(***********************************************************************)
(*
- Time-stamp: <Last modified on 2013-02-08 18:43:08 CET by Kim Nguyen>
+ Time-stamp: <Last modified on 2013-03-13 18:31:19 CET by Kim Nguyen>
*)
INCLUDE "utils.ml"
open Format
open Utils
-type move = [ `Left | `Right | `Up1 | `Up2 | `Epsilon ]
-type state_ctx = { mutable left : StateSet.t;
- mutable right : StateSet.t;
- mutable up1 : StateSet.t;
- mutable up2 : StateSet.t;
- mutable epsilon : StateSet.t}
+type predicate = | First_child
+ | Next_sibling
+ | Parent
+ | Previous_sibling
+ | Stay
+ | Is_first_child
+ | Is_next_sibling
+ | Is of (Tree.Common.NodeKind.t)
+ | Has_first_child
+ | Has_next_sibling
-type pred_ = move * bool * State.t
+let is_move p = match p with
+| First_child | Next_sibling
+| Parent | Previous_sibling | Stay -> true
+| _ -> false
-module Move : (Formula.PREDICATE with type data = pred_ and type ctx = state_ctx ) =
+
+type atom = predicate * bool * State.t
+
+module Atom : (Formula.ATOM with type data = atom) =
struct
module Node =
struct
- type t = move * bool * State.t
+ type t = atom
let equal n1 n2 = n1 = n2
let hash n = Hashtbl.hash n
end
- type ctx = state_ctx
+ include Hcons.Make(Node)
- let make_ctx a b c d e =
- { left = a; right = b; up1 = c; up2 = d; epsilon = e }
+ let print ppf a =
+ let p, b, q = a.node in
+ if not b then fprintf ppf "%s" Pretty.lnot;
+ match p with
+ | First_child -> fprintf ppf "FC(%a)" State.print q
+ | Next_sibling -> fprintf ppf "NS(%a)" State.print q
+ | Parent -> fprintf ppf "FC%s(%a)" Pretty.inverse State.print q
+ | Previous_sibling -> fprintf ppf "NS%s(%a)" Pretty.inverse State.print q
+ | Stay -> fprintf ppf "%s(%a)" Pretty.epsilon State.print q
+ | Is_first_child -> fprintf ppf "FC%s?" Pretty.inverse
+ | Is_next_sibling -> fprintf ppf "NS%s?" Pretty.inverse
+ | Is k -> fprintf ppf "is-%a?" Tree.Common.NodeKind.print k
+ | Has_first_child -> fprintf ppf "FC?"
+ | Has_next_sibling -> fprintf ppf "NS?"
- include Hcons.Make(Node)
+ let neg a =
+ let p, b, q = a.node in
+ make (p, not b, q)
+
+
+end
+
+module SFormula =
+struct
+ include Formula.Make(Atom)
+ open Tree.Common.NodeKind
+ let mk_atom a b c = atom_ (Atom.make (a,b,c))
+ let mk_kind k = mk_atom (Is k) true State.dummy
+ let has_first_child =
+ (mk_atom Has_first_child true State.dummy)
+
+ let has_next_sibling =
+ (mk_atom Has_next_sibling true State.dummy)
+
+ let is_first_child =
+ (mk_atom Is_first_child true State.dummy)
+
+ let is_next_sibling =
+ (mk_atom Is_next_sibling true State.dummy)
+
+ let is_attribute =
+ (mk_atom (Is Attribute) true State.dummy)
+
+ let is_element =
+ (mk_atom (Is Element) true State.dummy)
+
+ let is_processing_instruction =
+ (mk_atom (Is ProcessingInstruction) true State.dummy)
+
+ let is_comment =
+ (mk_atom (Is Comment) true State.dummy)
+
+ let first_child q =
+ and_
+ (mk_atom First_child true q)
+ has_first_child
+
+ let next_sibling q =
+ and_
+ (mk_atom Next_sibling true q)
+ has_next_sibling
+
+ let parent q =
+ and_
+ (mk_atom Parent true q)
+ is_first_child
+
+ let previous_sibling q =
+ and_
+ (mk_atom Previous_sibling true q)
+ is_next_sibling
+
+ let stay q =
+ (mk_atom Stay true q)
+
+ let get_states phi =
+ fold (fun phi acc ->
+ match expr phi with
+ | Formula.Atom a -> let _, _, q = Atom.node a in
+ if q != State.dummy then StateSet.add q acc else acc
+ | _ -> acc
+ ) phi StateSet.empty
- let print ppf a =
- let _ = flush_str_formatter() in
- let fmt = str_formatter in
-
- let m, b, s = a.node in
- let dir,num =
- match m with
- | `Left -> Pretty.down_arrow, Pretty.subscript 1
- | `Right -> Pretty.down_arrow, Pretty.subscript 2
- | `Epsilon -> Pretty.epsilon, ""
- | `Up1 -> Pretty.up_arrow, Pretty.subscript 1
- | `Up2 -> Pretty.up_arrow, Pretty.subscript 2
- in
- fprintf fmt "%s%s" dir num;
- State.print fmt s;
- let str = flush_str_formatter() in
- if b then fprintf ppf "%s" str
- else Pretty.pp_overline ppf 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
- end
end
-module SFormula = Formula.Make(Move)
-type 'a t = {
+type t = {
id : Uid.t;
mutable 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;
selection_states = StateSet.empty;
transitions = Hashtbl.create 17;
}
+module Transition = Hcons.Make (struct
+ type t = State.t * QNameSet.t * SFormula.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), ((SFormula.uid c) :> int))
