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authorGravatar xleroy <xleroy@fca1b0fc-160b-0410-b1d3-a4f43f01ea2e>2014-05-02 14:03:20 +0000
committerGravatar xleroy <xleroy@fca1b0fc-160b-0410-b1d3-a4f43f01ea2e>2014-05-02 14:03:20 +0000
commit2517b7385825981d19e3b9cb2dce0fc22578dcb0 (patch)
treef4c39eef0a7ce0f3dfff3c7d816740004591e9ee /arm
parent16622052a7438287a09e15ef38e366a4999c0775 (diff)
Preliminary support for EABI-hardfloat calling conventions
git-svn-id: https://yquem.inria.fr/compcert/svn/compcert/trunk@2473 fca1b0fc-160b-0410-b1d3-a4f43f01ea2e
Diffstat (limited to 'arm')
-rw-r--r--arm/PrintAsm.ml184
-rw-r--r--arm/hardfloat/Conventions1.v670
-rw-r--r--arm/hardfloat/Stacklayout.v132
3 files changed, 938 insertions, 48 deletions
diff --git a/arm/PrintAsm.ml b/arm/PrintAsm.ml
index 66aa908..e1d5eaa 100644
--- a/arm/PrintAsm.ml
+++ b/arm/PrintAsm.ml
@@ -272,7 +272,7 @@ let print_annot_val oc txt args res =
| [IR src], [IR dst] ->
if dst = src then 0 else (fprintf oc " mov %a, %a\n" ireg dst ireg src; 1)
| [FR src], [FR dst] ->
- if dst = src then 0 else (fprintf oc " fcpy %a, %a\n" freg dst freg src; 1)
+ if dst = src then 0 else (fprintf oc " fcpyd %a, %a\n" freg dst freg src; 1)
| _, _ -> assert false
(* Handling of memcpy *)
@@ -508,53 +508,141 @@ let print_builtin_inline oc name args res =
type direction = Incoming | Outgoing
-let ireg_param = function
- | 0 -> IR0 | 1 -> IR1 | 2 -> IR2 | 3 -> IR3 | _ -> assert false
-
-let freg_param = function
- | 0 -> FR0 | 1 -> FR1 | 2 -> FR2 | 3 -> FR3 | _ -> assert false
-
-let fixup_double oc dir f i1 i2 =
- match dir with
- | Incoming -> (* f <- (i1, i2) *)
- fprintf oc " fmdrr %a, %a, %a\n" freg f ireg i1 ireg i2
- | Outgoing -> (* (i1, i2) <- f *)
- fprintf oc " fmrrd %a, %a, %a\n" ireg i1 ireg i2 freg f
-
-let fixup_single oc dir f i =
- match dir with
- | Incoming -> (* f <- i; f <- double_of_single f *)
- fprintf oc " fmsr %a, %a\n" freg_single f ireg i;
- fprintf oc " fcvtds %a, %a\n" freg f freg_single f
- | Outgoing -> (* f <- single_of_double f; i <- f *)
- fprintf oc " fcvtsd %a, %a\n" freg_single f freg f;
- fprintf oc " fmrs %a, %a\n" ireg i freg_single f
-
-let fixup_conventions oc dir tyl =
- let rec fixup i tyl =
- if i >= 4 then 0 else
- match tyl with
- | [] -> 0
- | Tint :: tyl' ->
- fixup (i+1) tyl'
- | Tlong :: tyl' ->
- fixup (((i + 1) land (-2)) + 2) tyl'
- | Tfloat :: tyl' ->
- let i = (i + 1) land (-2) in
- if i >= 4 then 0 else begin
- fixup_double oc dir (freg_param i) (ireg_param i) (ireg_param (i+1));
- 1 + fixup (i+2) tyl'
- end
- | Tsingle :: tyl' ->
- fixup_single oc dir (freg_param i) (ireg_param i);
- 2 + fixup (i+1) tyl'
- in fixup 0 tyl
-
-let fixup_arguments oc dir sg =
- fixup_conventions oc dir sg.sig_args
-
-let fixup_result oc dir sg =
- fixup_conventions oc dir (proj_sig_res sg :: [])
+module FixupEABI = struct
+
+ let ireg_param = function
+ | 0 -> IR0 | 1 -> IR1 | 2 -> IR2 | 3 -> IR3 | _ -> assert false
+
+ let freg_param = function
+ | 0 -> FR0 | 1 -> FR1 | 2 -> FR2 | 3 -> FR3 | _ -> assert false
+
+ let fixup_double oc dir f i1 i2 =
+ match dir with
+ | Incoming -> (* f <- (i1, i2) *)
+ fprintf oc " fmdrr %a, %a, %a\n" freg f ireg i1 ireg i2
+ | Outgoing -> (* (i1, i2) <- f *)
+ fprintf oc " fmrrd %a, %a, %a\n" ireg i1 ireg i2 freg f
+
+ let fixup_single oc dir f i =
+ match dir with
+ | Incoming -> (* f <- i; f <- double_of_single f *)
+ fprintf oc " fmsr %a, %a\n" freg_single f ireg i;
+ fprintf oc " fcvtds %a, %a\n" freg f freg_single f
+ | Outgoing -> (* f <- single_of_double f; i <- f *)
+ fprintf oc " fcvtsd %a, %a\n" freg_single f freg f;
+ fprintf oc " fmrs %a, %a\n" ireg i freg_single f
+
+ let fixup_conventions oc dir tyl =
+ let rec fixup i tyl =
+ if i >= 4 then 0 else
+ match tyl with
+ | [] -> 0
+ | Tint :: tyl' ->
+ fixup (i+1) tyl'
