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-(*
- *
- * Copyright (c) 2001-2002,
- * John Kodumal <jkodumal@eecs.berkeley.edu>
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are
- * met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- *
- * 3. The names of the contributors may not be used to endorse or promote
- * products derived from this software without specific prior written
- * permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
- * IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
- * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
- * PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
- * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
- * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
- * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
- * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
- * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
- * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
- * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- *
- *)
-
-(***********************************************************************)
-(* *)
-(* Exceptions *)
-(* *)
-(***********************************************************************)
-
-exception Inconsistent (* raised if constraint system is inconsistent *)
-exception WellFormed (* raised if types are not well-formed *)
-exception NoContents
-exception APFound (* raised if an alias pair is found, a control
- flow exception *)
-
-
-module U = Uref
-module S = Setp
-module H = Hashtbl
-module Q = Queue
-
-
-(** Subtyping kinds *)
-type polarity =
- Pos
- | Neg
- | Sub
-
-(** Path kinds, for CFL reachability *)
-type pkind =
- Positive
- | Negative
- | Match
- | Seed
-
-(** Context kinds -- open or closed *)
-type context =
- Open
- | Closed
-
-(* A configuration is a context (open or closed) coupled with a pair
- of stamps representing a state in the cartesian product DFA. *)
-type configuration = context * int * int
-
-module ConfigHash =
-struct
- type t = configuration
- let equal t t' = t = t'
- let hash t = Hashtbl.hash t
-end
-
-module CH = H.Make (ConfigHash)
-
-type config_map = unit CH.t
-
-(** Generic bounds *)
-type 'a bound = {index : int; info : 'a U.uref}
-
-(** For label paths. *)
-type 'a path = {
- kind : pkind;
- reached_global : bool;
- head : 'a U.uref;
- tail : 'a U.uref
-}
-
-module Bound =
-struct
- type 'a t = 'a bound
- let compare (x : 'a t) (y : 'a t) =
- if U.equal (x.info, y.info) then x.index - y.index
- else Pervasives.compare (U.deref x.info) (U.deref y.info)
-end
-
-module Path =
-struct
- type 'a t = 'a path
- let compare (x : 'a t) (y : 'a t) =
- if U.equal (x.head, y.head) then
- begin
- if U.equal (x.tail, y.tail) then
- begin
- if x.reached_global = y.reached_global then
- Pervasives.compare x.kind y.kind
- else Pervasives.compare x.reached_global y.reached_global
- end
- else Pervasives.compare (U.deref x.tail) (U.deref y.tail)
- end
- else Pervasives.compare (U.deref x.head) (U.deref y.head)
-end
-
-module B = S.Make (Bound)
-
-module P = S.Make (Path)
-
-type 'a boundset = 'a B.t
-
-type 'a pathset = 'a P.t
-
-(** Constants, which identify elements in points-to sets *)
-(** jk : I'd prefer to make this an 'a constant and specialize it to varinfo
- for use with the Cil frontend, but for now, this will do *)
-type constant = int * string * Cil.varinfo
-
-module Constant =
-struct
- type t = constant
- let compare (xid, _, _) (yid, _, _) = xid - yid
-end
-module C = Set.Make (Constant)
-
-(** Sets of constants. Set union is used when two labels containing
- constant sets are unified *)
-type constantset = C.t
-
-type lblinfo = {
- mutable l_name: string;
- (** either empty or a singleton, the initial location for this label *)
- loc : constantset;
- (** Name of this label *)
- l_stamp : int;
- (** Unique integer for this label *)
- mutable l_global : bool;
- (** True if this location is globally accessible *)
- mutable aliases: constantset;
- (** Set of constants (tags) for checking aliases *)
- mutable p_lbounds: lblinfo boundset;
- (** Set of umatched (p) lower bounds *)
- mutable n_lbounds: lblinfo boundset;
- (** Set of unmatched (n) lower bounds *)
- mutable p_ubounds: lblinfo boundset;
- (** Set of umatched (p) upper bounds *)
- mutable n_ubounds: lblinfo boundset;
- (** Set of unmatched (n) upper bounds *)
- mutable m_lbounds: lblinfo boundset;
- (** Set of matched (m) lower bounds *)
- mutable m_ubounds: lblinfo boundset;
- (** Set of matched (m) upper bounds *)
-
- mutable m_upath: lblinfo pathset;
- mutable m_lpath: lblinfo pathset;
- mutable n_upath: lblinfo pathset;
- mutable n_lpath: lblinfo pathset;
- mutable p_upath: lblinfo pathset;
- mutable p_lpath: lblinfo pathset;
-
- mutable l_seeded : bool;
- mutable l_ret : bool;
- mutable l_param : bool;
-}
-
-(** Constructor labels *)
-and label = lblinfo U.uref
-
-(** The type of lvalues. *)
-type lvalue = {
- l: label;
- contents: tau
-}
-
-and vinfo = {
- v_stamp : int;
- v_name : string;
-
- mutable v_hole : (int,unit) H.t;
- mutable v_global : bool;
- mutable v_mlbs : tinfo boundset;
- mutable v_mubs : tinfo boundset;
- mutable v_plbs : tinfo boundset;
- mutable v_pubs : tinfo boundset;
- mutable v_nlbs : tinfo boundset;
- mutable v_nubs : tinfo boundset
-}
-
-and rinfo = {
- r_stamp : int;
- rl : label;
- points_to : tau;
- mutable r_global: bool;
-}
-
-and finfo = {
- f_stamp : int;
- fl : label;
- ret : tau;
- mutable args : tau list;
- mutable f_global : bool;
-}
-
-and pinfo = {
- p_stamp : int;
- ptr : tau;
- lam : tau;
- mutable p_global : bool;
-}
-
-and tinfo = Var of vinfo
- | Ref of rinfo
- | Fun of finfo
- | Pair of pinfo
-
-and tau = tinfo U.uref
-
-type tconstraint = Unification of tau * tau
- | Leq of tau * (int * polarity) * tau
-
-
-(** Association lists, used for printing recursive types. The first element
- is a type that has been visited. The second element is the string
- representation of that type (so far). If the string option is set, then
- this type occurs within itself, and is associated with the recursive var
- name stored in the option. When walking a type, add it to an association
- list.
-
- Example : suppose we have the constraint 'a = ref('a). The type is unified
- via cyclic unification, and would loop infinitely if we attempted to print
- it. What we want to do is print the type u rv. ref(rv). This is accomplished
- in the following manner:
-
- -- ref('a) is visited. It is not in the association list, so it is added
- and the string "ref(" is stored in the second element. We recurse to print
- the first argument of the constructor.
