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mirror of https://github.com/QuantumPackage/qp2.git synced 2024-10-05 15:45:57 +02:00

Merge branch 'dev-stable' of github.com:QuantumPackage/qp2 into dev-stable

This commit is contained in:
Anthony Scemama 2023-07-03 13:53:20 +02:00
commit f30ed6bf43
89 changed files with 5333 additions and 1541 deletions

2
external/ezfio vendored

@ -1 +1 @@
Subproject commit d5805497fa0ef30e70e055cde1ecec2963303e93
Subproject commit 0520b5e2cf70e2451c37ce5b7f2f64f6d2e5e956

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@ -65,46 +65,60 @@ double precision function primitive_value(i,j,r)
end
! ---
subroutine give_all_aos_at_r(r,aos_array)
implicit none
BEGIN_dOC
! input : r == r(1) = x and so on
!
! output : aos_array(i) = aos(i) evaluated in $\textbf{r}$
END_DOC
double precision, intent(in) :: r(3)
double precision, intent(out):: aos_array(ao_num)
subroutine give_all_aos_at_r(r, tmp_array)
integer :: power_ao(3)
integer :: i,j,k,l,m
double precision :: dx,dy,dz,r2
double precision :: dx2,dy2,dz2
double precision :: center_ao(3)
double precision :: beta
do i = 1, nucl_num
center_ao(1:3) = nucl_coord(i,1:3)
dx = (r(1) - center_ao(1))
dy = (r(2) - center_ao(2))
dz = (r(3) - center_ao(3))
r2 = dx*dx + dy*dy + dz*dz
do j = 1,Nucl_N_Aos(i)
k = Nucl_Aos_transposed(j,i) ! index of the ao in the ordered format
aos_array(k) = 0.d0
power_ao(1:3)= ao_power_ordered_transp_per_nucl(1:3,j,i)
dx2 = dx**power_ao(1)
dy2 = dy**power_ao(2)
dz2 = dz**power_ao(3)
do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i)
if(dabs(beta*r2).gt.40.d0)cycle
aos_array(k)+= ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
enddo
aos_array(k) = aos_array(k) * dx2 * dy2 * dz2
BEGIN_dOC
!
! input : r == r(1) = x and so on
!
! output : tmp_array(i) = aos(i) evaluated in $\textbf{r}$
!
END_DOC
implicit none
double precision, intent(in) :: r(3)
double precision, intent(out) :: tmp_array(ao_num)
integer :: p_ao(3)
integer :: i, j, k, l, m
double precision :: dx, dy, dz, r2
double precision :: dx2, dy2, dz2
double precision :: c_ao(3)
double precision :: beta
do i = 1, nucl_num
c_ao(1:3) = nucl_coord(i,1:3)
dx = r(1) - c_ao(1)
dy = r(2) - c_ao(2)
dz = r(3) - c_ao(3)
r2 = dx*dx + dy*dy + dz*dz
do j = 1, Nucl_N_Aos(i)
k = Nucl_Aos_transposed(j,i) ! index of the ao in the ordered format
p_ao(1:3) = ao_power_ordered_transp_per_nucl(1:3,j,i)
dx2 = dx**p_ao(1)
dy2 = dy**p_ao(2)
dz2 = dz**p_ao(3)
tmp_array(k) = 0.d0
do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i)
if(dabs(beta*r2).gt.40.d0) cycle
tmp_array(k) += ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
enddo
tmp_array(k) = tmp_array(k) * dx2 * dy2 * dz2
enddo
enddo
enddo
return
end
! ---
subroutine give_all_aos_and_grad_at_r(r,aos_array,aos_grad_array)
implicit none

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@ -1,20 +1,28 @@
BEGIN_PROVIDER [ integer, Nucl_Aos_transposed, (N_AOs_max,nucl_num)]
implicit none
BEGIN_DOC
! List of AOs attached on each atom
END_DOC
integer :: i
integer, allocatable :: nucl_tmp(:)
allocate(nucl_tmp(nucl_num))
nucl_tmp = 0
Nucl_Aos = 0
do i = 1, ao_num
nucl_tmp(ao_nucl(i))+=1
Nucl_Aos_transposed(nucl_tmp(ao_nucl(i)),ao_nucl(i)) = i
enddo
deallocate(nucl_tmp)
! ---
BEGIN_PROVIDER [ integer, Nucl_Aos_transposed, (N_AOs_max,nucl_num)]
BEGIN_DOC
! List of AOs attached on each atom
END_DOC
implicit none
integer :: i
integer, allocatable :: nucl_tmp(:)
allocate(nucl_tmp(nucl_num))
nucl_tmp = 0
do i = 1, ao_num
nucl_tmp(ao_nucl(i)) += 1
Nucl_Aos_transposed(nucl_tmp(ao_nucl(i)),ao_nucl(i)) = i
enddo
deallocate(nucl_tmp)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, ao_expo_ordered_transp_per_nucl, (ao_prim_num_max,N_AOs_max,nucl_num) ]
implicit none
integer :: i,j,k,l

