def orbitals(j, z):
"""[input] j: orbital type, z: atomic number, [outpout] coef: contraction coefficients, exp: contraction exponents"""
#1: 1s, 2:2s, 3:2px, 4:2py, 5:2pz, 6:3s, 7:3px, 8:3py, 9:3pz
if j == 1:
#if j <= 2:
exp = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][0]["exponents"]
coef = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][0]["coefficients"][0]
elif j > 1 and j <= 2:
exp = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][1]["exponents"]
coef = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][1]["coefficients"][0]
elif j > 2 and j <= 5:
exp = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][1]["exponents"]
coef = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][1]["coefficients"][1]
elif j > 5 and j <= 6:
exp = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][2]["exponents"]
coef = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][2]["coefficients"][0]
elif j > 6 and j <= 9:
exp = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][2]["exponents"]
coef = bse.get_basis("sto-3g")["elements"][str(
z)]["electron_shells"][2]["coefficients"][1]
else:
print("error: orbital number does not exist")
return np.array(coef), np.array(exp)
def test_slow_get_basis_1(basis_name, fmt, unc_gen, unc_seg, unc_spdf,
make_gen, opt_gen):
"""Tests getting all basis sets in all formats
and with every combination of option
Also tests memoization
"""
this_metadata = bs_metadata[basis_name]
for ver in this_metadata['versions'].keys():
bs1 = bse.get_basis(basis_name,
fmt=fmt,
version=ver,
uncontract_general=unc_gen,
uncontract_segmented=unc_seg,
uncontract_spdf=unc_spdf,
make_general=make_gen,
optimize_general=opt_gen,
header=False)
bs2 = bse.get_basis(basis_name,
fmt=fmt,
version=ver,
uncontract_general=unc_gen,
uncontract_segmented=unc_seg,
uncontract_spdf=unc_spdf,
make_general=make_gen,
optimize_general=opt_gen,
header=False)
assert bs1 == bs2
def add_custom_basis_set(self, name, add_all_elements=False, return_string=False):
"""
Appends custom basis sets (from Basis Set Exchange) to ``self.footer``. Should be used in combination with the ``gen`` keyword.
Args:
name (str): name of basis set (look it up on Basis Set Exchange)
add_all_elements (bool): whether the complete basis set should be added or just the elements of interest
return_string (bool): if the basis set should be appended to the footer or returned as a string (no change to ``self``)
Returns:
nothing (if return_string is ``False``)
string of basis set definition (if return string is ``True``)
"""
import basis_set_exchange as bse
assert isinstance(name, str), "need basis set name to be a string, for starters"
try:
basis_definition = ""
if add_all_elements:
basis_definition = bse.get_basis(name, fmt="gaussian94", header=False)
else:
elements = list(np.unique(self.get_molecule().atomic_numbers.view(np.ndarray)))
basis_definition = bse.get_basis(name, fmt="gaussian94", header=False, elements=elements)
if self.footer is None:
self.footer = basis_definition
else:
self.footer += basis_definition
self.footer += "\n"
except Exception as e:
raise ValueError(f"adding basis set {name} from basis set exchange failed!\n{e}")
def test_get_basis_4_noecp(basis_name, fmt):
"""For a sample of basis sets, test getting different formats
of the latest version
Tests writers that are NOT capable of ECP
"""
bse.get_basis(basis_name, fmt=fmt)
def test_get_basis_fail_data_dir(tmp_path):
"""Test get_basis with bad data dir """
tmp_path = str(tmp_path) # Needed for python 3.5
with pytest.raises(FileNotFoundError,
match=r'JSON file .* does not exist'):
bse.get_basis('cc-pvdz', data_dir=tmp_path)
def test_get_basis_3(basis_name, bool_opts):
"""For a sample of basis sets, test different options
"""
