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w_Infer.ml
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w_Infer.ml
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(*
Copyright © 2011 MLstate
This file is part of OPA.
OPA is free software: you can redistribute it and/or modify it under the
terms of the GNU Affero General Public License, version 3, as published by
the Free Software Foundation.
OPA is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU Affero General Public License for
more details.
You should have received a copy of the GNU Affero General Public License
along with OPA. If not, see <http://www.gnu.org/licenses/>.
*)
(*
@author Fran�ois Pessaux
*)
(* ************************************************************************** *)
(** {b Descr}: Infers the type of a constant expression and returns this
type. *)
(* ************************************************************************** *)
let infer_constant_type = function
| QmlAst.Int _ -> W_CoreTypes.type_int ()
| QmlAst.Float _ -> W_CoreTypes.type_float ()
| QmlAst.String _ -> W_CoreTypes.type_string ()
(* ************************************************************************** *)
(** {b Descr}: Add an information of type scheme creation (corresponds to a
generalization point) to the annotation map.
ATTENTION: Explicit instantiation pass requires to have such information
**only** if the scheme really has variables, i.e. **not** if it is a
trivial type scheme.
{b Visibility}: Not exported outside this module. *)
(* ************************************************************************** *)
let annotmap_add_scheme_creation key scheme annotmap =
(* Ensure that there exists variables before adding the information in the
annotations maps. Otherwise, leave the annotations map untouched. *)
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "annotmap_add_scheme_creation on key %s@]@."
(Annot.to_string key)
#<End> ;
let (quantif, _, _) = QmlGenericScheme.export_unsafe scheme in
if QmlTypeVars.FreeVars.is_empty quantif then (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "annotmap_add_scheme_creation: trivial scheme: no addition.@." ;
#<End> ;
annotmap
)
else (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "annotmap_add_scheme_creation: non-trivial scheme: addition.@." ;
#<End> ;
QmlAnnotMap.add_tsc key scheme annotmap
)
(* ************************************************************************** *)
(** {b Descr}: Add an information of type scheme deconstruction (corresponds to
an instantiation --specialization-- point) to the annotation map.
ATTENTION: Explicit instantiation pass requires to have such information
**only** if the scheme really has variables, i.e. **not** if it is a
trivial type scheme.
{b Visibility}: Not exported outside this module. *)
(* ************************************************************************** *)
let annotmap_add_scheme_elimination key scheme annotmap =
(* Ensure that there exists variables before adding the information in the
annotations maps. Otherwise, leave the annotations map untouched. *)
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "annotmap_add_scheme_elimination on key %s@]@."
(Annot.to_string key)
#<End> ;
let (quantif, _, _) = QmlGenericScheme.export_unsafe scheme in
if QmlTypeVars.FreeVars.is_empty quantif then (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "annotmap_add_scheme_elimination: trivial scheme: no addition.@." ;
#<End> ;
annotmap
)
else (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "annotmap_add_scheme_elimination: non-trivial scheme: addition.@." ;
#<End> ;
QmlAnnotMap.add_tsc_inst key scheme annotmap
)
(* ************************************************************************** *)
(** {b Descr}: Function used to factorize the final processing of inference for
an expression, processing that is always done. This function has 2 jobs:
1 - If the type inferred for the expression is a type-forall, it
automatically instantiates it, hence removing the "forall". Otherwise,
it leaves the type unchanged.
If an automatic instantiation has been done, then the annotation map
is updated by adding the information that a type scheme was instantiated
at the point of the current expression.
2 - It always enrich the annotations map by setting inside the inferred type
for the current expression.
Finally, it returns the type of the expression, automatically instantiated
if needed, and the annotations map updated. Such a return value is suitable
to be the return value of the main function [infer_expr_type].
{b Visibility}: Not exported outside this module. *)
(* ************************************************************************** *)
let perform_infer_expr_type_postlude expr annotmap infered_ty =
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "perform_infer_expr_type_postlude start@." ;
#<End> ;
(* We still must automatically instantiate the type if it is a type forall. *)
let (final_ty, was_instantiated) =
W_SchemeGenAndInst.automatically_instantiate_if_forall infered_ty in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf
"perform_infer_expr_type_postlude: forall auto inst: %b@."
(was_instantiated <> None) ;
#<End> ;
(* If the type was a type forall, then it was implicitly instantiated, and in
this case we must extend the annotation map with a "scheme has been
instantiated" information. *)
let annotmap' =
(match was_instantiated with
| None -> annotmap
| Some sch ->
let annotmap_scheme =
W_PublicExport.type_scheme_to_annotmap_type_scheme sch in
annotmap_add_scheme_elimination
(QmlAst.QAnnot.expr expr) annotmap_scheme annotmap) in
(* In any case, we must extend the annotation map with a "expression has type"
information. *)
let annotmap'' =
QmlAnnotMap.add_ty (QmlAst.QAnnot.expr expr) final_ty annotmap' in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "perform_infer_expr_type_postlude stop@." ;
OManager.printf "On key %s, registered type: %a@."
(Annot.to_string (QmlAst.QAnnot.expr expr))
W_PrintTypes.pp_simple_type final_ty ;
#<End> ;
(* Finally, return the possibly automatically instantiated type and the
updated annotation map. *)
(final_ty, annotmap'')
(* ************************************************************************** *)
(** {b Descr}: Descends on the expressions of bodies of recursive
let-definitions in order to update all the annotations in the map that
correspond to points of instantiation of the scheme of one of the
recursively bound identifiers.
