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Merge pull request #290 from AbdAmmar/dev-stable-tc-scf
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Dev stable tc scf
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AbdAmmar 2023-06-08 18:11:46 +02:00 committed by GitHub
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27 changed files with 3696 additions and 620 deletions

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@ -29,14 +29,14 @@ double precision function ao_two_e_integral_cosgtos(i, j, k, l)
complex*16 :: integral5, integral6, integral7, integral8
complex*16 :: integral_tot
double precision :: ao_two_e_integral_cosgtos_schwartz_accel
double precision :: ao_2e_cosgtos_schwartz_accel
complex*16 :: ERI_cosgtos
complex*16 :: general_primitive_integral_cosgtos
if(ao_prim_num(i) * ao_prim_num(j) * ao_prim_num(k) * ao_prim_num(l) > 1024) then
!print *, ' with shwartz acc '
ao_two_e_integral_cosgtos = ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
ao_two_e_integral_cosgtos = ao_2e_cosgtos_schwartz_accel(i, j, k, l)
else
!print *, ' without shwartz acc '
@ -294,7 +294,7 @@ end function ao_two_e_integral_cosgtos
! ---
double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
double precision function ao_2e_cosgtos_schwartz_accel(i, j, k, l)
BEGIN_DOC
! integral of the AO basis <ik|jl> or (ij|kl)
@ -329,7 +329,7 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
complex*16 :: ERI_cosgtos
complex*16 :: general_primitive_integral_cosgtos
ao_two_e_integral_cosgtos_schwartz_accel = 0.d0
ao_2e_cosgtos_schwartz_accel = 0.d0
dim1 = n_pt_max_integrals
@ -519,8 +519,7 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
integral_tot = integral1 + integral2 + integral3 + integral4 + integral5 + integral6 + integral7 + integral8
ao_two_e_integral_cosgtos_schwartz_accel = ao_two_e_integral_cosgtos_schwartz_accel &
+ coef4 * 2.d0 * real(integral_tot)
ao_2e_cosgtos_schwartz_accel = ao_2e_cosgtos_schwartz_accel + coef4 * 2.d0 * real(integral_tot)
enddo ! s
enddo ! r
enddo ! q
@ -698,8 +697,7 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
integral_tot = integral1 + integral2 + integral3 + integral4 + integral5 + integral6 + integral7 + integral8
ao_two_e_integral_cosgtos_schwartz_accel = ao_two_e_integral_cosgtos_schwartz_accel &
+ coef4 * 2.d0 * real(integral_tot)
ao_2e_cosgtos_schwartz_accel = ao_2e_cosgtos_schwartz_accel + coef4 * 2.d0 * real(integral_tot)
enddo ! s
enddo ! r
enddo ! q
@ -709,11 +707,11 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
deallocate(schwartz_kl)
end function ao_two_e_integral_cosgtos_schwartz_accel
end function ao_2e_cosgtos_schwartz_accel
! ---
BEGIN_PROVIDER [ double precision, ao_two_e_integral_cosgtos_schwartz, (ao_num,ao_num) ]
BEGIN_PROVIDER [ double precision, ao_2e_cosgtos_schwartz, (ao_num,ao_num)]
BEGIN_DOC
! Needed to compute Schwartz inequalities
@ -723,16 +721,16 @@ BEGIN_PROVIDER [ double precision, ao_two_e_integral_cosgtos_schwartz, (ao_num,a
integer :: i, k
double precision :: ao_two_e_integral_cosgtos
ao_two_e_integral_cosgtos_schwartz(1,1) = ao_two_e_integral_cosgtos(1, 1, 1, 1)
ao_2e_cosgtos_schwartz(1,1) = ao_two_e_integral_cosgtos(1, 1, 1, 1)
!$OMP PARALLEL DO PRIVATE(i,k) &
!$OMP DEFAULT(NONE) &
!$OMP SHARED(ao_num, ao_two_e_integral_cosgtos_schwartz) &
!$OMP PARALLEL DO PRIVATE(i,k) &
!$OMP DEFAULT(NONE) &
!$OMP SHARED(ao_num, ao_2e_cosgtos_schwartz) &
!$OMP SCHEDULE(dynamic)
do i = 1, ao_num
do k = 1, i
ao_two_e_integral_cosgtos_schwartz(i,k) = dsqrt(ao_two_e_integral_cosgtos(i, i, k, k))
ao_two_e_integral_cosgtos_schwartz(k,i) = ao_two_e_integral_cosgtos_schwartz(i,k)
ao_2e_cosgtos_schwartz(i,k) = dsqrt(ao_two_e_integral_cosgtos(i, i, k, k))
ao_2e_cosgtos_schwartz(k,i) = ao_2e_cosgtos_schwartz(i,k)
enddo
