2019-02-22 17:59:19 +01:00
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BEGIN_PROVIDER [ character*(64), diag_algorithm ]
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implicit none
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BEGIN_DOC
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! Diagonalization algorithm (Davidson or Lapack)
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END_DOC
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if (N_det > N_det_max_full) then
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diag_algorithm = "Davidson"
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else
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diag_algorithm = "Lapack"
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endif
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if (N_det < N_states) then
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diag_algorithm = "Lapack"
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endif
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END_PROVIDER
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2019-01-25 11:39:31 +01:00
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BEGIN_PROVIDER [ integer, dressed_column_idx, (N_states) ]
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implicit none
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BEGIN_DOC
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! Index of the dressed columns
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END_DOC
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integer :: i
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double precision :: tmp
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integer, external :: idamax
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do i=1,N_states
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dressed_column_idx(i) = idamax(N_det, psi_coef(1,i), 1)
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enddo
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END_PROVIDER
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subroutine davidson_diag_hs2(dets_in,u_in,s2_out,dim_in,energies,sze,N_st,N_st_diag,Nint,dressing_state,converged)
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use bitmasks
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implicit none
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BEGIN_DOC
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! Davidson diagonalization.
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!
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! dets_in : bitmasks corresponding to determinants
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!
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! u_in : guess coefficients on the various states. Overwritten
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! on exit
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!
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! dim_in : leftmost dimension of u_in
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!
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! sze : Number of determinants
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!
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! N_st : Number of eigenstates
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!
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! Initial guess vectors are not necessarily orthonormal
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END_DOC
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integer, intent(in) :: dim_in, sze, N_st, N_st_diag, Nint
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integer(bit_kind), intent(in) :: dets_in(Nint,2,sze)
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double precision, intent(inout) :: u_in(dim_in,N_st_diag)
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double precision, intent(out) :: energies(N_st_diag), s2_out(N_st_diag)
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integer, intent(in) :: dressing_state
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logical, intent(out) :: converged
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double precision, allocatable :: H_jj(:)
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double precision, external :: diag_H_mat_elem, diag_S_mat_elem
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integer :: i,k
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ASSERT (N_st > 0)
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ASSERT (sze > 0)
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ASSERT (Nint > 0)
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ASSERT (Nint == N_int)
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PROVIDE mo_two_e_integrals_in_map
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allocate(H_jj(sze))
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H_jj(1) = diag_h_mat_elem(dets_in(1,1,1),Nint)
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!$OMP PARALLEL DEFAULT(NONE) &
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!$OMP SHARED(sze,H_jj, dets_in,Nint) &
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!$OMP PRIVATE(i)
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!$OMP DO SCHEDULE(static)
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do i=2,sze
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H_jj(i) = diag_H_mat_elem(dets_in(1,1,i),Nint)
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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if (dressing_state > 0) then
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do k=1,N_st
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do i=1,sze
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H_jj(i) += u_in(i,k) * dressing_column_h(i,k)
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enddo
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enddo
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endif
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call davidson_diag_hjj_sjj(dets_in,u_in,H_jj,S2_out,energies,dim_in,sze,N_st,N_st_diag,Nint,dressing_state,converged)
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deallocate (H_jj)
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end
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subroutine davidson_diag_hjj_sjj(dets_in,u_in,H_jj,s2_out,energies,dim_in,sze,N_st,N_st_diag_in,Nint,dressing_state,converged)
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use bitmasks
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use mmap_module
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implicit none
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BEGIN_DOC
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! Davidson diagonalization with specific diagonal elements of the H matrix
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!
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! H_jj : specific diagonal H matrix elements to diagonalize de Davidson
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!
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! S2_out : Output : s^2
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!
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! dets_in : bitmasks corresponding to determinants
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!
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! u_in : guess coefficients on the various states. Overwritten
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! on exit
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!
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! dim_in : leftmost dimension of u_in
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!
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! sze : Number of determinants
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!
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! N_st : Number of eigenstates
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!
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! N_st_diag_in : Number of states in which H is diagonalized. Assumed > sze
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!
