Source file term_typing.ml
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open CErrors
open Util
open Names
open Constr
open Declarations
open Environ
open Entries
open Univ
module NamedDecl = Context.Named.Declaration
type 'a effect_handler =
env -> Constr.t -> 'a -> (Constr.t * ContextSet.t * int)
let skip_trusted_seff sl b e =
let rec aux sl b e acc =
let open Context.Rel.Declaration in
if Int.equal sl 0 then b, e, acc
else match kind b with
| LetIn (n,c,ty,bo) ->
aux (sl - 1) bo
(Environ.push_rel (LocalDef (n,c,ty)) e) (`Let(n,c,ty)::acc)
| App(hd,arg) ->
begin match kind hd with
| Lambda (n,ty,bo) ->
aux (sl - 1) bo
(Environ.push_rel (LocalAssum (n,ty)) e) (`Cut(n,ty,arg)::acc)
| _ -> assert false
end
| _ -> assert false
in
aux sl b e []
let rec unzip ctx j =
match ctx with
| [] -> j
| `Let (n,c,ty) :: ctx ->
unzip ctx { j with uj_val = mkLetIn (n,c,ty,j.uj_val) }
| `Cut (n,ty,arg) :: ctx ->
unzip ctx { j with uj_val = mkApp (mkLambda (n,ty,j.uj_val),arg) }
type typing_context =
| MonoTyCtx of Environ.env * unsafe_type_judgment * Id.Set.t
| PolyTyCtx of Environ.env * unsafe_type_judgment * universe_level_subst * AbstractContext.t * Id.Set.t
let check_primitive_type env op_t u t =
let inft = Typeops.type_of_prim_or_type env u op_t in
try Reduction.default_conv Reduction.CONV env inft t
with Reduction.NotConvertible ->
Type_errors.error_incorrect_primitive env (make_judge op_t inft) t
let infer_primitive env { prim_entry_type = utyp; prim_entry_content = p; } =
let open CPrimitives in
let auctx = CPrimitives.op_or_type_univs p in
let univs, typ =
match utyp with
| None ->
let u = UContext.instance (AbstractContext.repr auctx) in
let typ = Typeops.type_of_prim_or_type env u p in
let univs = if AbstractContext.is_empty auctx then Monomorphic
else Polymorphic auctx
in
univs, typ
| Some (typ,Monomorphic_entry) ->
assert (AbstractContext.is_empty auctx);
let u = Instance.empty in
let typ =
let typ = Typeops.infer_type env typ in
check_primitive_type env p u typ.utj_val;
typ.utj_val
in
Monomorphic, typ
| Some (typ,Polymorphic_entry uctx) ->
assert (not (AbstractContext.is_empty auctx));
if not (AbstractContext.size auctx = UContext.size uctx
&& Constraints.is_empty (UContext.constraints uctx))
then CErrors.user_err Pp.(str "Incorrect universes for primitive " ++
str (op_or_type_to_string p));
let env = push_context ~strict:false uctx env in
let typ = (Typeops.infer_type env typ).utj_val in
let () = check_primitive_type env p (UContext.instance uctx) typ in
let uctx = UContext.refine_names (AbstractContext.names auctx) uctx in
let u, auctx = abstract_universes uctx in
let typ = Vars.subst_univs_level_constr (make_instance_subst u) typ in
Polymorphic auctx, typ
in
let body = match p with
| OT_op op -> Declarations.Primitive op
| OT_type _ -> Undef None
| OT_const c -> Def (CPrimitives.body_of_prim_const c)
in
{ Cooking.cook_body = body;
cook_type = typ;
cook_universes = univs;
cook_inline = false;
cook_context = None;
cook_relevance = Sorts.Relevant;
cook_flags = Environ.typing_flags env;
}
let infer_declaration env (dcl : constant_entry) =
match dcl with
| ParameterEntry entry ->
let env = match entry.parameter_entry_universes with
| Monomorphic_entry -> env
| Polymorphic_entry uctx -> push_context ~strict:false uctx env
in
let j = Typeops.infer env entry.parameter_entry_type in
let usubst, univs = Declareops.abstract_universes entry.parameter_entry_universes in
let r = Typeops.assumption_of_judgment env j in
let t = Vars.subst_univs_level_constr usubst j.uj_val in
{
Cooking.cook_body = Undef entry.parameter_entry_inline_code;
cook_type = t;
cook_universes = univs;
cook_relevance = r;
cook_inline = false;
cook_context = entry.parameter_entry_secctx;
cook_flags = Environ.typing_flags env;
}
