Source file code.ml
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open! Stdlib
module Addr = struct
type t = int
module Set = Set.Make (Int)
module Map = Map.Make (Int)
let to_string = string_of_int
let zero = 0
let pred = pred
let succ = succ
end
module DebugAddr : sig
type t = private Addr.t
val of_addr : Addr.t -> t
val to_addr : t -> Addr.t
val no : t
end = struct
type t = int
let of_addr (x : Addr.t) : t = x
let no = 0
let to_addr (x : t) : Addr.t = x
end
module Var : sig
type t
val print : Format.formatter -> t -> unit
val equal : t -> t -> bool
val idx : t -> int
val of_idx : int -> t
val to_string : ?origin:t -> t -> string
val fresh : unit -> t
val fresh_n : string -> t
val fork : t -> t
val count : unit -> int
val compare : t -> t -> int
val get_loc : t -> Parse_info.t option
val loc : t -> Parse_info.t -> unit
val name : t -> string -> unit
val get_name : t -> string option
val propagate_name : t -> t -> unit
val reset : unit -> unit
val set_pretty : bool -> unit
val set_stable : bool -> unit
module Set : Set.S with type elt = t
module Map : Map.S with type key = t
module Tbl : sig
type key = t
type 'a t
type size = unit
val get : 'a t -> key -> 'a
val set : 'a t -> key -> 'a -> unit
val make : size -> 'a -> 'a t
val iter : (key -> 'a -> unit) -> 'a t -> unit
end
module ISet : sig
type elt = t
type t
val empty : unit -> t
val iter : (elt -> unit) -> t -> unit
val mem : t -> elt -> bool
val add : t -> elt -> unit
val remove : t -> elt -> unit
val copy : t -> t
end
end = struct
module T = struct
type t = int
let compare : t -> t -> int = compare
let equal (a : t) (b : t) = a = b
end
include T
let printer = Var_printer.create Var_printer.Alphabet.javascript
let locations = Hashtbl.create 17
let last_var = ref 0
let reset () =
last_var := 0;
Hashtbl.clear locations;
Var_printer.reset printer
let to_string ?origin i = Var_printer.to_string printer ?origin i
let print f x = Format.fprintf f "v%d" x
let name i nm = Var_printer.name printer i nm
let loc i pi = Hashtbl.add locations i pi
let get_loc i = try Some (Hashtbl.find locations i) with Not_found -> None
let fresh () =
incr last_var;
!last_var
let fresh_n nm =
incr last_var;
name !last_var nm;
!last_var
let count () = !last_var + 1
let idx v = v
let of_idx v = v
let get_name i = Var_printer.get_name printer i
let propagate_name i j =
Var_printer.propagate_name printer i j;
match get_loc i with
| None -> ()
| Some l -> loc j l
let set_pretty b = Var_printer.set_pretty printer b
let set_stable b = Var_printer.set_stable printer b
let fork o =
let n = fresh () in
propagate_name o n;
n
let dummy = -1
module Set = Set.Make (T)
module Map = Map.Make (T)
module Tbl = struct
type 'a t = 'a array
type key = T.t
type size = unit
let get t x = t.(x)
let set t x v = t.(x) <- v
let make () v = Array.make (count ()) v
let iter f t =
for i = 0 to Array.length t - 1 do
f i t.(i)
done
end
module ISet = struct
type t = T.t array
type elt = T.t
let iter f t =
for i = 0 to Array.length t - 1 do
let x = t.(i) in
if compare x dummy <> 0 then f x
done
let mem t x = compare t.(x) dummy <> 0
let add t x = t.(x) <- x
let remove t x = t.(x) <- dummy
let copy = Array.copy
let empty _v = Array.make (count ()) dummy
end
end
