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+(* *********************************************************************)
+(* *)
+(* The Compcert verified compiler *)
+(* *)
+(* Xavier Leroy, INRIA Paris *)
+(* *)
+(* 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. *)
+(* *)
+(* *********************************************************************)
+
+(** Instruction selection for operators *)
+
+(** The instruction selection pass recognizes opportunities for using
+ combined arithmetic and logical operations and addressing modes
+ offered by the target processor. For instance, the expression [x + 1]
+ can take advantage of the "immediate add" instruction of the processor,
+ and on the PowerPC, the expression [(x >> 6) & 0xFF] can be turned
+ into a "rotate and mask" instruction.
+
+ This file defines functions for building CminorSel expressions and
+ statements, especially expressions consisting of operator
+ applications. These functions examine their arguments to choose
+ cheaper forms of operators whenever possible.
+
+ For instance, [add e1 e2] will return a CminorSel expression semantically
+ equivalent to [Eop Oadd (e1 ::: e2 ::: Enil)], but will use a
+ [Oaddimm] operator if one of the arguments is an integer constant,
+ or suppress the addition altogether if one of the arguments is the
+ null integer. In passing, we perform operator reassociation
+ ([(e + c1) * c2] becomes [(e * c2) + (c1 * c2)]) and a small amount
+ of constant propagation.
+
+ On top of the "smart constructor" functions defined below,
+ module [Selection] implements the actual instruction selection pass.
+*)
+
+Require Import Coqlib.
+Require Import Compopts.
+Require Import AST Integers Floats Builtins.
+Require Import Op CminorSel.
+Require Archi.
+
+Local Open Scope cminorsel_scope.
+
+(** ** Constants **)
+
+(** External oracle to determine whether a symbol should be addressed
+ through [Oindirectsymbol] or can be addressed via [Oleal Aglobal].
+ This is to accommodate MacOS X's limitations on references to data
+ symbols imported from shared libraries. It can also help with PIC
+ code under ELF. *)
+
+Parameter symbol_is_external: ident -> bool.
+
+Definition Olea_ptr (a: addressing) := if Archi.ptr64 then Oleal a else Olea a.
+
+Definition addrsymbol (id: ident) (ofs: ptrofs) :=
+ if symbol_is_external id then
+ if Ptrofs.eq ofs Ptrofs.zero
+ then Eop (Oindirectsymbol id) Enil
+ else Eop (Olea_ptr (Aindexed (Ptrofs.unsigned ofs))) (Eop (Oindirectsymbol id) Enil ::: Enil)
+ else
+ Eop (Olea_ptr (Aglobal id ofs)) Enil.
+
+Definition addrstack (ofs: ptrofs) :=
+ Eop (Olea_ptr (Ainstack ofs)) Enil.
+
+(** ** Integer logical negation *)
+
+Nondetfunction notint (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => Eop (Ointconst (Int.not n)) Enil
+ | Eop (Oxorimm n) (e1 ::: Enil) => Eop (Oxorimm (Int.not n)) (e1 ::: Enil)
+ | _ => Eop Onot (e ::: Enil)
+ end.
+
+(** ** Integer addition and pointer addition *)
+
+Nondetfunction addimm (n: int) (e: expr) :=
+ if Int.eq n Int.zero then e else
+ match e with
+ | Eop (Ointconst m) Enil => Eop (Ointconst(Int.add n m)) Enil
+ | Eop (Olea addr) args => Eop (Olea (offset_addressing_total addr (Int.signed n))) args
+ | _ => Eop (Olea (Aindexed (Int.signed n))) (e ::: Enil)
+ end.
