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(** User-friendly representation of types. *)
(** Show generalized variables in records. *)
let show_record_schemes = ref true
(** Use globally unique names for existential variables. *)
let global_evar_names = ref false
open Type_base
include R
(** Given a position, find the relevant excerpt. *)
let excerpt (start, stop) =
try
if start.Lexing.pos_fname <> stop.Lexing.pos_fname then raise Exit;
let fname = start.Lexing.pos_fname in
let l1 = start.Lexing.pos_lnum in
let l2 = stop.Lexing.pos_lnum in
let ic = open_in fname in
let n = ref 1 in
while !n < l1 do
ignore (input_line ic);
incr n
done;
let lines = ref [] in
while !n <= l2 do
lines := input_line ic :: !lines;
incr n
done;
close_in ic;
let lines = Array.of_list (List.rev !lines) in
let lines =
let n = Array.length lines in
if Array.length lines > 5 then
[| lines.(0); lines.(1); "..."; lines.(n - 2); lines.(n - 1) |]
else lines
in
let insert_at x n s =
let s1 = String.sub s 0 n in
let s2 = String.sub s n (String.length s - n) in
s1 ^ x ^ s2
in
lines.(Array.length lines - 1) <-
insert_at (Console.stop_color ())
(stop.Lexing.pos_cnum - stop.Lexing.pos_bol)
lines.(Array.length lines - 1);
lines.(0) <-
insert_at
(Console.start_color [`red])
(start.Lexing.pos_cnum - start.Lexing.pos_bol)
lines.(0);
let lines = Array.to_list lines in
let s = String.concat "\n" lines ^ "\n" in
Some s
with _ -> None
let excerpt_opt = function Some pos -> excerpt pos | None -> None
(** Given a strictly positive integer, generate a name in [a-z]+:
a, b, ... z, aa, ab, ... az, ba, ... *)
let name =
let base = 26 in
let c i = char_of_int (int_of_char 'a' + i - 1) in
let add i suffix = Printf.sprintf "%c%s" (c i) suffix in
let rec n suffix i =
if i <= base then add i suffix
else (
let head = i mod base in
let head = if head = 0 then base else head in
n (add head suffix) ((i - head) / base))
in
n ""
(** Generate a globally unique name for evars (used for debugging only). *)
let evar_global_name =
let evars = Hashtbl.create 10 in
let n = ref 0 in
fun i ->
try Hashtbl.find evars i
with Not_found ->
incr n;
let name = String.uppercase_ascii (name !n) in
Hashtbl.add evars i name;
name
(** Compute the structure that a term represents, given the list of universally
quantified variables. Also takes care of computing the printing name of
variables, including constraint symbols, which are removed from constraint
lists. It supports a mechanism for filtering out parts of the type, which are
then translated as `Ellipsis. *)
let make ?(filter_out = fun _ -> false) ?(generalized = []) t : t =
let split_constr c =
List.fold_left (fun (s, constraints) c -> (s, c :: constraints)) ("", []) c
in
let uvar g var =
let constr_symbols, c =
split_constr (Constraints.elements var.constraints)
in
let rec index n = function
| v :: tl ->
if Var.eq v var then Printf.sprintf "'%s%s" constr_symbols (name n)
else index (n + 1) tl
| [] -> assert false
in
let v = index 1 (List.rev g) in
`UVar (v, Constraints.of_list c)
in
let counter =
let c = ref 0 in
fun () ->
incr c;
!c
in
let evars = Hashtbl.create 10 in
let evar var =
let constr_symbols, c =
split_constr (Constraints.elements var.constraints)
in
if !global_evar_names || !debug || !debug_levels then (
let v =
Printf.sprintf "'%s%s" constr_symbols (evar_global_name var.name)
in
let v =
if !debug_levels then (
let level = var.level in
let level = if level = max_int then "∞" else string_of_int level in
Printf.sprintf "%s[%s]" v level)
else v
in
`EVar (v, Constraints.of_list c))
else (
let s =
try Hashtbl.find evars var.name
with Not_found ->
let name = String.uppercase_ascii (name (counter ())) in
Hashtbl.add evars var.name name;
name
in
`EVar (Printf.sprintf "'%s%s" constr_symbols s, Constraints.of_list c))
in
let rec repr g t =
if filter_out t then `Ellipsis
else (
match t.descr with
| Custom c -> c.repr repr g c.typ
| Getter t -> `Getter (repr g t)
| List { t; json_repr } -> `List (repr g t, json_repr)
| Tuple l -> `Tuple (List.map (repr g) l)
| Nullable t -> `Nullable (repr g t)
| Meth ({ meth = l; optional; scheme = g', u; json_name }, v) ->
let gen =
List.map
(fun v -> match uvar (g' @ g) v with `UVar v -> v)
(List.sort_uniq compare g')
in
`Meth
( R.
