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Introducing monocentric
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25
Basis/ERI.ml
25
Basis/ERI.ml
@ -196,28 +196,13 @@ let to_file ~filename basis =
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Printf.printf "Computed %d non-zero ERIs in %f seconds\n" !inn (Unix.gettimeofday () -. t0);
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(* Print ERIs *)
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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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for k=0 to i do
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for l=0 to k do
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(* Write the data in the output file *)
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Array.iteri (fun i_c _ ->
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let i_c = basis.(i).Contracted_shell.indice + i_c + 1 in
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Array.iteri (fun j_c _ ->
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let j_c = basis.(j).Contracted_shell.indice + j_c + 1 in
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Array.iteri (fun k_c _ ->
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let k_c = basis.(k).Contracted_shell.indice + k_c + 1 in
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Array.iteri (fun l_c _ ->
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let l_c = basis.(l).Contracted_shell.indice + l_c + 1 in
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for i_c=1 to (Genarray.nth_dim eri_array 0) do
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for j_c=1 to (Genarray.nth_dim eri_array 2) do
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for k_c=1 to (Genarray.nth_dim eri_array 1) do
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for l_c=1 to (Genarray.nth_dim eri_array 3) do
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let value = eri_array.{(i_c-1),(k_c-1),(j_c-1),(l_c-1)} in
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if (value <> 0.) then
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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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) 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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Printf.fprintf oc " %5d %5d %5d %5d%20.15f\n" i_c k_c j_c l_c value;
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done;
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done;
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done;
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@ -15,6 +15,7 @@ type t = {
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j : int;
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shell_a : Contracted_shell.t;
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shell_b : Contracted_shell.t;
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monocentric : bool
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}
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exception Null_contribution
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@ -86,7 +87,10 @@ let create_array ?cutoff p_a p_b =
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let center_a =
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Coordinate.(center |- Contracted_shell.center p_a)
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in
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Some { i ; j ; shell_a=p_a ; shell_b=p_b ; norm_coef ; coef ; expo ; expo_inv ; center ; center_a ; center_ab ; norm_sq ; norm_coef_scale }
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let monocentric =
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Contracted_shell.center p_a = Contracted_shell.center p_b
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in
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Some { i ; j ; shell_a=p_a ; shell_b=p_b ; norm_coef ; coef ; expo ; expo_inv ; center ; center_a ; center_ab ; norm_sq ; norm_coef_scale ; monocentric }
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with
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| Null_contribution -> None
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)
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@ -31,11 +31,11 @@ let hvrr_two_e (angMom_a, angMom_b, angMom_c, angMom_d)
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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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(Coordinate.coord center_pq 0) (Coordinate.coord center_pq 1) (Coordinate.coord center_pq 2)
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end;
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(** Vertical recurrence relations *)
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let rec vrr0 angMom_a totAngMom_a =
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@ -54,13 +54,10 @@ let hvrr_two_e (angMom_a, angMom_b, angMom_c, angMom_d)
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| Not_found ->
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let result =
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let am, amm, amxyz, xyz =
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let x, y, z = angMom_a in
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if (z > 0) then
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(x,y,z-1),(x,y,z-2), z-1, 2
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else if (y > 0) then
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(x,y-1,0),(x,y-2,0), y-1, 1
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else
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(x-1,0,0),(x-2,0,0), x-1, 0
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match angMom_a with
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| (x,0,0) -> (x-1,0,0),(x-2,0,0), x-1, 0
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| (x,y,0) -> (x,y-1,0),(x,y-2,0), y-1, 1
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| (x,y,z) -> (x,y,z-1),(x,y,z-2), z-1, 2
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in
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if amxyz < 0 then empty else
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let v1 =
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@ -125,7 +122,9 @@ let hvrr_two_e (angMom_a, angMom_b, angMom_c, angMom_d)
