(* *)
(***********************************************************************)
-(*
- Time-stamp: <Last modified on 2013-04-22 17:22:38 CEST by Kim Nguyen>
-*)
-
INCLUDE "utils.ml"
open Format
+open Misc
+type move = [ `First_child
+ | `Next_sibling
+ | `Parent
+ | `Previous_sibling
+ | `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
-type predicate = | First_child
- | Next_sibling
- | Parent
- | Previous_sibling
- | Stay
+ 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
| Is_next_sibling
- | Is of (Tree.NodeKind.t)
+ | Is of Tree.NodeKind.t
| Has_first_child
| Has_next_sibling
-let is_move p = match p with
-| First_child | Next_sibling
-| Parent | Previous_sibling | Stay -> true
-| _ -> false
-
-
-type atom = predicate * bool * State.t
-
-module Atom : (Formula.ATOM with type data = atom) =
+module Atom =
struct
module Node =
struct
- type t = atom
+ type t = predicate
let equal n1 n2 = n1 = n2
let hash n = Hashtbl.hash n
end
include Hcons.Make(Node)
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
+ match a.node with
+ | Move (m, q) ->
+ fprintf ppf "%a%a" Move.print m 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 "FC?"
- | Has_next_sibling -> fprintf ppf "NS?"
-
- let neg a =
- let p, b, q = a.node in
- make (p, not b, q)
-
+ | Has_first_child -> fprintf ppf "%s?" Pretty.down_arrow
+ | Has_next_sibling -> fprintf ppf "%s?" Pretty.right_arrow
end
-module SFormula =
+
+module Formula =
struct
- include Formula.Make(Atom)
+ include Boolean.Make(Atom)
open Tree.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 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 true State.dummy)
+ let has_next_sibling = mk_atom Has_next_sibling
- let is_first_child =
- (mk_atom Is_first_child true State.dummy)
+ let is_first_child = mk_atom Is_first_child
- let is_next_sibling =
- (mk_atom Is_next_sibling true State.dummy)
+ let is_next_sibling = mk_atom Is_next_sibling
- let is_attribute =
- (mk_atom (Is Attribute) true State.dummy)
+ let is_attribute = mk_atom (Is Attribute)
- let is_element =
- (mk_atom (Is Element) true State.dummy)
+ let is_element = mk_atom (Is Element)
- let is_processing_instruction =
- (mk_atom (Is ProcessingInstruction) true State.dummy)
+ let is_processing_instruction = mk_atom (Is ProcessingInstruction)
- let is_comment =
- (mk_atom (Is Comment) true State.dummy)
+ let is_comment = mk_atom (Is Comment)
+ let mk_move m q = mk_atom (Move(m,q))
let first_child q =
- and_
- (mk_atom First_child true q)
- has_first_child
+ and_
+ (mk_move `First_child q)
+ has_first_child
let next_sibling q =
and_
- (mk_atom Next_sibling true q)
+ (mk_move `Next_sibling q)
has_next_sibling
let parent q =
and_
- (mk_atom Parent true q)
+ (mk_move `Parent q)
is_first_child
let previous_sibling q =
and_
- (mk_atom Previous_sibling true q)
+ (mk_move `Previous_sibling q)
is_next_sibling
- let stay q =
- (mk_atom Stay true q)
+ let stay q = mk_move `Stay q
- let get_states phi =
- fold (fun phi acc ->
+ let get_states_by_move phi =
+ let table = Move.create_table StateSet.empty in
+ iter (fun phi ->
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
+ | Boolean.Atom ({ Atom.node = Move(v,q) ; _ }, _) ->
+ let s = Move.get table v in
+ Move.set table v (StateSet.add q s)
+ | _ -> ()
+ ) phi;
+ table
+ let get_states phi =
+ let table = get_states_by_move phi in
+ Move.fold (fun _ s acc -> StateSet.union s acc) table StateSet.empty
end
-
-module Transition = Hcons.Make (struct
- type t = State.t * QNameSet.t * SFormula.t
+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), ((SFormula.uid c) :> int))
+ 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
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 SFormula.print f sep) l
+ fprintf ppf "%a, %a → %a%s"
+ State.print q
+ QNameSet.print lab
+ Formula.print f sep) l
end
-type node_summary = int