-
- -- In the recursive call, we see that 'a (or ref('a)) is already in the
- association list, so the type is recursive. We check the string option,
- which is None, meaning that this is the first recurrence of the type. We
- create a new recursive variable, rv and set the string option to 'rv. Next,
- we prepend u rv. to the string representation we have seen before, "ref(",
- and return "rv" as the string representation of this type.
-
- -- The string so far is "u rv.ref(". The recursive call returns, and we
- complete the type by printing the result of the call, "rv", and ")"
-
- In a type where the recursive variable appears twice, e.g. 'a = pair('a,'a),
- the second time we hit 'a, the string option will be set, so we know to
- reuse the same recursive variable name.
-*)
-type association = tau * string ref * string option ref
-
-module PathHash =
-struct
- type t = int list
- let equal t t' = t = t'
- let hash t = Hashtbl.hash t
-end
-
-module PH = H.Make (PathHash)
-
-(***********************************************************************)
-(* *)
-(* Global Variables *)
-(* *)
-(***********************************************************************)
-
-(** Print the instantiations constraints. *)
-let print_constraints : bool ref = ref false
-
-(** If true, print all constraints (including induced) and show
- additional debug output. *)
-let debug = ref false
-
-(** Just debug all the constraints (including induced) *)
-let debug_constraints = ref false
-
-(** Debug smart alias queries *)
-let debug_aliases = ref false
-
-let smart_aliases = ref false
-
-(** If true, make the flow step a no-op *)
-let no_flow = ref false
-
-(** If true, disable subtyping (unification at all levels) *)
-let no_sub = ref false
-
-(** If true, treat indexed edges as regular subtyping *)
-let analyze_mono = ref true
-
-(** A list of equality constraints. *)
-let eq_worklist : tconstraint Q.t = Q.create ()
-
-(** A list of leq constraints. *)
-let leq_worklist : tconstraint Q.t = Q.create ()
-
-let path_worklist : (lblinfo path) Q.t = Q.create ()
-
-let path_hash : (lblinfo path) PH.t = PH.create 32
-
-(** A count of the constraints introduced from the AST. Used for debugging. *)
-let toplev_count = ref 0
-
-(** A hashtable containing stamp pairs of labels that must be aliased. *)
-let cached_aliases : (int * int,unit) H.t = H.create 64
-
-(** A hashtable mapping pairs of tau's to their join node. *)
-let join_cache : (int * int, tau) H.t = H.create 64
-
-(***********************************************************************)
-(* *)
-(* Utility Functions *)
-(* *)
-(***********************************************************************)
-
-let find = U.deref
-
-let die s =
- Printf.printf "*******\nAssertion failed: %s\n*******\n" s;
- assert false
-
-let fresh_appsite : (unit -> int) =
- let appsite_index = ref 0 in
- fun () ->
- incr appsite_index;
- !appsite_index
-
-(** Generate a unique integer. *)
-let fresh_index : (unit -> int) =
- let counter = ref 0 in
- fun () ->
- incr counter;
- !counter
-
-let fresh_stamp : (unit -> int) =
- let stamp = ref 0 in
- fun () ->
- incr stamp;
- !stamp
-
-(** Return a unique integer representation of a tau *)
-let get_stamp (t : tau) : int =
- match find t with
- Var v -> v.v_stamp
- | Ref r -> r.r_stamp
- | Pair p -> p.p_stamp
- | Fun f -> f.f_stamp
-
-(** Negate a polarity. *)
-let negate (p : polarity) : polarity =
- match p with
- Pos -> Neg
- | Neg -> Pos
- | Sub -> die "negate"
-
-(** Consistency checks for inferred types *)
-let pair_or_var (t : tau) =
- match find t with
- Pair _ -> true
- | Var _ -> true
- | _ -> false
-
-let ref_or_var (t : tau) =
- match find t with
- Ref _ -> true
- | Var _ -> true
- | _ -> false
-
-let fun_or_var (t : tau) =
- match find t with
- Fun _ -> true
- | Var _ -> true
- | _ -> false
-
-
-
-(** Apply [f] structurally down [t]. Guaranteed to terminate, even if [t]
- is recursive *)
-let iter_tau f t =
- let visited : (int,tau) H.t = H.create 4 in
- let rec iter_tau' t =
- if H.mem visited (get_stamp t) then () else
- begin
- f t;
- H.add visited (get_stamp t) t;
- match U.deref t with
- Pair p ->
- iter_tau' p.ptr;
- iter_tau' p.lam
- | Fun f ->
- List.iter iter_tau' (f.args);
- iter_tau' f.ret
- | Ref r -> iter_tau' r.points_to
- | _ -> ()
- end
- in
- iter_tau' t
-
-(* Extract a label's bounds according to [positive] and [upper]. *)
-let get_bounds (p :polarity ) (upper : bool) (l : label) : lblinfo boundset =
- let li = find l in
- match p with
- Pos -> if upper then li.p_ubounds else li.p_lbounds
- | Neg -> if upper then li.n_ubounds else li.n_lbounds
- | Sub -> if upper then li.m_ubounds else li.m_lbounds
-
-let equal_tau (t : tau) (t' : tau) =
- get_stamp t = get_stamp t'
-
-let get_label_stamp (l : label) : int =
- (find l).l_stamp
-
-(** Return true if [t] is global (treated monomorphically) *)
-let get_global (t : tau) : bool =
- match find t with
- Var v -> v.v_global
- | Ref r -> r.r_global
- | Pair p -> p.p_global
- | Fun f -> f.f_global
-
-let is_ret_label l = (find l).l_ret || (find l).l_global (* todo - check *)
-
-let is_param_label l = (find l).l_param || (find l).l_global
-
-let is_global_label l = (find l).l_global
-
-let is_seeded_label l = (find l).l_seeded
-
-let set_global_label (l : label) (b : bool) : unit =
- assert ((not (is_global_label l)) || b);
- (U.deref l).l_global <- b
-
-(** Aliases for set_global *)
-let global_tau = get_global
-
-
-(** Get_global for lvalues *)
-let global_lvalue lv = get_global lv.contents
-
-
-
-(***********************************************************************)
-(* *)
-(* Printing Functions *)
