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-rw-r--r--vernac/comInductive.ml98
1 files changed, 82 insertions, 16 deletions
diff --git a/vernac/comInductive.ml b/vernac/comInductive.ml
index db2f16525..b93e8d9ac 100644
--- a/vernac/comInductive.ml
+++ b/vernac/comInductive.ml
@@ -27,9 +27,7 @@ open Impargs
open Reductionops
open Indtypes
open Pretyping
-open Evarutil
open Indschemes
-open Misctypes
open Context.Rel.Declaration
open Entries
@@ -159,7 +157,7 @@ let sign_level env evd sign =
| LocalDef _ -> lev, push_rel d env
| LocalAssum _ ->
let s = destSort (Reduction.whd_all env
- (EConstr.Unsafe.to_constr (nf_evar evd (Retyping.get_type_of env evd (EConstr.of_constr (RelDecl.get_type d))))))
+ (EConstr.to_constr evd (Retyping.get_type_of env evd (EConstr.of_constr (RelDecl.get_type d)))))
in
let u = univ_of_sort s in
(Univ.sup u lev, push_rel d env))
@@ -178,6 +176,72 @@ let is_flexible_sort evd u =
| Some l -> Evd.is_flexible_level evd l
| None -> false
+(**********************************************************************)
+(* Tools for template polymorphic inductive types *)
+
+(* Miscellaneous functions to remove or test local univ assumed to
+ occur only in the le constraints *)
+
+(*
+ Solve a system of universe constraint of the form
+
+ u_s11, ..., u_s1p1, w1 <= u1
+ ...
+ u_sn1, ..., u_snpn, wn <= un
+
+where
+
+ - the ui (1 <= i <= n) are universe variables,
+ - the sjk select subsets of the ui for each equations,
+ - the wi are arbitrary complex universes that do not mention the ui.
+*)
+
+let is_direct_sort_constraint s v = match s with
+ | Some u -> Univ.univ_level_mem u v
+ | None -> false
+
+let solve_constraints_system levels level_bounds =
+ let open Univ in
+ let levels =
+ Array.mapi (fun i o ->
+ match o with
+ | Some u ->
+ (match Universe.level u with
+ | Some u -> Some u
+ | _ -> level_bounds.(i) <- Universe.sup level_bounds.(i) u; None)
+ | None -> None)
+ levels in
+ let v = Array.copy level_bounds in
+ let nind = Array.length v in
+ let clos = Array.map (fun _ -> Int.Set.empty) levels in
+ (* First compute the transitive closure of the levels dependencies *)
+ for i=0 to nind-1 do
+ for j=0 to nind-1 do
+ if not (Int.equal i j) && is_direct_sort_constraint levels.(j) v.(i) then
+ clos.(i) <- Int.Set.add j clos.(i);
+ done;
+ done;
+ let rec closure () =
+ let continue = ref false in
+ Array.iteri (fun i deps ->
+ let deps' =
+ Int.Set.fold (fun j acc -> Int.Set.union acc clos.(j)) deps deps
+ in
+ if Int.Set.equal deps deps' then ()
+ else (clos.(i) <- deps'; continue := true))
+ clos;
+ if !continue then closure ()
+ else ()
+ in
+ closure ();
+ for i=0 to nind-1 do
+ for j=0 to nind-1 do
+ if not (Int.equal i j) && Int.Set.mem j clos.(i) then
+ (v.(i) <- Universe.sup v.(i) level_bounds.(j));
+ done;
+ done;
+ v
+
let inductive_levels env evd poly arities inds =
let destarities = List.map (fun x -> x, Reduction.dest_arity env x) arities in
let levels = List.map (fun (x,(ctx,a)) ->
@@ -206,8 +270,8 @@ let inductive_levels env evd poly arities inds =
in
(* Take the transitive closure of the system of constructors *)
(* level constraints and remove the recursive dependencies *)
- let levels' = Universes.solve_constraints_system (Array.of_list levels)
- (Array.of_list cstrs_levels) (Array.of_list min_levels)
+ let levels' = solve_constraints_system (Array.of_list levels)
+ (Array.of_list cstrs_levels)
in
let evd, arities =
CList.fold_left3 (fun (evd, arities) cu (arity,(ctx,du)) len ->
@@ -261,14 +325,14 @@ let check_param = function
| CLocalAssum (nas, Default _, _) -> List.iter check_named nas
| CLocalAssum (nas, Generalized _, _) -> ()
| CLocalPattern {CAst.loc} ->
- Loc.raise ?loc (Stream.Error "pattern with quote not allowed here.")
