Give formal semantics to some built-in functions and run-time functions

This commit adds mechanisms to
- recognize certain built-in and run-time functions by name and signature;
- associate semantics to these functions, as a partial function from
  list of values to values;
- interpret external calls to these functions according to this semantics
  (pure function from values to values, memory unchanged, no observable
  events in the trace);
- external calls to unknown built-in and run-time functions remain
  interpreted as generating observable events and possibly changing
  memory, like before.

The description of the built-ins is split into a target-independent
part (in common/Builtins0.v) and a target-specific part (in
$ARCH/Builtins1.v).

Instruction selection uses the new mechanism in order to
- recognize some built-in functions and turn them into operations
  of the target processor.  Currently, this is done for
  __builtin_sel and __builtin_fabs; more to come.
- remove the axioms about int64 helper functions from the standard
  library.  More precisely, the behavior of these functions is
  still axiomatized, but now it is specified using the more general
  machinery introduced in this commit, rather than ad-hoc axioms
  in backend/SplitLongproof.

The only built-ins currently described are __builtin_fsqrt (for all platforms)
and __builtin_fmin / __builtin_fmax (for x86).  More built-ins will be
added later.

1 files changed, 15 insertions, 10 deletions

diff --git a/arm/SelectOpproof.v b/arm/SelectOpproof.v
index 8b546971..5d54d94f 100644
--- a/arm/SelectOpproof.v
+++ b/arm/SelectOpproof.v
@@ -13,16 +13,9 @@
 (** 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 AST Integers Floats.
+Require Import Values Memory Builtins Globalenvs.
+Require Import Cminor Op CminorSel.
 Require Import SelectOp.
 
 Local Open Scope cminorsel_scope.
@@ -909,4 +902,16 @@ Proof.
 - constructor; auto.
 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.