--- /dev/null
+(* Copyright (C) 2000, HELM Team.
+ *
+ * This file is part of HELM, an Hypertextual, Electronic
+ * Library of Mathematics, developed at the Computer Science
+ * Department, University of Bologna, Italy.
+ *
+ * HELM is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * HELM is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with HELM; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA 02111-1307, USA.
+ *
+ * For details, see the HELM World-Wide-Web page,
+ * http://cs.unibo.it/helm/.
+ *)
+
+(* $Id$ *)
+
+exception ReferenceToNonVariable;;
+
+let prerr_endline _ = ();;
+
+(*
+let rec fix_lambdas_wrt_type ty te =
+ let module C = Cic in
+ let module S = CicSubstitution in
+(* prerr_endline ("entering fix_lambdas: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm te); *)
+ match ty with
+ C.Prod (_,_,ty') ->
+ (match CicReduction.whd [] te with
+ C.Lambda (n,s,te') ->
+ C.Lambda (n,s,fix_lambdas_wrt_type ty' te')
+ | t ->
+ let rec get_sources =
+ function
+ C.Prod (_,s,ty) -> s::(get_sources ty)
+ | _ -> [] in
+ let sources = get_sources ty in
+ let no_sources = List.length sources in
+ let rec mk_rels n shift =
+ if n = 0 then []
+ else (C.Rel (n + shift))::(mk_rels (n - 1) shift) in
+ let t' = S.lift no_sources t in
+ let t2 =
+ match t' with
+ C.Appl l ->
+ C.LetIn
+ (C.Name "w",t',C.Appl ((C.Rel 1)::(mk_rels no_sources 1)))
+ | _ ->
+ C.Appl (t'::(mk_rels no_sources 0)) in
+ List.fold_right
+ (fun source t -> C.Lambda (C.Name "y",source,t))
+ sources t2)
+ | _ -> te
+;; *)
+
+let rec fix_lambdas_wrt_type ty te =
+ let module C = Cic in
+ let module S = CicSubstitution in
+(* prerr_endline ("entering fix_lambdas: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm te); *)
+ match ty,te with
+ C.Prod (_,_,ty'), C.Lambda (n,s,te') ->
+ C.Lambda (n,s,fix_lambdas_wrt_type ty' te')
+ | C.Prod (_,s,ty'), t ->
+ let rec get_sources =
+ function
+ C.Prod (_,s,ty) -> s::(get_sources ty)
+ | _ -> [] in
+ let sources = get_sources ty in
+ let no_sources = List.length sources in
+ let rec mk_rels n shift =
+ if n = 0 then []
+ else (C.Rel (n + shift))::(mk_rels (n - 1) shift) in
+ let t' = S.lift no_sources t in
+ let t2 =
+ match t' with
+ C.Appl l ->
+ C.LetIn (C.Name "w",t',assert false,
+ C.Appl ((C.Rel 1)::(mk_rels no_sources 1)))
+ | _ -> C.Appl (t'::(mk_rels no_sources 0)) in
+ List.fold_right
+ (fun source t -> C.Lambda (C.Name "y",CicReduction.whd [] source,t)) sources t2
+ | _, _ -> te
+;;
+
+(*
+let rec fix_lambdas_wrt_type ty te =
+ let module C = Cic in
+ let module S = CicSubstitution in
+(* prerr_endline ("entering fix_lambdas: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm te); *)
+ match ty,te with
+ C.Prod (_,_,ty'), C.Lambda (n,s,te') ->
+ C.Lambda (n,s,fix_lambdas_wrt_type ty' te')
+ | C.Prod (_,s,ty'), ((C.Appl (C.Const _ ::_)) as t) ->
+ (* const have a fixed arity *)
+ (* prerr_endline ("******** fl - eta expansion 0: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm te); *)
+ let t' = S.lift 1 t in
+ C.Lambda (C.Name "x",s,
+ C.LetIn
+ (C.Name "H", fix_lambdas_wrt_type ty' t',
+ C.Appl [C.Rel 1;C.Rel 2]))
+ | C.Prod (_,s,ty'), C.Appl l ->