bse.get_basis(basis_name,
uncontract_general=bool_opts[0],
uncontract_segmented=bool_opts[1],
uncontract_spdf=bool_opts[2],
make_general=bool_opts[3],
optimize_general=bool_opts[4])
def test_get_basis_memo(basis_name):
"""For a sample of basis sets, test memoization
"""
bs1 = bse.get_basis(basis_name)
bs2 = bse.get_basis(basis_name)
# Should be equal, but not aliased
assert bs1 == bs2
assert bs1['basis_set_elements'] is not bs2['basis_set_elements']
def test_duplicate_data(bs_name, bs_ver):
'''
Test for any duplicate data in a basis set
'''
bs_dict = bse.get_basis(bs_name, version=bs_ver)
_test_duplicates(bs_dict, False)
def _format_basisset(nuclear_charges, basisset, superimposed=False):
res = ''
for atomid, nuclear_charge in enumerate(nuclear_charges):
if superimposed:
elements = set([
max(1, int(_(nuclear_charge)))
for _ in (np.round, lambda _: np.round(_ + 1),
lambda _: np.round(_ - 1))
])
else:
elements = set(
[max(1, int(_(nuclear_charge))) for _ in (np.round, )])
output = bse.get_basis(basisset,
elements=list(elements),
fmt='gaussian94')
res += '%d 0\n' % (atomid + 1)
skipnext = False
for line in output.split('\n'):
if line.startswith('!'):
skipnext = False
continue
if len(line.strip()) == 0 or line.strip() == '****':
skipnext = True
continue
if skipnext:
skipnext = False
continue
res += line + '\n'
res += '****\n'
return res.strip()
def add_basis(self, basis_name):
if basis_name in basis_dict:
basis_name = basis_dict[basis_name]
elements = self.get_elements()
atoms = [getattr(el, x) for x in elements]
basis_set = bse.get_basis(basis_name,
elements=elements,
fmt='gamess_us',
header=False)
atoms.sort(key=lambda x: x.AtomicNumber)
for i in range(len(atoms)):
name1 = atoms[i].Name.upper()
try:
name2 = atoms[i + 1].Name.upper()
except:
name2 = '$END'
a = basis_set.find(name1) + len(name1)
b = basis_set.find(name2)
atom_basis = basis_set[a:b]
self.basis[atoms[i].Symbol] = atom_basis[1:].strip('\n')
return
def _run_test_bundles(tmp_path, fmt, reffmt, ext, data_dir):
'''Test functionality related to creating archive of basis set'''
tmp_path = str(tmp_path) # Needed for python 3.5
bs_ext = bse.writers.get_format_extension(fmt)
ref_ext = bse.refconverters.get_format_extension(reffmt)
filename = "bundletest_" + fmt + "_" + reffmt + ext
filepath = os.path.join(tmp_path, filename)
bse.create_bundle(filepath, fmt, reffmt, None, data_dir)
extract_dir = "extract_" + filename
extract_path = os.path.join(tmp_path, extract_dir)
_extract_all(filepath, extract_path)
# Keep track of all the basis sets we have found
# Start with all found in the data dir, and remove
# each time we process one
all_bs = []
for k, v in bse.get_metadata(data_dir).items():
for ver in v['versions'].keys():
all_bs.append((k, ver))
all_ref = all_bs.copy()
for root, dirs, files in os.walk(extract_path):
for basename in files:
if basename == 'README.txt':
continue
fpath = os.path.join(root, basename)
name, ver = basename.split('.')[:2]
tr_name = bse.misc.basis_name_from_filename(name)
if basename.endswith('.ref' + ref_ext):
compare_data = bse.get_references(tr_name,
fmt=reffmt,
version=ver,
data_dir=data_dir)
all_ref.remove((name, ver))
elif basename.endswith(bs_ext):
compare_data = bse.get_basis(name,
fmt=fmt,
version=ver,
data_dir=data_dir)
all_bs.remove((name, ver))
elif basename.endswith('.family_notes'):
compare_data = bse.get_family_notes(name, data_dir)
elif basename.endswith('.notes'):
compare_data = bse.get_basis_notes(name, data_dir)
else:
raise RuntimeError("Unknown file found: " + fpath)
with open(fpath, 'r', encoding='utf-8') as ftmp:
assert compare_data == ftmp.read()
assert len(all_bs) == 0
assert len(all_ref) == 0
def parse_basis(self):
"""Get the properties of all the orbitals in the molecule."""