-(* *)
-(***********************************************************************)
-
-let string_of_configuration (c, i, i') =
- let context = match c with
- Open -> "O"
- | Closed -> "C"
- in
- Printf.sprintf "(%s,%d,%d)" context i i'
-
-let string_of_polarity p =
- match p with
- Pos -> "+"
- | Neg -> "-"
- | Sub -> "M"
-
-(** Convert a label to a string, short representation *)
-let string_of_label (l : label) : string =
- "\"" ^ (find l).l_name ^ "\""
-
-(** Return true if the element [e] is present in the association list,
- according to uref equality *)
-let rec assoc_list_mem (e : tau) (l : association list) =
- match l with
- | [] -> None
- | (h, s, so) :: t ->
- if U.equal (h,e) then Some (s, so) else assoc_list_mem e t
-
-(** Given a tau, create a unique recursive variable name. This should always
- return the same name for a given tau *)
-let fresh_recvar_name (t : tau) : string =
- match find t with
- Pair p -> "rvp" ^ string_of_int p.p_stamp
- | Ref r -> "rvr" ^ string_of_int r.r_stamp
- | Fun f -> "rvf" ^ string_of_int f.f_stamp
- | _ -> die "fresh_recvar_name"
-
-
-(** Return a string representation of a tau, using association lists. *)
-let string_of_tau (t : tau) : string =
- let tau_map : association list ref = ref [] in
- let rec string_of_tau' t =
- match assoc_list_mem t !tau_map with
- Some (s, so) -> (* recursive type. see if a var name has been set *)
- begin
- match !so with
- None ->
- let rv = fresh_recvar_name t in
- s := "u " ^ rv ^ "." ^ !s;
- so := Some rv;
- rv
- | Some rv -> rv
- end
- | None -> (* type's not recursive. Add it to the assoc list and cont. *)
- let s = ref ""
- and so : string option ref = ref None in
- tau_map := (t, s, so) :: !tau_map;
- begin
- match find t with
- Var v -> s := v.v_name;
- | Pair p ->
- assert (ref_or_var p.ptr);
- assert (fun_or_var p.lam);
- s := "{";
- s := !s ^ string_of_tau' p.ptr;
- s := !s ^ ",";
- s := !s ^ string_of_tau' p.lam;
- s := !s ^"}"
- | Ref r ->
- assert (pair_or_var r.points_to);
- s := "ref(|";
- s := !s ^ string_of_label r.rl;
- s := !s ^ "|,";
- s := !s ^ string_of_tau' r.points_to;
- s := !s ^ ")"
- | Fun f ->
- assert (pair_or_var f.ret);
- let rec string_of_args = function
- h :: [] ->
- assert (pair_or_var h);
- s := !s ^ string_of_tau' h
- | h :: t ->
- assert (pair_or_var h);
- s := !s ^ string_of_tau' h ^ ",";
- string_of_args t
- | [] -> ()
- in
- s := "fun(|";
- s := !s ^ string_of_label f.fl;
- s := !s ^ "|,";
- s := !s ^ "<";
- if List.length f.args > 0 then string_of_args f.args
- else s := !s ^ "void";
- s := !s ^">,";
- s := !s ^ string_of_tau' f.ret;
- s := !s ^ ")"
- end;
- tau_map := List.tl !tau_map;
- !s
- in
- string_of_tau' t
-
-(** Convert an lvalue to a string *)
-let rec string_of_lvalue (lv : lvalue) : string =
- let contents = string_of_tau lv.contents
- and l = string_of_label lv.l in
- assert (pair_or_var lv.contents); (* do a consistency check *)
- Printf.sprintf "[%s]^(%s)" contents l
-
-let print_path (p : lblinfo path) : unit =
- let string_of_pkind = function
- Positive -> "p"
- | Negative -> "n"
- | Match -> "m"
- | Seed -> "s"
- in
- Printf.printf
- "%s --%s--> %s (%d) : "
- (string_of_label p.head)
- (string_of_pkind p.kind)
- (string_of_label p.tail)
- (PathHash.hash p)
-
-(** Print a list of tau elements, comma separated *)
-let rec print_tau_list (l : tau list) : unit =
- let rec print_t_strings = function
- h :: [] -> print_endline h
- | h :: t ->
- print_string h;
- print_string ", ";
- print_t_strings t
- | [] -> ()
- in
- print_t_strings (List.map string_of_tau l)
-
-let print_constraint (c : tconstraint) =
- match c with
- Unification (t, t') ->
- let lhs = string_of_tau t
- and rhs = string_of_tau t' in
- Printf.printf "%s == %s\n" lhs rhs
- | Leq (t, (i, p), t') ->
- let lhs = string_of_tau t
- and rhs = string_of_tau t' in
- Printf.printf "%s <={%d,%s} %s\n" lhs i (string_of_polarity p) rhs
-
-(***********************************************************************)
-(* *)
-(* Type Operations -- these do not create any constraints *)
-(* *)
-(***********************************************************************)
-
-(** Create an lvalue with label [lbl] and tau contents [t]. *)
-let make_lval (lbl, t : label * tau) : lvalue =
- {l = lbl; contents = t}
-
-let make_label_int (is_global : bool) (name :string) (vio : Cil.varinfo option) : label =
- let locc =
- match vio with
- Some vi -> C.add (fresh_index (), name, vi) C.empty
- | None -> C.empty
- in
- U.uref {
- l_name = name;
- l_global = is_global;
- l_stamp = fresh_stamp ();
- loc = locc;
- aliases = locc;
- p_ubounds = B.empty;
- p_lbounds = B.empty;
- n_ubounds = B.empty;
- n_lbounds = B.empty;
- m_ubounds = B.empty;
- m_lbounds = B.empty;
- m_upath = P.empty;
- m_lpath = P.empty;
- n_upath = P.empty;
- n_lpath = P.empty;
- p_upath = P.empty;
- p_lpath = P.empty;
- l_seeded = false;
- l_ret = false;
- l_param = false
- }
-
-(** Create a new label with name [name]. Also adds a fresh constant
- with name [name] to this label's aliases set. *)
-let make_label (is_global : bool) (name : string) (vio : Cil.varinfo option) : label =
- make_label_int is_global name vio
-
-(** Create a new label with an unspecified name and an empty alias set. *)
-let fresh_label (is_global : bool) : label =
- let index = fresh_index () in
- make_label_int is_global ("l_" ^ string_of_int index) None
-
-(** Create a fresh bound (edge in the constraint graph). *)
-let make_bound (i, a : int * label) : lblinfo bound =
- {index = i; info = a}
-
-let make_tau_bound (i, a : int * tau) : tinfo bound =
- {index = i; info = a}
-
