ocaml/typing/ctype.ml

2646 lines
87 KiB
OCaml

(***********************************************************************)
(* *)
(* Objective Caml *)
(* *)
(* Xavier Leroy and Jerome Vouillon, projet Cristal, INRIA Rocquencourt*)
(* *)
(* Copyright 1996 Institut National de Recherche en Informatique et *)
(* en Automatique. All rights reserved. This file is distributed *)
(* under the terms of the Q Public License version 1.0. *)
(* *)
(***********************************************************************)
(* $Id$ *)
(* Operations on core types *)
open Misc
open Asttypes
open Types
open Btype
(*
Type manipulation after type inference
======================================
If one wants to manipulate a type after type inference (for
instance, during code generation or in the debugger), one must
first make sure that the type levels are correct, using the
function [correct_levels]. Then, this type can be correctely
manipulated by [apply], [expand_head] and [moregeneral].
*)
(*
General notes
=============
- As much sharing as possible should be kept : it makes types
smaller and better abbreviated.
When necessary, some sharing can be lost. Types will still be
printed correctly (+++ TO DO...), and abbreviations defined by a
class do not depend on sharing thanks to constrained
abbreviations. (Of course, even if some sharing is lost, typing
will still be correct.)
- All nodes of a type have a level : that way, one know whether a
node need to be duplicated or not when instantiating a type.
- Levels of a type are decreasing (generic level being considered
as greatest).
- The level of a type constructor is superior to the binding
time of its path.
- Recursive types without limitation should be handled (even if
there is still an occur check). This avoid treating specially the
case for objects, for instance. Furthermore, the occur check
policy can then be easily changed.
*)
(*
A faire
=======
- Revoir affichage des types.
- Etendre la portee d'un alias [... as 'a] a tout le type englobant.
- #-type implementes comme de vraies abreviations.
- Niveaux plus fins pour les identificateurs :
Champ [global] renomme en [level];
Niveau -1 : global
0 : module toplevel
1 : module contenu dans module toplevel
...
En fait, incrementer le niveau a chaque fois que l'on rentre dans
un module.
3 4 6
\ / /
1 2 5
\|/
0
[Subst] doit ecreter les niveaux (pour qu'un variable non
generalisable dans un module de niveau 2 ne se retrouve pas
generalisable lorsque l'on l'utilise au niveau 0).
- Traitement de la trace de l'unification separe de la fonction
[unify].
*)
(**** Errors ****)
exception Unify of (type_expr * type_expr) list
exception Tags of label * label
exception Subtype of
(type_expr * type_expr) list * (type_expr * type_expr) list
exception Cannot_expand
exception Cannot_apply
exception Recursive_abbrev
(**** Type level management ****)
let current_level = ref 0
let nongen_level = ref 0
let global_level = ref 1
let saved_level = ref []
let saved_global_level = ref []
let init_def level = current_level := level; nongen_level := level
let begin_def () =
saved_level := (!current_level, !nongen_level) :: !saved_level;
incr current_level; nongen_level := !current_level
let begin_class_def () =
saved_level := (!current_level, !nongen_level) :: !saved_level;
incr current_level
let raise_nongen_level () =
saved_level := (!current_level, !nongen_level) :: !saved_level;
nongen_level := !current_level
let end_def () =
let (cl, nl) = List.hd !saved_level in
saved_level := List.tl !saved_level;
current_level := cl; nongen_level := nl
let reset_global_level () =
global_level := !current_level + 1;
saved_global_level := []
let increase_global_level () =
saved_global_level := !global_level :: !saved_global_level;
global_level := !current_level
let restore_global_level () =
match !saved_global_level with
gl::rem -> global_level := gl; saved_global_level := rem
| [] -> assert false
(**** Some type creators ****)
(* Re-export generic type creators *)
let newty2 = Btype.newty2
let newty desc = newty2 !current_level desc
let new_global_ty desc = newty2 !global_level desc
let newvar () = newty2 !current_level Tvar
let newvar2 level = newty2 level Tvar
let new_global_var () = newty2 !global_level Tvar
let newobj fields = newty (Tobject (fields, ref None))
let newconstr path tyl = newty (Tconstr (path, tyl, ref Mnil))
let none = newty (Ttuple []) (* Clearly ill-formed type *)
(**** Representative of a type ****)
(* Re-export repr *)
let repr = repr
(**** Type maps ****)
module TypePairs =
Hashtbl.Make (struct
type t = type_expr * type_expr
let equal (t1, t1') (t2, t2') = (t1 == t2) && (t1' == t2')
let hash (t, t') = t.id + 93 * t'.id
end)
(**********************************************)
(* Miscellaneous operations on object types *)
(**********************************************)
(**** Object field manipulation. ****)
let object_fields ty =
match (repr ty).desc with
Tobject (fields, _) -> fields
| _ -> assert false
let flatten_fields ty =
let rec flatten l ty =
let ty = repr ty in
match ty.desc with
Tfield(s, k, ty1, ty2) ->
flatten ((s, k, ty1)::l) ty2
| _ ->
(l, ty)
in
let (l, r) = flatten [] ty in
(Sort.list (fun (n, _, _) (n', _, _) -> n < n') l, r)
let build_fields level =
List.fold_right
(fun (s, k, ty1) ty2 -> newty2 level (Tfield(s, k, ty1, ty2)))
let associate_fields fields1 fields2 =
let rec associate p s s' =
function
(l, []) ->
(List.rev p, (List.rev s) @ l, List.rev s')
| ([], l') ->
(List.rev p, List.rev s, (List.rev s') @ l')
| ((n, k, t)::r, (n', k', t')::r') when n = n' ->
associate ((n, k, t, k', t')::p) s s' (r, r')
| ((n, k, t)::r, ((n', k', t')::_ as l')) when n < n' ->
associate p ((n, k, t)::s) s' (r, l')
| (((n, k, t)::r as l), (n', k', t')::r') (* when n > n' *) ->
associate p s ((n', k', t')::s') (l, r')
in
associate [] [] [] (fields1, fields2)
(**** Check whether an object is open ****)
(* +++ Il faudra penser a eventuellement expanser l'abreviation *)
let rec opened_object ty =
match (repr ty).desc with
Tobject (t, _) -> opened_object t
| Tfield(_, _, _, t) -> opened_object t
| Tvar -> true
| _ -> false
(**** Close an object ****)
let close_object ty =
let rec close ty =
let ty = repr ty in
match ty.desc with
Tvar -> ty.desc <- Tlink (newty2 ty.level Tnil)
| Tfield(_, _, _, ty') -> close ty'
| _ -> assert false
in
match (repr ty).desc with
Tobject (ty, _) -> close ty
| _ -> assert false
(**** Row variable of an object type ****)
let row_variable ty =
let rec find ty =
let ty = repr ty in
match ty.desc with
Tfield (_, _, _, ty) -> find ty
| Tvar -> ty
| _ -> assert false
in
match (repr ty).desc with
Tobject (fi, _) -> find fi
| _ -> assert false
(**** Object name manipulation ****)
(* +++ Bientot obsolete *)
let set_object_name id rv params ty =
match (repr ty).desc with
Tobject (fi, nm) ->
begin try
nm := Some (Path.Pident id, rv::params)
with Not_found ->
()
end
| _ ->
assert false
let remove_object_name ty =
match (repr ty).desc with
Tobject (_, nm) -> nm := None
| Tconstr (_, _, _) -> ()
| _ -> fatal_error "Ctype.remove_object_name"
(**** Hiding of private methods ****)
let hide_private_methods ty =
let (fl, _) = flatten_fields (object_fields ty) in
List.iter
(function (_, k, _) ->
let k = field_kind_repr k in
match k with
Fvar r -> r := Some Fabsent
| _ -> ())
fl
(*******************************)
(* Operations on class types *)
(*******************************)
let rec signature_of_class_type =
function
Tcty_constr (_, _, cty) -> signature_of_class_type cty
| Tcty_signature sign -> sign
| Tcty_fun (_, ty, cty) -> signature_of_class_type cty
let self_type cty =
repr (signature_of_class_type cty).cty_self
let rec class_type_arity =
function
Tcty_constr (_, _, cty) -> class_type_arity cty
| Tcty_signature _ -> 0
| Tcty_fun (_, _, cty) -> 1 + class_type_arity cty
(*******************************************)
(* Miscellaneous operations on row types *)
(*******************************************)
let sort_row_fields = Sort.list (fun (p,_) (q,_) -> p < q)
let merge_row_fields fi1 fi2 =
let rec merge r1 r2 pairs fi1 fi2 =
match fi1, fi2 with
(l1,f1 as p1)::fi1', (l2,f2 as p2)::fi2' ->
if l1 = l2 then merge r1 r2 ((l1,f1,f2)::pairs) fi1' fi2' else
if l1 < l2 then merge (p1::r1) r2 pairs fi1' fi2 else
merge r1 (p2::r2) pairs fi1 fi2'
| [], _ -> (List.rev r1, List.rev_append r2 fi2, pairs)
| _, [] -> (List.rev_append r1 fi1, List.rev r2, pairs)
in
merge [] [] [] (sort_row_fields fi1) (sort_row_fields fi2)
let rec filter_row_fields erase = function
[] -> []
| (l,f as p)::fi ->
let fi = filter_row_fields erase fi in
match row_field_repr f with
Rabsent -> fi
| Reither(_,_,false,e) when erase -> e := Some Rabsent; fi
| _ -> p :: fi
(**************************************)
(* Check genericity of type schemes *)
(**************************************)
exception Non_closed
let rec closed_schema_rec ty =
let ty = repr ty in
if ty.level >= lowest_level then begin
let level = ty.level in
ty.level <- pivot_level - level;
match ty.desc with
Tvar when level <> generic_level ->
raise Non_closed
| Tfield(_, kind, t1, t2) ->
if field_kind_repr kind = Fpresent then
closed_schema_rec t1;
closed_schema_rec t2
| Tvariant row when static_row row ->
iter_row closed_schema_rec row
| _ ->
iter_type_expr closed_schema_rec ty
end
(* Return whether all variables of type [ty] are generic. *)
let closed_schema ty =
try
closed_schema_rec ty;
unmark_type ty;
true
with Non_closed ->
unmark_type ty;
false
exception Non_closed of type_expr * bool
let free_variables = ref []
let rec free_vars_rec real ty =
let ty = repr ty in
if ty.level >= lowest_level then begin
ty.level <- pivot_level - ty.level;
begin match ty.desc with
Tvar ->
free_variables := (ty, real) :: !free_variables
(* Do not count "virtual" free variables
| Tobject(ty, {contents = Some (_, p)}) ->
free_vars_rec false ty; List.iter (free_vars_rec true) p
*)
| Tobject (ty, _) ->
free_vars_rec false ty
| Tfield (_, _, ty1, ty2) ->
free_vars_rec true ty1; free_vars_rec false ty2
| Tvariant row ->
let row = row_repr row in
iter_row (free_vars_rec true) {row with row_bound = []};
if not (static_row row) then
free_variables := (row_more row, false) :: !free_variables
| _ ->
iter_type_expr (free_vars_rec true) ty
end;
end
let free_vars ty =
free_variables := [];
free_vars_rec true ty;
let res = !free_variables in
free_variables := [];
res
let rec closed_type ty =
match free_vars ty with
[] -> ()
| (v, real) :: _ -> raise (Non_closed (v, real))
let closed_parameterized_type params ty =
List.iter mark_type params;
try
closed_type ty;
List.iter unmark_type params;
unmark_type ty;
true
with Non_closed _ ->
List.iter unmark_type params;
unmark_type ty;
false
let closed_type_decl decl =
try
List.iter mark_type decl.type_params;
begin match decl.type_kind with
Type_abstract ->
()
| Type_variant v ->
List.iter (fun (_, tyl) -> List.iter closed_type tyl) v
| Type_record(r, rep) ->
List.iter (fun (_, _, ty) -> closed_type ty) r
end;
begin match decl.type_manifest with
None -> ()
| Some ty -> closed_type ty
end;
unmark_type_decl decl;
None
with Non_closed (ty, _) ->
unmark_type_decl decl;
Some ty
type closed_class_failure =
CC_Method of type_expr * bool * string * type_expr
| CC_Value of type_expr * bool * string * type_expr
exception Failure of closed_class_failure
let closed_class params sign =
let ty = object_fields (repr sign.cty_self) in
let (fields, rest) = flatten_fields ty in
List.iter mark_type params;
mark_type rest;
List.iter
(fun (lab, _, ty) -> if lab = "*dummy method*" then mark_type ty)
fields;
try
mark_type_node (repr sign.cty_self);
List.iter
(fun (lab, kind, ty) ->
if field_kind_repr kind = Fpresent then
try closed_type ty with Non_closed (ty0, real) ->
raise (Failure (CC_Method (ty0, real, lab, ty))))
fields;
mark_type_params (repr sign.cty_self);
List.iter unmark_type params;
unmark_class_signature sign;
None
with Failure reason ->
mark_type_params (repr sign.cty_self);
List.iter unmark_type params;
unmark_class_signature sign;
Some reason
(**********************)
(* Type duplication *)
(**********************)
(* Duplicate a type, preserving only type variables *)
let duplicate_type ty =
Subst.type_expr Subst.identity ty
(* Same, for class types *)
let duplicate_class_type ty =
Subst.class_type Subst.identity ty
(*****************************)
(* Type level manipulation *)
(*****************************)
(*
It would be a bit more efficient to remove abbreviation expansions
rather than generalizing them: these expansions will usually not be
used anymore. However, this is not possible in the general case, as
[expand_abbrev] (via [subst]) requires these expansions to be
preserved. Does it worth duplicating this code ?
