Source file fiber.ml
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open Types
type 'a t =
| Hook : {
addr : Virtual_address.t;
info : string;
mutable succ : [ `All ] t;
}
-> [< `Label | `All ] t
| Exec : {
addr : Virtual_address.t;
info : string;
n : int;
others : (Virtual_address.t * string) list;
mutable succ : [ `All ] t;
}
-> [< `Label | `All ] t
| Assign : {
var : Var.t;
rval : Expr.t;
mutable succ : [ `All ] t;
}
-> [< `All ] t
| Clobber : { var : Var.t; mutable succ : [ `All ] t } -> [< `All ] t
| Load : {
var : Var.t;
base : A.t;
dir : Machine.endianness;
addr : Expr.t;
mutable succ : [ `All ] t;
}
-> [< `All ] t
| Store : {
base : A.t;
dir : Machine.endianness;
addr : Expr.t;
rval : Expr.t;
mutable succ : [ `All ] t;
}
-> [< `All ] t
| Symbolize : { var : Var.t; mutable succ : [ `All ] t } -> [< `All ] t
| Assume : {
test : Expr.t;
mutable succ : [ `All ] t;
}
-> [< `Assume | `All ] t
| Assert : {
test : Expr.t;
mutable succ : [ `All ] t;
}
-> [< `Assert | `All ] t
| Branch : {
test : Expr.t;
mutable taken : [ `All ] t;
mutable fallthrough : [ `All ] t;
}
-> [< `Branch | `All ] t
| Goto : {
addr : Virtual_address.t;
mutable preds : (bool * [ `All ] t) list;
}
-> [< `All ] t
| Jump : Expr.t -> [< `Jump | `All ] t
| Halt : [< `All ] t
| Probe : {
kind : Probe.t;
mutable succ : [ `All ] t;
}
-> [< `Probe | `All ] t
| Cut : [< `All ] t
| Die : string -> [< `All ] t
let addr (t : [ `Label ] t) =
match t with Hook { addr; _ } | Exec { addr; _ } -> addr
let =
let rec fold m (e : Expr.t) =
match e with
| Cst _ -> (m, e)
| Var _ -> (m, e)
| Load (sz, dir, addr, base) ->
let m', addr' = fold m addr in
let k = (sz, dir, addr', base) in
let v =
try List.assoc k m'
with Not_found ->
Dba.Var.(
create
(Printf.sprintf "$$%d" (List.length m'))
~bitsize:(Size.Bit.create (8 * sz))
~tag:Tag.Temp)
in
((k, v) :: m', Expr.v v)
| Unary (o, x) ->
let m', x' = fold m x in
let e' = if x == x' then e else Expr.unary o x' in
(m', e')
| Binary (o, x, y) ->
let m', x' = fold m x in
let m', y' = fold m' y in
let e' = if x == x' && y == y' then e else Expr.binary o x' y' in
(m', e')
| Ite (c, x, y) ->
let m', c' = fold m c in
let m', x' = fold m' x in
let m', y' = fold m' y in
let e' =
if c == c' && x == x' && y == y' then e else Expr.ite c' x' y'
in
(m', e')
in
fold
let define_load m succ =
List.fold_left
(fun succ ((_, dir, addr, base), var) ->
Load { var; base; dir; addr; succ })
succ m
let assign (loc : Dba.LValue.t) (rval : Dba.Expr.t) succ =
match (loc, rval) with
| Var var, Load (_, dir, addr, base) ->
let m, addr = extract_load [] addr in
define_load m (Load { var; base; dir; addr; succ })
| Var var, _ ->
let m, rval = extract_load [] rval in
define_load m (Assign { var; rval; succ })
| Restrict (var, { lo; hi }), _ ->
let m, rval = extract_load [] rval in
let rval = Dba_utils.Expr.complement rval ~hi ~lo var in
define_load m (Assign { var; rval; succ })
| Store (_, dir, addr, base), _ ->
let m, addr = extract_load [] addr in
let m, rval = extract_load m rval in
define_load m (Store { base; dir; addr; rval; succ })
let entropy = Printf.sprintf "%%entropy%%%d"
let nondet (loc : Dba.LValue.t) succ =
match loc with
| Var var -> Symbolize { var; succ }
| Restrict (var, { lo; hi }) ->
let size' = hi - lo + 1 in
let name' = entropy size' in
let var' = Dba.Var.temporary name' (Size.Bit.create size') in
