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bse_util.F
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!--------------------------------------------------------------------------------------------------!
! CP2K: A general program to perform molecular dynamics simulations !
! Copyright 2000-2025 CP2K developers group <https://cp2k.org> !
! !
! SPDX-License-Identifier: GPL-2.0-or-later !
!--------------------------------------------------------------------------------------------------!
! **************************************************************************************************
!> \brief Auxiliary routines for GW + Bethe-Salpeter for computing electronic excitations
!> \par History
!> 11.2023 created [Maximilian Graml]
! **************************************************************************************************
MODULE bse_util
USE atomic_kind_types, ONLY: atomic_kind_type
USE cell_types, ONLY: cell_type
USE cp_blacs_env, ONLY: cp_blacs_env_type
USE cp_control_types, ONLY: dft_control_type
USE cp_dbcsr_api, ONLY: dbcsr_create,&
dbcsr_init_p,&
dbcsr_p_type,&
dbcsr_set,&
dbcsr_type_symmetric
USE cp_dbcsr_cp2k_link, ONLY: cp_dbcsr_alloc_block_from_nbl
USE cp_dbcsr_operations, ONLY: cp_dbcsr_sm_fm_multiply,&
dbcsr_allocate_matrix_set,&
dbcsr_deallocate_matrix_set
USE cp_fm_basic_linalg, ONLY: cp_fm_trace,&
cp_fm_uplo_to_full
USE cp_fm_cholesky, ONLY: cp_fm_cholesky_decompose,&
cp_fm_cholesky_invert
USE cp_fm_struct, ONLY: cp_fm_struct_create,&
cp_fm_struct_release,&
cp_fm_struct_type
USE cp_fm_types, ONLY: cp_fm_create,&
cp_fm_get_info,&
cp_fm_release,&
cp_fm_set_all,&
cp_fm_to_fm_submat,&
cp_fm_to_fm_submat_general,&
cp_fm_type
USE cp_log_handling, ONLY: cp_get_default_logger,&
cp_logger_type
USE cp_output_handling, ONLY: cp_print_key_finished_output,&
cp_print_key_unit_nr
USE cp_realspace_grid_cube, ONLY: cp_pw_to_cube
USE input_constants, ONLY: bse_screening_alpha,&
bse_screening_rpa,&
bse_screening_tdhf,&
use_mom_ref_coac
USE input_section_types, ONLY: section_vals_type
USE kinds, ONLY: default_path_length,&
dp,&
int_8
USE message_passing, ONLY: mp_para_env_type,&
mp_request_type
USE moments_utils, ONLY: get_reference_point
USE mp2_types, ONLY: integ_mat_buffer_type,&
mp2_type
USE parallel_gemm_api, ONLY: parallel_gemm
USE particle_list_types, ONLY: particle_list_type
USE particle_types, ONLY: particle_type
USE physcon, ONLY: evolt
USE pw_env_types, ONLY: pw_env_get,&
pw_env_type
USE pw_poisson_types, ONLY: pw_poisson_type
USE pw_pool_types, ONLY: pw_pool_p_type,&
pw_pool_type
USE pw_types, ONLY: pw_c1d_gs_type,&
pw_r3d_rs_type
USE qs_collocate_density, ONLY: calculate_wavefunction
USE qs_environment_types, ONLY: get_qs_env,&
qs_environment_type
USE qs_kind_types, ONLY: qs_kind_type
USE qs_mo_types, ONLY: get_mo_set,&
mo_set_type
USE qs_moments, ONLY: build_local_moment_matrix
USE qs_neighbor_list_types, ONLY: neighbor_list_set_p_type
USE qs_subsys_types, ONLY: qs_subsys_get,&
qs_subsys_type
USE rpa_communication, ONLY: communicate_buffer
USE util, ONLY: sort,&
sort_unique
#include "./base/base_uses.f90"
IMPLICIT NONE
PRIVATE
CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'bse_util'
PUBLIC :: mult_B_with_W, fm_general_add_bse, truncate_fm, &
deallocate_matrices_bse, comp_eigvec_coeff_BSE, sort_excitations, &
estimate_BSE_resources, filter_eigvec_contrib, truncate_BSE_matrices, &
determine_cutoff_indices, adapt_BSE_input_params, get_multipoles_mo, &
reshuffle_eigvec, print_bse_nto_cubes, trace_exciton_descr
CONTAINS
! **************************************************************************************************
!> \brief Multiplies B-matrix (RI-3c-Integrals) with W (screening) to obtain \bar{B}
!> \param fm_mat_S_ij_bse ...
!> \param fm_mat_S_ia_bse ...
!> \param fm_mat_S_bar_ia_bse ...
!> \param fm_mat_S_bar_ij_bse ...
!> \param fm_mat_Q_static_bse_gemm ...
!> \param dimen_RI ...
!> \param homo ...
!> \param virtual ...
