-(* Todo refactor and remove this alias *)
INCLUDE "debug.ml"
-let gen_id =
- let id = ref (-1) in
- fun () -> incr id;!id
-
- module TS =
- struct
- type t = Nil
- | Sing of Tree.t
- | Cons of Tree.t*t
- | ConsCat of Tree.t * t * t
- | Concat of t*t
- let empty = Nil
-
- let cons e t = Cons(e,t)
- let concat t1 t2 = Concat(t1,t2)
- let append e t = Concat(t,Sing(e))
-
-
-
-
- let fold f l acc =
- let rec loop acc = function
- | Nil -> acc
- | Sing e -> f e acc
- | Cons (e,t) -> loop (f e acc) t
- | ConsCat (e,t1,t2) -> loop (loop (f e acc) t1) t2
- | Concat (t1,t2) -> loop (loop acc t1) t2
- in
- loop acc l
-
- let length l = fold (fun _ x -> x+1) l 0
-
-
- let iter f l =
- let rec loop = function
- | Nil -> ()
- | Sing e -> f e
- | Cons (e,t) -> f e; loop t
- | ConsCat(e,t1,t2) ->
- f e; loop t1; loop t2
- | Concat(t1,t2) -> loop t1;loop t2
- in loop l
-
- end
+INCLUDE "utils.ml"
+type jump_kind = [ `TAG of Tag.t | `CONTAINS of string | `NOTHING ]
+(* Todo : move elsewhere *)
+external vb : bool -> int = "%identity"
-let h_union = Hashtbl.create 4097
-
-let pt_cup s1 s2 =
- let h = (Ptset.hash s1)*(Ptset.hash s2) - ((Ptset.hash s2)+(Ptset.hash s1)) in
- try
- Hashtbl.find h_union h
- with
- | Not_found -> let s = Ptset.union s1 s2
- in
- Hashtbl.add h_union h s;s
-
-
-module State = struct
-
+module State :
+sig
+ include Sigs.T with type t = int
+ val make : unit -> t
+end =
+struct
type t = int
- let mk = gen_id
-
+ let make =
+ let id = ref (-1) in
+ fun () -> incr id;!id
+ let compare = (-)
+ let equal = (==)
+ external hash : t -> int = "%identity"
+ let print fmt x = Format.fprintf fmt "%i" x
+ let dump fmt x = print fmt x
+ let check x =
+ if x < 0 then failwith (Printf.sprintf "State: Assertion %i < 0 failed" x)
end
-let mk_state = State.mk
-
-type state = State.t
-
-
-type formula_expr =
- | False | True
- | Or of formula * formula
- | And of formula * formula
- | Atom of ([ `Left | `Right | `LLeft | `RRight ]*bool*state)
-and formula = { fid: int;
- fkey : int;
- pos : formula_expr;
- neg : formula;
- st : (Ptset.t*Ptset.t*Ptset.t)*(Ptset.t*Ptset.t*Ptset.t);
- size: int;
- }
-
-external hash_const_variant : [> ] -> int = "%identity"
-external vb : bool -> int = "%identity"
-
-let hash_node_form t = match t with
- | False -> 0
- | True -> 1
- | And(f1,f2) -> (2+17*f1.fkey + 37*f2.fkey) (*land max_int *)
- | Or(f1,f2) -> (3+101*f1.fkey + 253*f2.fkey) (*land max_int *)
- | Atom(v,b,s) -> ((hash_const_variant v) + (3846*(vb b) +257) + (s lsl 13 - s)) (*land max_int *)
-
-
-module FormNode =
+module StateSet = Ptset.Int
+
+module Formula =
struct
- type t = formula
-
- let hash t = t.fkey
- let equal f1 f2 =
- if f1.fid == f2.fid || f1.fkey == f2.fkey || f1.pos == f2.pos then true
- else
- match f1.pos,f2.pos with
- | False,False | True,True -> true
- | Atom(d1,b1,s1), Atom(d2,b2,s2) when (b1==b2) && (s1==s2) && (d1 = d2) -> true
- | Or(g1,g2),Or(h1,h2)
- | And(g1,g2),And(h1,h2) -> g1.fid == h1.fid && g2.fid == h2.fid
+ type 'hcons expr =
+ | False | True
+ | Or of 'hcons * 'hcons
+ | And of 'hcons * 'hcons
+ | Atom of ([ `Left | `Right | `LLeft | `RRight ]*bool*State.t)
+ type 'hcons node = {
+ pos : 'hcons expr;
+ mutable neg : 'hcons;
+ st : (StateSet.t*StateSet.t*StateSet.t)*(StateSet.t*StateSet.t*StateSet.t);
+ size: int; (* Todo check if this is needed *)
+ }
+
+ external hash_const_variant : [> ] -> int = "%identity"
+ module rec HNode : Hcons.S with type data = Node.t = Hcons.Make (Node)
+ and Node : Hashtbl.HashedType with type t = HNode.t node =
+ struct
+ type t = HNode.t node
+ let equal x y = x.size == y.size &&
+ match x.pos,y.pos with
+ | False,False
+ | True,True -> true
+ | Or(xf1,xf2),Or(yf1,yf2)
+ | And(xf1,xf2),And(yf1,yf2) -> (HNode.equal xf1 yf1) && (HNode.equal xf2 yf2)
+ | Atom(d1,p1,s1), Atom(d2,p2,s2) -> d1 == d2 && (p1==p2) && s1 == s2
| _ -> false
-
-end
-module WH = Weak.Make(FormNode)
-
-let f_pool = WH.create 107
-
-let empty_triple = Ptset.empty,Ptset.empty,Ptset.empty
-let empty_hex = empty_triple,empty_triple
-
-let true_,false_ =
- let rec t = { fid = 1; pos = True; fkey=1; neg = f ; st = empty_hex; size =1; }
- and f = { fid = 0; pos = False; fkey=0; neg = t; st = empty_hex; size = 1; }
- in
- WH.add f_pool f;
- WH.add f_pool t;
- t,f
-
-let is_true f = f.fid == 1
-let is_false f = f.fid == 0
-
-
-let cons pos neg s1 s2 size1 size2 =
- let rec pnode =
- { fid = gen_id ();
- fkey = hash_node_form pos;
- pos = pos;
- neg = nnode;
- st = s1;
- size = size1;}
- and nnode = {
- fid = gen_id ();
- pos = neg;
- fkey = hash_node_form neg;
- neg = pnode;
- st = s2;
- size = size2;
- }
- in
- (WH.merge f_pool pnode),(WH.merge f_pool nnode)
-
-let atom_ d p s =
- let si = Ptset.singleton s in
- let ss = match d with
- | `Left -> (si,Ptset.empty,si),empty_triple
- | `Right -> empty_triple,(si,Ptset.empty,si)
- | `LLeft -> (Ptset.empty,si,si),empty_triple
- | `RRight -> empty_triple,(Ptset.empty,si,si)
- in fst (cons (Atom(d,p,s)) (Atom(d,not p,s)) ss ss 1 1)
-
-let union_hex ((l1,ll1,lll1),(r1,rr1,rrr1)) ((l2,ll2,lll2),(r2,rr2,rrr2)) =
- (pt_cup l1 l2 ,pt_cup ll1 ll2,pt_cup lll1 lll2),
- (pt_cup r1 r2 ,pt_cup rr1 rr2,pt_cup rrr1 rrr2)
-
-let merge_states f1 f2 =
- let sp =
- union_hex f1.st f2.st
- and sn =
- union_hex f1.neg.st f2.neg.st
- in
- sp,sn
+ let hash f =
+ match f.pos with
+ | False -> 0
+ | True -> 1
+ | Or (f1,f2) -> HASHINT3(PRIME2,HNode.uid f1,HNode.uid f2)
+ | And (f1,f2) -> HASHINT3(PRIME3,HNode.uid f1,HNode.uid f2)
+ | Atom(d,p,s) -> HASHINT4(PRIME4,hash_const_variant d,vb p,s)
+ end
+
+ type t = HNode.t
+ let hash = HNode.hash
+ let uid = HNode.uid
+ let equal = HNode.equal
+ let expr f = (HNode.node f).pos
+ let st f = (HNode.node f ).st
+ let size f = (HNode.node f).size
-let full_or_ f1 f2 =
- let f1,f2 = if f1.fid < f2.fid then f2,f1 else f1,f2 in
- let sp,sn = merge_states f1 f2 in
- let psize = f1.size + f2.size in
- let nsize = f1.neg.size + f2.neg.size in
- fst (cons (Or(f1,f2)) (And(f1.neg,f2.neg)) sp sn psize nsize )
-
-let or_ f1 f2 =
- let f1,f2 = if f1.fid < f2.fid then f2,f1 else f1,f2 in
- if is_true f1 || is_true f2 then true_
- else if is_false f1 && is_false f2 then false_