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! Initial guess vectors are not necessarily orthonormal
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END_DOC
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integer, intent(in) :: dim_in, sze, N_st, N_st_diag_in, Nint
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integer(bit_kind), intent(in) :: dets_in(Nint,2,sze)
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double precision, intent(in) :: H_jj(sze)
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integer, intent(in) :: dressing_state
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double precision, intent(inout) :: s2_out(N_st_diag_in)
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double precision, intent(inout) :: u_in(dim_in,N_st_diag_in)
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double precision, intent(out) :: energies(N_st_diag_in)
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integer :: iter, N_st_diag
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integer :: i,j,k,l,m
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logical, intent(inout) :: converged
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double precision, external :: u_dot_v, u_dot_u
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integer :: k_pairs, kl
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integer :: iter2, itertot
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2019-02-22 17:59:19 +01:00
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double precision, allocatable :: y(:,:), h(:,:), h_p(:,:), lambda(:), s2(:)
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2019-01-25 11:39:31 +01:00
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real, allocatable :: y_s(:,:)
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double precision, allocatable :: s_(:,:), s_tmp(:,:)
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double precision :: diag_h_mat_elem
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double precision, allocatable :: residual_norm(:)
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character*(16384) :: write_buffer
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double precision :: to_print(3,N_st)
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double precision :: cpu, wall
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integer :: shift, shift2, itermax, istate
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double precision :: r1, r2, alpha
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logical :: state_ok(N_st_diag_in*davidson_sze_max)
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integer :: nproc_target
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integer :: order(N_st_diag_in)
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double precision :: cmax
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double precision, allocatable :: U(:,:), overlap(:,:), S_d(:,:)
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double precision, pointer :: W(:,:)
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real, pointer :: S(:,:)
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logical :: disk_based
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double precision :: energy_shift(N_st_diag_in*davidson_sze_max)
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include 'constants.include.F'
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N_st_diag = N_st_diag_in
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!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: U, W, S, y, y_s, S_d, h, lambda
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if (N_st_diag*3 > sze) then
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print *, 'error in Davidson :'
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print *, 'Increase n_det_max_jacobi to ', N_st_diag*3
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stop -1
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endif
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itermax = max(3,min(davidson_sze_max, sze/N_st_diag))
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itertot = 0
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if (state_following) then
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allocate(overlap(N_st_diag*itermax, N_st_diag*itermax))
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else
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allocate(overlap(1,1)) ! avoid 'if' for deallocate
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endif
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overlap = 0.d0
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PROVIDE nuclear_repulsion expected_s2 psi_bilinear_matrix_order psi_bilinear_matrix_order_reverse
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call write_time(6)
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call wall_time(wall)
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call cpu_time(cpu)
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write(6,'(A)') ''
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write(6,'(A)') 'Davidson Diagonalization'
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write(6,'(A)') '------------------------'
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write(6,'(A)') ''
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! Find max number of cores to fit in memory
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! -----------------------------------------
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nproc_target = nproc
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double precision :: rss
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integer :: maxab
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maxab = max(N_det_alpha_unique, N_det_beta_unique)+1
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m=1
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disk_based = .False.
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call resident_memory(rss)
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do
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r1 = 8.d0 * &! bytes
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( dble(sze)*(N_st_diag*itermax) &! U
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+ 1.5d0*dble(sze*m)*(N_st_diag*itermax) &! W,S
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+ 1.d0*dble(sze)*(N_st_diag) &! S_d
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+ 4.5d0*(N_st_diag*itermax)**2 &! h,y,y_s,s_,s_tmp
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+ 2.d0*(N_st_diag*itermax) &! s2,lambda
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+ 1.d0*(N_st_diag) &! residual_norm
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! In H_S2_u_0_nstates_zmq
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+ 3.d0*(N_st_diag*N_det) &! u_t, v_t, s_t on collector
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+ 3.d0*(N_st_diag*N_det) &! u_t, v_t, s_t on slave
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+ 0.5d0*maxab &! idx0 in H_S2_u_0_nstates_openmp_work_*
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+ nproc_target * &! In OMP section
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( 1.d0*(N_int*maxab) &! buffer
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+ 3.5d0*(maxab) ) &! singles_a, singles_b, doubles, idx
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) / 1024.d0**3
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if (nproc_target == 0) then
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call check_mem(r1,irp_here)
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nproc_target = 1
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exit
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endif
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if (r1+rss < qp_max_mem) then
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exit
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endif
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2019-01-26 19:10:39 +01:00
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if (itermax > 4) then
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2019-01-25 11:39:31 +01:00
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itermax = itermax - 1
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else if (m==1.and.disk_based_davidson) then
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m=0
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disk_based = .True.
