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QuantumPackage/plugins/local/tc_scf/fock_tc.irp.f
Abdallah Ammar d43d960b1a TC-SCF CLEANED
2024-05-01 23:10:18 +02:00

1082 lines
40 KiB
Fortran
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! ---
BEGIN_PROVIDER [ double precision, two_e_tc_integral_alpha, (ao_num, ao_num)]
&BEGIN_PROVIDER [ double precision, two_e_tc_integral_beta , (ao_num, ao_num)]
BEGIN_DOC
!
! two_e_tc_integral_alpha(k,i) = <k| F^tc_2e_alpha |i> ON THE AO BASIS
!
! where F^tc_2e is the TWO-BODY part of the TC Fock matrix and k,i are AO basis functions
!
END_DOC
implicit none
integer :: i, j, k, l
double precision :: density, density_a, density_b, I_coul, I_kjli
double precision :: t0, t1
double precision, allocatable :: tmp_a(:,:), tmp_b(:,:)
PROVIDE ao_two_e_tc_tot
PROVIDE mo_l_coef mo_r_coef
PROVIDE TCSCF_density_matrix_ao_alpha TCSCF_density_matrix_ao_beta
two_e_tc_integral_alpha = 0.d0
two_e_tc_integral_beta = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (i, j, k, l, density_a, density_b, density, tmp_a, tmp_b, I_coul, I_kjli) &
!$OMP SHARED (ao_num, TCSCF_density_matrix_ao_alpha, TCSCF_density_matrix_ao_beta, ao_two_e_tc_tot, &
!$OMP two_e_tc_integral_alpha, two_e_tc_integral_beta)
allocate(tmp_a(ao_num,ao_num), tmp_b(ao_num,ao_num))
tmp_a = 0.d0
tmp_b = 0.d0
!$OMP DO
do j = 1, ao_num
do l = 1, ao_num
density_a = TCSCF_density_matrix_ao_alpha(l,j)
density_b = TCSCF_density_matrix_ao_beta (l,j)
density = density_a + density_b
do i = 1, ao_num
do k = 1, ao_num
I_coul = density * ao_two_e_tc_tot(k,i,l,j)
I_kjli = ao_two_e_tc_tot(k,j,l,i)
tmp_a(k,i) += I_coul - density_a * I_kjli
tmp_b(k,i) += I_coul - density_b * I_kjli
enddo
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP CRITICAL
do i = 1, ao_num
do j = 1, ao_num
two_e_tc_integral_alpha(j,i) += tmp_a(j,i)
two_e_tc_integral_beta (j,i) += tmp_b(j,i)
enddo
enddo
!$OMP END CRITICAL
deallocate(tmp_a, tmp_b)
!$OMP END PARALLEL
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, Fock_matrix_tc_ao_alpha, (ao_num, ao_num)]
BEGIN_DOC
! Total alpha TC Fock matrix : h_c + Two-e^TC terms on the AO basis
END_DOC
implicit none
double precision :: t0, t1
Fock_matrix_tc_ao_alpha = ao_one_e_integrals_tc_tot + two_e_tc_integral_alpha
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, Fock_matrix_tc_ao_beta, (ao_num, ao_num)]
BEGIN_DOC
! Total beta TC Fock matrix : h_c + Two-e^TC terms on the AO basis
END_DOC
implicit none
Fock_matrix_tc_ao_beta = ao_one_e_integrals_tc_tot + two_e_tc_integral_beta
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, Fock_matrix_tc_mo_alpha, (mo_num, mo_num)]
BEGIN_DOC
! Total alpha TC Fock matrix : h_c + Two-e^TC terms on the MO basis
END_DOC
implicit none
double precision :: t0, t1, tt0, tt1
double precision, allocatable :: tmp(:,:)
PROVIDE mo_l_coef mo_r_coef