+
+Nondetfunction add (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | Eop (Ointconst n1) Enil, t2 => addimm n1 t2
+ | t1, Eop (Ointconst n2) Enil => addimm n2 t1
+ | Eop (Olea (Aindexed n1)) (t1:::Enil), Eop (Olea (Aindexed n2)) (t2:::Enil) =>
+ Eop (Olea (Aindexed2 (n1 + n2))) (t1:::t2:::Enil)
+ | Eop (Olea (Aindexed n1)) (t1:::Enil), Eop (Olea (Ascaled sc n2)) (t2:::Enil) =>
+ Eop (Olea (Aindexed2scaled sc (n1 + n2))) (t1:::t2:::Enil)
+ | Eop (Olea (Ascaled sc n1)) (t1:::Enil), Eop (Olea (Aindexed n2)) (t2:::Enil) =>
+ Eop (Olea (Aindexed2scaled sc (n1 + n2))) (t2:::t1:::Enil)
+ | Eop (Olea (Aindexed n1)) (t1:::Enil), Eop (Olea (Aglobal id ofs)) Enil =>
+ Eop (Olea (Abased id (Ptrofs.add ofs (Ptrofs.repr n1)))) (t1:::Enil)
+ | Eop (Olea (Aglobal id ofs)) Enil, Eop (Olea (Aindexed n2)) (t2:::Enil) =>
+ Eop (Olea (Abased id (Ptrofs.add ofs (Ptrofs.repr n2)))) (t2:::Enil)
+ | Eop (Olea (Ascaled sc n1)) (t1:::Enil), Eop (Olea (Aglobal id ofs)) Enil =>
+ Eop (Olea (Abasedscaled sc id (Ptrofs.add ofs (Ptrofs.repr n1)))) (t1:::Enil)
+ | Eop (Olea (Aglobal id ofs)) Enil, Eop (Olea (Ascaled sc n2)) (t2:::Enil) =>
+ Eop (Olea (Abasedscaled sc id (Ptrofs.add ofs (Ptrofs.repr n2)))) (t2:::Enil)
+ | Eop (Olea (Ascaled sc n)) (t1:::Enil), t2 =>
+ Eop (Olea (Aindexed2scaled sc n)) (t2:::t1:::Enil)
+ | t1, Eop (Olea (Ascaled sc n)) (t2:::Enil) =>
+ Eop (Olea (Aindexed2scaled sc n)) (t1:::t2:::Enil)
+ | Eop (Olea (Aindexed n)) (t1:::Enil), t2 =>
+ Eop (Olea (Aindexed2 n)) (t1:::t2:::Enil)
+ | t1, Eop (Olea (Aindexed n)) (t2:::Enil) =>
+ Eop (Olea (Aindexed2 n)) (t1:::t2:::Enil)
+ | _, _ =>
+ Eop (Olea (Aindexed2 0)) (e1:::e2:::Enil)
+ end.
+
+(** ** Opposite *)
+
+Nondetfunction negint (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => Eop (Ointconst (Int.neg n)) Enil
+ | _ => Eop Oneg (e ::: Enil)
+ end.
+
+(** ** Integer and pointer subtraction *)
+
+Nondetfunction sub (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | t1, Eop (Ointconst n2) Enil => addimm (Int.neg n2) t1
+ | Eop (Olea (Aindexed n1)) (t1:::Enil), Eop (Olea (Aindexed n2)) (t2:::Enil) =>
+ addimm (Int.repr (n1 - n2)) (Eop Osub (t1:::t2:::Enil))
+ | Eop (Olea (Aindexed n1)) (t1:::Enil), t2 =>
+ addimm (Int.repr n1) (Eop Osub (t1:::t2:::Enil))
+ | t1, Eop (Olea (Aindexed n2)) (t2:::Enil) =>
+ addimm (Int.repr (-n2)) (Eop Osub (t1:::t2:::Enil))
+ | _, _ =>
+ Eop Osub (e1:::e2:::Enil)
+ end.
+
+(** ** Immediate shifts *)
+
+Definition shift_is_scale (n: int) : bool :=
+ Int.eq n (Int.repr 1) || Int.eq n (Int.repr 2) || Int.eq n (Int.repr 3).
