def initialize_wave_functions_from_basis_functions(self,
basis_functions,
density, hamiltonian,
spos_ac):
if 0:
self.timer.start('Random wavefunction initialization')
for kpt in self.kpt_u:
kpt.psit_nG = self.gd.zeros(self.mynbands, self.dtype)
if extra_parameters.get('sic'):
kpt.W_nn = np.zeros((self.nbands, self.nbands),
dtype=self.dtype)
self.random_wave_functions(0)
self.timer.stop('Random wavefunction initialization')
return
self.timer.start('LCAO initialization')
lcaoksl, lcaobd = self.initksl, self.initksl.bd
lcaowfs = LCAOWaveFunctions(lcaoksl, self.gd, self.nvalence,
self.setups, lcaobd, self.dtype,
self.world, self.kd)
lcaowfs.basis_functions = basis_functions
lcaowfs.timer = self.timer
self.timer.start('Set positions (LCAO WFS)')
lcaowfs.set_positions(spos_ac)
self.timer.stop('Set positions (LCAO WFS)')
eigensolver = get_eigensolver('lcao', 'lcao')
eigensolver.initialize(self.gd, self.dtype, self.setups.nao, lcaoksl)
# XXX when density matrix is properly distributed, be sure to
# update the density here also
eigensolver.iterate(hamiltonian, lcaowfs)
# Transfer coefficients ...
for kpt, lcaokpt in zip(self.kpt_u, lcaowfs.kpt_u):
kpt.C_nM = lcaokpt.C_nM
# and get rid of potentially big arrays early:
del eigensolver, lcaowfs
self.timer.start('LCAO to grid')
for kpt in self.kpt_u:
kpt.psit_nG = self.gd.zeros(self.mynbands, self.dtype)
if extra_parameters.get('sic'):
kpt.W_nn = np.zeros((self.nbands, self.nbands),
dtype=self.dtype)
basis_functions.lcao_to_grid(kpt.C_nM,
kpt.psit_nG[:lcaobd.mynbands], kpt.q)
kpt.C_nM = None
self.timer.stop('LCAO to grid')
if self.mynbands > lcaobd.mynbands:
# Add extra states. If the number of atomic orbitals is
# less than the desired number of bands, then extra random
# wave functions are added.
self.random_wave_functions(lcaobd.mynbands)
self.timer.stop('LCAO initialization')
def initialize_wave_functions_from_basis_functions(self, basis_functions,
density, hamiltonian,
spos_ac):
if 0:
self.timer.start('Random wavefunction initialization')
for kpt in self.kpt_u:
kpt.psit_nG = self.gd.zeros(self.mynbands, self.dtype)
if extra_parameters.get('sic'):
kpt.W_nn = np.zeros((self.nbands, self.nbands),
dtype=self.dtype)
self.random_wave_functions(0)
self.timer.stop('Random wavefunction initialization')
return
self.timer.start('LCAO initialization')
lcaoksl, lcaobd = self.initksl, self.initksl.bd
lcaowfs = LCAOWaveFunctions(lcaoksl, self.gd, self.nvalence,
self.setups, lcaobd, self.dtype,
self.world, self.kd)
lcaowfs.basis_functions = basis_functions
lcaowfs.timer = self.timer
self.timer.start('Set positions (LCAO WFS)')
lcaowfs.set_positions(spos_ac)
self.timer.stop('Set positions (LCAO WFS)')
eigensolver = get_eigensolver('lcao', 'lcao')
eigensolver.initialize(self.gd, self.dtype, self.setups.nao, lcaoksl)
# XXX when density matrix is properly distributed, be sure to
# update the density here also
eigensolver.iterate(hamiltonian, lcaowfs)
# Transfer coefficients ...
for kpt, lcaokpt in zip(self.kpt_u, lcaowfs.kpt_u):
kpt.C_nM = lcaokpt.C_nM
# and get rid of potentially big arrays early:
del eigensolver, lcaowfs
self.timer.start('LCAO to grid')
for kpt in self.kpt_u:
kpt.psit_nG = self.gd.zeros(self.mynbands, self.dtype)
if extra_parameters.get('sic'):
kpt.W_nn = np.zeros((self.nbands, self.nbands),
dtype=self.dtype)
basis_functions.lcao_to_grid(kpt.C_nM,
kpt.psit_nG[:lcaobd.mynbands], kpt.q)
kpt.C_nM = None
self.timer.stop('LCAO to grid')
if self.mynbands > lcaobd.mynbands:
# Add extra states. If the number of atomic orbitals is
# less than the desired number of bands, then extra random
# wave functions are added.
self.random_wave_functions(lcaobd.mynbands)
self.timer.stop('LCAO initialization')
def create_eigensolver(self, xc, nbands, mode):
# Number of bands to converge:
nbands_converge = self.parameters.convergence.get('bands', 'occupied')
if nbands_converge == 'all':
nbands_converge = nbands
elif nbands_converge != 'occupied':
assert isinstance(nbands_converge, int)
if nbands_converge < 0:
nbands_converge += nbands
eigensolver = get_eigensolver(self.parameters.eigensolver, mode,
self.parameters.convergence)
eigensolver.nbands_converge = nbands_converge
# XXX Eigensolver class doesn't define an nbands_converge property
if isinstance(xc, SIC):
eigensolver.blocksize = 1
self.wfs.set_eigensolver(eigensolver)
self.log(self.wfs.eigensolver, '\n')
def initialize_wave_functions_from_basis_functions(self, basis_functions, density, hamiltonian, spos_ac):
if self.initksl is None:
raise RuntimeError("use fewer bands or more basis functions")
self.timer.start("LCAO initialization")
lcaoksl, lcaobd = self.initksl, self.initksl.bd
lcaowfs = LCAOWaveFunctions(
lcaoksl, self.gd, self.nvalence, self.setups, lcaobd, self.dtype, self.world, self.kd
)
lcaowfs.basis_functions = basis_functions
lcaowfs.timer = self.timer
self.timer.start("Set positions (LCAO WFS)")
lcaowfs.set_positions(spos_ac)
self.timer.stop("Set positions (LCAO WFS)")
eigensolver = get_eigensolver("lcao", "lcao")
eigensolver.initialize(self.gd, self.dtype, self.setups.nao, lcaoksl)
# XXX when density matrix is properly distributed, be sure to
# update the density here also
eigensolver.iterate(hamiltonian, lcaowfs)
