From 374a88bc624396370660182f6da3d876934b35b9 Mon Sep 17 00:00:00 2001 From: Abdallah Ammar Date: Thu, 8 Jun 2023 15:51:52 +0200 Subject: [PATCH] normal ordering with DGEMM: OK --- src/tc_bi_ortho/normal_ordered.irp.f | 1230 ++++++++--------- .../normal_ordered_contractions.irp.f | 1062 ++++++++++++++ 2 files changed, 1615 insertions(+), 677 deletions(-) create mode 100644 src/tc_bi_ortho/normal_ordered_contractions.irp.f diff --git a/src/tc_bi_ortho/normal_ordered.irp.f b/src/tc_bi_ortho/normal_ordered.irp.f index fea229c9..7259c270 100644 --- a/src/tc_bi_ortho/normal_ordered.irp.f +++ b/src/tc_bi_ortho/normal_ordered.irp.f @@ -11,16 +11,15 @@ BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth, (mo_num, mo_num, mo_ implicit none - integer :: i, h1, p1, h2, p2 + integer :: i, ii, h1, p1, h2, p2, ipoint integer :: hh1, hh2, pp1, pp2 integer :: Ne(2) - double precision :: hthree_aaa, hthree_aab - double precision :: wall0, wall1 + double precision :: wall0, wall1, walli, wallf integer, allocatable :: occ(:,:) integer(bit_kind), allocatable :: key_i_core(:,:) print*,' Providing normal_two_body_bi_orth ...' - call wall_time(wall0) + call wall_time(walli) if(read_tc_norm_ord) then @@ -30,6 +29,11 @@ BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth, (mo_num, mo_num, mo_ else + double precision, allocatable :: tmp_2d(:,:), tmp_3d(:,:,:) + double precision, allocatable :: tmp1(:,:,:), tmp2(:,:), tmp3(:,:,:) + double precision, allocatable :: tmpval_1(:), tmpval_2(:), tmpvec_1(:,:), tmpvec_2(:,:), tmpvec_3(:,:) + double precision, allocatable :: tmp(:,:,:,:) + PROVIDE N_int allocate( occ(N_int*bit_kind_size,2) ) @@ -45,224 +49,33 @@ BEGIN_PROVIDER [ double precision, normal_two_body_bi_orth, (mo_num, mo_num, mo_ call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int) endif - PROVIDE no_aba_contraction - PROVIDE no_aab_contraction - PROVIDE no_aaa_contraction + allocate(tmp(mo_num,mo_num,mo_num,mo_num)) - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (hh1, h1, hh2, h2, pp1, p1, pp2, p2, hthree_aab, hthree_aaa) & - !$OMP SHARED (N_int, n_act_orb, list_act, Ne, occ, normal_two_body_bi_orth, & - !$OMP no_aba_contraction, no_aab_contraction, no_aaa_contraction) - !$OMP DO SCHEDULE (static) - do hh1 = 1, n_act_orb - h1 = list_act(hh1) + ! --- + ! aba contraction - do pp1 = 1, n_act_orb - p1 = list_act(pp1) + print*,' Providing aba_contraction ...' + call wall_time(wall0) - do hh2 = 1, n_act_orb - h2 = list_act(hh2) + tmp = 0.d0 - do pp2 = 1, n_act_orb - p2 = list_act(pp2) + allocate(tmp_3d(mo_num,mo_num,mo_num)) + allocate(tmp1(n_points_final_grid,3,mo_num)) + allocate(tmp2(n_points_final_grid,mo_num)) + allocate(tmpval_1(n_points_final_grid)) + allocate(tmpval_2(n_points_final_grid)) + allocate(tmpvec_1(n_points_final_grid,3)) + allocate(tmpvec_2(n_points_final_grid,3)) + allocate(tmp_2d(mo_num,mo_num)) - normal_two_body_bi_orth(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + no_aab_contraction(p2,h2,p1,h1) + no_aaa_contraction(p2,h2,p1,h1) - enddo - enddo - enddo - enddo - !$OMP END DO - !$OMP END PARALLEL - - deallocate( occ ) - deallocate( key_i_core ) - endif - - if(write_tc_norm_ord.and.mpi_master) then - open(unit=11, form="unformatted", file=trim(ezfio_filename)//'/work/normal_two_body_bi_orth', action="write") - call ezfio_set_work_empty(.False.) - write(11) normal_two_body_bi_orth - close(11) - call ezfio_set_tc_keywords_io_tc_integ('Read') - endif - - call wall_time(wall1) - print*,' Wall time for normal_two_body_bi_orth ', wall1-wall0 - -END_PROVIDER - -! --- - -BEGIN_PROVIDER [ double precision, no_aba_contraction, (mo_num,mo_num,mo_num,mo_num)] - - use bitmasks ! you need to include the bitmasks_module.f90 features - - implicit none - integer :: i, ii, h1, p1, h2, p2, ipoint - integer :: Ne(2) - double precision :: wall0, wall1 - integer, allocatable :: occ(:,:) - integer(bit_kind), allocatable :: key_i_core(:,:) - double precision, allocatable :: tmp_3d(:,:,:) - double precision, allocatable :: tmp1(:,:,:), tmp2(:,:) - double precision, allocatable :: tmpval_1(:), tmpval_2(:), tmpvec_1(:,:), tmpvec_2(:,:) - double precision, allocatable :: tmp_2d(:,:) - - print*,' Providing no_aba_contraction ...' - call wall_time(wall0) - - PROVIDE N_int - - allocate(occ(N_int*bit_kind_size,2)) - allocate(key_i_core(N_int,2)) - - if(core_tc_op) then - do i = 1, N_int - key_i_core(i,1) = xor(ref_bitmask(i,1), core_bitmask(i,1)) - key_i_core(i,2) = xor(ref_bitmask(i,2), core_bitmask(i,2)) - enddo - call bitstring_to_list_ab(key_i_core, occ, Ne, N_int) - else - call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int) - endif - - allocate(tmp_3d(mo_num,mo_num,mo_num)) - allocate(tmp1(n_points_final_grid,3,mo_num)) - allocate(tmp2(n_points_final_grid,mo_num)) - allocate(tmpval_1(n_points_final_grid)) - allocate(tmpval_2(n_points_final_grid)) - allocate(tmpvec_1(n_points_final_grid,3)) - allocate(tmpvec_2(n_points_final_grid,3)) - allocate(tmp_2d(mo_num,mo_num)) - - - ! purely closed shell part - do ii = 1, Ne(2) - i = occ(ii,2) - - ! to avoid tmp(N^4) - do h1 = 1, mo_num - - ! to minimize the number of operations - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (ipoint) & - !$OMP SHARED (n_points_final_grid, i, h1, & - !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & - !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & - !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2) - !$OMP DO - do ipoint = 1, n_points_final_grid - tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint, i) - tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i, i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i, i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i, i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint, i) - tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint, i) - tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint, i) - enddo - !$OMP END DO - !$OMP END PARALLEL - - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (p1, ipoint) & - !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & - !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & - !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmp1) - !$OMP DO - do p1 = 1, mo_num - do ipoint = 1, n_points_final_grid - tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,1) - tmpvec_2(ipoint,1)) & - + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) - tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,2) - tmpvec_2(ipoint,2)) & - + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) - tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,3) - tmpvec_2(ipoint,3)) & - + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) - enddo - enddo - !$OMP END DO - !$OMP END PARALLEL - - call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0 & - , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & - , tmp1(1,1,1), 3*n_points_final_grid & - , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) - - !$OMP PARALLEL DO PRIVATE(p1,h2,p2) - do p1 = 1, mo_num - do h2 = 1, mo_num - do p2 = 1, mo_num - no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) - enddo - enddo - enddo - !$OMP END PARALLEL DO + ! purely closed shell part + do ii = 1, Ne(2) + i = occ(ii,2) ! to avoid tmp(N^4) - do p1 = 1, mo_num - - ! to minimize the number of operations - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (ipoint) & - !$OMP SHARED (n_points_final_grid, i, h1, p1, & - !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & - !$OMP tmpval_1) - !