_neighbors=num_neighbors)
return neighbors.find_neighbors_by_vector(vector=vector, return_deviation=return_deviation)
find_neighbors_by_vector.__doc__ = Neighbors.find_neighbors_by_vector.__doc__
[docs] @deprecate("Use neigh.get_shell_matrix() instead (after calling neigh = structure.get_neighbors())",
version="1.0.0")
def get_shell_matrix(
self, id_list=None, chemical_pair=None, num_neighbors=100, tolerance=2,
cluster_by_distances=False, cluster_by_vecs=False
):
neigh_list = self.get_neighbors(
num_neighbors=num_neighbors, id_list=id_list, tolerance=tolerance
)
return neigh_list.get_shell_matrix(
chemical_pair=chemical_pair,
cluster_by_distances=cluster_by_distances,
cluster_by_vecs=cluster_by_vecs
)
get_shell_matrix.__doc__ = Neighbors.get_shell_matrix.__doc__
[docs] def occupy_lattice(self, **qwargs):
"""
Replaces specified indices with a given species
"""
new_species = list(np.array(self.species).copy())
new_indices = np.array(self.indices.copy())
for key, i_list in qwargs.items():
el = self._pse.element(key)
if el.Abbreviation not in [spec.Abbreviation for spec in new_species]:
new_species.append(el)
new_indices[i_list] = len(new_species) - 1
else:
index = np.argwhere(np.array(new_species) == el).flatten()
new_indices[i_list] = index
delete_species_indices = list()
retain_species_indices = list()
for i, el in enumerate(new_species):
if len(np.argwhere(new_indices == i).flatten()) == 0:
delete_species_indices.append(i)
else:
retain_species_indices.append(i)
for i in delete_species_indices:
new_indices[new_indices >= i] += -1
new_species = np.array(new_species)[retain_species_indices]
self.set_species(new_species)
self.indices = new_indices
[docs] @deprecate("Use neigh.cluster_analysis() instead (after calling neigh = structure.get_neighbors())",
version="1.0.0")
def cluster_analysis(
self, id_list, neighbors=None, radius=None, return_cluster_sizes=False
):
"""
Args:
id_list:
neighbors:
radius:
return_cluster_sizes:
Returns:
"""
if neighbors is None:
if radius is None:
neigh = self.get_neighbors(num_neighbors=100)
indices = np.unique(neigh.shells[0][neigh.shells[0]<=2], return_index=True)[1]
radius = neigh.distances[0][indices]
radius = np.mean(radius)
# print "radius: ", radius
neighbors = self.get_neighbors_by_distance(cutoff_radius=radius, t_vec=False)
return neighbors.cluster_analysis(id_list=id_list, return_cluster_sizes=return_cluster_sizes)
# TODO: combine with corresponding routine in plot3d
[docs] @deprecate("Use neigh.get_bonds() instead (after calling neigh = structure.get_neighbors())",
version="1.0.0")
def get_bonds(self, radius=np.inf, max_shells=None, prec=0.1, num_neighbors=20):
"""
Args:
radius:
max_shells:
prec: minimum distance between any two clusters (if smaller considered to be single cluster)
num_neighbors:
Returns:
"""
neighbors = self.get_neighbors_by_distance(
cutoff_radius=radius, num_neighbors=num_neighbors
)
return neighbors.get_bonds(radius=radius, max_shells=max_shells, prec=prec)
# spglib calls
[docs] @deprecate_soon
def get_symmetry(
self, use_magmoms=False, use_elements=True, symprec=1e-5, angle_tolerance=-1.0
):
"""
Args:
use_magmoms:
use_elements: True or False. If False, chemical elements will be ignored
symprec:
angle_tolerance:
Returns:
"""
lattice = np.array(self.get_cell().T, dtype="double", order="C")
positions = np.array(
self.get_scaled_positions(wrap=False), dtype="double", order="C"
)
if use_elements:
numbers = np.array(self.get_atomic_numbers(), dtype="intc")
else:
numbers = np.ones_like(self.get_atomic_numbers(), dtype="intc")
if use_magmoms:
magmoms = self.get_initial_magnetic_moments()
return spglib.get_symmetry(
cell=(lattice, positions, numbers, magmoms),
symprec=symprec,
angle_tolerance=angle_tolerance,
)
else:
return spglib.get_symmetry(
cell=(lattice, positions, numbers),
symprec=symprec,
angle_tolerance=angle_tolerance,
)
[docs] @deprecate_soon
def symmetrize_vectors(
self, vectors, force_update=False, use_magmoms=False, use_elements=True, symprec=1e-5, angle_tolerance=-1.0
):
"""
Symmetrization of natom x 3 vectors according to box symmetries
Args:
vectors (ndarray/list): natom x 3 array to symmetrize
force_update (bool): whether to update the symmetry info
use_magmoms (bool): cf. get_symmetry
use_elements (bool): cf. get_symmetry
symprec (float): cf. get_symmetry
angle_tolerance (float): cf. get_symmetry
Returns:
(np.ndarray) symmetrized vectors
"""
vectors = np.array(vectors).reshape(-1, 3)
if vectors.shape != self.positions.shape:
print(vectors.shape, self.positions.shape)
raise ValueError('Vector must be a natom x 3 array: {} != {}'.format(vectors.shape, self.positions.shape))
if self._symmetry_dataset is None or force_update:
symmetry = self.get_symmetry(use_magmoms=use_magmoms, use_elements=use_elements,
symprec=symprec, angle_tolerance=angle_tolerance)
scaled_positions = self.get_scaled_positions(wrap=False)
symmetry['indices'] = []
for rot,tra in zip(symmetry['rotations'], symmetry['translations']):
positions = np.einsum('ij,nj->ni', rot, scaled_positions)+tra
positions -= np.floor(positions+1.0e-2)
vec = np.where(np.linalg.norm(positions[np.newaxis, :, :]-scaled_positions[:, np.newaxis, :], axis=-1)<=1.0e-4)
symmetry['indices'].append(vec[1])
symmetry['indices'] = np.array(symmetry['indices'])
self._symmetry_dataset = symmetry
return np.einsum('ijk,ink->nj', self._symmetry_dataset['rotations'],
vectors[self._symmetry_dataset['indices']])/len(self._symmetry_dataset['rotations'])
[docs] @deprecate_soon
def group_points_by_symmetry(self, points):
"""
This function classifies the points into groups according to the box symmetry given by spglib.
Args:
points: (np.array/list) nx3 array which contains positions
Returns: list of arrays containing geometrically equivalent positions
It is possible that the original points are not found in the returned list, as the positions outsie
the box will be projected back to the box.