call ao_to_mo_bi_ortho( Fock_matrix_tc_ao_alpha, size(Fock_matrix_tc_ao_alpha, 1) &
, Fock_matrix_tc_mo_alpha, size(Fock_matrix_tc_mo_alpha, 1) )
if(three_body_h_tc) then
PROVIDE fock_3e_mo_a
Fock_matrix_tc_mo_alpha += fock_3e_mo_a
endif
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, Fock_matrix_tc_mo_beta, (mo_num,mo_num) ]
BEGIN_DOC
! Total beta TC Fock matrix : h_c + Two-e^TC terms on the MO basis
END_DOC
implicit none
double precision, allocatable :: tmp(:,:)
call ao_to_mo_bi_ortho( Fock_matrix_tc_ao_beta, size(Fock_matrix_tc_ao_beta, 1) &
, Fock_matrix_tc_mo_beta, size(Fock_matrix_tc_mo_beta, 1) )
if(three_body_h_tc) then
PROVIDE fock_3e_mo_b
Fock_matrix_tc_mo_beta += fock_3e_mo_b
endif
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, grad_non_hermit_left]
&BEGIN_PROVIDER [ double precision, grad_non_hermit_right]
&BEGIN_PROVIDER [ double precision, grad_non_hermit]
implicit none
integer :: i, k
grad_non_hermit_left = 0.d0
grad_non_hermit_right = 0.d0
do i = 1, elec_beta_num ! doc --> SOMO
do k = elec_beta_num+1, elec_alpha_num
grad_non_hermit_left = max(grad_non_hermit_left , dabs(Fock_matrix_tc_mo_tot(k,i)))
grad_non_hermit_right = max(grad_non_hermit_right, dabs(Fock_matrix_tc_mo_tot(i,k)))
enddo
enddo
do i = 1, elec_beta_num ! doc --> virt
do k = elec_alpha_num+1, mo_num
grad_non_hermit_left = max(grad_non_hermit_left , dabs(Fock_matrix_tc_mo_tot(k,i)))
grad_non_hermit_right = max(grad_non_hermit_right, dabs(Fock_matrix_tc_mo_tot(i,k)))
enddo
enddo
do i = elec_beta_num+1, elec_alpha_num ! SOMO --> virt
do k = elec_alpha_num+1, mo_num
grad_non_hermit_left = max(grad_non_hermit_left , dabs(Fock_matrix_tc_mo_tot(k,i)))
grad_non_hermit_right = max(grad_non_hermit_right, dabs(Fock_matrix_tc_mo_tot(i,k)))
enddo
enddo
grad_non_hermit = max(grad_non_hermit_left, grad_non_hermit_right)
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, Fock_matrix_tc_ao_tot, (ao_num, ao_num) ]
implicit none
double precision :: t0, t1
PROVIDE mo_l_coef mo_r_coef
PROVIDE Fock_matrix_tc_mo_tot
call mo_to_ao_bi_ortho( Fock_matrix_tc_mo_tot, size(Fock_matrix_tc_mo_tot, 1) &
, Fock_matrix_tc_ao_tot, size(Fock_matrix_tc_ao_tot, 1) )
END_PROVIDER
! ---
! ---
BEGIN_PROVIDER [double precision, fock_3e_mo_a, (mo_num, mo_num)]
BEGIN_DOC
!
! Fock matrix alpha from three-electron terms
!
! WARNING :: non hermitian if bi-ortho MOS used
!
END_DOC
implicit none
double precision :: ti, tf
PROVIDE mo_l_coef mo_r_coef
! CLOSED-SHELL PART
PROVIDE fock_3e_mo_cs
fock_3e_mo_a = fock_3e_mo_cs
if(elec_alpha_num .ne. elec_beta_num) then
! OPEN-SHELL PART
PROVIDE fock_3e_mo_a_os
fock_3e_mo_a += fock_3e_mo_a_os
endif
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, fock_3e_mo_b, (mo_num, mo_num)]
BEGIN_DOC
!
! Fock matrix beta from three-electron terms
!
! WARNING :: non hermitian if bi-ortho MOS used
!