enddo
!$OMP END PARALLEL DO

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@ -1,10 +1,13 @@
BEGIN_PROVIDER [integer, n_points_final_grid]
implicit none
BEGIN_DOC
! Number of points which are non zero
END_DOC
integer :: i,j,k,l
implicit none
integer :: i, j, k, l
n_points_final_grid = 0
do j = 1, nucl_num
do i = 1, n_points_radial_grid -1
@ -16,9 +19,11 @@ BEGIN_PROVIDER [integer, n_points_final_grid]
enddo
enddo
enddo
print*,'n_points_final_grid = ',n_points_final_grid
print*,'n max point = ',n_points_integration_angular*(n_points_radial_grid*nucl_num - 1)
print*,' n_points_final_grid = ', n_points_final_grid
print*,' n max point = ', n_points_integration_angular*(n_points_radial_grid*nucl_num - 1)
call ezfio_set_becke_numerical_grid_n_points_final_grid(n_points_final_grid)
END_PROVIDER
! ---
@ -41,6 +46,10 @@ END_PROVIDER
implicit none
integer :: i, j, k, l, i_count
double precision :: r(3)
double precision :: wall0, wall1
call wall_time(wall0)
print *, ' Providing final_grid_points ...'
i_count = 0
do j = 1, nucl_num
@ -62,20 +71,34 @@ END_PROVIDER
enddo
enddo
FREE grid_points_per_atom
FREE final_weight_at_r
call wall_time(wall1)
print *, ' wall time for final_grid_points,', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, final_grid_points_transp, (n_points_final_grid,3)]
implicit none
BEGIN_DOC
! Transposed final_grid_points
! Transposed final_grid_points
END_DOC
implicit none
integer :: i,j
do j=1,3
do i=1,n_points_final_grid
do j = 1, 3
do i = 1, n_points_final_grid
final_grid_points_transp(i,j) = final_grid_points(j,i)
enddo
enddo
END_PROVIDER
! ---

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@ -1,13 +1,25 @@
! ---
program bi_ort_ints
implicit none
BEGIN_DOC
! TODO : Put the documentation of the program here
! TODO : Put the documentation of the program here
END_DOC
implicit none
my_grid_becke = .True.
my_n_pt_r_grid = 10
my_n_pt_a_grid = 14
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
!my_n_pt_r_grid = 10
!my_n_pt_a_grid = 14
my_n_pt_r_grid = 30
my_n_pt_a_grid = 50
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
! call test_3e
! call test_5idx
! call test_5idx2
!call test_4idx
call test_4idx2()
call test_5idx2
call test_5idx
end
@ -16,6 +28,11 @@ subroutine test_5idx2
PROVIDE three_e_5_idx_cycle_2_bi_ort
end
subroutine test_4idx2()
!PROVIDE three_e_4_idx_direct_bi_ort
PROVIDE three_e_4_idx_exch23_bi_ort
end
subroutine test_3e
implicit none
integer :: i,k,j,l,m,n,ipoint
@ -147,3 +164,184 @@ subroutine test_5idx
end
! ---
subroutine test_4idx()
implicit none
integer :: i, j, k, l
double precision :: accu, contrib, new, ref, thr
thr = 1d-5
PROVIDE three_e_4_idx_direct_bi_ort_old
PROVIDE three_e_4_idx_direct_bi_ort
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_direct_bi_ort (l,k,j,i)
ref = three_e_4_idx_direct_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_direct_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_direct_bi_ort = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_exch13_bi_ort_old
PROVIDE three_e_4_idx_exch13_bi_ort
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_exch13_bi_ort (l,k,j,i)
ref = three_e_4_idx_exch13_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_exch13_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_exch13_bi_ort = ', accu / dble(mo_num)**4
! ---
! PROVIDE three_e_4_idx_exch12_bi_ort_old
! PROVIDE three_e_4_idx_exch12_bi_ort
!
! accu = 0.d0
! do i = 1, mo_num
! do j = 1, mo_num
! do k = 1, mo_num
! do l = 1, mo_num
!
! new = three_e_4_idx_exch12_bi_ort (l,k,j,i)
! ref = three_e_4_idx_exch12_bi_ort_old(l,k,j,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. thr) then
! print*, ' problem in three_e_4_idx_exch12_bi_ort'
! print*, l, k, j, i
! print*, ref, new, contrib
! stop
! endif
!
