(***********************************************************************)
(*
- Time-stamp: <Last modified on 2013-03-04 18:18:37 CET by Kim Nguyen>
+ Time-stamp: <Last modified on 2013-03-05 18:25:03 CET by Kim Nguyen>
*)
INCLUDE "utils.ml"
open Format
open Utils
-type move = [ `Left | `Right | `Up1 | `Up2 | `Epsilon ]
+type move = [ `Left | `Right | `Up1 | `Up2 | `Epsilon |`Is1 |`Is2 ]
type state_ctx = { mutable left : StateSet.t;
mutable right : StateSet.t;
mutable up1 : StateSet.t;
mutable up2 : StateSet.t;
- mutable epsilon : StateSet.t}
+ mutable epsilon : StateSet.t;
+ mutable is_left : bool;
+ mutable is_root : bool}
type pred_ = move * bool * State.t
+let make_ctx a b c d e f g =
+ { left = a; right = b; up1 = c; up2 = d; epsilon = e; is_left = f; is_root = g }
+
+let print_ctx fmt c = fprintf fmt "{ left : %a; right : %a; up1: %a ; up2 : %a; epsilon : %a ; is_left : %b; is_root : %b }"
+ StateSet.print c.left StateSet.print c.right StateSet.print c.up1 StateSet.print c.up2
+ StateSet.print c.epsilon
+ c.is_left c.is_root
module Move : (Formula.PREDICATE with type data = pred_ and type ctx = state_ctx ) =
struct
type ctx = state_ctx
- let make_ctx a b c d e =
- { left = a; right = b; up1 = c; up2 = d; epsilon = e }
include Hcons.Make(Node)
let _pr_buff = Buffer.create 10
| `Epsilon -> Pretty.epsilon, ""
| `Up1 -> Pretty.up_arrow, Pretty.subscript 1
| `Up2 -> Pretty.up_arrow, Pretty.subscript 2
+ | `Is1 -> "?", Pretty.subscript 1
+ | `Is2 -> "?", Pretty.subscript 2
in
fprintf _str_fmt "%s%s" dir num;
- State.print _str_fmt s;
+ if s != State.dummy then State.print _str_fmt s;
let str = _flush_str_fmt () in
- if b then fprintf ppf "%s" str
- else Pretty.pp_overline ppf str
-
+ fprintf ppf "%s%s" (if b then "" else Pretty.lnot) str
let neg p =
let l, b, s = p.node in
make (l, not b, s)
+
exception NegativeAtom of (move*State.t)
+
let eval ctx p =
let l, b, s = p.node in
- if b then raise (NegativeAtom(l,s));
- StateSet.mem s begin
- match l with
- `Left -> ctx.left
- | `Right -> ctx.right
- | `Up1 -> ctx.up1
- | `Up2 -> ctx.up2
- | `Epsilon -> ctx.epsilon
+ if s == State.dummy then
+ let dir =
+ match l with
+ | `Is1 -> ctx.is_left
+ | _ -> not ctx.is_left
+ in
+ let res = dir && not ctx.is_root in
+ res && b || (not (b || res))
+ else begin
+ if not b then raise (NegativeAtom(l,s));
+ StateSet.mem s begin
+ match l with
+ `Left -> ctx.left
+ | `Right -> ctx.right
+ | `Up1 -> ctx.up1
+ | `Up2 -> ctx.up2
+ | `Epsilon -> ctx.epsilon
+ | _ -> StateSet.empty
+ end
end
end
type t = {
id : Uid.t;
mutable states : StateSet.t;
-(* mutable top_states : StateSet.t;
- mutable bottom_states: StateSet.t; *)
+ mutable top_states : StateSet.t;
+ mutable bottom_states: StateSet.t;
mutable selection_states: StateSet.t;
transitions: (State.t, (QNameSet.t*SFormula.t) list) Hashtbl.t;
}
let create () = { id = next ();
states = StateSet.empty;
-(* top_states = StateSet.empty;
- bottom_states = StateSet.empty; *)
+ top_states = StateSet.empty;
+ bottom_states = StateSet.empty;
selection_states = StateSet.empty;
transitions = Hashtbl.create 17;
}
+let get_trans a states tag =
+ StateSet.fold (fun q acc0 ->
+ try
+ let trs = Hashtbl.find a.transitions q in
+ List.fold_left (fun acc1 (labs, phi) ->
+ if QNameSet.mem tag labs then (q,phi)::acc1 else acc1) acc0 trs
