Source code for pyscf.agf2.dfuagf2

# Copyright 2014-2020 The PySCF Developers. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
#
# Author: Oliver J. Backhouse <olbackhouse@gmail.com>
#         George H. Booth <george.booth@kcl.ac.uk>
#

'''
Auxiliary second-order Green's function perturbation theory for
unrestricted references with density fitting
'''

import numpy as np
import ctypes
from pyscf import lib
from pyscf.lib import logger
from pyscf import __config__
from pyscf import ao2mo, df
from pyscf.agf2 import uagf2, dfragf2, mpi_helper, _agf2
from pyscf.agf2 import aux_space as aux

BLKMIN = getattr(__config__, 'agf2_blkmin', 100)


[docs] def build_se_part(agf2, eri, gf_occ, gf_vir, os_factor=1.0, ss_factor=1.0): ''' Builds either the auxiliaries of the occupied self-energy, or virtual if :attr:`gf_occ` and :attr:`gf_vir` are swapped. Args: eri : _ChemistsERIs Electronic repulsion integrals gf_occ : GreensFunction Occupied Green's function gf_vir : GreensFunction Virtual Green's function Kwargs: os_factor : float Opposite-spin factor for spin-component-scaled (SCS) calculations. Default 1.0 ss_factor : float Same-spin factor for spin-component-scaled (SCS) calculations. Default 1.0 Returns: :class:`SelfEnergy` ''' cput0 = (logger.process_clock(), logger.perf_counter()) log = logger.Logger(agf2.stdout, agf2.verbose) assert type(gf_occ[0]) is aux.GreensFunction assert type(gf_occ[1]) is aux.GreensFunction assert type(gf_vir[0]) is aux.GreensFunction assert type(gf_vir[1]) is aux.GreensFunction nmoa, nmob = eri.nmo nocca, nvira = gf_occ[0].naux, gf_vir[0].naux noccb, nvirb = gf_occ[1].naux, gf_vir[1].naux naux = agf2.with_df.get_naoaux() tol = agf2.weight_tol facs = dict(os_factor=os_factor, ss_factor=ss_factor) ci_a, ei_a = gf_occ[0].coupling, gf_occ[0].energy ci_b, ei_b = gf_occ[1].coupling, gf_occ[1].energy ca_a, ea_a = gf_vir[0].coupling, gf_vir[0].energy ca_b, ea_b = gf_vir[1].coupling, gf_vir[1].energy qeri = _make_qmo_eris_incore(agf2, eri, (ci_a, ci_a, ca_a), (ci_b, ci_b, ca_b)) (qxi_a, qja_a), (qxi_b, qja_b) = qeri qxi = (qxi_a, qxi_b) qja = (qja_a, qja_b) himem_required = naux*(nvira+nmoa) + (nocca*nvira+noccb*nvirb)*(1+2*nmoa) + (2*nmoa**2) himem_required *= 8e-6 himem_required *= lib.num_threads() if ((himem_required*1.05 + lib.current_memory()[0]) > agf2.max_memory and agf2.allow_lowmem_build) or agf2.allow_lowmem_build == 'force': log.debug('Thread-private memory overhead %.3f exceeds max_memory, using ' 'low-memory version.', himem_required) build_mats_dfuagf2 = _agf2.build_mats_dfuagf2_lowmem else: build_mats_dfuagf2 = _agf2.build_mats_dfuagf2_incore vv, vev = build_mats_dfuagf2(qxi, qja, (ei_a, ei_b), (ea_a, ea_b), **facs) e, c = _agf2.cholesky_build(vv, vev) se_a = aux.SelfEnergy(e, c, chempot=gf_occ[0].chempot) se_a.remove_uncoupled(tol=tol) if not (agf2.frozen is None or agf2.frozen == 0): mask = uagf2.get_frozen_mask(agf2) coupling = np.zeros((nmoa, se_a.naux)) coupling[mask[0]] = se_a.coupling se_a = aux.SelfEnergy(se_a.energy, coupling, chempot=se_a.chempot) cput0 = log.timer('se part (alpha)', *cput0) himem_required = naux*(nvirb+nmob) + (noccb*nvirb+nocca*nvira)*(1+2*nmob) + (2*nmob**2) himem_required *= 8e-6 himem_required *= lib.num_threads() if ((himem_required*1.05 + lib.current_memory()[0]) > agf2.max_memory and agf2.allow_lowmem_build) or agf2.allow_lowmem_build == 'force': log.debug('Thread-private memory overhead %.3f exceeds max_memory, using ' 'low-memory version.', himem_required) build_mats_dfuagf2 = _agf2.build_mats_dfuagf2_lowmem else: build_mats_dfuagf2 = _agf2.build_mats_dfuagf2_incore rv = np.s_[::-1] vv, vev = build_mats_dfuagf2(qxi[rv], qja[rv], (ei_b, ei_a), (ea_b, ea_a), **facs) e, c = _agf2.cholesky_build(vv, vev) se_b = aux.SelfEnergy(e, c, chempot=gf_occ[1].chempot) se_b.remove_uncoupled(tol=tol) if not (agf2.frozen is None or agf2.frozen == 0): mask = uagf2.get_frozen_mask(agf2) coupling = np.zeros((nmoa, se_b.naux)) coupling[mask[1]] = se_b.coupling se_b = aux.SelfEnergy(se_b.energy, coupling, chempot=se_b.chempot) cput0 = log.timer('se part (beta)', *cput0) return (se_a, se_b)
