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authorBernhard Schommer <bschommer@users.noreply.github.com>2017-05-03 11:18:32 +0200
committerGitHub <noreply@github.com>2017-05-03 11:18:32 +0200
commit7873af34a9520ee5a8a6f10faddf3255a4ff02b2 (patch)
tree74500c845c99b39ba91a5507656060dea60404ea /common/Values.v
parent25ea686abc4cce13aba92196dbeb284f727b6e0e (diff)
downloadcompcert-kvx-7873af34a9520ee5a8a6f10faddf3255a4ff02b2.tar.gz
compcert-kvx-7873af34a9520ee5a8a6f10faddf3255a4ff02b2.zip
Hybrid 64bit/32bit PowerPC port
This commit adds code generation for 64bit PowerPC architectures which execute 32bit applications. The main difference to the normal 32bit PowerPC port is that it uses the available 64bit instructions instead of using the runtime library functions. However pointers are still 32bit and the 32bit calling convention is used. In order to use this port the target architecture must be either in Server execution mode or if in Embedded execution mode the high order 32 bits of GPRs must be implemented in 32-bit mode. Furthermore the operating system must preserve the high order 32 bits of GPRs.
Diffstat (limited to 'common/Values.v')
-rw-r--r--common/Values.v93
1 files changed, 71 insertions, 22 deletions
diff --git a/common/Values.v b/common/Values.v
index cfabb7a5..d086c69f 100644
--- a/common/Values.v
+++ b/common/Values.v
@@ -16,7 +16,6 @@
(** This module defines the type of values that is used in the dynamic
semantics of all our intermediate languages. *)
-Require Archi.
Require Import Coqlib.
Require Import AST.
Require Import Integers.
@@ -668,6 +667,12 @@ Definition modlu (v1 v2: val): option val :=
| _, _ => None
end.
+Definition addl_carry (v1 v2 cin: val): val :=
+ match v1, v2, cin with
+ | Vlong n1, Vlong n2, Vlong c => Vlong(Int64.add_carry n1 n2 c)
+ | _, _, _ => Vundef
+ end.
+
Definition subl_overflow (v1 v2: val) : val :=
match v1, v2 with
| Vlong n1, Vlong n2 => Vint (Int.repr (Int64.unsigned (Int64.sub_overflow n1 n2 Int64.zero)))
@@ -734,6 +739,15 @@ Definition shrxl (v1 v2: val): option val :=
| _, _ => None
end.
+Definition shrl_carry (v1 v2: val): val :=
+ match v1, v2 with
+ | Vlong n1, Vint n2 =>
+ if Int.ltu n2 Int64.iwordsize'
+ then Vlong(Int64.shr_carry' n1 n2)
+ else Vundef
+ | _, _ => Vundef
+ end.
+
Definition roll (v1 v2: val): val :=
match v1, v2 with
| Vlong n1, Vint n2 => Vlong(Int64.rol n1 (Int64.repr (Int.unsigned n2)))
@@ -746,9 +760,9 @@ Definition rorl (v1 v2: val): val :=
| _, _ => Vundef
end.
-Definition rolml (v: val) (amount mask: int64): val :=
+Definition rolml (v: val) (amount: int) (mask: int64): val :=
match v with
- | Vlong n => Vlong(Int64.rolm n amount mask)
+ | Vlong n => Vlong(Int64.rolm n (Int64.repr (Int.unsigned amount)) mask)
| _ => Vundef
end.
@@ -1073,7 +1087,7 @@ Proof.
symmetry. auto with ptrofs.
symmetry. rewrite Int.add_commut. auto with ptrofs.
- destruct (eq_block b b0); auto.
- f_equal. rewrite Ptrofs.add_commut. rewrite Ptrofs.sub_add_r. auto with ptrofs.
+ f_equal. rewrite Ptrofs.add_commut. rewrite Ptrofs.sub_add_r. auto with ptrofs.
Qed.
Theorem mul_commut: forall x y, mul x y = mul y x.
@@ -1133,6 +1147,28 @@ Proof.
generalize (Int.eq_spec i0 Int.zero). rewrite Heqb; auto.
Qed.
+Theorem modls_divls:
+ forall x y z,
+ modls x y = Some z -> exists v, divls x y = Some v /\ z = subl x (mull v y).
+Proof.
+ intros. destruct x; destruct y; simpl in *; try discriminate.
+ destruct (Int64.eq i0 Int64.zero
+ || Int64.eq i (Int64.repr Int64.min_signed) && Int64.eq i0 Int64.mone); inv H.
+ exists (Vlong (Int64.divs i i0)); split; auto.
+ simpl. rewrite Int64.mods_divs. auto.
+Qed.
+
+Theorem modlu_divlu:
+ forall x y z,
+ modlu x y = Some z -> exists v, divlu x y = Some v /\ z = subl x (mull v y).