! enddo
! enddo
! enddo
! enddo
! print*, ' accu on three_e_4_idx_exch12_bi_ort = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_cycle_1_bi_ort_old
PROVIDE three_e_4_idx_cycle_1_bi_ort
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_cycle_1_bi_ort (l,k,j,i)
ref = three_e_4_idx_cycle_1_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_cycle_1_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_cycle_1_bi_ort = ', accu / dble(mo_num)**4
! ---
! PROVIDE three_e_4_idx_cycle_2_bi_ort_old
! PROVIDE three_e_4_idx_cycle_2_bi_ort
!
! accu = 0.d0
! do i = 1, mo_num
! do j = 1, mo_num
! do k = 1, mo_num
! do l = 1, mo_num
!
! new = three_e_4_idx_cycle_2_bi_ort (l,k,j,i)
! ref = three_e_4_idx_cycle_2_bi_ort_old(l,k,j,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. thr) then
! print*, ' problem in three_e_4_idx_cycle_2_bi_ort'
! print*, l, k, j, i
! print*, ref, new, contrib
! stop
! endif
!
! enddo
! enddo
! enddo
! enddo
! print*, ' accu on three_e_4_idx_cycle_2_bi_ort = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_exch23_bi_ort_old
PROVIDE three_e_4_idx_exch23_bi_ort
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_exch23_bi_ort (l,k,j,i)
ref = three_e_4_idx_exch23_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_exch23_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_exch23_bi_ort = ', accu / dble(mo_num)**4
! ---
return
end

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@ -54,7 +54,7 @@ BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu_transp, (n_poi
enddo
enddo
! FREE mo_v_ki_bi_ortho_erf_rk_cst_mu
!FREE mo_v_ki_bi_ortho_erf_rk_cst_mu
END_PROVIDER
@ -124,6 +124,8 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3,
enddo
enddo
FREE int2_grad1_u12_ao_test
else
PROVIDE int2_grad1_u12_ao
@ -138,10 +140,13 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3,
enddo
enddo
FREE int2_grad1_u12_ao
endif
call wall_time(wall1)
print *, ' wall time for int2_grad1_u12_ao_transp ', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -150,7 +155,7 @@ END_PROVIDER
BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_transp, (mo_num, mo_num, 3, n_points_final_grid)]
implicit none
integer :: ipoint
integer :: ipoint
double precision :: wall0, wall1
PROVIDE mo_l_coef mo_r_coef
@ -177,6 +182,7 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_transp, (mo_num, mo_num,
!call wall_time(wall1)
!print *, ' Wall time for providing int2_grad1_u12_bimo_transp',wall1 - wall0
!call print_memory_usage()
END_PROVIDER
@ -185,7 +191,11 @@ END_PROVIDER
BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_t, (n_points_final_grid, 3, mo_num, mo_num)]
implicit none
integer :: i, j, ipoint
integer :: i, j, ipoint
double precision :: wall0, wall1
!call wall_time(wall0)
!print *, ' Providing int2_grad1_u12_bimo_t ...'
PROVIDE mo_l_coef mo_r_coef
PROVIDE int2_grad1_u12_bimo_transp
@ -200,6 +210,12 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_t, (n_points_final_grid,
enddo
enddo
FREE int2_grad1_u12_bimo_transp
!call wall_time(wall1)
!print *, ' wall time for int2_grad1_u12_bimo_t,', wall1 - wall0
!call print_memory_usage()
END_PROVIDER
! ---

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@ -23,11 +23,11 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_direct_bi_ort)
!$OMP DO SCHEDULE (dynamic)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_direct_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = j, mo_num
@ -36,8 +36,8 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP END DO
!$OMP END PARALLEL
do i = 1, mo_num
do j = 1, mo_num
@ -49,6 +49,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_direct_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -102,6 +103,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_1_bi_ort, (mo_num, mo_num
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_cycle_1_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -155,6 +157,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_cycle_2_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -208,6 +211,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch23_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -261,6 +265,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch13_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -306,6 +311,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch12_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -359,6 +365,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort_new, (mo_num, mo_
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch12_bi_ort_new', wall1 - wall0
call print_memory_usage()
END_PROVIDER

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@ -1,282 +1,482 @@
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort , (mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort , (mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
!&BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort , (mo_num, mo_num, mo_num, mo_num)]
!&BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_direct_bi_ort(m,j,k,i) = <mjk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_direct_bi_ort (m,j,k,i) = < m j k | -L | m j i > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_exch13_bi_ort (m,j,k,i) = < m j k | -L | i j m > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_exch12_bi_ort (m,j,k,i) = < m j k | -L | m i j > ::: notice that i is the RIGHT MO and k is the LEFT MO