[docs] class DFUAGF2(uagf2.UAGF2): ''' Unrestricted AGF2 with canonical HF reference with density fitting Attributes: verbose : int Print level. Default value equals to :class:`Mole.verbose` max_memory : float or int Allowed memory in MB. Default value equals to :class:`Mole.max_memory` incore_complete : bool Avoid all I/O. Default is False. allow_lowmem_build : bool Allow the self-energy build to switch to a serially slower code with lower thread-private memory overhead if needed. One of True, False or 'force'. Default value is True. conv_tol : float Convergence threshold for AGF2 energy. Default value is 1e-7 conv_tol_rdm1 : float Convergence threshold for first-order reduced density matrix. Default value is 1e-8. conv_tol_nelec : float Convergence threshold for the number of electrons. Default value is 1e-6. max_cycle : int Maximum number of AGF2 iterations. Default value is 50. max_cycle_outer : int Maximum number of outer Fock loop iterations. Default value is 20. max_cycle_inner : int Maximum number of inner Fock loop iterations. Default value is 50. weight_tol : float Threshold in spectral weight of auxiliaries to be considered zero. Default 1e-11. diis : bool or lib.diis.DIIS Whether to use DIIS, can also be a lib.diis.DIIS object. Default value is True. diis_space : int DIIS space size. Default value is 8. diis_min_space : int Minimum space of DIIS. Default value is 1. fock_diis_space : int DIIS space size for Fock loop iterations. Default value is 6. fock_diis_min_space : Minimum space of DIIS. Default value is 1. os_factor : float Opposite-spin factor for spin-component-scaled (SCS) calculations. Default 1.0 ss_factor : float Same-spin factor for spin-component-scaled (SCS) calculations. Default 1.0 damping : float Damping factor for the self-energy. Default value is 0.0 Saved results e_corr : float AGF2 correlation energy e_tot : float Total energy (HF + correlation) e_1b : float One-body part of :attr:`e_tot` e_2b : float Two-body part of :attr:`e_tot` e_init : float Initial correlation energy (truncated MP2) converged : bool Whether convergence was successful se : tuple of SelfEnergy Auxiliaries of the self-energy for each spin gf : tuple of GreensFunction Auxiliaries of the Green's function for each spin ''' _keys = set(['_with_df', 'allow_lowmem_build']) def __init__(self, mf, frozen=None, mo_energy=None, mo_coeff=None, mo_occ=None): uagf2.UAGF2.__init__(self, mf, frozen=frozen, mo_energy=mo_energy, mo_coeff=mo_coeff, mo_occ=mo_occ) if getattr(mf, 'with_df', None) is not None: self.with_df = mf.with_df else: self.with_df = df.DF(mf.mol) self.with_df.auxbasis = df.make_auxbasis(mf.mol, mp2fit=True) self.allow_lowmem_build = True build_se_part = build_se_part get_jk = dfragf2.get_jk
[docs] def ao2mo(self, mo_coeff=None): ''' Get the density-fitted electronic repulsion integrals in MO basis. ''' eri = _make_mo_eris_incore(self, mo_coeff) return eri
[docs] def reset(self, mol=None): self.with_df.reset(mol) return uagf2.UAGF2.reset(self, mol)
@property def with_df(self): return self._with_df @with_df.setter def with_df(self, val): self._with_df = val self._with_df.__class__ = dfragf2.DF
