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Improve 4idx

This commit is contained in:
Abdallah Ammar 2023-06-03 22:12:30 +02:00
parent 381c98c3ca
commit 072bea8041
8 changed files with 1071 additions and 420 deletions

View File

@ -8,8 +8,9 @@ program bi_ort_ints
my_n_pt_a_grid = 14
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_5idx
! call test_5idx2
call test_4idx
end
subroutine test_5idx2
@ -145,3 +146,184 @@ 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

View File

@ -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

View File

@ -1,287 +1,467 @@
! ---
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
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_direct_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
! three_e_4_idx_direct_bi_ort (m,j,k,i) : Lk Ri Imm Ijj + Lj Rj Imm Iki + Lm Rm Ijj Iki
! three_e_4_idx_exch13_bi_ort (m,j,k,i) : Lk Rm Imi Ijj + Lj Rj Imi Ikm + Lm Ri Ijj Ikm
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) : Lk Rm Imj Iji + Lj Ri Imj Ikm + Lm Rj Iji Ikm
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
integer :: ipoint, i, j, k, l, m
double precision :: wall1, wall0
double precision, allocatable :: tmp1(:,:,:,:), tmp2(:,:,:,:), tmp3(:,:,:,:), tmp4(:,:,:,:)
double precision, allocatable :: tmp_4d(:,:,:,:)
double precision, allocatable :: tmp5(:,:,:)
double precision, allocatable :: tmp7(:,:)
double precision, allocatable :: tmp_3d(:,:,:)
three_e_4_idx_cycle_1_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_cycle_1_bi_ort ...'
print *, ' Providing the three_e_4_idx_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$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))
allocate(tmp4(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, &
!$OMP tmp1, tmp2, tmp3, tmp4)
!$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
call print_memory_usage()
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)
! --
tmp3(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)
tmp3(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)
tmp3(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)
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
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_2_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch23_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch23_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$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
call print_memory_usage()
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
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch13_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch12_bi_ort(m,j,k,i) = <mjk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch12_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$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
tmp4(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp4(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp4(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 &
, tmp4, 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
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, 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 &
, tmp3, 3*n_points_final_grid, tmp4, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp3)
deallocate(tmp4)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = -tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
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)
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(tmp7(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, &
!$OMP tmp7)
!$OMP DO
do i = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp7(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(tmp5(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 tmp5)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp5(ipoint,k,i) = int2_grad1_u12_bimo_t(ipoint,1,k,m) * int2_grad1_u12_bimo_t(ipoint,1,m,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,k,m) * int2_grad1_u12_bimo_t(ipoint,2,m,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,k,m) * int2_grad1_u12_bimo_t(ipoint,3,m,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num, mo_num*mo_num, n_points_final_grid, 1.d0 &
, tmp7, n_points_final_grid, tmp5, n_points_final_grid &
, 0.d0, tmp_3d, mo_num)
!$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 tmp5)
!$OMP DO COLLAPSE(2)
do k = 1, mo_num
do j = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp5(ipoint,j,k) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_bimo_t(ipoint,1,m,j) * int2_grad1_u12_bimo_t(ipoint,1,k,m) &
+ int2_grad1_u12_bimo_t(ipoint,2,m,j) * int2_grad1_u12_bimo_t(ipoint,2,k,m) &
+ int2_grad1_u12_bimo_t(ipoint,3,m,j) * int2_grad1_u12_bimo_t(ipoint,3,k,m) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num, n_points_final_grid, 1.d0 &
, tmp5, n_points_final_grid, mos_r_in_r_array_transp, n_points_final_grid &
, 0.d0, tmp_3d, mo_num*mo_num)
!$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
!$OMP END PARALLEL DO
enddo
deallocate(tmp7)
deallocate(tmp_3d)
do i = 1, mo_num
!$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 tmp5)
!$OMP DO COLLAPSE(2)
do j = 1, mo_num
do m = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp5(ipoint,m,j) = final_weight_at_r_vector(ipoint) * mos_r_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_bimo_t(ipoint,1,m,j) * int2_grad1_u12_bimo_t(ipoint,1,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,m,j) * int2_grad1_u12_bimo_t(ipoint,2,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,m,j) * int2_grad1_u12_bimo_t(ipoint,3,j,i) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num, n_points_final_grid, -1.d0 &
, tmp5, n_points_final_grid, mos_l_in_r_array_transp, n_points_final_grid &
, 1.d0, three_e_4_idx_cycle_1_bi_ort(1,1,1,i), mo_num*mo_num)
enddo
deallocate(tmp5)
! !$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)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,l,i) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,l)
tmp1(ipoint,2,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,l,i) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,l)
tmp1(ipoint,3,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,l,i) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,l)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1, 3*n_points_final_grid, int2_grad1_u12_bimo_t, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp1)
!$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_exch23_bi_ort(m,j,k,i) = three_e_4_idx_exch23_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)
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch23_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER

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@ -0,0 +1,290 @@
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort_old, (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_old(m,j,k,i) = <mjk|-L|mji> ::: 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_direct_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_direct_bi_ort_old ...'
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_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, j, i, integral)
three_e_4_idx_direct_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_direct_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_1_bi_ort_old(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_cycle_1_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_cycle_1_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_cycle_1_bi_ort_old)
!$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, i, m, integral)
three_e_4_idx_cycle_1_bi_ort_old(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_1_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! --
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort_old, (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_old(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_old = 0.d0
print *, ' Providing the three_e_4_idx_cycle_2_bi_ort_old ...'
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_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, m, j, integral)
three_e_4_idx_cycle_2_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_2_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch23_bi_ort_old(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch23_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_exch23_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch23_bi_ort_old)
!$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_old(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_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort_old, (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_old(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_old = 0.d0
print *, ' Providing the three_e_4_idx_exch13_bi_ort_old ...'
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_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, j, m, integral)
three_e_4_idx_exch13_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch13_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch12_bi_ort_old(m,j,k,i) = <mjk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch12_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_exch12_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch12_bi_ort_old)
!$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_old(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_exch12_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---

View File

@ -19,17 +19,17 @@ end
!
! 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, l
double precision :: wall1, wall0
integer :: ipoint
integer :: i, j, k, m, l
integer :: ipoint
double precision :: wall1, wall0
double precision, allocatable :: grad_mli(:,:,:), orb_mat(:,:,:)
double precision, allocatable :: lk_grad_mi(:,:,:,:), rk_grad_im(:,:,:,:)
double precision, allocatable :: lm_grad_ik(:,:,:,:), rm_grad_ik(:,:,:,:)
double precision, allocatable :: tmp_mat(:,:,:,:)
allocate(tmp_mat(mo_num,mo_num,mo_num,mo_num))
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
@ -38,201 +38,196 @@ end
print *, ' Providing the three_e_5_idx_bi_ort ...'
call wall_time(wall0)
do m = 1, mo_num
do m = 1, mo_num
allocate(grad_mli(n_points_final_grid,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,l,ipoint) &
!$OMP SHARED (m,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, &
!$OMP grad_mli, orb_mat)
!$OMP DO COLLAPSE(2)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
allocate(grad_mli(n_points_final_grid,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
grad_mli(ipoint,l,i) = final_weight_at_r_vector(ipoint) * ( &
int2_grad1_u12_bimo_t(ipoint,1,m,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i) + &
int2_grad1_u12_bimo_t(ipoint,2,m,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i) + &
int2_grad1_u12_bimo_t(ipoint,3,m,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i) )
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,l,ipoint) &
!$OMP SHARED (m,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, &
!$OMP grad_mli, orb_mat)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
orb_mat(ipoint,l,i) = mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,i)
grad_mli(ipoint,l,i) = final_weight_at_r_vector(ipoint) * ( &
int2_grad1_u12_bimo_t(ipoint,1,m,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i) + &
int2_grad1_u12_bimo_t(ipoint,2,m,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i) + &
int2_grad1_u12_bimo_t(ipoint,3,m,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i) )
enddo
orb_mat(ipoint,l,i) = mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP END DO
!$OMP END PARALLEL
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, n_points_final_grid, 1.d0, &
orb_mat, n_points_final_grid, &
grad_mli, n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, n_points_final_grid, 1.d0, &
orb_mat, n_points_final_grid, &
grad_mli, n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = - tmp_mat(l,j,k,i) - tmp_mat(k,i,l,j)
enddo
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP END PARALLEL DO
deallocate(orb_mat,grad_mli)
deallocate(orb_mat,grad_mli)
allocate(lm_grad_ik(n_points_final_grid,3,mo_num,mo_num))
allocate(rm_grad_ik(n_points_final_grid,3,mo_num,mo_num))
allocate(rk_grad_im(n_points_final_grid,3,mo_num,mo_num))
allocate(lm_grad_ik(n_points_final_grid,3,mo_num,mo_num))
allocate(rm_grad_ik(n_points_final_grid,3,mo_num,mo_num))
allocate(rk_grad_im(n_points_final_grid,3,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,l,ipoint) &
!$OMP SHARED (m,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, &
!$OMP rm_grad_ik, lm_grad_ik, rk_grad_im, lk_grad_mi)
