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-(* *********************************************************************)
-(* *)
-(* The Compcert verified compiler *)
-(* *)
-(* Xavier Leroy, INRIA Paris-Rocquencourt *)
-(* *)
-(* 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. *)
-(* *)
-(* *********************************************************************)
-
-(** Function calling conventions and other conventions regarding the use of
- machine registers and stack slots. *)
-
-Require Import Coqlib.
-Require Import Decidableplus.
-Require Import AST.
-Require Import Events.
-Require Import Locations.
-
-(** * Classification of machine registers *)
-
-(** Machine registers (type [mreg] in module [Locations]) are divided in
- the following groups:
-- Callee-save registers, whose value is preserved across a function call.
-- Caller-save registers that can be modified during a function call.
-
- We follow the x86-32 application binary interface (ABI) in our choice
- of callee- and caller-save registers.
-*)
-
-Definition is_callee_save (r: mreg) : bool :=
- match r with
- | AX | CX | DX => false
- | BX | SI | DI | BP => true
- | X0 | X1 | X2 | X3 | X4 | X5 | X6 | X7 => false
- | FP0 => false
- end.
-
-Definition int_caller_save_regs := AX :: CX :: DX :: nil.
-
-Definition float_caller_save_regs := X0 :: X1 :: X2 :: X3 :: X4 :: X5 :: X6 :: X7 :: nil.
-
-Definition int_callee_save_regs := BX :: SI :: DI :: BP :: nil.
-
-Definition float_callee_save_regs : list mreg := nil.
-
-Definition destroyed_at_call :=
- List.filter (fun r => negb (is_callee_save r)) all_mregs.
-
-Definition dummy_int_reg := AX. (**r Used in [Regalloc]. *)
-Definition dummy_float_reg := X0. (**r Used in [Regalloc]. *)
-
-(** * Function calling conventions *)
-
-(** The functions in this section determine the locations (machine registers
- and stack slots) used to communicate arguments and results between the
- caller and the callee during function calls. These locations are functions
- of the signature of the function and of the call instruction.
- Agreement between the caller and the callee on the locations to use
- is guaranteed by our dynamic semantics for Cminor and RTL, which demand
- that the signature of the call instruction is identical to that of the
- called function.
-
- Calling conventions are largely arbitrary: they must respect the properties
- proved in this section (such as no overlapping between the locations
- of function arguments), but this leaves much liberty in choosing actual
- locations. To ensure binary interoperability of code generated by our
- compiler with libraries compiled by another compiler, we
- implement the standard x86 conventions. *)
-
-(** ** Location of function result *)
-
-(** The result value of a function is passed back to the caller in
- registers [AX] or [DX:AX] or [FP0], depending on the type of the returned value.
- We treat a function without result as a function with one integer result. *)
-
-Definition loc_result (s: signature) : rpair mreg :=
- match s.(sig_res) with
- | None => One AX
- | Some (Tint | Tany32) => One AX
- | Some (Tfloat | Tsingle) => One FP0
- | Some Tany64 => One X0
- | Some Tlong => Twolong DX AX
- end.
-
-(** The result registers have types compatible with that given in the signature. *)
-
-Lemma loc_result_type:
- forall sig,
- subtype (proj_sig_res sig) (typ_rpair mreg_type (loc_result sig)) = true.
-Proof.
- intros. unfold proj_sig_res, loc_result. destruct (sig_res sig) as [[]|]; auto.
-Qed.
-
-(** The result locations are caller-save registers *)
-
-Lemma loc_result_caller_save:
- forall (s: signature),
- forall_rpair (fun r => is_callee_save r = false) (loc_result s).
-Proof.
- intros.
- unfold loc_result. destruct (sig_res s) as [[]|]; simpl; auto.
-Qed.
-
-(** If the result is in a pair of registers, those registers are distinct and have type [Tint] at least. *)
-
-Lemma loc_result_pair:
- forall sg,
- match loc_result sg with
- | One _ => True
- | Twolong r1 r2 => r1 <> r2 /\ sg.(sig_res) = Some Tlong /\ subtype Tint (mreg_type r1) = true /\ subtype Tint (mreg_type r2) = true
- end.
-Proof.
- intros; unfold loc_result; destruct (sig_res sg) as [[]|]; auto. intuition congruence.
-Qed.
-
-(** ** Location of function arguments *)
-
-(** All arguments are passed on stack. (Snif.) *)
-
-Fixpoint loc_arguments_rec
- (tyl: list typ) (ofs: Z) {struct tyl} : list (rpair loc) :=
- match tyl with
- | nil => nil
- | ty :: tys =>
- match ty with
- | Tlong => Twolong (S Outgoing (ofs + 1) Tint) (S Outgoing ofs Tint)
- | _ => One (S Outgoing ofs ty)
- end
- :: loc_arguments_rec tys (ofs + typesize ty)
- end.
