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Now ApqIJcontainer seems to be set up.
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@ -1,623 +0,0 @@
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use bitmasks
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subroutine configuration_of_det(d,o,Nint)
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use bitmasks
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implicit none
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BEGIN_DOC
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! Transforms a determinant to a configuration
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!
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! occ(:,1) : Single occupations
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!
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! occ(:,2) : Double occupations
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!
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END_DOC
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integer ,intent(in) :: Nint
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integer(bit_kind),intent(in) :: d(Nint,2)
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integer(bit_kind),intent(out) :: o(Nint,2)
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integer :: k
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do k=1,Nint
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o(k,1) = ieor(d(k,1),d(k,2))
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o(k,2) = iand(d(k,1),d(k,2))
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enddo
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end
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subroutine configuration_to_dets_size(o,sze,n_alpha,Nint)
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use bitmasks
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implicit none
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BEGIN_DOC
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! Number of possible determinants for a given configuration
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END_DOC
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integer ,intent(in) :: Nint, n_alpha
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integer(bit_kind),intent(in) :: o(Nint,2)
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integer, intent(out) :: sze
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integer :: amax,bmax,k
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double precision, external :: binom_func
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bmax = 0
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amax = n_alpha
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do k=1,Nint
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bmax += popcnt( o(k,1) )
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amax -= popcnt( o(k,2) )
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enddo
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if (binom_int(bmax, amax) > huge(1)) then
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print *, bmax, amax
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print *, irp_here, ': Too many determinants to generate'
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stop 1
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endif
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sze = int(binom_int(bmax, amax),4)
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end
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subroutine configuration_to_dets(o,d,sze,n_alpha,Nint)
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use bitmasks
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implicit none
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BEGIN_DOC
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! Generate all possible determinants for a given configuration
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!
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! Input :
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! o : configuration : (doubly occupied, singly occupied)
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! sze : Number of produced determinants, computed by `configuration_to_dets_size`
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! n_alpha : Number of $\alpha$ electrons
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! Nint : N_int
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!
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! Output:
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! d : determinants
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!
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END_DOC
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integer ,intent(in) :: Nint
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integer ,intent(in) :: n_alpha ! Number of alpha electrons
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integer ,intent(inout) :: sze ! Dimension of the output dets
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integer(bit_kind),intent(in) :: o(Nint,2) ! Configurations
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integer(bit_kind),intent(out) :: d(Nint,2,sze) ! Output determinants
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integer :: i, k, n, ispin, ispin2
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! Extract list of singly occupied MOs as (int,pos) pairs
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! ------------------------------------------------------
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integer :: iint(2*n_alpha), ipos(2*n_alpha)
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integer(bit_kind) :: v, t, tt, diff, v_prev
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integer :: n_alpha_in_single
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n=0
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n_alpha_in_single = n_alpha
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do i=1,Nint
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v = o(i,1)
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do while(v /= 0_bit_kind)
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n = n+1
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iint(n) = i
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ipos(n) = trailz(v)
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v = iand(v,v-1)
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enddo
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n_alpha_in_single = n_alpha_in_single - popcnt( o(i,2) )
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enddo
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v = shiftl(1,n_alpha_in_single) - 1
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! Initialize first determinant
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d(:,1,1) = o(:,2)
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d(:,2,1) = o(:,2)
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do k=1,n_alpha_in_single
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d(iint(k),1,1) = ibset( d(iint(k),1,1), ipos(k) )
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enddo
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do k=n_alpha_in_single+1,n
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d(iint(k),2,1) = ibset( d(iint(k),2,1), ipos(k) )
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enddo
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sze = int(binom_int(n,n_alpha_in_single),4)
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if ( (shiftl(n_alpha_in_single,1) == n).and.n>0 ) then
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! Time reversal symmetry
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d(:,1,2) = d(:,2,1)
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d(:,2,2) = d(:,1,1)
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do i=3,sze,2
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! Generate next permutation with Anderson's algorithm
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v_prev = v
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t = ior(v,v-1)
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tt = t+1
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v = ior(tt, shiftr( and(not(t),tt) - 1, trailz(v)+1) )
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! Find what has changed between v_prev and v
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diff = ieor(v,v_prev)
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! Initialize with previous determinant
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d(:,1,i) = d(:,1,i-2)
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d(:,2,i) = d(:,2,i-2)
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! Swap bits only where they have changed from v_prev to v
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do while (diff /= 0_bit_kind)
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k = trailz(diff)+1
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if (btest(v,k-1)) then
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d(iint(k),1,i) = ibset( d(iint(k),1,i), ipos(k) )
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d(iint(k),2,i) = ibclr( d(iint(k),2,i), ipos(k) )
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else
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d(iint(k),1,i) = ibclr( d(iint(k),1,i), ipos(k) )
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d(iint(k),2,i) = ibset( d(iint(k),2,i), ipos(k) )
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endif
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diff = iand(diff,diff-1_bit_kind)
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enddo
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! Time reversal symmetry
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d(:,1,i+1) = d(:,2,i)
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d(:,2,i+1) = d(:,1,i)
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enddo
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else
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do i=2,sze
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! Generate next permutation with Anderson's algorithm
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v_prev = v
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t = ior(v,v-1)
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tt = t+1
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v = ior(tt, shiftr( and(not(t),tt) - 1, trailz(v)+1) )
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! Find what has changed between v_prev and v
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diff = ieor(v,v_prev)
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! Initialize with previous determinant
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d(:,1,i) = d(:,1,i-1)
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d(:,2,i) = d(:,2,i-1)
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! Swap bits only where they have changed from v_prev to v
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do while (diff /= 0_bit_kind)
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k = trailz(diff)+1
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if (btest(v,k-1)) then
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d(iint(k),1,i) = ibset( d(iint(k),1,i), ipos(k) )
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d(iint(k),2,i) = ibclr( d(iint(k),2,i), ipos(k) )
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else
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d(iint(k),1,i) = ibclr( d(iint(k),1,i), ipos(k) )
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d(iint(k),2,i) = ibset( d(iint(k),2,i), ipos(k) )
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endif
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diff = iand(diff,diff-1_bit_kind)
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enddo
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enddo
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endif
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end
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BEGIN_PROVIDER [ integer(bit_kind), psi_configuration, (N_int,2,psi_det_size) ]
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&BEGIN_PROVIDER [ integer, N_configuration ]
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implicit none
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BEGIN_DOC
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! Array of the configurations present in the wave function.