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else
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nproc_target = nproc_target - 1
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endif
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enddo
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nthreads_davidson = nproc_target
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TOUCH nthreads_davidson
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call write_int(6,N_st,'Number of states')
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call write_int(6,N_st_diag,'Number of states in diagonalization')
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call write_int(6,sze,'Number of determinants')
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call write_int(6,nproc_target,'Number of threads for diagonalization')
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call write_double(6, r1, 'Memory(Gb)')
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if (disk_based) then
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print *, 'Using swap space to reduce RAM'
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endif
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!---------------
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write(6,'(A)') ''
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write_buffer = '====='
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do i=1,N_st
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write_buffer = trim(write_buffer)//' ================ =========== ==========='
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enddo
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write(6,'(A)') write_buffer(1:6+41*N_st)
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write_buffer = 'Iter'
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do i=1,N_st
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write_buffer = trim(write_buffer)//' Energy S^2 Residual '
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enddo
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write(6,'(A)') write_buffer(1:6+41*N_st)
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write_buffer = '====='
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do i=1,N_st
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write_buffer = trim(write_buffer)//' ================ =========== ==========='
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enddo
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write(6,'(A)') write_buffer(1:6+41*N_st)
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if (disk_based) then
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! Create memory-mapped files for W and S
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type(c_ptr) :: ptr_w, ptr_s
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integer :: fd_s, fd_w
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call mmap(trim(ezfio_work_dir)//'davidson_w', (/int(sze,8),int(N_st_diag*itermax,8)/),&
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8, fd_w, .False., ptr_w)
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call mmap(trim(ezfio_work_dir)//'davidson_s', (/int(sze,8),int(N_st_diag*itermax,8)/),&
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4, fd_s, .False., ptr_s)
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call c_f_pointer(ptr_w, w, (/sze,N_st_diag*itermax/))
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call c_f_pointer(ptr_s, s, (/sze,N_st_diag*itermax/))
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else
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allocate(W(sze,N_st_diag*itermax), S(sze,N_st_diag*itermax))
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endif
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allocate( &
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! Large
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U(sze,N_st_diag*itermax), &
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S_d(sze,N_st_diag), &
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! Small
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h(N_st_diag*itermax,N_st_diag*itermax), &
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2019-02-22 17:59:19 +01:00
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h_p(N_st_diag*itermax,N_st_diag*itermax), &
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2019-01-25 11:39:31 +01:00
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y(N_st_diag*itermax,N_st_diag*itermax), &
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s_(N_st_diag*itermax,N_st_diag*itermax), &
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s_tmp(N_st_diag*itermax,N_st_diag*itermax), &
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residual_norm(N_st_diag), &
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s2(N_st_diag*itermax), &
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y_s(N_st_diag*itermax,N_st_diag*itermax), &
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lambda(N_st_diag*itermax))
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h = 0.d0
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U = 0.d0
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y = 0.d0
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s_ = 0.d0
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s_tmp = 0.d0
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ASSERT (N_st > 0)
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ASSERT (N_st_diag >= N_st)
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ASSERT (sze > 0)
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ASSERT (Nint > 0)
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ASSERT (Nint == N_int)
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! Davidson iterations
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! ===================
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converged = .False.
