diff options
Diffstat (limited to 'riscV/Op.v')
| -rw-r--r-- | riscV/Op.v | 70 |
1 files changed, 70 insertions, 0 deletions
@@ -666,6 +666,36 @@ Proof with (try exact I; try reflexivity; auto using Val.Vptr_has_type). - destruct (eval_condition cond vl m)... destruct b... Qed. + +Definition is_trapping_op (op : operation) := + match op with + | Odiv | Odivl | Odivu | Odivlu + | Omod | Omodl | Omodu | Omodlu + | Oshrximm _ | Oshrxlimm _ + | Ointoffloat | Ointuoffloat + | Ointofsingle | Ointuofsingle + | Olongoffloat | Olonguoffloat + | Olongofsingle | Olonguofsingle + | Osingleofint | Osingleofintu + | Osingleoflong | Osingleoflongu + | Ofloatofint | Ofloatofintu + | Ofloatoflong | Ofloatoflongu => true + | _ => false + end. + +Lemma is_trapping_op_sound: + forall op vl sp m, + op <> Omove -> + is_trapping_op op = false -> + (List.length vl) = (List.length (fst (type_of_operation op))) -> + eval_operation genv sp op vl m <> None. +Proof. + destruct op; intros; simpl in *; try congruence. + all: try (destruct vl as [ | vh1 vl1]; try discriminate). + all: try (destruct vl1 as [ | vh2 vl2]; try discriminate). + all: try (destruct vl2 as [ | vh3 vl3]; try discriminate). + all: try (destruct vl3 as [ | vh4 vl4]; try discriminate). +Qed. End SOUNDNESS. (** * Manipulating and transforming operations *) @@ -1159,6 +1189,20 @@ Proof. apply Val.offset_ptr_inject; auto. Qed. +Lemma eval_addressing_inj_none: + forall addr sp1 vl1 sp2 vl2, + (forall id ofs, + In id (globals_addressing addr) -> + Val.inject f (Genv.symbol_address ge1 id ofs) (Genv.symbol_address ge2 id ofs)) -> + Val.inject f sp1 sp2 -> + Val.inject_list f vl1 vl2 -> + eval_addressing ge1 sp1 addr vl1 = None -> + eval_addressing ge2 sp2 addr vl2 = None. +Proof. + intros until vl2. intros Hglobal Hinjsp Hinjvl. + destruct addr; simpl in *; + inv Hinjvl; trivial; try discriminate; inv H0; trivial; try discriminate; inv H2; trivial; try discriminate. +Qed. End EVAL_COMPAT. (** Compatibility of the evaluation functions with the ``is less defined'' relation over values. *) @@ -1265,6 +1309,18 @@ Proof. destruct H1 as [v2 [A B]]. exists v2; split; auto. rewrite val_inject_lessdef; auto. Qed. +Lemma eval_addressing_lessdef_none: + forall sp addr vl1 vl2, + Val.lessdef_list vl1 vl2 -> + eval_addressing genv sp addr vl1 = None -> + eval_addressing genv sp addr vl2 = None. +Proof. + intros until vl2. intros Hlessdef Heval1. + destruct addr; simpl in *; + inv Hlessdef; trivial; try discriminate; + inv H0; trivial; try discriminate; + inv H2; trivial; try discriminate. +Qed. End EVAL_LESSDEF. (** Compatibility of the evaluation functions with memory injections. *) @@ -1317,6 +1373,20 @@ Proof. econstructor; eauto. rewrite Ptrofs.add_zero_l; auto. Qed. + +Lemma eval_addressing_inject_none: + forall addr vl1 vl2, + Val.inject_list f vl1 vl2 -> + eval_addressing genv (Vptr sp1 Ptrofs.zero) addr vl1 = None -> + eval_addressing genv (Vptr sp2 Ptrofs.zero) (shift_stack_addressing delta addr) vl2 = None. +Proof. + intros. + rewrite eval_shift_stack_addressing. + eapply eval_addressing_inj_none with (sp1 := Vptr sp1 Ptrofs.zero); eauto. + intros. apply symbol_address_inject. + econstructor; eauto. rewrite Ptrofs.add_zero_l; auto. +Qed. + Lemma eval_operation_inject: forall op vl1 vl2 v1 m1 m2, Val.inject_list f vl1 vl2 -> |