{
name = l;
optional;
scheme = (gen, repr (g' @ g) u);
json_name;
},
repr g v )
| Constr { constructor; params } ->
`Constr (constructor, List.map (fun (l, t) -> (l, repr g t)) params)
| Arrow (args, t) ->
`Arrow
( List.map (fun (opt, lbl, t) -> (opt, lbl, repr g t)) args,
repr g t )
| Var { contents = Free var } ->
if List.exists (Var.eq var) g then uvar g var else evar var
| Var { contents = Link (`Covariant, t) } when !debug || !debug_variance
->
`Debug ("[>", repr g t, "]")
| Var { contents = Link (_, t) } -> repr g t
| _ -> raise NotImplemented)
in
repr generalized t
(** Print a type representation. Unless in debug mode, variable identifiers are
not shown, and variable names are generated. Names are only meaningful over
one printing, as they are re-used. *)
let print f t =
let rec print ~par vars : t -> DS.t = function
| `Constr (name, [(_, (`Meth _ as record_type))])
when name = "source" || name = "format" ->
Format.open_box (1 + String.length name);
Format.fprintf f "%s(" name;
let rec fields = function
| `Meth ({ R.name = field }, base_type)
when List.mem_assoc (Some field) fields ->
extract fields base_type
| `Meth ({ R.scheme = _, `Constr ("never", _) }, base_type) ->
extract fields base_type
| `Meth (R.{ name = field; optional; scheme = _, ty }, base_type) ->
extract ((Some field, (optional, ty)) :: fields) base_type
| base_type -> (fields, base_type)
in
let fields, base_type = extract [] record_type in
let fields =
List.sort (fun (l, _) (l', _) -> Stdlib.compare l l') fields
in
let fields =
match (base_type, fields) with
| `Tuple [], _ -> fields
| v, _ -> fields @ [(None, (false, v))]
in
let _, vars =
List.fold_left
(fun (first, vars) (lbl, (optional, t)) ->
if not first then Format.fprintf f ",@ ";
ignore
(Option.map
(Format.fprintf f "%s%s=" (if optional then "?" else ""))
lbl);
let vars = print ~par:false vars t in
(false, vars))
(true, vars) fields
in
Format.fprintf f ")";
Format.close_box ();
vars
| `Constr (name, []) ->
Format.fprintf f "%s" name;
vars
| `Constr ("none", _) ->
Format.fprintf f "none";
vars
| `Constr (name, params) ->
Format.open_box (1 + String.length name);
Format.fprintf f "%s(" name;
let vars = print_list vars params in
Format.fprintf f ")";
Format.close_box ();
vars
| `Tuple [] ->
Format.fprintf f "unit";
vars
| `Tuple l ->
if par then Format.fprintf f "@[<1>(" else Format.fprintf f "@[<0>";
let rec aux vars = function
| [a] -> print ~par:true vars a
| a :: l ->
let vars = print ~par:true vars a in
Format.fprintf f " *@ ";
aux vars l
| [] -> assert false
in
let vars = aux vars l in
if par then Format.fprintf f ")@]" else Format.fprintf f "@]";
vars
| `Nullable t ->
let vars = print ~par:true vars t in
Format.fprintf f "?";
vars
| `Meth (R.{ name = l; scheme = _, a }, b) as t ->
if not !debug then (
let rec aux = function
| `Meth (R.{ name = l; optional; scheme = t; json_name }, u) ->
let m, u = aux u in
((l, optional, t, json_name) :: m, u)
| u -> ([], u)
in
let m, t = aux t in
let rec aux = function
| (l, o, t, json_name) :: m ->
(l, o, t, json_name)
:: aux (List.filter (fun (l', _, _, _) -> l <> l') m)
