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352 lines
12 KiB
OCaml
352 lines
12 KiB
OCaml
(** Electron-electron repulsion integrals *)
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open Util
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(** (00|00)^m : Fundamental electron repulsion integral
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$ \int \int \phi_p(r1) 1/r_{12} \phi_q(r2) dr_1 dr_2 $
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maxm : Maximum total angular momentum
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expo_pq_inv : $1./p + 1./q$ where $p$ and $q$ are the exponents of
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$\phi_p$ and $\phi_q$
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norm_pq_sq : square of the distance between the centers of $\phi_p$
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and $\phi_q$
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*)
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let zero_m ~maxm ~expo_pq_inv ~norm_pq_sq =
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let exp_pq = 1. /. expo_pq_inv in
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let t = norm_pq_sq *. exp_pq in
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boys_function ~maxm t
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|> Array.mapi (fun m fm ->
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two_over_sq_pi *. (if m mod 2 = 0 then fm else -.fm) *.
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(pow exp_pq m) *. (sqrt exp_pq)
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)
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(** Compute all the integrals of a contracted class *)
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(*
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let contracted_class shell_a shell_b shell_c shell_d : float Zmap.t =
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TwoElectronRRVectorized.contracted_class ~zero_m shell_a shell_b shell_c shell_d
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*)
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let contracted_class shell_a shell_b shell_c shell_d : float Zmap.t =
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TwoElectronRR.contracted_class ~zero_m shell_a shell_b shell_c shell_d
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(** Compute all the integrals of a contracted class *)
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let contracted_class_shell_pairs_vec ?schwartz_p ?schwartz_q shell_p shell_q : float Zmap.t =
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TwoElectronRRVectorized.contracted_class_shell_pairs ~zero_m ?schwartz_p ?schwartz_q shell_p shell_q
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let contracted_class_shell_pairs ?schwartz_p ?schwartz_q shell_p shell_q : float Zmap.t =
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TwoElectronRR.contracted_class_shell_pairs ~zero_m ?schwartz_p ?schwartz_q shell_p shell_q
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let cutoff2 = cutoff *. cutoff
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(*
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type n_cls = { n : int ; cls : Z.t array }
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*)
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exception NullIntegral
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(** Write all integrals to a file with the <ij|kl> convention *)
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let to_file ~filename basis =
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let to_int_tuple x =
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let open Zkey in
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match to_int_tuple 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 oc = open_out filename in
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(* Pre-compute all shell pairs *)
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let shell_pairs =
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Array.mapi (fun i shell_a -> Array.map (fun shell_b ->
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Shell_pair.create_array shell_a shell_b) (Array.sub basis 0 (i+1)) ) basis
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in
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Printf.printf "%d shells\n" (Array.length basis);
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(* Pre-compute diagonal integrals for Schwartz *)
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let schwartz =
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Array.map (fun pair_array -> Array.map (fun pair ->
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let cls =
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contracted_class_shell_pairs pair pair
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in
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(cls, Zmap.fold (fun key value accu -> max (abs_float value) accu) cls 0. )
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) pair_array ) shell_pairs
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in
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let icount = ref 0 in
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for i=0 to (Array.length basis) - 1 do
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print_int basis.(i).Contracted_shell.indice ; print_newline ();
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for j=0 to i do
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let schwartz_p, schwartz_p_max = schwartz.(i).(j) in
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if (schwartz_p_max >= cutoff) then
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icount := !icount + 1;
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done;
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done;
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Printf.printf "%d shell pairs\n" !icount;
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let inn = ref 0 and out = ref 0 in
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for i=0 to (Array.length basis) - 1 do
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print_int basis.(i).Contracted_shell.indice ; print_newline ();
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for j=0 to i do
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let schwartz_p, schwartz_p_max = schwartz.(i).(j) in
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try
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if (schwartz_p_max < cutoff) then raise NullIntegral;
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let
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shell_p = shell_pairs.(i).(j)
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in
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for k=0 to i do
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for l=0 to k do
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let schwartz_q, schwartz_q_max = schwartz.(k).(l) in
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try
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if schwartz_p_max *. schwartz_q_max < cutoff2 then
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raise NullIntegral;
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let
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shell_q = shell_pairs.(k).(l)
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in
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let swap =
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Array.length shell_q < Array.length shell_p
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in
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(* Compute all the integrals of the class *)
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let cls =
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if swap then
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if Array.length shell_p < 2 then
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contracted_class_shell_pairs ~schwartz_p:schwartz_q ~schwartz_q:schwartz_p shell_q shell_p
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else
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contracted_class_shell_pairs_vec ~schwartz_p:schwartz_q ~schwartz_q:schwartz_p shell_q shell_p