! = three_e_4_idx_exch13_bi_ort (j,m,k,i)
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = < m j k | -L | j i m > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = < m j k | -L | i m j > ::: notice that i is the RIGHT MO and k is the LEFT MO
! = three_e_4_idx_cycle_1_bi_ort(j,m,k,i)
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
! notice the -1 sign: in this way three_e_4_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_direct_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_direct_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_direct_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, j, i, integral)
three_e_4_idx_direct_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_direct_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
! three_e_4_idx_direct_bi_ort (m,j,k,i) : Lk Ri Imm Ijj + Lj Rj Imm Iki + Lm Rm Ijj Iki
! three_e_4_idx_exch13_bi_ort (m,j,k,i) : Lk Rm Imi Ijj + Lj Rj Imi Ikm + Lm Ri Ijj Ikm
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) : Lk Rm Imj Iji + Lj Ri Imj Ikm + Lm Rj Iji Ikm
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
integer :: ipoint, i, j, k, l, m
double precision :: wall1, wall0
double precision, allocatable :: tmp1(:,:,:,:), tmp2(:,:,:,:), tmp3(:,:,:,:)
double precision, allocatable :: tmp_4d(:,:,:,:)
double precision, allocatable :: tmp4(:,:,:)
double precision, allocatable :: tmp5(:,:)
double precision, allocatable :: tmp_3d(:,:,:)
three_e_4_idx_cycle_1_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_cycle_1_bi_ort ...'
print *, ' Providing the three_e_4_idx_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_cycle_1_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
allocate(tmp_4d(mo_num,mo_num,mo_num,mo_num))
allocate(tmp1(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp2(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp3(n_points_final_grid,3,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1, tmp2, tmp3)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, j, i, m, integral)
three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_1_bi_ort', wall1 - wall0
tmp1(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
END_PROVIDER
tmp2(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp2(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp2(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_r_in_r_array_transp(ipoint,i)
! --
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = <mjk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_cycle_2_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_cycle_2_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_cycle_2_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, m, j, integral)
three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_2_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch23_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch23_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch23_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, j, m, i, integral)
three_e_4_idx_exch23_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch23_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch13_bi_ort(m,j,k,i) = <mjk|-L|ijm> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch13_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch13_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch13_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, j, m, integral)
three_e_4_idx_exch13_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch13_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch12_bi_ort(m,j,k,i) = <mjk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch12_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch12_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, i, j, integral)
three_e_4_idx_exch12_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
tmp3(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp3(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp3(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,i) * mos_r_in_r_array_transp(ipoint,l)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1, 3*n_points_final_grid, tmp2, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_direct_bi_ort(m,j,k,i) = -tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp3, 3*n_points_final_grid, tmp1, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp1)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch13_bi_ort(m,j,k,i) = -tmp_4d(m,i,j,k)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1, 3*n_points_final_grid, tmp2, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp2)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch13_bi_ort(m,j,k,i) = three_e_4_idx_exch13_bi_ort(m,j,k,i) - tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1, 3*n_points_final_grid, tmp3, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp3)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = -tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
tmp1(ipoint,2,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
tmp1(ipoint,3,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1, 3*n_points_final_grid, int2_grad1_u12_bimo_t, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp1)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_direct_bi_ort(m,j,k,i) = three_e_4_idx_direct_bi_ort(m,j,k,i) - tmp_4d(m,j,k,i) - tmp_4d(j,m,k,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
