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tc_scf v1 of combin
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@ -1,336 +0,0 @@
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! ---
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subroutine rh_tcscf()
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BEGIN_DOC
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!
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! Roothaan-Hall algorithm for TC-SCF calculation
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!
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END_DOC
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implicit none
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integer :: i, j
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integer :: iteration_TCSCF, dim_DIIS, index_dim_DIIS
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double precision :: energy_TCSCF, energy_TCSCF_1e, energy_TCSCF_2e, energy_TCSCF_3e, gradie_TCSCF
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double precision :: energy_TCSCF_previous, delta_energy_TCSCF
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double precision :: gradie_TCSCF_previous, delta_gradie_TCSCF
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double precision :: max_error_DIIS_TCSCF
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double precision :: level_shift_save
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double precision :: delta_energy_tmp, delta_gradie_tmp
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double precision, allocatable :: F_DIIS(:,:,:), e_DIIS(:,:,:)
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double precision, allocatable :: mo_r_coef_save(:,:), mo_l_coef_save(:,:)
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logical, external :: qp_stop
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!PROVIDE ao_md5 mo_occ
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PROVIDE level_shift_TCSCF
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allocate( mo_r_coef_save(ao_num,mo_num), mo_l_coef_save(ao_num,mo_num) &
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, F_DIIS(ao_num,ao_num,max_dim_DIIS_TCSCF), e_DIIS(ao_num,ao_num,max_dim_DIIS_TCSCF) )
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F_DIIS = 0.d0
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e_DIIS = 0.d0
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mo_l_coef_save = 0.d0
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mo_r_coef_save = 0.d0
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call write_time(6)
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! ---
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! Initialize energies and density matrices
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energy_TCSCF_previous = TC_HF_energy
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energy_TCSCF_1e = TC_HF_one_e_energy
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energy_TCSCF_2e = TC_HF_two_e_energy
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energy_TCSCF_3e = 0.d0
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if(three_body_h_tc) then
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energy_TCSCF_3e = diag_three_elem_hf
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endif
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gradie_TCSCF_previous = grad_non_hermit
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delta_energy_TCSCF = 1.d0
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delta_gradie_TCSCF = 1.d0
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iteration_TCSCF = 0
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dim_DIIS = 0
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max_error_DIIS_TCSCF = 1.d0
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! ---
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! Start of main SCF loop
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PROVIDE FQS_SQF_ao Fock_matrix_tc_ao_tot
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do while( (max_error_DIIS_TCSCF > threshold_DIIS_nonzero_TCSCF) .or. &
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!(dabs(delta_energy_TCSCF) > thresh_TCSCF) .or. &
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(dabs(gradie_TCSCF_previous) > dsqrt(thresh_TCSCF)) )
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iteration_TCSCF += 1
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if(iteration_TCSCF > n_it_TCSCF_max) then
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print *, ' max of TCSCF iterations is reached ', n_it_TCSCF_max
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stop
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endif
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dim_DIIS = min(dim_DIIS+1, max_dim_DIIS_TCSCF)
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! ---
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if((tcscf_algorithm == 'DIIS') .and. (dabs(delta_energy_TCSCF) > 1.d-6)) then
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! store Fock and error matrices at each iteration
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index_dim_DIIS = mod(dim_DIIS-1, max_dim_DIIS_TCSCF) + 1
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do j = 1, ao_num
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do i = 1, ao_num
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F_DIIS(i,j,index_dim_DIIS) = Fock_matrix_tc_ao_tot(i,j)
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e_DIIS(i,j,index_dim_DIIS) = FQS_SQF_ao(i,j)
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enddo
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enddo
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call extrapolate_TC_Fock_matrix(e_DIIS, F_DIIS, Fock_matrix_tc_ao_tot, size(Fock_matrix_tc_ao_tot, 1), iteration_TCSCF, dim_DIIS)
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Fock_matrix_tc_ao_alpha = 0.5d0 * Fock_matrix_tc_ao_tot
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Fock_matrix_tc_ao_beta = 0.5d0 * Fock_matrix_tc_ao_tot