END_DOC
implicit none
double precision :: ti, tf
PROVIDE mo_l_coef mo_r_coef
! CLOSED-SHELL PART
PROVIDE fock_3e_mo_cs
fock_3e_mo_b = fock_3e_mo_cs
if(elec_alpha_num .ne. elec_beta_num) then
! OPEN-SHELL PART
PROVIDE fock_3e_mo_b_os
fock_3e_mo_b += fock_3e_mo_b_os
endif
END_PROVIDER
! ---
! ---
BEGIN_PROVIDER [double precision, fock_3e_mo_a_os, (mo_num, mo_num)]
&BEGIN_PROVIDER [double precision, fock_3e_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
! ---
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_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
!$OMP END PARALLEL
! ---
call dgemm( 'T', 'N', mo_num, mo_num, 2*n_points_final_grid, 1.d0 &
, tmp_3(1,1,1), 2*n_points_final_grid &
, tmp_4(1,1,1), 2*n_points_final_grid &
, 1.d0, fock_3e_mo_b_os(1,1), mo_num)
deallocate(tmp_3, tmp_4)
! ---
fock_3e_mo_a_os = fock_3e_mo_b_os
allocate(tmp_1(n_points_final_grid,1))
do ipoint = 1, n_points_final_grid
tmp_1(ipoint,1) = Obarkappa(ipoint) + 2.d0 * Okappa(ipoint)
enddo
allocate(tmp_2(n_points_final_grid,1,mo_num,mo_num))
!$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_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
!$OMP END PARALLEL
! ---
call dgemm( 'T', 'N', mo_num, mo_num, 8*n_points_final_grid, 1.d0 &
, tmp_3(1,1,1), 8*n_points_final_grid &
, tmp_4(1,1,1), 8*n_points_final_grid &
, 1.d0, fock_3e_mo_a_os(1,1), mo_num)
deallocate(tmp_3, tmp_4)
deallocate(Jkappa, Okappa)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, fock_3e_mo_cs, (mo_num, mo_num)]
implicit none
integer :: a, b, i, j, ipoint
double precision :: ti, tf
double precision :: loc_1, loc_2, loc_3
double precision, allocatable :: Okappa(:), Jkappa(:,:)
double precision, allocatable :: tmp_omp_d1(:), tmp_omp_d2(:,:)
double precision, allocatable :: tmp_1(:,:), tmp_2(:,:,:,:), tmp_22(:,:,:)
double precision, allocatable :: tmp_3(:,:,:), tmp_4(:,:,:)
PROVIDE mo_l_coef mo_r_coef
! ---
allocate(Jkappa(n_points_final_grid,3), Okappa(n_points_final_grid))
Jkappa = 0.d0
Okappa = 0.d0
!$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)
!$OMP END PARALLEL
! ---
if(tc_save_mem) then
allocate(tmp_22(n_points_final_grid,4,mo_num))
do a = 1, mo_num
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, b, i) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, a, &
!$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_22)
!$OMP DO
do b = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_22(ipoint,1,b) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,b,a)
tmp_22(ipoint,2,b) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,b,a)
tmp_22(ipoint,3,b) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,b,a)
enddo
tmp_22(:,4,b) = 0.d0
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
tmp_22(ipoint,4,b) -= final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,a) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemv( 'T', 4*n_points_final_grid, mo_num, -2.d0 &
, tmp_22(1,1,1), size(tmp_22, 1) * size(tmp_22, 2) &
, tmp_1(1,1), 1 &
, 0.d0, fock_3e_mo_cs(1,a), 1)
enddo
deallocate(tmp_22)
else
allocate(tmp_2(n_points_final_grid,4,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, a, b, i) &
!$OMP SHARED (n_points_final_grid, mo_num, elec_beta_num, &
!$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)
!$OMP DO COLLAPSE(2)
do a = 1, mo_num
do b = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_2(ipoint,1,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,b,a)
tmp_2(ipoint,2,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,b,a)
tmp_2(ipoint,3,b,a) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,b,a)
enddo
tmp_2(:,4,b,a) = 0.d0
do i = 1, elec_beta_num
do ipoint = 1, n_points_final_grid
tmp_2(ipoint,4,b,a) -= final_weight_at_r_vector(ipoint) * ( int2_grad1_u12_bimo_t(ipoint,1,b,i) * int2_grad1_u12_bimo_t(ipoint,1,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,2,b,i) * int2_grad1_u12_bimo_t(ipoint,2,i,a) &
+ int2_grad1_u12_bimo_t(ipoint,3,b,i) * int2_grad1_u12_bimo_t(ipoint,3,i,a) )
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemv( 'T', 4*n_points_final_grid, mo_num*mo_num, -2.d0 &
, tmp_2(1,1,1,1), size(tmp_2, 1) * size(tmp_2, 2) &
, tmp_1(1,1), 1 &
, 0.d0, fock_3e_mo_cs(1,1), 1)
deallocate(tmp_2)
endif
deallocate(tmp_1)
! ---
allocate(tmp_3(n_points_final_grid,5,mo_num), tmp_4(n_points_final_grid,5,mo_num))
!$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_mo_cs(1,1), mo_num)
deallocate(tmp_3, tmp_4)
deallocate(Jkappa, Okappa)
! ---
END_PROVIDER
! ---
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