"""
struct_copy = self.copy()
points = np.array(points).reshape(-1, 3)
struct_copy += Atoms(elements=len(points) * ["Hs"], positions=points)
struct_copy.center_coordinates_in_unit_cell()
group_IDs = struct_copy.get_symmetry()["equivalent_atoms"][
struct_copy.select_index("Hs")
]
return [
np.round(points[group_IDs == ID], decimals=8) for ID in np.unique(group_IDs)
]
def _get_voronoi_vertices(self, minimum_dist=0.1):
"""
This function gives the positions of Voronoi vertices
This function does not work if there are Hs atoms in the box
Args:
minimum_dist: Minimum distance between two Voronoi vertices to be considered as one
Returns: Positions of Voronoi vertices, box
"""
vor = Voronoi(
self.repeat(3 * [2]).positions
) # Voronoi package does not have periodic boundary conditions
b_cell_inv = np.linalg.inv(self.cell)
voro_vert = vor.vertices
for ind, v in enumerate(voro_vert):
pos = np.mean(
voro_vert[(np.linalg.norm(voro_vert - v, axis=-1) < minimum_dist)],
axis=0,
) # Find all points which are within minimum_dist
voro_vert[(np.linalg.norm(voro_vert - v, axis=-1) < 0.5)] = np.array(
3 * [-10]
) # Mark atoms to be deleted afterwards
voro_vert[ind] = pos
voro_vert = voro_vert[np.min(voro_vert, axis=-1) > -5]
voro_vert = np.dot(b_cell_inv.T, voro_vert.T).T # get scaled positions
voro_vert = voro_vert[
(np.min(voro_vert, axis=-1) > 0.499) & (np.max(voro_vert, axis=-1) < 1.501)
]
voro_vert = np.dot(self.cell.T, voro_vert.T).T # get true positions
box_copy = self.copy()
new_atoms = Atoms(cell=self.cell, symbols=["Hs"]).repeat([len(voro_vert), 1, 1])
box_copy += new_atoms
pos_total = np.append(self.positions, voro_vert)
pos_total = pos_total.reshape(-1, 3)
box_copy.positions = pos_total
box_copy.center_coordinates_in_unit_cell()
neigh = (
box_copy.get_neighbors()
) # delete all atoms which lie within minimum_dist (including periodic boundary conditions)
while (
len(
np.array(neigh.indices).flatten()[
np.array(neigh.distances).flatten() < minimum_dist
]
)
!= 0
):
del box_copy[
np.array(neigh.indices).flatten()[
np.array(neigh.distances).flatten() < minimum_dist
][0]
]
neigh = box_copy.get_neighbors()
return pos_total, box_copy
[docs] @deprecate_soon
def get_equivalent_voronoi_vertices(
self, return_box=False, minimum_dist=0.1, symprec=1e-5, angle_tolerance=-1.0
):
"""
This function gives the positions of spatially equivalent Voronoi vertices in lists, which
most likely represent interstitial points or vacancies (along with other high symmetry points)
Each list item contains an array of positions which are spacially equivalent.
This function does not work if there are Hs atoms in the box
Args:
return_box: True, if the box containing atoms on the positions of Voronoi vertices
should be returned (which are represented by Hs atoms)
minimum_dist: Minimum distance between two Voronoi vertices to be considered as one
Returns: List of numpy array positions of spacially equivalent Voronoi vertices
"""
_, box_copy = self._get_voronoi_vertices(minimum_dist=minimum_dist)
list_positions = []
sym = box_copy.get_symmetry(symprec=symprec, angle_tolerance=angle_tolerance)
for ind in set(sym["equivalent_atoms"][box_copy.select_index("Hs")]):
list_positions.append(box_copy.positions[sym["equivalent_atoms"] == ind])
if return_box:
return list_positions, box_copy
else:
return list_positions
[docs] @deprecate_soon
def get_equivalent_points(self, points, use_magmoms=False, use_elements=True, symprec=1e-5, angle_tolerance=-1.0):
"""
Args:
points (list/ndarray): 3d vector
use_magmoms (bool): cf. get_symmetry()
use_elements (bool): cf. get_symmetry()
symprec (float): cf. get_symmetry()
angle_tolerance (float): cf. get_symmetry()
Returns:
(ndarray): array of equivalent points with respect to box symmetries
"""
symmetry_operations = self.get_symmetry(use_magmoms=use_magmoms,
use_elements=use_elements,
symprec=symprec,
angle_tolerance=angle_tolerance)
R = symmetry_operations['rotations']
t = symmetry_operations['translations']
x = np.einsum('jk,j->k', np.linalg.inv(self.cell), points)
x = np.einsum('nxy,y->nx', R, x)+t
x -= np.floor(x)
dist = x[:,np.newaxis]-x[np.newaxis,:]
w, v = np.where(np.linalg.norm(dist-np.rint(dist), axis=-1)<symprec)
x = np.delete(x, w[v<w], axis=0)
x = np.einsum('ji,mj->mi', self.cell, x)
return x
[docs] @deprecate_soon
def get_symmetry_dataset(self, symprec=1e-5, angle_tolerance=-1.0):
"""
Args:
symprec:
angle_tolerance:
Returns:
https://atztogo.github.io/spglib/python-spglib.html
"""
lattice = np.array(self.get_cell().T, dtype="double", order="C")
positions = np.array(
self.get_scaled_positions(wrap=False), dtype="double", order="C"
)
numbers = np.array(self.get_atomic_numbers(), dtype="intc")
return spglib.get_symmetry_dataset(
cell=(lattice, positions, numbers),
symprec=symprec,
angle_tolerance=angle_tolerance,
)
[docs] @deprecate_soon
def get_spacegroup(self, symprec=1e-5, angle_tolerance=-1.0):
"""
Args:
symprec:
angle_tolerance:
Returns:
https://atztogo.github.io/spglib/python-spglib.html
"""
lattice = np.array(self.get_cell(), dtype="double", order="C")
positions = np.array(
self.get_scaled_positions(wrap=False), dtype="double", order="C"
)
numbers = np.array(self.get_atomic_numbers(), dtype="intc")
space_group = spglib.get_spacegroup(
cell=(lattice, positions, numbers),
symprec=symprec,
angle_tolerance=angle_tolerance,
).split()
if len(space_group) == 1:
return {"Number": ast.literal_eval(space_group[0])}
else:
return {
"InternationalTableSymbol": space_group[0],
"Number": ast.literal_eval(space_group[1]),
}
[docs] @deprecate_soon
def refine_cell(self, symprec=1e-5, angle_tolerance=-1.0):
"""
Args:
symprec:
angle_tolerance:
Returns:
https://atztogo.github.io/spglib/python-spglib.html
"""
lattice = np.array(self.get_cell().T, dtype="double", order="C")
positions = np.array(
self.get_scaled_positions(wrap=False), dtype="double", order="C"
)
numbers = np.array(self.get_atomic_numbers(), dtype="intc")
cell, coords, el = spglib.refine_cell(
cell=(lattice, positions, numbers),
symprec=symprec,
angle_tolerance=angle_tolerance,
)
return Atoms(
symbols=list(self.get_chemical_symbols()), positions=coords, cell=cell, pbc=self.pbc
)
[docs] @deprecate_soon
def get_primitive_cell(self, symprec=1e-5, angle_tolerance=-1.0):
"""
Args:
symprec:
angle_tolerance:
Returns:
"""
el_dict = {}
for el in set(self.get_chemical_elements()):
el_dict[el.AtomicNumber] = el
lattice = np.array(self.get_cell().T, dtype="double", order="C")
positions = np.array(
self.get_scaled_positions(wrap=False), dtype="double", order="C"
)
numbers = np.array(self.get_atomic_numbers(), dtype="intc")
cell, coords, atomic_numbers = spglib.find_primitive(
cell=(lattice, positions, numbers),
symprec=symprec,
angle_tolerance=angle_tolerance,
)
# print atomic_numbers, type(atomic_numbers)
el_lst = [el_dict[i_a] for i_a in atomic_numbers]
