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PT2 is not working yet
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CI/CI.ml
163
CI/CI.ml
@ -385,12 +385,14 @@ let make ?(n_states=1) det_space =
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(*
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let pt2 { det_space ; m_H ; m_S2 ; eigensystem ; n_states } =
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let mo_basis = Ds.mo_basis det_space in
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let mo_class = DeterminantSpace.mo_class det_space in
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let mo_indices =
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let cls = MOClass.mo_class_array (DeterminantSpace.mo_class det_space) in
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Util.list_range 1 (Ds.mo_basis det_space |> MOBasis.size)
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let cls = MOClass.mo_class_array mo_class in
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Util.list_range 1 (MOBasis.size mo_basis)
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|> List.filter (fun i -> match cls.(i) with
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| MOClass.Deleted _
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| MOClass.Core _ -> false
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@ -398,6 +400,7 @@ let pt2 { det_space ; m_H ; m_S2 ; eigensystem ; n_states } =
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)
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in
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(* Only the gournd state is computed here *)
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let psi0, e0 = Lazy.force eigensystem in
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let psi0 =
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@ -405,44 +408,128 @@ let pt2 { det_space ; m_H ; m_S2 ; eigensystem ; n_states } =
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Ds.determinant_stream det_space
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in
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Array.init (Ds.size det_space) (fun i ->
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(Stream.next stream, psi0.{i,1})
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Stream.next stream, psi0.{i+1,1})
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in
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let e0 = e0.{1} in
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let det_contribution i =
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let psi_filtered =
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List.filter (fun (det, _) ->
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Determinant.degree det i < 4) psi0
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(*
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let is_internal =
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let m l =
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List.fold_left (fun accu i ->
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let j = i-1 in Z.(logor accu (shift_left one j))
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) Z.zero l
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in
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List.fold_left (fun accu spin1 ->
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accu +.
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List.fold_left (fun accu particle ->
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accu +.
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List.fold_left (fun accu hole ->
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let alfa =
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Determinant.single_excitation spin1 hole particle i
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in
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if Determinant.is_none alfa then
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accu
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else
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let psi_h_alfa =
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Array.fold_left (fun (det, coef) ->
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coef *. (h_ij det alfa)
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) 0. psi_filtered
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in
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let h_aa = h_ij alfa alfa in
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accu +. psi_h_alfa *. psi_h_alfa / (e0 - h_aa)
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) 0. mo_indices
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) 0. mo_indices
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) 0. [ Spin.Alfa ; Spin.Beta ]
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let active_mask = m (MOClass.active_mos mo_class) in
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let occ_mask = m (MOClass.core_mos mo_class) in
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let inactive_mask = m (MOClass.inactive_mos mo_class) in
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let occ_mask = Z.logor occ_mask inactive_mask in
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let neg_active_mask = Z.lognot active_mask in
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fun a ->
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let alfa =
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Determinant.alfa a
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|> Spindeterminant.bitstring
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in
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if Z.logand neg_active_mask alfa <> occ_mask then
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false
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else
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let beta =
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Determinant.beta a
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|> Spindeterminant.bitstring
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in
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Z.logand neg_active_mask beta = occ_mask
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in
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*)
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let det_contribution i =
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let psi_filtered_idx =
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let rec aux accu = function
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| j when j <= i -> List.rev accu
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| j -> if Determinant.degree (fst psi0.(i)) (fst psi0.(j)) < 4 then
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aux (j::accu) (j-1)
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else
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aux accu (j-1)
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in aux [] (Array.length psi0 - 1)
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in
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let psi_filtered =
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List.map (fun i -> psi0.(i)) psi_filtered_idx
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in
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let psi_h alfa =
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let hij = h_ij mo_basis alfa in
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List.fold_left (fun accu (det, coef) ->
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accu +. coef *. (hij det)) 0. psi_filtered
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in
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let is_internal alfa =
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let rec aux = function
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| -1 -> false
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| j -> Determinant.degree (fst psi0.(j)) alfa = 0 || aux (j-1)
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in
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aux (Array.length psi0 - 1)
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in
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let already_generated alfa =
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if is_internal alfa then
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true
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else
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let rec aux = function
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| -1 -> false
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| j -> Determinant.degree (fst psi0.(j)) alfa <= 2 || aux (j-1)
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in
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aux (i-1)
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in
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let det_i = fst psi0.(i) in
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List.fold_left (fun accu particle ->
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accu +.
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List.fold_left (fun accu hole ->
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if hole = particle then accu else
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accu +.
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List.fold_left (fun accu spin ->
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let alfa =
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Determinant.single_excitation spin hole particle det_i
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in
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if Determinant.is_none alfa then accu else
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let single =
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if already_generated alfa then 0. else
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let h_aa = h_ij mo_basis alfa alfa in
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let psi_h_alfa = psi_h alfa in
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psi_h_alfa *. psi_h_alfa /. (e0 -. h_aa)
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in
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let double =
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List.fold_left (fun accu particle' ->
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accu +.
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List.fold_left (fun accu hole' ->
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accu +.
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List.fold_left (fun accu spin' ->
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let alfa =
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Determinant.double_excitation
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spin hole particle
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spin' hole' particle' det_i
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in
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if Determinant.is_none alfa ||
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already_generated alfa then
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accu
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else
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let h_aa = h_ij mo_basis alfa alfa in
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let psi_h_alfa = psi_h alfa in
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accu +. psi_h_alfa *. psi_h_alfa /. (e0 -. h_aa)
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) 0. [ Spin.Alfa ; Spin.Beta ]
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) 0. mo_indices
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) 0. mo_indices
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in
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accu +. single +. double
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) 0. [ Spin.Alfa ; Spin.Beta ]
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) 0. mo_indices
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) 0. mo_indices
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in
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Array.mapi (fun i (_,c_i) -> c_i *. det_contribution i) psi0
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|> Array.fold_left (+.) 0.
