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added missing bi_ort_ints

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eginer 2023-02-07 13:27:19 +01:00
parent a4bb488d64
commit 2ec8b1f34c
12 changed files with 2024 additions and 2 deletions
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4
src/bi_ort_ints/NEED Normal file
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non_h_ints_mu
ao_tc_eff_map
bi_ortho_mos
tc_keywords

25
src/bi_ort_ints/README.rst Normal file
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===========
bi_ort_ints
===========
This module contains all necessary integrals for the TC Hamiltonian in a bi-orthonormal (BO) MO Basis.
See in bi_ortho_basis for more information.
The main providers are :
One-electron integrals
----------------------
+) ao_one_e_integrals_tc_tot : total one-electron Hamiltonian which might include non hermitian part coming from one-e correlation factor.
+) mo_bi_ortho_tc_one_e : one-electron Hamiltonian (h_core+one-J terms) on the BO-MO basis.
+) mo_bi_orth_bipole_x : x-component of the dipole operator on the BO-MO basis. (Same for y,z)
Two-electron integrals
----------------------
+) ao_two_e_tc_tot : Total two-electron operator (including the non-hermitian term of the TC Hamiltonian) on the AO basis
+) mo_bi_ortho_tc_two_e : Total two-electron operator on the BO-MO basis
Three-electron integrals
------------------------
+) three_body_ints_bi_ort : 6-indices three-electron tensor (-L) on the BO-MO basis. WARNING :: N^6 storage !
+) three_e_3_idx_direct_bi_ort : DIRECT term with 3 different indices of the -L operator. These terms appear in the DIAGONAL matrix element of the -L operator. The 5 other permutations needed to compute matrix elements can be found in three_body_ijm.irp.f
+) three_e_4_idx_direct_bi_ort : DIRECT term with 4 different indices of the -L operator. These terms appear in the OFF-DIAGONAL matrix element of the -L operator including SINGLE EXCITATIONS. The 5 other permutations needed to compute matrix elements can be found in three_body_ijmk.irp.f
+) three_e_5_idx_direct_bi_ort : DIRECT term with 5 different indices of the -L operator. These terms appear in the OFF-DIAGONAL matrix element of the -L operator including DOUBLE EXCITATIONS. The 5 other permutations needed to compute matrix elements can be found in three_body_ijmkl.irp.f

44
src/bi_ort_ints/bi_ort_ints.irp.f Normal file
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program bi_ort_ints
implicit none
BEGIN_DOC
! TODO : Put the documentation of the program here
END_DOC
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
call test_3e
end
subroutine test_3e
implicit none
integer :: i,k,j,l,m,n,ipoint
double precision :: accu, contrib,new,ref
i = 1
k = 1
accu = 0.d0
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
do n = 1, mo_num
call give_integrals_3_body_bi_ort(n, l, k, m, j, i, new)
call give_integrals_3_body_bi_ort_old(n, l, k, m, j, i, ref)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. 1.d-10)then
print*,'pb !!'
print*,i,k,j,l,m,n
print*,ref,new,contrib
endif
enddo
enddo
enddo
enddo
enddo
enddo
print*,'accu = ',accu/dble(mo_num)**6
end

153
src/bi_ort_ints/biorthog_mo_for_h.irp.f Normal file
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! ---
double precision function bi_ortho_mo_coul_ints(l, k, j, i)
BEGIN_DOC
!
! < mo^L_k mo^L_l | 1/r12 | mo^R_i mo^R_j >
!
END_DOC
implicit none
integer, intent(in) :: i, j, k, l
integer :: m, n, p, q
bi_ortho_mo_coul_ints = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do q = 1, ao_num
! p1h1p2h2 l1 l2 r1 r2
bi_ortho_mo_coul_ints += ao_two_e_coul(n,q,m,p) * mo_l_coef(m,l) * mo_l_coef(n,k) * mo_r_coef(p,j) * mo_r_coef(q,i)
enddo
enddo
enddo
enddo
end function bi_ortho_mo_coul_ints
! ---
! TODO :: transform into DEGEMM
BEGIN_PROVIDER [double precision, mo_bi_ortho_coul_e_chemist, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! mo_bi_ortho_coul_e_chemist(k,i,l,j) = < k l | 1/r12 | i j > where i,j are right MOs and k,l are left MOs
!
END_DOC
implicit none
integer :: i, j, k, l, m, n, p, q
double precision, allocatable :: mo_tmp_1(:,:,:,:), mo_tmp_2(:,:,:,:)
allocate(mo_tmp_1(mo_num,ao_num,ao_num,ao_num))
mo_tmp_1 = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do q = 1, ao_num
do k = 1, mo_num
! (k n|p m) = sum_q c_qk * (q n|p m)
mo_tmp_1(k,n,p,m) += mo_l_coef_transp(k,q) * ao_two_e_coul(q,n,p,m)
enddo
enddo
enddo
enddo
enddo
allocate(mo_tmp_2(mo_num,mo_num,ao_num,ao_num))
mo_tmp_2 = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do i = 1, mo_num
do k = 1, mo_num
! (k i|p m) = sum_n c_ni * (k n|p m)
mo_tmp_2(k,i,p,m) += mo_r_coef_transp(i,n) * mo_tmp_1(k,n,p,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_1)
allocate(mo_tmp_1(mo_num,mo_num,mo_num,ao_num))
mo_tmp_1 = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do l = 1, mo_num
do i = 1, mo_num
do k = 1, mo_num
mo_tmp_1(k,i,l,m) += mo_l_coef_transp(l,p) * mo_tmp_2(k,i,p,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_2)
mo_bi_ortho_coul_e_chemist = 0.d0
do m = 1, ao_num
do j = 1, mo_num
do l = 1, mo_num
do i = 1, mo_num
do k = 1, mo_num
mo_bi_ortho_coul_e_chemist(k,i,l,j) += mo_r_coef_transp(j,m) * mo_tmp_1(k,i,l,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_1)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, mo_bi_ortho_coul_e, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! mo_bi_ortho_coul_e(k,l,i,j) = < k l | 1/r12 | i j > where i,j are right MOs and k,l are left MOs
!