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do k=N_st+1,N_st_diag
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u_in(k,k) = 10.d0
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do i=1,sze
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call random_number(r1)
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call random_number(r2)
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r1 = dsqrt(-2.d0*dlog(r1))
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r2 = dtwo_pi*r2
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u_in(i,k) = r1*dcos(r2)
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enddo
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enddo
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do k=1,N_st_diag
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call normalize(u_in(1,k),sze)
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enddo
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do while (.not.converged)
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itertot = itertot+1
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if (itertot == 8) then
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exit
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endif
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do k=1,N_st_diag
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do i=1,sze
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U(i,k) = u_in(i,k)
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enddo
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enddo
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do iter=1,itermax-1
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shift = N_st_diag*(iter-1)
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shift2 = N_st_diag*iter
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|
|
|
|
2019-01-27 21:58:36 +01:00
|
|
|
call ortho_qr(U,size(U,1),sze,shift2)
|
2019-01-25 11:39:31 +01:00
|
|
|
call ortho_qr(U,size(U,1),sze,shift2)
|
|
|
|
|
|
|
|
! Compute |W_k> = \sum_i |i><i|H|u_k>
|
|
|
|
! -----------------------------------------
|
|
|
|
|
|
|
|
|
|
|
|
if ((sze > 100000).and.distributed_davidson) then
|
|
|
|
call H_S2_u_0_nstates_zmq (W(1,shift+1),S_d,U(1,shift+1),N_st_diag,sze)
|
|
|
|
else
|
|
|
|
call H_S2_u_0_nstates_openmp(W(1,shift+1),S_d,U(1,shift+1),N_st_diag,sze)
|
|
|
|
endif
|
|
|
|
S(1:sze,shift+1:shift+N_st_diag) = real(S_d(1:sze,1:N_st_diag))
|
|
|
|
|
|
|
|
if (dressing_state > 0) then
|
|
|
|
|
|
|
|
if (N_st == 1) then
|
|
|
|
|
|
|
|
l = dressed_column_idx(1)
|
|
|
|
double precision :: f
|
|
|
|
f = 1.0d0/psi_coef(l,1)
|
|
|
|
do istate=1,N_st_diag
|
|
|
|
do i=1,sze
|
|
|
|
W(i,shift+istate) += dressing_column_h(i,1) *f * U(l,shift+istate)
|
|
|
|
W(l,shift+istate) += dressing_column_h(i,1) *f * U(i,shift+istate)
|
|
|
|
S(i,shift+istate) += real(dressing_column_s(i,1) *f * U(l,shift+istate))
|
|
|
|
S(l,shift+istate) += real(dressing_column_s(i,1) *f * U(i,shift+istate))
|
|
|
|
enddo
|
|
|
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
call dgemm('T','N', N_st, N_st_diag, sze, 1.d0, &
|
|
|
|
psi_coef, size(psi_coef,1), &
|
|
|
|
U(1,shift+1), size(U,1), 0.d0, s_tmp, size(s_tmp,1))
|
|
|
|
|
|
|
|
call dgemm('N','N', sze, N_st_diag, N_st, 1.0d0, &
|
|
|
|
dressing_column_h, size(dressing_column_h,1), s_tmp, size(s_tmp,1), &
|
|
|
|
1.d0, W(1,shift+1), size(W,1))
|
|
|
|
|
|
|
|
call dgemm('N','N', sze, N_st_diag, N_st, 1.0d0, &
|
|
|
|
dressing_column_s, size(dressing_column_s,1), s_tmp, size(s_tmp,1), &
|
|
|
|
1.d0, S_d, size(S_d,1))
|
|
|
