Local Open Scope logic.
Hint Resolve isptr_force_val_sem_cast_neutral : norm.
Arguments denote_tc_isptr v / .
Arguments denote_tc_iszero !v .
Arguments denote_tc_nonzero !v .
Arguments denote_tc_igt i !v .
Arguments denote_tc_Zge z !v .
Arguments denote_tc_Zle z !v .
Arguments denote_tc_samebase !v1 !v2 .
Arguments denote_tc_nodivover !v1 !v2 .
Arguments denote_tc_initialized id ty rho / .
Arguments denote_tc_nosignedover op v1 v2 / .
Ltac simpl_denote_tc :=
simpl denote_tc_isptr;
simpl denote_tc_iszero;
simpl denote_tc_nonzero;
simpl denote_tc_igt;
simpl denote_tc_Zge;
simpl denote_tc_Zle;
simpl denote_tc_samebase;
simpl denote_tc_nodivover;
simpl denote_tc_initialized;
simpl denote_tc_nosignedover.
Hint Resolve sepcon_valid_pointer1 sepcon_valid_pointer2 : valid_pointer.
Hint Resolve andp_valid_pointer1 andp_valid_pointer2 : valid_pointer.
Hint Resolve valid_pointer_null : valid_pointer.
Hint Resolve valid_pointer_zero32 : valid_pointer.
Hint Resolve valid_pointer_zero64 : valid_pointer.
Hint Resolve sepcon_weak_valid_pointer1: valid_pointer.
Hint Resolve sepcon_weak_valid_pointer2: valid_pointer.
(* TODO: test_order need to be added *)
Ltac solve_valid_pointer :=
match goal with
| |- _ |-- denote_tc_test_eq _ _ && _ =>
apply andp_right;
[apply denote_tc_test_eq_split;
solve [auto 50 with valid_pointer] | ]
| |- _ |-- valid_pointer _ && _ =>
apply andp_right; [ solve [auto 50 with valid_pointer] | ]
| |- _ |-- weak_valid_pointer _ && _ =>
apply andp_right; [ solve [auto 50 with valid_pointer] | ]
| |- _ |-- denote_tc_test_eq _ _ =>
auto 50 with valid_pointer
| |- _ |-- valid_pointer _ =>
auto 50 with valid_pointer
| |- _ |-- weak_valid_pointer _ =>
auto 50 with valid_pointer
end.
Hint Rewrite (@TT_andp mpred _) : gather_prop.
Hint Rewrite (@andp_TT mpred _) : gather_prop.
Ltac pull_out_props :=
repeat (( simple apply derives_extract_prop
|| simple apply derives_extract_prop');
fancy_intros true);
autorewrite with gather_prop;
repeat (( simple apply derives_extract_prop
|| simple apply derives_extract_prop');
fancy_intros true).
Ltac simplify_float2int :=
match goal with
| |- context [Zofsingle (Float32.of_bits (Int.repr ?A))] =>
putable A;
let x := fresh "x" in (evar (x: Z));
replace (Zofsingle (Float32.of_bits (Int.repr A))) with (Some x) by (subst x; reflexivity);
compute in x; subst x
| |- context [Zoffloat (Float.of_bits (Int.repr ?A))] =>
putable A;
let x := fresh "x" in (evar (x: Z));
replace (Zoffloat (Float.of_bits (Int.repr A))) with (Some x) by (subst x; reflexivity);
compute in x; subst x
end.
Ltac ent_iter :=
repeat simplify_float2int;
autorewrite with gather_prop;
repeat (( simple apply derives_extract_prop
|| simple apply derives_extract_prop');
fancy_intros true);
(*   saturate_local; *)
repeat erewrite unfold_reptype_elim in * by (apply JMeq_refl; reflexivity);
simpl_compare;
simpl_denote_tc;
safe_subst_any;
try autorewrite with entailer_rewrite in *;
try solve_valid_pointer;
repeat data_at_conflict_neq.
Ltac splittable :=
match goal with
| |- _ <= _ < _ => fail 1
| |- _ < _ <= _ => fail 1
| |- _ <= _ <= _ => fail 1
| |- _ < _ < _ => fail 1
| |- _ <-> _ => fail 1
| |- _ /\ _ => idtac
end.
Ltac prove_signed_range :=
match goal with
| |- Int.min_signed <= _ <= Int.max_signed =>
normalize; rep_omega
| |- Int64.min_signed <= _ <= Int64.max_signed =>
normalize; rep_omega
end.
Hint Resolve ptr_eq_refl : prove_it_now.

Lemma ptr_eq_nullval: ptr_eq nullval nullval.