+ | Tlong :: tyl' ->
+ fixup (((i + 1) land (-2)) + 2) tyl'
+ | Tfloat :: tyl' ->
+ let i = (i + 1) land (-2) in
+ if i >= 4 then 0 else begin
+ fixup_double oc dir (freg_param i) (ireg_param i) (ireg_param (i+1));
+ 1 + fixup (i+2) tyl'
+ end
+ | Tsingle :: tyl' ->
+ fixup_single oc dir (freg_param i) (ireg_param i);
+ 2 + fixup (i+1) tyl'
+ in fixup 0 tyl
+
+ let fixup_arguments oc dir sg =
+ fixup_conventions oc dir sg.sig_args
+
+ let fixup_result oc dir sg =
+ fixup_conventions oc dir (proj_sig_res sg :: [])
+
+end
+
+module FixupHF = struct
+
+ type fsize = Single | Double
+
+ let rec find_single used pos =
+ if pos >= Array.length used then pos
+ else if used.(pos) then find_single used (pos + 1)
+ else begin used.(pos) <- true; pos end
+
+ let rec find_double used pos =
+ if pos + 1 >= Array.length used then pos
+ else if used.(pos) || used.(pos + 1) then find_double used (pos + 2)
+ else begin used.(pos) <- true; used.(pos + 1) <- true; pos / 2 end
+
+ let rec fixup_actions used fr tyl =
+ match tyl with
+ | [] -> []
+ | (Tint | Tlong) :: tyl' -> fixup_actions used fr tyl'
+ | Tfloat :: tyl' ->
+ if fr >= 8 then [] else begin
+ let dr = find_double used 0 in
+ assert (dr < 8);
+ (fr, Double, dr) :: fixup_actions used (fr + 1) tyl'
+ end
+ | Tsingle :: tyl' ->
+ if fr >= 8 then [] else begin
+ let sr = find_single used 0 in
+ assert (sr < 16);
+ (fr, Single, sr) :: fixup_actions used (fr + 1) tyl'
+ end
+
+ let rec fixup_outgoing oc = function
+ | [] -> 0
+ | (fr, Double, dr) :: act ->
+ if fr = dr then fixup_outgoing oc act else begin
+ fprintf oc " fcpyd d%d, d%d\n" dr fr;
+ 1 + fixup_outgoing oc act
+ end
+ | (fr, Single, sr) :: act ->
+ fprintf oc " fcvtsd s%d, d%d\n" sr fr;
+ 1 + fixup_outgoing oc act
+
+ let rec fixup_incoming oc = function
+ | [] -> 0
+ | (fr, Double, dr) :: act ->
+ let n = fixup_incoming oc act in
+ if fr = dr then n else begin
+ fprintf oc " fcpyd d%d, d%d\n" fr dr;
+ 1 + n
+ end
+ | (fr, Single, sr) :: act ->
+ let n = fixup_incoming oc act in
+ fprintf oc " fcvtds d%d, s%d\n" fr sr;
+ 1 + n
+
+ let fixup_arguments oc dir sg =
+ if sg.sig_cc.cc_vararg then
+ FixupEABI.fixup_arguments oc dir sg
+ else begin
+ let act = fixup_actions (Array.make 16 false) 0 sg.sig_args in
+ match dir with
+ | Outgoing -> fixup_outgoing oc act
+ | Incoming -> fixup_incoming oc act
+ end
+
+ let fixup_result oc dir sg =
+ if sg.sig_cc.cc_vararg then
+ FixupEABI.fixup_result oc dir sg
+ else begin
+ match proj_sig_res sg, dir with
+ | Tsingle, Outgoing ->
+ fprintf oc " fcvtsd s0, d0\n"; 1
+ | Tsingle, Incoming ->
+ fprintf oc " fcvtds d0, s0\n"; 1
+ | _ -> 0
+ end
+end
+
+let (fixup_arguments, fixup_result) =
+ match Configuration.variant with
+ | "eabi" -> (FixupEABI.fixup_arguments, FixupEABI.fixup_result)
+ | "hardfloat" -> (FixupHF.fixup_arguments, FixupHF.fixup_result)
+ | _ -> assert false
(* Printing of instructions *)
diff --git a/arm/hardfloat/Conventions1.v b/arm/hardfloat/Conventions1.v
new file mode 100644
index 0000000..e3875e7
--- /dev/null
+++ b/arm/hardfloat/Conventions1.v
@@ -0,0 +1,670 @@
+(* *********************************************************************)
+(* *)
+(* 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 AST.
+Require Import Locations.
+
+(** * Classification of machine registers *)
+
+(** Machine registers (type [mreg] in module [Locations]) are divided in
+ the following groups:
+- Temporaries used for spilling, reloading, and parallel move operations.
+- Allocatable registers, that can be assigned to RTL pseudo-registers.
+ These are further divided into:
+-- 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 PowerPC application binary interface (ABI) in our choice
+ of callee- and caller-save registers.
+*)
+
+Definition int_caller_save_regs :=
+ R0 :: R1 :: R2 :: R3 :: R12 :: nil.
