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CS & OS of alpha & beta

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Abdallah Ammar 2023-09-02 16:47:24 +02:00
parent 8f0f4d3135
commit 7d04a650b7
5 changed files with 1320 additions and 1155 deletions
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280
src/tc_scf/fock_3e_bi_ortho_cs.irp.f Normal file
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! ---
BEGIN_PROVIDER [double precision, fock_3e_uhf_mo_cs, (mo_num, mo_num)]
implicit none
integer :: a, b, i, j, ipoint
double precision :: ti, tf
double precision :: loc_1, loc_2, loc_3
double precision, allocatable :: Okappa(:), Jkappa(:,:)
double precision, allocatable :: tmp_omp_d1(:), tmp_omp_d2(:,:)
double precision, allocatable :: tmp_1(:,:), tmp_2(:,:,:,:)
double precision, allocatable :: tmp_3(:,:,:), tmp_4(:,:,:)
PROVIDE mo_l_coef mo_r_coef
!print *, ' PROVIDING fock_3e_uhf_mo_cs ...'
!call wall_time(ti)
! ---
allocate(Jkappa(n_points_final_grid,3), Okappa(n_points_final_grid))
Jkappa = 0.d0
Okappa = 0.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, tmp_omp_d1, tmp_omp_d2) &
!$OMP SHARED (n_points_final_grid, elec_beta_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, Okappa, Jkappa)
allocate(tmp_omp_d2(n_points_final_grid,3), tmp_omp_d1(n_points_final_grid))
tmp_omp_d2 = 0.d0
tmp_omp_d1 = 0.d0
!$OMP DO
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
tmp_omp_d2(ipoint,1) += int2_grad1_u12_bimo_t(ipoint,1,i,i)
tmp_omp_d2(ipoint,2) += int2_grad1_u12_bimo_t(ipoint,2,i,i)
tmp_omp_d2(ipoint,3) += int2_grad1_u12_bimo_t(ipoint,3,i,i)
tmp_omp_d1(ipoint) += mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do ipoint = 1, n_points_final_grid
Jkappa(ipoint,1) += tmp_omp_d2(ipoint,1)
Jkappa(ipoint,2) += tmp_omp_d2(ipoint,2)
Jkappa(ipoint,3) += tmp_omp_d2(ipoint,3)
Okappa(ipoint) += tmp_omp_d1(ipoint)
enddo
!$OMP END CRITICAL
deallocate(tmp_omp_d2, tmp_omp_d1)
!$OMP END PARALLEL
! ---
allocate(tmp_1(n_points_final_grid,4))
do ipoint = 1, n_points_final_grid
loc_1 = 2.d0 * Okappa(ipoint)
tmp_1(ipoint,1) = loc_1 * Jkappa(ipoint,1)
tmp_1(ipoint,2) = loc_1 * Jkappa(ipoint,2)
tmp_1(ipoint,3) = loc_1 * Jkappa(ipoint,3)
tmp_1(ipoint,4) = Okappa(ipoint)
enddo
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, loc_1, tmp_omp_d2) &
!$OMP SHARED (n_points_final_grid, elec_beta_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, tmp_1)
allocate(tmp_omp_d2(n_points_final_grid,3))
tmp_omp_d2 = 0.d0
!$OMP DO COLLAPSE(2)
do i = 1, elec_beta_num
do j = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
loc_1 = mos_l_in_r_array_transp(ipoint,j) * mos_r_in_r_array_transp(ipoint,i)
tmp_omp_d2(ipoint,1) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,1,i,j)
tmp_omp_d2(ipoint,2) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,2,i,j)
tmp_omp_d2(ipoint,3) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,3,i,j)
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do ipoint = 1, n_points_final_grid
tmp_1(ipoint,1) += tmp_omp_d2(ipoint,1)
tmp_1(ipoint,2) += tmp_omp_d2(ipoint,2)
tmp_1(ipoint,3) += tmp_omp_d2(ipoint,3)
enddo
!$OMP END CRITICAL
deallocate(tmp_omp_d2)
!$OMP END PARALLEL
! ---
allocate(tmp_2(n_points_final_grid,4,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, a, b) &
!$OMP SHARED (n_points_final_grid, mo_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp_2)
!$OMP DO COLLAPSE(2)
do a = 1, mo_num
do b = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_2(ipoint,1,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,b,a)
tmp_2(ipoint,2,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,b,a)
tmp_2(ipoint,3,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,b,a)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, a, b, i) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP tmp_2)
!$OMP DO COLLAPSE(2)
do a = 1, mo_num
do b = 1, mo_num
tmp_2(:,4,b,a) = 0.d0
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
tmp_2(ipoint,4,b,a) -= final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,a) )
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! ---
call dgemv( 'T', 4*n_points_final_grid, mo_num*mo_num, -2.d0 &
, tmp_2(1,1,1,1), size(tmp_2, 1) * size(tmp_2, 2) &