! **************************************************************************************************
SUBROUTINE mult_B_with_W(fm_mat_S_ij_bse, fm_mat_S_ia_bse, fm_mat_S_bar_ia_bse, &
fm_mat_S_bar_ij_bse, fm_mat_Q_static_bse_gemm, &
dimen_RI, homo, virtual)
TYPE(cp_fm_type), INTENT(IN) :: fm_mat_S_ij_bse, fm_mat_S_ia_bse
TYPE(cp_fm_type), INTENT(OUT) :: fm_mat_S_bar_ia_bse, fm_mat_S_bar_ij_bse
TYPE(cp_fm_type), INTENT(IN) :: fm_mat_Q_static_bse_gemm
INTEGER, INTENT(IN) :: dimen_RI, homo, virtual
CHARACTER(LEN=*), PARAMETER :: routineN = 'mult_B_with_W'
INTEGER :: handle, i_global, iiB, info_chol, &
j_global, jjB, ncol_local, nrow_local
INTEGER, DIMENSION(:), POINTER :: col_indices, row_indices
TYPE(cp_fm_type) :: fm_work
CALL timeset(routineN, handle)
CALL cp_fm_create(fm_mat_S_bar_ia_bse, fm_mat_S_ia_bse%matrix_struct)
CALL cp_fm_set_all(fm_mat_S_bar_ia_bse, 0.0_dp)
CALL cp_fm_create(fm_mat_S_bar_ij_bse, fm_mat_S_ij_bse%matrix_struct)
CALL cp_fm_set_all(fm_mat_S_bar_ij_bse, 0.0_dp)
CALL cp_fm_create(fm_work, fm_mat_Q_static_bse_gemm%matrix_struct)
CALL cp_fm_set_all(fm_work, 0.0_dp)
! get info of fm_mat_Q_static_bse and compute ((1+Q(0))^-1-1)
CALL cp_fm_get_info(matrix=fm_mat_Q_static_bse_gemm, &
nrow_local=nrow_local, &
ncol_local=ncol_local, &
row_indices=row_indices, &
col_indices=col_indices)
DO jjB = 1, ncol_local
j_global = col_indices(jjB)
DO iiB = 1, nrow_local
i_global = row_indices(iiB)
IF (j_global == i_global .AND. i_global <= dimen_RI) THEN
fm_mat_Q_static_bse_gemm%local_data(iiB, jjB) = fm_mat_Q_static_bse_gemm%local_data(iiB, jjB) + 1.0_dp
END IF
END DO
END DO
! calculate Trace(Log(Matrix)) as Log(DET(Matrix)) via cholesky decomposition
CALL cp_fm_cholesky_decompose(matrix=fm_mat_Q_static_bse_gemm, n=dimen_RI, info_out=info_chol)
IF (info_chol /= 0) THEN
CALL cp_abort(__LOCATION__, 'Cholesky decomposition failed for static polarization in BSE')
END IF
! calculate [1+Q(i0)]^-1
CALL cp_fm_cholesky_invert(fm_mat_Q_static_bse_gemm)
! symmetrize the result
CALL cp_fm_uplo_to_full(fm_mat_Q_static_bse_gemm, fm_work)
CALL parallel_gemm(transa="N", transb="N", m=dimen_RI, n=homo**2, k=dimen_RI, alpha=1.0_dp, &
matrix_a=fm_mat_Q_static_bse_gemm, matrix_b=fm_mat_S_ij_bse, beta=0.0_dp, &
matrix_c=fm_mat_S_bar_ij_bse)
! fm_mat_S_bar_ia_bse has a different blacs_env as fm_mat_S_ij_bse since we take
! fm_mat_S_ia_bse from RPA. Therefore, we also need a different fm_mat_Q_static_bse_gemm
CALL parallel_gemm(transa="N", transb="N", m=dimen_RI, n=homo*virtual, k=dimen_RI, alpha=1.0_dp, &
matrix_a=fm_mat_Q_static_bse_gemm, matrix_b=fm_mat_S_ia_bse, beta=0.0_dp, &
matrix_c=fm_mat_S_bar_ia_bse)
CALL cp_fm_release(fm_work)
CALL timestop(handle)
END SUBROUTINE
! **************************************************************************************************
!> \brief Adds and reorders full matrices with a combined index structure, e.g. adding W_ij,ab
!> to A_ia, jb which needs MPI communication.
!> \param fm_out ...
!> \param fm_in ...
!> \param beta ...
!> \param nrow_secidx_in ...
!> \param ncol_secidx_in ...
!> \param nrow_secidx_out ...
!> \param ncol_secidx_out ...
!> \param unit_nr ...
!> \param reordering ...
!> \param mp2_env ...