*)
let rec iter_generalize tyl ty =
let ty = repr ty in
if (ty.level > !current_level) && (ty.level <> generic_level) then begin
ty.level <- generic_level;
begin match ty.desc with
Tconstr (_, _, abbrev) ->
generalize_expans tyl !abbrev
| _ -> ()
end;
iter_type_expr (iter_generalize tyl) ty
end else
tyl := ty :: !tyl
and generalize_expans tyl =
function
Mnil -> ()
| Mcons(_, ty, ty', rem) -> iter_generalize tyl ty;
iter_generalize tyl ty';
generalize_expans tyl rem
| Mlink rem -> generalize_expans tyl !rem
let rec generalize ty =
iter_generalize (ref []) ty
(* Efficient repeated generalisation of the same type *)
let iterative_generalization min_level tyl =
let tyl' = ref [] in
List.iter (iter_generalize tyl') tyl;
List.fold_right (fun ty l -> if ty.level <= min_level then l else ty::l)
!tyl' []
let try_expand_head' = (* Forward declaration *)
ref (fun env ty -> raise Cannot_expand)
(*
Lower the levels of a type (assume [level] is not
[generic_level]).
*)
(*
The level of a type constructor must be greater than its binding
time. That way, a type constructor cannot escape the scope of its
definition, as would be the case in
let x = ref []
module M = struct type t let _ = (x : t list ref) end
(without this constraint, the type system would actually be unsound.)
*)
let rec update_level env level ty =
let ty = repr ty in
if ty.level > level then begin
begin match ty.desc with
Tconstr(p, tl, abbrev) when level < Path.binding_time p ->
(* Try first to replace an abbreviation by its expansion. *)
begin try
ty.desc <- Tlink (!try_expand_head' env ty);
update_level env level ty
with Cannot_expand ->
(* +++ Levels should be restored... *)
raise (Unify [(ty, newvar2 level)])
end
| Tfield(_, k, _, _) ->
begin match field_kind_repr k with
Fvar _ (* {contents = None} *) -> raise (Unify [(ty, newvar2 level)])
| _ -> ()
end;
ty.level <- level;
iter_type_expr (update_level env level) ty
| _ ->
ty.level <- level;
iter_type_expr (update_level env level) ty
end
end
(*
Function [update_level] will never try to expand an abbreviation in
this case ([current_level] is greater than the binding time of any
type constructor path). So, it can be called with the empty
environnement.
*)
let make_nongen ty =
try
update_level Env.empty !nongen_level ty
with Unify [_, ty'] ->
raise (Unify [ty, ty'])
(* Correct the levels of type [ty]. *)
let correct_levels ty =
duplicate_type ty
(* Only generalize the type ty0 in ty *)
let limited_generalize ty0 ty =
let ty0 = repr ty0 in
let graph = Hashtbl.create 17 in
let idx = ref lowest_level in
let roots = ref [] in
let rec inverse pty ty =
let ty = repr ty in
if (ty.level > !current_level) || (ty.level = generic_level) then begin
decr idx;
Hashtbl.add graph !idx (ty, ref pty);
if (ty.level = generic_level) || (ty == ty0) then
roots := ty :: !roots;
ty.level <- !idx;
iter_type_expr (inverse [ty]) ty
end else if ty.level < lowest_level then begin
let (_, parents) = Hashtbl.find graph ty.level in
parents := pty @ !parents
end
and generalize_parents ty =
let idx = ty.level in
if idx <> generic_level then begin
ty.level <- generic_level;
List.iter generalize_parents !(snd (Hashtbl.find graph idx))
end
in
inverse [] ty;
if ty0.level < lowest_level then
iter_type_expr (inverse []) ty0;
List.iter generalize_parents !roots;
Hashtbl.iter
(fun _ (ty, _) ->
if ty.level <> generic_level then
ty.level <- !current_level)
graph
(*******************)
(* Instantiation *)
(*******************)
let rec find_repr p1 =
function
Mnil ->
None
| Mcons (p2, ty, _, _) when Path.same p1 p2 ->
Some ty
| Mcons (_, _, _, rem) ->
find_repr p1 rem
| Mlink {contents = rem} ->
find_repr p1 rem
(*
Generic nodes are duplicated, while non-generic nodes are left
as-is.
During instantiation, the description of a generic node is first
replaced by a link to a stub ([Tsubst (newvar ())]). Once the
copy is made, it replaces the stub.
After instantiation, the description of generic node, which was
stored by [save_desc], must be put back, using [cleanup_types].
*)
let abbreviations = ref (ref Mnil)
(* Abbreviation memorized. *)
let rec copy ty =
let ty = repr ty in
match ty.desc with
Tsubst ty -> ty
| _ ->
if ty.level <> generic_level then ty else
let desc = ty.desc in
save_desc ty desc;
let t = newvar() in (* Stub *)
ty.desc <- Tsubst t;
t.desc <-
begin match desc with
| Tconstr (p, tl, _) ->
begin match find_repr p !(!abbreviations) with
Some ty when repr ty != t -> (* XXX Commentaire... *)
Tlink ty
| _ ->
(*
One must allocate a new reference, so that abbrevia-
tions belonging to different branches of a type are
independent.
Moreover, a reference containing a [Mcons] must be
shared, so that the memorized expansion of an abbrevi-
ation can be released by changing the content of just
one reference.
*)
Tconstr (p, List.map copy tl,
ref (match !(!abbreviations) with
Mcons _ -> Mlink !abbreviations
| abbrev -> abbrev))
end
| Tvariant row0 ->
let row = row_repr row0 in
let more = repr row.row_more in
(* We must substitute in a subtle way *)
begin match more.desc with
Tsubst ty2 ->
(* This variant type has been already copied *)
ty.desc <- Tsubst ty2; (* avoid Tlink in the new type *)
Tlink ty2
| _ ->
(* If the row variable is not generic, we must keep it *)
let keep = more.level <> generic_level in
(* Register new type first for recursion *)
save_desc more more.desc;
more.desc <- ty.desc;
(* Return a new copy *)
let more' = if keep then more else newvar () in
Tvariant (copy_row copy row keep more')
end
| _ -> copy_type_desc copy desc
end;
t
(**** Variants of instantiations ****)
let instance sch =
let ty = copy sch in
cleanup_types ();
ty
let instance_list schl =
let tyl = List.map copy schl in
cleanup_types ();
tyl
let instance_constructor cstr =
let ty_res = copy cstr.cstr_res in
let ty_args = List.map copy cstr.cstr_args in
cleanup_types ();
(ty_args, ty_res)
let instance_label lbl =
let ty_res = copy lbl.lbl_res in
let ty_arg = copy lbl.lbl_arg in
cleanup_types ();
(ty_arg, ty_res)
let instance_parameterized_type sch_args sch =
let ty_args = List.map copy sch_args in
let ty = copy sch in
cleanup_types ();
(ty_args, ty)
let instance_parameterized_type_2 sch_args sch_lst sch =
let ty_args = List.map copy sch_args in
let ty_lst = List.map copy sch_lst in
let ty = copy sch in
cleanup_types ();
(ty_args, ty_lst, ty)
let instance_class params cty =
let rec copy_class_type =
function
Tcty_constr (path, tyl, cty) ->
Tcty_constr (path, List.map copy tyl, copy_class_type cty)
| Tcty_signature sign ->
Tcty_signature
{cty_self = copy sign.cty_self;
cty_vars =
Vars.map (function (mut, ty) -> (mut, copy ty)) sign.cty_vars;
cty_concr = sign.cty_concr}
| Tcty_fun (l, ty, cty) ->
Tcty_fun (l, copy ty, copy_class_type cty)
in
let params' = List.map copy params in
let cty' = copy_class_type cty in
cleanup_types ();
(params', cty')
(**** Instantiation with parameter substitution ****)
let unify' = (* Forward declaration *)
ref (fun env ty1 ty2 -> raise (Unify []))
let rec subst env level abbrev ty params args body =
let old_level = !current_level in
current_level := level;
try
let body0 = newvar () in (* Stub *)
begin match ty with
None -> ()
| Some ({desc = Tconstr (path, _, _)} as ty) ->
memorize_abbrev abbrev path ty body0
| _ ->
assert false
end;
abbreviations := abbrev;
let (params', body') = instance_parameterized_type params body in
abbreviations := ref Mnil;
!unify' env body0 body';
List.iter2 (!unify' env) params' args;
current_level := old_level;
body'
with Unify _ as exn ->
current_level := old_level;
raise exn
(*
Only the shape of the type matters, not whether is is generic or
not. [generic_level] might be somewhat slower, but it ensures
invariants on types are enforced (decreasing levels.), and we don't
care about efficiency here.
