-let convert_term = Obj.magic;;
+module Ref = NReference
let cn_to_s = function
| Cic.Anonymous -> "_"
| Cic.Name s -> s
;;
-type ctx = Ce of NCic.hypothesis | Fix of int * int
+type ctx =
+ | Ce of NCic.hypothesis
+ | Fix of Ref.reference * string * NCic.term
let splat mk_pi ctx t =
List.fold_left
| Ce (name, NCic.Def (bo,ty)) -> NCic.LetIn (name, ty, bo, t)
| Ce (name, NCic.Decl ty) when mk_pi -> NCic.Prod (name, ty, t)
| Ce (name, NCic.Decl ty) -> NCic.Lambda (name, ty, t)
- | Fix _ -> t)
+ | Fix (_,name,ty) when mk_pi -> NCic.Prod (name, ty, t)
+ | Fix (_,name,ty) -> NCic.Lambda (name,ty,t))
t ctx
;;
-let splat_args ctx t =
- let n_args =
- List.length (List.filter (function Ce _ -> true | _ -> false) ctx)
- in
- if n_args = 0 then t
+let context_tassonomy ctx =
+ let rec split inner acc acc1 = function
+ | Ce _ :: tl when inner -> split inner (acc+1) (acc1+1) tl
+ | Fix _ ::tl -> split false acc (acc1+1) tl
+ | _ as l -> acc, List.length l, acc1
+ in
+ split true 0 1 ctx
+;;
+
+let splat_args_for_rel ctx t =
+ let bound, free, primo_ce_dopo_fix = context_tassonomy ctx in
+ if free = 0 then t
else
let rec aux = function
| 0 -> []
- | n -> aux (n-1) @ [NCic.Rel n]
+ | n ->
+ (match List.nth ctx (n+bound) with
+ | Fix (refe, _, _) when (n+bound) < primo_ce_dopo_fix -> NCic.Const refe
+ | Fix _ | Ce _ -> NCic.Rel (n+bound)) :: aux (n-1)
in
- NCic.Appl (t:: aux n_args)
+ NCic.Appl (t:: aux free)
+;;
+
+let splat_args ctx t n_fix =
+ let bound, free, primo_ce_dopo_fix = context_tassonomy ctx in
+ if ctx = [] then t
+ else
+ let rec aux = function
+ | 0 -> []
+ | n ->
+ (match List.nth ctx (n-1) with
+ | Ce _ when n <= bound -> NCic.Rel n
+ | Fix (refe, _, _) when n < primo_ce_dopo_fix ->
+ splat_args_for_rel ctx (NCic.Const refe)
+ | Fix _ | Ce _ -> NCic.Rel (n - n_fix)
+ ) :: aux (n-1)
+ in
+ NCic.Appl (t:: aux (List.length ctx))
;;
+(* we are lambda-lifting also variables that do not occur *)
+(* ctx does not distinguish successive blocks of cofix, since there may be no
+ * lambda separating them *)
let convert_term uri t =
let rec aux octx (ctx : ctx list) n_fix uri = function
| Cic.CoFix (k, fl) ->
- let idx = ref ~-1 in
- let bctx =
- List.map (fun (_,_,_) ->
- incr idx; Fix (~-1,!idx)) fl @ ctx
- in
let buri =
UriManager.uri_of_string
- (UriManager.string_of_uri uri^string_of_int (List.length ctx)^".con")
+ (UriManager.buri_of_uri uri^"/"^
+ UriManager.name_of_uri uri ^ string_of_int (List.length ctx)^".con")
in
+ let bctx, fixpoints_tys, tys, _ =
+ List.fold_right
+ (fun (name,ty,_) (ctx, fixpoints, tys, idx) ->
+ let ty, fixpoints_ty = aux octx ctx n_fix uri ty in
+ let r = Ref.reference_of_ouri buri(Ref.CoFix idx) in
+ Fix (r,name,ty) :: ctx, fixpoints_ty @ fixpoints,ty::tys,idx+1)
+ fl ([], [], [], 0)
+ in
+ let bctx = bctx @ ctx in
let n_fl = List.length fl in
let boctx,_ =
List.fold_left
len+1)) (octx,0) fl
in
let fl, fixpoints =
- List.fold_right
- (fun (name,ty,bo) (l,fixpoints) ->
- let ty, fixpoints_ty = aux octx ctx n_fix uri ty in
- let bo, fixpoints_bo = aux boctx bctx (n_fix + n_fl) buri bo in
+ List.fold_right2
+ (fun (name,_,bo) ty (l,fixpoints) ->
+ let bo, fixpoints_bo = aux boctx bctx n_fl buri bo in
(([],name,~-1,splat true ctx ty, splat false ctx bo)::l),
- fixpoints_ty @ fixpoints_bo @ fixpoints)
- fl ([],[])
+ fixpoints_bo @ fixpoints)
+ fl tys ([],fixpoints_tys)
in
let obj =
