(***********************************************************************)
INCLUDE "utils.ml"
-open Format
-open Misc
+INCLUDE "debug.ml"
-module Make (T : Tree.S) =
- struct
-
- module NodeSummary =
- struct
- (* Pack into an integer the result of the is_* and has_ predicates
- for a given node *)
- type t = int
- let dummy = -1
- (*
- 4444444444443210
- 4 -> kind
- 3 -> is_left
- 2 -> is_right
- 1 -> has_left
- 0 -> has_right
- *)
-
- let has_right (s : t) : bool =
- Obj.magic (s land 1)
-
- let has_left (s : t) : bool =
- Obj.magic ((s lsr 1) land 1)
-
- let is_right (s : t) : bool =
- Obj.magic ((s lsr 2) land 1)
-
- let is_left (s : t) : bool =
- Obj.magic ((s lsr 3) land 1)
-
- let kind (s : t) : Tree.NodeKind.t =
- Obj.magic (s lsr 4)
-
- let make is_left is_right has_left has_right kind =
- ((Obj.magic kind) lsl 4) lor
- ((int_of_bool is_left) lsl 3) lor
- ((int_of_bool is_right) lsl 2) lor
- ((int_of_bool has_left) lsl 1) lor
- (int_of_bool has_right)
-
- end
-
- type node_status = {
- 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 =
- 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;
- todo = StateSet.empty;
- summary = NodeSummary.dummy;
- }
-
-
- type run = {
- tree : T.t ;
- (* The argument of the run *)
- auto : Ata.t;
- (* The automaton to be run *)
- status : NodeStatus.t array;
- (* A mapping from node preorders to NodeStatus *)
- unstable : Bitvector.t;
- (* A bitvector remembering whether a subtree is stable *)
- mutable redo : bool;
- (* A boolean indicating whether the run is incomplete *)
- mutable pass : int;
- (* The number of times this run was updated *)
- mutable cache2 : Ata.Formula.t Cache.N2.t;
- (* A cache from states * label to list of transitions *)
- mutable cache5 : NodeStatus.t Cache.N5.t;
- }
-
- let pass r = r.pass
- let stable r = not r.redo
- let auto r = r.auto
- let tree r = r.tree
-
-
- let dummy_form = Ata.Formula.stay State.dummy
-
- let make auto tree =
- let len = T.size tree in
- {
- tree = tree;
- auto = auto;
- status = Array.create len dummy_status;
- unstable = Bitvector.create ~init:true len;
- redo = true;
- pass = 0;
- cache2 = Cache.N2.create dummy_form;
- cache5 = Cache.N5.create dummy_status;
- }
-
- let get_status a i =
- if i < 0 then dummy_status else Array.get a i
-
- let unsafe_get_status a i =
- if i < 0 then dummy_status else Array.unsafe_get a i
-
-IFDEF HTMLTRACE
- THEN
-DEFINE TRACE(e) = (e)
- ELSE
-DEFINE TRACE(e) = ()
-END
-
- 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/>todo: %a<br/>round: %i<br/>"
- (T.preorder tree node)
- msg
- StateSet.print config.sat
- 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\ntodo: %a\nround: %i\n"
- msg
- (T.preorder tree node)
- StateSet.print config.sat
- StateSet.print config.todo
- i
-
- let get_form cache2 auto tag q =
- let phi =
- Cache.N2.find cache2 (tag.QName.id :> int) (q :> int)
- in
- 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.False -> False
- | Boolean.True -> True
- | Boolean.Atom (a, b) ->
- begin
- let open NodeSummary in
- match a.Atom.node with
- | Move (m, q) ->
- 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) -> AND_ (loop phi1, loop phi2)
- | Boolean.Or (phi1, phi2) -> OR_ (loop phi1, loop phi2)
- end
- in
- loop phi
-
-
- let eval_trans_aux auto cache2 tag fcs nss ps old_status =
- let { sat = old_sat;
- todo = old_todo;
- summary = old_summary } as os_node = old_status.NodeStatus.node
- in
- 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
- if old_sat != sat || old_todo != todo then