# Transfer coefficients ...
for kpt, lcaokpt in zip(self.kpt_u, lcaowfs.kpt_u):
kpt.C_nM = lcaokpt.C_nM
# and get rid of potentially big arrays early:
del eigensolver, lcaowfs
self.timer.start("LCAO to grid")
self.initialize_from_lcao_coefficients(basis_functions, lcaobd.mynbands)
self.timer.stop("LCAO to grid")
if self.bd.mynbands > lcaobd.mynbands:
# Add extra states. If the number of atomic orbitals is
# less than the desired number of bands, then extra random
# wave functions are added.
self.random_wave_functions(lcaobd.mynbands)
self.timer.stop("LCAO initialization")
def initialize(self, atoms=None):
"""Inexpensive initialization."""
if atoms is None:
atoms = self.atoms
else:
# Save the state of the atoms:
self.atoms = atoms.copy()
par = self.input_parameters
world = par.communicator
if world is None:
world = mpi.world
elif hasattr(world, 'new_communicator'):
# Check for whether object has correct type already
#
# Using isinstance() is complicated because of all the
# combinations, serial/parallel/debug...
pass
else:
# world should be a list of ranks:
world = mpi.world.new_communicator(np.asarray(world))
self.wfs.world = world
self.set_text(par.txt, par.verbose)
natoms = len(atoms)
cell_cv = atoms.get_cell() / Bohr
pbc_c = atoms.get_pbc()
Z_a = atoms.get_atomic_numbers()
magmom_av = atoms.get_initial_magnetic_moments()
# Generate new xc functional only when it is reset by set
if self.hamiltonian is None or self.hamiltonian.xc is None:
if isinstance(par.xc, str):
xc = XC(par.xc)
else:
xc = par.xc
else:
xc = self.hamiltonian.xc
mode = par.mode
if xc.orbital_dependent and mode == 'lcao':
raise NotImplementedError('LCAO mode does not support '
'orbital-dependent XC functionals.')
if mode == 'pw':
mode = PW()
if mode == 'fd' and par.usefractrans:
raise NotImplementedError('FD mode does not support '
'fractional translations.')
if mode == 'lcao' and par.usefractrans:
raise Warning('Fractional translations have not been tested '
'with LCAO mode. Use with care!')
if par.realspace is None:
realspace = not isinstance(mode, PW)
else:
realspace = par.realspace
if isinstance(mode, PW):
assert not realspace
if par.gpts is not None:
N_c = np.array(par.gpts)
else:
h = par.h
if h is not None:
h /= Bohr
N_c = get_number_of_grid_points(cell_cv, h, mode, realspace)
if par.filter is None and not isinstance(mode, PW):
gamma = 1.6
hmax = ((np.linalg.inv(cell_cv)**2).sum(0)**-0.5 / N_c).max()
def filter(rgd, rcut, f_r, l=0):
gcut = np.pi / hmax - 2 / rcut / gamma
f_r[:] = rgd.filter(f_r, rcut * gamma, gcut, l)
else:
filter = par.filter
setups = Setups(Z_a, par.setups, par.basis, par.lmax, xc,
filter, world)
if magmom_av.ndim == 1:
collinear = True
magmom_av, magmom_a = np.zeros((natoms, 3)), magmom_av
magmom_av[:, 2] = magmom_a
else:
collinear = False
magnetic = magmom_av.any()
spinpol = par.spinpol
if par.hund:
if natoms != 1:
raise ValueError('hund=True arg only valid for single atoms!')
spinpol = True
magmom_av[0] = (0, 0, setups[0].get_hunds_rule_moment(par.charge))
if spinpol is None:
spinpol = magnetic
elif magnetic and not spinpol:
raise ValueError('Non-zero initial magnetic moment for a ' +
'spin-paired calculation!')
if collinear:
nspins = 1 + int(spinpol)
ncomp = 1
else:
nspins = 1
ncomp = 2
# K-point descriptor
bzkpts_kc = kpts2ndarray(par.kpts, self.atoms)
kd = KPointDescriptor(bzkpts_kc, nspins, collinear, par.usefractrans)
width = par.width
if width is None:
if pbc_c.any():
width = 0.1 # eV
else:
width = 0.0
else:
assert par.occupations is None
if hasattr(self, 'time') or par.dtype == complex:
dtype = complex
else:
if kd.gamma:
dtype = float
else:
dtype = complex
## rbw: If usefractrans=True, kd.set_symmetry might overwrite N_c.
## This is necessary, because N_c must be dividable by 1/(fractional translation),
## f.e. fractional translations of a grid point must land on a grid point.
N_c = kd.set_symmetry(atoms, setups, magmom_av, par.usesymm, N_c, world)
nao = setups.nao
nvalence = setups.nvalence - par.charge
M_v = magmom_av.sum(0)
M = np.dot(M_v, M_v)**0.5
nbands = par.nbands
if nbands is None:
nbands = 0
for setup in setups:
nbands_from_atom = setup.get_default_nbands()
# Any obscure setup errors?
if nbands_from_atom < -(-setup.Nv // 2):
raise ValueError('Bad setup: This setup requests %d'
' bands but has %d electrons.'
