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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. *)
+(* *)
+(* *********************************************************************)
+
+(** Instruction selection for 64-bit integer operations *)
+
+Require Import Coqlib.
+Require Import AST.
+Require Import Integers.
+Require Import Floats.
+Require Import Op.
+Require Import CminorSel.
+Require Import SelectOp.
+
+Open Local Scope cminorsel_scope.
+
+(** Some operations on 64-bit integers are transformed into calls to
+ runtime library functions. The following record type collects
+ the names of these functions. *)
+
+Record helper_functions : Type := mk_helper_functions {
+ i64_dtos: ident; (**r float -> signed long *)
+ i64_dtou: ident; (**r float -> unsigned long *)
+ i64_stod: ident; (**r signed long -> float *)
+ i64_utod: ident; (**r unsigned long -> float *)
+ i64_stof: ident; (**r signed long -> float32 *)
+ i64_utof: ident; (**r unsigned long -> float32 *)
+ i64_neg: ident; (**r opposite *)
+ i64_add: ident; (**r addition *)
+ i64_sub: ident; (**r subtraction *)
+ i64_mul: ident; (**r multiplication 32x32->64 *)
+ i64_sdiv: ident; (**r signed division *)
+ i64_udiv: ident; (**r unsigned division *)
+ i64_smod: ident; (**r signed remainder *)
+ i64_umod: ident; (**r unsigned remainder *)
+ i64_shl: ident; (**r shift left *)
+ i64_shr: ident; (**r shift right unsigned *)
+ i64_sar: ident (**r shift right signed *)
+}.
+
+Definition sig_l_l := mksignature (Tlong :: nil) (Some Tlong).
+Definition sig_l_f := mksignature (Tlong :: nil) (Some Tfloat).
+Definition sig_l_s := mksignature (Tlong :: nil) (Some Tsingle).
+Definition sig_f_l := mksignature (Tfloat :: nil) (Some Tlong).
+Definition sig_ll_l := mksignature (Tlong :: Tlong :: nil) (Some Tlong).
+Definition sig_li_l := mksignature (Tlong :: Tint :: nil) (Some Tlong).
+Definition sig_ii_l := mksignature (Tint :: Tint :: nil) (Some Tlong).
+
+Section SELECT.
+
+Variable hf: helper_functions.
+
+Definition makelong (h l: expr): expr :=
+ Eop Omakelong (h ::: l ::: Enil).
+
+(** Original definition:
+<<
+Nondetfunction splitlong (e: expr) (f: expr -> expr -> expr) :=
+ match e with
+ | Eop Omakelong (h ::: l ::: Enil) => f h l
+ | _ => Elet e (f (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil)))
+ end.
+>>
+*)
+
+Inductive splitlong_cases: forall (e: expr) , Type :=
+ | splitlong_case1: forall h l, splitlong_cases (Eop Omakelong (h ::: l ::: Enil))
+ | splitlong_default: forall (e: expr) , splitlong_cases e.
+
+Definition splitlong_match (e: expr) :=
+ match e as zz1 return splitlong_cases zz1 with
+ | Eop Omakelong (h ::: l ::: Enil) => splitlong_case1 h l
+ | e => splitlong_default e
+ end.
+
+Definition splitlong (e: expr) (f: expr -> expr -> expr) :=
+ match splitlong_match e with
+ | splitlong_case1 h l => (* Eop Omakelong (h ::: l ::: Enil) *)
+ f h l
+ | splitlong_default e =>
+ Elet e (f (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil)))
+ end.
+
+
+(** Original definition:
+<<
+Nondetfunction splitlong2 (e1 e2: expr) (f: expr -> expr -> expr -> expr -> expr) :=
+ match e1, e2 with
+ | Eop Omakelong (h1 ::: l1 ::: Enil), Eop Omakelong (h2 ::: l2 ::: Enil) =>
+ f h1 l1 h2 l2
+ | Eop Omakelong (h1 ::: l1 ::: Enil), t2 =>
+ Elet t2 (f (lift h1) (lift l1)
+ (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil)))
+ | t1, Eop Omakelong (h2 ::: l2 ::: Enil) =>
+ Elet t1 (f (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil))
+ (lift h2) (lift l2))
+ | _, _ =>
+ Elet e1 (Elet (lift e2)
+ (f (Eop Ohighlong (Eletvar 1 ::: Enil)) (Eop Olowlong (Eletvar 1 ::: Enil))
+ (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil))))
+ end.