In effect, while typechecking the bodies of definitions, we were still
working with temporary type schemes inserted in the environment to make
identifiers known before we finally have completely inferred their type.
So any registered information at this time was dealing with the temporary
type schemes. Once the schemes of the identifiers are finalized, some
variables inside may be instantiated, changed and so on, so we must
correct the schemes previously registered to mention their real form
instead of their temporary form.
{b Args}:
- [initial_annotmap] : The annotation map in which to correct the
informations of scheme instantiation of the recursively bound
identifiers (i.e. information registered at recursive calls points).
- [typing_env] : The typing environment in which recursively bound
identifiers (i.e. identifiers bound by the recursive let-definition(s))
must be present with their effective final type scheme. In other words,
this must be the final environment returned for the typechecking of a
let-rec.
{b Visibility}: Not exported outside this module. *)
(* ************************************************************************** *)
let update_recursive_calls_annotations typing_env initial_annotmap bindings =
(* First, record all the recursively bound identifiers. *)
let rec_bound_idents = List.map fst bindings in
(* The local walker that looks in for each expression's annotation key if in
the annotations map there is mention of a scheme instantiation information
related to a recursive call, and that returns the updated annotations map
if needed. *)
let walk annotmap e =
match e with
| QmlAst.Ident (_, id) when List.mem id rec_bound_idents ->
(* First remove old scheme instantiation information in case there was
some previously inserted. *)
let annotmap' =
QmlAnnotMap.remove_tsc_inst (QmlAst.QAnnot.expr e) annotmap in
(* Lookup should never fail since we are working with the final
environment in which recursively bound identifiers have been
finally inserted. *)
let (_, ident_annotmap_scheme) =
W_TypingEnv.get_ident_type_and_annotmap_scheme id typing_env in
(* Now add the correct scheme instantiation information to the
annotations map not anymore containing the old info. *)
annotmap_add_scheme_elimination
(QmlAst.QAnnot.expr e) ident_annotmap_scheme annotmap'
| _ -> annotmap
in
(* Just to have a function ignoring the name bound in the couple representing
a binding. *)
let func annotmap (_, e) = QmlAstWalk.Expr.fold walk annotmap e in
(* And now apply the walker. *)
List.fold_left func initial_annotmap bindings
(* ************************************************************************** *)
(** {b Descr}: Replaces column variables in a [simple_type] by fresh ones.
This possibly makes a copy of the type, but in any case preserve physical
identity of type and row variables and columns variables that are not
replaced (those bound by types forall).
This function is used to typecheck [Pat_as] in order to avoid in a
pattern aliased to have the alias having the type of the unifications of
all the patterns.
This function, being used on types built from patterns structures, assumes
the types it receives are not cyclic. Hence, it doesn't perform any cycle
check.
{b Visibility} : Not exported outside this module. *)
(* ************************************************************************** *)
let freshen_column_var initial_ty =
(* Association list recording the row vars already encountered and by which
fresh variables they are replaced. *)
let seen_row_vars = ref [] in
let rec freshen_in_simple_type ty =
let ty = W_CoreTypes.simple_type_repr ty in
match ty.W_Algebra.sty_desc with
| W_Algebra.SType_var _ -> ty
| W_Algebra.SType_arrow (args_tys, res_ty) ->
let args_tys' = List.map freshen_in_simple_type args_tys in
let res_ty' = freshen_in_simple_type res_ty in
{ W_Algebra.sty_desc = W_Algebra.SType_arrow (args_tys', res_ty') ;
W_Algebra.sty_link = None ;
W_Algebra.sty_mark = W_Algebra.TM_not_seen }
| W_Algebra.SType_named nst ->
let nst_args' =
List.map freshen_in_simple_type nst.W_Algebra.nst_args in
let nst_unwinded' =
(match nst.W_Algebra.nst_unwinded with
| None -> None
| Some t -> Some (freshen_in_simple_type t)) in
let nst' =
{ nst with
W_Algebra.nst_args = nst_args' ;
W_Algebra.nst_unwinded = nst_unwinded' } in
{ W_Algebra.sty_desc = W_Algebra.SType_named nst' ;
W_Algebra.sty_link = None ;
W_Algebra.sty_mark = W_Algebra.TM_not_seen }
| W_Algebra.SType_sum_of_records col_type ->
{ W_Algebra.sty_desc =
W_Algebra.SType_sum_of_records (freshen_in_column_type col_type) ;
W_Algebra.sty_link = None ;
W_Algebra.sty_mark = W_Algebra.TM_not_seen }
| W_Algebra.SType_forall sch ->
(* To prevent refresh of quantified variables, we pre-map them onto
themselves. *)
seen_row_vars :=
List.fold_left
(fun accu v -> (v, v) :: accu)
!seen_row_vars
sch.W_Algebra.column_parameters ;
let body' = freshen_in_simple_type sch.W_Algebra.body in
let sch' = { sch with W_Algebra.body = body' } in
{ W_Algebra.sty_desc = W_Algebra.SType_forall sch' ;
W_Algebra.sty_link = None ;
W_Algebra.sty_mark = W_Algebra.TM_not_seen }
and freshen_in_column_type col_ty =
let (cases, col_ending) =
(W_CoreTypes.column_type_repr col_ty).W_Algebra.ct_value in
let cases' = List.map freshen_in_row_type cases in
let col_ending' =
(match col_ending with
| W_Algebra.Closed_column -> col_ending
| W_Algebra.Var_column v ->
let v' =
(try List.assq v !seen_row_vars
with Not_found ->
let new_var = W_CoreTypes.__column_variable () in
seen_row_vars := (v, new_var) :: !seen_row_vars ;
new_var) in
W_Algebra.Var_column v') in
{ W_Algebra.ct_value = (cases', col_ending') }
and freshen_in_row_type row_type =
let (fields, row_ending) =
(W_CoreTypes.row_type_repr row_type).W_Algebra.rt_value in
let fields' =
List.map (fun (n, t) -> (n, (freshen_in_simple_type t))) fields in
{ W_Algebra.rt_value = (fields', row_ending) } in
(* Effective body of the function [freshen_column_var]. *)
freshen_in_simple_type initial_ty
(* ************************************************************************** *)
(** {b Descr}: Function that typechecks a record pattern.
