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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. *)
(* *)
(* *************************************************************)
(** Strength reduction for operators and conditions.
This is the machine-dependent part of [Constprop]. *)
Require Archi.
Require Import Coqlib Compopts.
Require Import AST Integers Floats.
Require Import Op Registers.
Require Import ValueDomain.
(** * Converting known values to constants *)
Definition const_for_result (a: aval) : option operation :=
match a with
| I n => Some(Ointconst n)
| L n => if Archi.ptr64 then Some(Olongconst n) else None
| F n => if Compopts.generate_float_constants tt then Some(Ofloatconst n) else None
| FS n => if Compopts.generate_float_constants tt then Some(Osingleconst n) else None
| Ptr(Gl id ofs) => Some(Oaddrsymbol id ofs)
| Ptr(Stk ofs) => Some(Oaddrstack ofs)
| _ => None
end.
(** * 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)
| Ccompl c, r1 :: r2 :: nil, L n1 :: v2 :: nil =>
(Ccomplimm (swap_comparison c) n1, r2 :: nil)
| Ccompl c, r1 :: r2 :: nil, v1 :: L n2 :: nil =>
(Ccomplimm c n2, r1 :: nil)
| Ccomplu c, r1 :: r2 :: nil, L n1 :: v2 :: nil =>
(Ccompluimm (swap_comparison c) n1, r2 :: nil)
| Ccomplu c, r1 :: r2 :: nil, v1 :: L n2 :: nil =>
(Ccompluimm 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').
Definition make_cmp_imm_eq (c: condition) (args: list reg) (vl: list aval)
(n: int) (r1: reg) (v1: aval) :=
if Int.eq_dec n Int.one && vincl v1 (Uns Ptop 1) then (Omove, r1 :: nil)
else if Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1) then (Oxorimm Int.one, r1 :: nil)
else make_cmp_base c args vl.
Definition make_cmp_imm_ne (c: condition) (args: list reg) (vl: list aval)
(n: int) (r1: reg) (v1: aval) :=
if Int.eq_dec n Int.zero && vincl v1 (Uns Ptop 1) then (Omove, r1 :: nil)
else if Int.eq_dec n Int.one && vincl v1 (Uns Ptop 1) then (Oxorimm Int.one, r1 :: nil)
else make_cmp_base c args vl.
Nondetfunction make_cmp (c: condition) (args: list reg) (vl: list aval) :=
match c, args, vl with
| Ccompimm Ceq n, r1 :: nil, v1 :: nil =>
make_cmp_imm_eq c args vl n r1 v1
| Ccompimm Cne n, r1 :: nil, v1 :: nil =>
make_cmp_imm_ne c args vl n r1 v1
| Ccompuimm Ceq n, r1 :: nil, v1 :: nil =>
make_cmp_imm_eq c args vl n r1 v1
| Ccompuimm Cne n, r1 :: nil, v1 :: nil =>
make_cmp_imm_ne c args vl n r1 v1
| _, _, _ =>
make_cmp_base c args vl
end.
Definition make_addimm (n: int) (r: reg) :=
if Int.eq n Int.zero
then (Omove, r :: nil)
else (Oaddimm 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) (r1 r2: reg) :=
if Int.eq n Int.zero then
(Ointconst Int.zero, nil)
else if Int.eq n Int.one then
(Omove, r1 :: nil)
else
match Int.is_power2 n with
| Some l => (Oshlimm l, r1 :: nil)
| None => (Omul, r1 :: r2 :: 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 (Oxorimm n, r :: nil).
Definition make_divimm n (r1 r2: reg) :=
if Int.eq n Int.one then
(Omove, r1 :: nil)
else
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) :=
if Int.eq n Int.one then
(Omove, r1 :: nil)
else
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_addlimm (n: int64) (r: reg) :=
if Int64.eq n Int64.zero
then (Omove, r :: nil)
else (Oaddlimm n, r :: nil).