# convert lattice vectors to standard (experimental feature!) TODO:
red_structure = Atoms(elements=el_lst, scaled_positions=coords, cell=cell, pbc=self.pbc)
space_group = red_structure.get_spacegroup(symprec)["Number"]
# print "space group: ", space_group
if space_group == 225: # fcc
alat = np.max(cell[0])
amat_fcc = alat * np.array([[1, 0, 1], [1, 1, 0], [0, 1, 1]])
red_structure.cell = amat_fcc
return red_structure
[docs] @deprecate_soon
def get_ir_reciprocal_mesh(
self,
mesh,
is_shift=np.zeros(3, dtype="intc"),
is_time_reversal=True,
symprec=1e-5,
):
"""
Args:
mesh:
is_shift:
is_time_reversal:
symprec:
Returns:
"""
mapping, mesh_points = spglib.get_ir_reciprocal_mesh(
mesh=mesh,
cell=self,
is_shift=is_shift,
is_time_reversal=is_time_reversal,
symprec=symprec,
)
return mapping, mesh_points
[docs] def get_majority_species(self, return_count=False):
"""
This function returns the majority species and their number in the box
Returns:
number of atoms of the majority species, chemical symbol and chemical index
"""
el_dict = self.get_number_species_atoms()
el_num = list(el_dict.values())
el_name = list(el_dict.keys())
if np.sum(np.array(el_num) == np.max(el_num)) > 1:
warnings.warn("There are more than one majority species")
symbol_to_index = dict(
zip(self.get_chemical_symbols(), self.get_chemical_indices())
)
max_index = np.argmax(el_num)
return {
"symbol": el_name[max_index],
"count": int(np.max(el_num)),
"index": symbol_to_index[el_name[max_index]],
}
[docs] def close(self):
# TODO: implement
pass
[docs] @deprecate("Use Atoms.analyse.pyscal_voronoi_volume() instead")
def get_voronoi_volume(self):
return self._analyse.pyscal_voronoi_volume()
get_voronoi_volume.__doc__ = Analyse.pyscal_voronoi_volume.__doc__
[docs] def find_mic(self, v, vectors=True):
"""
Find vectors following minimum image convention (mic). In principle this
function does the same as ase.geometry.find_mic
Args:
v (list/numpy.ndarray): 3d vector or a list/array of 3d vectors
vectors (bool): Whether to return vectors (distances are returned if False)
Returns: numpy.ndarray of the same shape as input with mic
"""
vecs = np.asarray(v).reshape(-1, 3)
if any(self.pbc):
vecs = np.einsum('ji,nj->ni', np.linalg.inv(self.cell), vecs)
vecs[:,self.pbc] -= np.rint(vecs)[:,self.pbc]
vecs = np.einsum('ji,nj->ni', self.cell, vecs)
if vectors:
return vecs.reshape(np.asarray(v).shape)
return np.linalg.norm(vecs, axis=-1).reshape(np.asarray(v).shape[:-1])
[docs] def get_distance(self, a0, a1, mic=True, vector=False):
"""
Return distance between two atoms.
Use mic=True to use the Minimum Image Convention.
vector=True gives the distance vector (from a0 to a1).
Args:
a0 (int/numpy.ndarray/list): position or atom ID
a1 (int/numpy.ndarray/list): position or atom ID
mic (bool): minimum image convention (True if periodic boundary conditions should be considered)
vector (bool): True, if instead of distnce the vector connecting the two positions should be returned
Returns:
float: distance or vectors in length unit
"""
from ase.geometry import find_mic
positions = self.positions
if isinstance(a0, list) or isinstance(a0, np.ndarray):
if not (len(a0) == 3):
raise AssertionError()
a0 = np.array(a0)
else:
a0 = positions[a0]
if isinstance(a1, list) or isinstance(a1, np.ndarray):
if not (len(a1) == 3):
raise AssertionError()
a1 = np.array(a1)
else:
a1 = positions[a1]
distance = np.array([a1 - a0])
if mic:
distance, d_len = find_mic(distance, self.cell, self.pbc)
else:
d_len = np.array([np.sqrt((distance ** 2).sum())])
if vector:
return distance[0]
return d_len[0]
[docs] def get_distances_array(self, p1=None, p2=None, mic=True, vectors=False):
"""
Return distance matrix of every position in p1 with every position in
p2. If p2 is not set, it is assumed that distances between all
positions in p1 are desired. p2 will be set to p1 in this case. If both
p1 and p2 are not set, the distances between all atoms in the box are
returned.
Args:
p1 (numpy.ndarray/list): Nx3 array of positions
p2 (numpy.ndarray/list): Nx3 array of positions
mic (bool): minimum image convention
vectors (bool): return vectors instead of distances
Returns:
numpy.ndarray: NxN if vector=False and NxNx3 if vector=True
"""
if p1 is None and p2 is not None:
p1 = p2
p2 = None
if p1 is None:
p1 = self.positions
if p2 is None:
p2 = self.positions
p1 = np.asarray(p1)
p2 = np.asarray(p2)
diff_relative = p2.reshape(-1,3)[np.newaxis,:,:]-p1.reshape(-1,3)[:,np.newaxis,:]
diff_relative = diff_relative.reshape(p1.shape[:-1]+p2.shape[:-1]+(3,))
if not mic:
if vectors:
return diff_relative
else:
return np.linalg.norm(diff_relative, axis=-1)
return self.find_mic(diff_relative, vectors=vectors)
[docs] def append(self, atom):
if isinstance(atom, ASEAtom):
super(Atoms, self).append(atom=atom)
else:
new_atoms = atom.copy()
if new_atoms.pbc.all() and np.isclose(new_atoms.get_volume(), 0):
new_atoms.cell = self.cell
new_atoms.pbc = self.pbc
self += new_atoms
[docs] def extend(self, other):
"""
Extend atoms object by appending atoms from *other*. (Extending the ASE function)
Args:
other (pyiron.atomistics.structure.atoms.Atoms/ase.atoms.Atoms): Structure to append
Returns:
pyiron.atomistics.structure.atoms.Atoms: The extended structure
"""
old_indices = self.indices
if isinstance(other, Atom):
other = self.__class__([other])
elif isinstance(other, ASEAtom):
other = self.__class__([ase_to_pyiron_atom(other)])
if not isinstance(other, Atoms) and isinstance(other, ASEAtoms):
warnings.warn("Converting ase structure to pyiron before appending the structure")
other = ase_to_pyiron(other)
new_indices = other.indices.copy()
super(Atoms, self).extend(other=other)
if isinstance(other, Atoms):
if not np.allclose(self.cell, other.cell):
warnings.warn("You are adding structures with different cell shapes. "
"Taking the cell and pbc of the first structure:{}".format(self.cell))
if not np.array_equal(self.pbc, other.pbc):
warnings.warn("You are adding structures with different periodic boundary conditions. "
"Taking the cell and pbc of the first structure:{}".format(self.cell))
sum_atoms = self
# sum_atoms = copy(self)
sum_atoms._tag_list = sum_atoms._tag_list + other._tag_list
sum_atoms.indices = np.append(sum_atoms.indices, other.indices)
new_species_lst = copy(sum_atoms.species)
ind_conv = {}
for ind_old, el in enumerate(other.species):
if el.Abbreviation in sum_atoms._store_elements.keys():
ind_new = sum_atoms._species_to_index_dict[
sum_atoms._store_elements[el.Abbreviation]
]
ind_conv[ind_old] = ind_new
else:
new_species_lst.append(el)
sum_atoms._store_elements[el.Abbreviation] = el
ind_conv[ind_old] = len(new_species_lst) - 1
for key, val in ind_conv.items():
new_indices[new_indices == key] = val + 1000
new_indices = np.mod(new_indices, 1000)
sum_atoms.indices[len(old_indices):] = new_indices
sum_atoms.set_species(new_species_lst)
if not len(set(sum_atoms.indices)) == len(sum_atoms.species):
raise ValueError("Adding the atom instances went wrong!")