END_DOC
implicit none
integer :: i, j, k, l
do j = 1, mo_num
do i = 1, mo_num
do l = 1, mo_num
do k = 1, mo_num
! < k l | V12 | i j > (k i|l j)
mo_bi_ortho_coul_e(k,l,i,j) = mo_bi_ortho_coul_e_chemist(k,i,l,j)
enddo
enddo
enddo
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, mo_bi_ortho_one_e, (mo_num, mo_num)]
BEGIN_DOC
!
! mo_bi_ortho_one_e(k,i) = < MO^L_k | h_c | MO^R_i >
!
END_DOC
implicit none
call ao_to_mo_bi_ortho(ao_one_e_integrals, ao_num, mo_bi_ortho_one_e , mo_num)
END_PROVIDER
! ---

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! ---
BEGIN_PROVIDER [double precision, ao_one_e_integrals_tc_tot, (ao_num,ao_num)]
implicit none
integer :: i, j
ao_one_e_integrals_tc_tot = ao_one_e_integrals
provide j1b_type
if( (j1b_type .eq. 1) .or. (j1b_type .eq. 2) ) then
do i = 1, ao_num
do j = 1, ao_num
ao_one_e_integrals_tc_tot(j,i) += ( j1b_gauss_hermI (j,i) &
+ j1b_gauss_hermII (j,i) &
+ j1b_gauss_nonherm(j,i) )
enddo
enddo
endif
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_one_e, (mo_num, mo_num)]
BEGIN_DOC
!
! mo_bi_ortho_tc_one_e(k,i) = <MO^L_k | h_c | MO^R_i>
!
END_DOC
implicit none
call ao_to_mo_bi_ortho(ao_one_e_integrals_tc_tot, ao_num, mo_bi_ortho_tc_one_e, mo_num)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, mo_bi_orth_bipole_x , (mo_num,mo_num)]
&BEGIN_PROVIDER [double precision, mo_bi_orth_bipole_y , (mo_num,mo_num)]
&BEGIN_PROVIDER [double precision, mo_bi_orth_bipole_z , (mo_num,mo_num)]
BEGIN_DOC
! array of the integrals of MO_i * x MO_j
! array of the integrals of MO_i * y MO_j
! array of the integrals of MO_i * z MO_j
END_DOC
implicit none
call ao_to_mo_bi_ortho( &
ao_dipole_x, &
size(ao_dipole_x,1), &
mo_bi_orth_bipole_x, &
size(mo_bi_orth_bipole_x,1) &
)
call ao_to_mo_bi_ortho( &
ao_dipole_y, &
size(ao_dipole_y,1), &
mo_bi_orth_bipole_y, &
size(mo_bi_orth_bipole_y,1) &
)
call ao_to_mo_bi_ortho( &
ao_dipole_z, &
size(ao_dipole_z,1), &
mo_bi_orth_bipole_z, &
size(mo_bi_orth_bipole_z,1) &
)
END_PROVIDER

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src/bi_ort_ints/semi_num_ints_mo.irp.f Normal file
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! ---
! TODO :: optimization : transform into a DGEMM
BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu, (mo_num, mo_num, n_points_final_grid)]
BEGIN_DOC
!
! mo_v_ki_bi_ortho_erf_rk_cst_mu(k,i,ip) = int dr chi_k(r) phi_i(r) (erf(mu |r - R_ip|) - 1 )/(2|r - R_ip|) on the BI-ORTHO MO basis
!
! where phi_k(r) is a LEFT MOs and phi_i(r) is a RIGHT MO
!
! R_ip = the "ip"-th point of the DFT Grid
!
END_DOC
implicit none
integer :: ipoint
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint) &
!$OMP SHARED (n_points_final_grid,v_ij_erf_rk_cst_mu,mo_v_ki_bi_ortho_erf_rk_cst_mu)
!$OMP DO SCHEDULE (dynamic)
do ipoint = 1, n_points_final_grid
call ao_to_mo_bi_ortho( v_ij_erf_rk_cst_mu (1,1,ipoint), size(v_ij_erf_rk_cst_mu, 1) &
, mo_v_ki_bi_ortho_erf_rk_cst_mu(1,1,ipoint), size(mo_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
enddo
!$OMP END DO
!$OMP END PARALLEL
mo_v_ki_bi_ortho_erf_rk_cst_mu = mo_v_ki_bi_ortho_erf_rk_cst_mu * 0.5d0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu_transp, (n_points_final_grid, mo_num, mo_num)]
BEGIN_DOC
!
! int dr phi_i(r) phi_j(r) (erf(mu(R) |r - R|) - 1)/(2|r - R|) on the BI-ORTHO MO basis
!
