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mirror of https://github.com/QuantumPackage/qp2.git synced 2024-11-05 21:13:40 +01:00
qp2/plugins/local/ao_many_one_e_ints/grad2_jmu_modif.irp.f

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! ---
BEGIN_PROVIDER [ double precision, int2_grad1u2_grad2u2, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
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! \frac{1}{4} x int dr2 phi_i(r2) phi_j(r2) [1 - erf(mu r12)]^2
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!
END_DOC
implicit none
integer :: i, j, ipoint, i_fit
double precision :: r(3), expo_fit, coef_fit
double precision :: tmp
double precision :: wall0, wall1
double precision, external :: overlap_gauss_r12_ao
print*, ' providing int2_grad1u2_grad2u2 ...'
call wall_time(wall0)
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provide mu_erf
provide final_grid_points
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int2_grad1u2_grad2u2 = 0.d0
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!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_fit, r, coef_fit, expo_fit, tmp) &
!$OMP SHARED (n_points_final_grid, ao_num, final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_1_erf_x_2, coef_gauss_1_erf_x_2,int2_grad1u2_grad2u2)
!$OMP DO
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do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
do i = 1, ao_num
do j = i, ao_num
tmp = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_1_erf_x_2(i_fit)
coef_fit = coef_gauss_1_erf_x_2(i_fit)
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tmp += 0.25d0 * coef_fit * overlap_gauss_r12_ao(r, expo_fit, i, j)
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enddo
int2_grad1u2_grad2u2(j,i,ipoint) = tmp
enddo
enddo
enddo
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!$OMP END DO
!$OMP END PARALLEL
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do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
int2_grad1u2_grad2u2(j,i,ipoint) = int2_grad1u2_grad2u2(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
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print*, ' wall time for int2_grad1u2_grad2u2 (min) = ', (wall1 - wall0) / 60.d0
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END_PROVIDER
! ---
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BEGIN_PROVIDER [double precision, int2_grad1u2_grad2u2_env2, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
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! -\frac{1}{4} x int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 [1 - erf(mu r12)]^2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), int_fit, expo_fit, coef_fit
double precision :: coef, beta, B_center(3)
double precision :: tmp
double precision :: wall0, wall1
double precision, external :: overlap_gauss_r12_ao
double precision, external :: overlap_gauss_r12_ao_with1s
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print*, ' providing int2_grad1u2_grad2u2_env2 ...'
call wall_time(wall0)
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provide mu_erf
provide final_grid_points
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int2_grad1u2_grad2u2_env2 = 0.d0
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!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit, tmp) &
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!$OMP SHARED (n_points_final_grid, ao_num, List_env1s_square_size, &
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!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_1_erf_x_2, coef_gauss_1_erf_x_2, &
!$OMP List_env1s_square_coef, List_env1s_square_expo, &
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!$OMP List_env1s_square_cent, int2_grad1u2_grad2u2_env2)
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!$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)
do i = 1, ao_num
do j = i, ao_num
tmp = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_1_erf_x_2(i_fit)
coef_fit = coef_gauss_1_erf_x_2(i_fit)
! ---
int_fit = overlap_gauss_r12_ao(r, expo_fit, i, j)
tmp += -0.25d0 * coef_fit * int_fit
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! if(dabs(coef_fit*int_fit) .lt. 1d-12) cycle
! ---
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do i_1s = 2, List_env1s_square_size
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coef = List_env1s_square_coef (i_1s)
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if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
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beta = List_env1s_square_expo (i_1s)
B_center(1) = List_env1s_square_cent(1,i_1s)
B_center(2) = List_env1s_square_cent(2,i_1s)
B_center(3) = List_env1s_square_cent(3,i_1s)
int_fit = overlap_gauss_r12_ao_with1s(B_center, beta, r, expo_fit, i, j)
tmp += -0.25d0 * coef * coef_fit * int_fit
enddo
! ---
enddo
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int2_grad1u2_grad2u2_env2(j,i,ipoint) = tmp
enddo
enddo
enddo
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!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
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int2_grad1u2_grad2u2_env2(j,i,ipoint) = int2_grad1u2_grad2u2_env2(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
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print*, ' wall time for int2_grad1u2_grad2u2_env2 (min) =', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---
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BEGIN_PROVIDER [double precision, int2_u2_env2, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
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! int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 [u_12^mu]^2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), int_fit, expo_fit, coef_fit
double precision :: coef, beta, B_center(3), tmp
double precision :: wall0, wall1
double precision, external :: overlap_gauss_r12_ao
double precision, external :: overlap_gauss_r12_ao_with1s
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print*, ' providing int2_u2_env2 ...'
