2019-01-25 11:39:31 +01:00
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subroutine dm_dft_alpha_beta_at_r(r,dm_a,dm_b)
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implicit none
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BEGIN_DOC
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! input: r(1) ==> r(1) = x, r(2) = y, r(3) = z
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! output : dm_a = alpha density evaluated at r(3)
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! output : dm_b = beta density evaluated at r(3)
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END_DOC
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double precision, intent(in) :: r(3)
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double precision, intent(out) :: dm_a(N_states),dm_b(N_states)
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integer :: istate
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double precision :: aos_array(ao_num),aos_array_bis(ao_num),u_dot_v
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call give_all_aos_at_r(r,aos_array)
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do istate = 1, N_states
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aos_array_bis = aos_array
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! alpha density
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call dgemv('N',ao_num,ao_num,1.d0,one_e_dm_alpha_ao_for_dft(1,1,istate),ao_num,aos_array,1,0.d0,aos_array_bis,1)
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dm_a(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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! beta density
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aos_array_bis = aos_array
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call dgemv('N',ao_num,ao_num,1.d0,one_e_dm_beta_ao_for_dft(1,1,istate),ao_num,aos_array,1,0.d0,aos_array_bis,1)
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dm_b(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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enddo
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end
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subroutine dm_dft_alpha_beta_and_all_aos_at_r(r,dm_a,dm_b,aos_array)
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BEGIN_DOC
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! input: r(1) ==> r(1) = x, r(2) = y, r(3) = z
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! output : dm_a = alpha density evaluated at r
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! output : dm_b = beta density evaluated at r
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! output : aos_array(i) = ao(i) evaluated at r
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END_DOC
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implicit none
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double precision, intent(in) :: r(3)
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double precision, intent(out) :: dm_a(N_states),dm_b(N_states)
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double precision, intent(out) :: aos_array(ao_num)
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integer :: istate
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double precision :: aos_array_bis(ao_num),u_dot_v
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call give_all_aos_at_r(r,aos_array)
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do istate = 1, N_states
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aos_array_bis = aos_array
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! alpha density
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call dsymv('U',ao_num,1.d0,one_e_dm_alpha_ao_for_dft(1,1,istate),size(one_e_dm_alpha_ao_for_dft,1),aos_array,1,0.d0,aos_array_bis,1)
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dm_a(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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! beta density
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aos_array_bis = aos_array
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call dsymv('U',ao_num,1.d0,one_e_dm_beta_ao_for_dft(1,1,istate),size(one_e_dm_beta_ao_for_dft,1),aos_array,1,0.d0,aos_array_bis,1)
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dm_b(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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enddo
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end
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subroutine density_and_grad_alpha_beta_and_all_aos_and_grad_aos_at_r(r,dm_a,dm_b, grad_dm_a, grad_dm_b, aos_array, grad_aos_array)
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implicit none
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BEGIN_DOC
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2019-01-29 15:40:00 +01:00
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! input:
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!
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! * r(1) ==> r(1) = x, r(2) = y, r(3) = z
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!
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! output:
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!
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! * dm_a = alpha density evaluated at r
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! * dm_b = beta density evaluated at r
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! * aos_array(i) = ao(i) evaluated at r
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! * grad_dm_a(1) = X gradient of the alpha density evaluated in r
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! * grad_dm_a(1) = X gradient of the beta density evaluated in r
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! * grad_aos_array(1) = X gradient of the aos(i) evaluated at r
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!