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!
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! psi_configuration(:,1,j) = j-th configuration of the wave function : represents all the single occupations
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!
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! psi_configuration(:,2,j) = j-th configuration of the wave function : represents all the double occupations
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!
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! The occ patterns are sorted by :c:func:`configuration_search_key`
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END_DOC
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integer :: i,j,k
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! create
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do i = 1, N_det
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do k = 1, N_int
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psi_configuration(k,1,i) = ieor(psi_det(k,1,i),psi_det(k,2,i))
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psi_configuration(k,2,i) = iand(psi_det(k,1,i),psi_det(k,2,i))
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enddo
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enddo
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! Sort
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integer, allocatable :: iorder(:)
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integer*8, allocatable :: bit_tmp(:)
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integer*8, external :: configuration_search_key
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integer(bit_kind), allocatable :: tmp_array(:,:,:)
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logical,allocatable :: duplicate(:)
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logical :: dup
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allocate ( iorder(N_det), duplicate(N_det), bit_tmp(N_det), tmp_array(N_int,2,N_det) )
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do i=1,N_det
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iorder(i) = i
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bit_tmp(i) = configuration_search_key(psi_configuration(1,1,i),N_int)
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enddo
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call i8sort(bit_tmp,iorder,N_det)
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!$OMP PARALLEL DEFAULT(shared) PRIVATE(i,j,k,dup)
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!$OMP DO
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do i=1,N_det
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do k=1,N_int
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tmp_array(k,1,i) = psi_configuration(k,1,iorder(i))
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tmp_array(k,2,i) = psi_configuration(k,2,iorder(i))
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enddo
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duplicate(i) = .False.
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enddo
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!$OMP END DO
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! Find duplicates
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!$OMP DO
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do i=1,N_det-1
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if (duplicate(i)) then
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cycle
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endif
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j = i+1
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do while (bit_tmp(j)==bit_tmp(i))
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if (duplicate(j)) then
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j+=1
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if (j>N_det) then
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exit
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endif
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cycle
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endif
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dup = .True.
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do k=1,N_int
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dup = dup .and. (tmp_array(k,1,i) == tmp_array(k,1,j)) &
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.and. (tmp_array(k,2,i) == tmp_array(k,2,j))
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enddo
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if (dup) then
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duplicate(j) = .True.
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endif
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j = j+1
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if (j>N_det) then
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exit
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endif
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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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! Copy filtered result
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N_configuration=0
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do i=1,N_det
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if (duplicate(i)) then
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cycle
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endif
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N_configuration += 1
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do k=1,N_int
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psi_configuration(k,1,N_configuration) = tmp_array(k,1,i)
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psi_configuration(k,2,N_configuration) = tmp_array(k,2,i)
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enddo
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enddo
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!- Check
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! print *, 'Checking for duplicates in configuration'
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! do i=1,N_configuration
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! do j=i+1,N_configuration
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! duplicate(1) = .True.
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! do k=1,N_int
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! if (psi_configuration(k,1,i) /= psi_configuration(k,1,j)) then
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! duplicate(1) = .False.
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! exit
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! endif
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! if (psi_configuration(k,2,i) /= psi_configuration(k,2,j)) then
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! duplicate(1) = .False.