+
+Nondetfunction shlimm (e1: expr) (n: int) :=
+ if Int.eq n Int.zero then e1 else
+ if negb (Int.ltu n Int.iwordsize) then
+ Eop Oshl (e1:::Eop (Ointconst n) Enil:::Enil)
+ else
+ match e1 with
+ | Eop (Ointconst n1) Enil =>
+ Eop (Ointconst(Int.shl n1 n)) Enil
+ | Eop (Oshlimm n1) (t1:::Enil) =>
+ if Int.ltu (Int.add n n1) Int.iwordsize
+ then Eop (Oshlimm (Int.add n n1)) (t1:::Enil)
+ else Eop (Oshlimm n) (e1:::Enil)
+ | Eop (Olea (Aindexed n1)) (t1:::Enil) =>
+ if shift_is_scale n
+ then Eop (Olea (Ascaled (Int.unsigned (Int.shl Int.one n))
+ (Int.unsigned (Int.shl (Int.repr n1) n)))) (t1:::Enil)
+ else Eop (Oshlimm n) (e1:::Enil)
+ | _ =>
+ if shift_is_scale n
+ then Eop (Olea (Ascaled (Int.unsigned (Int.shl Int.one n)) 0)) (e1:::Enil)
+ else Eop (Oshlimm n) (e1:::Enil)
+ end.
+
+Nondetfunction shruimm (e1: expr) (n: int) :=
+ if Int.eq n Int.zero then e1 else
+ if negb (Int.ltu n Int.iwordsize) then
+ Eop Oshru (e1:::Eop (Ointconst n) Enil:::Enil)
+ else
+ match e1 with
+ | Eop (Ointconst n1) Enil =>
+ Eop (Ointconst(Int.shru n1 n)) Enil
+ | Eop (Oshruimm n1) (t1:::Enil) =>
+ if Int.ltu (Int.add n n1) Int.iwordsize
+ then Eop (Oshruimm (Int.add n n1)) (t1:::Enil)
+ else Eop (Oshruimm n) (e1:::Enil)
+ | _ =>
+ Eop (Oshruimm n) (e1:::Enil)
+ end.
+
+Nondetfunction shrimm (e1: expr) (n: int) :=
+ if Int.eq n Int.zero then e1 else
+ if negb (Int.ltu n Int.iwordsize) then
+ Eop Oshr (e1:::Eop (Ointconst n) Enil:::Enil)
+ else
+ match e1 with
+ | Eop (Ointconst n1) Enil =>
+ Eop (Ointconst(Int.shr n1 n)) Enil
+ | Eop (Oshrimm n1) (t1:::Enil) =>
+ if Int.ltu (Int.add n n1) Int.iwordsize
+ then Eop (Oshrimm (Int.add n n1)) (t1:::Enil)
+ else Eop (Oshrimm n) (e1:::Enil)
+ | _ =>
+ Eop (Oshrimm n) (e1:::Enil)
+ end.
+
+(** ** Integer multiply *)
+
+Definition mulimm_base (n1: int) (e2: expr) :=
+ match Int.one_bits n1 with
+ | i :: nil =>
+ shlimm e2 i
+ | i :: j :: nil =>
+ Elet e2 (add (shlimm (Eletvar 0) i) (shlimm (Eletvar 0) j))
+ | _ =>
+ Eop (Omulimm n1) (e2:::Enil)
+ end.
+
+Nondetfunction mulimm (n1: int) (e2: expr) :=
+ if Int.eq n1 Int.zero then Eop (Ointconst Int.zero) Enil
+ else if Int.eq n1 Int.one then e2
+ else match e2 with
+ | Eop (Ointconst n2) Enil => Eop (Ointconst(Int.mul n1 n2)) Enil
+ | Eop (Olea (Aindexed n2)) (t2:::Enil) => addimm (Int.mul n1 (Int.repr n2)) (mulimm_base n1 t2)
+ | _ => mulimm_base n1 e2
+ end.
+
+Nondetfunction mul (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | Eop (Ointconst n1) Enil, t2 => mulimm n1 t2
+ | t1, Eop (Ointconst n2) Enil => mulimm n2 t1
+ | _, _ => Eop Omul (e1:::e2:::Enil)
+ end.
+
+Definition mulhs (e1: expr) (e2: expr) := Eop Omulhs (e1 ::: e2 ::: Enil).
+Definition mulhu (e1: expr) (e2: expr) := Eop Omulhu (e1 ::: e2 ::: Enil).
