From be571fe7a17b462905b64aa55c2e00a58c8641f9 Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Thu, 12 Oct 2023 16:45:05 +0100 Subject: [PATCH 001/117] initialize branch --- evcont/ab_initio_gradients_loewdin.py | 49 ++++++++++++++++++++++++++- 1 file changed, 48 insertions(+), 1 deletion(-) diff --git a/evcont/ab_initio_gradients_loewdin.py b/evcont/ab_initio_gradients_loewdin.py index 426498e..a225f35 100644 --- a/evcont/ab_initio_gradients_loewdin.py +++ b/evcont/ab_initio_gradients_loewdin.py @@ -2,7 +2,10 @@ from pyscf import scf, ao2mo, grad -from evcont.ab_initio_eigenvector_continuation import approximate_ground_state +from evcont.ab_initio_eigenvector_continuation import ( + approximate_ground_state, + approximate_multistate +) from evcont.electron_integral_utils import get_loewdin_trafo @@ -343,3 +346,47 @@ def get_energy_with_grad(mol, one_RDM, two_RDM, S, hermitian=True): en.real + mol.energy_nuc(), grad_elec + grad.RHF(scf.RHF(mol)).grad_nuc(), ) + +def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): + """ + Calculates the potential energy and its gradient w.r.t. nuclear positions of a + molecule from the eigenvector continuation. + + Args: + mol : pyscf.gto.Mole + The molecule object. + one_RDM : numpy.ndarray + The one-electron t-RDM. + two_RDM : numpy.ndarray + The two-electron t-RDM. + S : numpy.ndarray + The overlap matrix. + hermitian (bool, optional): + Whether problem is solved with eigh or with eig. Defaults to True. + + Returns: + tuple + A tuple containing the total potential energy and its gradient. + """ + # Construct h1 and h2 + ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) + + h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) + h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) + + #en, vec = approximate_ground_state(h1, h2, one_RDM, two_RDM, S, hermitian=hermitian) + en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) + + one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec, one_RDM, vec, optimize="optimal") + two_rdm_predicted = np.einsum( + "i,ijklmn,j->klmn", vec, two_RDM, vec, optimize="optimal" + ) + + grad_elec = get_grad_elec_OAO( + mol, one_rdm_predicted, two_rdm_predicted, ao_mo_trafo=ao_mo_trafo + ) + + return ( + en.real + mol.energy_nuc(), + grad_elec + grad.RHF(scf.RHF(mol)).grad_nuc(), + ) From 8ab4040bb91a20adf9b4b2bb278020faed401533 Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Mon, 16 Oct 2023 10:08:34 +0100 Subject: [PATCH 002/117] Excited state gradients - initial implementation --- evcont/ab_initio_gradients_loewdin.py | 254 +++++++++++++++++++++++++- 1 file changed, 245 insertions(+), 9 deletions(-) diff --git a/evcont/ab_initio_gradients_loewdin.py b/evcont/ab_initio_gradients_loewdin.py index a225f35..56d8b49 100644 --- a/evcont/ab_initio_gradients_loewdin.py +++ b/evcont/ab_initio_gradients_loewdin.py @@ -347,6 +347,11 @@ def get_energy_with_grad(mol, one_RDM, two_RDM, S, hermitian=True): grad_elec + grad.RHF(scf.RHF(mol)).grad_nuc(), ) + +############################################################ +# NEW MULTISTATE - SEPERATED FROM REST FOR TESTING +############################################################ + def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): """ Calculates the potential energy and its gradient w.r.t. nuclear positions of a @@ -374,19 +379,250 @@ def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitia h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) - #en, vec = approximate_ground_state(h1, h2, one_RDM, two_RDM, S, hermitian=hermitian) en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) - one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec, one_RDM, vec, optimize="optimal") - two_rdm_predicted = np.einsum( - "i,ijklmn,j->klmn", vec, two_RDM, vec, optimize="optimal" - ) + grad_elec_all = [] + for i_state in range(nroots): + vec_i = vec[i_state,:] - grad_elec = get_grad_elec_OAO( - mol, one_rdm_predicted, two_rdm_predicted, ao_mo_trafo=ao_mo_trafo - ) + one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec_i, one_RDM, vec_i, optimize="optimal") + two_rdm_predicted = np.einsum( + "i,ijklmn,j->klmn", vec_i, two_RDM, vec_i, optimize="optimal" + ) + + grad_elec = get_grad_elec_OAO( + mol, one_rdm_predicted, two_rdm_predicted, ao_mo_trafo=ao_mo_trafo + ) + grad_elec_all.append(grad_elec) + + grad_elec_all = np.array(grad_elec_all) return ( en.real + mol.energy_nuc(), - grad_elec + grad.RHF(scf.RHF(mol)).grad_nuc(), + grad_elec_all + grad.RHF(scf.RHF(mol)).grad_nuc(), ) + +if __name__ == '__main__': + + # Some initial checks for the code + from pyscf import gto, fci + from evcont.FCI_EVCont import FCI_EVCont_obj + from evcont.ab_initio_eigenvector_continuation import approximate_multistate_OAO + from evcont.electron_integral_utils import get_basis, get_integrals + + from pyscf.mcscf import CASCI + + nstate = 1 #1st excited state + nroots_evcont = 3 + + natom = 10 + + + def get_mol(positions): + mol = gto.Mole() + + mol.build( + atom=[("H", pos) for pos in positions], + basis="sto-6g", + symmetry=False, + unit="Bohr", + ) + + return mol + + equilibrium_dist = 1.78596 + + equilibrium_pos = np.array([(x * equilibrium_dist, 0.0, 0.0) for x in range(10)]) + + training_stretches = np.array([0.0, 0.5, -0.5, 1.0, -1.0]) + + trainig_dists = equilibrium_dist + training_stretches + + #trainig_dists = [1.0, 1.8, 2.6] + + continuation_object = FCI_EVCont_obj(nroots=nroots_evcont, + cibasis='canonical') + + + # Generate training data + prepare training models + for i, dist in enumerate(trainig_dists): + positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] + mol = get_mol(positions) + continuation_object.append_to_rdms(mol) + + # Test the ground and excite state forces and gradients at training points + for i, dist in enumerate(trainig_dists): + positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] + mol = get_mol(positions) + + # Predictions from mutistate continuation + en_continuation_ms, grad_continuation_ms = get_multistate_energy_with_grad( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + + # Predictions from Hartree-Fock + hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) + + # Fci reference values + #en_exact, grad_exact = CASCI(mol.RHF(), natom, natom).nuc_grad_method().as_scanner()(mol) + + # Fci excited state reference values + mc = CASCI(mol.RHF(mol), natom, natom) + mc.fcisolver = fci.direct_spin0.FCI() + mc.fcisolver.nroots = nroots_evcont + ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) + ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) + + en_exc_exact, grad_exc_exact = ci_scan_exc(mol) + en_exact, grad_exact = ci_scan_0(mol) + + + # Checks + assert np.allclose(en_exact,en_continuation_ms[0]) + assert np.allclose(grad_exact,grad_continuation_ms[0]) + + assert np.allclose(en_exc_exact,en_continuation_ms[nstate]) + assert np.allclose(grad_exc_exact,grad_continuation_ms[nstate]) + + + ''' + radius = 0.4 + #radius_l = [0.1,0.4] + + n_data_points = 50 + seed = 1 + + norb = nelec = 10 + + + + rng = np.random.default_rng(seed) + + + + # Testing + en_exact_l = []; grad_exact_l = [] + en_continuation_l = []; grad_continuation_l = [] + + en_exc_exact_l = []; grad_exc_exact_l = [] + en_continuation_ms_l = []; grad_continuation_ms_l = [] + en_continuation_exc_l = []; grad_continuation_exc_l = [] + + for i in range(n_data_points): + # Sample a new test geometry + displacement_theta = rng.random(size=(10)) * np.pi + displacement_phi = rng.random(size=(10)) * 2 * np.pi + + sampled_displacement_x = ( + radius * np.sin(displacement_theta) * np.cos(displacement_phi) + ) + sampled_displacement_y = ( + radius * np.sin(displacement_theta) * np.sin(displacement_phi) + ) + sampled_displacement_z = radius * np.cos(displacement_theta) + + sampled_displacement = np.stack( + (sampled_displacement_x, sampled_displacement_y, sampled_displacement_z), + axis=-1, + ) + + sampled_pos = equilibrium_pos + sampled_displacement + mol = get_mol(sampled_pos) + + # Predictions from continuation + en_continuation, grad_continuation = get_energy_with_grad( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + ) + + # Predictions from mutistate continuation + en_continuation_ms, grad_continuation_ms = get_multistate_energy_with_grad( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + + # Predictions from Hartree-Fock + hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) + + # Fci reference values + en_exact, grad_exact = CASCI(mol.RHF(), 10, 10).nuc_grad_method().as_scanner()(mol) + + # Fci excited state reference values + mc = CASCI(mol.RHF(mol), 10, 10) + mc.fcisolver.nroots = nstate+2 + ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) + #ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) + + en_exc_exact, grad_exc_exact = ci_scan_exc(mol) + #en_exact, grad_exact = ci_scan_0(mol) + + # Save + en_exact_l.append(en_exact) + grad_exact_l.append(grad_exact) + en_continuation_l.append(en_continuation) + grad_continuation_l.append(grad_continuation) + + en_continuation_ms_l.append(np.atleast_1d(en_continuation_ms)[0]) + grad_continuation_ms_l.append(grad_continuation_ms[0,:,:]) + + if nstate > 0: + en_continuation_exc_l.append(np.atleast_1d(en_continuation_ms)[nstate]) + grad_continuation_exc_l.append(grad_continuation_ms[nstate,:,:]) + en_exc_exact_l.append(en_exc_exact) + grad_exc_exact_l.append(grad_exc_exact) + + grad_continuation_l = np.array(grad_continuation_l) + grad_exact_l = np.array(grad_exact_l) + en_continuation_l = np.array(en_continuation_l) + en_exact_l = np.array(en_exact_l) + + grad_continuation_ms_l = np.array(grad_continuation_ms_l) + en_continuation_ms_l = np.array(en_continuation_ms_l) + grad_continuation_exc_l = np.array(grad_continuation_exc_l) + en_continuation_exc_l = np.array(en_continuation_exc_l) + + en_exc_exact_l = np.array(en_exc_exact_l) + grad_exc_exact_l = np.array(grad_exc_exact_l) + + # + assert np.allclose(grad_continuation_ms_l,grad_continuation_l) + + # Compute the differences + grad_diff = np.abs(grad_continuation_l - grad_exact_l) + en_diff = en_continuation_l - en_exact_l + en_diff_rel = np.abs(en_diff/en_exact_l) + + grad_ms_diff = np.abs(grad_continuation_ms_l - grad_exact_l) + en_ms_diff = en_continuation_ms_l - en_exact_l + + grad_exc_diff = np.abs(grad_continuation_exc_l - grad_exc_exact_l) + en_exc_diff = en_continuation_exc_l - en_exc_exact_l + en_exc_diff_rel = np.abs(en_exc_diff/en_exc_exact_l) + + + print(f'Force difference - ground state: {grad_diff.mean():.4e} ({grad_diff.min():.4e} - {grad_diff.max():.4e})') + print(f'Energy difference - ground state: {en_diff.mean():.4e} ({en_diff.min():.4e} - {en_diff.max():.4e})') + print(f'Energy difference - ground state: {en_diff_rel.mean():.4e} ({en_diff_rel.min():.4e} - {en_diff_rel.max():.4e})') + + print('-- Multistate') + print(f'Force difference - ground state: {grad_ms_diff.mean():.4e} ({grad_ms_diff.min():.4e} - {grad_ms_diff.max():.4e})') + print(f'Energy difference - ground state: {en_ms_diff.mean():.4e} ({en_ms_diff.min():.4e} - {en_ms_diff.max():.4e})') + + + print('-- Multistate - excited') + print(f'Force difference - excited state: {grad_exc_diff.mean():.4e} ({grad_exc_diff.min():.4e} - {grad_exc_diff.max():.4e})') + print(f'Energy difference - excited state: {en_exc_diff.mean():.4e} ({en_exc_diff.min():.4e} - {en_exc_diff.max():.4e})') + print(f'Relative energy difference - excited state: {en_exc_diff_rel.mean():.4e} ({en_exc_diff_rel.min():.4e} - {en_exc_diff_rel.max():.4e})') + + + ''' + \ No newline at end of file From 396e9931ccb7039966028d94b3125d76b7a8d6d4 Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Tue, 17 Oct 2023 18:41:40 +0100 Subject: [PATCH 003/117] NAC implementation - in testing --- evcont/ab_initio_gradients_loewdin.py | 444 +++++++++++++++++++++++--- 1 file changed, 407 insertions(+), 37 deletions(-) diff --git a/evcont/ab_initio_gradients_loewdin.py b/evcont/ab_initio_gradients_loewdin.py index 56d8b49..f67c307 100644 --- a/evcont/ab_initio_gradients_loewdin.py +++ b/evcont/ab_initio_gradients_loewdin.py @@ -402,6 +402,81 @@ def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitia grad_elec_all + grad.RHF(scf.RHF(mol)).grad_nuc(), ) + +def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): + """ + Calculates the potential energy and its gradient w.r.t. nuclear positions of a + molecule from the eigenvector continuation. + + Args: + mol : pyscf.gto.Mole + The molecule object. + one_RDM : numpy.ndarray + The one-electron t-RDM. + two_RDM : numpy.ndarray + The two-electron t-RDM. + S : numpy.ndarray + The overlap matrix. + hermitian (bool, optional): + Whether problem is solved with eigh or with eig. Defaults to True. + + Returns: + tuple + A tuple containing the total potential energy and its gradient. + """ + # Construct h1 and h2 + ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) + + h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) + h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) + + en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) + + grad_elec_all = [] + for i_state in range(nroots): + vec_i = vec[i_state,:] + + + grad_nuc = grad.RHF(scf.RHF(mol)).grad_nuc() + + grad_elec_all = [] + nac_all = {} + for i_state in range(nroots): + vec_i = vec[i_state,:] + + for j_state in range(nroots): + vec_j = vec[j_state,:] + + one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec_i, one_RDM, vec_j, optimize="optimal") + two_rdm_predicted = np.einsum( + "i,ijklmn,j->klmn", vec_i, two_RDM, vec_j, optimize="optimal" + ) + + grad_elec = get_grad_elec_OAO( + mol, one_rdm_predicted, two_rdm_predicted, ao_mo_trafo=ao_mo_trafo + ) + + # Energy gradients + if i_state == j_state: + grad_elec_all.append(grad_elec) + + # Nonadiabatic couplings + else: + nac_ij = grad_elec/(en[j_state]-en[i_state]) + nac_all[str(i_state)+str(j_state)] = nac_ij + + + grad_all = np.array(grad_elec_all) + grad_nuc + + return ( + en.real + mol.energy_nuc(), + grad_all, + nac_all + ) + + + + if __name__ == '__main__': # Some initial checks for the code @@ -411,11 +486,21 @@ def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitia from evcont.electron_integral_utils import get_basis, get_integrals from pyscf.mcscf import CASCI + + from pyscf.fci.addons import overlap + + from functools import reduce - nstate = 1 #1st excited state + CASE = 'NAC' + #CASE = 'Exc-Grad' + + nstate = 2 #1st excited state nroots_evcont = 3 + cibasis = 'canonical' + + natom = 6 - natom = 10 + test_range = np.linspace(0.8, 3.0,20) def get_mol(positions): @@ -426,10 +511,104 @@ def get_mol(positions): basis="sto-6g", symmetry=False, unit="Bohr", + verbose=0 ) return mol + def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): + """ + Compute the nonadiabatic coupling from the central finite difference + ( \braket{\psi_a(x)|psi_b(x+dx)} - \braket{\psi_a(x)|psi_b(x-dx)} ) / (2*dx) + for dx along each atomic and Cartesian coordinate + + Args: + mf: pyscf.mcscf.CASCI + The CASCI solver. + mol (optional): pyscf.gto.Mole + The molecule object. + nroots (optional): int + Number of states in the solver. + dx (optional): float + Grid spacing in the finite difference solution + cibasis (optional): str + Single particle basis to use in the FCI solution + + Returns: + nac_all: dictionary of np.darray(nat,3) + Nonadiabatic coupling vectors between all states, + e.g. nac_all['02'] is NAC along ground state and 2nd excited state + + Note: nac_all['ii'] is technically not well-defined but still + computed for testing purposes + + """ + # Variables + if mol == None: + mol = mf.mol + if nroots == None: + nroots = mf.fcisolver.nroots + + mverbose = mol.verbose + mol.verbose = 0 + coord = mol.atom_coords() + + # At given molecular coordinates + basis_0 = get_basis(mol,cibasis) + h1, h2 = get_integrals(mol, basis_0) + _, fcivec_0 = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec, tol=1.e-14, max_space=30, nroots=6, max_cycle=250) + + mol0 = mol.copy() + + # Initialize nac + nac_all = {} + for i in range(nroots): + for j in range(nroots): + nac_all[str(i)+str(j)]=np.zeros([mol.natm,3]) + + for ni in range(mol.natm): + ptr = mol._atm[ni,gto.PTR_COORD] + for i in range(3): + # Positive + mol._env[ptr+i] = coord[ni,i] + dx + + basis_pos = get_basis(mol,cibasis) + h1, h2 = get_integrals(mol, basis_pos) + _, fcivec_pos = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec, tol=1.e-14, max_space=30, nroots=6, max_cycle=250) + + # Single particle basis overlap + s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) + s12_pos = np.einsum('ji,jk,kl->il',basis_0,s12,basis_pos) + + # Negative + mol._env[ptr+i] = coord[ni,i] - dx + + basis_neg = get_basis(mol,cibasis) + h1, h2 = get_integrals(mol, basis_neg) + _, fcivec_neg = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec, tol=1.e-14, max_space=30, nroots=6, max_cycle=250) + + # Single particle basis overlap + s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) + s12_neg = np.einsum('ji,jk,kl->il',basis_0,s12,basis_neg) + + # Iterate over different states + for istate in range(nroots): + for jstate in range(nroots): + # Overlaps + ov1a = overlap(fcivec_0[istate],fcivec_pos[jstate],mol0.nao,mol0.nelec,s12_pos) + ov1b = overlap(fcivec_0[istate],fcivec_neg[jstate],mol0.nao,mol0.nelec,s12_neg) + + # Central difference + nac_all[str(istate)+str(jstate)][ni,i] = (ov1a-ov1b)/(2*dx) + + # Return to original coordinates for next iterations + mol._env[ptr+i] = coord[ni,i] + + mol.verbose = mverbose + + return nac_all + + equilibrium_dist = 1.78596 equilibrium_pos = np.array([(x * equilibrium_dist, 0.0, 0.0) for x in range(10)]) @@ -441,7 +620,7 @@ def get_mol(positions): #trainig_dists = [1.0, 1.8, 2.6] continuation_object = FCI_EVCont_obj(nroots=nroots_evcont, - cibasis='canonical') + cibasis=cibasis) # Generate training data + prepare training models @@ -450,44 +629,165 @@ def get_mol(positions): mol = get_mol(positions) continuation_object.append_to_rdms(mol) - # Test the ground and excite state forces and gradients at training points - for i, dist in enumerate(trainig_dists): - positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] - mol = get_mol(positions) - - # Predictions from mutistate continuation - en_continuation_ms, grad_continuation_ms = get_multistate_energy_with_grad( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - - # Predictions from Hartree-Fock - hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) - - # Fci reference values - #en_exact, grad_exact = CASCI(mol.RHF(), natom, natom).nuc_grad_method().as_scanner()(mol) + if CASE == 'Exc-Grad': + # Test the ground and excite state forces and gradients at training points + for i, dist in enumerate(trainig_dists): + positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] + mol = get_mol(positions) + + # Predictions from mutistate continuation + en_continuation_ms_old, grad_continuation_ms_old = get_multistate_energy_with_grad( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + + en_continuation_ms, grad_continuation_ms, nac_continuation = get_multistate_energy_with_grad_and_NAC( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + + # Predictions from Hartree-Fock + hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) + + # Fci reference values + #en_exact, grad_exact = CASCI(mol.RHF(), natom, natom).nuc_grad_method().as_scanner()(mol) + + # Fci excited state reference values + mc = CASCI(mol.RHF(mol), natom, natom) + mc.fcisolver = fci.direct_spin0.FCI() + mc.fcisolver.nroots = nstate+1 + ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) + ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) + + en_exc_exact, grad_exc_exact = ci_scan_exc(mol) + en_exact, grad_exact = ci_scan_0(mol) + + # Get the reference numerical FCI NACs + #nac_all = nac_fd_FCI(mc,nroots=nstate+1) + #print(nac_all) + + # Checks + print(i) + + assert np.allclose(en_exact,en_continuation_ms[0]) + assert np.allclose(grad_exact,grad_continuation_ms[0]) + + assert np.allclose(en_exc_exact,en_continuation_ms[nstate]) + assert np.allclose(grad_exc_exact,grad_continuation_ms[nstate],atol=1e-6) + + - # Fci excited state reference values - mc = CASCI(mol.RHF(mol), natom, natom) - mc.fcisolver = fci.direct_spin0.FCI() - mc.fcisolver.nroots = nroots_evcont - ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) - ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) + # Test NACs + if CASE == 'NAC': - en_exc_exact, grad_exc_exact = ci_scan_exc(mol) - en_exact, grad_exact = ci_scan_0(mol) + fci_en = np.zeros([len(test_range),nstate+1]) + fci_nac = [] + cont_en = np.zeros([len(test_range),nstate+1]) + cont_nac = [] + for i, test_dist in enumerate(test_range): + print(i) + positions = [(x, 0.0, 0.0) for x in test_dist * np.arange(natom)] + mol = get_mol(positions) + h1, h2 = get_integrals(mol, get_basis(mol)) + + mc = CASCI(mol.RHF(), natom, natom) + mc.fcisolver = fci.direct_spin0.FCI() + mc.fcisolver.nroots = nstate+1 + #ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) + #ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) + + #en_exc_exact, grad_exc_exact = ci_scan_exc(mol) + #en_exact, grad_exact = ci_scan_0(mol) + en_exact, fcivec_pos = mc.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) + + en_exact += mol.energy_nuc() + + # Get the reference numerical FCI NACs + nac_all = nac_fd_FCI(mc,nroots=nstate+1,cibasis=cibasis) + + fci_en[i,:] = en_exact + fci_nac += [nac_all] + + # Continuation + en_continuation_ms, _, nac_continuation = get_multistate_energy_with_grad_and_NAC( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + + cont_en[i,:] = en_continuation_ms + cont_nac += [nac_continuation] + + import matplotlib.pylab as plt + + fci_absh = {} + cont_absh = {} + for istate in range(nstate+1): + for jstate in range(nstate+1): + if istate != jstate: + + st_label = str(istate)+str(jstate) + fci_absh[st_label] = [np.abs(fci_nac[i][st_label]).sum() for i in range(len(test_range))] + cont_absh[st_label] = [np.abs(cont_nac[i][st_label]).sum() for i in range(len(test_range))] - # Checks - assert np.allclose(en_exact,en_continuation_ms[0]) - assert np.allclose(grad_exact,grad_continuation_ms[0]) + # Colors + clr_st = {'01':'b', '10':'b', + '02':'r','20':'r', + '03':'pink','30':'pink', + '13':'y','31':'y', + '23':'violet','32':'violet', + '12':'g','21':'g'} + labelsize = 15 + # Plot + fig, axes = plt.subplots(nrows=2,ncols=2,sharex=True,sharey='row', + figsize=[10,10],gridspec_kw={'hspace':0.,'wspace':0}, + height_ratios=[1,1]) + + axes[0][0].plot(test_range,fci_en,'k',alpha=0.8) + axes[0][1].plot(test_range,cont_en,'k',alpha=0.8) + + for key, el in fci_absh.items(): + axes[1][0].plot(test_range,fci_absh[key],label=key,c=clr_st[key]) + axes[1][1].plot(test_range,cont_absh[key],label=key,c=clr_st[key]) - assert np.allclose(en_exc_exact,en_continuation_ms[nstate]) - assert np.allclose(grad_exc_exact,grad_continuation_ms[nstate]) - + axes[1][0].legend(loc='upper right') + + axes[0][0].set_title('FCI',fontsize=labelsize) + axes[0][1].set_title('EVcont',fontsize=labelsize) + axes[1][0].set_ylabel(r'$||\mathbf{d}_{ij}||$ (a$_0$$^{-1}$)',fontsize=labelsize) + axes[0][0].set_ylabel(r'Energy (Hartree)',fontsize=labelsize) + + axes[1][0].set_ylim(ymin=0,ymax=min(10,axes[1][0].get_ylim()[1])) + + plt.show() + + ''' + from pyscf import ci + from functools import reduce + + myhf1 = gto.M(atom='H 0 0 0; F 0 0 1.1', basis='6-31g', verbose=0).apply(scf.RHF).run() + ci1 = ci.CISD(myhf1).run() + print('CISD energy of mol1', ci1.e_tot) + + myhf2 = gto.M(atom='H 0 0 0; F 0 0 1.2', basis='6-31g', verbose=0).apply(scf.RHF).run() + ci2 = ci.CISD(myhf2).run() + print('CISD energy of mol2', ci2.e_tot) + + s12 = gto.intor_cross('cint1e_ovlp_sph', myhf1.mol, myhf2.mol) + s12 = reduce(np.dot, (myhf1.mo_coeff.T, s12, myhf2.mo_coeff)) + nmo = myhf2.mo_energy.size + nocc = myhf2.mol.nelectron // 2 + print(' = ', ci.cisd.overlap(ci1.ci, ci2.ci, nmo, nocc, s12)) + ''' ''' radius = 0.4 @@ -625,4 +925,74 @@ def get_mol(positions): ''' - \ No newline at end of file + + ''' + def nac_fd_FCI_old(mf,mol=None,nroots=None,dx=1e-6): + """ + Compute the