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! exit
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! endif
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! enddo
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! if (duplicate(1)) then
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! call debug_det(psi_configuration(1,1,i),N_int)
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! call debug_det(psi_configuration(1,1,j),N_int)
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! stop 'DUPLICATE'
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! endif
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! enddo
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! enddo
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! print *, 'No duplicates'
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!-
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deallocate(iorder,duplicate,bit_tmp,tmp_array)
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END_PROVIDER
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BEGIN_PROVIDER [ integer, cfg_seniority_index, (0:elec_num) ]
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implicit none
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BEGIN_DOC
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! Returns the index in psi_configuration of the first cfg with
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! the requested seniority
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END_DOC
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integer :: i, k, s, sold
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cfg_seniority_index(:) = -1
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sold = -1
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do i=1,N_configuration
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s = 0
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do k=1,N_int
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if (psi_configuration(k,1,i) == 0_bit_kind) cycle
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s = s + popcnt(psi_configuration(k,1,i))
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enddo
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if (s /= sold) then
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sold = s
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cfg_seniority_index(s) = i
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endif
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enddo
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END_PROVIDER
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BEGIN_PROVIDER [ integer, det_to_configuration, (N_det) ]
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implicit none
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BEGIN_DOC
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! Returns the index of the configuration for each determinant
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END_DOC
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integer :: i,j,k,r,l
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integer*8 :: key, key2
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integer(bit_kind) :: occ(N_int,2)
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logical :: found
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integer*8, allocatable :: bit_tmp(:)
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integer*8, external :: configuration_search_key
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allocate(bit_tmp(0:N_configuration))
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bit_tmp(0) = 0
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do i=1,N_configuration
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bit_tmp(i) = configuration_search_key(psi_configuration(1,1,i),N_int)
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enddo
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!$OMP PARALLEL DO DEFAULT(SHARED) &
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!$OMP PRIVATE(i,k,j,r,l,key,found,occ)
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do i=1,N_det
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do k = 1, N_int
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occ(k,1) = ieor(psi_det(k,1,i),psi_det(k,2,i))
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occ(k,2) = iand(psi_det(k,1,i),psi_det(k,2,i))
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enddo
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key = configuration_search_key(occ,N_int)
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! Binary search
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l = 0
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r = N_configuration+1
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j = shiftr(r-l,1)
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do while (j>=1)
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j = j+l
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if (bit_tmp(j) == key) then
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do while (bit_tmp(j) == bit_tmp(j-1))
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j = j-1
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enddo
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do while (bit_tmp(j) == key)
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found = .True.
