| `Stay ]
module Move =
- struct
- type t = move
- type 'a table = 'a array
- let idx = function
- | `First_child -> 0
- | `Next_sibling -> 1
- | `Parent -> 2
- | `Previous_sibling -> 3
- | `Stay -> 4
- let ridx = function
- | 0 -> `First_child
- | 1 -> `Next_sibling
- | 2 -> `Parent
- | 3 -> `Previous_sibling
- | 4 -> `Stay
- | _ -> assert false
-
- let create_table a = Array.make 5 a
- let get m k = m.(idx k)
- let set m k v = m.(idx k) <- v
- let iter f m = Array.iteri (fun i v -> f (ridx i) v) m
- let fold f m acc =
- let acc = ref acc in
- iter (fun i v -> acc := f i v !acc) m;
- !acc
- let for_all p m =
- try
- iter (fun i v -> if not (p i v) then raise Exit) m;
- true
- with
- Exit -> false
- let for_all2 p m1 m2 =
- try
- for i = 0 to 4 do
- let v1 = m1.(i)
- and v2 = m2.(i) in
- if not (p (ridx i) v1 v2) then raise Exit
- done;
- true
- with
- Exit -> false
-
- let exists p m =
- try
- iter (fun i v -> if p i v then raise Exit) m;
- false
- with
- Exit -> true
- let print ppf m =
- match m with
- `First_child -> fprintf ppf "%s" Pretty.down_arrow
- | `Next_sibling -> fprintf ppf "%s" Pretty.right_arrow
- | `Parent -> fprintf ppf "%s" Pretty.up_arrow
- | `Previous_sibling -> fprintf ppf "%s" Pretty.left_arrow
- | `Stay -> fprintf ppf "%s" Pretty.bullet
-
- let print_table pr_e ppf m =
- iter (fun i v -> fprintf ppf "%a: %a" print i pr_e v;
- if (idx i) < 4 then fprintf ppf ", ") m
- end
+struct
+ type t = move
+ type 'a table = 'a array
+ let idx = function
+ | `First_child -> 0
+ | `Next_sibling -> 1
+ | `Parent -> 2
+ | `Previous_sibling -> 3
+ | `Stay -> 4
+ let ridx = function
+ | 0 -> `First_child
+ | 1 -> `Next_sibling
+ | 2 -> `Parent
+ | 3 -> `Previous_sibling
+ | 4 -> `Stay
+ | _ -> assert false
+
+ let create_table a = Array.make 5 a
+ let get m k = m.(idx k)
+ let set m k v = m.(idx k) <- v
+ let iter f m = Array.iteri (fun i v -> f (ridx i) v) m
+ let fold f m acc =
+ let acc = ref acc in
+ iter (fun i v -> acc := f i v !acc) m;
+ !acc
+ let for_all p m =
+ try
+ iter (fun i v -> if not (p i v) then raise Exit) m;
+ true
+ with
+ Exit -> false
+ let for_all2 p m1 m2 =
+ try
+ for i = 0 to 4 do
+ let v1 = m1.(i)
+ and v2 = m2.(i) in
+ if not (p (ridx i) v1 v2) then raise Exit
+ done;
+ true
+ with
+ Exit -> false
+
+ let exists p m =
+ try
+ iter (fun i v -> if p i v then raise Exit) m;
+ false
+ with
+ Exit -> true
+ let print ppf m =
+ match m with
+ `First_child -> fprintf ppf "%s" Pretty.down_arrow
+ | `Next_sibling -> fprintf ppf "%s" Pretty.right_arrow
+ | `Parent -> fprintf ppf "%s" Pretty.up_arrow
+ | `Previous_sibling -> fprintf ppf "%s" Pretty.left_arrow
+ | `Stay -> fprintf ppf "%s" Pretty.bullet
+
+ let print_table pr_e ppf m =
+ iter (fun i v -> fprintf ppf "%a: %a" print i pr_e v;
+ if (idx i) < 4 then fprintf ppf ", ") m
+end
type predicate = Move of move * State.t
| Is_first_child
has_first_child
let next_sibling q =
- and_
- (mk_move `Next_sibling q)
- has_next_sibling
+ and_
+ (mk_move `Next_sibling q)
+ has_next_sibling
let parent q =
- and_
- (mk_move `Parent q)
- is_first_child
+ and_