! **************************************************************************************************
SUBROUTINE fm_general_add_bse(fm_out, fm_in, beta, nrow_secidx_in, ncol_secidx_in, &
nrow_secidx_out, ncol_secidx_out, unit_nr, reordering, mp2_env)
TYPE(cp_fm_type), INTENT(INOUT) :: fm_out
TYPE(cp_fm_type), INTENT(IN) :: fm_in
REAL(kind=dp) :: beta
INTEGER, INTENT(IN) :: nrow_secidx_in, ncol_secidx_in, &
nrow_secidx_out, ncol_secidx_out
INTEGER :: unit_nr
INTEGER, DIMENSION(4) :: reordering
TYPE(mp2_type), INTENT(IN) :: mp2_env
CHARACTER(LEN=*), PARAMETER :: routineN = 'fm_general_add_bse'
INTEGER :: col_idx_loc, dummy, handle, handle2, i_entry_rec, idx_col_out, idx_row_out, ii, &
iproc, jj, ncol_block_in, ncol_block_out, ncol_local_in, ncol_local_out, nprocs, &
nrow_block_in, nrow_block_out, nrow_local_in, nrow_local_out, proc_send, row_idx_loc, &
send_pcol, send_prow
INTEGER, ALLOCATABLE, DIMENSION(:) :: entry_counter, num_entries_rec, &
num_entries_send
INTEGER, DIMENSION(4) :: indices_in
INTEGER, DIMENSION(:), POINTER :: col_indices_in, col_indices_out, &
row_indices_in, row_indices_out
TYPE(integ_mat_buffer_type), ALLOCATABLE, &
DIMENSION(:) :: buffer_rec, buffer_send
TYPE(mp_para_env_type), POINTER :: para_env_out
TYPE(mp_request_type), DIMENSION(:, :), POINTER :: req_array
CALL timeset(routineN, handle)
CALL timeset(routineN//"_1_setup", handle2)
para_env_out => fm_out%matrix_struct%para_env
! A_iajb
! We start by moving data from local parts of W_ijab to the full matrix A_iajb using buffers
CALL cp_fm_get_info(matrix=fm_out, &
nrow_local=nrow_local_out, &
ncol_local=ncol_local_out, &
row_indices=row_indices_out, &
col_indices=col_indices_out, &
nrow_block=nrow_block_out, &
ncol_block=ncol_block_out)
ALLOCATE (num_entries_rec(0:para_env_out%num_pe - 1))
ALLOCATE (num_entries_send(0:para_env_out%num_pe - 1))
num_entries_rec(:) = 0
num_entries_send(:) = 0
dummy = 0
CALL cp_fm_get_info(matrix=fm_in, &
nrow_local=nrow_local_in, &
ncol_local=ncol_local_in, &
row_indices=row_indices_in, &
col_indices=col_indices_in, &
nrow_block=nrow_block_in, &
ncol_block=ncol_block_in)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A14,A10,T71,I10)') 'BSE|DEBUG|', 'Row number of ', fm_out%name, &
fm_out%matrix_struct%nrow_global
WRITE (unit_nr, '(T2,A10,T13,A17,A10,T71,I10)') 'BSE|DEBUG|', 'Column number of ', fm_out%name, &
fm_out%matrix_struct%ncol_global
WRITE (unit_nr, '(T2,A10,T13,A18,A10,T71,I10)') 'BSE|DEBUG|', 'Row block size of ', fm_out%name, nrow_block_out
WRITE (unit_nr, '(T2,A10,T13,A21,A10,T71,I10)') 'BSE|DEBUG|', 'Column block size of ', fm_out%name, ncol_block_out
WRITE (unit_nr, '(T2,A10,T13,A14,A10,T71,I10)') 'BSE|DEBUG|', 'Row number of ', fm_in%name, &
fm_in%matrix_struct%nrow_global
WRITE (unit_nr, '(T2,A10,T13,A17,A10,T71,I10)') 'BSE|DEBUG|', 'Column number of ', fm_in%name, &
fm_in%matrix_struct%ncol_global
WRITE (unit_nr, '(T2,A10,T13,A18,A10,T71,I10)') 'BSE|DEBUG|', 'Row block size of ', fm_in%name, nrow_block_in
WRITE (unit_nr, '(T2,A10,T13,A21,A10,T71,I10)') 'BSE|DEBUG|', 'Column block size of ', fm_in%name, ncol_block_in
END IF
! Use scalapack wrapper to find process index in fm_out
! To that end, we obtain the global index in fm_out from the level indices
indices_in(:) = 0
DO row_idx_loc = 1, nrow_local_in
indices_in(1) = (row_indices_in(row_idx_loc) - 1)/nrow_secidx_in + 1
indices_in(2) = MOD(row_indices_in(row_idx_loc) - 1, nrow_secidx_in) + 1
DO col_idx_loc = 1, ncol_local_in
indices_in(3) = (col_indices_in(col_idx_loc) - 1)/ncol_secidx_in + 1
indices_in(4) = MOD(col_indices_in(col_idx_loc) - 1, ncol_secidx_in) + 1
idx_row_out = indices_in(reordering(2)) + (indices_in(reordering(1)) - 1)*nrow_secidx_out
idx_col_out = indices_in(reordering(4)) + (indices_in(reordering(3)) - 1)*ncol_secidx_out
send_prow = fm_out%matrix_struct%g2p_row(idx_row_out)
send_pcol = fm_out%matrix_struct%g2p_col(idx_col_out)
proc_send = fm_out%matrix_struct%context%blacs2mpi(send_prow, send_pcol)
num_entries_send(proc_send) = num_entries_send(proc_send) + 1
END DO
END DO
CALL timestop(handle2)
CALL timeset(routineN//"_2_comm_entry_nums", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A27)') 'BSE|DEBUG|', 'Communicating entry numbers'
END IF
CALL para_env_out%alltoall(num_entries_send, num_entries_rec, 1)
CALL timestop(handle2)
CALL timeset(routineN//"_3_alloc_buffer", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A18)') 'BSE|DEBUG|', 'Allocating buffers'
END IF
! Buffers for entries and their indices
ALLOCATE (buffer_rec(0:para_env_out%num_pe - 1))
ALLOCATE (buffer_send(0:para_env_out%num_pe - 1))
! allocate data message and corresponding indices
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_rec(iproc)%msg(num_entries_rec(iproc)))
buffer_rec(iproc)%msg = 0.0_dp
END DO
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_send(iproc)%msg(num_entries_send(iproc)))
buffer_send(iproc)%msg = 0.0_dp
END DO
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_rec(iproc)%indx(num_entries_rec(iproc), 2))
buffer_rec(iproc)%indx = 0
END DO
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_send(iproc)%indx(num_entries_send(iproc), 2))
buffer_send(iproc)%indx = 0
END DO