type cont = Addr.t * Var.t list
type prim =
| Vectlength
| Array_get
| Extern of string
| Not
| IsInt
| Eq
| Neq
| Lt
| Le
| Ult
type array_or_not =
| Array
| NotArray
| Unknown
module Native_string = struct
type t =
| Byte of string
| Utf of Utf8_string.t
let of_string x = Utf (Utf8_string.of_string_exn x)
let of_bytestring x = if String.is_ascii x then of_string x else Byte x
let equal a b =
match a, b with
| Byte x, Byte y -> String.equal x y
| Utf (Utf8 x), Utf (Utf8 y) -> String.equal x y
| Utf _, Byte _ | Byte _, Utf _ -> false
end
type constant =
| String of string
| NativeString of Native_string.t
| Float of float
| Float_array of float array
| Int64 of int64
| Tuple of int * constant array * array_or_not
| Int of int32
let rec constant_equal a b =
match a, b with
| String a, String b -> Some (String.equal a b)
| NativeString a, NativeString b -> Some (Native_string.equal a b)
| Tuple (ta, a, _), Tuple (tb, b, _) ->
if ta <> tb || Array.length a <> Array.length b
then Some false
else
let same = ref (Some true) in
for i = 0 to Array.length a - 1 do
match !same, constant_equal a.(i) b.(i) with
| None, _ -> ()
| _, None -> same := None
| Some s, Some c -> same := Some (s && c)
done;
!same
| Int64 a, Int64 b -> Some (Int64.equal a b)
| Float_array a, Float_array b -> Some (Array.equal Float.equal a b)
| Int a, Int b -> Some (Int32.equal a b)
| Float a, Float b -> Some (Float.equal a b)
| String _, NativeString _ | NativeString _, String _ -> None
| Int _, Float _ | Float _, Int _ -> None
| Tuple ((0 | 254), _, _), Float_array _ -> None
| Float_array _, Tuple ((0 | 254), _, _) -> None
| Tuple _, (String _ | NativeString _ | Int64 _ | Int _ | Float _ | Float_array _) ->
Some false
| Float_array _, (String _ | NativeString _ | Int64 _ | Int _ | Float _ | Tuple _) ->
Some false
| String _, (Int64 _ | Int _ | Float _ | Tuple _ | Float_array _) -> Some false
| NativeString _, (Int64 _ | Int _ | Float _ | Tuple _ | Float_array _) -> Some false
| Int64 _, (String _ | NativeString _ | Int _ | Float _ | Tuple _ | Float_array _) ->
Some false
| Float _, (String _ | NativeString _ | Float_array _ | Int64 _ | Tuple (_, _, _)) ->
Some false
| Int _, (String _ | NativeString _ | Float_array _ | Int64 _ | Tuple (_, _, _)) ->
Some false
type loc =
| No
| Before of Addr.t
| After of Addr.t
type prim_arg =
| Pv of Var.t
| Pc of constant
type expr =
| Apply of
{ f : Var.t
; args : Var.t list
; exact : bool
}
| Block of int * Var.t array * array_or_not
| Field of Var.t * int
| Closure of Var.t list * cont
| Constant of constant
| Prim of prim * prim_arg list
type instr =
| Let of Var.t * expr
| Assign of Var.t * Var.t
| Set_field of Var.t * int * Var.t
| Offset_ref of Var.t * int
| Array_set of Var.t * Var.t * Var.t
type last =
| Return of Var.t
| Raise of Var.t * [ `Normal | `Notrace | `Reraise ]
| Stop
| Branch of cont
| Cond of Var.t * cont * cont
| Switch of Var.t * cont array * cont array
| Pushtrap of cont * Var.t * cont * Addr.Set.t
| Poptrap of cont
type block =
{ params : Var.t list
; body : (instr * loc) list
; branch : last * loc
}
type program =
{ start : Addr.t
; blocks : block Addr.Map.t
; free_pc : Addr.t
}
let noloc = No
let location_of_pc pc = Before pc
module Print = struct
