QCaml/SCF/Guess.ml

78 lines
1.9 KiB
OCaml

open Lacaml.D
open Util
type guess =
| Hcore of Mat.t
| Huckel of Mat.t
type t = guess
module Ao = AOBasis
module El = Electrons
module Ov = Overlap
let hcore_guess ao_basis =
let eN_ints = Lazy.force ao_basis.Ao.eN_ints |> NucInt.matrix
and kin_ints = Lazy.force ao_basis.Ao.kin_ints |> KinInt.matrix
in
Mat.add eN_ints kin_ints
let huckel_guess ao_basis =
let c = 0.5 *. 1.75 in
let ao_num = Basis.size ao_basis.Ao.basis in
let eN_ints = Lazy.force ao_basis.Ao.eN_ints |> NucInt.matrix
and kin_ints = Lazy.force ao_basis.Ao.kin_ints |> KinInt.matrix
and overlap = Lazy.force ao_basis.Ao.overlap |> Ov.matrix
and m_X = Lazy.force ao_basis.Ao.ortho
in
let diag = Array.init (ao_num+1) (fun i -> if i=0 then 0. else
eN_ints.{i,i} +. kin_ints.{i,i})
in
function
| 0 -> invalid_arg "Huckel guess needs a non-zero number of occupied MOs."
| nocc ->
let density = gemm ~alpha:2. ~transb:`T ~k:nocc m_X m_X in
let fock = Fock.make ~density ao_basis in
let m_F = fock.Fock.fock in
for j=1 to ao_num do
for i=1 to ao_num do
if (i <> j) then
m_F.{i,j} <- c *. overlap.{i,j} *. (diag.(i) +. diag.(j)) (*TODO Pseudo *)
done;
done;
m_F
let make ?(nocc=0) ~guess ao_basis =
match guess with
| `Hcore -> Hcore (hcore_guess ao_basis)
| `Huckel -> Huckel (huckel_guess ao_basis nocc)
let test_case ao_basis =
let test_hcore () =
match make ~guess:`Hcore ao_basis with
| Hcore matrix ->
let a = Lacaml.D.Mat.to_array matrix in
let reference =
Lacaml.D.Mat.add
(Lazy.force ao_basis.AOBasis.eN_ints |> NucInt.matrix)
(Lazy.force ao_basis.AOBasis.kin_ints |> KinInt.matrix)
|> Lacaml.D.Mat.to_array
in
Array.iteri (fun i x ->
Alcotest.(check (array (float 1.e-15))) "same guess" a.(i) x) reference
| _ -> assert false
in
[
"HCore", `Quick, test_hcore;
]