% (nbands_from_atom, setup.Nv))
nbands += nbands_from_atom
nbands = min(nao, nbands)
elif nbands > nao and mode == 'lcao':
raise ValueError('Too many bands for LCAO calculation: '
'%d bands and only %d atomic orbitals!' %
(nbands, nao))
if nvalence < 0:
raise ValueError(
'Charge %f is not possible - not enough valence electrons' %
par.charge)
if nbands <= 0:
nbands = int(nvalence + M + 0.5) // 2 + (-nbands)
if nvalence > 2 * nbands:
raise ValueError('Too few bands! Electrons: %f, bands: %d'
% (nvalence, nbands))
nbands *= ncomp
if par.width is not None:
self.text('**NOTE**: please start using '
'occupations=FermiDirac(width).')
if par.fixmom:
self.text('**NOTE**: please start using '
'occupations=FermiDirac(width, fixmagmom=True).')
if self.occupations is None:
if par.occupations is None:
# Create object for occupation numbers:
self.occupations = occupations.FermiDirac(width, par.fixmom)
else:
self.occupations = par.occupations
self.occupations.magmom = M_v[2]
cc = par.convergence
if mode == 'lcao':
niter_fixdensity = 0
else:
niter_fixdensity = None
if self.scf is None:
self.scf = SCFLoop(
cc['eigenstates'] / Hartree**2 * nvalence,
cc['energy'] / Hartree * max(nvalence, 1),
cc['density'] * nvalence,
par.maxiter, par.fixdensity,
niter_fixdensity)
parsize_kpt = par.parallel['kpt']
parsize_domain = par.parallel['domain']
parsize_bands = par.parallel['band']
if not realspace:
pbc_c = np.ones(3, bool)
if not self.wfs:
if parsize_domain == 'domain only': # XXX this was silly!
parsize_domain = world.size
parallelization = mpi.Parallelization(world,
nspins * kd.nibzkpts)
ndomains = None
if parsize_domain is not None:
ndomains = np.prod(parsize_domain)
if isinstance(mode, PW):
if ndomains > 1:
raise ValueError('Planewave mode does not support '
'domain decomposition.')
ndomains = 1
parallelization.set(kpt=parsize_kpt,
domain=ndomains,
band=parsize_bands)
domain_comm, kpt_comm, band_comm = \
parallelization.build_communicators()
#domain_comm, kpt_comm, band_comm = mpi.distribute_cpus(
# parsize_domain, parsize_bands,
# nspins, kd.nibzkpts, world, par.idiotproof, mode)
kd.set_communicator(kpt_comm)
parstride_bands = par.parallel['stridebands']
# Unfortunately we need to remember that we adjusted the
# number of bands so we can print a warning if it differs
# from the number specified by the user. (The number can
# be inferred from the input parameters, but it's tricky
# because we allow negative numbers)
self.nbands_parallelization_adjustment = -nbands % band_comm.size
nbands += self.nbands_parallelization_adjustment
# I would like to give the following error message, but apparently
# there are cases, e.g. gpaw/test/gw_ppa.py, which involve
# nbands > nao and are supposed to work that way.
#if nbands > nao:
# raise ValueError('Number of bands %d adjusted for band '
# 'parallelization %d exceeds number of atomic '
# 'orbitals %d. This problem can be fixed '
# 'by reducing the number of bands a bit.'
# % (nbands, band_comm.size, nao))
bd = BandDescriptor(nbands, band_comm, parstride_bands)
if (self.density is not None and
self.density.gd.comm.size != domain_comm.size):
# Domain decomposition has changed, so we need to
# reinitialize density and hamiltonian:
if par.fixdensity:
raise RuntimeError('Density reinitialization conflict ' +
'with "fixdensity" - specify domain decomposition.')
self.density = None
self.hamiltonian = None
# Construct grid descriptor for coarse grids for wave functions:
gd = self.grid_descriptor_class(N_c, cell_cv, pbc_c,
domain_comm, parsize_domain)
# do k-point analysis here? XXX
args = (gd, nvalence, setups, bd, dtype, world, kd, self.timer)
if par.parallel['sl_auto']:
# Choose scalapack parallelization automatically
for key, val in par.parallel.items():
if (key.startswith('sl_') and key != 'sl_auto'
and val is not None):
raise ValueError("Cannot use 'sl_auto' together "
"with '%s'" % key)
max_scalapack_cpus = bd.comm.size * gd.comm.size
nprow = max_scalapack_cpus
npcol = 1
# Get a sort of reasonable number of columns/rows
while npcol < nprow and nprow % 2 == 0:
npcol *= 2
nprow //= 2
assert npcol * nprow == max_scalapack_cpus
# ScaLAPACK creates trouble if there aren't at least a few
# whole blocks; choose block size so there will always be
# several blocks. This will crash for small test systems,
# but so will ScaLAPACK in any case
blocksize = min(-(-nbands // 4), 64)
sl_default = (nprow, npcol, blocksize)
else:
sl_default = par.parallel['sl_default']
if mode == 'lcao':
# Layouts used for general diagonalizer
sl_lcao = par.parallel['sl_lcao']
if sl_lcao is None:
sl_lcao = sl_default
lcaoksl = get_KohnSham_layouts(sl_lcao, 'lcao',
gd, bd, dtype,
nao=nao, timer=self.timer)
if collinear:
self.wfs = LCAOWaveFunctions(lcaoksl, *args)
else:
from gpaw.xc.noncollinear import \
NonCollinearLCAOWaveFunctions
self.wfs = NonCollinearLCAOWaveFunctions(lcaoksl, *args)
elif mode == 'fd' or isinstance(mode, PW):
# buffer_size keyword only relevant for fdpw
buffer_size = par.parallel['buffer_size']
# Layouts used for diagonalizer
sl_diagonalize = par.parallel['sl_diagonalize']
if sl_diagonalize is None:
sl_diagonalize = sl_default
diagksl = get_KohnSham_layouts(sl_diagonalize, 'fd',
gd, bd, dtype,
buffer_size=buffer_size,
timer=self.timer)
# Layouts used for orthonormalizer
sl_inverse_cholesky = par.parallel['sl_inverse_cholesky']
if sl_inverse_cholesky is None:
sl_inverse_cholesky = sl_default
if sl_inverse_cholesky != sl_diagonalize:
message = 'sl_inverse_cholesky != sl_diagonalize ' \
'is not implemented.'