let rec list pr f l =
match l with
| [] -> ()
| [ x ] -> pr f x
| x :: r -> Format.fprintf f "%a, %a" pr x (list pr) r
let var_list = list Var.print
let cont f (pc, args) = Format.fprintf f "%d (%a)" pc var_list args
let rec constant f x =
match x with
| String s -> Format.fprintf f "%S" s
| NativeString (Byte s) -> Format.fprintf f "%Sj" s
| NativeString (Utf (Utf8 s)) -> Format.fprintf f "%Sj" s
| Float fl -> Format.fprintf f "%.12g" fl
| Float_array a ->
Format.fprintf f "[|";
for i = 0 to Array.length a - 1 do
if i > 0 then Format.fprintf f ", ";
Format.fprintf f "%.12g" a.(i)
done;
Format.fprintf f "|]"
| Int64 i -> Format.fprintf f "%LdL" i
| Tuple (tag, a, _) -> (
Format.fprintf f "<%d>" tag;
match Array.length a with
| 0 -> ()
| 1 ->
Format.fprintf f "(";
constant f a.(0);
Format.fprintf f ")"
| n ->
Format.fprintf f "(";
constant f a.(0);
for i = 1 to n - 1 do
Format.fprintf f ", ";
constant f a.(i)
done;
Format.fprintf f ")")
| Int i -> Format.fprintf f "%ld" i
let arg f a =
match a with
| Pv x -> Var.print f x
| Pc c -> constant f c
let binop s =
match s with
| "%int_add" -> "+"
| "%int_sub" -> "-"
| "%int_mul" -> "*"
| "%int_div" -> "/"
| "%int_mod" -> "%"
| "%int_and" -> "&"
| "%int_or" -> "|"
| "%int_xor" -> "^"
| "%int_lsl" -> "<<"
| "%int_lsr" -> ">>>"
| "%int_asr" -> ">>"
| _ -> raise Not_found
let unop s =
match s with
| "%int_neg" -> "-"
| _ -> raise Not_found
let prim f p l =
match p, l with
| Vectlength, [ x ] -> Format.fprintf f "%a.length" arg x
| Array_get, [ x; y ] -> Format.fprintf f "%a[%a]" arg x arg y
| Extern s, [ x; y ] -> (
try Format.fprintf f "%a %s %a" arg x (binop s) arg y
with Not_found -> Format.fprintf f "\"%s\"(%a)" s (list arg) l)
| Extern s, [ x ] -> (
try Format.fprintf f "%s %a" (unop s) arg x
with Not_found -> Format.fprintf f "\"%s\"(%a)" s (list arg) l)
| Extern s, _ -> Format.fprintf f "\"%s\"(%a)" s (list arg) l
| Not, [ x ] -> Format.fprintf f "!%a" arg x
| IsInt, [ x ] -> Format.fprintf f "is_int(%a)" arg x
| Eq, [ x; y ] -> Format.fprintf f "%a === %a" arg x arg y
| Neq, [ x; y ] -> Format.fprintf f "!(%a === %a)" arg x arg y
| Lt, [ x; y ] -> Format.fprintf f "%a < %a" arg x arg y
| Le, [ x; y ] -> Format.fprintf f "%a <= %a" arg x arg y
| Ult, [ x; y ] -> Format.fprintf f "%a <= %a" arg x arg y
| _ -> assert false
let expr f e =
match e with
| Apply { f = g; args; exact } ->
if exact
then Format.fprintf f "%a!(%a)" Var.print g var_list args
else Format.fprintf f "%a(%a)" Var.print g var_list args
| Block (t, a, _) ->
Format.fprintf f "{tag=%d" t;
for i = 0 to Array.length a - 1 do
Format.fprintf f "; %d = %a" i Var.print a.(i)
done;
Format.fprintf f "}"
| Field (x, i) -> Format.fprintf f "%a[%d]" Var.print x i
| Closure (l, c) -> Format.fprintf f "fun(%a){%a}" var_list l cont c
| Constant c -> Format.fprintf f "CONST{%a}" constant c
| Prim (p, l) -> prim f p l
let instr f (i, _loc) =
match i with
| Let (x, e) -> Format.fprintf f "%a = %a" Var.print x expr e
| Assign (x, y) -> Format.fprintf f "(assign) %a = %a" Var.print x Var.print y
| Set_field (x, i, y) -> Format.fprintf f "%a[%d] = %a" Var.print x i Var.print y
| Offset_ref (x, i) -> Format.fprintf f "%a[0] += %d" Var.print x i
| Array_set (x, y, z) ->
