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-(* *************************************************************)
-(* *)
-(* The Compcert verified compiler *)
-(* *)
-(* Sylvain Boulmé Grenoble-INP, VERIMAG *)
-(* Xavier Leroy INRIA Paris-Rocquencourt *)
-(* David Monniaux CNRS, VERIMAG *)
-(* Cyril Six Kalray *)
-(* *)
-(* Copyright Kalray. Copyright VERIMAG. 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 Decidableplus.
-Require Import AST Machregs 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 RISC-V application binary interface (ABI) in our choice
- of callee- and caller-save registers.
-*)
-
-Definition is_callee_save (r: mreg) : bool :=
- match r with
- (* | R15 | R16 | R17 *) | R18 | R19 | R20 | R21 | R22
- | R23 | R24 | R25 | R26 | R27 | R28 | R29 | R30 | R31 => true
- | _ => false
- end.
-
-Definition int_caller_save_regs :=
- R0 :: R1 :: R2 :: R3 :: R4 :: R5 :: R6 :: R7 :: R8 :: R9
- :: R10 :: R11 :: R15 (* :: R16 *) :: R17
- (* :: R32 *) :: R33 :: R34 :: R35 :: R36 :: R37 :: R38 :: R39 :: R40 :: R41
- :: R42 :: R43 :: R44 :: R45 :: R46 :: R47 :: R48 :: R49 :: R50 :: R51
- :: R52 :: R53 :: R54 :: R55 :: R56 :: R57 :: R58 :: R59 :: R60 :: R61
- :: R62 :: R63 :: nil.
-
-Definition float_caller_save_regs : list mreg := nil.
-
-Definition int_callee_save_regs :=
- (* R15 :: R16 :: R17 :: *)R18 :: R19 :: R20 :: R21 :: R22
- :: R23 :: R24 :: R25 :: R26 :: R27 :: R28 :: R29 :: R30 :: R31 :: 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 := R63. (**r Used in [Coloring]. *)
-Definition dummy_float_reg := R62. (**r Used in [Coloring]. *)
-
-Definition callee_save_type := mreg_type.
-
-Definition is_float_reg (r: mreg) := false.
-
-(** * 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 RISC-V conventions. *)
-
-(** ** Location of function result *)
-
-(** The result value of a function is passed back to the caller in
- registers [R10] or [F10] or [R10,R11], 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
- | Tvoid => One R0
- | Tint8signed => One R0
- | Tint8unsigned => One R0
- | Tint16signed => One R0
- | Tint16unsigned => One R0
- | Tint | Tany32 => One R0
- | Tfloat | Tsingle | Tany64 => One R0
- | Tlong => if Archi.ptr64 then One R0 else One R0
- 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, mreg_type.
- destruct (sig_res sig); try destruct Archi.ptr64; simpl; trivial; destruct t; trivial.
-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, is_callee_save;
- destruct (sig_res s); simpl; auto; try destruct Archi.ptr64; simpl; auto; try destruct t; 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 /\ proj_sig_res sg = Tlong
- /\ subtype Tint (mreg_type r1) = true /\ subtype Tint (mreg_type r2) = true
- /\ Archi.ptr64 = false
- end.
-Proof.
- intros.
- unfold loc_result; destruct (sig_res sg); auto;
- unfold mreg_type; try destruct Archi.ptr64; auto;
- destruct t; auto.
-Qed.
-
-(** The location of the result depends only on the result part of the signature *)
-
-Lemma loc_result_exten:
- forall s1 s2, s1.(sig_res) = s2.(sig_res) -> loc_result s1 = loc_result s2.
-Proof.
- intros. unfold loc_result. rewrite H; auto.
-Qed.
-
-(** ** Location of function arguments *)
-
-(** The RISC-V ABI states the following convention for passing arguments
- to a function:
-
-- Arguments are passed in registers when possible.
-
-- Up to eight integer registers (ai: int_param_regs) and up to eight
- floating-point registers (fai: float_param_regs) are used for this
- purpose.
-
-- If the arguments to a function are conceptualized as fields of a C
- struct, each with pointer alignment, the argument registers are a
- shadow of the first eight pointer-words of that struct. If argument
- i < 8 is a floating-point type, it is passed in floating-point
- register fa_i; otherwise, it is passed in integer register a_i.
-
-- When primitive arguments twice the size of a pointer-word are passed
- on the stack, they are naturally aligned. When they are passed in the
- integer registers, they reside in an aligned even-odd register pair,
- with the even register holding the least-significant bits.
-
-- Floating-point arguments to variadic functions (except those that
- are explicitly named in the parameter list) are passed in integer
- registers.
-
-- The portion of the conceptual struct that is not passed in argument
- registers is passed on the stack. The stack pointer sp points to the
- first argument not passed in a register.
-
-The bit about variadic functions doesn't quite fit CompCert's model.
-We do our best by passing the FP arguments in registers, as usual,
-and reserving the corresponding integer registers, so that fixup
-code can be introduced in the Asmexpand pass.