-(** Create a fresh named variable with name '[name]. *)
-let make_var (b: bool) (name : string) : tau =
- U.uref (Var {v_name = ("'" ^ name);
- v_hole = H.create 8;
- v_stamp = fresh_index ();
- v_global = b;
- v_mlbs = B.empty;
- v_mubs = B.empty;
- v_plbs = B.empty;
- v_pubs = B.empty;
- v_nlbs = B.empty;
- v_nubs = B.empty})
-
-(** Create a fresh unnamed variable (name will be 'fv). *)
-let fresh_var (is_global : bool) : tau =
- make_var is_global ("fv" ^ string_of_int (fresh_index ()))
-
-(** Create a fresh unnamed variable (name will be 'fi). *)
-let fresh_var_i (is_global : bool) : tau =
- make_var is_global ("fi" ^ string_of_int (fresh_index()))
-
-(** Create a Fun constructor. *)
-let make_fun (lbl, a, r : label * (tau list) * tau) : tau =
- U.uref (Fun {fl = lbl;
- f_stamp = fresh_index ();
- f_global = false;
- args = a;
- ret = r })
-
-(** Create a Ref constructor. *)
-let make_ref (lbl,pt : label * tau) : tau =
- U.uref (Ref {rl = lbl;
- r_stamp = fresh_index ();
- r_global = false;
- points_to = pt})
-
-(** Create a Pair constructor. *)
-let make_pair (p,f : tau * tau) : tau =
- U.uref (Pair {ptr = p;
- p_stamp = fresh_index ();
- p_global = false;
- lam = f})
-
-(** Copy the toplevel constructor of [t], putting fresh variables in each
- argement of the constructor. *)
-let copy_toplevel (t : tau) : tau =
- match find t with
- Pair _ -> make_pair (fresh_var_i false, fresh_var_i false)
- | Ref _ -> make_ref (fresh_label false, fresh_var_i false)
- | Fun f ->
- let fresh_fn = fun _ -> fresh_var_i false in
- make_fun (fresh_label false,
- List.map fresh_fn f.args, fresh_var_i false)
- | _ -> die "copy_toplevel"
-
-
-let has_same_structure (t : tau) (t' : tau) =
- match find t, find t' with
- Pair _, Pair _ -> true
- | Ref _, Ref _ -> true
- | Fun _, Fun _ -> true
- | Var _, Var _ -> true
- | _ -> false
-
-
-let pad_args (f, f' : finfo * finfo) : unit =
- let padding = ref ((List.length f.args) - (List.length f'.args))
- in
- if !padding == 0 then ()
- else
- let to_pad =
- if !padding > 0 then f' else (padding := -(!padding); f)
- in
- for i = 1 to !padding do
- to_pad.args <- to_pad.args @ [fresh_var false]
- done
-
-
-let pad_args2 (fi, tlr : finfo * tau list ref) : unit =
- let padding = ref (List.length fi.args - List.length !tlr)
- in
- if !padding == 0 then ()
- else
- if !padding > 0 then
- for i = 1 to !padding do
- tlr := !tlr @ [fresh_var false]
- done
- else
- begin
- padding := -(!padding);
- for i = 1 to !padding do
- fi.args <- fi.args @ [fresh_var false]
- done
- end
-
-(***********************************************************************)
-(* *)
-(* Constraint Generation/ Resolution *)
-(* *)
-(***********************************************************************)
-
-
-(** Make the type a global type *)
-let set_global (t : tau) (b : bool) : unit =
- let set_global_down t =
- match find t with
- Var v -> v.v_global <- true
- | Ref r -> set_global_label r.rl true
- | Fun f -> set_global_label f.fl true
- | _ -> ()
- in
- if !debug && b then Printf.printf "Set global: %s\n" (string_of_tau t);
- assert ((not (get_global t)) || b);
- if b then iter_tau set_global_down t;
- match find t with
- Var v -> v.v_global <- b
- | Ref r -> r.r_global <- b
- | Pair p -> p.p_global <- b
- | Fun f -> f.f_global <- b
-
-
-let rec unify_int (t, t' : tau * tau) : unit =
- if equal_tau t t' then ()
- else
- let ti, ti' = find t, find t' in
- U.unify combine (t, t');
- match ti, ti' with
- Var v, Var v' ->
- set_global t' (v.v_global || get_global t');
- merge_vholes (v, v');
- merge_vlbs (v, v');
- merge_vubs (v, v')
- | Var v, _ ->
- set_global t' (v.v_global || get_global t');
- trigger_vhole v t';
- notify_vlbs t v;
- notify_vubs t v
- | _, Var v ->
- set_global t (v.v_global || get_global t);
- trigger_vhole v t;
- notify_vlbs t' v;
- notify_vubs t' v
- | Ref r, Ref r' ->
- set_global t (r.r_global || r'.r_global);
- unify_ref (r, r')
- | Fun f, Fun f' ->
- set_global t (f.f_global || f'.f_global);
- unify_fun (f, f')
- | Pair p, Pair p' -> ()
- | _ -> raise Inconsistent
-and notify_vlbs (t : tau) (vi : vinfo) : unit =
- let notify p bounds =
- List.iter
- (fun b ->
- add_constraint (Unification (b.info,copy_toplevel t));
- add_constraint (Leq (b.info, (b.index, p), t)))
- bounds
- in
- notify Sub (B.elements vi.v_mlbs);
- notify Pos (B.elements vi.v_plbs);
- notify Neg (B.elements vi.v_nlbs)
-and notify_vubs (t : tau) (vi : vinfo) : unit =
- let notify p bounds =
- List.iter
- (fun b ->
- add_constraint (Unification (b.info,copy_toplevel t));
- add_constraint (Leq (t, (b.index, p), b.info)))
- bounds
- in
- notify Sub (B.elements vi.v_mubs);
- notify Pos (B.elements vi.v_pubs);
- notify Neg (B.elements vi.v_nubs)
-and unify_ref (ri,ri' : rinfo * rinfo) : unit =
- add_constraint (Unification (ri.points_to, ri'.points_to))
-and unify_fun (fi, fi' : finfo * finfo) : unit =
- let rec union_args = function
- _, [] -> false
- | [], _ -> true
- | h :: t, h' :: t' ->
- add_constraint (Unification (h, h'));
- union_args(t, t')
- in
- unify_label(fi.fl, fi'.fl);
- add_constraint (Unification (fi.ret, fi'.ret));
- if union_args (fi.args, fi'.args) then fi.args <- fi'.args;
-and unify_label (l, l' : label * label) : unit =
- let pick_name (li, li' : lblinfo * lblinfo) =
- if String.length li.l_name > 1 && String.sub (li.l_name) 0 2 = "l_" then
- li.l_name <- li'.l_name
- else ()
- in
- let combine_label (li, li' : lblinfo *lblinfo) : lblinfo =
- let rm_self b = not (li.l_stamp = get_label_stamp b.info)
- in
- pick_name (li, li');
- li.l_global <- li.l_global || li'.l_global;
- li.aliases <- C.union li.aliases li'.aliases;