In any case, the inferred type is a record plugged in an *opened* column.
If the pattern is explicitly ended by a "..." then the row of the record
will be opened, otherwise it will be closed.
This function returns both the type inferred for the pattern (i.e. the
record type made of all the fields patterns) and the environment extension
induced by all the sub-patterns found in the fields specifications of the
whole pattern.
{b Visibility}: Not exported outside this module. *)
(* ************************************************************************** *)
let rec infer_record_pattern_type typing_env fields row_ending =
let (found_catchalls, reved_found_fields, env_extens, annotmap) =
(* Attention, folding left make fields processed in their apparition
order, however, this builds the list of type fields in reverse order.
We must reverse it after. *)
List.fold_left
(fun (accu_catchalls, accu_fields, accu_bindings, accu_annotmap)
(field_name, field_pat) ->
(* Infer the type of the sub-pattern. *)
let ((field_found_catchalls, field_pat_ty, field_env_extens),
field_annotmap) =
infer_pattern_type typing_env field_pat in
let accu_catchalls' = field_found_catchalls @ accu_catchalls in
let accu_fields' = (field_name, field_pat_ty) :: accu_fields in
let accu_bindings' = field_env_extens @ accu_bindings in
let accu_annotmap' = QmlAnnotMap.merge field_annotmap accu_annotmap in
(accu_catchalls', accu_fields', accu_bindings', accu_annotmap'))
([], [], [], QmlAnnotMap.empty)
fields in
let found_fields = List.rev reved_found_fields in
(* Process the row ending. *)
let row_is_opened =
(match row_ending with
| `closed -> false
| `open_ -> true) in
(* The synthesized type is plugged in a **opened** column.
The only difference is on the opening/closing of the row. *)
let ty = W_CoreTypes.type_of_record_pattern ~row_is_opened found_fields in
(* The annotmap modification to store the type of the pattern will be done
by the caller. At the present point, we don't deal with the pattern itself
but with its list of fields and its ending. So, we just return the
annotmap induced by processing the fields patterns. *)
((found_catchalls, ty, env_extens), annotmap)
(* ************************************************************************** *)
(** {b Descr}: Infers the type of a pattern, ignoring the right-side expression
related to this pattern. In particular, record-like patterns are inferred
as having ... a record type, i.e. possibly having a row-variable if the
pattern ends by an ellipsis, and plugged in a closed sum.
This function returns both the type inferred for the pattern and an
environment extension (to append in order to typecheck later the right-side
part of the related pattern) in which variables of the pattern are bound to
their types (that are sub-terms of the inferred type pattern).
This function returns as first component the list of types bound to
catchall patterns. This will be useful later, to close sum types except
those bound to parts of patters hosting a catchall case.
@raise W_InferErrors.Infer_detailed_unification_conflict
{b Visibility}: Not exported outside this module. *)
(* ************************************************************************** *)
and infer_pattern_type typing_env pattern =
match pattern with
| QmlAst.PatAny _ ->
(* Pattern is unconstrained, to has a type variable. Since no variable
is bound, we return an empty environment extension. *)
let pat_ty = W_CoreTypes.type_variable () in
let annotmap =
QmlAnnotMap.add_ty
(QmlAst.QAnnot.pat pattern) pat_ty QmlAnnotMap.empty in
(([pat_ty], pat_ty, []), annotmap)
| QmlAst.PatVar (_, var_name) ->
(* Pattern is unconstrained, to has a type variable. The name of the
pattern variable get bound to this type variable in the returned
environment extension. *)
let pat_ty = W_CoreTypes.type_variable () in
let pat_scheme = W_SchemeGenAndInst.trivial_scheme pat_ty in
let annotmap =
QmlAnnotMap.add_ty
(QmlAst.QAnnot.pat pattern) pat_ty QmlAnnotMap.empty in
(([pat_ty], pat_ty, [(var_name, pat_scheme)]), annotmap)
| QmlAst.PatAs (_, pat, ident) ->
(* Infer the aliased pattern's type. This is also the type of the whole
pattern. *)
let ((found_catchalls, pre_alias_ty, found_bindings),
alias_pat_annotmap) =
infer_pattern_type typing_env pat in
(* We now need to break the link between column variables in the inferred
type and the type scheme we insert in the environment for the alias.