- NodeStatus.make { os_node with sat; todo }
- else old_status
+module Make (T : Tree.S) =
+struct
+
+ let int (x : bool) : int = Obj.magic x
+ let kint (x : Tree.NodeKind.t) : int = Obj.magic x
+ let summary tree node parent fc ns =
+ (int (ns != T.nil)) lor
+ ((int (fc != T.nil)) lsl 1) lor
+ ((int (node == T.next_sibling tree parent)) lsl 2) lor
+ ((int (node == T.first_child tree parent)) lsl 3) lor
+ ((kint (T.kind tree node)) lsl 4)
+
+ let has_next_sibling summary : bool = Obj.magic (summary land 1)
+ let has_first_child summary : bool = Obj.magic ((summary lsr 1) land 1)
+ let is_next_sibling summary : bool = Obj.magic ((summary lsr 2) land 1)
+ let is_first_child summary : bool = Obj.magic ((summary lsr 3) land 1)
+ let kind summary : Tree.NodeKind.t = Obj.magic (summary lsr 4)
+
+
+ let eval_form phi node_summary f_set n_set p_set s_set =
+ let rec loop phi =
+ let open Boolean in
+ match Ata.Formula.expr phi with
+ False -> false
+ | True -> true
+ | Or (phi1, phi2) -> loop phi1 || loop phi2
+ | And (phi1, phi2) -> loop phi1 && loop phi2
+ | Atom (a, b) -> b == Ata.(
+ match Atom.node a with
+ Is_first_child -> is_first_child node_summary
+ | Is_next_sibling -> is_next_sibling node_summary
+ | Is k -> k == kind node_summary
+ | Has_first_child -> has_first_child node_summary
+ | Has_next_sibling -> has_next_sibling node_summary
+ | Move (m, q) ->
+ let set =
+ match m with
+ `First_child -> f_set
+ | `Next_sibling -> n_set
+ | `Parent
+ | `Previous_sibling -> p_set
+ | `Stay -> s_set
+ in
+ StateSet.mem q set
+ )
+ in
+ loop phi
- 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 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 eval_trans_aux trans_list node_summary f_set n_set p_set s_set =
+ let open Ata in
+ TransList.fold (fun trs acc ->
+ let q, _ , phi = Transition.node trs in
+ if eval_form phi node_summary f_set n_set p_set s_set then
+ StateSet.add q acc
+ else
+ acc) trans_list s_set
+ let eval_trans trans_list node_summary f_set n_set p_set s_set =
+ let rec loop old_s =
- let top_down run =
- let tree = run.tree in
- let auto = run.auto in
- let status = run.status in
- let cache2 = run.cache2 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 parent = T.parent tree node in
- let fc = T.first_child tree node in
- let fc_id = T.preorder tree fc in
- let ns = T.next_sibling tree node in
- let ns_id = T.preorder tree ns in
+ let new_s =
+ eval_trans_aux trans_list node_summary f_set n_set p_set old_s
+ in
+ if new_s == old_s then old_s else loop new_s
+ in
+ loop s_set
+
+ let dummy_set = StateSet.singleton State.dummy
+ let count = ref 0
+ let total = ref 0
+ let () = at_exit (fun () -> Format.eprintf "Cache miss: %i/%i\n%!" !count !total)
+
+ let eval_trans auto cache set tag node_summary f_set n_set p_set s_set =
+ incr total;
+ let i = (tag.QName.id :> int) in
+ let j = node_summary in
+ let k = (f_set.StateSet.id :> int) in
+ let l = (n_set.StateSet.id :> int) in
+ let m = (p_set.StateSet.id :> int) in
+ let n = (s_set.StateSet.id :> int) in
+ let res = Cache.N6.find cache i j k l m n in
+ if res == dummy_set then begin
+ incr count;
+ let trans_list = Ata.get_trans auto tag set in
+ let res = eval_trans trans_list node_summary f_set n_set p_set s_set in
+ Cache.N6.add cache i j k l m n res;
+ res
+ end
+ else res
+
+
+ let auto_run auto tree prev_nodes td_states bu_states exit_states _i =
+ if false then
+ Format.eprintf "Doing a td (with states: %a) and a bu (with states: %a), exit states are: %a @\n@."
