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src/Davidson/diagonalization_hs2.irp.f
Normal file
387
src/Davidson/diagonalization_hs2.irp.f
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subroutine davidson_diag_hs2(dets_in,u_in,dim_in,energies,sze,N_st,N_st_diag,Nint,iunit)
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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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! iunit : Unit number for the I/O
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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, iunit
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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)
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double precision, allocatable :: H_jj(:), S2_jj(:)
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double precision :: diag_h_mat_elem
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integer :: i
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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_bielec_integrals_in_map
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allocate(H_jj(sze), S2_jj(sze))
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!$OMP PARALLEL DEFAULT(NONE) &
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!$OMP SHARED(sze,H_jj,S2_jj, dets_in,Nint) &
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!$OMP PRIVATE(i)
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!$OMP DO SCHEDULE(guided)
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do i=1,sze
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H_jj(i) = diag_h_mat_elem(dets_in(1,1,i),Nint)
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call get_s2(dets_in(1,1,i),dets_in(1,1,i),Nint,S2_jj(i))
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enddo
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!$OMP END DO
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!$OMP END PARALLEL
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call davidson_diag_hjj_sjj(dets_in,u_in,H_jj,S2_jj,energies,dim_in,sze,N_st,N_st_diag,Nint,iunit)
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deallocate (H_jj,S2_jj)
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end
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subroutine davidson_diag_hjj_sjj(dets_in,u_in,H_jj,S2_jj,energies,dim_in,sze,N_st,N_st_diag,Nint,iunit)
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use bitmasks
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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_jj : specific diagonal S^2 matrix elements
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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 : Number of states in which H is diagonalized
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!
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! iunit : Unit for the I/O
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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(in) :: H_jj(sze), S2_jj(sze)
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integer, intent(in) :: iunit
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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)
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integer :: sze_8
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integer :: iter
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integer :: i,j,k,l,m
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logical :: converged
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double precision, allocatable :: overlap(:,:)
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double precision :: u_dot_v, u_dot_u
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integer, allocatable :: kl_pairs(:,:)
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integer :: k_pairs, kl
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integer :: iter2
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double precision, allocatable :: W(:,:,:), U(:,:,:), R(:,:), S(:,:,:)
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double precision, allocatable :: y(:,:,:,:), h(:,:,:,:), lambda(:), s2(:)
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double precision, allocatable :: c(:), H_small(:,:)
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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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include 'constants.include.F'
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!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: U, W, R, S, y, h, lambda
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PROVIDE nuclear_repulsion
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call write_time(iunit)
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call wall_time(wall)
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call cpu_time(cpu)
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write(iunit,'(A)') ''
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write(iunit,'(A)') 'Davidson Diagonalization'
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write(iunit,'(A)') '------------------------'
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write(iunit,'(A)') ''
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call write_int(iunit,N_st,'Number of states')
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call write_int(iunit,N_st_diag,'Number of states in diagonalization')
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call write_int(iunit,sze,'Number of determinants')
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write(iunit,'(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(iunit,'(A)') trim(write_buffer)
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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(iunit,'(A)') trim(write_buffer)
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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(iunit,'(A)') trim(write_buffer)
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integer, external :: align_double
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sze_8 = align_double(sze)
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double precision :: delta
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if (s2_eig) then
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delta = 1.d0
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else
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delta = 0.d0
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endif
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allocate( &
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kl_pairs(2,N_st_diag*(N_st_diag+1)/2), &
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W(sze_8,N_st_diag,davidson_sze_max), &
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U(sze_8,N_st_diag,davidson_sze_max), &
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R(sze_8,N_st_diag), &
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S(sze_8,N_st_diag,davidson_sze_max), &
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h(N_st_diag,davidson_sze_max,N_st_diag,davidson_sze_max), &
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y(N_st_diag,davidson_sze_max,N_st_diag,davidson_sze_max), &
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residual_norm(N_st_diag), &
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overlap(N_st_diag,N_st_diag), &
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c(N_st_diag*davidson_sze_max), &
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H_small(N_st_diag,N_st_diag), &
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s2(N_st_diag), &
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lambda(N_st_diag*davidson_sze_max))
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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=1,N_st_diag
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if (k > N_st) then
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do i=1,sze
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double precision :: r1, r2
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call random_number(r1)
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call random_number(r2)
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u_in(i,k) = dsqrt(-2.d0*dlog(r1))*dcos(dtwo_pi*r2)