raise NotImplementedError(message)
orthoksl = get_KohnSham_layouts(sl_inverse_cholesky, 'fd',
gd, bd, dtype,
buffer_size=buffer_size,
timer=self.timer)
# Use (at most) all available LCAO for initialization
lcaonbands = min(nbands, nao)
try:
lcaobd = BandDescriptor(lcaonbands, band_comm,
parstride_bands)
except RuntimeError:
initksl = None
else:
# Layouts used for general diagonalizer
# (LCAO initialization)
sl_lcao = par.parallel['sl_lcao']
if sl_lcao is None:
sl_lcao = sl_default
initksl = get_KohnSham_layouts(sl_lcao, 'lcao',
gd, lcaobd, dtype,
nao=nao,
timer=self.timer)
if hasattr(self, 'time'):
assert mode == 'fd'
from gpaw.tddft import TimeDependentWaveFunctions
self.wfs = TimeDependentWaveFunctions(par.stencils[0],
diagksl, orthoksl, initksl, gd, nvalence, setups,
bd, world, kd, self.timer)
elif mode == 'fd':
self.wfs = FDWaveFunctions(par.stencils[0], diagksl,
orthoksl, initksl, *args)
else:
# Planewave basis:
self.wfs = mode(diagksl, orthoksl, initksl, *args)
else:
self.wfs = mode(self, *args)
else:
self.wfs.set_setups(setups)
if not self.wfs.eigensolver:
# Number of bands to converge:
nbands_converge = cc['bands']
if nbands_converge == 'all':
nbands_converge = nbands
elif nbands_converge != 'occupied':
assert isinstance(nbands_converge, int)
if nbands_converge < 0:
nbands_converge += nbands
eigensolver = get_eigensolver(par.eigensolver, mode,
par.convergence)
eigensolver.nbands_converge = nbands_converge
# XXX Eigensolver class doesn't define an nbands_converge property
if isinstance(xc, SIC):
eigensolver.blocksize = 1
self.wfs.set_eigensolver(eigensolver)
if self.density is None:
gd = self.wfs.gd
if par.stencils[1] != 9:
# Construct grid descriptor for fine grids for densities
# and potentials:
finegd = gd.refine()
else:
# Special case (use only coarse grid):
finegd = gd
if realspace:
self.density = RealSpaceDensity(
gd, finegd, nspins, par.charge + setups.core_charge,
collinear, par.stencils[1])
else:
self.density = ReciprocalSpaceDensity(
gd, finegd, nspins, par.charge + setups.core_charge,
collinear)
self.density.initialize(setups, self.timer, magmom_av, par.hund)
self.density.set_mixer(par.mixer)
if self.hamiltonian is None:
gd, finegd = self.density.gd, self.density.finegd
if realspace:
self.hamiltonian = RealSpaceHamiltonian(
gd, finegd, nspins, setups, self.timer, xc, par.external,
collinear, par.poissonsolver, par.stencils[1], world)
else:
self.hamiltonian = ReciprocalSpaceHamiltonian(
gd, finegd,
self.density.pd2, self.density.pd3,
nspins, setups, self.timer, xc, par.external,
collinear, world)
xc.initialize(self.density, self.hamiltonian, self.wfs,
self.occupations)
self.text()
self.print_memory_estimate(self.txt, maxdepth=memory_estimate_depth)
self.txt.flush()
self.timer.print_info(self)
if dry_run:
self.dry_run()
self.initialized = True
def initialize(self, atoms=None):
"""Inexpensive initialization."""
if atoms is None:
atoms = self.atoms
else:
# Save the state of the atoms:
self.atoms = atoms.copy()
par = self.input_parameters
world = par.communicator
if world is None:
world = mpi.world
elif hasattr(world, 'new_communicator'):
# Check for whether object has correct type already
#
# Using isinstance() is complicated because of all the
# combinations, serial/parallel/debug...
pass
else:
# world should be a list of ranks:
world = mpi.world.new_communicator(np.asarray(world))
self.wfs.world = world
if 'txt' in self._changed_keywords:
self.set_txt(par.txt)
self.verbose = par.verbose
natoms = len(atoms)
cell_cv = atoms.get_cell() / Bohr
pbc_c = atoms.get_pbc()
Z_a = atoms.get_atomic_numbers()
magmom_av = atoms.get_initial_magnetic_moments()
self.check_atoms()
# Generate new xc functional only when it is reset by set
# XXX sounds like this should use the _changed_keywords dictionary.
if self.hamiltonian is None or self.hamiltonian.xc is None:
if isinstance(par.xc, str):
xc = XC(par.xc)
else:
xc = par.xc
else:
xc = self.hamiltonian.xc
mode = par.mode
if mode == 'fd':
mode = FD()
elif mode == 'pw':
mode = pw.PW()
elif mode == 'lcao':
mode = LCAO()
else:
assert hasattr(mode, 'name'), str(mode)
if xc.orbital_dependent and mode.name == 'lcao':
raise NotImplementedError('LCAO mode does not support '
'orbital-dependent XC functionals.')
