(* *)
(***********************************************************************)
-(*
- Time-stamp: <Last modified on 2013-02-06 14:24:24 CET by Kim Nguyen>
-*)
-
+INCLUDE "utils.ml"
open Format
-type move = [ `Left | `Right | `Up1 | `Up2 | `Epsilon ]
-type state_ctx = { left : StateSet.t;
- right : StateSet.t;
- up1 : StateSet.t;
- up2 : StateSet.t;
- epsilon : StateSet.t}
-type ctx_ = { mutable positive : state_ctx;
- mutable negative : state_ctx }
-type pred_ = move * bool * State.t
-
-module Move : (Formula.PREDICATE with type data = pred_ and type ctx = ctx_ ) =
+open Misc
+type move = [ `First_child
+ | `Next_sibling
+ | `Parent
+ | `Previous_sibling
+ | `Stay ]
+
+type predicate = Move of move * State.t
+ | Is_first_child
+ | Is_next_sibling
+ | Is of Tree.NodeKind.t
+ | Has_first_child
+ | Has_next_sibling
+
+module Atom =
struct
module Node =
struct
- type t = move * bool * State.t
+ type t = predicate
let equal n1 n2 = n1 = n2
let hash n = Hashtbl.hash n
end
- type ctx = ctx_
- let make_ctx a b c d e =
- { left = a; right = b; up1 = c; up2 = d; epsilon = e }
-
include Hcons.Make(Node)
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)
-
- let eval ctx p =
- let l, b, s = p.node in
- let nctx = if b then ctx.positive else ctx.negative in
- StateSet.mem s begin
- match l with
- `Left -> nctx.left
- | `Right -> nctx.right
- | `Up1 -> nctx.up1
- | `Up2 -> nctx.up2
- | `Epsilon -> nctx.epsilon
- end
+ match a.node with
+ | Move (m, q) -> begin
+ 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
+ end;
+ fprintf ppf "%a" State.print q
+ | Is_first_child -> fprintf ppf "%s?" Pretty.up_arrow
+ | Is_next_sibling -> fprintf ppf "%s?" Pretty.left_arrow
+ | Is k -> fprintf ppf "is-%a?" Tree.NodeKind.print k
+ | Has_first_child -> fprintf ppf "%s?" Pretty.down_arrow
+ | Has_next_sibling -> fprintf ppf "%s?" Pretty.right_arrow
+
end
-module SFormula = Formula.Make(Move)
+
+module Formula =
+struct
+ include Boolean.Make(Atom)
+ open Tree.NodeKind
+ let mk_atom a = atom_ (Atom.make a)
+ let is k = mk_atom (Is k)
+
+ let has_first_child = mk_atom Has_first_child
+
+ let has_next_sibling = mk_atom Has_next_sibling
+
+ let is_first_child = mk_atom Is_first_child
+
+ let is_next_sibling = mk_atom Is_next_sibling
+
+ let is_attribute = mk_atom (Is Attribute)
+
+ let is_element = mk_atom (Is Element)
+
+ let is_processing_instruction = mk_atom (Is ProcessingInstruction)
+
+ let is_comment = mk_atom (Is Comment)
+
+ let mk_move m q = mk_atom (Move(m,q))
+ let first_child q =
+ and_
+ (mk_move `First_child q)
+ has_first_child
+
+ let next_sibling q =
+ and_
+ (mk_move `Next_sibling q)
+ has_next_sibling
+
+ let parent q =
+ and_
+ (mk_move `Parent q)
+ is_first_child
+
+ let previous_sibling q =
+ and_
+ (mk_move `Previous_sibling q)
+ is_next_sibling
+
+ let stay q = mk_move `Stay q
+
+ let get_states phi =
+ fold (fun phi acc ->
+ match expr phi with
+ | Boolean.Atom ({ Atom.node = Move(_,q) ; _ }, _) -> StateSet.add q acc
+ | _ -> acc
+ ) phi StateSet.empty
+
+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
+
+
+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
+
+
+
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;
+ mutable starting_states : StateSet.t;
+ mutable selecting_states: StateSet.t;
+ transitions: (State.t, (QNameSet.t*Formula.t) list) Hashtbl.t;