, tmp_1(1,1), 1 &
, 0.d0, fock_3e_uhf_mo_cs(1,1), 1)
deallocate(tmp_1, tmp_2)
! ---
allocate(tmp_3(n_points_final_grid,5,mo_num), tmp_4(n_points_final_grid,5,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, loc_1, loc_2) &
!$OMP SHARED (n_points_final_grid, mo_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP final_weight_at_r_vector, Jkappa, tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
tmp_3(:,:,b) = 0.d0
tmp_4(:,:,b) = 0.d0
do ipoint = 1, n_points_final_grid
tmp_3(ipoint,1,b) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,b)
tmp_4(ipoint,1,b) = -2.d0 * mos_r_in_r_array_transp(ipoint,b) * ( Jkappa(ipoint,1) * Jkappa(ipoint,1) &
+ Jkappa(ipoint,2) * Jkappa(ipoint,2) &
+ Jkappa(ipoint,3) * Jkappa(ipoint,3) )
tmp_4(ipoint,5,b) = mos_r_in_r_array_transp(ipoint,b)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, i, loc_1, loc_2) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP Jkappa, tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i)
loc_2 = mos_r_in_r_array_transp(ipoint,i)
tmp_3(ipoint,2,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,1,b,i)
tmp_3(ipoint,3,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,2,b,i)
tmp_3(ipoint,4,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,3,b,i)
tmp_3(ipoint,5,b) += 2.d0 * loc_1 * ( Jkappa(ipoint,1) * int2_grad1_u12_bimo_t(ipoint,1,b,i) &
+ Jkappa(ipoint,2) * int2_grad1_u12_bimo_t(ipoint,2,b,i) &
+ Jkappa(ipoint,3) * int2_grad1_u12_bimo_t(ipoint,3,b,i) )
tmp_4(ipoint,2,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,1,i,b)
tmp_4(ipoint,3,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,2,i,b)
tmp_4(ipoint,4,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,3,i,b)
tmp_4(ipoint,1,b) += 2.d0 * loc_2 * ( Jkappa(ipoint,1) * int2_grad1_u12_bimo_t(ipoint,1,i,b) &
+ Jkappa(ipoint,2) * int2_grad1_u12_bimo_t(ipoint,2,i,b) &
+ Jkappa(ipoint,3) * int2_grad1_u12_bimo_t(ipoint,3,i,b) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, i, j, loc_1, loc_2, loc_3) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
do i = 1, elec_beta_num
do j = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,j)
loc_2 = mos_r_in_r_array_transp(ipoint,b)
loc_3 = mos_r_in_r_array_transp(ipoint,i)
tmp_3(ipoint,5,b) -= loc_1 * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,j) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,j) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,j) )
tmp_4(ipoint,1,b) += ( loc_2 * ( int2_grad1_u12_bimo_t(ipoint,1,i,j) * int2_grad1_u12_bimo_t(ipoint,1,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,i,j) * int2_grad1_u12_bimo_t(ipoint,2,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,i,j) * int2_grad1_u12_bimo_t(ipoint,3,j,i) ) &
- loc_3 * ( int2_grad1_u12_bimo_t(ipoint,1,i,j) * int2_grad1_u12_bimo_t(ipoint,1,j,b) &
+ int2_grad1_u12_bimo_t(ipoint,2,i,j) * int2_grad1_u12_bimo_t(ipoint,2,j,b) &
+ int2_grad1_u12_bimo_t(ipoint,3,i,j) * int2_grad1_u12_bimo_t(ipoint,3,j,b) ) )
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! ---
call dgemm( 'T', 'N', mo_num, mo_num, 5*n_points_final_grid, 1.d0 &
, tmp_3(1,1,1), 5*n_points_final_grid &
, tmp_4(1,1,1), 5*n_points_final_grid &
, 1.d0, fock_3e_uhf_mo_cs(1,1), mo_num)
deallocate(tmp_3, tmp_4)
deallocate(Jkappa, Okappa)
! ---
!call wall_time(tf)
!print *, ' total Wall time for fock_3e_uhf_mo_cs =', tf - ti
END_PROVIDER
! ---

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! ---
BEGIN_PROVIDER [double precision, fock_3e_uhf_mo_a_os, (mo_num, mo_num)]
&BEGIN_PROVIDER [double precision, fock_3e_uhf_mo_b_os, (mo_num, mo_num)]
BEGIN_DOC
!
! Open Shell part of the Fock matrix from three-electron terms
!
! WARNING :: non hermitian if bi-ortho MOS used
!
END_DOC
implicit none
integer :: a, b, i, j, ipoint
double precision :: loc_1, loc_2, loc_3, loc_4
double precision :: ti, tf
double precision, allocatable :: Okappa(:), Jkappa(:,:), Obarkappa(:), Jbarkappa(:,:)
double precision, allocatable :: tmp_omp_d1(:), tmp_omp_d2(:,:)
double precision, allocatable :: tmp_1(:,:), tmp_2(:,:,:,:)
double precision, allocatable :: tmp_3(:,:,:), tmp_4(:,:,:)
PROVIDE mo_l_coef mo_r_coef
!print *, ' Providing fock_3e_uhf_mo_a_os and fock_3e_uhf_mo_b_os ...'
