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mirror of https://github.com/QuantumPackage/qp2.git synced 2024-06-24 06:02:26 +02:00

trying to improve sr PBE

This commit is contained in:
eginer 2019-02-11 19:38:31 +01:00
parent 0e530b9ad3
commit 025ecdf405
5 changed files with 389 additions and 349 deletions

View File

@ -2,14 +2,10 @@
&BEGIN_PROVIDER[double precision, aos_vc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_vx_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_vx_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvc_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvc_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvx_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvx_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvc_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvc_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvx_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvx_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvc_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvx_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvx_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
implicit none
BEGIN_DOC
! aos_vxc_alpha_PBE_w(j,i) = ao_i(r_j) * (v^x_alpha(r_j) + v^c_alpha(r_j)) * W(r_j)
@ -68,17 +64,12 @@
aos_vx_alpha_PBE_w(j,i,istate) = vx_rho_a(istate) * aos_in_r_array(j,i)
aos_vx_beta_PBE_w (j,i,istate) = vx_rho_b(istate) * aos_in_r_array(j,i)
enddo
do m = 1,3
do j = 1, ao_num
aos_dvc_alpha_PBE_w(j,i,m,istate) = contrib_grad_ca(m,istate) * aos_in_r_array(j,i)
aos_dvc_beta_PBE_w (j,i,m,istate) = contrib_grad_cb(m,istate) * aos_in_r_array(j,i)
aos_dvx_alpha_PBE_w(j,i,m,istate) = contrib_grad_xa(m,istate) * aos_in_r_array(j,i)
aos_dvx_beta_PBE_w (j,i,m,istate) = contrib_grad_xb(m,istate) * aos_in_r_array(j,i)
grad_aos_dvc_alpha_PBE_w (j,i,m,istate) = contrib_grad_ca(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
grad_aos_dvc_beta_PBE_w (j,i,m,istate) = contrib_grad_cb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
grad_aos_dvx_alpha_PBE_w (j,i,m,istate) = contrib_grad_xa(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
grad_aos_dvx_beta_PBE_w (j,i,m,istate) = contrib_grad_xb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
do j = 1, ao_num
do m = 1,3
aos_dvc_alpha_PBE_w(j,i,istate) += contrib_grad_ca(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dvc_beta_PBE_w (j,i,istate) += contrib_grad_cb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dvx_alpha_PBE_w(j,i,istate) += contrib_grad_xa(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dvx_beta_PBE_w (j,i,istate) += contrib_grad_xb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
enddo
enddo
enddo
@ -87,46 +78,110 @@
END_PROVIDER
BEGIN_PROVIDER [double precision, potential_x_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_x_beta_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_c_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_c_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_PROVIDER [double precision, pot_scal_x_alpha_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_scal_c_alpha_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_scal_x_beta_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_scal_c_beta_ao_PBE, (ao_num,ao_num,N_states)]
implicit none
integer :: istate
BEGIN_DOC
! exchange/correlation alpha/beta potentials with the short range PBE functional on the AO basis
! intermediate quantity for the calculation of the vxc potentials for the GGA functionals related to the scalar part of the potential
END_DOC
integer :: istate, m
pot_scal_c_alpha_ao_PBE = 0.d0
pot_scal_x_alpha_ao_PBE = 0.d0
pot_scal_c_beta_ao_PBE = 0.d0
pot_scal_x_beta_ao_PBE = 0.d0
double precision :: wall_1,wall_2
call wall_time(wall_1)
potential_c_alpha_ao_PBE = 0.d0
potential_x_alpha_ao_PBE = 0.d0
potential_c_beta_ao_PBE = 0.d0
potential_x_beta_ao_PBE = 0.d0
do istate = 1, N_states
! correlation alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_vc_alpha_PBE_w(1,1,istate),size(aos_vc_alpha_PBE_w,1),aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_c_alpha_ao_PBE(1,1,istate),size(potential_c_alpha_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vc_alpha_PBE_w(1,1,istate),size(aos_vc_alpha_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_c_alpha_ao_PBE(1,1,istate),size(pot_scal_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_vc_beta_PBE_w(1,1,istate),size(aos_vc_beta_PBE_w,1),aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_c_beta_ao_PBE(1,1,istate),size(potential_c_beta_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vc_beta_PBE_w(1,1,istate),size(aos_vc_beta_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_c_beta_ao_PBE(1,1,istate),size(pot_scal_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_vx_alpha_PBE_w(1,1,istate),size(aos_vx_alpha_PBE_w,1),aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_x_alpha_ao_PBE(1,1,istate),size(potential_x_alpha_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vx_alpha_PBE_w(1,1,istate),size(aos_vx_alpha_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_x_alpha_ao_PBE(1,1,istate),size(pot_scal_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_vx_beta_PBE_w(1,1,istate),size(aos_vx_beta_PBE_w,1), aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_x_beta_ao_PBE(1,1,istate), size(potential_x_beta_ao_PBE,1))