|
|
|
|
|
|
|
|
|
call dgemm('T','N', N_st, N_st_diag, sze, 1.d0, &
|
|
|
|
dressing_column_h, size(dressing_column_h,1), &
|
|
|
|
U(1,shift+1), size(U,1), 0.d0, s_tmp, size(s_tmp,1))
|
|
|
|
|
|
|
|
call dgemm('N','N', sze, N_st_diag, N_st, 1.0d0, &
|
|
|
|
psi_coef, size(psi_coef,1), s_tmp, size(s_tmp,1), &
|
|
|
|
1.d0, W(1,shift+1), size(W,1))
|
|
|
|
|
|
|
|
call dgemm('T','N', N_st, N_st_diag, sze, 1.d0, &
|
|
|
|
dressing_column_s, size(dressing_column_s,1), &
|
|
|
|
U(1,shift+1), size(U,1), 0.d0, s_tmp, size(s_tmp,1))
|
|
|
|
|
|
|
|
call dgemm('N','N', sze, N_st_diag, N_st, 1.0d0, &
|
|
|
|
psi_coef, size(psi_coef,1), s_tmp, size(s_tmp,1), &
|
|
|
|
1.d0, S_d, size(S_d,1))
|
|
|
|
|
|
|
|
endif
|
|
|
|
endif
|
|
|
|
|
|
|
|
! Compute s_kl = <u_k | S_l> = <u_k| S2 |u_l>
|
|
|
|
! -------------------------------------------
|
|
|
|
|
|
|
|
! call dgemm('T','N', shift2, shift2, sze, &
|
|
|
|
! 1.d0, U, size(U,1), S, size(S,1), &
|
|
|
|
! 0.d0, s_, size(s_,1))
|
2019-01-26 19:10:39 +01:00
|
|
|
|
|
|
|
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i,j,k)
|
2019-01-25 11:39:31 +01:00
|
|
|
do j=1,shift2
|
|
|
|
do i=1,shift2
|
|
|
|
s_(i,j) = 0.d0
|
|
|
|
do k=1,sze
|
|
|
|
s_(i,j) = s_(i,j) + U(k,i) * dble(S(k,j))
|
|
|
|
enddo
|
|
|
|
enddo
|
|
|
|
enddo
|
2019-01-26 19:10:39 +01:00
|
|
|
!$OMP END PARALLEL DO
|
2019-01-25 11:39:31 +01:00
|
|
|
|
|
|
|
! Compute h_kl = <u_k | W_l> = <u_k| H |u_l>
|
|
|
|
! -------------------------------------------
|
|
|
|
|
2019-02-22 17:59:19 +01:00
|
|
|
call dgemm('T','N', shift2, shift2, sze, &
|
|
|
|
1.d0, U, size(U,1), W, size(W,1), &
|
|
|
|
0.d0, h, size(h_p,1))
|
|
|
|
|
2019-01-25 11:39:31 +01:00
|
|
|
! Penalty method
|
|
|
|
! --------------
|
|
|
|
|
|
|
|
if (s2_eig) then
|
2019-02-22 17:59:19 +01:00
|
|
|
h_p = s_
|
2019-01-25 11:39:31 +01:00
|
|
|
do k=1,shift2
|
2019-02-22 17:59:19 +01:00
|
|
|
h_p(k,k) = h_p(k,k) + S_z2_Sz - expected_s2
|
2019-01-25 11:39:31 +01:00
|
|
|
enddo
|
|
|
|
alpha = 0.1d0
|
2019-02-22 17:59:19 +01:00
|
|
|
h_p = h + alpha*h_p
|
2019-01-25 11:39:31 +01:00
|
|
|
else
|
2019-02-22 17:59:19 +01:00
|
|
|
h_p = h
|
2019-01-25 11:39:31 +01:00
|
|
|
alpha = 0.d0
|
|
|
|
endif
|
|
|
|
|
2019-02-22 17:59:19 +01:00
|
|
|
! Diagonalize h_p
|
|
|
|
! ---------------
|
2019-01-25 11:39:31 +01:00
|
|
|
|
2019-02-22 17:59:19 +01:00
|
|
|
call lapack_diag(lambda,y,h_p,size(h_p,1),shift2)
|
2019-01-25 11:39:31 +01:00
|
|
|
|
2019-02-22 17:59:19 +01:00
|
|
|
! Compute Energy for each eigenvector
|
|
|
|
! -----------------------------------
|
|
|
|
|
|
|
|
call dgemm('N','N',shift2,shift2,shift2, &
|
|
|
|
1.d0, h, size(h,1), y, size(y,1), &
|
|
|
|
0.d0, s_tmp, size(s_tmp,1))
|
|
|
|
|
|
|
|
call dgemm('T','N',shift2,shift2,shift2, &
|
|
|
|
1.d0, y, size(y,1), s_tmp, size(s_tmp,1), &
|
|
|
|
0.d0, h, size(h,1))
|
|
|
|
|
|
|
|
do k=1,shift2
|
|
|
|
lambda(k) = h(k,k)
|
|
|
|
enddo
|
2019-01-25 11:39:31 +01:00
|
|
|
|
|
|
|
! Compute S2 for each eigenvector
|
|
|
|
! -------------------------------
|
|
|
|
|
|
|
|
call dgemm('N','N',shift2,shift2,shift2, &
|
|
|
|
1.d0, s_, size(s_,1), y, size(y,1), &
|
|
|
|
0.d0, s_tmp, size(s_tmp,1))
|
|
|
|
|
|
|
|
call dgemm('T','N',shift2,shift2,shift2, &
|
|
|
|
1.d0, y, size(y,1), s_tmp, size(s_tmp,1), &
|
|
|
|
0.d0, s_, size(s_,1))
|
|
|
|
|
|
|
|
do k=1,shift2
|
|
|
|
s2(k) = s_(k,k) + S_z2_Sz
|
|
|
|
enddo
|
|
|
|
|
|
|
|
if (only_expected_s2) then
|
|
|
|
do k=1,shift2
|
|
|
|
state_ok(k) = (dabs(s2(k)-expected_s2) < 0.6d0)
|
|
|
|
enddo
|
|
|
|
else
|
|
|
|
do k=1,size(state_ok)
|
|
|
|
state_ok(k) = .True.