-*)
-
-Definition param_regs :=
- R0 :: R1 :: R2 :: R3 :: R4 :: R5 :: R6 :: R7 :: R8 :: R9 :: R10 :: R11 :: nil.
-
-Definition one_arg (regs: list mreg) (rn: Z) (ofs: Z) (ty: typ)
- (rec: Z -> Z -> list (rpair loc)) :=
- match list_nth_z regs rn with
- | Some r =>
- One(R r) :: rec (rn + 1) ofs
- | None =>
- let ofs := align ofs (typealign ty) in
- One(S Outgoing ofs ty) :: rec rn (ofs + (if Archi.ptr64 then 2 else typesize ty))
- end.
-
-Definition two_args (regs: list mreg) (rn: Z) (ofs: Z)
- (rec: Z -> Z -> list (rpair loc)) :=
- let rn := align rn 2 in
- match list_nth_z regs rn, list_nth_z regs (rn + 1) with
- | Some r1, Some r2 =>
- Twolong (R r2) (R r1) :: rec (rn + 2) ofs
- | _, _ =>
- let ofs := align ofs 2 in
- Twolong (S Outgoing (ofs + 1) Tint) (S Outgoing ofs Tint) ::
- rec rn (ofs + 2)
- end.
-
-Definition hybrid_arg (regs: list mreg) (rn: Z) (ofs: Z) (ty: typ)
- (rec: Z -> Z -> list (rpair loc)) :=
- let rn := align rn 2 in
- match list_nth_z regs rn with
- | Some r =>
- One (R r) :: rec (rn + 2) ofs
- | None =>
- let ofs := align ofs 2 in
- One (S Outgoing ofs ty) :: rec rn (ofs + 2)
- end.
-
-Fixpoint loc_arguments_rec (va: bool)
- (tyl: list typ) (r ofs: Z) {struct tyl} : list (rpair loc) :=
- match tyl with
- | nil => nil
- | ty :: tys => one_arg param_regs r ofs ty (loc_arguments_rec va tys)
-(*
- | (Tint | Tany32) as ty :: tys =>
- one_arg int_param_regs r ofs ty (loc_arguments_rec va tys)
- | Tsingle as ty :: tys =>
- one_arg float_param_regs r ofs ty (loc_arguments_rec va tys)
- | Tlong as ty :: tys =>
- if Archi.ptr64
- then one_arg int_param_regs r ofs ty (loc_arguments_rec va tys)
- else two_args int_param_regs r ofs (loc_arguments_rec va tys)
- | (Tfloat | Tany64) as ty :: tys =>
- if va && negb Archi.ptr64
- then hybrid_arg float_param_regs r ofs ty (loc_arguments_rec va tys)
- else one_arg float_param_regs r ofs ty (loc_arguments_rec va tys)
-*)
- 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_cc).(cc_vararg) s.(sig_args) 0 0.
-
-(** [size_arguments s] returns the number of [Outgoing] slots used
- to call a function with signature [s]. *)
-
-Definition max_outgoing_1 (accu: Z) (l: loc) : Z :=
- match l with
- | S Outgoing ofs ty => Z.max accu (ofs + typesize ty)
- | _ => accu
- end.
-
-Definition max_outgoing_2 (accu: Z) (rl: rpair loc) : Z :=
- match rl with
- | One l => max_outgoing_1 accu l
- | Twolong l1 l2 => max_outgoing_1 (max_outgoing_1 accu l1) l2
- end.
-
-Definition size_arguments (s: signature) : Z :=
- List.fold_left max_outgoing_2 (loc_arguments s) 0.
-
-(** Argument locations are either non-temporary 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.
-
-Lemma loc_arguments_rec_charact:
- forall va tyl rn ofs p,
- ofs >= 0 ->
- In p (loc_arguments_rec va tyl rn ofs) -> forall_rpair loc_argument_acceptable p.
-Proof.
- set (OK := fun (l: list (rpair loc)) =>
- forall p, In p l -> forall_rpair loc_argument_acceptable p).
- set (OKF := fun (f: Z -> Z -> list (rpair loc)) =>
- forall rn ofs, ofs >= 0 -> OK (f rn ofs)).
- set (OKREGS := fun (l: list mreg) => forall r, In r l -> is_callee_save r = false).
- assert (AL: forall ofs ty, ofs >= 0 -> align ofs (typealign ty) >= 0).
- { intros.
- assert (ofs <= align ofs (typealign ty)) by (apply align_le; apply typealign_pos).
- omega. }
- assert (SK: (if Archi.ptr64 then 2 else 1) > 0).
- { destruct Archi.ptr64; omega. }
- assert (SKK: forall ty, (if Archi.ptr64 then 2 else typesize ty) > 0).
- { intros. destruct Archi.ptr64. omega. apply typesize_pos. }
- assert (A: forall regs rn ofs ty f,
- OKREGS regs -> OKF f -> ofs >= 0 -> OK (one_arg regs rn ofs ty f)).