- NUri.nuri_of_ouri uri,0,[],[],
+ NUri.nuri_of_ouri buri,0,[],[],
NCic.Fixpoint (false, fl, (`Generated, `Definition))
in
- NCic.Const (NReference.reference_of_ouri uri (NReference.CoFix (k))),
- obj::fixpoints
+ splat_args ctx
+ (NCic.Const (Ref.reference_of_ouri buri (Ref.CoFix k)))
+ n_fix,
+ fixpoints @ [obj]
| Cic.Fix (k, fl) ->
- let idx = ref ~-1 in
- let rno = ref 0 in
- let bctx =
- List.map (fun (_,recno,_,_) ->
- incr idx; if !idx = k then rno := recno;Fix (recno,!idx)) fl @ ctx
- in
let buri =
UriManager.uri_of_string
- (UriManager.string_of_uri uri^string_of_int (List.length ctx)^".con")
+ (UriManager.buri_of_uri uri^"/"^
+ UriManager.name_of_uri uri ^ string_of_int (List.length ctx)^".con")
+ in
+ let bad_bctx, fixpoints_tys, tys, _ =
+ List.fold_right
+ (fun (name,recno,ty,_) (bctx, fixpoints, tys, idx) ->
+ let ty, fixpoints_ty = aux octx ctx n_fix uri ty in
+ let r = (* recno is dummy here, must be lifted by the ctx len *)
+ Ref.reference_of_ouri buri (Ref.Fix (idx,recno))
+ in
+ Fix (r,name,ty) :: bctx, fixpoints_ty@fixpoints,ty::tys,idx+1)
+ fl ([], [], [], 0)
+ in
+ let _, free, _ = context_tassonomy (bad_bctx @ ctx) in
+ let bctx =
+ List.map (function
+ | Fix (Ref.Ref (_,_,Ref.Fix (idx, recno)),name, ty) ->
+ Fix (Ref.reference_of_ouri buri(Ref.Fix (idx,recno+free)),name,ty)
+ | _ -> assert false) bad_bctx @ ctx
in
let n_fl = List.length fl in
let boctx,_ =
(Some (Cic.Name n,(Cic.Decl (CicSubstitution.lift len ty)))::types,
len+1)) (octx,0) fl
in
- let fl, fixpoints =
- List.fold_right
- (fun (name,rno,ty,bo) (l,fixpoints) ->
- let ty, fixpoints_ty = aux octx ctx n_fix uri ty in
- let bo, fixpoints_bo = aux boctx bctx (n_fix + n_fl) buri bo in
+ let rno_k = ref 0 in
+ let fl, fixpoints,_ =
+ List.fold_right2
+ (fun (name,rno,_,bo) ty (l,fixpoints,idx) ->
+ let bo, fixpoints_bo = aux boctx bctx n_fl buri bo in
+ let rno = rno + free in
+ if idx = k then rno_k := rno;
(([],name,rno,splat true ctx ty, splat false ctx bo)::l),
- fixpoints_ty @ fixpoints_bo @ fixpoints)
- fl ([],[])
+ fixpoints_bo @ fixpoints,idx+1)
+ fl tys ([],fixpoints_tys,0)
in
let obj =
- NUri.nuri_of_ouri uri,0,[],[],
+ NUri.nuri_of_ouri buri,0,[],[],
NCic.Fixpoint (true, fl, (`Generated, `Definition))
in
- NCic.Const (NReference.reference_of_ouri uri (NReference.Fix (k,!rno))),
- obj::fixpoints
+ splat_args ctx
+ (NCic.Const
+ (Ref.reference_of_ouri buri (Ref.Fix (k,!rno_k))))
+ n_fix,
+ fixpoints @ [obj]
| Cic.Rel n ->
- (match List.nth ctx n with
- | Ce _ -> NCic.Rel (n-n_fix), []
- | Fix (recno, fixno) ->
- splat_args ctx
- (NCic.Const
- (NReference.reference_of_ouri uri (NReference.Fix (fixno,recno)))),
- [])
+ let bound, _, primo_ce_dopo_fix = context_tassonomy ctx in
+ (match List.nth ctx (n-1) with
+ | Fix (r,_,_) when n < primo_ce_dopo_fix ->
+ splat_args_for_rel ctx (NCic.Const r), []
+ | Ce _ when n <= bound -> NCic.Rel n, []
+ | Fix _ (* BUG 3 fix nested *)
+ | Ce _ -> NCic.Rel (n-n_fix), [])
| Cic.Lambda (name, (s as old_s), t) ->
let s, fixpoints_s = aux octx ctx n_fix uri s in
let ctx = Ce (cn_to_s name, NCic.Decl s) :: ctx in
let octx = Some (name, Cic.Decl old_s) :: octx in
let t, fixpoints_t = aux octx ctx n_fix uri t in
NCic.Prod (cn_to_s name, s, t), fixpoints_s @ fixpoints_t
- | Cic.LetIn (name, (s as old_s), t) ->
- let s, fixpoints_s = aux octx ctx n_fix uri s in
- let old_ty,_ =
