-(* 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 | Cons of Tree.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,Cons(e,Nil))
-
- let fold f l acc =
- let rec loop acc = function
- | Nil -> acc
- | Cons(e,t) -> loop (f e acc) t
- | 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 -> ()
- | Cons(e,t) -> let _ = f e in loop t
- | Concat(t1,t2) -> let _ = loop t1 in loop t2
- in loop l
-
- end
-
-
-
-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
-
+INCLUDE "utils.ml"
+open Camlp4.Struct
+type jump_kind = [ `TAG of Tag.t | `CONTAINS of string | `NOTHING ]
+
+(* Todo : move elsewhere *)
+external vb : bool -> int = "%identity"
+
+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 int_bool : 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*(int_bool b) +257) + (s lsl 13 - s)) (*land max_int *)
-
-
-module FormNode =
-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
- | _ -> 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 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 not_ f = f.neg
-
-let k_hash (s,t) = ((Ptset.hash s)) lsl 31 lxor (Tag.hash t)
-
-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
+module StateSet =
+struct
+ include Ptset.Make ( struct type t = int
+ type data = t
+ external hash : t -> int = "%identity"
+ external uid : t -> Uid.t = "%identity"
+ external equal : t -> t -> bool = "%eq"
+ external make : t -> int = "%identity"
+ external node : t -> int = "%identity"
+ external with_id : Uid.t -> t = "%identity"
+ end
+ )
+ let print ppf s =
+ Format.pp_print_string ppf "{ ";
+ iter (fun i -> Format.fprintf ppf "%i " i) s;
+ Format.pp_print_string ppf "}";
+ Format.pp_print_flush ppf ()
end
-module HTagSet =
+module Formula =
struct
- type key = Ptset.t*Tag.t
- let equal (s1,s2) (t1,t2) = (s2 == t2) && Ptset.equal s1 t1
- let hash (s,t) = ((Ptset.hash s)) lsl 31 lxor (Tag.hash t)
-
-type 'a t =
- { mutable size: int; (* number of elements *)
- mutable data: (key,'a) bucketlist array } (* the buckets *)
-
-and ('a, 'b) bucketlist =
- Empty
- | Cons of 'a * 'b * ('a, 'b) bucketlist
-
-let create initial_size =
- let s = min (max 1 initial_size) Sys.max_array_length in
- { size = 0; data = Array.make s Empty }
-
-let clear h =
- for i = 0 to Array.length h.data - 1 do
- h.data.(i) <- Empty
- done;
- h.size <- 0
-
-let copy h =
- { size = h.size;
- data = Array.copy h.data }
-
-let length h = h.size
-
-let resize tbl =
- let odata = tbl.data in
- let osize = Array.length odata in
- let nsize = min (2 * osize + 1) Sys.max_array_length in
- if nsize <> osize then begin
- let ndata = Array.create nsize Empty in
- let rec insert_bucket = function
- Empty -> ()
- | Cons(key, data, rest) ->
- insert_bucket rest; (* preserve original order of elements *)
- let nidx = (hash key) mod nsize in
- ndata.(nidx) <- Cons(key, data, ndata.(nidx)) in
- for i = 0 to osize - 1 do
- insert_bucket odata.(i)
- done;
- tbl.data <- ndata;
- end
+ 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 Node : Hcons.S with type data = Data.t = Hcons.Make (Data)
+ and Data : Hashtbl.HashedType with type t = Node.t node =
+ struct
+ type t = Node.t node
+ let equal x y = x.size == y.size &&
+ match x.pos,y.pos with
+ | a,b when a == b -> true
+ | Or(xf1,xf2),Or(yf1,yf2)
+ | And(xf1,xf2),And(yf1,yf2) -> (xf1 == yf1) && (xf2 == yf2)
+ | Atom(d1,p1,s1), Atom(d2,p2,s2) -> d1 == d2 && (p1==p2) && s1 == s2
+ | _ -> false
+ let hash f =
+ match f.pos with
+ | False -> 0
+ | True -> 1
+ | Or (f1,f2) -> HASHINT3(PRIME2,Uid.to_int f1.Node.id, Uid.to_int f2.Node.id)
+ | And (f1,f2) -> HASHINT3(PRIME3,Uid.to_int f1.Node.id, Uid.to_int f2.Node.id)
+ | Atom(d,p,s) -> HASHINT4(PRIME4,hash_const_variant d,vb p,s)
+ end
+
+ type t = Node.t
+ let hash x = x.Node.key
+ let uid x = x.Node.id
+ let equal = Node.equal
+ let expr f = f.Node.node.pos
+ let st f = f.Node.node.st
+ let size f = f.Node.node.size
+
+ 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 add h key info =
- let i = (hash key) mod (Array.length h.data) in
- let bucket = Cons(key, info, h.data.(i)) in
- h.data.(i) <- bucket;
- h.size <- succ h.size;
- if h.size > Array.length h.data lsl 1 then resize h
-
-let remove h key =
- let rec remove_bucket = function
- Empty ->
- Empty
- | Cons(k, i, next) ->
- if equal k key
- then begin h.size <- pred h.size; next end
- else Cons(k, i, remove_bucket next) in
- let i = (hash key) mod (Array.length h.data) in
- h.data.(i) <- remove_bucket h.data.(i)
-
-let rec find_rec key = function
- Empty ->
- raise Not_found
- | Cons(k, d, rest) ->
- if equal key k then d else find_rec key rest
-
-let find h key =
- match h.data.((hash key) mod (Array.length h.data)) with
- Empty -> raise Not_found
- | Cons(k1, d1, rest1) ->
- if equal key k1 then d1 else
- match rest1 with
- Empty -> raise Not_found
- | Cons(k2, d2, rest2) ->
- if equal key k2 then d2 else
- match rest2 with
- Empty -> raise Not_found
- | Cons(k3, d3, rest3) ->
- if equal key k3 then d3 else find_rec key rest3
-
-let find_all h key =
- let rec find_in_bucket = function
- Empty ->
- []
- | Cons(k, d, rest) ->
- if equal k key
- then d :: find_in_bucket rest
- else find_in_bucket rest in
- find_in_bucket h.data.((hash key) mod (Array.length h.data))
-
-let replace h key info =
- let rec replace_bucket = function
- Empty ->
- raise Not_found
- | Cons(k, i, next) ->
- if equal k key
- then Cons(k, info, next)
- else Cons(k, i, replace_bucket next) in
- let i = (hash key) mod (Array.length h.data) in
- let l = h.data.(i) in
- try
- h.data.(i) <- replace_bucket l
- with Not_found ->
- h.data.(i) <- Cons(key, info, l);
- h.size <- succ h.size;
- if h.size > Array.length h.data lsl 1 then resize h
-
-let mem h key =
- let rec mem_in_bucket = function
- | Empty ->
- false
- | Cons(k, d, rest) ->
- equal k key || mem_in_bucket rest in
- mem_in_bucket h.data.((hash key) mod (Array.length h.data))
-
-let iter f h =
- let rec do_bucket = function
- Empty ->
- ()
- | Cons(k, d, rest) ->
- f k d; do_bucket rest in
- let d = h.data in
- for i = 0 to Array.length d - 1 do
- do_bucket d.(i)
- done
-
-let fold f h init =
- let rec do_bucket b accu =
- match b with
- Empty ->
- accu
- | Cons(k, d, rest) ->
- do_bucket rest (f k d accu) in
- let d = h.data in
- let accu = ref init in
- for i = 0 to Array.length d - 1 do
- accu := do_bucket d.(i) !accu
- done;
- !accu