+ StateSet.print td_states
+ StateSet.print bu_states
+ StateSet.print exit_states;
+ let td_cache = Cache.N6.create dummy_set in
+ let bu_cache = Cache.N6.create dummy_set in
+ let rec loop res node parent parent_set =
+ if node == T.nil then StateSet.empty else begin
+ let set,lset,rset =
+ if Sequence.is_empty prev_nodes then
+ StateSet.(empty,empty,empty)
+ else
+ let set,lset,rset, node' = Sequence.peek prev_nodes in
+ if node == node' then begin
+ ignore (Sequence.pop prev_nodes);
+ set,lset,rset
+ end
+ else
+ StateSet.(empty,empty,empty)
+ in
let tag = T.tag tree node in
- (* We enter the node from its parent *)
+ let first_child = T.first_child tree node in
+ let next_sibling = T.next_sibling tree node in
+ let node_summary = summary tree node parent first_child next_sibling in
- let status0 =
- let c = unsafe_get_status status node_id in
- if c == dummy_status then
- (* first time we visit the node *)
- NodeStatus.make
- { sat = StateSet.empty;
- todo = init_todo;
- summary = NodeSummary.make
- (node == T.first_child tree parent) (* is_left *)
- (node == T.next_sibling tree parent) (* is_right *)
- (fc != T.nil) (* has_left *)
- (ns != T.nil) (* has_right *)
- (T.kind tree node) (* kind *)
- }
- else c
+ let status1 =
+ eval_trans auto td_cache td_states tag node_summary lset rset parent_set set
in
- TRACE(html tree node _i config0 "Entering node");
-
- (* get the node_statuses for the first child, next sibling and parent *)
- let ps = unsafe_get_status status (T.preorder tree parent) in
- 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 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 *)
-
- if status1 != status0 then status.(node_id) <- status1;
- (* recursively traverse the first child *)
- let unstable_left = loop fc in
- (* here we re-enter the node from its first child,
- get the new status of the first child *)
- let fcs1 = unsafe_get_status status fc_id in
- (* update the status *)
- 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 auto cache2 cache5 tag fcs1 nss1 ps status2 in
+ let fcs = loop res first_child node status1 in
+ let rres = Sequence.create () in
+ let nss = loop rres next_sibling node status1 in
- TRACE(html tree node _i config3 "Updating transitions (after next-sibling)");
-
- if status3 != status2 then status.(node_id) <- status3;
-
- let unstable_self =
- (* if either our left or right child is unstable or if we still have transitions
- pending, the current node is unstable *)
- unstable_left
- || unstable_right
- || StateSet.empty != status3.NodeStatus.node.todo
+ let status2 =
+ eval_trans auto bu_cache bu_states tag node_summary fcs nss parent_set status1
in
- Bitvector.unsafe_set unstable node_id unstable_self;
- TRACE((if not unstable_self then
- Html.finalize_node
- node_id
- _i
- Ata.(StateSet.intersect config3.Config.node.sat auto.selection_states)));
- unstable_self
+ let mstates = StateSet.inter status2 exit_states in
+ if false then begin
+ Format.eprintf "On node %i (tag : %a) status0 = %a, status1 = %a, fcs = %a, nss = %a, par = %a, status2 = %a, mstates = %a@\n@."
