diff options
Diffstat (limited to 'mppa_k1c/NeedOp.v')
| -rw-r--r-- | mppa_k1c/NeedOp.v | 60 |
1 files changed, 60 insertions, 0 deletions
diff --git a/mppa_k1c/NeedOp.v b/mppa_k1c/NeedOp.v index c10f5c56..ced31758 100644 --- a/mppa_k1c/NeedOp.v +++ b/mppa_k1c/NeedOp.v @@ -42,8 +42,13 @@ Definition needs_of_operation (op: operation) (nv: nval): list nval := | Ocast16signed => op1 (sign_ext 16 nv) | Oadd => op2 (modarith nv) | Oaddimm n => op1 (modarith nv) + | Oaddx _ => op2 (default nv) + | Oaddximm _ _ => op1 (default nv) | Oneg => op1 (modarith nv) | Osub => op2 (default nv) + | Orevsubimm _ => op1 (default nv) + | Orevsubx _ => op2 (default nv) + | Orevsubximm _ _ => op1 (default nv) | Omul => op2 (modarith nv) | Omulimm _ => op1 (modarith nv) | Omulhs | Omulhu | Odiv | Odivu | Omod | Omodu => op2 (default nv) @@ -72,12 +77,19 @@ Definition needs_of_operation (op: operation) (nv: nval): list nval := | Oshrximm n => op1 (default nv) | Omadd => op3 (modarith nv) | Omaddimm n => op2 (modarith nv) + | Omsub => op3 (modarith nv) + | Omsubimm n => op2 (modarith nv) | Omakelong => op2 (default nv) | Olowlong | Ohighlong => op1 (default nv) | Ocast32signed => op1 (default nv) | Ocast32unsigned => op1 (default nv) | Oaddl => op2 (default nv) | Oaddlimm n => op1 (default nv) + | Oaddxl _ => op2 (default nv) + | Oaddxlimm _ _ => op1 (default nv) + | Orevsublimm _ => op1 (default nv) + | Orevsubxl _ => op2 (default nv) + | Orevsubxlimm _ _ => op1 (default nv) | Onegl => op1 (default nv) | Osubl => op2 (default nv) | Omull => op2 (default nv) @@ -107,6 +119,8 @@ Definition needs_of_operation (op: operation) (nv: nval): list nval := | Oshrxlimm n => op1 (default nv) | Omaddl => op3 (default nv) | Omaddlimm n => op2 (default nv) + | Omsubl => op3 (default nv) + | Omsublimm n => op2 (default nv) | Onegf | Oabsf => op1 (default nv) | Oaddf | Osubf | Omulf | Odivf => op2 (default nv) | Onegfs | Oabsfs => op1 (default nv) @@ -229,6 +243,26 @@ Proof. - apply Val.addl_lessdef; trivial. Qed. +Lemma subl_lessdef: + forall v1 v1' v2 v2', + Val.lessdef v1 v1' -> Val.lessdef v2 v2' -> Val.lessdef (Val.subl v1 v2) (Val.subl v1' v2'). +Proof. + intros. inv H. inv H0. auto. destruct v1'; simpl; auto. simpl; auto. +Qed. + +Lemma subl_sound: + forall v1 w1 v2 w2 x, + vagree v1 w1 (default x) -> vagree v2 w2 (default x) -> + vagree (Val.subl v1 v2) (Val.subl w1 w2) x. +Proof. + unfold default; intros. + destruct x; simpl in *; trivial. + - unfold Val.subl. + destruct v1; destruct v2; trivial; destruct Archi.ptr64; simpl; trivial. + destruct (eq_block _ _) ; simpl; trivial. + - apply subl_lessdef; trivial. +Qed. + Lemma mull_sound: forall v1 w1 v2 w2 x, @@ -424,6 +458,14 @@ Proof. destruct nv; simpl; trivial. Qed. +Remark sub_add_neg : + forall x y, Val.sub x y = Val.add x (Val.neg y). +Proof. + destruct x; destruct y; simpl; trivial. + f_equal. + apply Int.sub_add_opp. +Qed. + Lemma needs_of_operation_sound: forall op args v nv args', eval_operation ge (Vptr sp Ptrofs.zero) op args m1 = Some v -> @@ -466,11 +508,29 @@ Proof. (* madd *) - apply add_sound; try apply mul_sound; auto with na; rewrite modarith_idem; assumption. - apply add_sound; try apply mul_sound; auto with na; rewrite modarith_idem; assumption. +- repeat rewrite sub_add_neg. + apply add_sound; trivial. + apply neg_sound; trivial. + rewrite modarith_idem. + apply mul_sound; + rewrite modarith_idem; trivial. +- repeat rewrite sub_add_neg. + apply add_sound; trivial. + apply neg_sound; trivial. + rewrite modarith_idem. + apply mul_sound; + rewrite modarith_idem; trivial. + apply vagree_same. (* maddl *) - apply addl_sound; trivial. apply mull_sound; trivial. rewrite default_idem; trivial. rewrite default_idem; trivial. + (* msubl *) +- apply subl_sound; trivial. + apply mull_sound; trivial. + rewrite default_idem; trivial. + rewrite default_idem; trivial. (* select *) - apply select_sound; trivial. (* selectl *) |