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
155 Html.trace (T.preorder tree node) i
156 "node: %i<br/>%s<br/>sat: %a<br/>todo: %a<br/>_______________________<br/>"
157 (T.preorder tree node)
159 StateSet.print config.sat
160 StateSet.print config.todo
163 let debug msg tree node i config =
164 let config = config.NodeStatus.node in
166 "DEBUG:%s node: %i\nsat: %a\ntodo: %a\nround: %i\n"
168 (T.preorder tree node)
169 StateSet.print config.sat
170 StateSet.print config.todo
173 let get_form cache2 auto tag q =
175 Cache.N2.find cache2 (tag.QName.id :> int) (q :> int)
177 if phi == dummy_form then
178 let phi = Ata.get_form auto tag q in
182 (tag.QName.id :> int)
187 type trivalent = False | True | Unknown
188 let of_bool = function false -> False | true -> True
193 | Unknown -> if t2 == True then True else Unknown
199 | Unknown -> if t2 == False then False else Unknown
201 (* Define as macros to get lazyness *)
207 | Unknown -> if (t2) == True then True else Unknown
214 | Unknown -> if (t2) == False then False else Unknown
217 let eval_form phi fcs nss ps ss summary =
220 begin match Formula.expr phi with
221 | Boolean.False -> False
222 | Boolean.True -> True
223 | Boolean.Atom (a, b) ->
225 let open NodeSummary in
226 match a.Atom.node with
228 let { NodeStatus.node = n_sum; _ } as sum =
231 | `Next_sibling -> nss
232 | `Parent | `Previous_sibling -> ps
235 if sum == dummy_status || StateSet.mem q n_sum.todo then
238 of_bool (b == StateSet.mem q n_sum.sat)
239 | Is_first_child -> of_bool (b == is_left summary)
240 | Is_next_sibling -> of_bool (b == is_right summary)
241 | Is k -> of_bool (b == (k == kind summary))
242 | Has_first_child -> of_bool (b == has_left summary)
243 | Has_next_sibling -> of_bool (b == has_right summary)
245 | Boolean.And(phi1, phi2) -> AND_ (loop phi1, loop phi2)
246 | Boolean.Or (phi1, phi2) -> OR_ (loop phi1, loop phi2)
252 let eval_trans_aux auto cache2 tag fcs nss ps old_status =
255 summary = old_summary } as os_node = old_status.NodeStatus.node
258 StateSet.fold (fun q ((a_sat, a_todo) as acc) ->
260 get_form cache2 auto tag q
262 let v = eval_form phi fcs nss ps old_status old_summary in
264 True -> StateSet.add q a_sat, a_todo
266 | Unknown -> a_sat, StateSet.add q a_todo
267 ) old_todo (old_sat, StateSet.empty)
269 if old_sat != sat || old_todo != todo then
270 NodeStatus.make { os_node with sat; todo }
274 let eval_trans auto cache2 cache5 tag fcs nss ps ss =
275 let rec loop old_status =
277 eval_trans_aux auto cache2 tag fcs nss ps old_status
279 if new_status == old_status then old_status else loop new_status
281 let fcsid = (fcs.NodeStatus.id :> int) in
282 let nssid = (nss.NodeStatus.id :> int) in
283 let psid = (ps.NodeStatus.id :> int) in
284 let ssid = (ss.NodeStatus.id :> int) in
285 let tagid = (tag.QName.id :> int) in
286 let res = Cache.N5.find cache5 tagid ssid fcsid nssid psid in
287 if res != dummy_status then res
288 else let new_status = loop ss in
289 Cache.N5.add cache5 tagid ssid fcsid nssid psid new_status;
296 let tree = run.tree in
297 let auto = run.auto in
298 let status = run.status in
299 let cache2 = run.cache2 in
300 let cache5 = run.cache5 in
301 let unstable = run.unstable in
302 let init_todo = StateSet.diff (Ata.get_states auto) (Ata.get_starting_states auto) in
304 let node_id = T.preorder tree node in
305 if node == T.nil || not (Bitvector.get unstable node_id) then false else begin
306 let parent = T.parent tree node in
307 let fc = T.first_child tree node in
308 let fc_id = T.preorder tree fc in
309 let ns = T.next_sibling tree node in
310 let ns_id = T.preorder tree ns in
311 let tag = T.tag tree node in
312 (* We enter the node from its parent *)
315 let c = unsafe_get_status status node_id in
316 if c == dummy_status then
317 (* first time we visit the node *)
319 { sat = StateSet.empty;
321 summary = NodeSummary.make
322 (node == T.first_child tree parent) (* is_left *)
323 (node == T.next_sibling tree parent) (* is_right *)
324 (fc != T.nil) (* has_left *)
325 (ns != T.nil) (* has_right *)
326 (T.kind tree node) (* kind *)
330 IFTRACE(html tree node _i status0 "Entering node");
332 (* get the node_statuses for the first child, next sibling and parent *)
