From 7698300cfe2d3f944ce2e1d4a60a263620487718 Mon Sep 17 00:00:00 2001 From: xleroy Date: Fri, 20 Dec 2013 13:05:53 +0000 Subject: Merge of branch value-analysis. git-svn-id: https://yquem.inria.fr/compcert/svn/compcert/trunk@2381 fca1b0fc-160b-0410-b1d3-a4f43f01ea2e --- powerpc/ValueAOp.v | 160 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 160 insertions(+) create mode 100644 powerpc/ValueAOp.v (limited to 'powerpc/ValueAOp.v') diff --git a/powerpc/ValueAOp.v b/powerpc/ValueAOp.v new file mode 100644 index 00000000..12cb8e4a --- /dev/null +++ b/powerpc/ValueAOp.v @@ -0,0 +1,160 @@ +Require Import Coqlib. +Require Import AST. +Require Import Integers. +Require Import Floats. +Require Import Values. +Require Import Memory. +Require Import Globalenvs. +Require Import Op. +Require Import ValueDomain. +Require Import RTL. + +(** Value analysis for PowerPC operators *) + +Definition eval_static_condition (cond: condition) (vl: list aval): abool := + match cond, vl with + | Ccomp c, v1 :: v2 :: nil => cmp_bool c v1 v2 + | Ccompu c, v1 :: v2 :: nil => cmpu_bool c v1 v2 + | Ccompimm c n, v1 :: nil => cmp_bool c v1 (I n) + | Ccompuimm c n, v1 :: nil => cmpu_bool c v1 (I n) + | Ccompf c, v1 :: v2 :: nil => cmpf_bool c v1 v2 + | Cnotcompf c, v1 :: v2 :: nil => cnot (cmpf_bool c v1 v2) + | Cmaskzero n, v1 :: nil => maskzero v1 n + | Cmasknotzero n, v1 :: nil => cnot (maskzero v1 n) + | _, _ => Bnone + end. + +Definition eval_static_addressing (addr: addressing) (vl: list aval): aval := + match addr, vl with + | Aindexed n, v1::nil => add v1 (I n) + | Aindexed2, v1::v2::nil => add v1 v2 + | Aglobal s ofs, nil => Ptr (Gl s ofs) + | Abased s ofs, v1::nil => add (Ptr (Gl s ofs)) v1 + | Ainstack ofs, nil => Ptr(Stk ofs) + | _, _ => Vbot + end. + +Definition eval_static_operation (op: operation) (vl: list aval): aval := + match op, vl with + | Omove, v1::nil => v1 + | Ointconst n, nil => I n + | Ofloatconst n, nil => if propagate_float_constants tt then F n else ftop + | Oaddrsymbol id ofs, nil => Ptr (Gl id ofs) + | Oaddrstack ofs, nil => Ptr (Stk ofs) + | Ocast8signed, v1 :: nil => sign_ext 8 v1 + | Ocast16signed, v1 :: nil => sign_ext 16 v1 + | Oadd, v1::v2::nil => add v1 v2 + | Oaddimm n, v1::nil => add v1 (I n) + | Oaddsymbol id ofs, v1::nil => add (Ptr (Gl id ofs)) v1 + | Osub, v1::v2::nil => sub v1 v2 + | Osubimm n, v1::nil => sub (I n) v1 + | Omul, v1::v2::nil => mul v1 v2 + | Omulimm n, v1::nil => mul v1 (I n) + | Omulhs, v1::v2::nil => mulhs v1 v2 + | Omulhu, v1::v2::nil => mulhu v1 v2 + | Odiv, v1::v2::nil => divs v1 v2 + | Odivu, v1::v2::nil => divu v1 v2 + | Oand, v1::v2::nil => and v1 v2 + | Oandimm n, v1::nil => and v1 (I n) + | Oor, v1::v2::nil => or v1 v2 + | Oorimm n, v1::nil => or v1 (I n) + | Oxor, v1::v2::nil => xor v1 v2 + | Oxorimm n, v1::nil => xor v1 (I n) + | Onot, v1::nil => notint v1 + | Onand, v1::v2::nil => notint(and v1 v2) + | Onor, v1::v2::nil => notint(or v1 v2) + | Onxor, v1::v2::nil => notint(xor v1 v2) + | Oandc, v1::v2::nil => and v1 (notint v2) + | Oorc, v1::v2::nil => or v1 (notint v2) + | Oshl, v1::v2::nil => shl v1 v2 + | Oshr, v1::v2::nil => shr v1 v2 + | Oshrimm n, v1::nil => shr v1 (I n) + | Oshrximm n, v1::nil => shrx v1 (I n) + | Oshru, v1::v2::nil => shru v1 v2 + | Orolm amount mask, v1::nil => rolm v1 amount mask + | Oroli amount mask, v1::v2::nil => or (and v1 (I (Int.not mask))) (rolm v2 amount mask) + | Onegf, v1::nil => negf v1 + | Oabsf, v1::nil => absf v1 + | Oaddf, v1::v2::nil => addf v1 v2 + | Osubf, v1::v2::nil => subf v1 v2 + | Omulf, v1::v2::nil => mulf v1 v2 + | Odivf, v1::v2::nil => divf v1 v2 + | Osingleoffloat, v1::nil => singleoffloat v1 + | Ointoffloat, v1::nil => intoffloat v1 + | Ofloatofwords, v1::v2::nil => floatofwords v1 v2 + | Omakelong, v1::v2::nil => longofwords v1 v2 + | Olowlong, v1::nil => loword v1 + | Ohighlong, v1::nil => hiword v1 + | Ocmp c, _ => of_optbool (eval_static_condition c vl) + | _, _ => Vbot + end. + +Section SOUNDNESS. + +Variable bc: block_classification. +Variable ge: genv. +Hypothesis GENV: genv_match bc ge. +Variable sp: block. +Hypothesis STACK: bc sp = BCstack. + +Theorem eval_static_condition_sound: + forall cond vargs m aargs, + list_forall2 (vmatch bc) vargs aargs -> + cmatch (eval_condition cond vargs m) (eval_static_condition cond aargs). +Proof. + intros until aargs; intros VM. + inv VM. + destruct cond; auto with va. + inv H0. + destruct cond; simpl; eauto with va. + inv H2. + destruct cond; simpl; eauto with va. + destruct cond; auto with va. +Qed. + +Lemma symbol_address_sound: + forall id ofs, + vmatch bc (symbol_address ge id ofs) (Ptr (Gl id ofs)). +Proof. + intros; apply symbol_address_sound; apply GENV. +Qed. + +Hint Resolve symbol_address_sound: va. + +Ltac InvHyps := + match goal with + | [H: None = Some _ |- _ ] => discriminate + | [H: Some _ = Some _ |- _] => inv H + | [H1: match ?vl with nil => _ | _ :: _ => _ end = Some _ , + H2: list_forall2 _ ?vl _ |- _ ] => inv H2; InvHyps + | _ => idtac + end. + +Theorem eval_static_addressing_sound: + forall addr vargs vres aargs, + eval_addressing ge (Vptr sp Int.zero) addr vargs = Some vres -> + list_forall2 (vmatch bc) vargs aargs -> + vmatch bc vres (eval_static_addressing addr aargs). +Proof. + unfold eval_addressing, eval_static_addressing; intros; + destruct addr; InvHyps; eauto with va. + rewrite Int.add_zero_l; auto with va. +Qed. + +Theorem eval_static_operation_sound: + forall op vargs m vres aargs, + eval_operation ge (Vptr sp Int.zero) op vargs m = Some vres -> + list_forall2 (vmatch bc) vargs aargs -> + vmatch bc vres (eval_static_operation op aargs). +Proof. + unfold eval_operation, eval_static_operation; intros; + destruct op; InvHyps; eauto with va. + destruct (propagate_float_constants tt); constructor. + rewrite Int.add_zero_l; eauto with va. + fold (Val.sub (Vint i) a1). auto with va. + apply floatofwords_sound; auto. + apply of_optbool_sound. eapply eval_static_condition_sound; eauto. +Qed. + +End SOUNDNESS. + -- cgit