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do k=1,N_int
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found = found .and. (psi_configuration(k,1,j) == occ(k,1)) &
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|
||||||
.and. (psi_configuration(k,2,j) == occ(k,2))
|
|
||||||
enddo
|
|
||||||
if (found) then
|
|
||||||
det_to_configuration(i) = j
|
|
||||||
exit
|
|
||||||
endif
|
|
||||||
j = j+1
|
|
||||||
enddo
|
|
||||||
if (found) exit
|
|
||||||
else if (bit_tmp(j) > key) then
|
|
||||||
r = j
|
|
||||||
else
|
|
||||||
l = j
|
|
||||||
endif
|
|
||||||
j = shiftr(r-l,1)
|
|
||||||
enddo
|
|
||||||
|
|
||||||
enddo
|
|
||||||
!$OMP END PARALLEL DO
|
|
||||||
deallocate(bit_tmp)
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ double precision, psi_configuration_Hii, (N_configuration) ]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! $\langle I|H|I \rangle$ where $|I\rangle$ is a configuration.
|
|
||||||
! This is the minimum $H_{ii}$, where the $|i\rangle$ are the
|
|
||||||
! determinants of $|I\rangle$.
|
|
||||||
END_DOC
|
|
||||||
integer :: j, i
|
|
||||||
|
|
||||||
psi_configuration_Hii(:) = huge(1.d0)
|
|
||||||
do i=1,N_det
|
|
||||||
j = det_to_configuration(i)
|
|
||||||
psi_configuration_Hii(j) = min(psi_configuration_Hii(j), psi_det_Hii(i))
|
|
||||||
enddo
|
|
||||||
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ double precision, weight_configuration, (N_configuration,N_states) ]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Weight of the configurations in the wave function
|
|
||||||
END_DOC
|
|
||||||
integer :: i,j,k
|
|
||||||
weight_configuration = 0.d0
|
|
||||||
do i=1,N_det
|
|
||||||
j = det_to_configuration(i)
|
|
||||||
do k=1,N_states
|
|
||||||
weight_configuration(j,k) += psi_coef(i,k) * psi_coef(i,k)
|
|
||||||
enddo
|
|
||||||
enddo
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ double precision, weight_configuration_average, (N_configuration) ]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! State-average weight of the configurations in the wave function
|
|
||||||
END_DOC
|
|
||||||
integer :: i,j,k
|
|
||||||
weight_configuration_average(:) = 0.d0
|
|
||||||
do i=1,N_det
|
|
||||||
j = det_to_configuration(i)
|
|
||||||
do k=1,N_states
|
|
||||||
weight_configuration_average(j) += psi_coef(i,k) * psi_coef(i,k) * state_average_weight(k)
|
|
||||||
enddo
|
|
||||||
enddo
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ integer(bit_kind), psi_configuration_sorted, (N_int,2,N_configuration) ]
|
|
||||||
&BEGIN_PROVIDER [ double precision, weight_configuration_average_sorted, (N_configuration) ]
|
|
||||||
&BEGIN_PROVIDER [ integer, psi_configuration_sorted_order, (N_configuration) ]
|
|
||||||
&BEGIN_PROVIDER [ integer, psi_configuration_sorted_order_reverse, (N_configuration) ]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Configurations sorted by weight
|
|
||||||
END_DOC
|
|
||||||
integer :: i,j,k
|
|
||||||
integer, allocatable :: iorder(:)
|
|
||||||
allocate ( iorder(N_configuration) )
|
|
||||||
do i=1,N_configuration
|
|
||||||
weight_configuration_average_sorted(i) = -weight_configuration_average(i)
|
|
||||||
iorder(i) = i
|
|
||||||
enddo
|
|
||||||
call dsort(weight_configuration_average_sorted,iorder,N_configuration)
|
|
||||||
do i=1,N_configuration
|
|
||||||
do j=1,N_int
|
|
||||||
psi_configuration_sorted(j,1,i) = psi_configuration(j,1,iorder(i))
|
|
||||||
psi_configuration_sorted(j,2,i) = psi_configuration(j,2,iorder(i))
|
|
||||||
enddo
|
|
||||||
psi_configuration_sorted_order(iorder(i)) = i
|
|
||||||
psi_configuration_sorted_order_reverse(i) = iorder(i)
|
|
||||||
weight_configuration_average_sorted(i) = -weight_configuration_average_sorted(i)
|
|
||||||
enddo
|
|
||||||
|
|
||||||
deallocate(iorder)
|
|
||||||
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
|
|
||||||
subroutine make_s2_eigenfunction
|
|
||||||
implicit none
|
|
||||||
integer :: i,j,k
|
|
||||||
integer :: smax, s
|
|
||||||
integer(bit_kind), allocatable :: d(:,:,:), det_buffer(:,:,:)
|
|
||||||
integer :: N_det_new, ithread, omp_get_thread_num
|
|
||||||
integer, parameter :: bufsze = 1000
|
|
||||||
logical, external :: is_in_wavefunction
|
|
||||||
logical :: update
|
|
||||||
|
|
||||||
update=.False.
|
|
||||||
call write_int(6,N_configuration,'Number of configurations')
|
|
||||||
|
|
||||||
!$OMP PARALLEL DEFAULT(NONE) &
|
|
||||||
!$OMP SHARED(N_configuration, psi_configuration, elec_alpha_num,N_int,update) &
|
|
||||||
!$OMP PRIVATE(s,ithread, d, det_buffer, smax, N_det_new,i,j,k)
|
|
||||||
N_det_new = 0
|
|
||||||
call configuration_to_dets_size(psi_configuration(1,1,1),s,elec_alpha_num,N_int)
|
|
||||||
allocate (d(N_int,2,s+64), det_buffer(N_int,2,bufsze) )
|
|
||||||
smax = s
|
|
||||||
ithread=0
|
|
||||||
!$ ithread = omp_get_thread_num()
|
|
||||||
!$OMP DO SCHEDULE (dynamic,1000)
|
|
||||||
do i=1,N_configuration
|
|
||||||
call configuration_to_dets_size(psi_configuration(1,1,i),s,elec_alpha_num,N_int)
|
|
||||||
s += 1
|
|
||||||
if (s > smax) then
|
|
||||||
deallocate(d)
|
|
||||||
allocate ( d(N_int,2,s+64) )
|
|
||||||
smax = s
|
|
||||||
endif
|
|
||||||
call configuration_to_dets(psi_configuration(1,1,i),d,s,elec_alpha_num,N_int)
|
|
||||||
do j=1,s
|
|
||||||
if ( is_in_wavefunction(d(1,1,j), N_int) ) then
|
|
||||||
cycle
|
|
||||||
endif
|
|
||||||
update = .true.