return self
__iadd__ = extend
def __copy__(self):
"""
Copies the atoms object
Returns:
atoms_new: A copy of the object
"""
# Using ASE copy
atoms_new = super(Atoms, self).copy()
ase_keys = list(ASEAtoms().__dict__.keys())
ase_keys.append("_pse")
# Only copy the non ASE keys
for key, val in self.__dict__.items():
if key not in ase_keys:
atoms_new.__dict__[key] = copy(val)
atoms_new._visualize = Visualize(atoms_new)
atoms_new._analyse = Analyse(atoms_new)
return atoms_new
def __delitem__(self, key):
if isinstance(key, (int, np.integer)):
key = [key]
key = np.array(key).flatten()
new_length = len(self) - len(np.arange(len(self))[np.asarray(key)])
super(Atoms, self).__delitem__(key)
self.indices = np.delete(self.indices, key, axis=0)
del self._tag_list[key]
self._tag_list._length = new_length
deleted_species_indices = list()
retain_species_indices = list()
new_indices = self.indices.copy()
for i, el in enumerate(self.species):
if len(self.select_index(el)) == 0:
deleted_species_indices.append(i)
new_indices[new_indices >= i] += -1
else:
retain_species_indices.append(i)
new_species = np.array(self.species).copy()[retain_species_indices]
self.set_species(new_species)
self.indices = new_indices
def __eq__(self, other):
return super(Atoms, self).__eq__(other) and \
np.array_equal(self.get_chemical_symbols(), other.get_chemical_symbols())
def __ne__(self, other):
return not self == other
def __getitem__(self, item):
new_dict = dict()
if isinstance(item, int):
for key, value in self._tag_list.items():
if item < len(value):
if value[item] is not None:
new_dict[key] = value[item]
element = self.species[self.indices[item]]
index = item
position = self.positions[item]
return Atom(
element=element,
position=position,
pse=self._pse,
index=index,
atoms=self,
**new_dict
)
new_array = super(Atoms, self).__getitem__(item)
new_array.dimension = self.dimension
if isinstance(item, tuple):
item = list(item)
new_indices = self.indices[item].copy()
new_species_indices, new_proper_indices = np.unique(
new_indices, return_inverse=True
)
new_species = [self.species[ind] for ind in new_species_indices]
new_array.set_species(new_species)
new_array.indices = new_proper_indices
new_array._tag_list = self._tag_list[item]
# new_array._tag_list._length = self._tag_list._length
new_array._tag_list._length = len(new_array)
if isinstance(new_array, Atom):
natoms = len(self)
if item < -natoms or item >= natoms:
raise IndexError("Index out of range.")
new_array.index = item
return new_array
def __getattr__(self, item):
if item in self._tag_list.keys():
return self._tag_list._lists[item]
return object.__getattribute__(self, item)
# def __len__(self):
# return len(self.indices)
def __repr__(self):
return self.__str__()
def __str__(self):
if len(self) == 0:
return "[]"
out_str = ""
for el, pos in zip(self.get_chemical_symbols(), self.positions):
out_str += el + ": " + str(pos) + "\n"
if len(self.get_tags()) > 0:
tags = self.get_tags()
out_str += "tags: \n" # + ", ".join(tags) + "\n"
for tag in tags:
out_str += (
" " + str(tag) + ": " + self._tag_list[tag].__str__() + "\n"
)
if self.cell is not None:
out_str += "pbc: " + str(self.pbc) + "\n"
out_str += "cell: \n"
out_str += str(self.cell) + "\n"
return out_str
def __setitem__(self, key, value):
if isinstance(key, (int, np.integer)):
old_el = self.species[self.indices[key]]
if isinstance(value, (str, np.str, np.str_)):
el = PeriodicTable().element(value)
elif isinstance(value, ChemicalElement):
el = value
else:
raise TypeError("value should either be a string or a ChemicalElement.")
if el != old_el:
new_species = np.array(self.species).copy()
if len(self.select_index(old_el)) == 1:
if el.Abbreviation not in [
spec.Abbreviation for spec in new_species
]:
new_species[self.indices[key]] = el
self.set_species(list(new_species))
else:
el_list = np.array([sp.Abbreviation for sp in new_species])
ind = np.argwhere(el_list == el.Abbreviation).flatten()[-1]
remove_index = self.indices[key]
new_species = list(new_species)
del new_species[remove_index]
self.indices[key] = ind
self.indices[self.indices > remove_index] -= 1
self.set_species(new_species)
else:
if el.Abbreviation not in [
spec.Abbreviation for spec in new_species
]:
new_species = list(new_species)
new_species.append(el)
self.set_species(new_species)
self.indices[key] = len(new_species) - 1
else:
el_list = np.array([sp.Abbreviation for sp in new_species])
ind = np.argwhere(el_list == el.Abbreviation).flatten()[-1]
self.indices[key] = ind
elif isinstance(key, slice) or isinstance(key, (list, tuple, np.ndarray)):
if not isinstance(key, slice):
if hasattr(key, "__len__"):
if len(key) == 0:
return
else:
# Generating the correct numpy array from a slice input
if key.start is None:
start_val = 0
elif key.start < 0:
start_val = key.start + len(self)
else:
start_val = key.start
if key.stop is None:
stop_val = len(self)
elif key.stop < 0:
stop_val = key.stop + len(self)
else:
stop_val = key.stop
if key.step is None:
step_val = 1
else:
step_val = key.step
key = np.arange(start_val, stop_val, step_val)
if isinstance(value, (str, np.str, np.str_, int, np.integer)):
el = PeriodicTable().element(value)
elif isinstance(value, ChemicalElement):
el = value
else:
raise ValueError(
"The value assigned should be a string, integer or a ChemicalElement instance"
)
replace_list = list()
new_species = list(np.array(self.species).copy())
for sp in self.species:
replace_list.append(
np.array_equal(
np.sort(self.select_index(sp)),
np.sort(np.intersect1d(self.select_index(sp), key)),
)
)
if el.Abbreviation not in [spec.Abbreviation for spec in new_species]:
if not any(replace_list):
new_species.append(el)
self.set_species(new_species)
self.indices[key] = len(new_species) - 1
else:
replace_ind = np.where(replace_list)[0][0]
new_species[replace_ind] = el
if len(np.where(replace_list)[0]) > 1:
for ind in replace_list[1:]:
del new_species[ind]
self.set_species(new_species)
self.indices[key] = replace_ind
else:
el_list = np.array([sp.Abbreviation for sp in new_species])
ind = np.argwhere(el_list == el.Abbreviation).flatten()[-1]
if not any(replace_list):
self.set_species(new_species)
self.indices[key] = ind
else:
self.indices[key] = ind
delete_indices = list()
new_indices = self.indices.copy()
for i, rep in enumerate(replace_list):
if i != ind and rep:
delete_indices.append(i)
# del new_species[i]
new_indices[new_indices >= i] -= 1