call wall_time(wall0)
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provide mu_erf
provide final_grid_points
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int2_u2_env2 = 0.d0
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!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit, tmp) &
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!$OMP SHARED (n_points_final_grid, ao_num, List_env1s_square_size, &
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!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_x_2, coef_gauss_j_mu_x_2, &
!$OMP List_env1s_square_coef, List_env1s_square_expo, &
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!$OMP List_env1s_square_cent, int2_u2_env2)
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!$OMP DO
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
do i = 1, ao_num
do j = i, ao_num
tmp = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_x_2(i_fit)
coef_fit = coef_gauss_j_mu_x_2(i_fit)
! ---
int_fit = overlap_gauss_r12_ao(r, expo_fit, i, j)
tmp += coef_fit * int_fit
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! if(dabs(coef_fit*int_fit) .lt. 1d-12) cycle
! ---
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do i_1s = 2, List_env1s_square_size
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coef = List_env1s_square_coef (i_1s)
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if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
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beta = List_env1s_square_expo (i_1s)
B_center(1) = List_env1s_square_cent(1,i_1s)
B_center(2) = List_env1s_square_cent(2,i_1s)
B_center(3) = List_env1s_square_cent(3,i_1s)
int_fit = overlap_gauss_r12_ao_with1s(B_center, beta, r, expo_fit, i, j)
tmp += coef * coef_fit * int_fit
enddo
! ---
enddo
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int2_u2_env2(j,i,ipoint) = tmp
enddo
enddo
enddo
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!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
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int2_u2_env2(j,i,ipoint) = int2_u2_env2(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
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print*, ' wall time for int2_u2_env2 (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---
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BEGIN_PROVIDER [double precision, int2_u_grad1u_x_env2, (ao_num, ao_num, n_points_final_grid, 3)]
BEGIN_DOC
!
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! int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 u_12^mu [\grad_1 u_12^mu] r2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), int_fit(3), expo_fit, coef_fit
double precision :: coef, beta, B_center(3), dist
double precision :: alpha_1s, alpha_1s_inv, centr_1s(3), expo_coef_1s, coef_tmp
double precision :: tmp_x, tmp_y, tmp_z
double precision :: wall0, wall1
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print*, ' providing int2_u_grad1u_x_env2 ...'
call wall_time(wall0)
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provide mu_erf
provide final_grid_points
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int2_u_grad1u_x_env2 = 0.d0
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!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit, alpha_1s, dist, &
!$OMP alpha_1s_inv, centr_1s, expo_coef_1s, coef_tmp, &
!$OMP tmp_x, tmp_y, tmp_z) &
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!$OMP SHARED (n_points_final_grid, ao_num, List_env1s_square_size, &
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!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_1_erf, coef_gauss_j_mu_1_erf, &
!$OMP List_env1s_square_coef, List_env1s_square_expo, &
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!$OMP List_env1s_square_cent, int2_u_grad1u_x_env2)
!$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)
do i = 1, ao_num
do j = i, ao_num
tmp_x = 0.d0
tmp_y = 0.d0
tmp_z = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_1_erf(i_fit)
coef_fit = coef_gauss_j_mu_1_erf(i_fit)
! ---
call NAI_pol_x_mult_erf_ao_with1s(i, j, expo_fit, r, 1.d+9, r, int_fit)
tmp_x += coef_fit * int_fit(1)
tmp_y += coef_fit * int_fit(2)
tmp_z += coef_fit * int_fit(3)
! if( dabs(coef_fit)*(dabs(int_fit(1)) + dabs(int_fit(2)) + dabs(int_fit(3))) .lt. 3d-10 ) cycle
! ---
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do i_1s = 2, List_env1s_square_size
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coef = List_env1s_square_coef (i_1s)
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if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
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beta = List_env1s_square_expo (i_1s)
B_center(1) = List_env1s_square_cent(1,i_1s)
B_center(2) = List_env1s_square_cent(2,i_1s)
B_center(3) = List_env1s_square_cent(3,i_1s)
dist = (B_center(1) - r(1)) * (B_center(1) - r(1)) &
+ (B_center(2) - r(2)) * (B_center(2) - r(2)) &
+ (B_center(3) - r(3)) * (B_center(3) - r(3))
alpha_1s = beta + expo_fit
alpha_1s_inv = 1.d0 / alpha_1s
centr_1s(1) = alpha_1s_inv * (beta * B_center(1) + expo_fit * r(1))
centr_1s(2) = alpha_1s_inv * (beta * B_center(2) + expo_fit * r(2))
centr_1s(3) = alpha_1s_inv * (beta * B_center(3) + expo_fit * r(3))
expo_coef_1s = beta * expo_fit * alpha_1s_inv * dist
coef_tmp = coef * coef_fit * dexp(-expo_coef_1s)
! if(dabs(coef_tmp) .lt. 1d-12) cycle
call NAI_pol_x_mult_erf_ao_with1s(i, j, alpha_1s, centr_1s, 1.d+9, r, int_fit)
tmp_x += coef_tmp * int_fit(1)
tmp_y += coef_tmp * int_fit(2)
tmp_z += coef_tmp * int_fit(3)
enddo
! ---
enddo
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int2_u_grad1u_x_env2(j,i,ipoint,1) = tmp_x
int2_u_grad1u_x_env2(j,i,ipoint,2) = tmp_y
int2_u_grad1u_x_env2(j,i,ipoint,3) = tmp_z
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
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int2_u_grad1u_x_env2(j,i,ipoint,1) = int2_u_grad1u_x_env2(i,j,ipoint,1)
int2_u_grad1u_x_env2(j,i,ipoint,2) = int2_u_grad1u_x_env2(i,j,ipoint,2)
int2_u_grad1u_x_env2(j,i,ipoint,3) = int2_u_grad1u_x_env2(i,j,ipoint,3)
enddo
enddo
enddo
call wall_time(wall1)
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print*, ' wall time for int2_u_grad1u_x_env2 (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---
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BEGIN_PROVIDER [ double precision, int2_u_grad1u_env2, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
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! int dr2 phi_i(r2) phi_j(r2) 1s_env(r2)^2 u_12^mu [\grad_1 u_12^mu]
!
