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Diffstat (limited to 'backend/SelectDivproof.v')
| -rw-r--r-- | backend/SelectDivproof.v | 18 |
1 files changed, 18 insertions, 0 deletions
diff --git a/backend/SelectDivproof.v b/backend/SelectDivproof.v index 4d8f96a..0719a5e 100644 --- a/backend/SelectDivproof.v +++ b/backend/SelectDivproof.v @@ -544,4 +544,22 @@ Proof. - eapply eval_mods_base; eauto. Qed. +(** * Floating-point division *) + +Theorem eval_divf: + forall le a b x y, + eval_expr ge sp e m le a x -> + eval_expr ge sp e m le b y -> + exists v, eval_expr ge sp e m le (divf a b) v /\ Val.lessdef (Val.divf x y) v. +Proof. + intros until y. unfold divf. destruct (divf_match b); intros. +- unfold divfimm. destruct (Float.exact_inverse n2) as [n2' | ] eqn:EINV. + + inv H0. inv H4. simpl in H6. inv H6. econstructor; split. + EvalOp. constructor. eauto. constructor. EvalOp. simpl; eauto. constructor. + simpl; eauto. + destruct x; simpl; auto. erewrite Float.div_mul_inverse; eauto. + + TrivialExists. +- TrivialExists. +Qed. + End CMCONSTRS. |