+>>
+*)
+
+Inductive splitlong2_cases: forall (e1 e2: expr) , Type :=
+ | splitlong2_case1: forall h1 l1 h2 l2, splitlong2_cases (Eop Omakelong (h1 ::: l1 ::: Enil)) (Eop Omakelong (h2 ::: l2 ::: Enil))
+ | splitlong2_case2: forall h1 l1 t2, splitlong2_cases (Eop Omakelong (h1 ::: l1 ::: Enil)) (t2)
+ | splitlong2_case3: forall t1 h2 l2, splitlong2_cases (t1) (Eop Omakelong (h2 ::: l2 ::: Enil))
+ | splitlong2_default: forall (e1 e2: expr) , splitlong2_cases e1 e2.
+
+Definition splitlong2_match (e1 e2: expr) :=
+ match e1 as zz1, e2 as zz2 return splitlong2_cases zz1 zz2 with
+ | Eop Omakelong (h1 ::: l1 ::: Enil), Eop Omakelong (h2 ::: l2 ::: Enil) => splitlong2_case1 h1 l1 h2 l2
+ | Eop Omakelong (h1 ::: l1 ::: Enil), t2 => splitlong2_case2 h1 l1 t2
+ | t1, Eop Omakelong (h2 ::: l2 ::: Enil) => splitlong2_case3 t1 h2 l2
+ | e1, e2 => splitlong2_default e1 e2
+ end.
+
+Definition splitlong2 (e1 e2: expr) (f: expr -> expr -> expr -> expr -> expr) :=
+ match splitlong2_match e1 e2 with
+ | splitlong2_case1 h1 l1 h2 l2 => (* Eop Omakelong (h1 ::: l1 ::: Enil), Eop Omakelong (h2 ::: l2 ::: Enil) *)
+ f h1 l1 h2 l2
+ | splitlong2_case2 h1 l1 t2 => (* Eop Omakelong (h1 ::: l1 ::: Enil), t2 *)
+ Elet t2 (f (lift h1) (lift l1) (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil)))
+ | splitlong2_case3 t1 h2 l2 => (* t1, Eop Omakelong (h2 ::: l2 ::: Enil) *)
+ Elet t1 (f (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil)) (lift h2) (lift l2))
+ | splitlong2_default e1 e2 =>
+ Elet e1 (Elet (lift e2) (f (Eop Ohighlong (Eletvar 1 ::: Enil)) (Eop Olowlong (Eletvar 1 ::: Enil)) (Eop Ohighlong (Eletvar O ::: Enil)) (Eop Olowlong (Eletvar O ::: Enil))))
+ end.
+
+
+(** Original definition:
+<<
+Nondetfunction lowlong (e: expr) :=
+ match e with
+ | Eop Omakelong (e1 ::: e2 ::: Enil) => e2
+ | _ => Eop Olowlong (e ::: Enil)
+ end.
+>>
+*)
+
+Inductive lowlong_cases: forall (e: expr), Type :=
+ | lowlong_case1: forall e1 e2, lowlong_cases (Eop Omakelong (e1 ::: e2 ::: Enil))
+ | lowlong_default: forall (e: expr), lowlong_cases e.
+
+Definition lowlong_match (e: expr) :=
+ match e as zz1 return lowlong_cases zz1 with
+ | Eop Omakelong (e1 ::: e2 ::: Enil) => lowlong_case1 e1 e2
+ | e => lowlong_default e
+ end.
+
+Definition lowlong (e: expr) :=
+ match lowlong_match e with
+ | lowlong_case1 e1 e2 => (* Eop Omakelong (e1 ::: e2 ::: Enil) *)
+ e2
+ | lowlong_default e =>
+ Eop Olowlong (e ::: Enil)
+ end.
+
+
+(** Original definition:
+<<
+Nondetfunction highlong (e: expr) :=
+ match e with
+ | Eop Omakelong (e1 ::: e2 ::: Enil) => e1
+ | _ => Eop Ohighlong (e ::: Enil)
+ end.