333 let ps = unsafe_get_status status (T.preorder tree parent) in
334 let fcs = unsafe_get_status status fc_id in
335 let nss = unsafe_get_status status ns_id in
336 (* evaluate the transitions with all this statuses *)
337 let status1 = if status0.NodeStatus.node.todo == StateSet.empty then status0 else begin
338 let status1 = eval_trans auto cache2 cache5 tag fcs nss ps status0 in
339 IFTRACE(html tree node _i status1 "Updating transitions");
340 (* update the cache if the status of the node changed *)
341 if status1 != status0 then status.(node_id) <- status1;
345 (* recursively traverse the first child *)
346 let unstable_left = loop fc in
347 (* here we re-enter the node from its first child,
348 get the new status of the first child *)
349 let fcs1 = unsafe_get_status status fc_id in
350 (* update the status *)
351 let status2 = if status1.NodeStatus.node.todo == StateSet.empty then status1 else begin
352 let status2 = eval_trans auto cache2 cache5 tag fcs1 nss ps status1 in
353 IFTRACE(html tree node _i status2 "Updating transitions (after first-child)");
354 if status2 != status1 then status.(node_id) <- status2;
358 let unstable_right = loop ns in
359 let nss1 = unsafe_get_status status ns_id in
360 let status3 = if status2.NodeStatus.node.todo == StateSet.empty then status2 else begin
361 let status3 = eval_trans auto cache2 cache5 tag fcs1 nss1 ps status2 in
362 IFTRACE(html tree node _i status3 "Updating transitions (after next-sibling)");
363 if status3 != status2 then status.(node_id) <- status3;
368 (* if either our left or right child is unstable or if we still have transitions
369 pending, the current node is unstable *)
372 || StateSet.empty != status3.NodeStatus.node.todo
374 Bitvector.unsafe_set unstable node_id unstable_self;
375 IFTRACE((if not unstable_self then
379 Ata.(StateSet.intersect status3.NodeStatus.node.sat (get_selecting_states auto))));
383 run.redo <- loop (T.root tree);
384 run.pass <- run.pass + 1
387 let get_results run =
388 let cache = run.status in
389 let auto = run.auto in
390 let tree = run.tree in
391 let rec loop node acc =
392 if node == T.nil then acc
394 let acc0 = loop (T.next_sibling tree node) acc in
395 let acc1 = loop (T.first_child tree node) acc0 in
399 cache.(T.preorder tree node).NodeStatus.node.sat
400 (get_selecting_states auto)) then node::acc1
403 loop (T.root tree) []
406 let get_full_results run =
407 let cache = run.status in
408 let auto = run.auto in
409 let tree = run.tree in
410 let res_mapper = Hashtbl.create MED_H_SIZE in
413 (fun q -> Hashtbl.add res_mapper q [])
414 (Ata.get_selecting_states auto)
416 let dummy = [ T.nil ] in
417 let res_mapper = Cache.N1.create dummy in
420 (fun q -> Cache.N1.add res_mapper (q :> int) [])
421 (Ata.get_selecting_states auto)
424 if node != T.nil then
425 let () = loop (T.next_sibling tree node) in
426 let () = loop (T.first_child tree node) in
429 let res = Cache.N1.find res_mapper (q :> int) in
431 Cache.N1.add res_mapper (q :> int) (node::res)
433 cache.(T.preorder tree node).NodeStatus.node.sat
437 (fun q acc -> (q, Cache.N1.find res_mapper (q :> int))::acc)
438 (Ata.get_selecting_states auto) [])
441 let prepare_run run list =
442 let tree = run.tree in
443 let auto = run.auto in
444 let status = run.status in
445 List.iter (fun node ->
446 let parent = T.parent tree node in
447 let fc = T.first_child tree node in
448 let ns = T.next_sibling tree node in
451 { sat = Ata.get_starting_states auto;
453 StateSet.diff (Ata.get_states auto) (Ata.get_starting_states auto);
454 summary = NodeSummary.make
455 (node == T.first_child tree parent) (* is_left *)
456 (node == T.next_sibling tree parent) (* is_right *)
457 (fc != T.nil) (* has_left *)
458 (ns != T.nil) (* has_right *)
459 (T.kind tree node) (* kind *)
462 let node_id = T.preorder tree node in
463 status.(node_id) <- status0) list
466 let compute_run auto tree nodes =
467 let run = make auto tree in
468 prepare_run run nodes;
473 IFTRACE(Html.gen_trace auto (module T : Tree.S with type t = T.t) tree);
477 let full_eval auto tree nodes =
478 let r = compute_run auto tree nodes in
481 let eval auto tree nodes =
482 let r = compute_run auto tree nodes in