do m= 1,3
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vx_beta_PBE_w(1,1,istate),size(aos_vx_beta_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_x_beta_ao_PBE(1,1,istate), size(pot_scal_x_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, pot_grad_x_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_grad_x_beta_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_grad_c_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_grad_c_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_DOC
! intermediate quantity for the calculation of the vxc potentials for the GGA functionals related to the gradienst of the density and orbitals
END_DOC
integer :: istate
double precision :: wall_1,wall_2
call wall_time(wall_1)
pot_grad_c_alpha_ao_PBE = 0.d0
pot_grad_x_alpha_ao_PBE = 0.d0
pot_grad_c_beta_ao_PBE = 0.d0
pot_grad_x_beta_ao_PBE = 0.d0
do istate = 1, N_states
! correlation alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_dvc_alpha_PBE_w(1,1,m,istate),size(aos_dvc_alpha_PBE_w,1),aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,potential_c_alpha_ao_PBE(1,1,istate),size(potential_c_alpha_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,grad_aos_dvc_alpha_PBE_w(1,1,m,istate),size(grad_aos_dvc_alpha_PBE_w,1),aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_c_alpha_ao_PBE(1,1,istate),size(potential_c_alpha_ao_PBE,1))
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvc_alpha_PBE_w(1,1,istate),size(aos_dvc_alpha_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_c_alpha_ao_PBE(1,1,istate),size(pot_grad_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_dvc_beta_PBE_w(1,1,m,istate),size(aos_dvc_beta_PBE_w,1),aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,potential_c_beta_ao_PBE(1,1,istate),size(potential_c_beta_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,grad_aos_dvc_beta_PBE_w(1,1,m,istate),size(grad_aos_dvc_beta_PBE_w,1),aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_c_beta_ao_PBE(1,1,istate),size(potential_c_beta_ao_PBE,1))
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvc_beta_PBE_w(1,1,istate),size(aos_dvc_beta_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_c_beta_ao_PBE(1,1,istate),size(pot_grad_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_dvx_alpha_PBE_w(1,1,m,istate),size(aos_dvx_alpha_PBE_w,1),aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,potential_x_alpha_ao_PBE(1,1,istate),size(potential_x_alpha_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,grad_aos_dvx_alpha_PBE_w(1,1,m,istate),size(grad_aos_dvx_alpha_PBE_w,1),aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_x_alpha_ao_PBE(1,1,istate),size(potential_x_alpha_ao_PBE,1))
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvx_alpha_PBE_w(1,1,istate),size(aos_dvx_alpha_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_x_alpha_ao_PBE(1,1,istate),size(pot_grad_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,aos_dvx_beta_PBE_w(1,1,m,istate),size(aos_dvx_beta_PBE_w,1),aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,potential_x_beta_ao_PBE(1,1,istate),size(potential_x_beta_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0,grad_aos_dvx_beta_PBE_w(1,1,m,istate),size(grad_aos_dvx_beta_PBE_w,1),aos_in_r_array,size(aos_in_r_array,1),1.d0,potential_x_beta_ao_PBE(1,1,istate),size(potential_x_beta_ao_PBE,1))
enddo
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvx_beta_PBE_w(1,1,istate),size(aos_dvx_beta_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_x_beta_ao_PBE(1,1,istate),size(pot_grad_x_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, potential_x_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_x_beta_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_c_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_c_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_DOC
! exchange / correlation potential for alpha / beta electrons with the Perdew-Burke-Ernzerhof GGA functional
END_DOC
integer :: i,j,istate
do istate = 1, n_states
do i = 1, ao_num
do j = 1, ao_num
potential_x_alpha_ao_PBE(j,i,istate) = pot_scal_x_alpha_ao_PBE(j,i,istate) + pot_grad_x_alpha_ao_PBE(j,i,istate) + pot_grad_x_alpha_ao_PBE(i,j,istate)
potential_x_beta_ao_PBE(j,i,istate) = pot_scal_x_beta_ao_PBE(j,i,istate) + pot_grad_x_beta_ao_PBE(j,i,istate) + pot_grad_x_beta_ao_PBE(i,j,istate)
potential_c_alpha_ao_PBE(j,i,istate) = pot_scal_c_alpha_ao_PBE(j,i,istate) + pot_grad_c_alpha_ao_PBE(j,i,istate) + pot_grad_c_alpha_ao_PBE(i,j,istate)
potential_c_beta_ao_PBE(j,i,istate) = pot_scal_c_beta_ao_PBE(j,i,istate) + pot_grad_c_beta_ao_PBE(j,i,istate) + pot_grad_c_beta_ao_PBE(i,j,istate)
enddo
enddo
enddo
END_PROVIDER

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@ -1,185 +0,0 @@