*)
let apply env params body args =
try
subst env generic_level (ref Mnil) None params args body
with
Unify _ -> raise Cannot_apply
(****************************)
(* Abbreviation expansion *)
(****************************)
(* Search whether the expansion has been memorized. *)
let rec find_expans p1 =
function
Mnil ->
None
| Mcons (p2, ty0, ty, _) when Path.same p1 p2 ->
(* assert
begin match (repr ty).desc with
Tconstr (p3, _, _) when Path.same p2 p3-> false
| _ -> true
end;
assert (repr ty0 != repr ty); *)
Some ty
| Mcons (_, _, _, rem) ->
find_expans p1 rem
| Mlink {contents = rem} ->
find_expans p1 rem
let previous_env = ref Env.empty
(* Expand an abbreviation. The expansion is memorized. *)
(*
Assume the level is greater than the path binding time of the
expanded abbreviation.
*)
(*
An abbreviation expansion will fail in either of these cases:
1. The type constructor does not correspond to a manifest type.
2. The type constructor is defined in an external file, and this
file is not in the path (missing -I options).
3. The type constructor is not in the "local" environment. This can
happens when a non-generic type variable has been instantiated
afterwards to the not yet defined type constructor. (Actually,
this cannot happen at the moment due to the strong constraints
between type levels and constructor binding time.)
4. The expansion requires the expansion of another abbreviation,
and this other expansion fails.
*)
let expand_abbrev env ty =
(*
If the environnement has changed, memorized expansions might not
be correct anymore, and so we flush the cache. This is safe but
quite pessimistic: it would be enough to flush the cache when a
type or module definition is overriden in the environnement.
*)
if env != !previous_env then begin
cleanup_abbrev ();
previous_env := env
end;
match ty with
{desc = Tconstr (path, args, abbrev); level = level} ->
begin match find_expans path !abbrev with
Some ty ->
if level <> generic_level then
begin try
update_level env level ty
with Unify _ ->
(* XXX This should not happen.
However, levels are not correctly restored after a
typing error *)
()
end;
ty
| None ->
let (params, body) =
try Env.find_type_expansion path env with Not_found ->
raise Cannot_expand
in
let ty' = subst env level abbrev (Some ty) params args body in
(* Hack to name the variant type *)
begin match repr ty' with
{desc=Tvariant row} as ty when static_row row ->
ty.desc <- Tvariant { row with row_name = Some (path, args) }
| _ -> ()
end;
ty'
end
| _ ->
assert false
(* Fully expand the head of a type. Raise an exception if the type
cannot be expanded. *)
let rec try_expand_head env ty =
let ty = repr ty in
match ty.desc with
Tconstr _ ->
let ty' = expand_abbrev env ty in
begin try
try_expand_head env ty'
with Cannot_expand ->
repr ty'
end
| _ ->
raise Cannot_expand
let _ = try_expand_head' := try_expand_head
(* Fully expand the head of a type. *)
let rec expand_head env ty =
try try_expand_head env ty with Cannot_expand -> repr ty
(* Make sure that the type parameters of the type constructor [ty]
respect the type constraints *)
let enforce_constraints env ty =
match ty with
{desc = Tconstr (path, args, abbrev); level = level} ->
let decl = Env.find_type path env in
ignore
(subst env level (ref Mnil) None decl.type_params args (newvar2 level))
| _ ->
assert false
(* Recursively expand the head of a type.
Also expand #-types. *)
let rec full_expand env ty =
let ty = repr (expand_head env ty) in
match ty.desc with
Tobject (fi, {contents = Some (_, v::_)}) when (repr v).desc = Tvar ->
newty2 ty.level (Tobject (fi, ref None))
| _ ->
ty
(*
Check whether the abbreviation expands to a well-defined type.
During the typing of a class, abbreviations for correspondings
types expand to non-generic types.
*)
let generic_abbrev env path =
try
let (_, body) = Env.find_type_expansion path env in
(repr body).level = generic_level
with
Not_found ->
false
(*****************)
(* Occur check *)
(*****************)
exception Occur
(* The marks are already used by [expand_abbrev]... *)
let visited = ref []
let rec non_recursive_abbrev env ty0 ty =
let ty = repr ty in
if ty == repr ty0 then raise Recursive_abbrev;
if not (List.memq ty !visited) then begin
let level = ty.level in
visited := ty :: !visited;
match ty.desc with
Tconstr(p, args, abbrev) ->
begin try
non_recursive_abbrev env ty0 (try_expand_head env ty)
with Cannot_expand ->
if !Clflags.recursive_types then () else
iter_type_expr (non_recursive_abbrev env ty0) ty
end
| Tobject _ | Tvariant _ ->
()
| _ ->
if !Clflags.recursive_types then () else
iter_type_expr (non_recursive_abbrev env ty0) ty
end
let correct_abbrev env ident params ty =
let ty0 = newgenvar () in
visited := [];
non_recursive_abbrev env ty0
(subst env generic_level
(ref (Mcons (Path.Pident ident, ty0, ty0, Mnil))) None
[] [] ty);
visited := []
let rec occur_rec env visited ty0 ty =
if ty == ty0 then raise Occur;
match ty.desc with
Tconstr(p, tl, abbrev) ->
begin try
if List.memq ty visited then raise Occur;
iter_type_expr (occur_rec env (ty::visited) ty0) ty
with Occur -> try
let ty' = try_expand_head env ty in
(* Maybe we could simply make a recursive call here,
but it seems it could make the occur check loop
(see change in rev. 1.58) *)
if ty' == ty0 || List.memq ty' visited then raise Occur;
match ty'.desc with
Tobject _ | Tvariant _ -> ()
| _ -> iter_type_expr (occur_rec env (ty'::visited) ty0) ty'
with Cannot_expand ->
raise Occur
end
| Tobject _ | Tvariant _ ->
()
| _ ->
iter_type_expr (occur_rec env visited ty0) ty
let occur env ty0 ty =
if not !Clflags.recursive_types then
try occur_rec env [] ty0 ty with Occur -> raise (Unify [])
(*****************)
(* Unification *)
(*****************)
let rec has_cached_expansion p abbrev =
match abbrev with
Mnil -> false
| Mcons(p', _, _, rem) -> Path.same p p' || has_cached_expansion p rem
| Mlink rem -> has_cached_expansion p !rem
(**** Transform error trace ****)
(* +++ Move it to some other place ? *)
let expand_trace env trace =
List.fold_right
(fun (t1, t2) rem ->
(repr t1, full_expand env t1)::(repr t2, full_expand env t2)::rem)
trace []
(**** Unification ****)
(* Return whether [t0] occurs in [ty]. Objects are also traversed. *)
let deep_occur t0 ty =
let rec occur_rec ty =
let ty = repr ty in
if ty.level >= lowest_level then begin
if ty == t0 then raise Occur;
ty.level <- pivot_level - ty.level;
iter_type_expr occur_rec ty
end
in
try
occur_rec ty; unmark_type ty; false
with Occur ->
unmark_type ty; true
(*
1. When unifying two non-abbreviated types, one type is made a link
to the other. When unifying an abbreviated type with a
non-abbreviated type, the non-abbreviated type is made a link to
the other one. When unifying to abbreviated types, these two
types are kept distincts, but they are made to (temporally)
expand to the same type.
2. Abbreviations with at least one parameter are systematically
expanded. The overhead does not seem to high, and that way
abbreviations where some parameters does not appear in the
expansion, such as ['a t = int], are correctly handled. In
particular, for this example, unifying ['a t] with ['b t] keeps
['a] and ['b] distincts. (Is it really important ?)
3. Unifying an abbreviation ['a t = 'a] with ['a] should not yield
['a t as 'a]. Indeed, the type variable would otherwise be lost.
This problem occurs for abbreviations expanding to a type
variable, but also to many other constrained abbreviations (for
instance, [(< x : 'a > -> unit) t = <x : 'a>]). The solution is
that, if an abbreviation is unified with some subpart of its
parameters, then the parameter actually does not get
abbreviated. It would be possible to check whether some
information is indeed lost, but it probably does not worth it.
