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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. *)
(* *)
(* *********************************************************************)
(** Strength reduction for operators and conditions.
This is the machine-dependent part of [Constprop]. *)
Require Import Coqlib.
Require Import Compopts.
Require Import AST.
Require Import Integers.
Require Import Floats.
Require Import Op.
Require Import Registers.
Require Import ValueDomain.
(** * Operator strength reduction *)
(** We now define auxiliary functions for strength reduction of
operators and addressing modes: replacing an operator with a cheaper
one if some of its arguments are statically known. These are again
large pattern-matchings expressed in indirect style. *)
Nondetfunction cond_strength_reduction
(cond: condition) (args: list reg) (vl: list aval) :=
match cond, args, vl with
| Ccomp c, r1 :: r2 :: nil, I n1 :: v2 :: nil =>
(Ccompimm (swap_comparison c) n1, r2 :: nil)
| Ccomp c, r1 :: r2 :: nil, v1 :: I n2 :: nil =>
(Ccompimm c n2, r1 :: nil)
| Ccompu c, r1 :: r2 :: nil, I n1 :: v2 :: nil =>
(Ccompuimm (swap_comparison c) n1, r2 :: nil)
| Ccompu c, r1 :: r2 :: nil, v1 :: I n2 :: nil =>
(Ccompuimm c n2, r1 :: nil)
| _, _, _ =>
(cond, args)
end.
Definition make_cmp_base (c: condition) (args: list reg) (vl: list aval) :=
let (c', args') := cond_strength_reduction c args vl in (Ocmp c', args').
Nondetfunction make_cmp (c: condition) (args: list reg) (vl: list aval) :=
match c, args, vl with
| Ccompimm Ceq n, r1 :: nil, v1 :: nil =>
if Int.eq_dec n Int.one && vincl v1 (Uns 1) then (Omove, r1 :: nil)
else if Int.eq_dec n Int.zero && vincl v1 (Uns 1) then (Oxorimm Int.one, r1 :: nil)
else make_cmp_base c args vl
| Ccompimm Cne n, r1 :: nil, v1 :: nil =>
if Int.eq_dec n Int.zero && vincl v1 (Uns 1) then (Omove, r1 :: nil)
else if Int.eq_dec n Int.one && vincl v1 (Uns 1) then (Oxorimm Int.one, r1 :: nil)
else make_cmp_base c args vl
| _, _, _ =>
make_cmp_base c args vl
end.
Nondetfunction addr_strength_reduction
(addr: addressing) (args: list reg) (vl: list aval) :=
match addr, args, vl with
| Aindexed ofs, r1 :: nil, Ptr(Gl symb n) :: nil =>
(Aglobal symb (Int.add n ofs), nil)
| Aindexed ofs, r1 :: nil, Ptr(Stk n) :: nil =>
(Ainstack (Int.add n ofs), nil)
| Aindexed2 ofs, r1 :: r2 :: nil, Ptr(Gl symb n1) :: I n2 :: nil =>
(Aglobal symb (Int.add (Int.add n1 n2) ofs), nil)
| Aindexed2 ofs, r1 :: r2 :: nil, I n1 :: Ptr(Gl symb n2) :: nil =>
(Aglobal symb (Int.add (Int.add n1 n2) ofs), nil)
| Aindexed2 ofs, r1 :: r2 :: nil, Ptr(Stk n1) :: I n2 :: nil =>
(Ainstack (Int.add (Int.add n1 n2) ofs), nil)
| Aindexed2 ofs, r1 :: r2 :: nil, I n1 :: Ptr(Stk n2) :: nil =>
(Ainstack (Int.add (Int.add n1 n2) ofs), nil)