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enddo
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endif
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! Gram-Schmidt
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! ------------
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call dgemv('T',sze,k-1,1.d0,u_in,size(u_in,1), &
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u_in(1,k),1,0.d0,c,1)
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call dgemv('N',sze,k-1,-1.d0,u_in,size(u_in,1), &
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c,1,1.d0,u_in(1,k),1)
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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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do k=1,N_st_diag
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do i=1,sze
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U(i,k,1) = u_in(i,k)
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enddo
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enddo
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do iter=1,davidson_sze_max-1
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! Compute |W_k> = \sum_i |i><i|H|u_k>
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! -----------------------------------------
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call H_S2_u_0_nstates(W(1,1,iter),S(1,1,iter),U(1,1,iter),H_jj,S2_jj,sze,dets_in,Nint,N_st_diag,sze_8)
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! Compute h_kl = <u_k | W_l> = <u_k| H |u_l>
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! -------------------------------------------
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! do l=1,N_st_diag
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! do k=1,N_st_diag
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! do iter2=1,iter-1
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! h(k,iter2,l,iter) = u_dot_v(U(1,k,iter2),W(1,l,iter),sze)
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! h(k,iter,l,iter2) = h(k,iter2,l,iter)
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! enddo
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! enddo
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! do k=1,l
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! h(k,iter,l,iter) = u_dot_v(U(1,k,iter),W(1,l,iter),sze)
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! h(l,iter,k,iter) = h(k,iter,l,iter)
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! enddo
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! enddo
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call dgemm('T','N', N_st_diag*iter, N_st_diag, sze, &
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1.d0, U, size(U,1), W(1,1,iter), size(W,1), &
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0.d0, h(1,1,1,iter), size(h,1)*size(h,2))
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! Diagonalize h
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! -------------
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call lapack_diag(lambda,y,h,N_st_diag*davidson_sze_max,N_st_diag*iter)
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! Express eigenvectors of h in the determinant basis
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! --------------------------------------------------
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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,iter+1) = 0.d0
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W(i,k,iter+1) = 0.d0
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S(i,k,iter+1) = 0.d0
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enddo
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enddo
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! do k=1,N_st_diag
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! do iter2=1,iter
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! do l=1,N_st_diag
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! do i=1,sze
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! U(i,k,iter+1) = U(i,k,iter+1) + U(i,l,iter2)*y(l,iter2,k,1)
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! W(i,k,iter+1) = W(i,k,iter+1) + W(i,l,iter2)*y(l,iter2,k,1)
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! enddo
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! enddo
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! enddo
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! enddo
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!
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!
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call dgemm('N','N', sze, N_st_diag, N_st_diag*iter, &
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1.d0, U, size(U,1), y, size(y,1)*size(y,2), 0.d0, U(1,1,iter+1), size(U,1))
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call dgemm('N','N',sze,N_st_diag,N_st_diag*iter, &
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1.d0, W, size(W,1), y, size(y,1)*size(y,2), 0.d0, W(1,1,iter+1), size(W,1))
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call dgemm('N','N',sze,N_st_diag,1, &
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1.d0, S, size(S,1), y, size(y,1)*size(y,2), 0.d0, S(1,1,iter+1), size(S,1))
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! Compute residual vector
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! -----------------------
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do k=1,N_st_diag
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s2(k) = u_dot_v(U(1,k,iter+1), S(1,k,iter+1), sze)
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enddo
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do k=1,N_st_diag
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do i=1,sze
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R(i,k) = (lambda(k) * U(i,k,iter+1) - W(i,k,iter+1) ) &
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* (1.d0 + s2(k) * U(i,k,iter+1) - S(i,k,iter+1) )
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enddo
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if (k <= N_st) then
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residual_norm(k) = u_dot_u(R(1,k),sze)
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to_print(1,k) = lambda(k) + nuclear_repulsion
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to_print(2,k) = s2(k)
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to_print(3,k) = residual_norm(k)
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endif
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enddo
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write(iunit,'(X,I3,X,100(X,F16.10,X,F11.6,X,E11.3))') iter, to_print(:,1:N_st)
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call davidson_converged(lambda,residual_norm,wall,iter,cpu,N_st,converged)
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if (converged) then
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exit
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endif
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! Davidson step
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! -------------
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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,iter+1) = - R(i,k)/max(H_jj(i) - lambda(k),1.d-2)
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enddo
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enddo
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! Gram-Schmidt
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! ------------
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do k=1,N_st_diag
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! do iter2=1,iter
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! do l=1,N_st_diag
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! c(1) = u_dot_v(U(1,k,iter+1),U(1,l,iter2),sze)
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! do i=1,sze
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! U(i,k,iter+1) = U(i,k,iter+1) - c(1) * U(i,l,iter2)
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! enddo
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! enddo
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! enddo
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!
