X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_kernel%2FoCic2NCic.ml;h=c1b450e612d627135a6f982dbbb2088d8c12b1cb;hb=46219a352fd586e1f89237effdcb037a6e371969;hp=c815358a5f3831e06fe5f5b3ef0a066c730dcf0a;hpb=a3ba13b9503a2c0dd89b89b489899362d17b3f3a;p=helm.git diff --git a/helm/software/components/ng_kernel/oCic2NCic.ml b/helm/software/components/ng_kernel/oCic2NCic.ml index c815358a5..c1b450e61 100644 --- a/helm/software/components/ng_kernel/oCic2NCic.ml +++ b/helm/software/components/ng_kernel/oCic2NCic.ml @@ -1,2 +1,687 @@ +module Ref = NReference -let convert_obj obj = Obj.magic obj +type ctx = + | Ce of (NCic.hypothesis * NCic.obj list) Lazy.t + | Fix of (Ref.reference * string * NCic.term) Lazy.t + +let strictify = + function + Ce l -> `Ce (Lazy.force l) + | Fix l -> `Fix (Lazy.force l) +;; + +(***** A function to restrict the context of a term getting rid of unsed + variables *******) + +let restrict octx ctx ot = + let odummy = Cic.Implicit None in + let dummy = NCic.Meta (~-1,(0,NCic.Irl 0)) in + let rec aux m acc ot t = + function + [],[] -> (ot,t),acc + | ohe::otl as octx,he::tl -> + if CicTypeChecker.does_not_occur octx 0 1 ot then + aux (m+1) acc (CicSubstitution.subst odummy ot) + (NCicSubstitution.subst dummy t) (otl,tl) + else + (match ohe,strictify he with + None,_ -> assert false + | Some (name,Cic.Decl oty),`Ce ((name', NCic.Decl ty),objs) -> + aux (m+1) ((m+1,objs,None)::acc) (Cic.Lambda (name,oty,ot)) + (NCic.Lambda (name',ty,t)) (otl,tl) + | Some (name,Cic.Decl oty),`Fix (ref,name',ty) -> + aux (m+1) ((m+1,[],Some ref)::acc) (Cic.Lambda (name,oty,ot)) + (NCic.Lambda (name',ty,t)) (otl,tl) + | Some (name,Cic.Def (obo,oty)),`Ce ((name', NCic.Def (bo,ty)),objs) -> + aux (m+1) ((m+1,objs,None)::acc) (Cic.LetIn (name,obo,oty,ot)) + (NCic.LetIn (name',bo,ty,t)) (otl,tl) + | _,_ -> assert false) + | _,_ -> assert false in + let rec split_lambdas_and_letins octx ctx infos (ote,te) = + match infos, ote, te with + ([], _, _) -> octx,ctx,ote + | ((_,objs,None)::tl, Cic.Lambda(name,oso,ota), NCic.Lambda(name',so,ta)) -> + split_lambdas_and_letins ((Some(name,(Cic.Decl oso)))::octx) + (Ce (lazy ((name',NCic.Decl so),objs))::ctx) tl (ota,ta) + | ((_,objs,Some r)::tl,Cic.Lambda(name,oso,ota),NCic.Lambda(name',so,ta)) -> + split_lambdas_and_letins ((Some(name,(Cic.Decl oso)))::octx) + (Fix (lazy (r,name',so))::ctx) tl (ota,ta) + | ((_,objs,None)::tl,Cic.LetIn(name,obo,oty,ota),NCic.LetIn(nam',bo,ty,ta))-> + split_lambdas_and_letins ((Some (name,(Cic.Def (obo,oty))))::octx) + (Ce (lazy ((nam',NCic.Def (bo,ty)),objs))::ctx) tl (ota,ta) + | (_, _, _) -> assert false + in + let long_t,infos = aux 0 [] ot dummy (octx,ctx) in + let clean_octx,clean_ctx,clean_ot= split_lambdas_and_letins [] [] infos long_t + in +(*prerr_endline ("RESTRICT PRIMA: " ^ CicPp.pp ot (List.map (function None -> None | Some (name,_) -> Some name) octx)); +prerr_endline ("RESTRICT DOPO: " ^ CicPp.pp clean_ot (List.map (function None -> None | Some (name,_) -> Some name) clean_octx)); +*) + clean_octx,clean_ctx,clean_ot, List.map (fun (rel,_,_) -> rel) infos +;; + + +(**** The translation itself ****) + +let cn_to_s = function + | Cic.Anonymous -> "_" + | Cic.Name s -> s +;; + +let splat mk_pi ctx t = + List.fold_left + (fun (t,l) c -> + match strictify c with + | `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 -> + let only_decl () = + List.filter + (function + Ce _ as ce -> + (match strictify ce with + `Ce ((_, NCic.Decl _),_) -> true + | _ -> false) + | Fix _ -> true) l + in + acc, List.length l, lazy (List.length (only_decl ())), acc1 + in + split true 0 1 ctx +;; + +let splat_args_for_rel ctx t ?rels n_fix = + let rels = + match rels with + Some rels -> rels + | None -> + let rec mk_irl = function 0 -> [] | n -> n::mk_irl (n - 1) in + mk_irl (List.length ctx) + in + let bound, free, _, primo_ce_dopo_fix = context_tassonomy ctx in + if free = 0 then t + else + let rec aux = function + | n,_ when n = bound + n_fix -> [] + | n,he::tl -> + (match strictify (List.nth ctx (n-1)) with + | `Fix (refe, _, _) when n < primo_ce_dopo_fix -> + NCic.Const refe :: aux (n-1,tl) + | `Fix _ | `Ce ((_, NCic.Decl _),_) -> + NCic.Rel (he - n_fix)::aux(n-1,tl) + | `Ce ((_, NCic.Def _),_) -> aux (n-1,tl)) + | _,_ -> assert false + in + let args = aux (List.length ctx,rels) in + match args with + [] -> t + | _::_ -> NCic.Appl (t::args) +;; + +let splat_args ctx t n_fix rels = + let bound, free, _, primo_ce_dopo_fix = context_tassonomy ctx in + if ctx = [] then t + else + let rec aux = function + | 0,[] -> [] + | n,he::tl -> + (match strictify (List.nth ctx (n-1)) with + | `Ce ((_, NCic.Decl _),_) when n <= bound -> + NCic.Rel he:: aux (n-1,tl) + | `Fix (refe, _, _) when n < primo_ce_dopo_fix -> + splat_args_for_rel ctx (NCic.Const refe) ~rels n_fix :: aux (n-1,tl) + | `Fix _ | `Ce((_, NCic.Decl _),_)-> NCic.Rel (he - n_fix)::aux(n-1,tl) + | `Ce ((_, NCic.Def _),_) -> aux (n - 1,tl) + ) + | _,_ -> assert false + in + NCic.Appl (t:: aux ((List.length ctx,rels))) +;; + +exception Nothing_to_do;; + +let fix_outty curi tyno t context outty = + let leftno,rightno = + match fst (CicEnvironment.get_obj CicUniv.oblivion_ugraph curi) with + Cic.InductiveDefinition (tyl,_,leftno,_) -> + let _,_,arity,_ = List.nth tyl tyno in + let rec count_prods leftno context arity = + match leftno, CicReduction.whd context arity with + 0, Cic.Sort _ -> 0 + | 0, Cic.Prod (name,so,ty) -> + 1 + count_prods 0 (Some (name, Cic.Decl so)::context) ty + | n, Cic.Prod (name,so,ty) -> + count_prods (leftno - 1) (Some (name, Cic.Decl so)::context) ty + | _,_ -> assert false + in +(*prerr_endline (UriManager.string_of_uri curi); +prerr_endline ("LEFTNO: " ^ string_of_int leftno ^ " " ^ CicPp.ppterm arity);*) + leftno, count_prods leftno [] arity + | _ -> assert false in + let ens,args = + let tty,_= CicTypeChecker.type_of_aux' [] context t CicUniv.oblivion_ugraph in + match CicReduction.whd context tty with + Cic.MutInd (_,_,ens) -> ens,[] + | Cic.Appl (Cic.MutInd (_,_,ens)::args) -> + ens,fst (HExtlib.split_nth leftno args) + | _ -> assert false + in + let rec aux n irl context outsort = + match n, CicReduction.whd context outsort with + 0, Cic.Prod _ -> raise Nothing_to_do + | 0, _ -> + 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 + Cic.Appl (ty::(List.map (CicSubstitution.lift rightno) args)@irl) in + let he = CicSubstitution.lift (rightno + 1) outty in + let t = + if irl = [] then he + else Cic.Appl (he::List.map (CicSubstitution.lift 1) irl) + in + Cic.Lambda (Cic.Anonymous, ty, t) + | n, Cic.Prod (name,so,ty) -> + let ty' = + aux (n - 1) (Cic.Rel n::irl) (Some (name, Cic.Decl so)::context) ty + in + Cic.Lambda (name,so,ty') + | _,_ -> assert false + in +(*prerr_endline ("RIGHTNO = " ^ string_of_int rightno ^ " OUTTY = " ^ CicPp.ppterm outty);*) + let outsort = + fst (CicTypeChecker.type_of_aux' [] context outty CicUniv.oblivion_ugraph) + in + try aux rightno [] context outsort + with Nothing_to_do -> outty +(*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) +;; + +exception NotSimilar +let alpha t1 t2 ref ref' = + let rec aux t1 t2 = match t1,t2 with + | NCic.Rel n, NCic.Rel m when n=m -> () + | NCic.Appl l1, NCic.Appl l2 -> List.iter2 aux l1 l2 + | NCic.Lambda (_,s1,t1), NCic.Lambda (_,s2,t2) + | NCic.Prod (_,s1,t1), NCic.Prod (_,s2,t2) -> aux s1 s2; aux t1 t2 + | NCic.LetIn (_,s1,ty1,t1), NCic.LetIn (_,s2,ty2,t2) -> + aux s1 s2; aux ty1 ty2; aux t1 t2 + | NCic.Const (NReference.Ref (_,uu1,xp1)), + NCic.Const (NReference.Ref (_,uu2,xp2)) when + let NReference.Ref (_,u1,_) = ref in + let NReference.Ref (_,u2,_) = ref' in + NUri.eq uu1 u1 && NUri.eq uu2 u2 && xp1 = xp2 + -> () + | NCic.Const r1, NCic.Const r2 when NReference.eq r1 r2 -> () + | NCic.Meta _,NCic.Meta _ -> () + | NCic.Implicit _,NCic.Implicit _ -> () + | NCic.Sort x,NCic.Sort y when x=y -> () + | NCic.Match (_,t1,t11,tl1), NCic.Match (_,t2,t22,tl2) -> + aux t1 t2;aux t11 t22;List.iter2 aux tl1 tl2 + | _-> raise NotSimilar + in + try aux t1 t2; true with NotSimilar -> false +;; + +exception Found of NReference.reference;; +let cache = Hashtbl.create 313;; +let same_obj ref ref' = + function + | (_,_,_,_,NCic.Fixpoint (_,l1,_)), (_,_,_,_,NCic.Fixpoint (_,l2,_)) + when List.for_all2 (fun (_,_,_,ty1,bo1) (_,_,_,ty2,bo2) -> + alpha ty1 ty2 ref ref' && alpha bo1 bo2 ref ref') l1 l2 -> + true + | _ -> false +;; +let find_in_cache name obj ref = + try + List.iter + (function (ref',obj') -> + let recno, fixno = + match ref with + NReference.Ref (_,_,NReference.Fix (fixno,recno)) -> recno,fixno + | _ -> assert false in + let recno',fixno' = + match ref' with + NReference.Ref (_,_,NReference.Fix (fixno',recno)) -> recno,fixno' + | _ -> assert false in + if recno = recno' && fixno = fixno' && same_obj ref ref' (obj,obj') then ( +(* +prerr_endline ("!!!!!!!!!!! CACHE HIT !!!!!!!!!!\n" ^ +NReference.string_of_reference ref ^ "\n" ^ +NReference.string_of_reference ref' ^ "\n"); + *) + raise (Found ref')); +(* +prerr_endline ("CACHE SAME NAME: " ^ NReference.string_of_reference ref ^ " <==> " ^ NReference.string_of_reference ref'); + *) + ) (Hashtbl.find_all cache name); +(* prerr_endline "<<< CACHE MISS >>>"; *) + begin + match obj, ref with + | (_,_,_,_,NCic.Fixpoint (true,fl,_)) , NReference.Ref (x,y,NReference.Fix _) -> + ignore(List.fold_left (fun i (_,name,rno,_,_) -> + let ref = NReference.mk_fix i rno ref in + Hashtbl.add cache name (ref,obj); + i+1 + ) 0 fl) + | _ -> assert false + end; + None + with Found ref -> Some ref +;; + +(* 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 = + (* 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 _ as cofix -> + let octx,ctx,fix,rels = restrict octx ctx cofix in + let cofixno,fl = + match fix with Cic.CoFix (cofixno,fl)->cofixno,fl | _-> assert false in + let