1 (***********************************************************************)
5 (* Kim Nguyen, LRI UMR8623 *)
6 (* Université Paris-Sud & CNRS *)
8 (* Copyright 2010-2013 Université Paris-Sud and Centre National de la *)
9 (* Recherche Scientifique. All rights reserved. This file is *)
10 (* distributed under the terms of the GNU Lesser General Public *)
11 (* License, with the special exception on linking described in file *)
14 (***********************************************************************)
20 module Make (T : Tree.S) =
25 (* Pack into an integer the result of the is_* and has_ predicates
38 let has_right (s : t) : bool =
41 let has_left (s : t) : bool =
42 Obj.magic ((s lsr 1) land 1)
44 let is_right (s : t) : bool =
45 Obj.magic ((s lsr 2) land 1)
47 let is_left (s : t) : bool =
48 Obj.magic ((s lsr 3) land 1)
50 let kind (s : t) : Tree.NodeKind.t =
53 let make is_left is_right has_left has_right kind =
54 ((Obj.magic kind) lsl 4) lor
55 ((int_of_bool is_left) lsl 3) lor
56 ((int_of_bool is_right) lsl 2) lor
57 ((int_of_bool has_left) lsl 1) lor
58 (int_of_bool has_right)
63 sat : StateSet.t; (* States that are satisfied at the current node *)
64 todo : StateSet.t; (* States that remain to be proven *)
65 (* For every node_status and automaton a:
66 a.states - (sat U todo) = unsat *)
67 summary : NodeSummary.t; (* Summary of the shape of the node *)
69 (* Describe what is kept at each node for a run *)
73 include Hcons.Make(struct
79 c.summary == d.summary
82 HASHINT3((c.sat.StateSet.id :> int),
83 (c.todo.StateSet.id :> int),
89 "{ sat: %a; todo: %a; summary: _ }"
90 StateSet.print s.node.sat
91 StateSet.print s.node.todo
95 NodeStatus.make { sat = StateSet.empty;
96 todo = StateSet.empty;
97 summary = NodeSummary.dummy;
103 (* The argument of the run *)
105 (* The automaton to be run *)
106 status : NodeStatus.t array;
107 (* A mapping from node preorders to NodeStatus *)
108 unstable : Bitvector.t;
109 (* A bitvector remembering whether a subtree is stable *)
111 (* A boolean indicating whether the run is incomplete *)
113 (* The number of times this run was updated *)
114 mutable cache2 : Ata.Formula.t Cache.N2.t;
115 (* A cache from states * label to list of transitions *)
116 mutable cache5 : NodeStatus.t Cache.N5.t;
120 let stable r = not r.redo
125 let dummy_form = Ata.Formula.stay State.dummy
128 let len = T.size tree in
132 status = Array.create len dummy_status;
133 unstable = Bitvector.create ~init:true len;
136 cache2 = Cache.N2.create dummy_form;
137 cache5 = Cache.N5.create dummy_status;
141 if i < 0 then dummy_status else Array.get a i
143 let unsafe_get_status a i =
144 if i < 0 then dummy_status else Array.unsafe_get a i
148 DEFINE IFTRACE(e) = (e)
150 DEFINE IFTRACE(e) = ()
153 let html tree node i config msg =
154 let config = config.NodeStatus.node in
156 (T.preorder tree node) i
162 let debug msg tree node i config =
163 let config = config.NodeStatus.node in
165 "DEBUG:%s node: %i\nsat: %a\ntodo: %a\nround: %i\n"
167 (T.preorder tree node)
168 StateSet.print config.sat
169 StateSet.print config.todo
172 let get_form cache2 auto tag q =
174 Cache.N2.find cache2 (tag.QName.id :> int) (q :> int)
176 if phi == dummy_form then
177 let phi = Ata.get_form auto tag q in
181 (tag.QName.id :> int)
186 type trivalent = False | True | Unknown
187 let of_bool = function false -> False | true -> True
192 | Unknown -> if t2 == True then True else Unknown
198 | Unknown -> if t2 == False then False else Unknown
200 (* Define as macros to get lazyness *)
206 | Unknown -> if (t2) == True then True else Unknown
213 | Unknown -> if (t2) == False then False else Unknown