*)
let rec unify env t1 t2 =
(* First step: special cases (optimizations) *)
if t1 == t2 then () else
let t1 = repr t1 in
let t2 = repr t2 in
if t1 == t2 then () else
try
match (t1.desc, t2.desc) with
(Tvar, Tconstr _) when deep_occur t1 t2 ->
unify2 env t1 t2
| (Tconstr _, Tvar) when deep_occur t2 t1 ->
unify2 env t1 t2
| (Tvar, _) ->
occur env t1 t2;
update_level env t1.level t2;
t1.desc <- Tlink t2
| (_, Tvar) ->
occur env t2 t1;
update_level env t2.level t1;
t2.desc <- Tlink t1
| (Tconstr (p1, [], a1), Tconstr (p2, [], a2))
when Path.same p1 p2
(* This optimization assumes that t1 does not expand to t2
(and conversely), so we fall back to the general case
when any of the types has a cached expansion. *)
&& not (has_cached_expansion p1 !a1
|| has_cached_expansion p2 !a2) ->
update_level env t1.level t2;
t1.desc <- Tlink t2
| _ ->
unify2 env t1 t2
with Unify trace ->
raise (Unify ((t1, t2)::trace))
and unify2 env t1 t2 =
(* Second step: expansion of abbreviations *)
let t1' = expand_head env t1 in
let t2' = expand_head env t2 in
(* Expansion may have changed the representative of the types... *)
let t1' = expand_head env t1' in
let t2' = expand_head env t2' in
if t1' == t2' then () else
let t1 = repr t1 and t2 = repr t2 in
if (t1 == t1') || (t2 != t2') then
unify3 env t1 t1' t2 t2'
else
try unify3 env t2 t2' t1 t1' with Unify trace ->
raise (Unify (List.map (fun (x, y) -> (y, x)) trace))
and unify3 env t1 t1' t2 t2' =
(* Third step: truly unification *)
(* Assumes either [t1 == t1'] or [t2 != t2'] *)
let d1 = t1'.desc and d2 = t2'.desc in
let create_recursion = (t2 != t2') && (deep_occur t1' t2) in
occur env t1' t2;
update_level env t1'.level t2;
t1'.desc <- Tlink t2;
try
begin match (d1, d2) with
(Tvar, _) ->
()
| (_, Tvar) ->
occur env t2' (newty d1);
if t1 == t1' then begin
(* The variable must be instantiated... *)
let ty = newty2 t1'.level d1 in
update_level env t2'.level ty;
t2'.desc <- Tlink ty
end else begin
t1'.desc <- d1;
update_level env t2'.level t1;
t2'.desc <- Tlink t1
end
| (Tarrow (l1, t1, u1, c1), Tarrow (l2, t2, u2, c2)) when l1 = l2
|| !Clflags.classic && not (is_optional l1 || is_optional l2) ->
unify env t1 t2; unify env u1 u2;
begin match commu_repr c1, commu_repr c2 with
Clink r, c2 -> r := c2
| c1, Clink r -> r := c1
| _ -> ()
end
| (Ttuple tl1, Ttuple tl2) ->
unify_list env tl1 tl2
| (Tconstr (p1, tl1, _), Tconstr (p2, tl2, _)) when Path.same p1 p2 ->
unify_list env tl1 tl2
| (Tobject (fi1, nm1), Tobject (fi2, _)) ->
unify_fields env fi1 fi2;
(* Type [t2'] may have been instantiated by [unify_fields] *)
(* XXX One should do some kind of unification... *)
begin match (repr t2').desc with
Tobject (_, {contents = Some (_, va::_)})
when (repr va).desc = Tvar ->
()
| Tobject (_, nm2) ->
nm2 := !nm1
| _ ->
()
end
| (Tvariant row1, Tvariant row2) ->
unify_row env row1 row2
| (Tfield _, Tfield _) -> (* Actually unused *)
unify_fields env t1' t2'
| (Tnil, Tnil) ->
()
| (_, _) ->
raise (Unify [])
end;
(* XXX Commentaires + changer "create_recursion" *)
if create_recursion then begin
match t2.desc with
Tconstr (p, tl, abbrev) ->
forget_abbrev abbrev p;
let t2'' = expand_head env t2 in
if not (closed_parameterized_type tl t2'') then
(repr t2).desc <- Tlink (repr t2')
| _ ->
assert false
end
(*
(*
Can only be done afterwards, once the row variable has
(possibly) been instantiated.
*)
if t1 != t1' (* && t2 != t2' *) then begin
match (t1.desc, t2.desc) with
(Tconstr (p, ty::_, _), _)
when ((repr ty).desc <> Tvar)
&& weak_abbrev p
&& not (deep_occur t1 t2) ->
update_level env t1.level t2;
t1.desc <- Tlink t2
| (_, Tconstr (p, ty::_, _))
when ((repr ty).desc <> Tvar)
&& weak_abbrev p
&& not (deep_occur t2 t1) ->
update_level env t2.level t1;
t2.desc <- Tlink t1;
t1'.desc <- Tlink t2'
| _ ->
()
end
*)
with Unify trace ->
t1'.desc <- d1;
raise (Unify trace)
and unify_list env tl1 tl2 =
if List.length tl1 <> List.length tl2 then
raise (Unify []);
List.iter2 (unify env) tl1 tl2
and unify_fields env ty1 ty2 = (* Optimization *)
let (fields1, rest1) = flatten_fields ty1
and (fields2, rest2) = flatten_fields ty2 in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
let va = newvar () in
unify env (build_fields (repr ty1).level miss1 va) rest2;
unify env rest1 (build_fields (repr ty2).level miss2 va);
List.iter
(fun (n, k1, t1, k2, t2) ->
unify_kind k1 k2;
try unify env t1 t2 with Unify trace ->
raise (Unify ((newty (Tfield(n, k1, t1, va)),
newty (Tfield(n, k2, t2, va)))::trace)))
pairs
and unify_kind k1 k2 =
let k1 = field_kind_repr k1 in
let k2 = field_kind_repr k2 in
match k1, k2 with
(Fvar r, (Fvar _ | Fpresent)) -> r := Some k2
| (Fpresent, Fvar r) -> r := Some k1
| (Fpresent, Fpresent) -> ()
| _ -> assert false
and unify_row env row1 row2 =
let row1 = row_repr row1 and row2 = row_repr row2 in
let rm1 = row_more row1 and rm2 = row_more row2 in
if rm1 == rm2 then () else
let r1, r2, pairs = merge_row_fields row1.row_fields row2.row_fields in
ignore (List.fold_left
(fun hl l ->
let h = hash_variant l in
try raise(Tags(l,List.assoc h hl))
with Not_found -> (h,l)::hl)
(List.map (fun (l,_) -> (hash_variant l, l)) row1.row_fields)
(List.map fst r2));
let more = newty2 (min rm1.level rm2.level) Tvar
and closed = row1.row_closed || row2.row_closed in
let keep switch =
List.for_all
(fun (_,f1,f2) ->
let f1, f2 = switch f1 f2 in
row_field_repr f1 = Rabsent || row_field_repr f2 <> Rabsent)
pairs
in
let empty fields =
List.for_all (fun (_,f) -> row_field_repr f = Rabsent) fields in
if (row1.row_closed || row2.row_closed)
&& (empty r1 || row2.row_closed) && (empty r2 || row1.row_closed)
&& List.for_all
(fun (_,f1,f2) ->
row_field_repr f1 = Rabsent || row_field_repr f2 = Rabsent)
pairs
then raise (Unify []);
let name =
if row1.row_name <> None && (row1.row_closed || empty r2) &&
(not row2.row_closed || keep (fun f1 f2 -> f1, f2) && empty r1)
then row1.row_name
else if row2.row_name <> None && (row2.row_closed || empty r1) &&
(not row1.row_closed || keep (fun f1 f2 -> f2, f1) && empty r2)
then row2.row_name
else None
in
let bound = row1.row_bound @ row2.row_bound in
let row0 = {row_fields = []; row_more = more; row_bound = bound;
row_closed = closed; row_name = name} in
let more row rest =
let rest =
if closed then
filter_row_fields row.row_closed rest
else rest in
if rest <> [] && row.row_closed then raise (Unify []);
let ty =
newty2 generic_level (Tvariant {row0 with row_fields = rest}) in
update_level env (repr row.row_more).level ty;
ty
in
let md1 = rm1.desc and md2 = rm2.desc in
begin try
rm1.desc <- Tlink (more row1 r2);
rm2.desc <- Tlink (more row2 r1);
List.iter (fun (l,f1,f2) -> unify_row_field env f1 f2) pairs
with exn ->
rm1.desc <- md1; rm2.desc <- md2; raise exn
end
and unify_row_field env f1 f2 =
let f1 = row_field_repr f1 and f2 = row_field_repr f2 in
if f1 == f2 then () else
match f1, f2 with
Rpresent(Some t1), Rpresent(Some t2) -> unify env t1 t2
| Rpresent None, Rpresent None -> ()
| Reither(c1, tl1, m1, e1), Reither(c2, tl2, m2, e2) ->
if e1 == e2 then () else
if m1 || m2 then begin
match tl1 @ tl2 with [] -> ()
| t1 :: tl ->
if c1 || c2 then raise (Unify []);
List.iter (unify env t1) tl
end;
let tl1 = List.map repr tl1 and tl2 = List.map repr tl2 in
let rec remq tl = function [] -> []
| ty :: tl' ->
if List.memq ty tl then remq tl tl' else ty :: remq tl tl'
in
let tl2' = remq tl2 tl1 and tl1' = remq tl1 tl2 in
let e = ref None in
let f1 = Reither(c1 || c2, tl1', m1 || m2, e)
and f2 = Reither(c1 || c2, tl2', m1 || m2, e) in
e1 := Some f1; e2 := Some f2
| Reither(false, tl, _, e1), Rpresent(Some t2) ->
e1 := Some f2;
(try List.iter (fun t1 -> unify env t1 t2) tl
with exn -> e1 := None; raise exn)
| Rpresent(Some t1), Reither(false, tl, _, e2) ->
e2 := Some f1;
(try List.iter (unify env t1) tl
with exn -> e2 := None; raise exn)
| Reither(true, [], _, e1), Rpresent None -> e1 := Some f2
| Rpresent None, Reither(true, [], _, e2) -> e2 := Some f1
| Reither(_, _, false, e1), Rabsent -> e1 := Some f2
| Rabsent, Reither(_, _, false, e2) -> e2 := Some f1
| Rabsent, Rabsent -> ()
| _ -> raise (Unify [])
let unify env ty1 ty2 =
try
unify env ty1 ty2
with Unify trace ->
raise (Unify (expand_trace env trace))
let _ = unify' := unify
(**** Special cases of unification ****)
(*
Unify [t] and [l:'a -> 'b]. Return ['a] and ['b].
In label mode, label mismatch is accepted when
(1) the requested label is ""
(2) the original label is not optional
*)
let rec filter_arrow env t l =
let t = expand_head env t in
match t.desc with
Tvar ->
let t1 = newvar () and t2 = newvar () in
let t' = newty (Tarrow (l, t1, t2, Cok)) in
update_level env t.level t';
t.desc <- Tlink t';
(t1, t2)
| Tarrow(l', t1, t2, _)
when l = l' || !Clflags.classic && l = "" && not (is_optional l') ->
(t1, t2)
| _ ->
raise (Unify [])
(* Used by [filter_method]. *)
let rec filter_method_field env name priv ty =
let ty = repr ty in
match ty.desc with
Tvar ->
let level = ty.level in
let ty1 = newvar2 level and ty2 = newvar2 level in
let ty' = newty2 level (Tfield (name,
begin match priv with
Private -> Fvar (ref None)
| Public -> Fpresent
end,
ty1, ty2))
in
ty.desc <- Tlink ty';
ty1
| Tfield(n, kind, ty1, ty2) ->
let kind = field_kind_repr kind in
if (n = name) && (kind <> Fabsent) then begin
if priv = Public then
unify_kind kind Fpresent;
ty1
end else
filter_method_field env name priv ty2
| _ ->
raise (Unify [])
(* Unify [ty] and [< name : 'a; .. >]. Return ['a]. *)
let rec filter_method env name priv ty =
let ty = expand_head env ty in
match ty.desc with
Tvar ->
let ty1 = newvar () in
let ty' = newobj ty1 in
update_level env ty.level ty';
ty.desc <- Tlink ty';
filter_method_field env name priv ty1
| Tobject(f, _) ->
filter_method_field env name priv f
| _ ->
raise (Unify [])
let check_filter_method env name priv ty =
ignore(filter_method env name priv ty)
let filter_self_method env lab priv meths ty =
let ty' = filter_method env lab priv ty in
try
Meths.find lab !meths
with Not_found ->
let pair = (Ident.create lab, ty') in
meths := Meths.add lab pair !meths;
pair
(***********************************)
(* Matching between type schemes *)
(***********************************)
(*
Update the level of [ty]. First check that the levels of generic
variables from the subject are not lowered.