!call wall_time(ti)
! ---
allocate(Jkappa(n_points_final_grid,3), Okappa(n_points_final_grid))
allocate(Jbarkappa(n_points_final_grid,3), Obarkappa(n_points_final_grid))
Jkappa = 0.d0
Okappa = 0.d0
Jbarkappa = 0.d0
Obarkappa = 0.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, tmp_omp_d1, tmp_omp_d2) &
!$OMP SHARED (n_points_final_grid, elec_beta_num, elec_alpha_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, Okappa, Jkappa, Obarkappa, Jbarkappa)
allocate(tmp_omp_d2(n_points_final_grid,3), tmp_omp_d1(n_points_final_grid))
tmp_omp_d2 = 0.d0
tmp_omp_d1 = 0.d0
!$OMP DO
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
tmp_omp_d2(ipoint,1) += int2_grad1_u12_bimo_t(ipoint,1,i,i)
tmp_omp_d2(ipoint,2) += int2_grad1_u12_bimo_t(ipoint,2,i,i)
tmp_omp_d2(ipoint,3) += int2_grad1_u12_bimo_t(ipoint,3,i,i)
tmp_omp_d1(ipoint) += mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do ipoint = 1, n_points_final_grid
Jkappa(ipoint,1) += tmp_omp_d2(ipoint,1)
Jkappa(ipoint,2) += tmp_omp_d2(ipoint,2)
Jkappa(ipoint,3) += tmp_omp_d2(ipoint,3)
Okappa(ipoint) += tmp_omp_d1(ipoint)
enddo
!$OMP END CRITICAL
tmp_omp_d2 = 0.d0
tmp_omp_d1 = 0.d0
!$OMP DO
do i = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
tmp_omp_d2(ipoint,1) += int2_grad1_u12_bimo_t(ipoint,1,i,i)
tmp_omp_d2(ipoint,2) += int2_grad1_u12_bimo_t(ipoint,2,i,i)
tmp_omp_d2(ipoint,3) += int2_grad1_u12_bimo_t(ipoint,3,i,i)
tmp_omp_d1(ipoint) += mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do ipoint = 1, n_points_final_grid
Jbarkappa(ipoint,1) += tmp_omp_d2(ipoint,1)
Jbarkappa(ipoint,2) += tmp_omp_d2(ipoint,2)
Jbarkappa(ipoint,3) += tmp_omp_d2(ipoint,3)
Obarkappa(ipoint) += tmp_omp_d1(ipoint)
enddo
!$OMP END CRITICAL
deallocate(tmp_omp_d2, tmp_omp_d1)
!$OMP END PARALLEL
! ---
allocate(tmp_1(n_points_final_grid,4))
do ipoint = 1, n_points_final_grid
loc_1 = -2.d0 * Okappa (ipoint)
loc_2 = -2.d0 * Obarkappa(ipoint)
loc_3 = Obarkappa(ipoint)
tmp_1(ipoint,1) = (loc_1 - loc_3) * Jbarkappa(ipoint,1) + loc_2 * Jkappa(ipoint,1)
tmp_1(ipoint,2) = (loc_1 - loc_3) * Jbarkappa(ipoint,2) + loc_2 * Jkappa(ipoint,2)
tmp_1(ipoint,3) = (loc_1 - loc_3) * Jbarkappa(ipoint,3) + loc_2 * Jkappa(ipoint,3)
tmp_1(ipoint,4) = Obarkappa(ipoint)
enddo
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, loc_1, loc_2, tmp_omp_d2) &
!$OMP SHARED (n_points_final_grid, elec_beta_num, elec_alpha_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, tmp_1)
allocate(tmp_omp_d2(n_points_final_grid,3))
tmp_omp_d2 = 0.d0
!$OMP DO COLLAPSE(2)
do i = 1, elec_beta_num
do j = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
loc_1 = mos_l_in_r_array_transp(ipoint,j) * mos_r_in_r_array_transp(ipoint,i)
loc_2 = mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,j)
tmp_omp_d2(ipoint,1) += loc_1 * int2_grad1_u12_bimo_t(ipoint,1,i,j) + loc_2 * int2_grad1_u12_bimo_t(ipoint,1,j,i)
tmp_omp_d2(ipoint,2) += loc_1 * int2_grad1_u12_bimo_t(ipoint,2,i,j) + loc_2 * int2_grad1_u12_bimo_t(ipoint,2,j,i)
tmp_omp_d2(ipoint,3) += loc_1 * int2_grad1_u12_bimo_t(ipoint,3,i,j) + loc_2 * int2_grad1_u12_bimo_t(ipoint,3,j,i)
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do ipoint = 1, n_points_final_grid
tmp_1(ipoint,1) += tmp_omp_d2(ipoint,1)
tmp_1(ipoint,2) += tmp_omp_d2(ipoint,2)
tmp_1(ipoint,3) += tmp_omp_d2(ipoint,3)
enddo
!$OMP END CRITICAL
tmp_omp_d2 = 0.d0
!$OMP DO COLLAPSE(2)
do i = elec_beta_num+1, elec_alpha_num
do j = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
loc_1 = mos_l_in_r_array_transp(ipoint,j) * mos_r_in_r_array_transp(ipoint,i)
tmp_omp_d2(ipoint,1) += loc_1 * int2_grad1_u12_bimo_t(ipoint,1,i,j)
tmp_omp_d2(ipoint,2) += loc_1 * int2_grad1_u12_bimo_t(ipoint,2,i,j)
tmp_omp_d2(ipoint,3) += loc_1 * int2_grad1_u12_bimo_t(ipoint,3,i,j)
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do ipoint = 1, n_points_final_grid
tmp_1(ipoint,1) += tmp_omp_d2(ipoint,1)
tmp_1(ipoint,2) += tmp_omp_d2(ipoint,2)
tmp_1(ipoint,3) += tmp_omp_d2(ipoint,3)
enddo
!$OMP END CRITICAL
deallocate(tmp_omp_d2)
!$OMP END PARALLEL
! ---
allocate(tmp_2(n_points_final_grid,4,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, a, b) &
!$OMP SHARED (n_points_final_grid, mo_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp_2)
!$OMP DO COLLAPSE(2)
do a = 1, mo_num
do b = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_2(ipoint,1,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,b,a)
tmp_2(ipoint,2,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,b,a)
tmp_2(ipoint,3,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,b,a)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, a, b, i) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, elec_alpha_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP tmp_2)
!$OMP DO COLLAPSE(2)
do a = 1, mo_num
do b = 1, mo_num
tmp_2(:,4,b,a) = 0.d0
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
tmp_2(ipoint,4,b,a) += final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,a) )
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! ---
call dgemv( 'T', 4*n_points_final_grid, mo_num*mo_num, 1.d0 &
