;;
type ctx =
- | Ce of NCic.hypothesis
+ | Ce of NCic.hypothesis * NCic.obj list
| Fix of Ref.reference * string * NCic.term
let splat mk_pi ctx t =
List.fold_left
- (fun t c ->
+ (fun (t,l) c ->
match c with
- | 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 (_,name,ty) when mk_pi -> NCic.Prod (name, ty, t)
- | Fix (_,name,ty) -> NCic.Lambda (name,ty,t))
- t ctx
+ | Ce ((name, NCic.Def (bo,ty)),l') -> NCic.LetIn (name, ty, bo, t),l@l'
+ | Ce ((name, NCic.Decl ty),l') when mk_pi -> NCic.Prod (name, ty, t),l@l'
+ | Ce ((name, NCic.Decl ty),l') -> NCic.Lambda (name, ty, t),l@l'
+ | Fix (_,name,ty) when mk_pi -> NCic.Prod (name, ty, t),l
+ | Fix (_,name,ty) -> NCic.Lambda (name,ty,t),l)
+ (t,[]) ctx
;;
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
+ | _ as l ->
+ let only_decl =
+ List.filter
+ (function Ce ((_, NCic.Decl _),_) | Fix _ -> true | _ -> false) l
+ in
+ acc, List.length l, List.length only_decl, 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
+ let bound, free, _, primo_ce_dopo_fix = context_tassonomy ctx in
if free = 0 then t
else
let rec aux = function
| 0 -> []
| 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)
+ match List.nth ctx (n+bound) with
+ | Fix (refe, _, _) when (n+bound) < primo_ce_dopo_fix ->
+ NCic.Const refe :: aux (n-1)
+ | Fix _ | Ce ((_, NCic.Decl _),_) -> NCic.Rel (n+bound)::aux (n-1)
+ | Ce ((_, NCic.Def _),_) -> aux (n-1)
in
NCic.Appl (t:: aux free)
;;
let splat_args ctx t n_fix =
- let bound, free, primo_ce_dopo_fix = context_tassonomy ctx in
+ 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
+ | Ce ((_, NCic.Decl _),_) when n <= bound -> NCic.Rel n:: aux (n-1)
| 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)
+ splat_args_for_rel ctx (NCic.Const refe):: aux (n-1)
+ | Fix _ | Ce ((_, NCic.Decl _),_) -> NCic.Rel (n - n_fix):: aux (n-1)
+ | Ce ((_, NCic.Def _),_) -> aux (n - 1)
+ )
in
NCic.Appl (t:: aux (List.length ctx))
;;
match n, CicReduction.whd context outsort with
0, Cic.Prod _ -> raise Nothing_to_do
| 0, _ ->
- let ty = Cic.MutInd (curi,tyno,ens) in
+ let irl = List.rev irl in
+ let ty = CicSubstitution.lift rightno (Cic.MutInd (curi,tyno,ens)) in
let ty =
if args = [] && irl = [] then ty
else
(*prerr_endline (CicPp.ppterm outty ^ " <==> " ^ CicPp.ppterm outty');*)
;;
+let fix_outtype t =
+ let module C = Cic in
+ let rec aux context =
+ function
+ C.Rel _ as t -> t
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function i,t -> i, (aux context t)) exp_named_subst in
+ C.Var (uri,exp_named_subst')
+ | C.Implicit _
+ | C.Meta _ -> assert false
+ | C.Sort _ as t -> t
+ | C.Cast (v,t) -> C.Cast (aux context v, aux context t)
+ | C.Prod (n,s,t) ->
+ C.Prod (n, aux context s, aux ((Some (n, C.Decl s))::context) t)
+ | C.Lambda (n,s,t) ->
+ C.Lambda (n, aux context s, aux ((Some (n, C.Decl s))::context) t)
+ | C.LetIn (n,s,ty,t) ->
+ C.LetIn
+ (n, aux context s, aux context ty,
+ aux ((Some (n, C.Def(s,ty)))::context) t)
+ | C.Appl l -> C.Appl (List.map (aux context) l)
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function i,t -> i, (aux context t)) exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,tyno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function i,t -> i, (aux context t)) exp_named_subst
+ in
+ C.MutInd (uri, tyno, exp_named_subst')
+ | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function i,t -> i, (aux context t)) exp_named_subst
+ in
+ C.MutConstruct (uri, tyno, consno, exp_named_subst')
+ | C.MutCase (uri, tyno, outty, term, patterns) ->
+ let outty = fix_outty uri tyno term context outty in
+ C.MutCase (uri, tyno, aux context outty,
+ aux context term, List.map (aux context) patterns)
+ | C.Fix (funno, funs) ->
+ let tys,_ =
+ List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ ((Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))))::types,
+ len+1
+ ) ([],0) funs
+ in
+ C.Fix (funno,
+ List.map
+ (fun (name, indidx, ty, bo) ->
+ (name, indidx, aux context ty, aux (tys@context) bo)
+ ) funs
+ )
+ | C.CoFix (funno, funs) ->
+ let tys,_ =
+ List.fold_left
+ (fun (types,len) (n,ty,_) ->
+ ((Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))))::types,
+ len+1
+ ) ([],0) funs
+ in
+ C.CoFix (funno,
+ List.map
+ (fun (name, ty, bo) ->
+ (name, aux context ty, aux (tys@context) bo)
+ ) funs
+ )
+ in
+ aux [] t
+;;
+
+let get_fresh,reset_seed =
+ let seed = ref 0 in
+ (function () ->
+ incr seed;
+ string_of_int !seed),
+ (function () -> seed := 0)
+;;
+
(* 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) ->
+ (* k=true if we are converting a term to be pushed in a ctx or if we are
+ converting the type of a fix;
+ k=false if we are converting a term to be put in the body of a fix;
+ in the latter case, we must permute Rels since the Fix abstraction will
+ preceed its lefts parameters; in the former case, there is nothing to
+ permute *)
+ let rec aux k octx (ctx : ctx list) n_fix uri = function
+ | Cic.CoFix (cofixno, fl) ->
let buri =
UriManager.uri_of_string
(UriManager.buri_of_uri uri^"/"^
- UriManager.name_of_uri uri ^ string_of_int (List.length ctx)^".con")
+ UriManager.name_of_uri uri ^ "___" ^ get_fresh () ^ ".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
+ (fun (name,ty,_) (bctx, fixpoints, tys, idx) ->
+ let ty, fixpoints_ty = aux true 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)
+ Fix (r,name,ty) :: bctx, fixpoints_ty @ fixpoints,ty::tys,idx+1)
fl ([], [], [], 0)
in
let bctx = bctx @ ctx in
let fl, fixpoints =
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_bo @ fixpoints)
+ let bo, fixpoints_bo = aux false boctx bctx n_fl buri bo in
+ let splty,fixpoints_splty = splat true ctx ty in
+ let splbo,fixpoints_splbo = splat false ctx bo in
+ (([],name,~-1,splty,splbo)::l),
+ fixpoints_bo @ fixpoints_splty @ fixpoints_splbo @ fixpoints)
fl tys ([],fixpoints_tys)
in
let obj =
NCic.Fixpoint (false, fl, (`Generated, `Definition))
in
splat_args ctx
- (NCic.Const (Ref.reference_of_ouri buri (Ref.CoFix k)))
+ (NCic.Const (Ref.reference_of_ouri buri (Ref.CoFix cofixno)))
n_fix,
fixpoints @ [obj]
- | Cic.Fix (k, fl) ->
+ | Cic.Fix (fixno, fl) ->
let buri =
UriManager.uri_of_string
(UriManager.buri_of_uri uri^"/"^
- UriManager.name_of_uri uri ^ string_of_int (List.length ctx)^".con")
+ UriManager.name_of_uri uri ^ "___" ^ get_fresh () ^ ".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 ty, fixpoints_ty = aux true 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 _, _, free_decls, _ = 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)
+ Fix (Ref.reference_of_ouri buri
+ (Ref.Fix (idx,recno+free_decls)),name,ty)
| _ -> assert false) bad_bctx @ ctx
in
let n_fl = List.length fl in