Format.fprintf f "%a[%a] = %a" Var.print x Var.print y Var.print z
let last f (l, _loc) =
match l with
| Return x -> Format.fprintf f "return %a" Var.print x
| Raise (x, `Normal) -> Format.fprintf f "raise %a" Var.print x
| Raise (x, `Reraise) -> Format.fprintf f "reraise %a" Var.print x
| Raise (x, `Notrace) -> Format.fprintf f "raise_notrace %a" Var.print x
| Stop -> Format.fprintf f "stop"
| Branch c -> Format.fprintf f "branch %a" cont c
| Cond (x, cont1, cont2) ->
Format.fprintf f "if %a then %a else %a" Var.print x cont cont1 cont cont2
| Switch (x, a1, a2) ->
Format.fprintf f "switch %a {" Var.print x;
Array.iteri a1 ~f:(fun i c -> Format.fprintf f "int %d -> %a; " i cont c);
Array.iteri a2 ~f:(fun i c -> Format.fprintf f "tag %d -> %a; " i cont c);
Format.fprintf f "}"
| Pushtrap (cont1, x, cont2, pcs) ->
Format.fprintf
f
"pushtrap %a handler %a => %a continuation %s"
cont
cont1
Var.print
x
cont
cont2
(String.concat ~sep:", " (List.map (Addr.Set.elements pcs) ~f:string_of_int))
| Poptrap c -> Format.fprintf f "poptrap %a" cont c
type xinstr =
| Instr of (instr * loc)
| Last of (last * loc)
let block annot pc block =
Format.eprintf "==== %d (%a) ====@." pc var_list block.params;
List.iter block.body ~f:(fun i ->
Format.eprintf " %s %a@." (annot pc (Instr i)) instr i);
Format.eprintf " %s %a@." (annot pc (Last block.branch)) last block.branch;
Format.eprintf "@."
let program annot { start; blocks; _ } =
Format.eprintf "Entry point: %d@.@." start;
Addr.Map.iter (block annot) blocks
end
let fold_closures p f accu =
Addr.Map.fold
(fun _ block accu ->
List.fold_left block.body ~init:accu ~f:(fun accu (i, _loc) ->
match i with
| Let (x, Closure (params, cont)) -> f (Some x) params cont accu
| _ -> accu))
p.blocks
(f None [] (p.start, []) accu)
let prepend ({ start; blocks; free_pc } as p) body =
match body with
| [] -> p
| _ -> (
match Addr.Map.find start blocks with
| block ->
{ p with
blocks = Addr.Map.add start { block with body = body @ block.body } blocks
}
| exception Not_found ->
let new_start = free_pc in
let blocks =
Addr.Map.add new_start { params = []; body; branch = Stop, noloc } blocks
in
let free_pc = free_pc + 1 in
{ start = new_start; blocks; free_pc })
let empty_block = { params = []; body = []; branch = Stop, noloc }
let empty =
let start = 0 in
let blocks = Addr.Map.singleton start empty_block in
{ start; blocks; free_pc = start + 1 }
let is_empty p =
match Addr.Map.cardinal p.blocks with
| 0 -> true
| 1 -> (
let _, v = Addr.Map.choose p.blocks in
match v with
| { body; branch = Stop, _; params = _ } -> (
match body with
| ([] | [ (Let (_, Prim (Extern "caml_get_global_data", _)), _) ]) when true ->
true
| _ -> false)
| _ -> false)
| _ -> false
let fold_children blocks pc f accu =
let block = Addr.Map.find pc blocks in
match fst block.branch with
| Return _ | Raise _ | Stop -> accu
| Branch (pc', _) | Poptrap (pc', _) -> f pc' accu
| Pushtrap ((pc', _), _, (pc_h, _), _) ->
let accu = f pc' accu in
let accu = f pc_h accu in
accu
| Cond (_, (pc1, _), (pc2, _)) ->
let accu = f pc1 accu in
let accu = f pc2 accu in
accu
| Switch (_, a1, a2) ->
let accu = Array.fold_right ~init:accu ~f:(fun (pc, _) accu -> f pc accu) a1 in