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!TOUCH Fock_matrix_tc_ao_alpha Fock_matrix_tc_ao_beta
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call ao_to_mo_bi_ortho( Fock_matrix_tc_ao_alpha, size(Fock_matrix_tc_ao_alpha, 1) &
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, Fock_matrix_tc_mo_alpha, size(Fock_matrix_tc_mo_alpha, 1) )
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call ao_to_mo_bi_ortho( Fock_matrix_tc_ao_beta , size(Fock_matrix_tc_ao_beta , 1) &
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, Fock_matrix_tc_mo_beta , size(Fock_matrix_tc_mo_beta , 1) )
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TOUCH Fock_matrix_tc_mo_alpha Fock_matrix_tc_mo_beta
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endif
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! ---
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mo_l_coef(1:ao_num,1:mo_num) = fock_tc_leigvec_ao(1:ao_num,1:mo_num)
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mo_r_coef(1:ao_num,1:mo_num) = fock_tc_reigvec_ao(1:ao_num,1:mo_num)
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TOUCH mo_l_coef mo_r_coef
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! ---
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! calculate error vectors
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max_error_DIIS_TCSCF = maxval(abs(FQS_SQF_mo))
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! ---
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delta_energy_tmp = TC_HF_energy - energy_TCSCF_previous
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delta_gradie_tmp = grad_non_hermit - gradie_TCSCF_previous
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! ---
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do while((delta_gradie_tmp > 1.d-7) .and. (iteration_TCSCF > 1))
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!do while((dabs(delta_energy_tmp) > 0.5d0) .and. (iteration_TCSCF > 1))
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print *, ' very big or bad step : ', delta_energy_tmp, delta_gradie_tmp
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print *, ' TC level shift = ', level_shift_TCSCF
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mo_l_coef(1:ao_num,1:mo_num) = mo_l_coef_save(1:ao_num,1:mo_num)
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mo_r_coef(1:ao_num,1:mo_num) = mo_r_coef_save(1:ao_num,1:mo_num)
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if(level_shift_TCSCF <= .1d0) then
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level_shift_TCSCF = 1.d0
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else
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level_shift_TCSCF = level_shift_TCSCF * 3.0d0
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endif
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TOUCH mo_l_coef mo_r_coef level_shift_TCSCF
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mo_l_coef(1:ao_num,1:mo_num) = fock_tc_leigvec_ao(1:ao_num,1:mo_num)
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mo_r_coef(1:ao_num,1:mo_num) = fock_tc_reigvec_ao(1:ao_num,1:mo_num)
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TOUCH mo_l_coef mo_r_coef
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delta_energy_tmp = TC_HF_energy - energy_TCSCF_previous
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delta_gradie_tmp = grad_non_hermit - gradie_TCSCF_previous
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if(level_shift_TCSCF - level_shift_save > 40.d0) then
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level_shift_TCSCF = level_shift_save * 4.d0
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SOFT_TOUCH level_shift_TCSCF
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exit
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endif
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dim_DIIS = 0
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enddo
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! print *, ' very big step : ', delta_energy_tmp
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! print *, ' TC level shift = ', level_shift_TCSCF
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! ---
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level_shift_TCSCF = 0.d0
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!level_shift_TCSCF = level_shift_TCSCF * 0.5d0
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SOFT_TOUCH level_shift_TCSCF
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gradie_TCSCF = grad_non_hermit
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energy_TCSCF = TC_HF_energy
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energy_TCSCF_1e = TC_HF_one_e_energy
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energy_TCSCF_2e = TC_HF_two_e_energy
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energy_TCSCF_3e = 0.d0
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if(three_body_h_tc) then
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energy_TCSCF_3e = diag_three_elem_hf
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endif
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delta_energy_TCSCF = energy_TCSCF - energy_TCSCF_previous
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delta_gradie_TCSCF = gradie_TCSCF - gradie_TCSCF_previous
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energy_TCSCF_previous = energy_TCSCF
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gradie_TCSCF_previous = gradie_TCSCF
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level_shift_save = level_shift_TCSCF
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mo_l_coef_save(1:ao_num,1:mo_num) = mo_l_coef(1:ao_num,1:mo_num)
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mo_r_coef_save(1:ao_num,1:mo_num) = mo_r_coef(1:ao_num,1:mo_num)
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print *, ' iteration = ', iteration_TCSCF
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print *, ' total TC energy = ', energy_TCSCF