class _ChemistsERIs(uagf2._ChemistsERIs): ''' (pq|rs) as (pq|J)(J|rs) MO tensors are stored in tril from, we only need QMO tensors in low-symmetry ''' pass def _make_mo_eris_incore(agf2, mo_coeff=None): ''' Returns _ChemistsERIs ''' cput0 = (logger.process_clock(), logger.perf_counter()) log = logger.Logger(agf2.stdout, agf2.verbose) eris = _ChemistsERIs() eris._common_init_(agf2, mo_coeff) with_df = agf2.with_df moa, mob = eris.mo_coeff nmoa, nmob = moa.shape[1], mob.shape[1] npaira, npairb = nmoa*(nmoa+1)//2, nmob*(nmob+1)//2 naux = with_df.get_naoaux() qxy_a = np.zeros((naux, npaira)) qxy_b = np.zeros((naux, npairb)) moa = np.asarray(moa, order='F') mob = np.asarray(mob, order='F') sija = (0, nmoa, 0, nmoa) sijb = (0, nmob, 0, nmob) sym = dict(aosym='s2', mosym='s2') for p0, p1 in with_df.prange(): eri0 = with_df._cderi[p0:p1] qxy_a[p0:p1] = ao2mo._ao2mo.nr_e2(eri0, moa, sija, out=qxy_a[p0:p1], **sym) qxy_b[p0:p1] = ao2mo._ao2mo.nr_e2(eri0, mob, sijb, out=qxy_b[p0:p1], **sym) mpi_helper.barrier() mpi_helper.allreduce_safe_inplace(qxy_a) mpi_helper.allreduce_safe_inplace(qxy_b) eris.eri_a = qxy_a eris.eri_b = qxy_b eris.eri_aa = (eris.eri_a, eris.eri_a) eris.eri_ab = (eris.eri_a, eris.eri_b) eris.eri_ba = (eris.eri_b, eris.eri_a) eris.eri_bb = (eris.eri_b, eris.eri_b) eris.eri = (eris.eri_a, eris.eri_b) log.timer('MO integral transformation', *cput0) return eris def _make_qmo_eris_incore(agf2, eri, coeffs_a, coeffs_b): ''' Returns nested tuple of ndarray ''' cput0 = (logger.process_clock(), logger.perf_counter()) log = logger.Logger(agf2.stdout, agf2.verbose) cxa, cxb = np.eye(agf2.nmo[0]), np.eye(agf2.nmo[1]) if not (agf2.frozen is None or agf2.frozen == 0): mask = uagf2.get_frozen_mask(agf2) cxa = cxa[:,mask[0]] cxb = cxb[:,mask[1]] nmoa, nmob = agf2.nmo npaira, npairb = nmoa*(nmoa+1)//2, nmob*(nmob+1)//2 with_df = agf2.with_df naux = with_df.get_naoaux() cia, cja, caa = coeffs_a cib, cjb, cab = coeffs_b xisym_a, nxi_a, cxi_a, sxi_a = ao2mo.incore._conc_mos(cxa, cia, compact=False) jasym_a, nja_a, cja_a, sja_a = ao2mo.incore._conc_mos(cja, caa, compact=False) xisym_b, nxi_b, cxi_b, sxi_b = ao2mo.incore._conc_mos(cxb, cib, compact=False) jasym_b, nja_b, cja_b, sja_b = ao2mo.incore._conc_mos(cjb, cab, compact=False) sym = dict(aosym='s2', mosym='s1') qxi_a = np.zeros((naux, nxi_a)) qxi_b = np.zeros((naux, nxi_b)) qja_a = np.zeros((naux, nja_a)) qja_b = np.zeros((naux, nja_b)) buf = (np.zeros((with_df.blockdim, npaira)), np.zeros((with_df.blockdim, npairb))) for p0, p1 in mpi_helper.prange(0, naux, with_df.blockdim): naux0 = p1 - p0 bufa0 = buf[0][:naux0] bufb0 = buf[1][:naux0] bufa0[:] = eri.eri[0][p0:p1] bufb0[:] = eri.eri[1][p0:p1] qxi_a[p0:p1] = ao2mo._ao2mo.nr_e2(bufa0, cxi_a, sxi_a, out=qxi_a[p0:p1], **sym) qxi_b[p0:p1] = ao2mo._ao2mo.nr_e2(bufb0, cxi_b, sxi_b, out=qxi_b[p0:p1], **sym) qja_a[p0:p1] = ao2mo._ao2mo.nr_e2(bufa0, cja_a, sja_a, out=qja_a[p0:p1], **sym) qja_b[p0:p1] = ao2mo._ao2mo.nr_e2(bufb0, cja_b, sja_b, out=qja_b[p0:p1], **sym) mpi_helper.barrier() mpi_helper.allreduce_safe_inplace(qxi_a) mpi_helper.allreduce_safe_inplace(qxi_b) mpi_helper.allreduce_safe_inplace(qja_a) mpi_helper.allreduce_safe_inplace(qja_b) qxi_a = qxi_a.reshape(naux, -1) qxi_b = qxi_b.reshape(naux, -1) qja_a = qja_a.reshape(naux, -1) qja_b = qja_b.reshape(naux, -1) log.timer('QMO integral transformation', *cput0) return ((qxi_a, qja_a), (qxi_b, qja_b)) if __name__ == '__main__': from pyscf import gto, scf, mp import pyscf.scf.stability mol = gto.M(atom='O 0 0 0; H 0 0 1; H 0 1 0', basis='cc-pvdz', charge=-1, spin=1, verbose=3) uhf = scf.UHF(mol).density_fit() uhf.conv_tol = 1e-11 uhf.run() for niter in range(1, 11): stability = scf.stability.uhf_stability(uhf) if isinstance(stability, tuple): sint, sext = stability else: sint = stability if np.allclose(sint, uhf.mo_coeff): break else: rdm1 = uhf.make_rdm1(sint, uhf.mo_occ) uhf.scf(dm0=rdm1) uagf2 = DFUAGF2(uhf) uagf2.run() uagf2.ipagf2(nroots=5) uagf2.eaagf2(nroots=5)