, tmp_2(1,1,1,1), size(tmp_2, 1) * size(tmp_2, 2) &
, tmp_1(1,1), 1 &
, 0.d0, fock_3e_uhf_mo_b_os(1,1), 1)
deallocate(tmp_1, tmp_2)
! ---
allocate(tmp_3(n_points_final_grid,2,mo_num), tmp_4(n_points_final_grid,2,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, loc_1, loc_2) &
!$OMP SHARED (n_points_final_grid, mo_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP final_weight_at_r_vector, Jkappa, Jbarkappa, tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
tmp_3(:,:,b) = 0.d0
tmp_4(:,:,b) = 0.d0
do ipoint = 1, n_points_final_grid
tmp_3(ipoint,1,b) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,b)
loc_1 = -2.0d0 * mos_r_in_r_array_transp(ipoint,b)
tmp_4(ipoint,1,b) = loc_1 * ( Jbarkappa(ipoint,1) * (Jkappa(ipoint,1) + 0.25d0 * Jbarkappa(ipoint,1)) &
+ Jbarkappa(ipoint,2) * (Jkappa(ipoint,2) + 0.25d0 * Jbarkappa(ipoint,2)) &
+ Jbarkappa(ipoint,3) * (Jkappa(ipoint,3) + 0.25d0 * Jbarkappa(ipoint,3)) )
tmp_4(ipoint,2,b) = mos_r_in_r_array_transp(ipoint,b)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, i, loc_1, loc_2, loc_3, loc_4) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, elec_alpha_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP Jkappa, Jbarkappa, tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i)
loc_2 = mos_r_in_r_array_transp(ipoint,i)
tmp_3(ipoint,2,b) += loc_1 * ( Jbarkappa(ipoint,1) * int2_grad1_u12_bimo_t(ipoint,1,b,i) &
+ Jbarkappa(ipoint,2) * int2_grad1_u12_bimo_t(ipoint,2,b,i) &
+ Jbarkappa(ipoint,3) * int2_grad1_u12_bimo_t(ipoint,3,b,i) )
tmp_4(ipoint,1,b) += loc_2 * ( Jbarkappa(ipoint,1) * int2_grad1_u12_bimo_t(ipoint,1,i,b) &
+ Jbarkappa(ipoint,2) * int2_grad1_u12_bimo_t(ipoint,2,i,b) &
+ Jbarkappa(ipoint,3) * int2_grad1_u12_bimo_t(ipoint,3,i,b) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, i, j, loc_1, loc_2, loc_3) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, elec_alpha_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
do i = 1, elec_beta_num
do j = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
loc_2 = mos_r_in_r_array_transp(ipoint,b)
tmp_4(ipoint,1,b) += loc_2 * ( int2_grad1_u12_bimo_t(ipoint,1,i,j) * int2_grad1_u12_bimo_t(ipoint,1,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,i,j) * int2_grad1_u12_bimo_t(ipoint,2,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,i,j) * int2_grad1_u12_bimo_t(ipoint,3,j,i) )
enddo
enddo
enddo
do i = elec_beta_num+1, elec_alpha_num
do j = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
loc_2 = 0.5d0 * mos_r_in_r_array_transp(ipoint,b)
tmp_4(ipoint,1,b) += loc_2 * ( int2_grad1_u12_bimo_t(ipoint,1,i,j) * int2_grad1_u12_bimo_t(ipoint,1,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,i,j) * int2_grad1_u12_bimo_t(ipoint,2,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,i,j) * int2_grad1_u12_bimo_t(ipoint,3,j,i) )
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! ---
call dgemm( 'T', 'N', mo_num, mo_num, 2*n_points_final_grid, 1.d0 &
, tmp_3(1,1,1), 2*n_points_final_grid &
, tmp_4(1,1,1), 2*n_points_final_grid &
, 1.d0, fock_3e_uhf_mo_b_os(1,1), mo_num)
deallocate(tmp_3, tmp_4)
! ---
fock_3e_uhf_mo_a_os = fock_3e_uhf_mo_b_os
allocate(tmp_1(n_points_final_grid,1))
do ipoint = 1, n_points_final_grid
tmp_1(ipoint,1) = Obarkappa(ipoint) + 2.d0 * Okappa(ipoint)
enddo
allocate(tmp_2(n_points_final_grid,1,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, a, b, i) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, elec_alpha_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP tmp_2)
!$OMP DO COLLAPSE(2)
do a = 1, mo_num
do b = 1, mo_num
tmp_2(:,1,b,a) = 0.d0
do i = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
tmp_2(ipoint,1,b,a) += final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,a) )
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemv( 'T', n_points_final_grid, mo_num*mo_num, 1.d0 &
, tmp_2(1,1,1,1), size(tmp_2, 1) * size(tmp_2, 2) &
, tmp_1(1,1), 1 &
, 1.d0, fock_3e_uhf_mo_a_os(1,1), 1)
deallocate(tmp_1, tmp_2)
! ---
allocate(tmp_3(n_points_final_grid,8,mo_num), tmp_4(n_points_final_grid,8,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b) &
!$OMP SHARED (n_points_final_grid, mo_num, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP final_weight_at_r_vector, Jkappa, Jbarkappa, tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
tmp_3(:,:,b) = 0.d0
tmp_4(:,:,b) = 0.d0
do ipoint = 1, n_points_final_grid
tmp_3(ipoint,1,b) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,b)
tmp_4(ipoint,8,b) = mos_r_in_r_array_transp(ipoint,b)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, i, loc_1, loc_2, loc_3, loc_4) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, elec_alpha_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP Jkappa, Jbarkappa, tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i)
loc_2 = mos_r_in_r_array_transp(ipoint,i)
tmp_3(ipoint,2,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,1,b,i)
tmp_3(ipoint,3,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,2,b,i)
tmp_3(ipoint,4,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,3,b,i)