BEGIN_PROVIDER[double precision, aos_vc_alpha_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_vc_beta_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_vx_alpha_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_vx_beta_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvc_alpha_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvc_beta_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvx_alpha_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dvx_beta_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvc_alpha_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvc_beta_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvx_alpha_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dvx_beta_PBE_w_new , (ao_num,n_points_final_grid,N_states)]
implicit none
BEGIN_DOC
! aos_vxc_alpha_PBE_w_new(j,i) = ao_i(r_j) * (v^x_alpha(r_j) + v^c_alpha(r_j)) * W(r_j)
END_DOC
integer :: istate,i,j,m
double precision :: r(3)
double precision :: mu,weight
double precision, allocatable :: ex(:), ec(:)
double precision, allocatable :: rho_a(:),rho_b(:),grad_rho_a(:,:),grad_rho_b(:,:),grad_rho_a_2(:),grad_rho_b_2(:),grad_rho_a_b(:)
double precision, allocatable :: contrib_grad_xa(:,:),contrib_grad_xb(:,:),contrib_grad_ca(:,:),contrib_grad_cb(:,:)
double precision, allocatable :: vc_rho_a(:), vc_rho_b(:), vx_rho_a(:), vx_rho_b(:)
double precision, allocatable :: vx_grad_rho_a_2(:), vx_grad_rho_b_2(:), vx_grad_rho_a_b(:), vc_grad_rho_a_2(:), vc_grad_rho_b_2(:), vc_grad_rho_a_b(:)
allocate(vc_rho_a(N_states), vc_rho_b(N_states), vx_rho_a(N_states), vx_rho_b(N_states))
allocate(vx_grad_rho_a_2(N_states), vx_grad_rho_b_2(N_states), vx_grad_rho_a_b(N_states), vc_grad_rho_a_2(N_states), vc_grad_rho_b_2(N_states), vc_grad_rho_a_b(N_states))
allocate(rho_a(N_states), rho_b(N_states),grad_rho_a(3,N_states),grad_rho_b(3,N_states))
allocate(grad_rho_a_2(N_states),grad_rho_b_2(N_states),grad_rho_a_b(N_states), ex(N_states), ec(N_states))
allocate(contrib_grad_xa(3,N_states),contrib_grad_xb(3,N_states),contrib_grad_ca(3,N_states),contrib_grad_cb(3,N_states))
do istate = 1, N_states
do i = 1, n_points_final_grid
r(1) = final_grid_points(1,i)
r(2) = final_grid_points(2,i)
r(3) = final_grid_points(3,i)
weight = final_weight_at_r_vector(i)
rho_a(istate) = one_e_dm_and_grad_alpha_in_r(4,i,istate)
rho_b(istate) = one_e_dm_and_grad_beta_in_r(4,i,istate)
grad_rho_a(1:3,istate) = one_e_dm_and_grad_alpha_in_r(1:3,i,istate)
grad_rho_b(1:3,istate) = one_e_dm_and_grad_beta_in_r(1:3,i,istate)
grad_rho_a_2 = 0.d0
grad_rho_b_2 = 0.d0
grad_rho_a_b = 0.d0
do m = 1, 3
grad_rho_a_2(istate) += grad_rho_a(m,istate) * grad_rho_a(m,istate)
grad_rho_b_2(istate) += grad_rho_b(m,istate) * grad_rho_b(m,istate)
grad_rho_a_b(istate) += grad_rho_a(m,istate) * grad_rho_b(m,istate)
enddo
! inputs
call GGA_type_functionals(r,rho_a,rho_b,grad_rho_a_2,grad_rho_b_2,grad_rho_a_b, & ! outputs exchange
ex,vx_rho_a,vx_rho_b,vx_grad_rho_a_2,vx_grad_rho_b_2,vx_grad_rho_a_b, & ! outputs correlation
ec,vc_rho_a,vc_rho_b,vc_grad_rho_a_2,vc_grad_rho_b_2,vc_grad_rho_a_b )
vx_rho_a(istate) *= weight
vc_rho_a(istate) *= weight
vx_rho_b(istate) *= weight
vc_rho_b(istate) *= weight
do m= 1,3
contrib_grad_ca(m,istate) = weight * (2.d0 * vc_grad_rho_a_2(istate) * grad_rho_a(m,istate) + vc_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_xa(m,istate) = weight * (2.d0 * vx_grad_rho_a_2(istate) * grad_rho_a(m,istate) + vx_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_cb(m,istate) = weight * (2.d0 * vc_grad_rho_b_2(istate) * grad_rho_b(m,istate) + vc_grad_rho_a_b(istate) * grad_rho_a(m,istate))
contrib_grad_xb(m,istate) = weight * (2.d0 * vx_grad_rho_b_2(istate) * grad_rho_b(m,istate) + vx_grad_rho_a_b(istate) * grad_rho_a(m,istate))
enddo
do j = 1, ao_num
aos_vc_alpha_PBE_w_new(j,i,istate) = vc_rho_a(istate) * aos_in_r_array(j,i)
aos_vc_beta_PBE_w_new (j,i,istate) = vc_rho_b(istate) * aos_in_r_array(j,i)
aos_vx_alpha_PBE_w_new(j,i,istate) = vx_rho_a(istate) * aos_in_r_array(j,i)
aos_vx_beta_PBE_w_new (j,i,istate) = vx_rho_b(istate) * aos_in_r_array(j,i)
enddo
do j = 1, ao_num
do m = 1,3
aos_dvc_alpha_PBE_w_new(j,i,istate) += contrib_grad_ca(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dvc_beta_PBE_w_new (j,i,istate) += contrib_grad_cb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dvx_alpha_PBE_w_new(j,i,istate) += contrib_grad_xa(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dvx_beta_PBE_w_new (j,i,istate) += contrib_grad_xb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
enddo
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [double precision, pot_scal_x_alpha_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_scal_c_alpha_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_scal_x_beta_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_scal_c_beta_ao_PBE, (ao_num,ao_num,N_states)]
implicit none
integer :: istate
pot_scal_c_alpha_ao_PBE = 0.d0
pot_scal_x_alpha_ao_PBE = 0.d0
pot_scal_c_beta_ao_PBE = 0.d0
pot_scal_x_beta_ao_PBE = 0.d0
double precision :: wall_1,wall_2