nonadiabatic coupling from the central finite difference + """ + # Variables + if mol == None: + mol = mf.mol + if nroots == None: + nroots = mf.fcisolver.nroots + + mverbose = mol.verbose + mol.verbose = 0 + coord = mol.atom_coords() + + + # At given molecular coordinates + basis_0 = get_basis(mol,'canonical') + h1, h2 = get_integrals(mol, basis_0) + _, fcivec_0 = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) + + mol0 = mol.copy() + + nac_all = {} + for istate in range(nroots): + for jstate in range(nroots): + #print(istate) + de = [] + for ni in range(mol.natm): + de_i = [] + ptr = mol._atm[ni,gto.PTR_COORD] + for i in range(3): + # Positive + mol._env[ptr+i] = coord[ni,i] + dx + basis_pos = get_basis(mol,'canonical') + h1, h2 = get_integrals(mol, basis_pos) + _, fcivec_pos = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) + + # Single particle overlap + s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) + s12_pos = reduce(np.dot, (basis_0.T, s12, basis_pos)) + + # Negative + mol._env[ptr+i] = coord[ni,i] - dx + basis_neg = get_basis(mol,'canonical') + h1, h2 = get_integrals(mol, basis_neg) + _, fcivec_neg = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) + + # Single particle overlap + s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) + s12_neg = reduce(np.dot, (basis_0.T, s12, basis_neg)) + + # Overlaps + ov1a = overlap(fcivec_0[istate],fcivec_pos[jstate],mol.nao,mol.nelec,s12_pos) + ov1b = overlap(fcivec_0[istate],fcivec_neg[jstate],mol.nao,mol.nelec,s12_neg) + + # Central difference + de_i.append((ov1a-ov1b)/(2*dx)) + + mol._env[ptr+i] = coord[ni,i] + de.append(de_i) + + nac_all[str(istate)+str(jstate)] = np.array(de) + + mol.verbose = mverbose + + return nac_all + + + ''' \ No newline at end of file From 50f7f8bbca53725f795add4e833ed685d64b826c Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Fri, 20 Oct 2023 15:41:00 +0100 Subject: [PATCH 004/117] Speed of gradient computation for multiple states and NACs --- evcont/ab_initio_gradients_loewdin.py | 394 ++++++++++++++++++++++---- 1 file changed, 337 insertions(+), 57 deletions(-) diff --git a/evcont/ab_initio_gradients_loewdin.py b/evcont/ab_initio_gradients_loewdin.py index f67c307..3d7a80f 100644 --- a/evcont/ab_initio_gradients_loewdin.py +++ b/evcont/ab_initio_gradients_loewdin.py @@ -141,7 +141,8 @@ def get_one_el_grad_ao(mol): mol (pyscf.gto.Mole): The molecular system. Returns: - np.ndarray: The one-electron integral derivatives in the AO basis. + np.ndarray(nel,nel,nat,3): + The one-electron integral derivatives in the AO basis. """ hcore_gen = grad.RHF(scf.RHF(mol)).hcore_generator() @@ -166,7 +167,7 @@ def get_one_el_grad(mol, ao_mo_trafo=None, ao_mo_trafo_grad=None): orbitals. Returns: - numpy.ndarray + numpy.ndarray(nel,nel,nat,3): The gradient of the one-electron integrals. """ @@ -185,7 +186,6 @@ def get_one_el_grad(mol, ao_mo_trafo=None, ao_mo_trafo_grad=None): return h1_grad - def two_el_grad(h2_ao, two_rdm, ao_mo_trafo, ao_mo_trafo_grad, h2_ao_deriv, atm_slices): """ Calculate the two-electron integral gradient. @@ -246,11 +246,10 @@ def two_el_grad(h2_ao, two_rdm, ao_mo_trafo, ao_mo_trafo_grad, h2_ao_deriv, atm_ h2_grad_ao_b[:, i, slice[0] : slice[1], :] -= two_el_contraction_from_grad[ :, slice[0] : slice[1], : ] - + # Return the two-electron integral gradient return two_el_contraction + np.einsum("nmbb->mn", h2_grad_ao_b) - def get_grad_elec_OAO(mol, one_rdm, two_rdm, ao_mo_trafo=None, ao_mo_trafo_grad=None): """ Calculates the gradient of the electronic energy based on one- and two-rdms @@ -352,7 +351,7 @@ def get_energy_with_grad(mol, one_RDM, two_RDM, S, hermitian=True): # NEW MULTISTATE - SEPERATED FROM REST FOR TESTING ############################################################ -def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): +def get_multistate_energy_with_grad_old(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): """ Calculates the potential energy and its gradient w.r.t. nuclear positions of a molecule from the eigenvector continuation. @@ -402,8 +401,7 @@ def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitia grad_elec_all + grad.RHF(scf.RHF(mol)).grad_nuc(), ) - -def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): +def get_multistate_energy_with_grad_and_NAC_old(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): """ Calculates the potential energy and its gradient w.r.t. nuclear positions of a molecule from the eigenvector continuation. @@ -474,8 +472,281 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, nac_all ) +def get_two_el_grad(h2_ao, ao_mo_trafo, ao_mo_trafo_grad, h2_ao_deriv, atm_slices): + """ + Calculate the two-electron integral gradient. + + Args: + h2_ao (np.ndarray): Two-electron integrals in atomic orbital basis. + two_rdm (np.ndarray): Two-electron reduced density matrix. + ao_mo_trafo (np.ndarray): + Transformation matrix from atomic orbital to molecular orbital basis. + ao_mo_trafo_grad (np.ndarray): Gradient of the transformation matrix. + h2_ao_deriv (np.ndarray): + Derivative of the two-electron integrals with respect to nuclear + coordinates. + atm_slices (list): List of atom index slices. + + Returns: + np.ndarray: The two-electron gradient. + + """ + + two_el_contraction_ao = np.einsum( + "abcd,aimn,bj,ck,dl->ijklmn", + h2_ao, + ao_mo_trafo_grad, + ao_mo_trafo, + ao_mo_trafo, + ao_mo_trafo, + optimize="optimal", + ) + + two_el_contraction_ao += \ + np.transpose(two_el_contraction_ao,(1, 0, 2, 3,4,5)) +\ + np.transpose(two_el_contraction_ao,(3, 2, 1, 0,4,5)) +\ + np.transpose(two_el_contraction_ao,(2, 3, 0, 1,4,5)) + + two_el_contraction_from_grad_ao = np.einsum( + "nmbcd,ai,bj,ck,dl->ijklnma", + h2_ao_deriv, + ao_mo_trafo, + ao_mo_trafo, + ao_mo_trafo, + ao_mo_trafo, + optimize="optimal", + ) + + two_el_contraction_from_grad_ao += \ + np.transpose(two_el_contraction_from_grad_ao,(1, 0, 2, 3, 4,5,6)) +\ + np.transpose(two_el_contraction_from_grad_ao,(3, 2, 1, 0, 4,5,6)) +\ + np.transpose(two_el_contraction_from_grad_ao,(2, 3, 0, 1, 4,5,6)) + + h2_grad_ao_b = np.zeros((h2_ao.shape[0], h2_ao.shape[1], h2_ao.shape[2], h2_ao.shape[3], 3, len(atm_slices), h2_ao.shape[0], h2_ao.shape[1])) + for i, slice in enumerate(atm_slices): + # Subtract the gradient contribution from the contraction part + h2_grad_ao_b[:,:,:,:, :, i, slice[0] : slice[1], :] -= two_el_contraction_from_grad_ao[ + :,:,:,:, :, slice[0] : slice[1], : + ] + + h2_grad = two_el_contraction_ao + np.einsum( + "ijklnmbb->ijklmn", + h2_grad_ao_b, + optimize="optimal", + ) + + # Return the two-electron integral gradient + return h2_grad + +def get_one_and_two_el_grad(mol,ao_mo_trafo=None, ao_mo_trafo_grad=None): + """ + Calculates the gradient of the one- and two-electron integrals + in the OAO. + + Args: + mol (object): Molecule object. + ao_mo_trafo (ndarray, optional): + AO to MO transformation matrix. Is computed if not provided. + ao_mo_trafo_grad (ndarray, optional): + Gradient of AO to MO transformation matrix. Is computed if not provided. + + Returns: + tuple of np.ndarray: + One- and two-electron gradients. + """ + + if ao_mo_trafo is None: + ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) + + if ao_mo_trafo_grad is None: + ao_mo_trafo_grad = get_derivative_ao_mo_trafo(mol) + + h1_jac = get_one_el_grad( + mol, ao_mo_trafo=ao_mo_trafo, ao_mo_trafo_grad=ao_mo_trafo_grad + ) + + + h2_ao = mol.intor("int2e") + h2_ao_deriv = mol.intor("int2e_ip1", comp=3) + + h2_jac = get_two_el_grad( + h2_ao, + ao_mo_trafo, + ao_mo_trafo_grad, + h2_ao_deriv, + tuple( + [ + (mol.aoslice_by_atom()[i][2], mol.aoslice_by_atom()[i][3]) + for i in range(mol.natm) + ] + ), + ) + + + return (h1_jac, h2_jac) + + +def get_grad_elec_from_gradH(one_rdm, two_rdm, h1_jac, h2_jac): + """ + Calculates the continuation gradient from the one- and two-electron + integrals derivatives. + + Args: + mol (object): Molecule object. + one_RDM : numpy.ndarray + The one-electron t-RDM. + two_RDM : numpy.ndarray + The two-electron t-RDM. + h1_jac : numpy.ndarray + The gradient of the one-electron integrals. + h2_jac : numpy.ndarray + The gradient of the two-electron integrals. + + Returns: + ndarray: Electronic gradient. + """ + + + two_el_gradient = np.einsum( + "ijkl,ijklmn->mn", + two_rdm, + h2_jac, + optimize="optimal", + ) + + grad_elec = ( + np.einsum("ij,ijkl->kl", one_rdm, h1_jac, optimize="optimal") + + 0.5 * two_el_gradient + ) + + return grad_elec + +def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): + """ + Calculates the potential energy and its gradient w.r.t. nuclear positions of a + molecule from the eigenvector continuation. + + Args: + mol : pyscf.gto.Mole + The molecule object. + one_RDM : numpy.ndarray + The one-electron t-RDM. + two_RDM : numpy.ndarray + The two-electron t-RDM. + S : numpy.ndarray + The overlap matrix. + hermitian (bool, optional): + Whether problem is solved with eigh or with eig. Defaults to True. + + Returns: + tuple + A tuple containing the total potential energy and its gradient. + """ + # Construct h1 and h2 + ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) + + h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) + h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) + + en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) + + # Note: Get the gradient of one and two-electron integrals + h1_jac, h2_jac = get_one_and_two_el_grad(mol,ao_mo_trafo=ao_mo_trafo) + + grad_elec_all = [] + for i_state in range(nroots): + vec_i = vec[i_state,:] + + one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec_i, one_RDM, vec_i, optimize="optimal") + two_rdm_predicted = np.einsum( + "i,ijklmn,j->klmn", vec_i, two_RDM, vec_i, optimize="optimal" + ) + + grad_elec = get_grad_elec_from_gradH( + one_rdm_predicted, two_rdm_predicted, h1_jac, h2_jac + ) + grad_elec_all.append(grad_elec) + + grad_elec_all = np.array(grad_elec_all) + + return ( + en.real + mol.energy_nuc(), + grad_elec_all + grad.RHF(scf.RHF(mol)).grad_nuc(), + ) + +def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): + """ + Calculates the potential energy and its gradient w.r.t. nuclear positions of a + molecule from the eigenvector continuation. + Args: + mol : pyscf.gto.Mole + The molecule object. + one_RDM : numpy.ndarray + The one-electron t-RDM. + two_RDM : numpy.ndarray + The two-electron t-RDM. + S : numpy.ndarray + The overlap matrix. + hermitian (bool, optional): + Whether problem is solved with eigh or with eig. Defaults to True. + Returns: + tuple + A tuple containing the total potential energy and its gradient. + """ + # Construct h1 and h2 + ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) + + h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) + h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) + + en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) + + # Note: Get the gradient of one and two-electron integrals + h1_jac, h2_jac = get_one_and_two_el_grad(mol,ao_mo_trafo=ao_mo_trafo) + + grad_elec_all = [] + for i_state in range(nroots): + vec_i = vec[i_state,:] + + + grad_nuc = grad.RHF(scf.RHF(mol)).grad_nuc() + + grad_elec_all = [] + nac_all = {} + for i_state in range(nroots): + vec_i = vec[i_state,:] + + for j_state in range(nroots): + vec_j = vec[j_state,:] + + one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec_i, one_RDM, vec_j, optimize="optimal") + two_rdm_predicted = np.einsum( + "i,ijklmn,j->klmn", vec_i, two_RDM, vec_j, optimize="optimal" + ) + + grad_elec = get_grad_elec_from_gradH( + one_rdm_predicted, two_rdm_predicted, h1_jac, h2_jac + ) + + # Energy gradients + if i_state == j_state: + grad_elec_all.append(grad_elec) + + # Nonadiabatic couplings + else: + nac_ij = grad_elec/(en[j_state]-en[i_state]) + nac_all[str(i_state)+str(j_state)] = nac_ij + + + grad_all = np.array(grad_elec_all) + grad_nuc + + return ( + en.real + mol.energy_nuc(), + grad_all, + nac_all + ) if __name__ == '__main__': @@ -491,11 +762,13 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, from functools import reduce - CASE = 'NAC' - #CASE = 'Exc-Grad' + from time import time - nstate = 2 #1st excited state - nroots_evcont = 3 + #CASE = 'NAC' + CASE = 'Exc-Grad' + + nstate = 3 #1st excited state + nroots_evcont = 4 cibasis = 'canonical' natom = 6 @@ -579,7 +852,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): # Single particle basis overlap s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) s12_pos = np.einsum('ji,jk,kl->il',basis_0,s12,basis_pos) - + # Negative mol._env[ptr+i] = coord[ni,i] - dx @@ -630,12 +903,15 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): continuation_object.append_to_rdms(mol) if CASE == 'Exc-Grad': + + st = time() # Test the ground and excite state forces and gradients at training points for i, dist in enumerate(trainig_dists): positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] mol = get_mol(positions) # Predictions from mutistate continuation + """ en_continuation_ms_old, grad_continuation_ms_old = get_multistate_energy_with_grad( mol, continuation_object.one_rdm, @@ -643,7 +919,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): continuation_object.overlap, nroots=nstate+1 ) - + """ en_continuation_ms, grad_continuation_ms, nac_continuation = get_multistate_energy_with_grad_and_NAC( mol, continuation_object.one_rdm, @@ -651,6 +927,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): continuation_object.overlap, nroots=nstate+1 ) + #""" # Predictions from Hartree-Fock hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) @@ -659,7 +936,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): #en_exact, grad_exact = CASCI(mol.RHF(), natom, natom).nuc_grad_method().as_scanner()(mol) # Fci excited state reference values - mc = CASCI(mol.RHF(mol), natom, natom) + mc = CASCI(mol.RHF(), natom, natom) mc.fcisolver = fci.direct_spin0.FCI() mc.fcisolver.nroots = nstate+1 ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) @@ -681,6 +958,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): assert np.allclose(en_exc_exact,en_continuation_ms[nstate]) assert np.allclose(grad_exc_exact,grad_continuation_ms[nstate],atol=1e-6) + print(f'Time taken: {time()-st:.1f} sec') # Test NACs @@ -727,48 +1005,50 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): cont_en[i,:] = en_continuation_ms cont_nac += [nac_continuation] - import matplotlib.pylab as plt - - fci_absh = {} - cont_absh = {} - for istate in range(nstate+1): - for jstate in range(nstate+1): - if istate != jstate: - - st_label = str(istate)+str(jstate) - fci_absh[st_label] = [np.abs(fci_nac[i][st_label]).sum() for i in range(len(test_range))] - cont_absh[st_label] = [np.abs(cont_nac[i][st_label]).sum() for i in range(len(test_range))] - - # Colors - clr_st = {'01':'b', '10':'b', - '02':'r','20':'r', - '03':'pink','30':'pink', - '13':'y','31':'y', - '23':'violet','32':'violet', - '12':'g','21':'g'} - labelsize = 15 - # Plot - fig, axes = plt.subplots(nrows=2,ncols=2,sharex=True,sharey='row', - figsize=[10,10],gridspec_kw={'hspace':0.,'wspace':0}, - height_ratios=[1,1]) - - axes[0][0].plot(test_range,fci_en,'k',alpha=0.8) - axes[0][1].plot(test_range,cont_en,'k',alpha=0.8) - - for key, el in fci_absh.items(): - axes[1][0].plot(test_range,fci_absh[key],label=key,c=clr_st[key]) - axes[1][1].plot(test_range,cont_absh[key],label=key,c=clr_st[key]) - - axes[1][0].legend(loc='upper right') - - axes[0][0].set_title('FCI',fontsize=labelsize) - axes[0][1].set_title('EVcont',fontsize=labelsize) - axes[1][0].set_ylabel(r'$||\mathbf{d}_{ij}||$ (a$_0$$^{-1}$)',fontsize=labelsize) - axes[0][0].set_ylabel(r'Energy (Hartree)',fontsize=labelsize) - - axes[1][0].set_ylim(ymin=0,ymax=min(10,axes[1][0].get_ylim()[1])) - - plt.show() + ####################################################################### + # Plot NAC comparison + import matplotlib.pylab as plt + + fci_absh = {} + cont_absh = {} + for istate in range(nstate+1): + for jstate in range(nstate+1): + if istate != jstate: + + st_label = str(istate)+str(jstate) + fci_absh[st_label] = [np.abs(fci_nac[i][st_label]).sum() for i in range(len(test_range))] + cont_absh[st_label] = [np.abs(cont_nac[i][st_label]).sum() for i in range(len(test_range))] + + # Colors + clr_st = {'01':'b', '10':'b', + '02':'r','20':'r', + '03':'pink','30':'pink', + '13':'y','31':'y', + '23':'violet','32':'violet', + '12':'g','21':'g'} + labelsize = 15 + # Plot + fig, axes = plt.subplots(nrows=2,ncols=2,sharex=True,sharey='row', + figsize=[10,10],gridspec_kw={'hspace':0.,'wspace':0}, + height_ratios=[1,1]) + + axes[0][0].plot(test_range,fci_en,'k',alpha=0.8) + axes[0][1].plot(test_range,cont_en,'k',alpha=0.8) + + for key, el in fci_absh.items(): + axes[1][0].plot(test_range,fci_absh[key],label=key,c=clr_st[key]) + axes[1][1].plot(test_range,cont_absh[key],label=key,c=clr_st[key]) + + axes[1][0].legend(loc='upper right') + + axes[0][0].set_title('FCI',fontsize=labelsize) + axes[0][1].set_title('EVcont',fontsize=labelsize) + axes[1][0].set_ylabel(r'$||\mathbf{d}_{ij}||$ (a$_0$$^{-1}$)',fontsize=labelsize) + axes[0][0].set_ylabel(r'Energy (Hartree)',fontsize=labelsize) + + axes[1][0].set_ylim(ymin=0,ymax=min(10,axes[1][0].get_ylim()[1])) + + plt.show() ''' from pyscf import ci From 9e8bf91f250a1c344cd6d93474cc89f1aa1e9606 Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Mon, 23 Oct 2023 12:27:24 +0100 Subject: [PATCH 005/117] Added comparison and benchmarking between old and new implementation --- evcont/ab_initio_gradients_loewdin.py | 106 +++++++++++++++++++++++--- 1 file changed, 96 insertions(+), 10 deletions(-) diff --git a/evcont/ab_initio_gradients_loewdin.py b/evcont/ab_initio_gradients_loewdin.py index 3d7a80f..9005988 100644 --- a/evcont/ab_initio_gradients_loewdin.py +++ b/evcont/ab_initio_gradients_loewdin.py @@ -650,7 +650,8 @@ def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitia en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) - # Note: Get the gradient of one and two-electron integrals + # Get the gradient of one and two-electron integrals before contracting onto + # rdms of different states h1_jac, h2_jac = get_one_and_two_el_grad(mol,ao_mo_trafo=ao_mo_trafo) grad_elec_all = [] @@ -703,7 +704,8 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) - # Note: Get the gradient of one and two-electron integrals + # Get the gradient of one and two-electron integrals before contracting onto + # rdms and trmds of different states h1_jac, h2_jac = get_one_and_two_el_grad(mol,ao_mo_trafo=ao_mo_trafo) grad_elec_all = [] @@ -766,15 +768,15 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, #CASE = 'NAC' CASE = 'Exc-Grad' + #CASE = 'Time' - nstate = 3 #1st excited state - nroots_evcont = 4 + nstate = 2 #1st excited state + nroots_evcont = 3 cibasis = 'canonical' - natom = 6 + natom = 4 test_range = np.linspace(0.8, 3.0,20) - def get_mol(positions): mol = gto.Mole() @@ -902,6 +904,8 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): mol = get_mol(positions) continuation_object.append_to_rdms(mol) + print('Finished training') + if CASE == 'Exc-Grad': st = time() @@ -912,7 +916,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): # Predictions from mutistate continuation """ - en_continuation_ms_old, grad_continuation_ms_old = get_multistate_energy_with_grad( + en_continuation_ms, grad_continuation_ms = get_multistate_energy_with_grad( mol, continuation_object.one_rdm, continuation_object.two_rdm, @@ -927,8 +931,21 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): continuation_object.overlap, nroots=nstate+1 ) + + en_continuation_ms_old, grad_continuation_ms_old, nac_continuation_old = get_multistate_energy_with_grad_and_NAC_old( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) #""" - + + assert np.allclose(en_continuation_ms,en_continuation_ms_old) + assert np.allclose(grad_continuation_ms,grad_continuation_ms_old) + for key in nac_continuation.keys(): + assert np.allclose(nac_continuation[key],nac_continuation_old[key]) + # Predictions from Hartree-Fock hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) @@ -936,9 +953,15 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): #en_exact, grad_exact = CASCI(mol.RHF(), natom, natom).nuc_grad_method().as_scanner()(mol) # Fci excited state reference values - mc = CASCI(mol.RHF(), natom, natom) + mc = CASCI(mol.RHF(), natom,natom) + #mc = CASCI(mol.RHF(), 10,6) Li2 mc.fcisolver = fci.direct_spin0.FCI() mc.fcisolver.nroots = nstate+1 + #mc.fcisolver.nroots = 6 + #mc.fcisolver.conv_tol = 1.e-14 + #mc.fcisolver.max_space=30 + #mc.fcisolver.max_cycle=250 + ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) @@ -959,6 +982,69 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): assert np.allclose(grad_exc_exact,grad_continuation_ms[nstate],atol=1e-6) print(f'Time taken: {time()-st:.1f} sec') + + if CASE == 'Time': + + n = 200 + test_range = np.linspace(0.8, 3.0,n) + + st = time() + for i, test_dist in enumerate(test_range): + positions = [(x, 0.0, 0.0) for x in test_dist * np.arange(natom)] + mol = get_mol(positions) + h1, h2 = get_integrals(mol, get_basis(mol)) + """ + # Continuation + en_continuation_ms, _, nac_continuation = get_multistate_energy_with_grad_and_NAC( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + """ + # Continuation + en_continuation_ms, _ = get_multistate_energy_with_grad( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + #""" + tt = time()-st + print(f'Total time taken (new): {tt:.1f} sec') + print(f'Time per gradient (new): {tt/n/(nstate+1):.5f} sec') + + + st = time() + for i, test_dist in enumerate(test_range): + positions = [(x, 0.0, 0.0) for x in test_dist * np.arange(natom)] + mol = get_mol(positions) + h1, h2 = get_integrals(mol, get_basis(mol)) + """ + # Continuation + en_continuation_ms, _, nac_continuation = get_multistate_energy_with_grad_and_NAC_old( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + """ + # Continuation + en_continuation_ms, _ = get_multistate_energy_with_grad_old( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + #""" + tt = time()-st + print(f'Total time taken (old): {tt:.1f} sec') + print(f'Time per gradient (old): {tt/n/(nstate+1):.5f} sec') + # Test NACs @@ -1046,7 +1132,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): axes[1][0].set_ylabel(r'$||\mathbf{d}_{ij}||$ (a$_0$$^{-1}$)',fontsize=labelsize) axes[0][0].set_ylabel(r'Energy (Hartree)',fontsize=labelsize) - axes[1][0].set_ylim(ymin=0,ymax=min(10,axes[1][0].get_ylim()[1])) + axes[1][0].set_ylim(ymin=-0.2, ymax=min(10,axes[1][0].get_ylim()[1])) plt.show() From 444fb2182f8dbf8b9e72d912355a2fb4ad5864ed Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Thu, 26 Oct 2023 17:30:15 +0100 Subject: [PATCH 006/117] Clean up of the gradient scripts --- evcont/ab_initio_gradients_loewdin.py | 629 ++------------------------ 1 file changed, 46 insertions(+), 583 deletions(-) diff --git a/evcont/ab_initio_gradients_loewdin.py b/evcont/ab_initio_gradients_loewdin.py index 9005988..da83984 100644 --- a/evcont/ab_initio_gradients_loewdin.py +++ b/evcont/ab_initio_gradients_loewdin.py @@ -186,122 +186,6 @@ def get_one_el_grad(mol, ao_mo_trafo=None, ao_mo_trafo_grad=None): return h1_grad -def two_el_grad(h2_ao, two_rdm, ao_mo_trafo, ao_mo_trafo_grad, h2_ao_deriv, atm_slices): - """ - Calculate the two-electron integral gradient. - - Args: - h2_ao (np.ndarray): Two-electron integrals in atomic orbital basis. - two_rdm (np.ndarray): Two-electron reduced density matrix. - ao_mo_trafo (np.ndarray): - Transformation matrix from atomic orbital to molecular orbital basis. - ao_mo_trafo_grad (np.ndarray): Gradient of the transformation matrix. - h2_ao_deriv (np.ndarray): - Derivative of the two-electron integrals with respect to nuclear - coordinates. - atm_slices (list): List of atom index slices. - - Returns: - np.ndarray: The two-electron gradient. - - """ - - two_el_contraction = np.einsum( - "ijkl,abcd,aimn,bj,ck,dl->mn", - two_rdm - + np.transpose(two_rdm, (1, 0, 2, 3)) - + np.transpose(two_rdm, (3, 2, 1, 0)) - + np.transpose(two_rdm, (2, 3, 0, 