QCaml/Basis/Orthonormalization.ml

30 lines
545 B
OCaml

open Util
open Lacaml.D
type t =
| Lowdin of Mat.t
| Canonical of Mat.t
| Svd of Mat.t
let make_lowdin ?(thresh=1.e-12) ~overlap =
let u_vec, u_val = diagonalize_symm overlap in
Vec.iter (fun x -> if x < thresh then
invalid_arg (__FILE__^": make_lowdin") ) u_val;
let u_val = Vec.reci (Vec.sqrt u_val) in
let u_vec' =
Mat.init_cols (Mat.dim1 u_vec) (Mat.dim2 u_vec) (fun i j -> u_vec.{i,j} *. u_val.{j})
in
let result =
gemm u_vec' ~transb:`T u_vec
in
Lowdin result
let make = make_lowdin