$OMP DO - do ipoint = 1, n_points_final_grid - tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1, i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & - + int2_grad1_u12_bimo_t(ipoint,2, i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & - + int2_grad1_u12_bimo_t(ipoint,3, i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) & - - int2_grad1_u12_bimo_t(ipoint,1,p1,i) * int2_grad1_u12_bimo_t(ipoint,1, i,h1) & - - int2_grad1_u12_bimo_t(ipoint,2,p1,i) * int2_grad1_u12_bimo_t(ipoint,2, i,h1) & - - int2_grad1_u12_bimo_t(ipoint,3,p1,i) * int2_grad1_u12_bimo_t(ipoint,3, i,h1) ) - enddo - !$OMP END DO - !$OMP END PARALLEL - - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (h2, ipoint) & - !$OMP SHARED (mo_num, n_points_final_grid, & - !$OMP mos_r_in_r_array_transp, & - !$OMP tmpval_1, tmp2) - !$OMP DO - do h2 = 1, mo_num - do ipoint = 1, n_points_final_grid - tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) - enddo - enddo - !$OMP END DO - !$OMP END PARALLEL - - call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & - , mos_l_in_r_array_transp(1,1), n_points_final_grid & - , tmp2(1,1), n_points_final_grid & - , 0.d0, tmp_2d(1,1), mo_num) - - !$OMP PARALLEL DO PRIVATE(h2,p2) - do h2 = 1, mo_num - do p2 = 1, mo_num - no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) - enddo - enddo - !$OMP END PARALLEL DO - - enddo ! p1 - enddo ! h1 - enddo ! i - - - ! purely open-shell part - if(Ne(2) < Ne(1)) then - do ii = Ne(2) + 1, Ne(1) - i = occ(ii,1) - do h1 = 1, mo_num + ! to minimize the number of operations !$OMP PARALLEL & !$OMP DEFAULT (NONE) & !$OMP PRIVATE (ipoint) & @@ -304,29 +117,30 @@ BEGIN_PROVIDER [ double precision, no_aba_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP END DO !$OMP END PARALLEL - call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & - , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & - , tmp1(1,1,1), 3*n_points_final_grid & + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) !$OMP PARALLEL DO PRIVATE(p1,h2,p2) do p1 = 1, mo_num do h2 = 1, mo_num do p2 = 1, mo_num - no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) enddo enddo enddo !$OMP END PARALLEL DO + ! to avoid tmp(N^4) do p1 = 1, mo_num ! to minimize the number of operations - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (ipoint) & - !$OMP SHARED (n_points_final_grid, i, h1, p1, & - !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & !$OMP tmpval_1) !$OMP DO do ipoint = 1, n_points_final_grid @@ -355,313 +169,171 @@ BEGIN_PROVIDER [ double precision, no_aba_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP END DO !$OMP END PARALLEL - call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & - , mos_l_in_r_array_transp(1,1), n_points_final_grid & - , tmp2(1,1), n_points_final_grid & + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & , 0.d0, tmp_2d(1,1), mo_num) !$OMP PARALLEL DO PRIVATE(h2,p2) do h2 = 1, mo_num do p2 = 1, mo_num - no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_2d(p2,h2) enddo enddo !$OMP END PARALLEL DO enddo ! p1 enddo ! h1 - enddo !i - endif + enddo ! i - deallocate(tmp_2d, tmp_3d) - deallocate(tmp1, tmp2) - deallocate(tmpval_1, tmpval_2) - deallocate(tmpvec_1, tmpvec_2) + ! purely open-shell part + if(Ne(2) < Ne(1)) then + do ii = Ne(2) + 1, Ne(1) + i = occ(ii,1) - no_aba_contraction = -0.5d0 * no_aba_contraction - call sum_A_At(no_aba_contraction(1,1,1,1), mo_num*mo_num) + do h1 = 1, mo_num - call wall_time(wall1) - print*,' Wall time for no_aba_contraction', wall1-wall0 - -END_PROVIDER - -! --- - -BEGIN_PROVIDER [ double precision, no_aab_contraction, (mo_num,mo_num,mo_num,mo_num)] - - use bitmasks ! you need to include the bitmasks_module.f90 features - - implicit none - integer :: i, ii, h1, p1, h2, p2, ipoint - integer :: Ne(2) - double precision :: wall0, wall1 - integer, allocatable :: occ(:,:) - integer(bit_kind), allocatable :: key_i_core(:,:) - double precision, allocatable :: tmp_3d(:,:,:) - double precision, allocatable :: tmp1(:,:,:), tmp2(:,:) - double precision, allocatable :: tmpval_1(:), tmpvec_1(:,:) - double precision, allocatable :: tmp_2d(:,:) - - print*,' Providing no_aab_contraction ...' - call wall_time(wall0) - - PROVIDE N_int - - allocate(occ(N_int*bit_kind_size,2)) - allocate(key_i_core(N_int,2)) - - if(core_tc_op) then - do i = 1, N_int - key_i_core(i,1) = xor(ref_bitmask(i,1), core_bitmask(i,1)) - key_i_core(i,2) = xor(ref_bitmask(i,2), core_bitmask(i,2)) - enddo - call bitstring_to_list_ab(key_i_core, occ, Ne, N_int) - else - call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int) - endif - - allocate(tmp_2d(mo_num,mo_num)) - allocate(tmp_3d(mo_num,mo_num,mo_num)) - allocate(tmp1(n_points_final_grid,3,mo_num)) - allocate(tmp2(n_points_final_grid,mo_num)) - allocate(tmpval_1(n_points_final_grid)) - allocate(tmpvec_1(n_points_final_grid,3)) - - - ! purely closed shell part - do ii = 1, Ne(2) - i = occ(ii,2) - - ! to avoid tmp(N^4) - do h1 = 1, mo_num - - ! to minimize the number of operations - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (ipoint) & - !$OMP SHARED (n_points_final_grid, i, h1, & - !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & - !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & - !$OMP tmpval_1, tmpvec_1) - !$OMP DO - do ipoint = 1, n_points_final_grid - tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i) - tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,i) * mos_r_in_r_array_transp(ipoint,h1) - enddo - !$OMP END DO - !$OMP END PARALLEL - - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (p1, ipoint) & - !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & - !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & - !$OMP tmpval_1, tmpvec_1, tmp1) - !$OMP DO - do p1 = 1, mo_num - do ipoint = 1, n_points_final_grid - tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,1) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) - tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,2) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) - tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,3) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) - enddo - enddo - !$OMP END DO - !$OMP END PARALLEL - - call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0 & - , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & - , tmp1(1,1,1), 3*n_points_final_grid & - , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) - - !$OMP PARALLEL DO PRIVATE(p1,h2,p2) - do p1 = 1, mo_num - do h2 = 1, mo_num - do p2 = 1, mo_num - no_aab_contraction(p2,h2,p1,h1) = no_aab_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) - enddo - enddo - enddo - !$OMP END PARALLEL DO - - ! to avoid tmp(N^4) - do p1 = 1, mo_num - - ! to minimize the number of operations - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (ipoint) & - !$OMP SHARED (n_points_final_grid, i, h1, p1, & - !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & - !$OMP tmpval_1) - !$OMP DO - do ipoint = 1, n_points_final_grid - tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & - + int2_grad1_u12_bimo_t(ipoint,2,i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & - + int2_grad1_u12_bimo_t(ipoint,3,i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) ) - enddo - !$OMP END DO - !$OMP END PARALLEL - - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (h2, ipoint) & - !$OMP SHARED (mo_num, n_points_final_grid, & - !$OMP mos_r_in_r_array_transp, & - !$OMP tmpval_1, tmp2) - !$OMP DO - do h2 = 1, mo_num + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2) + !$OMP DO do ipoint = 1, n_points_final_grid - tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint, i) + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint, i) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint, i) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint, i) enddo - enddo - !$OMP END DO - !$OMP END PARALLEL + !$OMP END DO + !