-
-(** [loc_arguments s] returns the list of locations where to store arguments
- when calling a function with signature [s]. *)
-
-Definition loc_arguments (s: signature) : list (rpair loc) :=
- loc_arguments_rec s.(sig_args) 0.
-
-(** [size_arguments s] returns the number of [Outgoing] slots used
- to call a function with signature [s]. *)
-
-Fixpoint size_arguments_rec
- (tyl: list typ) (ofs: Z) {struct tyl} : Z :=
- match tyl with
- | nil => ofs
- | ty :: tys => size_arguments_rec tys (ofs + typesize ty)
- end.
-
-Definition size_arguments (s: signature) : Z :=
- size_arguments_rec s.(sig_args) 0.
-
-(** Argument locations are either caller-save registers or [Outgoing]
- stack slots at nonnegative offsets. *)
-
-Definition loc_argument_acceptable (l: loc) : Prop :=
- match l with
- | R r => is_callee_save r = false
- | S Outgoing ofs ty => ofs >= 0 /\ (typealign ty | ofs)
- | _ => False
- end.
-
-Definition loc_argument_charact (ofs: Z) (l: loc) : Prop :=
- match l with
- | S Outgoing ofs' ty => ofs' >= ofs /\ typealign ty = 1
- | _ => False
- end.
-
-Remark loc_arguments_rec_charact:
- forall tyl ofs p,
- In p (loc_arguments_rec tyl ofs) -> forall_rpair (loc_argument_charact ofs) p.
-Proof.
- assert (X: forall ofs1 ofs2 l, loc_argument_charact ofs2 l -> ofs1 <= ofs2 -> loc_argument_charact ofs1 l).
- { destruct l; simpl; intros; auto. destruct sl; auto. intuition omega. }
- induction tyl as [ | ty tyl]; simpl loc_arguments_rec; intros.
-- contradiction.
-- destruct H.
-+ destruct ty; subst p; simpl; omega.
-+ apply IHtyl in H. generalize (typesize_pos ty); intros. destruct p; simpl in *.
-* eapply X; eauto; omega.
-* destruct H; split; eapply X; eauto; omega.
-Qed.
-
-Lemma loc_arguments_acceptable:
- forall (s: signature) (p: rpair loc),
- In p (loc_arguments s) -> forall_rpair loc_argument_acceptable p.
-Proof.
- unfold loc_arguments; intros.
- exploit loc_arguments_rec_charact; eauto.
- assert (X: forall l, loc_argument_charact 0 l -> loc_argument_acceptable l).
- { destruct l as [r | [] ofs ty]; simpl; intuition auto. rewrite H2; apply Z.divide_1_l. }
- destruct p; simpl; intuition auto.
-Qed.
-
-Hint Resolve loc_arguments_acceptable: locs.
-
-(** The offsets of [Outgoing] arguments are below [size_arguments s]. *)
-
-Remark size_arguments_rec_above:
- forall tyl ofs0, ofs0 <= size_arguments_rec tyl ofs0.
-Proof.
- induction tyl; simpl; intros.
- omega.
- apply Zle_trans with (ofs0 + typesize a); auto.
- generalize (typesize_pos a); omega.
-Qed.
-
-Lemma size_arguments_above:
- forall s, size_arguments s >= 0.
-Proof.
- intros; unfold size_arguments. apply Zle_ge.
- apply size_arguments_rec_above.
-Qed.
-
-Lemma loc_arguments_bounded:
- forall (s: signature) (ofs: Z) (ty: typ),
- In (S Outgoing ofs ty) (regs_of_rpairs (loc_arguments s)) ->
- ofs + typesize ty <= size_arguments s.
-Proof.
- intros until ty. unfold loc_arguments, size_arguments. generalize (sig_args s) 0.
- induction l as [ | t l]; simpl; intros x IN.
-- contradiction.
-- rewrite in_app_iff in IN; destruct IN as [IN|IN].
-+ apply Zle_trans with (x + typesize t); [|apply size_arguments_rec_above].
- Ltac decomp :=
- match goal with
- | [ H: _ \/ _ |- _ ] => destruct H; decomp
- | [ H: S _ _ _ = S _ _ _ |- _ ] => inv H
- | [ H: False |- _ ] => contradiction
- end.
- destruct t; simpl in IN; decomp; simpl; omega.
-+ apply IHl; auto.
-Qed.
-
-Lemma loc_arguments_main:
- loc_arguments signature_main = nil.
-Proof.
- reflexivity.
-Qed.