+ (* prerr_endline ("******** fl - eta expansion 1: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm te); *)
+ let l' = List.map (S.lift 1) l in
+ C.Lambda (C.Name "x",s,
+ fix_lambdas_wrt_type ty' (C.Appl (l'@[C.Rel 1])))
+ | C.Prod (_,s,ty'), _ ->
+ (* prerr_endline ("******** fl - eta expansion 2: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm te); *)
+ flush stderr ;
+ let te' = S.lift 1 te in
+ C.Lambda (C.Name "x",s,
+ fix_lambdas_wrt_type ty' (C.Appl [te';C.Rel 1]))
+ | _, _ -> te
+;;*)
+
+let fix_according_to_type ty hd tl =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ let rec count_prods =
+ function
+ C.Prod (_,_,t) -> 1 + (count_prods t)
+ | _ -> 0 in
+ let expected_arity = count_prods ty in
+ let rec aux n ty tl res =
+ if n = 0 then
+ (match tl with
+ [] ->
+ (match res with
+ [] -> assert false
+ | [res] -> res
+ | _ -> C.Appl res)
+ | _ ->
+ match res with
+ [] -> assert false
+ | [a] -> C.Appl (a::tl)
+ | _ ->
+ (* prerr_endline ("******* too many args: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm (C.Appl res)); *)
+ C.LetIn
+ (C.Name "H",
+ C.Appl res,
+ assert false,
+ C.Appl (C.Rel 1::(List.map (S.lift 1) tl))))
+ else
+ let name,source,target =
+ (match ty with
+ C.Prod (C.Name _ as n,s,t) -> n,s,t
+ | C.Prod (C.Anonymous, s,t) -> C.Name "z",s,t
+ | _ -> (* prods number may only increase for substitution *)
+ assert false) in
+ match tl with
+ [] ->
+ (* prerr_endline ("******* too few args: type=" ^ CicPp.ppterm ty ^ "term=" ^ CicPp.ppterm (C.Appl res)); *)
+ let res' = List.map (S.lift 1) res in
+ C.Lambda
+ (name, source, aux (n-1) target [] (res'@[C.Rel 1]))
+ | hd::tl' ->
+ let hd' = fix_lambdas_wrt_type source hd in
+ (* (prerr_endline ("++++++prima :" ^(CicPp.ppterm hd));
+ prerr_endline ("++++++dopo :" ^(CicPp.ppterm hd'))); *)
+ aux (n-1) (S.subst hd' target) tl' (res@[hd']) in
+ aux expected_arity ty tl [hd]
+;;
+
+let eta_fix metasenv context t =
+ let rec eta_fix' context t =
+ (* prerr_endline ("entering aux with: term=" ^ CicPp.ppterm t);
+ flush stderr ; *)
+ let module C = Cic in
+ let module S = CicSubstitution in
+ match t with
+ C.Rel n -> C.Rel n
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' = fix_exp_named_subst context exp_named_subst in
+ C.Var (uri,exp_named_subst')
+ | C.Meta (n,l) ->
+ let (_,canonical_context,_) = CicUtil.lookup_meta n metasenv in
+ let l' =
+ List.map2
+ (fun ct t ->
+ match (ct, t) with
+ None, _ -> None
+ | _, Some t -> Some (eta_fix' context t)
+ | Some _, None -> assert false (* due to typing rules *))
+ canonical_context l
+ in
+ C.Meta (n,l')
+ | C.Sort s -> C.Sort s
+ | C.Implicit _ as t -> t
+ | C.Cast (v,t) -> C.Cast (eta_fix' context v, eta_fix' context t)
+ | C.Prod (n,s,t) ->
+ C.Prod
+ (n, eta_fix' context s, eta_fix' ((Some (n,(C.Decl s)))::context) t)
+ | C.Lambda (n,s,t) ->
+ C.Lambda
+ (n, eta_fix' context s, eta_fix' ((Some (n,(C.Decl s)))::context) t)
+ | C.LetIn (n,s,ty,t) ->
+ C.LetIn
+ (n,eta_fix' context s,eta_fix' context ty,
+ eta_fix' ((Some (n,(C.Def (s,ty))))::context) t)
+ | C.Appl [] -> assert false
+ | C.Appl (he::tl) ->
+ let tl' = List.map (eta_fix' context) tl in
+ let ty,_ =
+ CicTypeChecker.type_of_aux' metasenv context he
+ CicUniv.empty_ugraph