+>>
+*)
+
+Inductive highlong_cases: forall (e: expr), Type :=
+ | highlong_case1: forall e1 e2, highlong_cases (Eop Omakelong (e1 ::: e2 ::: Enil))
+ | highlong_default: forall (e: expr), highlong_cases e.
+
+Definition highlong_match (e: expr) :=
+ match e as zz1 return highlong_cases zz1 with
+ | Eop Omakelong (e1 ::: e2 ::: Enil) => highlong_case1 e1 e2
+ | e => highlong_default e
+ end.
+
+Definition highlong (e: expr) :=
+ match highlong_match e with
+ | highlong_case1 e1 e2 => (* Eop Omakelong (e1 ::: e2 ::: Enil) *)
+ e1
+ | highlong_default e =>
+ Eop Ohighlong (e ::: Enil)
+ end.
+
+
+Definition longconst (n: int64) : expr :=
+ makelong (Eop (Ointconst (Int64.hiword n)) Enil)
+ (Eop (Ointconst (Int64.loword n)) Enil).
+
+(** Original definition:
+<<
+Nondetfunction is_longconst (e: expr) :=
+ match e with
+ | Eop Omakelong (Eop (Ointconst h) Enil ::: Eop (Ointconst l) Enil ::: Enil) =>
+ Some(Int64.ofwords h l)
+ | _ =>
+ None
+ end.
+>>
+*)
+
+Inductive is_longconst_cases: forall (e: expr), Type :=
+ | is_longconst_case1: forall h l, is_longconst_cases (Eop Omakelong (Eop (Ointconst h) Enil ::: Eop (Ointconst l) Enil ::: Enil))
+ | is_longconst_default: forall (e: expr), is_longconst_cases e.
+
+Definition is_longconst_match (e: expr) :=
+ match e as zz1 return is_longconst_cases zz1 with
+ | Eop Omakelong (Eop (Ointconst h) Enil ::: Eop (Ointconst l) Enil ::: Enil) => is_longconst_case1 h l
+ | e => is_longconst_default e
+ end.
+
+Definition is_longconst (e: expr) :=
+ match is_longconst_match e with
+ | is_longconst_case1 h l => (* Eop Omakelong (Eop (Ointconst h) Enil ::: Eop (Ointconst l) Enil ::: Enil) *)
+ Some(Int64.ofwords h l)
+ | is_longconst_default e =>
+ None
+ end.
+
+
+Definition is_longconst_zero (e: expr) :=
+ match is_longconst e with
+ | Some n => Int64.eq n Int64.zero
+ | None => false
+ end.
+
+Definition intoflong (e: expr) := lowlong e.
+
+Definition longofint (e: expr) :=
+ Elet e (makelong (shrimm (Eletvar O) (Int.repr 31)) (Eletvar O)).
+
+Definition longofintu (e: expr) :=
+ makelong (Eop (Ointconst Int.zero) Enil) e.
+
+Definition negl (e: expr) :=
+ match is_longconst e with
+ | Some n => longconst (Int64.neg n)
+ | None => Ebuiltin (EF_builtin hf.(i64_neg) sig_l_l) (e ::: Enil)
+ end.
+
+Definition notl (e: expr) :=
+ splitlong e (fun h l => makelong (notint h) (notint l)).
+
+Definition longoffloat (arg: expr) :=
+ Eexternal hf.(i64_dtos) sig_f_l (arg ::: Enil).
+Definition longuoffloat (arg: expr) :=
+ Eexternal hf.(i64_dtou) sig_f_l (arg ::: Enil).
+Definition floatoflong (arg: expr) :=
+ Eexternal hf.(i64_stod) sig_l_f (arg ::: Enil).
+Definition floatoflongu (arg: expr) :=
+ Eexternal hf.(i64_utod) sig_l_f (arg ::: Enil).
+Definition singleoflong (arg: expr) :=
+ Eexternal hf.(i64_stof) sig_l_s (arg ::: Enil).
+Definition singleoflongu (arg: expr) :=
+ Eexternal hf.(i64_utof) sig_l_s (arg ::: Enil).