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2019-01-25 11:39:31 +01:00
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END_DOC
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double precision, intent(in) :: r(3)
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double precision, intent(out) :: dm_a(N_states),dm_b(N_states)
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double precision, intent(out) :: grad_dm_a(3,N_states),grad_dm_b(3,N_states)
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double precision, intent(out) :: grad_aos_array(3,ao_num)
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integer :: i,j,istate
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double precision :: aos_array(ao_num),aos_array_bis(ao_num),u_dot_v
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double precision :: aos_grad_array(ao_num,3), aos_grad_array_bis(ao_num,3)
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call give_all_aos_and_grad_at_r(r,aos_array,grad_aos_array)
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do i = 1, ao_num
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do j = 1, 3
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aos_grad_array(i,j) = grad_aos_array(j,i)
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enddo
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enddo
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do istate = 1, N_states
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! alpha density
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! aos_array_bis = \rho_ao * aos_array
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call dsymv('U',ao_num,1.d0,one_e_dm_alpha_ao_for_dft(1,1,istate),size(one_e_dm_alpha_ao_for_dft,1),aos_array,1,0.d0,aos_array_bis,1)
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dm_a(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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! grad_dm(1) = \sum_i aos_grad_array(i,1) * aos_array_bis(i)
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grad_dm_a(1,istate) = u_dot_v(aos_grad_array(1,1),aos_array_bis,ao_num)
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grad_dm_a(2,istate) = u_dot_v(aos_grad_array(1,2),aos_array_bis,ao_num)
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grad_dm_a(3,istate) = u_dot_v(aos_grad_array(1,3),aos_array_bis,ao_num)
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! aos_grad_array_bis = \rho_ao * aos_grad_array
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! beta density
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call dsymv('U',ao_num,1.d0,one_e_dm_beta_ao_for_dft(1,1,istate),size(one_e_dm_beta_ao_for_dft,1),aos_array,1,0.d0,aos_array_bis,1)
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dm_b(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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! grad_dm(1) = \sum_i aos_grad_array(i,1) * aos_array_bis(i)
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grad_dm_b(1,istate) = u_dot_v(aos_grad_array(1,1),aos_array_bis,ao_num)
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grad_dm_b(2,istate) = u_dot_v(aos_grad_array(1,2),aos_array_bis,ao_num)
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grad_dm_b(3,istate) = u_dot_v(aos_grad_array(1,3),aos_array_bis,ao_num)
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! aos_grad_array_bis = \rho_ao * aos_grad_array
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enddo
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2019-03-12 16:27:48 +01:00
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grad_dm_a *= 2.d0
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grad_dm_b *= 2.d0
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2019-01-25 11:39:31 +01:00
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end
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2019-03-19 17:09:36 +01:00
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subroutine dm_dft_alpha_beta_no_core_at_r(r,dm_a,dm_b)
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implicit none
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BEGIN_DOC
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! input: r(1) ==> r(1) = x, r(2) = y, r(3) = z
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! output : dm_a = alpha density evaluated at r(3) without the core orbitals
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! output : dm_b = beta density evaluated at r(3) without the core orbitals
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END_DOC
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double precision, intent(in) :: r(3)
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double precision, intent(out) :: dm_a(N_states),dm_b(N_states)
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integer :: istate
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double precision :: aos_array(ao_num),aos_array_bis(ao_num),u_dot_v
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call give_all_aos_at_r(r,aos_array)
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do istate = 1, N_states
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aos_array_bis = aos_array
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! alpha density
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call dgemv('N',ao_num,ao_num,1.d0,one_e_dm_alpha_ao_for_dft_no_core(1,1,istate),ao_num,aos_array,1,0.d0,aos_array_bis,1)
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dm_a(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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! beta density
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aos_array_bis = aos_array
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call dgemv('N',ao_num,ao_num,1.d0,one_e_dm_beta_ao_for_dft_no_core(1,1,istate),ao_num,aos_array,1,0.d0,aos_array_bis,1)
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dm_b(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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enddo
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end
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subroutine dens_grad_a_b_no_core_and_aos_grad_aos_at_r(r,dm_a,dm_b, grad_dm_a, grad_dm_b, aos_array, grad_aos_array)
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implicit none
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BEGIN_DOC
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! input:
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!
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! * r(1) ==> r(1) = x, r(2) = y, r(3) = z
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!
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! output:
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!
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! * dm_a = alpha density evaluated at r without the core orbitals
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! * dm_b = beta density evaluated at r without the core orbitals
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! * aos_array(i) = ao(i) evaluated at r without the core orbitals
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! * grad_dm_a(1) = X gradient of the alpha density evaluated in r without the core orbitals
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! * grad_dm_a(1) = X gradient of the beta density evaluated in r without the core orbitals
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! * grad_aos_array(1) = X gradient of the aos(i) evaluated at r
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!
