let obj_attrs = [`Class `Coercion; `Generated]
+exception UnableToCompose
+
(* generate_composite_closure (c2 (c1 s)) in the universe graph univ *)
-let generate_composite_closure c1 c2 univ =
+let generate_composite_closure rt c1 c2 univ =
+ let module RT = RefinementTool in
let c1_ty,univ = CicTypeChecker.type_of_aux' [] [] c1 univ in
- let rec mk_rels n =
+ let c2_ty,univ = CicTypeChecker.type_of_aux' [] [] c2 univ in
+ let rec mk_implicits n =
match n with
| 0 -> []
- | _ -> (Cic.Rel n) :: (mk_rels (n-1))
+ | _ -> (Cic.Implicit None) :: mk_implicits (n-1)
in
- let rec compose k =
- function
- | Cic.Prod (name,src,tgt) ->
- let name =
- match name with
- | Cic.Anonymous -> Cic.Name "x"
- | _ -> name
- in
- Cic.Lambda (name,src,compose (k+1) tgt)
- | Cic.Appl (he::tl) ->
- Cic.Appl (c2 :: tl @ [Cic.Appl (c1 :: (mk_rels k)) ])
- | _ -> Cic.Appl (c2 :: [Cic.Appl (c1 :: (mk_rels k)) ])
+ let rec mk_lambda_spline c = function
+ | 0 -> c
+ | n ->
+ Cic.Lambda
+ (Cic.Name ("A" ^ string_of_int (n-1)),
+ (Cic.Implicit None),
+ mk_lambda_spline c (n-1))
+ in
+ let rec count_saturations_needed n = function
+ | Cic.Prod (_,src, ((Cic.Prod _) as t)) -> count_saturations_needed (n+1) t
+ | _ -> n
+ in
+ let compose c1 nc1 c2 nc2 =
+ Cic.Lambda
+ (Cic.Name "x",
+ (Cic.Implicit None),
+ Cic.Appl ( c2 :: mk_implicits nc2 @
+ [ Cic.Appl ( c1 :: mk_implicits nc1 @ [Cic.Rel 1]) ]))
+ in
+ let order_metasenv metasenv =
+ List.sort
+ (fun (_,ctx1,_) (_,ctx2,_) -> List.length ctx1 - List.length ctx2)
+ metasenv
+ in
+ let rec create_subst_from_metas_to_rels n = function
+ | [] -> []
+ | (metano, ctx, ty)::tl ->
+ (metano,(ctx,Cic.Rel (n+1),ty)) ::
+ create_subst_from_metas_to_rels (n-1) tl
+ in
+ let split_metasenv metasenv n =
+ List.partition (fun (_,ctx,_) -> List.length ctx > n) metasenv
+ in
+ let purge_unused_lambdas metasenv t =
+ let rec aux = function
+ | Cic.Lambda (_, Cic.Meta (i,_), t) when
+ List.exists (fun (j,_,_) -> j = i) metasenv ->
+ CicSubstitution.subst (Cic.Rel ~-100) t
+ | Cic.Lambda (name, s, t) ->
+ Cic.Lambda (name, s, aux t)
+ | t -> t
+ in
+ aux t
in
- let c = compose 0 c1_ty in
+ debug_print (lazy ("\nCOMPOSING"));
+ debug_print (lazy (" c1= "^CicPp.ppterm c1 ^" : "^ CicPp.ppterm c1_ty));
+ debug_print (lazy (" c2= "^CicPp.ppterm c2 ^" : "^ CicPp.ppterm c2_ty));
+ let saturations_for_c1 = count_saturations_needed 0 c1_ty in
+ let saturations_for_c2 = count_saturations_needed 0 c2_ty in
+ let c = compose c1 saturations_for_c1 c2 saturations_for_c2 in
+ let spline_len = saturations_for_c1 + saturations_for_c2 in
+ let c = mk_lambda_spline c spline_len in
+ (* debug_print (lazy ("COMPOSTA: " ^ CicPp.ppterm c)); *)
+ let c, univ =
+ match rt.RT.type_of_aux' [] [] c univ with
+ | RT.Success (term, ty, metasenv, ugraph) ->
+ debug_print(lazy("COMPOSED REFINED: "^CicPp.ppterm term));
+ let metasenv = order_metasenv metasenv in
+ debug_print(lazy("ORDERED MENV: "^rt.RT.ppmetasenv [] metasenv));
+ let body_metasenv, lambdas_metasenv =
+ split_metasenv metasenv spline_len
+ in
+ debug_print(lazy("B_MENV: "^rt.RT.ppmetasenv [] body_metasenv));
+ debug_print(lazy("L_MENV: "^rt.RT.ppmetasenv [] lambdas_metasenv));
+ let subst = create_subst_from_metas_to_rels spline_len body_metasenv in