+
+Definition float_caller_save_regs :=
+ F0 :: F1 :: F2 :: F3 :: F4 :: F5 :: F6 :: F7 :: nil.
+
+Definition int_callee_save_regs :=
+ R4 :: R5 :: R6 :: R7 :: R8 :: R9 :: R10 :: R11 :: nil.
+
+Definition float_callee_save_regs :=
+ F8 :: F9 :: F10 :: F11 :: F12 :: F13 :: F14 :: F15 :: nil.
+
+Definition destroyed_at_call :=
+ int_caller_save_regs ++ float_caller_save_regs.
+
+Definition dummy_int_reg := R0. (**r Used in [Coloring]. *)
+Definition dummy_float_reg := F0. (**r Used in [Coloring]. *)
+
+(** The [index_int_callee_save] and [index_float_callee_save] associate
+ a unique positive integer to callee-save registers. This integer is
+ used in [Stacking] to determine where to save these registers in
+ the activation record if they are used by the current function. *)
+
+Definition index_int_callee_save (r: mreg) :=
+ match r with
+ | R4 => 0 | R5 => 1 | R6 => 2 | R7 => 3
+ | R8 => 4 | R9 => 5 | R10 => 6 | R11 => 7
+ | _ => -1
+ end.
+
+Definition index_float_callee_save (r: mreg) :=
+ match r with
+ | F8 => 0 | F9 => 1 | F10 => 2 | F11 => 3
+ | F12 => 4 | F13 => 5 | F14 => 6 | F15 => 7
+ | _ => -1
+ end.
+
+Ltac ElimOrEq :=
+ match goal with
+ | |- (?x = ?y) \/ _ -> _ =>
+ let H := fresh in
+ (intro H; elim H; clear H;
+ [intro H; rewrite <- H; clear H | ElimOrEq])
+ | |- False -> _ =>
+ let H := fresh in (intro H; contradiction)
+ end.
+
+Ltac OrEq :=
+ match goal with
+ | |- (?x = ?x) \/ _ => left; reflexivity
+ | |- (?x = ?y) \/ _ => right; OrEq
+ | |- False => fail
+ end.
+
+Ltac NotOrEq :=
+ match goal with
+ | |- (?x = ?y) \/ _ -> False =>
+ let H := fresh in (
+ intro H; elim H; clear H; [intro; discriminate | NotOrEq])
+ | |- False -> False =>
+ contradiction
+ end.
+
+Lemma index_int_callee_save_pos:
+ forall r, In r int_callee_save_regs -> index_int_callee_save r >= 0.
+Proof.
+ intro r. simpl; ElimOrEq; unfold index_int_callee_save; omega.
+Qed.
+
+Lemma index_float_callee_save_pos:
+ forall r, In r float_callee_save_regs -> index_float_callee_save r >= 0.
+Proof.
+ intro r. simpl; ElimOrEq; unfold index_float_callee_save; omega.
+Qed.
+
+Lemma index_int_callee_save_pos2:
+ forall r, index_int_callee_save r >= 0 -> In r int_callee_save_regs.
+Proof.
+ destruct r; simpl; intro; omegaContradiction || OrEq.
+Qed.
+
+Lemma index_float_callee_save_pos2:
+ forall r, index_float_callee_save r >= 0 -> In r float_callee_save_regs.
+Proof.
+ destruct r; simpl; intro; omegaContradiction || OrEq.
+Qed.
+
+Lemma index_int_callee_save_inj:
+ forall r1 r2,
+ In r1 int_callee_save_regs ->
+ In r2 int_callee_save_regs ->
+ r1 <> r2 ->
+ index_int_callee_save r1 <> index_int_callee_save r2.
+Proof.
+ intros r1 r2.
+ simpl; ElimOrEq; ElimOrEq; unfold index_int_callee_save;
+ intros; congruence.
+Qed.
+
+Lemma index_float_callee_save_inj:
+ forall r1 r2,
+ In r1 float_callee_save_regs ->
+ In r2 float_callee_save_regs ->
+ r1 <> r2 ->
+ index_float_callee_save r1 <> index_float_callee_save r2.
+Proof.
+ intros r1 r2.
+ simpl; ElimOrEq; ElimOrEq; unfold index_float_callee_save;
+ intros; congruence.
+Qed.
+
+(** The following lemmas show that
+ (temporaries, destroyed at call, integer callee-save, float callee-save)
+ is a partition of the set of machine registers. *)
+
+Lemma int_float_callee_save_disjoint:
+ list_disjoint int_callee_save_regs float_callee_save_regs.
+Proof.
+ red; intros r1 r2. simpl; ElimOrEq; ElimOrEq; discriminate.
+Qed.
+
+Lemma register_classification:
+ forall r,
+ In r destroyed_at_call \/ In r int_callee_save_regs \/ In r float_callee_save_regs.
+Proof.
+ destruct r;
+ try (left; simpl; OrEq);
+ try (right; left; simpl; OrEq);
+ try (right; right; simpl; OrEq).
+Qed.
+
+
+Lemma int_callee_save_not_destroyed:
+ forall r,
+ In r destroyed_at_call -> In r int_callee_save_regs -> False.
+Proof.
+ intros. revert H0 H. simpl. ElimOrEq; NotOrEq.
+Qed.
+
+Lemma float_callee_save_not_destroyed:
+ forall r,
+ In r destroyed_at_call -> In r float_callee_save_regs -> False.
