2019-01-25 11:39:31 +01:00
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BEGIN_PROVIDER[double precision, aos_vc_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
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&BEGIN_PROVIDER[double precision, aos_vc_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
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&BEGIN_PROVIDER[double precision, aos_vx_alpha_PBE_w , (ao_num,n_points_final_grid,N_states)]
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&BEGIN_PROVIDER[double precision, aos_vx_beta_PBE_w , (ao_num,n_points_final_grid,N_states)]
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&BEGIN_PROVIDER[double precision, aos_dvc_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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&BEGIN_PROVIDER[double precision, aos_dvc_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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&BEGIN_PROVIDER[double precision, aos_dvx_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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&BEGIN_PROVIDER[double precision, aos_dvx_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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&BEGIN_PROVIDER[double precision, grad_aos_dvc_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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&BEGIN_PROVIDER[double precision, grad_aos_dvc_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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&BEGIN_PROVIDER[double precision, grad_aos_dvx_alpha_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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&BEGIN_PROVIDER[double precision, grad_aos_dvx_beta_PBE_w , (ao_num,n_points_final_grid,3,N_states)]
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implicit none
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BEGIN_DOC
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! aos_vxc_alpha_PBE_w(j,i) = ao_i(r_j) * (v^x_alpha(r_j) + v^c_alpha(r_j)) * W(r_j)
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END_DOC
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integer :: istate,i,j,m
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double precision :: r(3)
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double precision :: mu,weight
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double precision, allocatable :: ex(:), ec(:)
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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(:)
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double precision, allocatable :: contrib_grad_xa(:,:),contrib_grad_xb(:,:),contrib_grad_ca(:,:),contrib_grad_cb(:,:)
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double precision, allocatable :: vc_rho_a(:), vc_rho_b(:), vx_rho_a(:), vx_rho_b(:)
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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(:)
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allocate(vc_rho_a(N_states), vc_rho_b(N_states), vx_rho_a(N_states), vx_rho_b(N_states))
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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))
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allocate(rho_a(N_states), rho_b(N_states),grad_rho_a(3,N_states),grad_rho_b(3,N_states))
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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))
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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))
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do istate = 1, N_states
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do i = 1, n_points_final_grid
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r(1) = final_grid_points(1,i)
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r(2) = final_grid_points(2,i)
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r(3) = final_grid_points(3,i)
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weight = final_weight_at_r_vector(i)
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rho_a(istate) = one_e_dm_and_grad_alpha_in_r(4,i,istate)
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rho_b(istate) = one_e_dm_and_grad_beta_in_r(4,i,istate)
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grad_rho_a(1:3,istate) = one_e_dm_and_grad_alpha_in_r(1:3,i,istate)
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grad_rho_b(1:3,istate) = one_e_dm_and_grad_beta_in_r(1:3,i,istate)
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grad_rho_a_2 = 0.d0
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grad_rho_b_2 = 0.d0
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grad_rho_a_b = 0.d0
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do m = 1, 3
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grad_rho_a_2(istate) += grad_rho_a(m,istate) * grad_rho_a(m,istate)
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grad_rho_b_2(istate) += grad_rho_b(m,istate) * grad_rho_b(m,istate)
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grad_rho_a_b(istate) += grad_rho_a(m,istate) * grad_rho_b(m,istate)
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enddo
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! inputs
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call GGA_type_functionals(r,rho_a,rho_b,grad_rho_a_2,grad_rho_b_2,grad_rho_a_b, & ! outputs exchange
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ex,vx_rho_a,vx_rho_b,vx_grad_rho_a_2,vx_grad_rho_b_2,vx_grad_rho_a_b, & ! outputs correlation
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ec,vc_rho_a,vc_rho_b,vc_grad_rho_a_2,vc_grad_rho_b_2,vc_grad_rho_a_b )
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vx_rho_a(istate) *= weight
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vc_rho_a(istate) *= weight
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vx_rho_b(istate) *= weight
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vc_rho_b(istate) *= weight
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do m= 1,3
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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))
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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))
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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))
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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))
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enddo
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do j = 1, ao_num
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aos_vc_alpha_PBE_w(j,i,istate) = vc_rho_a(istate) * aos_in_r_array(j,i)
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aos_vc_beta_PBE_w (j,i,istate) = vc_rho_b(istate) * aos_in_r_array(j,i)
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aos_vx_alpha_PBE_w(j,i,istate) = vx_rho_a(istate) * aos_in_r_array(j,i)
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aos_vx_beta_PBE_w (j,i,istate) = vx_rho_b(istate) * aos_in_r_array(j,i)
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enddo
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do m = 1,3
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do j = 1, ao_num
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aos_dvc_alpha_PBE_w(j,i,m,istate) = contrib_grad_ca(m,istate) * aos_in_r_array(j,i)
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aos_dvc_beta_PBE_w (j,i,m,istate) = contrib_grad_cb(m,istate) * aos_in_r_array(j,i)
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aos_dvx_alpha_PBE_w(j,i,m,istate) = contrib_grad_xa(m,istate) * aos_in_r_array(j,i)
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aos_dvx_beta_PBE_w (j,i,m,istate) = contrib_grad_xb(m,istate) * aos_in_r_array(j,i)
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2019-02-11 18:39:43 +01:00
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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)
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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)
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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)
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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)
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2019-01-25 11:39:31 +01:00
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enddo
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enddo
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [double precision, potential_x_alpha_ao_PBE,(ao_num,ao_num,N_states)]
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&BEGIN_PROVIDER [double precision, potential_x_beta_ao_PBE,(ao_num,ao_num,N_states)]
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&BEGIN_PROVIDER [double precision, potential_c_alpha_ao_PBE,(ao_num,ao_num,N_states)]
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&BEGIN_PROVIDER [double precision, potential_c_beta_ao_PBE,(ao_num,ao_num,N_states)]
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implicit none
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BEGIN_DOC
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! exchange/correlation alpha/beta potentials with the short range PBE functional on the AO basis
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END_DOC
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integer :: istate, m
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double precision :: wall_1,wall_2
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call wall_time(wall_1)
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potential_c_alpha_ao_PBE = 0.d0
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potential_x_alpha_ao_PBE = 0.d0
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potential_c_beta_ao_PBE = 0.d0
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potential_x_beta_ao_PBE = 0.d0
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do istate = 1, N_states
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! correlation alpha
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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))
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! correlation beta
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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))
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! exchange alpha
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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))
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! exchange beta
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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))
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do m= 1,3
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! correlation alpha
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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))
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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))
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! correlation beta
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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))
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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))
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! exchange alpha
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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))
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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))
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! exchange beta
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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))
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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))
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enddo
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enddo
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call wall_time(wall_2)
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END_PROVIDER
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