!$OMP DO COLLAPSE(2)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,l,ipoint) &
!$OMP SHARED (m,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, &
!$OMP rm_grad_ik, lm_grad_ik, rk_grad_im, lk_grad_mi)
!$OMP DO COLLAPSE(2)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
lm_grad_ik(ipoint,1,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i) * final_weight_at_r_vector(ipoint)
lm_grad_ik(ipoint,2,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i) * final_weight_at_r_vector(ipoint)
lm_grad_ik(ipoint,3,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i) * final_weight_at_r_vector(ipoint)
lm_grad_ik(ipoint,1,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i) * final_weight_at_r_vector(ipoint)
lm_grad_ik(ipoint,2,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i) * final_weight_at_r_vector(ipoint)
lm_grad_ik(ipoint,3,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i) * final_weight_at_r_vector(ipoint)
rm_grad_ik(ipoint,1,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i)
rm_grad_ik(ipoint,2,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i)
rm_grad_ik(ipoint,3,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i)
rm_grad_ik(ipoint,1,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i)
rm_grad_ik(ipoint,2,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i)
rm_grad_ik(ipoint,3,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i)
rk_grad_im(ipoint,1,l,i) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,1,i,m)
rk_grad_im(ipoint,2,l,i) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,2,i,m)
rk_grad_im(ipoint,3,l,i) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,3,i,m)
enddo
rk_grad_im(ipoint,1,l,i) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,1,i,m)
rk_grad_im(ipoint,2,l,i) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,2,i,m)
rk_grad_im(ipoint,3,l,i) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,3,i,m)
enddo
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, &
lm_grad_ik, 3*n_points_final_grid, &
rm_grad_ik, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP END DO
!$OMP END PARALLEL
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0, &
lm_grad_ik, 3*n_points_final_grid, &
rm_grad_ik, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = three_e_5_idx_direct_bi_ort(m,l,j,k,i) - tmp_mat(l,j,k,i)
enddo
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0, &
lm_grad_ik, 3*n_points_final_grid, &
rk_grad_im, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
!$OMP END PARALLEL DO
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0, &
lm_grad_ik, 3*n_points_final_grid, &
rk_grad_im, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = - tmp_mat(l,i,j,k)
three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = - tmp_mat(k,j,i,l)
three_e_5_idx_exch23_bi_ort (m,l,j,k,i) = - tmp_mat(k,i,j,l)
three_e_5_idx_exch13_bi_ort (m,l,j,k,i) = - tmp_mat(l,j,i,k)
enddo
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
deallocate(lm_grad_ik)
allocate(lk_grad_mi(n_points_final_grid,3,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,l,ipoint) &
!$OMP SHARED (m,mo_num,n_points_final_grid, &
!$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 lk_grad_mi)
!$OMP DO COLLAPSE(2)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
lk_grad_mi(ipoint,1,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,1,m,i) * final_weight_at_r_vector(ipoint)
lk_grad_mi(ipoint,2,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,2,m,i) * final_weight_at_r_vector(ipoint)
lk_grad_mi(ipoint,3,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,3,m,i) * final_weight_at_r_vector(ipoint)
enddo
!$OMP END PARALLEL DO
deallocate(lm_grad_ik)
allocate(lk_grad_mi(n_points_final_grid,3,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,l,ipoint) &
!$OMP SHARED (m,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, &
!$OMP lk_grad_mi)
!$OMP DO COLLAPSE(2)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
lk_grad_mi(ipoint,1,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,1,m,i) * final_weight_at_r_vector(ipoint)
lk_grad_mi(ipoint,2,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,2,m,i) * final_weight_at_r_vector(ipoint)
lk_grad_mi(ipoint,3,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,3,m,i) * final_weight_at_r_vector(ipoint)
enddo
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, &
lk_grad_mi, 3*n_points_final_grid, &
rm_grad_ik, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
!$OMP END DO
!$OMP END PARALLEL
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0, &
lk_grad_mi, 3*n_points_final_grid, &
rm_grad_ik, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) - tmp_mat(k,j,l,i)
three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) - tmp_mat(l,i,k,j)
three_e_5_idx_exch23_bi_ort (m,l,j,k,i) = three_e_5_idx_exch23_bi_ort (m,l,j,k,i) - tmp_mat(l,j,k,i)
three_e_5_idx_exch13_bi_ort (m,l,j,k,i) = three_e_5_idx_exch13_bi_ort (m,l,j,k,i) - tmp_mat(k,i,l,j)
enddo
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0, &
lk_grad_mi, 3*n_points_final_grid, &
rk_grad_im, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
!$OMP END PARALLEL DO
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0, &
lk_grad_mi, 3*n_points_final_grid, &
rk_grad_im, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) - tmp_mat(l,j,i,k)
three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) - tmp_mat(k,i,j,l)
three_e_5_idx_exch23_bi_ort (m,l,j,k,i) = three_e_5_idx_exch23_bi_ort (m,l,j,k,i) - tmp_mat(k,j,i,l)
three_e_5_idx_exch13_bi_ort (m,l,j,k,i) = three_e_5_idx_exch13_bi_ort (m,l,j,k,i) - tmp_mat(l,i,j,k)
enddo
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
deallocate(lk_grad_mi)
deallocate(rm_grad_ik)
deallocate(rk_grad_im)
!$OMP END PARALLEL DO
deallocate(lk_grad_mi)
deallocate(rm_grad_ik)
deallocate(rk_grad_im)
enddo
deallocate(tmp_mat)
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_bi_ort', wall1 - wall0

