class TestH2(unittest.TestCase):
def setUp(self):
torch.manual_seed(0)
np.random.seed(0)
# optimal parameters
self.opt_r = 0.69 # the two h are at +0.69 and -0.69
self.opt_sigma = 1.24
# molecule
self.mol = Molecule(atom='H 0 0 -0.69; H 0 0 0.69',
unit='bohr',
calculator='pyscf',
basis='sto-3g')
# wave function
self.wf = SlaterJastrow(self.mol,
kinetic='auto',
configs='single(2,2)')
# sampler
self.sampler = Metropolis(nwalkers=1000,
nstep=2000,
step_size=0.5,
ndim=self.wf.ndim,
nelec=self.wf.nelec,
init=self.mol.domain('normal'),
move={
'type': 'all-elec',
'proba': 'normal'
})
self.hmc_sampler = Hamiltonian(nwalkers=100,
nstep=200,
step_size=0.1,
ndim=self.wf.ndim,
nelec=self.wf.nelec,
init=self.mol.domain('normal'))
# optimizer
self.opt = optim.Adam(self.wf.parameters(), lr=0.01)
# solver
self.solver = SolverSlaterJastrow(wf=self.wf,
sampler=self.sampler,
optimizer=self.opt)
# ground state energy
self.ground_state_energy = -1.16
# ground state pos
self.ground_state_pos = 0.69
def test1_single_point(self):
self.solver.wf.ao.atom_coords[0, 2] = -self.ground_state_pos
self.solver.wf.ao.atom_coords[1, 2] = self.ground_state_pos
self.solver.sampler = self.sampler
# sample and compute observables
obs = self.solver.single_point()
e, v = obs.energy, obs.variance
# values on different arch
expected_energy = [-1.1464850902557373, -1.14937478612449]
# values on different arch
expected_variance = [0.9279592633247375, 0.7445300449383236]
assert (np.any(np.isclose(e.data.item(), np.array(expected_energy))))
assert (np.any(np.isclose(v.data.item(), np.array(expected_variance))))
def test2_single_point_hmc(self):
self.solver.wf.ao.atom_coords[0, 2] = -self.ground_state_pos
self.solver.wf.ao.atom_coords[1, 2] = self.ground_state_pos
self.solver.sampler = self.hmc_sampler
# sample and compute observables
obs = self.solver.single_point()
e, v = obs.energy, obs.variance
# values on different arch
expected_energy = [-1.0877732038497925, -1.088576]
# values on different arch
expected_variance = [0.14341972768306732, 0.163771]
assert (np.any(np.isclose(e.data.item(), np.array(expected_energy))))
assert (np.any(np.isclose(v.data.item(), np.array(expected_variance))))
def test3_wf_opt(self):
self.solver.sampler = self.sampler
self.solver.configure(track=['local_energy', 'parameters'],
loss='energy',
grad='auto')
obs = self.solver.run(5)
if __PLOT__:
plot_energy(obs.local_energy, e0=-1.1645, show_variance=True)
def test4_geo_opt(self):
self.solver.wf.ao.atom_coords[0, 2].data = torch.as_tensor(-0.37)
self.solver.wf.ao.atom_coords[1, 2].data = torch.as_tensor(0.37)
self.solver.configure(track=['local_energy'],
loss='energy',
grad='auto')
self.solver.geo_opt(5, nepoch_wf_init=10, nepoch_wf_update=5)
# load the best model
self.solver.wf.load(self.solver.hdf5file, 'geo_opt')
self.solver.wf.eval()
# sample and compute variables
obs = self.solver.single_point()
e, v = obs.energy, obs.variance
e = e.data.numpy()
v = v.data.numpy()
# it might be too much to assert with the ground state energy
assert (e > 2 * self.ground_state_energy and e < 0.)
assert (v > 0 and v < 2.)