| [] -> []
in
let m = aux m in
let m =
List.sort (fun (l, _, _, _) (l', _, _, _) -> compare l l') m
in
let vars =
if t = `Tuple [] then (
Format.fprintf f "@,@[<hv 2>{@,";
vars)
else (
let vars = print ~par:true vars t in
Format.fprintf f "@,@[<hv 2>.{@,";
vars)
in
let vars =
if m = [] then vars
else (
let rec gen = function
| (x, _) :: g -> x ^ "." ^ gen g
| [] -> ""
in
let gen g =
if !show_record_schemes then gen (List.sort compare g) else ""
in
let rec aux vars = function
| [(l, optional, (g, t), Some json_name)] ->
let optional = if optional then "?" else "" in
Format.fprintf f "%s%s as %s%s : %s"
(Lang_string.quote_utf8_string json_name)
optional l optional (gen g);
print ~par:true vars t
| [(l, optional, (g, t), None)] ->
let optional = if optional then "?" else "" in
Format.fprintf f "%s%s : %s" l optional (gen g);
print ~par:false vars t
| (l, optional, (g, t), Some json_name) :: m ->
let optional = if optional then "?" else "" in
Format.fprintf f "%s%s as %s%s : %s"
(Lang_string.quote_utf8_string json_name)
optional l optional (gen g);
let vars = print ~par:false vars t in
Format.fprintf f ",@ ";
aux vars m
| (l, optional, (g, t), None) :: m ->
let optional = if optional then "?" else "" in
Format.fprintf f "%s%s : %s" l optional (gen g);
let vars = print ~par:false vars t in
Format.fprintf f ",@ ";
aux vars m
| [] -> assert false
in
aux vars m)
in
Format.fprintf f "@]@,}";
vars)
else (
let vars = print ~par:true vars b in
Format.fprintf f ".{%s = " l;
let vars = print ~par:false vars a in
Format.fprintf f "}";
vars)
| `List (t, `Tuple) ->
Format.fprintf f "@[<1>[";
let vars = print ~par:false vars t in
Format.fprintf f "]@]";
vars
| `List (t, `Object) ->
Format.fprintf f "@[<1>[";
let vars = print ~par:false vars t in
Format.fprintf f "] as json.object@]";
vars
| `Getter t ->
Format.fprintf f "{";
let vars = print ~par:false vars t in
Format.fprintf f "}";
vars
| (`EVar (_, c) | `UVar (_, c))
when Constraints.cardinal c = 1
&& (Constraints.choose c).univ_descr <> None ->
let constr = Constraints.choose c in
Format.fprintf f "%s" (Option.get constr.univ_descr);
vars
| `EVar (name, c) | `UVar (name, c) ->
Format.fprintf f "%s" name;
if not (Constraints.is_empty c) then DS.add (name, c) vars else vars
| `Arrow (p, t) ->
if par then Format.fprintf f "@[<hov 1>("
else Format.fprintf f "@[<hov 0>";
Format.fprintf f "@[<1>(";
let _, vars =
List.fold_left
(fun (first, vars) (opt, lbl, kind) ->
if not first then Format.fprintf f ",@ ";
if opt then Format.fprintf f "?";
if lbl <> "" then Format.fprintf f "%s : " lbl;
let vars = print ~par:true vars kind in
(false, vars))
(true, vars) p
in
Format.fprintf f ")@] ->@ ";
let vars = print ~par:false vars t in
if par then Format.fprintf f ")@]" else Format.fprintf f "@]";
vars
| `Ellipsis ->
Format.fprintf f "_";
vars
| `Range_Ellipsis ->
Format.fprintf f "...";
vars
| `Debug (a, b, c) ->
Format.fprintf f "%s" a;
let vars = print ~par:false vars b in
Format.fprintf f "%s" c;
vars
and print_list ?(first = true) ?(acc = []) vars = function
| [] -> vars
| (_, x) :: l ->