+
+Definition andl (e1 e2: expr) :=
+ splitlong2 e1 e2 (fun h1 l1 h2 l2 => makelong (and h1 h2) (and l1 l2)).
+
+Definition orl (e1 e2: expr) :=
+ splitlong2 e1 e2 (fun h1 l1 h2 l2 => makelong (or h1 h2) (or l1 l2)).
+
+Definition xorl (e1 e2: expr) :=
+ splitlong2 e1 e2 (fun h1 l1 h2 l2 => makelong (xor h1 h2) (xor l1 l2)).
+
+Definition shllimm (e1: expr) (n: int) :=
+ if Int.eq n Int.zero then e1 else
+ if Int.ltu n Int.iwordsize then
+ splitlong e1 (fun h l =>
+ makelong (or (shlimm h n) (shruimm l (Int.sub Int.iwordsize n)))
+ (shlimm l n))
+ else if Int.ltu n Int64.iwordsize' then
+ makelong (shlimm (lowlong e1) (Int.sub n Int.iwordsize))
+ (Eop (Ointconst Int.zero) Enil)
+ else
+ Eexternal hf.(i64_shl) sig_li_l (e1 ::: Eop (Ointconst n) Enil ::: Enil).
+
+Definition shrluimm (e1: expr) (n: int) :=
+ if Int.eq n Int.zero then e1 else
+ if Int.ltu n Int.iwordsize then
+ splitlong e1 (fun h l =>
+ makelong (shruimm h n)
+ (or (shruimm l n) (shlimm h (Int.sub Int.iwordsize n))))
+ else if Int.ltu n Int64.iwordsize' then
+ makelong (Eop (Ointconst Int.zero) Enil)
+ (shruimm (highlong e1) (Int.sub n Int.iwordsize))
+ else
+ Eexternal hf.(i64_shr) sig_li_l (e1 ::: Eop (Ointconst n) Enil ::: Enil).
+
+Definition shrlimm (e1: expr) (n: int) :=
+ if Int.eq n Int.zero then e1 else
+ if Int.ltu n Int.iwordsize then
+ splitlong e1 (fun h l =>
+ makelong (shrimm h n)
+ (or (shruimm l n) (shlimm h (Int.sub Int.iwordsize n))))
+ else if Int.ltu n Int64.iwordsize' then
+ Elet (highlong e1)
+ (makelong (shrimm (Eletvar 0) (Int.repr 31))
+ (shrimm (Eletvar 0) (Int.sub n Int.iwordsize)))
+ else
+ Eexternal hf.(i64_sar) sig_li_l (e1 ::: Eop (Ointconst n) Enil ::: Enil).
+
+Definition is_intconst (e: expr) :=
+ match e with
+ | Eop (Ointconst n) Enil => Some n
+ | _ => None
+ end.
+
+Definition shll (e1 e2: expr) :=
+ match is_intconst e2 with
+ | Some n => shllimm e1 n
+ | None => Eexternal hf.(i64_shl) sig_li_l (e1 ::: e2 ::: Enil)
+ end.
+
+Definition shrlu (e1 e2: expr) :=
+ match is_intconst e2 with
+ | Some n => shrluimm e1 n
+ | None => Eexternal hf.(i64_shr) sig_li_l (e1 ::: e2 ::: Enil)
+ end.
+
+Definition shrl (e1 e2: expr) :=
+ match is_intconst e2 with
+ | Some n => shrlimm e1 n
+ | None => Eexternal hf.(i64_sar) sig_li_l (e1 ::: e2 ::: Enil)
+ end.
+
+Definition addl (e1 e2: expr) :=
+ let default := Ebuiltin (EF_builtin hf.(i64_add) sig_ll_l) (e1 ::: e2 ::: Enil) in
+ match is_longconst e1, is_longconst e2 with
+ | Some n1, Some n2 => longconst (Int64.add n1 n2)
+ | Some n1, _ => if Int64.eq n1 Int64.zero then e2 else default
+ | _, Some n2 => if Int64.eq n2 Int64.zero then e1 else default
+ | _, _ => default
+ end.