In effect, that's a bit like if the alias was let-bound in the right
side part of the pattern.
To do so, we apply [freshen_column_var] on the type inferred for the
pattern. This has the effect of replacing column variables (except
those bound in types forall) by fresh ones. Because we do this at a
binding level increased, when we will generalize this type to bind
the alias in the environment, the fresh column variables will be in
fact generalized. *)
W_CoreTypes.begin_definition () ;
(* Replace column variables by fresh ones. *)
let alias_ty = freshen_column_var pre_alias_ty in
W_CoreTypes.end_definition () ;
(* And now generalize the type to bind to the alias in the typing
environment. *)
let alias_scheme =
W_SchemeGenAndInst.generalize ~forbid_non_gen_vars: false alias_ty in
(* Attention, *type* (and not scheme) of the pattern and type to put in
the annotation map must still be the inferred type and not the
modified type otherwise, the presence of generalized variables inside
will break unification through [lowerize_level_in_column]. *)
let annotmap =
QmlAnnotMap.add_ty
(QmlAst.QAnnot.pat pattern) pre_alias_ty alias_pat_annotmap in
let annotmap_alias_scheme =
W_PublicExport.type_scheme_to_annotmap_type_scheme alias_scheme in
let annotmap2 =
annotmap_add_scheme_creation
(QmlAst.QAnnot.pat pattern) annotmap_alias_scheme annotmap in
(* Now, record the binding of the sub-pattern to the identifier. *)
((found_catchalls, pre_alias_ty, (ident, alias_scheme) :: found_bindings),
annotmap2)
| QmlAst.PatConst (_, const_expr) ->
let ty = infer_constant_type const_expr in
let annotmap =
QmlAnnotMap.add_ty (QmlAst.QAnnot.pat pattern) ty QmlAnnotMap.empty in
(* Since no variable is bound, we return an empty environment
extension. *)
(([(* Not a catchall. *)], ty, []), annotmap)
| QmlAst.PatRecord (_, fields, row_ending) ->
let ((found_catchall, ty, found_bindings), annotmap) =
infer_record_pattern_type typing_env fields row_ending in
let annotmap' =
QmlAnnotMap.add_ty (QmlAst.QAnnot.pat pattern) ty annotmap in
((found_catchall, ty, found_bindings), annotmap')
| QmlAst.PatCoerce (_, pat, coercing_ty_expr) ->
(* First, typecheck the sub-pattern. *)
let ((found_catchalls, pat_ty, found_bindings), sub_pat_annotmap) =
infer_pattern_type typing_env pat in
(* Recover the QML purified type AST in which type names are "processed",
sum-sugar are flattened and various magic things are done. Without
doing this, warncoerce pass fails, it gets possible to redefine type
names with different bodies and confuse them because no stamp is
added.
This magic stuff is transparently done for type definitions by the guy
who handle ... type definitions.
For type coercions, this must be done by hand. So, do it ! *)
let coercing_ty_expr =
(try
fst
(QmlTypes.type_of_type
typing_env.W_TypingEnv.ty_env_qml_global coercing_ty_expr)
with QmlTyperException.Exception (_, error) ->
(* Just set a correct source position. *)
let err_loc =
QmlTyperException.loc_make
(`Pat_loc pattern) QmlTyperException.loc_set_empty in
(* Re-raise the exception, but with the more precise source
location. *)
raise (QmlTyperException.Exception (err_loc, error))) in
(* Get the type represented by the constraint, i.e. convert the type
expression into an internal typechecker type by following named types
definitions. *)
let coercing_ty =
(try
W_TypingEnv.qml_type_to_simple_type
typing_env coercing_ty_expr ~is_type_annotation: true
with W_TypingEnv.Importing_qml_abstract_ty ->
(* The type annotation contained "external" which is a non-sense. *)
let err_loc =
QmlTyperException.loc_make
(`Pat_loc pattern) QmlTyperException.loc_set_empty in
raise
(QmlTyperException.Exception
(err_loc,
QmlTyperException.InvalidType
(coercing_ty_expr, `abstract_in_ty_annotation)))) in
(* Force unification between the type inferred for the pattern and the
coercing type. *)
(try W_Unify.unify_simple_type typing_env pat_ty coercing_ty
with W_Unify.Unification_simple_type_conflict (err_t1, err_t2, detail) ->
raise
(W_InferErrors.Infer_detailled_unification_conflict
(W_InferErrors.UCC_pattern_coerce (pattern, pat_ty, coercing_ty),
err_t1, err_t2, detail))) ;
(* The finally retained type is the coercing one, not the one used to
ensure that the canonical representation of the constraint is
unifiable with the type inferred for the constrained pattern. *)
let annotmap =
QmlAnnotMap.add_ty
(QmlAst.QAnnot.pat pattern) coercing_ty sub_pat_annotmap in
((found_catchalls, coercing_ty, found_bindings), annotmap)
(* ************************************************************************** *)
(** {b Descr}: Infers the type of an expression, returns this type and
an annotation map recording type information related to the expression.
