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verif_two_sum.v
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verif_two_sum.v
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Require Import VST.floyd.proofauto.
Require Import vcfloat.VCFloat.
Require Import vcfloat.FPCompCert.
Require Import DDModels.
Require Import TwoSum.
#[export] Instance CompSpecs :
compspecs. make_compspecs prog. Defined.
Definition Vprog : varspecs. mk_varspecs prog. Defined.
Set Bullet Behavior "Strict Subproofs".
Open Scope logic.
Definition st := Tstruct __1017 noattr.
Definition f2val (pq: ftype Tdouble * ftype Tdouble) : val*val :=
(Vfloat (fst pq), Vfloat (snd pq)).
Definition TwoSum_spec :=
DECLARE _TwoSum
WITH s: val, a : ftype Tdouble, b : ftype Tdouble
PRE [ tptr st, tdouble, tdouble ] (* c lang types *)
PROP()
PARAMS (s; Vfloat a; Vfloat b)
SEP(data_at_ Tsh st s) (* preds on mem *)
POST [ tvoid ]
PROP()
RETURN()
SEP(data_at Tsh st (f2val (TwoSumF a b)) s).
(* Collect the function-API specs together into Gprog: list funspec *)
Definition Gprog : funspecs := [TwoSum_spec].
(* The function satisfies its API spec (with a semax-body proof) *)
Lemma body_twoSum: semax_body Vprog Gprog f_TwoSum TwoSum_spec.
Proof.
start_function.
forward.
forward.
forward.
forward.
forward.
forward.
forward.
forward.
autorewrite with float_elim in *. (* for view only *)
unfold f2val, TwoSumF, fst, snd.
entailer!.
Qed.