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d2b9ba9ae0
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4981194070
5 changed files with 15 additions and 66 deletions
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@ -8,8 +8,6 @@ module Interval : NAKED_VALUE_DOMAIN = struct
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let rand a b = { lower = Z.min a b; upper = Z.max a b }
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let infty = Z.of_int64_unsigned Int64.max_int
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let min_infty = Z.neg infty
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let pos = rand Z.one infty
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let neg = rand min_infty Z.minus_one
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let rand3 a b c =
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let mi = List.fold_left Z.min a [ a; b; c ] in
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@ -22,20 +20,19 @@ module Interval : NAKED_VALUE_DOMAIN = struct
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rand mi ma
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let minus z = rand (Z.neg z.upper) (Z.neg z.lower)
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let join z1 z2 = rand4 z1.lower z2.lower z1.upper z2.upper
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let meet z1 z2 =
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if Z.lt z1.upper z2.lower || Z.lt z2.upper z1.lower then raise Absurd
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else rand (Z.max z1.lower z2.lower) (Z.min z1.upper z2.upper)
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let widen z1 z2 =
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rand
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(if Z.lt z1.lower z2.lower then z1.lower else min_infty)
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(if Z.gt z1.upper z2.upper then z1.upper else infty)
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let narrow = meet
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let subset z1 z2 = Z.geq z1.lower z2.lower && Z.leq z1.upper z2.upper
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let binary z1 z2 = function
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| AST_PLUS -> rand (Z.add z1.lower z2.lower) (Z.add z1.upper z2.upper)
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| AST_MINUS -> rand (Z.sub z1.lower z2.upper) (Z.sub z1.upper z2.lower)
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@ -49,8 +46,7 @@ module Interval : NAKED_VALUE_DOMAIN = struct
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rand4 (Z.div z1.lower z2.lower) (Z.div z1.upper z2.lower)
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(Z.div z1.lower z2.upper) (Z.div z1.upper z2.upper)
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| AST_MODULO ->
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if Z.sign z2.lower <> Z.sign z2.upper || Z.sign z2.lower = 0 then
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raise Absurd
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if Z.sign z2.lower <> Z.sign z2.upper || Z.sign z2.lower = 0 then raise Absurd
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else
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rand4 (Z.rem z1.lower z2.lower) (Z.rem z1.upper z2.lower)
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(Z.rem z1.lower z2.upper) (Z.rem z1.upper z2.upper)
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@ -91,7 +87,7 @@ module Interval : NAKED_VALUE_DOMAIN = struct
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in
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let r2 =
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rand
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(if Z.geq z1.lower z2.lower then Z.succ z1.lower else z2.lower)
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(if Z.geq z1.lower z2.lower then Z.succ z2.lower else z1.lower)
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z2.upper
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in
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(r1, r2)
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@ -101,29 +97,8 @@ module Interval : NAKED_VALUE_DOMAIN = struct
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let r1 = rand z1.lower (Z.min z1.upper z2.upper) in
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let r2 = rand (Z.max z1.lower z2.lower) z2.upper in
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(r1, r2)
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| AST_GREATER ->
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let r1, r2 = compare z2 z1 AST_LESS in
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(r2, r1)
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| AST_GREATER_EQUAL ->
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let r1, r2 = compare z2 z1 AST_LESS_EQUAL in
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(r2, r1)
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let has_zero z = Z.leq z.lower Z.zero && Z.geq z.upper Z.zero
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let has_one z = Z.leq z.lower Z.one && Z.geq z.upper Z.one
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let has_minus_one z = Z.leq z.lower Z.minus_one && Z.geq z.upper Z.minus_one
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let three_part z1 z2 op =
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if has_one z2 then
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if has_minus_one z2 then
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let a = meet pos z2 in
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let b = meet neg z2 in
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join (binary z1 a op) (binary z1 b op)
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else
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let a = meet pos z2 in
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binary z1 a op
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else
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let a = meet neg z2 in
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binary z1 a op
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| AST_GREATER -> let r1, r2 = compare z2 z1 AST_LESS in r2, r1
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| AST_GREATER_EQUAL -> let r1, r2 = compare z2 z1 AST_LESS_EQUAL in r2, r1
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let bwd_binary z1 z2 op r =
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match op with
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@ -132,21 +107,12 @@ module Interval : NAKED_VALUE_DOMAIN = struct
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| AST_MINUS ->
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(meet z1 (binary r z2 AST_PLUS), meet z2 (binary z1 r AST_MINUS))
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| AST_MULTIPLY ->
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if is_only_zero z1 || is_only_zero z2 then
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if has_zero r then
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z1, z2
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else raise Absurd
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else
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let z2' = meet z2 (three_part r z1 AST_DIVIDE) in
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let z1' = meet z1 (three_part r z2 AST_DIVIDE) in
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if has_zero r then
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( (if has_zero z1' then join z1' (const Z.zero) else z1'),
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if has_zero z2' then join z2' (const Z.zero) else z2' )
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else (z1', z2')
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(meet z1 (binary r z2 AST_DIVIDE), meet z2 (binary r z1 AST_DIVIDE))
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| AST_DIVIDE ->
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(meet z1 (binary r z2 AST_MULTIPLY), meet z2 (binary z1 r AST_DIVIDE))
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| AST_MODULO -> (z1, z2)
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let print fmt z =