@raise Infer_detailled_unification_conflict
@raise QmlTyperException.Exception
{b Visibility}: Exported outside this module. *)
(* ************************************************************************** *)
let rec infer_expr_type ~bypass_typer typing_env original_expr =
match original_expr with
| QmlAst.Const (_, c) ->
let cst_ty = infer_constant_type c in
perform_infer_expr_type_postlude
original_expr W_AnnotMap.empty_annotmap cst_ty
| QmlAst.Ident (_, id) -> (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Ident start for %s@." (Ident.to_string id) ;
#<End> ; (* <---------- END DEBUG *)
try
let (ident_ty, ident_annotmap_scheme) =
W_TypingEnv.get_ident_type_and_annotmap_scheme id typing_env in
(* Since this inference case implies a scheme instantiation, we must
register it in the annotation map. *)
let annotmap =
annotmap_add_scheme_elimination
(QmlAst.QAnnot.expr original_expr) ident_annotmap_scheme
W_AnnotMap.empty_annotmap in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Ident nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
perform_infer_expr_type_postlude original_expr annotmap ident_ty
with Not_found ->
(* The identifier was not found in the typing environment. *)
let err_loc =
QmlTyperException.loc_make
(`Expr_loc original_expr) QmlTyperException.loc_set_empty in
raise
(QmlTyperException.Exception
(err_loc, (QmlTyperException.IdentifierNotFound (id, []))))
)
| QmlAst.LetIn (_, def_bindings, in_expr) ->
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "LetIn start@." ;
#<End> ; (* <---------- END DEBUG *)
(* The definition is not recursive. *)
let (new_env, annotmap_from_bindings) =
infer_nrec_let_definition_type
~lifted_module_field: false ~bypass_typer typing_env def_bindings in
let (in_expr_ty, in_expr_annotmap) =
infer_expr_type ~bypass_typer new_env in_expr in
(* Merge the 2 annotation maps. *)
let final_annotmap =
QmlAnnotMap.merge in_expr_annotmap annotmap_from_bindings in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "LetIn nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
(* Finally, return the type of the "in-part" of the let-definition and
the annotation map cumulating all the encountered annotations. *)
perform_infer_expr_type_postlude original_expr final_annotmap in_expr_ty
| QmlAst.LetRecIn (_, def_bindings, in_expr) ->
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "LetRecIn start@." ;
#<End> ; (* <---------- END DEBUG *)
(* The definition is not recursive. *)
let (new_env, annotmap_from_bindings) =
infer_rec_let_definition_type
~lifted_module_field: false ~bypass_typer typing_env def_bindings in
let (in_expr_ty, in_expr_annotmap) =
infer_expr_type ~bypass_typer new_env in_expr in
(* Merge the 2 annotation maps. *)
let final_annotmap =
QmlAnnotMap.merge in_expr_annotmap annotmap_from_bindings in
(* Finally, return the type of the "in-part" of the let-definition and
the annotation map cumulating all the encountered annotations. *)
perform_infer_expr_type_postlude original_expr final_annotmap in_expr_ty
| QmlAst.Lambda (_, params_names, body) ->
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Lambda start@." ;
#<End> ; (* <---------- END DEBUG *)
(* Create a fresh type variable for each argument of the function. *)
let params_tys =
List.map (fun _ -> W_CoreTypes.type_variable ()) params_names in
(* Extend the current environment with each argument name bound to a
trivial type scheme (no polymorphic recursion) whose body is the fresh
type variable created for the argument. *)
let extended_typing_env =
List.fold_left2
(fun accu_env param_name param_ty ->
let trivial_scheme = W_SchemeGenAndInst.trivial_scheme param_ty in
(* During inference's recursive descent, we always extend the
"local" (i.e. private to the typechecker) typing environment. *)
let accu_env' = {
accu_env with
W_TypingEnv.ty_env_local =
(param_name, trivial_scheme) ::
accu_env.W_TypingEnv.ty_env_local } in
accu_env')
typing_env params_names params_tys in
let (body_ty, body_annotmap) =
infer_expr_type ~bypass_typer extended_typing_env body in
let fun_ty = W_CoreTypes.type_arrow params_tys body_ty in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Lambda nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
perform_infer_expr_type_postlude original_expr body_annotmap fun_ty
| QmlAst.Apply (_, fun_part_expr, args_exprs) ->
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Apply start@." ;
#<End> ; (* <---------- END DEBUG *)
(* First, infer the type of the functional part of the application. *)
let (fun_part_ty, fun_part_annotmap) =
infer_expr_type ~bypass_typer typing_env fun_part_expr in
(* Now, infer the type of each argument applied. *)
let (reved_args_tys, args_annotmap) =
List.fold_left
(* Really left, to process arguments in their apparition order and
hence merge the annotation maps in the right order. However, this
builds the list of types in reverse order. So, we reverse it
afterwards. *)
(fun (args_tys_accu, annotmap_accu) arg ->
let (arg_ty, arg_annotmap) =
infer_expr_type ~bypass_typer typing_env arg in
(* Accumulate the new argument type. *)
let args_tys_accu' = arg_ty :: args_tys_accu in
(* Accumulate the annotations of the map. *)
let annotmap_accu' =
QmlAnnotMap.merge annotmap_accu arg_annotmap in
(args_tys_accu', annotmap_accu'))
([], fun_part_annotmap)
args_exprs in
(* Put back the list of arguments types in the correct order. *)
let args_tys = List.rev reved_args_tys in
(* Now, create a fresh variable to get a handle on the type of the
application result. *)
let ty_app_result = W_CoreTypes.type_variable () in
(* Finally, we unify the type of the function with a functional type we
create, having the above variable in positive part (to recover this
type as the result of the application) and the types inferred for the
arguments in negative part. *)
let tmp_arrow_type = W_CoreTypes.type_arrow args_tys ty_app_result in
(try W_Unify.unify_simple_type typing_env fun_part_ty tmp_arrow_type
with W_Unify.Unification_simple_type_conflict (err_t1, err_t2, detail) ->
raise
(W_InferErrors.Infer_detailled_unification_conflict
(W_InferErrors.UCC_apply
(original_expr, fun_part_ty, tmp_arrow_type),
err_t1, err_t2, detail))) ;
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Apply nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
perform_infer_expr_type_postlude original_expr args_annotmap ty_app_result
| QmlAst.Match (_, matched_e, cases_list) -> (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Match start@." ;
#<End> ; (* <---------- END DEBUG *)
(* Typecheck the matched expression. *)
let (matched_ty, matched_annotmap) =
infer_expr_type ~bypass_typer typing_env matched_e in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Matched expression:@ %a@."
