end
type node_status = {
- sat : StateSet.t;
- unsat : StateSet.t;
- todo : Ata.TransList.t;
- summary : NodeSummary.t;
+ sat : StateSet.t; (* States that are satisfied at the current node *)
+ todo : StateSet.t; (* States that remain to be proven *)
+ (* For every node_status and automaton a:
+ a.states - (sat U todo) = unsat *)
+ summary : NodeSummary.t; (* Summary of the shape of the node *)
}
(* Describe what is kept at each node for a run *)
- module NodeStatus = Hcons.Make(struct
- type t = node_status
- let equal c d =
- c == d ||
- c.sat == d.sat &&
- c.unsat == d.unsat &&
- c.todo == d.todo &&
- c.summary == d.summary
-
- let hash c =
- HASHINT4((c.sat.StateSet.id :> int),
- (c.unsat.StateSet.id :> int),
- (c.todo.Ata.TransList.id :> int),
- c.summary)
- end
- )
+ module NodeStatus =
+ struct
+ include Hcons.Make(struct
+ type t = node_status
+ let equal c d =
+ c == d ||
+ c.sat == d.sat &&
+ c.todo == d.todo &&
+ c.summary == d.summary
+
+ let hash c =
+ HASHINT3((c.sat.StateSet.id :> int),
+ (c.todo.StateSet.id :> int),
+ c.summary)
+ end
+ )
+ let print ppf s =
+ fprintf ppf
+ "{ sat: %a; todo: %a; summary: _ }"
+ StateSet.print s.node.sat
+ StateSet.print s.node.todo
+ end
let dummy_status =
NodeStatus.make { sat = StateSet.empty;
- unsat = StateSet.empty;
- todo = Ata.TransList.nil;
+ todo = StateSet.empty;
summary = NodeSummary.dummy;
}
(* A boolean indicating whether the run is incomplete *)
mutable pass : int;
(* The number of times this run was updated *)
- mutable cache2 : Ata.TransList.t Cache.N2.t;
+ mutable cache2 : Ata.Formula.t Cache.N2.t;
(* A cache from states * label to list of transitions *)
- mutable cache4 : NodeStatus.t Cache.N4.t;
+ mutable cache5 : NodeStatus.t Cache.N5.t;
}
let pass r = r.pass
let tree r = r.tree
- let dummy_trl =
- Ata.(TransList.cons
- (Transition.make
- (State.dummy,QNameSet.empty, Formula.false_))
- TransList.nil)
+ let dummy_form = Ata.Formula.stay State.dummy
let make auto tree =
let len = T.size tree in
unstable = Bitvector.create ~init:true len;
redo = true;
pass = 0;
- cache2 = Cache.N2.create dummy_trl;
- cache4 = Cache.N4.create dummy_status;
+ cache2 = Cache.N2.create dummy_form;
+ cache5 = Cache.N5.create dummy_status;
}
let get_status a i =
let html tree node i config msg =
let config = config.NodeStatus.node in
Html.trace (T.preorder tree node) i
- "node: %i<br/>%s<br/>sat: %a<br/>unsat: %a<br/>todo: %around: %i<br/>"
+ "node: %i<br/>%s<br/>sat: %a<br/>todo: %a<br/>round: %i<br/>"
(T.preorder tree node)
msg
StateSet.print config.sat
- StateSet.print config.unsat
- (Ata.TransList.print ~sep:"<br/>") config.todo i
+ StateSet.print config.todo
+ i
let debug msg tree node i config =
let config = config.NodeStatus.node in
eprintf
- "DEBUG:%s node: %i\nsat: %a\nunsat: %a\ntodo: %around: %i\n"
+ "DEBUG:%s node: %i\nsat: %a\ntodo: %a\nround: %i\n"
msg
(T.preorder tree node)
StateSet.print config.sat
- StateSet.print config.unsat
- (Ata.TransList.print ~sep:"\n") config.todo i
-
+ StateSet.print config.todo
+ i
- let get_trans cache2 auto tag states =
- let trs =
- Cache.N2.find cache2
- (tag.QName.id :> int) (states.StateSet.id :> int)
+ let get_form cache2 auto tag q =
+ let phi =
+ Cache.N2.find cache2 (tag.QName.id :> int) (q :> int)
in
- if trs == dummy_trl then
