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QuantumPackage/src/bi_ort_ints/three_body_ijmkl.irp.f

347 lines
12 KiB
Fortran

! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_5_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_direct_bi_ort(m,l,j,k,i) = <mlk|-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, l
double precision :: wall1, wall0
integer :: ipoint
double precision :: weight
double precision, allocatable :: grad_mli(:,:,:), m2grad_r(:,:,:,:), m2grad_l(:,:,:,:)
double precision, allocatable :: tmp_mat(:,:,:,:), orb_mat(:,:,:)
allocate(m2grad_r(n_points_final_grid,3,mo_num,mo_num))
allocate(m2grad_l(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp_mat(mo_num,mo_num,mo_num,mo_num))
allocate(grad_mli(n_points_final_grid,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
PROVIDE mo_l_coef mo_r_coef int2_grad1_u12_bimo_t
print *, ' Providing the three_e_5_idx_direct_bi_ort ...'
call wall_time(wall0)
do m = 1, 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, &
!$OMP m2grad_r, m2grad_l, grad_mli, tmp_mat, orb_mat)
!$OMP DO COLLAPSE(2)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
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) )
m2grad_l(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)
m2grad_l(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)
m2grad_l(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)
m2grad_r(ipoint,1,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i)
m2grad_r(ipoint,2,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i)
m2grad_r(ipoint,3,l,i) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i)
orb_mat(ipoint,l,i) = 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, &
orb_mat, n_points_final_grid, &
grad_mli, n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = - tmp_mat(l,j,k,i) - tmp_mat(k,i,l,j)
three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = - tmp_mat(l,i,k,j) - tmp_mat(k,j,l,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm('T','N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0, &
m2grad_l, 3*n_points_final_grid, &
m2grad_r, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,l)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = three_e_5_idx_direct_bi_ort(m,l,j,k,i) - tmp_mat(l,j,k,i)
three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = three_e_5_idx_exch12_bi_ort(m,l,j,k,i) - tmp_mat(l,i,k,j)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
enddo
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_direct_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort, (mo_num, 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 DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = <mlk|-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
double precision :: integral
integer :: i, j, k, m, l
double precision :: wall1, wall0
integer :: ipoint
double precision :: weight
double precision, allocatable :: grad_mli(:,:,:), m2grad_r(:,:,:,:), m2grad_l(:,:,:,:)
double precision, allocatable :: tmp_mat(:,:,:,:), orb_mat(:,:,:)
allocate(m2grad_r(n_points_final_grid,3,mo_num,mo_num))
allocate(m2grad_l(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp_mat(mo_num,mo_num,mo_num,mo_num))
allocate(grad_mli(n_points_final_grid,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
PROVIDE mo_l_coef mo_r_coef int2_grad1_u12_bimo_t
print *, ' Providing the three_e_5_idx_cycle_1_bi_ort ...'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_1_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, j, i, m, integral)
three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_cycle_1_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = <mlk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
double precision :: integral
integer :: i, j, k, m, l
double precision :: wall1, wall0
integer :: ipoint
double precision :: weight
double precision, allocatable :: grad_mli(:,:,:), m2grad_r(:,:,:,:), m2grad_l(:,:,:,:)
double precision, allocatable :: tmp_mat(:,:,:,:), orb_mat(:,:,:)
allocate(m2grad_r(n_points_final_grid,3,mo_num,mo_num))
allocate(m2grad_l(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp_mat(mo_num,mo_num,mo_num,mo_num))
allocate(grad_mli(n_points_final_grid,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
PROVIDE mo_l_coef mo_r_coef int2_grad1_u12_bimo_t
print *, ' Providing the three_e_5_idx_cycle_2_bi_ort ...'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_2_bi_ort)
!$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
do l = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, m, j, integral)
three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_cycle_2_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = <mlk|-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
double precision :: integral
integer :: i, j, k, m, l
double precision :: wall1, wall0
integer :: ipoint
double precision :: weight
double precision, allocatable :: grad_mli(:,:,:), m2grad_r(:,:,:,:), m2grad_l(:,:,:,:)
double precision, allocatable :: tmp_mat(:,:,:,:), orb_mat(:,:,:)
allocate(m2grad_r(n_points_final_grid,3,mo_num,mo_num))
allocate(m2grad_l(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp_mat(mo_num,mo_num,mo_num,mo_num))
allocate(grad_mli(n_points_final_grid,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
PROVIDE mo_l_coef mo_r_coef int2_grad1_u12_bimo_t
print *, ' Providing the three_e_5_idx_exch23_bi_ort ...'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch23_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, j, m, i, integral)
three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch23_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch13_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = <mlk|-L|ijm> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
double precision :: integral
integer :: i, j, k, m, l
double precision :: wall1, wall0
integer :: ipoint
double precision :: weight
double precision, allocatable :: grad_mli(:,:,:), m2grad_r(:,:,:,:), m2grad_l(:,:,:,:)
double precision, allocatable :: tmp_mat(:,:,:,:), orb_mat(:,:,:)
allocate(m2grad_r(n_points_final_grid,3,mo_num,mo_num))
allocate(m2grad_l(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp_mat(mo_num,mo_num,mo_num,mo_num))
allocate(grad_mli(n_points_final_grid,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
PROVIDE mo_l_coef mo_r_coef int2_grad1_u12_bimo_t
print *, ' Providing the three_e_5_idx_exch13_bi_ort ...'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch13_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, j, m, integral)
three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch13_bi_ort', wall1 - wall0
END_PROVIDER
! ---