W_PrintTypes.pp_simple_type matched_ty ;
#<End> ; (* <---------- END DEBUG *)
(* Now, get the individual type of each pattern. By the way, accumulate
annotations of the maps. *)
let (revd_patts_typing_info, patts_annotmap) =
List.fold_left
(* Really left, to process patterns in their apparition order and
accumulate annotations in the right order. But this builds the
result list in reverse order, so we will put it in the right order
later. *)
(fun (typing_info_accu, annotmap_accu) (pat, _) ->
let (typing_info, pat_annotmap) =
infer_pattern_type typing_env pat in
let typing_info_accu' = typing_info :: typing_info_accu in
(* Accumulate the annotations of the map. *)
let annotmap_accu' =
QmlAnnotMap.merge annotmap_accu pat_annotmap in
(typing_info_accu', annotmap_accu'))
(* Start with annotation map got from the matched expression. *)
([], matched_annotmap)
cases_list in
(* Recover the various interesting stuff from the pattern inference. *)
let (found_catchalls, tys_of_pats, envs_extens) =
BaseList.split3 (List.rev revd_patts_typing_info) in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
List.iter
(fun t ->
OManager.printf "@[<1>Inferred pattern type: %a@]@."
W_PrintTypes.pp_simple_type t)
tys_of_pats ;
#<End> ; (* <---------- END DEBUG *)
(* Now, process the individual patterns types to make on unique final
type and unify also with the type of the matched expression. This
handles the opening of sums that are "under" catchall patterns. *)
let _ty_for_patterns =
W_PatternsProcessing.merge_patterns_types
typing_env (List.flatten found_catchalls)
~pat_match_expr: original_expr ~matched_expr_ty: matched_ty
~patterns_types: tys_of_pats in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf
"@[<1>Global pattern type and matched expression:@ %a@]@."
W_PrintTypes.pp_simple_type _ty_for_patterns ;
#<End> ; (* <---------- END DEBUG *)
(* Now typecheck the right-side part of each branch of the matching in
the extended environment. We first create a temporary type variable
that will serve to accumulate by side effects of the unification the
constraints induced by all the right-parts. *)
let right_parts_ty = W_CoreTypes.type_variable () in
let final_annot_map =
List.fold_left2
(fun annotmap_accu (_, branch_expr) env_extens ->
(* Locally extend the environment with the bindings induced by the
pattern. *)
let typing_env' = {
typing_env with
W_TypingEnv.ty_env_local =
env_extens @ typing_env.W_TypingEnv.ty_env_local } in
(* Infer the type of the branch. *)
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Match ready to infer right-expr@." ;
#<End> ; (* <---------- END DEBUG *)
let (branch_ty, branch_annotmap) =
infer_expr_type ~bypass_typer typing_env' branch_expr in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "@[<1>Match right-expr done:@ %a@]@."
W_PrintTypes.pp_simple_type branch_ty ;
#<End> ; (* <---------- END DEBUG *)
(* Unify the found type with the one found for the other
branches. *)
(try W_Unify.unify_simple_type typing_env right_parts_ty branch_ty
with
| W_Unify.Unification_simple_type_conflict
(err_t1, err_t2, detail) ->
raise
(W_InferErrors.Infer_detailled_unification_conflict
(W_InferErrors.UCC_match_ty_right_parts_vs_ty_branch
(branch_expr, right_parts_ty, branch_ty),
err_t1, err_t2, detail))) ;
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf
"@[<1>Match right-part, unify with accu gave:@ %a@]@."