+
+(** ** Bitwise and, or, xor *)
+
+Nondetfunction andimm (n1: int) (e2: expr) :=
+ if Int.eq n1 Int.zero then Eop (Ointconst Int.zero) Enil
+ else if Int.eq n1 Int.mone then e2
+ else match e2 with
+ | Eop (Ointconst n2) Enil =>
+ Eop (Ointconst (Int.and n1 n2)) Enil
+ | Eop (Oandimm n2) (t2:::Enil) =>
+ Eop (Oandimm (Int.and n1 n2)) (t2:::Enil)
+ | Eop Ocast8unsigned (t2:::Enil) =>
+ Eop (Oandimm (Int.and n1 (Int.repr 255))) (t2:::Enil)
+ | Eop Ocast16unsigned (t2:::Enil) =>
+ Eop (Oandimm (Int.and n1 (Int.repr 65535))) (t2:::Enil)
+ | _ =>
+ Eop (Oandimm n1) (e2:::Enil)
+ end.
+
+Nondetfunction and (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | Eop (Ointconst n1) Enil, t2 => andimm n1 t2
+ | t1, Eop (Ointconst n2) Enil => andimm n2 t1
+ | _, _ => Eop Oand (e1:::e2:::Enil)
+ end.
+
+Nondetfunction orimm (n1: int) (e2: expr) :=
+ if Int.eq n1 Int.zero then e2
+ else if Int.eq n1 Int.mone then Eop (Ointconst Int.mone) Enil
+ else match e2 with
+ | Eop (Ointconst n2) Enil =>
+ Eop (Ointconst (Int.or n1 n2)) Enil
+ | Eop (Oorimm n2) (t2:::Enil) =>
+ Eop (Oorimm (Int.or n1 n2)) (t2:::Enil)
+ | _ =>
+ Eop (Oorimm n1) (e2:::Enil)
+ end.
+
+Definition same_expr_pure (e1 e2: expr) :=
+ match e1, e2 with
+ | Evar v1, Evar v2 => if ident_eq v1 v2 then true else false
+ | _, _ => false
+ end.
+
+Nondetfunction or (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | Eop (Ointconst n1) Enil, t2 => orimm n1 t2
+ | t1, Eop (Ointconst n2) Enil => orimm n2 t1
+ | Eop (Oshlimm n1) (t1:::Enil), Eop (Oshruimm n2) (t2:::Enil) =>
+ if Int.eq (Int.add n1 n2) Int.iwordsize then
+ if same_expr_pure t1 t2
+ then Eop (Ororimm n2) (t1:::Enil)
+ else Eop (Oshldimm n1) (t1:::t2:::Enil)
+ else Eop Oor (e1:::e2:::Enil)
+ | Eop (Oshruimm n2) (t2:::Enil), Eop (Oshlimm n1) (t1:::Enil) =>
+ if Int.eq (Int.add n1 n2) Int.iwordsize then
+ if same_expr_pure t1 t2
+ then Eop (Ororimm n2) (t1:::Enil)
+ else Eop (Oshldimm n1) (t1:::t2:::Enil)
+ else Eop Oor (e1:::e2:::Enil)
+ | _, _ =>
+ Eop Oor (e1:::e2:::Enil)
+ end.
+
+Nondetfunction xorimm (n1: int) (e2: expr) :=
+ if Int.eq n1 Int.zero then e2
+ else match e2 with
+ | Eop (Ointconst n2) Enil =>
+ Eop (Ointconst (Int.xor n1 n2)) Enil
+ | Eop (Oxorimm n2) (t2:::Enil) =>
+ Eop (Oxorimm (Int.xor n1 n2)) (t2:::Enil)
+ | Eop Onot (t2:::Enil) =>
+ Eop (Oxorimm (Int.not n1)) (t2:::Enil)
+ | _ =>
+ Eop (Oxorimm n1) (e2:::Enil)
+ end.
+
+Nondetfunction xor (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | Eop (Ointconst n1) Enil, t2 => xorimm n1 t2
+ | t1, Eop (Ointconst n2) Enil => xorimm n2 t1
+ | _, _ => Eop Oxor (e1:::e2:::Enil)
+ end.