call wall_time(wall_1)
do istate = 1, N_states
! correlation alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vc_alpha_PBE_w_new(1,1,istate),size(aos_vc_alpha_PBE_w_new,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_c_alpha_ao_PBE(1,1,istate),size(pot_scal_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vc_beta_PBE_w_new(1,1,istate),size(aos_vc_beta_PBE_w_new,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_c_beta_ao_PBE(1,1,istate),size(pot_scal_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vx_alpha_PBE_w_new(1,1,istate),size(aos_vx_alpha_PBE_w_new,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_x_alpha_ao_PBE(1,1,istate),size(pot_scal_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_vx_beta_PBE_w_new(1,1,istate),size(aos_vx_beta_PBE_w_new,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_scal_x_beta_ao_PBE(1,1,istate), size(pot_scal_x_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, pot_grad_x_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_grad_x_beta_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_grad_c_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_grad_c_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_DOC
! exchange/correlation alpha/beta pot_grads with the short range PBE functional on the AO basis
END_DOC
integer :: istate
double precision :: wall_1,wall_2
call wall_time(wall_1)
pot_grad_c_alpha_ao_PBE = 0.d0
pot_grad_x_alpha_ao_PBE = 0.d0
pot_grad_c_beta_ao_PBE = 0.d0
pot_grad_x_beta_ao_PBE = 0.d0
do istate = 1, N_states
! correlation alpha
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvc_alpha_PBE_w_new(1,1,istate),size(aos_dvc_alpha_PBE_w_new,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_c_alpha_ao_PBE(1,1,istate),size(pot_grad_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvc_beta_PBE_w_new(1,1,istate),size(aos_dvc_beta_PBE_w_new,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_c_beta_ao_PBE(1,1,istate),size(pot_grad_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvc_alpha_PBE_w_new(1,1,istate),size(aos_dvc_alpha_PBE_w_new,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_x_alpha_ao_PBE(1,1,istate),size(pot_grad_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dvc_beta_PBE_w_new(1,1,istate),size(aos_dvc_beta_PBE_w_new,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_grad_x_beta_ao_PBE(1,1,istate),size(pot_grad_x_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, potential_x_alpha_ao_PBE_new,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_x_beta_ao_PBE_new,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_c_alpha_ao_PBE_new,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_c_beta_ao_PBE_new,(ao_num,ao_num,N_states)]
implicit none
integer :: i,j,istate
do istate = 1, n_states
do i = 1, ao_num
do j = 1, ao_num
potential_x_alpha_ao_PBE_new(j,i,istate) = pot_scal_x_alpha_ao_PBE(j,i,istate) + pot_grad_x_alpha_ao_PBE(j,i,istate) + pot_grad_x_alpha_ao_PBE(i,j,istate)
potential_c_alpha_ao_PBE_new(j,i,istate) = pot_scal_c_alpha_ao_PBE(j,i,istate) + pot_grad_c_alpha_ao_PBE(j,i,istate) + pot_grad_c_alpha_ao_PBE(i,j,istate)
potential_x_beta_ao_PBE_new(j,i,istate) = pot_scal_x_beta_ao_PBE(j,i,istate) + pot_grad_x_beta_ao_PBE(j,i,istate) + pot_grad_x_beta_ao_PBE(i,j,istate)
potential_c_beta_ao_PBE_new(j,i,istate) = pot_scal_c_beta_ao_PBE(j,i,istate) + pot_grad_c_beta_ao_PBE(j,i,istate) + pot_grad_c_beta_ao_PBE(i,j,istate)
enddo
enddo
enddo
END_PROVIDER

View File

@ -1,29 +1,25 @@
BEGIN_PROVIDER[double precision, aos_sr_vc_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)] !(n_points_final_grid,ao_num,N_states)]
&BEGIN_PROVIDER[double precision, aos_sr_vc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]!(n_points_final_grid,ao_num,N_states)]
&BEGIN_PROVIDER[double precision, aos_sr_vx_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)] !(n_points_final_grid,ao_num,N_states)]
&BEGIN_PROVIDER[double precision, aos_sr_vx_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]!(n_points_final_grid,ao_num,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vc_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vc_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vx_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vx_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dsr_vc_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dsr_vc_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dsr_vx_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
&BEGIN_PROVIDER[double precision, grad_aos_dsr_vx_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
BEGIN_PROVIDER[double precision, aos_sr_vc_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_sr_vc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_sr_vx_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_sr_vx_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vc_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vx_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vx_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
implicit none