buri = + UriManager.uri_of_string + (UriManager.buri_of_uri uri^"/"^ + UriManager.name_of_uri uri ^ "___" ^ get_fresh () ^ ".con") + in + let bctx, fixpoints_tys, tys, _ = + List.fold_right + (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 + bctx @ [Fix (lazy (r,name,ty))], + fixpoints_ty @ fixpoints,ty::tys,idx-1) + fl ([], [], [], List.length fl-1) + in + let bctx = bctx @ ctx in + let n_fl = List.length fl in + let boctx,_ = + List.fold_left + (fun (types,len) (n,ty,_) -> + (Some (Cic.Name n,(Cic.Decl (CicSubstitution.lift len ty)))::types, + len+1)) (octx,0) fl + in + let fl, fixpoints = + List.fold_right2 + (fun (name,_,bo) ty (l,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 = + NUri.nuri_of_ouri buri,0,[],[], + NCic.Fixpoint (false, fl, (`Generated, `Definition)) + in + splat_args ctx + (NCic.Const (Ref.reference_of_ouri buri (Ref.CoFix cofixno))) + n_fix rels, + fixpoints @ [obj] + | Cic.Fix _ as fix -> + let octx,ctx,fix,rels = restrict octx ctx fix in + let fixno,fl = + match fix with Cic.Fix (fixno,fl) -> fixno,fl | _ -> assert false in + let buri = + UriManager.uri_of_string + (UriManager.buri_of_uri uri^"/"^ + 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 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 + bctx @ [Fix (lazy (r,name,ty))], + fixpoints_ty@fixpoints,ty::tys,idx-1) + fl ([], [], [], List.length fl-1) + in + let _, _, free_decls, _ = context_tassonomy (bad_bctx @ ctx) in + let free_decls = Lazy.force free_decls in + let bctx = + List.map (function ce -> match strictify ce with + | `Fix (Ref.Ref (_,_,Ref.Fix (idx, recno)),name, ty) -> + Fix (lazy (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 + let boctx,_ = + List.fold_left + (fun (types,len) (n,_,ty,_) -> + (Some (Cic.Name n,(Cic.Decl (CicSubstitution.lift len ty)))::types, + len+1)) (octx,0) fl + 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 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 = + NUri.nuri_of_ouri buri,max_int,[],[], + NCic.Fixpoint (true, fl, (`Generated, `Definition)) in + let r = Ref.reference_of_ouri buri (Ref.Fix (fixno,!rno_fixno)) in + let obj,r = + let _,name,_,_,_ = List.nth fl fixno in + match find_in_cache name obj r with + Some r' -> [],r' + | None -> [obj],r + in + splat_args ctx (NCic.Const r) n_fix rels, fixpoints @ obj + | Cic.Rel n -> + let bound, _, _, primo_ce_dopo_fix = context_tassonomy ctx in + (match List.nth ctx (n-1) with + | Fix l when n < primo_ce_dopo_fix -> + let r,_,_ = Lazy.force l in + splat_args_for_rel ctx (NCic.Const r) n_fix, [] + | Ce _ when n <= bound -> NCic.Rel n, [] + | 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 k octx ctx n_fix uri s in + let s'_and_fixpoints_s' = lazy (aux true octx ctx n_fix uri old_s) in + let ctx = + Ce (lazy + let s',fixpoints_s' = Lazy.force s'_and_fixpoints_s' in + ((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 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 k octx ctx n_fix uri s in + let s'_and_fixpoints_s' = lazy (aux true octx ctx n_fix uri old_s) in + let ctx = + Ce (lazy + let s',fixpoints_s' = Lazy.force s'_and_fixpoints_s' in + ((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 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 k octx ctx n_fix uri te in + let