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@ -212,9 +212,7 @@ subroutine NAI_pol_x_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr y * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr z * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
@ -279,9 +277,7 @@ subroutine NAI_pol_x_mult_erf_ao_v0(i_ao, j_ao, mu_in, C_center, LD_C, ints, LD_
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr y * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr z * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
@ -1111,3 +1107,141 @@ end
! ---
subroutine NAI_pol_x2_mult_erf_ao_with1s(i_ao, j_ao, beta, B_center, mu_in, C_center, ints)
BEGIN_DOC
!
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr y^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr z^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
include 'utils/constants.include.F'
implicit none
integer, intent(in) :: i_ao, j_ao
double precision, intent(in) :: beta, B_center(3), mu_in, C_center(3)
double precision, intent(out) :: ints(3)
integer :: i, j, power_Ai(3), power_Aj(3), n_pt_in, m
integer :: power_A1(3), power_A2(3)
double precision :: Ai_center(3), Aj_center(3), alphai, alphaj, coef, coefi
double precision :: integral0, integral1, integral2
double precision, external :: NAI_pol_mult_erf_with1s
ASSERT(beta .ge. 0.d0)
if(beta .lt. 1d-10) then
call NAI_pol_x2_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
return
endif
ints = 0.d0
power_Ai(1:3) = ao_power(i_ao,1:3)
power_Aj(1:3) = ao_power(j_ao,1:3)
Ai_center(1:3) = nucl_coord(ao_nucl(i_ao),1:3)
Aj_center(1:3) = nucl_coord(ao_nucl(j_ao),1:3)
n_pt_in = n_pt_max_integrals
do i = 1, ao_prim_num(i_ao)
alphai = ao_expo_ordered_transp (i,i_ao)
coefi = ao_coef_normalized_ordered_transp(i,i_ao)
do m = 1, 3
power_A1 = power_Ai
power_A1(m) += 1
power_A2 = power_Ai
power_A2(m) += 2
do j = 1, ao_prim_num(j_ao)
alphaj = ao_expo_ordered_transp (j,j_ao)
coef = coefi * ao_coef_normalized_ordered_transp(j,j_ao)
integral0 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_Ai, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
integral1 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_A1, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
integral2 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_A2, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
ints(m) += coef * (integral2 + Ai_center(m) * (2.d0*integral1 + Ai_center(m)*integral0))
enddo
enddo
enddo
end subroutine NAI_pol_x2_mult_erf_ao_with1s
! ---
subroutine NAI_pol_x2_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
BEGIN_DOC
!
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr y^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr z^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
include 'utils/constants.include.F'
implicit none
integer, intent(in) :: i_ao, j_ao
double precision, intent(in) :: mu_in, C_center(3)
double precision, intent(out) :: ints(3)
integer :: i, j, num_A, num_B, power_A(3), power_B(3), n_pt_in, m
integer :: power_A1(3), power_A2(3)
double precision :: A_center(3), B_center(3), alpha, beta, coef
double precision :: integral0, integral1, integral2
double precision :: NAI_pol_mult_erf
ints = 0.d0
num_A = ao_nucl(i_ao)
power_A(1:3) = ao_power(i_ao,1:3)
A_center(1:3) = nucl_coord(num_A,1:3)
num_B = ao_nucl(j_ao)
power_B(1:3) = ao_power(j_ao,1:3)
B_center(1:3) = nucl_coord(num_B,1:3)
n_pt_in = n_pt_max_integrals
do i = 1, ao_prim_num(i_ao)
alpha = ao_expo_ordered_transp(i,i_ao)
do m = 1, 3
power_A1 = power_A
power_A1(m) += 1
power_A2 = power_A
power_A2(m) += 2
do j = 1, ao_prim_num(j_ao)
beta = ao_expo_ordered_transp(j,j_ao)
coef = ao_coef_normalized_ordered_transp(j,j_ao) * ao_coef_normalized_ordered_transp(i,i_ao)
integral0 = NAI_pol_mult_erf(A_center, B_center, power_A , power_B, alpha, beta, C_center, n_pt_in, mu_in)
integral1 = NAI_pol_mult_erf(A_center, B_center, power_A1, power_B, alpha, beta, C_center, n_pt_in, mu_in)
integral2 = NAI_pol_mult_erf(A_center, B_center, power_A2, power_B, alpha, beta, C_center, n_pt_in, mu_in)
ints(m) += coef * (integral2 + A_center(m) * (2.d0*integral1 + A_center(m)*integral0))
enddo
enddo
enddo
end subroutine NAI_pol_x2_mult_erf_ao
! ---