- CicTypeChecker.type_of_aux' [] octx old_s CicUniv.oblivion_ugraph
- in
- let ty, fixpoints_ty = aux octx ctx n_fix uri old_ty in
- let ctx = Ce (cn_to_s name, NCic.Def (s, ty)) :: ctx in
- let octx = Some (name, Cic.Def (old_s, Some old_ty)) :: octx in
+ | Cic.LetIn (name, (te as old_te), (ty as old_ty), t) ->
+ let te, fixpoints_s = aux octx ctx n_fix uri te in
+ let ty, fixpoints_ty = aux octx ctx n_fix uri ty in
+ let ctx = Ce (cn_to_s name, NCic.Def (te, ty)) :: ctx in
+ let octx = Some (name, Cic.Def (old_te, old_ty)) :: octx in
let t, fixpoints_t = aux octx ctx n_fix uri t in
- NCic.LetIn (cn_to_s name, ty, s, t),
+ NCic.LetIn (cn_to_s name, ty, te, t),
fixpoints_s @ fixpoints_t @ fixpoints_ty
| Cic.Cast (t,ty) ->
let t, fixpoints_t = aux octx ctx n_fix uri t in
let ty, fixpoints_ty = aux octx ctx n_fix uri ty in
NCic.LetIn ("cast", ty, t, NCic.Rel 1), fixpoints_t @ fixpoints_ty
| Cic.Sort Cic.Prop -> NCic.Sort NCic.Prop,[]
- | Cic.Sort Cic.Set -> NCic.Sort NCic.Set,[]
| Cic.Sort Cic.CProp -> NCic.Sort NCic.CProp,[]
| Cic.Sort (Cic.Type _) -> NCic.Sort (NCic.Type 0),[]
+ | Cic.Sort Cic.Set -> NCic.Sort (NCic.Type 0),[]
(* calculate depth in the univ_graph*)
| Cic.Appl l ->
let l, fixpoints =
(t::l,fixpoints@acc))
l ([],[])
in
- NCic.Appl l, fixpoints
+ (match l with
+ | (NCic.Appl l1)::l2 -> NCic.Appl (l1@l2), fixpoints
+ | _ -> NCic.Appl l, fixpoints)
| Cic.Const (curi, _) ->
- NCic.Const (NReference.reference_of_ouri curi NReference.Def),[]
+ NCic.Const (Ref.reference_of_ouri curi Ref.Def),[]
| Cic.MutInd (curi, tyno, _) ->
- NCic.Const (NReference.reference_of_ouri curi (NReference.Ind tyno)),[]
+ NCic.Const (Ref.reference_of_ouri curi (Ref.Ind tyno)),[]
| Cic.MutConstruct (curi, tyno, consno, _) ->
- NCic.Const (NReference.reference_of_ouri curi
- (NReference.Con (tyno,consno))),[]
+ NCic.Const (Ref.reference_of_ouri curi
+ (Ref.Con (tyno,consno))),[]
| Cic.MutCase (curi, tyno, oty, t, branches) ->
- let r = NReference.reference_of_ouri curi (NReference.Ind tyno) in
+ let r = Ref.reference_of_ouri curi (Ref.Ind tyno) in
let oty, fixpoints_oty = aux octx ctx n_fix uri oty in
let t, fixpoints_t = aux octx ctx n_fix uri t in
let branches, fixpoints =
assert(fixpoints_ty = []);
NCic.Constant ([], name, Some nbo, nty, (`Provided,`Theorem,`Regular)),
fixpoints_bo @ fixpoints_ty
- | Cic.InductiveDefinition (_,_,_,_) -> assert false (*
+ | Cic.InductiveDefinition (itl,_,leftno,_) ->
let ind = let _,x,_,_ = List.hd itl in x in
- let itl =
- List.map
- (fun name, _, ty, cl ->
- [], name, convert_term ty,
- List.map (fun name, ty -> [], name, convert_term ty) cl)
- itl
+ let itl, fix_itl =
+ List.fold_right
+ (fun (name, _, ty, cl) (itl,acc) ->
+ let ty, fix_ty = convert_term uri ty in
+ let cl, fix_cl =
+ List.fold_right
+ (fun (name, ty) (cl,acc) ->
+ let ty, fix_ty = convert_term uri ty in
+ ([], name, ty)::cl, acc @ fix_ty)
+ cl ([],[])
+ in
+ ([], name, ty, cl)::itl, fix_ty @ fix_cl @ acc)
+ itl ([],[])
in
- NCic.Inductive (ind, leftno, itl, (`Provided, `Regular)) *)
+ NCic.Inductive (ind, leftno, itl, (`Provided, `Regular)),
+ fix_itl
| Cic.Variable _
| Cic.CurrentProof _ -> assert false
;;
let convert_obj uri obj =
let o, fixpoints = convert_obj_aux uri obj in
- let obj = NUri.nuri_of_ouri uri,0, [], [], o in
- obj, fixpoints
+ let obj = NUri.nuri_of_ouri uri,max_int, [], [], o in
+ fixpoints @ [obj]
;;