mirror of
https://gitlab.com/scemama/QCaml.git
synced 2024-11-19 04:22:21 +01:00
408 lines
17 KiB
OCaml
408 lines
17 KiB
OCaml
open Util
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open Constants
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let cutoff2 = cutoff *. cutoff
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let debug = false
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exception NullQuartet
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(** Horizontal and Vertical Recurrence Relations (HVRR) *)
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let hvrr_two_e (angMom_a, angMom_b, angMom_c, angMom_d)
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(totAngMom_a, totAngMom_b, totAngMom_c, totAngMom_d)
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(maxm, zero_m_array)
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(expo_b, expo_d)
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(expo_inv_p, expo_inv_q)
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(center_ab, center_cd, center_pq)
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map_1d map_2d
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=
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(* 2_011_273 *) let totAngMom_a = Angular_momentum.to_int totAngMom_a
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and totAngMom_b = Angular_momentum.to_int totAngMom_b
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and totAngMom_c = Angular_momentum.to_int totAngMom_c
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and totAngMom_d = Angular_momentum.to_int totAngMom_d
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in
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let maxm = totAngMom_a + totAngMom_b + totAngMom_c + totAngMom_d in
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let empty = Array.make (maxm+1) 0.
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in
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if debug then begin
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Printf.printf "\n---- %d %d %d %d ----\n" totAngMom_a totAngMom_b totAngMom_c totAngMom_d;
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Printf.printf "%d %d %d\n" angMom_a.(0) angMom_a.(1) angMom_a.(2) ;
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Printf.printf "%d %d %d\n" angMom_b.(0) angMom_b.(1) angMom_b.(2) ;
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Printf.printf "%d %d %d\n" angMom_c.(0) angMom_c.(1) angMom_c.(2) ;
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Printf.printf "%d %d %d\n" angMom_d.(0) angMom_d.(1) angMom_d.(2) ;
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Printf.printf "%f %f %f %f\n%f %f %f\n%f %f %f\n%f %f %f\n" expo_b expo_d
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end
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expo_inv_p expo_inv_q
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(Coordinate.coord center_ab 0) (Coordinate.coord center_ab 1) (Coordinate.coord center_ab 2)
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(Coordinate.coord center_cd 0) (Coordinate.coord center_cd 1) (Coordinate.coord center_cd 2)
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(Coordinate.coord center_pq 0) (Coordinate.coord center_pq 1) (Coordinate.coord center_pq 2);
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(** Vertical recurrence relations *)
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let rec vrr0 angMom_a totAngMom_a =
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(* 1_137_164 *) if debug then
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Printf.printf "vrr0: %d : %d %d %d\n" totAngMom_a angMom_a.(0) angMom_a.(1) angMom_a.(2);
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match totAngMom_a with
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| 0 -> (* 66_288 *) zero_m_array
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| _ ->
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(* 1_070_876 *) let maxsze = maxm+1 in
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let key = Zkey.of_int_tuple (Zkey.Three
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(angMom_a.(0)+1, angMom_a.(1)+1, angMom_a.(2)+1) )
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in
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try Zmap.find map_1d key with
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| Not_found ->
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let result =
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let am = [| angMom_a.(0) ; angMom_a.(1) ; angMom_a.(2) |] in
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let xyz =
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match angMom_a with
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| [|_;0;0|] -> (* 28_336 *) 0
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| [|_;_;0|] -> (* 52_221 *) 1
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| _ -> (* 87_215 *) 2
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in
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am.(xyz) <- am.(xyz) - 1;
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if am.(xyz) < 0 then empty else
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let v1 =
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vrr0 am (totAngMom_a-1)
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in
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let f1 = expo_inv_p *. (Coordinate.coord center_pq xyz)
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and f2 = expo_b *. expo_inv_p *. (Coordinate.coord center_ab xyz)
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in
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if am.(xyz) < 1 then
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Array.init maxsze (fun m ->
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(* 544_860 *) if m = maxm then 0. else (f1 *. v1.(m+1) ) -. f2 *. v1.(m) )
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else
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let f3 = (float_of_int am.(xyz)) *. expo_inv_p *. 0.5 in
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let amm = [| angMom_a.(0) ; angMom_a.(1) ; angMom_a.(2) |] in
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let () = amm.(xyz) <- amm.(xyz) - 2 in
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let v3 =
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vrr0 amm (totAngMom_a-2)
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in
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Array.init maxsze (fun m ->
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(* 484_257 *) (if m = maxm then 0. else
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(f1 *. v1.(m+1) ) -. f2 *. v1.(m) )
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+. f3 *. (v3.(m) +. if m = maxm then 0. else
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expo_inv_p *. v3.(m+1))
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)
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in Zmap.add map_1d key result;
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result
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and vrr angMom_a angMom_c totAngMom_a totAngMom_c =
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(* 11_580_843 *) if debug then
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Printf.printf "vrr : %d %d : %d %d %d %d %d %d\n" totAngMom_a totAngMom_c angMom_a.(0) angMom_a.(1) angMom_a.(2) angMom_c.(0) angMom_c.(1) angMom_c.(2);
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match (totAngMom_a, totAngMom_c) with