+Proof.
+ intros. revert H0 H. simpl. ElimOrEq; NotOrEq.
+Qed.
+
+Lemma int_callee_save_type:
+ forall r, In r int_callee_save_regs -> mreg_type r = Tint.
+Proof.
+ intro. simpl; ElimOrEq; reflexivity.
+Qed.
+
+Lemma float_callee_save_type:
+ forall r, In r float_callee_save_regs -> mreg_type r = Tfloat.
+Proof.
+ intro. simpl; ElimOrEq; reflexivity.
+Qed.
+
+Ltac NoRepet :=
+ match goal with
+ | |- list_norepet nil =>
+ apply list_norepet_nil
+ | |- list_norepet (?a :: ?b) =>
+ apply list_norepet_cons; [simpl; intuition discriminate | NoRepet]
+ end.
+
+Lemma int_callee_save_norepet:
+ list_norepet int_callee_save_regs.
+Proof.
+ unfold int_callee_save_regs; NoRepet.
+Qed.
+
+Lemma float_callee_save_norepet:
+ list_norepet float_callee_save_regs.
+Proof.
+ unfold float_callee_save_regs; NoRepet.
+Qed.
+
+(** * 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. *)
+
+(** ** Location of function result *)
+
+(** The result value of a function is passed back to the caller in
+ registers [R0] or [F0] or [R0,R1], 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) : list mreg :=
+ match s.(sig_res) with
+ | None => R0 :: nil
+ | Some Tint => R0 :: nil
+ | Some (Tfloat | Tsingle) => F0 :: nil
+ | Some Tlong => R1 :: R0 :: nil
+ end.
+
+(** The result location is a caller-save register or a temporary *)
+
+Lemma loc_result_caller_save:
+ forall (s: signature) (r: mreg),
+ In r (loc_result s) -> In r destroyed_at_call.
+Proof.
+ intros.
+ assert (r = R0 \/ r = R1 \/ r = F0).
+ unfold loc_result in H. destruct (sig_res s); [destruct t|idtac]; simpl in H; intuition.
+ destruct H0 as [A | [A | A]]; subst r; simpl; OrEq.
+Qed.
+
+(** ** Location of function arguments *)
+
+(** We use the following calling conventions, adapted from the ARM EABI-HF:
+- The first 4 integer arguments are passed in registers [R0] to [R3].
+- The first 2 long integer arguments are passed in an aligned pair of
+ two integer registers.
+- The first 8 single- and double-precision float arguments are passed
+ in registers [F0...F7]
+- Extra arguments are passed on the stack, in [Outgoing] slots, consecutively
+ assigned (1 word for an integer or single argument, 2 words for a float
+ or a long), starting at word offset 0.
+
+This convention is not quite that of the ARM EABI-HF, whereas single float
+arguments are passed in 32-bit float registers. Unfortunately,
+this does not fit the data model of CompCert. In [PrintAsm.ml]
+we insert additional code around function calls that moves
+data appropriately. *)
+
+Definition int_param_regs :=
+ R0 :: R1 :: R2 :: R3 :: nil.
+
+Definition float_param_regs :=
+ F0 :: F1 :: F2 :: F3 :: F4 :: F5 :: F6 :: F7 :: nil.
+
+Definition ireg_param (n: Z) : mreg :=
+ match list_nth_z int_param_regs n with Some r => r | None => R0 end.
+
+Definition freg_param (n: Z) : mreg :=
+ match list_nth_z float_param_regs n with Some r => r | None => F0 end.
+
+Fixpoint loc_arguments_rec
+ (tyl: list typ) (ir fr ofs: Z) {struct tyl} : list loc :=
+ match tyl with
+ | nil => nil
+ | Tint :: tys =>
+ if zlt ir 4
+ then R (ireg_param ir) :: loc_arguments_rec tys (ir + 1) fr ofs
+ else S Outgoing ofs Tint :: loc_arguments_rec tys ir fr (ofs + 1)
+ | Tfloat :: tys =>
+ if zlt fr 8
+ then R (freg_param fr) :: loc_arguments_rec tys ir (fr + 1) ofs
+ else let ofs := align ofs 2 in
+ S Outgoing ofs Tfloat :: loc_arguments_rec tys ir fr (ofs + 2)
+ | Tsingle :: tys =>
+ if zlt fr 8
+ then R (freg_param fr) :: loc_arguments_rec tys ir (fr + 1) ofs
+ else S Outgoing ofs Tsingle :: loc_arguments_rec tys ir fr (ofs + 1)
+ | Tlong :: tys =>
+ let ir := align ir 2 in
+ if zlt ir 4
+ then R (ireg_param (ir + 1)) :: R (ireg_param ir) :: loc_arguments_rec tys (ir + 2) fr ofs
+ else let ofs := align ofs 2 in
+ S Outgoing (ofs + 1) Tint :: S Outgoing ofs Tint :: loc_arguments_rec tys ir fr (ofs + 2)
+ end.
+
+(** For variable-argument functions, we use the default ARM EABI (not HF)
+ calling conventions:
+- The first 4 integer arguments are passed in registers [R0] to [R3].
+- The first 2 long integer arguments are passed in an aligned pair of
+ two integer registers.
