QCaml/Basis/ContractedShell.ml

142 lines
3.5 KiB
OCaml

open Util
open Constants
type t = {
expo : float array;
coef : float array;
norm_coef : float array;
norm_coef_scale : float array;
prim : PrimitiveShell.t array;
center : Coordinate.t;
ang_mom : AngularMomentum.t;
index : int;
}
module Am = AngularMomentum
module Co = Coordinate
module Ps = PrimitiveShell
let make ?(index=0) lc =
assert (Array.length lc > 0);
let coef = Array.map fst lc
and prim = Array.map snd lc
in
let center = Ps.center prim.(0) in
let rec unique_center = function
| 0 -> true
| i -> if Ps.center prim.(i) = center then (unique_center [@tailcall]) (i-1) else false
in
if not (unique_center (Array.length prim - 1)) then
invalid_arg "ContractedShell.make Coordinate.t differ";
let ang_mom = Ps.ang_mom prim.(0) in
let rec unique_angmom = function
| 0 -> true
| i -> if Ps.ang_mom prim.(i) = ang_mom then (unique_angmom [@tailcall]) (i-1) else false
in
if not (unique_angmom (Array.length prim - 1)) then
invalid_arg "ContractedShell.make: AngularMomentum.t differ";
let expo = Array.map Ps.exponent prim in
let norm_coef =
Array.map Ps.normalization prim
in
let norm_coef_scale = Ps.norm_scales prim.(0)
in
{ index ; expo ; coef ; center ; ang_mom ; norm_coef ;
norm_coef_scale ; prim }
let with_index a i =
{ a with index = i }
let exponents x = x.expo
let coefficients x = x.coef
let center x = x.center
let ang_mom x = x.ang_mom
let size x = Array.length x.prim
let normalizations x = x.norm_coef
let norm_scales x = x.norm_coef_scale
let index x = x.index
let size_of_shell x = Array.length x.norm_coef_scale
let primitives x = x.prim
let zkey_array x = Ps.zkey_array x.prim.(0)
let values t point =
(* Radial part *)
let r = Co.( point |- t.center ) in
let r2 = Co.dot r r in
let radial =
let rec aux accu = function
| -1 -> accu
| i -> let new_accu =
t.norm_coef.(i) *. t.coef.(i) *. exp(-. t.expo.(i) *. r2) +. accu
in aux new_accu (i-1)
in
aux 0. (Array.length t.expo - 1)
in
(* Angular part *)
let n = Am.to_int t.ang_mom in
let x = Array.create_float (n+1) in
let y = Array.create_float (n+1) in
let z = Array.create_float (n+1) in
let fill arr v =
arr.(0) <- 1.;
for i=1 to n do
arr.(i) <- arr.(i-1) *. v
done;
in
fill x r.x; fill y r.y; fill z r.z;
let powers =
Am.zkey_array (Am.Singlet t.ang_mom)
in
Array.mapi (fun i a ->
let p = Zkey.to_int_array a in
t.norm_coef_scale.(i) *. x.(p.(0)) *. y.(p.(1)) *. z.(p.(2)) *. radial
) powers
(** {2 Printers} *)
open Format
let pp_debug ppf x =
fprintf ppf "@[<2>{@ ";
fprintf ppf "@[<2>expo =@ %a ;@]@ " pp_float_array_size x.expo;
fprintf ppf "@[<2>coef =@ %a ;@]@ " pp_float_array_size x.coef;
fprintf ppf "@[<2>center =@ %a ;@]@ " Co.pp_angstrom x.center;
fprintf ppf "@[<2>ang_mom =@ %a ;@]@ " Am.pp_string x.ang_mom;
fprintf ppf "@[<2>norm_coef =@ %a ;@]@ " pp_float_array_size x.norm_coef;
fprintf ppf "@[<2>norm_coef_scale =@ %a ;@]@ " pp_float_array_size x.norm_coef_scale;
fprintf ppf "@[<2>index =@ %d ;@]@ " x.index;
fprintf ppf "}@,@]"
let pp ppf s =
(match s.ang_mom with
| Am.S -> fprintf ppf "@[%3d@] " (s.index+1)
| _ -> fprintf ppf "@[%3d-%-3d@]" (s.index+1) (s.index+(Array.length s.norm_coef_scale))
);
fprintf ppf "@[%a@ %a@]@[" Am.pp_string s.ang_mom Co.pp s.center;
Array.iter2 (fun e c -> fprintf ppf "@[%16.8e %16.8e@]@;" e c) s.expo s.coef;
fprintf ppf "@]"