BEGIN_DOC
! aos_vxc_alpha_PBE_w(j,i) = ao_i(r_j) * (v^x_alpha(r_j) + v^c_alpha(r_j)) * W(r_j)
! aos_sr_vxc_alpha_PBE_w(j,i) = ao_i(r_j) * (v^x_alpha(r_j) + v^c_alpha(r_j)) * W(r_j)
END_DOC
integer :: istate,i,j,m
double precision :: r(3)
double precision :: mu,weight
double precision, allocatable :: ex(:), ec(:)
double precision, allocatable :: rho_a(:),rho_b(:),grad_rho_a(:,:),grad_rho_b(:,:),grad_rho_a_2(:),grad_rho_b_2(:),grad_rho_a_b(:)
double precision, allocatable :: contrib_grad_xa(:,:),contrib_grad_xb(:,:),contrib_grad_ca(:,:),contrib_grad_cb(:,:)
double precision, allocatable :: sr_vc_rho_a(:), sr_vc_rho_b(:), sr_vx_rho_a(:), sr_vx_rho_b(:)
double precision, allocatable :: sr_vx_grad_rho_a_2(:), sr_vx_grad_rho_b_2(:), sr_vx_grad_rho_a_b(:), sr_vc_grad_rho_a_2(:), sr_vc_grad_rho_b_2(:), sr_vc_grad_rho_a_b(:)
allocate(sr_vc_rho_a(N_states), sr_vc_rho_b(N_states), sr_vx_rho_a(N_states), sr_vx_rho_b(N_states))
allocate(sr_vx_grad_rho_a_2(N_states), sr_vx_grad_rho_b_2(N_states), sr_vx_grad_rho_a_b(N_states), sr_vc_grad_rho_a_2(N_states), sr_vc_grad_rho_b_2(N_states), sr_vc_grad_rho_a_b(N_states))
integer :: istate,i,j,m
double precision :: r(3)
double precision :: mu,weight
double precision, allocatable :: ex(:), ec(:)
double precision, allocatable :: rho_a(:),rho_b(:),grad_rho_a(:,:),grad_rho_b(:,:),grad_rho_a_2(:),grad_rho_b_2(:),grad_rho_a_b(:)
double precision, allocatable :: contrib_grad_xa(:,:),contrib_grad_xb(:,:),contrib_grad_ca(:,:),contrib_grad_cb(:,:)
double precision, allocatable :: vc_rho_a(:), vc_rho_b(:), vx_rho_a(:), vx_rho_b(:)
double precision, allocatable :: vx_grad_rho_a_2(:), vx_grad_rho_b_2(:), vx_grad_rho_a_b(:), vc_grad_rho_a_2(:), vc_grad_rho_b_2(:), vc_grad_rho_a_b(:)
allocate(vc_rho_a(N_states), vc_rho_b(N_states), vx_rho_a(N_states), vx_rho_b(N_states))
allocate(vx_grad_rho_a_2(N_states), vx_grad_rho_b_2(N_states), vx_grad_rho_a_b(N_states), vc_grad_rho_a_2(N_states), vc_grad_rho_b_2(N_states), vc_grad_rho_a_b(N_states))
allocate(rho_a(N_states), rho_b(N_states),grad_rho_a(3,N_states),grad_rho_b(3,N_states))
@ -50,114 +46,142 @@
! inputs
call GGA_sr_type_functionals(r,rho_a,rho_b,grad_rho_a_2,grad_rho_b_2,grad_rho_a_b, & ! outputs exchange
ex,sr_vx_rho_a,sr_vx_rho_b,sr_vx_grad_rho_a_2,sr_vx_grad_rho_b_2,sr_vx_grad_rho_a_b, & ! outputs correlation
ec,sr_vc_rho_a,sr_vc_rho_b,sr_vc_grad_rho_a_2,sr_vc_grad_rho_b_2,sr_vc_grad_rho_a_b )
sr_vx_rho_a(istate) *= weight
sr_vc_rho_a(istate) *= weight
sr_vx_rho_b(istate) *= weight
sr_vc_rho_b(istate) *= weight
do m= 1,3
contrib_grad_ca(m,istate) = weight * (2.d0 * sr_vc_grad_rho_a_2(istate) * grad_rho_a(m,istate) + sr_vc_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_xa(m,istate) = weight * (2.d0 * sr_vx_grad_rho_a_2(istate) * grad_rho_a(m,istate) + sr_vx_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_cb(m,istate) = weight * (2.d0 * sr_vc_grad_rho_b_2(istate) * grad_rho_b(m,istate) + sr_vc_grad_rho_a_b(istate) * grad_rho_a(m,istate))
contrib_grad_xb(m,istate) = weight * (2.d0 * sr_vx_grad_rho_b_2(istate) * grad_rho_b(m,istate) + sr_vx_grad_rho_a_b(istate) * grad_rho_a(m,istate))
enddo
do j = 1, ao_num
aos_sr_vc_alpha_PBE_w(j,i,istate) = sr_vc_rho_a(istate) * aos_in_r_array(j,i)
aos_sr_vc_beta_PBE_w (j,i,istate) = sr_vc_rho_b(istate) * aos_in_r_array(j,i)
aos_sr_vx_alpha_PBE_w(j,i,istate) = sr_vx_rho_a(istate) * aos_in_r_array(j,i)
aos_sr_vx_beta_PBE_w (j,i,istate) = sr_vx_rho_b(istate) * aos_in_r_array(j,i)
do m = 1,3
aos_dsr_vc_alpha_PBE_w(j,i,m,istate) = contrib_grad_ca(m,istate) * aos_in_r_array(j,i)
aos_dsr_vc_beta_PBE_w (j,i,m,istate) = contrib_grad_cb(m,istate) * aos_in_r_array(j,i)
aos_dsr_vx_alpha_PBE_w(j,i,m,istate) = contrib_grad_xa(m,istate) * aos_in_r_array(j,i)
aos_dsr_vx_beta_PBE_w (j,i,m,istate) = contrib_grad_xb(m,istate) * aos_in_r_array(j,i)
grad_aos_dsr_vc_alpha_PBE_w (j,i,m,istate) = contrib_grad_ca(m,istate) * aos_grad_in_r_array(j,i,m)
grad_aos_dsr_vc_beta_PBE_w (j,i,m,istate) = contrib_grad_cb(m,istate) * aos_grad_in_r_array(j,i,m)
grad_aos_dsr_vx_alpha_PBE_w (j,i,m,istate) = contrib_grad_xa(m,istate) * aos_grad_in_r_array(j,i,m)
grad_aos_dsr_vx_beta_PBE_w (j,i,m,istate) = contrib_grad_xb(m,istate) * aos_grad_in_r_array(j,i,m)
enddo
ex,vx_rho_a,vx_rho_b,vx_grad_rho_a_2,vx_grad_rho_b_2,vx_grad_rho_a_b, & ! outputs correlation
ec,vc_rho_a,vc_rho_b,vc_grad_rho_a_2,vc_grad_rho_b_2,vc_grad_rho_a_b )
vx_rho_a(istate) *= weight
vc_rho_a(istate) *= weight
vx_rho_b(istate) *= weight
vc_rho_b(istate) *= weight
do m= 1,3
contrib_grad_ca(m,istate) = weight * (2.d0 * vc_grad_rho_a_2(istate) * grad_rho_a(m,istate) + vc_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_xa(m,istate) = weight * (2.d0 * vx_grad_rho_a_2(istate) * grad_rho_a(m,istate) + vx_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_cb(m,istate) = weight * (2.d0 * vc_grad_rho_b_2(istate) * grad_rho_b(m,istate) + vc_grad_rho_a_b(istate) * grad_rho_a(m,istate))
contrib_grad_xb(m,istate) = weight * (2.d0 * vx_grad_rho_b_2(istate) * grad_rho_b(m,istate) + vx_grad_rho_a_b(istate) * grad_rho_a(m,istate))