|
|
|
|
enddo
|
|
|
|
endif
|
|
|
|
|
|
|
|
do k=1,shift2
|
|
|
|
if (.not. state_ok(k)) then
|
|
|
|
do l=k+1,shift2
|
|
|
|
if (state_ok(l)) then
|
|
|
|
call dswap(shift2, y(1,k), 1, y(1,l), 1)
|
|
|
|
call dswap(1, s2(k), 1, s2(l), 1)
|
|
|
|
call dswap(1, lambda(k), 1, lambda(l), 1)
|
|
|
|
state_ok(k) = .True.
|
|
|
|
state_ok(l) = .False.
|
|
|
|
exit
|
|
|
|
endif
|
|
|
|
enddo
|
|
|
|
endif
|
|
|
|
enddo
|
|
|
|
|
|
|
|
if (state_following) then
|
|
|
|
|
|
|
|
overlap = -1.d0
|
|
|
|
do k=1,shift2
|
|
|
|
do i=1,shift2
|
|
|
|
overlap(k,i) = dabs(y(k,i))
|
|
|
|
enddo
|
|
|
|
enddo
|
|
|
|
do k=1,N_st
|
|
|
|
cmax = -1.d0
|
|
|
|
do i=1,N_st
|
|
|
|
if (overlap(i,k) > cmax) then
|
|
|
|
cmax = overlap(i,k)
|
|
|
|
order(k) = i
|
|
|
|
endif
|
|
|
|
enddo
|
|
|
|
do i=1,N_st_diag
|
|
|
|
overlap(order(k),i) = -1.d0
|
|
|
|
enddo
|
|
|
|
enddo
|
|
|
|
overlap = y
|
|
|
|
do k=1,N_st
|
|
|
|
l = order(k)
|
|
|
|
if (k /= l) then
|
|
|
|
y(1:shift2,k) = overlap(1:shift2,l)
|
|
|
|
endif
|
|
|
|
enddo
|
|
|
|
do k=1,N_st
|
|
|
|
overlap(k,1) = lambda(k)
|
|
|
|
overlap(k,2) = s2(k)
|
|
|
|
enddo
|
|
|
|
do k=1,N_st
|
|
|
|
l = order(k)
|
|
|
|
if (k /= l) then
|
|
|
|
lambda(k) = overlap(l,1)
|
|
|
|
s2(k) = overlap(l,2)
|
|
|
|
endif
|
|
|
|
enddo
|
|
|
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
|
|
! Express eigenvectors of h in the determinant basis
|
|
|
|
! --------------------------------------------------
|
|
|
|
|
|
|
|
call dgemm('N','N', sze, N_st_diag, shift2, &
|
|
|
|
1.d0, U, size(U,1), y, size(y,1), 0.d0, U(1,shift2+1), size(U,1))
|
|
|
|
call dgemm('N','N', sze, N_st_diag, shift2, &
|
|
|
|
1.d0, W, size(W,1), y, size(y,1), 0.d0, W(1,shift2+1), size(W,1))
|
|
|
|
|
|
|
|
y_s(:,:) = real(y(:,:))
|
|
|
|
call sgemm('N','N', sze, N_st_diag, shift2, &
|
|
|
|
1., S, size(S,1), y_s, size(y_s,1), 0., S(1,shift2+1), size(S,1))
|
|
|
|
|
|
|
|
! Compute residual vector and davidson step
|
|
|
|
! -----------------------------------------
|
|
|
|
|
|
|
|
do k=1,N_st_diag
|
|
|
|
do i=1,sze
|
|
|
|
U(i,shift2+k) = &
|
|
|
|
(lambda(k) * U(i,shift2+k) - W(i,shift2+k) ) &
|
|
|
|
/max(H_jj(i) - lambda (k),1.d-2)
|
|
