diff options
Diffstat (limited to 'riscV/SelectOpproof.v')
| -rw-r--r-- | riscV/SelectOpproof.v | 51 |
1 files changed, 35 insertions, 16 deletions
diff --git a/riscV/SelectOpproof.v b/riscV/SelectOpproof.v index 9966305c..7f2014dc 100644 --- a/riscV/SelectOpproof.v +++ b/riscV/SelectOpproof.v @@ -17,17 +17,10 @@ (** Correctness of instruction selection for operators *) -Require Import Coqlib. -Require Import Maps. -Require Import AST. -Require Import Integers. -Require Import Floats. -Require Import Values. -Require Import Memory. -Require Import Globalenvs. -Require Import Cminor. -Require Import Op. -Require Import CminorSel. +Require Import Coqlib Zbits. +Require Import AST Integers Floats. +Require Import Values Memory Builtins Globalenvs. +Require Import Cminor Op CminorSel. Require Import SelectOp. Require Import OpHelpers. Require Import OpHelpersproof. @@ -376,7 +369,7 @@ Proof. change (Int.ltu (Int.repr 32) Int64.iwordsize') with true; simpl. apply Val.lessdef_same. f_equal. transitivity (Int.repr (Z.shiftr (Int.signed i * Int.signed i0) 32)). - unfold Int.mulhs; f_equal. rewrite Int.Zshiftr_div_two_p by omega. reflexivity. + unfold Int.mulhs; f_equal. rewrite Zshiftr_div_two_p by omega. reflexivity. apply Int.same_bits_eq; intros n N. change Int.zwordsize with 32 in *. assert (N1: 0 <= n < 64) by omega. @@ -404,7 +397,7 @@ Proof. change (Int.ltu (Int.repr 32) Int64.iwordsize') with true; simpl. apply Val.lessdef_same. f_equal. transitivity (Int.repr (Z.shiftr (Int.unsigned i * Int.unsigned i0) 32)). - unfold Int.mulhu; f_equal. rewrite Int.Zshiftr_div_two_p by omega. reflexivity. + unfold Int.mulhu; f_equal. rewrite Zshiftr_div_two_p by omega. reflexivity. apply Int.same_bits_eq; intros n N. change Int.zwordsize with 32 in *. assert (N1: 0 <= n < 64) by omega. @@ -774,7 +767,7 @@ Qed. Theorem eval_cast8unsigned: unary_constructor_sound cast8unsigned (Val.zero_ext 8). Proof. red; intros until x. unfold cast8unsigned. - rewrite Val.zero_ext_and. apply eval_andimm. compute; auto. + rewrite Val.zero_ext_and. apply eval_andimm. omega. Qed. Theorem eval_cast16signed: unary_constructor_sound cast16signed (Val.sign_ext 16). @@ -787,7 +780,7 @@ Qed. Theorem eval_cast16unsigned: unary_constructor_sound cast16unsigned (Val.zero_ext 16). Proof. red; intros until x. unfold cast8unsigned. - rewrite Val.zero_ext_and. apply eval_andimm. compute; auto. + rewrite Val.zero_ext_and. apply eval_andimm. omega. Qed. Theorem eval_intoffloat: @@ -876,6 +869,20 @@ Proof. red; intros. unfold floatofsingle. TrivialExists. Qed. +Theorem eval_select: + forall le ty cond al vl a1 v1 a2 v2 a b, + select ty cond al a1 a2 = Some a -> + eval_exprlist ge sp e m le al vl -> + eval_expr ge sp e m le a1 v1 -> + eval_expr ge sp e m le a2 v2 -> + eval_condition cond vl m = Some b -> + exists v, + eval_expr ge sp e m le a v + /\ Val.lessdef (Val.select (Some b) v1 v2 ty) v. +Proof. + unfold select; intros; discriminate. +Qed. + Theorem eval_addressing: forall le chunk a v b ofs, eval_expr ge sp e m le a v -> @@ -926,7 +933,6 @@ Proof. - constructor; auto. Qed. - (* floating-point division without HELPERS *) Theorem eval_divf_base: forall le a b x y, @@ -947,4 +953,17 @@ Proof. intros; unfold divfs_base. TrivialExists. Qed. + +(** Platform-specific known builtins *) + +Theorem eval_platform_builtin: + forall bf al a vl v le, + platform_builtin bf al = Some a -> + eval_exprlist ge sp e m le al vl -> + platform_builtin_sem bf vl = Some v -> + exists v', eval_expr ge sp e m le a v' /\ Val.lessdef v v'. +Proof. + intros. discriminate. +Qed. + End CMCONSTR. |