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(angMom_cx-2, angMom_cy, angMom_cz),
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angMom_ax,angMom_cx, 0
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in
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(*
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if cxyz < 1 then empty else
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*)
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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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@ -364,6 +363,12 @@ let contracted_class_shell_pairs ~zero_m ?schwartz_p ?schwartz_q shell_p shell_q
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|> Array.to_list
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|> Array.concat
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in
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(*
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let monocentric =
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shell_p.(ab).Shell_pair.monocentric &&
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shell_q.(cd).Shell_pair.monocentric
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in
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*)
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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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@ -375,6 +380,16 @@ let contracted_class_shell_pairs ~zero_m ?schwartz_p ?schwartz_q shell_p shell_q
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[| a.(9) ; a.(10) ; a.(11) |] )
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in
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try
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(*
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if monocentric then
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begin
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if ( ((1 land (a.(0) + a.(3) + a.(6) + a.( 9)))=1) ||
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((1 land (a.(1) + a.(4) + a.(7) + a.(10)))=1) ||
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((1 land (a.(2) + a.(5) + a.(8) + a.(11)))=1)
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) then
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raise NullQuartet
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end;
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*)
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(* Schwartz screening *)
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(*
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let schwartz_p =
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@ -408,7 +423,7 @@ let contracted_class_shell_pairs ~zero_m ?schwartz_p ?schwartz_q shell_p shell_q
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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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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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@ -103,25 +103,27 @@ let hvrr_two_e_vector (angMom_a, angMom_b, angMom_c, angMom_d)
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let result =
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begin
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let am, cm, cmm, axyz, cxyz, xyz =
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let angMom_ax, angMom_ay, angMom_az = angMom_a
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and angMom_cx, angMom_cy, angMom_cz = angMom_c in
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if (angMom_cz > 0) then
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(angMom_ax, angMom_ay, angMom_az-1),
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(angMom_cx, angMom_cy, angMom_cz-1),
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(angMom_cx, angMom_cy, angMom_cz-2),
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angMom_az,angMom_cz, 2
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else if (angMom_cy > 0) then
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(angMom_ax, angMom_ay-1, angMom_az),
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(angMom_cx, angMom_cy-1, angMom_cz),
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(angMom_cx, angMom_cy-2, angMom_cz),
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angMom_ay,angMom_cy, 1
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let (aax, aay, aaz) = angMom_a
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and (acx, acy, acz) = angMom_c in
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if (acz > 0) then
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(aax, aay, aaz-1),
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(acx, acy, acz-1),
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(acx, acy, acz-2),
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aaz, acz, 2
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else if (acy > 0) then
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(aax, aay-1,aaz),
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(acx, acy-1,acz),
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(acx, acy-2,acz),
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aay,acy, 1
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else
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(angMom_ax-1, angMom_ay, angMom_az),
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(angMom_cx-1, angMom_cy, angMom_cz),
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(angMom_cx-2, angMom_cy, angMom_cz),
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angMom_ax,angMom_cx, 0
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(aax-1,aay,aaz),
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(acx-1,acy,acz),
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(acx-2,acy,acz),
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aax,acx, 0
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in
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(*
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if cxyz < 1 then empty else
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*)
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let f1 =
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Array.init ncoef (fun k ->
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expo_d.(k) *. expo_inv_q.(k) *.