$OMP END PARALLEL - call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & - , mos_l_in_r_array_transp(1,1), n_points_final_grid & - , tmp2(1,1), n_points_final_grid & - , 0.d0, tmp_2d(1,1), mo_num) - - !$OMP PARALLEL DO PRIVATE(h2,p2) - do h2 = 1, mo_num - do p2 = 1, mo_num - no_aab_contraction(p2,h2,p1,h1) = no_aab_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p1, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmp1) + !$OMP DO + do p1 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,1) - tmpvec_2(ipoint,1)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) + tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,2) - tmpvec_2(ipoint,2)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) + tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,3) - tmpvec_2(ipoint,3)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) + enddo enddo - enddo - !$OMP END PARALLEL DO + !$OMP END DO + !$OMP END PARALLEL - enddo ! p1 - enddo ! h1 - enddo ! i + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) - deallocate(tmp_3d) - deallocate(tmp1, tmp2) - deallocate(tmpval_1) - deallocate(tmpvec_1) + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + enddo + enddo + enddo + !$OMP END PARALLEL DO - no_aab_contraction = -0.5d0 * no_aab_contraction + do p1 = 1, mo_num - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (h1, h2, p1, p2) & - !$OMP SHARED (no_aab_contraction, mo_num) + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1) + !$OMP DO + do ipoint = 1, n_points_final_grid + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1, i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2, i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3, i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) & + - int2_grad1_u12_bimo_t(ipoint,1,p1,i) * int2_grad1_u12_bimo_t(ipoint,1, i,h1) & + - int2_grad1_u12_bimo_t(ipoint,2,p1,i) * int2_grad1_u12_bimo_t(ipoint,2, i,h1) & + - int2_grad1_u12_bimo_t(ipoint,3,p1,i) * int2_grad1_u12_bimo_t(ipoint,3, i,h1) ) + enddo + !$OMP END DO + !$OMP END PARALLEL - !$OMP DO - do h1 = 1, mo_num - do h2 = 1, mo_num - do p1 = 1, mo_num - do p2 = p1, mo_num - no_aab_contraction(p2,h2,p1,h1) -= no_aab_contraction(p1,h2,p2,h1) - enddo - enddo - enddo - enddo - !$OMP END DO + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, & + !$OMP mos_r_in_r_array_transp, & + !$OMP tmpval_1, tmp2) + !$OMP DO + do h2 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL - !$OMP DO - do h1 = 1, mo_num - do h2 = 1, mo_num - do p1 = 2, mo_num - do p2 = 1, p1-1 - no_aab_contraction(p2,h2,p1,h1) = -no_aab_contraction(p1,h2,p2,h1) - enddo - enddo - enddo - enddo - !$OMP END DO + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) - !$OMP DO - do h1 = 1, mo_num-1 - do h2 = h1+1, mo_num - do p1 = 2, mo_num - do p2 = 1, p1-1 - no_aab_contraction(p2,h2,p1,h1) *= -1.d0 - enddo - enddo - enddo - enddo - !$OMP END PARALLEL + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO - call wall_time(wall1) - print*,' Wall time for no_aab_contraction', wall1-wall0 + enddo ! p1 + enddo ! h1 + enddo !i + endif -END_PROVIDER + deallocate(tmp_3d) + deallocate(tmp1) + deallocate(tmp2) + deallocate(tmpval_1) + deallocate(tmpval_2) + deallocate(tmpvec_1) + deallocate(tmpvec_2) + deallocate(tmp_2d) -! --- + tmp = -0.5d0 * tmp + call sum_A_At(tmp(1,1,1,1), mo_num*mo_num) -BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_num)] + call wall_time(wall1) + print*,' Wall time for aba_contraction', wall1-wall0 - BEGIN_DOC - ! - ! if: - ! h1 < h2 - ! p1 > p2 - ! - ! no_aaa_contraction(p2,h2.p1,h1) = 0.5 [Ialpha(p2,h1,p1,h2) + Ibeta(p2,h1,p1,h2)] - ! = -0.5 [Ialpha(p2,h2,p1,h1) + Ibeta(p2,h2,p1,h1)] - ! - ! else: - ! - ! no_aaa_contraction(p2,h2.p1,h1) = 0.5 [Ialpha(p2,h2,p1,h1) + Ibeta(p2,h2,p1,h1)] - ! - ! - ! I(p2,h2,p1,h1) = J(p2,h2,p1,h1) - J(p1,h2,p2,h1) - ! J(p2,h2,p1,h1) = \sum_i [ < i p2 p1 | i h2 h1 > - ! + < p2 p1 i | i h2 h1 > - ! + < p1 i p2 | i h2 h1 > ] - ! - ! - END_DOC + normal_two_body_bi_orth = tmp - use bitmasks ! you need to include the bitmasks_module.f90 features + ! --- + ! aab contraction - implicit none - integer :: i, ii, h1, p1, h2, p2, ipoint - integer :: Ne(2) - double precision :: wall0, wall1 - integer, allocatable :: occ(:,:) - integer(bit_kind), allocatable :: key_i_core(:,:) - double precision, allocatable :: tmp_2d(:,:), tmp_3d(:,:,:) - double precision, allocatable :: tmp1(:,:,:), tmp2(:,:), tmp3(:,:,:) - double precision, allocatable :: tmpval_1(:), tmpval_2(:), tmpvec_1(:,:), tmpvec_2(:,:), tmpvec_3(:,:) + print*,' Providing aab_contraction ...' + call wall_time(wall0) - print*,' Providing no_aaa_contraction ...' - call wall_time(wall0) - - PROVIDE N_int - - allocate(occ(N_int*bit_kind_size,2)) - allocate(key_i_core(N_int,2)) - - if(core_tc_op) then - do i = 1, N_int - key_i_core(i,1) = xor(ref_bitmask(i,1), core_bitmask(i,1)) - key_i_core(i,2) = xor(ref_bitmask(i,2), core_bitmask(i,2)) - enddo - call bitstring_to_list_ab(key_i_core, occ, Ne, N_int) - else - call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int) - endif - - if(Ne(2) .lt. 3) then - - no_aaa_contraction = 0.d0 - - else + tmp = 0.d0 allocate(tmp_2d(mo_num,mo_num)) allocate(tmp_3d(mo_num,mo_num,mo_num)) allocate(tmp1(n_points_final_grid,3,mo_num)) allocate(tmp2(n_points_final_grid,mo_num)) - allocate(tmp3(n_points_final_grid,3,mo_num)) allocate(tmpval_1(n_points_final_grid)) - allocate(tmpval_2(n_points_final_grid)) allocate(tmpvec_1(n_points_final_grid,3)) - allocate(tmpvec_2(n_points_final_grid,3)) - allocate(tmpvec_3(n_points_final_grid,3)) ! purely closed shell part do ii = 1, Ne(2) @@ -677,21 +349,13 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP SHARED (n_points_final_grid, i, h1, & !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & - !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2 ) + !$OMP tmpval_1, tmpvec_1) !$OMP DO do ipoint = 1, n_points_final_grid - - tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i) - - tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) - + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i) tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,i) * mos_r_in_r_array_transp(ipoint,h1) tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,i) * mos_r_in_r_array_transp(ipoint,h1) tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,i) * mos_r_in_r_array_transp(ipoint,h1) - - tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint,i) - tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint,i) - tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint,i) enddo !$OMP END DO !$OMP END PARALLEL @@ -722,39 +386,7 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ do p1 = 1, mo_num do h2 = 1, mo_num do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) - enddo - enddo - enddo - !$OMP END PARALLEL DO - - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (p2, ipoint) & - !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & - !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & - !$OMP tmpval_2, tmpvec_2, tmp1) - !$OMP DO - do p2 = 1, mo_num - do ipoint = 1, n_points_final_grid - tmp1(ipoint,1,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,1) - tmp1(ipoint,2,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,2) - tmp1(ipoint,3,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,3) - enddo - enddo - !$OMP END DO - !$OMP END PARALLEL - - call dgemm( 'T', 'N', mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 & - , tmp1(1,1,1), 3*n_points_final_grid & - , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & - , 0.d0, tmp_3d(1,1,1), mo_num) - - !