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318 lines
9.0 KiB
Fortran
318 lines
9.0 KiB
Fortran
subroutine Roothaan_Hall_SCF
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BEGIN_DOC
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! Roothaan-Hall algorithm for SCF Hartree-Fock calculation
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END_DOC
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implicit none
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double precision :: energy_SCF,energy_SCF_previous,Delta_energy_SCF
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double precision :: max_error_DIIS,max_error_DIIS_alpha,max_error_DIIS_beta
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double precision, allocatable :: Fock_matrix_DIIS(:,:,:),error_matrix_DIIS(:,:,:)
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integer :: iteration_SCF,dim_DIIS,index_dim_DIIS
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integer :: i,j
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logical, external :: qp_stop
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double precision, allocatable :: mo_coef_save(:,:)
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PROVIDE ao_md5 mo_occ level_shift
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allocate(mo_coef_save(ao_num,mo_num), &
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Fock_matrix_DIIS (ao_num,ao_num,max_dim_DIIS), &
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error_matrix_DIIS(ao_num,ao_num,max_dim_DIIS) &
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)
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Fock_matrix_DIIS = 0.d0
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error_matrix_DIIS = 0.d0
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mo_coef_save = 0.d0
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call write_time(6)
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print*,'Energy of the guess = ',SCF_energy
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write(6,'(A4, 1X, A16, 1X, A16, 1X, A16, 1X, A16)') &
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'====','================','================','================','================'
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write(6,'(A4, 1X, A16, 1X, A16, 1X, A16, 1X, A16)') &
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' N ', 'Energy ', 'Energy diff ', 'DIIS error ', 'Level shift '
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write(6,'(A4, 1X, A16, 1X, A16, 1X, A16, 1X, A16)') &
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'====','================','================','================','================'
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! Initialize energies and density matrices
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energy_SCF_previous = SCF_energy
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Delta_energy_SCF = 1.d0
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iteration_SCF = 0
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dim_DIIS = 0
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max_error_DIIS = 1.d0
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!
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! Start of main SCF loop
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!
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PROVIDE FPS_SPF_matrix_AO Fock_matrix_AO
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do while ( &
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( (max_error_DIIS > threshold_DIIS_nonzero) .or. &
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(dabs(Delta_energy_SCF) > thresh_SCF) &
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) .and. (iteration_SCF < n_it_SCF_max) )
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! Increment cycle number
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iteration_SCF += 1
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if(frozen_orb_scf)then
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call initialize_mo_coef_begin_iteration
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endif
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! Current size of the DIIS space
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dim_DIIS = min(dim_DIIS+1,max_dim_DIIS)
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if ( (scf_algorithm == 'DIIS').and.(dabs(Delta_energy_SCF) > 1.d-6) ) then
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! Store Fock and error matrices at each iteration
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do j=1,ao_num
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do i=1,ao_num
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index_dim_DIIS = mod(dim_DIIS-1,max_dim_DIIS)+1
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Fock_matrix_DIIS (i,j,index_dim_DIIS) = Fock_matrix_AO(i,j)
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error_matrix_DIIS(i,j,index_dim_DIIS) = FPS_SPF_matrix_AO(i,j)
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enddo
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enddo
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! Compute the extrapolated Fock matrix
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call extrapolate_Fock_matrix( &
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error_matrix_DIIS,Fock_matrix_DIIS, &
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Fock_matrix_AO,size(Fock_matrix_AO,1), &
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iteration_SCF,dim_DIIS &
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)
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Fock_matrix_AO_alpha = Fock_matrix_AO*0.5d0
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Fock_matrix_AO_beta = Fock_matrix_AO*0.5d0
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TOUCH Fock_matrix_AO_alpha Fock_matrix_AO_beta
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endif
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MO_coef = eigenvectors_Fock_matrix_MO
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if(frozen_orb_scf)then
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call reorder_core_orb
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call initialize_mo_coef_begin_iteration
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endif
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TOUCH MO_coef
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! Calculate error vectors
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max_error_DIIS = maxval(Abs(FPS_SPF_Matrix_MO))
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! SCF energy
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energy_SCF = SCF_energy
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Delta_Energy_SCF = energy_SCF - energy_SCF_previous
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if ( (SCF_algorithm == 'DIIS').and.(Delta_Energy_SCF > 0.d0) ) then
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Fock_matrix_AO(1:ao_num,1:ao_num) = Fock_matrix_DIIS (1:ao_num,1:ao_num,index_dim_DIIS)
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Fock_matrix_AO_alpha = Fock_matrix_AO*0.5d0
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Fock_matrix_AO_beta = Fock_matrix_AO*0.5d0
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TOUCH Fock_matrix_AO_alpha Fock_matrix_AO_beta
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endif
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double precision :: level_shift_save
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level_shift_save = level_shift
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mo_coef_save(1:ao_num,1:mo_num) = mo_coef(1:ao_num,1:mo_num)
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do while (Delta_energy_SCF > 0.d0)
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mo_coef(1:ao_num,1:mo_num) = mo_coef_save
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if (level_shift <= .1d0) then
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level_shift = 1.d0
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else
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level_shift = level_shift * 3.0d0
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endif
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TOUCH mo_coef level_shift
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mo_coef(1:ao_num,1:mo_num) = eigenvectors_Fock_matrix_MO(1:ao_num,1:mo_num)