# number of orbs
self.norb = 0
# loop over all the atoms
for at in self.atoms:
at_num = element(at).atomic_number
self.nshells.append(0)
# import data
data = json.loads(bse.get_basis(
self.basis, elements=[at_num], fmt='JSON'))
# loop over the electronic shells
for ishell, shell in enumerate(
data['elements'][str(at_num)]['electron_shells']):
# get the primary number
n = ishell
# loop over the angular momentum
for iangular, angular in enumerate(
shell['angular_momentum']):
# secondary qn and multiplicity
l = angular
mult = self.mult_bas[self.get_label[angular]]
nbas = len(shell['exponents'])
mvals = self.get_m[self.get_label[angular]]
for imult in range(mult):
self.norb += 1
# store coeffs and exps of the bas
self.bas_exp += (
np.array(
shell['exponents']).astype('float')).tolist()
self.bas_coeffs += np.array(
shell['coefficients'][iangular]).astype('float').tolist()
# index of the contraction
self.index_ctr += [self.norb - 1] * nbas
# store the quantum numbers
self.bas_n += [n] * nbas
self.bas_l += [l] * nbas
self.bas_m += [mvals[imult]] * nbas
# number of shells
self.nshells[-1] += mult * nbas
def basis(self, basis: str = "STO-3G"):
# Obtain the basis set in nwchem format (as a string)
atoms = self.atoms
basis = bse.get_basis(basis, elements=atoms, fmt='nwchem')
ob = "d*[spdf]"
parsed_basis = re.findall(
f"-> \\[(\\{ob},*\\{ob}*,*\\{ob}*)\\]\n(\\w+)", basis)
assert len(atoms) == len(parsed_basis), \
f"Cannot parse basis: number of atoms does not match result: \
{basis}"
return dict(zip(atoms, parsed_basis))
def test_get_basis_2(basis_name):
"""For all versions of basis sets, test a simple get_basis
with different element selections
"""
this_metadata = bs_metadata[basis_name]
latest = this_metadata['latest_version']
avail_elements = this_metadata['versions'][latest]['elements']
nelements = random.randint(1, len(avail_elements))
selected_elements = random.sample(avail_elements, nelements)
# Change some selected elements to strings
for idx in range(len(selected_elements)):
if idx % 3 == 1:
selected_elements[idx] = bse.lut.element_sym_from_Z(selected_elements[idx])
elif idx % 3 == 2:
selected_elements[idx] = str(selected_elements[idx])
bs = bse.get_basis(basis_name, elements=selected_elements)
assert len(bs['elements']) == len(selected_elements)
# Try to get as an integer
bs = bse.get_basis(basis_name, elements=int(selected_elements[0]))
assert len(bs['elements']) == 1
def test_write_basis_file_noecp(bs_name, bs_fmt, as_bz2, tmp_path):
'''Test writing a basis set to a file'''
tmp_path = str(tmp_path) # Needed for python 3.5
bs_data = bse.get_basis(bs_name)
out_file = bse.misc.basis_name_to_filename(bs_name)
out_file += bse.writers.get_format_extension(bs_fmt)
if as_bz2:
out_file += '.bz2'
outfile_path = os.path.join(tmp_path, out_file)
bse.writers.write_formatted_basis_file(bs_data, outfile_path, bs_fmt)
def test_convert_slow(basis_name, fmt_from, fmt_to, tmp_path):
tmp_path = str(tmp_path) # Needed for python 3.5
# First, get the basis set in the format we want to read from
bs_data = bse.get_basis(basis_name)
in_file = bse.misc.basis_name_to_filename(basis_name)