END_DOC
implicit none
integer :: ipoint, i, j
do i = 1, mo_num
do j = 1, mo_num
do ipoint = 1, n_points_final_grid
mo_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,j,i) = mo_v_ki_bi_ortho_erf_rk_cst_mu(j,i,ipoint)
enddo
enddo
enddo
! FREE mo_v_ki_bi_ortho_erf_rk_cst_mu
END_PROVIDER
! ---
! TODO :: optimization : transform into a DGEMM
BEGIN_PROVIDER [ double precision, mo_x_v_ki_bi_ortho_erf_rk_cst_mu, (mo_num, mo_num, 3, n_points_final_grid)]
BEGIN_DOC
!
! mo_x_v_ki_bi_ortho_erf_rk_cst_mu(k,i,m,ip) = int dr x(m) * chi_k(r) phi_i(r) (erf(mu |r - R_ip|) - 1)/2|r - R_ip| on the BI-ORTHO MO basis
!
! where chi_k(r)/phi_i(r) are left/right MOs, m=1 => x(m) = x, m=2 => x(m) = y, m=3 => x(m) = z,
!
! R_ip = the "ip"-th point of the DFT Grid
!
END_DOC
implicit none
integer :: ipoint
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint) &
!$OMP SHARED (n_points_final_grid,x_v_ij_erf_rk_cst_mu_transp,mo_x_v_ki_bi_ortho_erf_rk_cst_mu)
!$OMP DO SCHEDULE (dynamic)
do ipoint = 1, n_points_final_grid
call ao_to_mo_bi_ortho( x_v_ij_erf_rk_cst_mu_transp (1,1,1,ipoint), size(x_v_ij_erf_rk_cst_mu_transp, 1) &
, mo_x_v_ki_bi_ortho_erf_rk_cst_mu(1,1,1,ipoint), size(mo_x_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
call ao_to_mo_bi_ortho( x_v_ij_erf_rk_cst_mu_transp (1,1,2,ipoint), size(x_v_ij_erf_rk_cst_mu_transp, 1) &
, mo_x_v_ki_bi_ortho_erf_rk_cst_mu(1,1,2,ipoint), size(mo_x_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
call ao_to_mo_bi_ortho( x_v_ij_erf_rk_cst_mu_transp (1,1,3,ipoint), size(x_v_ij_erf_rk_cst_mu_transp, 1) &
, mo_x_v_ki_bi_ortho_erf_rk_cst_mu(1,1,3,ipoint), size(mo_x_v_ki_bi_ortho_erf_rk_cst_mu, 1) )
enddo
!$OMP END DO
!$OMP END PARALLEL
mo_x_v_ki_bi_ortho_erf_rk_cst_mu = 0.5d0 * mo_x_v_ki_bi_ortho_erf_rk_cst_mu
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3, n_points_final_grid)]
implicit none
integer :: i, j, ipoint
double precision :: wall0, wall1
print *, ' providing int2_grad1_u12_ao_transp ...'
call wall_time(wall0)
if(test_cycle_tc)then
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, ao_num
int2_grad1_u12_ao_transp(j,i,1,ipoint) = int2_grad1_u12_ao_test(j,i,ipoint,1)
int2_grad1_u12_ao_transp(j,i,2,ipoint) = int2_grad1_u12_ao_test(j,i,ipoint,2)
int2_grad1_u12_ao_transp(j,i,3,ipoint) = int2_grad1_u12_ao_test(j,i,ipoint,3)
enddo
enddo
enddo
else
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, ao_num
int2_grad1_u12_ao_transp(j,i,1,ipoint) = int2_grad1_u12_ao(j,i,ipoint,1)
int2_grad1_u12_ao_transp(j,i,2,ipoint) = int2_grad1_u12_ao(j,i,ipoint,2)
int2_grad1_u12_ao_transp(j,i,3,ipoint) = int2_grad1_u12_ao(j,i,ipoint,3)
enddo
enddo
enddo
endif
call wall_time(wall1)
print *, ' wall time for int2_grad1_u12_ao_transp ', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_transp, (mo_num, mo_num, 3, n_points_final_grid)]
implicit none
integer :: ipoint
double precision :: wall0, wall1
!print *, ' providing int2_grad1_u12_bimo_transp'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint) &
!$OMP SHARED (n_points_final_grid,int2_grad1_u12_ao_transp,int2_grad1_u12_bimo_transp)
!$OMP DO SCHEDULE (dynamic)
do ipoint = 1, n_points_final_grid
call ao_to_mo_bi_ortho( int2_grad1_u12_ao_transp (1,1,1,ipoint), size(int2_grad1_u12_ao_transp , 1) &
, int2_grad1_u12_bimo_transp(1,1,1,ipoint), size(int2_grad1_u12_bimo_transp, 1) )
call ao_to_mo_bi_ortho( int2_grad1_u12_ao_transp (1,1,2,ipoint), size(int2_grad1_u12_ao_transp , 1) &
, int2_grad1_u12_bimo_transp(1,1,2,ipoint), size(int2_grad1_u12_bimo_transp, 1) )
call ao_to_mo_bi_ortho( int2_grad1_u12_ao_transp (1,1,3,ipoint), size(int2_grad1_u12_ao_transp , 1) &
, int2_grad1_u12_bimo_transp(1,1,3,ipoint), size(int2_grad1_u12_bimo_transp, 1) )
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
!print *, ' Wall time for providing int2_grad1_u12_bimo_transp',wall1 - wall0
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
do ipoint = 1, n_points_final_grid
do i = 1, mo_num
do j = 1, mo_num
int2_grad1_u12_bimo_t(ipoint,1,j,i) = int2_grad1_u12_bimo_transp(j,i,1,ipoint)
int2_grad1_u12_bimo_t(ipoint,2,j,i) = int2_grad1_u12_bimo_transp(j,i,2,ipoint)
int2_grad1_u12_bimo_t(ipoint,3,j,i) = int2_grad1_u12_bimo_transp(j,i,3,ipoint)
enddo
enddo
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_t, (n_points_final_grid, 3, ao_num, ao_num)]
implicit none
integer :: i, j, ipoint
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, ao_num
int2_grad1_u12_ao_t(ipoint,1,j,i) = int2_grad1_u12_ao(j,i,ipoint,1)
int2_grad1_u12_ao_t(ipoint,2,j,i) = int2_grad1_u12_ao(j,i,ipoint,2)
int2_grad1_u12_ao_t(ipoint,3,j,i) = int2_grad1_u12_ao(j,i,ipoint,3)
enddo
enddo
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp, (n_points_final_grid, 3, mo_num, mo_num)]
implicit none
integer :: i, j, ipoint
do i = 1, mo_num
do j = 1, mo_num
do ipoint = 1, n_points_final_grid
mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,1,j,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu(j,i,1,ipoint)
mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,2,j,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu(j,i,2,ipoint)
mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,3,j,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu(j,i,3,ipoint)
enddo
enddo
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, x_W_ki_bi_ortho_erf_rk, (n_points_final_grid, 3, mo_num, mo_num)]
BEGIN_DOC
!