*)
let moregen_occur env level ty =
let rec occur ty =
let ty = repr ty in
if ty.level > level then begin
if ty.desc = Tvar && ty.level >= generic_level - 1 then raise Occur;
ty.level <- pivot_level - ty.level;
match ty.desc with
Tvariant row when static_row row ->
iter_row occur row
| _ ->
iter_type_expr occur ty
end
in
begin try
occur ty; unmark_type ty
with Occur ->
unmark_type ty; raise (Unify [])
end;
update_level env level ty
let rec moregen inst_nongen type_pairs env t1 t2 =
if t1 == t2 then () else
let t1 = repr t1 in
let t2 = repr t2 in
if t1 == t2 then () else
try
match (t1.desc, t2.desc) with
(Tvar, _) when if inst_nongen then t1.level <> generic_level - 1
else t1.level = generic_level ->
moregen_occur env t1.level t2;
occur env t1 t2;
t1.desc <- Tlink t2
| (Tconstr (p1, [], _), Tconstr (p2, [], _)) when Path.same p1 p2 ->
()
| _ ->
let t1' = expand_head env t1 in
let t2' = expand_head env t2 in
(* Expansion may have changed the representative of the types... *)
let t1' = repr t1' and t2' = repr t2' in
if t1' == t2' then () else
begin try
TypePairs.find type_pairs (t1', t2')
with Not_found ->
TypePairs.add type_pairs (t1', t2') ();
match (t1'.desc, t2'.desc) with
(Tvar, _) when if inst_nongen then t1'.level <> generic_level - 1
else t1'.level = generic_level ->
moregen_occur env t1'.level t2;
t1'.desc <- Tlink t2
| (Tarrow (l1, t1, u1, _), Tarrow (l2, t2, u2, _)) when l1 = l2
|| !Clflags.classic && not (is_optional l1 || is_optional l2) ->
moregen inst_nongen type_pairs env t1 t2;
moregen inst_nongen type_pairs env u1 u2
| (Ttuple tl1, Ttuple tl2) ->
moregen_list inst_nongen type_pairs env tl1 tl2
| (Tconstr (p1, tl1, _), Tconstr (p2, tl2, _))
when Path.same p1 p2 ->
moregen_list inst_nongen type_pairs env tl1 tl2
| (Tvariant row1, Tvariant row2) ->
moregen_row inst_nongen type_pairs env row1 row2
| (Tobject (fi1, nm1), Tobject (fi2, nm2)) ->
moregen_fields inst_nongen type_pairs env fi1 fi2
| (Tfield _, Tfield _) -> (* Actually unused *)
moregen_fields inst_nongen type_pairs env t1' t2'
| (Tfield (_, kind, _, t1''), _)
when field_kind_repr kind = Fabsent ->
moregen inst_nongen type_pairs env t1'' t2'
| (_, Tfield (_, kind, _, t2''))
when field_kind_repr kind = Fabsent ->
moregen inst_nongen type_pairs env t1' t2''
| (Tnil, Tnil) ->
()
| (_, _) ->
raise (Unify [])
end
with Unify trace ->
raise (Unify ((t1, t2)::trace))
and moregen_list inst_nongen type_pairs env tl1 tl2 =
if List.length tl1 <> List.length tl2 then
raise (Unify []);
List.iter2 (moregen inst_nongen type_pairs env) tl1 tl2
and moregen_fields inst_nongen type_pairs env ty1 ty2 =
let (fields1, rest1) = flatten_fields ty1
and (fields2, rest2) = flatten_fields ty2 in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
if miss1 <> [] then raise (Unify []);
moregen inst_nongen type_pairs env rest1
(build_fields (repr ty2).level miss2 rest2);
List.iter
(fun (n, k1, t1, k2, t2) ->
moregen_kind k1 k2;
try moregen inst_nongen type_pairs env t1 t2 with Unify trace ->
raise (Unify ((newty (Tfield(n, k1, t1, rest2)),
newty (Tfield(n, k2, t2, rest2)))::trace)))
pairs
and moregen_kind k1 k2 =
let k1 = field_kind_repr k1 in
let k2 = field_kind_repr k2 in
match k1, k2 with
(Fvar r, (Fvar _ | Fpresent)) -> r := Some k2
| (Fpresent, Fpresent) -> ()
| _ -> raise (Unify [])
and moregen_row inst_nongen type_pairs env row1 row2 =
let row1 = row_repr row1 and row2 = row_repr row2 in
let r1, r2, pairs = merge_row_fields row1.row_fields row2.row_fields in
let r1, r2 =
if row2.row_closed then
filter_row_fields true r1, filter_row_fields false r2
else r1, r2
in
if r1 <> [] || row1.row_closed && (not row2.row_closed || r2 <> [])
then raise (Unify []);
let rm1 = repr row1.row_more and rm2 = repr row2.row_more in
let ext =
if not (static_row row2) then moregen_occur env rm1.level rm2;
if r2 = [] then rm2 else
let ty = newty2 generic_level (Tvariant{row2 with row_fields = r2}) in
moregen_occur env rm1.level ty;
ty
in
if ext != rm1 then rm1.desc <- Tlink ext;
List.iter
(fun (l,f1,f2) ->
let f1 = row_field_repr f1 and f2 = row_field_repr f2 in
if f1 == f2 then () else
match f1, f2 with
Rpresent(Some t1), Rpresent(Some t2) ->
moregen inst_nongen type_pairs env t1 t2
| Rpresent None, Rpresent None -> ()
| Reither(false, tl1, _, e1), Rpresent(Some t2) ->
e1 := Some f2;
List.iter (fun t1 -> moregen inst_nongen type_pairs env t1 t2) tl1
| Reither(c1, tl1, _, e1), Reither(c2, tl2, m2, e2) ->
if c1 && not c2 then raise(Unify []);
e1 := Some (Reither (c2, [], m2, e2));
if List.length tl1 = List.length tl2 then
List.iter2 (moregen inst_nongen type_pairs env) tl1 tl2
else begin match tl2 with
t2 :: _ ->
List.iter (fun t1 -> moregen inst_nongen type_pairs env t1 t2)
tl1
| [] ->
if tl1 <> [] then raise (Unify [])
end
| Reither(true, [], _, e1), Rpresent None -> e1 := Some f2
| Reither(_, _, _, e1), Rabsent -> e1 := Some f2
| Rabsent, Rabsent -> ()
| _ -> raise (Unify []))
pairs
(*
Non-generic variable can be instanciated only if [inst_nongen] is
true. So, [inst_nongen] should be set to false if the subject might
contain non-generic variables (and we do not want them to be
instanciated).
Usually, the subject is given by the user, and the pattern
is unimportant. So, no need to propagate abbreviations.
*)
let moregeneral env inst_nongen pat_sch subj_sch =
let old_level = !current_level in
current_level := generic_level - 1;
(*
Generic variables are first duplicated with [instance]. So,
their levels are lowered to [generic_level - 1]. The subject is
then copied with [duplicate_type]. That way, its levels won't be
changed.