+
+Definition subl (e1 e2: expr) :=
+ let default := Ebuiltin (EF_builtin hf.(i64_sub) sig_ll_l) (e1 ::: e2 ::: Enil) in
+ match is_longconst e1, is_longconst e2 with
+ | Some n1, Some n2 => longconst (Int64.sub n1 n2)
+ | Some n1, _ => if Int64.eq n1 Int64.zero then negl e2 else default
+ | _, Some n2 => if Int64.eq n2 Int64.zero then e1 else default
+ | _, _ => default
+ end.
+
+Definition mull_base (e1 e2: expr) :=
+ splitlong2 e1 e2 (fun h1 l1 h2 l2 =>
+ Elet (Ebuiltin (EF_builtin hf.(i64_mul) sig_ii_l) (l1 ::: l2 ::: Enil))
+ (makelong
+ (add (add (Eop Ohighlong (Eletvar O ::: Enil))
+ (mul (lift l1) (lift h2)))
+ (mul (lift h1) (lift l2)))
+ (Eop Olowlong (Eletvar O ::: Enil)))).
+
+Definition mullimm (e: expr) (n: int64) :=
+ if Int64.eq n Int64.zero then longconst Int64.zero else
+ if Int64.eq n Int64.one then e else
+ match Int64.is_power2 n with
+ | Some l => shllimm e (Int.repr (Int64.unsigned l))
+ | None => mull_base e (longconst n)
+ end.
+
+Definition mull (e1 e2: expr) :=
+ match is_longconst e1, is_longconst e2 with
+ | Some n1, Some n2 => longconst (Int64.mul n1 n2)
+ | Some n1, _ => mullimm e2 n1
+ | _, Some n2 => mullimm e1 n2
+ | _, _ => mull_base e1 e2
+ end.
+
+Definition binop_long (id: ident) (sem: int64 -> int64 -> int64) (e1 e2: expr) :=
+ match is_longconst e1, is_longconst e2 with
+ | Some n1, Some n2 => longconst (sem n1 n2)
+ | _, _ => Eexternal id sig_ll_l (e1 ::: e2 ::: Enil)
+ end.
+
+Definition divl := binop_long hf.(i64_sdiv) Int64.divs.
+Definition modl := binop_long hf.(i64_smod) Int64.mods.
+
+Definition divlu (e1 e2: expr) :=
+ let default := Eexternal hf.(i64_udiv) sig_ll_l (e1 ::: e2 ::: Enil) in
+ match is_longconst e1, is_longconst e2 with
+ | Some n1, Some n2 => longconst (Int64.divu n1 n2)
+ | _, Some n2 =>
+ match Int64.is_power2 n2 with
+ | Some l => shrluimm e1 (Int.repr (Int64.unsigned l))
+ | None => default
+ end
+ | _, _ => default
+ end.
+
+Definition modlu (e1 e2: expr) :=
+ let default := Eexternal hf.(i64_umod) sig_ll_l (e1 ::: e2 ::: Enil) in
+ match is_longconst e1, is_longconst e2 with
+ | Some n1, Some n2 => longconst (Int64.modu n1 n2)
+ | _, Some n2 =>
+ match Int64.is_power2 n2 with
+ | Some l => andl e1 (longconst (Int64.sub n2 Int64.one))
+ | None => default
+ end
+ | _, _ => default
+ end.
+
+Definition cmpl_eq_zero (e: expr) :=
+ splitlong e (fun h l => comp Ceq (or h l) (Eop (Ointconst Int.zero) Enil)).
+
+Definition cmpl_ne_zero (e: expr) :=
+ splitlong e (fun h l => comp Cne (or h l) (Eop (Ointconst Int.zero) Enil)).
+
+Definition cmplu_gen (ch cl: comparison) (e1 e2: expr) :=
+ splitlong2 e1 e2 (fun h1 l1 h2 l2 =>
+ Econdition (CEcond (Ccomp Ceq) (h1:::h2:::Enil))
+ (Eop (Ocmp (Ccompu cl)) (l1:::l2:::Enil))
+ (Eop (Ocmp (Ccompu ch)) (h1:::h2:::Enil))).