|
|
||||||
N_det_new += 1
|
|
||||||
det_buffer(:,:,N_det_new) = d(:,:,j)
|
|
||||||
if (N_det_new == bufsze) then
|
|
||||||
call fill_H_apply_buffer_no_selection(bufsze,det_buffer,N_int,ithread)
|
|
||||||
N_det_new = 0
|
|
||||||
endif
|
|
||||||
enddo
|
|
||||||
enddo
|
|
||||||
!$OMP END DO NOWAIT
|
|
||||||
|
|
||||||
if (N_det_new > 0) then
|
|
||||||
call fill_H_apply_buffer_no_selection(N_det_new,det_buffer,N_int,ithread)
|
|
||||||
endif
|
|
||||||
!$OMP BARRIER
|
|
||||||
deallocate(d,det_buffer)
|
|
||||||
!$OMP END PARALLEL
|
|
||||||
|
|
||||||
if (update) then
|
|
||||||
call copy_H_apply_buffer_to_wf
|
|
||||||
TOUCH N_det psi_coef psi_det psi_configuration N_configuration
|
|
||||||
endif
|
|
||||||
call write_time(6)
|
|
||||||
|
|
||||||
end
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ integer, dominant_cfg, (N_states) ]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Configuration of the determinants with the largest weight, for each state
|
|
||||||
END_DOC
|
|
||||||
integer :: k
|
|
||||||
do k=1,N_states
|
|
||||||
dominant_cfg(k) = det_to_configuration(dominant_det(k))
|
|
||||||
enddo
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ integer, N_dominant_dets_of_cfgs ]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Number of determinants in all dominant determinants
|
|
||||||
END_DOC
|
|
||||||
integer :: k, sze
|
|
||||||
|
|
||||||
N_dominant_dets_of_cfgs = 0
|
|
||||||
do k=1,N_states
|
|
||||||
call configuration_to_dets_size( &
|
|
||||||
psi_configuration(1,1,dominant_cfg(k)), &
|
|
||||||
sze, elec_alpha_num, N_int)
|
|
||||||
N_dominant_dets_of_cfgs += sze
|
|
||||||
enddo
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ integer(bit_kind), dominant_dets_of_cfgs, (N_int,2,N_dominant_dets_of_cfgs) ]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Configuration of the determinants with the largest weight, for each state
|
|
||||||
END_DOC
|
|
||||||
integer :: i,k,sze
|
|
||||||
i=1
|
|
||||||
do k=1,N_states
|
|
||||||
sze = N_dominant_dets_of_cfgs
|
|
||||||
call configuration_to_dets( &
|
|
||||||
psi_configuration(1,1,dominant_cfg(k)), &
|
|
||||||
dominant_dets_of_cfgs(1,1,i), &
|
|
||||||
sze,elec_alpha_num,N_int)
|
|
||||||
i += sze
|
|
||||||
enddo
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ integer, psi_configuration_to_psi_det, (2,N_configuration) ]
|
|
||||||
&BEGIN_PROVIDER [ integer, psi_configuration_to_psi_det_data, (N_det) ]
|
|
||||||
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! psi_configuration_to_psi_det_data(k) -> i : i is the index of the
|
|
||||||
! determinant in psi_det
|
|
||||||
!
|
|
||||||
! psi_configuration_to_psi_det(1:2,k) gives the first and last index of the
|
|
||||||
! determinants of configuration k in array psi_configuration_to_psi_det_data.
|
|
||||||
END_DOC
|
|
||||||
|
|
||||||
integer :: i, k, iorder
|
|
||||||
integer, allocatable :: confs(:)
|
|
||||||
allocate (confs(N_det))
|
|
||||||
|
|
||||||
do i=1,N_det
|
|
||||||
psi_configuration_to_psi_det_data(i) = i
|
|
||||||
confs(i) = det_to_configuration(i)
|
|
||||||
enddo
|
|
||||||
|
|
||||||
call isort(confs, psi_configuration_to_psi_det_data, N_det)
|
|
||||||
k=1
|
|
||||||
psi_configuration_to_psi_det(1,1) = 1
|
|
||||||
do i=2,N_det
|
|
||||||
if (confs(i) /= confs(i-1)) then
|
|
||||||
psi_configuration_to_psi_det(2,k) = i-1
|
|
||||||
k = k+1
|
|
||||||
psi_configuration_to_psi_det(1,k) = i
|
|
||||||
endif
|
|
||||||
enddo
|
|
||||||
psi_configuration_to_psi_det(2,k) = N_det
|
|
||||||
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
@ -1,194 +0,0 @@
|
|||||||
# -*- mode:org -*-
|
|
||||||
#+TITLE: CFG-CI
|
|
||||||
#+AUTHOR: Vijay Gopal Chilkuri
|
|
||||||
#+FILE: configurations.org
|
|
||||||
#+EMAIL: vijay.gopal.c@gmail.com
|
|
||||||
#+OPTIONS: toc:t
|
|
||||||
#+LATEX_CLASS: article
|
|
||||||
#+LATEX_HEADER: \usepackage{tabularx}
|
|
||||||
#+LATEX_HEADER: \usepackage{braket}
|
|
||||||
#+LATEX_HEADER: \usepackage{minted}
|
|
||||||
|
|
||||||
* Configuration based CI
|
|
||||||
|
|
||||||
Here we write the main functions that perform the functions necessary for
|
|
||||||
the Configuration based CI.
|
|
||||||
|
|
||||||
There are three main functions required for doing the CI
|
|
||||||
|
|
||||||
- Convert wavefunction from determinant basis to configuration state function (CSF) basis
|
|
||||||
|
|
||||||
- Apply the Hamiltonian to the wavefunction in CSF basis
|
|
||||||
|
|
||||||
- Convert the converged wavefunction back to determinant basis
|
|
||||||
|
|
||||||
** TODO[0/3] Convert basis from DET to CSF
|
|
||||||
|
|
||||||
The conversion of basis is done by going via bonded functions (BFs).
|
|
||||||
Importantly, all the CSFs of a chosen configuration (CFG) are kept.