if not first then Format.fprintf f ",";
let vars = print ~par:false vars x in
print_list ~first:false ~acc:(x :: acc) vars l
in
Format.fprintf f "@[";
begin
match t with
| `EVar (_, c) when not (Constraints.is_empty c) ->
Format.fprintf f "something that is %s"
(String.concat " and "
(List.map string_of_constr (Constraints.elements c)))
| `UVar (_, c) when not (Constraints.is_empty c) ->
Format.fprintf f "anything that is %s"
(String.concat " and "
(List.map string_of_constr (Constraints.elements c)))
| _ ->
let constraints = print ~par:false DS.empty t in
let constraints = DS.elements constraints in
if constraints <> [] then (
let constraints =
List.map
(fun (name, c) ->
( name,
String.concat " and "
(List.map string_of_constr (Constraints.elements c)) ))
constraints
in
let constraints =
List.stable_sort (fun (_, a) (_, b) -> compare a b) constraints
in
let group : ('a * 'b) list -> ('a list * 'b) list = function
| [] -> []
| (i, c) :: l ->
let rec group prev acc = function
| [] -> [(List.rev acc, prev)]
| (i, c) :: l ->
if prev = c then group c (i :: acc) l
else (List.rev acc, prev) :: group c [i] l
in
group c [i] l
in
let constraints = group constraints in
let constraints =
List.map
(fun (ids, c) -> String.concat ", " ids ^ " is " ^ c)
constraints
in
Format.fprintf f "@ @[<2>where@ ";
Format.fprintf f "%s" (List.hd constraints);
List.iter
(fun s -> Format.fprintf f ",@ %s" s)
(List.tl constraints);
Format.fprintf f "@]")
end;
Format.fprintf f "@]"
let to_string t =
print Format.str_formatter t;
Format.fprintf Format.str_formatter "@?";
Format.flush_str_formatter ()
let print_type f t = print f (make t)
let print_scheme f (generalized, t) =
if !debug then
List.iter
(fun v ->
print f (make ~generalized (Type_base.make (Var (ref (Free v)))));
Format.fprintf f ".")
generalized;
print f (make ~generalized t)
(** String representation of a type. *)
let string_of_type ?generalized t = to_string (make ?generalized t)
let () = Type_base.to_string_fun := string_of_type
(** String representation of a type scheme. *)
let string_of_scheme (g, t) = string_of_type ~generalized:g t
type explanation = bool * Type_base.t * Type_base.t * t * t
exception Type_error of explanation
let print_type_error ~formatter
((flipped, ta, tb, a, b) : explanation) =
error_header ta.pos;
match b with
| `Meth (R.{ name = l; scheme = [], `Ellipsis }, `Ellipsis) when not flipped
->
Format.fprintf formatter
"this value has no method `%s`@.@[<2> Its type is %s.@]@." l
(string_of_type ta)
| _ ->
let inferred_pos a =
let dpos = (deref a).pos in
if a.pos = dpos then ""
else (
match dpos with
| None -> ""
| Some p -> " (inferred at " ^ Pos.to_string ~prefix:"" p ^ ")")
in
let ta, tb, a, b = if flipped then (tb, ta, b, a) else (ta, tb, a, b) in
Format.fprintf formatter "this value has type@.@[<2> %a@]%s@ " print a
(inferred_pos ta);
Format.fprintf formatter
"but it should be a %stype of%s@.@[<2> %a@]%s@]@."
(if flipped then "super" else "sub")
(match tb.pos with
| None -> ""
| Some p ->
Printf.sprintf " the type of the value at %s"
(Pos.to_string ~prefix:"" p))
print b (inferred_pos tb)