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@ -199,12 +201,12 @@ let hvrr_two_e_vector (angMom_a, angMom_b, angMom_c, angMom_d)
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| (_,_) -> vrr_v 0 angMom_a angMom_c totAngMom_a totAngMom_c
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end
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| 1 ->
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let angMom_ax, angMom_ay, angMom_az = angMom_a in
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let (aax, aay, aaz) = angMom_a in
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let ap, xyz =
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match angMom_b with
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| (_,_,1) -> (angMom_ax,angMom_ay,angMom_az+1), 2
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| (_,1,_) -> (angMom_ax,angMom_ay+1,angMom_az), 1
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| (_,_,_) -> (angMom_ax+1,angMom_ay,angMom_az), 0
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| (_,_,1) -> (aax,aay,aaz+1), 2
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| (_,1,_) -> (aax,aay+1,aaz), 1
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| (_,_,_) -> (aax+1,aay,aaz), 0
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in
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let f = Coordinate.coord center_ab xyz in
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let v1 =
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@ -216,20 +218,20 @@ let hvrr_two_e_vector (angMom_a, angMom_b, angMom_c, angMom_d)
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in
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Array.map2 (fun v1 v2 -> v1 +. v2 *. f) v1 v2
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| _ ->
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let angMom_ax, angMom_ay, angMom_az = angMom_a
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and angMom_bx, angMom_by, angMom_bz = angMom_b in
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let (aax, aay, aaz) = angMom_a
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and (abx, aby, abz) = angMom_b in
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let bxyz, xyz =
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match angMom_b with
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| (_,_,1) -> angMom_bz, 2
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| (_,1,_) -> angMom_by, 1
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| (_,_,_) -> angMom_bx, 0
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| (_,_,1) -> abz, 2
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| (_,1,_) -> aby, 1
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| (_,_,_) -> abx, 0
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in
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if (bxyz < 1) then empty else
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let ap, bm =
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match xyz with
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| 0 -> (angMom_ax+1,angMom_ay,angMom_az),(angMom_bx-1,angMom_by,angMom_bz)
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| 1 -> (angMom_ax,angMom_ay+1,angMom_az),(angMom_bx,angMom_by-1,angMom_bz)
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| _ -> (angMom_ax,angMom_ay,angMom_az+1),(angMom_bx,angMom_by,angMom_bz-1)
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| 0 -> (aax+1,aay,aaz),(abx-1,aby,abz)
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| 1 -> (aax,aay+1,aaz),(abx,aby-1,abz)
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| _ -> (aax,aay,aaz+1),(abx,aby,abz-1)
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in
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let h1 =
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@ -250,20 +252,20 @@ let hvrr_two_e_vector (angMom_a, angMom_b, angMom_c, angMom_d)
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else
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hrr0_v angMom_a angMom_b angMom_c totAngMom_a totAngMom_b totAngMom_c
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| (_,_) ->
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let (angMom_cx, angMom_cy, angMom_cz) = angMom_c
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and (angMom_dx, angMom_dy, angMom_dz) = angMom_d in
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let (acx, acy, acz) = angMom_c
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and (adx, ady, adz) = angMom_d in
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let cp, dm, xyz =
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match angMom_d with
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| (_,0,0) -> (angMom_cx+1, angMom_cy, angMom_cz), (angMom_dx-1, angMom_dy, angMom_dz), 0
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| (_,_,0) -> (angMom_cx, angMom_cy+1, angMom_cz), (angMom_dx, angMom_dy-1, angMom_dz), 1
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| _ -> (angMom_cx, angMom_cy, angMom_cz+1), (angMom_dx, angMom_dy, angMom_dz-1), 2
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| (_,0,0) -> (acx+1, acy, acz), (adx-1, ady, adz), 0
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| (_,_,0) -> (acx, acy+1, acz), (adx, ady-1, adz), 1
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| _ -> (acx, acy, acz+1), (adx, ady, adz-1), 2
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in
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let h1 =
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hrr_v angMom_a angMom_b cp dm totAngMom_a totAngMom_b (totAngMom_c+1) (totAngMom_d-1)
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and h2 =
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hrr_v 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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Array.mapi (fun k center_cd -> h1.(k) +. h2.(k) *. (Coordinate.coord center_cd xyz)) center_cd
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Array.init ncoef (fun k -> h1.(k) +. h2.(k) *. (Coordinate.coord center_cd.(k) xyz))
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in
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hrr_v
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(angMom_a.(0),angMom_a.(1),angMom_a.(2))
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