def test5_sampling_traj(self):
self.solver.sampler = self.sampler
self.solver.sampler.nstep = 100
self.solver.sampler.ntherm = 0
self.solver.sampler.ndecor = 1
pos = self.solver.sampler(self.solver.wf.pdf)
obs = self.solver.sampling_traj(pos)
if __PLOT__:
plot_walkers_traj(obs.local_energy)
plot_block(obs.local_energy)
plot_blocking_energy(obs.local_energy, block_size=10)
plot_correlation_coefficient(obs.local_energy)
plot_integrated_autocorrelation_time(obs.local_energy)
class TestH2Correlated(unittest.TestCase):
def setUp(self):
torch.manual_seed(0)
np.random.seed(0)
set_torch_double_precision()
# optimal parameters
self.opt_r = 0.69 # the two h are at +0.69 and -0.69
self.opt_sigma = 1.24
# molecule
self.mol = Molecule(atom='H 0 0 -0.69; H 0 0 0.69',
unit='bohr',
calculator='pyscf',
basis='sto-3g')
# wave function
self.wf = SlaterOrbitalDependentJastrow(
self.mol,
kinetic='auto',
configs='cas(2,2)',
jastrow_kernel=FullyConnectedJastrowKernel,
include_all_mo=True)
# sampler
self.sampler = Metropolis(nwalkers=1000,
nstep=2000,
step_size=0.5,
ndim=self.wf.ndim,
nelec=self.wf.nelec,
init=self.mol.domain('normal'),
move={
'type': 'all-elec',
'proba': 'normal'
})
# optimizer
self.opt = optim.Adam(self.wf.parameters(), lr=0.01)
# solver
self.solver = SolverSlaterJastrow(wf=self.wf,
sampler=self.sampler,
optimizer=self.opt)
# ground state energy
self.ground_state_energy = -1.16
# ground state pos
self.ground_state_pos = 0.69
def test_0_wavefunction(self):
# artificial pos
self.nbatch = 10
self.pos = torch.as_tensor(
np.random.rand(self.nbatch, self.wf.nelec * 3))
self.pos.requires_grad = True
eauto = self.wf.kinetic_energy_autograd(self.pos)
ejac = self.wf.kinetic_energy_jacobi(self.pos)
print(torch.stack([eauto, ejac], axis=1).squeeze())
assert torch.allclose(eauto.data, ejac.data, rtol=1E-4, atol=1E-4)
def test1_single_point(self):
self.solver.wf.ao.atom_coords[0, 2] = -self.ground_state_pos
self.solver.wf.ao.atom_coords[1, 2] = self.ground_state_pos
self.solver.sampler = self.sampler
# sample and compute observables
obs = self.solver.single_point()
e, v = obs.energy, obs.variance
def test3_wf_opt(self):
self.solver.sampler = self.sampler
self.solver.configure(track=['local_energy', 'parameters'],
loss='energy',
grad='auto')
obs = self.solver.run(5)
if __PLOT__:
plot_energy(obs.local_energy, e0=-1.1645, show_variance=True)
def test4_geo_opt(self):
self.solver.wf.ao.atom_coords[0, 2].data = torch.as_tensor(-0.37)
self.solver.wf.ao.atom_coords[1, 2].data = torch.as_tensor(0.37)
self.solver.configure(track=['local_energy'],
loss='energy',
grad='auto')
self.solver.geo_opt(5,
nepoch_wf_init=10,
nepoch_wf_update=5,
hdf5_group='geo_opt_correlated')
# load the best model
self.solver.wf.load(self.solver.hdf5file, 'geo_opt_correlated')
self.solver.wf.eval()
# sample and compute variables
obs = self.solver.single_point()
e, v = obs.energy, obs.variance
e = e.data.numpy()
v = v.data.numpy()
# it might be too much to assert with the ground state energy
assert (e > 2 * self.ground_state_energy and e < 0.)
assert (v > 0 and v < 2.)