(***********************************************************************)
(* *)
-(* Lucca Hirschi, ? *)
-(* ? *)
+(* TAToo *)
+(* *)
+(* Lucca Hirschi, LRI UMR8623 *)
+(* Université Paris-Sud & CNRS *)
(* *)
(* Copyright 2010-2012 Université Paris-Sud and Centre National de la *)
(* Recherche Scientifique. All rights reserved. This file is *)
struct
type t = int
let hash n = n
- let compare n1 n2 = n1 - n2
- let equal n1 n2 = n1 = n2
+ let compare = (-)
+ let equal = (=)
end
module NodeHash = Hashtbl.Make (Node)
type t = (StateSet.t*StateSet.t) NodeHash.t
-(** Map from node to query and recognizing states *)
-(* Note that we do not consider the nil nodes *)
+(** Map from nodes to query and recognizing states *)
+(* Note that we do not consider nil nodes *)
+
+exception Oracle_fail
+exception Over_max_fail
+exception Max_fail
+
+(* Mapped sets for leaves *)
+let map_leaf asta = (Asta.bot_states_s asta, StateSet.empty)
(* Build the Oracle *)
let rec bu_oracle asta run tree tnode =
- let init_set node =
- let set = (StateSet.empty,StateSet.empty) in
- NodeHash.add run node set
- and node = Tree.preorder tree tnode in
- if (Tree.is_leaf tree tnode)
+ let node = Tree.preorder tree tnode in
+ if Tree.is_leaf tree tnode
then
- if not (tnode == Tree.nil)
- then
- init_set node
- else ()
+ if tnode == Tree.nil
+ then ()
+ else NodeHash.add run node (map_leaf asta)
else
+ let tfnode = Tree.first_child_x tree tnode
+ and tnnode = Tree.next_sibling tree tnode in
+ let fnode,nnode = (* their preorders *)
+ (Tree.preorder tree tfnode, Tree.preorder tree tnnode) in
begin
- bu_oracle asta run tree (Tree.first_child tree tnode);
- bu_oracle asta run tree (Tree.next_sibling tree tnode);
- ();
+ bu_oracle asta run tree tfnode;
+ bu_oracle asta run tree tnnode;
+ let q_rec n = (* compute the set for child/sibling *)
+ try NodeHash.find run n
+ with Not_found -> map_leaf asta in
+ let (_,qfr),(_,qnr) = q_rec fnode,q_rec nnode (* computed in rec call *)
+ and lab = Tree.tag tree tnode in
+ let _,list_tr = Asta.transitions_lab asta lab in (* only reco. tran.*)
+ let rec result set flag = function (* add states which satisfy a transition *)
+ | [] -> set,flag
+ | (q,form) :: tl ->
+ if Formula.eval_form (set,qfr,qnr) form (* evaluates the formula*)
+ then
+ if StateSet.mem q set
+ then result set 0 tl
+ else result (StateSet.add q set) 1 tl
+ else result set 0 tl in
+ let rec fix_point set_i = (* compute the fixed point of states of node *)
+ let set,flag = result set_i 0 list_tr in
+ if flag = 0 then set
+ else fix_point set in
+ NodeHash.add run node (StateSet.empty, fix_point StateSet.empty)
end
-
+
(* Build the over-approx. of the maximal run *)
-let rec bu_over_max asta run tree node =
- ()
+let rec bu_over_max asta run tree tnode =
+ if (Tree.is_leaf tree tnode) (* BU_oracle has already created the map *)
+ then
+ ()
+ else
+ let tfnode = Tree.first_child_x tree tnode
+ and tnnode = Tree.next_sibling tree tnode in
+ begin
+ bu_over_max asta run tree tfnode;
+ bu_over_max asta run tree tnnode;
+ let (fnode,nnode) =
+ (Tree.preorder tree tfnode, Tree.preorder tree tnnode)
+ and node = Tree.preorder tree tnode in
+ let q_rec n =
+ try NodeHash.find run n
+ with Not_found -> map_leaf asta in
+ let qf,qn = q_rec fnode,q_rec nnode in
+ let lab = Tree.tag tree tnode in
+ let list_tr,_ = Asta.transitions_lab asta lab (* only take query st. *)
+ and _,resultr = try NodeHash.find run node
+ with _ -> raise Over_max_fail in
+ let rec result set flag = function
+ | [] -> if flag = 0 then set else result set 0 list_tr
+ | (q,form) :: tl ->
+ if StateSet.mem q set
+ then result set 0 tl
+ else if Formula.infer_form (set,resultr) qf qn form
+ then result (StateSet.add q set) 1 tl
+ else result set 0 tl in
+ let result_set = result StateSet.empty 0 list_tr in
+ (* we keep the old recognizing states set *)
+ NodeHash.replace run node (result_set, resultr)
+ end
+
(* Build the maximal run *)
-let rec tp_max asta run tree node =
- ()
+let rec tp_max asta run tree tnode =
+ if (Tree.is_leaf tree tnode) (* BU_oracle has already created the map *)
+ then
+ ()
+ else
+ let node = Tree.preorder tree tnode
+ and tfnode = Tree.first_child_x tree tnode
+ and tnnode = Tree.next_sibling tree tnode in
+ let (fnode,nnode) =
+ (Tree.preorder tree tfnode, Tree.preorder tree tnnode) in
+ begin
+ if tnode == Tree.root tree (* we must intersect with top states *)
