(***********************************************************************)
INCLUDE "utils.ml"
+INCLUDE "debug.ml"
+
open Format
open Misc
+type stats = { run : int;
+ tree_size : int;
+ fetch_trans_cache_access : int;
+ fetch_trans_cache_hit : int;
+ eval_trans_cache_access : int;
+ eval_trans_cache_hit : int;
+ }
+
+let fetch_trans_cache_hit = ref 0
+let fetch_trans_cache_access = ref 0
+let eval_trans_cache_hit = ref 0
+let eval_trans_cache_access = ref 0
+let reset_stat_counters () =
+ fetch_trans_cache_hit := 0;
+ fetch_trans_cache_access := 0;
+ eval_trans_cache_hit := 0;
+ eval_trans_cache_access := 0
+
+
module Make (T : Tree.S) =
struct
type t = int
let dummy = -1
(*
- 4444444444443210
- 4 -> kind
- 3 -> is_left
- 2 -> is_right
+ 333333333333333210
+ 3333 -> kind
+ 2 -> has_right
1 -> has_left
- 0 -> has_right
+ 0 -> is_left/is_right
*)
+ let is_left (s : t) : bool =
+ s land 1 == 1
- let has_right (s : t) : bool =
- Obj.magic (s land 1)
+ let is_right (s : t) : bool =
+ s land 1 == 0
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)
+ (s lsr 1) land 1 == 1
- let is_left (s : t) : bool =
- Obj.magic ((s lsr 3) land 1)
+ let has_right (s : t) : bool =
+ (s lsr 2) land 1 == 1
let kind (s : t) : Tree.NodeKind.t =
- Obj.magic (s lsr 4)
+ Obj.magic (s lsr 3)
- 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
+ let make is_left has_left has_right kind =
+ (int_of_bool is_left) lor
((int_of_bool has_left) lsl 1) lor
- (int_of_bool has_right)
-
+ ((int_of_bool has_right) lsl 2) lor
+ ((Obj.magic kind) lsl 3)
end
type node_status = {
+ rank : int;
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 *)
+ (* 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 *)
type t = node_status
let equal c d =
c == d ||
+ c.rank == d.rank &&
c.sat == d.sat &&
c.todo == d.todo &&
c.summary == d.summary
let hash c =
- HASHINT3((c.sat.StateSet.id :> int),
+ HASHINT4(c.rank,
+ (c.sat.StateSet.id :> int),
(c.todo.StateSet.id :> int),
c.summary)
end
)
let print ppf s =
fprintf ppf
- "{ sat: %a; todo: %a; summary: _ }"
+ "{ rank: %i; sat: %a; todo: %a; summary: _ }"
+ s.node.rank
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;
- }
+ NodeStatus.make {
+ rank = -1;
+ sat = StateSet.empty;
+ todo = StateSet.empty;
+ summary = NodeSummary.dummy;
+ }
type run = {
(* 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;
+ mutable fetch_trans_cache : Ata.Formula.t Cache.N2.t;
(* A cache from states * label to list of transitions *)
- mutable cache5 : NodeStatus.t Cache.N5.t;
+ mutable td_cache : NodeStatus.t Cache.N5.t;
+ mutable bu_cache : 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
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;
+ fetch_trans_cache = Cache.N2.create dummy_form;
+ td_cache = Cache.N5.create dummy_status;
+ bu_cache = Cache.N5.create dummy_status;
}
let get_status a i =
IFDEF HTMLTRACE
THEN
-DEFINE TRACE(e) = (e)
+DEFINE IFTRACE(e) = (e)
ELSE
-DEFINE TRACE(e) = ()
+DEFINE IFTRACE(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
+ Html.trace ~msg:msg
+ (T.preorder tree node) i
+ config.todo
+ config.sat
+
let debug msg tree node i config =
StateSet.print config.todo
i
- let get_form cache2 auto tag q =
+ let get_form fetch_trans_cache auto tag q =
let phi =
- Cache.N2.find cache2 (tag.QName.id :> int) (q :> int)
+ incr fetch_trans_cache_access;
+ Cache.N2.find fetch_trans_cache (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
+ fetch_trans_cache
(tag.QName.id :> int)
(q :> int) phi
in phi
- else phi
+ else begin
+ incr fetch_trans_cache_hit;
+ phi
+ end
type trivalent = False | True | Unknown
let of_bool = function false -> False | true -> True
(* 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)
let open NodeSummary in
match a.Atom.node with
| Move (m, q) ->
- let { NodeStatus.node = n_sum; _ } as sum =
+ let down, ({ NodeStatus.node = n_sum; _ } as sum) =
match m with
- `First_child -> fcs
- | `Next_sibling -> nss
- | `Parent | `Previous_sibling -> ps
- | `Stay -> ss
+ `First_child -> true, fcs
+ | `Next_sibling -> true, nss
+ | `Parent | `Previous_sibling -> false, ps
+ | `Stay -> false, ss
in
- if sum == dummy_status || StateSet.mem q n_sum.todo then
+ if sum == dummy_status