tmp_4(ipoint,5,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,1,i,b)
tmp_4(ipoint,6,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,2,i,b)
tmp_4(ipoint,7,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,3,i,b)
enddo
enddo
do i = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i)
loc_3 = 2.d0 * loc_1
loc_2 = mos_r_in_r_array_transp(ipoint,i)
loc_4 = 2.d0 * loc_2
tmp_3(ipoint,5,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,1,b,i)
tmp_3(ipoint,6,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,2,b,i)
tmp_3(ipoint,7,b) -= loc_1 * int2_grad1_u12_bimo_t(ipoint,3,b,i)
tmp_3(ipoint,8,b) += loc_3 * ( (Jkappa(ipoint,1) + 0.5d0 * Jbarkappa(ipoint,1)) * int2_grad1_u12_bimo_t(ipoint,1,b,i) &
+ (Jkappa(ipoint,2) + 0.5d0 * Jbarkappa(ipoint,2)) * int2_grad1_u12_bimo_t(ipoint,2,b,i) &
+ (Jkappa(ipoint,3) + 0.5d0 * Jbarkappa(ipoint,3)) * int2_grad1_u12_bimo_t(ipoint,3,b,i) )
tmp_4(ipoint,1,b) += loc_4 * ( (Jkappa(ipoint,1) + 0.5d0 * Jbarkappa(ipoint,1)) * int2_grad1_u12_bimo_t(ipoint,1,i,b) &
+ (Jkappa(ipoint,2) + 0.5d0 * Jbarkappa(ipoint,2)) * int2_grad1_u12_bimo_t(ipoint,2,i,b) &
+ (Jkappa(ipoint,3) + 0.5d0 * Jbarkappa(ipoint,3)) * int2_grad1_u12_bimo_t(ipoint,3,i,b) )
tmp_4(ipoint,2,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,1,i,b)
tmp_4(ipoint,3,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,2,i,b)
tmp_4(ipoint,4,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,3,i,b)
tmp_4(ipoint,5,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,1,i,b)
tmp_4(ipoint,6,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,2,i,b)
tmp_4(ipoint,7,b) += loc_2 * int2_grad1_u12_bimo_t(ipoint,3,i,b)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, i, j, loc_1, loc_2, loc_3) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, elec_alpha_num, &
!$OMP final_weight_at_r_vector, int2_grad1_u12_bimo_t, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP tmp_3, tmp_4)
!$OMP DO
do b = 1, mo_num
do i = 1, elec_beta_num
do j = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,j)
loc_2 = mos_r_in_r_array_transp(ipoint,b)
loc_3 = mos_r_in_r_array_transp(ipoint,i)
tmp_3(ipoint,8,b) -= loc_1 * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,j) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,j) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,j) )
tmp_4(ipoint,1,b) -= loc_3 * ( int2_grad1_u12_bimo_t(ipoint,1,i,j) * int2_grad1_u12_bimo_t(ipoint,1,j,b) &
+ int2_grad1_u12_bimo_t(ipoint,2,i,j) * int2_grad1_u12_bimo_t(ipoint,2,j,b) &
+ int2_grad1_u12_bimo_t(ipoint,3,i,j) * int2_grad1_u12_bimo_t(ipoint,3,j,b) )
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i)
loc_3 = mos_r_in_r_array_transp(ipoint,j)
tmp_3(ipoint,8,b) -= loc_1 * ( int2_grad1_u12_bimo_t(ipoint,1,b,j) * int2_grad1_u12_bimo_t(ipoint,1,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,j) * int2_grad1_u12_bimo_t(ipoint,2,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,j) * int2_grad1_u12_bimo_t(ipoint,3,j,i) )
tmp_4(ipoint,1,b) -= loc_3 * ( int2_grad1_u12_bimo_t(ipoint,1,j,i) * int2_grad1_u12_bimo_t(ipoint,1,i,b) &
+ int2_grad1_u12_bimo_t(ipoint,2,j,i) * int2_grad1_u12_bimo_t(ipoint,2,i,b) &
+ int2_grad1_u12_bimo_t(ipoint,3,j,i) * int2_grad1_u12_bimo_t(ipoint,3,i,b) )
enddo
enddo
enddo
do i = elec_beta_num+1, elec_alpha_num
do j = elec_beta_num+1, elec_alpha_num
do ipoint = 1, n_points_final_grid
loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,j)
loc_2 = 0.5d0 * mos_r_in_r_array_transp(ipoint,b)
loc_3 = mos_r_in_r_array_transp(ipoint,i)
tmp_3(ipoint,8,b) -= loc_1 * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,j) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,j) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,j) )
tmp_4(ipoint,1,b) -= loc_3 * ( int2_grad1_u12_bimo_t(ipoint,1,i,j) * int2_grad1_u12_bimo_t(ipoint,1,j,b) &
+ int2_grad1_u12_bimo_t(ipoint,2,i,j) * int2_grad1_u12_bimo_t(ipoint,2,j,b) &
+ int2_grad1_u12_bimo_t(ipoint,3,i,j) * int2_grad1_u12_bimo_t(ipoint,3,j,b) )
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! ---
call dgemm( 'T', 'N', mo_num, mo_num, 8*n_points_final_grid, 1.d0 &
, tmp_3(1,1,1), 8*n_points_final_grid &
, tmp_4(1,1,1), 8*n_points_final_grid &
, 1.d0, fock_3e_uhf_mo_a_os(1,1), mo_num)
deallocate(tmp_3, tmp_4)
deallocate(Jkappa, Okappa)
!call wall_time(tf)
!print *, ' Wall time for fock_3e_uhf_mo_a_os and fock_3e_uhf_mo_b_os =', tf - ti
END_PROVIDER
! ---

1168
src/tc_scf/fock_3e_bi_ortho_uhf.irp.f
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490
src/tc_scf/fock_3e_bi_ortho_uhf_old.irp.f Normal file
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@ -0,0 +1,490 @@
! ---
BEGIN_PROVIDER [double precision, fock_3e_uhf_mo_cs_old, (mo_num, mo_num)]
implicit none
integer :: a, b, i, j
double precision :: I_bij_aij, I_bij_ija, I_bij_jai, I_bij_aji, I_bij_iaj, I_bij_jia
double precision :: ti, tf
double precision, allocatable :: tmp(:,:)
PROVIDE mo_l_coef mo_r_coef
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, I_bij_aij)
!print *, ' PROVIDING fock_3e_uhf_mo_cs_old ...'