+ let print ppf f = print ~parent:false ppf f
+ let is_true f = (expr f) == True
+ let is_false f = (expr f) == False
-end
+ let cons pos neg s1 s2 size1 size2 =
+ let nnode = Node.make { pos = neg; neg = (Obj.magic 0); st = s2; size = size2 } in
+ let pnode = Node.make { pos = pos; neg = nnode ; st = s1; size = size1 }
+ in
+ (Node.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 = f.Node.node.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 order f1 f2 = if uid f1 < uid f2 then f2,f1 else f1,f2
+ let or_ f1 f2 =
+ (* Tautologies: x|x, x|not(x) *)
+ if equal f1 f2 then f1 else
+ if equal f1 (not_ f2) then true_ else
+ (* 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
+ (* 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 =
+ (* Tautologies: x&x, x¬(x) *)
+ if equal f1 f2 then f1 else
+ if equal f1 (not_ f2) then false_ else
+ (* simplifications *)
-type dispatch = { first : Tree.t -> Tree.t;
- flabel : string;
- next : Tree.t -> Tree.t -> Tree.t;
- nlabel : string;
- }
-type t = {
- id : int;
- mutable states : Ptset.t;
- init : Ptset.t;
- mutable final : Ptset.t;
- universal : Ptset.t;
- (* Transitions of the Alternating automaton *)
- phi : (state,(TagSet.t*(bool*formula*bool)) list) Hashtbl.t;
- sigma : (dispatch*bool*formula) 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
+ 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
- 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))
-
- 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,f) ->
- pr_st ppf (Ptset.elements qs);
- Format.fprintf ppf ",%s %s " (Tag.to_string t) (if b then "=>" else "->");
- pr_frm ppf f;
- Format.fprintf ppf "(fid=%i) left=" f.fid;
- let (l,ll,_),(r,rr,_) = f.st in
- pr_st ppf (Ptset.elements l);
- Format.fprintf ppf ", ";
- pr_st ppf (Ptset.elements ll);
- Format.fprintf ppf ", right=";
- pr_st ppf (Ptset.elements r);
- Format.fprintf ppf ", ";
- pr_st ppf (Ptset.elements rr);
- Format.fprintf ppf ", first=%s, next=%s\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*TagSet.t*bool*Formula.t*bool
+ include Hcons.Make(struct
+ type t = node
+ let hash (s,ts,m,f,b) = HASHINT5(s,Uid.to_int (TagSet.uid ts),
+ Uid.to_int (Formula.uid f),
+ vb m,vb b)
+ let equal (s,ts,b,f,m) (s',ts',b',f',m') =
+ s == s' && ts == ts' && b==b' && m==m' && f == f'
+ end)
+
+ let print ppf f = let (st,ts,mark,form,b) = node f in
+ Format.fprintf ppf "(%i, " st;
+ TagSet.print ppf ts;
+ Format.fprintf ppf ") %s" (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,label,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)
-
+end
- 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
- | 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
- | _ ->
- try
- HFEval.find hfeval (f.fid,s1,s2)
- with
- | Not_found -> let r =
- match f.pos with
- | 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 fstate_pool = Hashtbl.create 11
-
- let merge_pred a b = match a,b with
- | Some(f1), Some(f2) -> Some(fun x -> f1 x || f2 x)
- | None,None -> None
- | None,Some(_) -> b
- | Some(_),None -> a
-
- let acc_pred p l1 l2 = match p with
- | `Left _ -> p::l1,l2
- | `Right _ -> l1,p::l2
- | _ -> l1,l2
-
-
-
-
- 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 a qs =
- let ts = Ptset.fold (fun q acc -> TagSet.cup acc (tags_of_state a q)) qs TagSet.empty
+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
+
+module Formlistlist =
+struct
+ include Hlist.Make(Formlist)
+ let print ppf fll =
+ iter (fun fl -> Formlist.print ppf fl; Format.pp_print_newline ppf ())fll
+end
+
+type 'a t = {
+ id : int;
+ mutable states : StateSet.t;
+ init : StateSet.t;
+ starstate : StateSet.t option;
+ (* Transitions of the Alternating automaton *)
+ trans : (State.t,(TagSet.t*Transition.t) list) Hashtbl.t;
+ query_string: string;
+ }
+
+
+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(Uid.to_int (Formula.uid f),
+ Uid.to_int (StateSet.uid s),
+ Uid.to_int (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 = Tag.t*Formlist.t*StateSet.t*StateSet.t
+ let equal (tg1,f1,s1,t1) (tg2,f2,s2,t2) =
+ tg1 == tg2 && f1 == f2 && s1 == s2 && t1 == t2;;
+ let hash (tg,f,s,t) =
+ HASHINT4(tg, Uid.to_int (Formlist.uid f),
+ Uid.to_int (StateSet.uid s),
+ Uid.to_int (StateSet.uid t))
+ end)
+
+
+let h_f = FTable.create BIG_H_SIZE
+type merge_conf = NO | ONLY1 | ONLY2 | ONLY12 | MARK | MARK1 | MARK2 | MARK12
+(* 000 001 010 011 100 101 110 111 *)
+let eval_formlist tag s1 s2 fl =
+ let rec loop fl =
+ try
+ FTable.find h_f (tag,fl,s1,s2)
+ with
+ | Not_found ->
+ match Formlist.node fl with
+ | Formlist.Cons(f,fll) ->
+ let q,ts,mark,f,_ = Transition.node f in
+ let b,b1,b2 =
+ if TagSet.mem tag ts then eval_form_bool f s1 s2 else (false,false,false)
+ 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 (tag,fl,s1,s2) r;r
+ | Formlist.Nil -> StateSet.empty,(false,false,false,false)
+ in
+ let r,conf = loop fl
+ in
+ r,(match conf with
+ | (false,_,_,_) -> NO
+ | (_,false,false,false) -> NO
+ | (_,true,false,false) -> ONLY1
+ | (_,false,true,false) -> ONLY2
+ | (_,true,true,false) -> ONLY12
+ | (_,false,false,true) -> MARK
+ | (_,true,false,true) -> MARK1
+ | (_,false,true,true) -> MARK2
+ | _ -> MARK12)
+
+let bool_of_merge conf =
+ match conf with
+ | NO -> false,false,false,false
+ | ONLY1 -> true,true,false,false
+ | ONLY2 -> true,false,true,false
+ | ONLY12 -> true,true,true,false
+ | MARK -> true,false,false,true
+ | MARK1 -> true,true,false,true
+ | MARK2 -> true,false,true,true
+ | MARK12 -> true,true,true,true
+
+
+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.Int.fold (fun q acc -> TagSet.cup acc (tags_of_state a q)) qs TagSet.empty
in
- if TagSet.is_finite ts
+ if TagSet.is_finite ts
then `Positive(TagSet.positive ts)
else `Negative(TagSet.negative ts)
-
-
-
-
- let merge_trans t a tag q acc =
- List.fold_left (fun (accf,accm,acchtrue) (ts,(m,f,pred)) ->
- if TagSet.mem tag ts
- then
- let tmpf,hastrue =
- if is_true f then
- let newfinal =
- try Hashtbl.find fstate_pool f.fid with
- | Not_found -> let s = mk_state() in
- a.states <- Ptset.add s a.states;
- a.final <- Ptset.add s a.final;
- Hashtbl.add fstate_pool f.fid s;s
- in
- (atom_ `Left true newfinal),true
- else f,false in
- (or_ tmpf accf,accm||m,acchtrue||hastrue)
- else (accf,accm,acchtrue)
- ) acc (try Hashtbl.find a.phi q with Not_found -> [])
-
+
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