-let dummy_summary = -1
-(*
-4444444444443210
-4 -> kind
-3 -> is_left
-2 -> is_right
-1 -> has_left
-0 -> has_right
-*)
-
-let has_right (s : node_summary) : bool =
- Obj.magic (s land 1)
-let has_left (s : node_summary) : bool =
- Obj.magic ((s lsr 1) land 1)
-
-let is_right (s : node_summary) : bool =
- Obj.magic ((s lsr 2) land 1)
-
-let is_left (s : node_summary) : bool =
- Obj.magic ((s lsr 3) land 1)
-
-let kind (s : node_summary ) : Tree.NodeKind.t =
- Obj.magic (s lsr 4)
-
-let node_summary is_left is_right has_left has_right kind =
- ((Obj.magic kind) lsl 4) lor
- ((Obj.magic is_left) lsl 3) lor
- ((Obj.magic is_right) lsl 2) lor
- ((Obj.magic has_left) lsl 1) lor
- (Obj.magic has_right)
-
-
-
-type config = {
- sat : StateSet.t;
- unsat : StateSet.t;
- todo : TransList.t;
- summary : node_summary;
-}
-
-module Config = Hcons.Make(struct
- type t = config
- let equal c d =
- c == d ||
- c.sat == d.sat &&
- c.unsat == d.unsat &&
- c.todo == d.todo &&
- c.summary == d.summary
-
- let hash c =
- HASHINT4((c.sat.StateSet.id :> int),
- (c.unsat.StateSet.id :> int),
- (c.todo.TransList.id :> int),
- c.summary)
-end
-)
-
type t = {
id : Uid.t;
mutable states : StateSet.t;
- mutable selection_states: StateSet.t;
- transitions: (State.t, (QNameSet.t*SFormula.t) list) Hashtbl.t;
- mutable cache2 : TransList.t Cache.N2.t;
- mutable cache4 : Config.t Cache.N4.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
}
-let next = Uid.make_maker ()
-
-let dummy2 = TransList.cons
- (Transition.make (State.dummy,QNameSet.empty, SFormula.false_))
- TransList.nil
-
-
-
-let dummy_config = Config.make { sat = StateSet.empty;
- unsat = StateSet.empty;
- todo = TransList.nil;
- summary = dummy_summary
- }
-
-
-let create s ss =
- let auto = { id = next ();
- states = s;
- selection_states = ss;
- transitions = Hashtbl.create 17;
- cache2 = Cache.N2.create dummy2;
- cache4 = Cache.N4.create dummy_config;
- }
- 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;
- Format.eprintf "STATS: automaton %i, cache2: %i entries, cache6: %i entries\n%!"
- (auto.id :> int) !n2 !n4;
- let c2l, c2u = Cache.N2.stats auto.cache2 in
- let c4l, c4u = Cache.N4.stats auto.cache4 in
- Format.eprintf "STATS: cache2: length: %i, used: %i, occupation: %f\n%!" c2l c2u (float c2u /. float c2l);
- Format.eprintf "STATS: cache4: length: %i, used: %i, occupation: %f\n%!" c4l c4u (float c4u /. float c4l)
-
- );
- auto
-
-let reset a =
- a.cache2 <- Cache.N2.create (Cache.N2.dummy a.cache2);
- a.cache4 <- Cache.N4.create (Cache.N4.dummy a.cache4)
-
-
-let get_trans_aux 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_trans a tag states =
- let trs =
- Cache.N2.find a.cache2
- (tag.QName.id :> int) (states.StateSet.id :> int)
- in
- if trs == dummy2 then
- let trs = get_trans_aux a tag states in
- (Cache.N2.add
- a.cache2
- (tag.QName.id :> int)
- (states.StateSet.id :> int) trs; trs)
- else trs
-
-
-(*
-let eval_form phi fcs nss ps ss is_left is_right has_left has_right kind =
- let rec loop phi =
- begin match SFormula.expr phi with
- Formula.True | Formula.False -> phi
- | Formula.Atom a ->
- let p, b, q = Atom.node a in begin
- match p with
- | First_child ->
- if b == StateSet.mem q fcs then SFormula.true_ else phi
- | Next_sibling ->
- if b == StateSet.mem q nss then SFormula.true_ else phi
- | Parent | Previous_sibling ->
- if b == StateSet.mem q ps then SFormula.true_ else phi
- | Stay ->
- if b == StateSet.mem q ss then SFormula.true_ else phi
- | Is_first_child -> SFormula.of_bool (b == is_left)
- | Is_next_sibling -> SFormula.of_bool (b == is_right)
- | Is k -> SFormula.of_bool (b == (k == kind))
- | Has_first_child -> SFormula.of_bool (b == has_left)
- | Has_next_sibling -> SFormula.of_bool (b == has_right)
- end
- | Formula.And(phi1, phi2) -> SFormula.and_ (loop phi1) (loop phi2)
