From 3580fa39dd92d55e66b4cefe62d2ef5badf148ef Mon Sep 17 00:00:00 2001 From: Emmanuel Giner Date: Mon, 24 Dec 2018 00:04:09 +0100 Subject: [PATCH] added pot_ao.irp.f --- src/dft_utils_one_e/pot_ao.irp.f | 190 +++++++++++++++++++++++++++++++ 1 file changed, 190 insertions(+) create mode 100644 src/dft_utils_one_e/pot_ao.irp.f diff --git a/src/dft_utils_one_e/pot_ao.irp.f b/src/dft_utils_one_e/pot_ao.irp.f new file mode 100644 index 00000000..02d5bcb7 --- /dev/null +++ b/src/dft_utils_one_e/pot_ao.irp.f @@ -0,0 +1,190 @@ + BEGIN_PROVIDER[double precision, aos_vc_alpha_LDA_w, (n_points_final_grid,ao_num,N_states)] +&BEGIN_PROVIDER[double precision, aos_vc_beta_LDA_w, (n_points_final_grid,ao_num,N_states)] +&BEGIN_PROVIDER[double precision, aos_vx_alpha_LDA_w, (n_points_final_grid,ao_num,N_states)] +&BEGIN_PROVIDER[double precision, aos_vx_beta_LDA_w, (n_points_final_grid,ao_num,N_states)] + implicit none + BEGIN_DOC +! aos_vxc_alpha_LDA_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 + double precision :: r(3) + double precision :: mu,weight + double precision :: e_c,vc_a,vc_b,e_x,vx_a,vx_b + double precision, allocatable :: rhoa(:),rhob(:) + double precision :: mu_local + mu_local = 1.d-9 + allocate(rhoa(N_states), rhob(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_functions_at_final_grid_points(i) + rhoa(istate) = one_body_dm_alpha_at_r(i,istate) + rhob(istate) = one_body_dm_beta_at_r(i,istate) + call ec_LDA_sr(mu_local,rhoa(istate),rhob(istate),e_c,vc_a,vc_b) + call ex_LDA_sr(mu_local,rhoa(istate),rhob(istate),e_x,vx_a,vx_b) + do j =1, ao_num + aos_vc_alpha_LDA_w(i,j,istate) = vc_a * aos_in_r_array(j,i)*weight + aos_vc_beta_LDA_w(i,j,istate) = vc_b * aos_in_r_array(j,i)*weight + aos_vx_alpha_LDA_w(i,j,istate) = vx_a * aos_in_r_array(j,i)*weight + aos_vx_beta_LDA_w(i,j,istate) = vx_b * aos_in_r_array(j,i)*weight + enddo + enddo + enddo + + END_PROVIDER + + + BEGIN_PROVIDER [double precision, potential_x_alpha_ao_LDA,(ao_num,ao_num,N_states)] +&BEGIN_PROVIDER [double precision, potential_x_beta_ao_LDA,(ao_num,ao_num,N_states)] +&BEGIN_PROVIDER [double precision, potential_c_alpha_ao_LDA,(ao_num,ao_num,N_states)] +&BEGIN_PROVIDER [double precision, potential_c_beta_ao_LDA,(ao_num,ao_num,N_states)] + implicit none + BEGIN_DOC +! short range exchange/correlation alpha/beta potentials with LDA functional on the AO basis + END_DOC + integer :: istate + double precision :: wall_1,wall_2 + call wall_time(wall_1) + do istate = 1, N_states + call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0,aos_in_r_array,ao_num,aos_vc_alpha_LDA_w(1,1,istate),n_points_final_grid,0.d0,potential_c_alpha_ao_LDA(1,1,istate),ao_num) + call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0,aos_in_r_array,ao_num,aos_vc_beta_LDA_w(1,1,istate) ,n_points_final_grid,0.d0,potential_c_beta_ao_LDA(1,1,istate),ao_num) + call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0,aos_in_r_array,ao_num,aos_vx_alpha_LDA_w(1,1,istate),n_points_final_grid,0.d0,potential_x_alpha_ao_LDA(1,1,istate),ao_num) + call dgemm('N','N',ao_num,ao_num,n_points_final_grid,1.d0,aos_in_r_array,ao_num,aos_vx_beta_LDA_w(1,1,istate) ,n_points_final_grid,0.d0,potential_x_beta_ao_LDA(1,1,istate),ao_num) + enddo + call wall_time(wall_2) + print*,'time to provide potential_x/c_alpha/beta_ao_LDA = ',wall_2 - wall_1 + + END_PROVIDER + + BEGIN_PROVIDER[double precision, aos_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_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_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_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_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)] + 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) + 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_functions_at_final_grid_points(i) + rho_a(istate) = one_body_dm_alpha_and_grad_at_r(4,i,istate) + rho_b(istate) = one_body_dm_beta_and_grad_at_r(4,i,istate) + grad_rho_a(1:3,istate) = one_body_dm_alpha_and_grad_at_r(1:3,i,istate) + grad_rho_b(1:3,istate) = one_body_dm_beta_and_grad_at_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(j,i,istate) = vc_rho_a(istate) * aos_in_r_array(j,i) + aos_vc_beta_PBE_w (j,i,istate) = vc_rho_b(istate) * aos_in_r_array(j,i) + 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) + do m = 1,3 + 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(j,i,m) + grad_aos_dvc_beta_PBE_w (j,i,m,istate) = contrib_grad_cb(m,istate) * aos_grad_in_r_array(j,i,m) + grad_aos_dvx_alpha_PBE_w (j,i,m,istate) = contrib_grad_xa(m,istate) * aos_grad_in_r_array(j,i,m) + grad_aos_dvx_beta_PBE_w (j,i,m,istate) = contrib_grad_xb(m,istate) * aos_grad_in_r_array(j,i,m) + enddo + enddo + enddo + enddo + + 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 alpha/beta potentials with the short range PBE functional on the AO basis + END_DOC + integer :: istate, m + 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)) + ! 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)) + ! 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)) + ! 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 + ! 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)) + ! 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)) + ! 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)) + ! 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 + enddo + + call wall_time(wall_2) + +END_PROVIDER