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(***********************************************************************)
(*                                                                     *)
(*                         Applied Type System                         *)
(*                                                                     *)
(***********************************************************************)

(*
** ATS/Postiats - Unleashing the Potential of Types!
** Copyright (C) 2011-2013 Hongwei Xi, ATS Trustful Software, Inc.
** All rights reserved
**
** ATS is free software;  you can  redistribute it and/or modify it under
** the terms of  the GNU GENERAL PUBLIC LICENSE (GPL) as published by the
** Free Software Foundation; either version 3, or (at  your  option)  any
** later version.
** 
** ATS is distributed in the hope that it will be useful, but WITHOUT ANY
** WARRANTY; without  even  the  implied  warranty  of MERCHANTABILITY or
** FITNESS FOR A PARTICULAR PURPOSE.  See the  GNU General Public License
** for more details.
** 
** You  should  have  received  a  copy of the GNU General Public License
** along  with  ATS;  see the  file COPYING.  If not, please write to the
** Free Software Foundation,  51 Franklin Street, Fifth Floor, Boston, MA
** 02110-1301, USA.
*)

(* ****** ****** *)
//
// HX: shared by fundeque_fngtree
//
(* ****** ****** *)
//
// HX: indexed by deque size
//
abstype
deque_type (elt:t@ype+, n:int) = ptr
//
(* ****** ****** *)
//
stadef deque = deque_type
typedef deque (a:t0p) = [n:int] deque (a, n)
typedef Deque (a:t0p) = [n:int] deque (a, n)
//
(* ****** ****** *)

prfun lemma_deque_size
  {a:t0p}{n:int} (xs: deque (INV(a), n)): int (n)
// end of [lemma_deque_size]

prfun lemma_deque_param
  {a:t0p}{n:int} (xs: deque (INV(a), n)): [n >= 0] void
// end of [lemma_deque_param]

(* ****** ****** *)

fun{}
fundeque_nil{a:t0p} ():<> deque (a, 0)

(* ****** ****** *)

fun{a:t0p}
fundeque_cons{n:int}
  (x: a, xs: deque (INV(a), n)):<> deque (a, n+1)
// end of [fundeque_cons]

fun{a:t0p}
fundeque_uncons{n:pos}
  (xs: &deque (INV(a), n) >> deque (a, n-1)):<!wrt> (a)
// end of [fundeque_uncons]

(* ****** ****** *)

fun{a:t0p}
fundeque_snoc{n:int}
  (xs: deque (INV(a), n), x: a):<> deque (a, n+1)
// end of [fundeque_snoc]

fun{a:t0p}
fundeque_unsnoc{n:pos}
  (xs: &deque (INV(a), n) >> deque (a, n-1)):<!wrt> (a)
// end of [fundeque_unsnoc]

(* ****** ****** *)

fun{
} fundeque_is_nil
  {a:t0p}{n:int} (xs: deque (INV(a), n)):<> bool (n==0)
// end of [fundeque_is_nil]

fun{
} fundeque_is_cons
  {a:t0p}{n:int} (xs: deque (INV(a), n)):<> bool (n > 0)
// end of [fundeque_is_cons]

(* ****** ****** *)

fun fundeque_size
  {a:t0p}{n:int} (xs: deque (INV(a), n)):<> size_t (n)
// end of [fundeque_size]

(* ****** ****** *)

fun{a:t0p}
fundeque_get_atbeg {n:pos} (xs: deque (INV(a), n)):<> (a)
fun{a:t0p}
fundeque_get_atbeg_opt (xs: Deque (INV(a))):<> Option_vt(a)

(* ****** ****** *)

fun{a:t0p}
fundeque_get_atend {n:pos} (xs: deque (INV(a), n)):<> (a)
fun{a:t0p}
fundeque_get_atend_opt (xs: Deque (INV(a))):<> Option_vt(a)

(* ****** ****** *)

fun{a:t0p}
fundeque_takeout_atbeg_opt
  (xs: &Deque (INV(a)) >> _):<!wrt> Option_vt (a)
// end of [fundeque_takeout_atbeg_opt]

fun{a:t0p}
fundeque_takeout_atend_opt
  (xs: &Deque (INV(a)) >> _):<!wrt> Option_vt (a)
// end of [fundeque_takeout_atend_opt]

(* ****** ****** *)

fun fundeque_append
  {a:t0p}{n1,n2:int}
(
  xs1: deque (INV(a), n1), xs2: deque (a, n2)
) :<> deque (a, n1+n2) // endfun

(* ****** ****** *)

fun{}
fprint_fundeque$sep (out: FILEref): void
fun{a:t0p}
fprint_fundeque
  (out: FILEref, xs: Deque (INV(a))): void
overload fprint with fprint_fundeque

(* ****** ****** *)
//
fun{
a:t0p}{env:vt0p
} fundeque_foreach$fwork (x: a, env: &env>>_): void
//
fun{a:t0p}
fundeque_foreach (xs: Deque (INV(a))): void
fun{
a:t0p}{env:vt0p
} fundeque_foreach_env (xs: Deque (INV(a)), env: &(env)>>_): void
//
(* ****** ****** *)
//
fun{
a:t0p}{env:vt0p
} fundeque_rforeach$fwork (x: a, env: &env>>_): void
//
fun{a:t0p}
fundeque_rforeach (xs: Deque (INV(a))): void
fun{
a:t0p}{env:vt0p
} fundeque_rforeach_env (xs: Deque (INV(a)), env: &(env)>>_): void
//
(* ****** ****** *)

fun{a:t0p}
fundeque_listize
  {n:int} (xs: deque (INV(a), n)):<!wrt> list_vt (a, n)
// end of [fundeque_listize]

(* ****** ****** *)

(* end of [fundeque.hats] *)