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else
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if Array.length shell_q < 2 then
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contracted_class_shell_pairs ~schwartz_p ~schwartz_q shell_p shell_q
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else
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contracted_class_shell_pairs_vec ~schwartz_p ~schwartz_q shell_p shell_q
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in
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(* Write the data in the output file *)
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Array.iteri (fun i_c powers_i ->
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let i_c = basis.(i).Contracted_shell.indice + i_c + 1 in
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let xi = to_int_tuple powers_i in
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Array.iteri (fun j_c powers_j ->
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let j_c = basis.(j).Contracted_shell.indice + j_c + 1 in
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let xj = to_int_tuple powers_j in
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Array.iteri (fun k_c powers_k ->
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let k_c = basis.(k).Contracted_shell.indice + k_c + 1 in
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let xk = to_int_tuple powers_k in
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Array.iteri (fun l_c powers_l ->
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let l_c = basis.(l).Contracted_shell.indice + l_c + 1 in
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let xl = to_int_tuple powers_l in
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let key =
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if swap then
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Zkey.of_int_tuple (Zkey.Twelve (xk,xl,xi,xj))
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else
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Zkey.of_int_tuple (Zkey.Twelve (xi,xj,xk,xl))
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in
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let value =
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Zmap.find cls key
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in
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if (abs_float value > cutoff) then
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(inn := !inn + 1;
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Printf.fprintf oc "%4d %4d %4d %4d %20.12e\n"
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i_c k_c j_c l_c value
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)
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else
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out := !out + 1;
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) basis.(l).Contracted_shell.powers
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) basis.(k).Contracted_shell.powers
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) basis.(j).Contracted_shell.powers
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) basis.(i).Contracted_shell.powers;
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with NullIntegral -> ()
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done;
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done;
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with NullIntegral -> ()
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done;
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done;
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Printf.printf "In: %d Out:%d\n" !inn !out ;
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close_out oc
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(*
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module IntegralMap = Zmap
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let index i j k l =
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Zkey.of_int_array Zkey.Kind_4 [| i;j;k;l |]
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module Key = struct
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type t=int
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let equal (x:int) (y:int) = x = y
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let hash (x:int) = x
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end
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module IntegralMap = Hashtbl.Make(Key)
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let index i j k l =
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let f i k =
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let (p,r) =
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if i <= k then (i,k) else (k,i)
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in p+ (r*r-r)/2
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in
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let p = f i k and q = f j l in
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f p q
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let to_file ~filename basis =
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let oc = open_out filename in
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let zkey = Array.map (fun b ->
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let result =
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Angular_momentum.(zkey_array (Kind_1 b.Contracted_shell.totAngMom))
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in
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{ n=Array.length result ; cls=result }
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) basis
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in
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let key_array = Array.make 12 0 in
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let result = ref [] in
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let i_shift = ref 1 in
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for i=0 to (Array.length basis) - 1 do
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print_int !i_shift ; print_newline ();
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let j_shift = ref 1 in
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for j=0 to i do
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let k_shift = ref 1 in
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for k=0 to i do
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let l_shift = ref 1 in
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for l=0 to k do
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let cls =
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contracted_class basis.(i) basis.(j) basis.(k) basis.(l)
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in
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for i_c = 0 to zkey.(i).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(i).cls.(i_c)) in
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key_array.(0) <- x.(0);
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key_array.(1) <- x.(1);
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key_array.(2) <- x.(2);
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for j_c = 0 to zkey.(j).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(j).cls.(j_c)) in
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key_array.(3) <- x.(0);
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key_array.(4) <- x.(1);
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key_array.(5) <- x.(2);
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for k_c = 0 to zkey.(k).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(k).cls.(k_c)) in
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key_array.(6) <- x.(0);
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key_array.(7) <- x.(1);
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key_array.(8) <- x.(2);
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for l_c = 0 to zkey.(l).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(l).cls.(l_c)) in
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key_array.( 9) <- x.(0);
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key_array.(10) <- x.(1);