|
|
||||||
|
|
||||||
The advantage is that the sigma-vector can be performed efficiently
|
|
||||||
via BLAS level 3 operations.
|
|
||||||
|
|
||||||
|
|
||||||
- [ ] Write a function to calculate the maximum dimensions required
|
|
||||||
|
|
||||||
Prototype array contains the \( <I|\hat{E}_{pq}|J> \) for all possible
|
|
||||||
CFGs \( I, J\) and all \(4\) types of excitations for all possible model
|
|
||||||
orbitals \(p,q\). Note that the orbital ids \(p,q\) here do not refer to
|
|
||||||
the actual MO ids, they simply refer to the orbitals involved in that spefcific
|
|
||||||
SOMO, for e.g. an excitation of the type [2 2 2 1 1 1 1 0] -> [ 2 2 1 1 1 1 1]
|
|
||||||
implies an excitation from orbital \(3\) to orbital \(8\) which are the real MO ids.
|
|
||||||
However, the prototype only concerns the SOMOs like so [2 1 1 1 1 0] -> [ 1 1 1 1 1 1]
|
|
||||||
therefore \(p,q\) are model space ids \(1,6\).
|
|
||||||
|
|
||||||
#+begin_src f90 :main no :tangle configurations_sigma_vector.irp.f
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ integer*8, NSOMOMax]
|
|
||||||
&BEGIN_PROVIDER [ integer*8, NCSFMax]
|
|
||||||
&BEGIN_PROVIDER [ integer*8, NMO]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Documentation for NSOMOMax
|
|
||||||
! The maximum number of SOMOs for the current calculation.
|
|
||||||
! required for the calculation of prototype arrays.
|
|
||||||
END_DOC
|
|
||||||
NSOMOMax = 8
|
|
||||||
NCSFMax = 14 ! TODO: NCSFs for MS=0
|
|
||||||
NMO = NSOMOMax ! TODO: remove this
|
|
||||||
END_PROVIDER
|
|
||||||
#+end_src
|
|
||||||
|
|
||||||
The prototype matrix AIJpqMatrixList has the following dimensions
|
|
||||||
\(\left(NSOMOMax, NSOMOMax, 4, NSOMOMax, NSOMOMax,NCSFMAx,NCSFMax\right)\) where the first two
|
|
||||||
indices represent the somos in \(I,J\) followed by the type of excitation and
|
|
||||||
finally the two model space orbitals \(p,q\).
|
|
||||||
|
|
||||||
The dimensions for each Isomo, Jsomo pair are precalculated and stored in the AIJpqMatrixDimsList
|
|
||||||
variable which is provided here.
|
|
||||||
|
|
||||||
|
|
||||||
#+begin_src f90 :main no :tangle configurations_sigma_vector.irp.f
|
|
||||||
BEGIN_PROVIDER [ double precision, AIJpqMatrixDimsList, (NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,2)]
|
|
||||||
use cfunctions
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Documentation for AIJpqMatrixList
|
|
||||||
! The prototype matrix containing the <I|E_{pq}|J>
|
|
||||||
! matrices for each I,J somo pair and orb ids.
|
|
||||||
END_DOC
|
|
||||||
integer i,j,k,l
|
|
||||||
integer*8 Isomo, Jsomo
|
|
||||||
Isomo = 0
|
|
||||||
Jsomo = 0
|
|
||||||
integer*8 rows, cols
|
|
||||||
rows = -1
|
|
||||||
cols = -1
|
|
||||||
integer*8 MS
|
|
||||||
MS = 0
|
|
||||||
print *,"NSOMOMax = ",NSOMOMax
|
|
||||||
!allocate(AIJpqMatrixDimsList(NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,2))
|
|
||||||
do i = 2, NSOMOMax, 2
|
|
||||||
Isomo = ISHFT(1,i)-1
|
|
||||||
do j = i-2,i+2, 2
|
|
||||||
Jsomo = ISHFT(1,j)-1
|
|
||||||
if(j .GT. NSOMOMax .OR. j .LE. 0) then
|
|
||||||
cycle
|
|
||||||
end if
|
|
||||||
do k = 1,NSOMOMax
|
|
||||||
do l = k,NSOMOMax
|
|
||||||
call getApqIJMatrixDims(Isomo, &
|
|
||||||
Jsomo, &
|
|
||||||
MS, &
|
|
||||||
rows, &
|
|
||||||
cols)
|
|
||||||
print *, i,j,k,l,">",Isomo,Jsomo,">",rows, cols
|
|
||||||
! i -> j
|
|
||||||
AIJpqMatrixDimsList(i,j,1,k,l,1) = rows
|
|
||||||
AIJpqMatrixDimsList(i,j,1,k,l,2) = cols
|
|
||||||
AIJpqMatrixDimsList(i,j,1,l,k,1) = rows
|
|
||||||
AIJpqMatrixDimsList(i,j,1,l,k,2) = cols
|
|
||||||
! j -> i
|
|
||||||
AIJpqMatrixDimsList(j,i,1,k,l,1) = rows
|
|
||||||
AIJpqMatrixDimsList(j,i,1,k,l,2) = cols
|
|
||||||
AIJpqMatrixDimsList(j,i,1,l,k,1) = rows
|
|
||||||
AIJpqMatrixDimsList(j,i,1,l,k,2) = cols
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
#+end_src
|
|
||||||
|
|
||||||
- [ ] Read the transformation matrix based on the number of SOMOs
|
|
||||||
|
|
||||||
We go through all the possible SOMOs and build the matrix-elements \(<I|E_{pq}|I>\) and
|
|
||||||
store it in the AIJpq container.