+ (T.preorder tree node)
+ QName.print tag
+ StateSet.print set
+ StateSet.print status1
+ StateSet.print fcs
+ StateSet.print nss
+ StateSet.print parent_set
+ StateSet.print status2
+ StateSet.print mstates;
+ end;
+ if mstates != StateSet.empty then
+ Sequence.push_front (mstates,
+ StateSet.inter exit_states fcs,
+ StateSet.inter exit_states nss, node) res;
+ Sequence.append res rres;
+ status2
end
in
- run.redo <- loop (T.root tree);
- run.pass <- run.pass + 1
-
-(*
- let stats run =
- let count = ref 0 in
- let len = Bitvector.length run.unstable in
- for i = 0 to len - 1 do
- if not (Bitvector.unsafe_get run.unstable i) then
- incr count
- done;
- Logger.msg `STATS
- "%i nodes over %i were skipped in iteration %i (%.2f %%), redo is: %b"
- !count len run.pass (100. *. (float !count /. float len))
- run.redo
-
+ let res = Sequence.create () in
+ ignore (loop res (T.root tree) T.nil StateSet.empty);
+ if false then Format.eprintf "Finished pass: %i @\n-----------------------@\n@." _i;
+ res
+
+
+
+ let prepare_run auto l =
+ let res = Sequence.create () in
+ let start = Ata.get_starting_states auto in
+ Sequence.iter (fun n -> Sequence.push_back (start, StateSet.empty, StateSet.empty, n) res) l;
+ res
+
+
+ let main_eval auto tree nodes =
+ let s_nodes = prepare_run auto nodes in
+
+ let ranked_states = Ata.get_states_by_rank auto in
+ let acc = ref s_nodes in
+ let max_rank = Ata.get_max_rank auto in
+ for i = 0 to max_rank do
+ let open Ata in
+ let { td; bu; exit } = ranked_states.(i) in
+ acc := auto_run auto tree !acc td bu exit i;
+ if false then begin
+ Format.eprintf "Intermediate result is: @\n";
+ Sequence.iter (fun (s,_,_, n) ->
+ Format.eprintf "{%a, %i (%a)} "
+ StateSet.print s
+ (T.preorder tree n)
+ QName.print (T.tag tree n)) !acc;
+ Format.eprintf "@\n@.";
+ end
- let eval auto tree node =
- let len = T.size tree in
- let run = { config = Array.create len Ata.dummy_config;
- unstable = Bitvector.create ~init:true len;
- redo = true;
- pass = 0
- }
- in
- while run.redo do
- run.redo <- false;
- Ata.reset auto; (* prevents the .cache2 and .cache4 memoization tables from growing too much *)
- run.redo <- top_down_run auto tree node run;
- stats run;
- run.pass <- run.pass + 1;
done;
- at_exit (fun () -> Logger.msg `STATS "%i iterations" run.pass);
- at_exit (fun () -> stats run);
- let r = get_results auto tree node run.config in
-
- TRACE(Html.gen_trace (module T : Tree.S with type t = T.t) (tree));
+ !acc
+ let eval auto tree nodes =
+ let res = main_eval auto tree nodes in
+ let r = Sequence.create () in
+ Sequence.iter (fun (_,_,_, n) -> Sequence.push_back n r) res;
r
-*)
-
- let get_results run =
- let cache = run.status in
- let auto = run.auto in
- let tree = run.tree in
- let rec loop node acc =
- if node == T.nil then acc
- else
- let acc0 = loop (T.next_sibling tree node) acc in
- let acc1 = loop (T.first_child tree node) acc0 in
-
- if Ata.(
- StateSet.intersect
- cache.(T.preorder tree node).NodeStatus.node.sat
- (get_selecting_states auto)) then node::acc1
- else acc1
- in
- loop (T.root tree) []
-
-
- let get_full_results run =
- let cache = run.status in
- let auto = run.auto in
- let tree = run.tree in
- let res_mapper = Hashtbl.create MED_H_SIZE in
- let () =
- StateSet.iter
- (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 ->
- 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);
- 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
- 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 status0 =
- NodeStatus.make
- { sat = Ata.get_starting_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 *)
- (fc != T.nil) (* has_left *)
- (ns != T.nil) (* has_right *)
- (T.kind tree node) (* kind *)
- }
- in
- let node_id = T.preorder tree node in
- status.(node_id) <- status0) list
-
-
- let eval full auto tree nodes =
- let run = make auto tree in
- prepare_run run nodes;
- while run.redo do
- top_down run
- done;
- 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
- | _ -> assert false
-
- let eval auto tree nodes =
- match eval false auto tree nodes with
- `Normal l -> l
- | _ -> assert false
+ let res = main_eval auto tree nodes in
+ let dummy = Sequence.create () in
+ let cache = Cache.N1.create dummy in
+ Sequence.iter (fun (set, _, _, n) ->
+ StateSet.iter (fun q ->
+ let qres = Cache.N1.find cache q in
+ let qres =
+ if qres == dummy then begin
+ let s = Sequence.create () in
+ Cache.N1.add cache q s;
+ s
+ end
+ else qres
+ in
+ Sequence.push_back n qres) set )
+ res;
+ let l = StateSet.fold (fun q acc ->
+ let res = Cache.N1.find cache q in
+ (q, res) :: acc) (Ata.get_selecting_states auto) []
+ in
+ List.rev l
end