enddo
do j = 1, ao_num
aos_sr_vc_alpha_PBE_w(j,i,istate) = vc_rho_a(istate) * aos_in_r_array(j,i)
aos_sr_vc_beta_PBE_w (j,i,istate) = vc_rho_b(istate) * aos_in_r_array(j,i)
aos_sr_vx_alpha_PBE_w(j,i,istate) = vx_rho_a(istate) * aos_in_r_array(j,i)
aos_sr_vx_beta_PBE_w (j,i,istate) = vx_rho_b(istate) * aos_in_r_array(j,i)
enddo
do j = 1, ao_num
do m = 1,3
aos_dsr_vc_alpha_PBE_w(j,i,istate) += contrib_grad_ca(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dsr_vc_beta_PBE_w (j,i,istate) += contrib_grad_cb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dsr_vx_alpha_PBE_w(j,i,istate) += contrib_grad_xa(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dsr_vx_beta_PBE_w (j,i,istate) += contrib_grad_xb(m,istate) * aos_grad_in_r_array_transp_xyz(m,j,i)
enddo
enddo
enddo
enddo
END_PROVIDER
END_PROVIDER
BEGIN_PROVIDER [double precision, pot_sr_scal_x_alpha_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_scal_c_alpha_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_scal_x_beta_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_scal_c_beta_ao_PBE, (ao_num,ao_num,N_states)]
implicit none
integer :: istate
BEGIN_DOC
! intermediate quantity for the calculation of the vxc potentials for the GGA functionals related to the scalar part of the potential
END_DOC
pot_sr_scal_c_alpha_ao_PBE = 0.d0
pot_sr_scal_x_alpha_ao_PBE = 0.d0
pot_sr_scal_c_beta_ao_PBE = 0.d0
pot_sr_scal_x_beta_ao_PBE = 0.d0
double precision :: wall_1,wall_2
call wall_time(wall_1)
do istate = 1, N_states
! correlation alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vc_alpha_PBE_w(1,1,istate),size(aos_sr_vc_alpha_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_sr_scal_c_alpha_ao_PBE(1,1,istate),size(pot_sr_scal_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vc_beta_PBE_w(1,1,istate),size(aos_sr_vc_beta_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_sr_scal_c_beta_ao_PBE(1,1,istate),size(pot_sr_scal_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vx_alpha_PBE_w(1,1,istate),size(aos_sr_vx_alpha_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_sr_scal_x_alpha_ao_PBE(1,1,istate),size(pot_sr_scal_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vx_beta_PBE_w(1,1,istate),size(aos_sr_vx_beta_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_sr_scal_x_beta_ao_PBE(1,1,istate), size(pot_sr_scal_x_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, pot_sr_grad_x_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_grad_x_beta_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_grad_c_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_grad_c_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_DOC
! intermediate quantity for the calculation of the vxc potentials for the GGA functionals related to the gradienst of the density and orbitals
END_DOC
integer :: istate
double precision :: wall_1,wall_2
call wall_time(wall_1)
pot_sr_grad_c_alpha_ao_PBE = 0.d0
pot_sr_grad_x_alpha_ao_PBE = 0.d0
pot_sr_grad_c_beta_ao_PBE = 0.d0
pot_sr_grad_x_beta_ao_PBE = 0.d0
do istate = 1, N_states
! correlation alpha
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vc_alpha_PBE_w(1,1,istate),size(aos_dsr_vc_alpha_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_sr_grad_c_alpha_ao_PBE(1,1,istate),size(pot_sr_grad_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vc_beta_PBE_w(1,1,istate),size(aos_dsr_vc_beta_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_sr_grad_c_beta_ao_PBE(1,1,istate),size(pot_sr_grad_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vx_alpha_PBE_w(1,1,istate),size(aos_dsr_vx_alpha_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_sr_grad_x_alpha_ao_PBE(1,1,istate),size(pot_sr_grad_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vx_beta_PBE_w(1,1,istate),size(aos_dsr_vx_beta_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_sr_grad_x_beta_ao_PBE(1,1,istate),size(pot_sr_grad_x_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, potential_sr_x_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_sr_x_beta_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_sr_c_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_sr_c_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_DOC
! exchange/correlation alpha/beta potentials with the short range PBE functional on the AO basis
END_DOC
integer :: istate, m
double precision :: wall_1,wall_2
potential_sr_c_alpha_ao_PBE = 0.d0
potential_sr_x_alpha_ao_PBE = 0.d0
potential_sr_c_beta_ao_PBE = 0.d0
potential_sr_x_beta_ao_PBE = 0.d0
do istate = 1, N_states
! correlation alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vc_alpha_PBE_w(1,1,istate),size(aos_sr_vc_alpha_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_c_alpha_ao_PBE(1,1,istate),size(potential_sr_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vc_beta_PBE_w(1,1,istate),size(aos_sr_vc_beta_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_c_beta_ao_PBE(1,1,istate),size(potential_sr_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vx_alpha_PBE_w(1,1,istate),size(aos_sr_vx_alpha_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_x_alpha_ao_PBE(1,1,istate),size(potential_sr_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vx_beta_PBE_w(1,1,istate),size(aos_sr_vx_beta_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_x_beta_ao_PBE(1,1,istate), size(potential_sr_x_beta_ao_PBE,1))