$OMP PARALLEL DO PRIVATE(p1,h2,p2) - do p1 = 1, mo_num - do h2 = 1, mo_num - do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,p1,h2) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) enddo enddo enddo @@ -763,58 +395,32 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ ! to avoid tmp(N^4) do p1 = 1, mo_num - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (ipoint) & - !$OMP SHARED (n_points_final_grid, i, h1, p1, & - !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & - !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & - !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmpvec_3) + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1) !$OMP DO do ipoint = 1, n_points_final_grid - - tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * & - ( int2_grad1_u12_bimo_t(ipoint,1,i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & - + int2_grad1_u12_bimo_t(ipoint,2,i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & - + int2_grad1_u12_bimo_t(ipoint,3,i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) ) - - tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,p1) * mos_r_in_r_array_transp(ipoint,i) - - tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_r_in_r_array_transp(ipoint,h1) - tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_r_in_r_array_transp(ipoint,h1) - - tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_l_in_r_array_transp(ipoint,p1) - tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_l_in_r_array_transp(ipoint,p1) - tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_l_in_r_array_transp(ipoint,p1) - - tmpvec_3(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_l_in_r_array_transp(ipoint,i) - tmpvec_3(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_l_in_r_array_transp(ipoint,i) - tmpvec_3(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_l_in_r_array_transp(ipoint,i) + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3,i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) ) enddo !$OMP END DO !$OMP END PARALLEL - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (h2, ipoint) & - !$OMP SHARED (mo_num, n_points_final_grid, i, & - !$OMP mos_r_in_r_array_transp, & - !$OMP int2_grad1_u12_bimo_t, & - !$OMP tmp1, tmp2, tmpval_1, tmpval_2, tmpvec_1) + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, & + !$OMP mos_r_in_r_array_transp, & + !$OMP tmpval_1, tmp2) !$OMP DO do h2 = 1, mo_num do ipoint = 1, n_points_final_grid - - tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) & - + int2_grad1_u12_bimo_t(ipoint,1,i,h2) * tmpvec_1(ipoint,1) & - + int2_grad1_u12_bimo_t(ipoint,2,i,h2) * tmpvec_1(ipoint,2) & - + int2_grad1_u12_bimo_t(ipoint,3,i,h2) * tmpvec_1(ipoint,3) - - tmp1(ipoint,1,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h2) - tmp1(ipoint,2,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h2) - tmp1(ipoint,3,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h2) - + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) enddo enddo !$OMP END DO @@ -828,47 +434,7 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP PARALLEL DO PRIVATE(h2,p2) do h2 = 1, mo_num do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) - enddo - enddo - !$OMP END PARALLEL DO - - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (p2, ipoint) & - !$OMP SHARED (mo_num, n_points_final_grid, i, h1, & - !$OMP int2_grad1_u12_bimo_t, & - !$OMP tmpvec_2, tmpvec_3, tmp2, tmp3) - !$OMP DO - do p2 = 1, mo_num - do ipoint = 1, n_points_final_grid - - tmp2(ipoint,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,i) * tmpvec_2(ipoint,1) + int2_grad1_u12_bimo_t(ipoint,1,p2,h1) * tmpvec_3(ipoint,1) & - + int2_grad1_u12_bimo_t(ipoint,2,p2,i) * tmpvec_2(ipoint,2) + int2_grad1_u12_bimo_t(ipoint,2,p2,h1) * tmpvec_3(ipoint,2) & - + int2_grad1_u12_bimo_t(ipoint,3,p2,i) * tmpvec_2(ipoint,3) + int2_grad1_u12_bimo_t(ipoint,3,p2,h1) * tmpvec_3(ipoint,3) - - tmp3(ipoint,1,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,h1) - tmp3(ipoint,2,p2) = int2_grad1_u12_bimo_t(ipoint,2,p2,h1) - tmp3(ipoint,3,p2) = int2_grad1_u12_bimo_t(ipoint,3,p2,h1) - enddo - enddo - !$OMP END DO - !$OMP END PARALLEL - - call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & - , tmp2(1,1), n_points_final_grid & - , mos_r_in_r_array_transp(1,1), n_points_final_grid & - , 0.d0, tmp_2d(1,1), mo_num) - - call dgemm( 'T', 'N', mo_num, mo_num, 3*n_points_final_grid, 1.d0 & - , tmp3(1,1,1), 3*n_points_final_grid & - , tmp1(1,1,1), 3*n_points_final_grid & - , 1.d0, tmp_2d(1,1), mo_num) - - !$OMP PARALLEL DO PRIVATE(h2,p2) - do h2 = 1, mo_num - do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_2d(p2,h2) enddo enddo !$OMP END PARALLEL DO @@ -877,14 +443,85 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ enddo ! h1 enddo ! i + deallocate(tmp_2d) + deallocate(tmp_3d) + deallocate(tmp1) + deallocate(tmp2) + deallocate(tmpval_1) + deallocate(tmpvec_1) + tmp = -0.5d0 * tmp - ! purely open-shell part - if(Ne(2) < Ne(1)) then + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h1, h2, p1, p2) & + !$OMP SHARED (tmp, mo_num) - do ii = Ne(2) + 1, Ne(1) - i = occ(ii,1) + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 1, mo_num + do p2 = p1, mo_num + tmp(p2,h2,p1,h1) -= tmp(p1,h2,p2,h1) + enddo + enddo + enddo + enddo + !$OMP END DO + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + tmp(p2,h2,p1,h1) = -tmp(p1,h2,p2,h1) + enddo + enddo + enddo + enddo + !$OMP END DO + + !$OMP DO + do h1 = 1, mo_num-1 + do h2 = h1+1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + tmp(p2,h2,p1,h1) *= -1.d0 + enddo + enddo + enddo + enddo + !$OMP END PARALLEL + + call wall_time(wall1) + print*,' Wall time for aab_contraction', wall1-wall0 + + normal_two_body_bi_orth += tmp + + ! --- + ! aaa contraction + + if(Ne(2) .ge. 3) then + + print*,' Providing aaa_contraction ...' + call wall_time(wall0) + + tmp = 0.d0 + + allocate(tmp_2d(mo_num,mo_num)) + allocate(tmp_3d(mo_num,mo_num,mo_num)) + allocate(tmp1(n_points_final_grid,3,mo_num)) + allocate(tmp2(n_points_final_grid,mo_num)) + allocate(tmp3(n_points_final_grid,3,mo_num)) + allocate(tmpval_1(n_points_final_grid)) + allocate(tmpval_2(n_points_final_grid)) + allocate(tmpvec_1(n_points_final_grid,3)) + allocate(tmpvec_2(n_points_final_grid,3)) + allocate(tmpvec_3(n_points_final_grid,3)) + + ! purely closed shell part + do ii = 1, Ne(2) + i = occ(ii,2) ! to avoid tmp(N^4) do h1 = 1, mo_num @@ -932,16 +569,16 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP END DO !$OMP END PARALLEL - call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & - , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & - , tmp1(1,1,1), 3*n_points_final_grid & + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) !$OMP PARALLEL DO PRIVATE(p1,h2,p2) do p1 = 1, mo_num do h2 = 1, mo_num do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) enddo enddo enddo @@ -964,16 +601,16 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP END DO !$OMP END PARALLEL - call dgemm( 'T', 'N', mo_num, mo_num*mo_num, 3*n_points_final_grid, 0.5d0 & - , tmp1(1,1,1), 3*n_points_final_grid & - , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + call dgemm( 'T', 'N', mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 & + , tmp1(1,1,1), 3*n_points_final_grid & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & , 0.d0, tmp_3d(1,1,1), mo_num) !$OMP PARALLEL DO PRIVATE(p1,h2,p2) do p1 = 1, mo_num do h2 = 1, mo_num do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,p1,h2) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_3d(p2,p1,h2) enddo enddo enddo @@ -1039,15 +676,15 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP END DO !$OMP END PARALLEL - call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & - , mos_l_in_r_array_transp(1,1), n_points_final_grid & - , tmp2(1,1), n_points_final_grid & + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & , 0.d0, tmp_2d(1,1), mo_num) !