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if(frozen_orb_scf)then
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call reorder_core_orb
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call initialize_mo_coef_begin_iteration
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endif
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TOUCH mo_coef
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Delta_Energy_SCF = SCF_energy - energy_SCF_previous
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energy_SCF = SCF_energy
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if (level_shift-level_shift_save > 40.d0) then
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level_shift = level_shift_save * 4.d0
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SOFT_TOUCH level_shift
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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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level_shift = level_shift * 0.5d0
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SOFT_TOUCH level_shift
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energy_SCF_previous = energy_SCF
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! Print results at the end of each iteration
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write(6,'(I4, 1X, F16.10, 1X, F16.10, 1X, F16.10, 1X, F16.10, 1X, I3)') &
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iteration_SCF, energy_SCF, Delta_energy_SCF, max_error_DIIS, level_shift, dim_DIIS
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if (Delta_energy_SCF < 0.d0) then
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call save_mos
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endif
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if (qp_stop()) exit
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enddo
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if (iteration_SCF < n_it_SCF_max) then
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mo_label = 'Canonical'
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endif
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!
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! End of Main SCF loop
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!
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write(6,'(A4, 1X, A16, 1X, A16, 1X, A16, 1X, A16)') &
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'====','================','================','================','================'
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write(6,*)
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if(.not.frozen_orb_scf)then
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call mo_as_eigvectors_of_mo_matrix(Fock_matrix_mo,size(Fock_matrix_mo,1), &
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size(Fock_matrix_mo,2),mo_label,1,.true.)
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call restore_symmetry(ao_num, mo_num, mo_coef, size(mo_coef,1), 1.d-10)
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call orthonormalize_mos
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call save_mos
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endif
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call write_double(6, Energy_SCF, 'SCF energy')
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call write_time(6)
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end
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subroutine extrapolate_Fock_matrix( &
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error_matrix_DIIS,Fock_matrix_DIIS, &
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Fock_matrix_AO_,size_Fock_matrix_AO, &
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iteration_SCF,dim_DIIS &
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)
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BEGIN_DOC
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! Compute the extrapolated Fock matrix using the DIIS procedure
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END_DOC
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implicit none
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integer,intent(inout) :: dim_DIIS
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double precision,intent(in) :: Fock_matrix_DIIS(ao_num,ao_num,dim_DIIS),error_matrix_DIIS(ao_num,ao_num,dim_DIIS)
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integer,intent(in) :: iteration_SCF, size_Fock_matrix_AO
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double precision,intent(inout):: Fock_matrix_AO_(size_Fock_matrix_AO,ao_num)
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double precision,allocatable :: B_matrix_DIIS(:,:),X_vector_DIIS(:)
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double precision,allocatable :: C_vector_DIIS(:)
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double precision,allocatable :: scratch(:,:)
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integer :: i,j,k,l,i_DIIS,j_DIIS
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double precision :: rcond, ferr, berr
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integer, allocatable :: iwork(:)
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integer :: lwork
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if (dim_DIIS < 1) then
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return
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endif
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allocate( &
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B_matrix_DIIS(dim_DIIS+1,dim_DIIS+1), &
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X_vector_DIIS(dim_DIIS+1), &
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C_vector_DIIS(dim_DIIS+1), &
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scratch(ao_num,ao_num) &
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)
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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_SCF-j,max_dim_DIIS)+1)
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do i=1,dim_DIIS
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i_DIIS = min(dim_DIIS,mod(iteration_SCF-i,max_dim_DIIS)+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) + &
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error_matrix_DIIS(k,l,i_DIIS) * error_matrix_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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double precision :: anorm
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integer :: info
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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, &
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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, &
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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
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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), &
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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 DIIS'
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endif
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! Compute extrapolated Fock matrix
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!$OMP PARALLEL DO PRIVATE(i,j,k) DEFAULT(SHARED) if (ao_num > 200)
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do j=1,ao_num
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do i=1,ao_num
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Fock_matrix_AO_(i,j) = 0.d0
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enddo
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do k=1,dim_DIIS
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if (dabs(X_vector_DIIS(k)) < 1.d-10) cycle
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do i=1,ao_num
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! FPE here
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Fock_matrix_AO_(i,j) = Fock_matrix_AO_(i,j) + &
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X_vector_DIIS(k)*Fock_matrix_DIIS(i,j,dim_DIIS-k+1)
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enddo
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enddo
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enddo
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!$OMP END PARALLEL DO
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end
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