+
+(** ** Integer division and modulus *)
+
+Definition divu_base (e1: expr) (e2: expr) := Eop Odivu (e1:::e2:::Enil).
+Definition modu_base (e1: expr) (e2: expr) := Eop Omodu (e1:::e2:::Enil).
+Definition divs_base (e1: expr) (e2: expr) := Eop Odiv (e1:::e2:::Enil).
+Definition mods_base (e1: expr) (e2: expr) := Eop Omod (e1:::e2:::Enil).
+
+Definition shrximm (e1: expr) (n2: int) :=
+ if Int.eq n2 Int.zero then e1 else Eop (Oshrximm n2) (e1:::Enil).
+
+(** ** General shifts *)
+
+Nondetfunction shl (e1: expr) (e2: expr) :=
+ match e2 with
+ | Eop (Ointconst n2) Enil => shlimm e1 n2
+ | _ => Eop Oshl (e1:::e2:::Enil)
+ end.
+
+Nondetfunction shr (e1: expr) (e2: expr) :=
+ match e2 with
+ | Eop (Ointconst n2) Enil => shrimm e1 n2
+ | _ => Eop Oshr (e1:::e2:::Enil)
+ end.
+
+Nondetfunction shru (e1: expr) (e2: expr) :=
+ match e2 with
+ | Eop (Ointconst n2) Enil => shruimm e1 n2
+ | _ => Eop Oshru (e1:::e2:::Enil)
+ end.
+
+(** ** Floating-point arithmetic *)
+
+Definition negf (e: expr) := Eop Onegf (e ::: Enil).
+Definition absf (e: expr) := Eop Oabsf (e ::: Enil).
+Definition addf (e1 e2: expr) := Eop Oaddf (e1 ::: e2 ::: Enil).
+Definition subf (e1 e2: expr) := Eop Osubf (e1 ::: e2 ::: Enil).
+Definition mulf (e1 e2: expr) := Eop Omulf (e1 ::: e2 ::: Enil).
+
+Definition negfs (e: expr) := Eop Onegfs (e ::: Enil).
+Definition absfs (e: expr) := Eop Oabsfs (e ::: Enil).
+Definition addfs (e1 e2: expr) := Eop Oaddfs (e1 ::: e2 ::: Enil).
+Definition subfs (e1 e2: expr) := Eop Osubfs (e1 ::: e2 ::: Enil).
+Definition mulfs (e1 e2: expr) := Eop Omulfs (e1 ::: e2 ::: Enil).
+
+(** ** Comparisons *)
+
+Nondetfunction compimm (default: comparison -> int -> condition)
+ (sem: comparison -> int -> int -> bool)
+ (c: comparison) (e1: expr) (n2: int) :=
+ match c, e1 with
+ | c, Eop (Ointconst n1) Enil =>
+ Eop (Ointconst (if sem c n1 n2 then Int.one else Int.zero)) Enil
+ | Ceq, Eop (Ocmp c) el =>
+ if Int.eq_dec n2 Int.zero then
+ Eop (Ocmp (negate_condition c)) el
+ else if Int.eq_dec n2 Int.one then
+ Eop (Ocmp c) el
+ else
+ Eop (Ointconst Int.zero) Enil
+ | Cne, Eop (Ocmp c) el =>
+ if Int.eq_dec n2 Int.zero then
+ Eop (Ocmp c) el
+ else if Int.eq_dec n2 Int.one then
+ Eop (Ocmp (negate_condition c)) el
+ else
+ Eop (Ointconst Int.one) Enil
+ | Ceq, Eop (Oandimm n1) (t1 ::: Enil) =>
+ if Int.eq_dec n2 Int.zero then
+ Eop (Ocmp (Cmaskzero n1)) (t1 ::: Enil)
+ else
+ Eop (Ocmp (default c n2)) (e1 ::: Enil)
+ | Cne, Eop (Oandimm n1) (t1 ::: Enil) =>
+ if Int.eq_dec n2 Int.zero then
+ Eop (Ocmp (Cmasknotzero n1)) (t1 ::: Enil)
+ else
+ Eop (Ocmp (default c n2)) (e1 ::: Enil)
+ | _, _ =>
+ Eop (Ocmp (default c n2)) (e1 ::: Enil)
+ end.