$OMP PARALLEL DO PRIVATE(h2,p2) do h2 = 1, mo_num do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_2d(p2,h2) enddo enddo !$OMP END PARALLEL DO @@ -1074,82 +711,321 @@ BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_ !$OMP END DO !$OMP END PARALLEL - call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & - , tmp2(1,1), n_points_final_grid & - , mos_r_in_r_array_transp(1,1), n_points_final_grid & + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & + , tmp2(1,1), n_points_final_grid & + , mos_r_in_r_array_transp(1,1), n_points_final_grid & , 0.d0, tmp_2d(1,1), mo_num) - call dgemm( 'T', 'N', mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & - , tmp3(1,1,1), 3*n_points_final_grid & - , tmp1(1,1,1), 3*n_points_final_grid & + call dgemm( 'T', 'N', mo_num, mo_num, 3*n_points_final_grid, 1.d0 & + , tmp3(1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & , 1.d0, tmp_2d(1,1), mo_num) !$OMP PARALLEL DO PRIVATE(h2,p2) do h2 = 1, mo_num do p2 = 1, mo_num - no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_2d(p2,h2) enddo enddo !$OMP END PARALLEL DO enddo ! p1 enddo ! h1 - enddo !i - endif + enddo ! i - deallocate(tmp_2d, tmp_3d) - deallocate(tmp1, tmp2, tmp3) - deallocate(tmpval_1, tmpval_2) - deallocate(tmpvec_1, tmpvec_2, tmpvec_3) + ! purely open-shell part + if(Ne(2) < Ne(1)) then - no_aaa_contraction = -0.5d0 * no_aaa_contraction + do ii = Ne(2) + 1, Ne(1) + i = occ(ii,1) - !$OMP PARALLEL & - !$OMP DEFAULT (NONE) & - !$OMP PRIVATE (h1, h2, p1, p2) & - !$OMP SHARED (no_aaa_contraction, mo_num) + ! to avoid tmp(N^4) + do h1 = 1, mo_num - !$OMP DO - do h1 = 1, mo_num - do h2 = 1, mo_num - do p1 = 1, mo_num - do p2 = p1, mo_num - no_aaa_contraction(p2,h2,p1,h1) -= no_aaa_contraction(p1,h2,p2,h1) + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2 ) + !$OMP DO + do ipoint = 1, n_points_final_grid + + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i) + + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint,i) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint,i) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint,i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p1, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_1, tmpvec_1, tmp1) + !$OMP DO + do p1 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,1) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) + tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,2) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) + tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,3) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_2, tmpvec_2, tmp1) + !$OMP DO + do p2 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,1) + tmp1(ipoint,2,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,2) + tmp1(ipoint,3,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,3) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num*mo_num, 3*n_points_final_grid, 0.5d0 & + , tmp1(1,1,1), 3*n_points_final_grid & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_3d(p2,p1,h2) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + ! to avoid tmp(N^4) + do p1 = 1, mo_num + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmpvec_3) + !$OMP DO + do ipoint = 1, n_points_final_grid + + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * & + ( int2_grad1_u12_bimo_t(ipoint,1,i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3,i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) ) + + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,p1) * mos_r_in_r_array_transp(ipoint,i) + + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + + tmpvec_3(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_l_in_r_array_transp(ipoint,i) + tmpvec_3(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_l_in_r_array_transp(ipoint,i) + tmpvec_3(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_l_in_r_array_transp(ipoint,i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, i, & + !$OMP mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, & + !$OMP tmp1, tmp2, tmpval_1, tmpval_2, tmpvec_1) + !$OMP DO + do h2 = 1, mo_num + do ipoint = 1, n_points_final_grid + + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) & + + int2_grad1_u12_bimo_t(ipoint,1,i,h2) * tmpvec_1(ipoint,1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,h2) * tmpvec_1(ipoint,2) & + + int2_grad1_u12_bimo_t(ipoint,3,i,h2) * tmpvec_1(ipoint,3) + + tmp1(ipoint,1,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h2) + tmp1(ipoint,2,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h2) + tmp1(ipoint,3,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h2) + + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, i, h1, & + !$OMP int2_grad1_u12_bimo_t, & + !$OMP tmpvec_2, tmpvec_3, tmp2, tmp3) + !$OMP DO + do p2 = 1, mo_num + do ipoint = 1, n_points_final_grid + + tmp2(ipoint,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,i) * tmpvec_2(ipoint,1) + int2_grad1_u12_bimo_t(ipoint,1,p2,h1) * tmpvec_3(ipoint,1) & + + int2_grad1_u12_bimo_t(ipoint,2,p2,i) * tmpvec_2(ipoint,2) + int2_grad1_u12_bimo_t(ipoint,2,p2,h1) * tmpvec_3(ipoint,2) & + + int2_grad1_u12_bimo_t(ipoint,3,p2,i) * tmpvec_2(ipoint,3) + int2_grad1_u12_bimo_t(ipoint,3,p2,h1) * tmpvec_3(ipoint,3) + + tmp3(ipoint,1,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,h1) + tmp3(ipoint,2,p2) = int2_grad1_u12_bimo_t(ipoint,2,p2,h1) + tmp3(ipoint,3,p2) = int2_grad1_u12_bimo_t(ipoint,3,p2,h1) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & + , tmp2(1,1), n_points_final_grid & + , mos_r_in_r_array_transp(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + call dgemm( 'T', 'N', mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & + , tmp3(1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 1.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + tmp(p2,h2,p1,h1) = tmp(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + enddo ! p1 + enddo ! h1 + enddo !i + endif + + deallocate(tmp_2d) + deallocate(tmp_3d) + deallocate(tmp1) + deallocate(tmp2) + deallocate(tmp3) + deallocate(tmpval_1) + deallocate(tmpval_2) + deallocate(tmpvec_1) + deallocate(tmpvec_2) + deallocate(tmpvec_3) + + tmp = -0.5d0 * tmp + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h1, h2, p1, p2) & + !$OMP SHARED (tmp, mo_num) + + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 1, mo_num + do p2 = p1, mo_num + tmp(p2,h2,p1,h1) -= tmp(p1,h2,p2,h1) + enddo enddo enddo enddo - enddo - !$OMP END DO + !$OMP END DO - !$OMP DO - do h1 = 1, mo_num - do h2 = 1, mo_num - do p1 = 2, mo_num - do p2 = 1, p1-1 - no_aaa_contraction(p2,h2,p1,h1) = -no_aaa_contraction(p1,h2,p2,h1) + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + tmp(p2,h2,p1,h1) = -tmp(p1,h2,p2,h1) + enddo enddo enddo enddo - enddo - !$OMP END DO + !$OMP END DO - !$OMP DO - do h1 = 1, mo_num-1 - do h2 = h1+1, mo_num - do p1 = 2, mo_num - do p2 = 1, p1-1 - no_aaa_contraction(p2,h2,p1,h1) *= -1.d0 + !$OMP DO + do h1 = 1, mo_num-1 + do h2 = h1+1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + tmp(p2,h2,p1,h1) *= -1.d0 + enddo enddo enddo enddo - enddo - !$OMP END PARALLEL + !