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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: retyping.ml 8673 2006-03-29 21:21:52Z herbelin $ *)
open Util
open Term
open Inductive
open Inductiveops
open Names
open Reductionops
open Environ
open Typeops
open Declarations
let rec subst_type env sigma typ = function
| [] -> typ
| h::rest ->
match kind_of_term (whd_betadeltaiota env sigma typ) with
| Prod (na,c1,c2) -> subst_type env sigma (subst1 h c2) rest
| _ -> anomaly "Non-functional construction"
(* Si ft est le type d'un terme f, lequel est appliqué à args, *)
(* [sort_of_atomic_ty] calcule ft[args] qui doit être une sorte *)
(* On suit une méthode paresseuse, en espèrant que ft est une arité *)
(* et sinon on substitue *)
let sort_of_atomic_type env sigma ft args =
let rec concl_of_arity env ar =
match kind_of_term (whd_betadeltaiota env sigma ar) with
| Prod (na, t, b) -> concl_of_arity (push_rel (na,None,t) env) b
| Sort s -> s
| _ -> decomp_sort env sigma (subst_type env sigma ft (Array.to_list args))
in concl_of_arity env ft
let typeur sigma metamap =
let rec type_of env cstr=
match kind_of_term cstr with
| Meta n ->
(try strip_outer_cast (List.assoc n metamap)
with Not_found -> anomaly "type_of: this is not a well-typed term")
| Rel n ->
let (_,_,ty) = lookup_rel n env in
lift n ty
| Var id ->
(try
let (_,_,ty) = lookup_named id env in
body_of_type ty
with Not_found ->
anomaly ("type_of: variable "^(string_of_id id)^" unbound"))
| Const c ->
let cb = lookup_constant c env in
body_of_type cb.const_type
| Evar ev -> Evd.existential_type sigma ev
| Ind ind -> body_of_type (type_of_inductive env ind)
| Construct cstr -> body_of_type (type_of_constructor env cstr)
| Case (_,p,c,lf) ->
let Inductiveops.IndType(_,realargs) =
try Inductiveops.find_rectype env sigma (type_of env c)
with Not_found -> anomaly "type_of: Bad recursive type" in
let t = whd_beta (applist (p, realargs)) in
(match kind_of_term (whd_betadeltaiota env sigma (type_of env t)) with
| Prod _ -> whd_beta (applist (t, [c]))
| _ -> t)
| Lambda (name,c1,c2) ->
mkProd (name, c1, type_of (push_rel (name,None,c1) env) c2)
| LetIn (name,b,c1,c2) ->
subst1 b (type_of (push_rel (name,Some b,c1) env) c2)
| Fix ((_,i),(_,tys,_)) -> tys.(i)
| CoFix (i,(_,tys,_)) -> tys.(i)
| App(f,args) when isInd f ->
let t = type_of_applied_inductive env (destInd f) args in
strip_outer_cast (subst_type env sigma t (Array.to_list args))
| App(f,args) ->
strip_outer_cast
(subst_type env sigma (type_of env f) (Array.to_list args))
| Cast (c,_, t) -> t
| Sort _ | Prod _ -> mkSort (sort_of env cstr)
and sort_of env t =
match kind_of_term t with
| Cast (c,_, s) when isSort s -> destSort s
| Sort (Prop c) -> type_0
| Sort (Type u) -> Type (Univ.super u)
| Prod (name,t,c2) ->
(match (sort_of env t, sort_of (push_rel (name,None,t) env) c2) with
| _, (Prop Null as s) -> s
| Prop _, (Prop Pos as s) -> s
| Type _, (Prop Pos as s) when
Environ.engagement env = Some ImpredicativeSet -> s
| Type u1, Prop Pos -> Type (Univ.sup u1 Univ.base_univ)
| Prop Pos, (Type u2) -> Type (Univ.sup Univ.base_univ u2)
| Prop Null, (Type _ as s) -> s
| Type u1, Type u2 -> Type (Univ.sup u1 u2))
| App(f,args) when isInd f ->
let t = type_of_applied_inductive env (destInd f) args in
sort_of_atomic_type env sigma t args
| App(f,args) -> sort_of_atomic_type env sigma (type_of env f) args
| Lambda _ | Fix _ | Construct _ ->
anomaly "sort_of: Not a type (1)"
| _ -> decomp_sort env sigma (type_of env t)
and sort_family_of env t =
match kind_of_term t with
| Cast (c,_, s) when isSort s -> family_of_sort (destSort s)
| Sort (Prop c) -> InType
| Sort (Type u) -> InType
| Prod (name,t,c2) -> sort_family_of (push_rel (name,None,t) env) c2
| App(f,args) ->
family_of_sort (sort_of_atomic_type env sigma (type_of env f) args)
| Lambda _ | Fix _ | Construct _ ->
anomaly "sort_of: Not a type (1)"
| _ -> family_of_sort (decomp_sort env sigma (type_of env t))
and type_of_applied_inductive env ind args =
let specif = lookup_mind_specif env ind in
let t = Inductive.type_of_inductive specif in
if is_small_inductive specif then
(* No polymorphism *)
t
else
(* Retyping constructor with the actual arguments *)
let env',llc,ls0 = constructor_instances env specif ind args in
let lls = Array.map (Array.map (sort_of env')) llc in
let ls = Array.map max_inductive_sort lls in
set_inductive_level env (find_inductive_level env specif ind ls0 ls) t
in type_of, sort_of, sort_family_of, type_of_applied_inductive
let get_type_of env sigma c = let f,_,_,_ = typeur sigma [] in f env c
let get_sort_of env sigma t = let _,f,_,_ = typeur sigma [] in f env t
let get_sort_family_of env sigma c = let _,_,f,_ = typeur sigma [] in f env c
let type_of_applied_inductive env sigma ind args =
let _,_,_,f = typeur sigma [] in f env ind args
let get_type_of_with_meta env sigma metamap =
let f,_,_,_ = typeur sigma metamap in f env
(* Makes an assumption from a constr *)
let get_assumption_of env evc c = c
(* Makes an unsafe judgment from a constr *)
let get_judgment_of env evc c = { uj_val = c; uj_type = get_type_of env evc c }
|