+- The first 2 double-precision float arguments are passed in [F0] or [F2]
+- The first 4 single-precision float arguments are passed in [F0...F3]
+- Integer arguments and float arguments are kept in sync so that
+ they can all be mapped back to [R0...R3] in [PrintAsm.ml].
+- Extra arguments are passed on the stack, in [Outgoing] slots, consecutively
+ assigned (1 word for an integer or single argument, 2 words for a float
+ or a long), starting at word offset 0.
+*)
+
+Fixpoint loc_arguments_vararg
+ (tyl: list typ) (ofs: Z) {struct tyl} : list loc :=
+ match tyl with
+ | nil => nil
+ | Tint :: tys =>
+ (if zlt ofs 0 then R (ireg_param (ofs + 4)) else S Outgoing ofs Tint)
+ :: loc_arguments_vararg tys (ofs + 1)
+ | Tfloat :: tys =>
+ let ofs := align ofs 2 in
+ (if zlt ofs 0 then R (freg_param (ofs + 4)) else S Outgoing ofs Tfloat)
+ :: loc_arguments_vararg tys (ofs + 2)
+ | Tsingle :: tys =>
+ (if zlt ofs 0 then R (freg_param (ofs + 4)) else S Outgoing ofs Tsingle)
+ :: loc_arguments_vararg tys (ofs + 1)
+ | Tlong :: tys =>
+ let ofs := align ofs 2 in
+ (if zlt ofs 0 then R (ireg_param (ofs+1+4)) else S Outgoing (ofs+1) Tint)
+ :: (if zlt ofs 0 then R (ireg_param (ofs+4)) else S Outgoing ofs Tint)
+ :: loc_arguments_vararg tys (ofs + 2)
+ 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 loc :=
+ if s.(sig_cc).(cc_vararg)
+ then loc_arguments_vararg s.(sig_args) (-4)
+ else loc_arguments_rec s.(sig_args) 0 0 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) (ir fr ofs: Z) {struct tyl} : Z :=
+ match tyl with
+ | nil => ofs
+ | Tint :: tys =>
+ if zlt ir 4
+ then size_arguments_rec tys (ir + 1) fr ofs
+ else size_arguments_rec tys ir fr (ofs + 1)
+ | Tfloat :: tys =>
+ if zlt fr 8
+ then size_arguments_rec tys ir (fr + 1) ofs
+ else size_arguments_rec tys ir fr (align ofs 2 + 2)
+ | Tsingle :: tys =>
+ if zlt fr 8
+ then size_arguments_rec tys ir (fr + 1) ofs
+ else size_arguments_rec tys ir fr (ofs + 1)
+ | Tlong :: tys =>
+ let ir := align ir 2 in
+ if zlt ir 4
+ then size_arguments_rec tys (ir + 2) fr ofs
+ else size_arguments_rec tys ir fr (align ofs 2 + 2)
+ end.
+
+Fixpoint size_arguments_vararg (tyl: list typ) (ofs: Z) {struct tyl} : Z :=
+ match tyl with
+ | nil => Zmax 0 ofs
+ | (Tint | Tsingle) :: tys => size_arguments_vararg tys (ofs + 1)
+ | (Tfloat | Tlong) :: tys => size_arguments_vararg tys (align ofs 2 + 2)
+ end.
+
+Definition size_arguments (s: signature) : Z :=
+ if s.(sig_cc).(cc_vararg)
+ then size_arguments_vararg s.(sig_args) (-4)
+ else size_arguments_rec s.(sig_args) 0 0 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 => In r destroyed_at_call
+ | S Outgoing ofs ty => ofs >= 0 /\ ty <> Tlong
+ | _ => False
+ end.
+
+Remark ireg_param_in_params: forall n, In (ireg_param n) int_param_regs.
+Proof.
+ unfold ireg_param; intros.
+ destruct (list_nth_z int_param_regs n) as [r|] eqn:NTH.
+ eapply list_nth_z_in; eauto.
+ simpl; auto.
+Qed.
+
+Remark freg_param_in_params: forall n, In (freg_param n) float_param_regs.
+Proof.
+ unfold freg_param; intros.
+ destruct (list_nth_z float_param_regs n) as [r|] eqn:NTH.
+ eapply list_nth_z_in; eauto.
+ simpl; auto.
+Qed.
+
+Remark loc_arguments_rec_charact:
+ forall tyl ir fr ofs l,
+ In l (loc_arguments_rec tyl ir fr ofs) ->
+ match l with
+ | R r => In r int_param_regs \/ In r float_param_regs
+ | S Outgoing ofs' ty => ofs' >= ofs /\ ty <> Tlong
+ | S _ _ _ => False
+ end.
+Proof.
+ assert (INCR: forall l ofs1 ofs2,
+ match l with
+ | R r => In r int_param_regs \/ In r float_param_regs
+ | S Outgoing ofs' ty => ofs' >= ofs2 /\ ty <> Tlong
+ | S _ _ _ => False
+ end ->
+ ofs1 <= ofs2 ->
+ match l with
+ | R r => In r int_param_regs \/ In r float_param_regs
+ | S Outgoing ofs' ty => ofs' >= ofs1 /\ ty <> Tlong
+ | S _ _ _ => False
+ end).
+ {
+ intros. destruct l; auto. destruct sl; auto. intuition omega.
+ }
+ induction tyl; simpl loc_arguments_rec; intros.
+ elim H.
+ destruct a.
+- (* int *)
+ destruct (zlt ir 4); destruct H.