!call wall_time(ti)
fock_3e_uhf_mo_cs_old = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (a, b, i, j, I_bij_aij, I_bij_ija, I_bij_jai, I_bij_aji, I_bij_iaj, I_bij_jia, tmp) &
!$OMP SHARED (mo_num, elec_beta_num, fock_3e_uhf_mo_cs_old)
allocate(tmp(mo_num,mo_num))
tmp = 0.d0
!$OMP DO
do a = 1, mo_num
do b = 1, mo_num
do j = 1, elec_beta_num
do i = 1, elec_beta_num
call give_integrals_3_body_bi_ort(b, i, j, a, i, j, I_bij_aij)
call give_integrals_3_body_bi_ort(b, i, j, i, j, a, I_bij_ija)
call give_integrals_3_body_bi_ort(b, i, j, j, a, i, I_bij_jai)
call give_integrals_3_body_bi_ort(b, i, j, a, j, i, I_bij_aji)
call give_integrals_3_body_bi_ort(b, i, j, i, a, j, I_bij_iaj)
call give_integrals_3_body_bi_ort(b, i, j, j, i, a, I_bij_jia)
tmp(b,a) -= 0.5d0 * ( 4.d0 * I_bij_aij &
+ I_bij_ija &
+ I_bij_jai &
- 2.d0 * I_bij_aji &
- 2.d0 * I_bij_iaj &
- 2.d0 * I_bij_jia )
enddo
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do a = 1, mo_num
do b = 1, mo_num
fock_3e_uhf_mo_cs_old(b,a) += tmp(b,a)
enddo
enddo
!$OMP END CRITICAL
deallocate(tmp)
!$OMP END PARALLEL
!call wall_time(tf)
!print *, ' total Wall time for fock_3e_uhf_mo_cs_old =', tf - ti
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, fock_3e_uhf_mo_a_old, (mo_num, mo_num)]
BEGIN_DOC
!
! ALPHA part of the Fock matrix from three-electron terms
!
! WARNING :: non hermitian if bi-ortho MOS used
!
END_DOC
implicit none
integer :: a, b, i, j, o
double precision :: I_bij_aij, I_bij_ija, I_bij_jai, I_bij_aji, I_bij_iaj, I_bij_jia
double precision :: ti, tf
double precision, allocatable :: tmp(:,:)
PROVIDE mo_l_coef mo_r_coef
PROVIDE fock_3e_uhf_mo_cs
!print *, ' Providing fock_3e_uhf_mo_a_old ...'
!call wall_time(ti)
o = elec_beta_num + 1
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, I_bij_aij)
PROVIDE fock_3e_uhf_mo_cs_old
fock_3e_uhf_mo_a_old = fock_3e_uhf_mo_cs_old
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (a, b, i, j, I_bij_aij, I_bij_ija, I_bij_jai, I_bij_aji, I_bij_iaj, I_bij_jia, tmp) &
!$OMP SHARED (mo_num, o, elec_alpha_num, elec_beta_num, fock_3e_uhf_mo_a_old)
allocate(tmp(mo_num,mo_num))
tmp = 0.d0
!$OMP DO
do a = 1, mo_num
do b = 1, mo_num
! ---
do j = o, elec_alpha_num
do i = 1, elec_beta_num
call give_integrals_3_body_bi_ort(b, i, j, a, i, j, I_bij_aij)
call give_integrals_3_body_bi_ort(b, i, j, i, j, a, I_bij_ija)
call give_integrals_3_body_bi_ort(b, i, j, j, a, i, I_bij_jai)
call give_integrals_3_body_bi_ort(b, i, j, a, j, i, I_bij_aji)
call give_integrals_3_body_bi_ort(b, i, j, i, a, j, I_bij_iaj)
call give_integrals_3_body_bi_ort(b, i, j, j, i, a, I_bij_jia)
tmp(b,a) -= 0.5d0 * ( 2.d0 * I_bij_aij &
+ I_bij_ija &
+ I_bij_jai &
- I_bij_aji &
- I_bij_iaj &
- 2.d0 * I_bij_jia )
enddo
enddo
! ---
do j = 1, elec_beta_num
do i = o, elec_alpha_num
call give_integrals_3_body_bi_ort(b, i, j, a, i, j, I_bij_aij)
call give_integrals_3_body_bi_ort(b, i, j, i, j, a, I_bij_ija)
call give_integrals_3_body_bi_ort(b, i, j, j, a, i, I_bij_jai)
call give_integrals_3_body_bi_ort(b, i, j, a, j, i, I_bij_aji)
call give_integrals_3_body_bi_ort(b, i, j, i, a, j, I_bij_iaj)
call give_integrals_3_body_bi_ort(b, i, j, j, i, a, I_bij_jia)
tmp(b,a) -= 0.5d0 * ( 2.d0 * I_bij_aij &
+ I_bij_ija &
+ I_bij_jai &
- I_bij_aji &
- 2.d0 * I_bij_iaj &
- I_bij_jia )
enddo
enddo
! ---
do j = o, elec_alpha_num
do i = o, elec_alpha_num
call give_integrals_3_body_bi_ort(b, i, j, a, i, j, I_bij_aij)
call give_integrals_3_body_bi_ort(b, i, j, i, j, a, I_bij_ija)
call give_integrals_3_body_bi_ort(b, i, j, j, a, i, I_bij_jai)
call give_integrals_3_body_bi_ort(b, i, j, a, j, i, I_bij_aji)
call give_integrals_3_body_bi_ort(b, i, j, i, a, j, I_bij_iaj)
call give_integrals_3_body_bi_ort(b, i, j, j, i, a, I_bij_jia)
tmp(b,a) -= 0.5d0 * ( I_bij_aij &
+ I_bij_ija &
+ I_bij_jai &
- I_bij_aji &
- I_bij_iaj &
- I_bij_jia )
enddo
enddo
! ---
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do a = 1, mo_num
do b = 1, mo_num
fock_3e_uhf_mo_a_old(b,a) += tmp(b,a)
enddo
enddo
!$OMP END CRITICAL
deallocate(tmp)
!$OMP END PARALLEL
!call wall_time(tf)
!print *, ' Wall time for fock_3e_uhf_mo_a_old =', tf - ti
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, fock_3e_uhf_mo_b_old, (mo_num, mo_num)]
BEGIN_DOC
!