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END_DOC
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double precision, intent(in) :: r(3)
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double precision, intent(out) :: dm_a(N_states),dm_b(N_states)
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double precision, intent(out) :: grad_dm_a(3,N_states),grad_dm_b(3,N_states)
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double precision, intent(out) :: grad_aos_array(3,ao_num)
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integer :: i,j,istate
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double precision :: aos_array(ao_num),aos_array_bis(ao_num),u_dot_v
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double precision :: aos_grad_array(ao_num,3), aos_grad_array_bis(ao_num,3)
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call give_all_aos_and_grad_at_r(r,aos_array,grad_aos_array)
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do i = 1, ao_num
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do j = 1, 3
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aos_grad_array(i,j) = grad_aos_array(j,i)
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enddo
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enddo
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do istate = 1, N_states
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! alpha density
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! aos_array_bis = \rho_ao * aos_array
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call dsymv('U',ao_num,1.d0,one_e_dm_alpha_ao_for_dft_no_core(1,1,istate),size(one_e_dm_alpha_ao_for_dft_no_core,1),aos_array,1,0.d0,aos_array_bis,1)
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dm_a(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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! grad_dm(1) = \sum_i aos_grad_array(i,1) * aos_array_bis(i)
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grad_dm_a(1,istate) = u_dot_v(aos_grad_array(1,1),aos_array_bis,ao_num)
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grad_dm_a(2,istate) = u_dot_v(aos_grad_array(1,2),aos_array_bis,ao_num)
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grad_dm_a(3,istate) = u_dot_v(aos_grad_array(1,3),aos_array_bis,ao_num)
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! aos_grad_array_bis = \rho_ao * aos_grad_array
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! beta density
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call dsymv('U',ao_num,1.d0,one_e_dm_beta_ao_for_dft_no_core(1,1,istate),size(one_e_dm_beta_ao_for_dft_no_core,1),aos_array,1,0.d0,aos_array_bis,1)
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dm_b(istate) = u_dot_v(aos_array,aos_array_bis,ao_num)
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! grad_dm(1) = \sum_i aos_grad_array(i,1) * aos_array_bis(i)
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grad_dm_b(1,istate) = u_dot_v(aos_grad_array(1,1),aos_array_bis,ao_num)
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grad_dm_b(2,istate) = u_dot_v(aos_grad_array(1,2),aos_array_bis,ao_num)
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grad_dm_b(3,istate) = u_dot_v(aos_grad_array(1,3),aos_array_bis,ao_num)
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! aos_grad_array_bis = \rho_ao * aos_grad_array
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enddo
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grad_dm_a *= 2.d0
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grad_dm_b *= 2.d0
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end
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2019-01-25 11:39:31 +01:00
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BEGIN_PROVIDER [double precision, one_e_dm_alpha_in_r, (n_points_integration_angular,n_points_radial_grid,nucl_num,N_states) ]
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&BEGIN_PROVIDER [double precision, one_e_dm_beta_in_r, (n_points_integration_angular,n_points_radial_grid,nucl_num,N_states) ]
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implicit none
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integer :: i,j,k,l,m,istate
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double precision :: contrib
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double precision :: r(3)
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double precision :: aos_array(ao_num),mos_array(mo_num)
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do j = 1, nucl_num
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do k = 1, n_points_radial_grid -1
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do l = 1, n_points_integration_angular
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do istate = 1, N_States