END_DOC
implicit none
integer :: i, j, ipoint, i_1s, i_fit
double precision :: r(3), int_fit, expo_fit, coef_fit, coef_tmp
double precision :: coef, beta, B_center(3), dist
double precision :: alpha_1s, alpha_1s_inv, centr_1s(3), expo_coef_1s, tmp
double precision :: wall0, wall1
double precision, external :: NAI_pol_mult_erf_ao_with1s
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print*, ' providing int2_u_grad1u_env2 ...'
call wall_time(wall0)
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provide mu_erf
provide final_grid_points
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int2_u_grad1u_env2 = 0.d0
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!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
!$OMP coef_fit, expo_fit, int_fit, tmp, alpha_1s, dist, &
!$OMP alpha_1s_inv, centr_1s, expo_coef_1s, coef_tmp) &
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!$OMP SHARED (n_points_final_grid, ao_num, List_env1s_square_size, &
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!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_1_erf, coef_gauss_j_mu_1_erf, &
!$OMP List_env1s_square_coef, List_env1s_square_expo, &
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!$OMP List_env1s_square_cent, int2_u_grad1u_env2)
!$OMP DO
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = i, ao_num
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
tmp = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_1_erf(i_fit)
coef_fit = coef_gauss_j_mu_1_erf(i_fit)
! ---
int_fit = NAI_pol_mult_erf_ao_with1s(i, j, expo_fit, r, 1.d+9, r)
! if(dabs(coef_fit)*dabs(int_fit) .lt. 1d-12) cycle
tmp += coef_fit * int_fit
! ---
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do i_1s = 2, List_env1s_square_size
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coef = List_env1s_square_coef (i_1s)
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if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
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beta = List_env1s_square_expo (i_1s)
B_center(1) = List_env1s_square_cent(1,i_1s)
B_center(2) = List_env1s_square_cent(2,i_1s)
B_center(3) = List_env1s_square_cent(3,i_1s)
dist = (B_center(1) - r(1)) * (B_center(1) - r(1)) &
+ (B_center(2) - r(2)) * (B_center(2) - r(2)) &
+ (B_center(3) - r(3)) * (B_center(3) - r(3))
alpha_1s = beta + expo_fit
alpha_1s_inv = 1.d0 / alpha_1s
centr_1s(1) = alpha_1s_inv * (beta * B_center(1) + expo_fit * r(1))
centr_1s(2) = alpha_1s_inv * (beta * B_center(2) + expo_fit * r(2))
centr_1s(3) = alpha_1s_inv * (beta * B_center(3) + expo_fit * r(3))
expo_coef_1s = beta * expo_fit * alpha_1s_inv * dist
if(expo_coef_1s .gt. 80.d0) cycle
coef_tmp = coef * coef_fit * dexp(-expo_coef_1s)
if(dabs(coef_tmp) .lt. 1d-12) cycle
int_fit = NAI_pol_mult_erf_ao_with1s(i, j, alpha_1s, centr_1s, 1.d+9, r)
tmp += coef_tmp * int_fit
enddo
! ---
enddo
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int2_u_grad1u_env2(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
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int2_u_grad1u_env2(j,i,ipoint) = int2_u_grad1u_env2(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
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print*, ' wall time for int2_u_grad1u_env2 (min) = ', (wall1 - wall0) / 60.d0
END_PROVIDER
! ---