1)), - h2_ao, - ao_mo_trafo_grad, - ao_mo_trafo, - ao_mo_trafo, - ao_mo_trafo, - optimize="optimal", - ) - - two_rdm_ao = np.einsum( - "ijkl,ai,bj,ck,dl->abcd", - two_rdm, - ao_mo_trafo, - ao_mo_trafo, - ao_mo_trafo, - ao_mo_trafo, - optimize="optimal", - ) - - two_el_contraction_from_grad = np.einsum( - "nmbcd,abcd->nma", - h2_ao_deriv, - two_rdm_ao - + np.transpose(two_rdm_ao, (1, 0, 3, 2)) - + np.transpose(two_rdm_ao, (2, 3, 0, 1)) - + np.transpose(two_rdm_ao, (3, 2, 1, 0)), - optimize="optimal", - ) - - h2_grad_ao_b = np.zeros((3, len(atm_slices), two_rdm.shape[0], two_rdm.shape[1])) - for i, slice in enumerate(atm_slices): - # Subtract the gradient contribution from the contraction part - h2_grad_ao_b[:, i, slice[0] : slice[1], :] -= two_el_contraction_from_grad[ - :, slice[0] : slice[1], : - ] - - # Return the two-electron integral gradient - return two_el_contraction + np.einsum("nmbb->mn", h2_grad_ao_b) - -def get_grad_elec_OAO(mol, one_rdm, two_rdm, ao_mo_trafo=None, ao_mo_trafo_grad=None): - """ - Calculates the gradient of the electronic energy based on one- and two-rdms - in the OAO. - - Args: - mol (object): Molecule object. - one_rdm (ndarray): One-electron reduced density matrix. - two_rdm (ndarray): Two-electron reduced density matrix. - ao_mo_trafo (ndarray, optional): - AO to MO transformation matrix. Is computed if not provided. - ao_mo_trafo_grad (ndarray, optional): - Gradient of AO to MO transformation matrix. Is computed if not provided. - - Returns: - ndarray: Electronic gradient. - """ - - if ao_mo_trafo is None: - ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) - - if ao_mo_trafo_grad is None: - ao_mo_trafo_grad = get_derivative_ao_mo_trafo(mol) - - h1_jac = get_one_el_grad( - mol, ao_mo_trafo=ao_mo_trafo, ao_mo_trafo_grad=ao_mo_trafo_grad - ) - - h2_ao = mol.intor("int2e") - h2_ao_deriv = mol.intor("int2e_ip1", comp=3) - - two_el_gradient = two_el_grad( - h2_ao, - two_rdm, - ao_mo_trafo, - ao_mo_trafo_grad, - h2_ao_deriv, - tuple( - [ - (mol.aoslice_by_atom()[i][2], mol.aoslice_by_atom()[i][3]) - for i in range(mol.natm) - ] - ), - ) - - grad_elec = ( - np.einsum("ij,ijkl->kl", one_rdm, h1_jac, optimize="optimal") - + 0.5 * two_el_gradient - ) - - return grad_elec - def get_energy_with_grad(mol, one_RDM, two_RDM, S, hermitian=True): """ @@ -332,13 +216,19 @@ def get_energy_with_grad(mol, one_RDM, two_RDM, S, hermitian=True): en, vec = approximate_ground_state(h1, h2, one_RDM, two_RDM, S, hermitian=hermitian) + # Get the gradient of one and two-electron integrals before contracting onto + # rdms of different states + h1_jac, h2_jac = get_one_and_two_el_grad(mol,ao_mo_trafo=ao_mo_trafo) + one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec, one_RDM, vec, optimize="optimal") two_rdm_predicted = np.einsum( "i,ijklmn,j->klmn", vec, two_RDM, vec, optimize="optimal" ) - grad_elec = get_grad_elec_OAO( - mol, one_rdm_predicted, two_rdm_predicted, ao_mo_trafo=ao_mo_trafo + + + grad_elec = get_grad_elec_from_gradH( + one_rdm_predicted, two_rdm_predicted, h1_jac, h2_jac ) return ( @@ -351,127 +241,6 @@ def get_energy_with_grad(mol, one_RDM, two_RDM, S, hermitian=True): # NEW MULTISTATE - SEPERATED FROM REST FOR TESTING ############################################################ -def get_multistate_energy_with_grad_old(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): - """ - Calculates the potential energy and its gradient w.r.t. nuclear positions of a - molecule from the eigenvector continuation. - - Args: - mol : pyscf.gto.Mole - The molecule object. - one_RDM : numpy.ndarray - The one-electron t-RDM. - two_RDM : numpy.ndarray - The two-electron t-RDM. - S : numpy.ndarray - The overlap matrix. - hermitian (bool, optional): - Whether problem is solved with eigh or with eig. Defaults to True. - - Returns: - tuple - A tuple containing the total potential energy and its gradient. - """ - # Construct h1 and h2 - ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) - - h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) - h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) - - en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) - - grad_elec_all = [] - for i_state in range(nroots): - vec_i = vec[i_state,:] - - one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec_i, one_RDM, vec_i, optimize="optimal") - two_rdm_predicted = np.einsum( - "i,ijklmn,j->klmn", vec_i, two_RDM, vec_i, optimize="optimal" - ) - - grad_elec = get_grad_elec_OAO( - mol, one_rdm_predicted, two_rdm_predicted, ao_mo_trafo=ao_mo_trafo - ) - grad_elec_all.append(grad_elec) - - grad_elec_all = np.array(grad_elec_all) - - return ( - en.real + mol.energy_nuc(), - grad_elec_all + grad.RHF(scf.RHF(mol)).grad_nuc(), - ) - -def get_multistate_energy_with_grad_and_NAC_old(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): - """ - Calculates the potential energy and its gradient w.r.t. nuclear positions of a - molecule from the eigenvector continuation. - - Args: - mol : pyscf.gto.Mole - The molecule object. - one_RDM : numpy.ndarray - The one-electron t-RDM. - two_RDM : numpy.ndarray - The two-electron t-RDM. - S : numpy.ndarray - The overlap matrix. - hermitian (bool, optional): - Whether problem is solved with eigh or with eig. Defaults to True. - - Returns: - tuple - A tuple containing the total potential energy and its gradient. - """ - # Construct h1 and h2 - ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) - - h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) - h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) - - en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) - - grad_elec_all = [] - for i_state in range(nroots): - vec_i = vec[i_state,:] - - - grad_nuc = grad.RHF(scf.RHF(mol)).grad_nuc() - - grad_elec_all = [] - nac_all = {} - for i_state in range(nroots): - vec_i = vec[i_state,:] - - for j_state in range(nroots): - vec_j = vec[j_state,:] - - one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec_i, one_RDM, vec_j, optimize="optimal") - two_rdm_predicted = np.einsum( - "i,ijklmn,j->klmn", vec_i, two_RDM, vec_j, optimize="optimal" - ) - - grad_elec = get_grad_elec_OAO( - mol, one_rdm_predicted, two_rdm_predicted, ao_mo_trafo=ao_mo_trafo - ) - - # Energy gradients - if i_state == j_state: - grad_elec_all.append(grad_elec) - - # Nonadiabatic couplings - else: - nac_ij = grad_elec/(en[j_state]-en[i_state]) - nac_all[str(i_state)+str(j_state)] = nac_ij - - - grad_all = np.array(grad_elec_all) + grad_nuc - - return ( - en.real + mol.energy_nuc(), - grad_all, - nac_all - ) - def get_two_el_grad(h2_ao, ao_mo_trafo, ao_mo_trafo_grad, h2_ao_deriv, atm_slices): """ Calculate the two-electron integral gradient. @@ -754,25 +523,24 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, # Some initial checks for the code from pyscf import gto, fci + from evcont.FCI_EVCont import FCI_EVCont_obj - from evcont.ab_initio_eigenvector_continuation import approximate_multistate_OAO + from evcont.electron_integral_utils import get_basis, get_integrals from pyscf.mcscf import CASCI from pyscf.fci.addons import overlap - from functools import reduce - + from time import time #CASE = 'NAC' CASE = 'Exc-Grad' - #CASE = 'Time' nstate = 2 #1st excited state nroots_evcont = 3 - cibasis = 'canonical' + cibasis = 'OAO' natom = 4 @@ -791,7 +559,22 @@ def get_mol(positions): return mol - def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): + def set_fd_overlap(mf, mol, coord, ptr, indices, mol0, basis_0, diff): + ni, i = indices + mol._env[ptr+i] = coord[ni,i] + diff + + basis_i = get_basis(mol,cibasis) + h1, h2 = get_integrals(mol, basis_i) + _, fcivec_i = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec, tol=1.e-14, max_space=30, nroots=6, max_cycle=250) + + # Single particle basis overlap + s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) + s12_pos = np.einsum('ji,jk,kl->il',basis_0,s12,basis_i) + + return fcivec_i, s12_pos + + + def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-7,cibasis='OAO'): """ Compute the nonadiabatic coupling from the central finite difference ( \braket{\psi_a(x)|psi_b(x+dx)} - \braket{\psi_a(x)|psi_b(x-dx)} ) / (2*dx) @@ -845,36 +628,28 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): ptr = mol._atm[ni,gto.PTR_COORD] for i in range(3): # Positive - mol._env[ptr+i] = coord[ni,i] + dx - - basis_pos = get_basis(mol,cibasis) - h1, h2 = get_integrals(mol, basis_pos) - _, fcivec_pos = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec, tol=1.e-14, max_space=30, nroots=6, max_cycle=250) - - # Single particle basis overlap - s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) - s12_pos = np.einsum('ji,jk,kl->il',basis_0,s12,basis_pos) + fcivec_dx, s12_dx = set_fd_overlap(mf, mol, coord, ptr, (ni,i), mol0, basis_0, dx) + fcivec_2dx, s12_2dx = set_fd_overlap(mf, mol, coord, ptr, (ni,i), mol0, basis_0, 2*dx) + fcivec_3dx, s12_3dx = set_fd_overlap(mf, mol, coord, ptr, (ni,i), mol0, basis_0, 3*dx) # Negative - mol._env[ptr+i] = coord[ni,i] - dx - - basis_neg = get_basis(mol,cibasis) - h1, h2 = get_integrals(mol, basis_neg) - _, fcivec_neg = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec, tol=1.e-14, max_space=30, nroots=6, max_cycle=250) + fcivec_negdx, s12_negdx = set_fd_overlap(mf, mol, coord, ptr, (ni,i), mol0, basis_0, -dx) + fcivec_neg2dx, s12_neg2dx = set_fd_overlap(mf, mol, coord, ptr, (ni,i), mol0, basis_0, -2*dx) + fcivec_neg3dx, s12_neg3dx = set_fd_overlap(mf, mol, coord, ptr, (ni,i), mol0, basis_0, -3*dx) - # Single particle basis overlap - s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) - s12_neg = np.einsum('ji,jk,kl->il',basis_0,s12,basis_neg) - # Iterate over different states for istate in range(nroots): for jstate in range(nroots): # Overlaps - ov1a = overlap(fcivec_0[istate],fcivec_pos[jstate],mol0.nao,mol0.nelec,s12_pos) - ov1b = overlap(fcivec_0[istate],fcivec_neg[jstate],mol0.nao,mol0.nelec,s12_neg) + ovdx = overlap(fcivec_0[istate],fcivec_dx[jstate],mol0.nao,mol0.nelec,s12_dx) + ovnegdx = overlap(fcivec_0[istate],fcivec_negdx[jstate],mol0.nao,mol0.nelec,s12_negdx) + ov2dx = overlap(fcivec_0[istate],fcivec_2dx[jstate],mol0.nao,mol0.nelec,s12_2dx) + ovneg2dx = overlap(fcivec_0[istate],fcivec_neg2dx[jstate],mol0.nao,mol0.nelec,s12_neg2dx) + ov3dx = overlap(fcivec_0[istate],fcivec_3dx[jstate],mol0.nao,mol0.nelec,s12_3dx) + ovneg3dx = overlap(fcivec_0[istate],fcivec_neg3dx[jstate],mol0.nao,mol0.nelec,s12_neg3dx) - # Central difference - nac_all[str(istate)+str(jstate)][ni,i] = (ov1a-ov1b)/(2*dx) + # Central difference - 6th order + nac_all[str(istate)+str(jstate)][ni,i] = (-ov3dx +9*ov2dx -45*ovdx +45*ovnegdx -9*ovneg2dx +ovneg3dx)/(60*dx) # Return to original coordinates for next iterations mol._env[ptr+i] = coord[ni,i] @@ -882,8 +657,8 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): mol.verbose = mverbose return nac_all - + # training geometries equilibrium_dist = 1.78596 equilibrium_pos = np.array([(x * equilibrium_dist, 0.0, 0.0) for x in range(10)]) @@ -915,15 +690,6 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): mol = get_mol(positions) # Predictions from mutistate continuation - """ - en_continuation_ms, grad_continuation_ms = get_multistate_energy_with_grad( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - """ en_continuation_ms, grad_continuation_ms, nac_continuation = get_multistate_energy_with_grad_and_NAC( mol, continuation_object.one_rdm, @@ -932,20 +698,6 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): nroots=nstate+1 ) - en_continuation_ms_old, grad_continuation_ms_old, nac_continuation_old = get_multistate_energy_with_grad_and_NAC_old( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - #""" - - assert np.allclose(en_continuation_ms,en_continuation_ms_old) - assert np.allclose(grad_continuation_ms,grad_continuation_ms_old) - for key in nac_continuation.keys(): - assert np.allclose(nac_continuation[key],nac_continuation_old[key]) - # Predictions from Hartree-Fock hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) @@ -980,73 +732,9 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): assert