}
+let uid t = t.id
+let get_states a = a.states
+let get_starting_states a = a.starting_states
+let get_selecting_states a = a.selecting_states
-let next = Uid.make_maker ()
-
-let create () = { id = next ();
- states = StateSet.empty;
- top_states = StateSet.empty;
- bottom_states = StateSet.empty;
- selection_states = StateSet.empty;
- transitions = Hashtbl.create 17;
- }
-
-let add_trans a q s f =
- let trs = try Hashtbl.find a.transitions q with Not_found -> [] in
- let rem, ntrs =
- List.fold_left (fun (rem, atrs) ((labs, phi) as tr) ->
- let nlabs = QNameSet.inter labs rem in
- if QNameSet.is_empty nlabs then
- (rem, tr :: atrs)
- else
- let nrem = QNameSet.diff rem labs in
- nrem, (nlabs, SFormula.or_ phi f)::atrs
- ) (s, []) trs
- in
- let ntrs = if QNameSet.is_empty rem then ntrs
- else (rem, f) :: ntrs
- 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 =
+ let _ = _flush_str_fmt() in
fprintf fmt
- "Unique ID: %i@\n\
- States %a@\n\
- Top states: %a@\n\
- Bottom states: %a@\n\
+ "Internal UID: %i@\n\
+ States: %a@\n\
+ Starting 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;
+ StateSet.print a.starting_states
+ StateSet.print a.selecting_states;
let trs =
Hashtbl.fold
(fun q t acc -> List.fold_left (fun acc (s , f) -> (q,s,f)::acc) acc t)
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 = Formula.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) ->
+ let line = Pretty.line (max_all + max_pre + 6) in
+ let prev_q = ref State.dummy in
+ fprintf fmt "%s@\n" line;
+ 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 (maxs - String.length s1 - String.length s2 - 2));
- fprintf fmt "%s %s@\n" Pretty.right_arrow s3) strs_strings
+ 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
+
+
+let get_trans a tag states =
+ 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
+
+
+let get_form a tag q =
+ try
+ let trs = Hashtbl.find a.transitions q in
+ List.fold_left (fun aphi (labs, phi) ->
+ if QNameSet.mem tag labs then Formula.or_ aphi phi else aphi
+ ) Formula.false_ trs
+ with
+ Not_found -> Formula.false_
+
+(*
+ [complete transitions a] ensures that for each state q
+ and each symbols s in the alphabet, a transition q, s exists.
+ (adding q, s -> F when necessary).
+*)
+
+let complete_transitions a =
+ StateSet.iter (fun q ->
+ if StateSet.mem q a.starting_states then ()
+ else
+ let qtrans = Hashtbl.find a.transitions q in
+ let rem =
+ List.fold_left (fun rem (labels, _) ->
+ QNameSet.diff rem labels) QNameSet.any qtrans
+ in
+ let nqtrans =
+ if QNameSet.is_empty rem then qtrans
+ else
+ (rem, Formula.false_) :: qtrans
+ in
+ Hashtbl.replace a.transitions q nqtrans
+ ) a.states
+
+(* [cleanup_states] remove states that do not lead to a
+ selecting 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 (Formula.get_states phi)) trs
+ end
+ in
+ StateSet.iter loop a.selecting_states;
+ let unused = StateSet.diff a.states !memo in
+ 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 auto =
+ let memo_state = Hashtbl.create 17 in
+ let todo = Queue.create () in
+ let rec flip b f =
+ match Formula.expr f with
+ Boolean.True | Boolean.False -> if b then f else Formula.not_ f
+ | Boolean.Or(f1, f2) -> (if b then Formula.or_ else Formula.and_)(flip b f1) (flip b f2)
+ | Boolean.And(f1, f2) -> (if b then Formula.and_ else Formula.or_)(flip b f1) (flip b f2)