+ (mk_move `Parent q)
+ is_first_child
let previous_sibling q =
- and_
- (mk_move `Previous_sibling q)
- is_next_sibling
+ and_
+ (mk_move `Previous_sibling q)
+ is_next_sibling
let stay q = mk_move `Stay q
end
module Transition =
- struct
- include Hcons.Make (struct
- type t = State.t * QNameSet.t * Formula.t
- let equal (a, b, c) (d, e, f) =
- a == d && b == e && c == f
- let hash (a, b, c) =
- HASHINT4 (PRIME1, a, ((QNameSet.uid b) :> int), ((Formula.uid c) :> int))
-end)
- let print ppf t =
- let q, l, f = t.node in
- fprintf ppf "%a, %a %s %a"
- State.print q
- QNameSet.print l
- Pretty.double_right_arrow
- Formula.print f
- end
+struct
+ include Hcons.Make (struct
+ type t = State.t * QNameSet.t * Formula.t
+ let equal (a, b, c) (d, e, f) =
+ a == d && b == e && c == f
+ let hash (a, b, c) =
+ HASHINT4 (PRIME1, a, ((QNameSet.uid b) :> int), ((Formula.uid c) :> int))
+ end)
+ let print ppf t =
+ let q, l, f = t.node in
+ fprintf ppf "%a, %a %s %a"
+ State.print q
+ QNameSet.print l
+ Pretty.double_right_arrow
+ Formula.print f
+end
module TransList : sig
include Hlist.S with type elt = Transition.t
val print : Format.formatter -> ?sep:string -> t -> unit
end =
- struct
- include Hlist.Make(Transition)
- let print ppf ?(sep="\n") l =
- iter (fun t ->
- let q, lab, f = Transition.node t in
- fprintf ppf "%a, %a → %a%s"
- State.print q
- QNameSet.print lab
- Formula.print f sep) l
- end
+struct
+ include Hlist.Make(Transition)
+ let print ppf ?(sep="\n") l =
+ iter (fun t ->
+ let q, lab, f = Transition.node t in
+ fprintf ppf "%a, %a → %a%s"
+ State.print q
+ QNameSet.print lab
+ Formula.print f sep) l
+end
+type rank = { td : StateSet.t;
+ bu : StateSet.t;
+ exit : StateSet.t }
type t = {
mutable starting_states : StateSet.t;
mutable selecting_states: StateSet.t;
transitions: (State.t, (QNameSet.t*Formula.t) list) Hashtbl.t;
- mutable ranked_states : StateSet.t array
+ mutable ranked_states : rank array
}
let uid t = t.id
StateSet.print a.starting_states
StateSet.print a.selecting_states
(let r = ref 0 in Pretty.print_array ~sep:", " (fun ppf s ->
- fprintf ppf "%i:%a" !r StateSet.print s; incr r)) a.ranked_states;
+ fprintf ppf "(%i:{td=%a,bu=%a,exit=%a)" !r
+ StateSet.print s.td StateSet.print s.bu StateSet.print s.exit;
+ incr r)) a.ranked_states;
let trs =
Hashtbl.fold
(fun q t acc -> List.fold_left (fun acc (s , f) -> (q,s,f)::acc) acc t)
| Boolean.Atom(a, b') -> begin
match a.Atom.node with
| Move (m, q) ->
- 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;
- Formula.mk_atom (Move(m, 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 enclosing formula
- *)
- let not_q =
- try
- (* does the inverted state of q exist ? *)
- Hashtbl.find memo_state (q, false)
- with
- 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;
- Hashtbl.add memo_state (q, false) nq;
- Queue.add (q, false) todo; nq
- in
- Formula.mk_atom (Move (m,not_q))
- end
+ 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;
+ Formula.mk_atom (Move(m, 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 enclosing formula
+ *)
+ let not_q =
+ try