+
+Nondetfunction comp (c: comparison) (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | Eop (Ointconst n1) Enil, t2 =>
+ compimm Ccompimm Int.cmp (swap_comparison c) t2 n1
+ | t1, Eop (Ointconst n2) Enil =>
+ compimm Ccompimm Int.cmp c t1 n2
+ | _, _ =>
+ Eop (Ocmp (Ccomp c)) (e1 ::: e2 ::: Enil)
+ end.
+
+Nondetfunction compu (c: comparison) (e1: expr) (e2: expr) :=
+ match e1, e2 with
+ | Eop (Ointconst n1) Enil, t2 =>
+ compimm Ccompuimm Int.cmpu (swap_comparison c) t2 n1
+ | t1, Eop (Ointconst n2) Enil =>
+ compimm Ccompuimm Int.cmpu c t1 n2
+ | _, _ =>
+ Eop (Ocmp (Ccompu c)) (e1 ::: e2 ::: Enil)
+ end.
+
+Definition compf (c: comparison) (e1: expr) (e2: expr) :=
+ Eop (Ocmp (Ccompf c)) (e1 ::: e2 ::: Enil).
+
+Definition compfs (c: comparison) (e1: expr) (e2: expr) :=
+ Eop (Ocmp (Ccompfs c)) (e1 ::: e2 ::: Enil).
+
+(** ** Integer conversions *)
+
+Nondetfunction cast8unsigned (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil =>
+ Eop (Ointconst (Int.zero_ext 8 n)) Enil
+ | Eop (Oandimm n) (t:::Enil) =>
+ andimm (Int.and (Int.repr 255) n) t
+ | _ =>
+ Eop Ocast8unsigned (e:::Enil)
+ end.
+
+Nondetfunction cast8signed (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil =>
+ Eop (Ointconst (Int.sign_ext 8 n)) Enil
+ | _ =>
+ Eop Ocast8signed (e ::: Enil)
+ end.
+
+Nondetfunction cast16unsigned (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil =>
+ Eop (Ointconst (Int.zero_ext 16 n)) Enil
+ | Eop (Oandimm n) (t:::Enil) =>
+ andimm (Int.and (Int.repr 65535) n) t
+ | _ =>
+ Eop Ocast16unsigned (e:::Enil)
+ end.
+
+Nondetfunction cast16signed (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil =>
+ Eop (Ointconst (Int.sign_ext 16 n)) Enil
+ | _ =>
+ Eop Ocast16signed (e ::: Enil)
+ end.
+
+(** ** Selection *)
+
+Definition select_supported (ty: typ) : bool :=
+ match ty with
+ | Tint => true
+ | Tlong => Archi.ptr64
+ | _ => false
+ end.
+
+(** [Asmgen.mk_sel] cannot always handle the conditions that are
+ implemented as a "and" of two processor flags. However it can
+ handle the negation of those conditions, which are implemented
+ as an "or". So, for the risky conditions we just take their
+ negation and swap the two arguments of the [select]. *)
+
+Definition select_swap (cond: condition) :=
+ match cond with
+ | Ccompf Cne | Ccompfs Cne | Cnotcompf Ceq | Cnotcompfs Ceq => true
+ | _ => false
+ end.
+
+Definition select (ty: typ) (cond: condition) (args: exprlist) (e1 e2: expr) :=
+ if select_supported ty then
+ if select_swap cond
+ then Some (Eop (Osel (negate_condition cond) ty) (e2 ::: e1 ::: args))
+ else Some (Eop (Osel cond ty) (e1 ::: e2 ::: args))
+ else None.
+
+(** ** Floating-point conversions *)
+
+Definition singleoffloat (e: expr) := Eop Osingleoffloat (e ::: Enil).
+Definition floatofsingle (e: expr) := Eop Ofloatofsingle (e ::: Enil).
+
+Definition intoffloat (e: expr) := Eop Ointoffloat (e ::: Enil).
