open Core.Std;;

type t = {
  x : float ;
  y : float ;
  z : float ;
}

(** Read x y z coordinates in string s with units u *)
let of_string u s =
  let f = match u with 
    | Units.Bohr     -> 1.
    | Units.Angstrom -> Units.angstrom_to_bohr 
  in
  let l = s
  |> String.split ~on:' '
  |> List.filter ~f:(fun x -> x <> "")
  |> List.map ~f:Float.of_string
  |> Array.of_list
  in
  { x = l.(0) *. f ;
    y = l.(1) *. f ;
    z = l.(2) *. f }
;;
           

let distance2 p1 p2 =
  let { x=x1 ; y=y1 ; z=z1 } = p1
  and { x=x2 ; y=y2 ; z=z2 } = p2 in
  (x2-.x1)*.(x2-.x1) +. (y2-.y1)*.(y2-.y1) +. (z2-.z1)*.(z2-.z1) 
;;

let distance p1 p2 = sqrt (distance2 p1 p2)
;;

let to_string u p =
  let f = match u with 
    | Units.Bohr     -> 1.
    | Units.Angstrom -> Units.bohr_to_angstrom
  in
  let { x=x ; y=y ; z=z } = p in
  Printf.sprintf "%f  %f  %f" (x*.f) (y*.f) (z*.f)
;;