- li.p_ubounds <- B.union li.p_ubounds li'.p_ubounds;
- li.p_lbounds <- B.union li.p_lbounds li'.p_lbounds;
- li.n_ubounds <- B.union li.n_ubounds li'.n_ubounds;
- li.n_lbounds <- B.union li.n_lbounds li'.n_lbounds;
- li.m_ubounds <- B.union li.m_ubounds (B.filter rm_self li'.m_ubounds);
- li.m_lbounds <- B.union li.m_lbounds (B.filter rm_self li'.m_lbounds);
- li.m_upath <- P.union li.m_upath li'.m_upath;
- li.m_lpath<- P.union li.m_lpath li'.m_lpath;
- li.n_upath <- P.union li.n_upath li'.n_upath;
- li.n_lpath <- P.union li.n_lpath li'.n_lpath;
- li.p_upath <- P.union li.p_upath li'.p_upath;
- li.p_lpath <- P.union li.p_lpath li'.p_lpath;
- li.l_seeded <- li.l_seeded || li'.l_seeded;
- li.l_ret <- li.l_ret || li'.l_ret;
- li.l_param <- li.l_param || li'.l_param;
- li
- in
- if !debug_constraints then
- Printf.printf "%s == %s\n" (string_of_label l) (string_of_label l');
- U.unify combine_label (l, l')
-and merge_vholes (vi, vi' : vinfo * vinfo) : unit =
- H.iter
- (fun i -> fun _ -> H.replace vi'.v_hole i ())
- vi.v_hole
-and merge_vlbs (vi, vi' : vinfo * vinfo) : unit =
- vi'.v_mlbs <- B.union vi.v_mlbs vi'.v_mlbs;
- vi'.v_plbs <- B.union vi.v_plbs vi'.v_plbs;
- vi'.v_nlbs <- B.union vi.v_nlbs vi'.v_nlbs
-and merge_vubs (vi, vi' : vinfo * vinfo) : unit =
- vi'.v_mubs <- B.union vi.v_mubs vi'.v_mubs;
- vi'.v_pubs <- B.union vi.v_pubs vi'.v_pubs;
- vi'.v_nubs <- B.union vi.v_nubs vi'.v_nubs
-and trigger_vhole (vi : vinfo) (t : tau) =
- let add_self_loops (t : tau) : unit =
- match find t with
- Var v ->
- H.iter
- (fun i -> fun _ -> H.replace v.v_hole i ())
- vi.v_hole
- | Ref r ->
- H.iter
- (fun i -> fun _ ->
- leq_label (r.rl, (i, Pos), r.rl);
- leq_label (r.rl, (i, Neg), r.rl))
- vi.v_hole
- | Fun f ->
- H.iter
- (fun i -> fun _ ->
- leq_label (f.fl, (i, Pos), f.fl);
- leq_label (f.fl, (i, Neg), f.fl))
- vi.v_hole
- | _ -> ()
- in
- iter_tau add_self_loops t
-(** Pick the representative info for two tinfo's. This function prefers the
- first argument when both arguments are the same structure, but when
- one type is a structure and the other is a var, it picks the structure.
- All other actions (e.g., updating the info) is done in unify_int *)
-and combine (ti, ti' : tinfo * tinfo) : tinfo =
- match ti, ti' with
- Var _, _ -> ti'
- | _, _ -> ti
-and leq_int (t, (i, p), t') : unit =
- if equal_tau t t' then ()
- else
- let ti, ti' = find t, find t' in
- match ti, ti' with
- Var v, Var v' ->
- begin
- match p with
- Pos ->
- v.v_pubs <- B.add (make_tau_bound (i, t')) v.v_pubs;
- v'.v_plbs <- B.add (make_tau_bound (i, t)) v'.v_plbs
- | Neg ->
- v.v_nubs <- B.add (make_tau_bound (i, t')) v.v_nubs;
- v'.v_nlbs <- B.add (make_tau_bound (i, t)) v'.v_nlbs
- | Sub ->
- v.v_mubs <- B.add (make_tau_bound (i, t')) v.v_mubs;
- v'.v_mlbs <- B.add (make_tau_bound (i, t)) v'.v_mlbs
- end
- | Var v, _ ->
- add_constraint (Unification (t, copy_toplevel t'));
- add_constraint (Leq (t, (i, p), t'))
- | _, Var v ->
- add_constraint (Unification (t', copy_toplevel t));
- add_constraint (Leq (t, (i, p), t'))
- | Ref r, Ref r' -> leq_ref (r, (i, p), r')
- | Fun f, Fun f' -> add_constraint (Unification (t, t'))
- | Pair pr, Pair pr' ->
- add_constraint (Leq (pr.ptr, (i, p), pr'.ptr));
- add_constraint (Leq (pr.lam, (i, p), pr'.lam))
- | _ -> raise Inconsistent
-and leq_ref (ri, (i, p), ri') : unit =
- let add_self_loops (t : tau) : unit =
- match find t with
- Var v -> H.replace v.v_hole i ()
- | Ref r ->
- leq_label (r.rl, (i, Pos), r.rl);
- leq_label (r.rl, (i, Neg), r.rl)
- | Fun f ->
- leq_label (f.fl, (i, Pos), f.fl);
- leq_label (f.fl, (i, Neg), f.fl)
- | _ -> ()
- in
- iter_tau add_self_loops ri.points_to;
- add_constraint (Unification (ri.points_to, ri'.points_to));
- leq_label(ri.rl, (i, p), ri'.rl)
-and leq_label (l,(i, p), l') : unit =
- if !debug_constraints then
- Printf.printf
- "%s <={%d,%s} %s\n"
- (string_of_label l) i (string_of_polarity p) (string_of_label l');
- let li, li' = find l, find l' in
- match p with
- Pos ->
- li.l_ret <- true;
- li.p_ubounds <- B.add (make_bound (i, l')) li.p_ubounds;
- li'.p_lbounds <- B.add (make_bound (i, l)) li'.p_lbounds
- | Neg ->
- li'.l_param <- true;
- li.n_ubounds <- B.add (make_bound (i, l')) li.n_ubounds;
- li'.n_lbounds <- B.add (make_bound (i, l)) li'.n_lbounds
- | Sub ->
- if U.equal (l, l') then ()
- else
- begin
- li.m_ubounds <- B.add (make_bound(0, l')) li.m_ubounds;
- li'.m_lbounds <- B.add (make_bound(0, l)) li'.m_lbounds
- end
-and add_constraint_int (c : tconstraint) (toplev : bool) =
- if !debug_constraints && toplev then
- begin
- Printf.printf "%d:>" !toplev_count;
- print_constraint c;
- incr toplev_count
- end
- else
- if !debug_constraints then print_constraint c else ();
- begin
- match c with
- Unification _ -> Q.add c eq_worklist
- | Leq _ -> Q.add c leq_worklist
- end;
- solve_constraints ()
-and add_constraint (c : tconstraint) =
- add_constraint_int c false
-and add_toplev_constraint (c : tconstraint) =
- if !print_constraints && not !debug_constraints then
- begin
- Printf.printf "%d:>" !toplev_count;
- incr toplev_count;
- print_constraint c
- end
- else ();
- add_constraint_int c true
-and fetch_constraint () : tconstraint option =
- try Some (Q.take eq_worklist)
- with Q.Empty -> (try Some (Q.take leq_worklist)
- with Q.Empty -> None)
-(** The main solver loop. *)
-and solve_constraints () : unit =
- match fetch_constraint () with
- Some c ->
- begin
- match c with
- Unification (t, t') -> unify_int (t, t')
- | Leq (t, (i, p), t') ->
- if !no_sub then unify_int (t, t')
- else
- if !analyze_mono then leq_int (t, (0, Sub), t')
- else leq_int (t, (i, p), t')
- end;