+ debug_print (lazy("SUBST: "^rt.RT.ppsubst subst));
+ let term = rt.RT.apply_subst subst term in
+ debug_print (lazy ("COMPOSED SUBSTITUTED: " ^ CicPp.ppterm term));
+ (match rt.RT.type_of_aux' metasenv [] term ugraph with
+ | RT.Success (term, ty, metasenv, ugraph) ->
+ let body_metasenv, lambdas_metasenv =
+ split_metasenv metasenv spline_len
+ in
+ let term = purge_unused_lambdas lambdas_metasenv term in
+ debug_print (lazy ("COMPOSED: " ^ CicPp.ppterm term));
+ term, ugraph
+ | RT.Exception s -> debug_print s; raise UnableToCompose)
+ | RT.Exception s -> debug_print s; raise UnableToCompose
+ in
let c_ty,univ =
try
CicTypeChecker.type_of_aux' [] [] c univ
- with CicTypeChecker.TypeCheckerFailure s as exn ->
+ with CicTypeChecker.TypeCheckerFailure s ->
debug_print (lazy (Printf.sprintf "Generated composite coercion:\n%s\n%s"
(CicPp.ppterm c) (Lazy.force s)));
- raise exn
+ raise UnableToCompose
in
let cleaned_ty =
FreshNamesGenerator.clean_dummy_dependent_types c_ty
(* given a new coercion uri from src to tgt returns
* a list of (new coercion uri, coercion obj, universe graph)
*)
-let close_coercion_graph src tgt uri =
+let close_coercion_graph rt src tgt uri =
(* check if the coercion already exists *)
let coercions = CoercDb.to_list () in
let todo_list = get_closure_coercions src tgt uri coercions in
let todo_list = filter_duplicates todo_list coercions in
let new_coercions =
- List.map (
+ HExtlib.filter_map (
fun (src, l , tgt) ->
- match l with
- | [] -> assert false
- | he :: tl ->
- let first_step =
- Cic.Constant ("",
- Some (CoercDb.term_of_carr (CoercDb.Uri he)),
- Cic.Sort Cic.Prop, [], obj_attrs)
- in
- let o,_ =
- List.fold_left (fun (o,univ) coer ->
- match o with
- | Cic.Constant (_,Some c,_,[],_) ->
- generate_composite_closure c (CoercDb.term_of_carr (CoercDb.Uri
- coer)) univ
+ try
+ (match l with
+ | [] -> assert false
+ | he :: tl ->
+ let first_step =
+ Cic.Constant ("",
+ Some (CoercDb.term_of_carr (CoercDb.Uri he)),
+ Cic.Sort Cic.Prop, [], obj_attrs)
+ in
+ let o,_ =
+ List.fold_left (fun (o,univ) coer ->
+ match o with
+ | Cic.Constant (_,Some c,_,[],_) ->
+ generate_composite_closure rt c
+ (CoercDb.term_of_carr (CoercDb.Uri coer)) univ
+ | _ -> assert false
+ ) (first_step, CicUniv.empty_ugraph) tl
+ in
+ let name_src = CoercDb.name_of_carr src in
+ let name_tgt = CoercDb.name_of_carr tgt in
+ let name = name_tgt ^ "_of_" ^ name_src in
+ let buri = UriManager.buri_of_uri uri in
+ let c_uri =
+ UriManager.uri_of_string (buri ^ "/" ^ name ^ ".con")
+ in
+ let named_obj =
+ match o with
+ | Cic.Constant (_,bo,ty,vl,attrs) ->
+ Cic.Constant (name,bo,ty,vl,attrs)
| _ -> assert false
- ) (first_step, CicUniv.empty_ugraph) tl
- in
- let name_src = CoercDb.name_of_carr src in
- let name_tgt = CoercDb.name_of_carr tgt in
- let name = name_tgt ^ "_of_" ^ name_src in
- let buri = UriManager.buri_of_uri uri in
- let c_uri =
- UriManager.uri_of_string (buri ^ "/" ^ name ^ ".con")
- in
- let named_obj =
- match o with
- | Cic.Constant (_,bo,ty,vl,attrs) ->
- Cic.Constant (name,bo,ty,vl,attrs)
- | _ -> assert false
- in
- ((src,tgt,c_uri,named_obj))
+ in
+ Some ((src,tgt,c_uri,named_obj)))
+ with UnableToCompose -> None
) todo_list
in
new_coercions