- | Formula.Or (phi1, phi2) -> SFormula.or_ (loop phi1) (loop phi2)
- end
- in
- loop phi
-
-let int_of_conf is_left is_right has_left has_right kind =
- ((Obj.magic kind) lsl 4) lor
- ((Obj.magic is_left) lsl 3) lor
- ((Obj.magic is_right) lsl 2) lor
- ((Obj.magic has_left) lsl 1) lor
- (Obj.magic has_right)
-
-let eval_trans auto ltrs fcs nss ps ss is_left is_right has_left has_right kind =
- let n = int_of_conf is_left is_right has_left has_right kind
- and k = (fcs.StateSet.id :> int)
- and l = (nss.StateSet.id :> int)
- and m = (ps.StateSet.id :> int) in
- let rec loop ltrs ss =
- let i = (ltrs.TransList.id :> int)
- and j = (ss.StateSet.id :> int) in
- let (new_ltrs, new_ss) as res =
- let res = Cache.N6.find auto.cache6 i j k l m n in
- if res == dummy6 then
- let res =
- TransList.fold (fun trs (acct, accs) ->
- let q, lab, phi = Transition.node trs in
- if StateSet.mem q accs then (acct, accs) else
- let new_phi =
- eval_form
- phi fcs nss ps accs
- is_left is_right has_left has_right kind
- in
- if SFormula.is_true new_phi then
- (acct, StateSet.add q accs)
- else if SFormula.is_false new_phi then
- (acct, accs)
- else
- let new_tr = Transition.make (q, lab, new_phi) in
- (TransList.cons new_tr acct, accs)
- ) ltrs (TransList.nil, ss)
- in
- Cache.N6.add auto.cache6 i j k l m n res; res
- else
- res
- in
- if new_ss == ss then res else
- loop new_ltrs new_ss
- in
- loop ltrs ss
-
-*)
-
-let simplify_atom atom pos q { Config.node=config; _ } =
- if (pos && StateSet.mem q config.sat)
- || ((not pos) && StateSet.mem q config.unsat) then SFormula.true_
- else if (pos && StateSet.mem q config.unsat)
- || ((not pos) && StateSet.mem q config.sat) then SFormula.false_
- else atom
-
-
-let eval_form phi fcs nss ps ss summary =
- let rec loop phi =
- begin match SFormula.expr phi with
- Formula.True | Formula.False -> phi
- | Formula.Atom a ->
- let p, b, q = Atom.node a in begin
- match p with
- | First_child -> simplify_atom phi b q fcs
- | Next_sibling -> simplify_atom phi b q nss
- | Parent | Previous_sibling -> simplify_atom phi b q ps
- | Stay -> simplify_atom phi b q ss
- | Is_first_child -> SFormula.of_bool (b == (is_left summary))
- | Is_next_sibling -> SFormula.of_bool (b == (is_right summary))
- | Is k -> SFormula.of_bool (b == (k == (kind summary)))
- | Has_first_child -> SFormula.of_bool (b == (has_left summary))
- | Has_next_sibling -> SFormula.of_bool (b == (has_right summary))
- end
- | Formula.And(phi1, phi2) -> SFormula.and_ (loop phi1) (loop phi2)
- | Formula.Or (phi1, phi2) -> SFormula.or_ (loop phi1) (loop phi2)
- end
- in
- loop phi
-
-
-
-let eval_trans auto fcs nss ps ss =
- let fcsid = (fcs.Config.id :> int) in
- let nssid = (nss.Config.id :> int) in
- let psid = (ps.Config.id :> int) in
- let rec loop old_config =
- let oid = (old_config.Config.id :> int) in
- let res =
- let res = Cache.N4.find auto.cache4 oid fcsid nssid psid in
- if res != dummy_config then res
- else
- let { sat = old_sat;
- unsat = old_unsat;
- todo = old_todo;
- summary = old_summary } = old_config.Config.node
- in
- let sat, unsat, removed, kept, todo =
- TransList.fold
- (fun trs acc ->
- let q, lab, phi = Transition.node trs in
- let a_sat, a_unsat, a_rem, a_kept, a_todo = acc in
- if StateSet.mem q a_sat || StateSet.mem q a_unsat then acc else
- let new_phi =
- eval_form phi fcs nss ps old_config old_summary
- in
- if SFormula.is_true new_phi then
- StateSet.add q a_sat, a_unsat, StateSet.add q a_rem, a_kept, a_todo
- else if SFormula.is_false new_phi then
- a_sat, StateSet.add q a_unsat, StateSet.add q a_rem, a_kept, a_todo
- else
- let new_tr = Transition.make (q, lab, new_phi) in
- (a_sat, a_unsat, a_rem, StateSet.add q a_kept, (TransList.cons new_tr a_todo))
- ) old_todo (old_sat, old_unsat, StateSet.empty, StateSet.empty, TransList.nil)
- in