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@ -128,6 +128,7 @@ BEGIN_PROVIDER [ double precision, int2_grad1u2_grad2u2_j1b2, (ao_num, ao_num, n
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)
@ -222,6 +223,7 @@ BEGIN_PROVIDER [double precision, int2_u2_j1b2, (ao_num, ao_num, n_points_final_
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)
@ -322,6 +324,7 @@ BEGIN_PROVIDER [ double precision, int2_u_grad1u_x_j1b2, (ao_num, ao_num, n_poin
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)
@ -436,6 +439,7 @@ BEGIN_PROVIDER [ double precision, int2_u_grad1u_j1b2, (ao_num, ao_num, n_points
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)

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@ -60,6 +60,7 @@ BEGIN_PROVIDER [ double precision, v_ij_erf_rk_cst_mu_j1b, (ao_num, ao_num, n_po
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
@ -154,6 +155,7 @@ BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu_j1b, (ao_num, ao_num, n_
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
@ -195,8 +197,7 @@ END_PROVIDER
! ---
! TODO analytically
BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_final_grid)]
BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b_fit, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
@ -213,12 +214,14 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
double precision, external :: overlap_gauss_r12_ao_with1s
print*, ' providing v_ij_u_cst_mu_j1b ...'
print*, ' providing v_ij_u_cst_mu_j1b_fit ...'
call wall_time(wall0)
provide mu_erf final_grid_points j1b_pen
PROVIDE ng_fit_jast expo_gauss_j_mu_x coef_gauss_j_mu_x
PROVIDE List_all_comb_b2_size List_all_comb_b2_coef List_all_comb_b2_expo List_all_comb_b2_cent
v_ij_u_cst_mu_j1b = 0.d0
v_ij_u_cst_mu_j1b_fit = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
@ -227,9 +230,8 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_x, coef_gauss_j_mu_x, &
!$OMP List_all_comb_b2_coef, List_all_comb_b2_expo, &
!$OMP List_all_comb_b2_cent, v_ij_u_cst_mu_j1b)
!$OMP List_all_comb_b2_cent, v_ij_u_cst_mu_j1b_fit)
!$OMP DO
!do ipoint = 1, 10
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
@ -240,7 +242,6 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
tmp = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_x(i_fit)
coef_fit = coef_gauss_j_mu_x(i_fit)
@ -253,7 +254,6 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
B_center(3) = List_all_comb_b2_cent(3,1)
int_fit = overlap_gauss_r12_ao_with1s(B_center, beta, r, expo_fit, i, j)
! if(dabs(int_fit*coef) .lt. 1d-12) cycle
tmp += coef * coef_fit * int_fit
@ -262,6 +262,7 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
@ -276,7 +277,7 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
enddo
v_ij_u_cst_mu_j1b(j,i,ipoint) = tmp
v_ij_u_cst_mu_j1b_fit(j,i,ipoint) = tmp
enddo
enddo
enddo
@ -286,13 +287,149 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
v_ij_u_cst_mu_j1b(j,i,ipoint) = v_ij_u_cst_mu_j1b(i,j,ipoint)
v_ij_u_cst_mu_j1b_fit(j,i,ipoint) = v_ij_u_cst_mu_j1b_fit(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for v_ij_u_cst_mu_j1b', wall1 - wall0
