-let debug = false
-let debug_print s = if debug then prerr_endline (Lazy.force s) else ()
-
-(* given the new coercion uri from src to tgt returns the list
- * of new coercions to create. hte list elements are
- * (source, list of coercions to follow, target)
- *)
-let get_closure_coercions src tgt uri coercions =
- let eq_carr s t =
- try
- CoercDb.eq_carr s t
- with
- | CoercDb.EqCarrNotImplemented _ | CoercDb.EqCarrOnNonMetaClosed -> false
- in
- match src,tgt with
- | CoercDb.Uri _, CoercDb.Uri _ ->
- let c_from_tgt =
- List.filter
- (fun (f,t,_) -> eq_carr f tgt (*&& not (eq_carr t src)*))
- coercions
- in
- let c_to_src =
- List.filter
- (fun (f,t,_) -> eq_carr t src (*&& not (eq_carr f tgt)*))
- coercions
- in
- (HExtlib.flatten_map
- (fun (_,t,ul) -> List.map (fun u -> src,[uri; u],t) ul) c_from_tgt) @
- (HExtlib.flatten_map
- (fun (s,_,ul) -> List.map (fun u -> s,[u; uri],tgt) ul) c_to_src) @
- (HExtlib.flatten_map
- (fun (s,_,u1l) ->
- HExtlib.flatten_map
- (fun (_,t,u2l) ->
- HExtlib.flatten_map
- (fun u1 ->
- List.map
- (fun u2 -> (s,[u1;uri;u2],t))
- u2l)
- u1l)
- c_from_tgt)
- c_to_src)
- | _ -> [] (* do not close in case source or target is not an indty ?? *)
-;;
-
-let obj_attrs n = [`Class (`Coercion n); `Generated]
-
-exception UnableToCompose
-
-(* generate_composite_closure (c2 (c1 s)) in the universe graph univ *)
-let generate_composite_closure rt c1 c2 univ arity =
- let module RT = RefinementTool in
- let c1_ty,univ = CicTypeChecker.type_of_aux' [] [] c1 univ in
- let c2_ty,univ = CicTypeChecker.type_of_aux' [] [] c2 univ in
- let rec mk_implicits = function
- | 0 -> [] | n -> (Cic.Implicit None) :: mk_implicits (n-1)
- in
- let rec mk_lambda_spline c namer = function
- | 0 -> c
- | n ->
- Cic.Lambda
- (namer n,
- (Cic.Implicit None),
- mk_lambda_spline c namer (n-1))
- in
- let count_saturations_needed t arity =
- let rec aux acc n = function
- | Cic.Prod (name,src, ((Cic.Prod _) as t)) ->
- aux (acc@[name]) (n+1) t
- | _ -> n,acc
- in
- let len,names = aux [] 0 t in
- let len = len - arity in
- List.fold_left
- (fun (n,l) x -> if n <= len then n+1,l@[x] else n,l) (0,[])
- names
- 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 =
- let module OT = struct type t = int let compare = Pervasives.compare end in
- let module S = HTopoSort.Make (OT) in
- let dep i =
- let _,_,ty = List.find (fun (j,_,_) -> j=i) metasenv in
- let metas = List.map fst (CicUtil.metas_of_term ty) in
- HExtlib.list_uniq (List.sort Pervasives.compare metas)
- in
- let om =
- S.topological_sort (List.map (fun (i,_,_) -> i) metasenv) dep
- in
- List.map (fun i -> List.find (fun (j,_,_) -> i=j) metasenv) om
- 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 ->
- aux (CicSubstitution.subst (Cic.Rel ~-100) t)
- | Cic.Lambda (name, s, t) ->
- Cic.Lambda (name, s, aux t)
- | t -> t
- in
- aux t
- in
- let order_body_menv term body_metasenv =
- let rec purge_lambdas = function
- | Cic.Lambda (_,_,t) -> purge_lambdas t
- | t -> t
- in
- let skip_appl = function | Cic.Appl l -> List.tl l | _ -> assert false in
- let metas_that_saturate l =
- List.fold_left
- (fun (acc,n) t ->
- let metas = CicUtil.metas_of_term t in
- let metas = List.map fst metas in
- let metas =
- List.filter
- (fun i -> List.for_all (fun (j,_) -> j<>i) acc)
- metas
- in
- let metas = List.map (fun i -> i,n) metas in
- metas @ acc, n+1)
- ([],0) l
- in
- let l_c2 = skip_appl (purge_lambdas term) in
- let l_c1 =
- match HExtlib.list_last l_c2 with
- | Cic.Appl l -> List.tl l
- | _ -> assert false
- in
- (* i should cut off the laet elem of l_c2 *)
- let meta2no = fst (metas_that_saturate (l_c1 @ l_c2)) in
- List.sort
- (fun (i,ctx1,ty1) (j,ctx1,ty1) ->
- try List.assoc i meta2no - List.assoc j meta2no
- with Not_found -> assert false)
- body_metasenv
- in
- let namer l n =
- let l = List.map (function Cic.Name s -> s | _ -> "A") l in
- let l = List.fold_left
- (fun acc s ->
- let rec add' s =
- if List.exists ((=) s) acc then add' (s^"'") else s
- in
- acc@[add' s])
- [] l
- in
- let l = List.rev l in
- Cic.Name (List.nth l (n-1))
- 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, names_c1 = count_saturations_needed c1_ty arity in
- let saturations_for_c2, names_c2 = count_saturations_needed c2_ty 0 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 (namer (names_c1 @ names_c2)) 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 body_metasenv = order_body_menv term body_metasenv in
- debug_print(lazy("ORDERED_B_MENV: "^rt.RT.ppmetasenv [] body_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 ->
- debug_print (lazy (Printf.sprintf "Generated composite coercion:\n%s\n%s"
- (CicPp.ppterm c) (Lazy.force s)));
- raise UnableToCompose
- in
- let cleaned_ty =
- FreshNamesGenerator.clean_dummy_dependent_types c_ty
- in
- let obj = Cic.Constant ("xxxx",Some c,cleaned_ty,[],obj_attrs arity) in
- obj,univ