diff options
| author |  xleroy <xleroy@fca1b0fc-160b-0410-b1d3-a4f43f01ea2e> | 2012-07-01 07:51:12 +0000 |
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| committer | xleroy <xleroy@fca1b0fc-160b-0410-b1d3-a4f43f01ea2e> | 2012-07-01 07:51:12 +0000 |
| commit | 4abaa3fa312fcbe7ee9665853f52a5d37e703864 (patch) | |
| tree | 8fb982f2dd6fca8990708aa30a04e537c38ab395 /arm/CombineOpproof.v | |
| parent | 9b8f0f6c4683dd00ee0e3422b84c9cc34510011e (diff) | |
Recombine x = cmp(...); if (x == 1) ...
and x = cmp(...); if (x != 1) ...
git-svn-id: https://yquem.inria.fr/compcert/svn/compcert/trunk@1946 fca1b0fc-160b-0410-b1d3-a4f43f01ea2e
Diffstat (limited to 'arm/CombineOpproof.v')
| -rw-r--r-- | arm/CombineOpproof.v | 29 |
1 files changed, 29 insertions, 0 deletions
diff --git a/arm/CombineOpproof.v b/arm/CombineOpproof.v index 9d297ac..0d2e6dd 100644 --- a/arm/CombineOpproof.v +++ b/arm/CombineOpproof.v @@ -58,6 +58,31 @@ Proof. destruct (eval_condition c (map valu args) m); simpl; auto. destruct b; auto. Qed. +Lemma combine_compimm_eq_1_sound: + forall x cond args, + combine_compimm_eq_1 get x = Some(cond, args) -> + eval_condition cond (map valu args) m = Val.cmp_bool Ceq (valu x) (Vint Int.one) /\ + eval_condition cond (map valu args) m = Val.cmpu_bool (Mem.valid_pointer m) Ceq (valu x) (Vint Int.one). +Proof. + intros until args. functional induction (combine_compimm_eq_1 get x); intros EQ; inv EQ. + (* of cmp *) + exploit get_sound; eauto. unfold equation_holds. simpl. intro EQ; inv EQ. + destruct (eval_condition cond (map valu args) m); simpl; auto. destruct b; auto. +Qed. + +Lemma combine_compimm_ne_1_sound: + forall x cond args, + combine_compimm_ne_1 get x = Some(cond, args) -> + eval_condition cond (map valu args) m = Val.cmp_bool Cne (valu x) (Vint Int.one) /\ + eval_condition cond (map valu args) m = Val.cmpu_bool (Mem.valid_pointer m) Cne (valu x) (Vint Int.one). +Proof. + intros until args. functional induction (combine_compimm_eq_1 get x); intros EQ; inv EQ. + (* of cmp *) + exploit get_sound; eauto. unfold equation_holds. simpl. intro EQ; inv EQ. + rewrite eval_negate_condition. + destruct (eval_condition cond (map valu args) m); simpl; auto. destruct b; auto. +Qed. + Theorem combine_cond_sound: forall cond args cond' args', combine_cond get cond args = Some(cond', args') -> @@ -68,10 +93,14 @@ Proof. simpl; eapply combine_compimm_ne_0_sound; eauto. (* compimm eq zero *) simpl; eapply combine_compimm_eq_0_sound; eauto. + (* compimm eq one *) + simpl; eapply combine_compimm_eq_1_sound; eauto. (* compuimm ne zero *) simpl; eapply combine_compimm_ne_0_sound; eauto. (* compuimm eq zero *) simpl; eapply combine_compimm_eq_0_sound; eauto. + (* compuimm eq one *) + simpl; eapply combine_compimm_eq_1_sound; eauto. Qed. Theorem combine_addr_sound: |