*)
let subj = duplicate_type (instance subj_sch) in
current_level := generic_level;
(* Duplicate generic variables *)
let patt = instance pat_sch in
let res =
try moregen inst_nongen (TypePairs.create 13) env patt subj; true with
Unify _ -> false
in
current_level := old_level;
res
(*********************************************)
(* Equivalence between parameterized types *)
(*********************************************)
let rec eqtype rename type_pairs subst env t1 t2 =
if t1 == t2 then () else
let t1 = repr t1 in
let t2 = repr t2 in
if t1 == t2 then () else
try
match (t1.desc, t2.desc) with
(Tvar, Tvar) when rename ->
begin try
if List.assq t1 !subst != t2 then raise (Unify [])
with Not_found ->
subst := (t1, t2) :: !subst
end
| (Tconstr (p1, [], _), Tconstr (p2, [], _)) when Path.same p1 p2 ->
()
| _ ->
let t1' = expand_head env t1 in
let t2' = expand_head env t2 in
(* Expansion may have changed the representative of the types... *)
let t1' = repr t1' and t2' = repr t2' in
if t1' == t2' then () else
begin try
TypePairs.find type_pairs (t1', t2')
with Not_found ->
TypePairs.add type_pairs (t1', t2') ();
match (t1'.desc, t2'.desc) with
(Tvar, Tvar) when rename ->
begin try
if List.assq t1' !subst != t2' then raise (Unify [])
with Not_found ->
subst := (t1', t2') :: !subst
end
| (Tarrow (l1, t1, u1, _), Tarrow (l2, t2, u2, _)) when l1 = l2
|| !Clflags.classic && not (is_optional l1 || is_optional l2) ->
eqtype rename type_pairs subst env t1 t2;
eqtype rename type_pairs subst env u1 u2;
| (Ttuple tl1, Ttuple tl2) ->
eqtype_list rename type_pairs subst env tl1 tl2
| (Tconstr (p1, tl1, _), Tconstr (p2, tl2, _))
when Path.same p1 p2 ->
eqtype_list rename type_pairs subst env tl1 tl2
| (Tvariant row1, Tvariant row2) ->
eqtype_row rename type_pairs subst env row1 row2
| (Tobject (fi1, nm1), Tobject (fi2, nm2)) ->
eqtype_fields rename type_pairs subst env fi1 fi2
| (Tfield _, Tfield _) -> (* Actually unused *)
eqtype_fields rename type_pairs subst env t1' t2'
| (Tfield (_, kind, _, t1''), _)
when field_kind_repr kind = Fabsent ->
eqtype rename type_pairs subst env t1'' t2'
| (_, Tfield (_, kind, _, t2''))
when field_kind_repr kind = Fabsent ->
eqtype rename type_pairs subst env t1' t2''
| (Tnil, Tnil) ->
()
| (_, _) ->
raise (Unify [])
end
with Unify trace ->
raise (Unify ((t1, t2)::trace))
and eqtype_list rename type_pairs subst env tl1 tl2 =
if List.length tl1 <> List.length tl2 then
raise (Unify []);
List.iter2 (eqtype rename type_pairs subst env) tl1 tl2
and eqtype_fields rename type_pairs subst env ty1 ty2 =
let (fields1, rest1) = flatten_fields ty1
and (fields2, rest2) = flatten_fields ty2 in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
eqtype rename type_pairs subst env rest1 rest2;
if (miss1 <> []) || (miss2 <> []) then raise (Unify []);
List.iter
(function (n, k1, t1, k2, t2) ->
eqtype_kind k1 k2;
try eqtype rename type_pairs subst env t1 t2 with Unify trace ->
raise (Unify ((newty (Tfield(n, k1, t1, rest2)),
newty (Tfield(n, k2, t2, rest2)))::trace)))
pairs
and eqtype_kind k1 k2 =
let k1 = field_kind_repr k1 in
let k2 = field_kind_repr k2 in
match k1, k2 with
(Fvar _, Fvar _)
| (Fpresent, Fpresent) -> ()
| _ -> raise (Unify [])
and eqtype_row rename type_pairs subst env row1 row2 =
let row1 = row_repr row1 and row2 = row_repr row2 in
let r1, r2, pairs = merge_row_fields row1.row_fields row2.row_fields in
if row1.row_closed <> row2.row_closed
|| not row1.row_closed && (r1 <> [] || r2 <> [])
|| filter_row_fields false (r1 @ r2) <> []
then raise (Unify []);
if not (static_row row1) then
eqtype rename type_pairs subst env row1.row_more row2.row_more;
List.iter
(fun (_,f1,f2) ->
match row_field_repr f1, row_field_repr f2 with
Rpresent(Some t1), Rpresent(Some t2) ->
eqtype rename type_pairs subst env t1 t2
| Reither(true, [], _, _), Reither(true, [], _, _) ->
()
| Reither(false, t1::tl1, _, _), Reither(false, t2::tl2, _, _) ->
eqtype rename type_pairs subst env t1 t2;
if List.length tl1 = List.length tl2 then
(* if same length allow different types (meaning?) *)
List.iter2 (eqtype rename type_pairs subst env) tl1 tl2
else begin
(* otherwise everything must be equal *)
List.iter (eqtype rename type_pairs subst env t1) tl2;
List.iter (fun t1 -> eqtype rename type_pairs subst env t1 t2) tl1
end
| Rpresent None, Rpresent None -> ()
| Rabsent, Rabsent -> ()
| _ -> raise (Unify []))
pairs
(* Two modes: with or without renaming of variables *)
let equal env rename tyl1 tyl2 =
try
eqtype_list rename (TypePairs.create 11) (ref []) env tyl1 tyl2; true
with
Unify _ -> false
(*************************)
(* Class type matching *)
(*************************)
type class_match_failure =
CM_Virtual_class
| CM_Parameter_arity_mismatch of int * int
| CM_Type_parameter_mismatch of (type_expr * type_expr) list
| CM_Class_type_mismatch of class_type * class_type
| CM_Parameter_mismatch of (type_expr * type_expr) list
| CM_Val_type_mismatch of string * (type_expr * type_expr) list
| CM_Meth_type_mismatch of string * (type_expr * type_expr) list
| CM_Non_mutable_value of string
| CM_Missing_value of string
| CM_Missing_method of string
| CM_Hide_public of string
| CM_Hide_virtual of string
| CM_Public_method of string
| CM_Private_method of string
| CM_Virtual_method of string
exception Failure of class_match_failure list
let rec moregen_clty trace type_pairs env cty1 cty2 =
try
match cty1, cty2 with
Tcty_constr (_, _, cty1), _ ->
moregen_clty true type_pairs env cty1 cty2
| _, Tcty_constr (_, _, cty2) ->
moregen_clty true type_pairs env cty1 cty2
| Tcty_fun (l1, ty1, cty1'), Tcty_fun (l2, ty2, cty2') when l1 = l2 ->
begin try moregen true type_pairs env ty1 ty2 with Unify trace ->
raise (Failure [CM_Parameter_mismatch (expand_trace env trace)])
end;
moregen_clty false type_pairs env cty1' cty2'
| Tcty_signature sign1, Tcty_signature sign2 ->
let ty1 = object_fields (repr sign1.cty_self) in
let ty2 = object_fields (repr sign2.cty_self) in
let (fields1, rest1) = flatten_fields ty1
and (fields2, rest2) = flatten_fields ty2 in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
List.iter
(fun (lab, k1, t1, k2, t2) ->
begin try moregen true type_pairs env t1 t2 with Unify trace ->
raise (Failure [CM_Meth_type_mismatch
(lab, expand_trace env trace)])
end)
pairs;
Vars.iter
(fun lab (mut, ty) ->
let (mut', ty') = Vars.find lab sign1.cty_vars in
try moregen true type_pairs env ty' ty with Unify trace ->
raise (Failure [CM_Val_type_mismatch
(lab, expand_trace env trace)]))
sign2.cty_vars
| _ ->
raise (Failure [])
with
Failure error when trace ->
raise (Failure (CM_Class_type_mismatch (cty1, cty2)::error))
let match_class_types env pat_sch subj_sch =
let type_pairs = TypePairs.create 53 in
let old_level = !current_level in
current_level := generic_level - 1;
(*
Generic variables are first duplicated with [instance]. So,
their levels are lowered to [generic_level - 1]. The subject is
then copied with [duplicate_type]. That way, its levels won't be
changed.
*)
let (_, subj_inst) = instance_class [] subj_sch in
let subj = duplicate_class_type subj_inst in
current_level := generic_level;
(* Duplicate generic variables *)
let (_, patt) = instance_class [] pat_sch in
let res =
let sign1 = signature_of_class_type patt in
let sign2 = signature_of_class_type subj in
let t1 = repr sign1.cty_self in
let t2 = repr sign2.cty_self in
TypePairs.add type_pairs (t1, t2) ();
let (fields1, rest1) = flatten_fields (object_fields t1)
and (fields2, rest2) = flatten_fields (object_fields t2) in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
let error =
List.fold_right
(fun (lab, k, _) err ->
let err =
let k = field_kind_repr k in
begin match k with
Fvar r -> r := Some Fabsent; err
| _ -> CM_Hide_public lab::err
end
in
if Concr.mem lab sign1.cty_concr then err
else CM_Hide_virtual lab::err)
miss1 []
in
let missing_method = List.map (fun (m, _, _) -> m) miss2 in
let error =
(List.map (fun m -> CM_Missing_method m) missing_method) @ error
in
(* Always succeeds *)
moregen true type_pairs env rest1 rest2;
let error =
List.fold_right
(fun (lab, k1, t1, k2, t2) err ->
try moregen_kind k1 k2; err with
Unify _ -> CM_Public_method lab::err)
pairs error
in
let error =
Vars.fold
(fun lab (mut, ty) err ->
try
let (mut', ty') = Vars.find lab sign1.cty_vars in
if mut = Mutable && mut' <> Mutable then
CM_Non_mutable_value lab::err
else
err
with Not_found ->
CM_Missing_value lab::err)
sign2.cty_vars error
in
let error =
List.fold_right
(fun e l ->
if List.mem e missing_method then l else CM_Virtual_method e::l)
(Concr.elements (Concr.diff sign2.cty_concr sign1.cty_concr))
error
in
match error with
[] ->
begin try
moregen_clty true type_pairs env patt subj;
[]
with
Failure r -> r
end
| error ->
CM_Class_type_mismatch (patt, subj)::error
in
current_level := old_level;
res
let rec equal_clty trace type_pairs subst env cty1 cty2 =
try
match cty1, cty2 with
Tcty_constr (_, _, cty1), Tcty_constr (_, _, cty2) ->
equal_clty true type_pairs subst env cty1 cty2
| Tcty_constr (_, _, cty1), _ ->
equal_clty true type_pairs subst env cty1 cty2