- else if is_false f1 then f2
- else if is_false f2 then f1
- else
- let psize = f1.size + f2.size in
- let nsize = f1.neg.size + f2.neg.size in
- let sp,sn = merge_states f1 f2 in
- fst (cons (Or(f1,f2)) (And(f1.neg,f2.neg)) sp sn psize nsize)
-
-
-
-let and_ f1 f2 =
- let f1,f2 = if f1.fid < f2.fid then f2,f1 else f1,f2 in
- if is_true f1 && is_true f2 then true_
- else if is_false f1 || is_false f2 then false_
- else if is_true f1 then f2
- else if is_true f2 then f1
- else
- let psize = f1.size + f2.size in
- let nsize = f1.neg.size + f2.neg.size in
- let sp,sn = merge_states f1 f2 in
- fst (cons (And(f1,f2)) (Or(f1.neg,f2.neg)) sp sn psize nsize)
-
+ let prio f =
+ match expr f with
+ | True | False -> 10
+ | Atom _ -> 8
+ | And _ -> 6
+ | Or _ -> 1
+
+ let rec print ?(parent=false) ppf f =
+ if parent then Format.fprintf ppf "(";
+ let _ = match expr f with
+ | True -> Format.fprintf ppf "T"
+ | False -> Format.fprintf ppf "F"
+ | And(f1,f2) ->
+ print ~parent:(prio f > prio f1) ppf f1;
+ Format.fprintf ppf " ∧ ";
+ print ~parent:(prio f > prio f2) ppf f2;
+ | Or(f1,f2) ->
+ (print ppf f1);
+ Format.fprintf ppf " ∨ ";
+ (print ppf f2);
+ | Atom(dir,b,s) -> Format.fprintf ppf "%s%s[%i]"
+ (if b then "" else "¬")
+ (match dir with
+ | `Left -> "↓₁"
+ | `Right -> "↓₂"
+ | `LLeft -> "⇓₁"
+ | `RRight -> "⇓₂") s
+ in
+ if parent then Format.fprintf ppf ")"
+
+ let print ppf f = print ~parent:false ppf f
+
+ let is_true f = (expr f) == True
+ let is_false f = (expr f) == False
+
+
+ let cons pos neg s1 s2 size1 size2 =
+ let nnode = HNode.make { pos = neg; neg = (Obj.magic 0); st = s2; size = size2 } in
+ let pnode = HNode.make { pos = pos; neg = nnode ; st = s1; size = size1 }
+ in
+ (HNode.node nnode).neg <- pnode; (* works because the neg field isn't taken into
+ account for hashing ! *)
+ pnode,nnode
+
+ let empty_triple = StateSet.empty,StateSet.empty,StateSet.empty
+ let empty_hex = empty_triple,empty_triple
+ let true_,false_ = cons True False empty_hex empty_hex 0 0
+ let atom_ d p s =
+ let si = StateSet.singleton s in
+ let ss = match d with
+ | `Left -> (si,StateSet.empty,si),empty_triple
+ | `Right -> empty_triple,(si,StateSet.empty,si)
+ | `LLeft -> (StateSet.empty,si,si),empty_triple
+ | `RRight -> empty_triple,(StateSet.empty,si,si)
+ in fst (cons (Atom(d,p,s)) (Atom(d,not p,s)) ss ss 1 1)
+
+ let not_ f = (HNode.node f).neg
+ let union_hex ((l1,ll1,lll1),(r1,rr1,rrr1)) ((l2,ll2,lll2),(r2,rr2,rrr2)) =
+ (StateSet.mem_union l1 l2 ,StateSet.mem_union ll1 ll2,StateSet.mem_union lll1 lll2),
+ (StateSet.mem_union r1 r2 ,StateSet.mem_union rr1 rr2,StateSet.mem_union rrr1 rrr2)
+
+ let merge_states f1 f2 =
+ let sp =
+ union_hex (st f1) (st f2)
+ and sn =
+ union_hex (st (not_ f1)) (st (not_ f2))
+ in
+ sp,sn
-let not_ f = f.neg
+ let order f1 f2 = if uid f1 < uid f2 then f2,f1 else f1,f2
-let k_hash (s,t) = ((Ptset.hash s)) lsl 31 lxor (Tag.hash t)
+ let or_ f1 f2 =
+ (* Tautologies: x|x, x|not(x) *)
-module HTagSetKey =
-struct
- type t = Ptset.t*Tag.t
- let equal (s1,s2) (t1,t2) = (s2 == t2) && Ptset.equal s1 t1
- let hash = k_hash
-end
+ if equal f1 f2 then f1 else
+ if equal f1 (not_ f2) then true_ else
-module HTagSet = Hashtbl.Make(HTagSetKey)
+ (* simplification *)
+ if is_true f1 || is_true f2 then true_ else
+ if is_false f1 && is_false f2 then false_ else
+ if is_false f1 then f2 else
+ if is_false f2 then f1 else
-type dispatch = { first : Tree.t -> Tree.t;
- flabel : string;
- next : Tree.t -> Tree.t -> Tree.t;
- nlabel : string;
- consres : Tree.t -> TS.t -> TS.t -> bool -> bool -> TS.t
- }
+ (* commutativity of | *)
+
+ let f1,f2 = order f1 f2 in
+ let psize = (size f1) + (size f2) in
+ let nsize = (size (not_ f1)) + (size (not_ f2)) in
+ let sp,sn = merge_states f1 f2 in
+ fst (cons (Or(f1,f2)) (And(not_ f1,not_ f2)) sp sn psize nsize)
+
+
+ let and_ f1 f2 =
-type formlist = Nil | Cons of state*formula*int*formlist
+ (* Tautologies: x&x, x¬(x) *)
-let f_hash (h,s,t) = h * 41+((Ptset.hash s) lsl 10 ) lxor (Ptset.hash t)*4097
-module HFormlistKey =
-struct
- type t = int*Ptset.t*Ptset.t
- let equal (h1,s1,t1) (h2,s2,t2) = h1==h2 && s1 == s2 && t1 == t2
- let hash = f_hash
-end
-module HFormlist = Hashtbl.Make (HFormlistKey)
+ if equal f1 f2 then f1 else
+ if equal f1 (not_ f2) then false_ else
-type t = {
- id : int;
- mutable states : Ptset.t;
- init : Ptset.t;
- mutable final : Ptset.t;
- universal : Ptset.t;
- starstate : Ptset.t option;
- (* Transitions of the Alternating automaton *)
- phi : (state,(TagSet.t*(bool*formula*bool)) list) Hashtbl.t;
- sigma : (dispatch*bool*formlist*Ptset.t*Ptset.t) HTagSet.t;
-}
-
- module Pair (X : Set.OrderedType) (Y : Set.OrderedType) =
- struct
- type t = X.t*Y.t
- let compare (x1,y1) (x2,y2) =
- let r = X.compare x1 x2 in
- if r == 0 then Y.compare y1 y2
- else r
- end
+ (* simplifications *)
- module PL = Set.Make (Pair (Ptset) (Ptset))
-
-
- let pr_st ppf l = Format.fprintf ppf "{";
- begin
- match l with
- | [] -> ()
- | [s] -> Format.fprintf ppf " %i" s
- | p::r -> Format.fprintf ppf " %i" p;
- List.iter (fun i -> Format.fprintf ppf "; %i" i) r
- end;
- Format.fprintf ppf " }"
- let rec pr_frm ppf f = match f.pos with
- | True -> Format.fprintf ppf "⊤"
- | False -> Format.fprintf ppf "⊥"
- | And(f1,f2) ->
- Format.fprintf ppf "(";
- (pr_frm ppf f1);
- Format.fprintf ppf ") ∧ (";
- (pr_frm ppf f2);
- Format.fprintf ppf ")"
- | Or(f1,f2) ->
- (pr_frm ppf f1);
- Format.fprintf ppf " ∨ ";
- (pr_frm ppf f2);
- | Atom(dir,b,s) -> Format.fprintf ppf "%s%s[%i]"
- (if b then "" else "¬")
- (match dir with
- | `Left -> "↓₁"
- | `Right -> "↓₂"
- | `LLeft -> "⇓₁"
- | `RRight -> "⇓₂") s
-
- let dnf_hash = Hashtbl.create 17
-
- let rec dnf_aux f = match f.pos with
- | False -> PL.empty
- | True -> PL.singleton (Ptset.empty,Ptset.empty)
- | Atom((`Left|`LLeft),_,s) -> PL.singleton (Ptset.singleton s,Ptset.empty)
- | Atom((`Right|`RRight),_,s) -> PL.singleton (Ptset.empty,Ptset.singleton s)
- | Or(f1,f2) -> PL.union (dnf f1) (dnf f2)
- | And(f1,f2) ->
- let pl1 = dnf f1
- and pl2 = dnf f2
- in
- PL.fold (fun (s1,s2) acc ->
- PL.fold ( fun (s1', s2') acc' ->