- solve_constraints ()
- | None -> ()
-
-
-(***********************************************************************)
-(* *)
-(* Interface Functions *)
-(* *)
-(***********************************************************************)
-
-(** Return the contents of the lvalue. *)
-let rvalue (lv : lvalue) : tau =
- lv.contents
-
-(** Dereference the rvalue. If it does not have enough structure to support
- the operation, then the correct structure is added via new unification
- constraints. *)
-let rec deref (t : tau) : lvalue =
- match U.deref t with
- Pair p ->
- begin
- match U.deref p.ptr with
- Var _ ->
- let is_global = global_tau p.ptr in
- let points_to = fresh_var is_global in
- let l = fresh_label is_global in
- let r = make_ref (l, points_to)
- in
- add_toplev_constraint (Unification (p.ptr, r));
- make_lval (l, points_to)
- | Ref r -> make_lval (r.rl, r.points_to)
- | _ -> raise WellFormed
- end
- | Var v ->
- let is_global = global_tau t in
- add_toplev_constraint
- (Unification (t, make_pair (fresh_var is_global,
- fresh_var is_global)));
- deref t
- | _ -> raise WellFormed
-
-(** Form the union of [t] and [t'], if it doesn't exist already. *)
-let join (t : tau) (t' : tau) : tau =
- try H.find join_cache (get_stamp t, get_stamp t')
- with Not_found ->
- let t'' = fresh_var false in
- add_toplev_constraint (Leq (t, (0, Sub), t''));
- add_toplev_constraint (Leq (t', (0, Sub), t''));
- H.add join_cache (get_stamp t, get_stamp t') t'';
- t''
-
-(** Form the union of a list [tl], expected to be the initializers of some
- structure or array type. *)
-let join_inits (tl : tau list) : tau =
- let t' = fresh_var false in
- List.iter
- (fun t -> add_toplev_constraint (Leq (t, (0, Sub), t')))
- tl;
- t'
-
-(** Take the address of an lvalue. Does not add constraints. *)
-let address (lv : lvalue) : tau =
- make_pair (make_ref (lv.l, lv.contents), fresh_var false)
-
-(** For this version of golf, instantiation is handled at [apply] *)
-let instantiate (lv : lvalue) (i : int) : lvalue =
- lv
-
-(** Constraint generated from assigning [t] to [lv]. *)
-let assign (lv : lvalue) (t : tau) : unit =
- add_toplev_constraint (Leq (t, (0, Sub), lv.contents))
-
-let assign_ret (i : int) (lv : lvalue) (t : tau) : unit =
- add_toplev_constraint (Leq (t, (i, Pos), lv.contents))
-
-(** Project out the first (ref) component or a pair. If the argument [t] has
- no discovered structure, raise NoContents. *)
-let proj_ref (t : tau) : tau =
- match U.deref t with
- Pair p -> p.ptr
- | Var v -> raise NoContents
- | _ -> raise WellFormed
-
-(* Project out the second (fun) component of a pair. If the argument [t] has
- no discovered structure, create it on the fly by adding constraints. *)
-let proj_fun (t : tau) : tau =
- match U.deref t with
- Pair p -> p.lam
- | Var v ->
- let p, f = fresh_var false, fresh_var false in
- add_toplev_constraint (Unification (t, make_pair(p, f)));
- f
- | _ -> raise WellFormed
-
-let get_args (t : tau) : tau list =
- match U.deref t with
- Fun f -> f.args
- | _ -> raise WellFormed
-
-let get_finfo (t : tau) : finfo =
- match U.deref t with
- Fun f -> f
- | _ -> raise WellFormed
-
-(** Function type [t] is applied to the arguments [actuals]. Unifies the
- actuals with the formals of [t]. If no functions have been discovered for
- [t] yet, create a fresh one and unify it with t. The result is the return
- value of the function plus the index of this application site. *)
-let apply (t : tau) (al : tau list) : (tau * int) =
- let i = fresh_appsite () in
- let f = proj_fun t in
- let actuals = ref al in
- let fi,ret =
- match U.deref f with
- Fun fi -> fi, fi.ret
- | Var v ->
- let new_l, new_ret, new_args =
- fresh_label false, fresh_var false,
- List.map (function _ -> fresh_var false) !actuals
- in
- let new_fun = make_fun (new_l, new_args, new_ret) in
- add_toplev_constraint (Unification (new_fun, f));
- (get_finfo new_fun, new_ret)
- | _ -> raise WellFormed
- in
- pad_args2 (fi, actuals);
- List.iter2
- (fun actual -> fun formal ->
- add_toplev_constraint (Leq (actual,(i, Neg), formal)))
- !actuals fi.args;
- (ret, i)
-
-(** Create a new function type with name [name], list of formal arguments
- [formals], and return value [ret]. Adds no constraints. *)
-let make_function (name : string) (formals : lvalue list) (ret : tau) : tau =
- let f = make_fun (make_label false name None,
- List.map (fun x -> rvalue x) formals,
- ret)
- in
- make_pair (fresh_var false, f)
-
-(** Create an lvalue. If [is_global] is true, the lvalue will be treated
- monomorphically. *)
-let make_lvalue (is_global : bool) (name : string) (vio : Cil.varinfo option) : lvalue =
- if !debug && is_global then
- Printf.printf "Making global lvalue : %s\n" name
- else ();
- make_lval (make_label is_global name vio, make_var is_global name)
-
-(** Create a fresh non-global named variable. *)
-let make_fresh (name : string) : tau =
- make_var false name
-
-(** The default type for constants. *)
-let bottom () : tau =
- make_var false "bottom"
-
-(** Unify the result of a function with its return value. *)
-let return (t : tau) (t' : tau) =
- add_toplev_constraint (Leq (t', (0, Sub), t))
-
-(***********************************************************************)
-(* *)
-(* Query/Extract Solutions *)
-(* *)
-(***********************************************************************)
-
-let make_summary = leq_label
-
-let path_signature k l l' b : int list =
- let ksig =
- match k with
- Positive -> 1
- | Negative -> 2
- | _ -> 3
- in
- [ksig;
- get_label_stamp l;
- get_label_stamp l';
- if b then 1 else 0]
-
-let make_path (k, l, l', b) =