W_PrintTypes.pp_simple_type right_parts_ty ;
#<End> ; (* <---------- END DEBUG *)
(* Accumulate the annotations. *)
let annotmap_accu' =
QmlAnnotMap.merge annotmap_accu branch_annotmap in
annotmap_accu')
(* Start with the annotations map containing those of the matched
expression and those of the patterns. *)
patts_annotmap
cases_list envs_extens in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Match nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
(* Finally, the type of the whole expression is the one accumulated by
side effect while typechecking the right-side parts of the
matching. *)
perform_infer_expr_type_postlude
original_expr final_annot_map right_parts_ty
)
| QmlAst.Record (_, fields_exps) ->
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Record start@." ;
#<End> ; (* <---------- END DEBUG *)
(* A record expression leads to a closed record type plugged into an
opened sum type (i.e. the column ends by a column-variable). *)
let (reved_typed_fields, annotmap) =
(* Really left, to process fields in their apparition order and hence
merge the annotation maps in the right order. However, this builds
the list of typed fields in reverse order. So, we reverse it
afterwards. *)
List.fold_left
(fun (typed_fields_accu, annotmap_accu) (field_label, field_expr) ->
let (field_ty, field_annotmap) =
infer_expr_type ~bypass_typer typing_env field_expr in
(* Accumulate the newly typed field. *)
let typed_fields_accu' =
(field_label, field_ty) :: typed_fields_accu in
(* Accumulate the annotations of the map. *)
let annotmap_accu' =
QmlAnnotMap.merge annotmap_accu field_annotmap in
(typed_fields_accu', annotmap_accu'))
([], QmlAnnotMap.empty)
fields_exps in
(* Put back the list of typed_fields in the right order. *)
let typed_fields = List.rev reved_typed_fields in
let record_ty = W_CoreTypes.type_closed_record typed_fields in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Record nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
perform_infer_expr_type_postlude original_expr annotmap record_ty
| QmlAst.Dot (_, record_expr, field_name) ->
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Dot start@." ;
#<End> ; (* <---------- END DEBUG *)
(* Typecheck the expression expected to host the field. *)
let (record_ty, record_annotmap) =
infer_expr_type ~bypass_typer typing_env record_expr in
(* Create a fresh variable to finally get a handle on the type of the
field. *)
let field_type = W_CoreTypes.type_variable () in
(* Now, create a temporary record type, having as minimal fields the one
we access and giving it the type variable we create just above. Since
we are in a dot access, the expected type is the one of a record,
(possibly opened), i.e. something (a sum) having a closed column. *)
let expected_min_record_ty =
W_CoreTypes.type_opened_record [(field_name, field_type)] in
(* Now, unify the temporary record type (that contains our fresh type
variable that we kept under the hand to finally recover the field's
type) and the type inferred for the hosting expression.
This way, we ensure that the hosting expression is really a record,
that it has a field named like the one we want to access, and by side
effect record the type of the field in our fresh type variable. *)
(try W_Unify.unify_simple_type typing_env record_ty expected_min_record_ty
with W_Unify.Unification_simple_type_conflict (err_t1, err_t2, detail) ->
raise
(W_InferErrors.Infer_detailled_unification_conflict
(W_InferErrors.UCC_dot
(original_expr, record_ty, expected_min_record_ty, field_name),
err_t1, err_t2, detail))) ;
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Dot nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
perform_infer_expr_type_postlude original_expr record_annotmap field_type
| QmlAst.ExtendRecord (_, field_name, field_expr, record_expr) -> (
(* Extending a closed record gives a closed record, extending an opened
record gives an opened record.
In order to avoid creation of type with both row and column variable,
we make the choice to plug this record in a *closed* sum. This means
that the ExtendRecord construct always closes the column. *)
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "ExtendRecord start@." ;
#<End> ; (* <---------- END DEBUG *)
(* Typecheck the expression expected to host the field. *)
let (record_ty, record_annotmap) =
infer_expr_type ~bypass_typer typing_env record_expr in
(* Typecheck the expression to bind to the field. *)
let (field_ty, field_annotmap) =
infer_expr_type ~bypass_typer typing_env field_expr in
(* Merge the 2 obtained annotation maps. *)
let final_annotmap = QmlAnnotMap.merge record_annotmap field_annotmap in
(* Now we know the type to give to the field to extend, we must build
two types: the one being the minimal record type we expect for the
initial record expression to extend, the one that will be the result
type after extension.
The first one is a record containing the field with a type variable
(to allow having a different type for this field in the result like
in { { A = 4 } with A = "foo" }).
The second is a record containing the field with the type inferred
in the extending expression.
Both record types share the same row variable to ensure sharing of
the "other" fields.
The first and second ones are in a closed column which in fact forbids
to plug later the result into a sum, as well that the initial record
to extend is not a sum. *)
let (record_expected_min_ty, extended_record_ty) =
W_CoreTypes.record_extention_min_expected_ty_and_result_ty
field_name field_ty in
(* We unify the type inferred for the expression we want to extend with
the minimal record type we expect for it, i.e. with the record type
containing at least the field bound to a type variable.
This unification will instantiate by side effect the row variable of
the result type since this latter and the minimal record type expected
are sharing this variable. *)
(try W_Unify.unify_simple_type typing_env record_ty record_expected_min_ty
with W_Unify.Unification_simple_type_conflict (err_t1, err_t2, detail) ->
raise
(W_InferErrors.Infer_detailled_unification_conflict
(W_InferErrors.UCC_record_extend
(original_expr, record_ty, record_expected_min_ty),
err_t1, err_t2, detail))) ;
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "ExtendRecord nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
perform_infer_expr_type_postlude
original_expr final_annotmap extended_record_ty
)
| QmlAst.Bypass (_, bsl_key) -> (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Bypass start@." ;
#<End> ; (* <---------- END DEBUG *)
match bypass_typer bsl_key with
| Some qml_ty_expr ->
(* See comment for the case [QmlAst.PatCoerce] in the function
[infer_pattern_type] to understand the reason of this magic
call. *)
let (qml_ty_expr, _) =
QmlTypes.type_of_type
typing_env.W_TypingEnv.ty_env_qml_global qml_ty_expr in
(* Now, convert the type expression into an internal typechecker
type by following named types definitions. *)
let ty =
W_TypingEnv.qml_type_to_simple_type
typing_env qml_ty_expr ~is_type_annotation: false in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "@[Bypass nearly end with ty: %a@]@."