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| (i,0) -> (* 959_629 *) if (i>0) then vrr0 angMom_a totAngMom_a else zero_m_array
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| (_,_) ->
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(* 10_621_214 *) let maxsze = maxm+1 in
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let key = Zkey.of_int_tuple (Zkey.Six
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((angMom_a.(0)+1, angMom_a.(1)+1, angMom_a.(2)+1),
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(angMom_c.(0)+1, angMom_c.(1)+1, angMom_c.(2)+1)) )
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in
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try Zmap.find map_2d key with
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| Not_found ->
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let result =
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let cm = [| angMom_c.(0) ; angMom_c.(1) ; angMom_c.(2) |] in
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let xyz =
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match angMom_c with
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| [|_;0;0|] -> (* 321_984 *) 0
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| [|_;_;0|] -> (* 612_002 *) 1
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| _ -> (* 1_067_324 *) 2
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in
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cm.(xyz) <- cm.(xyz) - 1;
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if cm.(xyz) < 0 then empty else
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let f1 =
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-. expo_d *. expo_inv_q *. (Coordinate.coord center_cd xyz)
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in
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let f2 =
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expo_inv_q *. (Coordinate.coord center_pq xyz)
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in
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let result =
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if ( (abs_float f1 < cutoff) && (abs_float f2 < cutoff) ) then empty else
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let v1 =
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vrr angMom_a cm totAngMom_a (totAngMom_c-1)
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in
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Array.init maxsze (fun m ->
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(* 9_232_029 *) f1 *. v1.(m) -. (if m = maxm then 0. else f2 *. v1.(m+1)) )
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in
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let result =
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if cm.(xyz) < 1 then result else
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let f3 =
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(float_of_int cm.(xyz)) *. expo_inv_q *. 0.5
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in
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if (abs_float f3 < cutoff) && (abs_float (f3 *. expo_inv_q) < cutoff) then result else
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(
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let cmm = [| angMom_c.(0) ; angMom_c.(1) ; angMom_c.(2) |] in
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cmm.(xyz) <- cmm.(xyz) - 2;
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let v3 =
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vrr angMom_a cmm totAngMom_a (totAngMom_c-2)
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in
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Array.init maxsze (fun m -> (* 7_322_025 *) result.(m) +.
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f3 *. (v3.(m) +. (if m=maxm then 0. else expo_inv_q *. v3.(m+1)) ))
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)
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in
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let result =
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let am = [| angMom_a.(0) ; angMom_a.(1) ; angMom_a.(2) |] in
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am.(xyz) <- am.(xyz) - 1;
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if am.(xyz) lor cm.(xyz) < 0 then result else
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let f5 =
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(float_of_int angMom_a.(xyz)) *. expo_inv_p *. expo_inv_q *. 0.5
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in
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if (abs_float f5 < cutoff) then result else
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let v5 =
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vrr am cm (totAngMom_a-1) (totAngMom_c-1)
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in
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Array.init (maxsze) (fun m ->
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(* 7_963_213 *) result.(m) -. (if m = maxm then 0. else f5 *. v5.(m+1)))
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in
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result
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in Zmap.add map_2d key result;
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result
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(** Horizontal recurrence relations *)
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and hrr0 angMom_a angMom_b angMom_c
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totAngMom_a totAngMom_b totAngMom_c =
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(* 8_448_486 *) if debug then
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Printf.printf "hrr0: %d %d %d : %d %d %d %d %d %d %d %d %d\n" totAngMom_a totAngMom_b totAngMom_c angMom_a.(0) angMom_a.(1) angMom_a.(2) angMom_b.(0) angMom_b.(1) angMom_b.(2) angMom_c.(0) angMom_c.(1) angMom_c.(2);
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match totAngMom_b with
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| 0 -> (* 0 *) (vrr angMom_a angMom_c totAngMom_a totAngMom_c).(0)
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| 1 ->
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(* 5_045_008 *) let xyz = if angMom_b.(0) = 1 then 0 else if angMom_b.(1) = 1 then 1 else 2 in
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let ap = [| angMom_a.(0) ; angMom_a.(1) ; angMom_a.(2) |] in
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ap.(xyz) <- ap.(xyz) + 1;
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let v1 =
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vrr ap angMom_c (totAngMom_a+1) totAngMom_c
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in
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let f2 =
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(Coordinate.coord center_ab xyz)
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in
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if (abs_float f2 < cutoff) then v1.(0) else
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let v2 =
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vrr angMom_a angMom_c totAngMom_a totAngMom_c
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in
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v1.(0) +. f2 *. v2.(0)
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| _ ->
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(* 3_403_478 *) let ap = [| angMom_a.(0) ; angMom_a.(1) ; angMom_a.(2) |]
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and bm = [| angMom_b.(0) ; angMom_b.(1) ; angMom_b.(2) |]