+end)
+
+module TransList : Hlist.S with type elt = Transition.t = Hlist.Make(Transition)
+
+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 TransList.cons (Transition.make (q, labs, phi)) acc1 else acc1) acc0 trs
+ with Not_found -> acc0
+ ) states TransList.nil
+
(*
[add_trans a q labels f] adds a transition [(q,labels) -> f] to the
automaton [a] but ensures that transitions remains pairwise disjoint
in
Hashtbl.replace a.transitions q ntrs
+let _pr_buff = Buffer.create 50
+let _str_fmt = formatter_of_buffer _pr_buff
+let _flush_str_fmt () = pp_print_flush _str_fmt ();
+ let s = Buffer.contents _pr_buff in
+ Buffer.clear _pr_buff; s
let print fmt a =
fprintf fmt
- "Unique ID: %i@\n\
- States %a@\n\
- Top states: %a@\n\
- Bottom states: %a@\n\
+ "\nInternal UID: %i@\n\
+ 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
- let sfmt = str_formatter in
- let _ = flush_str_formatter () in
- let strs_strings, maxs = List.fold_left (fun (accl, accm) (q, s, f) ->
- let s1 = State.print sfmt q; flush_str_formatter () in
- let s2 = QNameSet.print sfmt s; flush_str_formatter () in
- let s3 = SFormula.print sfmt f; flush_str_formatter () in
- ( (s1, s2, s3) :: accl,
- max
- accm (2 + String.length s1 + String.length s2))
- ) ([], 0) sorted_trs
+ let _ = _flush_str_fmt () in
+ let strs_strings, max_pre, max_all = List.fold_left (fun (accl, accp, acca) (q, s, f) ->
+ let s1 = State.print _str_fmt q; _flush_str_fmt () in
+ let s2 = QNameSet.print _str_fmt s; _flush_str_fmt () in
+ let s3 = SFormula.print _str_fmt f; _flush_str_fmt () in
+ let pre = Pretty.length s1 + Pretty.length s2 in
+ let all = Pretty.length s3 in
+ ( (q, s1, s2, s3) :: accl, max accp pre, max acca all)
+ ) ([], 0, 0) sorted_trs
in
- List.iter (fun (s1, s2, s3) ->
- fprintf fmt "%s, %s" s1 s2;
- fprintf fmt "%s" (Pretty.padding (maxs - String.length s1 - String.length s2 - 2));
- fprintf fmt "%s %s@\n" Pretty.right_arrow s3) strs_strings
+ let line = Pretty.line (max_all + max_pre + 6) in
+ let prev_q = ref State.dummy in
+ List.iter (fun (q, s1, s2, s3) ->
+ if !prev_q != q && !prev_q != State.dummy then fprintf fmt " %s\n%!" line;
+ prev_q := q;
+ fprintf fmt " %s, %s" s1 s2;
+ fprintf fmt "%s" (Pretty.padding (max_pre - Pretty.length s1 - Pretty.length s2));
+ fprintf fmt " %s %s@\n%!" Pretty.right_arrow s3;
+ ) strs_strings;
+ fprintf fmt " %s\n%!" line
(*
[complete transitions a] ensures that for each state q
Hashtbl.replace a.transitions q nqtrans
) a.states
+let cleanup_states a =
+ let memo = ref StateSet.empty in
+ let rec loop q =
+ if not (StateSet.mem q !memo) then begin
+ memo := StateSet.add q !memo;
+ let trs = try Hashtbl.find a.transitions q with Not_found -> [] in
+ List.iter (fun (_, phi) ->
+ StateSet.iter loop (SFormula.get_states phi)) trs
+ end
+ in
+ StateSet.iter loop a.selection_states;
+ let unused = StateSet.diff a.states !memo in
+ eprintf "Unused states %a\n%!" StateSet.print unused;
+ StateSet.iter (fun q -> Hashtbl.remove a.transitions q) unused;
+ a.states <- !memo
+
(* [normalize_negations a] removes negative atoms in the formula
complementing the sub-automaton in the negative states.
[TODO check the meaning of negative upward arrows]
*)
-let normalize_negations a =
+
+let normalize_negations auto =
+ eprintf "Automaton before normalize_trans:\n";
+ print err_formatter auto;
+ eprintf "--------------------\n%!";
+
let memo_state = Hashtbl.create 17 in
let todo = Queue.create () in
let rec flip b f =
| Formula.Or(f1, f2) -> (if b then SFormula.or_ else SFormula.and_)(flip b f1) (flip b f2)
| 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
+ let l, b', q = Atom.node a in
+ 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_ (Atom.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;
Hashtbl.add memo_state (q, false) nq;
Queue.add (q, false) todo; nq
in
- SFormula.atom_ (Move.make (l, true, not_q))
+ SFormula.atom_ (Atom.make (l, true, not_q))
end
end
in
- StateSet.iter (fun q -> Queue.add (q, true) todo) a.top_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;
+ 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;
- Hashtbl.iter (fun (q, b) q' ->
- if not (b || StateSet.mem q a.bottom_states) then
- a.bottom_states <- StateSet.add q' a.bottom_states
- ) memo_state
+ cleanup_states auto
+