+ subst. left; apply ireg_param_in_params.
+ eapply IHtyl; eauto.
+ subst. split; [omega | congruence].
+ eapply INCR. eapply IHtyl; eauto. omega.
+- (* float *)
+ destruct (zlt fr 8); destruct H.
+ subst. right; apply freg_param_in_params.
+ eapply IHtyl; eauto.
+ subst. split. apply Zle_ge. apply align_le. omega. congruence.
+ eapply INCR. eapply IHtyl; eauto.
+ apply Zle_trans with (align ofs 2). apply align_le; omega. omega.
+- (* long *)
+ set (ir' := align ir 2) in *.
+ assert (ofs <= align ofs 2) by (apply align_le; omega).
+ destruct (zlt ir' 4).
+ destruct H. subst l; left; apply ireg_param_in_params.
+ destruct H. subst l; left; apply ireg_param_in_params.
+ eapply IHtyl; eauto.
+ destruct H. subst l; split; [ omega | congruence ].
+ destruct H. subst l; split; [ omega | congruence ].
+ eapply INCR. eapply IHtyl; eauto. omega.
+- (* single *)
+ destruct (zlt fr 8); destruct H.
+ subst. right; apply freg_param_in_params.
+ eapply IHtyl; eauto.
+ subst. split; [omega | congruence].
+ eapply INCR. eapply IHtyl; eauto. omega.
+Qed.
+
+Remark loc_arguments_vararg_charact:
+ forall tyl ofs l,
+ In l (loc_arguments_vararg tyl ofs) ->
+ match l with
+ | R r => In r int_param_regs \/ In r float_param_regs
+ | S Outgoing ofs' ty => ofs' >= Zmax 0 ofs /\ ty <> Tlong
+ | S _ _ _ => False
+ end.
+Proof.
+ assert (INCR: forall l ofs1 ofs2,
+ match l with
+ | R r => In r int_param_regs \/ In r float_param_regs
+ | S Outgoing ofs' ty => ofs' >= Zmax 0 ofs2 /\ ty <> Tlong
+ | S _ _ _ => False
+ end ->
+ ofs1 <= ofs2 ->
+ match l with
+ | R r => In r int_param_regs \/ In r float_param_regs
+ | S Outgoing ofs' ty => ofs' >= Zmax 0 ofs1 /\ ty <> Tlong
+ | S _ _ _ => False
+ end).
+ {
+ intros. destruct l; auto. destruct sl; auto. intuition xomega.
+ }
+ induction tyl; simpl loc_arguments_vararg; intros.
+ elim H.
+ destruct a.
+- (* int *)
+ destruct H.
+ destruct (zlt ofs 0); subst l.
+ left; apply ireg_param_in_params.
+ split. xomega. congruence.
+ eapply INCR. eapply IHtyl; eauto. omega.
+- (* float *)
+ set (ofs' := align ofs 2) in *.
+ assert (ofs <= ofs') by (apply align_le; omega).
+ destruct H.
+ destruct (zlt ofs' 0); subst l.
+ right; apply freg_param_in_params.
+ split. xomega. congruence.
+ eapply INCR. eapply IHtyl; eauto. omega.
+- (* long *)
+ set (ofs' := align ofs 2) in *.
+ assert (ofs <= ofs') by (apply align_le; omega).
+ destruct H.
+ destruct (zlt ofs' 0); subst l.
+ left; apply ireg_param_in_params.
+ split. xomega. congruence.
+ destruct H.
+ destruct (zlt ofs' 0); subst l.
+ left; apply ireg_param_in_params.
+ split. xomega. congruence.
+ eapply INCR. eapply IHtyl; eauto. omega.
+- (* single *)
+ destruct H.
+ destruct (zlt ofs 0); subst l.
+ right; apply freg_param_in_params.
+ split. xomega. congruence.
+ eapply INCR. eapply IHtyl; eauto. omega.
+Qed.
+
+Lemma loc_arguments_acceptable:
+ forall (s: signature) (l: loc),
+ In l (loc_arguments s) -> loc_argument_acceptable l.
+Proof.
+ unfold loc_arguments; intros.
+ assert (forall r, In r int_param_regs \/ In r float_param_regs -> In r destroyed_at_call).
+ {
+ intros. elim H0; simpl; ElimOrEq; OrEq.
+ }
+ red. destruct (cc_vararg (sig_cc s)).
+ exploit loc_arguments_vararg_charact; eauto.
+ destruct l; auto.
+ exploit loc_arguments_rec_charact; eauto.
+ destruct l; 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 ir fr ofs0,
+ ofs0 <= size_arguments_rec tyl ir fr ofs0.
+Proof.
+ induction tyl; simpl; intros.
+ omega.
+ destruct a.
+ destruct (zlt ir 4); eauto. apply Zle_trans with (ofs0 + 1); auto; omega.
+ destruct (zlt fr 8); eauto.
+ apply Zle_trans with (align ofs0 2). apply align_le; omega.
+ apply Zle_trans with (align ofs0 2 + 2); auto; omega.
+ set (ir' := align ir 2).
+ destruct (zlt ir' 4); eauto.
+ apply Zle_trans with (align ofs0 2). apply align_le; omega.
+ apply Zle_trans with (align ofs0 2 + 2); auto; omega.
+ destruct (zlt fr 8); eauto.
+ apply Zle_trans with (ofs0 + 1); eauto. omega.