- let psig = path_signature k l l' b in
- if PH.mem path_hash psig then ()
- else
- let new_path = {kind = k; head = l; tail = l'; reached_global = b}
- and li, li' = find l, find l' in
- PH.add path_hash psig new_path;
- Q.add new_path path_worklist;
- begin
- match k with
- Positive ->
- li.p_upath <- P.add new_path li.p_upath;
- li'.p_lpath <- P.add new_path li'.p_lpath
- | Negative ->
- li.n_upath <- P.add new_path li.n_upath;
- li'.n_lpath <- P.add new_path li'.n_lpath
- | _ ->
- li.m_upath <- P.add new_path li.m_upath;
- li'.m_lpath <- P.add new_path li'.m_lpath
- end;
- if !debug then
- begin
- print_string "Discovered path : ";
- print_path new_path;
- print_newline ()
- end
-
-let backwards_tabulate (l : label) : unit =
- let rec loop () =
- let rule1 p =
- if !debug then print_endline "rule1";
- B.iter
- (fun lb ->
- make_path (Match, lb.info, p.tail,
- p.reached_global || is_global_label p.head))
- (find p.head).m_lbounds
- and rule2 p =
- if !debug then print_endline "rule2";
- B.iter
- (fun lb ->
- make_path (Negative, lb.info, p.tail,
- p.reached_global || is_global_label p.head))
- (find p.head).n_lbounds
- and rule2m p =
- if !debug then print_endline "rule2m";
- B.iter
- (fun lb ->
- make_path (Match, lb.info, p.tail,
- p.reached_global || is_global_label p.head))
- (find p.head).n_lbounds
- and rule3 p =
- if !debug then print_endline "rule3";
- B.iter
- (fun lb ->
- make_path (Positive, lb.info, p.tail,
- p.reached_global || is_global_label p.head))
- (find p.head).p_lbounds
- and rule4 p =
- if !debug then print_endline "rule4";
- B.iter
- (fun lb ->
- make_path(Negative, lb.info, p.tail,
- p.reached_global || is_global_label p.head))
- (find p.head).m_lbounds
- and rule5 p =
- if !debug then print_endline "rule5";
- B.iter
- (fun lb ->
- make_path (Positive, lb.info, p.tail,
- p.reached_global || is_global_label p.head))
- (find p.head).m_lbounds
- and rule6 p =
- if !debug then print_endline "rule6";
- B.iter
- (fun lb ->
- if is_seeded_label lb.info then ()
- else
- begin
- (find lb.info).l_seeded <- true; (* set seeded *)
- make_path (Seed, lb.info, lb.info,
- is_global_label lb.info)
- end)
- (find p.head).p_lbounds
- and rule7 p =
- if !debug then print_endline "rule7";
- if not (is_ret_label p.tail && is_param_label p.head) then ()
- else
- B.iter
- (fun lb ->
- B.iter
- (fun ub ->
- if lb.index = ub.index then
- begin
- if !debug then
- Printf.printf "New summary : %s %s\n"
- (string_of_label lb.info)
- (string_of_label ub.info);
- make_summary (lb.info, (0, Sub), ub.info);
- (* rules 1, 4, and 5 *)
- P.iter
- (fun ubp -> (* rule 1 *)
- make_path (Match, lb.info, ubp.tail,
- ubp.reached_global))
- (find ub.info).m_upath;
- P.iter
- (fun ubp -> (* rule 4 *)
- make_path (Negative, lb.info, ubp.tail,
- ubp.reached_global))
- (find ub.info).n_upath;
- P.iter
- (fun ubp -> (* rule 5 *)
- make_path (Positive, lb.info, ubp.tail,
- ubp.reached_global))
- (find ub.info).p_upath
- end)
- (find p.tail).p_ubounds)
- (find p.head).n_lbounds
- in
- let matched_backward_rules p =
- rule1 p;
- if p.reached_global then rule2m p else rule2 p;
- rule3 p;
- rule6 p;
- rule7 p
- and negative_backward_rules p =
- rule2 p;
- rule3 p;
- rule4 p;
- rule6 p;
- rule7 p
- and positive_backward_rules p =
- rule3 p;
- rule5 p;
- rule6 p;
- rule7 p
- in (* loop *)
- if Q.is_empty path_worklist then ()
- else
- let p = Q.take path_worklist in
- if !debug then
- begin
- print_string "Processing path: ";
- print_path p;
- print_newline ()
- end;
- begin
- match p.kind with
- Positive ->
- if is_global_label p.tail then matched_backward_rules p
- else positive_backward_rules p
- | Negative -> negative_backward_rules p
- | _ -> matched_backward_rules p
- end;
- loop ()
- in (* backwards_tabulate *)
- if !debug then
- begin
- Printf.printf "Tabulating for %s..." (string_of_label l);
- if is_global_label l then print_string "(global)";
- print_newline ()
- end;
- make_path (Seed, l, l, is_global_label l);
- loop ()
-
-let collect_ptsets (l : label) : constantset = (* todo -- cache aliases *)
- let li = find l
- and collect init s =
- P.fold (fun x a -> C.union a (find x.head).aliases) s init
- in
- backwards_tabulate l;
- collect (collect (collect li.aliases li.m_lpath) li.n_lpath) li.p_lpath
-
-let extract_ptlabel (lv : lvalue) : label option =
- try
- match find (proj_ref lv.contents) with
- Var v -> None
- | Ref r -> Some r.rl;
- | _ -> raise WellFormed
- with NoContents -> None
-
-let points_to_aux (t : tau) : constant list =
- try
- match find (proj_ref t) with
- Var v -> []
- | Ref r -> C.elements (collect_ptsets r.rl)
- | _ -> raise WellFormed
- with NoContents -> []
-
-let points_to_names (lv : lvalue) : string list =
- List.map (fun (_, str, _) -> str) (points_to_aux lv.contents)
-
-let points_to (lv : lvalue) : Cil.varinfo list =
- let rec get_vinfos l : Cil.varinfo list = match l with
- | (_, _, h) :: t -> h :: get_vinfos t
- | [] -> []
- in
- get_vinfos (points_to_aux lv.contents)
-
-let epoints_to (t : tau) : Cil.varinfo list =
- let rec get_vinfos l : Cil.varinfo list = match l with
- | (_, _, h) :: t -> h :: get_vinfos t
- | [] -> []
- in
- get_vinfos (points_to_aux t)
-
-let smart_alias_query (l : label) (l' : label) : bool =
- (* Set of dead configurations *)
- let dead_configs : config_map = CH.create 16 in
- (* the set of discovered configurations *)
- let discovered : config_map = CH.create 16 in
- let rec filter_match (i : int) =
- B.filter (fun (b : lblinfo bound) -> i = b.index)
- in
- let rec simulate c l l' =
- let config = (c, get_label_stamp l, get_label_stamp l') in
- if U.equal (l, l') then
- begin
- if !debug then