- (PL.add
- ((Ptset.union s1 s1'),
- (Ptset.union s2 s2')) acc') )
- pl2 acc )
- pl1 PL.empty
-
- and dnf f =
- try
- Hashtbl.find dnf_hash f.fid
- with
- Not_found ->
- let d = dnf_aux f in
- Hashtbl.add dnf_hash f.fid d;d
-
-
- let can_top_down f =
- let nf = dnf f in
- if (PL.cardinal nf > 3)then None
- else match PL.elements nf with
- | [(s1,s2); (t1,t2); (u1,u2)] when
- Ptset.is_empty s1 && Ptset.is_empty s2 && Ptset.is_empty t1 && Ptset.is_empty u2
- -> Some(true,t2,u1)
- | [(t1,t2); (u1,u2)] when Ptset.is_empty t1 && Ptset.is_empty u2
- -> Some(false,t2,u1)
- | _ -> None
-
-
- let equal_form f1 f2 =
- (f1.fid == f2.fid) || (FormNode.equal f1 f2) || (PL.equal (dnf f1) (dnf f2))
+ if is_true f1 && is_true f2 then true_ else
+ if is_false f1 || is_false f2 then false_ else
+ if is_true f1 then f2 else
+ if is_true f2 then f1 else
- let dump ppf a =
- Format.fprintf ppf "Automaton (%i) :\n" a.id;
- Format.fprintf ppf "States : "; pr_st ppf (Ptset.elements a.states);
- Format.fprintf ppf "\nInitial states : "; pr_st ppf (Ptset.elements a.init);
- Format.fprintf ppf "\nFinal states : "; pr_st ppf (Ptset.elements a.final);
- Format.fprintf ppf "\nUniversal states : "; pr_st ppf (Ptset.elements a.universal);
- Format.fprintf ppf "\nAlternating transitions :\n------------------------------\n";
- let l = Hashtbl.fold (fun k t acc ->
- (List.map (fun (t,(m,f,p)) -> (t,k),(m,f,p)) t)@ acc) a.phi [] in
- let l = List.sort (fun ((tsx,x),_) ((tsy,y),_) -> if x-y == 0 then TagSet.compare tsx tsy else x-y) l in
- List.iter (fun ((ts,q),(b,f,_)) ->
-
- let s =
- if TagSet.is_finite ts
- then "{" ^ (TagSet.fold (fun t a -> a ^ " '" ^ (Tag.to_string t)^"'") ts "") ^" }"
- else let cts = TagSet.neg ts in
- if TagSet.is_empty cts then "*" else
- (TagSet.fold (fun t a -> a ^ " " ^ (Tag.to_string t)) cts "*\\{"
- )^ "}"
- in
- Format.fprintf ppf "(%s,%i) %s " s q (if b then "=>" else "->");
- pr_frm ppf f;
- Format.fprintf ppf "\n")l;
-
- Format.fprintf ppf "NFA transitions :\n------------------------------\n";
-(* HTagSet.iter (fun (qs,t) (disp,b,_,flist,_,_) ->
- let (ls,lls,_),(rs,rrs,_) =
- List.fold_left (fun ((a1,b1,c1),(a2,b2,c2)) (_,f) ->
- let (x1,y1,z1),(x2,y2,z2) = f.st in
- ((Ptset.union x1 a1),(Ptset.union y1 b1),(Ptset.union c1 z1)),
- ((Ptset.union x2 a2),(Ptset.union y2 b2),(Ptset.union c2 z2)))
- ((Ptset.empty,Ptset.empty,Ptset.empty),
- (Ptset.empty,Ptset.empty,Ptset.empty))
- flist
- in
- pr_st ppf (Ptset.elements qs);
- Format.fprintf ppf ",%s %s " (Tag.to_string t) (if b then "=>" else "->");
- List.iter (fun (q,f) ->
- Format.fprintf ppf "\n%i," q;
- pr_frm ppf f) flist;
- Format.fprintf ppf "\nleft=";
- pr_st ppf (Ptset.elements ls);
- Format.fprintf ppf " , ";
- pr_st ppf (Ptset.elements lls);
- Format.fprintf ppf ", right=";
- pr_st ppf (Ptset.elements rs);
- Format.fprintf ppf ", ";
- pr_st ppf (Ptset.elements rrs);
- Format.fprintf ppf ", first=%s, next=%s\n\n" disp.flabel disp.nlabel;
- ) a.sigma; *)
- Format.fprintf ppf "=======================================\n%!"
-
- module Transitions = struct
- type t = state*TagSet.t*bool*formula*bool
- let ( ?< ) x = x
- let ( >< ) state (l,b) = state,(l,b,false)
- let ( ><@ ) state (l,b) = state,(l,b,true)
- let ( >=> ) (state,(label,mark,pred)) form = (state,label,mark,form,pred)
+ (* commutativity of & *)
+
+ let f1,f2 = order f1 f2 in
+ let psize = (size f1) + (size f2) in
+ let nsize = (size (not_ f1)) + (size (not_ f2)) in
+ let sp,sn = merge_states f1 f2 in
+ fst (cons (And(f1,f2)) (Or(not_ f1,not_ f2)) sp sn psize nsize)
+ module Infix = struct
let ( +| ) f1 f2 = or_ f1 f2
let ( *& ) f1 f2 = and_ f1 f2
- let ( ** ) d s = atom_ d true s
+ let ( *+ ) d s = atom_ d true s
+ let ( *- ) d s = atom_ d false s
+ end
+end
+
+module Transition = struct
+
+ type node = State.t*bool*Formula.t*bool
+ include Hcons.Make(struct
+ type t = node
+ let hash (s,m,f,b) = HASHINT4(s,Formula.uid f,vb m,vb b)
+ let equal (s,b,f,m) (s',b',f',m') =
+ s == s' && b==b' && m==m' && Formula.equal f f'
+ end)
+
+ let print ppf f = let (st,mark,form,b) = node f in
+ Format.fprintf ppf "%i %s" st (if mark then "⇒" else "→");
+ Formula.print ppf form;
+ Format.fprintf ppf "%s%!" (if b then " (b)" else "")
+ module Infix = struct
+ let ( ?< ) x = x
+ let ( >< ) state (l,mark) = state,(l,mark,false)
+ let ( ><@ ) state (l,mark) = state,(l,mark,true)
+ let ( >=> ) (state,(label,mark,bur)) form = (state,label,(make (state,mark,form,bur)))
end
- type transition = Transitions.t
-
- let equal_trans (q1,t1,m1,f1,_) (q2,t2,m2,f2,_) =
- (q1 == q2) && (TagSet.equal t1 t2) && (m1 == m2) && (equal_form f1 f2)
-
- module HFEval = Hashtbl.Make(
- struct
- type t = int*Ptset.t*Ptset.t
- let equal (a,b,c) (d,e,f) =
- a==d && (Ptset.equal b e) && (Ptset.equal c f)
- let hash (a,b,c) =
- a+17*(Ptset.hash b) + 31*(Ptset.hash c)
- end)
-
- let hfeval = HFEval.create 4097
-
-
- let eval_form_bool f s1 s2 =
- let rec eval f = match f.pos with
- (* test some inlining *)
- | True -> true,true,true
- | False -> false,false,false
- | _ ->
- try
- HFEval.find hfeval (f.fid,s1,s2)
- with
- | Not_found -> let r =
- match f.pos with
- | Atom((`Left|`LLeft),b,q) ->
- if b == (Ptset.mem q s1)
- then (true,true,false)
- else false,false,false
- | Atom(_,b,q) ->
- if b == (Ptset.mem q s2)
- then (true,false,true)
- else false,false,false
- | Or(f1,f2) ->
- let b1,rl1,rr1 = eval f1
- in
- if b1 && rl1 && rr1 then (true,true,true)
- else
- let b2,rl2,rr2 = eval f2
- in
- let rl1,rr1 = if b1 then rl1,rr1 else false,false
- and rl2,rr2 = if b2 then rl2,rr2 else false,false
- in (b1 || b2, rl1||rl2,rr1||rr2)
- | And(f1,f2) ->
- let b1,rl1,rr1 = eval f1 in
- if b1 && rl1 && rr1 then (true,true,true)
- else if b1
- then let b2,rl2,rr2 = eval f2 in
- if b2 then (true,rl1||rl2,rr1||rr2)
- else (false,false,false)
- else (false,false,false)
- | _ -> assert false
- in
- HFEval.add hfeval (f.fid,s1,s2) r;
- r
- in eval f
-
-
- let h_formlist = HFormlist.create 511
-
- let form_list_fold_left f acc fl =
- let rec loop acc fl =
- match fl with
- | Nil -> acc
- | Cons(s,frm,h,fll) -> loop (f acc s frm h) fll
- in
- loop acc fl
+end
