diff options
Diffstat (limited to 'mppa_k1c/Asmblockgenproof0.v')
| -rw-r--r-- | mppa_k1c/Asmblockgenproof0.v | 139 |
1 files changed, 76 insertions, 63 deletions
diff --git a/mppa_k1c/Asmblockgenproof0.v b/mppa_k1c/Asmblockgenproof0.v index 07c445e2..d2450a9a 100644 --- a/mppa_k1c/Asmblockgenproof0.v +++ b/mppa_k1c/Asmblockgenproof0.v @@ -752,6 +752,82 @@ Proof. intros. destruct H. auto. Qed. +Ltac Simplif := + ((rewrite nextblock_inv by eauto with asmgen) + || (rewrite nextblock_inv1 by eauto with asmgen) + || (rewrite Pregmap.gss) + || (rewrite nextblock_pc) + || (rewrite Pregmap.gso by eauto with asmgen) + ); auto with asmgen. + +Ltac Simpl := repeat Simplif. + +Theorem exec_basic_instr_pc: + forall ge b rs1 m1 rs2 m2, + exec_basic_instr ge b rs1 m1 = Next rs2 m2 -> + rs2 PC = rs1 PC. +Proof. + intros. destruct b; try destruct i; try destruct i. + all: try (inv H; Simpl). + 1-10: unfold parexec_load_offset in H1; destruct (eval_offset ofs); try discriminate; destruct (Mem.loadv _ _ _); unfold parexec_incorrect_load in *; destruct trap; try discriminate; unfold concrete_default_notrap_load_value in *; inv H1; Simpl; fail. + + 1-20: unfold parexec_load_reg, parexec_load_regxs in H1; destruct (Mem.loadv _ _ _); unfold parexec_incorrect_load in *; destruct trap; try discriminate; unfold concrete_default_notrap_load_value in *; inv H1; Simpl; fail. + + { (* PLoadQRRO *) + unfold parexec_load_q_offset in H1. + destruct (gpreg_q_expand _) as [r0 r1] in H1. + destruct (Mem.loadv _ _ _) in H1; try discriminate. + destruct (Mem.loadv _ _ _) in H1; try discriminate. + inv H1. Simpl. } + { (* PLoadORRO *) + unfold parexec_load_o_offset in H1. + destruct (gpreg_o_expand _) as [[[r0 r1] r2] r3] in H1. + destruct (Mem.loadv _ _ _) in H1; try discriminate. + destruct (Mem.loadv _ _ _) in H1; try discriminate. + destruct (Mem.loadv _ _ _) in H1; try discriminate. + destruct (Mem.loadv _ _ _) in H1; try discriminate. + inv H1. Simpl. } + 1-8: unfold parexec_store_offset in H1; destruct (eval_offset ofs); try discriminate; destruct (Mem.storev _ _ _); [inv H1; auto | discriminate]; fail. + 1-8: unfold parexec_store_reg in H1; destruct (Mem.storev _ _ _); [inv H1; Simpl | discriminate]; auto; fail. + 1-8: unfold parexec_store_regxs in H1; destruct (Mem.storev _ _ _); [inv H1; Simpl | discriminate]; auto; fail. + + { (* PStoreQRRO *) + unfold parexec_store_q_offset in H1. + destruct (gpreg_q_expand _) as [r0 r1] in H1. + unfold eval_offset in H1; try discriminate. + destruct (Mem.storev _ _ _) in H1; try discriminate. + destruct (Mem.storev _ _ _) in H1; try discriminate. + inv H1. Simpl. reflexivity. } + { (* PStoreORRO *) + unfold parexec_store_o_offset in H1. + destruct (gpreg_o_expand _) as [[[r0 r1] r2] r3] in H1. + unfold eval_offset in H1; try discriminate. + destruct (Mem.storev _ _ _) in H1; try discriminate. + destruct (Mem.storev _ _ _) in H1; try discriminate. + destruct (Mem.storev _ _ _) in H1; try discriminate. + destruct (Mem.storev _ _ _) in H1; try discriminate. + inv H1. Simpl. reflexivity. } + - destruct (Mem.alloc _ _ _). destruct (Mem.store _ _ _ _ _). inv H1. Simpl. discriminate. + - destruct (Mem.loadv _ _ _); try discriminate. destruct (rs1 _); try discriminate. + destruct (Mem.free _ _ _ _). inv H1. Simpl. discriminate. + - destruct rs; try discriminate. inv H1. Simpl. + - destruct rd; try discriminate. inv H1; Simpl. + - reflexivity. +Qed. + +Lemma exec_body_pc: + forall ge l rs1 m1 rs2 m2, + exec_body ge l rs1 m1 = Next rs2 m2 -> + rs2 PC = rs1 PC. +Proof. + induction l. + - intros. inv H. auto. + - intros until m2. intro EXEB. + inv EXEB. destruct (exec_basic_instr _ _ _ _) eqn:EBI; try discriminate. + eapply IHl in H0. rewrite H0. + erewrite exec_basic_instr_pc; eauto. +Qed. + Section STRAIGHTLINE. Variable ge: genv. @@ -880,69 +956,6 @@ Qed. (** Linking exec_straight with exec_straight_blocks *) -Ltac Simplif := - ((rewrite nextblock_inv by eauto with asmgen) - || (rewrite nextblock_inv1 by eauto with asmgen) - || (rewrite Pregmap.gss) - || (rewrite nextblock_pc) - || (rewrite Pregmap.gso by eauto with asmgen) - ); auto with asmgen. - -Ltac Simpl := repeat Simplif. - -Lemma exec_basic_instr_pc: - forall b rs1 m1 rs2 m2, - exec_basic_instr ge b rs1 m1 = Next rs2 m2 -> - rs2 PC = rs1 PC. -Proof. - intros. destruct b; try destruct i; try destruct i. - all: try (inv H; Simpl). - 1-10: unfold parexec_load_offset in H1; destruct (eval_offset ofs); try discriminate; destruct (Mem.loadv _ _ _); unfold parexec_incorrect_load in *; destruct trap; try discriminate; unfold concrete_default_notrap_load_value in *; inv H1; Simpl; fail. - - 1-20: unfold parexec_load_reg, parexec_load_regxs in H1; destruct (Mem.loadv _ _ _); unfold parexec_incorrect_load in *; destruct trap; try discriminate; unfold concrete_default_notrap_load_value in *; inv H1; Simpl; fail. - - { (* PLoadQRRO *) - unfold parexec_load_q_offset in H1. - destruct (gpreg_q_expand _) as [r0 r1] in H1. - destruct (Mem.loadv _ _ _) in H1; try discriminate. - destruct (Mem.loadv _ _ _) in H1; try discriminate. - inv H1. Simpl. } - { (* PLoadORRO *) - unfold parexec_load_o_offset in H1. - destruct (gpreg_o_expand _) as [[[r0 r1] r2] r3] in H1. - destruct (Mem.loadv _ _ _) in H1; try discriminate. - destruct (Mem.loadv _ _ _) in H1; try discriminate. - destruct (Mem.loadv _ _ _) in H1; try discriminate. - destruct (Mem.loadv _ _ _) in H1; try discriminate. - inv H1. Simpl. } - 1-8: unfold parexec_store_offset in H1; destruct (eval_offset ofs); try discriminate; destruct (Mem.storev _ _ _); [inv H1; auto | discriminate]; fail. - 1-8: unfold parexec_store_reg in H1; destruct (Mem.storev _ _ _); [inv H1; Simpl | discriminate]; auto; fail. - 1-8: unfold parexec_store_regxs in H1; destruct (Mem.storev _ _ _); [inv H1; Simpl | discriminate]; auto; fail. - - { (* PStoreQRRO *) - unfold parexec_store_q_offset in H1. - destruct (gpreg_q_expand _) as [r0 r1] in H1. - unfold eval_offset in H1; try discriminate. - destruct (Mem.storev _ _ _) in H1; try discriminate. - destruct (Mem.storev _ _ _) in H1; try discriminate. - inv H1. Simpl. reflexivity. } - { (* PStoreORRO *) - unfold parexec_store_o_offset in H1. - destruct (gpreg_o_expand _) as [[[r0 r1] r2] r3] in H1. - unfold eval_offset in H1; try discriminate. - destruct (Mem.storev _ _ _) in H1; try discriminate. - destruct (Mem.storev _ _ _) in H1; try discriminate. - destruct (Mem.storev _ _ _) in H1; try discriminate. - destruct (Mem.storev _ _ _) in H1; try discriminate. - inv H1. Simpl. reflexivity. } - - destruct (Mem.alloc _ _ _). destruct (Mem.store _ _ _ _ _). inv H1. Simpl. discriminate. - - destruct (Mem.loadv _ _ _); try discriminate. destruct (rs1 _); try discriminate. - destruct (Mem.free _ _ _ _). inv H1. Simpl. discriminate. - - destruct rs; try discriminate. inv H1. Simpl. - - destruct rd; try discriminate. inv H1; Simpl. - - reflexivity. -Qed. - Lemma exec_straight_pc: forall c c' rs1 m1 rs2 m2, exec_straight c rs1 m1 c' rs2 m2 -> |