$OMP END PARALLEL + call wall_time(wallf) + print*,' Wall time for aaa_contraction', wall1-wall0 + + normal_two_body_bi_orth += tmp + endif ! Ne(2) .ge. 3 + + deallocate(tmp) + + endif ! read_tc_norm_ord + + if(write_tc_norm_ord.and.mpi_master) then + open(unit=11, form="unformatted", file=trim(ezfio_filename)//'/work/normal_two_body_bi_orth', action="write") + call ezfio_set_work_empty(.False.) + write(11) normal_two_body_bi_orth + close(11) + call ezfio_set_tc_keywords_io_tc_integ('Read') endif - call wall_time(wall1) - print*,' Wall time for no_aaa_contraction', wall1-wall0 + call wall_time(wallf) + print*,' Wall time for normal_two_body_bi_orth ', wallf-walli -END_PROVIDER +END_PROVIDER ! --- + diff --git a/src/tc_bi_ortho/normal_ordered_contractions.irp.f b/src/tc_bi_ortho/normal_ordered_contractions.irp.f new file mode 100644 index 00000000..855cfd17 --- /dev/null +++ b/src/tc_bi_ortho/normal_ordered_contractions.irp.f @@ -0,0 +1,1062 @@ + +! --- + +BEGIN_PROVIDER [ double precision, no_aba_contraction, (mo_num,mo_num,mo_num,mo_num)] + + use bitmasks ! you need to include the bitmasks_module.f90 features + + implicit none + integer :: i, ii, h1, p1, h2, p2, ipoint + integer :: Ne(2) + double precision :: wall0, wall1 + integer, allocatable :: occ(:,:) + integer(bit_kind), allocatable :: key_i_core(:,:) + double precision, allocatable :: tmp_3d(:,:,:) + double precision, allocatable :: tmp1(:,:,:), tmp2(:,:) + double precision, allocatable :: tmpval_1(:), tmpval_2(:), tmpvec_1(:,:), tmpvec_2(:,:) + double precision, allocatable :: tmp_2d(:,:) + + print*,' Providing no_aba_contraction ...' + call wall_time(wall0) + + PROVIDE N_int + + allocate(occ(N_int*bit_kind_size,2)) + allocate(key_i_core(N_int,2)) + + if(core_tc_op) then + do i = 1, N_int + key_i_core(i,1) = xor(ref_bitmask(i,1), core_bitmask(i,1)) + key_i_core(i,2) = xor(ref_bitmask(i,2), core_bitmask(i,2)) + enddo + call bitstring_to_list_ab(key_i_core, occ, Ne, N_int) + else + call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int) + endif + + allocate(tmp_3d(mo_num,mo_num,mo_num)) + allocate(tmp1(n_points_final_grid,3,mo_num)) + allocate(tmp2(n_points_final_grid,mo_num)) + allocate(tmpval_1(n_points_final_grid)) + allocate(tmpval_2(n_points_final_grid)) + allocate(tmpvec_1(n_points_final_grid,3)) + allocate(tmpvec_2(n_points_final_grid,3)) + allocate(tmp_2d(mo_num,mo_num)) + + + ! purely closed shell part + do ii = 1, Ne(2) + i = occ(ii,2) + + ! to avoid tmp(N^4) + do h1 = 1, mo_num + + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2) + !$OMP DO + do ipoint = 1, n_points_final_grid + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint, i) + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint, i) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint, i) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint, i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p1, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmp1) + !$OMP DO + do p1 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,1) - tmpvec_2(ipoint,1)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) + tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,2) - tmpvec_2(ipoint,2)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) + tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,3) - tmpvec_2(ipoint,3)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + ! to avoid tmp(N^4) + do p1 = 1, mo_num + + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1) + !$OMP DO + do ipoint = 1, n_points_final_grid + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1, i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2, i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3, i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) & + - int2_grad1_u12_bimo_t(ipoint,1,p1,i) * int2_grad1_u12_bimo_t(ipoint,1, i,h1) & + - int2_grad1_u12_bimo_t(ipoint,2,p1,i) * int2_grad1_u12_bimo_t(ipoint,2, i,h1) & + - int2_grad1_u12_bimo_t(ipoint,3,p1,i) * int2_grad1_u12_bimo_t(ipoint,3, i,h1) ) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, & + !$OMP mos_r_in_r_array_transp, & + !$OMP tmpval_1, tmp2) + !$OMP DO + do h2 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + enddo ! p1 + enddo ! h1 + enddo ! i + + + ! purely open-shell part + if(Ne(2) < Ne(1)) then + do ii = Ne(2) + 1, Ne(1) + i = occ(ii,1) + + do h1 = 1, mo_num + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2) + !$OMP DO + do ipoint = 1, n_points_final_grid + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint, i) + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i, i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint, i) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint, i) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint, i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p1, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmp1) + !$OMP DO + do p1 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,1) - tmpvec_2(ipoint,1)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) + tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,2) - tmpvec_2(ipoint,2)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) + tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * (tmpvec_1(ipoint,3) - tmpvec_2(ipoint,3)) & + + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) - tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + do p1 = 1, mo_num + + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1) + !$OMP DO + do ipoint = 1, n_points_final_grid + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1, i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2, i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3, i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) & + - int2_grad1_u12_bimo_t(ipoint,1,p1,i) * int2_grad1_u12_bimo_t(ipoint,1, i,h1) & + - int2_grad1_u12_bimo_t(ipoint,2,p1,i) * int2_grad1_u12_bimo_t(ipoint,2, i,h1) & + - int2_grad1_u12_bimo_t(ipoint,3,p1,i) * int2_grad1_u12_bimo_t(ipoint,3, i,h1) ) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, & + !$OMP mos_r_in_r_array_transp, & + !$OMP tmpval_1, tmp2) + !$OMP DO + do h2 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aba_contraction(p2,h2,p1,h1) = no_aba_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + enddo ! p1 + enddo ! h1 + enddo !i + endif + + deallocate(tmp_2d, tmp_3d) + deallocate(tmp1, tmp2) + deallocate(tmpval_1, tmpval_2) + deallocate(tmpvec_1, tmpvec_2) + + no_aba_contraction = -0.5d0 * no_aba_contraction + call sum_A_At(no_aba_contraction(1,1,1,1), mo_num*mo_num) + + call wall_time(wall1) + print*,' Wall time for no_aba_contraction', wall1-wall0 + +END_PROVIDER + +! --- + +BEGIN_PROVIDER [ double precision, no_aab_contraction, (mo_num,mo_num,mo_num,mo_num)] + + use bitmasks ! you need to include the bitmasks_module.f90 features + + implicit none + integer :: i, ii, h1, p1, h2, p2, ipoint + integer :: Ne(2) + double precision :: wall0, wall1 + integer, allocatable :: occ(:,:) + integer(bit_kind), allocatable :: key_i_core(:,:) + double precision, allocatable :: tmp_3d(:,:,:) + double precision, allocatable :: tmp1(:,:,:), tmp2(:,:) + double precision, allocatable :: tmpval_1(:), tmpvec_1(:,:) + double precision, allocatable :: tmp_2d(:,:) + + print*,' Providing no_aab_contraction ...' + call wall_time(wall0) + + PROVIDE N_int + + allocate(occ(N_int*bit_kind_size,2)) + allocate(key_i_core(N_int,2)) + + if(core_tc_op) then + do i = 1, N_int + key_i_core(i,1) = xor(ref_bitmask(i,1), core_bitmask(i,1)) + key_i_core(i,2) = xor(ref_bitmask(i,2), core_bitmask(i,2)) + enddo + call bitstring_to_list_ab(key_i_core, occ, Ne, N_int) + else + call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int) + endif + + allocate(tmp_2d(mo_num,mo_num)) + allocate(tmp_3d(mo_num,mo_num,mo_num)) + allocate(tmp1(n_points_final_grid,3,mo_num)) + allocate(tmp2(n_points_final_grid,mo_num)) + allocate(tmpval_1(n_points_final_grid)) + allocate(tmpvec_1(n_points_final_grid,3)) + + + ! purely closed shell part + do ii = 1, Ne(2) + i = occ(ii,2) + + ! to avoid tmp(N^4) + do h1 = 1, mo_num + + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpvec_1) + !$OMP DO + do ipoint = 1, n_points_final_grid + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i) + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,i) * mos_r_in_r_array_transp(ipoint,h1) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p1, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_1, tmpvec_1, tmp1) + !