diff options
Diffstat (limited to 'mppa_k1c/SelectOpproof.v')
| -rw-r--r-- | mppa_k1c/SelectOpproof.v | 46 |
1 files changed, 46 insertions, 0 deletions
diff --git a/mppa_k1c/SelectOpproof.v b/mppa_k1c/SelectOpproof.v index 0637256d..221d994f 100644 --- a/mppa_k1c/SelectOpproof.v +++ b/mppa_k1c/SelectOpproof.v @@ -696,6 +696,52 @@ Proof. exists (Val.ror v1 (Vint n2)); split. EvalOp. rewrite Val.or_commut. apply ROR; auto. - (*orn*) TrivialExists; simpl; congruence. - (*orn reversed*) rewrite Val.or_commut. TrivialExists; simpl; congruence. + - (* select *) + rename v12 into ret0. + rename v7 into ret1. + destruct (same_expr_pure y0 y1) eqn:PURE; simpl; try exact DEFAULT. + predSpec Int.eq Int.eq_spec zero0 Int.zero; simpl; try exact DEFAULT. + predSpec Int.eq Int.eq_spec zero1 Int.zero; simpl; try exact DEFAULT. + predSpec Int.eq Int.eq_spec one1 Int.one; simpl; try exact DEFAULT. + TrivialExists. + simpl in *. + unfold select. + f_equal. + inv H6. + inv H7. + inv H9. + inv H11. + inv H14. + inv H12. + inv H16. + unfold same_expr_pure in PURE. + destruct y0; try congruence. + destruct y1; try congruence. + destruct (ident_eq i i0); try congruence. + rewrite <- e0 in *. clear e0. clear PURE. + inv H2. inv H5. + replace v10 with v4 in * by congruence. + rename v4 into vselect. + destruct vselect; simpl; trivial. + rewrite (Val.and_commut _ ret0). + rewrite Val.or_commut. + destruct ret0; simpl; trivial. + rewrite (Val.and_commut _ ret1). + rewrite Val.or_commut. + destruct ret1; simpl; trivial. + rewrite int_eq_commut. + destruct (Int.eq i1 Int.zero); simpl. + + rewrite Int.sub_idem. + rewrite Int.and_zero. + rewrite Int.or_commut. + rewrite Int.or_zero. + rewrite Int.and_mone. + reflexivity. + + rewrite Int.and_mone. + rewrite Int.neg_zero. + rewrite Int.and_zero. + rewrite Int.or_zero. + reflexivity. - apply DEFAULT. Qed. |