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print *, ' 1-e TC energy = ', energy_TCSCF_1e
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print *, ' 2-e TC energy = ', energy_TCSCF_2e
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print *, ' 3-e TC energy = ', energy_TCSCF_3e
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print *, ' |delta TC energy| = ', dabs(delta_energy_TCSCF)
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print *, ' TC gradient = ', gradie_TCSCF
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print *, ' delta TC gradient = ', delta_gradie_TCSCF
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print *, ' max TC DIIS error = ', max_error_DIIS_TCSCF
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print *, ' TC DIIS dim = ', dim_DIIS
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print *, ' TC level shift = ', level_shift_TCSCF
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print *, ' '
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call ezfio_set_bi_ortho_mos_mo_l_coef(mo_l_coef)
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call ezfio_set_bi_ortho_mos_mo_r_coef(mo_r_coef)
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if(qp_stop()) exit
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enddo
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! ---
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print *, ' TCSCF DIIS converged !'
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call print_energy_and_mos()
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call write_time(6)
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deallocate(mo_r_coef_save, mo_l_coef_save, F_DIIS, e_DIIS)
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end
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! ---
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subroutine extrapolate_TC_Fock_matrix(e_DIIS, F_DIIS, F_ao, size_F_ao, iteration_TCSCF, dim_DIIS)
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BEGIN_DOC
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!
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! Compute the extrapolated Fock matrix using the DIIS procedure
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!
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! e = \sum_i c_i e_i and \sum_i c_i = 1
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! ==> lagrange multiplier with L = |e|^2 - \lambda (\sum_i c_i = 1)
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!
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END_DOC
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implicit none
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integer, intent(in) :: iteration_TCSCF, size_F_ao
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integer, intent(inout) :: dim_DIIS
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double precision, intent(in) :: F_DIIS(ao_num,ao_num,dim_DIIS)
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double precision, intent(in) :: e_DIIS(ao_num,ao_num,dim_DIIS)
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double precision, intent(inout) :: F_ao(size_F_ao,ao_num)
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double precision, allocatable :: B_matrix_DIIS(:,:), X_vector_DIIS(:), C_vector_DIIS(:)
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integer :: i, j, k, l, i_DIIS, j_DIIS
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integer :: lwork
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double precision :: rcond, ferr, berr
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integer, allocatable :: iwork(:)
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double precision, allocatable :: scratch(:,:)
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if(dim_DIIS < 1) then
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return
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endif
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allocate( B_matrix_DIIS(dim_DIIS+1,dim_DIIS+1), X_vector_DIIS(dim_DIIS+1) &
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, C_vector_DIIS(dim_DIIS+1), scratch(ao_num,ao_num) )
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! Compute the matrices B and X
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B_matrix_DIIS(:,:) = 0.d0
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do j = 1, dim_DIIS
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j_DIIS = min(dim_DIIS, mod(iteration_TCSCF-j, max_dim_DIIS_TCSCF)+1)
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do i = 1, dim_DIIS
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i_DIIS = min(dim_DIIS, mod(iteration_TCSCF-i, max_dim_DIIS_TCSCF)+1)
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! Compute product of two errors vectors
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do l = 1, ao_num
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do k = 1, ao_num
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B_matrix_DIIS(i,j) = B_matrix_DIIS(i,j) + e_DIIS(k,l,i_DIIS) * e_DIIS(k,l,j_DIIS)
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enddo
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enddo
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enddo
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enddo
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! Pad B matrix and build the X matrix
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C_vector_DIIS(:) = 0.d0
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do i = 1, dim_DIIS
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B_matrix_DIIS(i,dim_DIIS+1) = -1.d0
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B_matrix_DIIS(dim_DIIS+1,i) = -1.d0
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enddo
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C_vector_DIIS(dim_DIIS+1) = -1.d0
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deallocate(scratch)
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! Estimate condition number of B