| PrimitiveEntry entry -> infer_primitive env entry
| DefinitionEntry c ->
let { const_entry_type = typ; _ } = c in
let { const_entry_body = body; _ } = c in
let env, usubst, univs = match c.const_entry_universes with
| Monomorphic_entry ->
env, empty_level_subst, Monomorphic
| Polymorphic_entry uctx ->
(** [ctx] must contain local universes, such that it has no impact
on the rest of the graph (up to transitivity). *)
let env = push_context ~strict:false uctx env in
let sbst, auctx = abstract_universes uctx in
let sbst = make_instance_subst sbst in
env, sbst, Polymorphic auctx
in
let j = Typeops.infer env body in
let typ = match typ with
| None ->
Vars.subst_univs_level_constr usubst j.uj_type
| Some t ->
let tj = Typeops.infer_type env t in
let _ = Typeops.judge_of_cast env j DEFAULTcast tj in
Vars.subst_univs_level_constr usubst tj.utj_val
in
let def = Vars.subst_univs_level_constr usubst j.uj_val in
let def = Def def in
{
Cooking.cook_body = def;
cook_type = typ;
cook_universes = univs;
cook_relevance = Relevanceops.relevance_of_term env j.uj_val;
cook_inline = c.const_entry_inline_code;
cook_context = c.const_entry_secctx;
cook_flags = Environ.typing_flags env;
}
(** Definition is opaque (Qed), so we delay the typing of its body. *)
let infer_opaque env = function
| ({ opaque_entry_type = typ;
opaque_entry_universes = Monomorphic_entry; _ } as c) ->
let tyj = Typeops.infer_type env typ in
let context = MonoTyCtx (env, tyj, c.opaque_entry_secctx) in
let def = OpaqueDef () in
{
Cooking.cook_body = def;
cook_type = tyj.utj_val;
cook_universes = Monomorphic;
cook_relevance = Sorts.relevance_of_sort tyj.utj_type;
cook_inline = false;
cook_context = Some c.opaque_entry_secctx;
cook_flags = Environ.typing_flags env;
}, context
| ({ opaque_entry_type = typ;
opaque_entry_universes = Polymorphic_entry uctx; _ } as c) ->
let env = push_context ~strict:false uctx env in
let tj = Typeops.infer_type env typ in
let sbst, auctx = abstract_universes uctx in
let usubst = make_instance_subst sbst in
let context = PolyTyCtx (env, tj, usubst, auctx, c.opaque_entry_secctx) in
let def = OpaqueDef () in
let typ = Vars.subst_univs_level_constr usubst tj.utj_val in
{
Cooking.cook_body = def;
cook_type = typ;
cook_universes = Polymorphic auctx;
cook_relevance = Sorts.relevance_of_sort tj.utj_type;
cook_inline = false;
cook_context = Some c.opaque_entry_secctx;
cook_flags = Environ.typing_flags env;
}, context
let check_section_variables env declared_set typ body =
let ids_typ = global_vars_set env typ in
let ids_def = global_vars_set env body in
let inferred_set = Environ.really_needed env (Id.Set.union ids_typ ids_def) in
if not (Id.Set.subset inferred_set declared_set) then
let l = Id.Set.elements (Id.Set.diff inferred_set declared_set) in
let n = List.length l in
let declared_vars = Pp.pr_sequence Id.print (Id.Set.elements declared_set) in
let inferred_vars = Pp.pr_sequence Id.print (Id.Set.elements inferred_set) in
let missing_vars = Pp.pr_sequence Id.print (List.rev l) in
user_err Pp.(prlist str
["The following section "; (String.plural n "variable"); " ";
(String.conjugate_verb_to_be n); " used but not declared:"] ++ fnl () ++
missing_vars ++ str "." ++ fnl () ++ fnl () ++
str "You can either update your proof to not depend on " ++ missing_vars ++
str ", or you can update your Proof line from" ++ fnl () ++
str "Proof using " ++ declared_vars ++ fnl () ++
str "to" ++ fnl () ++
str "Proof using " ++ inferred_vars)
let build_constant_declaration env result =
let open Cooking in
let typ = result.cook_type in
let hyps, def =
let context_ids = List.map NamedDecl.get_id (named_context env) in
let def = result.cook_body in
match result.cook_context with
| None ->
if List.is_empty context_ids then
Id.Set.empty, def
else