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key_array.(11) <- x.(2);
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let key =
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Zkey.(of_int_array Kind_12 key_array)
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in
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let value =
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Zmap.find cls key
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in
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if (abs_float value > cutoff) then
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let key =
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index (!i_shift+i_c) (!j_shift+j_c) (!k_shift+k_c) (!l_shift+l_c)
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in
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result := (key, value) :: !result
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done
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done
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done
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done;
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l_shift := !l_shift + zkey.(l).n
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done;
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k_shift := !k_shift + zkey.(k).n
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done;
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j_shift := !j_shift + zkey.(j).n
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done;
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i_shift := !i_shift + zkey.(i).n
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done
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;
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print_endline "Computation Done";
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let result = Array.of_list !result in
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let result =
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let a = IntegralMap.create (Array.length result) in
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Array.iter (fun (k,v) -> IntegralMap.add a k v) result;
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a
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in
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print_endline "Map formed";
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for i=1 to !i_shift - 1 do
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for k=1 to !i_shift - 1 do
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for j=1 to !i_shift - 1 do
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for l=1 to !i_shift - 1 do
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let key =
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index i j k l
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in
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try
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let value =
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IntegralMap.find result key
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in
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Printf.fprintf oc " %5d %5d %5d %5d%20.15f\n" i j k l value
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with Not_found -> ()
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done
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done
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done
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done;
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close_out oc
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let xto_file ~filename basis =
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let zkey = Array.map (fun b ->
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let result =
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Angular_momentum.(zkey_array (Kind_1 b.Contracted_shell.totAngMom))
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in
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{ n=Array.length result ; cls=result }
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) basis
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in
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let key_array = Array.make 12 0 in
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let result = ref [] in
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let (i,j,k,l) = (1,1,1,18) in
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let (i,j,k,l) = (i-1,j-1,k-1,l-1) in
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basis.(i) |> Contracted_shell.to_string |> print_endline;
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basis.(j) |> Contracted_shell.to_string |> print_endline;
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basis.(k) |> Contracted_shell.to_string |> print_endline;
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basis.(l) |> Contracted_shell.to_string |> print_endline;
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let bi, bj, bk, bl =
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basis.(i), basis.(j), basis.(k), basis.(l)
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in
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let cls =
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(*contracted_class basis.(i) basis.(j) basis.(k) basis.(l) *)
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contracted_class bi bj bk bl
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in
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Zmap.iter (fun k v -> Printf.printf "%50s %20e\n" Zkey.(to_string Kind_12 k) v) cls;
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for i_c = 0 to zkey.(i).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(i).cls.(i_c)) in
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key_array.(0) <- x.(0);
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key_array.(1) <- x.(1);
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key_array.(2) <- x.(2);
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for j_c = 0 to zkey.(j).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(j).cls.(j_c)) in
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key_array.(3) <- x.(0);
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key_array.(4) <- x.(1);
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key_array.(5) <- x.(2);
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for k_c = 0 to zkey.(k).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(k).cls.(k_c)) in
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key_array.(6) <- x.(0);
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key_array.(7) <- x.(1);
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key_array.(8) <- x.(2);
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for l_c = 0 to zkey.(l).n - 1 do
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let x = Zkey.(to_int_array Kind_3 zkey.(l).cls.(l_c)) in
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key_array.( 9) <- x.(0);
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key_array.(10) <- x.(1);
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key_array.(11) <- x.(2);
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let key =
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Zkey.(of_int_array Kind_12 key_array)
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in
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let value =
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Zmap.find cls key
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in
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if (abs_float value > cutoff) then
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result := (key, value) :: !result
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done
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done
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done
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done;
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List.iter (fun (k,v) -> Printf.printf "%60s %e\n" Zkey.(to_string Kind_12 k) v) !result
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;
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*)
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