diff options
Diffstat (limited to 'aarch64/Asmgenproof1.v')
| -rw-r--r-- | aarch64/Asmgenproof1.v | 87 |
1 files changed, 85 insertions, 2 deletions
diff --git a/aarch64/Asmgenproof1.v b/aarch64/Asmgenproof1.v index 0e36bd05..35f1f2d7 100644 --- a/aarch64/Asmgenproof1.v +++ b/aarch64/Asmgenproof1.v @@ -881,7 +881,40 @@ Proof. split. subst v; Simpl. split; intros; Simpl. Qed. - + + +Lemma exec_shrx32_none: forall (rd r1: ireg) (n: int) k (rs: regset) m, + Val.shrx rs#r1 (Vint n) = None -> + r1 <> X16 -> + (IR RA) <> (preg_of_iregsp (RR1 rd)) -> + exists rs', + exec_straight ge fn (shrx32 rd r1 n k) rs m k rs' m + /\ (forall r, data_preg r = true -> r <> rd -> rs'#r = rs#r) + /\ rs' # RA = rs # RA. +Proof. + unfold shrx32; intros. + destruct (Int.eq n Int.zero) eqn:E. +- econstructor; split. apply exec_straight_one; [simpl;eauto|auto]. + split. + + intros. Simpl. + + Simpl. +- generalize (Int.eq_spec n Int.one). + destruct (Int.eq n Int.one); intro ONE. + * subst n. + econstructor; split. eapply exec_straight_two. + all: cbn; auto. + split. + ** intros. + destruct (Val.add _ _); cbn; Simpl. + ** Simpl. + * econstructor; split. eapply exec_straight_three. + all: cbn; auto. + split. + ** intros. + destruct (Val.shr _ _); cbn; Simpl. + ** Simpl. +Qed. + Lemma exec_shrx64: forall (rd r1: ireg) (n: int) k v (rs: regset) m, Val.shrxl rs#r1 (Vint n) = Some v -> r1 <> X16 -> @@ -918,6 +951,38 @@ Proof. split; intros; Simpl. Qed. +Lemma exec_shrx64_none: forall (rd r1: ireg) (n: int) k (rs: regset) m, + Val.shrxl rs#r1 (Vint n) = None -> + r1 <> X16 -> + (IR RA) <> (preg_of_iregsp (RR1 rd)) -> + exists rs', + exec_straight ge fn (shrx64 rd r1 n k) rs m k rs' m + /\ (forall r, data_preg r = true -> r <> rd -> rs'#r = rs#r) + /\ rs' # RA = rs # RA. +Proof. + unfold shrx64; intros. + destruct (Int.eq n Int.zero) eqn:E. +- econstructor; split. apply exec_straight_one; [simpl;eauto|auto]. + split. + + intros. Simpl. + + Simpl. +- generalize (Int.eq_spec n Int.one). + destruct (Int.eq n Int.one); intro ONE. + * subst n. + econstructor; split. eapply exec_straight_two. + all: cbn; auto. + split. + ** intros. + destruct (Val.addl _ _); cbn; Simpl. + ** Simpl. + * econstructor; split. eapply exec_straight_three. + all: cbn; auto. + split. + ** intros. + destruct (Val.shrl _ _); cbn; Simpl. + ** Simpl. +Qed. + (** Condition bits *) Lemma compare_int_spec: forall rs v1 v2 m, @@ -1660,10 +1725,19 @@ Local Transparent Val.add. TranslOpBase. destruct (eval_shift s (rs x0) a); auto. simpl. rewrite Int.or_zero_l; auto. - (* shrx *) - exploit (exec_shrx32 x x0 n); eauto with asmgen. apply (ireg_of_not_RA'' res); eassumption. + destruct (Val.shrx (rs x0) (Vint n)) eqn:TOTAL. + { + exploit (exec_shrx32 x x0 n); eauto with asmgen. apply (ireg_of_not_RA'' res); eassumption. intros (rs' & A & B & C & D). econstructor; split. eexact A. split. rewrite B; auto. split; auto. + } + exploit (exec_shrx32_none x x0 n); eauto with asmgen. apply (ireg_of_not_RA'' res); eassumption. + intros (rs' & A & B & C). + econstructor; split. { eexact A. } + split. { cbn. constructor. } + split; auto. + - (* zero-ext *) TranslOpBase. destruct (rs x0); auto; simpl. rewrite Int.shl_zero. auto. @@ -1736,9 +1810,18 @@ Local Transparent Val.add. TranslOpBase. destruct (eval_shiftl s (rs x0) a); auto. simpl. rewrite Int64.or_zero_l; auto. - (* shrx *) + destruct (Val.shrxl (rs x0) (Vint n)) eqn:TOTAL. + { exploit (exec_shrx64 x x0 n); eauto with asmgen. apply (ireg_of_not_RA'' res); eassumption. intros (rs' & A & B & C & D ). econstructor; split. eexact A. split. rewrite B; auto. auto. + } + exploit (exec_shrx64_none x x0 n); eauto with asmgen. apply (ireg_of_not_RA'' res); eassumption. + intros (rs' & A & B & C). + econstructor; split. { eexact A. } + split. { cbn. constructor. } + split; auto. + - (* zero-ext-l *) TranslOpBase. destruct (rs x0); auto; simpl. rewrite Int64.shl'_zero. auto. |