$OMP DO + do p1 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,1) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) + tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,2) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) + tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,3) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aab_contraction(p2,h2,p1,h1) = no_aab_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + ! to avoid tmp(N^4) + do p1 = 1, mo_num + + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1) + !$OMP DO + do ipoint = 1, n_points_final_grid + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3,i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) ) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, & + !$OMP mos_r_in_r_array_transp, & + !$OMP tmpval_1, tmp2) + !$OMP DO + do h2 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aab_contraction(p2,h2,p1,h1) = no_aab_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + enddo ! p1 + enddo ! h1 + enddo ! i + + deallocate(tmp_3d) + deallocate(tmp1, tmp2) + deallocate(tmpval_1) + deallocate(tmpvec_1) + + no_aab_contraction = -0.5d0 * no_aab_contraction + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h1, h2, p1, p2) & + !$OMP SHARED (no_aab_contraction, mo_num) + + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 1, mo_num + do p2 = p1, mo_num + no_aab_contraction(p2,h2,p1,h1) -= no_aab_contraction(p1,h2,p2,h1) + enddo + enddo + enddo + enddo + !$OMP END DO + + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + no_aab_contraction(p2,h2,p1,h1) = -no_aab_contraction(p1,h2,p2,h1) + enddo + enddo + enddo + enddo + !$OMP END DO + + !$OMP DO + do h1 = 1, mo_num-1 + do h2 = h1+1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + no_aab_contraction(p2,h2,p1,h1) *= -1.d0 + enddo + enddo + enddo + enddo + !$OMP END PARALLEL + + call wall_time(wall1) + print*,' Wall time for no_aab_contraction', wall1-wall0 + +END_PROVIDER + +! --- + +BEGIN_PROVIDER [ double precision, no_aaa_contraction, (mo_num,mo_num,mo_num,mo_num)] + + BEGIN_DOC + ! + ! if: + ! h1 < h2 + ! p1 > p2 + ! + ! no_aaa_contraction(p2,h2.p1,h1) = 0.5 [Ialpha(p2,h1,p1,h2) + Ibeta(p2,h1,p1,h2)] + ! = -0.5 [Ialpha(p2,h2,p1,h1) + Ibeta(p2,h2,p1,h1)] + ! + ! else: + ! + ! no_aaa_contraction(p2,h2.p1,h1) = 0.5 [Ialpha(p2,h2,p1,h1) + Ibeta(p2,h2,p1,h1)] + ! + ! + ! I(p2,h2,p1,h1) = J(p2,h2,p1,h1) - J(p1,h2,p2,h1) + ! J(p2,h2,p1,h1) = \sum_i [ < i p2 p1 | i h2 h1 > + ! + < p2 p1 i | i h2 h1 > + ! + < p1 i p2 | i h2 h1 > ] + ! + ! + END_DOC + + use bitmasks ! you need to include the bitmasks_module.f90 features + + implicit none + integer :: i, ii, h1, p1, h2, p2, ipoint + integer :: Ne(2) + double precision :: wall0, wall1 + integer, allocatable :: occ(:,:) + integer(bit_kind), allocatable :: key_i_core(:,:) + double precision, allocatable :: tmp_2d(:,:), tmp_3d(:,:,:) + double precision, allocatable :: tmp1(:,:,:), tmp2(:,:), tmp3(:,:,:) + double precision, allocatable :: tmpval_1(:), tmpval_2(:), tmpvec_1(:,:), tmpvec_2(:,:), tmpvec_3(:,:) + + print*,' Providing no_aaa_contraction ...' + call wall_time(wall0) + + PROVIDE N_int + + allocate(occ(N_int*bit_kind_size,2)) + allocate(key_i_core(N_int,2)) + + if(core_tc_op) then + do i = 1, N_int + key_i_core(i,1) = xor(ref_bitmask(i,1), core_bitmask(i,1)) + key_i_core(i,2) = xor(ref_bitmask(i,2), core_bitmask(i,2)) + enddo + call bitstring_to_list_ab(key_i_core, occ, Ne, N_int) + else + call bitstring_to_list_ab(ref_bitmask, occ, Ne, N_int) + endif + + if(Ne(2) .lt. 3) then + + no_aaa_contraction = 0.d0 + + else + + allocate(tmp_2d(mo_num,mo_num)) + allocate(tmp_3d(mo_num,mo_num,mo_num)) + allocate(tmp1(n_points_final_grid,3,mo_num)) + allocate(tmp2(n_points_final_grid,mo_num)) + allocate(tmp3(n_points_final_grid,3,mo_num)) + allocate(tmpval_1(n_points_final_grid)) + allocate(tmpval_2(n_points_final_grid)) + allocate(tmpvec_1(n_points_final_grid,3)) + allocate(tmpvec_2(n_points_final_grid,3)) + allocate(tmpvec_3(n_points_final_grid,3)) + + ! purely closed shell part + do ii = 1, Ne(2) + i = occ(ii,2) + + ! to avoid tmp(N^4) + do h1 = 1, mo_num + + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2 ) + !$OMP DO + do ipoint = 1, n_points_final_grid + + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i) + + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint,i) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint,i) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint,i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p1, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_1, tmpvec_1, tmp1) + !$OMP DO + do p1 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,1) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) + tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,2) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) + tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,3) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_2, tmpvec_2, tmp1) + !$OMP DO + do p2 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,1) + tmp1(ipoint,2,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,2) + tmp1(ipoint,3,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,3) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 & + , tmp1(1,1,1), 3*n_points_final_grid & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,p1,h2) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + ! to avoid tmp(N^4) + do p1 = 1, mo_num + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmpvec_3) + !$OMP DO + do ipoint = 1, n_points_final_grid + + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * & + ( int2_grad1_u12_bimo_t(ipoint,1,i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3,i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) ) + + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,p1) * mos_r_in_r_array_transp(ipoint,i) + + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + + tmpvec_3(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_l_in_r_array_transp(ipoint,i) + tmpvec_3(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_l_in_r_array_transp(ipoint,i) + tmpvec_3(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_l_in_r_array_transp(ipoint,i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, i, & + !$OMP mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, & + !$OMP tmp1, tmp2, tmpval_1, tmpval_2, tmpvec_1) + !$OMP DO + do h2 = 1, mo_num + do ipoint = 1, n_points_final_grid + + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) & + + int2_grad1_u12_bimo_t(ipoint,1,i,h2) * tmpvec_1(ipoint,1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,h2) * tmpvec_1(ipoint,2) & + + int2_grad1_u12_bimo_t(ipoint,3,i,h2) * tmpvec_1(ipoint,3) + + tmp1(ipoint,1,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h2) + tmp1(ipoint,2,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h2) + tmp1(ipoint,3,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h2) + + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, i, h1, & + !$OMP int2_grad1_u12_bimo_t, & + !$OMP tmpvec_2, tmpvec_3, tmp2, tmp3) + !