+Qed.
+
+Remark size_arguments_vararg_above:
+ forall tyl ofs0,
+ Zmax 0 ofs0 <= size_arguments_vararg tyl ofs0.
+Proof.
+ induction tyl; simpl; intros.
+ omega.
+ destruct a; (eapply Zle_trans; [idtac|eauto]).
+ xomega.
+ assert (ofs0 <= align ofs0 2) by (apply align_le; omega). xomega.
+ assert (ofs0 <= align ofs0 2) by (apply align_le; omega). xomega.
+ xomega.
+Qed.
+
+Lemma size_arguments_above:
+ forall s, size_arguments s >= 0.
+Proof.
+ intros; unfold size_arguments. destruct (cc_vararg (sig_cc s)).
+ apply Zle_ge. change 0 with (Zmax 0 (-4)). apply size_arguments_vararg_above.
+ apply Zle_ge. apply size_arguments_rec_above.
+Qed.
+
+Lemma loc_arguments_rec_bounded:
+ forall ofs ty tyl ir fr ofs0,
+ In (S Outgoing ofs ty) (loc_arguments_rec tyl ir fr ofs0) ->
+ ofs + typesize ty <= size_arguments_rec tyl ir fr ofs0.
+Proof.
+ induction tyl; simpl; intros.
+ elim H.
+ destruct a.
+- (* int *)
+ destruct (zlt ir 4); destruct H.
+ discriminate.
+ eauto.
+ inv H. apply size_arguments_rec_above.
+ eauto.
+- (* float *)
+ destruct (zlt fr 8); destruct H.
+ discriminate.
+ eauto.
+ inv H. apply size_arguments_rec_above.
+ eauto.
+- (* long *)
+ destruct (zlt (align ir 2) 4).
+ destruct H. discriminate. destruct H. discriminate. eauto.
+ destruct H. inv H.
+ rewrite <- Zplus_assoc. simpl. apply size_arguments_rec_above.
+ destruct H. inv H.
+ eapply Zle_trans. 2: apply size_arguments_rec_above. simpl; omega.
+ eauto.
+- (* float *)
+ destruct (zlt fr 8); destruct H.
+ discriminate.
+ eauto.
+ inv H. apply size_arguments_rec_above.
+ eauto.
+Qed.
+
+Lemma loc_arguments_vararg_bounded:
+ forall ofs ty tyl ofs0,
+ In (S Outgoing ofs ty) (loc_arguments_vararg tyl ofs0) ->
+ Zmax 0 (ofs + typesize ty) <= size_arguments_vararg tyl ofs0.
+Proof.
+ induction tyl; simpl; intros.
+ elim H.
+ destruct a.
+- (* int *)
+ destruct H.
+ destruct (zlt ofs0 0); inv H. apply size_arguments_vararg_above.
+ eauto.
+- (* float *)
+ destruct H.
+ destruct (zlt (align ofs0 2) 0); inv H. apply size_arguments_vararg_above.
+ eauto.
+- (* long *)
+ destruct H.
+ destruct (zlt (align ofs0 2) 0); inv H.
+ rewrite <- Zplus_assoc. simpl. apply size_arguments_vararg_above.
+ destruct H.
+ destruct (zlt (align ofs0 2) 0); inv H.
+ eapply Zle_trans. 2: apply size_arguments_vararg_above. simpl; xomega.
+ eauto.
+- (* float *)
+ destruct H.
+ destruct (zlt ofs0 0); inv H. apply size_arguments_vararg_above.
+ eauto.
+Qed.
+
+Lemma loc_arguments_bounded:
+ forall (s: signature) (ofs: Z) (ty: typ),
+ In (S Outgoing ofs ty) (loc_arguments s) ->
+ ofs + typesize ty <= size_arguments s.
+Proof.
+ unfold loc_arguments, size_arguments; intros.
+ destruct (cc_vararg (sig_cc s)).
+ eapply Zle_trans. 2: eapply loc_arguments_vararg_bounded; eauto. xomega.
+ eapply loc_arguments_rec_bounded; eauto.
+Qed.
diff --git a/arm/hardfloat/Stacklayout.v b/arm/hardfloat/Stacklayout.v
new file mode 100644
index 0000000..7694dcf
--- /dev/null
+++ b/arm/hardfloat/Stacklayout.v
@@ -0,0 +1,132 @@
+(* *********************************************************************)
+(* *)
+(* 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. *)
+(* *)
+(* *********************************************************************)
+
+(** Machine- and ABI-dependent layout information for activation records. *)
+
+Require Import Coqlib.
+Require Import Bounds.
+
+(** The general shape of activation records is as follows,
+ from bottom (lowest offsets) to top:
+- Space for outgoing arguments to function calls.
+- Local stack slots.
+- Saved values of integer callee-save registers used by the function.
+- Saved values of float callee-save registers used by the function.
+- Saved return address into caller.
+- Pointer to activation record of the caller.
+- Space for the stack-allocated data declared in Cminor.
+
+The [frame_env] compilation environment records the positions of
+the boundaries between areas in the frame part.
+*)
+
+Definition fe_ofs_arg := 0.