- let dispatch,mark,f =
- HTagSet.find a.sigma (r,tag)
- in f.st,dispatch,f,mark,r
- with
- Not_found ->
- let f,mark,_,accq =
- Ptset.fold (fun q (accf,accm,acchtrue,accq) ->
- let naccf,naccm,nacctrue =
- merge_trans t a tag q (accf,accm,acchtrue )
- in
- if is_false naccf then (naccf,naccm,nacctrue,accq)
- else (naccf,naccm,nacctrue,Ptset.add q accq)
- )
- r (false_,false,false,Ptset.empty)
- in
- let (ls,lls,_),(rs,rrs,_) = f.st 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 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")
+ | `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 : merge_conf -> elt -> t -> t -> t
+ val mk_quick_tag_loop : (elt -> elt -> 'a*t array) -> 'a -> int -> Tree.t -> Tag.t -> (elt -> elt -> 'a*t array)
+ val mk_quick_star_loop : (elt -> elt -> 'a*t array) -> 'a -> int -> Tree.t -> (elt -> elt -> 'a*t array)
+
+ 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 merge2 conf t res1 res2 =
+ let rb,rb1,rb2,mark = conf in
+ 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
+ let merge conf t res1 res2 =
+ match conf with
+ | NO -> 0
+ | ONLY1 -> res1
+ | ONLY2 -> res2
+ | ONLY12 -> res1+res2
+ | MARK -> 1
+ | MARK1 -> res1+1
+ | MARK2 -> res2+1
+ | MARK12 -> res1+res2+1
+ let merge conf _ res1 res2 =
+ let conf = Obj.magic conf in
+ (conf lsr 2) + ((conf land 0b10) lsr 1)*res2 + (conf land 0b1)*res1
+
+
+ let mk_quick_tag_loop _ sl ss tree tag = ();
+ fun t ctx ->
+ (sl, Array.make ss (Tree.subtree_tags tree tag t))
+ let mk_quick_star_loop _ sl ss tree = ();
+ fun t ctx ->
+ (sl, Array.make ss (Tree.subtree_elements tree t))
+
+ end
+
+ 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 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 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
+ { l with node = loop l.node }
+
+ let merge conf t res1 res2 =
+ match conf with
+ NO -> empty
+ | MARK -> cons t empty
+ | ONLY1 -> res1
+ | ONLY2 -> res2
+ | ONLY12 -> { node = (Concat(res1.node,res2.node));
+ length = res1.length + res2.length ;}
+ | MARK12 -> { node = Cons(t,(Concat(res1.node,res2.node)));
+ length = res1.length + res2.length + 1;}
+ | MARK1 -> { node = Cons(t,res1.node);
+ length = res1.length + 1;}
+ | MARK2 -> { node = Cons(t,res2.node);
+ length = res2.length + 1;}
+
+ let mk_quick_tag_loop f _ _ _ _ = f
+ let mk_quick_star_loop f _ _ _ = f
+ end
+ module GResult(Doc : sig val doc : Tree.t end) = struct
+ type bits
+ type elt = [` Tree] Tree.node
+ external create_empty : int -> bits = "caml_result_set_create" "noalloc"
+ external set : bits -> int -> unit = "caml_result_set_set" "noalloc"
+ external next : bits -> int -> int = "caml_result_set_next" "noalloc"
+ external count : bits -> int = "caml_result_set_count" "noalloc"
+ external clear : bits -> elt -> elt -> unit = "caml_result_set_clear" "noalloc"
+
+ external set_tag_bits : bits -> Tag.t -> Tree.t -> elt -> elt = "caml_set_tag_bits" "noalloc"
+ type t =
+ { segments : elt list;
+ bits : bits;
+ }
+
+ let ebits =
+ let size = (Tree.subtree_size Doc.doc Tree.root) in
+ create_empty (size*2+1)
+
+ let empty = { segments = [];
+ bits = ebits }
+
+ let cons e t =
+ let rec loop l = match l with
+ | [] -> { bits = (set t.bits (Obj.magic e);t.bits);
+ segments = [ e ] }
+ | p::r ->
+ if Tree.is_binary_ancestor Doc.doc e p then
+ loop r
+ else
+ { bits = (set t.bits (Obj.magic e);t.bits);
+ segments = e::l }
+ in
+ loop t.segments
+
+ let concat t1 t2 =
+ if t2.segments == [] then t1
+ else
+ if t1.segments == [] then t2
+ else
+ let h2 = List.hd t2.segments in
+ let rec loop l = match l with
+ | [] -> t2.segments
+ | p::r ->
+ if Tree.is_binary_ancestor Doc.doc p h2 then
+ l
+ else
+ p::(loop r)
+ in
+ { bits = t1.bits;
+ segments = loop t1.segments
+ }
+
+ let iter f t =
+ let rec loop i =
+ if i == -1 then ()
+ else (f ((Obj.magic i):elt);loop (next t.bits i))
+ in loop (next t.bits 0)
+
+ let fold f t acc =
+ let rec loop i acc =
+ if i == -1 then acc
+ else loop (next t.bits i) (f ((Obj.magic i):elt) acc)
+ in loop (next t.bits 0) acc
+
+ let map _ _ = failwith "noop"
+ (*let length t = let cpt = ref 0 in
+ iter (fun _ -> incr cpt) t; !cpt *)
+ let length t = count t.bits
+
+ let clear_bits t =
+ let rec loop l = match l with
+ [] -> ()
+ | idx::ll ->
+ clear t.bits idx (Tree.closing Doc.doc idx); loop ll
+ in
+ loop t.segments;empty
+
+ let merge (rb,rb1,rb2,mark) elt t1 t2 =
+ if rb then
+(* let _ = Printf.eprintf "Lenght before merging is %i %i\n"
+ (List.length t1.segments) (List.length t2.segments)
+ in *)
+ match t1.segments,t2.segments with
+ [],[] -> if mark then cons elt empty else empty
+ | [_],[] when rb1 -> if mark then cons elt t1 else t1
+ | [], [_] when rb2 -> if mark then cons elt t2 else t2
+ | [_],[_] when rb1 && rb2 -> if mark then cons elt empty else
+ concat t1 t2
+ | _ ->
+ let t1 = if rb1 then t1 else clear_bits t1
+ and t2 = if rb2 then t2 else clear_bits t2
+ in
+ (if mark then cons elt (concat t1 t2)
+ else concat t1 t2)
+ else
+ let _ = clear_bits t1 in
+ clear_bits t2
+
+ let merge conf t t1 t2 =
+ match t1.segments,t2.segments,conf with
+ | _,_,NO -> let _ = clear_bits t1 in clear_bits t2
+ | [],[],(MARK1|MARK2|MARK12|MARK) -> cons t empty
+ | [],[],_ -> empty
+ | [_],[],(ONLY1|ONLY12) -> t1
+ | [_],[],(MARK1|MARK12) -> cons t t1
+ | [],[_],(ONLY2|ONLY12) -> t2
+ | [],[_],(MARK2|MARK12) -> cons t t2
+ | [_],[_],ONLY12 -> concat t1 t2
+ | [_],[_],MARK12 -> cons t empty
+ | _,_,MARK -> let _ = clear_bits t2 in cons t (clear_bits t1)
+ | _,_,ONLY1 -> let _ = clear_bits t2 in t1
+ | _,_,ONLY2 -> let _ = clear_bits t1 in t2
+ | _,_,ONLY12 -> concat t1 t2
+ | _,_,MARK1 -> let _ = clear_bits t2 in cons t t1
+ | _,_,MARK2 -> let _ = clear_bits t1 in cons t t2
+ | _,_,MARK12 -> cons t (concat t1 t2)
+
+ let mk_quick_tag_loop _ sl ss tree tag = ();
+ fun t _ ->
+ let res = empty in
+ let first = set_tag_bits empty.bits tag tree t in
+ let res =
+ if first == Tree.nil then res else
+ cons first res
+ in
+ (sl, Array.make ss res)
+
+ let mk_quick_star_loop f _ _ _ = f
+ end
+ module Run (RS : ResultSet) =
+ struct
+
+ module SList = struct
+ include Hlist.Make (StateSet)
+ let print ppf l =
+ Format.fprintf ppf "[ ";
+ begin
+ match l.Node.node with
+ | Nil -> ()
+ | Cons(s,ll) ->
+ StateSet.print ppf s;
+ iter (fun s -> Format.fprintf ppf "; ";
+ StateSet.print ppf s) ll
+ end;
+ Format.fprintf ppf "]%!"