+ then let setq,_ = try NodeHash.find run node
+ with _ -> raise Max_fail in
+ NodeHash.replace run node
+ ((StateSet.inter (Asta.top_states_s asta) setq),StateSet.empty)
+ else ();
+ let q_rec n =
+ try NodeHash.find run n
+ with Not_found -> map_leaf asta in
+ let qf,qn = q_rec fnode,q_rec nnode in
+ let lab = Tree.tag tree tnode in
+ let list_tr,_ = Asta.transitions_lab asta lab in (* only take query. *)
+ let (self_q,self_r) = try NodeHash.find run node
+ with Not_found -> raise Max_fail in
+ (* We must compute again accepting states from self transitions since
+ previous calls of tp_max may remove them *)
+ let rec result_q self_q queue = function (* for initializing the queue *)
+ | [] -> self_q,queue
+ | (q,form) :: tl ->
+ if (StateSet.mem q self_q)
+ then begin
+ let q_cand,_,_ = Formula.st form in
+ StateSet.iter (fun x -> Queue.push x queue) q_cand;
+ result_q (StateSet.add q self_q) queue tl;
+ end
+ else result_q self_q queue tl
+ and result_st_q self_q queue flag = function (*for computing the fixed p*)
+ | [] -> flag,queue
+ | form :: tl ->
+ if Formula.infer_form (self_q,self_r) qf qn form
+ then begin
+ let q_cand,_,_ = Formula.st form in
+ StateSet.iter (fun x -> Queue.push x queue) q_cand;
+ result_st_q self_q queue 1 tl;
+ end
+ else result_st_q self_q queue flag tl in
+ let rec comp_acc_self self_q_i queue = (* compute the fixed point *)
+ if Queue.is_empty queue
+ then self_q_i
+ else
+ let q = Queue.pop queue in
+ let list_q,_ = Asta.transitions_st_lab asta q lab in
+ let flag,queue = result_st_q self_q_i queue 0 list_q in
+ let self_q = if flag = 1 then StateSet.add q self_q_i else self_q_i in
+ comp_acc_self self_q queue in
+
+ let self,queue_init = result_q self_q (Queue.create()) list_tr in
+ let self_q = comp_acc_self self_q queue_init in
+ NodeHash.replace run node (self_q,self_r);
+ (* From now, the correct set of states is mapped to node! *)
+ let rec result = function
+ | [] -> []
+ | (q,form) :: tl ->
+ if (StateSet.mem q self) && (* infers & trans. can start here *)
+ (Formula.infer_form (self_q,self_r) qf qn form)
+ then form :: (result tl)
+ else result tl in
+ let list_form = result list_tr in (* tran. candidates *)
+ (* compute states occuring in transition candidates *)
+ let rec add_st (ql,qr) = function
+ | [] -> ql,qr
+ | f :: tl -> let sqs,sql,sqr = Formula.st f in
+ let ql' = StateSet.union sql ql
+ and qr' = StateSet.union sqr qr in
+ add_st (ql',qr') tl in
+ let ql,qr = add_st (StateSet.empty, StateSet.empty) list_form in
+ let qfq,qfr = try NodeHash.find run fnode
+ with | _ -> map_leaf asta
+ and qnq,qnr = try NodeHash.find run nnode
+ with | _ -> map_leaf asta in
+ begin
+ if tfnode == Tree.nil || Tree.is_attribute tree tnode
+ then ()
+ else NodeHash.replace run fnode (StateSet.inter qfq ql,qfr);
+ if tnnode == Tree.nil || Tree.is_attribute tree tnode
+ then ()
+ else NodeHash.replace run nnode (StateSet.inter qnq qr,qnr);
+ (* indeed we delete all states from self transitions! *)
+ tp_max asta run tree tfnode;
+ tp_max asta run tree tnnode;
+ end;
+ end
+
let compute tree asta =
- let size_tree = 10000 in (* todo *)
+ let flag = 2 in (* debug *)
+ let size_tree = 10000 in (* todo (Tree.size ?) *)
let map = NodeHash.create size_tree in
bu_oracle asta map tree (Tree.root tree);
- bu_over_max asta map tree (Tree.root tree);
- tp_max asta map tree (Tree.root tree);
+ if flag > 0 then begin
+ bu_over_max asta map tree (Tree.root tree);
+ if flag = 2
+ then
+ tp_max asta map tree (Tree.root tree)
+ else ()
+ end
+ else ();
map
+let selected_nodes tree asta =
+ let run = compute tree asta in
+ NodeHash.fold
+ (fun key set acc ->
+ if not(StateSet.is_empty
+ (StateSet.inter (fst set) (Asta.selec_states asta)))
+ then key :: acc
+ else acc)
+ run []
+
let print fmt run =
- let print_d_set fmt (s_1,s_2) =
- Format.fprintf fmt "@[<hov 0>(%a,@ %a)@]"
+ let print_d_set fmt (s_1,s_2) =
+ Format.fprintf fmt "(%a,%a)"
StateSet.print s_1 StateSet.print s_2 in
- let print_map fmt run =
+ let print_map fmt run =
let pp = Format.fprintf fmt in
if NodeHash.length run = 0
then Format.fprintf fmt "ø"
else
- NodeHash.iter (fun cle set -> pp "| %i-->%a @ " cle print_d_set set)
+ NodeHash.iter (fun cle set -> pp "| %i->%a @ " cle print_d_set set)
run in
let print_box fmt run =
let pp = Format.fprintf fmt in
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