+Proof.
+ intros. destruct x; destruct y; simpl in *; try discriminate.
+ destruct (Int64.eq i0 Int64.zero) eqn:?; inv H.
+ exists (Vlong (Int64.divu i i0)); split; auto.
+ simpl. rewrite Int64.modu_divu. auto.
+ generalize (Int64.eq_spec i0 Int64.zero). rewrite Heqb; auto.
+Qed.
+
Theorem divs_pow2:
forall x n logn y,
Int.is_power2 n = Some logn -> Int.ltu logn (Int.repr 31) = true ->
@@ -1282,7 +1318,7 @@ Proof.
symmetry; apply zlt_true. change (Int.unsigned n < 32); omega.
symmetry; apply zlt_true. unfold Int.sub. change (Int.unsigned (Int.repr 32)) with 32.
assert (Int.unsigned n <> 0). { red; intros; elim H. rewrite <- (Int.repr_unsigned n), H0. auto. }
- rewrite Int.unsigned_repr.
+ rewrite Int.unsigned_repr.
change (Int.unsigned Int.iwordsize) with 32; omega.
assert (32 < Int.max_unsigned) by reflexivity. omega.
Qed.
@@ -1384,7 +1420,7 @@ Proof.
symmetry. auto with ptrofs.
symmetry. rewrite Int64.add_commut. auto with ptrofs.
- destruct (eq_block b b0); auto.
- simpl; f_equal. rewrite Ptrofs.add_commut. rewrite Ptrofs.sub_add_r. auto with ptrofs.
+ simpl; f_equal. rewrite Ptrofs.add_commut. rewrite Ptrofs.sub_add_r. auto with ptrofs.
- rewrite Int64.add_commut. rewrite Int64.sub_add_r. auto.
Qed.
@@ -1462,7 +1498,7 @@ Proof.
|| Int64.eq i (Int64.repr Int64.min_signed) && Int64.eq n Int64.mone); inv H3.
simpl. rewrite H0. decEq. decEq.
generalize (Int64.is_power2'_correct _ _ H); intro.
- unfold Int64.shrx'. rewrite Int64.shl'_mul_two_p. rewrite <- H1.
+ unfold Int64.shrx'. rewrite Int64.shl'_mul_two_p. rewrite <- H1.
rewrite Int64.mul_commut. rewrite Int64.mul_one.
rewrite Int64.repr_unsigned. auto.
Qed.
@@ -1491,6 +1527,19 @@ Proof.
simpl. decEq. symmetry. eapply Int64.modu_and; eauto.
Qed.
+Theorem shrxl_carry:
+ forall x y z,
+ shrxl x y = Some z ->
+ addl (shrl x y) (shrl_carry x y) = z.
+Proof.
+ intros. destruct x; destruct y; simpl in H; inv H.
+ destruct (Int.ltu i0 (Int.repr 63)) eqn:?; inv H1.
+ exploit Int.ltu_inv; eauto. change (Int.unsigned (Int.repr 63)) with 63. intros.
+ assert (Int.ltu i0 Int64.iwordsize' = true).
+ unfold Int.ltu. apply zlt_true. change (Int.unsigned Int64.iwordsize') with 64. omega.
+ simpl. rewrite H0. simpl. decEq. rewrite Int64.shrx'_carry; auto.
+Qed.
+
Theorem shrxl_shrl_2:
forall n x z,
shrxl x (Vint n) = Some z ->
@@ -1511,7 +1560,7 @@ Proof.
symmetry; apply zlt_true. change (Int.unsigned n < 64); omega.
symmetry; apply zlt_true. unfold Int.sub. change (Int.unsigned (Int.repr 64)) with 64.
assert (Int.unsigned n <> 0). { red; intros; elim H. rewrite <- (Int.repr_unsigned n), H0. auto. }
- rewrite Int.unsigned_repr.
+ rewrite Int.unsigned_repr.
change (Int.unsigned Int64.iwordsize') with 64; omega.
assert (64 < Int.max_unsigned) by reflexivity. omega.
Qed.
@@ -1603,7 +1652,7 @@ Theorem swap_cmpu_bool:
Proof.
assert (E: forall c, cmp_different_blocks (swap_comparison c) = cmp_different_blocks c).
{ destruct c; auto. }
- intros; unfold cmpu_bool. rewrite ! E. destruct Archi.ptr64 eqn:SF, x, y; auto.
+ intros; unfold cmpu_bool. rewrite ! E. destruct Archi.ptr64 eqn:SF, x, y; auto.
- rewrite Int.swap_cmpu. auto.
- rewrite Int.swap_cmpu. auto.
- destruct (eq_block b b0); subst.