let ids_typ = global_vars_set env typ in
let ids_def = match def with
| Undef _ | Primitive _ -> Id.Set.empty
| Def cs -> global_vars_set env cs
| OpaqueDef _ ->
assert false
in
Environ.really_needed env (Id.Set.union ids_typ ids_def), def
| Some declared ->
let declared = Environ.really_needed env declared in
declared,
match def with
| Undef _ | Primitive _ | OpaqueDef _ as x -> x
| Def cs as x ->
let () = check_section_variables env declared typ cs in
x
in
let univs = result.cook_universes in
let hyps = List.filter (fun d -> Id.Set.mem (NamedDecl.get_id d) hyps) (Environ.named_context env) in
let tps = Vmbytegen.compile_constant_body ~fail_on_error:false env univs def in
{ const_hyps = hyps;
const_body = def;
const_type = typ;
const_body_code = tps;
const_universes = univs;
const_relevance = result.cook_relevance;
const_inline_code = result.cook_inline;
const_typing_flags = result.cook_flags }
let check_delayed (type a) (handle : a effect_handler) tyenv (body : a proof_output) = match tyenv with
| MonoTyCtx (env, tyj, declared) ->
let ((body, uctx), side_eff) = body in
let (body, uctx', valid_signatures) = handle env body side_eff in
let uctx = ContextSet.union uctx uctx' in
let env = push_context_set uctx env in
let body,env,ectx = skip_trusted_seff valid_signatures body env in
let j = Typeops.infer env body in
let j = unzip ectx j in
let _ = Typeops.judge_of_cast env j DEFAULTcast tyj in
let c = j.uj_val in
let () = check_section_variables env declared tyj.utj_val body in
c, Opaqueproof.PrivateMonomorphic uctx
| PolyTyCtx (env, tj, usubst, auctx, declared) ->
let ((body, ctx), side_eff) = body in
let body, ctx', _ = handle env body side_eff in
let ctx = ContextSet.union ctx ctx' in
(** [ctx] must contain local universes, such that it has no impact
on the rest of the graph (up to transitivity). *)
let env = push_subgraph ctx env in
let private_univs = on_snd (subst_univs_level_constraints usubst) ctx in
let j = Typeops.infer env body in
let _ = Typeops.judge_of_cast env j DEFAULTcast tj in
let () = check_section_variables env declared tj.utj_val body in
let def = Vars.subst_univs_level_constr usubst j.uj_val in
def, Opaqueproof.PrivatePolymorphic (AbstractContext.size auctx, private_univs)
let translate_constant env _kn ce =
build_constant_declaration env
(infer_declaration env ce)
let translate_opaque env _kn ce =
let def, ctx = infer_opaque env ce in
build_constant_declaration env def, ctx
let translate_local_assum env t =
let j = Typeops.infer env t in
let t = Typeops.assumption_of_judgment env j in
j.uj_val, t
let translate_recipe env _kn r =
let open Cooking in
let result = Cooking.cook_constant r in
let univs = result.cook_universes in
let tps = Vmbytegen.compile_constant_body ~fail_on_error:false env univs result.cook_body in
let hyps = Option.get result.cook_context in
let hyps = List.filter (fun d -> Id.Set.mem (NamedDecl.get_id d) hyps) (Environ.named_context env) in
{ const_hyps = hyps;
const_body = result.cook_body;
const_type = result.cook_type;
const_body_code = tps;
const_universes = univs;
const_relevance = result.cook_relevance;
const_inline_code = result.cook_inline;
const_typing_flags = result.cook_flags;
}
let translate_local_def env _id centry =
let open Cooking in
let centry = {
const_entry_body = centry.secdef_body;
const_entry_secctx = centry.secdef_secctx;
const_entry_type = centry.secdef_type;
const_entry_universes = Monomorphic_entry;
const_entry_inline_code = false;
} in
let decl = infer_declaration env (DefinitionEntry centry) in
let typ = decl.cook_type in
let () = match decl.cook_universes with
| Monomorphic -> ()
| Polymorphic _ -> assert false
in
let c = match decl.cook_body with
| Def c -> c
| Undef _ | Primitive _ | OpaqueDef _ -> assert false
in
c, decl.cook_relevance, typ