CALL timestop(handle2)
CALL timeset(routineN//"_4_buf_from_fmin_"//fm_out%name, handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A18,A10,A13)') 'BSE|DEBUG|', 'Writing data from ', fm_in%name, ' into buffers'
END IF
ALLOCATE (entry_counter(0:para_env_out%num_pe - 1))
entry_counter(:) = 0
! Now we can write the actual data and indices to the send-buffer
DO row_idx_loc = 1, nrow_local_in
indices_in(1) = (row_indices_in(row_idx_loc) - 1)/nrow_secidx_in + 1
indices_in(2) = MOD(row_indices_in(row_idx_loc) - 1, nrow_secidx_in) + 1
DO col_idx_loc = 1, ncol_local_in
indices_in(3) = (col_indices_in(col_idx_loc) - 1)/ncol_secidx_in + 1
indices_in(4) = MOD(col_indices_in(col_idx_loc) - 1, ncol_secidx_in) + 1
idx_row_out = indices_in(reordering(2)) + (indices_in(reordering(1)) - 1)*nrow_secidx_out
idx_col_out = indices_in(reordering(4)) + (indices_in(reordering(3)) - 1)*ncol_secidx_out
send_prow = fm_out%matrix_struct%g2p_row(idx_row_out)
send_pcol = fm_out%matrix_struct%g2p_col(idx_col_out)
proc_send = fm_out%matrix_struct%context%blacs2mpi(send_prow, send_pcol)
entry_counter(proc_send) = entry_counter(proc_send) + 1
buffer_send(proc_send)%msg(entry_counter(proc_send)) = &
fm_in%local_data(row_idx_loc, col_idx_loc)
buffer_send(proc_send)%indx(entry_counter(proc_send), 1) = idx_row_out
buffer_send(proc_send)%indx(entry_counter(proc_send), 2) = idx_col_out
END DO
END DO
ALLOCATE (req_array(1:para_env_out%num_pe, 4))
CALL timestop(handle2)
CALL timeset(routineN//"_5_comm_buffer", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A21)') 'BSE|DEBUG|', 'Communicating buffers'
END IF
! communicate the buffer
CALL communicate_buffer(para_env_out, num_entries_rec, num_entries_send, buffer_rec, &
buffer_send, req_array)
CALL timestop(handle2)
CALL timeset(routineN//"_6_buffer_to_fmout"//fm_out%name, handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A24,A10)') 'BSE|DEBUG|', 'Writing from buffers to ', fm_out%name
END IF
! fill fm_out with the entries from buffer_rec, i.e. buffer_rec are parts of fm_in
nprocs = para_env_out%num_pe
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP SHARED(fm_out, nprocs, num_entries_rec, buffer_rec, beta) &
!$OMP PRIVATE(iproc, i_entry_rec, ii, jj)
DO iproc = 0, nprocs - 1
DO i_entry_rec = 1, num_entries_rec(iproc)
ii = fm_out%matrix_struct%g2l_row(buffer_rec(iproc)%indx(i_entry_rec, 1))
jj = fm_out%matrix_struct%g2l_col(buffer_rec(iproc)%indx(i_entry_rec, 2))
fm_out%local_data(ii, jj) = fm_out%local_data(ii, jj) + beta*buffer_rec(iproc)%msg(i_entry_rec)
END DO
END DO
!$OMP END PARALLEL DO
CALL timestop(handle2)
CALL timeset(routineN//"_7_cleanup", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A41)') 'BSE|DEBUG|', 'Starting cleanup of communication buffers'
END IF
!Clean up all the arrays from the communication process
DO iproc = 0, para_env_out%num_pe - 1
DEALLOCATE (buffer_rec(iproc)%msg)
DEALLOCATE (buffer_rec(iproc)%indx)
DEALLOCATE (buffer_send(iproc)%msg)
DEALLOCATE (buffer_send(iproc)%indx)
END DO
DEALLOCATE (buffer_rec, buffer_send)
DEALLOCATE (req_array)
DEALLOCATE (entry_counter)
DEALLOCATE (num_entries_rec, num_entries_send)
CALL timestop(handle2)
CALL timestop(handle)
END SUBROUTINE fm_general_add_bse
! **************************************************************************************************
!> \brief Routine for truncating a full matrix as given by the energy cutoffs in the input file.
!> Logic: Matrices have some dimension dimen_RI x nrow_in*ncol_in for the incoming (untruncated) matrix
!> and dimen_RI x nrow_out*ncol_out for the truncated matrix. The truncation is done by resorting the indices
!> via parallel communication.
!> \param fm_out ...
!> \param fm_in ...
!> \param ncol_in ...
!> \param nrow_out ...
!> \param ncol_out ...
!> \param unit_nr ...
!> \param mp2_env ...
!> \param nrow_offset ...
!> \param ncol_offset ...
! **************************************************************************************************
SUBROUTINE truncate_fm(fm_out, fm_in, ncol_in, &
nrow_out, ncol_out, unit_nr, mp2_env, &
nrow_offset, ncol_offset)
TYPE(cp_fm_type), INTENT(INOUT) :: fm_out
TYPE(cp_fm_type), INTENT(IN) :: fm_in
INTEGER :: ncol_in, nrow_out, ncol_out, unit_nr
TYPE(mp2_type), INTENT(INOUT) :: mp2_env
INTEGER, INTENT(IN), OPTIONAL :: nrow_offset, ncol_offset
CHARACTER(LEN=*), PARAMETER :: routineN = 'truncate_fm'
INTEGER :: col_idx_loc, dummy, handle, handle2, i_entry_rec, idx_col_first, idx_col_in, &
idx_col_out, idx_col_sec, idx_row_in, ii, iproc, jj, ncol_block_in, ncol_block_out, &
ncol_local_in, ncol_local_out, nprocs, nrow_block_in, nrow_block_out, nrow_local_in, &
nrow_local_out, proc_send, row_idx_loc, send_pcol, send_prow
INTEGER, ALLOCATABLE, DIMENSION(:) :: entry_counter, num_entries_rec, &
num_entries_send
INTEGER, DIMENSION(:), POINTER :: col_indices_in, col_indices_out, &
row_indices_in, row_indices_out
LOGICAL :: correct_ncol, correct_nrow
TYPE(integ_mat_buffer_type), ALLOCATABLE, &
DIMENSION(:) :: buffer_rec, buffer_send
TYPE(mp_para_env_type), POINTER :: para_env_out
TYPE(mp_request_type), DIMENSION(:, :), POINTER :: req_array
CALL timeset(routineN, handle)
CALL timeset(routineN//"_1_setup", handle2)
correct_nrow = .FALSE.