if par.realspace is None:
realspace = (mode.name != 'pw')
else:
realspace = par.realspace
if mode.name == 'pw':
assert not realspace
if par.filter is None and mode.name != 'pw':
gamma = 1.6
if par.gpts is not None:
h = ((np.linalg.inv(cell_cv)**2).sum(0)**-0.5 / par.gpts).max()
else:
h = (par.h or 0.2) / Bohr
def filter(rgd, rcut, f_r, l=0):
gcut = np.pi / h - 2 / rcut / gamma
f_r[:] = rgd.filter(f_r, rcut * gamma, gcut, l)
else:
filter = par.filter
setups = Setups(Z_a, par.setups, par.basis, par.lmax, xc, filter,
world)
if magmom_av.ndim == 1:
collinear = True
magmom_av, magmom_a = np.zeros((natoms, 3)), magmom_av
magmom_av[:, 2] = magmom_a
else:
collinear = False
magnetic = magmom_av.any()
spinpol = par.spinpol
if par.hund:
if natoms != 1:
raise ValueError('hund=True arg only valid for single atoms!')
spinpol = True
magmom_av[0] = (0, 0, setups[0].get_hunds_rule_moment(par.charge))
if spinpol is None:
spinpol = magnetic
elif magnetic and not spinpol:
raise ValueError('Non-zero initial magnetic moment for a ' +
'spin-paired calculation!')
if collinear:
nspins = 1 + int(spinpol)
ncomp = 1
else:
nspins = 1
ncomp = 2
if par.usesymm != 'default':
warnings.warn('Use "symmetry" keyword instead of ' +
'"usesymm" keyword')
par.symmetry = usesymm2symmetry(par.usesymm)
symm = par.symmetry
if symm == 'off':
symm = {'point_group': False, 'time_reversal': False}
bzkpts_kc = kpts2ndarray(par.kpts, self.atoms)
kd = KPointDescriptor(bzkpts_kc, nspins, collinear)
m_av = magmom_av.round(decimals=3) # round off
id_a = zip(setups.id_a, *m_av.T)
symmetry = Symmetry(id_a, cell_cv, atoms.pbc, **symm)
kd.set_symmetry(atoms, symmetry, comm=world)
setups.set_symmetry(symmetry)
if par.gpts is not None:
N_c = np.array(par.gpts)
else:
h = par.h
if h is not None:
h /= Bohr
N_c = get_number_of_grid_points(cell_cv, h, mode, realspace,
kd.symmetry)
symmetry.check_grid(N_c)
width = par.width
if width is None:
if pbc_c.any():
width = 0.1 # eV
else:
width = 0.0
else:
assert par.occupations is None
if hasattr(self, 'time') or par.dtype == complex:
dtype = complex
else:
if kd.gamma:
dtype = float
else:
dtype = complex
nao = setups.nao
nvalence = setups.nvalence - par.charge
M_v = magmom_av.sum(0)
M = np.dot(M_v, M_v)**0.5
nbands = par.nbands
orbital_free = any(setup.orbital_free for setup in setups)
if orbital_free:
nbands = 1
if isinstance(nbands, basestring):
if nbands[-1] == '%':
basebands = int(nvalence + M + 0.5) // 2
nbands = int((float(nbands[:-1]) / 100) * basebands)
else:
raise ValueError('Integer Expected: Only use a string '
'if giving a percentage of occupied bands')
if nbands is None:
nbands = 0
for setup in setups:
nbands_from_atom = setup.get_default_nbands()
# Any obscure setup errors?
if nbands_from_atom < -(-setup.Nv // 2):
raise ValueError('Bad setup: This setup requests %d'
' bands but has %d electrons.' %
(nbands_from_atom, setup.Nv))
nbands += nbands_from_atom
nbands = min(nao, nbands)
elif nbands > nao and mode.name == 'lcao':
raise ValueError('Too many bands for LCAO calculation: '
'%d bands and only %d atomic orbitals!' %
(nbands, nao))
if nvalence < 0:
raise ValueError(
'Charge %f is not possible - not enough valence electrons' %
par.charge)
if nbands <= 0:
nbands = int(nvalence + M + 0.5) // 2 + (-nbands)
if nvalence > 2 * nbands and not orbital_free:
raise ValueError('Too few bands! Electrons: %f, bands: %d' %
(nvalence, nbands))
nbands *= ncomp
if par.width is not None:
self.text('**NOTE**: please start using '
'occupations=FermiDirac(width).')
if par.fixmom:
self.text('**NOTE**: please start using '
'occupations=FermiDirac(width, fixmagmom=True).')
if self.occupations is None:
if par.occupations is None:
# Create object for occupation numbers:
if orbital_free:
width = 0.0 # even for PBC
self.occupations = occupations.TFOccupations(
width, par.fixmom)
else:
self.occupations = occupations.FermiDirac(
width, par.fixmom)
else:
self.occupations = par.occupations
# If occupation numbers are changed, and we have wave functions,
# recalculate the occupation numbers
if self.wfs is not None and not isinstance(self.wfs,
EmptyWaveFunctions):
self.occupations.calculate(self.wfs)
self.occupations.magmom = M_v[2]
cc = par.convergence
if mode.name == 'lcao':
niter_fixdensity = 0
else:
niter_fixdensity = None
if self.scf is None:
force_crit = cc['forces']
if force_crit is not None:
force_crit /= Hartree / Bohr
self.scf = SCFLoop(cc['eigenstates'] / Hartree**2 * nvalence,
cc['energy'] / Hartree * max(nvalence, 1),
cc['density'] * nvalence, par.maxiter,
par.fixdensity, niter_fixdensity, force_crit)
parsize_kpt = par.parallel['kpt']
parsize_domain = par.parallel['domain']
parsize_bands = par.parallel['band']
if not realspace:
pbc_c = np.ones(3, bool)
if not self.wfs:
if parsize_domain == 'domain only': # XXX this was silly!
parsize_domain = world.size
parallelization = mpi.Parallelization(world, nspins * kd.nibzkpts)
ndomains = None
if parsize_domain is not None:
ndomains = np.prod(parsize_domain)
if mode.name == 'pw':
if ndomains > 1:
raise ValueError('Planewave mode does not support '
'domain decomposition.')
