X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_kernel%2FoCic2NCic.ml;h=54e12be14ae6fe3bcdda32c5fa6e393770ee09b2;hb=810bbac9ad50436ada9f2f5a9b069b3f59e079ab;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..54e12be14 100644 --- a/helm/software/components/ng_kernel/oCic2NCic.ml +++ b/helm/software/components/ng_kernel/oCic2NCic.ml @@ -1,2 +1,372 @@ +module Ref = NReference -let convert_obj obj = Obj.magic obj +let cn_to_s = function + | Cic.Anonymous -> "_" + | Cic.Name s -> s +;; + +type ctx = + | Ce of NCic.hypothesis + | Fix of Ref.reference * string * NCic.term + +let splat mk_pi ctx t = + List.fold_left + (fun t 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 +;; + +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 -> + (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 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)) +;; + +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');*) +;; + +(* 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 buri = + UriManager.uri_of_string + (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 + (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 boctx bctx n_fl buri bo in + (([],name,~-1,splat true ctx ty, splat false ctx bo)::l), + fixpoints_bo @ 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 k))) + n_fix, + fixpoints @ [obj] + | Cic.Fix (k, fl) -> + let buri = + UriManager.uri_of_string + (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,_ = + 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_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_bo @ 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 + splat_args ctx + (NCic.Const + (Ref.reference_of_ouri buri (Ref.Fix (k,!rno_k)))) + n_fix, + fixpoints @ [obj] + | Cic.Rel n -> + 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.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 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, (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, 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.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 = + List.fold_right + (fun t (l,acc) -> + let t, fixpoints = aux 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 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 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 + (NCic.Const (Ref.reference_of_ouri curi (Ref.Con (tyno,consno)))) + | 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 branches, fixpoints = + List.fold_right + (fun t (l,acc) -> + let t, fixpoints = aux 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 = + match ens with + [] -> he,[] + | _::_ -> + 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 ([],[]) + in + NCic.Appl (he::ens),objs + in + aux [] [] 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 bo,ty = + match fst (CicEnvironment.get_obj CicUniv.oblivion_ugraph uri) with + Cic.Variable (_,bo,ty,_,_) -> bo,ty + | _ -> assert false in + let id = Cic.Name (UriManager.name_of_uri uri) in + let t = + 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)) +;; + +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 vars, 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,max_int, [], [], o in + fixpoints @ [obj] +;;