let accu = Array.fold_right ~init:accu ~f:(fun (pc, _) accu -> f pc accu) a2 in
accu
type 'c fold_blocs = block Addr.Map.t -> Addr.t -> (Addr.t -> 'c -> 'c) -> 'c -> 'c
type fold_blocs_poly = { fold : 'a. 'a fold_blocs } [@@unboxed]
let rec traverse' { fold } f pc visited blocks acc =
if not (Addr.Set.mem pc visited)
then
let visited = Addr.Set.add pc visited in
let visited, acc =
fold
blocks
pc
(fun pc (visited, acc) ->
let visited, acc = traverse' { fold } f pc visited blocks acc in
visited, acc)
(visited, acc)
in
let acc = f pc acc in
visited, acc
else visited, acc
let traverse fold f pc blocks acc = snd (traverse' fold f pc Addr.Set.empty blocks acc)
let rec preorder_traverse' { fold } f pc visited blocks acc =
if not (Addr.Set.mem pc visited)
then
let visited = Addr.Set.add pc visited in
let acc = f pc acc in
fold
blocks
pc
(fun pc (visited, acc) ->
let visited, acc = preorder_traverse' { fold } f pc visited blocks acc in
visited, acc)
(visited, acc)
else visited, acc
let preorder_traverse fold f pc blocks acc =
snd (preorder_traverse' fold f pc Addr.Set.empty blocks acc)
let fold_closures_innermost_first { start; blocks; _ } f accu =
let rec visit blocks pc f accu =
traverse
{ fold = fold_children }
(fun pc accu ->
let block = Addr.Map.find pc blocks in
List.fold_left block.body ~init:accu ~f:(fun accu i ->
match i with
| Let (x, Closure (params, cont)), _ ->
let accu = visit blocks (fst cont) f accu in
f (Some x) params cont accu
| _ -> accu))
pc
blocks
accu
in
let accu = visit blocks start f accu in
f None [] (start, []) accu
let eq p1 p2 =
p1.start = p2.start
&& Addr.Map.cardinal p1.blocks = Addr.Map.cardinal p2.blocks
&& Addr.Map.fold
(fun pc block1 b ->
b
&&
try
let block2 = Addr.Map.find pc p2.blocks in
Poly.(block1.params = block2.params)
&& Poly.(block1.branch = block2.branch)
&& Poly.(block1.body = block2.body)
with Not_found -> false)
p1.blocks
true
let with_invariant = Debug.find "invariant"
let check_defs = false
let invariant { blocks; start; _ } =
if with_invariant ()
then (
assert (Addr.Map.mem start blocks);
let defs = Array.make (Var.count ()) false in
let check_cont (cont, args) =
let b = Addr.Map.find cont blocks in
assert (List.length args >= List.length b.params)
in
let define x =
if check_defs
then (
assert (not defs.(Var.idx x));
defs.(Var.idx x) <- true)
in
let check_expr = function
| Apply _ -> ()
| Block (_, _, _) -> ()
| Field (_, _) -> ()
| Closure (l, cont) ->
List.iter l ~f:define;
check_cont cont
| Constant _ -> ()
| Prim (_, _) -> ()
in
let check_instr (i, _loc) =
match i with
| Let (x, e) ->
define x;
check_expr e
| Assign _ -> ()
| Set_field (_, _i, _) -> ()
| Offset_ref (_x, _i) -> ()
| Array_set (_x, _y, _z) -> ()
in
let check_last (l, _loc) =
match l with
| Return _ -> ()
| Raise _ -> ()
| Stop -> ()
| Branch cont -> check_cont cont
| Cond (_x, cont1, cont2) ->
check_cont cont1;
check_cont cont2
| Switch (_x, a1, a2) ->
Array.iteri a1 ~f:(fun _ cont -> check_cont cont);
Array.iteri a2 ~f:(fun _ cont -> check_cont cont)
| Pushtrap (cont1, _x, cont2, _pcs) ->
check_cont cont1;
check_cont cont2
| Poptrap cont -> check_cont cont
in
Addr.Map.iter
(fun _pc block ->
List.iter block.params ~f:define;
List.iter block.body ~f:check_instr;
check_last block.branch)
blocks)