- (* States that have been removed from the todo list and not kept are now
- unsatisfiable *)
- let unsat = StateSet.union unsat (StateSet.diff removed kept) in
- (* States that were found once to be satisfiable remain so *)
- let unsat = StateSet.diff unsat sat in
- let new_config = Config.make { sat; unsat; todo ; summary = old_summary } in
- Cache.N4.add auto.cache4 oid fcsid nssid psid new_config;
- new_config
- in
- if res == old_config then res else loop res
- in
- loop ss
+let uid t = t.id
-(*
- [add_trans a q labels f] adds a transition [(q,labels) -> f] to the
- automaton [a] but ensures that transitions remains pairwise disjoint
-*)
-
-let add_trans a q s f =
- 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, SFormula.or_ phi f) ]
- in
- let tr2 =
- if QNameSet.is_empty lab2 then []
- else [ (lab2, SFormula.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 get_states a = a.states
+let get_starting_states a = a.starting_states
+let get_selecting_states a = a.selecting_states
+let get_states_by_rank a = a.ranked_states
+let get_max_rank a = Array.length a.ranked_states - 1
let _pr_buff = Buffer.create 50
let _str_fmt = formatter_of_buffer _pr_buff
Buffer.clear _pr_buff; s
let print fmt a =
+ let _ = _flush_str_fmt() in
fprintf fmt
"Internal UID: %i@\n\
States: %a@\n\
+ Number of states: %i@\n\
+ Starting states: %a@\n\
Selection states: %a@\n\
+ Ranked states: %a@\n\
Alternating transitions:@\n"
(a.id :> int)
StateSet.print a.states
- StateSet.print a.selection_states;
+ (StateSet.cardinal a.states)
+ 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;
let trs =
Hashtbl.fold
(fun q t acc -> List.fold_left (fun acc (s , f) -> (q,s,f)::acc) acc t)
[]
in
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))
+ let c = State.compare q2 q1 in if c == 0 then QNameSet.compare s2 s1 else c)
trs
in
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
+ 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
let line = Pretty.line (max_all + max_pre + 6) in
let prev_q = ref State.dummy in
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"
+ (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.
let complete_transitions a =
StateSet.iter (fun q ->
- 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, SFormula.false_) :: qtrans
- in
- Hashtbl.replace a.transitions q nqtrans
+ 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 =
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
+ StateSet.iter loop (Formula.get_states phi)) trs
end
in
- StateSet.iter loop a.selection_states;
+ 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
let memo_state = Hashtbl.create 17 in
let todo = Queue.create () in
let rec flip b f =
- match SFormula.expr f with
- Formula.True | Formula.False -> if b then f else SFormula.not_ 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 = 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_ (Atom.make (l, true, q))
- end else begin
+ 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
+ let not_q =
+ try
(* does the inverted state of q exist ? *)
- Hashtbl.find memo_state (q, false)
- with
- Not_found ->
+ 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
- SFormula.atom_ (Atom.make (l, true, not_q))
- end
+ 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.selection_states;
+ 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 = Hashtbl.find auto.transitions q in
- let trans' = List.map (fun (lab, f) -> lab, flip b f) trans in
- Hashtbl.replace auto.transitions q' trans';
+ if not (StateSet.mem q auto.starting_states) then
+ 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
+(* [compute_dependencies auto] returns a hash table storing for each
+ states [q] a Move.table containing the set of states on which [q]
+ depends (loosely). [q] depends on [q'] if there is a transition
+ [q, {...} -> phi], where [q'] occurs in [phi].