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and xyz =
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match angMom_b with
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| [|_;0;0|] -> (* 677_315 *) 0
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| [|_;_;0|] -> (* 1_136_646 *) 1
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| _ -> (* 1_589_517 *) 2
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in
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ap.(xyz) <- ap.(xyz) + 1;
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bm.(xyz) <- bm.(xyz) - 1;
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if (bm.(xyz) < 0) then 0. else
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let h1 =
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hrr0 ap bm angMom_c (totAngMom_a+1) (totAngMom_b-1) totAngMom_c
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in
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let f2 =
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(Coordinate.coord center_ab xyz)
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in
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if (abs_float f2 < cutoff) then h1 else
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let h2 =
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hrr0 angMom_a bm angMom_c totAngMom_a (totAngMom_b-1) totAngMom_c
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in
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h1 +. f2 *. h2
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and hrr angMom_a angMom_b angMom_c angMom_d
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totAngMom_a totAngMom_b totAngMom_c totAngMom_d =
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(* 7_738_602 *) if debug then
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Printf.printf "hrr : %d %d %d %d : %d %d %d %d %d %d %d %d %d %d %d %d\n" totAngMom_a totAngMom_b totAngMom_c totAngMom_d angMom_a.(0) angMom_a.(1) angMom_a.(2) angMom_b.(0) angMom_b.(1) angMom_b.(2) angMom_c.(0) angMom_c.(1) angMom_c.(2) angMom_d.(0) angMom_d.(1) angMom_d.(2);
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match (totAngMom_b, totAngMom_d) with
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| (_,0) -> (* 3_608_781 *) if (totAngMom_b = 0) then
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(vrr angMom_a angMom_c totAngMom_a totAngMom_c).(0)
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else
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hrr0 angMom_a angMom_b angMom_c totAngMom_a totAngMom_b totAngMom_c
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| (_,_) ->
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(* 4_130_325 *) let cp = [| angMom_c.(0) ; angMom_c.(1) ; angMom_c.(2) |]
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and dm = [| angMom_d.(0) ; angMom_d.(1) ; angMom_d.(2) |]
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and xyz =
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match angMom_d with
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| [|_;0;0|] -> (* 1_524_451 *) 0
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| [|_;_;0|] -> (* 1_302_937 *) 1
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| _ -> (* 1_302_937 *) 2
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in
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cp.(xyz) <- cp.(xyz) + 1;
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dm.(xyz) <- dm.(xyz) - 1;
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let h1 =
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hrr angMom_a angMom_b cp dm totAngMom_a totAngMom_b (totAngMom_c+1) (totAngMom_d-1)
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in
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let f2 = Coordinate.coord center_cd xyz in
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if (abs_float f2 < cutoff) then h1 else
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let h2 =
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hrr angMom_a angMom_b angMom_c dm totAngMom_a totAngMom_b totAngMom_c (totAngMom_d-1)
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in
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h1 +. f2 *. h2
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in
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hrr angMom_a angMom_b angMom_c angMom_d totAngMom_a totAngMom_b totAngMom_c totAngMom_d
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let contracted_class_shell_pairs ~zero_m ?schwartz_p ?schwartz_q shell_p shell_q : float Zmap.t =
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(* 12850 *) let shell_a = shell_p.(0).Shell_pair.shell_a
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and shell_b = shell_p.(0).Shell_pair.shell_b
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and shell_c = shell_q.(0).Shell_pair.shell_a
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and shell_d = shell_q.(0).Shell_pair.shell_b
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in
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let maxm =
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let open Angular_momentum in
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(to_int @@ Contracted_shell.totAngMom shell_a) + (to_int @@ Contracted_shell.totAngMom shell_b)
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+ (to_int @@ Contracted_shell.totAngMom shell_c) + (to_int @@ Contracted_shell.totAngMom shell_d)
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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
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(Angular_momentum.Quartet
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Contracted_shell.(totAngMom shell_a, totAngMom shell_b,
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totAngMom shell_c, totAngMom shell_d))
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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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(* Compute all integrals in the shell for each pair of significant shell pairs *)
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for ab=0 to (Array.length shell_p - 1) do
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let cab = shell_p.(ab).Shell_pair.coef in
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let b = shell_p.(ab).Shell_pair.j in
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let norm_coef_scale_p = shell_p.(ab).Shell_pair.norm_coef_scale in
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for cd=0 to (Array.length shell_q - 1) do
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let coef_prod =
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cab *. shell_q.(cd).Shell_pair.coef
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in
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(** Screening on the product of coefficients *)
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try
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if (abs_float coef_prod) < 1.e-4*.cutoff then
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raise NullQuartet;
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let expo_pq_inv =
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shell_p.(ab).Shell_pair.expo_inv +. shell_q.(cd).Shell_pair.expo_inv
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in
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let center_pq =
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Coordinate.(shell_p.(ab).Shell_pair.center |- shell_q.(cd).Shell_pair.center)
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in
