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150 lines
3.8 KiB
OCaml
150 lines
3.8 KiB
OCaml
open Util
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open Constants
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open Lacaml.D
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open Coordinate
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type t = Mat.t
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(** Computes all the overlap integrals of the contracted shell pair *)
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let contracted_class shell_a shell_b : float Zmap.t =
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let shell_p =
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ContractedShellPair.create shell_a shell_b
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in
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(* Pre-computation of integral class indices *)
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let class_indices =
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Angular_momentum.zkey_array (Angular_momentum.Doublet
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Contracted_shell.(totAngMom shell_a, totAngMom shell_b))
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in
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let contracted_class =
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Array.make (Array.length class_indices) 0.
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in
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let sp =
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shell_p.ContractedShellPair.shell_pairs
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in
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let center_ab =
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shell_p.ContractedShellPair.center_ab
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in
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let norm_coef_scale =
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shell_p.ContractedShellPair.norm_coef_scale
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in
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(* Compute all integrals in the shell for each pair of significant shell pairs *)
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for ab=0 to (Array.length sp - 1)
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do
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let coef_prod =
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shell_p.ContractedShellPair.coef.(ab)
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in
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(** Screening on thr product of coefficients *)
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if (abs_float coef_prod) > 1.e-4*.cutoff then
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begin
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let expo_inv =
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shell_p.ContractedShellPair.expo_inv.(ab)
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in
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let center_pa =
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sp.(ab).ShellPair.center_a
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in
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Array.iteri (fun i key ->
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let (angMomA,angMomB) =
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let a = Zkey.to_int_array Zkey.Kind_6 key in
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( [| a.(0) ; a.(1) ; a.(2) |],
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[| a.(3) ; a.(4) ; a.(5) |] )
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in
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let f k =
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let xyz = match k with
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| 0 -> X
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| 1 -> Y
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| _ -> Z
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in
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Overlap_primitives.hvrr (angMomA.(k), angMomB.(k))
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expo_inv
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(Coordinate.get xyz center_ab,
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Coordinate.get xyz center_pa)
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in
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let norm = norm_coef_scale.(i) in
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let integral = chop norm (fun () -> (f 0)*.(f 1)*.(f 2)) in
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contracted_class.(i) <- contracted_class.(i) +. coef_prod *. integral
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) class_indices
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end
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done;
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let result =
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Zmap.create (Array.length contracted_class)
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in
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Array.iteri (fun i key -> Zmap.add result key contracted_class.(i)) class_indices;
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result
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(** Create overlap matrix *)
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let of_basis basis =
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let to_powers x =
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let open Zkey in
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match to_powers Kind_3 x with
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| Three x -> x
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| _ -> assert false
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in
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let n =
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Basis.size basis
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and shell =
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Basis.contracted_shells basis
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in
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let result = Mat.create n n in
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for j=0 to (Array.length shell) - 1 do
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for i=0 to j do
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(* Compute all the integrals of the class *)
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let cls =
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contracted_class shell.(i) shell.(j)
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in
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Array.iteri (fun j_c powers_j ->
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let j_c = Contracted_shell.index shell.(j) + j_c + 1 in
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let xj = to_powers powers_j in
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Array.iteri (fun i_c powers_i ->
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let i_c = Contracted_shell.index shell.(i) + i_c + 1 in
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let xi = to_powers powers_i in
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let key =
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Zkey.of_powers (Zkey.Six (xi,xj))
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in
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let value =
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try Zmap.find cls key
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with Not_found -> failwith "Bug in overlap integrals"
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in
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result.{i_c,j_c} <- value;
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result.{j_c,i_c} <- value;
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) (Contracted_shell.powers shell.(i));
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) (Contracted_shell.powers shell.(j))
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done;
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done;
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Mat.detri result;
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result
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(** Write all overlap integrals to a file *)
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let to_file ~filename overlap =
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let oc = open_out filename in
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let n =
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Mat.dim1 overlap
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in
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for j=1 to n do
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for i=1 to j do
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if (abs_float overlap.{i,j} > cutoff) then
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Printf.fprintf oc "%4d %4d %20.12e\n" i j overlap.{i,j}
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done;
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done;
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close_out oc
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