Definition zero_of_type (t: type) : val :=
match t with
| Tfloat _ _ => Vfloat Float.zero
| _ => Vint Int.zero
end.
Definition eval_sgvar (id: ident) (ty: type) (rho: environ) :=
match Map.get (ge_of rho) id with
| Some b => Vptr b Ptrofs.zero
| None => Vundef
end.
(* Lemma eval_sgvar_lemma1: forall (F: val -> mpred) ofs id t, F Vundef |-- FF -> `F (`(offset_val ofs) (eval_sgvar id t)) = (EX v:val, local (locald_denote (sgvar id v)) && `(F (offset_val ofs v))). *)
Definition init_data2pred' {cs: compspecs}
(Delta: tycontext) (gv: globals) (d: init_data)  (sh: share) (v: val) : mpred :=
match d with
| Init_int8 i => mapsto sh tuchar v (Vint (Int.zero_ext 8 i))
| Init_int16 i => mapsto sh tushort v (Vint (Int.zero_ext 16 i))
| Init_int32 i => mapsto sh tuint v (Vint i)
| Init_int64 i => mapsto sh tulong v (Vlong i)
| Init_float32 r =>  mapsto sh tfloat v (Vsingle r)
| Init_float64 r =>  mapsto sh tdouble v (Vfloat r)
| Init_space n =>  memory_block sh n v
| Init_addrof symb ofs =>
match (var_types Delta) ! symb, (glob_types Delta) ! symb with
| None, Some (Tarray t n' att) =>
mapsto sh (Tpointer t noattr) v (offset_val (Ptrofs.unsigned ofs) (gv symb))
| None, Some t => mapsto sh (Tpointer t noattr) v (offset_val (Ptrofs.unsigned ofs) (gv symb))
| Some _, Some _ => mapsto_ sh (Tpointer Tvoid noattr) v
| _, _ => TT
end
end.

Lemma unsigned_repr_le: forall i, 0 <= i -> Int.unsigned (Int.repr i) <= i.