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one_e_dm_alpha_in_r(l,k,j,istate) = 0.d0
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one_e_dm_beta_in_r(l,k,j,istate) = 0.d0
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enddo
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r(1) = grid_points_per_atom(1,l,k,j)
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r(2) = grid_points_per_atom(2,l,k,j)
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r(3) = grid_points_per_atom(3,l,k,j)
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double precision :: dm_a(N_states),dm_b(N_states)
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call dm_dft_alpha_beta_at_r(r,dm_a,dm_b)
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do istate=1,N_states
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one_e_dm_alpha_in_r(l,k,j,istate) = dm_a(istate)
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one_e_dm_beta_in_r(l,k,j,istate) = dm_b(istate)
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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, one_e_dm_alpha_at_r, (n_points_final_grid,N_states) ]
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&BEGIN_PROVIDER [double precision, one_e_dm_beta_at_r, (n_points_final_grid,N_states) ]
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implicit none
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BEGIN_DOC
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! one_e_dm_alpha_at_r(i,istate) = n_alpha(r_i,istate)
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! one_e_dm_beta_at_r(i,istate) = n_beta(r_i,istate)
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! where r_i is the ith point of the grid and istate is the state number
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END_DOC
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integer :: i,istate
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double precision :: r(3)
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double precision, allocatable :: dm_a(:),dm_b(:)
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allocate(dm_a(N_states),dm_b(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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call dm_dft_alpha_beta_at_r(r,dm_a,dm_b)
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one_e_dm_alpha_at_r(i,istate) = dm_a(istate)
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one_e_dm_beta_at_r(i,istate) = dm_b(istate)
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enddo
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [double precision, one_e_dm_and_grad_alpha_in_r, (4,n_points_final_grid,N_states) ]
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&BEGIN_PROVIDER [double precision, one_e_dm_and_grad_beta_in_r, (4,n_points_final_grid,N_states) ]
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&BEGIN_PROVIDER [double precision, one_e_grad_2_dm_alpha_at_r, (n_points_final_grid,N_states) ]
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&BEGIN_PROVIDER [double precision, one_e_grad_2_dm_beta_at_r, (n_points_final_grid,N_states) ]
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BEGIN_DOC
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! one_e_dm_and_grad_alpha_in_r(1,i,i_state) = d\dx n_alpha(r_i,istate)
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! one_e_dm_and_grad_alpha_in_r(2,i,i_state) = d\dy n_alpha(r_i,istate)
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! one_e_dm_and_grad_alpha_in_r(3,i,i_state) = d\dz n_alpha(r_i,istate)
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! one_e_dm_and_grad_alpha_in_r(4,i,i_state) = n_alpha(r_i,istate)
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! one_e_grad_2_dm_alpha_at_r(i,istate) = d\dx n_alpha(r_i,istate)^2 + d\dy n_alpha(r_i,istate)^2 + d\dz n_alpha(r_i,istate)^2
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! where r_i is the ith point of the grid and istate is the state number
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END_DOC
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implicit none
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integer :: i,j,k,l,m,istate
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double precision :: contrib
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double precision :: r(3)
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double precision, allocatable :: aos_array(:),grad_aos_array(:,:)
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double precision, allocatable :: dm_a(:),dm_b(:), dm_a_grad(:,:), dm_b_grad(:,:)
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allocate(dm_a(N_states),dm_b(N_states), dm_a_grad(3,N_states), dm_b_grad(3,N_states))