! x_W_ki_bi_ortho_erf_rk(ip,m,k,i) = \int dr chi_k(r) \frac{(1 - erf(mu |r-R_ip|))}{2|r-R_ip|} (x(m)-R_ip(m)) phi_i(r) ON THE BI-ORTHO MO BASIS
!
! where chi_k(r)/phi_i(r) are left/right MOs, m=1 => X(m) = x, m=2 => X(m) = y, m=3 => X(m) = z,
!
! R_ip = the "ip"-th point of the DFT Grid
END_DOC
implicit none
include 'constants.include.F'
integer :: ipoint, m, i, k
double precision :: xyz
double precision :: wall0, wall1
print*, ' providing x_W_ki_bi_ortho_erf_rk ...'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint,m,i,k,xyz) &
!$OMP SHARED (x_W_ki_bi_ortho_erf_rk,n_points_final_grid,mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp,mo_v_ki_bi_ortho_erf_rk_cst_mu_transp,mo_num,final_grid_points)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do k = 1, mo_num
do m = 1, 3
do ipoint = 1, n_points_final_grid
xyz = final_grid_points(m,ipoint)
x_W_ki_bi_ortho_erf_rk(ipoint,m,k,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,m,k,i) - xyz * mo_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,k,i)
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! FREE mo_v_ki_bi_ortho_erf_rk_cst_mu_transp
! FREE mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp
call wall_time(wall1)
print *, ' time to provide x_W_ki_bi_ortho_erf_rk = ', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, x_W_ki_bi_ortho_erf_rk_diag, (n_points_final_grid, 3, mo_num)]
BEGIN_DOC
! x_W_ki_bi_ortho_erf_rk_diag(ip,m,i) = \int dr chi_i(r) (1 - erf(mu |r-R_ip|)) (x(m)-X(m)_ip) phi_i(r) ON THE BI-ORTHO MO BASIS
!
! where chi_k(r)/phi_i(r) are left/right MOs, m=1 => X(m) = x, m=2 => X(m) = y, m=3 => X(m) = z,
!
! R_ip = the "ip"-th point of the DFT Grid
END_DOC
implicit none
include 'constants.include.F'
integer :: ipoint, m, i
double precision :: xyz
double precision :: wall0, wall1
print*,'providing x_W_ki_bi_ortho_erf_rk_diag ...'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint,m,i,xyz) &
!$OMP SHARED (x_W_ki_bi_ortho_erf_rk_diag,n_points_final_grid,mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp,mo_v_ki_bi_ortho_erf_rk_cst_mu_transp,mo_num,final_grid_points)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do m = 1, 3
do ipoint = 1, n_points_final_grid
xyz = final_grid_points(m,ipoint)
x_W_ki_bi_ortho_erf_rk_diag(ipoint,m,i) = mo_x_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,m,i,i) - xyz * mo_v_ki_bi_ortho_erf_rk_cst_mu_transp(ipoint,i,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print*,'time to provide x_W_ki_bi_ortho_erf_rk_diag = ',wall1 - wall0
END_PROVIDER
! ---

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! ---
BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the direct terms
!
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|mji>
!
! 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, m
double precision :: integral, wall1, wall0
three_e_3_idx_direct_bi_ort = 0.d0
print *, ' Providing the three_e_3_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) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_direct_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = j, mo_num
call give_integrals_3_body_bi_ort(m, j, i, m, j, i, integral)
three_e_3_idx_direct_bi_ort(m,j,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do i = 1, mo_num
do j = 1, mo_num
do m = 1, j
three_e_3_idx_direct_bi_ort(m,j,i) = three_e_3_idx_direct_bi_ort(j,m,i)
enddo
enddo
enddo
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_direct_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the first cyclic permutation
!
! three_e_3_idx_cycle_1_bi_ort(m,j,i) = <mji|-L|jim>
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, m
double precision :: integral, wall1, wall0
three_e_3_idx_cycle_1_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_cycle_1_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_cycle_1_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = j, mo_num
call give_integrals_3_body_bi_ort(m, j, i, j, i, m, integral)
three_e_3_idx_cycle_1_bi_ort(m,j,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do i = 1, mo_num
do j = 1, mo_num
do m = 1, j
three_e_3_idx_cycle_1_bi_ort(m,j,i) = three_e_3_idx_cycle_1_bi_ort(j,m,i)
enddo
enddo
enddo
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_cycle_1_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the second cyclic permutation
!