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@ -9,8 +9,7 @@ subroutine provide_all_three_ints_bi_ortho
PROVIDE three_e_3_idx_exch23_bi_ort three_e_3_idx_exch13_bi_ort three_e_3_idx_exch12_bi_ort
endif
if(three_e_4_idx_term)then
PROVIDE three_e_4_idx_direct_bi_ort three_e_4_idx_cycle_1_bi_ort three_e_4_idx_cycle_2_bi_ort
PROVIDE three_e_4_idx_exch23_bi_ort three_e_4_idx_exch13_bi_ort three_e_4_idx_exch12_bi_ort
PROVIDE three_e_4_idx_direct_bi_ort three_e_4_idx_cycle_1_bi_ort three_e_4_idx_exch23_bi_ort three_e_4_idx_exch13_bi_ort
endif
if(.not.double_normal_ord.and.three_e_5_idx_term)then
PROVIDE three_e_5_idx_direct_bi_ort

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@ -243,7 +243,9 @@ subroutine fock_ac_tc_operator(iorb,ispin,key, h_fock,p_fock, ispin_fock,hthree,
do j = 1, nb
jj = occ(j,other_spin)
direct_int = three_e_4_idx_direct_bi_ort(jj,iorb,p_fock,h_fock) ! USES 4-IDX TENSOR
exchange_int = three_e_4_idx_exch12_bi_ort(jj,iorb,p_fock,h_fock) ! USES 4-IDX TENSOR
! TODO
! use transpose
exchange_int = three_e_4_idx_exch13_bi_ort(iorb,jj,p_fock,h_fock) ! USES 4-IDX TENSOR
hthree += direct_int - exchange_int
enddo
else !! ispin NE to ispin_fock
@ -322,7 +324,8 @@ subroutine fock_a_tc_operator(iorb,ispin,key, h_fock,p_fock, ispin_fock,hthree,N
do j = 1, nb
jj = occ(j,other_spin)
direct_int = three_e_4_idx_direct_bi_ort(jj,iorb,p_fock,h_fock) ! USES 4-IDX TENSOR
exchange_int = three_e_4_idx_exch12_bi_ort(jj,iorb,p_fock,h_fock) ! USES 4-IDX TENSOR
! TODO use transpose
exchange_int = three_e_4_idx_exch13_bi_ort(iorb,jj,p_fock,h_fock) ! USES 4-IDX TENSOR
hthree -= direct_int - exchange_int
enddo
else !! ispin NE to ispin_fock

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@ -96,9 +96,11 @@ double precision function three_e_single_parrallel_spin(m,j,k,i)
implicit none
integer, intent(in) :: i,k,j,m
three_e_single_parrallel_spin = three_e_4_idx_direct_bi_ort(m,j,k,i) ! direct
three_e_single_parrallel_spin += three_e_4_idx_cycle_1_bi_ort(m,j,k,i) + three_e_4_idx_cycle_2_bi_ort(m,j,k,i) & ! two cyclic permutations
three_e_single_parrallel_spin += three_e_4_idx_cycle_1_bi_ort(m,j,k,i) + three_e_4_idx_cycle_1_bi_ort(j,m,k,i) & ! two cyclic permutations
- three_e_4_idx_exch23_bi_ort(m,j,k,i) - three_e_4_idx_exch13_bi_ort(m,j,k,i) & ! two first exchange
- three_e_4_idx_exch12_bi_ort(m,j,k,i) ! last exchange
- three_e_4_idx_exch13_bi_ort(j,m,k,i) ! last exchange
! TODO
! use transpose
end
double precision function three_e_double_parrallel_spin(m,l,j,k,i)