| Aindexed2 ofs, r1 :: r2 :: nil, Ptr(Gl symb n1) :: v2 :: nil =>
(Abased symb (Int.add n1 ofs), r2 :: nil)
| Aindexed2 ofs, r1 :: r2 :: nil, v1 :: Ptr(Gl symb n2) :: nil =>
(Abased symb (Int.add n2 ofs), r1 :: nil)
| Aindexed2 ofs, r1 :: r2 :: nil, I n1 :: v2 :: nil =>
(Aindexed (Int.add n1 ofs), r2 :: nil)
| Aindexed2 ofs, r1 :: r2 :: nil, v1 :: I n2 :: nil =>
(Aindexed (Int.add n2 ofs), r1 :: nil)
| Aindexed2scaled sc ofs, r1 :: r2 :: nil, Ptr(Gl symb n1) :: I n2 :: nil =>
(Aglobal symb (Int.add (Int.add n1 (Int.mul n2 sc)) ofs), nil)
| Aindexed2scaled sc ofs, r1 :: r2 :: nil, Ptr(Gl symb n1) :: v2 :: nil =>
(Abasedscaled sc symb (Int.add n1 ofs), r2 :: nil)
| Aindexed2scaled sc ofs, r1 :: r2 :: nil, v1 :: I n2 :: nil =>
(Aindexed (Int.add (Int.mul n2 sc) ofs), r1 :: nil)
| Abased id ofs, r1 :: nil, I n1 :: nil =>
(Aglobal id (Int.add ofs n1), nil)
| Abasedscaled sc id ofs, r1 :: nil, I n1 :: nil =>
(Aglobal id (Int.add ofs (Int.mul sc n1)), nil)
| _, _ =>
(addr, args)
end.
Definition make_addimm (n: int) (r: reg) :=
if Int.eq n Int.zero
then (Omove, r :: nil)
else (Olea (Aindexed n), r :: nil).
Definition make_shlimm (n: int) (r1 r2: reg) :=
if Int.eq n Int.zero then (Omove, r1 :: nil)
else if Int.ltu n Int.iwordsize then (Oshlimm n, r1 :: nil)
else (Oshl, r1 :: r2 :: nil).
Definition make_shrimm (n: int) (r1 r2: reg) :=
if Int.eq n Int.zero then (Omove, r1 :: nil)
else if Int.ltu n Int.iwordsize then (Oshrimm n, r1 :: nil)
else (Oshr, r1 :: r2 :: nil).
Definition make_shruimm (n: int) (r1 r2: reg) :=
if Int.eq n Int.zero then (Omove, r1 :: nil)
else if Int.ltu n Int.iwordsize then (Oshruimm n, r1 :: nil)
else (Oshru, r1 :: r2 :: nil).
Definition make_mulimm (n: int) (r: reg) :=
if Int.eq n Int.zero then
(Ointconst Int.zero, nil)
else if Int.eq n Int.one then
(Omove, r :: nil)
else
match Int.is_power2 n with
| Some l => (Oshlimm l, r :: nil)
| None => (Omulimm n, r :: nil)
end.
Definition make_andimm (n: int) (r: reg) (a: aval) :=
if Int.eq n Int.zero then (Ointconst Int.zero, nil)
else if Int.eq n Int.mone then (Omove, r :: nil)
else if match a with Uns m => Int.eq (Int.zero_ext m (Int.not n)) Int.zero
| _ => false end
then (Omove, r :: nil)
else (Oandimm n, r :: nil).
Definition make_orimm (n: int) (r: reg) :=
if Int.eq n Int.zero then (Omove, r :: nil)
else if Int.eq n Int.mone then (Ointconst Int.mone, nil)
else (Oorimm n, r :: nil).
Definition make_xorimm (n: int) (r: reg) :=
if Int.eq n Int.zero then (Omove, r :: nil)
else if Int.eq n Int.mone then (Onot, r :: nil)
else (Oxorimm n, r :: nil).
Definition make_divimm n (r1 r2: reg) :=
match Int.is_power2 n with
| Some l => if Int.ltu l (Int.repr 31)
then (Oshrximm l, r1 :: nil)
else (Odiv, r1 :: r2 :: nil)
| None => (Odiv, r1 :: r2 :: nil)
end.