+ in
+ fix_according_to_type ty (eta_fix' context he) tl'
+(*
+ C.Const(uri,exp_named_subst)::l'' ->
+ let constant_type =
+ (match CicEnvironment.get_obj uri with
+ C.Constant (_,_,ty,_) -> ty
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof (_,_,_,_,params) -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ ) in
+ fix_according_to_type
+ constant_type (C.Const(uri,exp_named_subst)) l''
+ | _ -> C.Appl l' *)
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' = fix_exp_named_subst context exp_named_subst in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,tyno,exp_named_subst) ->
+ let exp_named_subst' = fix_exp_named_subst context exp_named_subst in
+ C.MutInd (uri, tyno, exp_named_subst')
+ | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
+ let exp_named_subst' = fix_exp_named_subst context exp_named_subst in
+ C.MutConstruct (uri, tyno, consno, exp_named_subst')
+ | C.MutCase (uri, tyno, outty, term, patterns) ->
+ let outty' = eta_fix' context outty in
+ let term' = eta_fix' context term in
+ let patterns' = List.map (eta_fix' context) patterns in
+ let inductive_types,noparams =
+ let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ (match o with
+ Cic.Constant _ -> assert false
+ | Cic.Variable _ -> assert false
+ | Cic.CurrentProof _ -> assert false
+ | Cic.InductiveDefinition (l,_,n,_) -> l,n
+ ) in
+ let (_,_,_,constructors) = List.nth inductive_types tyno in
+ let constructor_types =
+ let rec clean_up t =
+ function
+ [] -> t
+ | a::tl ->
+ (match t with
+ Cic.Prod (_,_,t') -> clean_up (S.subst a t') tl
+ | _ -> assert false) in
+ if noparams = 0 then
+ List.map (fun (_,t) -> t) constructors
+ else
+ let term_type,_ =
+ CicTypeChecker.type_of_aux' metasenv context term
+ CicUniv.empty_ugraph
+ in
+ (match term_type with
+ C.Appl (hd::params) ->
+ let rec first_n n l =
+ if n = 0 then []
+ else
+ (match l with
+ a::tl -> a::(first_n (n-1) tl)
+ | _ -> assert false) in
+ List.map
+ (fun (_,t) ->
+ clean_up t (first_n noparams params)) constructors
+ | _ -> prerr_endline ("QUA"); assert false) in
+ let patterns2 =
+ List.map2 fix_lambdas_wrt_type
+ constructor_types patterns' in
+ C.MutCase (uri, tyno, outty',term',patterns2)
+ | C.Fix (funno, funs) ->
+ let fun_types =
+ List.map (fun (n,_,ty,_) -> Some (C.Name n,(Cic.Decl ty))) funs in
+ C.Fix (funno,
+ List.map
+ (fun (name, no, ty, bo) ->
+ (name, no, eta_fix' context ty, eta_fix' (fun_types@context) bo))
+ funs)
+ | C.CoFix (funno, funs) ->
+ let fun_types =
+ List.map (fun (n,ty,_) -> Some (C.Name n,(Cic.Decl ty))) funs in
+ C.CoFix (funno,
+ List.map
+ (fun (name, ty, bo) ->
+ (name, eta_fix' context ty, eta_fix' (fun_types@context) bo)) funs)
+ and fix_exp_named_subst context exp_named_subst =
+ List.rev
+ (List.fold_left
+ (fun newsubst (uri,t) ->
+ let t' = eta_fix' context t in
+ let ty =
+ let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ match o with
+ Cic.Variable (_,_,ty,_,_) ->
+ CicSubstitution.subst_vars newsubst ty
+ | _ -> raise ReferenceToNonVariable
+ in
+ let t'' = fix_according_to_type ty t' [] in
+ (uri,t'')::newsubst
+ ) [] exp_named_subst)
+ in
+ eta_fix' context t
+;;
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