self.indices = new_indices.copy()
new_species = np.array(new_species)[
np.setdiff1d(np.arange(len(new_species)), delete_indices)
].tolist()
self.set_species(new_species)
else:
raise NotImplementedError()
__mul__ = repeat
def __imul__(self, vec):
if isinstance(vec, (int, np.integer)):
vec = [vec] * self.dimension
initial_length = len(self)
if not hasattr(vec, '__len__'):
raise ValueError('Box repetition must be an integer or a list/ndarray of integers and not', type(vec))
if len(vec) != self.dimension:
raise AssertionError('Dimension of box repetition not consistent: ', len(vec), '!=', self.dimension)
i_vec = np.array([vec[0], 1, 1])
if self.dimension > 1:
i_vec[1] = vec[1]
if self.dimension > 2:
i_vec[2] = vec[2]
if not self.dimension == 3:
raise NotImplementedError()
mx, my, mz = i_vec
# Our position repeat algorithm is faster than ASE (no nested loops)
nx_lst, ny_lst, nz_lst = np.arange(mx), np.arange(my), np.arange(mz)
positions = self.get_scaled_positions(wrap=False)
lat = np.array(np.meshgrid(nx_lst, ny_lst, nz_lst)).T.reshape(-1, 3)
lat_new = np.repeat(lat, len(positions), axis=0)
new_positions = np.tile(positions, (len(lat), 1)) + lat_new
new_positions /= np.array(i_vec)
self.set_cell((self.cell.T * np.array(vec)).T, scale_atoms=True)
# ASE compatibility
for name, a in self.arrays.items():
self.arrays[name] = np.tile(a, (np.product(vec),) + (1, ) * (len(a.shape) - 1))
self.arrays["positions"] = np.dot(new_positions, self.cell)
self.indices = np.tile(self.indices, len(lat))
self._tag_list._length = len(self)
scale = i_vec[0] * i_vec[1] * i_vec[2]
for tag in self._tag_list.keys():
self._tag_list[tag] *= scale
# Repeating ASE constraints
if self.constraints is not None:
self.constraints = [c.repeat(vec, initial_length) for c in self.constraints]
return self
[docs] def get_constraint(self):
if "selective_dynamics" in self._tag_list._lists.keys():
from ase.constraints import FixAtoms
return FixAtoms(indices=[atom_ind for atom_ind in
range(len(self)) if not any(self.selective_dynamics[atom_ind])])
else:
return None
[docs] def set_constraint(self, constraint=None):
super(Atoms, self).set_constraint(constraint)
if constraint is not None:
if constraint.todict()["name"] != "FixAtoms":
raise ValueError("Only FixAtoms is supported as ASE compatible constraint.")
if "selective_dynamics" not in self._tag_list._lists.keys():
self.add_tag(selective_dynamics=None)
for atom_ind in range(len(self)):
if atom_ind in constraint.index:
self.selective_dynamics[atom_ind] = [False, False, False]
else:
self.selective_dynamics[atom_ind] = [True, True, True]
[docs] def apply_strain(self, epsilon, return_box=False):
"""
Apply a given strain on the structure
Args:
epsilon (float/list/ndarray): epsilon matrix. If a single number is set, the same strain
is applied in each direction. If a 3-dim vector is set, it
will be multiplied by a unit matrix.
return_box (bool): whether to return a box. If set to True, only the returned box will
have the desired strain and the original box will stay unchanged.
"""
epsilon = np.array([epsilon]).flatten()
if len(epsilon) == 3 or len(epsilon) == 1:
epsilon = epsilon*np.eye(3)
epsilon = epsilon.reshape(3, 3)
if epsilon.min() < -1.0:
raise ValueError("Strain value too negative")
if return_box:
structure_copy = self.copy()
else:
structure_copy = self
cell = structure_copy.cell.copy()
cell = np.matmul(epsilon + np.eye(3), cell)
structure_copy.set_cell(cell, scale_atoms=True)
if return_box:
return structure_copy
[docs] def get_spherical_coordinates(self, x=None):
"""
Args:
x (list/ndarray): coordinates to transform. If not set, the positions
in structure will be returned.
Returns:
array in spherical coordinates
"""
if x is None:
x = self.positions.copy()
x = np.array(x).reshape(-1, 3)
r = np.linalg.norm(x, axis=-1)
phi = np.arctan2(x[:,2], x[:,1])
theta = np.arctan2(np.linalg.norm(x[:,:2], axis=-1), x[:,2])
return np.stack((r, theta, phi), axis=-1)
[docs] def get_initial_magnetic_moments(self):
"""
Get array of initial magnetic moments.
Returns:
numpy.array()
"""
if "spin" in self._tag_list._lists.keys():
return np.asarray(self.spin.list())
else:
spin_lst = [
element.tags["spin"] if "spin" in element.tags.keys() else None
for element in self.get_chemical_elements()
]
if any(spin_lst):
if (
isinstance(spin_lst, str)
or (
isinstance(spin_lst, (list, np.ndarray))
and isinstance(spin_lst[0], str)
)
) and "[" in list(set(spin_lst))[0]:
return np.array(
[
[
float(spin_dir)
for spin_dir in spin.replace("[", "")
.replace("]", "")
.replace(",", "")
.split()
]
if spin
else [0.0, 0.0, 0.0]
for spin in spin_lst
]
)
elif isinstance(spin_lst, (list, np.ndarray)):
return np.array(spin_lst)
else:
return np.array([float(spin) if spin else 0.0 for spin in spin_lst])
else:
return np.array([None] * len(self))
[docs] def set_initial_magnetic_moments(self, magmoms=None):
"""
Set array of initial magnetic moments.
Args:
magmoms (numpy.ndarray/list): List of magneric moments
"""
# pyiron part
if magmoms is not None:
if len(magmoms) != len(self):
raise ValueError("magmons can be collinear or non-collinear.")
for ind, element in enumerate(self.get_chemical_elements()):
if "spin" in element.tags.keys():
self[ind] = element.Parent
if "spin" not in self._tag_list._lists.keys():
self.add_tag(spin=None)
for ind, spin in enumerate(magmoms):
self.spin[ind] = spin
# ASE part
if magmoms is None:
self.set_array('initial_magmoms', None)
else:
magmoms = np.asarray(magmoms)
self.arrays['initial_magmoms'] = magmoms
[docs] def rotate(self, a=0.0, v=None, center=(0, 0, 0), rotate_cell=False, index_list=None
):
"""
Rotate atoms based on a vector and an angle, or two vectors. This function is completely adopted from ASE code
(https://wiki.fysik.dtu.dk/ase/_modules/ase/atoms.html#Atoms.rotate)
Args:
a (float/list) in degrees = None:
Angle that the atoms is rotated around the vecor 'v'. If an angle
is not specified, the length of 'v' is used as the angle
(default). The angle can also be a vector and then 'v' is rotated
into 'a'.
v (list/numpy.ndarray/string):
Vector to rotate the atoms around. Vectors can be given as
strings: 'x', '-x', 'y', ... .
center (tuple/list/numpy.ndarray/str): The center is kept fixed under the rotation. Use 'COM' to fix
the center of mass, 'COP' to fix the center of positions or
'COU' to fix the center of cell.
rotate_cell = False:
If true the cell is also rotated.