ndomains = 1
parallelization.set(kpt=parsize_kpt,
domain=ndomains,
band=parsize_bands)
comms = parallelization.build_communicators()
domain_comm = comms['d']
kpt_comm = comms['k']
band_comm = comms['b']
kptband_comm = comms['D']
domainband_comm = comms['K']
self.comms = comms
kd.set_communicator(kpt_comm)
parstride_bands = par.parallel['stridebands']
# Unfortunately we need to remember that we adjusted the
# number of bands so we can print a warning if it differs
# from the number specified by the user. (The number can
# be inferred from the input parameters, but it's tricky
# because we allow negative numbers)
self.nbands_parallelization_adjustment = -nbands % band_comm.size
nbands += self.nbands_parallelization_adjustment
# I would like to give the following error message, but apparently
# there are cases, e.g. gpaw/test/gw_ppa.py, which involve
# nbands > nao and are supposed to work that way.
#if nbands > nao:
# raise ValueError('Number of bands %d adjusted for band '
# 'parallelization %d exceeds number of atomic '
# 'orbitals %d. This problem can be fixed '
# 'by reducing the number of bands a bit.'
# % (nbands, band_comm.size, nao))
bd = BandDescriptor(nbands, band_comm, parstride_bands)
if (self.density is not None
and self.density.gd.comm.size != domain_comm.size):
# Domain decomposition has changed, so we need to
# reinitialize density and hamiltonian:
if par.fixdensity:
raise RuntimeError(
'Density reinitialization conflict ' +
'with "fixdensity" - specify domain decomposition.')
self.density = None
self.hamiltonian = None
# Construct grid descriptor for coarse grids for wave functions:
gd = self.grid_descriptor_class(N_c, cell_cv, pbc_c, domain_comm,
parsize_domain)
# do k-point analysis here? XXX
args = (gd, nvalence, setups, bd, dtype, world, kd, kptband_comm,
self.timer)
if par.parallel['sl_auto']:
# Choose scalapack parallelization automatically
for key, val in par.parallel.items():
if (key.startswith('sl_') and key != 'sl_auto'
and val is not None):
raise ValueError("Cannot use 'sl_auto' together "
"with '%s'" % key)
max_scalapack_cpus = bd.comm.size * gd.comm.size
nprow = max_scalapack_cpus
npcol = 1
# Get a sort of reasonable number of columns/rows
while npcol < nprow and nprow % 2 == 0:
npcol *= 2
nprow //= 2
assert npcol * nprow == max_scalapack_cpus
# ScaLAPACK creates trouble if there aren't at least a few
# whole blocks; choose block size so there will always be
# several blocks. This will crash for small test systems,
# but so will ScaLAPACK in any case
blocksize = min(-(-nbands // 4), 64)
sl_default = (nprow, npcol, blocksize)
else:
sl_default = par.parallel['sl_default']
if mode.name == 'lcao':
# Layouts used for general diagonalizer
sl_lcao = par.parallel['sl_lcao']
if sl_lcao is None:
sl_lcao = sl_default
lcaoksl = get_KohnSham_layouts(sl_lcao,
'lcao',
gd,
bd,
domainband_comm,
dtype,
nao=nao,
timer=self.timer)
self.wfs = mode(collinear, lcaoksl, *args)
elif mode.name == 'fd' or mode.name == 'pw':
# buffer_size keyword only relevant for fdpw
buffer_size = par.parallel['buffer_size']
# Layouts used for diagonalizer
sl_diagonalize = par.parallel['sl_diagonalize']
if sl_diagonalize is None:
sl_diagonalize = sl_default
diagksl = get_KohnSham_layouts(
sl_diagonalize,
'fd', # XXX
# choice of key 'fd' not so nice
gd,
bd,
domainband_comm,
dtype,
buffer_size=buffer_size,
timer=self.timer)
# Layouts used for orthonormalizer
sl_inverse_cholesky = par.parallel['sl_inverse_cholesky']
if sl_inverse_cholesky is None:
sl_inverse_cholesky = sl_default
if sl_inverse_cholesky != sl_diagonalize:
message = 'sl_inverse_cholesky != sl_diagonalize ' \
'is not implemented.'