+
+
+ end
+
+
+IFDEF DEBUG
+THEN
+ module IntSet = Set.Make(struct type t = int let compare = (-) end)
+INCLUDE "html_trace.ml"
+
+END
+ module Trace =
+ struct
+ module HFname = Hashtbl.Make (struct
+ type t = Obj.t
+ let hash = Hashtbl.hash
+ let equal = (==)
+ end)
+
+ let h_fname = HFname.create 401
+
+ let register_funname f s =
+ HFname.add h_fname (Obj.repr f) s
+ let get_funname f = try HFname.find h_fname (Obj.repr f) with _ -> "[anon_fun]"
+
+
+
+ let mk_fun f s = register_funname f s;f
+ let mk_app_fun f arg s =
+ let g = f arg in
+ register_funname g ((get_funname f) ^ " " ^ s); g
+ let mk_app_fun2 f arg1 arg2 s =
+ let g = f arg1 arg2 in
+ register_funname g ((get_funname f) ^ " " ^ s); g
+
+ end
+
+ let string_of_ts tags = (Ptset.Int.fold (fun t a -> a ^ " " ^ (Tag.to_string t) ) tags "{")^ " }"
+
+
+ module Algebra =
+ struct
+ type jump = [ `NIL | `ANY |`ANYNOTEXT | `JUMP ]
+ type t = jump*Ptset.Int.t*Ptset.Int.t
+ let jts = function
+ | `JUMP -> "JUMP"
+ | `NIL -> "NIL"
+ | `ANY -> "ANY"
+ | `ANYNOTEXT -> "ANYNOTEXT"
+ let merge_jump (j1,c1,l1) (j2,c2,l2) =
+ match j1,j2 with
+ | _,`NIL -> (j1,c1,l1)
+ | `NIL,_ -> (j2,c2,l2)
+ | `ANY,_ -> (`ANY,Ptset.Int.empty,Ptset.Int.empty)
+ | _,`ANY -> (`ANY,Ptset.Int.empty,Ptset.Int.empty)
+ | `ANYNOTEXT,_ ->
+ if Ptset.Int.mem Tag.pcdata (Ptset.Int.union c2 l2) then
+ (`ANY,Ptset.Int.empty,Ptset.Int.empty)
+ else
+ (`ANYNOTEXT,Ptset.Int.empty,Ptset.Int.empty)
+ | _,`ANYNOTEXT ->
+ if Ptset.Int.mem Tag.pcdata (Ptset.Int.union c1 l1) then
+ (`ANY,Ptset.Int.empty,Ptset.Int.empty)
+ else
+ (`ANYNOTEXT,Ptset.Int.empty,Ptset.Int.empty)
+ | `JUMP,`JUMP -> (`JUMP, Ptset.Int.union c1 c2,Ptset.Int.union l1 l2)
+
+ let merge_jump_list = function
+ | [] -> `NIL,Ptset.Int.empty,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 ((fun (_,_,x) -> x) (access (Formula.st f)))) (Hashtbl.find a.trans s)
+
+ let is_final_marking a s =
+ List.exists (fun (_,t) -> let _,_,m,f,_ = Transition.node t in m&& (Formula.is_true f))
+ (Hashtbl.find a.trans s)
+
+
+ let decide a c_label l_label dir_states dir =
+
+ let l = StateSet.fold
+ (fun s l ->
+ let s_rec = is_rec a s (if dir then fst else snd) in
+ let s_rec = if dir then s_rec else
+ (* right move *)
+ is_rec a s fst
+ in
+ let s_lab = labels a s in
+ let jmp,cc,ll =
+ if (not (TagSet.is_finite s_lab)) then
+ if TagSet.mem Tag.pcdata s_lab then (`ANY,Ptset.Int.empty,Ptset.Int.empty)
+ else (`ANYNOTEXT,Ptset.Int.empty,Ptset.Int.empty)
+ else
+ if s_rec
+ then (`JUMP,Ptset.Int.empty, TagSet.positive
+ (TagSet.cap (TagSet.inj_positive l_label) s_lab))
+ else (`JUMP,TagSet.positive
+ (TagSet.cap (TagSet.inj_positive c_label) s_lab),
+ Ptset.Int.empty )
+ in
+ (if jmp != `ANY
+ && jmp != `ANYNOTEXT
+ && Ptset.Int.is_empty cc
+ && Ptset.Int.is_empty ll
+ then (`NIL,Ptset.Int.empty,Ptset.Int.empty)
+ else (jmp,cc,ll))::l) dir_states []
+ in merge_jump_list l
+
+
+ end
+
+
+
+ let choose_jump (d,cl,ll) f_nil f_t1 f_s1 f_tn f_sn f_s1n f_notext f_maytext =
+ match d with
+ | `NIL -> (`NIL,f_nil)
+ | `ANYNOTEXT -> `ANY,f_notext
+ | `ANY -> `ANY,f_maytext
+ | `JUMP ->
+ if Ptset.Int.is_empty cl then
+ if Ptset.Int.is_singleton ll then
+ let tag = Ptset.Int.choose ll in
+ (`TAG(tag),Trace.mk_app_fun f_tn tag (Tag.to_string tag))
+ else
+ (`MANY(ll),Trace.mk_app_fun f_sn ll (string_of_ts ll))
+ else if Ptset.Int.is_empty ll then
+ if Ptset.Int.is_singleton cl then
+ let tag = Ptset.Int.choose cl in
+ (`TAG(tag),Trace.mk_app_fun f_t1 tag (Tag.to_string tag))
+ else
+ (`MANY(cl),Trace.mk_app_fun f_s1 cl (string_of_ts cl))
+ else
+ (`ANY,Trace.mk_app_fun2 f_s1n cl ll ((string_of_ts cl) ^ " " ^ (string_of_ts ll)))
+
+ | _ -> assert false
+
+ let choose_jump_down tree d =
+ choose_jump d
+ (Trace.mk_fun (fun _ -> Tree.nil) "Tree.mk_nil")
+ (Trace.mk_fun (Tree.tagged_child tree) "Tree.tagged_child")
+ (Trace.mk_fun (Tree.select_child tree) "Tree.select_child")
+ (Trace.mk_fun (Tree.tagged_descendant tree) "Tree.tagged_desc")
+ (Trace.mk_fun (Tree.select_descendant tree) "Tree.select_desc")
+ (Trace.mk_fun (fun _ _ -> Tree.first_child tree) "[FIRSTCHILD]Tree.select_child_desc")
+ (Trace.mk_fun (Tree.first_element tree) "Tree.first_element")
+ (Trace.mk_fun (Tree.first_child tree) "Tree.first_child")
+
+ let choose_jump_next tree d =
+ choose_jump d
+ (Trace.mk_fun (fun _ _ -> Tree.nil) "Tree.mk_nil2")
+ (Trace.mk_fun (Tree.tagged_following_sibling_below tree) "Tree.tagged_sibling_ctx")
+ (Trace.mk_fun (Tree.select_following_sibling_below tree) "Tree.select_sibling_ctx")
+ (Trace.mk_fun (Tree.tagged_following_below tree) "Tree.tagged_foll_ctx")
+ (Trace.mk_fun (Tree.select_following_below tree) "Tree.select_foll_ctx")
+ (Trace.mk_fun (fun _ _ -> Tree.next_sibling_below tree) "[NEXTSIBLING]Tree.select_sibling_foll_ctx")
+ (Trace.mk_fun (Tree.next_element_below tree) "Tree.next_element_ctx")
+ (Trace.mk_fun (Tree.next_sibling_below tree) "Tree.node_sibling_ctx")
+
+
+
+
+ module CodeCache =
+ struct
+ let get = Array.unsafe_get
+ let set = Array.set
+
+ type fun_tree = [`Tree] Tree.node -> [`Tree] Tree.node -> SList.t -> Tag.t -> bool -> SList.t*RS.t array
+ type t = fun_tree array array
+
+ let dummy = fun _ _ _ _ _ -> failwith "Uninitializd CodeCache"