+ (* does the inverted state of q exist ? *)
+ Hashtbl.find memo_state (q, false)
+ with
+ 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;
+ Hashtbl.add memo_state (q, false) nq;
+ Queue.add (q, false) todo; nq
+ in
+ Formula.mk_atom (Move (m,not_q))
+ end
| _ -> if b then f else Formula.not_ f
end
in
edges
+let state_prerequisites dir auto q =
+ let trans = Hashtbl.find auto.transitions q in
+ List.fold_left (fun acc (_, phi) ->
+ let m_phi = Formula.get_states_by_move phi in
+ let prereq = Move.get m_phi dir in
+ StateSet.union prereq acc)
+ StateSet.empty trans
+
let compute_rank auto =
let dependencies = compute_dependencies auto in
let upward = [ `Stay ; `Parent ; `Previous_sibling ] in
let downward = [ `Stay; `First_child; `Next_sibling ] in
let swap dir = if dir == upward then downward else upward in
- let is_satisfied q t =
- Move.for_all (fun _ set -> StateSet.(is_empty (remove q set))) t
+ let is_satisfied dir q t =
+ Move.for_all (fun d set ->
+ if List.mem d dir then
+ StateSet.(is_empty (remove q set))
+ else StateSet.is_empty set) t
in
let update_dependencies dir initacc =
let rec loop acc =
Move.set deps m (StateSet.diff (Move.get deps m) to_remove)
)
dir;
- if is_satisfied q deps then StateSet.add q acc else acc
+ if is_satisfied dir q deps then StateSet.add q acc else acc
) dependencies acc
in
if acc == new_acc then new_acc else loop new_acc
List.iter (fun (r,s) ->
let set = try Hashtbl.find by_rank r with Not_found -> StateSet.empty in
Hashtbl.replace by_rank r (StateSet.union s set)) !rank_list;
- auto.ranked_states <-
- Array.init (Hashtbl.length by_rank) (fun i -> Hashtbl.find by_rank i)
-
+ let rank = Hashtbl.length by_rank in
+ if rank mod 2 == 1 then Hashtbl.replace by_rank rank StateSet.empty;
+ let rank = Hashtbl.length by_rank in
+ assert (rank mod 2 == 0);
+ let rank_array =
+ Array.init (rank / 2)
+ (fun i ->
+ let td_set = Hashtbl.find by_rank (2 * i) in
+ let bu_set = Hashtbl.find by_rank (2 * i + 1) in
+ { td = td_set; bu = bu_set ; exit = StateSet.empty }
+ )
+ in
+ let max_rank = Array.length rank_array - 1 in
+ for i = 0 to max_rank do
+ let this_rank = rank_array.(i) in
+ let exit = if i == max_rank then auto.selecting_states else
+ let next = rank_array.(i+1) in
+ let res =
+ StateSet.fold (fun q acc ->
+ List.fold_left (fun acc m ->
+ StateSet.union acc (state_prerequisites m auto q ))
+ acc [`First_child; `Next_sibling; `Parent; `Previous_sibling; `Stay]
+ ) (StateSet.union next.td next.bu) StateSet.empty
+ in
+
+ StateSet.(
+ union auto.selecting_states ( inter res (union this_rank.td this_rank.bu)))
-module Builder =
- struct
- type auto = t
- type t = auto
- let next = Uid.make_maker ()
-
- let make () =
- let auto =
- {
- id = next ();
- states = StateSet.empty;
- starting_states = StateSet.empty;
- selecting_states = StateSet.empty;
- transitions = Hashtbl.create MED_H_SIZE;
- ranked_states = [| |]
- }
- in
- auto
+ in
+ rank_array.(i) <- {this_rank with exit = exit };
+ done;
+ auto.ranked_states <- rank_array
- let add_state a ?(starting=false) ?(selecting=false) q =