Definition make_divuimm n (r1 r2: reg) :=
match Int.is_power2 n with
| Some l => (Oshruimm l, r1 :: nil)
| None => (Odivu, r1 :: r2 :: nil)
end.
Definition make_moduimm n (r1 r2: reg) :=
match Int.is_power2 n with
| Some l => (Oandimm (Int.sub n Int.one), r1 :: nil)
| None => (Omodu, r1 :: r2 :: nil)
end.
Definition make_mulfimm (n: float) (r r1 r2: reg) :=
if Float.eq_dec n (Float.of_int (Int.repr 2))
then (Oaddf, r :: r :: nil)
else (Omulf, r1 :: r2 :: nil).
Definition make_mulfsimm (n: float32) (r r1 r2: reg) :=
if Float32.eq_dec n (Float32.of_int (Int.repr 2))
then (Oaddfs, r :: r :: nil)
else (Omulfs, r1 :: r2 :: nil).
Definition make_cast8signed (r: reg) (a: aval) :=
if vincl a (Sgn 8) then (Omove, r :: nil) else (Ocast8signed, r :: nil).
Definition make_cast8unsigned (r: reg) (a: aval) :=
if vincl a (Uns 8) then (Omove, r :: nil) else (Ocast8unsigned, r :: nil).
Definition make_cast16signed (r: reg) (a: aval) :=
if vincl a (Sgn 16) then (Omove, r :: nil) else (Ocast16signed, r :: nil).
Definition make_cast16unsigned (r: reg) (a: aval) :=
if vincl a (Uns 16) then (Omove, r :: nil) else (Ocast16unsigned, r :: nil).
Nondetfunction op_strength_reduction
(op: operation) (args: list reg) (vl: list aval) :=
match op, args, vl with
| Ocast8signed, r1 :: nil, v1 :: nil => make_cast8signed r1 v1
| Ocast8unsigned, r1 :: nil, v1 :: nil => make_cast8unsigned r1 v1
| Ocast16signed, r1 :: nil, v1 :: nil => make_cast16signed r1 v1
| Ocast16unsigned, r1 :: nil, v1 :: nil => make_cast16unsigned r1 v1
| Osub, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_addimm (Int.neg n2) r1
| Omul, r1 :: r2 :: nil, I n1 :: v2 :: nil => make_mulimm n1 r2
| Omul, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_mulimm n2 r1
| Odiv, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_divimm n2 r1 r2
| Odivu, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_divuimm n2 r1 r2
| Omodu, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_moduimm n2 r1 r2
| Oand, r1 :: r2 :: nil, I n1 :: v2 :: nil => make_andimm n1 r2 v2
| Oand, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_andimm n2 r1 v1
| Oandimm n, r1 :: nil, v1 :: nil => make_andimm n r1 v1
| Oor, r1 :: r2 :: nil, I n1 :: v2 :: nil => make_orimm n1 r2
| Oor, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_orimm n2 r1
| Oxor, r1 :: r2 :: nil, I n1 :: v2 :: nil => make_xorimm n1 r2
| Oxor, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_xorimm n2 r1
| Oshl, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_shlimm n2 r1 r2
| Oshr, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_shrimm n2 r1 r2
| Oshru, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_shruimm n2 r1 r2
| Olea addr, args, vl =>
let (addr', args') := addr_strength_reduction addr args vl in
(Olea addr', args')
| Ocmp c, args, vl => make_cmp c args vl
| Omulf, r1 :: r2 :: nil, v1 :: F n2 :: nil => make_mulfimm n2 r1 r1 r2
| Omulf, r1 :: r2 :: nil, F n1 :: v2 :: nil => make_mulfimm n1 r2 r1 r2
| Omulfs, r1 :: r2 :: nil, v1 :: FS n2 :: nil => make_mulfsimm n2 r1 r1 r2
| Omulfs, r1 :: r2 :: nil, FS n1 :: v2 :: nil => make_mulfsimm n1 r2 r1 r2
| _, _, _ => (op, args)
end.
|