216 let eval_form phi fcs nss ps ss summary =
219 begin match Formula.expr phi with
220 | Boolean.False -> False
221 | Boolean.True -> True
222 | Boolean.Atom (a, b) ->
224 let open NodeSummary in
225 match a.Atom.node with
227 let { NodeStatus.node = n_sum; _ } as sum =
230 | `Next_sibling -> nss
231 | `Parent | `Previous_sibling -> ps
234 if sum == dummy_status || StateSet.mem q n_sum.todo then
237 of_bool (b == StateSet.mem q n_sum.sat)
238 | Is_first_child -> of_bool (b == is_left summary)
239 | Is_next_sibling -> of_bool (b == is_right summary)
240 | Is k -> of_bool (b == (k == kind summary))
241 | Has_first_child -> of_bool (b == has_left summary)
242 | Has_next_sibling -> of_bool (b == has_right summary)
244 | Boolean.And(phi1, phi2) -> AND_ (loop phi1, loop phi2)
245 | Boolean.Or (phi1, phi2) -> OR_ (loop phi1, loop phi2)
251 let eval_trans_aux auto cache2 tag fcs nss ps old_status =
254 summary = old_summary } as os_node = old_status.NodeStatus.node
257 StateSet.fold (fun q ((a_sat, a_todo) as acc) ->
259 get_form cache2 auto tag q
261 let v = eval_form phi fcs nss ps old_status old_summary in
263 True -> StateSet.add q a_sat, a_todo
265 | Unknown -> a_sat, StateSet.add q a_todo
266 ) old_todo (old_sat, StateSet.empty)
268 if old_sat != sat || old_todo != todo then
269 NodeStatus.make { os_node with sat; todo }
273 let eval_trans auto cache2 cache5 tag fcs nss ps ss =
274 let rec loop old_status =
276 eval_trans_aux auto cache2 tag fcs nss ps old_status
278 if new_status == old_status then old_status else loop new_status
280 let fcsid = (fcs.NodeStatus.id :> int) in
281 let nssid = (nss.NodeStatus.id :> int) in
282 let psid = (ps.NodeStatus.id :> int) in
283 let ssid = (ss.NodeStatus.id :> int) in
284 let tagid = (tag.QName.id :> int) in
285 let res = Cache.N5.find cache5 tagid ssid fcsid nssid psid in
286 if res != dummy_status then res
287 else let new_status = loop ss in
288 Cache.N5.add cache5 tagid ssid fcsid nssid psid new_status;
295 let tree = run.tree in
296 let auto = run.auto in
297 let status = run.status in
298 let cache2 = run.cache2 in
299 let cache5 = run.cache5 in
300 let unstable = run.unstable in
301 let init_todo = StateSet.diff (Ata.get_states auto) (Ata.get_starting_states auto) in
303 let node_id = T.preorder tree node in
304 if node == T.nil || not (Bitvector.get unstable node_id) then false else begin
305 let parent = T.parent tree node in
306 let fc = T.first_child tree node in
307 let fc_id = T.preorder tree fc in
308 let ns = T.next_sibling tree node in
309 let ns_id = T.preorder tree ns in
310 let tag = T.tag tree node in
311 (* We enter the node from its parent *)
314 let c = unsafe_get_status status node_id in
315 if c == dummy_status then
316 (* first time we visit the node *)
318 { sat = StateSet.empty;
320 summary = NodeSummary.make
321 (node == T.first_child tree parent) (* is_left *)
322 (node == T.next_sibling tree parent) (* is_right *)
323 (fc != T.nil) (* has_left *)
324 (ns != T.nil) (* has_right *)
325 (T.kind tree node) (* kind *)
329 IFTRACE(html tree node _i status0 "Entering node");
331 (* get the node_statuses for the first child, next sibling and parent *)
332 let ps = unsafe_get_status status (T.preorder tree parent) in
333 let fcs = unsafe_get_status status fc_id in
334 let nss = unsafe_get_status status ns_id in
335 (* evaluate the transitions with all this statuses *)
336 let status1 = if status0.NodeStatus.node.todo == StateSet.empty then status0 else begin
337 let status1 = eval_trans auto cache2 cache5 tag fcs nss ps status0 in
338 IFTRACE(html tree node _i status1 "Updating transitions");
339 (* update the cache if the status of the node changed *)