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let norm_pq_sq =
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Coordinate.dot center_pq center_pq
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in
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let zero_m_array =
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zero_m ~maxm ~expo_pq_inv ~norm_pq_sq
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in
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begin
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match Contracted_shell.(totAngMom shell_a, totAngMom shell_b,
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totAngMom shell_c, totAngMom shell_d) with
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| Angular_momentum.(S,S,S,S) ->
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(* 14_700 *) let integral =
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zero_m_array.(0)
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in
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contracted_class.(0) <- contracted_class.(0) +. coef_prod *. integral
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| _ ->
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(* 15_577 *) let d = shell_q.(cd).Shell_pair.j in
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let map_1d = Zmap.create (4*maxm) in
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let map_2d = Zmap.create (Array.length class_indices) in
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let norm_coef_scale_q = shell_q.(cd).Shell_pair.norm_coef_scale in
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let norm_coef_scale =
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Array.map (fun v1 ->
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(* 165_245 *) Array.map (fun v2 -> (* 2_011_273 *) v1 *. v2) norm_coef_scale_q
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) norm_coef_scale_p
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|> Array.to_list
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|> Array.concat
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in
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(* Compute the integral class from the primitive shell quartet *)
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class_indices
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|> Array.iteri (fun i key ->
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(* 2_011_273 *) let a = Zkey.to_int_array Zkey.Kind_12 key in
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let (angMomA,angMomB,angMomC,angMomD) =
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( [| a.(0) ; a.(1) ; a.(2) |],
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[| a.(3) ; a.(4) ; a.(5) |],
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[| a.(6) ; a.(7) ; a.(8) |],
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[| a.(9) ; a.(10) ; a.(11) |] )
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in
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try
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(* Schwartz screening *)
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(*
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let schwartz_p =
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let key =
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Zkey.of_int_array Zkey.Kind_12
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[| a.(0) ; a.(1) ; a.(2) ;
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a.(3) ; a.(4) ; a.(5) ;
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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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match schwartz_p with
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| None -> 1.
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| Some schwartz_p -> Zmap.find schwartz_p key
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in
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if schwartz_p < cutoff then raise NullQuartet;
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let schwartz_q =
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let key =
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Zkey.of_int_array Zkey.Kind_12
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[| a.(6) ; a.(7) ; a.(8) ;
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a.(9) ; a.(10) ; a.(11) ;
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a.(6) ; a.(7) ; a.(8) ;
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a.(9) ; a.(10) ; a.(11) |]
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in
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match schwartz_q with
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| None -> 1.
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| Some schwartz_q -> Zmap.find schwartz_q key
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in
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if schwartz_p *. schwartz_q < cutoff2 then raise NullQuartet;
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*)
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let norm = norm_coef_scale.(i) in
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let coef_prod = coef_prod *. norm in
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let integral =
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(* 2_011_273 *) hvrr_two_e (angMomA, angMomB, angMomC, angMomD)
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(Contracted_shell.totAngMom shell_a, Contracted_shell.totAngMom shell_b,
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Contracted_shell.totAngMom shell_c, Contracted_shell.totAngMom shell_d)
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(maxm, zero_m_array)
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(Contracted_shell.expo shell_b b, Contracted_shell.expo shell_d d)
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(shell_p.(ab).Shell_pair.expo_inv, shell_q.(cd).Shell_pair.expo_inv)
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(shell_p.(ab).Shell_pair.center_ab, shell_q.(cd).Shell_pair.center_ab, center_pq)
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map_1d map_2d
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in
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contracted_class.(i) <- contracted_class.(i) +. coef_prod *. integral
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with NullQuartet -> ()
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)
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end
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with NullQuartet -> ()
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done
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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 -> (* 1_929_480 *) Zmap.add result key contracted_class.(i)) class_indices;
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result
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(** Computes all the two-electron integrals of the contracted shell quartet *)
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let contracted_class ~zero_m shell_a shell_b shell_c shell_d : float Zmap.t =
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(* 0 *) let shell_p = Shell_pair.create_array ~cutoff shell_a shell_b
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and shell_q = Shell_pair.create_array ~cutoff shell_c shell_d
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in
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contracted_class_shell_pairs ~zero_m shell_p shell_q
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