(** General basis set read from a file  *)

type primitive =
  {
    exponent   : float ;
    coefficient: float ;
  }

type general_contracted_shell = AngularMomentum.t * (primitive array)

type element_basis = Element.t * (general_contracted_shell array)

type t = element_basis list


exception No_shell
exception Malformed_shell of string


let read_shell ic =
  try

    let shell, n =
      try
        let line = input_line ic in
        if String.trim line = "$END" then raise End_of_file;
        Scanf.sscanf line " %c %d " (fun shell n -> shell, n)
      with
      | End_of_file -> raise No_shell
      | Scanf.Scan_failure m -> raise (Malformed_shell m)
    in

    let rec loop = function
      | 0 -> []
      | i -> let contraction = 
               let line = (input_line ic) in
               try Scanf.sscanf line " %_d %f %f "
                     (fun exponent coefficient -> { exponent ; coefficient })
               with _ -> raise (Malformed_shell (Printf.sprintf
                     "Expected %d %c contractions, error at contraction %d:\n%s"
                      n shell (n-i+1) line))
        in
        contraction :: loop (pred i)
    in
    Some (AngularMomentum.of_char shell, Array.of_list (loop n))

  with
  | No_shell -> None




let read_element ic =
  try

    let element =
      Scanf.sscanf (input_line ic) " %s " Element.of_string
    in

    let rec loop () =
      match read_shell ic with
      | Some shell -> shell :: loop ()
      | None -> []
    in
    Some (element, Array.of_list (loop ()) )

  with
  | End_of_file -> None
  


let read filename =
  let ic = open_in filename in
  let rec loop accu =
    try
      match read_element ic with
      | Some e -> loop (e :: accu)
      | None -> accu
    with
    Element.ElementError _ -> loop accu
  in
  loop []


let combine basis_list =
  let h = Hashtbl.create 63 in
  List.concat basis_list
  |> List.iter (fun (k,v) ->
      let l = Hashtbl.find_all h k in
      Hashtbl.replace h k (Array.concat (l@[v]) )
      ) ;
  Hashtbl.fold (fun k v accu -> (k, v)::accu) h []


let read_many filenames =
  List.map read filenames
  |> combine

  
let string_of_primitive ?id prim =
  match id with
  | None -> (string_of_float prim.exponent)^" "^(string_of_float prim.coefficient)
  | Some i -> (string_of_int i)^" "^(string_of_float prim.exponent)^" "^(string_of_float prim.coefficient)


let string_of_contracted_shell (angular_momentum, prim_array) =
  let n = 
    Array.length prim_array
  in
  Printf.sprintf "%s %d\n%s"
    (AngularMomentum.to_string angular_momentum) n
    (Array.init n (fun i -> string_of_primitive ~id:(i+1) prim_array.(i))
     |> Array.to_list
     |> String.concat "\n")


let string_of_contracted_shell_array a =
  Array.map string_of_contracted_shell a
  |> Array.to_list
  |> String.concat "\n"


let to_string (name, contracted_shell_array) =
  Printf.sprintf "%s\n%s" name (string_of_contracted_shell_array contracted_shell_array)