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Diffstat (limited to 'riscV/ExtValues.v')
-rw-r--r-- | riscV/ExtValues.v | 40 |
1 files changed, 40 insertions, 0 deletions
diff --git a/riscV/ExtValues.v b/riscV/ExtValues.v new file mode 100644 index 00000000..0f29e837 --- /dev/null +++ b/riscV/ExtValues.v @@ -0,0 +1,40 @@ +Require Import Coqlib. +Require Import Integers. +Require Import Values. +Require Import Floats. + +Definition bitwise_select_int b vtrue vfalse := + Val.or (Val.and (Val.neg b) vtrue) + (Val.and (Val.sub b Vone) vfalse). + +Lemma bitwise_select_int_true : + forall vtrue vfalse, + bitwise_select_int (Val.of_optbool (Some true)) (Vint vtrue) (Vint vfalse) + = Vint vtrue. +Proof. + intros. cbn. f_equal. + change (Int.neg Int.one) with Int.mone. + rewrite Int.and_commut. + rewrite Int.and_mone. + rewrite Int.sub_idem. + rewrite Int.and_commut. + rewrite Int.and_zero. + apply Int.or_zero. +Qed. + +Lemma bitwise_select_int_false : + forall vtrue vfalse, + bitwise_select_int (Val.of_optbool (Some false)) (Vint vtrue) (Vint vfalse) + = Vint vfalse. +Proof. + intros. cbn. f_equal. + rewrite Int.neg_zero. + rewrite Int.and_commut. + rewrite Int.and_zero. + rewrite Int.sub_zero_r. + change (Int.neg Int.one) with Int.mone. + rewrite Int.and_commut. + rewrite Int.and_mone. + rewrite Int.or_commut. + apply Int.or_zero. +Qed. |