+module TransTable = Hashtbl
+
+module Formlist = struct
+ include Hlist.Make(Transition)
+ let print ppf fl =
+ iter (fun t -> Transition.print ppf t; Format.pp_print_newline ppf ()) fl
+end
+
+type 'a t = {
+ id : int;
+ mutable states : Ptset.Int.t;
+ init : Ptset.Int.t;
+ starstate : Ptset.Int.t option;
+ (* Transitions of the Alternating automaton *)
+ trans : (State.t,(TagSet.t*Transition.t) list) Hashtbl.t;
+ query_string: string;
+ }
- let rec eval_formlist s1 s2 = function
- | Nil -> Ptset.empty,false,false,false
- | Cons(q,f,h,fl) ->
- let k = (h,s1,s2)
- in
- try HFormlist.find h_formlist k
- with
- Not_found ->
- let s,b',b1',b2' = eval_formlist s1 s2 fl in
- let b,b1,b2 = eval_form_bool f s1 s2 in
- let r = if b then (Ptset.add q s, b'||b, b1'||b1,b2'||b2)
- else s,b',b1',b2'
- in
- HFormlist.add h_formlist k r;r
+
+let dump ppf a =
+ Format.fprintf ppf "Automaton (%i) :\n" a.id;
+ Format.fprintf ppf "States : "; StateSet.print ppf a.states;
+ Format.fprintf ppf "\nInitial states : "; StateSet.print ppf a.init;
+ Format.fprintf ppf "\nAlternating transitions :\n";
+ let l = Hashtbl.fold (fun k t acc ->
+ (List.map (fun (ts,tr) -> (ts,k),Transition.node tr) t) @ acc) a.trans [] in
+ let l = List.sort (fun ((tsx,x),_) ((tsy,y),_) ->
+ if y-x == 0 then TagSet.compare tsy tsx else y-x) l in
+ let maxh,maxt,l_print =
+ List.fold_left (
+ fun (maxh,maxt,l) ((ts,q),(_,b,f,_)) ->
+ let s =
+ if TagSet.is_finite ts
+ then "{" ^ (TagSet.fold (fun t a -> a ^ " '" ^ (Tag.to_string t)^"'") ts "") ^" }"
+ else let cts = TagSet.neg ts in
+ if TagSet.is_empty cts then "*" else
+ (TagSet.fold (fun t a -> a ^ " " ^ (Tag.to_string t)) cts "*\\{"
+ )^ "}"
+ in
+ let s = Printf.sprintf "(%s,%i)" s q in
+ let s_frm =
+ Formula.print Format.str_formatter f;
+ Format.flush_str_formatter()
+ in
+ (max (String.length s) maxh, max (String.length s_frm) maxt,
+ (s,(if b then "⇒" else "→"),s_frm)::l)) (0,0,[]) l
+ in
+ Format.fprintf ppf "%s\n%!" (String.make (maxt+maxh+3) '_');
+ List.iter (fun (s,m,f) -> let s = s ^ (String.make (maxh-(String.length s)) ' ') in
+ Format.fprintf ppf "%s %s %s\n" s m f) l_print;
+ Format.fprintf ppf "%s\n%!" (String.make (maxt+maxh+3) '_')
+
+module FormTable = Hashtbl.Make(struct
+ type t = Formula.t*StateSet.t*StateSet.t
+ let equal (f1,s1,t1) (f2,s2,t2) =
+ f1 == f2 && s1 == s2 && t1 == t2
+ let hash (f,s,t) =
+ HASHINT3(Formula.uid f ,StateSet.uid s,StateSet.uid t)
+ end)
+module F = Formula
+
+let eval_form_bool =
+ let h_f = FormTable.create BIG_H_SIZE in
+ fun f s1 s2 ->
+ let rec loop f =
+ match F.expr f with
+ | F.True -> true,true,true
+ | F.False -> false,false,false
+ | F.Atom((`Left|`LLeft),b,q) ->
+ if b == (StateSet.mem q s1)
+ then (true,true,false)
+ else false,false,false
+ | F.Atom(_,b,q) ->
+ if b == (StateSet.mem q s2)
+ then (true,false,true)
+ else false,false,false
+ | f' ->
+ try FormTable.find h_f (f,s1,s2)
+ with Not_found -> let r =
+ match f' with
+ | F.Or(f1,f2) ->
+ let b1,rl1,rr1 = loop f1
+ in
+ if b1 && rl1 && rr1 then (true,true,true) else
+ let b2,rl2,rr2 = loop f2 in
+ let rl1,rr1 = if b1 then rl1,rr1 else false,false
+ and rl2,rr2 = if b2 then rl2,rr2 else false,false
+ in (b1 || b2, rl1||rl2,rr1||rr2)
+
+ | F.And(f1,f2) ->
+ let b1,rl1,rr1 = loop f1 in
+ if b1 && rl1 && rr1 then (true,true,true) else
+ if b1 then
+ let b2,rl2,rr2 = loop f2 in
+ if b2 then (true,rl1||rl2,rr1||rr2) else (false,false,false)
+ else (false,false,false)
+ | _ -> assert false
+ in FormTable.add h_f (f,s1,s2) r;r
+ in loop f
+
+module FTable = Hashtbl.Make( struct
+ type t = Formlist.t*StateSet.t*StateSet.t
+ let equal (f1,s1,t1) (f2,s2,t2) =
+ f1 == f2 && s1 == s2 && t1 == t2;;
+ let hash (f,s,t) = HASHINT3(Formlist.uid f ,StateSet.uid s,StateSet.uid t);;
+ end)
+
+
+let h_f = FTable.create BIG_H_SIZE
+
+let eval_formlist s1 s2 fl =
+ let rec loop fl =
+ try
+ FTable.find h_f (fl,s1,s2)
+ with
+ | Not_found ->
+ match Formlist.node fl with
+ | Formlist.Cons(f,fll) ->
+ let q,mark,f,_ = Transition.node f in
+ let b,b1,b2 = eval_form_bool f s1 s2 in
+ let (s,(b',b1',b2',amark)) as res = loop fll in
+ let r = if b then (StateSet.add q s, (b, b1'||b1,b2'||b2,mark||amark))
+ else res
+ in FTable.add h_f (fl,s1,s2) r;r
+ | Formlist.Nil -> StateSet.empty,(false,false,false,false)
+ in loop fl
-
-
- let tags_of_state a q = Hashtbl.fold
- (fun p l acc ->
- if p == q then
- List.fold_left
- (fun acc (ts,(_,_,aux)) ->
- if aux then acc else
- TagSet.cup ts acc) acc l
- else acc) a.phi TagSet.empty
-
+let tags_of_state a q =
+ Hashtbl.fold
+ (fun p l acc ->
+ if p == q then List.fold_left
+ (fun acc (ts,t) ->
+ let _,_,_,aux = Transition.node t in
+ if aux then acc else
+ TagSet.cup ts acc) acc l
+
+ else acc) a.trans TagSet.empty
+
let tags a qs =
- let ts = Ptset.fold (fun q acc -> TagSet.cup acc (tags_of_state a q)) qs TagSet.empty
+ let ts = Ptset.Int.fold (fun q acc -> TagSet.cup acc (tags_of_state a q)) qs TagSet.empty
in
if TagSet.is_finite ts
then `Positive(TagSet.positive ts)
else `Negative(TagSet.negative ts)
+
+ let inter_text a b =
+ match b with
+ | `Positive s -> let r = Ptset.Int.inter a s in (r,Ptset.Int.mem Tag.pcdata r, true)
+ | `Negative s -> let r = Ptset.Int.diff a s in (r, Ptset.Int.mem Tag.pcdata r, false)
+ module type ResultSet =
+ sig
+ type t
+ type elt = [` Tree] Tree.node
+ val empty : t
+ val cons : elt -> t -> t
+ val concat : t -> t -> t
+ val iter : ( elt -> unit) -> t -> unit
+ val fold : ( elt -> 'a -> 'a) -> t -> 'a -> 'a
+ val map : ( elt -> elt) -> t -> t
+ val length : t -> int
+ val merge : (bool*bool*bool*bool) -> elt -> t -> t -> t
+ end
+
+ module Integer : ResultSet =
+ struct
+ type t = int
+ type elt = [`Tree] Tree.node
+ let empty = 0
+ let cons _ x = x+1
+ let concat x y = x + y
+ let iter _ _ = failwith "iter not implemented"
+ let fold _ _ _ = failwith "fold not implemented"
+ let map _ _ = failwith "map not implemented"
+ let length x = x
+ let merge (rb,rb1,rb2,mark) t res1 res2 =
+ if rb then
+ let res1 = if rb1 then res1 else 0
+ and res2 = if rb2 then res2 else 0
+ in
+ if mark then 1+res1+res2
+ else res1+res2
+ else 0
+ end
- let cons_res e s1 s2 b1 b2 =