! BETA part of the Fock matrix from three-electron terms
!
! WARNING :: non hermitian if bi-ortho MOS used
!
END_DOC
implicit none
integer :: a, b, i, j, o
double precision :: I_bij_aij, I_bij_ija, I_bij_jai, I_bij_aji, I_bij_iaj, I_bij_jia
double precision :: ti, tf
double precision, allocatable :: tmp(:,:)
PROVIDE mo_l_coef mo_r_coef
!print *, ' PROVIDING fock_3e_uhf_mo_b_old ...'
!call wall_time(ti)
o = elec_beta_num + 1
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, I_bij_aij)
PROVIDE fock_3e_uhf_mo_cs_old
fock_3e_uhf_mo_b_old = fock_3e_uhf_mo_cs_old
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (a, b, i, j, I_bij_aij, I_bij_ija, I_bij_jai, I_bij_aji, I_bij_iaj, I_bij_jia, tmp) &
!$OMP SHARED (mo_num, o, elec_alpha_num, elec_beta_num, fock_3e_uhf_mo_b_old)
allocate(tmp(mo_num,mo_num))
tmp = 0.d0
!$OMP DO
do a = 1, mo_num
do b = 1, mo_num
! ---
do j = o, elec_alpha_num
do i = 1, elec_beta_num
call give_integrals_3_body_bi_ort(b, i, j, a, i, j, I_bij_aij)
call give_integrals_3_body_bi_ort(b, i, j, i, j, a, I_bij_ija)
call give_integrals_3_body_bi_ort(b, i, j, j, a, i, I_bij_jai)
call give_integrals_3_body_bi_ort(b, i, j, a, j, i, I_bij_aji)
call give_integrals_3_body_bi_ort(b, i, j, i, a, j, I_bij_iaj)
call give_integrals_3_body_bi_ort(b, i, j, j, i, a, I_bij_jia)
tmp(b,a) -= 0.5d0 * ( 2.d0 * I_bij_aij &
- I_bij_aji &
- I_bij_iaj )
enddo
enddo
! ---
do j = 1, elec_beta_num
do i = o, elec_alpha_num
call give_integrals_3_body_bi_ort(b, i, j, a, i, j, I_bij_aij)
call give_integrals_3_body_bi_ort(b, i, j, i, j, a, I_bij_ija)
call give_integrals_3_body_bi_ort(b, i, j, j, a, i, I_bij_jai)
call give_integrals_3_body_bi_ort(b, i, j, a, j, i, I_bij_aji)
call give_integrals_3_body_bi_ort(b, i, j, i, a, j, I_bij_iaj)
call give_integrals_3_body_bi_ort(b, i, j, j, i, a, I_bij_jia)
tmp(b,a) -= 0.5d0 * ( 2.d0 * I_bij_aij &
- I_bij_aji &
- I_bij_jia )
enddo
enddo
! ---
do j = o, elec_alpha_num
do i = o, elec_alpha_num
call give_integrals_3_body_bi_ort(b, i, j, a, i, j, I_bij_aij)
call give_integrals_3_body_bi_ort(b, i, j, i, j, a, I_bij_ija)
call give_integrals_3_body_bi_ort(b, i, j, j, a, i, I_bij_jai)
call give_integrals_3_body_bi_ort(b, i, j, a, j, i, I_bij_aji)
call give_integrals_3_body_bi_ort(b, i, j, i, a, j, I_bij_iaj)
call give_integrals_3_body_bi_ort(b, i, j, j, i, a, I_bij_jia)
tmp(b,a) -= 0.5d0 * ( I_bij_aij &
- I_bij_aji )
enddo
enddo
! ---
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do a = 1, mo_num
do b = 1, mo_num
fock_3e_uhf_mo_b_old(b,a) += tmp(b,a)
enddo
enddo
!$OMP END CRITICAL
deallocate(tmp)
!$OMP END PARALLEL
!call wall_time(tf)
!print *, ' total Wall time for fock_3e_uhf_mo_b_old =', tf - ti
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, fock_3e_uhf_ao_a, (ao_num, ao_num)]
BEGIN_DOC
!
! Equations (B6) and (B7)
!
! g <--> gamma
! d <--> delta
! e <--> eta
! k <--> kappa
!
END_DOC
implicit none
integer :: g, d, e, k, mu, nu
double precision :: dm_ge_a, dm_ge_b, dm_ge
double precision :: dm_dk_a, dm_dk_b, dm_dk
double precision :: i_mugd_nuek, i_mugd_eknu, i_mugd_knue, i_mugd_nuke, i_mugd_enuk, i_mugd_kenu
double precision :: ti, tf
double precision, allocatable :: f_tmp(:,:)
!print *, ' PROVIDING fock_3e_uhf_ao_a ...'