correct_ncol = .FALSE.
!In case of truncation in the occupied space, we need to correct the interval of indices
IF (PRESENT(nrow_offset)) THEN
correct_nrow = .TRUE.
END IF
IF (PRESENT(ncol_offset)) THEN
correct_ncol = .TRUE.
END IF
para_env_out => fm_out%matrix_struct%para_env
CALL cp_fm_get_info(matrix=fm_out, &
nrow_local=nrow_local_out, &
ncol_local=ncol_local_out, &
row_indices=row_indices_out, &
col_indices=col_indices_out, &
nrow_block=nrow_block_out, &
ncol_block=ncol_block_out)
ALLOCATE (num_entries_rec(0:para_env_out%num_pe - 1))
ALLOCATE (num_entries_send(0:para_env_out%num_pe - 1))
num_entries_rec(:) = 0
num_entries_send(:) = 0
dummy = 0
CALL cp_fm_get_info(matrix=fm_in, &
nrow_local=nrow_local_in, &
ncol_local=ncol_local_in, &
row_indices=row_indices_in, &
col_indices=col_indices_in, &
nrow_block=nrow_block_in, &
ncol_block=ncol_block_in)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A14,A10,T71,I10)') 'BSE|DEBUG|', 'Row number of ', fm_out%name, &
fm_out%matrix_struct%nrow_global
WRITE (unit_nr, '(T2,A10,T13,A17,A10,T71,I10)') 'BSE|DEBUG|', 'Column number of ', fm_out%name, &
fm_out%matrix_struct%ncol_global
WRITE (unit_nr, '(T2,A10,T13,A18,A10,T71,I10)') 'BSE|DEBUG|', 'Row block size of ', fm_out%name, nrow_block_out
WRITE (unit_nr, '(T2,A10,T13,A21,A10,T71,I10)') 'BSE|DEBUG|', 'Column block size of ', fm_out%name, ncol_block_out
WRITE (unit_nr, '(T2,A10,T13,A14,A10,T71,I10)') 'BSE|DEBUG|', 'Row number of ', fm_in%name, &
fm_in%matrix_struct%nrow_global
WRITE (unit_nr, '(T2,A10,T13,A17,A10,T71,I10)') 'BSE|DEBUG|', 'Column number of ', fm_in%name, &
fm_in%matrix_struct%ncol_global
WRITE (unit_nr, '(T2,A10,T13,A18,A10,T71,I10)') 'BSE|DEBUG|', 'Row block size of ', fm_in%name, nrow_block_in
WRITE (unit_nr, '(T2,A10,T13,A21,A10,T71,I10)') 'BSE|DEBUG|', 'Column block size of ', fm_in%name, ncol_block_in
END IF
! We find global indices in S with nrow_in and ncol_in for truncation
DO col_idx_loc = 1, ncol_local_in
idx_col_in = col_indices_in(col_idx_loc)
idx_col_first = (idx_col_in - 1)/ncol_in + 1
idx_col_sec = MOD(idx_col_in - 1, ncol_in) + 1
! If occupied orbitals are included, these have to be handled differently
! due to their reversed indexing
IF (correct_nrow) THEN
idx_col_first = idx_col_first - nrow_offset + 1
IF (idx_col_first .LE. 0) CYCLE
ELSE
IF (idx_col_first > nrow_out) EXIT
END IF
IF (correct_ncol) THEN
idx_col_sec = idx_col_sec - ncol_offset + 1
IF (idx_col_sec .LE. 0) CYCLE
ELSE
IF (idx_col_sec > ncol_out) CYCLE
END IF
idx_col_out = idx_col_sec + (idx_col_first - 1)*ncol_out
DO row_idx_loc = 1, nrow_local_in
idx_row_in = row_indices_in(row_idx_loc)
send_prow = fm_out%matrix_struct%g2p_row(idx_row_in)
send_pcol = fm_out%matrix_struct%g2p_col(idx_col_out)
proc_send = fm_out%matrix_struct%context%blacs2mpi(send_prow, send_pcol)
num_entries_send(proc_send) = num_entries_send(proc_send) + 1
END DO
END DO
CALL timestop(handle2)
CALL timeset(routineN//"_2_comm_entry_nums", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A27)') 'BSE|DEBUG|', 'Communicating entry numbers'
END IF
CALL para_env_out%alltoall(num_entries_send, num_entries_rec, 1)
CALL timestop(handle2)
CALL timeset(routineN//"_3_alloc_buffer", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A18)') 'BSE|DEBUG|', 'Allocating buffers'
END IF
! Buffers for entries and their indices
ALLOCATE (buffer_rec(0:para_env_out%num_pe - 1))
ALLOCATE (buffer_send(0:para_env_out%num_pe - 1))
! allocate data message and corresponding indices
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_rec(iproc)%msg(num_entries_rec(iproc)))
buffer_rec(iproc)%msg = 0.0_dp
END DO
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_send(iproc)%msg(num_entries_send(iproc)))
buffer_send(iproc)%msg = 0.0_dp
END DO
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_rec(iproc)%indx(num_entries_rec(iproc), 2))
buffer_rec(iproc)%indx = 0
END DO
DO iproc = 0, para_env_out%num_pe - 1