do m= 1,3
! correlation alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vc_alpha_PBE_w(1,1,m,istate),size(aos_dsr_vc_alpha_PBE_w,1),&
aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,&
potential_sr_c_alpha_ao_PBE(1,1,istate),size(potential_sr_c_alpha_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
grad_aos_dsr_vc_alpha_PBE_w(1,1,m,istate),size(grad_aos_dsr_vc_alpha_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_c_alpha_ao_PBE(1,1,istate),size(potential_sr_c_alpha_ao_PBE,1))
! correlation beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vc_beta_PBE_w(1,1,m,istate),size(aos_dsr_vc_beta_PBE_w,1),&
aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,&
potential_sr_c_beta_ao_PBE(1,1,istate),size(potential_sr_c_beta_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
grad_aos_dsr_vc_beta_PBE_w(1,1,m,istate),size(grad_aos_dsr_vc_beta_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_c_beta_ao_PBE(1,1,istate),size(potential_sr_c_beta_ao_PBE,1))
! exchange alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vx_alpha_PBE_w(1,1,m,istate),size(aos_dsr_vx_alpha_PBE_w,1),&
aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,&
potential_sr_x_alpha_ao_PBE(1,1,istate),size(potential_sr_x_alpha_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
grad_aos_dsr_vx_alpha_PBE_w(1,1,m,istate),size(grad_aos_dsr_vx_alpha_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_x_alpha_ao_PBE(1,1,istate),size(potential_sr_x_alpha_ao_PBE,1))
! exchange beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vx_beta_PBE_w(1,1,m,istate),size(aos_dsr_vx_beta_PBE_w,1),&
aos_grad_in_r_array(1,1,m),size(aos_grad_in_r_array,1),1.d0,&
potential_sr_x_beta_ao_PBE(1,1,istate),size(potential_sr_x_beta_ao_PBE,1))
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
grad_aos_dsr_vx_beta_PBE_w(1,1,m,istate),size(grad_aos_dsr_vx_beta_PBE_w,1),&
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
potential_sr_x_beta_ao_PBE(1,1,istate),size(potential_sr_x_beta_ao_PBE,1))
BEGIN_DOC
! exchange / correlation potential for alpha / beta electrons with the Perdew-Burke-Ernzerhof GGA functional
END_DOC
integer :: i,j,istate
do istate = 1, n_states
do i = 1, ao_num
do j = 1, ao_num
potential_sr_x_alpha_ao_PBE(j,i,istate) = pot_sr_scal_x_alpha_ao_PBE(j,i,istate) + pot_sr_grad_x_alpha_ao_PBE(j,i,istate) + pot_sr_grad_x_alpha_ao_PBE(i,j,istate)
potential_sr_x_beta_ao_PBE(j,i,istate) = pot_sr_scal_x_beta_ao_PBE(j,i,istate) + pot_sr_grad_x_beta_ao_PBE(j,i,istate) + pot_sr_grad_x_beta_ao_PBE(i,j,istate)
potential_sr_c_alpha_ao_PBE(j,i,istate) = pot_sr_scal_c_alpha_ao_PBE(j,i,istate) + pot_sr_grad_c_alpha_ao_PBE(j,i,istate) + pot_sr_grad_c_alpha_ao_PBE(i,j,istate)
potential_sr_c_beta_ao_PBE(j,i,istate) = pot_sr_scal_c_beta_ao_PBE(j,i,istate) + pot_sr_grad_c_beta_ao_PBE(j,i,istate) + pot_sr_grad_c_beta_ao_PBE(i,j,istate)
enddo
enddo
enddo
END_PROVIDER
END_PROVIDER

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@ -0,0 +1,145 @@
BEGIN_PROVIDER[double precision, aos_sr_vxc_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_sr_vxc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vxc_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
&BEGIN_PROVIDER[double precision, aos_dsr_vxc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
implicit none
BEGIN_DOC
! aos_sr_vxc_alpha_PBE_w(j,i) = ao_i(r_j) * (v^x_alpha(r_j) + v^c_alpha(r_j)) * W(r_j)
END_DOC
integer :: istate,i,j,m
double precision :: r(3)
double precision :: mu,weight
double precision, allocatable :: ex(:), ec(:)
double precision, allocatable :: rho_a(:),rho_b(:),grad_rho_a(:,:),grad_rho_b(:,:),grad_rho_a_2(:),grad_rho_b_2(:),grad_rho_a_b(:)
double precision, allocatable :: contrib_grad_xa(:,:),contrib_grad_xb(:,:),contrib_grad_ca(:,:),contrib_grad_cb(:,:)
double precision, allocatable :: vc_rho_a(:), vc_rho_b(:), vx_rho_a(:), vx_rho_b(:)
double precision, allocatable :: vx_grad_rho_a_2(:), vx_grad_rho_b_2(:), vx_grad_rho_a_b(:), vc_grad_rho_a_2(:), vc_grad_rho_b_2(:), vc_grad_rho_a_b(:)
allocate(vc_rho_a(N_states), vc_rho_b(N_states), vx_rho_a(N_states), vx_rho_b(N_states))
allocate(vx_grad_rho_a_2(N_states), vx_grad_rho_b_2(N_states), vx_grad_rho_a_b(N_states), vc_grad_rho_a_2(N_states), vc_grad_rho_b_2(N_states), vc_grad_rho_a_b(N_states))
allocate(rho_a(N_states), rho_b(N_states),grad_rho_a(3,N_states),grad_rho_b(3,N_states))
allocate(grad_rho_a_2(N_states),grad_rho_b_2(N_states),grad_rho_a_b(N_states), ex(N_states), ec(N_states))
allocate(contrib_grad_xa(3,N_states),contrib_grad_xb(3,N_states),contrib_grad_ca(3,N_states),contrib_grad_cb(3,N_states))
do istate = 1, N_states
do i = 1, n_points_final_grid
r(1) = final_grid_points(1,i)
r(2) = final_grid_points(2,i)
r(3) = final_grid_points(3,i)
