+(* DEBUGGING ONLY
+let whd ?(delta=true) ?(subst=[]) context t =
+ let res = whd ~delta ~subst context t in
+ let rescsc = CicReductionNaif.whd ~delta ~subst context t in
+ if not (fst (are_convertible CicReductionNaif.whd ~subst context res rescsc CicUniv.empty_ugraph)) then
+ begin
+ debug_print (lazy ("PRIMA: " ^ CicPp.ppterm t)) ;
+ flush stderr ;
+ debug_print (lazy ("DOPO: " ^ CicPp.ppterm res)) ;
+ flush stderr ;
+ debug_print (lazy ("CSC: " ^ CicPp.ppterm rescsc)) ;
+ flush stderr ;
+fdebug := 0 ;
+let _ = are_convertible CicReductionNaif.whd ~subst context res rescsc CicUniv.empty_ugraph in
+ assert false ;
+ end
+ else
+ res
+;;
+*)
+
+let are_convertible = are_convertible whd
+
+let whd = R.whd
+
+(*
+let profiler_other_whd = HExtlib.profile ~enable:profile "~are_convertible.whd"
+let whd ?(delta=true) ?(subst=[]) context t =
+ let foo () =
+ whd ~delta ~subst context t
+ in
+ profiler_other_whd.HExtlib.profile foo ()
+*)
+
+let rec normalize ?(delta=true) ?(subst=[]) ctx term =
+ let module C = Cic in
+ let t = whd ~delta ~subst ctx term in
+ let aux = normalize ~delta ~subst in
+ let decl name t = Some (name, C.Decl t) in
+ let def name t = Some (name, C.Def (t,None)) in
+ match t with
+ | C.Rel n -> t
+ | C.Var (uri,exp_named_subst) ->
+ C.Var (uri, List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
+ | C.Meta (i,l) ->
+ C.Meta (i,List.map (function Some t -> Some (aux ctx t) | None -> None) l)
+ | C.Sort _ -> t
+ | C.Implicit _ -> t
+ | C.Cast (te,ty) -> C.Cast (aux ctx te, aux ctx ty)
+ | C.Prod (n,s,t) ->
+ let s' = aux ctx s in
+ C.Prod (n, s', aux ((decl n s')::ctx) t)
+ | C.Lambda (n,s,t) ->
+ let s' = aux ctx s in
+ C.Lambda (n, s', aux ((decl n s')::ctx) t)
+ | C.LetIn (n,s,t) ->
+ (* the term is already in weak head normal form *)
+ assert false
+ | C.Appl (h::l) -> C.Appl (h::(List.map (aux ctx) l))
+ | C.Appl [] -> assert false
+ | C.Const (uri,exp_named_subst) ->
+ C.Const (uri, List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
+ | C.MutInd (uri,typeno,exp_named_subst) ->
+ C.MutInd (uri,typeno, List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
+ | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
+ C.MutConstruct (uri, typeno, consno,
+ List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
+ | C.MutCase (sp,i,outt,t,pl) ->
+ C.MutCase (sp,i, aux ctx outt, aux ctx t, List.map (aux ctx) pl)
+(*CSC: to be completed, I suppose *)
+ | C.Fix _ -> t
+ | C.CoFix _ -> t
+
+let normalize ?delta ?subst ctx term =
+(* prerr_endline ("NORMALIZE:" ^ CicPp.ppterm term); *)
+ let t = normalize ?delta ?subst ctx term in
+(* prerr_endline ("NORMALIZED:" ^ CicPp.ppterm t); *)
+ t
+
+
+(* performs an head beta/cast reduction *)
+let rec head_beta_reduce =
+ function
+ (Cic.Appl (Cic.Lambda (_,_,t)::he'::tl')) ->
+ let he'' = CicSubstitution.subst he' t in
+ if tl' = [] then
+ he''
+ else
+ let he''' =
+ match he'' with
+ Cic.Appl l -> Cic.Appl (l@tl')
+ | _ -> Cic.Appl (he''::tl')
+ in
+ head_beta_reduce he'''
+ | Cic.Cast (te,_) -> head_beta_reduce te
+ | t -> t