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authorDavid Monniaux <david.monniaux@univ-grenoble-alpes.fr>2019-09-20 16:20:11 +0200
committerDavid Monniaux <david.monniaux@univ-grenoble-alpes.fr>2019-09-20 16:20:11 +0200
commit71cec9c9126ee4385ce12fd29dec557995d5a903 (patch)
tree26e86fc9b15680721baea86d5294ee9faaf2508c /backend/SelectDivproof.v
parent1801685f8352b7a120d87d5b529d290728129529 (diff)
parente1725209b2b4401adc63ce5238fa5db7c134609c (diff)
downloadcompcert-kvx-71cec9c9126ee4385ce12fd29dec557995d5a903.tar.gz
compcert-kvx-71cec9c9126ee4385ce12fd29dec557995d5a903.zip
Merge tag 'v3.6' of https://github.com/AbsInt/CompCert into mppa-work-upstream-merge
Diffstat (limited to 'backend/SelectDivproof.v')
-rw-r--r--backend/SelectDivproof.v20
1 files changed, 9 insertions, 11 deletions
diff --git a/backend/SelectDivproof.v b/backend/SelectDivproof.v
index a8ee8453..1873da4d 100644
--- a/backend/SelectDivproof.v
+++ b/backend/SelectDivproof.v
@@ -764,8 +764,8 @@ Lemma eval_divlu_mull:
Proof.
intros. unfold divlu_mull. exploit (divlu_mul_shift x); eauto. intros [A B].
assert (A0: eval_expr ge sp e m le (Eletvar O) (Vlong x)) by (constructor; auto).
- exploit eval_mullhu. eauto. eexact A0. instantiate (1 := Int64.repr M). intros (v1 & A1 & B1).
- exploit eval_shrluimm. eauto. eexact A1. instantiate (1 := Int.repr p). intros (v2 & A2 & B2).
+ exploit eval_mullhu. try apply HELPERS. eexact A0. instantiate (1 := Int64.repr M). intros (v1 & A1 & B1).
+ exploit eval_shrluimm. try apply HELPERS. eexact A1. instantiate (1 := Int.repr p). intros (v2 & A2 & B2).
simpl in B1; inv B1. simpl in B2. replace (Int.ltu (Int.repr p) Int64.iwordsize') with true in B2. inv B2.
rewrite B. assumption.
unfold Int.ltu. rewrite Int.unsigned_repr. rewrite zlt_true; auto. tauto.
@@ -835,17 +835,17 @@ Proof.
intros. unfold divls_mull.
assert (A0: eval_expr ge sp e m le (Eletvar O) (Vlong x)).
{ constructor; auto. }
- exploit eval_mullhs. eauto. eexact A0. instantiate (1 := Int64.repr M). intros (v1 & A1 & B1).
- exploit eval_addl; auto; try apply HELPERS. eexact A1. eexact A0. intros (v2 & A2 & B2).
- exploit eval_shrluimm. eauto. eexact A0. instantiate (1 := Int.repr 63). intros (v3 & A3 & B3).
+ exploit eval_mullhs. try apply HELPERS. eexact A0. instantiate (1 := Int64.repr M). intros (v1 & A1 & B1).
+ exploit eval_addl. auto. eexact A1. eexact A0. intros (v2 & A2 & B2).
+ exploit eval_shrluimm. try apply HELPERS. eexact A0. instantiate (1 := Int.repr 63). intros (v3 & A3 & B3).
set (a4 := if zlt M Int64.half_modulus
then mullhs (Eletvar 0) (Int64.repr M)
else addl (mullhs (Eletvar 0) (Int64.repr M)) (Eletvar 0)).
set (v4 := if zlt M Int64.half_modulus then v1 else v2).
assert (A4: eval_expr ge sp e m le a4 v4).
{ unfold a4, v4; destruct (zlt M Int64.half_modulus); auto. }
- exploit eval_shrlimm. eauto. eexact A4. instantiate (1 := Int.repr p). intros (v5 & A5 & B5).
- exploit eval_addl; auto; try apply HELPERS. eexact A5. eexact A3. intros (v6 & A6 & B6).
+ exploit eval_shrlimm. try apply HELPERS. eexact A4. instantiate (1 := Int.repr p). intros (v5 & A5 & B5).
+ exploit eval_addl. auto. eexact A5. eexact A3. intros (v6 & A6 & B6).
assert (RANGE: forall x, 0 <= x < 64 -> Int.ltu (Int.repr x) Int64.iwordsize' = true).
{ intros. unfold Int.ltu. rewrite Int.unsigned_repr. rewrite zlt_true by tauto. auto.
assert (64 < Int.max_unsigned) by (compute; auto). omega. }
@@ -949,8 +949,7 @@ 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.
+ repeat (econstructor; eauto).
destruct x; simpl; auto. erewrite Float.div_mul_inverse; eauto.
+ apply eval_divf_base; trivial.
- apply eval_divf_base; trivial.
@@ -965,8 +964,7 @@ Proof.
intros until y. unfold divfs. destruct (divfs_match b); intros.
- unfold divfsimm. destruct (Float32.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.
+ repeat (econstructor; eauto).
destruct x; simpl; auto. erewrite Float32.div_mul_inverse; eauto.
+ apply eval_divfs_base; trivial.
- apply eval_divfs_base; trivial.