@@ -1630,7 +1679,7 @@ Theorem swap_cmplu_bool:
Proof.
assert (E: forall c, cmp_different_blocks (swap_comparison c) = cmp_different_blocks c).
{ destruct c; auto. }
- intros; unfold cmplu_bool. rewrite ! E. destruct Archi.ptr64 eqn:SF, x, y; auto.
+ intros; unfold cmplu_bool. rewrite ! E. destruct Archi.ptr64 eqn:SF, x, y; auto.
- rewrite Int64.swap_cmpu. auto.
- destruct (eq_block b b0); subst.
rewrite dec_eq_true.
@@ -1937,7 +1986,7 @@ Qed.
Lemma offset_ptr_assoc:
forall v d1 d2, offset_ptr (offset_ptr v d1) d2 = offset_ptr v (Ptrofs.add d1 d2).
Proof.
- intros. destruct v; simpl; auto. f_equal. apply Ptrofs.add_assoc.
+ intros. destruct v; simpl; auto. f_equal. apply Ptrofs.add_assoc.
Qed.
(** * Values and memory injections *)
@@ -1988,7 +2037,7 @@ Hint Resolve inject_list_nil inject_list_cons.
Lemma inject_ptrofs:
forall mi i, inject mi (Vptrofs i) (Vptrofs i).
Proof.
- unfold Vptrofs; intros. destruct Archi.ptr64; auto.
+ unfold Vptrofs; intros. destruct Archi.ptr64; auto.
Qed.
Hint Resolve inject_ptrofs.
@@ -2002,7 +2051,7 @@ Lemma load_result_inject:
inject f v1 v2 ->
inject f (Val.load_result chunk v1) (Val.load_result chunk v2).
Proof.
- intros. inv H; destruct chunk; simpl; try constructor; destruct Archi.ptr64; econstructor; eauto.
+ intros. inv H; destruct chunk; simpl; try constructor; destruct Archi.ptr64; econstructor; eauto.
Qed.
Remark add_inject:
@@ -2012,11 +2061,11 @@ Remark add_inject:
inject f (Val.add v1 v2) (Val.add v1' v2').
Proof.
intros. unfold Val.add. destruct Archi.ptr64 eqn:SF.
-- inv H; inv H0; constructor.
+- inv H; inv H0; constructor.
- inv H; inv H0; simpl; auto.
-+ econstructor; eauto.
++ econstructor; eauto.
rewrite ! Ptrofs.add_assoc. decEq. apply Ptrofs.add_commut.
-+ econstructor; eauto.
++ econstructor; eauto.
rewrite ! Ptrofs.add_assoc. decEq. apply Ptrofs.add_commut.
Qed.
@@ -2029,7 +2078,7 @@ Proof.
intros. unfold Val.sub. destruct Archi.ptr64 eqn:SF.
- inv H; inv H0; constructor.
- inv H; inv H0; simpl; auto.
-+ econstructor; eauto.
++ econstructor; eauto.
rewrite Ptrofs.sub_add_l. auto.
+ destruct (eq_block b1 b0); auto.
subst. rewrite H1 in H. inv H. rewrite dec_eq_true.
@@ -2044,11 +2093,11 @@ Remark addl_inject:
Proof.
intros. unfold Val.addl. destruct Archi.ptr64 eqn:SF.
- inv H; inv H0; simpl; auto.
-+ econstructor; eauto.
++ econstructor; eauto.
rewrite ! Ptrofs.add_assoc. decEq. apply Ptrofs.add_commut.
-+ econstructor; eauto.
++ econstructor; eauto.
rewrite ! Ptrofs.add_assoc. decEq. apply Ptrofs.add_commut.
-- inv H; inv H0; constructor.
+- inv H; inv H0; constructor.
Qed.
Remark subl_inject:
@@ -2059,7 +2108,7 @@ Remark subl_inject:
Proof.
intros. unfold Val.subl. destruct Archi.ptr64 eqn:SF.
- inv H; inv H0; simpl; auto.
-+ econstructor; eauto.
++ econstructor; eauto.
rewrite Ptrofs.sub_add_l. auto.
+ destruct (eq_block b1 b0); auto.
subst. rewrite H1 in H. inv H. rewrite dec_eq_true.
@@ -2126,7 +2175,7 @@ Lemma cmpu_bool_inject:
Proof.
Local Opaque Int.add Ptrofs.add.
intros.
- unfold cmpu_bool in *; destruct Archi.ptr64;
+ unfold cmpu_bool in *; destruct Archi.ptr64;
inv H; simpl in H1; try discriminate; inv H0; simpl in H1; try discriminate; simpl; auto.
- fold (weak_valid_ptr1 b1 (Ptrofs.unsigned ofs1)) in H1.
fold (weak_valid_ptr2 b2 (Ptrofs.unsigned (Ptrofs.add ofs1 (Ptrofs.repr delta)))).