+
+Nondetfunction floatofint (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => Eop (Ofloatconst (Float.of_int n)) Enil
+ | _ => Eop Ofloatofint (e ::: Enil)
+ end.
+
+Definition intuoffloat (e: expr) :=
+ if Archi.splitlong then
+ Elet e
+ (Elet (Eop (Ofloatconst (Float.of_intu Float.ox8000_0000)) Enil)
+ (Econdition (CEcond (Ccompf Clt) (Eletvar 1 ::: Eletvar 0 ::: Enil))
+ (intoffloat (Eletvar 1))
+ (addimm Float.ox8000_0000 (intoffloat (subf (Eletvar 1) (Eletvar 0))))))%nat
+ else
+ Eop Olowlong (Eop Olongoffloat (e ::: Enil) ::: Enil).
+
+Nondetfunction floatofintu (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => Eop (Ofloatconst (Float.of_intu n)) Enil
+ | _ =>
+ if Archi.splitlong then
+ let f := Eop (Ofloatconst (Float.of_intu Float.ox8000_0000)) Enil in
+ Elet e
+ (Econdition (CEcond (Ccompuimm Clt Float.ox8000_0000) (Eletvar O ::: Enil))
+ (floatofint (Eletvar O))
+ (addf (floatofint (addimm (Int.neg Float.ox8000_0000) (Eletvar O))) f))
+ else
+ Eop Ofloatoflong (Eop Ocast32unsigned (e ::: Enil) ::: Enil)
+ end.
+
+Definition intofsingle (e: expr) := Eop Ointofsingle (e ::: Enil).
+
+Nondetfunction singleofint (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => Eop (Osingleconst (Float32.of_int n)) Enil
+ | _ => Eop Osingleofint (e ::: Enil)
+ end.
+
+Definition intuofsingle (e: expr) := intuoffloat (floatofsingle e).
+
+Nondetfunction singleofintu (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => Eop (Osingleconst (Float32.of_intu n)) Enil
+ | _ => singleoffloat (floatofintu e)
+ end.
+
+(** ** Addressing modes *)
+
+Nondetfunction addressing (chunk: memory_chunk) (e: expr) :=
+ match e with
+ | Eop (Olea addr) args =>
+ if (negb Archi.ptr64) && addressing_valid addr then (addr, args) else (Aindexed 0, e:::Enil)
+ | Eop (Oleal addr) args =>
+ if Archi.ptr64 && addressing_valid addr then (addr, args) else (Aindexed 0, e:::Enil)
+ | _ => (Aindexed 0, e:::Enil)
+ end.
+
+(** ** Arguments of builtins *)
+
+Nondetfunction builtin_arg_addr (addr: Op.addressing) (el: exprlist) :=
+ match addr, el with
+ | Aindexed n, e1 ::: Enil =>
+ BA_addptr (BA e1) (if Archi.ptr64 then BA_long (Int64.repr n) else BA_int (Int.repr n))
+ | Aglobal id ofs, Enil => BA_addrglobal id ofs
+ | Ainstack ofs, Enil => BA_addrstack ofs
+ | _, _ => BA (Eop (Olea_ptr addr) el)
+ end.
+
+Nondetfunction builtin_arg (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => BA_int n
+ | Eop (Olongconst n) Enil => BA_long n
+ | Eop (Olea addr) el =>
+ if Archi.ptr64 then BA e else builtin_arg_addr addr el
+ | Eop (Oleal addr) el =>
+ if Archi.ptr64 then builtin_arg_addr addr el else BA e
+ | Eop Omakelong (Eop (Ointconst h) Enil ::: Eop (Ointconst l) Enil ::: Enil) =>
+ BA_long (Int64.ofwords h l)
+ | Eop Omakelong (h ::: l ::: Enil) => BA_splitlong (BA h) (BA l)
+ | Eload chunk (Aglobal id ofs) Enil => BA_loadglobal chunk id ofs
+ | Eload chunk (Ainstack ofs) Enil => BA_loadstack chunk ofs
+ | _ => BA e
+ end.
+
+(** Platform-specific known builtins *)
+
+Definition platform_builtin (b: platform_builtin) (args: exprlist) : option expr :=
+ None.