! three_e_3_idx_direct_bi_ort(m,j,i) = <mji|-L|imj>
!
! 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, m
double precision :: integral, wall1, wall0
three_e_3_idx_cycle_2_bi_ort = 0.d0
print *, ' Providing the three_e_3_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) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_cycle_2_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = j, mo_num
call give_integrals_3_body_bi_ort(m, j, i, i, m, j, integral)
three_e_3_idx_cycle_2_bi_ort(m,j,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do i = 1, mo_num
do j = 1, mo_num
do m = 1, j
three_e_3_idx_cycle_2_bi_ort(m,j,i) = three_e_3_idx_cycle_2_bi_ort(j,m,i)
enddo
enddo
enddo
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_cycle_2_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 2 and 3
!
! three_e_3_idx_exch23_bi_ort(m,j,i) = <mji|-L|jmi>
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, m
double precision :: integral, wall1, wall0
three_e_3_idx_exch23_bi_ort = 0.d0
print*,'Providing the three_e_3_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_exch23_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = j, mo_num
call give_integrals_3_body_bi_ort(m, j, i, j, m, i, integral)
three_e_3_idx_exch23_bi_ort(m,j,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do i = 1, mo_num
do j = 1, mo_num
do m = 1, j
three_e_3_idx_exch23_bi_ort(m,j,i) = three_e_3_idx_exch23_bi_ort(j,m,i)
enddo
enddo
enddo
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch23_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 3
!
! three_e_3_idx_exch13_bi_ort(m,j,i) = <mji|-L|ijm>
!
! 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,m
double precision :: integral, wall1, wall0
three_e_3_idx_exch13_bi_ort = 0.d0
print *, ' Providing the three_e_3_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) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_exch13_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = j, mo_num
call give_integrals_3_body_bi_ort(m, j, i, i, j, m,integral)
three_e_3_idx_exch13_bi_ort(m,j,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do i = 1, mo_num
do j = 1, mo_num
do m = 1, j
three_e_3_idx_exch13_bi_ort(m,j,i) = three_e_3_idx_exch13_bi_ort(j,m,i)
enddo
enddo
enddo
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch13_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort, (mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 2
!
! three_e_3_idx_exch12_bi_ort(m,j,i) = <mji|-L|mij>
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, m
double precision :: integral, wall1, wall0
three_e_3_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_exch12_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_exch12_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, i, m, i, j, integral)
three_e_3_idx_exch12_bi_ort(m,j,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch12_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort_new, (mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator ON A BI ORTHONORMAL BASIS for the permutations of particle 1 and 2
!
! three_e_3_idx_exch12_bi_ort_new(m,j,i) = <mji|-L|mij>
!
! 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, m
double precision :: integral, wall1, wall0
three_e_3_idx_exch12_bi_ort_new = 0.d0
print *, ' Providing the three_e_3_idx_exch12_bi_ort_new ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
!$OMP SHARED (mo_num,three_e_3_idx_exch12_bi_ort_new)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = j, mo_num
call give_integrals_3_body_bi_ort(m, j, i, m, i, j, integral)
three_e_3_idx_exch12_bi_ort_new(m,j,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do i = 1, mo_num
do j = 1, mo_num
do m = 1, j
three_e_3_idx_exch12_bi_ort_new(m,j,i) = three_e_3_idx_exch12_bi_ort_new(j,m,i)
enddo
enddo
enddo
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch12_bi_ort_new', wall1 - wall0
END_PROVIDER
! ---

284
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! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_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
!
! 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 = 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)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, j, i, integral)
three_e_4_idx_direct_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_direct_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_cycle_1_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_cycle_1_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$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)
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
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_1_bi_ort', wall1 - wall0
END_PROVIDER
! --
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)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, m, j, integral)
three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$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)
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)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, j, m, integral)
three_e_4_idx_exch13_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$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)
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
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch12_bi_ort', wall1 - wall0
END_PROVIDER
! ---

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! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_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 :: integral, wall1, wall0
three_e_5_idx_direct_bi_ort = 0.d0
print *, ' Providing the three_e_5_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) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_direct_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, m, j, i, integral)
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_direct_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = <mlk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_cycle_1_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_cycle_1_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_1_bi_ort)
!$OMP DO SCHEDULE (dynamic)
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
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_cycle_2_bi_ort = 0.d0
print *, ' Providing the three_e_5_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) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_2_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
do l = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, m, j, integral)
three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_cycle_2_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch23_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch23_bi_ort)
!$OMP DO SCHEDULE (dynamic)
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
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch13_bi_ort = 0.d0
print *, ' Providing the three_e_5_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) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch13_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, j, m, integral)
three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch13_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = <mlk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_exch12_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch12_bi_ort)
!$OMP DO SCHEDULE (dynamic)
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, m, i, j, integral)
three_e_5_idx_exch12_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_exch12_bi_ort', wall1 - wall0
END_PROVIDER
! ---

207
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! ---
BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
! matrix element of the -L three-body operator
!
! notice the -1 sign: in this way three_body_ints_bi_ort can be directly used to compute Slater rules :)
END_DOC
implicit none
integer :: i, j, k, l, m, n
double precision :: integral, wall1, wall0
character*(128) :: name_file
three_body_ints_bi_ort = 0.d0
print *, ' Providing the three_body_ints_bi_ort ...'
call wall_time(wall0)
name_file = 'six_index_tensor'
! if(read_three_body_ints_bi_ort)then
! call read_fcidump_3_tc(three_body_ints_bi_ort)
! else
! if(read_three_body_ints_bi_ort)then
! print*,'Reading three_body_ints_bi_ort from disk ...'
