(***********************************************************************)
(*                                                                     *)
(*                               TAToo                                 *)
(*                                                                     *)
(*                     Kim Nguyen, LRI UMR8623                         *)
(*                   Université Paris-Sud & CNRS                       *)
(*                                                                     *)
(*  Copyright 2010-2013 Université Paris-Sud and Centre National de la *)
(*  Recherche Scientifique. All rights reserved.  This file is         *)
(*  distributed under the terms of the GNU Lesser General Public       *)
(*  License, with the special exception on linking described in file   *)
(*  ../LICENSE.                                                        *)
(*                                                                     *)
(***********************************************************************)

(*
  Time-stamp: <Last modified on 2013-03-13 18:17:13 CET by Kim Nguyen>
*)

let realloc l old_size new_size dummy =
  let l' = Array.create new_size dummy in
  for i = 0 to (min old_size new_size) - 1 do
    l'.(i) <- l.(i);
  done;
  l'

module N1 =
struct
  type 'a t = { mutable line : 'a array;
		dummy : 'a;
		mutable offset : int;
	      }
  let create _ a = {
    line = Array.create 0 a;
    dummy = a;
    offset = ~-1;

  }

  let print fmt a =
    Format.fprintf fmt "{ offset=%i;\n dummy=_;line=%a \n}\n%!"
      a.offset
      (Pretty.print_array ~sep:", " (fun fmt x ->
	if x==a.dummy then
	  Format.fprintf fmt "%s" "D"
	else
	  Format.fprintf fmt "%s" "E")) a.line

  let add a i v =
    if a.offset == ~-1 then a.offset <- i;
    let offset = a.offset in
    let len = Array.length a.line in
    if i >= offset && i < offset + len then
      a.line.(i - offset) <- v
    else
      if i < offset then begin (* bottom resize *)
	let pad = offset - i in
	let nlen = len + pad in
	let narray = Array.create nlen a.dummy in
	for j = 0 to len - 1 do
	  narray.(j+pad) <- a.line.(j)
	done;
	a.offset <- i;
	a.line <- narray;
	narray.(0) <- v;
      end else begin (* top resize *)
	(* preventively allocate the space for the following elements *)
	let nlen = ((i - offset + 1) lsl 1) + 1 in
	let narray = Array.create nlen a.dummy in
	for j = 0 to len - 1 do
	  narray.(j) <- a.line.(j);
	done;
	narray.(i - offset) <- v;
	a.line <- narray
      end

  let find a i =
    let offset = a.offset in
    let len = Array.length a.line in
    if i >= offset && i < offset + len then a.line.(i - offset)
    else a.dummy

  let dummy a = a.dummy

  let iteri f a =
    let line = a.line in
    if a.offset == ~-1 then () else
      for i = 0 to Array.length line - 1 do
	let v = line.(i) in
	  f (i+a.offset) v (v==a.dummy)
      done


end



module N2 =
struct
  type 'a t = 'a N1.t N1.t
  let create n a =
    let dummy1 = N1.create 512 a in
    { N1.line = Array.create n dummy1;
      N1.offset = ~-1;
      N1.dummy = dummy1;
    }


  let add a i j v =
    let line = N1.find a i in
    if line == a.N1.dummy then
      let nline = N1.create 0 line.N1.dummy in
      N1.add a i nline;
      N1.add nline j v
    else
      N1.add line j v


  let find a i j =
    let v = N1.find a i in
    if v == a.N1.dummy then a.N1.dummy.N1.dummy
    else N1.find v j


  let dummy c = c.N1.dummy.N1.dummy

  let iteri f a =
    let line = a.N1.line in
    if a.N1.offset == ~-1 then () else
      for i = 0 to Array.length line - 1 do
	N1.iteri (f i) line.(i)
      done


end

module N3 =
struct
  type 'a t = 'a N2.t N1.t

  let create n a =
  let dummy1 = N2.create 512 a in
    { N1.line = Array.create n dummy1;
      N1.offset = ~-1;
      N1.dummy = dummy1;
    }

  let add a i j k v =
    let line = N1.find a i in
    if line == a.N1.dummy then
      let nline =  N1.create 0 line.N1.dummy in
      N1.add a i nline;
      N2.add nline j k v
    else
      N2.add line j k v

  let find a i j k =
    let v = N1.find a i in
    if v == a.N1.dummy then N2.dummy a.N1.dummy
    else N2.find v j k


  let dummy a = N2.dummy a.N1.dummy
  let iteri f a =
    let line = a.N1.line in
    if a.N1.offset == ~-1 then () else
      for i = 0 to Array.length line - 1 do
	N2.iteri (f i) line.(i)
      done

end

module N4 =
struct
  type 'a t = 'a N3.t N1.t

  let create n a =
  let dummy1 = N3.create 512 a in
    { N1.line = Array.create n dummy1;
      N1.offset = ~-1;
      N1.dummy = dummy1;
    }

  let add a i j k l v =
    let line = N1.find a i in
    if line == a.N1.dummy then
      let nline =  N1.create 0 line.N1.dummy in
      N1.add a i nline;
      N3.add nline j k l v
    else
      N3.add line j k l v

  let find a i j k l =
    let v = N1.find a i in
    if v == a.N1.dummy then N3.dummy a.N1.dummy
    else N3.find v j k l


  let dummy a = N3.dummy a.N1.dummy
  let iteri f a =
    let line = a.N1.line in
    if a.N1.offset == ~-1 then () else
      for i = 0 to Array.length line - 1 do
	N3.iteri (f i) line.(i)
      done

end

module N5 =
struct
  type 'a t = 'a N4.t N1.t

  let create n a =
  let dummy1 = N4.create 512 a in
    { N1.line = Array.create n dummy1;
      N1.offset = ~-1;
      N1.dummy = dummy1;
    }

  let add a i j k l m v =
    let line = N1.find a i in
    if line == a.N1.dummy then
      let nline =  N1.create 0 line.N1.dummy in
      N1.add a i nline;
      N4.add nline j k l m v
    else
      N4.add line j k l m v

  let find a i j k l m =
    let v = N1.find a i in
    if v == a.N1.dummy then N4.dummy a.N1.dummy
    else N4.find v j k l m


  let dummy a = N4.dummy a.N1.dummy
  let iteri f a =
    let line = a.N1.line in
    if a.N1.offset == ~-1 then () else
      for i = 0 to Array.length line - 1 do
	N4.iteri (f i) line.(i)
      done

end

module N6 =
struct
  type 'a t = 'a N3.t N3.t

  let create _n a =
         let dummy1 = N3.create 512 a in
         N3.create 512 dummy1

  let add a i j k l m n v =
    let line = N3.find a i j k in
    if line == N3.dummy a then
      let nline =  N3.create 0 (N3.dummy line) in
      N3.add a i j k nline;
      N3.add nline l m n v
    else
      N3.add line l m n v

  let find a i j k l m n =
    let v = N3.find a i j k in
    if v == N3.dummy a then N3.dummy (N3.dummy a)
    else N3.find v l m n


  let dummy a = N3.dummy (N3.dummy a)
  let iteri _f _a = assert false
end