$OMP DO + do p2 = 1, mo_num + do ipoint = 1, n_points_final_grid + + tmp2(ipoint,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,i) * tmpvec_2(ipoint,1) + int2_grad1_u12_bimo_t(ipoint,1,p2,h1) * tmpvec_3(ipoint,1) & + + int2_grad1_u12_bimo_t(ipoint,2,p2,i) * tmpvec_2(ipoint,2) + int2_grad1_u12_bimo_t(ipoint,2,p2,h1) * tmpvec_3(ipoint,2) & + + int2_grad1_u12_bimo_t(ipoint,3,p2,i) * tmpvec_2(ipoint,3) + int2_grad1_u12_bimo_t(ipoint,3,p2,h1) * tmpvec_3(ipoint,3) + + tmp3(ipoint,1,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,h1) + tmp3(ipoint,2,p2) = int2_grad1_u12_bimo_t(ipoint,2,p2,h1) + tmp3(ipoint,3,p2) = int2_grad1_u12_bimo_t(ipoint,3,p2,h1) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 1.d0 & + , tmp2(1,1), n_points_final_grid & + , mos_r_in_r_array_transp(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + call dgemm( 'T', 'N', mo_num, mo_num, 3*n_points_final_grid, 1.d0 & + , tmp3(1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 1.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + enddo ! p1 + enddo ! h1 + enddo ! i + + + + ! purely open-shell part + if(Ne(2) < Ne(1)) then + + do ii = Ne(2) + 1, Ne(1) + i = occ(ii,1) + + + ! to avoid tmp(N^4) + do h1 = 1, mo_num + + ! to minimize the number of operations + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2 ) + !$OMP DO + do ipoint = 1, n_points_final_grid + + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i) + + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_r_in_r_array_transp(ipoint,i) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_r_in_r_array_transp(ipoint,i) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_r_in_r_array_transp(ipoint,i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p1, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_1, tmpvec_1, tmp1) + !$OMP DO + do p1 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,1) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) + tmp1(ipoint,2,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,2) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) + tmp1(ipoint,3,p1) = mos_l_in_r_array_transp(ipoint,p1) * tmpvec_1(ipoint,3) + tmpval_1(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num*mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,h2,p1) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, h1, i, & + !$OMP mos_l_in_r_array_transp, int2_grad1_u12_bimo_t, & + !$OMP tmpval_2, tmpvec_2, tmp1) + !$OMP DO + do p2 = 1, mo_num + do ipoint = 1, n_points_final_grid + tmp1(ipoint,1,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,1) + tmp1(ipoint,2,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,2) + tmp1(ipoint,3,p2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p2,i) + mos_l_in_r_array_transp(ipoint,p2) * tmpvec_2(ipoint,3) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num*mo_num, 3*n_points_final_grid, 0.5d0 & + , tmp1(1,1,1), 3*n_points_final_grid & + , int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid & + , 0.d0, tmp_3d(1,1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(p1,h2,p2) + do p1 = 1, mo_num + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_3d(p2,p1,h2) + enddo + enddo + enddo + !$OMP END PARALLEL DO + + ! to avoid tmp(N^4) + do p1 = 1, mo_num + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (ipoint) & + !$OMP SHARED (n_points_final_grid, i, h1, p1, & + !$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, & + !$OMP tmpval_1, tmpval_2, tmpvec_1, tmpvec_2, tmpvec_3) + !$OMP DO + do ipoint = 1, n_points_final_grid + + tmpval_1(ipoint) = final_weight_at_r_vector(ipoint) * & + ( int2_grad1_u12_bimo_t(ipoint,1,i,i) * int2_grad1_u12_bimo_t(ipoint,1,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,i) * int2_grad1_u12_bimo_t(ipoint,2,p1,h1) & + + int2_grad1_u12_bimo_t(ipoint,3,i,i) * int2_grad1_u12_bimo_t(ipoint,3,p1,h1) ) + + tmpval_2(ipoint) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,p1) * mos_r_in_r_array_transp(ipoint,i) + + tmpvec_1(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + tmpvec_1(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_r_in_r_array_transp(ipoint,h1) + + tmpvec_2(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + tmpvec_2(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + tmpvec_2(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h1) * mos_l_in_r_array_transp(ipoint,p1) + + tmpvec_3(ipoint,1) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,p1,i) * mos_l_in_r_array_transp(ipoint,i) + tmpvec_3(ipoint,2) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,p1,i) * mos_l_in_r_array_transp(ipoint,i) + tmpvec_3(ipoint,3) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,p1,i) * mos_l_in_r_array_transp(ipoint,i) + enddo + !$OMP END DO + !$OMP END PARALLEL + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, i, & + !$OMP mos_r_in_r_array_transp, & + !$OMP int2_grad1_u12_bimo_t, & + !$OMP tmp1, tmp2, tmpval_1, tmpval_2, tmpvec_1) + !$OMP DO + do h2 = 1, mo_num + do ipoint = 1, n_points_final_grid + + tmp2(ipoint,h2) = mos_r_in_r_array_transp(ipoint,h2) * tmpval_1(ipoint) & + + int2_grad1_u12_bimo_t(ipoint,1,i,h2) * tmpvec_1(ipoint,1) & + + int2_grad1_u12_bimo_t(ipoint,2,i,h2) * tmpvec_1(ipoint,2) & + + int2_grad1_u12_bimo_t(ipoint,3,i,h2) * tmpvec_1(ipoint,3) + + tmp1(ipoint,1,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,h2) + tmp1(ipoint,2,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,h2) + tmp1(ipoint,3,h2) = tmpval_2(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,h2) + + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & + , mos_l_in_r_array_transp(1,1), n_points_final_grid & + , tmp2(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (p2, ipoint) & + !$OMP SHARED (mo_num, n_points_final_grid, i, h1, & + !$OMP int2_grad1_u12_bimo_t, & + !$OMP tmpvec_2, tmpvec_3, tmp2, tmp3) + !$OMP DO + do p2 = 1, mo_num + do ipoint = 1, n_points_final_grid + + tmp2(ipoint,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,i) * tmpvec_2(ipoint,1) + int2_grad1_u12_bimo_t(ipoint,1,p2,h1) * tmpvec_3(ipoint,1) & + + int2_grad1_u12_bimo_t(ipoint,2,p2,i) * tmpvec_2(ipoint,2) + int2_grad1_u12_bimo_t(ipoint,2,p2,h1) * tmpvec_3(ipoint,2) & + + int2_grad1_u12_bimo_t(ipoint,3,p2,i) * tmpvec_2(ipoint,3) + int2_grad1_u12_bimo_t(ipoint,3,p2,h1) * tmpvec_3(ipoint,3) + + tmp3(ipoint,1,p2) = int2_grad1_u12_bimo_t(ipoint,1,p2,h1) + tmp3(ipoint,2,p2) = int2_grad1_u12_bimo_t(ipoint,2,p2,h1) + tmp3(ipoint,3,p2) = int2_grad1_u12_bimo_t(ipoint,3,p2,h1) + enddo + enddo + !$OMP END DO + !$OMP END PARALLEL + + call dgemm( 'T', 'N', mo_num, mo_num, n_points_final_grid, 0.5d0 & + , tmp2(1,1), n_points_final_grid & + , mos_r_in_r_array_transp(1,1), n_points_final_grid & + , 0.d0, tmp_2d(1,1), mo_num) + + call dgemm( 'T', 'N', mo_num, mo_num, 3*n_points_final_grid, 0.5d0 & + , tmp3(1,1,1), 3*n_points_final_grid & + , tmp1(1,1,1), 3*n_points_final_grid & + , 1.d0, tmp_2d(1,1), mo_num) + + !$OMP PARALLEL DO PRIVATE(h2,p2) + do h2 = 1, mo_num + do p2 = 1, mo_num + no_aaa_contraction(p2,h2,p1,h1) = no_aaa_contraction(p2,h2,p1,h1) + tmp_2d(p2,h2) + enddo + enddo + !$OMP END PARALLEL DO + + enddo ! p1 + enddo ! h1 + enddo !i + endif + + deallocate(tmp_2d, tmp_3d) + deallocate(tmp1, tmp2, tmp3) + deallocate(tmpval_1, tmpval_2) + deallocate(tmpvec_1, tmpvec_2, tmpvec_3) + + no_aaa_contraction = -0.5d0 * no_aaa_contraction + + !$OMP PARALLEL & + !$OMP DEFAULT (NONE) & + !$OMP PRIVATE (h1, h2, p1, p2) & + !$OMP SHARED (no_aaa_contraction, mo_num) + + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 1, mo_num + do p2 = p1, mo_num + no_aaa_contraction(p2,h2,p1,h1) -= no_aaa_contraction(p1,h2,p2,h1) + enddo + enddo + enddo + enddo + !$OMP END DO + + !$OMP DO + do h1 = 1, mo_num + do h2 = 1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + no_aaa_contraction(p2,h2,p1,h1) = -no_aaa_contraction(p1,h2,p2,h1) + enddo + enddo + enddo + enddo + !$OMP END DO + + !$OMP DO + do h1 = 1, mo_num-1 + do h2 = h1+1, mo_num + do p1 = 2, mo_num + do p2 = 1, p1-1 + no_aaa_contraction(p2,h2,p1,h1) *= -1.d0 + enddo + enddo + enddo + enddo + !$OMP END PARALLEL + + endif + + call wall_time(wall1) + print*,' Wall time for no_aaa_contraction', wall1-wall0 + +END_PROVIDER + +! ---