+ let default_line = Array.create 1024 dummy (* 1024 = max_tag *)
+ let create n = Array.create n default_line
+ let init f =
+ for i = 0 to (Array.length default_line) - 1
+ do
+ default_line.(i) <- f
+ done
+
+ let get_fun h slist tag =
+ get (get h (Uid.to_int slist.SList.Node.id)) tag
+
+ let set_fun (h : t) slist tag (data : fun_tree) =
+ let tab = get h (Uid.to_int slist.SList.Node.id) in
+ let line = if tab == default_line then
+ let x = Array.copy tab in
+ (set h (Uid.to_int slist.SList.Node.id) x;x)
+ else tab
+ in
+ set line tag data
+
+ end
+
+ 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
+
+
+ module Fold2Res = struct
+ let get = Array.unsafe_get
+ let set = Array.set
+ external field1 : Obj.t -> int = "%field1"
+ type t = Obj.t array array array array
+ let dummy_val = Obj.repr ((),2,())
+
+ let default_line3 = Array.create BIG_A_SIZE dummy_val
+ let default_line2 = Array.create BIG_A_SIZE default_line3
+ let default_line1 = Array.create BIG_A_SIZE default_line2
+
+ let create n = Array.create n default_line1
+
+ let find h tag fl s1 s2 : SList.t*bool*(merge_conf array) =
+ let l1 = get h tag in
+ let l2 = get l1 (Uid.to_int fl.Formlistlist.Node.id) in
+ let l3 = get l2 (Uid.to_int s1.SList.Node.id) in
+ Obj.magic (get l3 (Uid.to_int s2.SList.Node.id))
+
+ let is_valid b = (Obj.magic b) != 2
+ let get_replace tab idx default =
+ let e = get tab idx in
+ if e == default then
+ let ne = Array.copy e in (set tab idx ne;ne)
+ else e
+
+ let add h tag fl s1 s2 (data: SList.t*bool*(merge_conf array)) =
+ let l1 = get_replace h tag default_line1 in
+ let l2 = get_replace l1 (Uid.to_int fl.Formlistlist.Node.id) default_line2 in
+ let l3 = get_replace l2 (Uid.to_int s1.SList.Node.id) default_line3 in
+ set l3 (Uid.to_int s2.SList.Node.id) (Obj.repr data)
+ end
+
+
+
+
+ let top_down ?(noright=false) a tree t slist ctx slot_size td_trans h_fold2=
+ let pempty = empty_size slot_size in
+ let rempty = Array.make slot_size RS.empty in
+ (* evaluation starts from the right so we put sl1,res1 at the end *)
+ let eval_fold2_slist fll t tag (sl2,res2) (sl1,res1) =
+ let res = Array.copy rempty in
+ let r,b,btab = Fold2Res.find h_fold2 tag fll sl1 sl2 in
+ if Fold2Res.is_valid b then
+ begin
+ if b then for i=0 to slot_size - 1 do
+ res.(0) <- RS.merge btab.(0) t res1.(0) res2.(0);
+ done;
+ r,res
+ end
+ else
+ begin
+ let btab = Array.make slot_size NO in
+ let rec fold l1 l2 fll i aq ab =
+ match fll.Formlistlist.Node.node,
+ l1.SList.Node.node,
+ l2.SList.Node.node
+ with
+ | Formlistlist.Cons(fl,fll),
+ SList.Cons(s1,ll1),
+ SList.Cons(s2,ll2) ->
+ let r',conf = eval_formlist tag s1 s2 fl in
+ let _ = btab.(i) <- conf
+ in
+ fold ll1 ll2 fll (i+1) (SList.cons r' aq) ((conf!=NO)||ab)
+ | _ -> aq,ab
in
- let dispatch = { first = first; flabel = flabel; next = next; nlabel = nlabel}
- in
- HTagSet.add a.sigma (accq,tag) (dispatch,mark,f);
- f.st,dispatch,f,mark,accq
-
- let rec accepting_among a t orig ctx =
- let rest = Ptset.inter orig a.universal in
- let r = Ptset.diff orig rest in
- if Ptset.is_empty r then rest,0,TS.empty else
- if Tree.is_nil t
- then orig,0,TS.empty
- else
- let ((_,_,llls),(_,_,rrrs)),dispatch,formula,mark,r' =
- get_trans t a (Tree.tag t) r
+ let r,b = fold sl1 sl2 fll 0 SList.nil false in
+ Fold2Res.add h_fold2 tag fll sl1 sl2 (r,b,btab);
+ if b then for i=0 to slot_size - 1 do
+ res.(i) <- RS.merge btab.(i) t res1.(i) res2.(i);
+ done;
+ r,res;
+ end
+ in
+
+ let null_result = (pempty,Array.copy rempty) in
+ let empty_res = null_result in
+
+ let rec loop t ctx slist _ =
+ if t == Tree.nil then null_result else
+ let tag = Tree.tag tree t in
+ (CodeCache.get_fun td_trans slist tag) t ctx slist tag false
+ (* get_trans t ctx slist tag false
+ (CodeCache.get_opcode td_trans slist tag)
+ *)
+ and loop_tag t ctx slist tag =
+ if t == Tree.nil then null_result else
+ (CodeCache.get_fun td_trans slist tag) t ctx slist tag false
+ (* get_trans t ctx slist tag false
+ (CodeCache.get_opcode td_trans slist tag) *)
+
+ and loop_no_right t ctx slist _ =
+ if t == Tree.nil then null_result else
+ let tag = Tree.tag tree t in
+ (CodeCache.get_fun td_trans slist tag) t ctx slist tag true
+ (* get_trans t ctx slist tag true
+ (CodeCache.get_opcode td_trans slist tag) *)
+ (*
+ and get_trans t ctx slist tag noright opcode =
+ match opcode with
+ | OpCode.K0 fll ->
+ eval_fold2_slist fll t tag empty_res empty_res
+
+ | OpCode.K1 (fll,first,llist,tag1) ->
+ eval_fold2_slist fll t tag empty_res
+ (loop_tag (first t) t llist tag1)
+
+ | OpCode.K2 (fll,first,llist) ->
+ eval_fold2_slist fll t tag empty_res
+ (loop (first t) t llist)
+
+ | OpCode.K3 (fll,next,rlist,tag2) ->
+ eval_fold2_slist fll t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ empty_res
+ | OpCode.K4 (fll,next,rlist) ->
+ eval_fold2_slist fll t tag
+ (loop (next t ctx) ctx rlist)
+ empty_res
+
+ | OpCode.K5 (fll,next,rlist,tag2,first,llist,tag1) ->
+ eval_fold2_slist fll t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ (loop_tag (first t) t llist tag1)
+
+ | OpCode.K6 (fll,next,rlist,first,llist,tag1) ->
+ eval_fold2_slist fll t tag
+ (loop (next t ctx) ctx rlist)
+ (loop_tag (first t) t llist tag1)
+
+ | OpCode.K7 (fll,next,rlist,tag2,first,llist) ->