- let trs = Ata.get_trans auto tag states in
- (Cache.N2.add
- cache2
- (tag.QName.id :> int)
- (states.StateSet.id :> int) trs; trs)
- else trs
-
-
-
- let simplify_atom atom pos q { NodeStatus.node = status; _ } =
- if (pos && StateSet.mem q status.sat)
- || ((not pos) && StateSet.mem q status.unsat) then Ata.Formula.true_
- else if (pos && StateSet.mem q status.unsat)
- || ((not pos) && StateSet.mem q status.sat) then Ata.Formula.false_
- else atom
+ if phi == dummy_form then
+ let phi = Ata.get_form auto tag q in
+ let () =
+ Cache.N2.add
+ cache2
+ (tag.QName.id :> int)
+ (q :> int) phi
+ in phi
+ else phi
+
+ type trivalent = False | True | Unknown
+ let of_bool = function false -> False | true -> True
+ let or_ t1 t2 =
+ match t1 with
+ False -> t2
+ | True -> True
+ | Unknown -> if t2 == True then True else Unknown
+
+ let and_ t1 t2 =
+ match t1 with
+ False -> False
+ | True -> t2
+ | Unknown -> if t2 == False then False else Unknown
+
+ (* Define as macros to get lazyness *)
+DEFINE OR_(t1,t2) =
+ let __t1 = (t1) in
+ match t1 with
+ False -> (t2)
+ | True -> True
+ | Unknown -> if (t2) == True then True else Unknown
+
+DEFINE AND_(t1,t2) =
+ let __t1 = (t1) in
+ match t1 with
+ False -> False
+ | True -> (t2)
+ | Unknown -> if (t2) == False then False else Unknown
let eval_form phi fcs nss ps ss summary =
let open Ata in
let rec loop phi =
begin match Formula.expr phi with
- Boolean.True | Boolean.False -> phi
+ | Boolean.False -> False
+ | Boolean.True -> True
| Boolean.Atom (a, b) ->
begin
let open NodeSummary in
match a.Atom.node with
| Move (m, q) ->
- let states = match m with
- `First_child -> fcs
- | `Next_sibling -> nss
- | `Parent | `Previous_sibling -> ps
- | `Stay -> ss
- in simplify_atom phi b q states
- | Is_first_child -> Formula.of_bool (b == is_left summary)
- | Is_next_sibling -> Formula.of_bool (b == is_right summary)
- | Is k -> Formula.of_bool (b == (k == kind summary))
- | Has_first_child -> Formula.of_bool (b == has_left summary)
- | Has_next_sibling -> Formula.of_bool (b == has_right summary)
+ let { NodeStatus.node = n_sum; _ } as sum =
+ match m with
+ `First_child -> fcs
+ | `Next_sibling -> nss
+ | `Parent | `Previous_sibling -> ps
+ | `Stay -> ss
+ in
+ if sum == dummy_status || StateSet.mem q n_sum.todo then
+ Unknown
+ else
+ of_bool (b == StateSet.mem q n_sum.sat)
+ | Is_first_child -> of_bool (b == is_left summary)
+ | Is_next_sibling -> of_bool (b == is_right summary)
+ | Is k -> of_bool (b == (k == kind summary))
+ | Has_first_child -> of_bool (b == has_left summary)
+ | Has_next_sibling -> of_bool (b == has_right summary)
end
- | Boolean.And(phi1, phi2) -> Formula.and_ (loop phi1) (loop phi2)
- | Boolean.Or (phi1, phi2) -> Formula.or_ (loop phi1) (loop phi2)
+ | Boolean.And(phi1, phi2) -> AND_ (loop phi1, loop phi2)
+ | Boolean.Or (phi1, phi2) -> OR_ (loop phi1, loop phi2)
end
in
loop phi
- let eval_trans_aux cache4 fcs nss ps ss old_config =
+ let eval_trans_aux auto cache2 tag fcs nss ps old_status =
let { sat = old_sat;
- unsat = old_unsat;
todo = old_todo;
- summary = old_summary } = old_config.NodeStatus.node
+ summary = old_summary } as os_node = old_status.NodeStatus.node
in
- let sat, unsat, removed, kept, todo =
- Ata.TransList.fold
- (fun trs acc ->
- let q, lab, phi = Ata.Transition.node trs in