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Format.pp_print_string fmt "[";
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Z.pp_print fmt z.lower;
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@ -179,8 +179,6 @@ and node =
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node_pos: position; (* position in the source *)
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mutable node_out: arc list; (* arcs with this node as source *)
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mutable node_in: arc list; (* arcs with this node as destination *)
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mutable widen_target : bool; (* is node a candidate for widening : either head of structured loop
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or destination of goto in goto-made loop that doesn't have any widen-target *)
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}
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and arc =
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@ -231,7 +231,6 @@ let print_cfg fmt p =
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List.iter (fun a -> Format.fprintf fmt "%i " a.arc_src.node_id) n.node_in;
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Format.fprintf fmt "out:";
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List.iter (fun a -> Format.fprintf fmt "%i " a.arc_dst.node_id) n.node_out;
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if n.widen_target then Format.fprintf fmt "(widen target)";
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Format.fprintf fmt "\n";
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) p.cfg_nodes;
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Format.fprintf fmt "\n";
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@ -36,19 +36,19 @@ let node_counter = ref 0
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let nodes = ref []
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(* create a new node, with a fresh identifier and accumulate into nodes *)
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let create_node ?(widen_target) (pos:position) =
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let create_node (pos:position) =
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incr node_counter;
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let node =
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{ node_id = !node_counter;
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node_pos = pos;
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node_in = [];
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node_out = [];
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widen_target = match widen_target with | None -> false | Some b -> b;
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}
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in
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nodes := node::(!nodes);
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node
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let arcs = ref []
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let arc_counter = ref 0
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@ -456,7 +456,7 @@ let rec stat (env:env) (entry:node) (exit:node) (s:stat) : env =
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let env1, before, e = bool_expr env expr in
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(* entry --[before]--> entry1 *)
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let entry1 = append_inst entry before in
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let node_t = create_node ~widen_target:true (fst x1) in
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let node_t = create_node (fst x1) in
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(* entry1 --[expr]--> node_t *)
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add_arc entry1 node_t (CFG_guard e);
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(* entry1 --[!expr]--> node_f *)
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@ -487,7 +487,7 @@ let rec stat (env:env) (entry:node) (exit:node) (s:stat) : env =
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| Some (expr,_) -> bool_expr env1 expr
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in
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let head1 = append_inst head before in
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let node_t = create_node ~widen_target:true (fst x1) in
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let node_t = create_node (fst x1) in
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add_arc head1 node_t (CFG_guard e);
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add_arc head1 exit (CFG_guard (CFG_bool_unary (AST_NOT, e)));
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(* increment *)
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@ -550,16 +550,6 @@ and stat_list (env:env) (entry:node) (exit:node) (l:stat ext list) : env =
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stat_list env1 next exit rest
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(*
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(* Decorate a function graph with widen targets until all loops have at least one *)
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let make_widen_target (e:node) =
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List.iter (fun x -> if(x.node_id = e.node_id) then x.widen_target <- true) !nodes
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let rec ensure_widens (entry:node) =
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type color = Unseen | Opened | Visited
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let type colnode = color * node in
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()
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*)
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(* Translate a function *)
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@ -31,8 +31,7 @@ module Iterator (D : DOMAIN) = struct
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let node_abst n = try( NodeMap.find n !func_state )with Not_found -> D.bottom in
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let update_node n s =
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let acctor = if (n.widen_target) then D.widen else D.join in
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func_state := NodeMap.add n (acctor (node_abst n) s) !func_state in
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func_state := NodeMap.add n (D.join s (node_abst n)) !func_state in
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let rec iterate n = begin
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(*Format.printf "@[<h 0> Handling node %i@]@ " n.node_id;*)
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@ -41,11 +40,8 @@ module Iterator (D : DOMAIN) = struct
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let l = List.filter (fun x -> Node.equal x.arc_src n) cfg.cfg_arcs in begin
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List.iter (fun arc -> let s = do_inst curr_abst arc in
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if D.subset s (node_abst arc.arc_dst) then ()
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else (let str = if arc.arc_dst.widen_target then "widen" else "join" in
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Format.printf "@[<h 0>[%i -> %i] Got node %i state %a %s %a " n.node_id arc.arc_dst.node_id arc.arc_dst.node_id
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D.print (node_abst arc.arc_dst)
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str
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D.print s;
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else (Format.printf "@[<h 0>[%i -> %i] Got node %i state %a join %a " n.node_id arc.arc_dst.node_id arc.arc_dst.node_id
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D.print (node_abst arc.arc_dst) D.print s;
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update_node arc.arc_dst s;
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Format.printf "= %a@]@ " D.print (node_abst arc.arc_dst);
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func_dirty := NodeSet.add arc.arc_dst !func_dirty)) l;
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