+ with Not_found -> acc0
+ ) states []
+
(*
[add_trans a q labels f] adds a transition [(q,labels) -> f] to the
automaton [a] but ensures that transitions remains pairwise disjoint
fprintf fmt
"\nInternal UID: %i@\n\
States: %a@\n\
+ Top states: %a@\n\
+ Bottom states: %a@\n\
Selection states: %a@\n\
Alternating transitions:@\n"
(a.id :> int)
StateSet.print a.states
+ StateSet.print a.top_states
+ StateSet.print a.bottom_states
StateSet.print a.selection_states;
let trs =
Hashtbl.fold
a.transitions
[]
in
- let sorted_trs = List.stable_sort (fun (q1, s1, phi1) (q2, s2, phi2) ->
+ let sorted_trs = List.stable_sort (fun (q1, s1, _) (q2, s2, _) ->
let c = State.compare q1 q2 in - (if c == 0 then QNameSet.compare s1 s2 else c))
trs
in
complementing the sub-automaton in the negative states.
[TODO check the meaning of negative upward arrows]
*)
-let normalize_negations a =
+let normalize_negations auto =
let memo_state = Hashtbl.create 17 in
let todo = Queue.create () in
let rec flip b f =
| Formula.And(f1, f2) -> (if b then SFormula.and_ else SFormula.or_)(flip b f1) (flip b f2)
| Formula.Atom(a) -> begin
let l, b', q = Move.node a in
- if b == b' then begin
+ if q == State.dummy then if b then f else SFormula.not_ f
+ else
+ if b == b' then begin
(* a appears positively, either no negation or double negation *)
- if not (Hashtbl.mem memo_state (q,b)) then Queue.add (q,true) todo;
- SFormula.atom_ (Move.make (l, true, q))
- end else begin
+ if not (Hashtbl.mem memo_state (q,b)) then Queue.add (q,true) todo;
+ SFormula.atom_ (Move.make (l, true, q))
+ end else begin
(* need to reverse the atom
either we have a positive state deep below a negation
or we have a negative state in a positive formula
b' = sign of the state
- b = sign of the containing formula
+ b = sign of the enclosing formula
*)
let not_q =
try
Not_found ->
(* create a new state and add it to the todo queue *)
let nq = State.make () in
+ auto.states <- StateSet.add nq auto.states;
+(* if not (StateSet.mem q auto.bottom_states) then
+ auto.bottom_states <- StateSet.add nq auto.bottom_states;
+ if not (StateSet.mem q auto.top_states) then
+ auto.top_states <- StateSet.add nq auto.top_states; *)
Hashtbl.add memo_state (q, false) nq;
Queue.add (q, false) todo; nq
in
end
end
in
- StateSet.iter (fun q -> Queue.add (q, true) todo) a.selection_states;
+ (* states that are not reachable from a selection stat are not interesting *)
+ StateSet.iter (fun q -> Queue.add (q, true) todo) auto.selection_states;
+
while not (Queue.is_empty todo) do
let (q, b) as key = Queue.pop todo in
let q' =
Hashtbl.find memo_state key
with
Not_found ->
- let nq = if b then q else State.make () in
+ let nq = if b then q else
+ let nq = State.make () in
+ auto.states <- StateSet.add nq auto.states;
+(* if not (StateSet.mem q auto.bottom_states) then
+ auto.bottom_states <- StateSet.add nq auto.bottom_states;
+ if not (StateSet.mem q auto.top_states) then
+ auto.top_states <- StateSet.add nq auto.top_states; *)
+ nq
+ in
Hashtbl.add memo_state key nq; nq
in
- let trans = Hashtbl.find a.transitions q in
+ let trans = Hashtbl.find auto.transitions q in
let trans' = List.map (fun (lab, f) -> lab, flip b f) trans in
- Hashtbl.replace a.transitions q' trans'
+ Hashtbl.replace auto.transitions q' trans'
done