+ | 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 then f else Formula.not_ f
+ end
+ in
+ (* states that are not reachable from a selection stat are not interesting *)
+ StateSet.iter (fun q -> Queue.add (q, true) todo) auto.selecting_states;
+
+ while not (Queue.is_empty todo) do
+ let (q, b) as key = Queue.pop todo in
+ let q' =
+ try
+ Hashtbl.find memo_state key
+ with
+ Not_found ->
+ 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 = try Hashtbl.find auto.transitions q with Not_found -> [] in
+ let trans' = List.map (fun (lab, f) -> lab, flip b f) trans in
+ Hashtbl.replace auto.transitions q' trans';
+ done;
+ cleanup_states auto
+
+
+
+
+
+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;
+ }
+ in
+ (*
+ at_exit (fun () ->
+ let n4 = ref 0 in
+ let n2 = ref 0 in
+ Cache.N2.iteri (fun _ _ _ b -> if b then incr n2) auto.cache2;
+ Cache.N4.iteri (fun _ _ _ _ _ b -> if b then incr n4) auto.cache4;
+ Logger.msg `STATS "automaton %i, cache2: %i entries, cache6: %i entries"
+ (auto.id :> int) !n2 !n4;
+ let c2l, c2u = Cache.N2.stats auto.cache2 in
+ let c4l, c4u = Cache.N4.stats auto.cache4 in
+ Logger.msg `STATS
+ "cache2: length: %i, used: %i, occupation: %f"
+ c2l c2u (float c2u /. float c2l);
+ Logger.msg `STATS
+ "cache4: length: %i, used: %i, occupation: %f"
+ c4l c4u (float c4u /. float c4l)
+
+ ); *)
+ 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;
+ a
+ end
+
+
+let map_set f s =
+ StateSet.fold (fun q a -> StateSet.add (f q) a) s StateSet.empty
+
+let map_hash fk fv h =
+ let h' = Hashtbl.create (Hashtbl.length h) in
+ let () = Hashtbl.iter (fun k v -> Hashtbl.add h' (fk k) (fv v)) h in
+ h'
+
+let rec map_form f phi =
+ match Formula.expr phi with
+ | 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
+ | _ -> phi
+
+let rename_states mapper a =
+ let rename q = try Hashtbl.find mapper q with Not_found -> q in
+ { Builder.make () with
+ states = map_set rename a.states;
+ starting_states = map_set rename a.starting_states;
+ selecting_states = map_set rename a.selecting_states;
+ transitions =
+ map_hash
+ rename
+ (fun l ->
+ (List.map (fun (labels, form) -> (labels, map_form rename form)) l))
+ a.transitions;
+ }
+
+let copy a =
+ let mapper = Hashtbl.create MED_H_SIZE in
+ let () =
+ StateSet.iter (fun q -> Hashtbl.add mapper q (State.make())) a.states
+ in
+ rename_states mapper a
+
+
+let concat a1 a2 =
+ let a1 = copy a1 in
+ let a2 = copy a2 in
+ let link_phi =
+ StateSet.fold
+ (fun q phi -> Formula.(or_ (stay q) phi))
+ a1.selecting_states Formula.false_
+ in
+ Hashtbl.iter (fun q trs -> Hashtbl.add a1.transitions q trs)
+ a2.transitions;
+ StateSet.iter
+ (fun q ->
+ Hashtbl.replace a1.transitions q [(QNameSet.any, link_phi)])
+ a2.starting_states;
+ { a1 with
+ states = StateSet.union a1.states a2.states;
+ selecting_states = a2.selecting_states;
+ transitions = a1.transitions;
+ }
+
+let merge a1 a2 =
+ let a1 = copy a1 in
+ let a2 = copy a2 in
+ { a1 with
+ states = StateSet.union a1.states a2.states;
+ selecting_states = StateSet.union a1.selecting_states a2.selecting_states;
+ starting_states = StateSet.union a1.starting_states a2.starting_states;
+ transitions =
+ let () =
+ Hashtbl.iter (fun k v -> Hashtbl.add a1.transitions k v) a2.transitions
+ in
+ a1.transitions
+ }