|
|
enddo
|
|
|
|
|
|
|
|
if (k <= N_st) then
|
|
|
|
residual_norm(k) = u_dot_u(U(1,shift2+k),sze)
|
|
|
|
to_print(1,k) = lambda(k) + nuclear_repulsion
|
|
|
|
to_print(2,k) = s2(k)
|
|
|
|
to_print(3,k) = residual_norm(k)
|
|
|
|
endif
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
|
|
write(*,'(1X,I3,1X,100(1X,F16.10,1X,F11.6,1X,E11.3))') iter, to_print(1:3,1:N_st)
|
|
|
|
call davidson_converged(lambda,residual_norm,wall,iter,cpu,N_st,converged)
|
|
|
|
do k=1,N_st
|
|
|
|
if (residual_norm(k) > 1.e8) then
|
|
|
|
print *, ''
|
|
|
|
stop 'Davidson failed'
|
|
|
|
endif
|
|
|
|
enddo
|
|
|
|
if (converged) then
|
|
|
|
exit
|
|
|
|
endif
|
|
|
|
|
|
|
|
logical, external :: qp_stop
|
|
|
|
if (qp_stop()) then
|
|
|
|
converged = .True.
|
|
|
|
exit
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
! Re-contract to u_in
|
|
|
|
! -----------
|
|
|
|
|
|
|
|
call dgemm('N','N', sze, N_st_diag, shift2, 1.d0, &
|
|
|
|
U, size(U,1), y, size(y,1), 0.d0, u_in, size(u_in,1))
|
|
|
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
do k=1,N_st_diag
|
|
|
|
energies(k) = lambda(k)
|
|
|
|
s2_out(k) = s2(k)
|
|
|
|
enddo
|
|
|
|
write_buffer = '======'
|
|
|
|
do i=1,N_st
|
|
|
|
write_buffer = trim(write_buffer)//' ================ =========== ==========='
|
|
|
|
enddo
|
|
|
|
write(6,'(A)') trim(write_buffer)
|
|
|
|
write(6,'(A)') ''
|
|
|
|
call write_time(6)
|
|
|
|
|
|
|
|
if (disk_based)then
|
|
|
|
! Remove temp files
|
|
|
|
integer, external :: getUnitAndOpen
|
|
|
|
call munmap( (/int(sze,8),int(N_st_diag*itermax,8)/), 8, fd_w, ptr_w )
|
|
|
|
fd_w = getUnitAndOpen(trim(ezfio_work_dir)//'davidson_w','r')
|
|
|
|
close(fd_w,status='delete')
|
|
|
|
call munmap( (/int(sze,8),int(N_st_diag*itermax,8)/), 8, fd_s, ptr_s )
|
|
|
|
fd_s = getUnitAndOpen(trim(ezfio_work_dir)//'davidson_s','r')
|
|
|
|
close(fd_s,status='delete')
|
|
|
|
else
|
|
|
|
deallocate(W,S)
|
|
|
|
endif
|
|
|
|
|
|
|
|
deallocate ( &
|
|
|
|
residual_norm, &
|
|
|
|
U, overlap, &
|
|
|
|
h, y_s, S_d, &
|
|
|
|
y, s_, s_tmp, &
|
|
|
|
lambda &
|
|
|
|
)
|
|
|
|
FREE nthreads_davidson
|
|
|
|
end
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|