deallocate(tmp_4d)
allocate(tmp_3d(mo_num,mo_num,mo_num))
allocate(tmp5(n_points_final_grid,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP final_weight_at_r_vector, &
!$OMP tmp5)
!$OMP DO
do i = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp5(ipoint,i) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
allocate(tmp4(n_points_final_grid,mo_num,mo_num))
do m = 1, mo_num
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, k, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, m, &
!$OMP int2_grad1_u12_bimo_t, &
!$OMP tmp4)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp4(ipoint,k,i) = int2_grad1_u12_bimo_t(ipoint,1,k,m) * int2_grad1_u12_bimo_t(ipoint,1,m,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,k,m) * int2_grad1_u12_bimo_t(ipoint,2,m,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,k,m) * int2_grad1_u12_bimo_t(ipoint,3,m,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num, mo_num*mo_num, n_points_final_grid, 1.d0 &
, tmp5, n_points_final_grid, tmp4, n_points_final_grid &
, 0.d0, tmp_3d, mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
three_e_4_idx_exch13_bi_ort(m,j,k,i) = three_e_4_idx_exch13_bi_ort(m,j,k,i) - tmp_3d(j,k,i)
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (j, k, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, m, &
!$OMP mos_l_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp4)
!$OMP DO COLLAPSE(2)
do k = 1, mo_num
do j = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp4(ipoint,j,k) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_bimo_t(ipoint,1,m,j) * int2_grad1_u12_bimo_t(ipoint,1,k,m) &
+ int2_grad1_u12_bimo_t(ipoint,2,m,j) * int2_grad1_u12_bimo_t(ipoint,2,k,m) &
+ int2_grad1_u12_bimo_t(ipoint,3,m,j) * int2_grad1_u12_bimo_t(ipoint,3,k,m) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num, n_points_final_grid, 1.d0 &
, tmp4, n_points_final_grid, mos_r_in_r_array_transp, n_points_final_grid &
, 0.d0, tmp_3d, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = three_e_4_idx_cycle_1_bi_ort(m,j,k,i) - tmp_3d(j,k,i)
enddo
enddo
enddo
!$OMP END PARALLEL DO
enddo
deallocate(tmp5)
deallocate(tmp_3d)
do i = 1, mo_num
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (m, j, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, i, &
!$OMP mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp4)
!$OMP DO COLLAPSE(2)
do j = 1, mo_num
do m = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp4(ipoint,m,j) = final_weight_at_r_vector(ipoint) * mos_r_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_bimo_t(ipoint,1,m,j) * int2_grad1_u12_bimo_t(ipoint,1,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,m,j) * int2_grad1_u12_bimo_t(ipoint,2,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,m,j) * int2_grad1_u12_bimo_t(ipoint,3,j,i) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num, n_points_final_grid, -1.d0 &
, tmp4, n_points_final_grid, mos_l_in_r_array_transp, n_points_final_grid &
, 1.d0, three_e_4_idx_cycle_1_bi_ort(1,1,1,i), mo_num*mo_num)
enddo
deallocate(tmp4)
! !$OMP PARALLEL DO PRIVATE(i,j,k,m)
! do i = 1, mo_num
! do k = 1, mo_num
! do j = 1, mo_num
! do m = 1, mo_num
! three_e_4_idx_exch12_bi_ort (m,j,k,i) = three_e_4_idx_exch13_bi_ort (j,m,k,i)
! three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = three_e_4_idx_cycle_1_bi_ort(j,m,k,i)
! enddo
! enddo
! enddo
! enddo
! !$OMP END PARALLEL DO
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch12_bi_ort', wall1 - wall0
print *, ' wall time for three_e_4_idx_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort , (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch23_bi_ort (m,j,k,i) = < m j k | -L | j m i > ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_4_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
! three_e_4_idx_exch23_bi_ort (m,j,k,i) : Lk Ri Imj Ijm + Lj Rm Imj Iki + Lm Rj Ijm Iki
!
END_DOC
implicit none
integer :: i, j, k, l, m, ipoint
double precision :: wall1, wall0
double precision, allocatable :: tmp1(:,:,:,:), tmp_4d(:,:,:,:)
double precision, allocatable :: tmp5(:,:,:), tmp6(:,:,:)
print *, ' Providing the three_e_4_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
allocate(tmp5(n_points_final_grid,mo_num,mo_num))
allocate(tmp6(n_points_final_grid,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$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 tmp5, tmp6)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp5(ipoint,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,i) * int2_grad1_u12_bimo_t(ipoint,1,i,l) &
+ int2_grad1_u12_bimo_t(ipoint,2,l,i) * int2_grad1_u12_bimo_t(ipoint,2,i,l) &
+ int2_grad1_u12_bimo_t(ipoint,3,l,i) * int2_grad1_u12_bimo_t(ipoint,3,i,l)
tmp6(ipoint,l,i) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, n_points_final_grid, -1.d0 &
, tmp5, n_points_final_grid, tmp6, n_points_final_grid &
, 0.d0, three_e_4_idx_exch23_bi_ort, mo_num*mo_num)
deallocate(tmp5)
deallocate(tmp6)
allocate(tmp_4d(mo_num,mo_num,mo_num,mo_num))
allocate(tmp1(n_points_final_grid,3,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$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 tmp1)
!$OMP DO COLLAPSE(2)