! call read_array_6_index_tensor(mo_num,three_body_ints_bi_ort,name_file)
! else
!provide x_W_ki_bi_ortho_erf_rk
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,l,m,n,integral) &
!$OMP SHARED (mo_num,three_body_ints_bi_ort)
!$OMP DO SCHEDULE (dynamic)
do i = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
do n = 1, mo_num
call give_integrals_3_body_bi_ort(n, l, k, m, j, i, integral)
three_body_ints_bi_ort(n,l,k,m,j,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! endif
! endif
call wall_time(wall1)
print *, ' wall time for three_body_ints_bi_ort', wall1 - wall0
! if(write_three_body_ints_bi_ort)then
! print*,'Writing three_body_ints_bi_ort on disk ...'
! call write_array_6_index_tensor(mo_num,three_body_ints_bi_ort,name_file)
! call ezfio_set_three_body_ints_bi_ort_io_three_body_ints_bi_ort("Read")
! endif
END_PROVIDER
! ---
subroutine give_integrals_3_body_bi_ort(n, l, k, m, j, i, integral)
BEGIN_DOC
!
! < n l k | -L | m j i > with a BI-ORTHONORMAL MOLECULAR ORBITALS
!
END_DOC
implicit none
integer, intent(in) :: n, l, k, m, j, i
double precision, intent(out) :: integral
integer :: ipoint
double precision :: weight
integral = 0.d0
do ipoint = 1, n_points_final_grid
weight = final_weight_at_r_vector(ipoint)
integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
* ( int2_grad1_u12_bimo_t(ipoint,1,n,m) * int2_grad1_u12_bimo_t(ipoint,1,l,j) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,m) * int2_grad1_u12_bimo_t(ipoint,2,l,j) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,m) * int2_grad1_u12_bimo_t(ipoint,3,l,j) )
integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_bimo_t(ipoint,1,n,m) * int2_grad1_u12_bimo_t(ipoint,1,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,m) * int2_grad1_u12_bimo_t(ipoint,2,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,m) * int2_grad1_u12_bimo_t(ipoint,3,k,i) )
integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_bimo_t(ipoint,1,l,j) * int2_grad1_u12_bimo_t(ipoint,1,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,l,j) * int2_grad1_u12_bimo_t(ipoint,2,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,l,j) * int2_grad1_u12_bimo_t(ipoint,3,k,i) )
enddo
end subroutine give_integrals_3_body_bi_ort
! ---
subroutine give_integrals_3_body_bi_ort_old(n, l, k, m, j, i, integral)
BEGIN_DOC
!
! < n l k | -L | m j i > with a BI-ORTHONORMAL MOLECULAR ORBITALS
!
END_DOC
implicit none
integer, intent(in) :: n, l, k, m, j, i
double precision, intent(out) :: integral
integer :: ipoint
double precision :: weight
integral = 0.d0
do ipoint = 1, n_points_final_grid
weight = final_weight_at_r_vector(ipoint)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,1,l,j) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,2,l,j) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,3,l,j) )
! integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,1,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,2,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,3,k,i) )
! integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,1,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,2,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,3,k,i) )
! integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
! * ( int2_grad1_u12_bimo(1,n,m,ipoint) * int2_grad1_u12_bimo(1,l,j,ipoint) &
! + int2_grad1_u12_bimo(2,n,m,ipoint) * int2_grad1_u12_bimo(2,l,j,ipoint) &
! + int2_grad1_u12_bimo(3,n,m,ipoint) * int2_grad1_u12_bimo(3,l,j,ipoint) )
! integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
! * ( int2_grad1_u12_bimo(1,n,m,ipoint) * int2_grad1_u12_bimo(1,k,i,ipoint) &
! + int2_grad1_u12_bimo(2,n,m,ipoint) * int2_grad1_u12_bimo(2,k,i,ipoint) &
! + int2_grad1_u12_bimo(3,n,m,ipoint) * int2_grad1_u12_bimo(3,k,i,ipoint) )
! integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
! * ( int2_grad1_u12_bimo(1,l,j,ipoint) * int2_grad1_u12_bimo(1,k,i,ipoint) &
! + int2_grad1_u12_bimo(2,l,j,ipoint) * int2_grad1_u12_bimo(2,k,i,ipoint) &
! + int2_grad1_u12_bimo(3,l,j,ipoint) * int2_grad1_u12_bimo(3,k,i,ipoint) )
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
* ( int2_grad1_u12_bimo_transp(n,m,1,ipoint) * int2_grad1_u12_bimo_transp(l,j,1,ipoint) &
+ int2_grad1_u12_bimo_transp(n,m,2,ipoint) * int2_grad1_u12_bimo_transp(l,j,2,ipoint) &
+ int2_grad1_u12_bimo_transp(n,m,3,ipoint) * int2_grad1_u12_bimo_transp(l,j,3,ipoint) )
integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_bimo_transp(n,m,1,ipoint) * int2_grad1_u12_bimo_transp(k,i,1,ipoint) &
+ int2_grad1_u12_bimo_transp(n,m,2,ipoint) * int2_grad1_u12_bimo_transp(k,i,2,ipoint) &
+ int2_grad1_u12_bimo_transp(n,m,3,ipoint) * int2_grad1_u12_bimo_transp(k,i,3,ipoint) )
integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_bimo_transp(l,j,1,ipoint) * int2_grad1_u12_bimo_transp(k,i,1,ipoint) &
+ int2_grad1_u12_bimo_transp(l,j,2,ipoint) * int2_grad1_u12_bimo_transp(k,i,2,ipoint) &
+ int2_grad1_u12_bimo_transp(l,j,3,ipoint) * int2_grad1_u12_bimo_transp(k,i,3,ipoint) )
enddo
end subroutine give_integrals_3_body_bi_ort_old
! ---
subroutine give_integrals_3_body_bi_ort_ao(n, l, k, m, j, i, integral)
BEGIN_DOC
!