+ eval_fold2_slist fll t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ (loop (first t) t llist)
+
+ | OpCode.K8 (fll,next,rlist,first,llist) ->
+ eval_fold2_slist fll t tag
+ (loop (next t ctx) ctx rlist)
+ (loop (first t) t llist)
+
+ | OpCode.KDefault _ ->
+ mk_trans t ctx tag slist noright
+ *)
+ and mk_trans t ctx slist tag noright =
+ 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,_ = t.Transition.node 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 (Formlistlist.cons fl fll_acc), (SList.cons ll lllacc), (SList.cons rr rllacc),ca,da,sa,fa)
+ slist (Formlistlist.nil,SList.nil,SList.nil,StateSet.empty,StateSet.empty,StateSet.empty,StateSet.empty)
+ in
+ (* Logic to chose the first and next function *)
+ let tags_child,tags_below,tags_siblings,tags_after = Tree.tags tree tag in
+ let d_f = Algebra.decide a tags_child tags_below (StateSet.union ca da) true in
+ let d_n = Algebra.decide a tags_siblings tags_after (StateSet.union sa fa) false in
+ let f_kind,first = choose_jump_down tree d_f
+ and n_kind,next = if noright then (`NIL, fun _ _ -> Tree.nil )
+ else choose_jump_next tree d_n in
+ let empty_res = null_result in
+ let fll = fl_list in
+ let cont =
+ match f_kind,n_kind with
+ | `NIL,`NIL -> (*OpCode.K0(fl_list) *)
+ fun t _ _ tag _ -> eval_fold2_slist fll t tag empty_res empty_res
+
+ | _,`NIL -> (
+ match f_kind with
+ |`TAG(tag1) -> (*OpCode.K1(fl_list,first,llist,tag1) *)
+ fun t _ _ tag _ -> eval_fold2_slist fll t tag empty_res
+ (loop_tag (first t) t llist tag1)
+ | _ -> (* OpCode.K2(fl_list,first,llist) *)
+ fun t _ _ tag _ -> eval_fold2_slist fll t tag empty_res
+ (loop (first t) t llist tag)
+ )
+ | `NIL,_ -> (
+ match n_kind with
+ |`TAG(tag2) -> (*OpCode.K3(fl_list,next,rlist,tag2) *)
+ fun t ctx _ tag _ ->
+ eval_fold2_slist fll t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ empty_res
+
+ | _ -> (*OpCode.K4(fl_list,next,rlist) *)
+ fun t ctx _ tag _ ->
+ eval_fold2_slist fll t tag
+ (loop (next t ctx) ctx rlist tag)
+ empty_res
+
+ )
+
+ | `TAG(tag1),`TAG(tag2) -> (*OpCode.K5(fl_list,next,rlist,tag2,first,llist,tag1) *)
+ fun t ctx _ tag _ ->
+ eval_fold2_slist fll t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ (loop_tag (first t) t llist tag1)
+
+ | `TAG(tag1),`ANY -> (* OpCode.K6(fl_list,next,rlist,first,llist,tag1) *)
+ fun t ctx _ tag _ ->
+ eval_fold2_slist fll t tag
+ (loop (next t ctx) ctx rlist tag)
+ (loop_tag (first t) t llist tag1)
+
+ | `ANY,`TAG(tag2) -> (* OpCode.K7(fl_list,next,rlist,tag2,first,llist) *)
+ fun t ctx _ tag _ ->
+ eval_fold2_slist fll t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ (loop (first t) t llist tag)
+
+
+ | _,_ -> (*OpCode.K8(fl_list,next,rlist,first,llist) *)
+ (*if SList.equal slist rlist && SList.equal slist llist
+ then
+ let rec loop t ctx =
+ if t == Tree.nil then empty_res else
+ let r1 = loop (first t) t
+ and r2 = loop (next t ctx) ctx
+ in
+ eval_fold2_slist fl_list t (Tree.tag tree t) r2 r1
+ in loop
+ else *)
+ fun t ctx _ tag _ ->
+ eval_fold2_slist fll t tag
+ (loop (next t ctx) ctx rlist tag)
+ (loop (first t) t llist tag)
+
+
+
+ in
+ CodeCache.set_fun td_trans slist tag cont;
+ cont t ctx slist tag noright
+ in
+ let _ = CodeCache.init mk_trans in
+ (if noright then loop_no_right else loop) t ctx slist Tag.dummy
+
+
+ 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 (CodeCache.create BIG_A_SIZE) (Fold2Res.create 1024)
+ 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 Code3Cache =
+ struct
+ let get = Array.get
+ let set = Array.set
+ let realloc a new_size default =
+ let old_size = Array.length a in
+ if old_size == new_size then a
+ else if new_size == 0 then [||]
+ else let na = Array.create new_size default in
+ Array.blit a 0 na 0 old_size;na
+
+ type fun_tree = [`Tree] Tree.node -> [`Tree] Tree.node -> StateSet.t -> Tag.t -> StateSet.t*RS.t
+ and t = { mutable table : fun_tree array array;
+ mutable default_elm : fun_tree;
+ mutable default_line : fun_tree array;
+ (* statistics *)
+ mutable access : int;
+ mutable miss : int;
+ }
+
+
+ let create () =
+ { table = [||];
+ default_elm = (fun _ _ _ _ -> failwith "Uninitialized Code3Cache.t structure\n");
+ default_line = [||];
+ access = 0;
+ miss = 0 }
+
+ let init h f =
+ let default_line = Array.create SMALL_A_SIZE f in
+ begin
+ h.table <- Array.create SMALL_A_SIZE default_line;
+ h.default_elm <- f;
+ h.default_line <- default_line;
+ h.access <- 0;
+ h.miss <- 0
+ end
+
+ let next_power_of_2 n =
+ let rec loop i acc =
+ if acc == 0 then i
+ else loop (i+1) (acc lsr 1)
+ in
+ 1 lsl (loop 0 n)
+
+ let get_fun h slist tag =
+ let _ = h.access <- h.access + 1 in
+ let idx = Uid.to_int slist.StateSet.Node.id in
+ let line =
+ if idx >= Array.length h.table then
+ let new_tab = realloc h.table (next_power_of_2 idx) h.default_line in
+ let _ = h.miss <- h.miss + 1; h.table <- new_tab in h.default_line
+ else Array.unsafe_get h.table idx
+ in
+ if tag >= Array.length line then
+ let new_line = realloc line (next_power_of_2 tag) h.default_elm in
+ let _ = h.miss <- h.miss + 1; Array.unsafe_set h.table idx new_line in h.default_elm
+ else Array.unsafe_get line tag
+
+ let set_fun (h : t) slist tag (data : fun_tree) =
+ let idx = Uid.to_int slist.StateSet.Node.id in
+ let line =
+ if idx >= Array.length h.table then