ALLOCATE (buffer_send(iproc)%indx(num_entries_send(iproc), 2))
buffer_send(iproc)%indx = 0
END DO
CALL timestop(handle2)
CALL timeset(routineN//"_4_buf_from_fmin_"//fm_out%name, handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A18,A10,A13)') 'BSE|DEBUG|', 'Writing data from ', fm_in%name, ' into buffers'
END IF
ALLOCATE (entry_counter(0:para_env_out%num_pe - 1))
entry_counter(:) = 0
! Now we can write the actual data and indices to the send-buffer
DO col_idx_loc = 1, ncol_local_in
idx_col_in = col_indices_in(col_idx_loc)
idx_col_first = (idx_col_in - 1)/ncol_in + 1
idx_col_sec = MOD(idx_col_in - 1, ncol_in) + 1
! If occupied orbitals are included, these have to be handled differently
! due to their reversed indexing
IF (correct_nrow) THEN
idx_col_first = idx_col_first - nrow_offset + 1
IF (idx_col_first .LE. 0) CYCLE
ELSE
IF (idx_col_first > nrow_out) EXIT
END IF
IF (correct_ncol) THEN
idx_col_sec = idx_col_sec - ncol_offset + 1
IF (idx_col_sec .LE. 0) CYCLE
ELSE
IF (idx_col_sec > ncol_out) CYCLE
END IF
idx_col_out = idx_col_sec + (idx_col_first - 1)*ncol_out
DO row_idx_loc = 1, nrow_local_in
idx_row_in = row_indices_in(row_idx_loc)
send_prow = fm_out%matrix_struct%g2p_row(idx_row_in)
send_pcol = fm_out%matrix_struct%g2p_col(idx_col_out)
proc_send = fm_out%matrix_struct%context%blacs2mpi(send_prow, send_pcol)
entry_counter(proc_send) = entry_counter(proc_send) + 1
buffer_send(proc_send)%msg(entry_counter(proc_send)) = &
fm_in%local_data(row_idx_loc, col_idx_loc)
!No need to create row_out, since it is identical to incoming
!We dont change the RI index for any fm_mat_XX_BSE
buffer_send(proc_send)%indx(entry_counter(proc_send), 1) = idx_row_in
buffer_send(proc_send)%indx(entry_counter(proc_send), 2) = idx_col_out
END DO
END DO
ALLOCATE (req_array(1:para_env_out%num_pe, 4))
CALL timestop(handle2)
CALL timeset(routineN//"_5_comm_buffer", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A21)') 'BSE|DEBUG|', 'Communicating buffers'
END IF
! communicate the buffer
CALL communicate_buffer(para_env_out, num_entries_rec, num_entries_send, buffer_rec, &
buffer_send, req_array)
CALL timestop(handle2)
CALL timeset(routineN//"_6_buffer_to_fmout"//fm_out%name, handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A24,A10)') 'BSE|DEBUG|', 'Writing from buffers to ', fm_out%name
END IF
! fill fm_out with the entries from buffer_rec, i.e. buffer_rec are parts of fm_in
nprocs = para_env_out%num_pe
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP SHARED(fm_out, nprocs, num_entries_rec, buffer_rec) &
!$OMP PRIVATE(iproc, i_entry_rec, ii, jj)
DO iproc = 0, nprocs - 1
DO i_entry_rec = 1, num_entries_rec(iproc)
ii = fm_out%matrix_struct%g2l_row(buffer_rec(iproc)%indx(i_entry_rec, 1))
jj = fm_out%matrix_struct%g2l_col(buffer_rec(iproc)%indx(i_entry_rec, 2))
fm_out%local_data(ii, jj) = fm_out%local_data(ii, jj) + buffer_rec(iproc)%msg(i_entry_rec)
END DO
END DO
!$OMP END PARALLEL DO
CALL timestop(handle2)
CALL timeset(routineN//"_7_cleanup", handle2)
IF (unit_nr > 0 .AND. mp2_env%bse%bse_debug_print) THEN
WRITE (unit_nr, '(T2,A10,T13,A41)') 'BSE|DEBUG|', 'Starting cleanup of communication buffers'
END IF
!Clean up all the arrays from the communication process
DO iproc = 0, para_env_out%num_pe - 1
DEALLOCATE (buffer_rec(iproc)%msg)
DEALLOCATE (buffer_rec(iproc)%indx)
DEALLOCATE (buffer_send(iproc)%msg)
DEALLOCATE (buffer_send(iproc)%indx)
END DO
DEALLOCATE (buffer_rec, buffer_send)
DEALLOCATE (req_array)
DEALLOCATE (entry_counter)
DEALLOCATE (num_entries_rec, num_entries_send)
CALL timestop(handle2)
CALL timestop(handle)
END SUBROUTINE truncate_fm
! **************************************************************************************************
!> \brief ...
!> \param fm_mat_S_bar_ia_bse ...
!> \param fm_mat_S_bar_ij_bse ...
!> \param fm_mat_S_trunc ...
!> \param fm_mat_S_ij_trunc ...
!> \param fm_mat_S_ab_trunc ...