- let a_sat, a_unsat, a_rem, a_kept, a_todo = acc in
- if StateSet.mem q a_sat || StateSet.mem q a_unsat then acc else
- let new_phi =
- eval_form phi fcs nss ps old_config old_summary
- in
- if Ata.Formula.is_true new_phi then
- StateSet.add q a_sat, a_unsat, StateSet.add q a_rem, a_kept, a_todo
- else if Ata.Formula.is_false new_phi then
- a_sat, StateSet.add q a_unsat, StateSet.add q a_rem, a_kept, a_todo
- else
- let new_tr = Ata.Transition.make (q, lab, new_phi) in
- (a_sat, a_unsat, a_rem, StateSet.add q a_kept, (Ata.TransList.cons new_tr a_todo))
- ) old_todo (old_sat, old_unsat, StateSet.empty, StateSet.empty, Ata.TransList.nil)
+ let sat, todo =
+ StateSet.fold (fun q ((a_sat, a_todo) as acc) ->
+ let phi =
+ get_form cache2 auto tag q
+ in
+ let v = eval_form phi fcs nss ps old_status old_summary in
+ match v with
+ True -> StateSet.add q a_sat, a_todo
+ | False -> acc
+ | Unknown -> a_sat, StateSet.add q a_todo
+ ) old_todo (old_sat, StateSet.empty)
in
- (* States that have been removed from the todo list and not kept are now
- unsatisfiable *)
- let unsat = StateSet.union unsat (StateSet.diff removed kept) in
- (* States that were found once to be satisfiable remain so *)
- let unsat = StateSet.diff unsat sat in
- let new_config = NodeStatus.make { old_config.NodeStatus.node with sat; unsat; todo; } in
- new_config
+ if old_sat != sat || old_todo != todo then
+ NodeStatus.make { os_node with sat; todo }
+ else old_status
- let eval_trans cache4 fcs nss ps ss =
+ let eval_trans auto cache2 cache5 tag fcs nss ps ss =
+ let rec loop old_status =
+ let new_status =
+ eval_trans_aux auto cache2 tag fcs nss ps old_status
+ in
+ if new_status == old_status then old_status else loop new_status
+ in
let fcsid = (fcs.NodeStatus.id :> int) in
let nssid = (nss.NodeStatus.id :> int) in
let psid = (ps.NodeStatus.id :> int) in
- let rec loop old_config =
- let oid = (old_config.NodeStatus.id :> int) in
- let res =
- let res = Cache.N4.find cache4 oid fcsid nssid psid in
- if res != dummy_status then res
- else
- let new_config =
- eval_trans_aux cache4 fcs nss ps ss old_config
- in
- Cache.N4.add cache4 oid fcsid nssid psid new_config;
- new_config
- in
- if res == old_config then res else loop res
- in
- loop ss
-
+ let ssid = (ss.NodeStatus.id :> int) in
+ let tagid = (tag.QName.id :> int) in
+ let res = Cache.N5.find cache5 tagid ssid fcsid nssid psid in
+ if res != dummy_status then res
+ else let new_status = loop ss in
+ Cache.N5.add cache5 tagid ssid fcsid nssid psid new_status;
+ new_status
let auto = run.auto in
let status = run.status in
let cache2 = run.cache2 in
- let cache4 = run.cache4 in
+ let cache5 = run.cache5 in
let unstable = run.unstable in
+ let init_todo = StateSet.diff (Ata.get_states auto) (Ata.get_starting_states auto) in
let rec loop node =
let node_id = T.preorder tree node in
if node == T.nil || not (Bitvector.get unstable node_id) then false else begin
let c = unsafe_get_status status node_id in
if c == dummy_status then
(* first time we visit the node *)
- let ltrs = get_trans cache2 auto tag (Ata.get_states auto) in
NodeStatus.make
{ sat = StateSet.empty;
- unsat = Ata.get_starting_states auto;
- todo = ltrs;
+ todo = init_todo;
summary = NodeSummary.make
(node == T.first_child tree parent) (* is_left *)