print*, ' wall time for v_ij_u_cst_mu_j1b_fit', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b_an, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! int dr2 phi_i(r2) phi_j(r2) 1s_j1b(r2) u(mu, r12)
!
! TODO
! one subroutine for all integrals
!
END_DOC
include 'constants.include.F'
implicit none
integer :: i, j, ipoint, i_1s
double precision :: r(3), r1_2
double precision :: int_c1, int_e1, int_o
double precision :: int_c2(3), int_e2(3)
double precision :: int_c3(3), int_e3(3)
double precision :: coef, beta, B_center(3)
double precision :: tmp, ct
double precision :: wall0, wall1
double precision, external :: overlap_gauss_r12_ao_with1s
double precision, external :: NAI_pol_mult_erf_ao_with1s
print*, ' providing v_ij_u_cst_mu_j1b_an ...'
call wall_time(wall0)
provide mu_erf final_grid_points j1b_pen
PROVIDE List_all_comb_b2_size List_all_comb_b2_coef List_all_comb_b2_expo List_all_comb_b2_cent
ct = inv_sq_pi_2 / mu_erf
v_ij_u_cst_mu_j1b_an = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, r, coef, beta, B_center, &
!$OMP r1_2, tmp, int_c1, int_e1, int_o, int_c2, &
!$OMP int_e2, int_c3, int_e3) &
!$OMP SHARED (n_points_final_grid, ao_num, List_all_comb_b2_size, &
!$OMP final_grid_points, mu_erf, ct, &
!$OMP List_all_comb_b2_coef, List_all_comb_b2_expo, &
!$OMP List_all_comb_b2_cent, v_ij_u_cst_mu_j1b_an)
!$OMP DO
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
r1_2 = 0.5d0 * (r(1)*r(1) + r(2)*r(2) + r(3)*r(3))
do i = 1, ao_num
do j = i, ao_num
! ---
coef = List_all_comb_b2_coef (1)
beta = List_all_comb_b2_expo (1)
B_center(1) = List_all_comb_b2_cent(1,1)
B_center(2) = List_all_comb_b2_cent(2,1)
B_center(3) = List_all_comb_b2_cent(3,1)
int_c1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r)
int_e1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c2)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e2)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c3)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e3)
int_o = overlap_gauss_r12_ao_with1s(B_center, beta, r, mu_erf*mu_erf, i, j)
tmp = coef &
* ( r1_2 * (int_c1 - int_e1) &
- r(1) * (int_c2(1) - int_e2(1)) - r(2) * (int_c2(2) - int_e2(2)) - r(3) * (int_c2(3) - int_e2(3)) &
+ 0.5d0 * (int_c3(1) + int_c3(2) + int_c3(3) - int_e3(1) - int_e3(2) - int_e3(3)) &
- ct * int_o &
)
! ---
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
B_center(3) = List_all_comb_b2_cent(3,i_1s)
int_c1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r)
int_e1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c2)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e2)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c3)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e3)
int_o = overlap_gauss_r12_ao_with1s(B_center, beta, r, mu_erf*mu_erf, i, j)
tmp = tmp + coef &
* ( r1_2 * (int_c1 - int_e1) &
- r(1) * (int_c2(1) - int_e2(1)) - r(2) * (int_c2(2) - int_e2(2)) - r(3) * (int_c2(3) - int_e2(3)) &
+ 0.5d0 * (int_c3(1) + int_c3(2) + int_c3(3) - int_e3(1) - int_e3(2) - int_e3(3)) &
- ct * int_o &
)
enddo
! ---
v_ij_u_cst_mu_j1b_an(j,i,ipoint) = tmp
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
v_ij_u_cst_mu_j1b_an(j,i,ipoint) = v_ij_u_cst_mu_j1b_an(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for v_ij_u_cst_mu_j1b_an', wall1 - wall0
END_PROVIDER