!> \param fm_mat_Q_static_bse_gemm ...
!> \param mp2_env ...
! **************************************************************************************************
SUBROUTINE deallocate_matrices_bse(fm_mat_S_bar_ia_bse, fm_mat_S_bar_ij_bse, &
fm_mat_S_trunc, fm_mat_S_ij_trunc, fm_mat_S_ab_trunc, &
fm_mat_Q_static_bse_gemm, mp2_env)
TYPE(cp_fm_type), INTENT(INOUT) :: fm_mat_S_bar_ia_bse, fm_mat_S_bar_ij_bse, fm_mat_S_trunc, &
fm_mat_S_ij_trunc, fm_mat_S_ab_trunc, fm_mat_Q_static_bse_gemm
TYPE(mp2_type) :: mp2_env
CHARACTER(LEN=*), PARAMETER :: routineN = 'deallocate_matrices_bse'
INTEGER :: handle
CALL timeset(routineN, handle)
CALL cp_fm_release(fm_mat_S_bar_ia_bse)
CALL cp_fm_release(fm_mat_S_bar_ij_bse)
CALL cp_fm_release(fm_mat_S_trunc)
CALL cp_fm_release(fm_mat_S_ij_trunc)
CALL cp_fm_release(fm_mat_S_ab_trunc)
CALL cp_fm_release(fm_mat_Q_static_bse_gemm)
IF (mp2_env%bse%do_nto_analysis) THEN
DEALLOCATE (mp2_env%bse%bse_nto_state_list_final)
END IF
CALL timestop(handle)
END SUBROUTINE deallocate_matrices_bse
! **************************************************************************************************
!> \brief Routine for computing the coefficients of the eigenvectors of the BSE matrix from a
!> multiplication with the eigenvalues
!> \param fm_work ...
!> \param eig_vals ...
!> \param beta ...
!> \param gamma ...
!> \param do_transpose ...
! **************************************************************************************************
SUBROUTINE comp_eigvec_coeff_BSE(fm_work, eig_vals, beta, gamma, do_transpose)
TYPE(cp_fm_type), INTENT(INOUT) :: fm_work
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:), &
INTENT(IN) :: eig_vals
REAL(KIND=dp), INTENT(IN) :: beta
REAL(KIND=dp), INTENT(IN), OPTIONAL :: gamma
LOGICAL, INTENT(IN), OPTIONAL :: do_transpose
CHARACTER(LEN=*), PARAMETER :: routineN = 'comp_eigvec_coeff_BSE'
INTEGER :: handle, i_row_global, ii, j_col_global, &
jj, ncol_local, nrow_local
INTEGER, DIMENSION(:), POINTER :: col_indices, row_indices
LOGICAL :: my_do_transpose
REAL(KIND=dp) :: coeff, my_gamma
CALL timeset(routineN, handle)
IF (PRESENT(gamma)) THEN
my_gamma = gamma
ELSE
my_gamma = 2.0_dp
END IF
IF (PRESENT(do_transpose)) THEN
my_do_transpose = do_transpose
ELSE
my_do_transpose = .FALSE.
END IF
CALL cp_fm_get_info(matrix=fm_work, &
nrow_local=nrow_local, &
ncol_local=ncol_local, &
row_indices=row_indices, &
col_indices=col_indices)
IF (my_do_transpose) THEN
DO jj = 1, ncol_local
j_col_global = col_indices(jj)
DO ii = 1, nrow_local
coeff = (eig_vals(j_col_global)**beta)/my_gamma
fm_work%local_data(ii, jj) = fm_work%local_data(ii, jj)*coeff
END DO
END DO
ELSE
DO jj = 1, ncol_local
DO ii = 1, nrow_local
i_row_global = row_indices(ii)
coeff = (eig_vals(i_row_global)**beta)/my_gamma
fm_work%local_data(ii, jj) = fm_work%local_data(ii, jj)*coeff
END DO
END DO
END IF
CALL timestop(handle)
END SUBROUTINE
! **************************************************************************************************
!> \brief ...
!> \param idx_prim ...
!> \param idx_sec ...
!> \param eigvec_entries ...