+
+Definition cmplu (c: comparison) (e1 e2: expr) :=
+ match c with
+ | Ceq =>
+ if is_longconst_zero e2
+ then cmpl_eq_zero e1
+ else cmpl_eq_zero (xorl e1 e2)
+ | Cne =>
+ if is_longconst_zero e2
+ then cmpl_ne_zero e1
+ else cmpl_ne_zero (xorl e1 e2)
+ | Clt =>
+ cmplu_gen Clt Clt e1 e2
+ | Cle =>
+ cmplu_gen Clt Cle e1 e2
+ | Cgt =>
+ cmplu_gen Cgt Cgt e1 e2
+ | Cge =>
+ cmplu_gen Cgt Cge e1 e2
+ end.
+
+Definition cmpl_gen (ch cl: comparison) (e1 e2: expr) :=
+ splitlong2 e1 e2 (fun h1 l1 h2 l2 =>
+ Econdition (CEcond (Ccomp Ceq) (h1:::h2:::Enil))
+ (Eop (Ocmp (Ccompu cl)) (l1:::l2:::Enil))
+ (Eop (Ocmp (Ccomp ch)) (h1:::h2:::Enil))).
+
+Definition cmpl (c: comparison) (e1 e2: expr) :=
+ match c with
+ | Ceq =>
+ if is_longconst_zero e2
+ then cmpl_eq_zero e1
+ else cmpl_eq_zero (xorl e1 e2)
+ | Cne =>
+ if is_longconst_zero e2
+ then cmpl_ne_zero e1
+ else cmpl_ne_zero (xorl e1 e2)
+ | Clt =>
+ if is_longconst_zero e2
+ then comp Clt (highlong e1) (Eop (Ointconst Int.zero) Enil)
+ else cmpl_gen Clt Clt e1 e2
+ | Cle =>
+ cmpl_gen Clt Cle e1 e2
+ | Cgt =>
+ cmpl_gen Cgt Cgt e1 e2
+ | Cge =>
+ if is_longconst_zero e2
+ then comp Cge (highlong e1) (Eop (Ointconst Int.zero) Enil)
+ else cmpl_gen Cgt Cge e1 e2
+ end.
+
+End SELECT.
+
+(** Setting up the helper functions *)
+
+Require Import Errors.
+
+Local Open Scope string_scope.
+Local Open Scope error_monad_scope.
+
+Parameter get_helper: Cminor.genv -> String.string -> signature -> res ident.
+Parameter get_builtin: String.string -> signature -> res ident.
+
+Definition get_helpers (ge: Cminor.genv): res helper_functions :=
+ do i64_dtos <- get_helper ge "__i64_dtos" sig_f_l ;
+ do i64_dtou <- get_helper ge "__i64_dtou" sig_f_l ;
+ do i64_stod <- get_helper ge "__i64_stod" sig_l_f ;
+ do i64_utod <- get_helper ge "__i64_utod" sig_l_f ;
+ do i64_stof <- get_helper ge "__i64_stof" sig_l_s ;
+ do i64_utof <- get_helper ge "__i64_utof" sig_l_s ;
+ do i64_neg <- get_builtin "__builtin_negl" sig_l_l ;
+ do i64_add <- get_builtin "__builtin_addl" sig_ll_l ;
+ do i64_sub <- get_builtin "__builtin_subl" sig_ll_l ;
+ do i64_mul <- get_builtin "__builtin_mull" sig_ll_l ;
+ do i64_sdiv <- get_helper ge "__i64_sdiv" sig_ll_l ;
+ do i64_udiv <- get_helper ge "__i64_udiv" sig_ll_l ;
+ do i64_smod <- get_helper ge "__i64_smod" sig_ll_l ;
+ do i64_umod <- get_helper ge "__i64_umod" sig_ll_l ;
+ do i64_shl <- get_helper ge "__i64_shl" sig_li_l ;
+ do i64_shr <- get_helper ge "__i64_shr" sig_li_l ;
+ do i64_sar <- get_helper ge "__i64_sar" sig_li_l ;
+ OK (mk_helper_functions
+ i64_dtos i64_dtou i64_stod i64_utod i64_stof i64_utof
+ i64_neg i64_add i64_sub i64_mul i64_sdiv i64_udiv i64_smod i64_umod
+ i64_shl i64_shr i64_sar).