| _, Tcty_constr (_, _, cty2) ->
equal_clty true type_pairs subst env cty1 cty2
| Tcty_fun (l1, ty1, cty1'), Tcty_fun (l2, ty2, cty2') when l1 = l2 ->
begin try eqtype true type_pairs subst env ty1 ty2 with Unify trace ->
raise (Failure [CM_Parameter_mismatch (expand_trace env trace)])
end;
equal_clty false type_pairs subst env cty1' cty2'
| Tcty_signature sign1, Tcty_signature sign2 ->
let ty1 = object_fields (repr sign1.cty_self) in
let ty2 = object_fields (repr sign2.cty_self) in
let (fields1, rest1) = flatten_fields ty1
and (fields2, rest2) = flatten_fields ty2 in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
List.iter
(fun (lab, k1, t1, k2, t2) ->
begin try eqtype true type_pairs subst env t1 t2 with
Unify trace ->
raise (Failure [CM_Meth_type_mismatch
(lab, expand_trace env trace)])
end)
pairs;
Vars.iter
(fun lab (mut, ty) ->
let (mut', ty') = Vars.find lab sign1.cty_vars in
try eqtype true type_pairs subst env ty ty' with Unify trace ->
raise (Failure [CM_Val_type_mismatch
(lab, expand_trace env trace)]))
sign2.cty_vars
| _ ->
raise
(Failure (if trace then []
else [CM_Class_type_mismatch (cty1, cty2)]))
with
Failure error when trace ->
raise (Failure (CM_Class_type_mismatch (cty1, cty2)::error))
(* XXX On pourrait autoriser l'instantiation du type des parametres... *)
(* XXX Correct ? (variables de type dans parametres et corps de classe *)
let match_class_declarations env patt_params patt_type subj_params subj_type =
let type_pairs = TypePairs.create 53 in
let subst = ref [] in
let sign1 = signature_of_class_type patt_type in
let sign2 = signature_of_class_type subj_type in
let t1 = repr sign1.cty_self in
let t2 = repr sign2.cty_self in
TypePairs.add type_pairs (t1, t2) ();
let (fields1, rest1) = flatten_fields (object_fields t1)
and (fields2, rest2) = flatten_fields (object_fields t2) in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
let error =
List.fold_right
(fun (lab, k, _) err ->
let err =
let k = field_kind_repr k in
begin match k with
Fvar r -> err
| _ -> CM_Hide_public lab::err
end
in
if Concr.mem lab sign1.cty_concr then err
else CM_Hide_virtual lab::err)
miss1 []
in
let missing_method = List.map (fun (m, _, _) -> m) miss2 in
let error =
(List.map (fun m -> CM_Missing_method m) missing_method) @ error
in
(* Always succeeds *)
eqtype true type_pairs subst env rest1 rest2;
let error =
List.fold_right
(fun (lab, k1, t1, k2, t2) err ->
let k1 = field_kind_repr k1 in
let k2 = field_kind_repr k2 in
match k1, k2 with
(Fvar _, Fvar _)
| (Fpresent, Fpresent) -> err
| (Fvar _, Fpresent) -> CM_Private_method lab::err
| (Fpresent, Fvar _) -> CM_Public_method lab::err
| _ -> assert false)
pairs error
in
let error =
Vars.fold
(fun lab (mut, ty) err ->
try
let (mut', ty') = Vars.find lab sign1.cty_vars in
if mut = Mutable && mut' <> Mutable then
CM_Non_mutable_value lab::err
else
err
with Not_found ->
CM_Missing_value lab::err)
sign2.cty_vars error
in
let error =
List.fold_right
(fun e l ->
if List.mem e missing_method then l else CM_Virtual_method e::l)
(Concr.elements (Concr.diff sign2.cty_concr sign1.cty_concr))
error
in
match error with
[] ->
begin try
let lp = List.length patt_params in
let ls = List.length subj_params in
if lp <> ls then
raise (Failure [CM_Parameter_arity_mismatch (lp, ls)]);
List.iter2 (fun p s ->
try eqtype true type_pairs subst env p s with Unify trace ->
raise (Failure [CM_Type_parameter_mismatch
(expand_trace env trace)]))
patt_params subj_params;
equal_clty false type_pairs subst env patt_type subj_type;
[]
with
Failure r -> r
end
| error ->
error
(***************)
(* Subtyping *)
(***************)
(**** Build a subtype of a given type. ****)
let rec filter_firsts pred = function
[] -> []
| a :: r as l -> if pred a then l else filter_firsts pred r
(* build_subtype:
[visited] traces traversed object and variant types
[loops] is a mapping from variables to variables, to reproduce
positive loops in a class type
[posi] true if the current variance is positive
[onlyloop] does not open types, only build loops
true on the left side of an arrow, for efficiency reasons *)
let rec build_subtype env visited loops posi onlyloop t =
let t = repr t in
let loops =
if onlyloop then filter_firsts (fun (ty, _) -> deep_occur ty t) loops
else loops
in
if onlyloop && loops = [] then (t, false) else
match t.desc with
Tvar ->
if posi then
try
(List.assq t loops, true)
with Not_found ->
(t, false)
else
(t, false)
| Tarrow(l, t1, t2, _) ->
if List.memq t visited then (t, false) else
let visited = t :: visited in
let (t1', c1) = build_subtype env visited loops (not posi) true t1 in
(* let (t1', c1) = (t1, false) in *)
let (t2', c2) = build_subtype env visited loops posi onlyloop t2 in
if c1 || c2 then (newty (Tarrow(l, t1', t2', Cok)), true)
else (t, false)
| Ttuple tlist ->
if List.memq t visited then (t, false) else
let visited = t :: visited in
let tlist' =
List.map (build_subtype env visited loops posi onlyloop) tlist
in
if List.exists snd tlist' then
(newty (Ttuple (List.map fst tlist')), true)
else (t, false)
| Tconstr(p, tl, abbrev) when not onlyloop && generic_abbrev env p ->
let t' = repr (expand_abbrev env t) in
begin try match t'.desc with
Tobject _ when posi ->
if List.memq t' visited then (t, false) else
let rec lid_of_path sharp = function
Path.Pident id ->
Longident.Lident (sharp ^ Ident.name id)
| Path.Pdot (p1, s, _) ->
Longident.Ldot (lid_of_path "" p1, sharp ^ s)
| Path.Papply (p1, p2) ->
Longident.Lapply (lid_of_path sharp p1, lid_of_path "" p2)
in
let path, cl_abbr = Env.lookup_type (lid_of_path "#" p) env in
let body =
match cl_abbr.type_manifest with Some ty -> ty
| None -> assert false in
let ty =
subst env t'.level abbrev None cl_abbr.type_params tl body in
let ty = repr ty in
let ty1 =
match ty.desc with
Tobject(ty1,{contents=Some(p',_)}) when Path.same p p' -> ty1
| _ -> raise Not_found
in
ty.desc <- Tvar;
let t'' = newvar () in
let visited = t' :: visited and loops = (ty, t'') :: loops in
let (ty1', _) = build_subtype env visited loops posi onlyloop ty1 in
assert (t''.desc = Tvar);
t''.desc <- Tobject (ty1', ref None);
(try unify env ty t with Unify _ -> assert false);
(t'', true)
| _ -> raise Not_found
with Not_found -> build_subtype env visited loops posi onlyloop t'
end
| Tconstr(p, tl, abbrev) ->
begin try
let decl = Env.find_type p env in
let tl' =
List.map2
(fun (co,cn) t ->
if cn then
if co then (t, false)
else build_subtype env visited loops (not posi) onlyloop t
else
if co then build_subtype env visited loops posi onlyloop t
else (newvar(), true))
decl.type_variance tl
in
if List.exists snd tl' then
(newconstr p (List.map fst tl'), true)
else
(t, false)
with Not_found ->
(t, false)
end
| Tvariant row ->
if List.memq t visited then (t, false) else
let visited = t :: visited in
let row = row_repr row in
if not (static_row row) then (t, false) else
let bound = ref row.row_bound in
let fields =
List.map
(fun (l,f as orig) -> match row_field_repr f with
Rpresent None ->
if posi then
(l, Reither(true, [], false, ref None)), false
else
orig, false
| Rpresent(Some t) ->
let (t', c) =
build_subtype env visited loops posi onlyloop t in
if posi && not onlyloop then begin
bound := t' :: !bound;
(l, Reither(false, [t'], false, ref None)), c
end else
(l, Rpresent(Some t')), c
| _ -> assert false)
(filter_row_fields false row.row_fields)
in
if posi && fields = [] then (t, false) else
let row =
if posi then
{row_fields = List.map fst fields; row_more = newvar();
row_bound = !bound; row_closed = true;
row_name = if List.exists snd fields then None else row.row_name }
else
{row_fields = List.map fst fields; row_more = newvar ();
row_bound = !bound; row_closed = false; row_name = None}
in
(newty (Tvariant row), true)
| Tobject (t1, _) when opened_object t1 ->
(t, false)
| Tobject (t1, _) ->
if List.memq t visited then (t, false) else
let (t1', _) =
build_subtype env (t :: visited) loops posi onlyloop t1 in
(newty (Tobject (t1', ref None)), true)
| Tfield(s, _, t1, t2) (* Always present *) ->
let (t1', c1) = build_subtype env visited loops posi onlyloop t1 in
let (t2', c2) = build_subtype env visited loops posi onlyloop t2 in
if c1 || c2 then
(newty (Tfield(s, Fpresent, t1', t2')), true)
else
(t, false)
| Tnil ->
if posi && not onlyloop then
let v = newvar () in
(v, true)
else
(t, false)
| Tsubst _ | Tlink _ ->
assert false
let enlarge_type env ty =
let (ty', _) = build_subtype env [] [] true false ty in
ty'
(**** Check whether a type is a subtype of another type. ****)
(*
During the traversal, a trace of visited types is maintained. It
is printed in case of error.
Constraints (pairs of types that must be equals) are accumulated
rather than being enforced straight. Indeed, the result would
otherwise depend on the order in which these constraints are
enforced.
A function enforcing these constraints is returned. That way, type
variables can be bound to their actual values before this function
is called (see Typecore).
Only well-defined abbreviations are expanded (hence the tests
[generic_abbrev ...]).