! **************************************************************************************************
SUBROUTINE sort_excitations(idx_prim, idx_sec, eigvec_entries)
INTEGER, ALLOCATABLE, DIMENSION(:) :: idx_prim, idx_sec
REAL(kind=dp), ALLOCATABLE, DIMENSION(:) :: eigvec_entries
CHARACTER(LEN=*), PARAMETER :: routineN = 'sort_excitations'
INTEGER :: handle, ii, kk, num_entries, num_mults
INTEGER, ALLOCATABLE, DIMENSION(:) :: idx_prim_work, idx_sec_work, tmp_index
LOGICAL :: unique_entries
REAL(kind=dp), ALLOCATABLE, DIMENSION(:) :: eigvec_entries_work
CALL timeset(routineN, handle)
num_entries = SIZE(idx_prim)
ALLOCATE (tmp_index(num_entries))
CALL sort(idx_prim, num_entries, tmp_index)
ALLOCATE (idx_sec_work(num_entries))
ALLOCATE (eigvec_entries_work(num_entries))
DO ii = 1, num_entries
idx_sec_work(ii) = idx_sec(tmp_index(ii))
eigvec_entries_work(ii) = eigvec_entries(tmp_index(ii))
END DO
DEALLOCATE (tmp_index)
DEALLOCATE (idx_sec)
DEALLOCATE (eigvec_entries)
CALL MOVE_ALLOC(idx_sec_work, idx_sec)
CALL MOVE_ALLOC(eigvec_entries_work, eigvec_entries)
!Now check for multiple entries in first idx to check necessity of sorting in second idx
CALL sort_unique(idx_prim, unique_entries)
IF (.NOT. unique_entries) THEN
ALLOCATE (idx_prim_work(num_entries))
idx_prim_work(:) = idx_prim(:)
! Find duplicate entries in idx_prim
DO ii = 1, num_entries
IF (idx_prim_work(ii) == 0) CYCLE
num_mults = COUNT(idx_prim_work == idx_prim_work(ii))
IF (num_mults > 1) THEN
!Set all duplicate entries to 0
idx_prim_work(ii:ii + num_mults - 1) = 0
!Start sorting in secondary index
ALLOCATE (idx_sec_work(num_mults))
ALLOCATE (eigvec_entries_work(num_mults))
idx_sec_work(:) = idx_sec(ii:ii + num_mults - 1)
eigvec_entries_work(:) = eigvec_entries(ii:ii + num_mults - 1)
ALLOCATE (tmp_index(num_mults))
CALL sort(idx_sec_work, num_mults, tmp_index)
!Now write newly sorted indices to original arrays
DO kk = ii, ii + num_mults - 1
idx_sec(kk) = idx_sec_work(kk - ii + 1)
eigvec_entries(kk) = eigvec_entries_work(tmp_index(kk - ii + 1))
END DO
!Deallocate work arrays
DEALLOCATE (tmp_index)
DEALLOCATE (idx_sec_work)
DEALLOCATE (eigvec_entries_work)
END IF
idx_prim_work(ii) = idx_prim(ii)
END DO
DEALLOCATE (idx_prim_work)
END IF
CALL timestop(handle)
END SUBROUTINE sort_excitations
! **************************************************************************************************
!> \brief Roughly estimates the needed runtime and memory during the BSE run
!> \param homo_red ...
!> \param virtual_red ...
!> \param unit_nr ...
!> \param bse_abba ...
!> \param para_env ...
!> \param diag_runtime_est ...
! **************************************************************************************************
SUBROUTINE estimate_BSE_resources(homo_red, virtual_red, unit_nr, bse_abba, &
para_env, diag_runtime_est)
INTEGER :: homo_red, virtual_red, unit_nr
LOGICAL :: bse_abba
TYPE(mp_para_env_type), POINTER :: para_env
REAL(KIND=dp) :: diag_runtime_est
CHARACTER(LEN=*), PARAMETER :: routineN = 'estimate_BSE_resources'
INTEGER :: handle, num_BSE_matrices
INTEGER(KIND=int_8) :: full_dim
REAL(KIND=dp) :: mem_est, mem_est_per_rank
CALL timeset(routineN, handle)
! Number of matrices with size of A in TDA is 2 (A itself and W_ijab)
num_BSE_matrices = 2
! With the full diagonalization of ABBA, we need several auxiliary matrices in the process
! The maximum number is 2 + 2 + 6 (additional B and C matrix as well as 6 matrices to create C)
IF (bse_abba) THEN
num_BSE_matrices = 10
END IF
full_dim = (INT(homo_red, KIND=int_8)**2*INT(virtual_red, KIND=int_8)**2)*INT(num_BSE_matrices, KIND=int_8)
mem_est = REAL(8*full_dim, KIND=dp)/REAL(1024**3, KIND=dp)
mem_est_per_rank = REAL(mem_est/para_env%num_pe, KIND=dp)
IF (unit_nr > 0) THEN
! WRITE (unit_nr, '(T2,A4,T7,A40,T68,F13.3)') 'BSE|', 'Total peak memory estimate from BSE [GB]', &
! mem_est
WRITE (unit_nr, '(T2,A4,T7,A40,T68,ES13.3)') 'BSE|', 'Total peak memory estimate from BSE [GB]', &
mem_est
WRITE (unit_nr, '(T2,A4,T7,A47,T68,F13.3)') 'BSE|', 'Peak memory estimate per MPI rank from BSE [GB]', &
mem_est_per_rank
WRITE (unit_nr, '(T2,A4)') 'BSE|'
END IF
! Rough estimation of diagonalization runtimes. Baseline was a full BSE Naphthalene
! run with 11000x11000 entries in A/B/C, which took 10s on 32 ranks
diag_runtime_est = REAL(INT(homo_red, KIND=int_8)*INT(virtual_red, KIND=int_8)/11000_int_8, KIND=dp)**3* &
10*32/REAL(para_env%num_pe, KIND=dp)
CALL timestop(handle)
END SUBROUTINE estimate_BSE_resources
! **************************************************************************************************
!> \brief Filters eigenvector entries above a given threshold to describe excitations in the
!> singleparticle basis
!> \param fm_eigvec ...
!> \param idx_homo ...
!> \param idx_virt ...
!> \param eigvec_entries ...
!> \param i_exc ...
!> \param virtual ...
!> \param num_entries ...
!> \param mp2_env ...
! **************************************************************************************************
SUBROUTINE filter_eigvec_contrib(fm_eigvec, idx_homo, idx_virt, eigvec_entries, &
i_exc, virtual, num_entries, mp2_env)
TYPE(cp_fm_type), INTENT(IN) :: fm_eigvec
INTEGER, ALLOCATABLE, DIMENSION(:) :: idx_homo, idx_virt
REAL(kind=dp), ALLOCATABLE, DIMENSION(:) :: eigvec_entries
INTEGER :: i_exc, virtual, num_entries
TYPE(mp2_type), INTENT(INOUT) :: mp2_env