|
|
||||||
|
|
||||||
#+begin_src f90 :main no :tangle configurations_sigma_vector.irp.f
|
|
||||||
BEGIN_PROVIDER [ real*8, AIJpqContainer, (NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,NSOMOMax,NSOMOMax)]
|
|
||||||
use cfunctions
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Documentation for AIJpqMatrixList
|
|
||||||
! The prototype matrix containing the <I|E_{pq}|J>
|
|
||||||
! matrices for each I,J somo pair and orb ids.
|
|
||||||
END_DOC
|
|
||||||
integer i,j,k,l, orbp, orbq, ri, ci
|
|
||||||
orbp = 0
|
|
||||||
orbq = 0
|
|
||||||
integer*8 Isomo, Jsomo
|
|
||||||
Isomo = 0
|
|
||||||
Jsomo = 0
|
|
||||||
integer*8 rows, cols
|
|
||||||
rows = -1
|
|
||||||
cols = -1
|
|
||||||
integer*8 MS
|
|
||||||
MS = 0
|
|
||||||
real*8,dimension(:),allocatable :: meMatrix
|
|
||||||
print *,"NSOMOMax = ",NSOMOMax
|
|
||||||
!allocate(AIJpqMatrixDimsList(NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,2))
|
|
||||||
do i = 2, NSOMOMax, 2
|
|
||||||
Isomo = ISHFT(1,i)-1
|
|
||||||
do j = i-2,i+2, 2
|
|
||||||
Jsomo = ISHFT(1,j)-1
|
|
||||||
if(j .GT. NSOMOMax .OR. j .LE. 0) then
|
|
||||||
cycle
|
|
||||||
end if
|
|
||||||
do k = 1,NSOMOMax
|
|
||||||
do l = k,NSOMOMax
|
|
||||||
call getApqIJMatrixDims(Isomo, &
|
|
||||||
Jsomo, &
|
|
||||||
MS, &
|
|
||||||
rows, &
|
|
||||||
cols)
|
|
||||||
|
|
||||||
! allocate matrix
|
|
||||||
allocate(meMatrix(rows*cols))
|
|
||||||
|
|
||||||
! fill matrix
|
|
||||||
call getApqIJMatrixDriver(Isomo, &
|
|
||||||
Jsomo, &
|
|
||||||
orbp, &
|
|
||||||
orbq, &
|
|
||||||
MS, &
|
|
||||||
NMO, &
|
|
||||||
meMatrix, &
|
|
||||||
rows, &
|
|
||||||
cols)
|
|
||||||
print *, i,j,k,l,">",Isomo,Jsomo,">",rows, cols
|
|
||||||
! i -> j
|
|
||||||
do ri = 1,rows
|
|
||||||
do ci = 1,cols
|
|
||||||
AIJpqContainer(i,j,1,k,l,ri,ci) = meMatrix(ri*(cols-1) + ci)
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
END_PROVIDER
|
|
||||||
#+end_src
|
|
||||||
|
|
||||||
- [ ] Perform the conversion by matrix-vector BLAS level 2 call
|
|
@ -1,126 +0,0 @@
|
|||||||
BEGIN_PROVIDER [ integer*8, NSOMOMax]
|
|
||||||
&BEGIN_PROVIDER [ integer*8, NCSFMax]
|
|
||||||
&BEGIN_PROVIDER [ integer*8, NMO]
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Documentation for NSOMOMax
|
|
||||||
! The maximum number of SOMOs for the current calculation.
|
|
||||||
! required for the calculation of prototype arrays.
|
|
||||||
END_DOC
|
|
||||||
NSOMOMax = 8
|
|
||||||
NCSFMax = 14 ! TODO: NCSFs for MS=0
|
|
||||||
NMO = NSOMOMax ! TODO: remove this
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ double precision, AIJpqMatrixDimsList, (NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,2)]
|
|
||||||
use cfunctions
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Documentation for AIJpqMatrixList
|
|
||||||
! The prototype matrix containing the <I|E_{pq}|J>
|
|
||||||
! matrices for each I,J somo pair and orb ids.