np.allclose(en_exc_exact,en_continuation_ms[nstate]) assert np.allclose(grad_exc_exact,grad_continuation_ms[nstate],atol=1e-6) - + print(f'Time taken: {time()-st:.1f} sec') - if CASE == 'Time': - - n = 200 - test_range = np.linspace(0.8, 3.0,n) - - st = time() - for i, test_dist in enumerate(test_range): - positions = [(x, 0.0, 0.0) for x in test_dist * np.arange(natom)] - mol = get_mol(positions) - h1, h2 = get_integrals(mol, get_basis(mol)) - """ - # Continuation - en_continuation_ms, _, nac_continuation = get_multistate_energy_with_grad_and_NAC( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - """ - # Continuation - en_continuation_ms, _ = get_multistate_energy_with_grad( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - #""" - tt = time()-st - print(f'Total time taken (new): {tt:.1f} sec') - print(f'Time per gradient (new): {tt/n/(nstate+1):.5f} sec') - - - st = time() - for i, test_dist in enumerate(test_range): - positions = [(x, 0.0, 0.0) for x in test_dist * np.arange(natom)] - mol = get_mol(positions) - h1, h2 = get_integrals(mol, get_basis(mol)) - """ - # Continuation - en_continuation_ms, _, nac_continuation = get_multistate_energy_with_grad_and_NAC_old( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - """ - # Continuation - en_continuation_ms, _ = get_multistate_energy_with_grad_old( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - #""" - tt = time()-st - print(f'Total time taken (old): {tt:.1f} sec') - print(f'Time per gradient (old): {tt/n/(nstate+1):.5f} sec') - - - # Test NACs if CASE == 'NAC': @@ -1112,6 +800,7 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): '13':'y','31':'y', '23':'violet','32':'violet', '12':'g','21':'g'} + labelsize = 15 # Plot fig, axes = plt.subplots(nrows=2,ncols=2,sharex=True,sharey='row', @@ -1135,230 +824,4 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-6,cibasis='canonical'): axes[1][0].set_ylim(ymin=-0.2, ymax=min(10,axes[1][0].get_ylim()[1])) plt.show() - - ''' - from pyscf import ci - from functools import reduce - - myhf1 = gto.M(atom='H 0 0 0; F 0 0 1.1', basis='6-31g', verbose=0).apply(scf.RHF).run() - ci1 = ci.CISD(myhf1).run() - print('CISD energy of mol1', ci1.e_tot) - - myhf2 = gto.M(atom='H 0 0 0; F 0 0 1.2', basis='6-31g', verbose=0).apply(scf.RHF).run() - ci2 = ci.CISD(myhf2).run() - print('CISD energy of mol2', ci2.e_tot) - - s12 = gto.intor_cross('cint1e_ovlp_sph', myhf1.mol, myhf2.mol) - s12 = reduce(np.dot, (myhf1.mo_coeff.T, s12, myhf2.mo_coeff)) - nmo = myhf2.mo_energy.size - nocc = myhf2.mol.nelectron // 2 - print(' = ', ci.cisd.overlap(ci1.ci, ci2.ci, nmo, nocc, s12)) - ''' - - ''' - radius = 0.4 - #radius_l = [0.1,0.4] - - n_data_points = 50 - seed = 1 - - norb = nelec = 10 - - - - rng = np.random.default_rng(seed) - - - - # Testing - en_exact_l = []; grad_exact_l = [] - en_continuation_l = []; grad_continuation_l = [] - - en_exc_exact_l = []; grad_exc_exact_l = [] - en_continuation_ms_l = []; grad_continuation_ms_l = [] - en_continuation_exc_l = []; grad_continuation_exc_l = [] - - for i in range(n_data_points): - # Sample a new test geometry - displacement_theta = rng.random(size=(10)) * np.pi - displacement_phi = rng.random(size=(10)) * 2 * np.pi - - sampled_displacement_x = ( - radius * np.sin(displacement_theta) * np.cos(displacement_phi) - ) - sampled_displacement_y = ( - radius * np.sin(displacement_theta) * np.sin(displacement_phi) - ) - sampled_displacement_z = radius * np.cos(displacement_theta) - - sampled_displacement = np.stack( - (sampled_displacement_x, sampled_displacement_y, sampled_displacement_z), - axis=-1, - ) - - sampled_pos = equilibrium_pos + sampled_displacement - mol = get_mol(sampled_pos) - - # Predictions from continuation - en_continuation, grad_continuation = get_energy_with_grad( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - ) - - # Predictions from mutistate continuation - en_continuation_ms, grad_continuation_ms = get_multistate_energy_with_grad( - mol, - continuation_object.one_rdm, - continuation_object.two_rdm, - continuation_object.overlap, - nroots=nstate+1 - ) - - # Predictions from Hartree-Fock - hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) - - # Fci reference values - en_exact, grad_exact = CASCI(mol.RHF(), 10, 10).nuc_grad_method().as_scanner()(mol) - - # Fci excited state reference values - mc = CASCI(mol.RHF(mol), 10, 10) - mc.fcisolver.nroots = nstate+2 - ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) - #ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) - - en_exc_exact, grad_exc_exact = ci_scan_exc(mol) - #en_exact, grad_exact = ci_scan_0(mol) - - # Save - en_exact_l.append(en_exact) - grad_exact_l.append(grad_exact) - en_continuation_l.append(en_continuation) - grad_continuation_l.append(grad_continuation) - - en_continuation_ms_l.append(np.atleast_1d(en_continuation_ms)[0]) - grad_continuation_ms_l.append(grad_continuation_ms[0,:,:]) - - if nstate > 0: - en_continuation_exc_l.append(np.atleast_1d(en_continuation_ms)[nstate]) - grad_continuation_exc_l.append(grad_continuation_ms[nstate,:,:]) - en_exc_exact_l.append(en_exc_exact) - grad_exc_exact_l.append(grad_exc_exact) - - grad_continuation_l = np.array(grad_continuation_l) - grad_exact_l = np.array(grad_exact_l) - en_continuation_l = np.array(en_continuation_l) - en_exact_l = np.array(en_exact_l) - - grad_continuation_ms_l = np.array(grad_continuation_ms_l) - en_continuation_ms_l = np.array(en_continuation_ms_l) - grad_continuation_exc_l = np.array(grad_continuation_exc_l) - en_continuation_exc_l = np.array(en_continuation_exc_l) - - en_exc_exact_l = np.array(en_exc_exact_l) - grad_exc_exact_l = np.array(grad_exc_exact_l) - - # - assert np.allclose(grad_continuation_ms_l,grad_continuation_l) - - # Compute the differences - grad_diff = np.abs(grad_continuation_l - grad_exact_l) - en_diff = en_continuation_l - en_exact_l - en_diff_rel = np.abs(en_diff/en_exact_l) - - grad_ms_diff = np.abs(grad_continuation_ms_l - grad_exact_l) - en_ms_diff = en_continuation_ms_l - en_exact_l - - grad_exc_diff = np.abs(grad_continuation_exc_l - grad_exc_exact_l) - en_exc_diff = en_continuation_exc_l - en_exc_exact_l - en_exc_diff_rel = np.abs(en_exc_diff/en_exc_exact_l) - - - print(f'Force difference - ground state: {grad_diff.mean():.4e} ({grad_diff.min():.4e} - {grad_diff.max():.4e})') - print(f'Energy difference - ground state: {en_diff.mean():.4e} ({en_diff.min():.4e} - {en_diff.max():.4e})') - print(f'Energy difference - ground state: {en_diff_rel.mean():.4e} ({en_diff_rel.min():.4e} - {en_diff_rel.max():.4e})') - - print('-- Multistate') - print(f'Force difference - ground state: {grad_ms_diff.mean():.4e} ({grad_ms_diff.min():.4e} - {grad_ms_diff.max():.4e})') - print(f'Energy difference - ground state: {en_ms_diff.mean():.4e} ({en_ms_diff.min():.4e} - {en_ms_diff.max():.4e})') - - - print('-- Multistate - excited') - print(f'Force difference - excited state: {grad_exc_diff.mean():.4e} ({grad_exc_diff.min():.4e} - {grad_exc_diff.max():.4e})') - print(f'Energy difference - excited state: {en_exc_diff.mean():.4e} ({en_exc_diff.min():.4e} - {en_exc_diff.max():.4e})') - print(f'Relative energy difference - excited state: {en_exc_diff_rel.mean():.4e} ({en_exc_diff_rel.min():.4e} - {en_exc_diff_rel.max():.4e})') - - - ''' - - ''' - def nac_fd_FCI_old(mf,mol=None,nroots=None,dx=1e-6): - """ - Compute the nonadiabatic coupling from the central finite difference - """ - # Variables - if mol == None: - mol = mf.mol - if nroots == None: - nroots = mf.fcisolver.nroots - - mverbose = mol.verbose - mol.verbose = 0 - coord = mol.atom_coords() - - - # At given molecular coordinates - basis_0 = get_basis(mol,'canonical') - h1, h2 = get_integrals(mol, basis_0) - _, fcivec_0 = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) - - mol0 = mol.copy() - - nac_all = {} - for istate in range(nroots): - for jstate in range(nroots): - #print(istate) - de = [] - for ni in range(mol.natm): - de_i = [] - ptr = mol._atm[ni,gto.PTR_COORD] - for i in range(3): - # Positive - mol._env[ptr+i] = coord[ni,i] + dx - basis_pos = get_basis(mol,'canonical') - h1, h2 = get_integrals(mol, basis_pos) - _, fcivec_pos = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) - - # Single particle overlap - s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) - s12_pos = reduce(np.dot, (basis_0.T, s12, basis_pos)) - - # Negative - mol._env[ptr+i] = coord[ni,i] - dx - basis_neg = get_basis(mol,'canonical') - h1, h2 = get_integrals(mol, basis_neg) - _, fcivec_neg = mf.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) - - # Single particle overlap - s12 = gto.intor_cross('cint1e_ovlp_sph', mol0, mol) - s12_neg = reduce(np.dot, (basis_0.T, s12, basis_neg)) - - # Overlaps - ov1a = overlap(fcivec_0[istate],fcivec_pos[jstate],mol.nao,mol.nelec,s12_pos) - ov1b = overlap(fcivec_0[istate],fcivec_neg[jstate],mol.nao,mol.nelec,s12_neg) - - # Central difference - de_i.append((ov1a-ov1b)/(2*dx)) - - mol._env[ptr+i] = coord[ni,i] - de.append(de_i) - - nac_all[str(istate)+str(jstate)] = np.array(de) - - mol.verbose = mverbose - - return nac_all - - - ''' \ No newline at end of file + \ No newline at end of file From 51ecc5e236920e61640243236c5be56d1276e460 Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Thu, 26 Oct 2023 17:31:51 +0100 Subject: [PATCH 007/117] Dipole moments and oscillator strengths from continuation --- evcont/excited_utils.py | 292 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 292 insertions(+) create mode 100644 evcont/excited_utils.py diff --git a/evcont/excited_utils.py b/evcont/excited_utils.py new file mode 100644 index 0000000..cc15f38 --- /dev/null +++ b/evcont/excited_utils.py @@ -0,0 +1,292 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Tue Oct 24 15:01:50 2023 + +@author: katalar +""" + +import numpy as np + +import numpy.linalg as LA + +from pyscf import gto + +from pyscf.scf import hf + +from evcont.FCI_EVCont import FCI_EVCont_obj + +from evcont.ab_initio_eigenvector_continuation import approximate_multistate_OAO + +from evcont.electron_integral_utils import get_basis, get_integrals + +import sys + + +def make_trdm1(mol, one_rdm, vec_i, vec_j): + """ + Predicted 1-body transition reduced density matrices from eigenvector continuation + in the AO basis (converted from OAO basis) + + Input: + mol: pyscf.gto.Mole() + Molecule object + one_rdm: Training one-rdm matrix ndarray(ntrain, ntrain, nao, nao) + One or a list of 1-body reduced density matrices + + Returns: + predicted_one_trdm_ao: ndarray(nao, nao) + Predicted 1-body transition reduced density matrix + """ + + basis = get_basis(mol) + + predicted_one_trdm = np.einsum("i,ijkl,j->kl", vec_i, one_rdm, vec_j, optimize="optimal") + # Convert to AO basis + #predicted_one_trdm_ao = np.einsum("ji,jk,kl->il",basis, predicted_one_trdm, basis, optimize="optimal") + predicted_one_trdm_ao = basis.dot(predicted_one_trdm).dot(basis.T) + + return predicted_one_trdm_ao + +def make_rdm1(mol, one_rdm, vec): + """ + Predicted 1-body reduced density matrices from eigenvector continuation + in the AO basis (converted from OAO basis) + """ + + #basis = get_basis(mol) + #predicted_one_rdm = np.einsum("i,ijkl,j->kl", vec, one_rdm, vec, optimize="optimal") + #predicted_one_rdm = np.einsum("ji,jk,kl->il",basis, predicted_one_rdm, basis, optimize="optimal") + + predicted_one_rdm = make_trdm1(mol, one_rdm, vec, vec) + + return predicted_one_rdm + + +def trans_dip_moment(mol, one_trdm_inp): + + # Set gauge for dipole integrals + charges = mol.atom_charges() + coords = mol.atom_coords() + nuc_charge_center = np.einsum('z,zx->x', charges, coords) / charges.sum() + mol.set_common_orig_(nuc_charge_center) + dip_ints = mol.intor('cint1e_r_sph', comp=3) + + single = True + if not isinstance(one_trdm_inp,list): + one_trdm_l = [one_trdm_inp] + else: + one_trdm_l = one_trdm_inp + single = False + + # Iterate over one_rdm s + mol_tdip_l = [] + for one_trdm in one_trdm_l: + el_tdip = np.einsum('xij,ji->x', dip_ints, one_trdm).real + mol_tdip_l += [el_tdip] + + if not single: + return mol_tdip_l + else: + return mol_tdip_l[0] + + #return dip_moment(mol, one_trdm_inp) + #return [hf.dip_moment(mol, nn, unit='au') for nn in one_trdm_inp] + + +def dip_moment(mol, one_rdm_inp): + """ + Compute dipole moment from 1-body reduced density matrices + (Based on pyscf implementation) + + Input: + mol: pyscf.gto.Mole() + Molecule object + one_rdm_inp: list of ndarray(mol.nao, mol.nao) or ndarray(mol.nao, mol.nao) + One or a list of 1-body reduced density matrices + + Returns: + mol_dip or mol_dip_l: ndarray(3,) or list of ndarray(3,) + Dipole moments of the molecule (units A.U.) + """ + + charges = mol.atom_charges() + coords = mol.atom_coords() + nucl_dip = np.einsum('i,ix->x', charges, coords) + + with mol.with_common_orig((0,0,0)): + ao_dip = mol.intor_symmetric('int1e_r', comp=3) + + single = True + if not isinstance(one_rdm_inp,list): + one_rdm_l = [one_rdm_inp] + else: + one_rdm_l = one_rdm_inp + single = False + + # Iterate over one_rdm s + mol_dip_l = [] + for one_rdm in one_rdm_l: + el_dip = np.einsum('xij,ji->x', ao_dip, one_rdm).real + mol_dip = nucl_dip - el_dip + mol_dip_l += [mol_dip] + + if not single: + return mol_dip_l + else: + return mol_dip_l[0] + + #dipole_mom = hf.dip_moment(mol, one_rone_rdm, unit='au') + #return dipole_mom + +def oscillator_strength(en_i, en_j, tran_dipole): + """ + Compute the oscillator strength from the energies and transition dipole moment + f_ij = 2/3 (E_i - E_j) * | t_ij |^2 + + """ + + return 2/3. * (en_i-en_j)* LA.norm(tran_dipole)**2. + + +def print_excited(en, dip_mom, trans_dip, osc_str=None): + """ + Print excited state information from eigenvector continuations + """ + + nstate = len(en) + # Add dummy first element for ground state index + trans_dip_n = [np.array([0.,0.,0.])] + trans_dip + if osc_str is not None: + osc_str_n = [0.] + osc_str + + if osc_str is None: + pr_format = '{:5} {:8.5f} {:6.3f} {:6.3f} {:6.3f} |{:8.5f} {:6.3f} {:6.3f} {:6.3f} |{:8.5f}' + print('{:6} {:15} {:25} {:30}'.format('state','DeltaE (H)','dipole moment (au)','transition dipole moment (au)')) + for i in range(nstate): + print(pr_format.format(i, en[i]-en[0],*dip_mom[i],LA.norm(dip_mom[i]),*trans_dip_n[i],LA.norm(trans_dip_n[i]))) + print() + + else: + pr_format = '{:5} {:8.5f} {:6.3f} {:6.3f} {:6.3f} |{:8.5f} {:6.3f} {:6.3f} {:6.3f} |{:8.5f} {:8.5f} ' + print('{:6} {:15} {:25} {:30}'.format('state','DeltaE (H)','dipole moment (au)','transition dipole moment (au)')) + for i in range(nstate): + print(pr_format.format(i, en[i]-en[0],*dip_mom[i],LA.norm(dip_mom[i]),*trans_dip_n[i],LA.norm(trans_dip_n[i]),osc_str_n[i])) + print() + + +if __name__ == '__main__': + + from pyscf import fci + + cibasis='canonical' + nroots_evcont = 6 + cisolver = fci.direct_spin0.FCI() + + natom = 2 # Fixed, don't change + + def get_mol(geometry): + mol = gto.Mole() + + mol.build( + atom=[ + ("Li", geometry[0]), + ("H", geometry[1]), + ], + #basis="aug-cc-pVDZ", + basis="cc-pVDZ", + #basis="631-G*", + #basis="sto-6g", + symmetry=True, + unit="Bohr", + verbose=0 + ) + + return mol + + ang2bohr = 1.88973 + equilibrium_dist = 1.5957*ang2bohr + + #equilibrium_dist = 1.78596 + + equilibrium_pos = np.array([(x * equilibrium_dist, 0.0, 0.0) for x in range(10)]) + + training_stretches = np.array([0.0, 0.5, -0.5, 1.0, -1.0]) + + trainig_dists = equilibrium_dist + training_stretches + + #trainig_dists = [1.0, 1.8, 2.6] + + continuation_object = FCI_EVCont_obj(nroots=nroots_evcont, + cibasis=cibasis, + cisolver=cisolver) + + + # Generate training data + prepare training models + for i, dist in enumerate(trainig_dists): + positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] + mol = get_mol(positions) + continuation_object.append_to_rdms(mol) + + for di, dist in enumerate(trainig_dists): + print() + print('Training dist: %.3f'%dist) + print() + + positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] + mol = get_mol(positions) + + basis = get_basis(mol,basis_type=cibasis) + h1, h2 = get_integrals(mol, basis) + + # Continuation + en, vec = approximate_multistate_OAO(mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nroots_evcont) + + # Continuation dipole moment from one-rdms of individual states + one_rdm_predicted_l = [make_rdm1(mol, continuation_object.one_rdm, vec[ii]) for ii in range(len(vec))] + dipole_moment_predicted_l = dip_moment(mol,one_rdm_predicted_l) + + # Transition rdms and dipole moments from ground to excited states + one_trdm_predicted_l = [make_trdm1(mol, continuation_object.one_rdm, vec[0], vec[ii]) for ii in range(1,len(vec))] + transition_dipmoment_predicted_l = trans_dip_moment(mol, one_trdm_predicted_l) + + # Oscillator strength + osc_strength_predicted_l = [oscillator_strength(en[ii], en[0], transition_dipmoment_predicted_l[ii-1]) for ii in range(1,len(vec))] + + print_excited(en,dipole_moment_predicted_l, transition_dipmoment_predicted_l,osc_strength_predicted_l) + #print() + + # FCI + e_all, fcivec_all = cisolver.kernel(h1, h2, mol.nao, mol.nelec, + nroots=nroots_evcont,) + #tol = 1.e-14,max_space=30, + #max_cycle=250) + e_all += mol.energy_nuc() + assert np.allclose(e_all, en) + + one_rdm_l = [cisolver.make_rdm1(fcivec_all[ii],mol.nao,mol.nelec) for ii in range(len(fcivec_all))] + one_rdm_l = [basis.dot(one_rdm_l[ii]).dot(basis.T) for ii in range(len(one_rdm_l))] + + #dipole_moment_l = [dip_moment(mol,one_rdm_l[i]) for i in range(len(one_rdm_l))] + dipole_moment_l = dip_moment(mol,one_rdm_l) + + # Transition dipole moment + one_trdm_l = [cisolver.trans_rdm1(fcivec_all[0],fcivec_all[ii],mol.nao,mol.nelec) for ii in range(1,len(fcivec_all))] + one_trdm_l = [basis.dot(one_trdm_l[ii]).dot(basis.T) for ii in range(len(one_trdm_l))] + #one_trdm_l = [np.einsum("ji,jk,kl->il",basis, one_trdm_l[ii], basis, optimize="optimal") for ii in range(len(one_trdm_l))] + + transition_dipmoment_l = trans_dip_moment(mol, one_trdm_l) + + osc_strength_l = [oscillator_strength(e_all[ii], e_all[0], transition_dipmoment_l[ii-1]) for ii in range(1,len(fcivec_all))] + + print_excited(e_all,dipole_moment_l, transition_dipmoment_l,osc_strength_l) + + assert np.allclose(dipole_moment_l,dipole_moment_predicted_l) + + #assert np.allclose(transition_dipmoment_l,transition_dipmoment_predicted_l) + + #1/0 From f0bed9789394f202973669fce3fd72325e141dbd Mon Sep 17 00:00:00 2001 From: Kemal Atalar Date: Tue, 31 Oct 2023 17:54:38 +0000 Subject: [PATCH 008/117] Testing continuation NACs against CASSCF NACs --- scripts/NAC/H4/compare.py | 203 +++++++++++++++++++++++++++++++ scripts/NAC/H4/run_NAC_molcas.py | 119 ++++++++++++++++++ scripts/NAC/H4/test_NACs.pkl | Bin 0 -> 95381 bytes 3 files changed, 322 insertions(+) create mode 100644 scripts/NAC/H4/compare.py create mode 100644 scripts/NAC/H4/run_NAC_molcas.py create mode 100644 scripts/NAC/H4/test_NACs.pkl diff --git a/scripts/NAC/H4/compare.py b/scripts/NAC/H4/compare.py new file mode 100644 index 0000000..595cb04 --- /dev/null +++ b/scripts/NAC/H4/compare.py @@ -0,0 +1,203 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Tue Oct 31 15:12:36 2023 + +Benchmark FCI NACs against OpenMOLCAS CASSCF NACs with full active space + +@author: katalar +""" + +import numpy as np + +from pyscf import gto, fci + +from evcont.FCI_EVCont import FCI_EVCont_obj + +from evcont.electron_integral_utils import get_basis, get_integrals + +from evcont.ab_initio_gradients_loewdin import get_multistate_energy_with_grad_and_NAC + +from pyscf.mcscf import CASCI + +import pickle + +from time import time + + +nstate = 2 #1st excited state +nroots_evcont = 3 +cibasis = 'OAO' + +natom = 4 + +test_range = np.linspace(0.8, 3.0,20) +#test_range = np.linspace(0.4, 1.5,20) + +def get_mol(positions): + mol = gto.Mole() + + mol.build( + atom=[("H", pos) for pos in positions], + basis="sto-3g", + symmetry=False, + unit="Bohr", + verbose=0 + ) + + return mol + + +equilibrium_dist = 1.78596 +#equilibrium_dist = + +equilibrium_pos = np.array([(x * equilibrium_dist, 0.0, 0.0) for x in range(10)]) + +#training_stretches = np.array([0.0, 0.5, -0.5, 1.0, -1.0]) +#trainig_dists = equilibrium_dist + training_stretches + +trainig_dists = [1.0, 1.8, 2.6] + +# New angstrom ones +#trainig_dists = [0.5,0.9,1.3] + +continuation_object = FCI_EVCont_obj(nroots=nroots_evcont, + cibasis=cibasis) + +# Generate training data + prepare training models +for i, dist in enumerate(trainig_dists): + positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] + mol = get_mol(positions) + continuation_object.append_to_rdms(mol) + +print('Finished training') + +train_nac = [] +train_grad = [] +for i, test_dist in enumerate(trainig_dists): + print(i) + positions = [(x, 0.0, 0.0) for x in test_dist * np.arange(natom)] + + mol = get_mol(positions) + h1, h2 = get_integrals(mol, get_basis(mol)) + + # Continuation + en_continuation_ms, grad_continuation, nac_continuation = get_multistate_energy_with_grad_and_NAC( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + + #cont_en[i,:] = en_continuation_ms + train_nac += [nac_continuation] + train_grad += [grad_continuation] + +fci_en = np.zeros([len(test_range),nstate+1]) +fci_nac = [] +cont_en = np.zeros([len(test_range),nstate+1]) +cont_nac = [] + +for i, test_dist in enumerate(test_range): + print(i) + positions = [(x, 0.0, 0.0) for x in test_dist * np.arange(natom)] + + mol = get_mol(positions) + h1, h2 = get_integrals(mol, get_basis(mol)) + + # Continuation + en_continuation_ms, _, nac_continuation = get_multistate_energy_with_grad_and_NAC( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap, + nroots=nstate+1 + ) + + cont_en[i,:] = en_continuation_ms + cont_nac += [nac_continuation] + + # FCI ones + mc = CASCI(mol.RHF(), natom, natom) + mc.fcisolver = fci.direct_spin0.FCI() + mc.fcisolver.nroots = nstate+1 + #ci_scan_exc = mc.nuc_grad_method().as_scanner(state=nstate) + #ci_scan_0 = mc.nuc_grad_method().as_scanner(state=0) + + #en_exc_exact, grad_exc_exact = ci_scan_exc(mol) + #en_exact, grad_exact = ci_scan_0(mol) + en_exact, fcivec_pos = mc.fcisolver.kernel(h1, h2, mol.nao, mol.nelec) + + en_exact += mol.energy_nuc() + + # Get the reference numerical FCI NACs (update this part) + #nac_all = nac_continuation + + fci_en[i,:] = en_exact + #fci_nac += [nac_all] + +# Read NACs computed from openMOLCAS +fname = 'test_NACs.pkl' +with open(fname,'rb') as f: + test_NACs = pickle.load(f) + +# Separate different contributions +fci_nac = [] +for key in test_NACs.keys(): + all_NACs = test_NACs[key] + nac_i = {} + for keyj in all_NACs.keys(): + ci_NAC = all_NACs[keyj][0] + nac_i[keyj] = ci_NAC + fci_nac.append(nac_i) + +####################################################################### +# Plot NAC comparison +import matplotlib.pylab as plt + +fci_absh = {} +cont_absh = {} +for istate in range(nstate+1): + for jstate in range(nstate+1): + if istate != jstate: + + st_label = str(istate)+str(jstate) + fci_absh[st_label] = [np.abs(fci_nac[i][st_label]).sum() for i in range(len(test_range))] + cont_absh[st_label] = [np.abs(cont_nac[i][st_label]).sum() for i in range(len(test_range))] + +# Colors +clr_st = {'01':'b', '10':'b', + '02':'r','20':'r', + '03':'pink','30':'pink', + '13':'y','31':'y', + '23':'violet','32':'violet', + '12':'g','21':'g'} + +labelsize = 15 +# Plot +fig, axes = plt.subplots(nrows=2,ncols=2,sharex=True,sharey='row', + figsize=[10,10],gridspec_kw={'hspace':0.,'wspace':0}, + height_ratios=[1,1]) + +axes[0][0].plot(test_range,fci_en,'k',alpha=0.8) +axes[0][1].plot(test_range,cont_en,'k',alpha=0.8) + +for key, el in fci_absh.items(): + axes[1][0].plot(test_range,fci_absh[key],label=key,c=clr_st[key]) + axes[1][1].plot(test_range,cont_absh[key],label=key,c=clr_st[key]) + +axes[1][0].legend(loc='upper right') + +axes[0][0].set_title('FCI',fontsize=labelsize) +axes[0][1].set_title('EVcont',fontsize=labelsize) +axes[1][0].set_ylabel(r'$||\mathbf{d}_{ij}||$ (a$_0$$^{-1}$)',fontsize=labelsize) +axes[0][0].set_ylabel(r'Energy (Hartree)',fontsize=labelsize) + +axes[1][0].set_ylim(ymin=-0.2, ymax=min(10,axes[1][0].get_ylim()[1])) + +plt.show() + + + + diff --git a/scripts/NAC/H4/run_NAC_molcas.py b/scripts/NAC/H4/run_NAC_molcas.py new file mode 100644 index 0000000..ebc5f9c --- /dev/null +++ b/scripts/NAC/H4/run_NAC_molcas.py @@ -0,0 +1,119 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Tue Oct 31 16:26:12 2023 + +@author: katalar +""" + +import numpy as np + +import os + +import pickle + +from itertools import product + +# Bohr +test_range = np.linspace(0.8, 3.0,40) + +nroots = 3 + +inp_f_text = \ + '&gateway\nCoord\n \ +4\nHydrogen chain coordinates in Bohr\nH 0.000000 0.000000 0.000000\n\ +H xxx 0.000000 0.000000\nH yyy 0.000000 0.000000\n\ +H zzz 0.000000 0.000000\nBasis=sto-3g\nGroup=Nosymm\n\ +&SEWARD\n&RASSCF\nnactel = 4 0 0 \ninactive = 0 \nras2 = 4\nciroot =%i %i 1\n\ +&ALASKA\n NAC = 1 2\n\n'%(nroots, nroots) + +fname = 'H4.input' + +########################################################################### +def read_nac_molcas(outf): + ''' + + ''' + # Will contain 3 lists - CI NAC, CSF NAC, and their total sum + all_NAC = [] + + lines = 0 + read_ci_derivative = False + + tmp_list = [] + with open(outf) as f: + for line in f.readlines(): + if 'derivative coupling' in line: + read_ci_derivative = True + + if read_ci_derivative: + + if lines == 2 and len(line.split()) > 2: + # Read the values + tmp_list.append([float(i) for i in line.split()[1:]]) + + if '------' in line: + lines += 1 + + if lines == 3: + lines = 0 + read_ci_derivative = False + all_NAC.append(tmp_list) + tmp_list = [] + + #print(all_NAC) + return [np.array(i) for i in all_NAC] +########################################################################### +test_NACs = {} +for i, dist_i in enumerate(test_range): + print(i) + + # Save the current directory + cwd = os.getcwd() + + # Create a subdirectory for the geometry + d_drc = 'd-%.4f'%dist_i + os.mkdir(d_drc) + os.chdir(d_drc) + cwd_mid = os.getcwd() + + # New input file for openMOLCAS + new_inp = inp_f_text.replace('xxx','%.6f'%dist_i).replace('yyy','%.6f'%(2*dist_i)).replace('zzz','%.6f'%(3*dist_i)) + + nac_i = {} + for i,j in product(range(nroots),range(nroots)): + if i != j: + # Create directories for different NACs + nac_drc = 'nac-%i%i'%(i,j) + os.mkdir(nac_drc) + os.chdir(nac_drc) + + # Make input file + nac_inp = new_inp.replace('NAC = 1 2','NAC = %i %i'%(i+1,j+1)) + + with open(fname, 'w+') as f: + f.write(nac_inp) + + # Run calculation + os.system('$MOLCAS/pymolcas %s > out'%fname) + + #os.system('sleep 2') + + allNAC = read_nac_molcas('out') + nac_i['%i%i'%(i,j)] = allNAC + + os.chdir(cwd_mid) + + # Add to the dataset + test_NACs[dist_i] = nac_i + + # Return to original test directory + os.chdir(cwd) + +# Write all to file +with open('test_NACs.pkl','wb') as f: + pickle.dump(test_NACs,f) + + + + \ No newline at end of file diff --git a/scripts/NAC/H4/test_NACs.pkl b/scripts/NAC/H4/test_NACs.pkl new file mode 100644 index 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scripts/NAC/H4/compare-nac.png | Bin 0 -> 4878524 bytes scripts/NAC/H4/compare.py | 217 +++++++++++++++++++++----- scripts/NAC/H4/nroot4/test_en.npy | Bin 0 -> 1408 bytes scripts/NAC/H4/nroot5/test_NACs.pkl | Bin 0 -> 95381 bytes scripts/NAC/H4/nroot5/test_en.npy | Bin 0 -> 1728 bytes scripts/NAC/H4/run_NAC_molcas.py | 26 ++- scripts/NAC/H4/test_NACs.pkl | Bin 95381 -> 95381 bytes scripts/NAC/H4/test_en.npy | Bin 0 -> 2368 bytes 9 files changed, 334 insertions(+), 55 deletions(-) create mode 100644 scripts/NAC/H4/compare-nac.png create mode 100644 scripts/NAC/H4/nroot4/test_en.npy create mode 100644 scripts/NAC/H4/nroot5/test_NACs.pkl create mode 100644 scripts/NAC/H4/nroot5/test_en.npy create mode 100644 scripts/NAC/H4/test_en.npy diff --git a/evcont/ab_initio_gradients_loewdin.py b/evcont/ab_initio_gradients_loewdin.py index da83984..fb5fc22 100644 --- a/evcont/ab_initio_gradients_loewdin.py +++ b/evcont/ab_initio_gradients_loewdin.py @@ -390,6 +390,47 @@ def get_grad_elec_from_gradH(one_rdm, two_rdm, h1_jac, h2_jac): return grad_elec + +def get_orbital_derivative_coupling(mol,ao_mo_trafo=None, ao_mo_trafo_grad=None): + """ + For orbital contribution to nonadiabatic coupling vectors; + < Phi_a | d/dR Phi_b> where Phi are MOs, SAO in our case + + Includes two terms: + - With derivative of SAO transformation: \sum_{ik} + """ + if ao_mo_trafo is None: + ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) + + if ao_mo_trafo_grad is None: + ao_mo_trafo_grad = get_derivative_ao_mo_trafo(mol) + + # Contraction of the SAO transformation derivative + # \sum_{ik} dC_{ij}/dR * C_{kl} * s_{ik} + ovlp = mol.intor("int1e_ovlp") + trafo_deriv_contraction = np.einsum("ijAx,ik,kl->jlAx",ao_mo_trafo_grad, ovlp, ao_mo_trafo,optimize="optimal") + #trafo_deriv_contraction += np.swapaxes(trafo_deriv_contraction, 0, 1) + #trafo_deriv_contraction = 0 + + # Orbital derivative contraction + # \sum_{ik} C_{ij} * C_{kl} * < bas_i | d bas_j/dR > + atm_slices = tuple( + [ + (mol.aoslice_by_atom()[i][2], mol.aoslice_by_atom()[i][3]) + for i in range(mol.natm) + ] + ) + + deriv_ov = np.zeros((len(atm_slices),3,mol.nao,mol.nao)) + for i, slice in enumerate(atm_slices): + deriv_ov[i,:, slice[0] : slice[1], :] -= mol.intor("int1e_ipovlp")[:, slice[0] : slice[1], :] + + orb_deriv_contraction = np.einsum("ij,Axik,kl->jlAx",ao_mo_trafo, deriv_ov, ao_mo_trafo,optimize="optimal") + #orb_deriv_contraction += np.swapaxes(orb_deriv_contraction, 0, 1) + #orb_deriv_contraction = 0 + + return trafo_deriv_contraction + orb_deriv_contraction + def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): """ Calculates the potential energy and its gradient w.r.t. nuclear positions of a @@ -404,12 +445,14 @@ def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitia The two-electron t-RDM. S : numpy.ndarray The overlap matrix. + nroots (optional): int + Number of states in the solver. hermitian (bool, optional): Whether problem is solved with eigh or with eig. Defaults to True. Returns: tuple - A tuple containing the total potential energy and its gradient. + A tuple containing the total potential energies and its gradients. """ # Construct h1 and h2 ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) @@ -446,8 +489,9 @@ def get_multistate_energy_with_grad(mol, one_RDM, two_RDM, S, nroots=1, hermitia def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, hermitian=True): """ - Calculates the potential energy and its gradient w.r.t. nuclear positions of a - molecule from the eigenvector continuation. + Calculates the potential energiesm its gradient w.r.t. nuclear positions of a + molecule and nonadiabatic couplings from eigenvector continuation for both + ground and excited states. Args: mol : pyscf.gto.Mole @@ -458,45 +502,66 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, The two-electron t-RDM. S : numpy.ndarray The overlap matrix. - hermitian (bool, optional): + nroots (optional): int + Number of states in the solver. + hermitian (optional): bool Whether problem is solved with eigh or with eig. Defaults to True. Returns: - tuple - A tuple containing the total potential energy and its gradient. + tuple (en, grad_all, nac_all, nac_all_hfonly) + A tuple containing the total potential energies, its gradients and NACs: + + en: ndarray(nroot,) + Total potential energies for both ground and excited states + + grad_all: list of ndarray(nat,3) + Gradients of multistate energies + + nac_all: dictionary of np.darray(nat,3) + Nonadiabatic coupling vectors between all states, + e.g. nac_all['02'] is NAC along ground state and 2nd excited state + + nac_all_hfonly: dictionary of ndarray(nat,3) + Hellman-Feynmann contribution to NACs """ + # Construct h1 and h2 ao_mo_trafo = get_loewdin_trafo(mol.intor("int1e_ovlp")) h1 = np.linalg.multi_dot((ao_mo_trafo.T, scf.hf.get_hcore(mol), ao_mo_trafo)) h2 = ao2mo.restore(1, ao2mo.kernel(mol, ao_mo_trafo), mol.nao) + # Diagonalization of the subspace Hamiltonian for the continuation of + # energies and eigenstates en, vec = approximate_multistate(h1, h2, one_RDM, two_RDM, S, nroots=nroots, hermitian=hermitian) # Get the gradient of one and two-electron integrals before contracting onto # rdms and trmds of different states h1_jac, h2_jac = get_one_and_two_el_grad(mol,ao_mo_trafo=ao_mo_trafo) - grad_elec_all = [] - for i_state in range(nroots): - vec_i = vec[i_state,:] - - + # Get the orbital derivative coupling for NACs + orb_deriv = get_orbital_derivative_coupling(mol,ao_mo_trafo=ao_mo_trafo) + + # Nuclear part of the gradient grad_nuc = grad.RHF(scf.RHF(mol)).grad_nuc() grad_elec_all = [] nac_all = {} + nac_all_hfonly = {} + # Iterate over pairs of eigenstates for i_state in range(nroots): vec_i = vec[i_state,:] for j_state in range(nroots): vec_j = vec[j_state,:] + # Contracting to subspace eigenstate in hand one_rdm_predicted = np.einsum("i,ijkl,j->kl", vec_i, one_RDM, vec_j, optimize="optimal") two_rdm_predicted = np.einsum( "i,ijklmn,j->klmn", vec_i, two_RDM, vec_j, optimize="optimal" ) - + + # d\dR of subspace Hamiltonian grad_elec = get_grad_elec_from_gradH( one_rdm_predicted, two_rdm_predicted, h1_jac, h2_jac ) @@ -507,16 +572,25 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, # Nonadiabatic couplings else: - nac_ij = grad_elec/(en[j_state]-en[i_state]) + #np.einsum("ij,ijkl->kl", one_rdm, h1_jac, optimize="optimal") + #np.fill_diagonal(one_rdm_predicted, 0.) + nac_orb = np.einsum("ij,ijkl->kl",one_rdm_predicted, orb_deriv, optimize="optimal") + #nac_orb = np.einsum("ij,ijkl->kl",one_rdm_predicted, + # orb_deriv-np.swapaxes(orb_deriv, 0, 1), optimize="optimal") + #print(np.linalg.norm(nac_orb)) + nac_hf = grad_elec/(en[j_state]-en[i_state]) + nac_ij = nac_hf + nac_orb nac_all[str(i_state)+str(j_state)] = nac_ij + nac_all_hfonly[str(i_state)+str(j_state)] = nac_hf - + # Add the nuclear contribution to gradient grad_all = np.array(grad_elec_all) + grad_nuc return ( en.real + mol.energy_nuc(), grad_all, - nac_all + nac_all, + nac_all_hfonly ) if __name__ == '__main__': @@ -532,11 +606,11 @@ def get_multistate_energy_with_grad_and_NAC(mol, one_RDM, two_RDM, S, nroots=1, from pyscf.fci.addons import overlap - from time import time #CASE = 'NAC' CASE = 'Exc-Grad' + CASE = 'Grad' nstate = 2 #1st excited state nroots_evcont = 3 @@ -681,6 +755,46 @@ def nac_fd_FCI(mf,mol=None,nroots=None,dx=1e-7,cibasis='OAO'): print('Finished training') + if CASE == 'Grad': + + st = time() + # Test the ground and excite state forces and gradients at training points + for i, dist in enumerate(trainig_dists): + positions = [(x, 0.0, 0.0) for x in dist * np.arange(natom)] + mol = get_mol(positions) + + # Predictions from mutistate continuation + en_continuation_ms, grad_continuation_ms = get_energy_with_grad( + mol, + continuation_object.one_rdm, + continuation_object.two_rdm, + continuation_object.overlap + ) + + # Predictions from Hartree-Fock + hf_energy, hf_grad = mol.RHF().nuc_grad_method().as_scanner()(mol) + + # Fci reference values + #en_exact, grad_exact = CASCI(mol.RHF(), natom, natom).nuc_grad_method().as_scanner()(mol) + + # Fci excited state reference values + mc = CASCI(mol.RHF(), natom,natom) + #mc = CASCI(mol.RHF(), 10,6) Li2 + mc.fcisolver = fci.direct_spin0.FCI() + + ci_scan_0 = mc.nuc_grad_method().as_scanner() + + en_exact, grad_exact = ci_scan_0(mol) + + # Checks + print(i) + + assert np.allclose(en_exact,en_continuation_ms) + assert np.allclose(grad_exact,grad_continuation_ms) + + print(f'Time taken: {time()-st:.1f} sec') + + if CASE == 'Exc-Grad': st = time() diff --git a/scripts/NAC/H4/compare-nac.png b/scripts/NAC/H4/compare-nac.png new file mode 100644 index 0000000000000000000000000000000000000000..8053e2ff2ef3b4b588c3ef91a2ed04ddf2ede663 GIT binary patch literal 4878524 zcmeFaXIPcjx;0FaowyTQj0Gt|EQlzGic|%R3Wx}T^sXXZKzaugW1}i6h*aqv>78Yi zA|fCiL0C!==_0+qV=mE%$NbnozCYg;u4^A5u-1B>Iqx#=F~)q(by*pSl|M25L`O%r zQu5f*Q*?BDy6EVHL;m{%{!4e#O;P+KXeFj%C2yu@WqZa#mrnYO)rIqBR_6`R{%WIZ zVQFY)%ClQw_a4q)4Xms#SPF4-n|%6%-DVd0+`K6n@pzLTFC0^~q@(kHO8)mv$IXZ> 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