- if b1&&b2 then
- if s2 == TS.Nil && s1 == TS.Nil
- then TS.Sing e
- else if s1 == TS.Nil
- then TS.Cons (e,s2)
- else if s2 == TS.Nil
- then TS.Cons (e,s1)
- else TS.ConsCat(e,s1,s2)
- else if not(b1 || b2)
- then TS.Sing e
- else if b1 then if s1 == TS.Nil then TS.Sing e else TS.Cons(e,s1)
- else if s2 = TS.Nil then TS.Sing e else TS.Cons(e,s2)
-
- let cat_res _ s1 s2 b1 b2 =
- if b1&&b2 then if s1 == TS.Nil && s2 == TS.Nil then TS.Nil
- else
- if s1 == TS.Nil
- then s2
- else
- if s2 == TS.Nil then s1 else TS.Concat(s1,s2)
- else if not(b1 || b2)
- then TS.Nil
- else if b1 then s1
- else s2
-
+ module IdSet : ResultSet =
+ struct
+ type elt = [`Tree] Tree.node
+ type node = Nil
+ | Cons of elt * node
+ | Concat of node*node
+
+ and t = { node : node;
+ length : int }
+
+ let empty = { node = Nil; length = 0 }
+ let cons e t = { node = Cons(e,t.node); length = t.length+1 }
+ let concat t1 t2 = { node = Concat(t1.node,t2.node); length = t1.length+t2.length }
+ let append e t = { node = Concat(t.node,Cons(e,Nil)); length = t.length+1 }
- let merge_trans t a tag q acc =
- List.fold_left (fun (accf,accm,acchtrue,acchash) (ts,(m,f,pred)) ->
- if TagSet.mem tag ts
- then
- let acchash = acchash+31*f.fid+42*q in
- (Cons(q,f,acchash,accf),accm||m,acchtrue||(is_true f),acchash)
- else (accf,accm,acchtrue,acchash)
- ) acc (try Hashtbl.find a.phi q with Not_found -> [])
+ let fold f l acc =
+ let rec loop acc t = match t with
+ | Nil -> acc
+ | Cons (e,t) -> loop (f e acc) t
+ | Concat (t1,t2) -> loop (loop acc t1) t2
+ in
+ loop acc l.node
+
+ let length l = l.length
- let inter_text a b =
- match b with
- | `Positive s -> let r = Ptset.inter a s in (r,Ptset.mem Tag.pcdata r, true)
- | `Negative s -> (Ptset.empty, not (Ptset.mem Tag.pcdata s), false)
-
- let mk_nil_ctx x _ = Tree.mk_nil x
- let next_sibling_ctx x _ = Tree.next_sibling x
- let r_ignore _ x = x
-
- let get_trans t a tag r =
- try
- HTagSet.find a.sigma (r,tag)
- with
- Not_found ->
- let fl,mark,_,_,accq =
- Ptset.fold (fun q (accf,accm,acchtrue,acchash,accq) ->
- let naccf,naccm,nacctrue,acchash =
- merge_trans t a tag q (accf,accm,acchtrue,acchash )
- in
- (* if is_false naccf then (naccf,naccm,nacctrue,accq)
- else *) (naccf,naccm,nacctrue,acchash,Ptset.add q accq)
- )
- r (Nil,false,false,17,Ptset.empty)
- in
- let (ls,lls,llls),(rs,rrs,rrrs) =
- form_list_fold_left (fun ((a1,b1,c1),(a2,b2,c2)) _ f _ ->
- let (x1,y1,z1),(x2,y2,z2) = f.st in
- ((Ptset.union x1 a1),(Ptset.union y1 b1),(Ptset.union c1 z1)),
- ((Ptset.union x2 a2),(Ptset.union y2 b2),(Ptset.union c2 z2)))
- ((Ptset.empty,Ptset.empty,Ptset.empty),
- (Ptset.empty,Ptset.empty,Ptset.empty))
- fl
- in
- let tb,ta =
- Tree.tags t tag
- in
- let tl,htlt,lfin = inter_text tb (tags a ls)
- and tll,htllt,llfin = inter_text tb (tags a lls)
- and tr,htrt,rfin = inter_text ta (tags a rs)
- and trr,htrrt,rrfin = inter_text ta (tags a rrs)
- in(*
- let _ =
- Format.fprintf Format.err_formatter "Tag %s, right_states " (Tag.to_string tag);
- pr_st Format.err_formatter (Ptset.elements rs);
- Format.fprintf Format.err_formatter " tags = ";
- Ptset.iter (fun t -> Format.fprintf Format.err_formatter "%s "
- (Tag.to_string t)) tr;
- Format.fprintf Format.err_formatter ", next_states ";
- pr_st Format.err_formatter (Ptset.elements rrs);
- Format.fprintf Format.err_formatter " tags = ";
- Ptset.iter (fun t -> Format.fprintf Format.err_formatter "%s "
- (Tag.to_string t)) trr;
- Format.fprintf Format.err_formatter "\n%!";
-
- in*)
- let first,flabel =
- if (llfin && lfin) then (* no stars *)
- (if htlt || htllt then (Tree.text_below, "#text_below")
- else
- let etl = Ptset.is_empty tl
- and etll = Ptset.is_empty tll
- in
- if (etl && etll)
- then (Tree.mk_nil, "#mk_nil")
- else
- if etl then
- if Ptset.is_singleton tll
- then (Tree.tagged_desc (Ptset.choose tll), "#tagged_desc")
- else (Tree.select_desc_only tll, "#select_desc_only")
- else if etll then (Tree.node_child,"#node_child")
- else (Tree.select_below tl tll,"#select_below"))
- else (* stars or node() *)
- if htlt||htllt then (Tree.first_child,"#first_child")
- else (Tree.node_child,"#node_child")
- and next,nlabel =
- if (rrfin && rfin) then (* no stars *)
- ( if htrt || htrrt
- then (Tree.text_next, "#text_next")
- else
- let etr = Ptset.is_empty tr
- and etrr = Ptset.is_empty trr
- in
- if etr && etrr
- then (mk_nil_ctx, "#mk_nil_ctx")
- else
- if etr then
- if Ptset.is_singleton trr
- then (Tree.tagged_foll_below (Ptset.choose trr),"#tagged_foll_below")
- else (Tree.select_foll_only trr,"#select_foll_only")
- else if etrr then (Tree.node_sibling_ctx,"#node_sibling_ctx")
- else
- (Tree.select_next tr trr,"#select_next") )
-
- else if htrt || htrrt then (Tree.next_sibling_ctx,"#next_sibling_ctx")
- else (Tree.node_sibling_ctx,"#node_sibling_ctx")
- in
- let dispatch = { first = first; flabel = flabel; next = next; nlabel = nlabel;
- consres = if mark then cons_res else cat_res }
- in
- HTagSet.add a.sigma (accq,tag) (dispatch,mark,fl,llls,rrrs);
- dispatch,mark,fl,llls,rrrs
-
-
- let rec accepting_among a t r ctx =
- if Tree.is_nil t || Ptset.is_empty r then Ptset.empty,0,TS.Nil else
- let dispatch,mark,flist,llls,rrrs =
- get_trans t a (Tree.tag t) r
+ let iter f l =
+ let rec loop = function
+ | Nil -> ()
+ | Cons (e,t) -> f e; loop t
+ | Concat(t1,t2) -> loop t1;loop t2
+ in loop l.node
+
+ let map f l =
+ let rec loop = function
+ | Nil -> Nil
+ | Cons(e,t) -> Cons(f e, loop t)
+ | Concat(t1,t2) -> Concat(loop t1,loop t2)
in
- let s1,n1,res1 = accepting_among a (dispatch.first t) llls t in
- let s2,n2,res2 = accepting_among a (dispatch.next t ctx) rrrs ctx in
- let r',rb,rb1,rb2 = eval_formlist s1 s2 flist in
- r',(vb rb)*((vb mark) + (vb rb1)* n1 + (vb rb2)*n2),if rb then
- dispatch.consres t res1 res2 rb1 rb2
- else TS.Nil
-
- let run a t =
- let st,n,res = accepting_among a t a.init t in
- if Ptset.is_empty (st) then TS.empty,0 else res,n
-
-
- let rec accepting_among_count_no_star a t r ctx =
- if Tree.is_nil t||Ptset.is_empty r then Ptset.empty,0 else
- let dispatch,mark,flist,llls,rrrs =
- get_trans t a (Tree.tag t) r
+ { l with node = loop l.node }