index_list (list/numpy.ndarray):
Indices of atoms to be rotated
Examples:
Rotate 90 degrees around the z-axis, so that the x-axis is
rotated into the y-axis:
>>> atoms = Atoms()
>>> atoms.rotate(90, 'z')
>>> atoms.rotate(90, (0, 0, 1))
>>> atoms.rotate(-90, '-z')
>>> atoms.rotate('x', 'y')
>>> atoms.rotate((1, 0, 0), (0, 1, 0))
"""
if index_list is None:
super(Atoms, self).rotate(a=a, v=v, center=center, rotate_cell=rotate_cell)
else:
dummy_basis = copy(self)
dummy_basis.rotate(a=a, v=v, center=center, rotate_cell=rotate_cell)
self.positions[index_list] = dummy_basis.positions[index_list]
class _CrystalStructure(Atoms):
"""
only for historical reasons
Args:
element:
BravaisLattice:
BravaisBasis:
LatticeConstants:
Dimension:
relCoords:
PSE:
**kwargs:
"""
def __init__(
self,
element="Fe",
bravais_lattice="cubic",
bravais_basis="primitive",
lattice_constants=None, # depending on symmetry length and angles
dimension=3,
rel_coords=True,
pse=None,
**kwargs
):
# print "basis0"
# allow also for scalar input for LatticeConstants (for a cubic system)
if lattice_constants is None:
lattice_constants = [1.0]
try:
test = lattice_constants[0]
except (TypeError, IndexError):
lattice_constants = [lattice_constants]
self.bravais_lattice = bravais_lattice
self.bravais_basis = bravais_basis
self.lattice_constants = lattice_constants
self.dimension = dimension
self.relCoords = rel_coords
self.element = element
self.__updateCrystal__(pse)
self.crystalParamsDict = {
"BravaisLattice": self.bravais_lattice,
"BravaisBasis": self.bravais_basis,
"LatticeConstants": self.lattice_constants,
}
self.crystal_lattice_dict = {
3: {
"cubic": ["fcc", "bcc", "primitive"],
"hexagonal": ["primitive", "hcp"],
"monoclinic": ["primitive", "base-centered"],
"triclinic": ["primitive"],
"orthorombic": [
"primitive",
"body-centered",
"base-centered",
"face-centered",
],
"tetragonal": ["primitive", "body-centered"],
"rhombohedral": ["primitive"],
},
2: {
"oblique": ["primitive"],
"rectangular": ["primitive", "centered"],
"hexagonal": ["primitive"],
"square": ["primitive"],
},
1: {"line": ["primitive"]},
}
# init structure for lattice parameters alat, blat, clat, alpha, beta, gamma
self.crystalLatticeParams = {
3: {
"cubic": [1.0],
"hexagonal": [1.0, 2.0],
"monoclinic": [1.0, 1.0, 1.0, 90.0],
"triclinic": [1.0, 2.0, 3.0, 90.0, 90.0, 90.0],
"orthorombic": [1.0, 1.0, 1.0],
"tetragonal": [1.0, 2.0],
"rhombohedral": [1.0, 90.0, 90.0, 90.0],
},
2: {
"oblique": [1.0, 1.0, 90.0],
"rectangular": [1.0, 1.0],
"hexagonal": [1.0],
"square": [1.0],
},
1: {"line": [1.0]},
}
# print "basis"
super(_CrystalStructure, self).__init__(
elements=self.ElementList,
scaled_positions=self.coordinates,
cell=self.amat, # tag = "Crystal",
pbc=[True, True, True][0 : self.dimension],
)
# ## private member functions
def __updateCrystal__(self, pse=None):
"""
Args:
pse:
Returns:
"""
self.__updateAmat__()
self.__updateCoordinates__()
self.__updateElementList__(pse)
def __updateAmat__(self): # TODO: avoid multi-call of this function
"""
Returns:
"""
# print "lat constants (__updateAmat__):", self.LatticeConstants
a_lat = self.lattice_constants[0]
if self.dimension == 3:
alpha = None
beta = None
gamma = None
b_lat, c_lat = None, None
if self.bravais_lattice == "cubic":
b_lat = c_lat = a_lat
alpha = beta = gamma = 90 / 180.0 * np.pi # 90 degrees
elif self.bravais_lattice == "tetragonal":
b_lat = a_lat
c_lat = self.lattice_constants[1]
alpha = beta = gamma = 0.5 * np.pi # 90 degrees
elif self.bravais_lattice == "triclinic":
b_lat = self.lattice_constants[1]
c_lat = self.lattice_constants[2]
alpha = self.lattice_constants[3] / 180.0 * np.pi
beta = self.lattice_constants[4] / 180.0 * np.pi
gamma = self.lattice_constants[5] / 180.0 * np.pi
elif self.bravais_lattice == "hexagonal":
b_lat = a_lat
c_lat = self.lattice_constants[1]
alpha = 60.0 / 180.0 * np.pi # 60 degrees
beta = gamma = 0.5 * np.pi # 90 degrees
elif self.bravais_lattice == "orthorombic":
b_lat = self.lattice_constants[1]
c_lat = self.lattice_constants[2]
alpha = beta = gamma = 0.5 * np.pi # 90 degrees
elif self.bravais_lattice == "rhombohedral":
b_lat = a_lat
c_lat = a_lat
alpha = self.lattice_constants[1] / 180.0 * np.pi
beta = self.lattice_constants[2] / 180.0 * np.pi
gamma = self.lattice_constants[3] / 180.0 * np.pi
elif self.bravais_lattice == "monoclinic":
b_lat = self.lattice_constants[1]
c_lat = self.lattice_constants[2]
alpha = 0.5 * np.pi
beta = self.lattice_constants[3] / 180.0 * np.pi
gamma = 0.5 * np.pi
b1 = np.cos(alpha)
b2 = np.sin(alpha)
c1 = np.cos(beta)
c2 = (np.cos(gamma) - np.cos(beta) * np.cos(alpha)) / np.sin(alpha)
self.amat = np.array(
[
[a_lat, 0.0, 0.0],
[b_lat * b1, b_lat * b2, 0.0],
[c_lat * c1, c_lat * c2, c_lat * np.sqrt(1 - c2 * c2 - c1 * c1)],
]
)
elif self.dimension == 2: # TODO not finished yet
self.amat = a_lat * np.array([[1.0, 0.0], [0.0, 1.0]])
if self.bravais_lattice == "rectangular":
b_lat = self.lattice_constants[1]
self.amat = np.array([[a_lat, 0.0], [0.0, b_lat]])
elif self.dimension == 1:
self.amat = a_lat * np.array([[1.0]])
else:
raise ValueError("Bravais lattice not defined!")
def __updateElementList__(self, pse=None):
"""
Args:
pse:
Returns:
"""
self.ElementList = len(self.coordinates) * [self.element]
def __updateCoordinates__(self):
"""
Returns:
"""
# if relative coordinates
basis = None
if self.dimension == 3:
if self.bravais_basis == "fcc" or self.bravais_basis == "face-centered":
basis = np.array(
[[0.0, 0.0, 0.0], [0.5, 0.5, 0.0], [0.5, 0.0, 0.5], [0.0, 0.5, 0.5]]
)
elif self.bravais_basis == "body-centered" or self.bravais_basis == "bcc":
basis = np.array([[0.0, 0.0, 0.0], [0.5, 0.5, 0.5]])
elif self.bravais_basis == "base-centered":
basis = np.array([[0.0, 0.0, 0.0], [0.5, 0.5, 0.0]])
elif self.bravais_basis == "hcp":
# basis = r([[0.0,-1./np.sqrt(3.),np.sqrt(8./3.)]])
# a = self.LatticeConstants[0]
# c = self.LatticeConstants[1]
basis = np.array([[0.0, 0.0, 0.0], [1.0 / 3.0, 1.0 / 3.0, 1.0 / 2.0]])
# basis = np.dot(basis,np.linalg.inv(self.amat))
elif self.bravais_basis == "primitive":
basis = np.array([[0.0, 0.0, 0.0]])
else:
raise ValueError(
"Only fcc, bcc, hcp, base-centered, body-centered and primitive cells are supported for 3D."