- { intros until f; intros OR OF OO; red; unfold one_arg; intros.
- destruct (list_nth_z regs rn) as [r|] eqn:NTH; destruct H.
- - subst p; simpl. apply OR. eapply list_nth_z_in; eauto.
- - eapply OF; eauto.
- - subst p; simpl. auto using align_divides, typealign_pos.
- - eapply OF; [idtac|eauto].
- generalize (AL ofs ty OO) (SKK ty); omega.
- }
- assert (B: forall regs rn ofs f,
- OKREGS regs -> OKF f -> ofs >= 0 -> OK (two_args regs rn ofs f)).
- { intros until f; intros OR OF OO; unfold two_args.
- set (rn' := align rn 2).
- set (ofs' := align ofs 2).
- assert (OO': ofs' >= 0) by (apply (AL ofs Tlong); auto).
- assert (DFL: OK (Twolong (S Outgoing (ofs' + 1) Tint) (S Outgoing ofs' Tint)
- :: f rn' (ofs' + 2))).
- { red; simpl; intros. destruct H.
- - subst p; simpl.
- repeat split; auto using Z.divide_1_l. omega.
- - eapply OF; [idtac|eauto]. omega.
- }
- destruct (list_nth_z regs rn') as [r1|] eqn:NTH1;
- destruct (list_nth_z regs (rn' + 1)) as [r2|] eqn:NTH2;
- try apply DFL.
- red; simpl; intros; destruct H.
- - subst p; simpl. split; apply OR; eauto using list_nth_z_in.
- - eapply OF; [idtac|eauto]. auto.
- }
- assert (C: forall regs rn ofs ty f,
- OKREGS regs -> OKF f -> ofs >= 0 -> typealign ty = 1 -> OK (hybrid_arg regs rn ofs ty f)).
- { intros until f; intros OR OF OO OTY; unfold hybrid_arg; red; intros.
- set (rn' := align rn 2) in *.
- destruct (list_nth_z regs rn') as [r|] eqn:NTH; destruct H.
- - subst p; simpl. apply OR. eapply list_nth_z_in; eauto.
- - eapply OF; eauto.
- - subst p; simpl. rewrite OTY. split. apply (AL ofs Tlong OO). apply Z.divide_1_l.
- - eapply OF; [idtac|eauto]. generalize (AL ofs Tlong OO); simpl; omega.
- }
- assert (D: OKREGS param_regs).
- { red. decide_goal. }
- assert (E: OKREGS param_regs).
- { red. decide_goal. }
-
- cut (forall va tyl rn ofs, ofs >= 0 -> OK (loc_arguments_rec va tyl rn ofs)).
- unfold OK. eauto.
- induction tyl as [ | ty1 tyl]; intros until ofs; intros OO; simpl.
- - red; simpl; tauto.
- - destruct ty1.
-+ (* int *) apply A; auto.
-+ (* float *)
- apply A; auto.
-+ (* long *)
- apply A; auto.
-+ (* single *)
- apply A; auto.
-+ (* any32 *)
- apply A; auto.
-+ (* any64 *)
- apply A; auto.
-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. eapply loc_arguments_rec_charact; eauto. omega.
-Qed.
-
-(** The offsets of [Outgoing] arguments are below [size_arguments s]. *)
-
-Remark fold_max_outgoing_above:
- forall l n, fold_left max_outgoing_2 l n >= n.
-Proof.
- assert (A: forall n l, max_outgoing_1 n l >= n).
- { intros; unfold max_outgoing_1. destruct l as [_ | []]; xomega. }
- induction l; simpl; intros.
- - omega.
- - eapply Zge_trans. eauto.
- destruct a; simpl. apply A. eapply Zge_trans; eauto.
-Qed.
-
-Lemma size_arguments_above:
- forall s, size_arguments s >= 0.
-Proof.
- intros. apply fold_max_outgoing_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.
- assert (A: forall n l, n <= max_outgoing_1 n l).
- { intros; unfold max_outgoing_1. destruct l as [_ | []]; xomega. }
- assert (B: forall p n,
- In (S Outgoing ofs ty) (regs_of_rpair p) ->
- ofs + typesize ty <= max_outgoing_2 n p).
- { intros. destruct p; simpl in H; intuition; subst; simpl.
- - xomega.
- - eapply Z.le_trans. 2: apply A. xomega.
- - xomega. }
- assert (C: forall l n,
- In (S Outgoing ofs ty) (regs_of_rpairs l) ->
- ofs + typesize ty <= fold_left max_outgoing_2 l n).
- { induction l; simpl; intros.
- - contradiction.
- - rewrite in_app_iff in H. destruct H.
- + eapply Z.le_trans. eapply B; eauto. apply Z.ge_le. apply fold_max_outgoing_above.
- + apply IHl; auto.
- }
- apply C.
-Qed.
-
-Lemma loc_arguments_main:
- loc_arguments signature_main = nil.
-Proof.
- reflexivity.
-Qed.
-
-
-Definition return_value_needs_normalization (t: rettype) : bool := false.