let rval = Dba_utils.Expr.complement (Expr.v var') ~lo ~hi var in
Symbolize { var = var'; succ = Assign { var; rval; succ } }
| Store (bytes, dir, addr, base) ->
let size' = 8 * bytes in
let name' = entropy size' in
let var' = Dba.Var.temporary name' (Size.Bit.create size') in
let rval = Expr.v var' in
Symbolize { var = var'; succ = Store { base; dir; addr; rval; succ } }
let of_dhunk : Dhunk.t -> _ t =
let rec lookup d a i =
match Array.get a i with
| Halt -> (
match Dhunk.inst_exn d i with
| SJump (JInner i, _) -> lookup d a i
| _ -> Halt)
| t -> t
in
let rec forward_load t =
match t with
| Hook _ | Exec _ | Assign _ | Clobber _
| Load { succ = Halt; _ }
| Store _ | Symbolize _ | Assume _ | Assert _ | Branch _ | Probe _ | Goto _
| Jump _ | Cut | Halt | Die _ ->
t
| Load { succ; _ } -> forward_load succ
in
fun d ->
let d = Dhunk.optimize ~inplace:true d in
let n = Dhunk.length d in
let a = Array.make n Halt in
for i = 0 to n - 1 do
Array.set a i
(match Dhunk.inst_exn d i with
| Assign (loc, value, _) -> assign loc value Halt
| Undef (Var var, _) -> Clobber { var; succ = Halt }
| Nondet (loc, _) -> nondet loc Halt
| Assume (test, _) ->
let m, test = extract_load [] test in
define_load m (Assume { test; succ = Halt })
| Assert (test, _) ->
let m, test = extract_load [] test in
define_load m (Assert { test; succ = Halt })
| If (test, JInner _, _) ->
let m, test = extract_load [] test in
define_load m (Branch { test; taken = Halt; fallthrough = Halt })
| If (test, JOuter { base; _ }, _) ->
let m, test = extract_load [] test in
define_load m
(Branch
{
test;
taken = Goto { addr = base; preds = [] };
fallthrough = Halt;
})
| DJump (target, _) ->
let m, target = extract_load [] target in
define_load m (Jump target)
| SJump (JOuter { base; _ }, _) -> Goto { addr = base; preds = [] }
| SJump (JInner _, _) -> Halt
| Stop (None | Some OK) -> Halt
| Stop (Some (Undecoded msg | Unsupported msg)) -> Die msg
| (Undef _ | Stop (Some KO)) as ins ->
Options.Logger.fatal "unexpected instruction kind %a"
Dba_printer.Ascii.pp_instruction ins)
done;
for i = 0 to n - 1 do
match (Dhunk.inst_exn d i, forward_load (Array.get a i)) with
| Assign (Var _, _, i'), Load t -> t.succ <- lookup d a i'
| Assign ((Var _ | Restrict _), _, i'), Assign t ->
t.succ <- lookup d a i'
| Assign (Store _, _, i'), Store t -> t.succ <- lookup d a i'
| Undef (_, i'), Clobber t -> t.succ <- lookup d a i'
| Nondet (Var _, i'), Symbolize t -> t.succ <- lookup d a i'
| Nondet (Restrict _, i'), Symbolize { succ = Assign t; _ } ->
t.succ <- lookup d a i'
| Nondet (Store _, i'), Symbolize { succ = Store t; _ } ->
t.succ <- lookup d a i'
| Assume (_, i'), Assume t -> t.succ <- lookup d a i'
| Assert (_, i'), Assert t -> t.succ <- lookup d a i'
| If (_, JInner i', f'), Branch t ->
t.taken <- lookup d a i';
t.fallthrough <- lookup d a f'
| If (_, JOuter _, i'), Branch t -> t.fallthrough <- lookup d a i'
| SJump (JOuter _, _), Goto t ->
t.preds <-
List.map
(fun p ->
( (match Dhunk.inst_exn d p with
| If (_, JInner i', _) -> i = i'
| _ -> false),
forward_load (Array.get a p) ))
(Dhunk.pred d i)
| DJump _, _ | SJump _, _ | Stop _, _ -> ()
| _ -> assert false
done;
lookup d a 0
let abort = Die "invalid fallthrough instruction"
let relink ?(taken = false) ~(pred : [ `All ] t) (succ : [ `All ] t) =
(match succ with
| Goto g when pred <> Halt -> g.preds <- (taken, pred) :: g.preds