weight = final_weight_at_r_vector(i)
rho_a(istate) = one_e_dm_and_grad_alpha_in_r(4,i,istate)
rho_b(istate) = one_e_dm_and_grad_beta_in_r(4,i,istate)
grad_rho_a(1:3,istate) = one_e_dm_and_grad_alpha_in_r(1:3,i,istate)
grad_rho_b(1:3,istate) = one_e_dm_and_grad_beta_in_r(1:3,i,istate)
grad_rho_a_2 = 0.d0
grad_rho_b_2 = 0.d0
grad_rho_a_b = 0.d0
do m = 1, 3
grad_rho_a_2(istate) += grad_rho_a(m,istate) * grad_rho_a(m,istate)
grad_rho_b_2(istate) += grad_rho_b(m,istate) * grad_rho_b(m,istate)
grad_rho_a_b(istate) += grad_rho_a(m,istate) * grad_rho_b(m,istate)
enddo
! inputs
call GGA_sr_type_functionals(r,rho_a,rho_b,grad_rho_a_2,grad_rho_b_2,grad_rho_a_b, & ! outputs exchange
ex,vx_rho_a,vx_rho_b,vx_grad_rho_a_2,vx_grad_rho_b_2,vx_grad_rho_a_b, & ! outputs correlation
ec,vc_rho_a,vc_rho_b,vc_grad_rho_a_2,vc_grad_rho_b_2,vc_grad_rho_a_b )
vx_rho_a(istate) *= weight
vc_rho_a(istate) *= weight
vx_rho_b(istate) *= weight
vc_rho_b(istate) *= weight
do m= 1,3
contrib_grad_ca(m,istate) = weight * (2.d0 * vc_grad_rho_a_2(istate) * grad_rho_a(m,istate) + vc_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_xa(m,istate) = weight * (2.d0 * vx_grad_rho_a_2(istate) * grad_rho_a(m,istate) + vx_grad_rho_a_b(istate) * grad_rho_b(m,istate))
contrib_grad_cb(m,istate) = weight * (2.d0 * vc_grad_rho_b_2(istate) * grad_rho_b(m,istate) + vc_grad_rho_a_b(istate) * grad_rho_a(m,istate))
contrib_grad_xb(m,istate) = weight * (2.d0 * vx_grad_rho_b_2(istate) * grad_rho_b(m,istate) + vx_grad_rho_a_b(istate) * grad_rho_a(m,istate))
enddo
do j = 1, ao_num
aos_sr_vxc_alpha_PBE_w(j,i,istate) = ( vc_rho_a(istate) + vx_rho_a(istate) ) * aos_in_r_array(j,i)
aos_sr_vc_beta_PBE_w (j,i,istate) = ( vc_rho_b(istate) + vx_rho_b(istate) ) * aos_in_r_array(j,i)
enddo
do j = 1, ao_num
do m = 1,3
aos_dsr_vc_alpha_PBE_w(j,i,istate) += ( contrib_grad_ca(m,istate) + contrib_grad_xa(m,istate) ) * aos_grad_in_r_array_transp_xyz(m,j,i)
aos_dsr_vc_beta_PBE_w (j,i,istate) += ( contrib_grad_cb(m,istate) + contrib_grad_xb(m,istate) ) * aos_grad_in_r_array_transp_xyz(m,j,i)
enddo
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [double precision, pot_sr_scal_xc_alpha_ao_PBE, (ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_scal_xc_beta_ao_PBE, (ao_num,ao_num,N_states)]
implicit none
integer :: istate
BEGIN_DOC
! intermediate quantity for the calculation of the vxc potentials for the GGA functionals related to the scalar part of the potential
END_DOC
pot_sr_scal_xc_alpha_ao_PBE = 0.d0
pot_sr_scal_xc_beta_ao_PBE = 0.d0
double precision :: wall_1,wall_2
call wall_time(wall_1)
do istate = 1, N_states
! exchange - correlation alpha
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vxc_alpha_PBE_w(1,1,istate),size(aos_sr_vxc_alpha_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_sr_scal_xc_alpha_ao_PBE(1,1,istate),size(pot_sr_scal_xc_alpha_ao_PBE,1))
! exchange - correlation beta
call dgemm('N','T',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_sr_vxc_beta_PBE_w(1,1,istate),size(aos_sr_vxc_beta_PBE_w,1), &
aos_in_r_array,size(aos_in_r_array,1),1.d0, &
pot_sr_scal_xc_beta_ao_PBE(1,1,istate),size(pot_sr_scal_xc_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, pot_sr_grad_xc_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, pot_sr_grad_xc_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_DOC
! intermediate quantity for the calculation of the vxc potentials for the GGA functionals related to the gradienst of the density and orbitals
END_DOC
integer :: istate
double precision :: wall_1,wall_2
call wall_time(wall_1)
pot_sr_grad_xc_alpha_ao_PBE = 0.d0
pot_sr_grad_xc_alpha_ao_PBE = 0.d0
do istate = 1, N_states
! exchange - correlation alpha
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vxc_alpha_PBE_w(1,1,istate),size(aos_dsr_vxc_alpha_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_sr_grad_xc_alpha_ao_PBE(1,1,istate),size(pot_sr_grad_xc_alpha_ao_PBE,1))
! exchange - correlation beta
call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0, &
aos_dsr_vxc_beta_PBE_w(1,1,istate),size(aos_dsr_vxc_beta_PBE_w,1), &
aos_in_r_array_transp,size(aos_in_r_array_transp,1),1.d0, &
pot_sr_grad_xc_beta_ao_PBE(1,1,istate),size(pot_sr_grad_xc_beta_ao_PBE,1))
enddo
call wall_time(wall_2)
END_PROVIDER
BEGIN_PROVIDER [double precision, potential_sr_xc_alpha_ao_PBE,(ao_num,ao_num,N_states)]
&BEGIN_PROVIDER [double precision, potential_sr_xc_beta_ao_PBE,(ao_num,ao_num,N_states)]
implicit none
BEGIN_DOC
! exchange / correlation potential for alpha / beta electrons with the Perdew-Burke-Ernzerhof GGA functional
END_DOC
integer :: i,j,istate
do istate = 1, n_states
do i = 1, ao_num
do j = 1, ao_num
potential_sr_xc_alpha_ao_PBE(j,i,istate) = pot_sr_scal_xc_alpha_ao_PBE(j,i,istate) + pot_sr_grad_xc_alpha_ao_PBE(j,i,istate) + pot_sr_grad_xc_alpha_ao_PBE(i,j,istate)
potential_sr_xc_beta_ao_PBE(j,i,istate) = pot_sr_scal_xc_beta_ao_PBE(j,i,istate) + pot_sr_grad_xc_beta_ao_PBE(j,i,istate) + pot_sr_grad_xc_beta_ao_PBE(i,j,istate)
enddo
enddo
enddo
END_PROVIDER

View File

@ -1 +1,2 @@
mpi
zmq