340 if status1 != status0 then status.(node_id) <- status1;
344 (* recursively traverse the first child *)
345 let unstable_left = loop fc in
346 (* here we re-enter the node from its first child,
347 get the new status of the first child *)
348 let fcs1 = unsafe_get_status status fc_id in
349 (* update the status *)
350 let status2 = if status1.NodeStatus.node.todo == StateSet.empty then status1 else begin
351 let status2 = eval_trans auto cache2 cache5 tag fcs1 nss ps status1 in
352 IFTRACE(html tree node _i status2 "Updating transitions (after first-child)");
353 if status2 != status1 then status.(node_id) <- status2;
357 let unstable_right = loop ns in
358 let nss1 = unsafe_get_status status ns_id in
359 let status3 = if status2.NodeStatus.node.todo == StateSet.empty then status2 else begin
360 let status3 = eval_trans auto cache2 cache5 tag fcs1 nss1 ps status2 in
361 IFTRACE(html tree node _i status3 "Updating transitions (after next-sibling)");
362 if status3 != status2 then status.(node_id) <- status3;
367 (* if either our left or right child is unstable or if we still have transitions
368 pending, the current node is unstable *)
371 || StateSet.empty != status3.NodeStatus.node.todo
373 Bitvector.unsafe_set unstable node_id unstable_self;
374 IFTRACE((if not unstable_self then
378 Ata.(StateSet.intersect status3.NodeStatus.node.sat (get_selecting_states auto))));
382 run.redo <- loop (T.root tree);
383 run.pass <- run.pass + 1
386 let get_results run =
387 let cache = run.status in
388 let auto = run.auto in
389 let tree = run.tree in
390 let rec loop node acc =
391 if node == T.nil then acc
393 let acc0 = loop (T.next_sibling tree node) acc in
394 let acc1 = loop (T.first_child tree node) acc0 in
398 cache.(T.preorder tree node).NodeStatus.node.sat
399 (get_selecting_states auto)) then node::acc1
402 loop (T.root tree) []
405 let get_full_results run =
406 let cache = run.status in
407 let auto = run.auto in
408 let tree = run.tree in
409 let res_mapper = Hashtbl.create MED_H_SIZE in
412 (fun q -> Hashtbl.add res_mapper q [])
413 (Ata.get_selecting_states auto)
415 let dummy = [ T.nil ] in
416 let res_mapper = Cache.N1.create dummy in
419 (fun q -> Cache.N1.add res_mapper (q :> int) [])
420 (Ata.get_selecting_states auto)
423 if node != T.nil then
424 let () = loop (T.next_sibling tree node) in
425 let () = loop (T.first_child tree node) in
428 let res = Cache.N1.find res_mapper (q :> int) in
430 Cache.N1.add res_mapper (q :> int) (node::res)
432 cache.(T.preorder tree node).NodeStatus.node.sat
436 (fun q acc -> (q, Cache.N1.find res_mapper (q :> int))::acc)
437 (Ata.get_selecting_states auto) [])
440 let prepare_run run list =
441 let tree = run.tree in
442 let auto = run.auto in
443 let status = run.status in
444 List.iter (fun node ->
445 let parent = T.parent tree node in
446 let fc = T.first_child tree node in
447 let ns = T.next_sibling tree node in
450 { sat = Ata.get_starting_states auto;
452 StateSet.diff (Ata.get_states auto) (Ata.get_starting_states auto);
453 summary = NodeSummary.make
454 (node == T.first_child tree parent) (* is_left *)
455 (node == T.next_sibling tree parent) (* is_right *)
456 (fc != T.nil) (* has_left *)
457 (ns != T.nil) (* has_right *)
458 (T.kind tree node) (* kind *)
461 let node_id = T.preorder tree node in
462 status.(node_id) <- status0) list
465 let compute_run auto tree nodes =
466 let run = make auto tree in
467 prepare_run run nodes;
472 IFTRACE(Html.gen_trace auto (module T : Tree.S with type t = T.t) tree);
476 let full_eval auto tree nodes =
477 let r = compute_run auto tree nodes in
480 let eval auto tree nodes =
481 let r = compute_run auto tree nodes in