+
+ let merge (rb,rb1,rb2,mark) t res1 res2 =
+ if rb then
+ let res1 = if rb1 then res1 else empty
+ and res2 = if rb2 then res2 else empty
in
- let s1,res1 = accepting_among_count_no_star a (dispatch.first t) llls t
- and s2,res2 = accepting_among_count_no_star a (dispatch.next t ctx) rrrs ctx
- in
- let r',rb,rb1,rb2 = eval_formlist s1 s2 flist
- in
- r',(vb rb)*((vb mark) + (vb rb1)*res1 + (vb rb2)*res2)
+ if mark then { node = Cons(t,(Concat(res1.node,res2.node)));
+ length = res1.length + res2.length + 1;}
+ else
+ { node = (Concat(res1.node,res2.node));
+ length = res1.length + res2.length ;}
+ else empty
+
+
+ end
+ module GResult = struct
+ type t
+ type elt = [` Tree] Tree.node
+ external create_empty : int -> t = "caml_result_set_create"
+ external set : t -> int -> t = "caml_result_set_set"
+ external next : t -> int -> int = "caml_result_set_next"
+ external clear : t -> int -> int -> unit = "caml_result_set_clear"
+ let empty = create_empty 100000000
+
+ let cons e t = set t (Obj.magic e)
+ let concat _ t = t
+ let iter f t =
+ let rec loop i =
+ if i == -1 then ()
+ else (f (Obj.magic i);loop (next t i))
+ in loop 0
+
+ let fold _ _ _ = failwith "noop"
+ let map _ _ = failwith "noop"
+ let length t = let cpt = ref ~-1 in
+ iter (fun _ -> incr cpt) t; !cpt
+
+ let merge (rb,rb1,rb2,mark) elt t1 t2 =
+ if mark then (set t1 (Obj.magic elt) ; t1) else t1
+
+ end
+ module Run (RS : ResultSet) =
+ struct
+ module SList = Hlist.Make (StateSet)
- let rec accepting_among_count_star a t n =
- if Tree.is_nil t then n else
- if (Tree.tag t == Tag.attribute)
- then accepting_among_count_star a (Tree.node_sibling t) n
- else accepting_among_count_star a (Tree.node_sibling t)
- (accepting_among_count_star a (Tree.node_child t) (1+n))
- let rec accepting_among_count_may_star starstate a t r ctx =
- if r == starstate then starstate,(accepting_among_count_star a t 0)
- else
- if Tree.is_nil t||Ptset.is_empty r then Ptset.empty,0 else
- let dispatch,mark,flist,llls,rrrs =
- get_trans t a (Tree.tag t) r
+IFDEF DEBUG
+THEN
+ module IntSet = Set.Make(struct type t = int let compare = (-) end)
+INCLUDE "html_trace.ml"
+
+END
+ let mk_fun f s = D_IGNORE_(register_funname f s,f)
+ let mk_app_fun f arg s = let g = f arg in
+ D_IGNORE_(register_funname g ((get_funname f) ^ " " ^ s), g)
+
+ let string_of_ts tags = (Ptset.Int.fold (fun t a -> a ^ " " ^ (Tag.to_string t) ) tags "{")^ " }"
+
+
+
+ module Algebra =
+ struct
+ type jump = [ `LONG | `CLOSE | `NIL ]
+ type t = jump*Ptset.Int.t
+
+ let merge_jump (j1,l1) (j2,l2) =
+ match j1,j2 with
+ | _ when j1 = j2 -> (j1,Ptset.Int.union l1 l2)
+ | _,`NIL -> j1,l1
+ | `NIL,_ -> j2,l2
+ | _,_ -> (`CLOSE, Ptset.Int.union l1 l2)
+
+ let merge_jump_list = function
+ | [] -> `NIL,Ptset.Int.empty
+ | p::r -> List.fold_left (merge_jump) p r
+
+ let labels a s =
+ Hashtbl.fold
+ (
+ fun q l acc ->
+ if (q == s)
+ then
+
+ (List.fold_left
+ (fun acc (ts,f) ->
+ let _,_,_,bur = Transition.node f in
+ if bur then acc else TagSet.cup acc ts)
+ acc l)
+ else acc ) a.trans TagSet.empty
+ exception Found
+
+ let is_rec a s access =
+ List.exists
+ (fun (_,t) -> let _,_,f,_ = Transition.node t in
+ StateSet.mem s (access f)) (Hashtbl.find a.trans s)
+
+
+ let decide a c_label l_label dir_states access =
+
+ let l = StateSet.fold
+ (fun s l ->
+ let s_rec= is_rec a s access in
+ let tlabels,jmp =
+ if s_rec then l_label,`LONG
+ else c_label,`CLOSE in
+ let slabels = TagSet.positive ((TagSet.cap (labels a s) tlabels))
+ in
+ (if Ptset.Int.is_empty slabels
+ then `NIL,Ptset.Int.empty
+ else jmp,slabels)::l) dir_states []
+ in merge_jump_list l
+
+
+
+
+
+ end
+
+
+
+ let choose_jump tagset qtags1 qtagsn a f_nil f_t1 f_s1 f_tn f_sn f_notext f_maytext =
+ let tags1,hastext1,fin1 = inter_text tagset (tags a qtags1) in
+ let tagsn,hastextn,finn = inter_text tagset (tags a qtagsn) in
+ (*if (hastext1||hastextn) then (`ANY,f_text) (* jumping to text nodes doesn't work really well *)
+ else*)
+ if (Ptset.Int.is_empty tags1) && (Ptset.Int.is_empty tagsn) then (`NIL,f_nil)
+ else if (Ptset.Int.is_empty tagsn) then
+ if (Ptset.Int.is_singleton tags1)
+ then (* TaggedChild/Sibling *)
+ let tag = (Ptset.Int.choose tags1) in (`TAG(tag),mk_app_fun f_t1 tag (Tag.to_string tag))
+ else (* SelectChild/Sibling *)
+ (`ANY,mk_app_fun f_s1 tags1 (string_of_ts tags1))
+ else if (Ptset.Int.is_empty tags1) then
+ if (Ptset.Int.is_singleton tagsn)
+ then (* TaggedDesc/Following *)
+ let tag = (Ptset.Int.choose tagsn) in (`TAG(tag),mk_app_fun f_tn tag (Tag.to_string tag))
+ else (* SelectDesc/Following *)
+ (`ANY,mk_app_fun f_sn tagsn (string_of_ts tagsn))
+ else if (hastext1||hastextn) then (`ANY,f_maytext)
+ else (`ANY,f_notext)
+
+ let choose_jump_down tree a b c d =
+ choose_jump a b c d
+ (mk_fun (fun _ -> Tree.nil) "Tree.mk_nil")
+ (mk_fun (Tree.tagged_child tree) "Tree.tagged_child")
+ (mk_fun (Tree.select_child tree) "Tree.select_child")
+ (mk_fun (Tree.tagged_desc tree) "Tree.tagged_desc")
+ (mk_fun (Tree.select_desc tree) "Tree.select_desc")
+ (mk_fun (Tree.first_element tree) "Tree.first_element")
+ (mk_fun (Tree.first_child tree) "Tree.first_child")
+
+ let choose_jump_next tree a b c d =
+ choose_jump a b c d
+ (mk_fun (fun _ _ -> Tree.nil) "Tree.mk_nil2")
+ (mk_fun (Tree.tagged_sibling_ctx tree) "Tree.tagged_sibling_ctx")
+ (mk_fun (Tree.select_sibling_ctx tree) "Tree.select_sibling_ctx")
+ (mk_fun (Tree.tagged_foll_ctx tree) "Tree.tagged_foll_ctx")
+ (mk_fun (Tree.select_foll_ctx tree) "Tree.select_foll_ctx")
+ (mk_fun (Tree.next_element_ctx tree) "Tree.node_element_ctx")
+ (mk_fun (Tree.next_sibling_ctx tree) "Tree.node_sibling_ctx")
+
+
+ module SetTagKey =
+ struct
+ type t = Tag.t*SList.t
+ let equal (t1,s1) (t2,s2) = t1 == t2 && s1 == s2
+ let hash (t,s) = HASHINT2(t,SList.uid s)
+ end
+
+ module CachedTransTable = Hashtbl.Make(SetTagKey)
+ let td_trans = CachedTransTable.create 4093
+
+
+ let empty_size n =
+ let rec loop acc = function 0 -> acc
+ | n -> loop (SList.cons StateSet.empty acc) (n-1)
+ in loop SList.nil n
+
+ let merge rb rb1 rb2 mark t res1 res2 =
+ if rb then
+ let res1 = if rb1 then res1 else RS.empty