in_file += '.{}{}'.format(fmt_from, bse.writers.get_format_extension(fmt_from))
in_file_path = os.path.join(tmp_path, in_file)
bse.writers.write_formatted_basis_file(bs_data, in_file_path, fmt_from)
# Now attempt the conversion
out_file_path = in_file_path + '.{}{}'.format(fmt_to, bse.writers.get_format_extension(fmt_to))
convert.convert_formatted_basis_file(in_file_path, out_file_path, fmt_from, fmt_to)
def test_duplicate_slow(bs_name, bs_ver, unc_gen, unc_seg, unc_spdf, opt_gen,
make_gen):
'''
Test for any duplicate data in a basis set
'''
bs_dict = bse.get_basis(bs_name,
version=bs_ver,
uncontract_general=unc_gen,
uncontract_segmented=unc_seg,
uncontract_spdf=unc_spdf,
make_general=make_gen,
optimize_general=opt_gen)
_test_duplicates(bs_dict, False)
def get_basis(self):
atom_types = set([i['label'] for i in self.geometry])
zs = [ATOMIC_NUMBER[i] for i in atom_types]
bs = bse.get_basis(self.basis, elements=zs)
self.bs = bs
basis_set = dict()
orbitals = []
for element in atom_types:
basis_set[element] = []
bs_data = bs['elements'][str(
ATOMIC_NUMBER[element])]['electron_shells']
for shell in bs_data:
exps = list(map(np.float64, shell['exponents']))
for i, momentum in \
enumerate(shell['angular_momentum']):
shells = []
if momentum == 0:
shells.append((0, 0, 0))
elif momentum == 1:
shells.append((1, 0, 0))
shells.append((0, 1, 0))
shells.append((0, 0, 1))
elif momentum == 2:
shells.append((2, 0, 0))
shells.append((0, 2, 0))
shells.append((0, 0, 2))
shells.append((1, 1, 0))
shells.append((1, 0, 1))
shells.append((0, 1, 1))
coefs = list(map(np.float64, shell['coefficients'][i]))
basis_set[element].append({
'shells': shells,
'exps': exps,
'coefs': coefs,
})
self.basis_set = basis_set
def _molecularInit(self):
self.Int = {
"overlap": None,
"kinet": None,
"nucAttr": None,
"twoEle": None
}
self.AO = []
try:
basisKind = self.molecular.basis
except NotImplementedError:
raise NotImplementedError("No basis defined for {}".format(
self.molecular.mol_name))
for index, elem in enumerate(self.molecular.atom_name_list):
_elem = ELEMENTS[elem]
basis = bse.get_basis(basisKind, elem, header=False)
n_Obital = {"s": 0, "p": 0, "d": 0, "f": 0, "g": 0}
for ele_key, ele_value in basis['elements'].items(
): # travel all elements(actually one)
# store numPrime of orbitals
for shell_value in ele_value[
'electron_shells']: # travel all electron shells
for i, magOrbit in enumerate(
shell_value['coefficients']
): # travel all groups of coeff
angul = shell_value['angular_momentum'][i]
for indexlNum, lNum in enumerate(
lListDict[angulName[angul]]):
n_Obital[angulName[angul]] += 1
self.AO.append(
AO(id="{}_{}{}{}".format(
list(self.molecular.atom_geom_dict.keys())
[index], n_Obital["s"], angulName[angul],
lListNameDict[
angulName[angul]][indexlNum]),
z=_elem.number,
r=list(
self.molecular.atom_geom_dict.values())
[index],
angum=angul,
l=lNum,
norm=np.array([1., 1., 1.]),
coef=np.array([float(i) for i in magOrbit]),
expon=np.array([
float(i)
for i in shell_value['exponents']
])))
def get_basis(basis_name, elements_identity, input_format='json', output_format="matrix"):
'''
Get basis values from BSE(basis_set_exchange) database.