- Printf.printf
- "%s and %s are aliased\n"
- (string_of_label l)
- (string_of_label l');
- raise APFound
- end
- else if CH.mem discovered config then ()
- else
- begin
- if !debug_aliases then
- Printf.printf
- "Exploring configuration %s\n"
- (string_of_configuration config);
- CH.add discovered config ();
- B.iter
- (fun lb -> simulate c lb.info l')
- (get_bounds Sub false l); (* epsilon closure of l *)
- B.iter
- (fun lb -> simulate c l lb.info)
- (get_bounds Sub false l'); (* epsilon closure of l' *)
- B.iter
- (fun lb ->
- let matching =
- filter_match lb.index (get_bounds Pos false l')
- in
- B.iter
- (fun b -> simulate Closed lb.info b.info)
- matching;
- if is_global_label l' then (* positive self-loops on l' *)
- simulate Closed lb.info l')
- (get_bounds Pos false l); (* positive transitions on l *)
- if is_global_label l then
- B.iter
- (fun lb -> simulate Closed l lb.info)
- (get_bounds Pos false l'); (* positive self-loops on l *)
- begin
- match c with (* negative transitions on l, only if Open *)
- Open ->
- B.iter
- (fun lb ->
- let matching =
- filter_match lb.index (get_bounds Neg false l')
- in
- B.iter
- (fun b -> simulate Open lb.info b.info)
- matching ;
- if is_global_label l' then (* neg self-loops on l' *)
- simulate Open lb.info l')
- (get_bounds Neg false l);
- if is_global_label l then
- B.iter
- (fun lb -> simulate Open l lb.info)
- (get_bounds Neg false l') (* negative self-loops on l *)
- | _ -> ()
- end;
- (* if we got this far, then the configuration was not used *)
- CH.add dead_configs config ();
- end
- in
- try
- begin
- if H.mem cached_aliases (get_label_stamp l, get_label_stamp l') then
- true
- else
- begin
- simulate Open l l';
- if !debug then
- Printf.printf
- "%s and %s are NOT aliased\n"
- (string_of_label l)
- (string_of_label l');
- false
- end
- end
- with APFound ->
- CH.iter
- (fun config -> fun _ ->
- if not (CH.mem dead_configs config) then
- H.add
- cached_aliases
- (get_label_stamp l, get_label_stamp l')
- ())
- discovered;
- true
-
-(** todo : uses naive alias query for now *)
-let may_alias (t1 : tau) (t2 : tau) : bool =
- try
- let l1 =
- match find (proj_ref t1) with
- Ref r -> r.rl
- | Var v -> raise NoContents
- | _ -> raise WellFormed
- and l2 =
- match find (proj_ref t2) with
- Ref r -> r.rl
- | Var v -> raise NoContents
- | _ -> raise WellFormed
- in
- not (C.is_empty (C.inter (collect_ptsets l1) (collect_ptsets l2)))
- with NoContents -> false
-
-let alias_query (b : bool) (lvl : lvalue list) : int * int =
- let naive_count = ref 0 in
- let smart_count = ref 0 in
- let lbls = List.map extract_ptlabel lvl in (* label option list *)
- let ptsets =
- List.map
- (function
- Some l -> collect_ptsets l
- | None -> C.empty)
- lbls in
- let record_alias s lo s' lo' =
- match lo, lo' with
- Some l, Some l' ->
- if !debug_aliases then
- Printf.printf
- "Checking whether %s and %s are aliased...\n"
- (string_of_label l)
- (string_of_label l');
- if C.is_empty (C.inter s s') then ()
- else
- begin
- incr naive_count;
- if !smart_aliases && smart_alias_query l l' then
- incr smart_count
- end
- | _ -> ()
- in
- let rec check_alias sets labels =
- match sets,labels with
- s :: st, l :: lt ->
- List.iter2 (record_alias s l) ptsets lbls;
- check_alias st lt
- | [], [] -> ()
- | _ -> die "check_alias"
- in
- check_alias ptsets lbls;
- (!naive_count, !smart_count)
-
-let alias_frequency (lvl : (lvalue * bool) list) : int * int =
- let extract_lbl (lv, b : lvalue * bool) = (lv.l, b) in
- let naive_count = ref 0 in
- let smart_count = ref 0 in
- let lbls = List.map extract_lbl lvl in
- let ptsets =
- List.map
- (fun (lbl, b) ->
- if b then (find lbl).loc (* symbol access *)
- else collect_ptsets lbl)
- lbls in
- let record_alias s (l, b) s' (l', b') =
- if !debug_aliases then
- Printf.printf
- "Checking whether %s and %s are aliased...\n"
- (string_of_label l)
- (string_of_label l');
- if C.is_empty (C.inter s s') then ()
- else
- begin
- if !debug_aliases then
- Printf.printf
- "%s and %s are aliased naively...\n"
- (string_of_label l)
- (string_of_label l');
- incr naive_count;
- if !smart_aliases then
- if b || b' || smart_alias_query l l' then incr smart_count
- else
- Printf.printf
- "%s and %s are not aliased by smart queries...\n"
- (string_of_label l)
- (string_of_label l');
- end
- in
- let rec check_alias sets labels =
- match sets, labels with
- s :: st, l :: lt ->
- List.iter2 (record_alias s l) ptsets lbls;
- check_alias st lt
- | [], [] -> ()
- | _ -> die "check_alias"
- in
- check_alias ptsets lbls;
- (!naive_count, !smart_count)
-
-
-(** an interface for extracting abstract locations from this analysis *)
-
-type absloc = label
-
-let absloc_of_lvalue (l : lvalue) : absloc = l.l
-let absloc_eq (a1, a2) = smart_alias_query a1 a2
-let absloc_print_name = ref true
-let d_absloc () (p : absloc) =
- let a = find p in
- if !absloc_print_name then Pretty.dprintf "%s" a.l_name
- else Pretty.dprintf "%d" a.l_stamp
-
-let phonyAddrOf (lv : lvalue) : lvalue =
- make_lval (fresh_label true, address lv)
-
-(* transitive closure of points to, starting from l *)
-let rec tauPointsTo (l : tau) : absloc list =
- match find l with
- Var _ -> []
- | Ref r -> r.rl :: tauPointsTo r.points_to
- | _ -> []
-
-let rec absloc_points_to (l : lvalue) : absloc list =
- tauPointsTo l.contents
-
-
-(** The following definitions are only introduced for the
- compatability with Olf. *)
-
-exception UnknownLocation
-
-let finished_constraints () = ()
-let apply_undefined (_ : tau list) = (fresh_var true, 0)
-let assign_undefined (_ : lvalue) = ()
-
-let absloc_epoints_to = tauPointsTo