raise NotImplementedError(message)
orthoksl = get_KohnSham_layouts(sl_inverse_cholesky,
'fd',
gd,
bd,
domainband_comm,
dtype,
buffer_size=buffer_size,
timer=self.timer)
# Use (at most) all available LCAO for initialization
lcaonbands = min(nbands, nao)
try:
lcaobd = BandDescriptor(lcaonbands, band_comm,
parstride_bands)
except RuntimeError:
initksl = None
else:
# Layouts used for general diagonalizer
# (LCAO initialization)
sl_lcao = par.parallel['sl_lcao']
if sl_lcao is None:
sl_lcao = sl_default
initksl = get_KohnSham_layouts(sl_lcao,
'lcao',
gd,
lcaobd,
domainband_comm,
dtype,
nao=nao,
timer=self.timer)
if hasattr(self, 'time'):
assert mode.name == 'fd'
from gpaw.tddft import TimeDependentWaveFunctions
self.wfs = TimeDependentWaveFunctions(
par.stencils[0], diagksl, orthoksl, initksl, gd,
nvalence, setups, bd, world, kd, kptband_comm,
self.timer)
elif mode.name == 'fd':
self.wfs = mode(par.stencils[0], diagksl, orthoksl,
initksl, *args)
else:
assert mode.name == 'pw'
self.wfs = mode(diagksl, orthoksl, initksl, *args)
else:
self.wfs = mode(self, *args)
else:
self.wfs.set_setups(setups)
if not self.wfs.eigensolver:
# Number of bands to converge:
nbands_converge = cc['bands']
if nbands_converge == 'all':
nbands_converge = nbands
elif nbands_converge != 'occupied':
assert isinstance(nbands_converge, int)
if nbands_converge < 0:
nbands_converge += nbands
eigensolver = get_eigensolver(par.eigensolver, mode,
par.convergence)
eigensolver.nbands_converge = nbands_converge
# XXX Eigensolver class doesn't define an nbands_converge property
if isinstance(xc, SIC):
eigensolver.blocksize = 1
self.wfs.set_eigensolver(eigensolver)
if self.density is None:
gd = self.wfs.gd
if par.stencils[1] != 9:
# Construct grid descriptor for fine grids for densities
# and potentials:
finegd = gd.refine()
else:
# Special case (use only coarse grid):
finegd = gd
if realspace:
self.density = RealSpaceDensity(
gd, finegd, nspins, par.charge + setups.core_charge,
collinear, par.stencils[1])
else:
self.density = pw.ReciprocalSpaceDensity(
gd, finegd, nspins, par.charge + setups.core_charge,
collinear)
self.density.initialize(setups, self.timer, magmom_av, par.hund)
self.density.set_mixer(par.mixer)
if self.hamiltonian is None:
gd, finegd = self.density.gd, self.density.finegd
if realspace:
self.hamiltonian = RealSpaceHamiltonian(
gd, finegd, nspins, setups, self.timer, xc, world,
self.wfs.kptband_comm, par.external, collinear,
par.poissonsolver, par.stencils[1])
else:
self.hamiltonian = pw.ReciprocalSpaceHamiltonian(
gd, finegd, self.density.pd2, self.density.pd3, nspins,
setups, self.timer, xc, world, self.wfs.kptband_comm,
par.external, collinear)
xc.initialize(self.density, self.hamiltonian, self.wfs,
self.occupations)
self.text()
self.print_memory_estimate(self.txt, maxdepth=memory_estimate_depth)
self.txt.flush()
self.timer.print_info(self)
if dry_run:
self.dry_run()
if realspace and \
self.hamiltonian.poisson.get_description() == 'FDTD+TDDFT':
self.hamiltonian.poisson.set_density(self.density)
self.hamiltonian.poisson.print_messages(self.text)
self.txt.flush()
self.initialized = True
self._changed_keywords.clear()
def initialize(self, atoms=None):
"""Inexpensive initialization."""
if atoms is None:
atoms = self.atoms
else:
# Save the state of the atoms:
self.atoms = atoms.copy()
par = self.input_parameters
world = par.communicator
if world is None:
world = mpi.world
elif hasattr(world, 'new_communicator'):
# Check for whether object has correct type already
#
# Using isinstance() is complicated because of all the
# combinations, serial/parallel/debug...
pass
else:
# world should be a list of ranks:
world = mpi.world.new_communicator(np.asarray(world))
self.wfs.world = world
self.set_text(par.txt, par.verbose)
natoms = len(atoms)
pos_av = atoms.get_positions() / Bohr
cell_cv = atoms.get_cell()
pbc_c = atoms.get_pbc()
Z_a = atoms.get_atomic_numbers()
magmom_a = atoms.get_initial_magnetic_moments()
magnetic = magmom_a.any()
spinpol = par.spinpol
if par.hund:
if natoms != 1:
raise ValueError('hund=True arg only valid for single atoms!')
spinpol = True
if spinpol is None:
spinpol = magnetic
elif magnetic and not spinpol:
raise ValueError('Non-zero initial magnetic moment for a '
'spin-paired calculation!')
nspins = 1 + int(spinpol)
if isinstance(par.xc, str):
xc = XC(par.xc)
else:
xc = par.xc
setups = Setups(Z_a, par.setups, par.basis, par.lmax, xc, world)
# K-point descriptor
kd = KPointDescriptor(par.kpts, nspins)
width = par.width
if width is None:
if kd.gamma:
width = 0.0
else:
width = 0.1 # eV
else:
assert par.occupations is None
if par.gpts is not None and par.h is None:
N_c = np.array(par.gpts)
else:
if par.h is None:
self.text('Using default value for grid spacing.')
h = 0.2
else:
h = par.h
N_c = h2gpts(h, cell_cv)
cell_cv /= Bohr
if hasattr(self, 'time') or par.dtype==complex:
dtype = complex
else:
if kd.gamma:
dtype = float
else:
dtype = complex
kd.set_symmetry(atoms, setups, par.usesymm, N_c)
nao = setups.nao
nvalence = setups.nvalence - par.charge
nbands = par.nbands
if nbands is None:
nbands = nao
elif nbands > nao and par.mode == 'lcao':
raise ValueError('Too many bands for LCAO calculation: ' +
'%d bands and only %d atomic orbitals!' %
(nbands, nao))
if nvalence < 0:
raise ValueError(
'Charge %f is not possible - not enough valence electrons' %
par.charge)
M = magmom_a.sum()
if par.hund:
f_si = setups[0].calculate_initial_occupation_numbers(
magmom=0, hund=True, charge=par.charge, nspins=nspins)
Mh = f_si[0].sum() - f_si[1].sum()
if magnetic and M != Mh:
raise RuntimeError('You specified a magmom that does not'
'agree with hunds rule!')
else:
M = Mh
if nbands <= 0:
nbands = int(nvalence + M + 0.5) // 2 + (-nbands)
if nvalence > 2 * nbands:
raise ValueError('Too few bands! Electrons: %d, bands: %d'
% (nvalence, nbands))
if par.width is not None:
self.text('**NOTE**: please start using '
'occupations=FermiDirac(width).')
if par.fixmom:
self.text('**NOTE**: please start using '
'occupations=FermiDirac(width, fixmagmom=True).')