| _ -> ());
match pred with
| Hook t -> t.succ <- succ
| Exec t -> t.succ <- succ
| Assign t -> t.succ <- succ
| Clobber t -> t.succ <- succ
| Load t -> t.succ <- succ
| Store t -> t.succ <- succ
| Symbolize t -> t.succ <- succ
| Assume t -> t.succ <- succ
| Assert t -> t.succ <- succ
| Branch t when taken -> t.taken <- succ
| Branch t -> t.fallthrough <- succ
| Probe t -> t.succ <- succ
| Goto _ | Jump _ | Cut | Halt | Die _ -> ()
let rec iter continue entries reloc passthrough labels pred
(stmts : Script.Instr.t list) =
match stmts with
| [] ->
List.iter (fun name -> S.Htbl.add entries name continue) labels;
relink ~pred continue;
reloc
| Label name :: stmts ->
iter continue entries reloc passthrough (name :: labels) pred stmts
| Assign (Var var, Load (_, dir, addr, base)) :: stmts ->
let m, addr = extract_load [] addr in
let last = Load { var; base; dir; addr; succ = Halt } in
let step = define_load m last in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] last stmts
| Assign (Var var, rval) :: stmts ->
let m, rval = extract_load [] rval in
let last = Assign { var; rval; succ = Halt } in
let step = define_load m last in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] last stmts
| Assign (Restrict (var, { hi; lo }), rval) :: stmts ->
let m, rval = extract_load [] rval in
let rval = Dba_utils.Expr.complement rval ~hi ~lo var in
let last = Assign { var; rval; succ = Halt } in
let step = define_load m last in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] last stmts
| Assign (Store (_, dir, addr, base), rval) :: stmts ->
let m, addr = extract_load [] addr in
let m, rval = extract_load m rval in
let last = Store { base; dir; addr; rval; succ = Halt } in
let step = define_load m last in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] last stmts
| Nondet (Var var) :: stmts ->
let step = Symbolize { var; succ = Halt } in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] step stmts
| Nondet (Restrict (var, { hi; lo })) :: stmts ->
let size' = hi - lo + 1 in
let name' = entropy size' in
let var' = Dba.Var.temporary name' (Size.Bit.create size') in
let rval = Dba_utils.Expr.complement (Expr.v var') ~hi ~lo var in
let succ = Assign { var; rval; succ = Halt } in
let step = Symbolize { var = var'; succ } in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] succ stmts
| Nondet (Store (len, dir, addr, base)) :: stmts ->
let m, addr = extract_load [] addr in
let size' = 8 * len in
let name' = entropy size' in
let var' = Dba.Var.temporary name' (Size.Bit.create size') in
let succ = Store { base; dir; addr; rval = Expr.v var'; succ = Halt } in
let step = define_load m (Symbolize { var = var'; succ }) in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] succ stmts
| Undef (Var var) :: stmts ->
let step = Clobber { var; succ = Halt } in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] step stmts
| Undef _ :: _ -> Options.Logger.fatal "only variables can be undefined"
| Assume test :: stmts ->
let m, test = extract_load [] test in
let last = Assume { test; succ = Halt } in
let step = define_load m last in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] last stmts
| Assert test :: stmts ->
let m, test = extract_load [] test in
let last = Assert { test; succ = Halt } in
let step = define_load m last in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] last stmts