+ and res2 = if rb2 then res2 else RS.empty
in
- let s1,res1 = accepting_among_count_may_star starstate a (dispatch.first t) llls t
- and s2,res2 = accepting_among_count_may_star starstate a (dispatch.next t ctx) rrrs ctx
+ if mark then RS.cons t (RS.concat res1 res2)
+ else RS.concat res1 res2
+ else RS.empty
+
+ let top_down ?(noright=false) a tree t slist ctx slot_size =
+ let pempty = empty_size slot_size in
+ (* evaluation starts from the right so we put sl1,res1 at the end *)
+ let eval_fold2_slist fll t (sl2,res2) (sl1,res1) =
+ let res = Array.copy res1 in
+ let rec fold l1 l2 fll i aq =
+ match fll with
+ [fl] -> (* inline for speed *)
+ let s1 = SList.hd l1
+ and s2 = SList.hd l2 in
+ let r',flags = eval_formlist s1 s2 fl in
+ let _ = res.(i) <- RS.merge flags t res1.(i) res2.(i) in
+ (SList.cons r' aq),res
+ | fl::fll ->
+ let SList.Cons(s1,ll1) = l1.SList.Node.node
+ and SList.Cons(s2,ll2) = l2.SList.Node.node in
+ let r',flags = eval_formlist s1 s2 fl in
+ let _ = res.(i) <- RS.merge flags t res1.(i) res2.(i)
+ in
+ fold ll1 ll2 fll (i+1) (SList.cons r' aq)
+ | _ -> aq,res
in
- let r',rb,rb1,rb2 = eval_formlist s1 s2 flist
- in
- r',(vb rb)*((vb mark) + (vb rb1)*res1 + (vb rb2)*res2)
-
+ fold sl1 sl2 fll 0 SList.nil
+ in
+ let null_result() = (pempty,Array.make slot_size RS.empty) in
+
+ let rec loop t slist ctx =
+ if t == Tree.nil then null_result() else get_trans t slist (Tree.tag tree t) ctx
+ and loop_tag tag t slist ctx =
+ if t == Tree.nil then null_result() else get_trans t slist tag ctx
+ and loop_no_right t slist ctx =
+ if t == Tree.nil then null_result() else get_trans ~noright:true t slist (Tree.tag tree t) ctx
+ and get_trans ?(noright=false) t slist tag ctx =
+ let cont =
+ try
+ CachedTransTable.find td_trans (tag,slist)
+ with
+ | Not_found ->
+ let fl_list,llist,rlist,ca,da,sa,fa =
+ SList.fold
+ (fun set (fll_acc,lllacc,rllacc,ca,da,sa,fa) -> (* For each set *)
+ let fl,ll,rr,ca,da,sa,fa =
+ StateSet.fold
+ (fun q acc ->
+ List.fold_left
+ (fun ((fl_acc,ll_acc,rl_acc,c_acc,d_acc,s_acc,f_acc) as acc)
+ (ts,t) ->
+ if (TagSet.mem tag ts)
+ then
+ let _,_,f,_ = Transition.node t in
+ let (child,desc,below),(sibl,foll,after) = Formula.st f in
+ (Formlist.cons t fl_acc,
+ StateSet.union ll_acc below,
+ StateSet.union rl_acc after,
+ StateSet.union child c_acc,
+ StateSet.union desc d_acc,
+ StateSet.union sibl s_acc,
+ StateSet.union foll f_acc)
+ else acc ) acc (
+ try Hashtbl.find a.trans q
+ with
+ Not_found -> Printf.eprintf "Looking for state %i, doesn't exist!!!\n%!"
+ q;[]
+ )
+
+ ) set (Formlist.nil,StateSet.empty,StateSet.empty,ca,da,sa,fa)
+ in fl::fll_acc, (SList.cons ll lllacc), (SList.cons rr rllacc),ca,da,sa,fa)
+ slist ([],SList.nil,SList.nil,StateSet.empty,StateSet.empty,StateSet.empty,StateSet.empty)
+ in
+ (* Logic to chose the first and next function *)
+ let _,tags_below,_,tags_after = Tree.tags tree tag in
+(* let _ = Printf.eprintf "Tags below %s are : \n" (Tag.to_string tag) in
+ let _ = Ptset.Int.iter (fun i -> Printf.eprintf "%s " (Tag.to_string i)) tags_below in
+ let _ = Printf.eprintf "\n%!" in *)
+ let f_kind,first = choose_jump_down tree tags_below ca da a
+ and n_kind,next = if noright then (`NIL, fun _ _ -> Tree.nil )
+ else choose_jump_next tree tags_after sa fa a in
+ let empty_res = null_result() in
+ let cont =
+ match f_kind,n_kind with
+ | `NIL,`NIL ->
+ (fun _ _ -> eval_fold2_slist fl_list t empty_res empty_res )
+ | _,`NIL -> (
+ match f_kind with
+ |`TAG(tag) ->
+ (fun t _ -> eval_fold2_slist fl_list t empty_res
+ (loop_tag tag (first t) llist t))
+ | `ANY ->
+ (fun t _ -> eval_fold2_slist fl_list t empty_res
+ (loop (first t) llist t))
+ | _ -> assert false)
+
+ | `NIL,_ -> (
+ match n_kind with
+ |`TAG(tag) ->
+ (fun t ctx -> eval_fold2_slist fl_list t
+ (loop_tag tag (next t ctx) rlist ctx) empty_res)
+
+ | `ANY ->
+ (fun t ctx -> eval_fold2_slist fl_list t
+ (loop (next t ctx) rlist ctx) empty_res)
+
+ | _ -> assert false)
+
+ | `TAG(tag1),`TAG(tag2) ->
+ (fun t ctx -> eval_fold2_slist fl_list t
+ (loop (next t ctx) rlist ctx)
+ (loop (first t) llist t))
+
+ | `TAG(tag),`ANY ->
+ (fun t ctx ->
+ eval_fold2_slist fl_list t
+ (loop (next t ctx) rlist ctx)
+ (loop_tag tag (first t) llist t))
+ | `ANY,`TAG(tag) ->
+ (fun t ctx ->
+ eval_fold2_slist fl_list t
+ (loop_tag tag (next t ctx) rlist ctx)
+ (loop (first t) llist t) )
+ | `ANY,`ANY ->
+ (fun t ctx ->
+ eval_fold2_slist fl_list t
+ (loop (next t ctx) rlist ctx)
+ (loop (first t) llist t) )
+ | _ -> assert false
+ in
+ let cont = D_IF_( (fun t ctx ->
+ let a,b = cont t ctx in
+ register_trace tree t (slist,a,fl_list,first,next,ctx);
+ (a,b)
+ ) ,cont)
+ in
+ (CachedTransTable.add td_trans (tag,slist) cont;cont)
+ in cont t ctx
+
+ in
+ (if noright then loop_no_right else loop) t slist ctx
+
+
+ let run_top_down a tree =
+ let init = SList.cons a.init SList.nil in
+ let _,res = top_down a tree Tree.root init Tree.root 1
+ in
+ D_IGNORE_(
+ output_trace a tree "trace.html"
+ (RS.fold (fun t a -> IntSet.add (Tree.id tree t) a) res.(0) IntSet.empty),
+ res.(0))
+ ;;
+
+ module Configuration =
+ struct
+ module Ptss = Set.Make(StateSet)
+ module IMap = Map.Make(StateSet)
+ type t = { hash : int;
+ sets : Ptss.t;
+ results : RS.t IMap.t }
+ let empty = { hash = 0;
+ sets = Ptss.empty;
+ results = IMap.empty;
+ }
+ let is_empty c = Ptss.is_empty c.sets
+ let add c s r =
+ if Ptss.mem s c.sets then
+ { c with results = IMap.add s (RS.concat r (IMap.find s c.results)) c.results}
+ else
+ { hash = HASHINT2(c.hash,Ptset.Int.uid s);
+ sets = Ptss.add s c.sets;
+ results = IMap.add s r c.results
+ }
- let run_count a t =
-
- let st,res = match a.starstate with
- | None -> accepting_among_count_no_star a t a.init t
- | Some s -> accepting_among_count_may_star s a t a.init t
- in
- if Ptset.is_empty (st) then 0 else res
+ let pr fmt c = Format.fprintf fmt "{";
+ Ptss.iter (fun s -> StateSet.print fmt s;
+ Format.fprintf fmt " ") c.sets;
+ Format.fprintf fmt "}\n%!";
+ IMap.iter (fun k d ->
+ StateSet.print fmt k;
+ Format.fprintf fmt "-> %i\n" (RS.length d)) c.results;
+ Format.fprintf fmt "\n%!"