!call wall_time(ti)
fock_3e_uhf_ao_a = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (g, e, d, k, mu, nu, dm_ge_a, dm_ge_b, dm_ge, dm_dk_a, dm_dk_b, dm_dk, f_tmp, &
!$OMP i_mugd_nuek, i_mugd_eknu, i_mugd_knue, i_mugd_nuke, i_mugd_enuk, i_mugd_kenu) &
!$OMP SHARED (ao_num, TCSCF_bi_ort_dm_ao_alpha, TCSCF_bi_ort_dm_ao_beta, fock_3e_uhf_ao_a)
allocate(f_tmp(ao_num,ao_num))
f_tmp = 0.d0
!$OMP DO
do g = 1, ao_num
do e = 1, ao_num
dm_ge_a = TCSCF_bi_ort_dm_ao_alpha(g,e)
dm_ge_b = TCSCF_bi_ort_dm_ao_beta (g,e)
dm_ge = dm_ge_a + dm_ge_b
do d = 1, ao_num
do k = 1, ao_num
dm_dk_a = TCSCF_bi_ort_dm_ao_alpha(d,k)
dm_dk_b = TCSCF_bi_ort_dm_ao_beta (d,k)
dm_dk = dm_dk_a + dm_dk_b
do mu = 1, ao_num
do nu = 1, ao_num
call give_integrals_3_body_bi_ort_ao(mu, g, d, nu, e, k, i_mugd_nuek)
call give_integrals_3_body_bi_ort_ao(mu, g, d, e, k, nu, i_mugd_eknu)
call give_integrals_3_body_bi_ort_ao(mu, g, d, k, nu, e, i_mugd_knue)
call give_integrals_3_body_bi_ort_ao(mu, g, d, nu, k, e, i_mugd_nuke)
call give_integrals_3_body_bi_ort_ao(mu, g, d, e, nu, k, i_mugd_enuk)
call give_integrals_3_body_bi_ort_ao(mu, g, d, k, e, nu, i_mugd_kenu)
f_tmp(mu,nu) -= 0.5d0 * ( dm_ge * dm_dk * i_mugd_nuek &
+ dm_ge_a * dm_dk_a * i_mugd_eknu &
+ dm_ge_a * dm_dk_a * i_mugd_knue &
- dm_ge_a * dm_dk * i_mugd_enuk &
- dm_ge * dm_dk_a * i_mugd_kenu &
- dm_ge_a * dm_dk_a * i_mugd_nuke &
- dm_ge_b * dm_dk_b * i_mugd_nuke )
enddo
enddo
enddo
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do mu = 1, ao_num
do nu = 1, ao_num
fock_3e_uhf_ao_a(mu,nu) += f_tmp(mu,nu)
enddo
enddo
!$OMP END CRITICAL
deallocate(f_tmp)
!$OMP END PARALLEL
!call wall_time(tf)
!print *, ' total Wall time for fock_3e_uhf_ao_a =', tf - ti
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, fock_3e_uhf_ao_b, (ao_num, ao_num)]
BEGIN_DOC
!
! Equations (B6) and (B7)
!
! g <--> gamma
! d <--> delta
! e <--> eta
! k <--> kappa
!
END_DOC
implicit none
integer :: g, d, e, k, mu, nu
double precision :: dm_ge_a, dm_ge_b, dm_ge
double precision :: dm_dk_a, dm_dk_b, dm_dk
double precision :: i_mugd_nuek, i_mugd_eknu, i_mugd_knue, i_mugd_nuke, i_mugd_enuk, i_mugd_kenu
double precision :: ti, tf
double precision, allocatable :: f_tmp(:,:)
!print *, ' PROVIDING fock_3e_uhf_ao_b ...'
!call wall_time(ti)
fock_3e_uhf_ao_b = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (g, e, d, k, mu, nu, dm_ge_a, dm_ge_b, dm_ge, dm_dk_a, dm_dk_b, dm_dk, f_tmp, &
!$OMP i_mugd_nuek, i_mugd_eknu, i_mugd_knue, i_mugd_nuke, i_mugd_enuk, i_mugd_kenu) &
!$OMP SHARED (ao_num, TCSCF_bi_ort_dm_ao_alpha, TCSCF_bi_ort_dm_ao_beta, fock_3e_uhf_ao_b)
allocate(f_tmp(ao_num,ao_num))
f_tmp = 0.d0
!$OMP DO
do g = 1, ao_num
do e = 1, ao_num
dm_ge_a = TCSCF_bi_ort_dm_ao_alpha(g,e)
dm_ge_b = TCSCF_bi_ort_dm_ao_beta (g,e)
dm_ge = dm_ge_a + dm_ge_b
do d = 1, ao_num
do k = 1, ao_num
dm_dk_a = TCSCF_bi_ort_dm_ao_alpha(d,k)
dm_dk_b = TCSCF_bi_ort_dm_ao_beta (d,k)
dm_dk = dm_dk_a + dm_dk_b
do mu = 1, ao_num
do nu = 1, ao_num
call give_integrals_3_body_bi_ort_ao(mu, g, d, nu, e, k, i_mugd_nuek)
call give_integrals_3_body_bi_ort_ao(mu, g, d, e, k, nu, i_mugd_eknu)
call give_integrals_3_body_bi_ort_ao(mu, g, d, k, nu, e, i_mugd_knue)
call give_integrals_3_body_bi_ort_ao(mu, g, d, nu, k, e, i_mugd_nuke)
call give_integrals_3_body_bi_ort_ao(mu, g, d, e, nu, k, i_mugd_enuk)
call give_integrals_3_body_bi_ort_ao(mu, g, d, k, e, nu, i_mugd_kenu)
f_tmp(mu,nu) -= 0.5d0 * ( dm_ge * dm_dk * i_mugd_nuek &
+ dm_ge_b * dm_dk_b * i_mugd_eknu &
+ dm_ge_b * dm_dk_b * i_mugd_knue &
- dm_ge_b * dm_dk * i_mugd_enuk &
- dm_ge * dm_dk_b * i_mugd_kenu &
- dm_ge_b * dm_dk_b * i_mugd_nuke &
- dm_ge_a * dm_dk_a * i_mugd_nuke )
enddo
enddo
enddo
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do mu = 1, ao_num
do nu = 1, ao_num
fock_3e_uhf_ao_b(mu,nu) += f_tmp(mu,nu)
enddo
enddo
!$OMP END CRITICAL
deallocate(f_tmp)
!$OMP END PARALLEL
!call wall_time(tf)
!print *, ' total Wall time for fock_3e_uhf_ao_b =', tf - ti
END_PROVIDER
! ---

1
src/tc_scf/test_int.irp.f
View File

@ -58,6 +58,7 @@ program test_ints
call test_fock_3e_uhf_mo_cs()
call test_fock_3e_uhf_mo_a()
call test_fock_3e_uhf_mo_b()
end