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call dgemv('T',sze,N_st_diag*iter,1.d0,U,size(U,1), &
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U(1,k,iter+1),1,0.d0,c,1)
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call dgemv('N',sze,N_st_diag*iter,-1.d0,U,size(U,1), &
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c,1,1.d0,U(1,k,iter+1),1)
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!
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! do l=1,k-1
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! c(1) = u_dot_v(U(1,k,iter+1),U(1,l,iter+1),sze)
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! do i=1,sze
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! U(i,k,iter+1) = U(i,k,iter+1) - c(1) * U(i,l,iter+1)
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! enddo
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! enddo
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!
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call dgemv('T',sze,k-1,1.d0,U(1,1,iter+1),size(U,1), &
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U(1,k,iter+1),1,0.d0,c,1)
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call dgemv('N',sze,k-1,-1.d0,U(1,1,iter+1),size(U,1), &
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c,1,1.d0,U(1,k,iter+1),1)
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call normalize( U(1,k,iter+1), sze )
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enddo
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|
enddo
|
||||||
|
|
||||||
|
if (.not.converged) then
|
||||||
|
iter = davidson_sze_max-1
|
||||||
|
endif
|
||||||
|
|
||||||
|
! Re-contract to u_in
|
||||||
|
! -----------
|
||||||
|
|
||||||
|
do k=1,N_st_diag
|
||||||
|
energies(k) = lambda(k)
|
||||||
|
do i=1,sze
|
||||||
|
u_in(i,k) = 0.d0
|
||||||
|
enddo
|
||||||
|
enddo
|
||||||
|
! do k=1,N_st_diag
|
||||||
|
! do i=1,sze
|
||||||
|
! do iter2=1,iter
|
||||||
|
! do l=1,N_st_diag
|
||||||
|
! u_in(i,k) += U(i,l,iter2)*y(l,iter2,k,1)
|
||||||
|
! enddo
|
||||||
|
! enddo
|
||||||
|
! enddo
|
||||||
|
! enddo
|
||||||
|
|
||||||
|
call dgemm('N','N', sze, N_st_diag, N_st_diag*iter, 1.d0, &
|
||||||
|
U, size(U,1), y, N_st_diag*davidson_sze_max, &
|
||||||
|
0.d0, u_in, size(u_in,1))
|
||||||
|
|
||||||
|
enddo
|
||||||
|
|
||||||
|
write_buffer = '===== '
|
||||||
|
do i=1,N_st
|
||||||
|
write_buffer = trim(write_buffer)//' ================ =========== ==========='
|
||||||
|
enddo
|
||||||
|
write(iunit,'(A)') trim(write_buffer)
|
||||||
|
write(iunit,'(A)') ''
|
||||||
|
call write_time(iunit)
|
||||||
|
|
||||||
|
deallocate ( &
|
||||||
|
kl_pairs, &
|
||||||
|
W, residual_norm, &
|
||||||
|
U, overlap, &
|
||||||
|
R, c, &
|
||||||
|
h, &
|
||||||
|
y, &
|
||||||
|
lambda &
|
||||||
|
)
|
||||||
|
end
|
||||||
|
|
||||||
Loading…
Reference in New Issue
Block a user