+ Loc.raise ?loc (Stream.Error "pattern with quote not allowed here")
let interp_mutual_inductive (paramsl,indl) notations cum poly prv finite =
check_all_names_different indl;
List.iter check_param paramsl;
let env0 = Global.env() in
let pl = (List.hd indl).ind_univs in
- let sigma, decl = Univdecls.interp_univ_decl_opt env0 pl in
+ let sigma, decl = interp_univ_decl_opt env0 pl in
let sigma, (impls, ((env_params, ctx_params), userimpls)) =
interp_context_evars env0 sigma paramsl
in
@@ -302,22 +366,24 @@ let interp_mutual_inductive (paramsl,indl) notations cum poly prv finite =
() in
(* Try further to solve evars, and instantiate them *)
- let sigma = solve_remaining_evars all_and_fail_flags env_params sigma Evd.empty in
+ let sigma = solve_remaining_evars all_and_fail_flags env_params sigma (Evd.from_env env_params) in
(* Compute renewed arities *)
- let sigma, nf = nf_evars_and_universes sigma in
+ let sigma = Evd.minimize_universes sigma in
+ let nf = Evarutil.nf_evars_universes sigma in
let constructors = List.map (fun (idl,cl,impsl) -> (idl,List.map nf cl,impsl)) constructors in
let arities = List.map EConstr.(to_constr sigma) arities in
let sigma = List.fold_left2 (fun sigma ty poly -> make_conclusion_flexible sigma ty poly) sigma arities aritypoly in
let sigma, arities = inductive_levels env_ar_params sigma poly arities constructors in
- let sigma, nf' = nf_evars_and_universes sigma in
- let arities = List.map nf' arities in
- let constructors = List.map (fun (idl,cl,impsl) -> (idl,List.map nf' cl,impsl)) constructors in
+ let sigma = Evd.minimize_universes sigma in
+ let nf = Evarutil.nf_evars_universes sigma in
+ let arities = List.map nf arities in
+ let constructors = List.map (fun (idl,cl,impsl) -> (idl,List.map nf cl,impsl)) constructors in
let ctx_params = List.map Termops.(map_rel_decl (EConstr.to_constr sigma)) ctx_params in
let uctx = Evd.check_univ_decl ~poly sigma decl in
- List.iter (fun c -> check_evars env_params Evd.empty sigma (EConstr.of_constr c)) arities;
- Context.Rel.iter (fun c -> check_evars env0 Evd.empty sigma (EConstr.of_constr c)) ctx_params;
+ List.iter (fun c -> check_evars env_params (Evd.from_env env_params) sigma (EConstr.of_constr c)) arities;
+ Context.Rel.iter (fun c -> check_evars env0 (Evd.from_env env0) sigma (EConstr.of_constr c)) ctx_params;
List.iter (fun (_,ctyps,_) ->
- List.iter (fun c -> check_evars env_ar_params Evd.empty sigma (EConstr.of_constr c)) ctyps)
+ List.iter (fun c -> check_evars env_ar_params (Evd.from_env env_ar_params) sigma (EConstr.of_constr c)) ctyps)
constructors;
(* Build the inductive entries *)
@@ -378,7 +444,7 @@ let extract_params indl =
let extract_inductive indl =
List.map (fun (({CAst.v=indname},pl),_,ar,lc) -> {
ind_name = indname; ind_univs = pl;
- ind_arity = Option.cata (fun x -> x) (CAst.make @@ CSort (GType [])) ar;
+ ind_arity = Option.cata (fun x -> x) (CAst.make @@ CSort (Glob_term.GType [])) ar;
ind_lc = List.map (fun (_,({CAst.v=id},t)) -> (id,t)) lc
}) indl