+ let new_tab = realloc h.table (next_power_of_2 idx) h.default_line in
+ let _ = h.table <- new_tab in h.default_line
+ else Array.unsafe_get h.table idx
+ in
+ let line = if line == h.default_line then
+ let l = Array.copy line in Array.unsafe_set h.table idx l;l
+ else line in
+ let line = if tag >= Array.length line then
+ let new_line = realloc line (next_power_of_2 tag) h.default_elm in
+ let _ = Array.unsafe_set h.table idx new_line in new_line
+ else line
+ in
+ Array.unsafe_set line tag data
+
+
+ let dump h = Array.iteri
+ (fun id line -> if line != h.default_line then
+ begin
+ StateSet.print Format.err_formatter (StateSet.with_id (Uid.of_int id));
+ Format.fprintf Format.err_formatter " -> ";
+ Array.iteri (fun tag clos ->
+ if clos != h.default_elm then
+ Format.fprintf Format.err_formatter " (%s,%s) "
+ (Tag.to_string tag) (Trace.get_funname clos)) line;
+ Format.fprintf Format.err_formatter "\n%!"
+ end
+ ) h.table;
+ Format.fprintf Format.err_formatter "Cache hits: %i, Cache misses: %i, ratio = %f\n%!"
+ h.access h.miss ((float_of_int h.miss)/. (float_of_int h.access));
+ Format.fprintf Format.err_formatter "Size: %i kb\n%!"
+ (((2+(Array.length h.default_line)+
+ (Array.fold_left (fun acc l ->acc + (if l == h.default_line then 0 else Array.length l))
+ (Array.length h.table) h.table)) * Sys.word_size) / 1024)
+
+ end
+
+ module StaticEnv =
+ struct
+
+ type t = { stack : Obj.t array;
+ mutable top : int; }
+
+ let create () = { stack = Array.create BIG_A_SIZE (Obj.repr 0); top = 0 }
+ let add t e =
+ let _ = if t.top >= Array.length t.stack then failwith "Static Env overflow" in
+ let i = t.top in Array.unsafe_set t.stack i e; t.top <- i + 1; i
+
+ let get t i :'a = Obj.magic (Array.unsafe_get t.stack i)
+ end
+
+ module Fold3Res = struct
+ let get = Array.unsafe_get
+ let set = Array.set
+ external field1 : Obj.t -> int = "%field1"
+ type t = Obj.t array array array array
+ let dummy_val = Obj.repr ((),2,())
+
+ let default_line3 = Array.create 1024 dummy_val
+ let default_line2 = Array.create BIG_A_SIZE default_line3
+ let default_line1 = Array.create BIG_A_SIZE default_line2
+
+ let create n = Array.create n default_line1
+
+ let find h tag fl s1 s2 : StateSet.t*bool*merge_conf =
+ let l1 = get h (Uid.to_int fl.Formlist.Node.id) in
+ let l2 = get l1 (Uid.to_int s1.StateSet.Node.id) in
+ let l3 = get l2 (Uid.to_int s2.StateSet.Node.id) in
+ Obj.magic (get l3 tag)
+
+ let is_valid b = b != (Obj.magic dummy_val)
+ let get_replace tab idx default =
+ let e = get tab idx in
+ if e == default then
+ let ne = Array.copy e in (set tab idx ne;ne)
+ else e
+
+ let add h tag fl s1 s2 (data: StateSet.t*bool*merge_conf) =
+ let l1 = get_replace h (Uid.to_int fl.Formlist.Node.id) default_line1 in
+ let l2 = get_replace l1 (Uid.to_int s1.StateSet.Node.id) default_line2 in
+ let l3 = get_replace l2 (Uid.to_int s2.StateSet.Node.id) default_line3 in
+ set l3 tag (Obj.repr data)
+ end
+
+
+ let empty_res = StateSet.empty,RS.empty
+
+ let top_down1 a tree t slist ctx td_trans h_fold2 =
+ (* evaluation starts from the right so we put sl1,res1 at the end *)
+ let env = StaticEnv.create () in
+ let slist_reg = ref StateSet.empty in
+ let eval_fold2_slist fll t tag (sl2,res2) (sl1,res1) =
+ let data = Fold3Res.find h_fold2 tag fll sl1 sl2 in
+ if Fold3Res.is_valid data then
+ let r,b,conf = data in
+ (r,if b then RS.merge conf t res1 res2 else RS.empty)
+ else
+ let r,conf = eval_formlist tag sl1 sl2 fll in
+ let b = conf <> NO in
+ (Fold3Res.add h_fold2 tag fll sl1 sl2 (r,b,conf);
+ (r, if b then RS.merge conf t res1 res2 else RS.empty))
+
+ in
+ let loop t ctx slist _ =
+ if t == Tree.nil then empty_res else
+ let tag = Tree.tag tree t in
+ (Code3Cache.get_fun td_trans slist tag) t ctx slist tag
+
+ in
+ let loop_tag t ctx slist tag =
+ if t == Tree.nil then empty_res else
+ (Code3Cache.get_fun td_trans slist tag) t ctx slist tag
+
+ in
+ let mk_trans t ctx slist tag =
+ let fl_list,llist,rlist,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,_ = t.Transition.node 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;[]
+ )
+
+ ) slist (Formlist.nil,StateSet.empty,StateSet.empty,
+ StateSet.empty,StateSet.empty,StateSet.empty,StateSet.empty)
+
+ in
+ (* Logic to chose the first and next function *)
+ let tags_child,tags_below,tags_siblings,tags_after = Tree.tags tree tag in
+ let d_f = Algebra.decide a tags_child tags_below (StateSet.union ca da) true in
+ let d_n = Algebra.decide a tags_siblings tags_after (StateSet.union sa fa) false in
+ let f_kind,first = choose_jump_down tree d_f
+ and n_kind,next = choose_jump_next tree d_n in
+ (*let f_kind, first = `ANY, (Tree.first_element tree)
+ and n_kind, next = `ANY, (Tree.next_element_below tree) in *)
+ let cont =
+ match f_kind,n_kind with
+ | `NIL,`NIL ->
+ fun t _ _ tag -> eval_fold2_slist fl_list t tag empty_res empty_res
+
+ | _,`NIL -> (
+ match f_kind with
+ |`TAG(tag1) ->
+ (fun t _ _ tag -> eval_fold2_slist fl_list t tag empty_res
+ (loop_tag (first t) t llist tag1))
+ | _ ->
+ fun t _ _ tag -> eval_fold2_slist fl_list t tag empty_res
+ (loop (first t) t llist tag)
+ )
+ | `NIL,_ -> (
+ match n_kind with
+ |`TAG(tag2) ->
+ fun t ctx _ tag ->