)
elif self.dimension == 2:
if self.bravais_basis == "primitive":
basis = np.array([[0.0, 0.0]])
elif self.bravais_basis == "centered":
basis = np.array([[0.0, 0.0], [0.5, 0.5]])
else:
raise ValueError(
"Only centered and primitive cells are supported for 2D."
)
elif self.dimension == 1:
if self.bravais_basis == "primitive":
basis = np.array([[0.0]])
else:
raise ValueError(
"Only primitive cells are supported for 1D."
)
self.coordinates = basis
# ########################### get commmands ########################
def get_lattice_types(self):
"""
Returns:
"""
self.crystal_lattice_dict[self.dimension].keys().sort()
return self.crystal_lattice_dict[self.dimension].keys()
def get_dimension_of_lattice_parameters(self):
"""
Returns:
"""
# print "getDimensionOfLatticeParameters"
counter = 0
for k in self.get_needed_lattice_parameters():
if k:
counter += 1
return counter
def get_needed_lattice_parameters(self):
"""
Returns:
"""
# print "call: getNeededLatticeParams"
needed_params = [True, False, False, False, False, False]
if self.dimension == 3:
if self.bravais_lattice == "cubic":
needed_params = [
True,
False,
False,
False,
False,
False,
] # stands for alat, blat, clat, alpha, beta, gamma
elif self.bravais_lattice == "triclinic":
needed_params = [True, True, True, True, True, True]
elif self.bravais_lattice == "monoclinic":
needed_params = [True, True, True, True, False, False]
elif self.bravais_lattice == "orthorombic":
needed_params = [True, True, True, False, False, False]
elif self.bravais_lattice == "tetragonal":
needed_params = [True, False, True, False, False, False]
elif self.bravais_lattice == "rhombohedral":
needed_params = [True, False, False, True, True, True]
elif self.bravais_lattice == "hexagonal":
needed_params = [True, False, True, False, False, False]
elif self.dimension == 2:
if self.bravais_lattice == "oblique":
needed_params = [True, True, False, True, False, False]
elif self.bravais_lattice == "rectangular":
needed_params = [True, True, False, False, False, False]
elif self.bravais_lattice == "hexagonal":
needed_params = [True, False, False, False, False, False]
elif self.bravais_lattice == "square":
needed_params = [True, False, False, False, False, False]
else: # TODO: need to be improved
needed_params = [True, False, False, False, False, False]
elif self.dimension == 1:
if self.bravais_lattice == "line":
needed_params = [True, False, False, False, False, False]
else: # TODO: improval needed
needed_params = [True, False, False, False, False, False]
else:
raise ValueError("inconsistency in lattice structures")
return needed_params
def get_basis_types(self):
"""
Returns:
"""
self.crystal_lattice_dict[self.dimension].get(self.bravais_lattice).sort()
return self.crystal_lattice_dict[self.dimension].get(self.bravais_lattice)
def get_initial_lattice_constants(self):
"""
Returns:
"""
self.crystalLatticeParams[self.dimension].get(self.bravais_lattice).sort()
return (
self.crystalLatticeParams[self.dimension].get(self.bravais_lattice).sort()
)
# def getDimension(self):
# return self.dimension
# def getCoordinates(self):
# return self.coordinates
# def getCell(self):
# return self.amat
def get_atom_structure(self, rel=True):
"""
Args:
rel:
Returns:
"""
# print self.relCoords, self.amat
return Atoms(
elementList=self.ElementList,
coordinates=self.coordinates,
amat=self.amat,
tag="Crystal",
rel=rel, # self.relCoords, #rel, # true or false # coordinates are given in relative lattice units
pbc=[True, True, True][0 : self.dimension],
Crystal=self.crystalParamsDict,
)
# #################### set commands #########################
def set_lattice_constants(self, lattice_constants=None):
"""
Args:
lattice_constants:
Returns:
"""
if lattice_constants is None:
lattice_constants = [1.0]
for k in lattice_constants:
if k <= 0:
raise ValueError("negative lattice parameter(s)")
self.lattice_constants = lattice_constants
self.__updateCrystal__()
def set_element(self, element="Fe"):
"""
Args:
element:
Returns:
"""
self.element = element
self.__updateCrystal__()
def set_dimension(self, dim=3):
"""
Args:
dim:
Returns:
"""
self.dimension = dim
length = self.get_dimension_of_lattice_parameters()
if dim == 3: # # initial 3d structure
self.lattice_constants = length * [1.0]
self.bravais_lattice = "cubic"
self.bravais_basis = "primitive"
elif dim == 2: # # initial 2d structure
self.lattice_constants = length * [1.0]
self.bravais_lattice = "square"
self.bravais_basis = "primitive"
elif dim == 1: # # initial 1d structure
self.lattice_constants = length * [1.0]
self.bravais_lattice = "line"
self.bravais_basis = "primitive"
self.__updateCrystal__()
def set_lattice_type(self, name_lattice="cubic"):
"""
Args:
name_lattice:
Returns:
"""
# catch input error
# print "lattice type =", name_lattice
if name_lattice not in self.get_lattice_types():
raise ValueError("is not item of ")
else:
self.bravais_lattice = name_lattice
self.set_lattice_constants(
self.get_dimension_of_lattice_parameters() * [1.0]
)
self.set_basis_type(
name_basis=self.crystal_lattice_dict[self.dimension].get(name_lattice)[
0
]
) # initial basis type
self.__updateCrystal__()
def set_basis_type(self, name_basis="primitive"):
"""
Args:
name_basis:
Returns:
"""
if name_basis not in self.get_basis_types():
raise ValueError("is not item of")
else:
self.bravais_basis = name_basis
self.__updateCrystal__()
def atoms(self):
"""
Returns:
"""
return Atoms(
elements=self.ElementList,
scaled_positions=self.coordinates,
cell=self.amat,
pbc=[True, True, True][0 : self.dimension],
)
[docs]class CrystalStructure(object):
def __new__(cls, *args, **kwargs):
basis = _CrystalStructure(*args, **kwargs).atoms()
return basis
[docs]def ase_to_pyiron(ase_obj):
"""
Convert an ase.atoms.Atoms structure object to its equivalent pyiron structure
Args:
ase_obj(ase.atoms.Atoms): The ase atoms instance to convert
Returns:
pyiron.atomistics.structure.atoms.Atoms: The equivalent pyiron structure
"""
try:
import ase
except ImportError:
raise ValueError("ASE package not yet installed")