|
|
||||||
END_DOC
|
|
||||||
integer i,j,k,l
|
|
||||||
integer*8 Isomo, Jsomo
|
|
||||||
Isomo = 0
|
|
||||||
Jsomo = 0
|
|
||||||
integer*8 rows, cols
|
|
||||||
rows = -1
|
|
||||||
cols = -1
|
|
||||||
integer*8 MS
|
|
||||||
MS = 0
|
|
||||||
print *,"NSOMOMax = ",NSOMOMax
|
|
||||||
!allocate(AIJpqMatrixDimsList(NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,2))
|
|
||||||
do i = 2, NSOMOMax, 2
|
|
||||||
Isomo = ISHFT(1,i)-1
|
|
||||||
do j = i-2,i+2, 2
|
|
||||||
Jsomo = ISHFT(1,j)-1
|
|
||||||
if(j .GT. NSOMOMax .OR. j .LE. 0) then
|
|
||||||
cycle
|
|
||||||
end if
|
|
||||||
do k = 1,NSOMOMax
|
|
||||||
do l = k,NSOMOMax
|
|
||||||
call getApqIJMatrixDims(Isomo, &
|
|
||||||
Jsomo, &
|
|
||||||
MS, &
|
|
||||||
rows, &
|
|
||||||
cols)
|
|
||||||
print *, i,j,k,l,">",Isomo,Jsomo,">",rows, cols
|
|
||||||
! i -> j
|
|
||||||
AIJpqMatrixDimsList(i,j,1,k,l,1) = rows
|
|
||||||
AIJpqMatrixDimsList(i,j,1,k,l,2) = cols
|
|
||||||
AIJpqMatrixDimsList(i,j,1,l,k,1) = rows
|
|
||||||
AIJpqMatrixDimsList(i,j,1,l,k,2) = cols
|
|
||||||
! j -> i
|
|
||||||
AIJpqMatrixDimsList(j,i,1,k,l,1) = rows
|
|
||||||
AIJpqMatrixDimsList(j,i,1,k,l,2) = cols
|
|
||||||
AIJpqMatrixDimsList(j,i,1,l,k,1) = rows
|
|
||||||
AIJpqMatrixDimsList(j,i,1,l,k,2) = cols
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
END_PROVIDER
|
|
||||||
|
|
||||||
BEGIN_PROVIDER [ real*8, AIJpqContainer, (NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,NSOMOMax,NSOMOMax)]
|
|
||||||
use cfunctions
|
|
||||||
implicit none
|
|
||||||
BEGIN_DOC
|
|
||||||
! Documentation for AIJpqMatrixList
|
|
||||||
! The prototype matrix containing the <I|E_{pq}|J>
|
|
||||||
! matrices for each I,J somo pair and orb ids.
|
|
||||||
END_DOC
|
|
||||||
integer i,j,k,l, orbp, orbq, ri, ci
|
|
||||||
orbp = 0
|
|
||||||
orbq = 0
|
|
||||||
integer*8 Isomo, Jsomo
|
|
||||||
Isomo = 0
|
|
||||||
Jsomo = 0
|
|
||||||
integer*8 rows, cols
|
|
||||||
rows = -1
|
|
||||||
cols = -1
|
|
||||||
integer*8 MS
|
|
||||||
MS = 0
|
|
||||||
real*8,dimension(:),allocatable :: meMatrix
|
|
||||||
print *,"NSOMOMax = ",NSOMOMax
|
|
||||||
!allocate(AIJpqMatrixDimsList(NSOMOMax,NSOMOMax,4,NSOMOMax,NSOMOMax,2))
|
|
||||||
do i = 2, NSOMOMax, 2
|
|
||||||
Isomo = ISHFT(1,i)-1
|
|
||||||
do j = i-2,i+2, 2
|
|
||||||
Jsomo = ISHFT(1,j)-1
|
|
||||||
if(j .GT. NSOMOMax .OR. j .LE. 0) then
|
|
||||||
cycle
|
|
||||||
end if
|
|
||||||
do k = 1,NSOMOMax
|
|
||||||
do l = k,NSOMOMax
|
|
||||||
call getApqIJMatrixDims(Isomo, &
|
|
||||||
Jsomo, &
|
|
||||||
MS, &
|
|
||||||
rows, &
|
|
||||||
cols)
|
|
||||||
|
|
||||||
! allocate matrix
|
|
||||||
allocate(meMatrix(rows*cols))
|
|
||||||
|
|
||||||
! fill matrix
|
|
||||||
call getApqIJMatrixDriver(Isomo, &
|
|
||||||
Jsomo, &
|
|
||||||
orbp, &
|
|
||||||
orbq, &
|
|
||||||
MS, &
|
|
||||||
NMO, &
|
|
||||||
meMatrix, &
|
|
||||||
rows, &
|
|
||||||
cols)
|
|
||||||
print *, i,j,k,l,">",Isomo,Jsomo,">",rows, cols
|
|
||||||
! i -> j
|
|
||||||
do ri = 1,rows
|
|
||||||
do ci = 1,cols
|
|
||||||
AIJpqContainer(i,j,1,k,l,ri,ci) = meMatrix(ri*(cols-1) + ci)
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
end do
|
|
||||||
END_PROVIDER
|
|
Loading…
Reference in New Issue
Block a user