if self.occupations is None:
if par.occupations is None:
# Create object for occupation numbers:
self.occupations = occupations.FermiDirac(width, par.fixmom)
else:
self.occupations = par.occupations
self.occupations.magmom = M
cc = par.convergence
if par.mode == 'lcao':
niter_fixdensity = 0
else:
niter_fixdensity = None
if self.scf is None:
self.scf = SCFLoop(
cc['eigenstates'] * nvalence,
cc['energy'] / Hartree * max(nvalence, 1),
cc['density'] * nvalence,
par.maxiter, par.fixdensity,
niter_fixdensity)
parsize, parsize_bands = par.parallel['domain'], par.parallel['band']
if parsize_bands is None:
parsize_bands = 1
# TODO delete/restructure so all checks are in BandDescriptor
if nbands % parsize_bands != 0:
raise RuntimeError('Cannot distribute %d bands to %d processors' %
(nbands, parsize_bands))
if not self.wfs:
if parsize == 'domain only': #XXX this was silly!
parsize = world.size
domain_comm, kpt_comm, band_comm = mpi.distribute_cpus(parsize,
parsize_bands, nspins, kd.nibzkpts, world, par.idiotproof)
kd.set_communicator(kpt_comm)
parstride_bands = par.parallel['stridebands']
bd = BandDescriptor(nbands, band_comm, parstride_bands)
if (self.density is not None and
self.density.gd.comm.size != domain_comm.size):
# Domain decomposition has changed, so we need to
# reinitialize density and hamiltonian:
if par.fixdensity:
raise RuntimeError("I'm confused - please specify parsize."
)
self.density = None
self.hamiltonian = None
# Construct grid descriptor for coarse grids for wave functions:
gd = self.grid_descriptor_class(N_c, cell_cv, pbc_c,
domain_comm, parsize)
# do k-point analysis here? XXX
args = (gd, nvalence, setups, bd, dtype, world, kd, self.timer)
if par.mode == 'lcao':
# Layouts used for general diagonalizer
sl_lcao = par.parallel['sl_lcao']
if sl_lcao is None:
sl_lcao = par.parallel['sl_default']
lcaoksl = get_KohnSham_layouts(sl_lcao, 'lcao',
gd, bd, dtype,
nao=nao, timer=self.timer)
self.wfs = LCAOWaveFunctions(lcaoksl, *args)
elif par.mode == 'fd' or isinstance(par.mode, PW):
# buffer_size keyword only relevant for fdpw
buffer_size = par.parallel['buffer_size']
# Layouts used for diagonalizer
sl_diagonalize = par.parallel['sl_diagonalize']
if sl_diagonalize is None:
sl_diagonalize = par.parallel['sl_default']
diagksl = get_KohnSham_layouts(sl_diagonalize, 'fd',
gd, bd, dtype,
buffer_size=buffer_size,
timer=self.timer)
# Layouts used for orthonormalizer
sl_inverse_cholesky = par.parallel['sl_inverse_cholesky']
if sl_inverse_cholesky is None:
sl_inverse_cholesky = par.parallel['sl_default']
if sl_inverse_cholesky != sl_diagonalize:
message = 'sl_inverse_cholesky != sl_diagonalize ' \
'is not implemented.'
raise NotImplementedError(message)
orthoksl = get_KohnSham_layouts(sl_inverse_cholesky, 'fd',
gd, bd, dtype,
buffer_size=buffer_size,
timer=self.timer)
# Use (at most) all available LCAO for initialization
lcaonbands = min(nbands, nao)
lcaobd = BandDescriptor(lcaonbands, band_comm, parstride_bands)
assert nbands <= nao or bd.comm.size == 1
assert lcaobd.mynbands == min(bd.mynbands, nao) #XXX
# Layouts used for general diagonalizer (LCAO initialization)
sl_lcao = par.parallel['sl_lcao']
if sl_lcao is None:
sl_lcao = par.parallel['sl_default']
initksl = get_KohnSham_layouts(sl_lcao, 'lcao',
gd, lcaobd, dtype,
nao=nao,
timer=self.timer)
if par.mode == 'fd':
self.wfs = FDWaveFunctions(par.stencils[0], diagksl,
orthoksl, initksl, *args)
else:
# Planewave basis:
self.wfs = par.mode(diagksl, orthoksl, initksl,
gd, nvalence, setups, bd,
world, kd, self.timer)
else:
self.wfs = par.mode(self, *args)
else:
self.wfs.set_setups(setups)
if not self.wfs.eigensolver:
# Number of bands to converge:
nbands_converge = cc['bands']
if nbands_converge == 'all':
nbands_converge = nbands
elif nbands_converge != 'occupied':
assert isinstance(nbands_converge, int)
if nbands_converge < 0:
nbands_converge += nbands
eigensolver = get_eigensolver(par.eigensolver, par.mode,
par.convergence)
eigensolver.nbands_converge = nbands_converge
# XXX Eigensolver class doesn't define an nbands_converge property
self.wfs.set_eigensolver(eigensolver)
if self.density is None:
gd = self.wfs.gd
if par.stencils[1] != 9:
# Construct grid descriptor for fine grids for densities
# and potentials:
finegd = gd.refine()
else:
# Special case (use only coarse grid):
finegd = gd
self.density = Density(gd, finegd, nspins,
par.charge + setups.core_charge)
self.density.initialize(setups, par.stencils[1], self.timer,
magmom_a, par.hund)
self.density.set_mixer(par.mixer)
if self.hamiltonian is None:
gd, finegd = self.density.gd, self.density.finegd
self.hamiltonian = Hamiltonian(gd, finegd, nspins,
setups, par.stencils[1], self.timer,
xc, par.poissonsolver,
par.external)
xc.initialize(self.density, self.hamiltonian, self.wfs,
self.occupations)
self.text()
self.print_memory_estimate(self.txt, maxdepth=memory_estimate_depth)
self.txt.flush()
if dry_run:
self.dry_run()
self.initialized = True
