diff options
Diffstat (limited to 'riscV/Asmgenproof.v')
| -rw-r--r-- | riscV/Asmgenproof.v | 162 |
1 files changed, 159 insertions, 3 deletions
diff --git a/riscV/Asmgenproof.v b/riscV/Asmgenproof.v index 4af8352c..509eac94 100644 --- a/riscV/Asmgenproof.v +++ b/riscV/Asmgenproof.v @@ -115,6 +115,14 @@ Qed. Section TRANSL_LABEL. +Remark loadimm32_label: + forall r n k, tail_nolabel k (loadimm32 r n k). +Proof. + intros; unfold loadimm32. destruct (make_immed32 n); TailNoLabel. + unfold load_hilo32. destruct (Int.eq lo Int.zero); TailNoLabel. +Qed. +Hint Resolve loadimm32_label: labels. + Remark opimm32_label: forall op opimm r1 r2 n k, (forall r1 r2 r3, nolabel (op r1 r2 r3)) -> @@ -126,6 +134,14 @@ Proof. Qed. Hint Resolve opimm32_label: labels. +Remark loadimm64_label: + forall r n k, tail_nolabel k (loadimm64 r n k). +Proof. + intros; unfold loadimm64. destruct (make_immed64 n); TailNoLabel. + unfold load_hilo64. destruct (Int64.eq lo Int64.zero); TailNoLabel. +Qed. +Hint Resolve loadimm64_label: labels. + Remark opimm64_label: forall op opimm r1 r2 n k, (forall r1 r2 r3, nolabel (op r1 r2 r3)) -> @@ -145,25 +161,165 @@ Proof. Qed. Hint Resolve addptrofs_label: labels. +Remark transl_cond_float_nolabel: + forall c r1 r2 r3 insn normal, + transl_cond_float c r1 r2 r3 = (insn, normal) -> nolabel insn. +Proof. + unfold transl_cond_float; intros. destruct c; inv H; exact I. +Qed. + +Remark transl_cond_single_nolabel: + forall c r1 r2 r3 insn normal, + transl_cond_single c r1 r2 r3 = (insn, normal) -> nolabel insn. +Proof. + unfold transl_cond_single; intros. destruct c; inv H; exact I. + Qed. + Remark transl_cbranch_label: forall cond args lbl k c, transl_cbranch cond args lbl k = OK c -> tail_nolabel k c. Proof. intros. unfold transl_cbranch in H; destruct cond; TailNoLabel. - all: destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct c0; simpl; TailNoLabel. +- destruct c0; simpl; TailNoLabel. +- destruct (Int.eq n Int.zero). + destruct c0; simpl; TailNoLabel. + apply tail_nolabel_trans with (transl_cbranch_int32s c0 x X31 lbl :: k). + auto with labels. destruct c0; simpl; TailNoLabel. +- destruct (Int.eq n Int.zero). + destruct c0; simpl; TailNoLabel. + apply tail_nolabel_trans with (transl_cbranch_int32u c0 x X31 lbl :: k). + auto with labels. destruct c0; simpl; TailNoLabel. +- destruct c0; simpl; TailNoLabel. +- destruct c0; simpl; TailNoLabel. +- destruct (Int64.eq n Int64.zero). + destruct c0; simpl; TailNoLabel. + apply tail_nolabel_trans with (transl_cbranch_int64s c0 x X31 lbl :: k). + auto with labels. destruct c0; simpl; TailNoLabel. +- destruct (Int64.eq n Int64.zero). + destruct c0; simpl; TailNoLabel. + apply tail_nolabel_trans with (transl_cbranch_int64u c0 x X31 lbl :: k). + auto with labels. destruct c0; simpl; TailNoLabel. +- destruct (transl_cond_float c0 X31 x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_float_nolabel; eauto. + destruct normal; TailNoLabel. +- destruct (transl_cond_float c0 X31 x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_float_nolabel; eauto. + destruct normal; TailNoLabel. +- destruct (transl_cond_single c0 X31 x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_single_nolabel; eauto. + destruct normal; TailNoLabel. +- destruct (transl_cond_single c0 X31 x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_single_nolabel; eauto. + destruct normal; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. Qed. +Remark transl_cond_op_label: + forall cond args r k c, + transl_cond_op cond r args k = OK c -> tail_nolabel k c. +Proof. + intros. unfold transl_cond_op in H; destruct cond; TailNoLabel. +- destruct c0; simpl; TailNoLabel. +- destruct