(node == T.next_sibling tree parent) (* is_right *)
}
else c
in
-
TRACE(html tree node _i config0 "Entering node");
(* get the node_statuses for the first child, next sibling and parent *)
let fcs = unsafe_get_status status fc_id in
let nss = unsafe_get_status status ns_id in
(* evaluate the transitions with all this statuses *)
- let status1 = eval_trans cache4 fcs nss ps status0 in
-
+ let status1 = eval_trans auto cache2 cache5 tag fcs nss ps status0 in
TRACE(html tree node _i config1 "Updating transitions");
(* update the cache if the status of the node changed *)
get the new status of the first child *)
let fcs1 = unsafe_get_status status fc_id in
(* update the status *)
- let status2 = eval_trans cache4 fcs1 nss ps status1 in
+ let status2 = eval_trans auto cache2 cache5 tag fcs1 nss ps status1 in
TRACE(html tree node _i config2 "Updating transitions (after first-child)");
if status2 != status1 then status.(node_id) <- status2;
let unstable_right = loop ns in
let nss1 = unsafe_get_status status ns_id in
- let status3 = eval_trans cache4 fcs1 nss1 ps status2 in
+ let status3 = eval_trans auto cache2 cache5 tag fcs1 nss1 ps status2 in
TRACE(html tree node _i config3 "Updating transitions (after next-sibling)");
pending, the current node is unstable *)
unstable_left
|| unstable_right
- || Ata.TransList.nil != status3.NodeStatus.node.todo
+ || StateSet.empty != status3.NodeStatus.node.todo
in
Bitvector.unsafe_set unstable node_id unstable_self;
TRACE((if not unstable_self then
(fun q -> Hashtbl.add res_mapper q [])
(Ata.get_selecting_states auto)
in
+ let dummy = [ T.nil ] in
+ let res_mapper = Cache.N1.create dummy in
+ let () =
+ StateSet.iter
+ (fun q -> Cache.N1.add res_mapper (q :> int) [])
+ (Ata.get_selecting_states auto)
+ in
let rec loop node =
if node != T.nil then
let () = loop (T.next_sibling tree node) in
let () = loop (T.first_child tree node) in
StateSet.iter
(fun q ->
- try
- let acc = Hashtbl.find res_mapper q in
- Hashtbl.replace res_mapper q (node::acc)
- with
- Not_found -> ())
+ let res = Cache.N1.find res_mapper (q :> int) in
+ if res != dummy then
+ Cache.N1.add res_mapper (q :> int) (node::res)
+ )
cache.(T.preorder tree node).NodeStatus.node.sat
in
loop (T.root tree);
- StateSet.fold
- (fun q acc -> (q, Hashtbl.find res_mapper q)::acc)
- (Ata.get_selecting_states auto) []
+ List.rev (StateSet.fold
+ (fun q acc -> (q, Cache.N1.find res_mapper (q :> int))::acc)
+ (Ata.get_selecting_states auto) [])
let prepare_run run list =
let tree = run.tree in
let auto = run.auto in
let status = run.status in
- let cache2 = run.cache2 in
List.iter (fun node ->
let parent = T.parent tree node in
let fc = T.first_child tree node in
let ns = T.next_sibling tree node in
- let tag = T.tag tree node in
-
let status0 =
NodeStatus.make
{ sat = Ata.get_starting_states auto;
- unsat = StateSet.empty;
- todo = get_trans cache2 auto tag (Ata.get_states auto);
+ todo =
+ StateSet.diff (Ata.get_states auto) (Ata.get_starting_states auto);
summary = NodeSummary.make
(node == T.first_child tree parent) (* is_left *)
(node == T.next_sibling tree parent) (* is_right *)
if full then `Full (get_full_results run)
else `Normal (get_results run)
-
let full_eval auto tree nodes =
match eval true auto tree nodes with
`Full l -> l