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match det_space with
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| Ds.Arbitrary -> assert false
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| Ds.Spin alfa_dets beta_dets ->
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Array.map ( fun alfa ->
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Array.map ( fun beta ->
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) beta_dets
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) alfa_dets
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*)
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@ -154,6 +154,46 @@ let determinant t i =
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Determinant.of_spindeterminants alfa beta
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let cas_of_mo_basis mo_basis n m =
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let s = MOBasis.simulation mo_basis in
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let e = Simulation.electrons s in
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let n_alfa = Electrons.n_alfa e
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and n_beta = Electrons.n_beta e in
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let det_a =
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Ss.cas_of_mo_basis mo_basis n_alfa n m
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and det_b =
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Ss.cas_of_mo_basis mo_basis n_beta n m
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in
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let mo_class = Ss.mo_class det_a in
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let determinants =
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let det_alfa = Ss.spin_determinants det_a
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and det_beta = Ss.spin_determinants det_b
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in
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let n_det_beta = Array.length det_beta in
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let n_det_alfa = Array.length det_alfa in
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let ndet = n_det_alfa * n_det_beta in
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Format.printf "Number of determinants : %d %d %d\n%!"
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n_det_alfa n_det_beta ndet;
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Spin (det_alfa, det_beta)
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(*
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let det = Array.make n_det_alfa
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(Array.init n_det_beta (fun i -> i))
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in
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let index_start = Array.init (n_det_alfa+1) (fun i -> i*n_det_beta) in
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let ndet = (index_start.(n_det_alfa)) in
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Format.printf "Number of determinants : %d %d %d\n%!"
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n_det_alfa n_det_beta ndet;
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Arbitrary {
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det_alfa ; det_beta ; det ; index_start
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}
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*)
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in
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{ n_alfa ; n_beta ; mo_class ; mo_basis ; determinants }
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let fci_of_mo_basis ?(frozen_core=true) mo_basis =
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let s = MOBasis.simulation mo_basis in
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let e = Simulation.electrons s in
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@ -51,6 +51,10 @@ val fci_of_mo_basis : ?frozen_core:bool -> MOBasis.t -> t
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All other MOs are untouched.
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*)
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val cas_of_mo_basis : MOBasis.t -> int -> int -> t
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(** Creates a CAS(n,m) space of determinants.
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*)
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(** {2 Printing} *)
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val pp_det_space : Format.formatter -> t -> unit
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@ -24,6 +24,8 @@ let fci_of_mo_basis ?(frozen_core=true) mo_basis elec_num =
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and active_mask = m (MOClass.active_mos mo_class)
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in
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let neg_active_mask = Z.lognot active_mask in
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(* Here we generate the FCI space and filter out unwanted determinants
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with excitations involving the core electrons. This should be improved. *)
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let spin_determinants =
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Util.bit_permtutations elec_num mo_num
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|> List.filter (fun b -> Z.logand neg_active_mask b = occ_mask)
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@ -33,6 +35,30 @@ let fci_of_mo_basis ?(frozen_core=true) mo_basis elec_num =
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{ elec_num ; mo_basis ; mo_class ; spin_determinants }
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let cas_of_mo_basis mo_basis elec_num n m =
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let mo_num = MOBasis.size mo_basis in
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let mo_class = MOClass.cas_sd mo_basis n m in
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let m l =
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List.fold_left (fun accu i -> let j = i-1 in Z.(logor accu (shift_left one j))
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) Z.zero l
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in
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let active_mask = m (MOClass.active_mos mo_class) in
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let occ_mask = m (MOClass.core_mos mo_class) in
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let inactive_mask = m (MOClass.inactive_mos mo_class) in
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let occ_mask = Z.logor occ_mask inactive_mask in
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let neg_active_mask = Z.lognot active_mask in
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(* Here we generate the FCI space and filter out all the unwanted determinants.
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This should be improved. *)
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let spin_determinants =
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Util.bit_permtutations elec_num mo_num
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|> List.filter (fun b -> Z.logand neg_active_mask b = occ_mask)
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|> List.map (fun b -> Spindeterminant.of_bitstring b)
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|> Array.of_list
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in
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{ elec_num ; mo_basis ; mo_class ; spin_determinants }
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let pp_spindet_space ppf t =
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Format.fprintf ppf "@[<v 2>[ ";
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Array.iteri (fun i d -> Format.fprintf ppf "@[<v>@[%8d@] @[%a@]@]@;" i
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@ -25,8 +25,14 @@ val mo_basis : t -> MOBasis.t
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(** {1 Creation} *)
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val fci_of_mo_basis : ?frozen_core:bool -> MOBasis.t -> int -> t
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(** Create a space of all possible ways to put [n_elec] electrons in the [Active] MOs.
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All other MOs are untouched.
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(** Create a space of all possible ways to put [n_elec-ncore] electrons in the
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[Active] MOs. All other MOs are untouched.
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*)
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val cas_of_mo_basis : MOBasis.t -> int -> int -> int -> t
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(** [cas_of_mo_basis mo_basis n_elec n m] creates a CAS(n,m) space of
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[Active] MOs. The unoccupied MOs are [Virtual], and the occupied MOs
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are [Core] and [Inactive].
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*)
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