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allocate(aos_array(ao_num),grad_aos_array(3,ao_num))
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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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!!!! Works also with the ao basis
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call density_and_grad_alpha_beta_and_all_aos_and_grad_aos_at_r(r,dm_a,dm_b, dm_a_grad, dm_b_grad, aos_array, grad_aos_array)
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one_e_dm_and_grad_alpha_in_r(1,i,istate) = dm_a_grad(1,istate)
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one_e_dm_and_grad_alpha_in_r(2,i,istate) = dm_a_grad(2,istate)
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one_e_dm_and_grad_alpha_in_r(3,i,istate) = dm_a_grad(3,istate)
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one_e_dm_and_grad_alpha_in_r(4,i,istate) = dm_a(istate)
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one_e_grad_2_dm_alpha_at_r(i,istate) = dm_a_grad(1,istate) * dm_a_grad(1,istate) + dm_a_grad(2,istate) * dm_a_grad(2,istate) + dm_a_grad(3,istate) * dm_a_grad(3,istate)
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one_e_dm_and_grad_beta_in_r(1,i,istate) = dm_b_grad(1,istate)
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one_e_dm_and_grad_beta_in_r(2,i,istate) = dm_b_grad(2,istate)
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one_e_dm_and_grad_beta_in_r(3,i,istate) = dm_b_grad(3,istate)
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one_e_dm_and_grad_beta_in_r(4,i,istate) = dm_b(istate)
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one_e_grad_2_dm_beta_at_r(i,istate) = dm_b_grad(1,istate) * dm_b_grad(1,istate) + dm_b_grad(2,istate) * dm_b_grad(2,istate) + dm_b_grad(3,istate) * dm_b_grad(3,istate)
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enddo
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enddo
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END_PROVIDER
|
2019-03-19 17:09:36 +01:00
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BEGIN_PROVIDER [double precision, one_e_dm_no_core_and_grad_alpha_in_r, (4,n_points_final_grid,N_states) ]
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&BEGIN_PROVIDER [double precision, one_e_dm_no_core_and_grad_beta_in_r, (4,n_points_final_grid,N_states) ]
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BEGIN_DOC
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! one_e_dm_no_core_and_grad_alpha_in_r(1,i,i_state) = d\dx n_alpha(r_i,istate) without core orbitals
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! one_e_dm_no_core_and_grad_alpha_in_r(2,i,i_state) = d\dy n_alpha(r_i,istate) without core orbitals
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! one_e_dm_no_core_and_grad_alpha_in_r(3,i,i_state) = d\dz n_alpha(r_i,istate) without core orbitals
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|
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|
! one_e_dm_no_core_and_grad_alpha_in_r(4,i,i_state) = n_alpha(r_i,istate) without core orbitals
|
|
|
|
|
! where r_i is the ith point of the grid and istate is the state number
|
|
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|
|
END_DOC
|
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|
|
implicit none
|
|
|
|
|
integer :: i,j,k,l,m,istate
|
|
|
|
|
double precision :: contrib
|
|
|
|
|
double precision :: r(3)
|
|
|
|
|
double precision, allocatable :: aos_array(:),grad_aos_array(:,:)
|
|
|
|
|
double precision, allocatable :: dm_a(:),dm_b(:), dm_a_grad(:,:), dm_b_grad(:,:)
|
|
|
|
|
allocate(dm_a(N_states),dm_b(N_states), dm_a_grad(3,N_states), dm_b_grad(3,N_states))
|
|
|
|
|
allocate(aos_array(ao_num),grad_aos_array(3,ao_num))
|
|
|
|
|
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)
|
|
|
|
|
!!!! Works also with the ao basis
|
|
|
|
|
call dens_grad_a_b_no_core_and_aos_grad_aos_at_r(r,dm_a,dm_b, dm_a_grad, dm_b_grad, aos_array, grad_aos_array)
|
|
|
|
|
one_e_dm_no_core_and_grad_alpha_in_r(1,i,istate) = dm_a_grad(1,istate)
|
|
|
|
|
one_e_dm_no_core_and_grad_alpha_in_r(2,i,istate) = dm_a_grad(2,istate)
|
|
|
|
|
one_e_dm_no_core_and_grad_alpha_in_r(3,i,istate) = dm_a_grad(3,istate)
|
|
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|
|
one_e_dm_no_core_and_grad_alpha_in_r(4,i,istate) = dm_a(istate)
|
|
|
|
|
|
|
|
|
|
one_e_dm_no_core_and_grad_beta_in_r(1,i,istate) = dm_b_grad(1,istate)
|
|
|
|
|
one_e_dm_no_core_and_grad_beta_in_r(2,i,istate) = dm_b_grad(2,istate)
|
|
|
|
|
one_e_dm_no_core_and_grad_beta_in_r(3,i,istate) = dm_b_grad(3,istate)
|
|
|
|
|
one_e_dm_no_core_and_grad_beta_in_r(4,i,istate) = dm_b(istate)
|
|
|
|
|
enddo
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
END_PROVIDER
|
|
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|