:param basis_name: str
Name of the basis, such as "6-31G", "6-31+g*".
It is not case sensitive.
Check `basis_set_exchange.api` for more information.
:param elements_identity: str or list
List of elements that you want the basis set for.
:param input_format: str
"json" for now.
:param output_format: str
"matrix" as default.
This defines the Output basis set format in the return value of the dict.
# TODO (@saltball) Maybe before 2020/03 : More formats as interfaces to be done. Maybe numpy.array, pytorch.Tensor and so on.
:return: {"element_name":[`object_of_the_basis`],...}
The value of the dict depends on the parameter `output_format`.
'''
if input_format == "json":
basis_json = bse.get_basis(basis_name, elements_identity, fmt='json', header=False)
return _resolve_basis_from_json(basis_json, output_format)
def uncontract_dfunctions(basname='3-21g', atomic_symbol='He'):
"""Fetch 3-21G from basis set exchange and uncontract d-functions if present."""
# Fetch basis set in NWChem format from BSE.
bas = bse.get_basis(name=basname,
elements=[atomic_symbol],
fmt='nwchem',
header=True)
atom = mendeleev.element(atomic_symbol)
# No need to uncontract d-functions when there are none
# Note: For polarized basis sets this will not work
# (3-21G does not contain polarization functions)
if atom.atomic_number < 21:
return bas
# Get the d function exponents
# (not very pretty)
lines = bas.splitlines()
d_exp = []
for i, line in enumerate(lines):
if line.strip().startswith(atomic_symbol) and line.split()[1] == 'D':
for j, subline in enumerate(lines[i:]):
if atomic_symbol in subline:
continue
elif 'END' in subline:
break
else:
d_exp.append(float(subline.split()[0]))
break
# Build the custom basis set
new = [
line for line in lines if 'D' not in line.split() and 'END' not in line
][:-len(d_exp)]
for e in d_exp:
new.append(f'{atomic_symbol} D')
new.append(f'{" "*(len(atomic_symbol)+4)}{e:.10f} {1:.10f}')
new.append('END')
return '\n'.join(new)
def new_atom_grid_bse(radial_precision, min_num_angular_points,
max_num_angular_points, proton_charge, basis_set):
bse_json = basis_set_exchange.get_basis(basis_set,
elements=[proton_charge],
fmt='json',
header=False)
data = json.loads(bse_json)
max_l_quantum_number = 0
alpha_max = -sys.float_info.max
alpha_min_dict = defaultdict(lambda: sys.float_info.max)
for shell in data['elements'][str(proton_charge)]['electron_shells']:
l = shell['angular_momentum'][0]
max_l_quantum_number = max(max_l_quantum_number, l)
for exponent in shell['exponents']:
alpha_max = max(alpha_max, float(exponent))
alpha_min_dict[l] = min(alpha_min_dict[l], float(exponent))
alpha_min = [alpha_min_dict[l] for l in range(0, max_l_quantum_number + 1)]
return new_atom_grid(radial_precision, min_num_angular_points,
max_num_angular_points, proton_charge, alpha_max,
max_l_quantum_number, alpha_min)
def main():
d = {}
for basisset_name, meta in basis_set_exchange.get_metadata().items():
basisset = {}
elements = basis_set_exchange.get_basis(
basisset_name)['basis_set_elements']
try:
for Z in meta['versions'][meta['latest_version']]['elements']:
element = basis_set_exchange.lut.element_data_from_Z(
Z)[0].capitalize()
shells = elements[Z].get('element_electron_shells')