element_list = ase_obj.get_chemical_symbols()
cell = ase_obj.cell
positions = ase_obj.get_positions()
pbc = ase_obj.get_pbc()
spins = ase_obj.get_initial_magnetic_moments()
if all(spins == np.array(None)) or sum(np.abs(spins)) == 0.0:
pyiron_atoms = Atoms(
elements=element_list, positions=positions, pbc=pbc, cell=cell
)
else:
if any(spins == np.array(None)):
spins[spins == np.array(None)] = 0.0
pyiron_atoms = Atoms(
elements=element_list,
positions=positions,
pbc=pbc,
cell=cell,
magmoms=spins,
)
if hasattr(ase_obj, "constraints") and len(ase_obj.constraints) != 0:
for constraint in ase_obj.constraints:
constraint_dict = constraint.todict()
if constraint_dict["name"] == "FixAtoms":
if "selective_dynamics" not in pyiron_atoms._tag_list.keys():
pyiron_atoms.add_tag(selective_dynamics=[True, True, True])
pyiron_atoms.selective_dynamics[
constraint_dict["kwargs"]["indices"]
] = [False, False, False]
elif constraint_dict["name"] == "FixScaled":
if "selective_dynamics" not in pyiron_atoms._tag_list.keys():
pyiron_atoms.add_tag(selective_dynamics=[True, True, True])
pyiron_atoms.selective_dynamics[
constraint_dict["kwargs"]["a"]
] = constraint_dict["kwargs"]["mask"]
else:
warnings.warn("Unsupported ASE constraint: " + constraint_dict["name"])
return pyiron_atoms
[docs]def pyiron_to_ase(pyiron_obj):
try:
from pyiron.atomistics.structure.pyironase import ASEAtoms
except ImportError:
raise ValueError("ASE package not yet installed")
element_list = pyiron_obj.get_parent_symbols()
cell = pyiron_obj.cell
positions = pyiron_obj.positions
pbc = pyiron_obj.get_pbc()
spins = pyiron_obj.get_initial_magnetic_moments()
if all(spins == np.array(None)) or sum(np.abs(spins)) == 0.0:
atoms = ASEAtoms(symbols=element_list, positions=positions, pbc=pbc, cell=cell)
else:
if any(spins == np.array(None)):
spins[spins == np.array(None)] = 0.0
atoms = ASEAtoms(
symbols=element_list, positions=positions, pbc=pbc, cell=cell, magmoms=spins
)
return atoms
def _check_if_simple_atoms(atoms):
"""
Raise a warning if the ASE atoms object includes properties which can not be converted to pymatgen atoms.
Args:
atoms: ASE atoms object
"""
dict_keys = [
k
for k in atoms.__dict__.keys()
if k
not in ["_celldisp", "arrays", "_cell", "_pbc", "_constraints", "info", "_calc"]
]
array_keys = [
k for k in atoms.__dict__["arrays"].keys() if k not in ["numbers", "positions"]
]
if not len(dict_keys) == 0:
warnings.warn("Found unknown keys: " + str(dict_keys))
if not np.all(atoms.__dict__["_celldisp"] == np.array([[0.0], [0.0], [0.0]])):
warnings.warn("Found cell displacement: " + str(atoms.__dict__["_celldisp"]))
if not atoms.__dict__["_calc"] is None:
warnings.warn("Found calculator: " + str(atoms.__dict__["_calc"]))
if not atoms.__dict__["_constraints"] == []:
warnings.warn("Found constraint: " + str(atoms.__dict__["_constraints"]))
if not np.all(atoms.__dict__["_pbc"]):
warnings.warn("Cell is not periodic: " + str(atoms.__dict__["_pbc"]))
if not len(array_keys) == 0:
warnings.warn("Found unknown flags: " + str(array_keys))
if not atoms.__dict__["info"] == dict():
warnings.warn("Info is not empty: " + str(atoms.__dict__["info"]))
[docs]def pymatgen_to_pyiron(pymatgen_obj):
"""
Convert pymatgen atoms object to pyiron atoms object (pymatgen->ASE->pyiron)
Args:
pymatgen_obj: pymatgen atoms object
Returns:
pyiron atoms object
"""
try:
from pymatgen.io.ase import AseAtomsAdaptor
except ImportError:
raise ValueError("PyMatGen package not yet installed")
return ase_to_pyiron(AseAtomsAdaptor().get_atoms(structure=pymatgen_obj))
[docs]def pyiron_to_pymatgen(pyiron_obj):
"""
Convert pyiron atoms object to pymatgen atoms object
Args:
pyiron_obj: pyiron atoms object
Returns:
pymatgen atoms object
"""
try:
from pymatgen.io.ase import AseAtomsAdaptor
except ImportError:
raise ValueError("PyMatGen package not yet installed")
ase_atoms = pyiron_to_ase(pyiron_obj)
_check_if_simple_atoms(atoms=ase_atoms)
return AseAtomsAdaptor().get_structure(atoms=ase_atoms, cls=None)
[docs]def ovito_to_pyiron(ovito_obj):
"""
Args:
ovito_obj:
Returns:
"""
try:
from ovito.data import ase_to_pyiron
return ase_to_pyiron(ovito_obj.to_ase_atoms())
except ImportError:
raise ValueError("ovito package not yet installed")
[docs]def pyiron_to_ovito(atoms):
"""
Args:
atoms:
Returns:
"""
try:
from ovito.data import DataCollection
return DataCollection.create_from_ase_atoms(atoms)
except ImportError:
raise ValueError("ovito package not yet installed")
[docs]def string2symbols(s):
"""
Convert string to list of chemical symbols.
Args:
s:
Returns:
"""
i = None
n = len(s)
if n == 0:
return []
c = s[0]
if c.isdigit():
i = 1
while i < n and s[i].isdigit():
i += 1
return int(s[:i]) * string2symbols(s[i:])
if c == "(":
p = 0
for i, c in enumerate(s):
if c == "(":
p += 1
elif c == ")":
p -= 1
if p == 0:
break
j = i + 1
while j < n and s[j].isdigit():
j += 1
if j > i + 1:
m = int(s[i + 1 : j])
else:
m = 1
return m * string2symbols(s[1:i]) + string2symbols(s[j:])
if c.isupper():
i = 1
if 1 < n and s[1].islower():
i += 1
j = i
while j < n and s[j].isdigit():
j += 1
if j > i:
m = int(s[i:j])
else:
m = 1
return m * [s[:i]] + string2symbols(s[j:])
else:
raise ValueError
[docs]def symbols2numbers(symbols):
"""
Args:
symbols (list, str):
Returns:
"""
pse = PeriodicTable()
df = pse.dataframe.T
if isinstance(symbols, str):
symbols = string2symbols(symbols)
numbers = list()
for sym in symbols:
if isinstance(sym, string_types):
numbers.append(df[sym]["AtomicNumber"])
else:
numbers.append(sym)
return numbers
[docs]def string2vector(v):
"""
Args:
v:
Returns:
"""
if isinstance(v, str):
if v[0] == "-":
return -string2vector(v[1:])
w = np.zeros(3)
w["xyz".index(v)] = 1.0
return w
return np.array(v, float)
[docs]def default(data, dflt):
"""
Helper function for setting default values.
Args:
data:
dflt:
Returns:
"""
if data is None:
return None
elif isinstance(data, (list, tuple)):
newdata = []
allnone = True
for x in data:
if x is None:
newdata.append(dflt)
else:
newdata.append(x)
allnone = False
if allnone:
return None
return newdata
else:
return data