c0; simpl; TailNoLabel. +- unfold transl_condimm_int32s. + destruct (Int.eq n Int.zero). ++ destruct c0; simpl; TailNoLabel. ++ destruct c0; simpl. +* eapply tail_nolabel_trans; [apply opimm32_label; intros; exact I | TailNoLabel]. +* eapply tail_nolabel_trans; [apply opimm32_label; intros; exact I | TailNoLabel]. +* apply opimm32_label; intros; exact I. +* destruct (Int.eq n (Int.repr Int.max_signed)). apply loadimm32_label. apply opimm32_label; intros; exact I. +* eapply tail_nolabel_trans. apply loadimm32_label. TailNoLabel. +* eapply tail_nolabel_trans. apply loadimm32_label. TailNoLabel. +- unfold transl_condimm_int32u. + destruct (Int.eq n Int.zero). ++ destruct c0; simpl; TailNoLabel. ++ destruct c0; simpl; + try (eapply tail_nolabel_trans; [apply loadimm32_label | TailNoLabel]). + apply opimm32_label; intros; exact I. +- destruct c0; simpl; TailNoLabel. + - destruct c0; simpl; TailNoLabel. +- unfold transl_condimm_int64s. + destruct (Int64.eq n Int64.zero). ++ destruct c0; simpl; TailNoLabel. ++ destruct c0; simpl. +* eapply tail_nolabel_trans; [apply opimm64_label; intros; exact I | TailNoLabel]. +* eapply tail_nolabel_trans; [apply opimm64_label; intros; exact I | TailNoLabel]. +* apply opimm64_label; intros; exact I. +* destruct (Int64.eq n (Int64.repr Int64.max_signed)). apply loadimm32_label. apply opimm64_label; intros; exact I. +* eapply tail_nolabel_trans. apply loadimm64_label. TailNoLabel. +* eapply tail_nolabel_trans. apply loadimm64_label. TailNoLabel. +- unfold transl_condimm_int64u. + destruct (Int64.eq n Int64.zero). ++ destruct c0; simpl; TailNoLabel. ++ destruct c0; simpl; + try (eapply tail_nolabel_trans; [apply loadimm64_label | TailNoLabel]). + apply opimm64_label; intros; exact I. +- destruct (transl_cond_float c0 r x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_float_nolabel; eauto. + destruct normal; TailNoLabel. +- destruct (transl_cond_float c0 r x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_float_nolabel; eauto. + destruct normal; TailNoLabel. +- destruct (transl_cond_single c0 r x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_single_nolabel; eauto. + destruct normal; TailNoLabel. +- destruct (transl_cond_single c0 r x x0) as [insn normal] eqn:F; inv EQ2. + apply tail_nolabel_cons. eapply transl_cond_single_nolabel; eauto. + destruct normal; TailNoLabel. + Qed. + Remark transl_op_label: forall op args r k c, transl_op op args r k = OK c -> tail_nolabel k c. Proof. Opaque Int.eq. - unfold transl_op; intros; destruct op; TailNoLabel; - try (destruct optR as [[]|]; simpl in *; TailNoLabel). + unfold transl_op; intros; destruct op; TailNoLabel. - destruct (preg_of r); try discriminate; destruct (preg_of m); inv H; TailNoLabel. +- destruct (Float.eq_dec n Float.zero); TailNoLabel. +- destruct (Float32.eq_dec n Float32.zero); TailNoLabel. - destruct (Archi.pic_code tt && negb (Ptrofs.eq ofs Ptrofs.zero)). + eapply tail_nolabel_trans; [|apply addptrofs_label]. TailNoLabel. + TailNoLabel. +- apply opimm32_label; intros; exact I. +- apply opimm32_label; intros; exact I. +- apply opimm32_label; intros; exact I. +- apply opimm32_label; intros; exact I. +- destruct (Int.eq n Int.zero); try destruct (Int.eq n Int.one); TailNoLabel. +- apply opimm64_label; intros; exact I. +- apply opimm64_label; intros; exact I. +- apply opimm64_label; intros; exact I. +- apply opimm64_label; intros; exact I. +- destruct (Int.eq n Int.zero); try destruct (Int.eq n Int.one); TailNoLabel. +- eapply transl_cond_op_label; eauto. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. +- destruct optR as [[]|]; simpl in *; TailNoLabel. Qed. Remark indexed_memory_access_label: |