+ (*|| (down && n_sum.rank < ss.NodeStatus.node.rank) *)
+ || StateSet.mem q n_sum.todo then
Unknown
else
of_bool (b == StateSet.mem q n_sum.sat)
loop phi
- let eval_trans_aux auto cache2 tag fcs nss ps old_status =
+ let eval_trans_aux auto fetch_trans_cache tag fcs nss ps old_status =
let { sat = old_sat;
todo = old_todo;
summary = old_summary } as os_node = old_status.NodeStatus.node
let sat, todo =
StateSet.fold (fun q ((a_sat, a_todo) as acc) ->
let phi =
- get_form cache2 auto tag q
+ get_form fetch_trans_cache 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
else old_status
- 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
+ let rec eval_trans_fix auto fetch_trans_cache tag fcs nss ps old_status =
+ let new_status =
+ eval_trans_aux auto fetch_trans_cache tag fcs nss ps old_status
in
+ if new_status == old_status then old_status else
+ eval_trans_fix auto fetch_trans_cache tag fcs nss ps new_status
+
+
+ let eval_trans auto fetch_trans_cache td_cache tag fcs nss ps ss =
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;
+ let res = Cache.N5.find td_cache tagid ssid fcsid nssid psid in
+ incr eval_trans_cache_access;
+ if res != dummy_status then begin incr eval_trans_cache_hit; res end
+ else let new_status = eval_trans_fix auto fetch_trans_cache tag fcs nss ps ss in
+ Cache.N5.add td_cache tagid ssid fcsid nssid psid new_status;
new_status
-
-
let top_down run =
+ let i = run.pass in
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 fetch_trans_cache = run.fetch_trans_cache in
+ let td_cache = run.td_cache in
+ let bu_cache = run.bu_cache in
+ let states_by_rank = Ata.get_states_by_rank auto in
+ let td_todo = states_by_rank.(i) in
+ let bu_todo = if i + 1 = Array.length states_by_rank then StateSet.empty
+ else
+ states_by_rank.(i+1)
+ in
+ let rec loop_td_and_bu node =
+ if node == T.nil then () else begin
+ let node_id = T.preorder tree node in
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_id = T.preorder tree ns in
let tag = T.tag tree node in
(* We enter the node from its parent *)
-
let status0 =
let c = unsafe_get_status status node_id in
- if c == dummy_status then
- (* first time we visit the node *)
+ if c.NodeStatus.node.rank < i then
+ (* first time we visit the node during this run *)
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 *)
+ { rank = i;
+ sat = c.NodeStatus.node.sat;
+ todo = td_todo;
+ summary =
+ let summary = c.NodeStatus.node.summary in
+ if summary != NodeSummary.dummy then summary
+ else
+ NodeSummary.make
+ (node != T.next_sibling tree parent)
+ (fc != T.nil) (* has_left *)
+ (ns != T.nil) (* has_right *)
+ (T.kind tree node) (* kind *)
}
else c
in
- TRACE(html tree node _i config0 "Entering node");
-
+ let () = Logger.msg `STATS "Run %i, Node %a, %a@\n"
+ i QName.print tag NodeStatus.print status0
+ in
(* 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;
+ let status1 =
+ if status0.NodeStatus.node.todo == StateSet.empty then status0
+ else begin
+ let status1 = eval_trans auto fetch_trans_cache td_cache tag fcs nss ps status0 in
+ (* update the cache if the status of the node changed *)
+ if status1 != status0 then status.(node_id) <- status1;
+ status1
+ end
+ in
+ let () = Logger.msg `STATS "Run %i, Node %a, %a@\n"
+ i QName.print tag NodeStatus.print status1
+ in
(* recursively traverse the first child *)
- let unstable_left = loop fc in
+ let () = loop_td_and_bu 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 status1 = if status1.NodeStatus.node.rank < i+1 then
+ NodeStatus.make { status1.NodeStatus.node with
+ rank = i+1;
+ todo = bu_todo }
+ else
+ status1
+ in
+ let status2 =
+ if status1.NodeStatus.node.todo == StateSet.empty then status1
+ else begin
+ let status2 = eval_trans auto fetch_trans_cache bu_cache tag fcs1 nss ps status1 in
+ if status2 != status1 then status.(node_id) <- status2;
+ status2
+ end
+ in
+ let () = Logger.msg `STATS "Run %i, Node %a, %a@\n"
+ (i+1) QName.print tag NodeStatus.print status2
+ in
+ let () = loop_td_and_bu ns in
let nss1 = unsafe_get_status status ns_id 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)");
+ if status2.NodeStatus.node.todo != StateSet.empty then
+ let status3 = eval_trans auto fetch_trans_cache bu_cache tag fcs1 nss1 ps status2 in