if shells is None:
raise ValueError('no shells: {}/{}'.format(
basisset_name, element))
basisset[element] = number_of_functions(shells)
except ValueError as e:
print(e, file=sys.stderr)
else:
d[basisset_name] = basisset
json.dump(d, sys.stdout)
def get_element_nbasis_map(basis_set_name: str) -> Dict[str, int]:
"""Returns a map of element to number of basis functions for a given basis set"""
basis = bse.get_basis(basis_set_name, uncontract_general=1, header=False)
element_nbasis_map = {}
for atomic_nr_str in basis["elements"]:
atomic_nr = int(atomic_nr_str)
element = qcelemental.periodictable.to_E(atomic_nr)
shells = []
for shell in basis["elements"][atomic_nr_str]["electron_shells"]:
shell.pop("region")
ft = shell.pop("function_type")
if ft in ["gto", "gto_spherical"]:
shell["harmonic_type"] = "spherical"
elif ft == "gto_cartesian":
shell["harmonic_type"] = "cartesian"
else:
raise ValueError(
f"Can't determine harmonic type from function type: {ft}")
shells.append(qcelemental.models.basis.ElectronShell(**shell))
element_nbasis_map[element] = sum(
[shell.nfunctions() for shell in shells])
return element_nbasis_map
def element_to_num_AO(symbol, basis_set):
parsed_basis_set = basis_set
if basis_set.lower() == "lacvps_ecp" or basis_set.lower() == "lacvp*_ecp":
atomic_num = qcel.periodictable.to_atomic_number(symbol)
if atomic_num <= 18:
parsed_basis_set = "6-31g*"
else:
parsed_basis_set = "lanl2dz"
basis_str = basis_set_exchange.get_basis(parsed_basis_set,
elements=[symbol],
fmt='turbomole',
header=False)
basis_lines = basis_str.split('\n')
AO = 0
for line in basis_lines:
mobj = re.search(r'\s+\d+\s+[a-z]+', line)
if mobj:
if line.split()[1] == "s":
AO += 1
if line.split()[1] == "p":
AO += 3
if line.split()[1] == "d":
AO += 6
return AO
def test_get_basis_fail_version(version):
"""Test get_basis with bad versions """
with pytest.raises(KeyError, match=r'Version .* does not exist for basis'):
bse.get_basis('cc-pvdz', version=version)
def test_get_basis_fail_fmt(fmt):
"""Test get_basis with bad formats """
with pytest.raises(RuntimeError, match=r'Unknown basis set format'):
bse.get_basis('cc-pvdz', fmt=fmt)
def test_get_basis_fail_elements(elements):
"""Test get_basis with bad elements """
with pytest.raises(KeyError, match=r'Element.*not found in basis'):
bse.get_basis('cc-pvdz', elements=elements)
def test_get_basis_fail_name(basis_name):
"""Test get_basis with bad names """
with pytest.raises(KeyError, match=r'Basis set.*does not exist'):
bse.get_basis(basis_name)
"lanl08+" : "LANL08+",
"lanl08d" : "LANL08(d)",
"lanl08f" : "LANL08(f)",
"m6-31g" : "m6-31G",
"may-cc-pv_q+d_z" : "may-cc-pV(Q+d)Z",
"may-cc-pv_t+d_z" : "may-cc-pV(T+d)Z",
"midi_bang" : "MIDI!",
"midi_huzinaga" : "MIDI",
"mini" : "MINI",
"pv6z" : "pV6Z",
"pv7z" : "pV7Z",
"pvdz_ahlrichs" : "Ahlrichs pVDZ",
"sto-2g" : "STO-2G",
"sto-3g" : "STO-3G",
"sto-4g" : "STO-4G",
"sto-5g" : "STO-5G",
"sto-6g" : "STO-6G",
"sto-3g_star" : "STO-3G*",
}
import basis_set_exchange as bse
for filename in conversion.keys():
print(filename)
data = bse.get_basis(conversion[filename], fmt='gamess_us',uncontract_general=True,uncontract_spdf=True)
with open(filename,'w') as f:
f.write(data)