diff options
Diffstat (limited to 'arm/ConstpropOpproof.v')
| -rw-r--r-- | arm/ConstpropOpproof.v | 40 |
1 files changed, 31 insertions, 9 deletions
diff --git a/arm/ConstpropOpproof.v b/arm/ConstpropOpproof.v index 1eec5923..079ba2be 100644 --- a/arm/ConstpropOpproof.v +++ b/arm/ConstpropOpproof.v @@ -191,24 +191,46 @@ Proof. rs#r = Vundef \/ rs#r = Vint Int.zero \/ rs#r = Vint Int.one). { intros. apply vmatch_Uns_1 with bc Ptop. eapply vmatch_ge. eapply vincl_ge; eauto. apply MATCH. } unfold make_cmp. case (make_cmp_match c args vl); intros. -- destruct (Int.eq_dec n Int.one && vincl v1 (Uns Ptop 1)) eqn:E1. - simpl in H; inv H. InvBooleans. subst n. +- unfold make_cmp_imm_eq. + destruct (Int.eq_dec n Int.one && vincl v1 (Uns Ptop 1)) eqn:E1. ++ simpl in H; inv H. InvBooleans. subst n. exists (rs#r1); split; auto. simpl. exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. - destruct (Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1)) eqn:E0. - simpl in H; inv H. InvBooleans. subst n. ++ destruct (Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1)) eqn:E0. +* simpl in H; inv H. InvBooleans. subst n. exists (Val.xor rs#r1 (Vint Int.one)); split; auto. simpl. exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. - apply make_cmp_base_correct; auto. -- destruct (Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1)) eqn:E0. - simpl in H; inv H. InvBooleans. subst n. +* apply make_cmp_base_correct; auto. +- unfold make_cmp_imm_ne. + destruct (Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1)) eqn:E0. ++ simpl in H; inv H. InvBooleans. subst n. exists (rs#r1); split; auto. simpl. exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. ++ destruct (Int.eq_dec n Int.one && vincl v1 (Uns Ptop 1)) eqn:E1. +* simpl in H; inv H. InvBooleans. subst n. + exists (Val.xor rs#r1 (Vint Int.one)); split; auto. simpl. + exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. +* apply make_cmp_base_correct; auto. +- unfold make_cmp_imm_eq. destruct (Int.eq_dec n Int.one && vincl v1 (Uns Ptop 1)) eqn:E1. - simpl in H; inv H. InvBooleans. subst n. ++ simpl in H; inv H. InvBooleans. subst n. + exists (rs#r1); split; auto. simpl. + exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. ++ destruct (Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1)) eqn:E0. +* simpl in H; inv H. InvBooleans. subst n. + exists (Val.xor rs#r1 (Vint Int.one)); split; auto. simpl. + exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. +* apply make_cmp_base_correct; auto. +- unfold make_cmp_imm_ne. + destruct (Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1)) eqn:E0. ++ simpl in H; inv H. InvBooleans. subst n. + exists (rs#r1); split; auto. simpl. + exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. ++ destruct (Int.eq_dec n Int.one && vincl v1 (Uns Ptop 1)) eqn:E1. +* simpl in H; inv H. InvBooleans. subst n. exists (Val.xor rs#r1 (Vint Int.one)); split; auto. simpl. exploit Y; eauto. intros [A | [A | A]]; rewrite A; simpl; auto. - apply make_cmp_base_correct; auto. +* apply make_cmp_base_correct; auto. - apply make_cmp_base_correct; auto. Qed. |