(Some (Cic.Name n,(Cic.Decl (CicSubstitution.lift len ty)))::types,
len+1)) (octx,0) fl
in
- let rno_k = ref 0 in
+ let rno_fixno = 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_bo @ fixpoints,idx+1)
+ let bo, fixpoints_bo = aux false boctx bctx n_fl buri bo in
+ let splty,fixpoints_splty = splat true ctx ty in
+ let splbo,fixpoints_splbo = splat false ctx bo in
+ let rno = rno + free_decls in
+ if idx = fixno then rno_fixno := rno;
+ (([],name,rno,splty,splbo)::l),
+ fixpoints_bo@fixpoints_splty@fixpoints_splbo@fixpoints,idx+1)
fl tys ([],fixpoints_tys,0)
in
let obj =
in
splat_args ctx
(NCic.Const
- (Ref.reference_of_ouri buri (Ref.Fix (k,!rno_k))))
+ (Ref.reference_of_ouri buri (Ref.Fix (fixno,!rno_fixno))))
n_fix,
fixpoints @ [obj]
| Cic.Rel n ->
- let bound, _, primo_ce_dopo_fix = context_tassonomy ctx in
+ 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), [])
+ | Fix _ when n <= bound -> assert false
+ | Fix _ | Ce _ when k = true -> NCic.Rel n, []
+ | Fix _ | 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 s, fixpoints_s = aux k octx ctx n_fix uri s in
+ let s', fixpoints_s' = aux true octx ctx n_fix uri old_s in
+ let ctx = Ce ((cn_to_s name, NCic.Decl s'),fixpoints_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
+ let t, fixpoints_t = aux k octx ctx n_fix uri t in
NCic.Lambda (cn_to_s name, s, t), fixpoints_s @ fixpoints_t
| Cic.Prod (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 s, fixpoints_s = aux k octx ctx n_fix uri s in
+ let s', fixpoints_s' = aux true octx ctx n_fix uri old_s in
+ let ctx = Ce ((cn_to_s name, NCic.Decl s'),fixpoints_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
+ let t, fixpoints_t = aux k octx ctx n_fix uri t in
NCic.Prod (cn_to_s name, s, t), fixpoints_s @ fixpoints_t
| 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 te, fixpoints_s = aux k octx ctx n_fix uri te in
+ let te', fixpoints_s' = aux true octx ctx n_fix uri old_te in
+ let ty, fixpoints_ty = aux k octx ctx n_fix uri ty in
+ let ty', fixpoints_ty' = aux true octx ctx n_fix uri old_ty in
+ let fixpoints' = fixpoints_s' @ fixpoints_ty' in
+ let ctx = Ce ((cn_to_s name, NCic.Def (te', ty')),fixpoints') :: 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
+ let t, fixpoints_t = aux k octx ctx n_fix uri t in
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
+ let t, fixpoints_t = aux k octx ctx n_fix uri t in
+ let ty, fixpoints_ty = aux k 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.CProp -> NCic.Sort NCic.CProp,[]
let l, fixpoints =
List.fold_right
(fun t (l,acc) ->
- let t, fixpoints = aux octx ctx n_fix uri t in
+ let t, fixpoints = aux k octx ctx n_fix uri t in
(t::l,fixpoints@acc))
l ([],[])
in
| (NCic.Appl l1)::l2 -> NCic.Appl (l1@l2), fixpoints
| _ -> NCic.Appl l, fixpoints)
| Cic.Const (curi, ens) ->
- aux_ens octx ctx n_fix uri ens
+ aux_ens k curi octx ctx n_fix uri ens
(match fst(CicEnvironment.get_obj CicUniv.oblivion_ugraph curi) with
| Cic.Constant (_,Some _,_,_,_) ->
NCic.Const (Ref.reference_of_ouri curi Ref.Def)
NCic.Const (Ref.reference_of_ouri curi Ref.Decl)
| _ -> assert false)
| Cic.MutInd (curi, tyno, ens) ->
- aux_ens octx ctx n_fix uri ens
+ aux_ens k curi octx ctx n_fix uri ens
(NCic.Const (Ref.reference_of_ouri curi (Ref.Ind tyno)))
| Cic.MutConstruct (curi, tyno, consno, ens) ->
