QCaml/SCF/Fock.ml

114 lines
2.9 KiB
OCaml

open Lacaml.D
open Simulation
open Constants
open Util
type t =
{
fock : Mat.t ;
core : Mat.t ;
coulomb : Mat.t ;
exchange : Mat.t ;
}
module Ao = AOBasis
let make ~density ao_basis =
let m_P = density
and m_T = Lazy.force ao_basis.Ao.kin_ints |> KinInt.matrix
and m_V = Lazy.force ao_basis.Ao.eN_ints |> NucInt.matrix
and m_G = Lazy.force ao_basis.Ao.ee_ints
in
let nBas = Mat.dim1 m_T
in
let m_Hc = Mat.add m_T m_V
and m_J = Array.make_matrix nBas nBas 0.
and m_K = Array.make_matrix nBas nBas 0.
in
(*
let permutations i j k l =
[ [ i ; j ; k ; l ] ;
[ k ; j ; i ; l ] ;
[ i ; l ; k ; j ] ;
[ k ; l ; i ; j ] ;
[ j ; i ; l ; k ] ;
[ j ; k ; l ; i ] ;
[ l ; i ; j ; k ] ;
[ l ; k ; j ; i ]
]
in
ERI.to_stream m_G
|> Stream.iter (fun { ERI.i_r1 ; j_r2 ; k_r1 ; l_r2 ; value } ->
permutations i_r1 j_r2 k_r1 l_r2
|> List.iter ( fun ijkl ->
match ijkl with
| mu :: lambda :: nu :: sigma :: [] ->
let p = m_P.{lambda,sigma} in
if abs_float p > epsilon then
let m_Jnu = m_J.(nu-1) in
m_Jnu.(mu-1) <- m_Jnu.(mu-1) +. p *. value
| _ -> assert false
));
*)
for sigma = 1 to nBas do
for nu = 1 to nBas do
let m_Jnu = m_J.(nu-1) in
for lambda = 1 to sigma do
let p =
if lambda < sigma then
2. *. m_P.{lambda,sigma}
else
m_P.{lambda,sigma}
in
if abs_float p > epsilon then
for mu = 1 to nu do
m_Jnu.(mu-1) <- m_Jnu.(mu-1) +. p *.
ERI.get_phys m_G mu lambda nu sigma
done
done
done
done;
for nu = 1 to nBas do
for mu = 1 to nu-1 do
m_J.(mu-1).(nu-1) <- m_J.(nu-1).(mu-1);
done
done;
for nu = 1 to nBas do
let m_Knu = m_K.(nu-1) in
for sigma = 1 to nBas do
for lambda = 1 to nBas do
let p =
0.5 *. m_P.{lambda,sigma}
in
if abs_float p > epsilon then
for mu = 1 to nu do
m_Knu.(mu-1) <- m_Knu.(mu-1) -. p *.
ERI.get_phys m_G mu lambda sigma nu
done
done
done;
for mu = 1 to nu-1 do
m_K.(mu-1).(nu-1) <- m_Knu.(mu-1);
done
done;
let m_J = Mat.of_array m_J
and m_K = Mat.of_array m_K
in
{ fock = Mat.add m_Hc (Mat.add m_J m_K) ;
core = m_Hc ; coulomb = m_J ; exchange = m_K }
let pp_fock ppf a =
Format.fprintf ppf "@[<2>";
Format.fprintf ppf "@[ Fock matrix:@[<2>@[%a@]@.]@]" pp_matrix a.fock;
Format.fprintf ppf "@[ Core Hamiltonian:@[<2>@[%a@]@.]@]" pp_matrix a.core;
Format.fprintf ppf "@[ Coulomb matrix:@[<2>@[%a@]@.]@]" pp_matrix a.coulomb;
Format.fprintf ppf "@[ Exchange matrix:@[<2>@[%a@]@.]@]" pp_matrix a.exchange;
Format.fprintf ppf "@]"