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integer :: info
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double precision :: anorm
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integer, allocatable :: ipiv(:)
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double precision, allocatable :: AF(:,:)
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double precision, external :: dlange
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lwork = max((dim_DIIS+1)**2, (dim_DIIS+1)*5)
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allocate(AF(dim_DIIS+1,dim_DIIS+1))
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allocate(ipiv(2*(dim_DIIS+1)), iwork(2*(dim_DIIS+1)) )
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allocate(scratch(lwork,1))
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scratch(:,1) = 0.d0
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anorm = dlange('1', dim_DIIS+1, dim_DIIS+1, B_matrix_DIIS, size(B_matrix_DIIS, 1), scratch(1,1))
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AF(:,:) = B_matrix_DIIS(:,:)
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call dgetrf(dim_DIIS+1, dim_DIIS+1, AF, size(AF, 1), ipiv, info)
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if(info /= 0) then
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dim_DIIS = 0
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return
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endif
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call dgecon('1', dim_DIIS+1, AF, size(AF, 1), anorm, rcond, scratch, iwork, info)
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if(info /= 0) then
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dim_DIIS = 0
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return
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endif
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if(rcond < 1.d-14) then
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dim_DIIS = 0
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return
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endif
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! solve the linear system C = B x X
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X_vector_DIIS = C_vector_DIIS
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call dgesv(dim_DIIS+1, 1, B_matrix_DIIS, size(B_matrix_DIIS, 1), ipiv , X_vector_DIIS, size(X_vector_DIIS, 1), info)
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deallocate(scratch, AF, iwork)
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if(info < 0) then
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stop ' bug in TC-DIIS'
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endif
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! Compute extrapolated Fock matrix
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!$OMP PARALLEL DO PRIVATE(i,j,k) DEFAULT(SHARED) if (ao_num > 200)
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do j = 1, ao_num
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do i = 1, ao_num
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F_ao(i,j) = 0.d0
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enddo
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do k = 1, dim_DIIS
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if(dabs(X_vector_DIIS(k)) < 1.d-10) cycle
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do i = 1,ao_num
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! FPE here
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F_ao(i,j) = F_ao(i,j) + X_vector_DIIS(k) * F_DIIS(i,j,dim_DIIS-k+1)
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enddo
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enddo
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enddo
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!$OMP END PARALLEL DO
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end
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! ---
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@ -459,3 +459,38 @@ subroutine v2_over_x(v,x,res)
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res = 0.5d0 * (tmp - delta_E)
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end
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subroutine sum_A_At(A, N)
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!BEGIN_DOC
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! useful for symmetrizing a tensor without a temporary tensor
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!END_DOC
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implicit none
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integer, intent(in) :: N
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double precision, intent(inout) :: A(N,N)
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integer :: i, j
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!$OMP PARALLEL &
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!$OMP DEFAULT (NONE) &
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!$OMP PRIVATE (i, j) &
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!$OMP SHARED (A, N)
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!$OMP DO
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do j = 1, N
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do i = j, N
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A(i,j) += A(j,i)
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enddo
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enddo
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!$OMP END DO
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!$OMP DO
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do j = 2, N
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do i = 1, j-1
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A(i,j) = A(j,i)
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enddo
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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end
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