- a.states <- StateSet.add q a.states;
- if starting then a.starting_states <- StateSet.add q a.starting_states;
- if selecting then a.selecting_states <- StateSet.add q a.selecting_states
- let add_trans a q s f =
- if not (StateSet.mem q a.states) then add_state a q;
- let trs = try Hashtbl.find a.transitions q with Not_found -> [] in
- let cup, ntrs =
- List.fold_left (fun (acup, atrs) (labs, phi) ->
- let lab1 = QNameSet.inter labs s in
- let lab2 = QNameSet.diff labs s in
- let tr1 =
- if QNameSet.is_empty lab1 then []
- else [ (lab1, Formula.or_ phi f) ]
- in
- let tr2 =
- if QNameSet.is_empty lab2 then []
- else [ (lab2, Formula.or_ phi f) ]
- in
- (QNameSet.union acup labs, tr1@ tr2 @ atrs)
- ) (QNameSet.empty, []) trs
- in
- let rem = QNameSet.diff s cup in
- let ntrs = if QNameSet.is_empty rem then ntrs
- else (rem, f) :: ntrs
- in
- Hashtbl.replace a.transitions q ntrs
+module Builder =
+struct
+ type auto = t
+ type t = auto
+ let next = Uid.make_maker ()
+
+ let make () =
+ let auto =
+ {
+ id = next ();
+ states = StateSet.empty;
+ starting_states = StateSet.empty;
+ selecting_states = StateSet.empty;
+ transitions = Hashtbl.create MED_H_SIZE;
+ ranked_states = [| |]
+ }
+ in
+ auto
+
+ let add_state a ?(starting=false) ?(selecting=false) q =
+ a.states <- StateSet.add q a.states;
+ if starting then a.starting_states <- StateSet.add q a.starting_states;
+ if selecting then a.selecting_states <- StateSet.add q a.selecting_states
+
+ let add_trans a q s f =
+ if not (StateSet.mem q a.states) then add_state a q;
+ let trs = try Hashtbl.find a.transitions q with Not_found -> [] in
+ let cup, ntrs =
+ List.fold_left (fun (acup, atrs) (labs, phi) ->
+ let lab1 = QNameSet.inter labs s in
+ let lab2 = QNameSet.diff labs s in
+ let tr1 =
+ if QNameSet.is_empty lab1 then []
+ else [ (lab1, Formula.or_ phi f) ]
+ in
+ let tr2 =
+ if QNameSet.is_empty lab2 then []
+ else [ (lab2, Formula.or_ phi f) ]
+ in
+ (QNameSet.union acup labs, tr1@ tr2 @ atrs)
+ ) (QNameSet.empty, []) trs
+ in
+ let rem = QNameSet.diff s cup in
+ let ntrs = if QNameSet.is_empty rem then ntrs
+ else (rem, f) :: ntrs
+ in
+ Hashtbl.replace a.transitions q ntrs
- let finalize a =
- complete_transitions a;
- normalize_negations a;
- compute_rank a;
- a
- end
+ let finalize a =
+ complete_transitions a;
+ normalize_negations a;
+ compute_rank a;
+ a
+end
let map_set f s =
| Boolean.Or(phi1, phi2) -> Formula.or_ (map_form f phi1) (map_form f phi2)
| Boolean.And(phi1, phi2) -> Formula.and_ (map_form f phi1) (map_form f phi2)
| Boolean.Atom({ Atom.node = Move(m,q); _}, b) ->
- let a = Formula.mk_atom (Move (m,f q)) in
- if b then a else Formula.not_ a
+ let a = Formula.mk_atom (Move (m,f q)) in
+ if b then a else Formula.not_ a
| _ -> phi
let rename_states mapper a =
(fun l ->
(List.map (fun (labels, form) -> (labels, map_form rename form)) l))
a.transitions;
- ranked_states = Array.map (map_set rename) a.ranked_states
+ ranked_states = Array.map (fun s ->
+ { td = map_set rename s.td;
+ bu = map_set rename s.bu;
+ exit = map_set rename s.exit;
+ }) a.ranked_states
}
let copy a =