*)
let subtypes = TypePairs.create 17
let subtype_error env trace =
raise (Subtype (expand_trace env (List.rev trace), []))
let rec subtype_rec env trace t1 t2 cstrs =
let t1 = repr t1 in
let t2 = repr t2 in
if t1 == t2 then [] else
begin try
TypePairs.find subtypes (t1, t2);
cstrs
with Not_found ->
TypePairs.add subtypes (t1, t2) ();
match (t1.desc, t2.desc) with
(Tvar, _) | (_, Tvar) ->
(trace, t1, t2)::cstrs
| (Tarrow(l1, t1, u1, _), Tarrow(l2, t2, u2, _)) when l1 = l2
|| !Clflags.classic && not (is_optional l1 || is_optional l2) ->
let cstrs = subtype_rec env ((t2, t1)::trace) t2 t1 cstrs in
subtype_rec env ((u1, u2)::trace) u1 u2 cstrs
| (Ttuple tl1, Ttuple tl2) ->
subtype_list env trace tl1 tl2 cstrs
| (Tconstr(p1, [], _), Tconstr(p2, [], _)) when Path.same p1 p2 ->
cstrs
| (Tconstr(p1, tl1, abbrev1), _) when generic_abbrev env p1 ->
subtype_rec env trace (expand_abbrev env t1) t2 cstrs
| (_, Tconstr(p2, tl2, abbrev2)) when generic_abbrev env p2 ->
subtype_rec env trace t1 (expand_abbrev env t2) cstrs
| (Tconstr(p1, tl1, _), Tconstr(p2, tl2, _)) when Path.same p1 p2 ->
begin try
let decl = Env.find_type p1 env in
List.fold_left2
(fun cstrs (co, cn) (t1, t2) ->
if co then
if cn then
(trace, newty2 t1.level (Ttuple[t1]),
newty2 t2.level (Ttuple[t2])) :: cstrs
else subtype_rec env ((t1, t2)::trace) t1 t2 cstrs
else
if cn then subtype_rec env ((t2, t1)::trace) t2 t1 cstrs
else cstrs)
cstrs decl.type_variance (List.combine tl1 tl2)
with Not_found ->
(trace, t1, t2)::cstrs
end
| (Tobject (f1, _), Tobject (f2, _))
when opened_object f1 && opened_object f2 ->
(* Same row variable implies same object. *)
(trace, t1, t2)::cstrs
| (Tobject (f1, _), Tobject (f2, _)) ->
subtype_fields env trace f1 f2 cstrs
| (Tvariant row1, Tvariant row2) ->
let row1 = row_repr row1 and row2 = row_repr row2 in
begin try
if not row1.row_closed then raise Exit;
let r1, r2, pairs =
merge_row_fields row1.row_fields row2.row_fields in
if filter_row_fields false r1 <> [] then raise Exit;
List.fold_left
(fun cstrs (_,f1,f2) ->
match row_field_repr f1, row_field_repr f2 with
(Rpresent None|Reither(true,_,_,_)), Rpresent None ->
cstrs
| Rpresent(Some t1), Rpresent(Some t2) ->
subtype_rec env ((t1, t2)::trace) t1 t2 cstrs
| Reither(false, t1::_, _, _), Rpresent(Some t2) ->
subtype_rec env ((t1, t2)::trace) t1 t2 cstrs
| Rabsent, _ -> cstrs
| _ -> raise Exit)
cstrs pairs
with Exit ->
(trace, t1, t2)::cstrs
end
| (_, _) ->
(trace, t1, t2)::cstrs
end
and subtype_list env trace tl1 tl2 cstrs =
if List.length tl1 <> List.length tl2 then
subtype_error env trace;
List.fold_left2
(fun cstrs t1 t2 -> subtype_rec env ((t1, t2)::trace) t1 t2 cstrs)
cstrs tl1 tl2
and subtype_fields env trace ty1 ty2 cstrs =
let (fields1, rest1) = flatten_fields ty1 in
let (fields2, rest2) = flatten_fields ty2 in
let (pairs, miss1, miss2) = associate_fields fields1 fields2 in
[(trace, rest1, build_fields (repr ty2).level miss2 (newvar ()))]
@
begin match rest2.desc with
Tnil -> []
| _ -> [(trace, build_fields (repr ty1).level miss1 rest1, rest2)]
end
@
(List.fold_left
(fun cstrs (_, k1, t1, k2, t2) ->
(* Theses fields are always present *)
subtype_rec env ((t1, t2)::trace) t1 t2 cstrs)
cstrs pairs)
let subtype env ty1 ty2 =
TypePairs.clear subtypes;
(* Build constraint set. *)
let cstrs = subtype_rec env [(ty1, ty2)] ty1 ty2 [] in
TypePairs.clear subtypes;
(* Enforce constraints. *)
function () ->
List.iter
(function (trace0, t1, t2) ->
try unify env t1 t2 with Unify trace ->
raise (Subtype (expand_trace env (List.rev trace0),
List.tl (List.tl trace))))
(List.rev cstrs)
(*******************)
(* Miscellaneous *)
(*******************)
let unalias ty =
let ty = repr ty in
match ty.desc with
Tvar ->
ty
| Tvariant row ->
let row = row_repr row in
let more = row.row_more in
newty2 ty.level
(Tvariant {row with row_more = newty2 more.level more.desc})
| _ ->
newty2 ty.level ty.desc
let unroll_abbrev id tl ty =
let ty = repr ty in
if (ty.desc = Tvar) || (List.exists (deep_occur ty) tl) then
ty
else
let ty' = newty2 ty.level ty.desc in
ty.desc <- Tlink (newty2 ty.level
(Tconstr (Path.Pident id, tl, ref Mnil)));
ty'
(* Return the arity (as for curried functions) of the given type. *)
let rec arity ty =
match (repr ty).desc with
Tarrow(_, t1, t2, _) -> 1 + arity t2
| _ -> 0
(* Check whether an abbreviation expands to itself. *)
let rec cyclic_abbrev env id ty =
let ty = repr ty in
match ty.desc with
Tconstr (Path.Pident id', _, _) when Ident.same id id' ->
true
| Tconstr (p, tl, abbrev) ->
begin try
cyclic_abbrev env id (try_expand_head env ty)
with Cannot_expand ->
false
end
| _ ->
false
(* Normalize a type before printing, saving... *)
let rec normalize_type_rec env ty =
let ty = repr ty in
if ty.level >= lowest_level then begin
mark_type_node ty;
begin match ty.desc with
| Tvariant row ->
let row = row_repr row in
let fields = List.map
(fun (l,f) ->
let f = row_field_repr f in l,
match f with Reither(b, ty::(_::_ as tyl), m, e) ->
let tyl' =
List.fold_left
(fun tyl ty ->
if List.exists (fun ty' -> equal env false [ty] [ty']) tyl
then tyl else ty::tyl)
[ty] tyl
in
if List.length tyl' < List.length tyl + 1 then
let f = Reither(b, List.rev tyl', m, ref None) in
e := Some f;
f
else f
| _ -> f)
row.row_fields
and bound = List.fold_left
(fun tyl ty -> if List.memq ty tyl then tyl else ty :: tyl)
[] (List.map repr row.row_bound)
in ty.desc <- Tvariant {row with row_fields = fields; row_bound = bound}
| Tobject (_, nm) ->
begin match !nm with
| None -> ()
| Some (n, v :: l) ->
let v' = repr v in
begin match v'.desc with
| Tvar -> if v' != v then nm := Some (n, v' :: l)
| Tnil -> ty.desc <- Tconstr (n, l, ref Mnil)
| _ -> nm := None
end
| _ ->
fatal_error "Ctype.normalize_type_rec"
end
| _ -> ()
end;
iter_type_expr (normalize_type_rec env) ty
end
let normalize_type env ty =
normalize_type_rec env ty;
unmark_type ty
(*************************)
(* Remove dependencies *)
(*************************)
(*
Variables are left unchanged. Other type nodes are duplicated, with
levels set to generic level.
During copying, the description of a (non-variable) node is first
replaced by a link to a stub ([Tsubst (newgenvar ())]).
Once the copy is made, it replaces the stub.
After copying, the description of node, which was stored by
[save_desc], must be put back, using [cleanup_types].
*)
let rec nondep_type_rec env id ty =
let ty = repr ty in
match ty.desc with
Tvar -> ty
| Tsubst ty -> ty
| _ ->
let desc = ty.desc in
save_desc ty desc;
let ty' = newgenvar () in (* Stub *)
ty.desc <- Tsubst ty';
ty'.desc <-
begin match desc with
| Tconstr(p, tl, abbrev) ->
if Path.isfree id p then
begin try
Tlink (nondep_type_rec env id
(expand_abbrev env (newty2 ty.level desc)))
(*
The [Tlink] is important. The expanded type may be a
variable, or may not be completely copied yet
(recursive type), so one cannot just take its
description.
*)
with Cannot_expand ->
raise Not_found
end
else
Tconstr(p, List.map (nondep_type_rec env id) tl, ref Mnil)
| Tobject (t1, name) ->
Tobject (nondep_type_rec env id t1,
ref (match !name with
None -> None
| Some (p, tl) ->
if Path.isfree id p then None
else Some (p, List.map (nondep_type_rec env id) tl)))
| Tvariant row ->
let row = row_repr row in
let more = repr row.row_more in
(* We must substitute in a subtle way *)
begin match more.desc with
Tsubst ty2 ->
(* This variant type has been already copied *)
ty.desc <- Tsubst ty2; (* avoid Tlink in the new type *)
Tlink ty2
| _ ->
let static = static_row row in
(* Register new type first for recursion *)
save_desc more more.desc;
more.desc <- ty.desc;
let more' = if static then newgenvar () else more in
(* Return a new copy *)
let row = copy_row (nondep_type_rec env id) row true more' in
match row.row_name with
Some (p, tl) when Path.isfree id p ->
Tvariant {row with row_name = None}
| _ -> Tvariant row
end
| _ -> copy_type_desc (nondep_type_rec env id) desc
end;
ty'
let nondep_type env id ty =
try
let ty' = nondep_type_rec env id ty in
cleanup_types ();
unmark_type ty';
ty'
with Not_found ->
cleanup_types ();
raise Not_found
(* Preserve sharing inside type declarations. *)
let nondep_type_decl env mid id is_covariant decl =
try
let params = List.map (nondep_type_rec env mid) decl.type_params in
let decl =
{ type_params = params;
type_arity = decl.type_arity;
type_kind =
begin try
match decl.type_kind with
Type_abstract ->
Type_abstract
| Type_variant cstrs ->
Type_variant(List.map
(fun (c, tl) -> (c, List.map (nondep_type_rec env mid) tl))
cstrs)
| Type_record(lbls, rep) ->
Type_record(
List.map
(fun (c, mut, t) -> (c, mut, nondep_type_rec env mid t))
lbls,
rep)
with Not_found when is_covariant ->
Type_abstract
end;
type_manifest =
begin try
match decl.type_manifest with
None -> None
| Some ty ->
Some (unroll_abbrev id params (nondep_type_rec env mid ty))
with Not_found when is_covariant ->
None
end;
type_variance = decl.type_variance;
}
in
cleanup_types ();
List.iter unmark_type decl.type_params;
begin match decl.type_kind with
Type_abstract -> ()
| Type_variant cstrs ->
List.iter (fun (c, tl) -> List.iter unmark_type tl) cstrs
| Type_record(lbls, rep) ->
List.iter (fun (c, mut, t) -> unmark_type t) lbls
end;
begin match decl.type_manifest with
None -> ()
| Some ty -> unmark_type ty
end;
decl
with Not_found ->
cleanup_types ();
raise Not_found
(* Preserve sharing inside class types. *)
let nondep_class_signature env id sign =
{ cty_self = nondep_type_rec env id sign.cty_self;
cty_vars =
Vars.map (function (m, t) -> (m, nondep_type_rec env id t))
sign.cty_vars;
cty_concr = sign.cty_concr }
let rec nondep_class_type env id =
function
Tcty_constr (p, _, cty) when Path.isfree id p ->
nondep_class_type env id cty
| Tcty_constr (p, tyl, cty) ->
Tcty_constr (p, List.map (nondep_type_rec env id) tyl,
nondep_class_type env id cty)
| Tcty_signature sign ->
Tcty_signature (nondep_class_signature env id sign)
| Tcty_fun (l, ty, cty) ->
Tcty_fun (l, nondep_type_rec env id ty, nondep_class_type env id cty)
let nondep_class_declaration env id decl =
assert (not (Path.isfree id decl.cty_path));
let decl =
{ cty_params = List.map (nondep_type_rec env id) decl.cty_params;
cty_type = nondep_class_type env id decl.cty_type;
cty_path = decl.cty_path;
cty_new =
begin match decl.cty_new with
None -> None
| Some ty -> Some (nondep_type_rec env id ty)
end }
in
cleanup_types ();
List.iter unmark_type decl.cty_params;
unmark_class_type decl.cty_type;
begin match decl.cty_new with
None -> ()
| Some ty -> unmark_type ty
end;
decl
let nondep_cltype_declaration env id decl =
assert (not (Path.isfree id decl.clty_path));
let decl =
{ clty_params = List.map (nondep_type_rec env id) decl.clty_params;
clty_type = nondep_class_type env id decl.clty_type;
clty_path = decl.clty_path }
in
cleanup_types ();
List.iter unmark_type decl.clty_params;
unmark_class_type decl.clty_type;
decl