W_PrintTypes.pp_simple_type ty ;
#<End> ; (* <---------- END DEBUG *)
perform_infer_expr_type_postlude
original_expr W_AnnotMap.empty_annotmap ty
| None ->
raise
(W_InferErrors.Infer_bypass_type_not_found (bsl_key, original_expr))
)
| QmlAst.Coerce (_, expr, coercing_ty_expr) -> (
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Coerce start@." ;
#<End> ; (* <---------- END DEBUG *)
(* First, infer the type of the coerced expression. Attention, DB paths
are, by invariant, always embedded inside a [Coerce]. So we just
make a special case to typecheck DB paths when we have one, otherwise
we process the coerced expressions in a regular way. *)
let (expr_ty, expr_annotmap) =
(match expr with
| QmlAst.Path (_, keys, kind) ->
(* [TODO] Note that as HMX typechecker, we don't attach
importance to the [QmlAst.Dd.kind] stored in the 2nd
[QmlAst.Path] argument. *)
infer_db_path
~bypass_typer typing_env ~surrounding_path_expr: expr keys kind
| _ -> infer_expr_type ~bypass_typer typing_env expr) in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Coerce end inferred expr@." ;
#<End> ; (* <---------- END DEBUG *)
(* See comment for the case [QmlAst.PatCoerce] in the function
[infer_pattern_type] to understand the reason of this magic call. *)
let coercing_ty_expr =
(try
fst
(QmlTypes.type_of_type
typing_env.W_TypingEnv.ty_env_qml_global coercing_ty_expr)
with QmlTyperException.Exception (_, error) ->
(* Just set a correct source position. *)
let err_loc =
QmlTyperException.loc_make
(`Expr_loc original_expr) QmlTyperException.loc_set_empty in
(* Re-raise the exception, but with the more precise source
location. *)
raise (QmlTyperException.Exception (err_loc, error))) in
(* Now, convert the type expression into an internal typechecker type
by following named types definitions. This will allow to ensure that
the canonical representation of the type constraint is unifiable with
the type inferred for the constrained expression. *)
let coercing_ty =
(try
W_TypingEnv.qml_type_to_simple_type
typing_env coercing_ty_expr ~is_type_annotation: true
with W_TypingEnv.Importing_qml_abstract_ty ->
(* The type annotation contained "external" which is a non-sense. *)
let err_loc =
QmlTyperException.loc_make
(`Expr_loc original_expr) QmlTyperException.loc_set_empty in
raise
(QmlTyperException.Exception
(err_loc,
QmlTyperException.InvalidType
(coercing_ty_expr, `abstract_in_ty_annotation)))) in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Coerce end converted ty constraint@." ;
OManager.printf "@[<1>Must unify@\n%a@\nand@\n%a@]@."
W_PrintTypes.pp_simple_type expr_ty
W_PrintTypes.pp_simple_type coercing_ty ;
#<End> ; (* <---------- END DEBUG *)
(* Force unification between the type inferred for the expression and the
coercing type. *)
(try W_Unify.unify_simple_type typing_env expr_ty coercing_ty
with W_Unify.Unification_simple_type_conflict (err_t1, err_t2, detail) ->
raise
(W_InferErrors.Infer_detailled_unification_conflict
(W_InferErrors.UCC_coerce (original_expr, expr_ty, coercing_ty),
err_t1, err_t2, detail))) ;
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "Coerce nearly stop@." ;
#<End> ; (* <---------- END DEBUG *)
(* The finally retained type is the coercing one, not the one used to
ensure that the canonical representation of the constraint is
unifiable with the type inferred for the constrained expression. *)
let final_result =
perform_infer_expr_type_postlude
original_expr expr_annotmap coercing_ty in
#<If:TYPER $minlevel 9> (* <---------- DEBUG *)
OManager.printf "@[<1>Coerce final ty:@ %a@]@."
W_PrintTypes.pp_simple_type (fst final_result) ;
#<End> ; (* <---------- END DEBUG *)
final_result
)
| QmlAst.Directive (_, variant, exprs, tys) ->
(* Since we have several kind of directives, prefer to have a dedicated
function handling their type inference instead of in-lining all here.
This will be much more readable. *)
infer_directive_type
~bypass_typer typing_env original_expr variant exprs tys
| QmlAst.Path (_, _, _) ->
(* By invariant, the DbPathCoercion (see pass_DbPathCoercion.ml that
calls pass schema_private.ml) must have instrumented the [QmlAst.Path]
code so that if it didn't plug them in a [QmlAst.Coerce] then it
surrounded it by a call to a coercing function ([hack_coerce_default],
[hack_coerce_option], [hack_coerce_vvpath] or [hack_coerce_vrpath]
defined ) in qmlDbGen.ml).
From this matter of fact, the present expression will be coerced by
the surrounding function, and that's this function that gives the
real type of the path. So we can safely type the path here with a
variable, this latter being coerced after. *)
let ty = W_CoreTypes.type_variable () in