+
+ let merge c1 c2 =
+ let acc1 =
+ IMap.fold
+ ( fun s r acc ->
+ IMap.add s
+ (try
+ RS.concat r (IMap.find s acc)
+ with
+ | Not_found -> r) acc) c1.results IMap.empty
+ in
+ let imap =
+ IMap.fold (fun s r acc ->
+ IMap.add s
+ (try
+ RS.concat r (IMap.find s acc)
+ with
+ | Not_found -> r) acc) c2.results acc1
+ in
+ let h,s =
+ Ptss.fold
+ (fun s (ah,ass) -> (HASHINT2(ah,Ptset.Int.uid s),
+ Ptss.add s ass))
+ (Ptss.union c1.sets c2.sets) (0,Ptss.empty)
+ in
+ { hash = h;
+ sets =s;
+ results = imap }
+
+ end
+
+ let h_fold = Hashtbl.create 511
+
+ let fold_f_conf t slist fl_list conf dir=
+ let rec loop sl fl acc =
+ match SList.node sl,fl with
+ |SList.Nil,[] -> acc
+ |SList.Cons(s,sll), formlist::fll ->
+ let r',(rb,rb1,rb2,mark) =
+ let key = SList.hash sl,Formlist.hash formlist,dir in
+ try
+ Hashtbl.find h_fold key
+ with
+ Not_found -> let res =
+ if dir then eval_formlist s Ptset.Int.empty formlist
+ else eval_formlist Ptset.Int.empty s formlist
+ in (Hashtbl.add h_fold key res;res)
+ in
+ if rb && ((dir&&rb1)|| ((not dir) && rb2))
+ then
+ let acc =
+ let old_r =
+ try Configuration.IMap.find s conf.Configuration.results
+ with Not_found -> RS.empty
+ in
+ Configuration.add acc r' (if mark then RS.cons t old_r else old_r)
+ in
+ loop sll fll acc
+ else loop sll fll acc
+ | _ -> assert false
+ in
+ loop slist fl_list Configuration.empty
+
+ let h_trans = Hashtbl.create 4096
+
+ let get_up_trans slist ptag a tree =
+ let key = (HASHINT2(SList.uid slist,ptag)) in
+ try
+ Hashtbl.find h_trans key
+ with
+ | Not_found ->
+ let f_list =
+ Hashtbl.fold (fun q l acc ->
+ List.fold_left (fun fl_acc (ts,t) ->
+ if TagSet.mem ptag ts then Formlist.cons t fl_acc
+ else fl_acc)
+
+ acc l)
+ a.trans Formlist.nil
+ in
+ let res = SList.fold (fun _ acc -> f_list::acc) slist []
+ in
+ (Hashtbl.add h_trans key res;res)
+
+
+ let h_tdconf = Hashtbl.create 511
+ let rec bottom_up a tree t conf next jump_fun root dotd init accu =
+ if (not dotd) && (Configuration.is_empty conf ) then
+ accu,conf,next
+ else
+
+ let below_right = Tree.is_below_right tree t next in
- let run_time _ _ = failwith "blah"
+ let accu,rightconf,next_of_next =
+ if below_right then (* jump to the next *)
+ bottom_up a tree next conf (jump_fun next) jump_fun (Tree.next_sibling tree t) true init accu
+ else accu,Configuration.empty,next
+ in
+ let sub =
+ if dotd then
+ if below_right then prepare_topdown a tree t true
+ else prepare_topdown a tree t false
+ else conf
+ in
+ let conf,next =
+ (Configuration.merge rightconf sub, next_of_next)
+ in
+ if t == root then accu,conf,next else
+ let parent = Tree.binary_parent tree t in
+ let ptag = Tree.tag tree parent in
+ let dir = Tree.is_left tree t in
+ let slist = Configuration.Ptss.fold (fun e a -> SList.cons e a) conf.Configuration.sets SList.nil in
+ let fl_list = get_up_trans slist ptag a parent in
+ let slist = SList.rev (slist) in
+ let newconf = fold_f_conf parent slist fl_list conf dir in
+ let accu,newconf = Configuration.IMap.fold (fun s res (ar,nc) ->
+ if Ptset.Int.intersect s init then
+ ( RS.concat res ar ,nc)
+ else (ar,Configuration.add nc s res))
+ (newconf.Configuration.results) (accu,Configuration.empty)
+ in
+ bottom_up a tree parent newconf next jump_fun root false init accu
+
+ and prepare_topdown a tree t noright =
+ let tag = Tree.tag tree t in
+ let r =
+ try
+ Hashtbl.find h_tdconf tag
+ with
+ | Not_found ->
+ let res = Hashtbl.fold (fun q l acc ->
+ if List.exists (fun (ts,_) -> TagSet.mem tag ts) l
+ then Ptset.Int.add q acc
+ else acc) a.trans Ptset.Int.empty
+ in Hashtbl.add h_tdconf tag res;res
+ in
+(* let _ = pr ", among ";
+ StateSet.print fmt (Ptset.Int.elements r);
+ pr "\n%!";
+ in *)
+ let r = SList.cons r SList.nil in
+ let set,res = top_down (~noright:noright) a tree t r t 1 in
+ let set = match SList.node set with
+ | SList.Cons(x,_) ->x
+ | _ -> assert false
+ in
+ Configuration.add Configuration.empty set res.(0)
-(*
- end
-*)
+ let run_bottom_up a tree k =
+ let t = Tree.root in
+ let trlist = Hashtbl.find a.trans (StateSet.choose a.init)
+ in
+ let init = List.fold_left
+ (fun acc (_,t) ->
+ let _,_,f,_ = Transition.node t in
+ let _,_,l = fst ( Formula.st f ) in
+ StateSet.union acc l)
+ StateSet.empty trlist
+ in
+ let tree1,jump_fun =
+ match k with
+ | `TAG (tag) ->
+ (*Tree.tagged_lowest t tag, fun tree -> Tree.tagged_next tree tag*)
+ (Tree.tagged_desc tree tag t, let jump = Tree.tagged_foll_ctx tree tag
+ in fun n -> jump n t )
+ | `CONTAINS(_) -> (Tree.text_below tree t,let jump = Tree.text_next tree
+ in fun n -> jump n t)
+ | _ -> assert false
+ in
+ let tree2 = jump_fun tree1 in
+ let rec loop t next acc =
+ let acc,conf,next_of_next = bottom_up a tree t
+ Configuration.empty next jump_fun (Tree.root) true init acc
+ in
+ let acc = Configuration.IMap.fold
+ ( fun s res acc -> if StateSet.intersect init s
+ then RS.concat res acc else acc) conf.Configuration.results acc
+ in
+ if Tree.is_nil next_of_next (*|| Tree.equal next next_of_next *)then
+ acc
+ else loop next_of_next (jump_fun next_of_next) acc
+ in
+ loop tree1 tree2 RS.empty
+
+
+ end
+
+ let top_down_count a t = let module RI = Run(Integer) in Integer.length (RI.run_top_down a t)
+ let top_down a t = let module RI = Run(IdSet) in (RI.run_top_down a t)
+ let bottom_up_count a t k = let module RI = Run(Integer) in Integer.length (RI.run_bottom_up a t k)
+
+