+ eval_fold2_slist fl_list t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ empty_res
+
+ | _ ->
+ fun t ctx _ tag ->
+ eval_fold2_slist fl_list t tag
+ (loop (next t ctx) ctx rlist tag)
+ empty_res
+
+ )
+
+ | `TAG(tag1),`TAG(tag2) ->
+ fun t ctx _ tag ->
+ eval_fold2_slist fl_list t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ (loop_tag (first t) t llist tag1)
+
+ | `TAG(tag1),`ANY ->
+ fun t ctx _ tag ->
+ eval_fold2_slist fl_list t tag
+ (loop (next t ctx) ctx rlist tag)
+ (loop_tag (first t) t llist tag1)
+
+ | `ANY,`TAG(tag2) ->
+ fun t ctx _ tag ->
+ eval_fold2_slist fl_list t tag
+ (loop_tag (next t ctx) ctx rlist tag2)
+ (loop (first t) t llist tag)
+
+
+ | _,_ ->
+ fun t ctx _ tag ->
+ eval_fold2_slist fl_list t tag
+ (loop (next t ctx) ctx rlist tag)
+ (loop (first t) t llist tag)
+
+
+
+ in
+ let _ = Trace.register_funname cont
+ (Printf.sprintf "{first=%s, next=%s}" (Trace.get_funname first) (Trace.get_funname next))
+ in
+ Code3Cache.set_fun td_trans slist tag cont;
+ cont
+ in
+ let cache_take_trans t ctx slist tag =
+ let cont = mk_trans t ctx slist tag in
+ cont t ctx slist tag
+ in
+ Code3Cache.init td_trans (cache_take_trans);
+ loop t ctx slist Tag.dummy
+
+
+ let run_top_down1 a tree =
+ let code_cache = Code3Cache.create () in
+ let fold_cache = Fold3Res.create BIG_A_SIZE in
+ let _,res = top_down1 a tree Tree.root a.init Tree.root code_cache fold_cache
+ in
+(* Code3Cache.dump code_cache; *)
+ res
+
+
+ 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,Uid.to_int s.StateSet.Node.id);
+ sets = Ptss.add s c.sets;
+ results = IMap.add s r c.results
+ }
+
+ 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 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 rb,rb1,rb2 = eval_form_bool formula s1 s2 in
- if rb
- then
- let n1,res1 = if rb1 then n1,res1 else 0,TS.empty
- and n2,res2 = if rb2 then n2,res2 else 0,TS.empty
- in
- if mark
- then r',1+n1+n2,TS.Cons(t,(TS.Concat(res1,res2)))
- else r',n1+n2,TS.Concat(res1,res2)
- else Ptset.empty,0,TS.empty
-
-
- let rec accepting_among_count a t orig ctx =
- let rest = Ptset.inter orig a.universal in
- let r = Ptset.diff orig rest in
- if Ptset.is_empty r then rest,0 else
- if Tree.is_node t
- then
- let ((_,_,llls),(_,_,rrrs)),dispatch,formula,mark,r' =
- get_trans t a (Tree.tag t) r
+ 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 s1,res1 = accepting_among_count a (dispatch.first t) llls t
- and s2,res2 = accepting_among_count a (dispatch.next t ctx) rrrs ctx
+ let h,s =
+ Ptss.fold
+ (fun s (ah,ass) -> (HASHINT2(ah, Uid.to_int s.StateSet.Node.id ),
+ Ptss.add s ass))
+ (Ptss.union c1.sets c2.sets) (0,Ptss.empty)
in
- let rb,rb1,rb2 = eval_form_bool formula s1 s2 in
- if rb
- then
- let res1 = if rb1 then res1 else 0
- and res2 = if rb2 then res2 else 0
- in r', if mark then 1+res1+res2 else res1+res2
- else Ptset.empty,0
- else orig,0
+ { hash = h;
+ sets =s;
+ results = imap }
+
+ end
+
+ let h_fold = Hashtbl.create 511
+
+ let fold_f_conf tree t slist fl_list conf dir=
+ let tag = Tree.tag tree t in
+ let rec loop sl fl acc =
+ match SList.node sl,fl with
+ |SList.Nil,[] -> acc
+ |SList.Cons(s,sll), formlist::fll ->
+ let r',mcnf =
+ 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 tag s StateSet.empty formlist
+ else eval_formlist tag StateSet.empty s formlist
+ in (Hashtbl.add h_fold key res;res)
+ in
+ let (rb,rb1,rb2,mark) = bool_of_merge mcnf 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(Uid.to_int slist.SList.Node.id ,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 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 tree parent slist fl_list conf dir in
+ let accu,newconf = Configuration.IMap.fold (fun s res (ar,nc) ->
+ if StateSet.intersect s init then
+ ( RS.concat res ar ,nc)
+ else (ar,Configuration.add nc s res))
+ (newconf.Configuration.results) (accu,Configuration.empty)
+ in
-
- 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
+ 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 StateSet.add q acc
+ else acc) a.trans StateSet.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 (CodeCache.create BIG_A_SIZE) (Fold2Res.create 1024) in
+ let set = match SList.node set with
+ | SList.Cons(x,_) ->x
+ | _ -> assert false
+ in
+ Configuration.add Configuration.empty set res.(0)
- let run_count a t =
- let st,res = accepting_among_count a t a.init t in
- if Ptset.is_empty (st) then 0 else res
-
- let run_time _ _ = failwith "blah"
+ 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_descendant tree tag t, let jump = Tree.tagged_following_below 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_count1 a t = let module RI = Run(Integer) in Integer.length (RI.run_top_down1 a t)
+ let top_down a t = let module RI = Run(IdSet) in (RI.run_top_down a t)
+ let top_down1 a t = let module RI = Run(IdSet) in (RI.run_top_down1 a t)
+ let bottom_up_count a t k = let module RI = Run(Integer) in Integer.length (RI.run_bottom_up a t k)
+ let bottom_up a t k = let module RI = Run(IdSet) in (RI.run_bottom_up a t k)
+ module Test (Doc : sig val doc : Tree.t end) =
+ struct
+ module Results = GResult(Doc)
+ let top_down a t = let module R = Run(Results) in (R.run_top_down a t)
+ let top_down1 a t = let module R = Run(Results) in (R.run_top_down1 a t)
+ end
-(*
- end
-*)