- aux_ens octx ctx n_fix uri ens
+ aux_ens k curi octx ctx n_fix uri ens
(NCic.Const (Ref.reference_of_ouri curi (Ref.Con (tyno,consno))))
+ | Cic.Var (curi, ens) ->
+ (match fst (CicEnvironment.get_obj CicUniv.oblivion_ugraph curi) with
+ Cic.Variable (_,Some bo,_,_,_) ->
+ aux k octx ctx n_fix uri (CicSubstitution.subst_vars ens bo)
+ | _ -> assert false)
| Cic.MutCase (curi, tyno, outty, t, branches) ->
- let outty = fix_outty curi tyno t octx outty in
let r = Ref.reference_of_ouri curi (Ref.Ind tyno) in
- let outty, fixpoints_outty = aux octx ctx n_fix uri outty in
- let t, fixpoints_t = aux octx ctx n_fix uri t in
+ let outty, fixpoints_outty = aux k octx ctx n_fix uri outty in
+ let t, fixpoints_t = aux k octx ctx n_fix uri t in
let branches, fixpoints =
List.fold_right
(fun t (l,acc) ->
- let t, fixpoints = aux octx ctx n_fix uri t in
+ let t, fixpoints = aux k octx ctx n_fix uri t in
(t::l,fixpoints@acc))
branches ([],[])
in
NCic.Match (r,outty,t,branches), fixpoints_outty@fixpoints_t@fixpoints
- | Cic.Implicit _ | Cic.Meta _ | Cic.Var _ -> assert false
- and aux_ens octx ctx n_fix uri ens he =
+ | Cic.Implicit _ | Cic.Meta _ -> assert false
+ and aux_ens k curi octx ctx n_fix uri ens he =
match ens with
[] -> he,[]
| _::_ ->
+ let params =
+ match fst (CicEnvironment.get_obj CicUniv.oblivion_ugraph curi) with
+ Cic.Constant (_,_,_,params,_)
+ | Cic.InductiveDefinition (_,params,_,_) -> params
+ | Cic.Variable _
+ | Cic.CurrentProof _ -> assert false
+ in
let ens,objs =
List.fold_right
- (fun (_,t) (l,objs) ->
- let t,o = aux octx ctx n_fix uri t in
- t::l, o@objs
- ) ens ([],[])
+ (fun luri (l,objs) ->
+ match fst (CicEnvironment.get_obj CicUniv.oblivion_ugraph luri) with
+ Cic.Variable (_,Some _,_,_,_) -> l, objs
+ | Cic.Variable (_,None,_,_,_) ->
+ let t = List.assoc luri ens in
+ let t,o = aux k octx ctx n_fix uri t in
+ t::l, o@objs
+ | _ -> assert false
+ ) params ([],[])
in
NCic.Appl (he::ens),objs
in
- aux [] [] 0 uri t
+ aux false [] [] 0 uri t
;;
let cook mode vars t =
- let t = CicSubstitution.lift (List.length vars) t in
- snd (List.fold_right
- (fun uri (n,t) ->
- let t = CicSubstitution.subst_vars [uri,Cic.Rel 1] t in
+ let t = fix_outtype t in
+ let varsno = List.length vars in
+ let t = CicSubstitution.lift varsno t in
+ let rec aux n acc l =
+ let subst =
+ snd(List.fold_left (fun (i,res) uri -> i+1,(uri,Cic.Rel i)::res) (1,[]) acc)
+ in
+ match l with
+ [] -> CicSubstitution.subst_vars subst t
+ | uri::uris ->
let bo,ty =
match fst (CicEnvironment.get_obj CicUniv.oblivion_ugraph uri) with
- Cic.Variable (_,bo,ty,_,_) -> bo,ty
+ Cic.Variable (_,bo,ty,_,_) ->
+ HExtlib.map_option fix_outtype bo, fix_outtype ty
| _ -> assert false in
+ let ty = CicSubstitution.subst_vars subst ty in
+ let bo = HExtlib.map_option (CicSubstitution.subst_vars subst) bo in
let id = Cic.Name (UriManager.name_of_uri uri) in
- let t =
+ let t = aux (n-1) (uri::acc) uris in
match bo,ty,mode with
None,ty,`Lambda -> Cic.Lambda (id,ty,t)
| None,ty,`Pi -> Cic.Prod (id,ty,t)
| Some bo,ty,_ -> Cic.LetIn (id,bo,ty,t)
- in
- n+1,t
- ) vars (1,t))
+ in
+ aux varsno [] vars
;;
let convert_obj_aux uri = function
;;
let convert_obj uri obj =
+ reset_seed ();
let o, fixpoints = convert_obj_aux uri obj in
let obj = NUri.nuri_of_ouri uri,max_int, [], [], o in
fixpoints @ [obj]
projects / helm.git / blobdiff