+ let () = Logger.msg `STATS "Run %i, Node %a, %a@\n"
+ (i+1) QName.print tag NodeStatus.print status3
+ in
- 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
- 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
+ if status3 != status2 then status.(node_id) <- status3
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 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
+ and loop_td_only node =
+ if node == T.nil then () else begin
+ let node_id = T.preorder tree node in
+ 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 tag = T.tag tree node in
+ (* We enter the node from its parent *)
+ let status0 =
+ let c = unsafe_get_status status node_id in
+ if c.NodeStatus.node.rank < i then
+ (* first time we visit the node during this run *)
+ NodeStatus.make
+ { rank = i;
+ sat = c.NodeStatus.node.sat;
+ todo = td_todo;
+ summary =
+ let summary = c.NodeStatus.node.summary in
+ if summary != NodeSummary.dummy then summary
+ else
+ NodeSummary.make
+ (node != T.next_sibling tree parent)
+ (fc != T.nil) (* has_left *)
+ (ns != T.nil) (* has_right *)
+ (T.kind tree node) (* kind *)
}
- 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
+ else c
+ in
+ let () = Logger.msg `STATS "Run %i, Node %a, %a@\n"
+ (i) QName.print tag NodeStatus.print status0
+ in
- TRACE(Html.gen_trace (module T : Tree.S with type t = T.t) (tree));
+ (* 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 *)
+ if status0.NodeStatus.node.todo != StateSet.empty then begin
+ let status1 = eval_trans auto fetch_trans_cache td_cache tag fcs nss ps status0 in
+ (* update the cache if the status of the node changed *)
+ let () = Logger.msg `STATS "Run %i, Node %a, %a@\n"
+ (i) QName.print tag NodeStatus.print status1
+ in
+
+ if status1 != status0 then status.(node_id) <- status1;
+ end;
+ (* recursively traverse the first child *)
+ loop_td_only fc;
+ loop_td_only ns
+ end
+ in
+ if bu_todo == StateSet.empty then
+ let () = loop_td_only (T.root tree) in
+ run.pass <- run.pass + 1
+ else
+ let () = loop_td_and_bu (T.root tree) in
+ run.pass <- run.pass + 2
- r
-*)
let get_results run =
let cache = run.status in
let auto = run.auto in
let tree = run.tree in
+ let sel_states = Ata.get_selecting_states auto 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
+ if StateSet.intersect
+ cache.(T.preorder tree node).NodeStatus.node.sat
+ sel_states then node::acc1
else acc1
in
loop (T.root tree) []
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) [])
+ (StateSet.fold_right
+ (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 ns = T.next_sibling tree node in
let status0 =
NodeStatus.make
- { sat = Ata.get_starting_states auto;
+ { rank = 0;
+ 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 *)
+ (node != T.next_sibling tree parent) (* is_left *)
(fc != T.nil) (* has_left *)
(ns != T.nil) (* has_right *)
(T.kind tree node) (* kind *)
let node_id = T.preorder tree node in
status.(node_id) <- status0) list
-
- let eval full auto tree nodes =
+ let tree_size = ref 0
+ let pass = ref 0
+ let compute_run auto tree nodes =
+ pass := 0;
+ tree_size := T.size tree;
let run = make auto tree in
prepare_run run nodes;
- while run.redo do
- top_down run
+ let rank = Ata.get_max_rank auto in
+ while run.pass <= rank do
+ top_down run;
+ run.td_cache <- Cache.N5.create dummy_status;
+ run.bu_cache <- Cache.N5.create dummy_status;
done;
- if full then `Full (get_full_results run)
- else `Normal (get_results run)
+ pass := Ata.get_max_rank auto + 1;
+ IFTRACE(Html.gen_trace auto (module T : Tree.S with type t = T.t) tree);
+
+ run
let full_eval auto tree nodes =
- match eval true auto tree nodes with
- `Full l -> l
- | _ -> assert false
+ let r = compute_run auto tree nodes in
+ get_full_results r
let eval auto tree nodes =
- match eval false auto tree nodes with
- `Normal l -> l
- | _ -> assert false
+ let r = compute_run auto tree nodes in
+ get_results r
+
+ let stats () = {
+ tree_size = !tree_size;
+ run = !pass;
+ fetch_trans_cache_access = !fetch_trans_cache_access;
+ fetch_trans_cache_hit = !fetch_trans_cache_hit;
+ eval_trans_cache_access = !eval_trans_cache_access;
+ eval_trans_cache_hit = !eval_trans_cache_hit;
+ }
end