+
+Record frame_env : Type := mk_frame_env {
+ fe_size: Z;
+ fe_ofs_link: Z;
+ fe_ofs_retaddr: Z;
+ fe_ofs_local: Z;
+ fe_ofs_int_callee_save: Z;
+ fe_num_int_callee_save: Z;
+ fe_ofs_float_callee_save: Z;
+ fe_num_float_callee_save: Z;
+ fe_stack_data: Z
+}.
+
+(** Computation of the frame environment from the bounds of the current
+ function. *)
+
+Definition make_env (b: bounds) :=
+ let ol := align (4 * b.(bound_outgoing)) 8 in (* locals *)
+ let oics := ol + 4 * b.(bound_local) in (* integer callee-saves *)
+ let oendi := oics + 4 * b.(bound_int_callee_save) in
+ let ofcs := align oendi 8 in (* float callee-saves *)
+ let ora := ofcs + 8 * b.(bound_float_callee_save) in (* retaddr *)
+ let olink := ora + 4 in (* back link *)
+ let ostkdata := olink + 4 in (* stack data *)
+ let sz := align (ostkdata + b.(bound_stack_data)) 8 in
+ mk_frame_env sz olink ora ol
+ oics b.(bound_int_callee_save)
+ ofcs b.(bound_float_callee_save)
+ ostkdata.
+
+(** Separation property *)
+
+Remark frame_env_separated:
+ forall b,
+ let fe := make_env b in
+ 0 <= fe_ofs_arg
+ /\ fe_ofs_arg + 4 * b.(bound_outgoing) <= fe.(fe_ofs_local)
+ /\ fe.(fe_ofs_local) + 4 * b.(bound_local) <= fe.(fe_ofs_int_callee_save)
+ /\ fe.(fe_ofs_int_callee_save) + 4 * b.(bound_int_callee_save) <= fe.(fe_ofs_float_callee_save)
+ /\ fe.(fe_ofs_float_callee_save) + 8 * b.(bound_float_callee_save) <= fe.(fe_ofs_retaddr)
+ /\ fe.(fe_ofs_retaddr) + 4 <= fe.(fe_ofs_link)
+ /\ fe.(fe_ofs_link) + 4 <= fe.(fe_stack_data)
+ /\ fe.(fe_stack_data) + b.(bound_stack_data) <= fe.(fe_size).
+Proof.
+ intros.
+ generalize (align_le (4 * bound_outgoing b) 8 (refl_equal)).
+ generalize (align_le (fe_ofs_int_callee_save fe + 4 * b.(bound_int_callee_save)) 8 (refl_equal _)).
+ generalize (align_le (fe_stack_data fe + b.(bound_stack_data)) 8 (refl_equal)).
+ unfold fe, make_env, fe_size, fe_ofs_link, fe_ofs_retaddr,
+ fe_ofs_local, fe_ofs_int_callee_save, fe_num_int_callee_save,
+ fe_ofs_float_callee_save, fe_num_float_callee_save,
+ fe_stack_data, fe_ofs_arg.
+ intros.
+ generalize (bound_local_pos b); intro;
+ generalize (bound_int_callee_save_pos b); intro;
+ generalize (bound_float_callee_save_pos b); intro;
+ generalize (bound_outgoing_pos b); intro;
+ generalize (bound_stack_data_pos b); intro.
+ omega.
+Qed.
+
+(** Alignment property *)
+
+Remark frame_env_aligned:
+ forall b,
+ let fe := make_env b in
+ (4 | fe.(fe_ofs_link))
+ /\ (8 | fe.(fe_ofs_local))
+ /\ (4 | fe.(fe_ofs_int_callee_save))
+ /\ (8 | fe.(fe_ofs_float_callee_save))
+ /\ (4 | fe.(fe_ofs_retaddr))
+ /\ (8 | fe.(fe_stack_data))
+ /\ (8 | fe.(fe_size)).
+Proof.
+ intros.
+ unfold fe, make_env, fe_size, fe_ofs_link, fe_ofs_retaddr,
+ fe_ofs_local, fe_ofs_int_callee_save, fe_num_int_callee_save,
+ fe_ofs_float_callee_save, fe_num_float_callee_save,
+ fe_stack_data.
+ set (x1 := 4 * bound_outgoing b).
+ assert (4 | x1). unfold x1; exists (bound_outgoing b); ring.
+ set (x2 := align x1 8).
+ assert (8 | x2). apply align_divides. omega.
+ set (x3 := x2 + 4 * bound_local b).
+ assert (4 | x3). apply Zdivide_plus_r. apply Zdivides_trans with 8; auto. exists 2; auto.
+ exists (bound_local b); ring.
+ set (x4 := align (x3 + 4 * bound_int_callee_save b) 8).
+ assert (8 | x4). apply align_divides. omega.
+ set (x5 := x4 + 8 * bound_float_callee_save b).
+ assert (8 | x5). apply Zdivide_plus_r; auto. exists (bound_float_callee_save b); ring.
+ assert (4 | x5). apply Zdivides_trans with 8; auto. exists 2; auto.
+ set (x6 := x5 + 4).
+ assert (4 | x6). apply Zdivide_plus_r; auto. exists 1; auto.
+ set (x7 := x6 + 4).
+ assert (8 | x7). unfold x7, x6. replace (x5 + 4 + 4) with (x5 + 8) by omega.
+ apply Zdivide_plus_r; auto. exists 1; auto.
+ set (x8 := align (x7 + bound_stack_data b) 8).
+ assert (8 | x8). apply align_divides. omega.
+ tauto.
+Qed.