forked from AbsInt/CompCert
-
Notifications
You must be signed in to change notification settings - Fork 2
/
Copy pathNeedOp.v
173 lines (159 loc) · 6.24 KB
/
NeedOp.v
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
(* *********************************************************************)
(* *)
(* The Compcert verified compiler *)
(* *)
(* Xavier Leroy, INRIA Paris-Rocquencourt *)
(* Prashanth Mundkur, SRI International *)
(* *)
(* Copyright Institut National de Recherche en Informatique et en *)
(* Automatique. All rights reserved. This file is distributed *)
(* under the terms of the INRIA Non-Commercial License Agreement. *)
(* *)
(* The contributions by Prashanth Mundkur are reused and adapted *)
(* under the terms of a Contributor License Agreement between *)
(* SRI International and INRIA. *)
(* *)
(* *********************************************************************)
Require Import Coqlib.
Require Import AST Integers Floats.
Require Import Values Memory Globalenvs.
Require Import Op RTL.
Require Import NeedDomain.
(** Neededness analysis for RISC-V operators *)
Definition op1 (nv: nval) := nv :: nil.
Definition op2 (nv: nval) := nv :: nv :: nil.
Definition needs_of_condition (cond: condition): list nval := nil.
Definition needs_of_operation (op: operation) (nv: nval): list nval :=
match op with
| Omove => op1 nv
| Ointconst n => nil
| Olongconst n => nil
| Ofloatconst n => nil
| Osingleconst n => nil
| Oaddrsymbol id ofs => nil
| Oaddrstack ofs => nil
| Ocast8signed => op1 (sign_ext 8 nv)
| Ocast16signed => op1 (sign_ext 16 nv)
| Oadd => op2 (modarith nv)
| Oaddimm n => op1 (modarith nv)
| Oneg => op1 (modarith nv)
| Osub => op2 (default nv)
| Omul => op2 (modarith nv)
| Omulhs | Omulhu | Odiv | Odivu | Omod | Omodu => op2 (default nv)
| Oand => op2 (bitwise nv)
| Oandimm n => op1 (andimm nv n)
| Oor => op2 (bitwise nv)
| Oorimm n => op1 (orimm nv n)
| Oxor => op2 (bitwise nv)
| Oxorimm n => op1 (bitwise nv)
| Oshl | Oshr | Oshru => op2 (default nv)
| Oshlimm n => op1 (shlimm nv n)
| Oshrimm n => op1 (shrimm nv n)
| Oshruimm n => op1 (shruimm nv n)
| Oshrximm n => op1 (default nv)
| Omakelong => op2 (default nv)
| Olowlong | Ohighlong => op1 (default nv)
| Ocast32signed => op1 (default nv)
| Ocast32unsigned => op1 (default nv)
| Oaddl => op2 (default nv)
| Oaddlimm n => op1 (default nv)
| Onegl => op1 (default nv)
| Osubl => op2 (default nv)
| Omull => op2 (default nv)
| Omullhs | Omullhu | Odivl | Odivlu | Omodl | Omodlu => op2 (default nv)
| Oandl => op2 (default nv)
| Oandlimm n => op1 (default nv)
| Oorl => op2 (default nv)
| Oorlimm n => op1 (default nv)
| Oxorl => op2 (default nv)
| Oxorlimm n => op1 (default nv)
| Oshll | Oshrl | Oshrlu => op2 (default nv)
| Oshllimm n => op1 (default nv)
| Oshrlimm n => op1 (default nv)
| Oshrluimm n => op1 (default nv)
| Oshrxlimm n => op1 (default nv)
| Onegf | Oabsf => op1 (default nv)
| Oaddf | Osubf | Omulf | Odivf => op2 (default nv)
| Onegfs | Oabsfs => op1 (default nv)
| Oaddfs | Osubfs | Omulfs | Odivfs => op2 (default nv)
| Ofloatofsingle | Osingleoffloat => op1 (default nv)
| Ointoffloat | Ointuoffloat | Ofloatofint | Ofloatofintu => op1 (default nv)
| Olongoffloat | Olonguoffloat | Ofloatoflong | Ofloatoflongu => op1 (default nv)
| Ointofsingle | Ointuofsingle | Osingleofint | Osingleofintu => op1 (default nv)
| Olongofsingle | Olonguofsingle | Osingleoflong | Osingleoflongu => op1 (default nv)
| Ocmp c => needs_of_condition c
end.
Definition operation_is_redundant (op: operation) (nv: nval): bool :=
match op with
| Ocast8signed => sign_ext_redundant 8 nv
| Ocast16signed => sign_ext_redundant 16 nv
| Oandimm n => andimm_redundant nv n
| Oorimm n => orimm_redundant nv n
| _ => false
end.
Ltac InvAgree :=
match goal with
| [H: vagree_list nil _ _ |- _ ] => inv H; InvAgree
| [H: vagree_list (_::_) _ _ |- _ ] => inv H; InvAgree
| _ => idtac
end.
Ltac TrivialExists :=
match goal with
| [ |- exists v, Some ?x = Some v /\ _ ] => exists x; split; auto
| _ => idtac
end.
Section SOUNDNESS.
Variable ge: genv.
Variable sp: block.
Variables m m': mem.
Hypothesis PERM: forall b ofs k p, Mem.perm m b ofs k p -> Mem.perm m' b ofs k p.
Lemma needs_of_condition_sound:
forall cond args b args',
eval_condition cond args m = Some b ->
vagree_list args args' (needs_of_condition cond) ->
eval_condition cond args' m' = Some b.
Proof.
intros. unfold needs_of_condition in H0.
eapply default_needs_of_condition_sound; eauto.
Qed.
Lemma needs_of_operation_sound:
forall op args v nv args',
eval_operation ge (Vptr sp Ptrofs.zero) op args m = Some v ->
vagree_list args args' (needs_of_operation op nv) ->
nv <> Nothing ->
exists v',
eval_operation ge (Vptr sp Ptrofs.zero) op args' m' = Some v'
/\ vagree v v' nv.
Proof.
unfold needs_of_operation; intros; destruct op; try (eapply default_needs_of_operation_sound; eauto; fail);
simpl in *; FuncInv; InvAgree; TrivialExists.
- apply sign_ext_sound; auto. compute; auto.
- apply sign_ext_sound; auto. compute; auto.
- apply add_sound; auto.
- apply add_sound; auto with na.
- apply neg_sound; auto.
- apply mul_sound; auto.
- apply and_sound; auto.
- apply andimm_sound; auto.
- apply or_sound; auto.
- apply orimm_sound; auto.
- apply xor_sound; auto.
- apply xor_sound; auto with na.
- apply shlimm_sound; auto.
- apply shrimm_sound; auto.
- apply shruimm_sound; auto.
Qed.
Lemma operation_is_redundant_sound:
forall op nv arg1 args v arg1' args',
operation_is_redundant op nv = true ->
eval_operation ge (Vptr sp Ptrofs.zero) op (arg1 :: args) m = Some v ->
vagree_list (arg1 :: args) (arg1' :: args') (needs_of_operation op nv) ->
vagree v arg1' nv.
Proof.
intros. destruct op; simpl in *; try discriminate; inv H1; FuncInv; subst.
- apply sign_ext_redundant_sound; auto. lia.
- apply sign_ext_redundant_sound; auto. lia.
- apply andimm_redundant_sound; auto.
- apply orimm_redundant_sound; auto.
Qed.
End SOUNDNESS.