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@ -62,6 +62,7 @@ END_PROVIDER
double precision :: tmp_cent_x, tmp_cent_y, tmp_cent_z
provide j1b_pen
provide j1b_pen_coef
List_all_comb_b2_coef = 0.d0
List_all_comb_b2_expo = 0.d0
@ -127,8 +128,8 @@ END_PROVIDER
List_all_comb_b2_expo( 1) = 0.d0
List_all_comb_b2_cent(1:3,1) = 0.d0
do i = 1, nucl_num
List_all_comb_b2_coef( i+1) = -1.d0
List_all_comb_b2_expo( i+1) = j1b_pen( i)
List_all_comb_b2_coef( i+1) = -1.d0 * j1b_pen_coef(i)
List_all_comb_b2_expo( i+1) = j1b_pen(i)
List_all_comb_b2_cent(1,i+1) = nucl_coord(i,1)
List_all_comb_b2_cent(2,i+1) = nucl_coord(i,2)
List_all_comb_b2_cent(3,i+1) = nucl_coord(i,3)
@ -225,6 +226,7 @@ END_PROVIDER
double precision :: dx, dy, dz, r2
provide j1b_pen
provide j1b_pen_coef
List_all_comb_b3_coef = 0.d0
List_all_comb_b3_expo = 0.d0
@ -296,8 +298,8 @@ END_PROVIDER
do i = 1, nucl_num
ii = ii + 1
List_all_comb_b3_coef( ii) = -2.d0
List_all_comb_b3_expo( ii) = j1b_pen( i)
List_all_comb_b3_coef( ii) = -2.d0 * j1b_pen_coef(i)
List_all_comb_b3_expo( ii) = j1b_pen(i)
List_all_comb_b3_cent(1,ii) = nucl_coord(i,1)
List_all_comb_b3_cent(2,ii) = nucl_coord(i,2)
List_all_comb_b3_cent(3,ii) = nucl_coord(i,3)
@ -305,7 +307,7 @@ END_PROVIDER
do i = 1, nucl_num
ii = ii + 1
List_all_comb_b3_coef( ii) = 1.d0
List_all_comb_b3_coef( ii) = 1.d0 * j1b_pen_coef(i) * j1b_pen_coef(i)
List_all_comb_b3_expo( ii) = 2.d0 * j1b_pen(i)
List_all_comb_b3_cent(1,ii) = nucl_coord(i,1)
List_all_comb_b3_cent(2,ii) = nucl_coord(i,2)
@ -337,7 +339,7 @@ END_PROVIDER
ii = ii + 1
! x 2 to avoid doing integrals twice
List_all_comb_b3_coef( ii) = 2.d0 * dexp(-tmp1*tmp2*tmp4*r2)
List_all_comb_b3_coef( ii) = 2.d0 * dexp(-tmp1*tmp2*tmp4*r2) * j1b_pen_coef(i) * j1b_pen_coef(j)
List_all_comb_b3_expo( ii) = tmp3
List_all_comb_b3_cent(1,ii) = tmp4 * (tmp1 * xi + tmp2 * xj)
List_all_comb_b3_cent(2,ii) = tmp4 * (tmp1 * yi + tmp2 * yj)

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@ -36,16 +36,25 @@ END_PROVIDER
END_PROVIDER
BEGIN_PROVIDER [ double precision, expo_j_xmu, (n_fit_1_erf_x) ]
implicit none
BEGIN_DOC
! F(x) = x * (1 - erf(x)) - 1/sqrt(pi) * exp(-x**2) is fitted with a gaussian and a Slater
!
! \approx - 1/sqrt(pi) * exp(-alpha * x ) exp(-beta * x**2)
!
! where alpha = expo_j_xmu(1) and beta = expo_j_xmu(2)
END_DOC
expo_j_xmu(1) = 1.7477d0
expo_j_xmu(2) = 0.668662d0
BEGIN_DOC
! F(x) = x * (1 - erf(x)) - 1/sqrt(pi) * exp(-x**2) is fitted with a gaussian and a Slater
!
! \approx - 1/sqrt(pi) * exp(-alpha * x ) exp(-beta * x**2)
!
! where alpha = expo_j_xmu(1) and beta = expo_j_xmu(2)
END_DOC
implicit none
!expo_j_xmu(1) = 1.7477d0
!expo_j_xmu(2) = 0.668662d0
!expo_j_xmu(1) = 1.74766377595541d0
!expo_j_xmu(2) = 0.668719925486403d0
expo_j_xmu(1) = 1.74770446934522d0
expo_j_xmu(2) = 0.668659706559979d0
END_PROVIDER