! < n l k | -L | m j i > with a BI-ORTHONORMAL ATOMIC ORBITALS
!
END_DOC
implicit none
integer, intent(in) :: n, l, k, m, j, i
double precision, intent(out) :: integral
integer :: ipoint
double precision :: weight
integral = 0.d0
do ipoint = 1, n_points_final_grid
weight = final_weight_at_r_vector(ipoint)
integral += weight * aos_in_r_array_transp(ipoint,k) * aos_in_r_array_transp(ipoint,i) &
* ( int2_grad1_u12_ao_t(ipoint,1,n,m) * int2_grad1_u12_ao_t(ipoint,1,l,j) &
+ int2_grad1_u12_ao_t(ipoint,2,n,m) * int2_grad1_u12_ao_t(ipoint,2,l,j) &
+ int2_grad1_u12_ao_t(ipoint,3,n,m) * int2_grad1_u12_ao_t(ipoint,3,l,j) )
integral += weight * aos_in_r_array_transp(ipoint,l) * aos_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_ao_t(ipoint,1,n,m) * int2_grad1_u12_ao_t(ipoint,1,k,i) &
+ int2_grad1_u12_ao_t(ipoint,2,n,m) * int2_grad1_u12_ao_t(ipoint,2,k,i) &
+ int2_grad1_u12_ao_t(ipoint,3,n,m) * int2_grad1_u12_ao_t(ipoint,3,k,i) )
integral += weight * aos_in_r_array_transp(ipoint,n) * aos_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_ao_t(ipoint,1,l,j) * int2_grad1_u12_ao_t(ipoint,1,k,i) &
+ int2_grad1_u12_ao_t(ipoint,2,l,j) * int2_grad1_u12_ao_t(ipoint,2,k,i) &
+ int2_grad1_u12_ao_t(ipoint,3,l,j) * int2_grad1_u12_ao_t(ipoint,3,k,i) )
enddo
end subroutine give_integrals_3_body_bi_ort_ao
! ---

250
src/bi_ort_ints/total_twoe_pot.irp.f Normal file
View File

@ -0,0 +1,250 @@
! ---
BEGIN_PROVIDER [double precision, ao_two_e_tc_tot, (ao_num, ao_num, ao_num, ao_num) ]
BEGIN_DOC
!
! ao_two_e_tc_tot(k,i,l,j) = (ki|V^TC(r_12)|lj) = <lk| V^TC(r_12) |ji> where V^TC(r_12) is the total TC operator
!
! including both hermitian and non hermitian parts. THIS IS IN CHEMIST NOTATION.
!
! WARNING :: non hermitian ! acts on "the right functions" (i,j)
!
END_DOC
integer :: i, j, k, l
double precision :: integral_sym, integral_nsym
double precision, external :: get_ao_tc_sym_two_e_pot
provide j1b_type
if(j1b_type .eq. 3) then
do j = 1, ao_num
do l = 1, ao_num
do i = 1, ao_num
do k = 1, ao_num
ao_two_e_tc_tot(k,i,l,j) = ao_tc_int_chemist(k,i,l,j)
!write(222,*) ao_two_e_tc_tot(k,i,l,j)
enddo
enddo
enddo
enddo
else
PROVIDE ao_tc_sym_two_e_pot_in_map
do j = 1, ao_num
do l = 1, ao_num
do i = 1, ao_num
do k = 1, ao_num
integral_sym = get_ao_tc_sym_two_e_pot(i, j, k, l, ao_tc_sym_two_e_pot_map)
! ao_non_hermit_term_chemist(k,i,l,j) = < k l | [erf( mu r12) - 1] d/d_r12 | i j > on the AO basis
integral_nsym = ao_non_hermit_term_chemist(k,i,l,j)
!print *, ' sym integ = ', integral_sym
!print *, ' non-sym integ = ', integral_nsym
ao_two_e_tc_tot(k,i,l,j) = integral_sym + integral_nsym
!write(111,*) ao_two_e_tc_tot(k,i,l,j)
enddo
enddo
enddo
enddo
endif
END_PROVIDER
! ---
double precision function bi_ortho_mo_ints(l, k, j, i)
BEGIN_DOC
!
! <mo^L_k mo^L_l | V^TC(r_12) | mo^R_i mo^R_j>
!
! WARNING :: very naive, super slow, only used to DEBUG.
!
END_DOC
implicit none
integer, intent(in) :: i, j, k, l
integer :: m, n, p, q
bi_ortho_mo_ints = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do q = 1, ao_num
! p1h1p2h2 l1 l2 r1 r2
bi_ortho_mo_ints += ao_two_e_tc_tot(n,q,m,p) * mo_l_coef(m,l) * mo_l_coef(n,k) * mo_r_coef(p,j) * mo_r_coef(q,i)
enddo
enddo
enddo
enddo
end function bi_ortho_mo_ints
! ---
! TODO :: transform into DEGEMM
BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! mo_bi_ortho_tc_two_e_chemist(k,i,l,j) = <k l|V(r_12)|i j> where i,j are right MOs and k,l are left MOs
!