te_and_fixpoints_s' = lazy (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_and_fixpoints_ty' = lazy (aux true octx ctx n_fix uri old_ty) in + let ctx = + Ce (lazy + let te',fixpoints_s' = Lazy.force te_and_fixpoints_s' in + let ty',fixpoints_ty' = Lazy.force ty_and_fixpoints_ty' in + let fixpoints' = fixpoints_s' @ fixpoints_ty' in + ((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 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 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,[] + | Cic.Sort (Cic.Type u) -> + NCic.Sort (NCic.Type (CicUniv.get_rank u)),[] + | Cic.Sort Cic.Set -> NCic.Sort (NCic.Type 0),[] + (* calculate depth in the univ_graph*) + | Cic.Appl l -> + let l, fixpoints = + List.fold_right + (fun t (l,acc) -> + let t, fixpoints = aux k octx ctx n_fix uri t in + (t::l,fixpoints@acc)) + l ([],[]) + in + (match l with + | (NCic.Appl l1)::l2 -> NCic.Appl (l1@l2), fixpoints + | _ -> NCic.Appl l, fixpoints) + | Cic.Const (curi, 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) + | Cic.Constant (_,None,_,_,_) -> + NCic.Const (Ref.reference_of_ouri curi Ref.Decl) + | _ -> assert false) + | Cic.MutInd (curi, tyno, 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 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 r = Ref.reference_of_ouri curi (Ref.Ind tyno) 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 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 _ -> 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 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 + match ens with + [] -> he,objs + | _::_ -> NCic.Appl (he::ens),objs + in + aux false [] [] 0 uri t +;; + +let cook mode vars t = + 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,_,_) -> + 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 = 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 + aux varsno [] vars +;; + +let convert_obj_aux uri = function + | Cic.Constant (name, None, ty, vars, _) -> + let ty = cook `Pi vars ty in + let nty, fixpoints = convert_term uri ty in + assert(fixpoints = []); + NCic.Constant ([], name, None, nty, (`Provided,`Theorem,`Regular)), + fixpoints + | Cic.Constant (name, Some bo, ty, vars, _) -> + let bo = cook `Lambda vars bo in + let ty = cook `Pi vars ty in + let nbo, fixpoints_bo = convert_term uri bo in + let nty, fixpoints_ty = convert_term uri ty in + assert(fixpoints_ty = []); + NCic.Constant ([], name, Some nbo, nty, (`Provided,`Theorem,`Regular)), + fixpoints_bo @ fixpoints_ty + | Cic.InductiveDefinition (itl,vars,leftno,_) -> + let ind = let _,x,_,_ = List.hd itl in x in + let itl, fix_itl = + List.fold_right + (fun (name, _, ty, cl) (itl,acc) -> + let ty = cook `Pi vars ty in + let ty, fix_ty = convert_term uri ty in + let cl, fix_cl = + List.fold_right + (fun (name, ty) (cl,acc) -> + let ty = cook `Pi vars ty in + 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 + List.length + (List.filter (fun v -> + match fst (CicEnvironment.get_obj CicUniv.oblivion_ugraph v) with + Cic.Variable (_,Some _,_,_,_) -> false + | Cic.Variable (_,None,_,_,_) -> true + | _ -> assert false) + vars) + , itl, (`Provided, `Regular)), + fix_itl + | Cic.Variable _ + | Cic.CurrentProof _ -> assert false +;; + +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] +;;