| It (test, target) :: stmts ->
let m, test = extract_load [] test in
let branch = Branch { test; taken = Halt; fallthrough = Halt } in
let step = define_load m branch in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries
((branch, target, true) :: reloc)
passthrough [] branch stmts
| Goto target :: stmts ->
List.iter (fun name -> S.Htbl.add passthrough name target) labels;
iter continue entries
((pred, target, false) :: reloc)
passthrough [] Halt stmts
| Jump (Cst bv) :: stmts ->
let goto = Goto { addr = Virtual_address.of_bitvector bv; preds = [] } in
List.iter (fun name -> S.Htbl.add entries name goto) labels;
relink ~pred goto;
iter continue entries reloc passthrough [] goto stmts
| Jump target :: stmts ->
let m, target = extract_load [] target in
let jump = Jump target in
let step = define_load m jump in
List.iter (fun name -> S.Htbl.add entries name step) labels;
relink ~pred step;
iter continue entries reloc passthrough [] jump stmts
| Halt :: stmts ->
List.iter (fun name -> S.Htbl.add entries name Halt) labels;
relink ~pred Halt;
iter continue entries reloc passthrough [] Halt stmts
let rec lookup entries passthrough target =
try S.Htbl.find entries target
with Not_found -> (
match S.Htbl.find passthrough target with
| exception Not_found ->
Options.Logger.fatal "label %S is not defined" target
| target -> lookup entries passthrough target)
let of_script ?(continue = abort) stmts =
let entries = S.Htbl.create 10 and passthrough = S.Htbl.create 10 in
let reloc = iter continue entries [] passthrough [ "%start%" ] Halt stmts in
List.iter
(fun (pred, target, taken) ->
relink ~taken ~pred (lookup entries passthrough target))
reloc;
S.Htbl.find entries "%start%"
let mk_cut (addr : Virtual_address.t) (saddr : string) (guard : Expr.t option)
succ =
match guard with
| None -> Hook { addr; info = Printf.sprintf "cut at %s" saddr; succ = Cut }
| Some guard ->
let m, test = extract_load [] guard in
Hook
{
addr;
info =
Format.asprintf "cut at %s if %a" saddr Dba_printer.Ascii.pp_bl_term
guard;
succ =
define_load m (Branch { test; taken = Cut; fallthrough = succ });
}
let mk_assume (addr : Virtual_address.t) (saddr : string) (guard : Expr.t) succ
=
let m, test = extract_load [] guard in
Hook
{
addr;
info =
Format.asprintf "at %s assume %a" saddr Dba_printer.Ascii.pp_bl_term
guard;
succ = define_load m (Assume { test; succ });
}
let mk_assert (addr : Virtual_address.t) (saddr : string) (guard : Expr.t) succ
=
let m, test = extract_load [] guard in
Hook
{
addr;
info =
Format.asprintf "at %s assert %a" saddr Dba_printer.Ascii.pp_bl_term
guard;
succ = define_load m (Assert { test; succ });
}
let mk_reach (addr : Virtual_address.t) (saddr : string) id
(guard : Expr.t option) n rev_actions succ =
let info, guard =
match guard with
| None -> (Printf.sprintf "reach %s" saddr, Expr.one)
| Some test ->
( Format.asprintf "reach %s such that %a" saddr
Dba_printer.Ascii.pp_bl_term test,
test )
in
Hook
{
addr;
info;
succ =
Probe
{
kind = Reach { id; n; guard; actions = List.rev rev_actions };
succ;
};
}
let mk_enumerate (addr : Virtual_address.t) (saddr : string) id format
(expr : Expr.t) n succ =
Hook
{
addr;
info =
Format.asprintf "at %s enumerate %a" saddr Dba_printer.Ascii.pp_bl_term
expr;
succ =
Probe
{
kind = Enumerate { enum = expr; id; format; n; k = 0; values = [] };
succ;
};
}