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@ -9,19 +9,19 @@ program bi_ort_ints
implicit none
my_grid_becke = .True.
!my_n_pt_r_grid = 10
!my_n_pt_a_grid = 14
my_n_pt_r_grid = 30
my_n_pt_a_grid = 50
PROVIDE tc_grid1_a tc_grid1_r
my_n_pt_r_grid = tc_grid1_r
my_n_pt_a_grid = tc_grid1_a
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
! call test_3e
! call test_5idx
! call test_5idx2
!call test_4idx
call test_4idx2()
call test_5idx2
call test_5idx
call test_4idx()
call test_4idx_n4()
!call test_4idx2()
!call test_5idx2
!call test_5idx
end
subroutine test_5idx2
@ -211,13 +211,138 @@ end
! ---
subroutine test_4idx_n4()
implicit none
integer :: i, j, k, l
double precision :: accu, contrib, new, ref, thr
thr = 1d-10
PROVIDE three_e_4_idx_direct_bi_ort_old
PROVIDE three_e_4_idx_direct_bi_ort_n4
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_n4 (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_n4'
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_n4 = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_exch13_bi_ort_old
PROVIDE three_e_4_idx_exch13_bi_ort_n4
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_n4 (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_n4'
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_n4 = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_cycle_1_bi_ort_old
PROVIDE three_e_4_idx_cycle_1_bi_ort_n4
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_n4 (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_n4'
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_n4 = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_exch23_bi_ort_old
PROVIDE three_e_4_idx_exch23_bi_ort_n4
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_n4 (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_n4'
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_n4 = ', accu / dble(mo_num)**4
! ---
return
end
! ---
subroutine test_4idx()
implicit none
integer :: i, j, k, l
double precision :: accu, contrib, new, ref, thr
thr = 1d-5
thr = 1d-10
PROVIDE three_e_4_idx_direct_bi_ort_old
PROVIDE three_e_4_idx_direct_bi_ort
@ -275,34 +400,6 @@ subroutine test_4idx()
! ---
! 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
@ -331,34 +428,6 @@ subroutine test_4idx()
! ---
! 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

View File

@ -6,7 +6,7 @@ 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
ao_one_e_integrals_tc_tot = ao_one_e_integrals
!provide j1b_type

View File

@ -140,8 +140,6 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3,
enddo
enddo
FREE int2_grad1_u12_ao
endif
call wall_time(wall1)
@ -225,6 +223,8 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_t, (n_points_final_grid, 3,
implicit none
integer :: i, j, ipoint
PROVIDE int2_grad1_u12_ao
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, ao_num

View File

@ -17,6 +17,8 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_direct_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_direct_bi_ort ...'
call wall_time(wall0)
@ -125,6 +127,8 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
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)
@ -179,6 +183,8 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num,
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_exch23_bi_ort = 0.d0
print*,'Providing the three_e_3_idx_exch23_bi_ort ...'
call wall_time(wall0)
@ -233,6 +239,8 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num,
integer :: i,j,m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_exch13_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_exch13_bi_ort ...'
call wall_time(wall0)
@ -287,6 +295,8 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort, (mo_num, mo_num,
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_exch12_bi_ort ...'
call wall_time(wall0)

View File

@ -3,9 +3,8 @@
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_exch23_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
!
@ -13,28 +12,25 @@
!
! 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_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
! 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_4_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_exch23_bi_ort (m,j,k,i) : Lk Ri Imj Ijm + Lj Rm Imj Iki + Lm Rj Ijm Iki
! 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 :: ipoint, i, j, k, l, m
integer :: ipoint, i, j, k, m, n
double precision :: wall1, wall0
double precision, allocatable :: tmp1(:,:,:,:), tmp2(:,:,:,:), tmp3(:,:,:,:)
double precision, allocatable :: tmp_4d(:,:,:,:)
double precision, allocatable :: tmp4(:,:,:)
double precision, allocatable :: tmp5(:,:)
double precision, allocatable :: tmp_3d(:,:,:)
double precision :: tmp_loc_1, tmp_loc_2
double precision, allocatable :: tmp1(:,:,:), tmp2(:,:,:)
double precision, allocatable :: tmp_2d(:,:)
double precision, allocatable :: tmp_aux_1(:,:,:), tmp_aux_2(:,:)
print *, ' Providing the three_e_4_idx_bi_ort ...'
call wall_time(wall0)
@ -42,324 +38,188 @@
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
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))
! to reduce the number of operations
allocate(tmp_aux_1(n_points_final_grid,4,mo_num))
allocate(tmp_aux_2(n_points_final_grid,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP PRIVATE (n, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1, tmp2, tmp3)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp2(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp2(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp2(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp3(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp3(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp3(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,i) * mos_r_in_r_array_transp(ipoint,l)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1, 3*n_points_final_grid, tmp2, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_direct_bi_ort(m,j,k,i) = -tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp3, 3*n_points_final_grid, tmp1, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp1)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch13_bi_ort(m,j,k,i) = -tmp_4d(m,i,j,k)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1, 3*n_points_final_grid, tmp2, 3*n_points_final_grid &
, 0.d0, tmp_4d, mo_num*mo_num)
deallocate(tmp2)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch13_bi_ort(m,j,k,i) = three_e_4_idx_exch13_bi_ort(m,j,k,i) - tmp_4d(m,k,j,i)
enddo
enddo