+*)
+let compute_dependencies auto =
+ let edges = Hashtbl.create 17 in
+ StateSet.iter
+ (fun q -> Hashtbl.add edges q (Move.create_table StateSet.empty))
+ auto.starting_states;
+ Hashtbl.iter (fun q trans ->
+ let moves = try Hashtbl.find edges q with Not_found ->
+ let m = Move.create_table StateSet.empty in
+ Hashtbl.add edges q m;
+ m
+ in
+ List.iter (fun (_, phi) ->
+ let m_phi = Formula.get_states_by_move phi in
+ Move.iter (fun m set ->
+ Move.set moves m (StateSet.union set (Move.get moves m)))
+ m_phi) trans) auto.transitions;
+
+ edges
+
+
+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 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 =
+ let new_acc =
+ Hashtbl.fold (fun q deps acc ->
+ let to_remove = StateSet.union acc initacc in
+ List.iter
+ (fun m ->
+ Move.set deps m (StateSet.diff (Move.get deps m) to_remove)
+ )
+ dir;
+ 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
+ in
+ let satisfied = loop StateSet.empty in
+ StateSet.iter (fun q ->
+ Hashtbl.remove dependencies q) satisfied;
+ satisfied
+ in
+ let current_states = ref StateSet.empty in
+ let rank_list = ref [] in
+ let rank = ref 0 in
+ let current_dir = ref upward in
+ let detect_cycle = ref 0 in
+ while Hashtbl.length dependencies != 0 do
+ let new_sat = update_dependencies !current_dir !current_states in
+ if StateSet.is_empty new_sat then incr detect_cycle;
+ if !detect_cycle > 2 then assert false;
+ rank_list := (!rank, new_sat) :: !rank_list;
+ rank := !rank + 1;
+ current_dir := swap !current_dir;
+ current_states := StateSet.union new_sat !current_states;
+ done;
+ let by_rank = Hashtbl.create 17 in
+ 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)
+
+
+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 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;
+ ranked_states = Array.map (map_set rename) a.ranked_states
+ }
+
+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;
+ let a = { a1 with
+ states = StateSet.union a1.states a2.states;
+ selecting_states = a2.selecting_states;
+ transitions = a1.transitions;
+ }
+ in compute_rank a; a
+
+let merge a1 a2 =
+ let a1 = copy a1 in
+ let a2 = copy a2 in
+ let a = { 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
+ } in
+ compute_rank a ; a
+
+
+let link a1 a2 q link_phi =
+ let a = { a1 with
+ states = StateSet.union a1.states a2.states;
+ selecting_states = StateSet.singleton q;
+ 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
+ Hashtbl.add a1.transitions q [(QNameSet.any, link_phi)];
+ a1.transitions
+ }
+ in
+ compute_rank a; a
+
+let union a1 a2 =
+ let a1 = copy a1 in
+ let a2 = copy a2 in
+ let q = State.make () in
+ let link_phi =
+ StateSet.fold
+ (fun q phi -> Formula.(or_ (stay q) phi))
+ (StateSet.union a1.selecting_states a2.selecting_states)
+ Formula.false_
+ in
+ link a1 a2 q link_phi
+
+let inter a1 a2 =
+ let a1 = copy a1 in
+ let a2 = copy a2 in
+ let q = State.make () in
+ let link_phi =
+ StateSet.fold
+ (fun q phi -> Formula.(and_ (stay q) phi))
+ (StateSet.union a1.selecting_states a2.selecting_states)
+ Formula.true_
+ in
+ link a1 a2 q link_phi
+
+let neg a =
+ let a = copy a in
+ let q = State.make () in
+ let link_phi =
+ StateSet.fold
+ (fun q phi -> Formula.(and_ (not_(stay q)) phi))
+ a.selecting_states
+ Formula.true_
+ in
+ let () = Hashtbl.add a.transitions q [(QNameSet.any, link_phi)] in
+ let a =
+ { a with
+ selecting_states = StateSet.singleton q;
+ }
+ in
+ normalize_negations a; compute_rank a; a
+let diff a1 a2 = inter a1 (neg a2)
projects / tatoo.git / blobdiff