END_DOC
implicit none
integer :: i, j, k, l, m, n, p, q
double precision, allocatable :: mo_tmp_1(:,:,:,:), mo_tmp_2(:,:,:,:)
allocate(mo_tmp_1(mo_num,ao_num,ao_num,ao_num))
mo_tmp_1 = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do q = 1, ao_num
do k = 1, mo_num
! (k n|p m) = sum_q c_qk * (q n|p m)
mo_tmp_1(k,n,p,m) += mo_l_coef_transp(k,q) * ao_two_e_tc_tot(q,n,p,m)
enddo
enddo
enddo
enddo
enddo
allocate(mo_tmp_2(mo_num,mo_num,ao_num,ao_num))
mo_tmp_2 = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do i = 1, mo_num
do k = 1, mo_num
! (k i|p m) = sum_n c_ni * (k n|p m)
mo_tmp_2(k,i,p,m) += mo_r_coef_transp(i,n) * mo_tmp_1(k,n,p,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_1)
allocate(mo_tmp_1(mo_num,mo_num,mo_num,ao_num))
mo_tmp_1 = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do l = 1, mo_num
do i = 1, mo_num
do k = 1, mo_num
mo_tmp_1(k,i,l,m) += mo_l_coef_transp(l,p) * mo_tmp_2(k,i,p,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_2)
mo_bi_ortho_tc_two_e_chemist = 0.d0
do m = 1, ao_num
do j = 1, mo_num
do l = 1, mo_num
do i = 1, mo_num
do k = 1, mo_num
mo_bi_ortho_tc_two_e_chemist(k,i,l,j) += mo_r_coef_transp(j,m) * mo_tmp_1(k,i,l,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_1)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! mo_bi_ortho_tc_two_e(k,l,i,j) = <k l| V(r_12) |i j> where i,j are right MOs and k,l are left MOs
!
! the potential V(r_12) contains ALL TWO-E CONTRIBUTION OF THE TC-HAMILTONIAN
!
END_DOC
implicit none
integer :: i, j, k, l
do j = 1, mo_num
do i = 1, mo_num
do l = 1, mo_num
do k = 1, mo_num
! < k l | V12 | i j > (k i|l j)
mo_bi_ortho_tc_two_e(k,l,i,j) = mo_bi_ortho_tc_two_e_chemist(k,i,l,j)
enddo
enddo
enddo
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj, (mo_num,mo_num) ]
&BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj_exchange, (mo_num,mo_num) ]
&BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj_anti, (mo_num,mo_num) ]
implicit none
BEGIN_DOC
! mo_bi_ortho_tc_two_e_jj(i,j) = J_ij = <ji|W-K|ji>
! mo_bi_ortho_tc_two_e_jj_exchange(i,j) = K_ij = <ij|W-K|ji>
! mo_bi_ortho_tc_two_e_jj_anti(i,j) = J_ij - K_ij
END_DOC
integer :: i,j
double precision :: get_two_e_integral
mo_bi_ortho_tc_two_e_jj = 0.d0
mo_bi_ortho_tc_two_e_jj_exchange = 0.d0
do i=1,mo_num
do j=1,mo_num
mo_bi_ortho_tc_two_e_jj(i,j) = mo_bi_ortho_tc_two_e(j,i,j,i)
mo_bi_ortho_tc_two_e_jj_exchange(i,j) = mo_bi_ortho_tc_two_e(i,j,j,i)
mo_bi_ortho_tc_two_e_jj_anti(i,j) = mo_bi_ortho_tc_two_e_jj(i,j) - mo_bi_ortho_tc_two_e_jj_exchange(i,j)
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [double precision, tc_2e_3idx_coulomb_integrals, (mo_num,mo_num, mo_num)]
&BEGIN_PROVIDER [double precision, tc_2e_3idx_exchange_integrals,(mo_num,mo_num, mo_num)]
implicit none
BEGIN_DOC
! tc_2e_3idx_coulomb_integrals(j,k,i) = <jk|ji>
!
! tc_2e_3idx_exchange_integrals(j,k,i) = <kj|ji>
END_DOC
integer :: i,j,k,l
double precision :: get_two_e_integral
double precision :: integral
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
tc_2e_3idx_coulomb_integrals(j, k,i) = mo_bi_ortho_tc_two_e(j ,k ,j ,i )
tc_2e_3idx_exchange_integrals(j,k,i) = mo_bi_ortho_tc_two_e(k ,j ,j ,i )
enddo
enddo
enddo
END_PROVIDER

4
src/tc_scf/test_Ne.sh
View File

@ -2,12 +2,12 @@ QP_ROOT=/home/eginer/new_qp2/qp2
source ${QP_ROOT}/quantum_package.rc
echo Ne > Ne.xyz
echo $QP_ROOT
qp create_ezfio -b cc-pcvdz Ne.xyz
qp create_ezfio -b cc-pcvdz Ne.xyz -o Ne_tc_scf
qp run scf
qp set tc_keywords bi_ortho True
qp set ao_two_e_erf_ints mu_erf 0.87
qp set tc_keywords j1b_pen [1.5]
qp set tc_keywords j1b_type 3
qp run tc_scf | tee Ne.ezfio.tc_scf.out
qp run tc_scf | tee ${EZFIO_FILE}.tc_scf.out
grep "TC energy =" Ne.ezfio.tc_scf.out | tail -1
eref=-128.552134