Definition make_shllimm (n: int) (r1 r2: reg) :=
if Int.eq n Int.zero then (Omove, r1 :: nil)
else if Int.ltu n Int64.iwordsize' then (Oshllimm n, r1 :: nil)
else (Oshll, r1 :: r2 :: nil).
Definition make_shrlimm (n: int) (r1 r2: reg) :=
if Int.eq n Int.zero then (Omove, r1 :: nil)
else if Int.ltu n Int64.iwordsize' then (Oshrlimm n, r1 :: nil)
else (Oshrl, r1 :: r2 :: nil).
Definition make_shrluimm (n: int) (r1 r2: reg) :=
if Int.eq n Int.zero then (Omove, r1 :: nil)
else if Int.ltu n Int64.iwordsize' then (Oshrluimm n, r1 :: nil)
else (Oshrlu, r1 :: r2 :: nil).
Definition make_mullimm (n: int64) (r1 r2: reg) :=
if Int64.eq n Int64.zero then
(Olongconst Int64.zero, nil)
else if Int64.eq n Int64.one then
(Omove, r1 :: nil)
else
match Int64.is_power2' n with
| Some l => (Oshllimm l, r1 :: nil)
| None => (Omull, r1 :: r2 :: nil)
end.
Definition make_andlimm (n: int64) (r: reg) (a: aval) :=
if Int64.eq n Int64.zero then (Olongconst Int64.zero, nil)
else if Int64.eq n Int64.mone then (Omove, r :: nil)
else (Oandlimm n, r :: nil).
Definition make_orlimm (n: int64) (r: reg) :=
if Int64.eq n Int64.zero then (Omove, r :: nil)
else if Int64.eq n Int64.mone then (Olongconst Int64.mone, nil)
else (Oorlimm n, r :: nil).
Definition make_xorlimm (n: int64) (r: reg) :=
if Int64.eq n Int64.zero then (Omove, r :: nil)
else (Oxorlimm n, r :: nil).
Definition make_divlimm n (r1 r2: reg) :=
match Int64.is_power2' n with
| Some l => if Int.ltu l (Int.repr 63)
then (Oshrxlimm l, r1 :: nil)
else (Odivl, r1 :: r2 :: nil)
| None => (Odivl, r1 :: r2 :: nil)
end.
Definition make_divluimm n (r1 r2: reg) :=
match Int64.is_power2' n with
| Some l => (Oshrluimm l, r1 :: nil)
| None => (Odivlu, r1 :: r2 :: nil)
end.
Definition make_modluimm n (r1 r2: reg) :=
match Int64.is_power2 n with
| Some l => (Oandlimm (Int64.sub n Int64.one), r1 :: nil)
| None => (Omodlu, 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 Ptop 8) then (Omove, r :: nil) else (Ocast8signed, r :: nil).
Definition make_cast16signed (r: reg) (a: aval) :=
if vincl a (Sgn Ptop 16) then (Omove, r :: nil) else (Ocast16signed, 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
| Ocast16signed, r1 :: nil, v1 :: nil => make_cast16signed r1 v1
| Oadd, r1 :: r2 :: nil, I n1 :: v2 :: nil => make_addimm n1 r2
| Oadd, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_addimm n2 r1
| 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 r1
| Omul, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_mulimm n2 r1 r2
| 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
| Oaddl, r1 :: r2 :: nil, L n1 :: v2 :: nil => make_addlimm n1 r2
| Oaddl, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_addlimm n2 r1
| Osubl, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_addlimm (Int64.neg n2) r1
| Omull, r1 :: r2 :: nil, L n1 :: v2 :: nil => make_mullimm n1 r2 r1
| Omull, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_mullimm n2 r1 r2
| Odivl, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_divlimm n2 r1 r2
| Odivlu, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_divluimm n2 r1 r2
| Omodlu, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_modluimm n2 r1 r2
| Oandl, r1 :: r2 :: nil, L n1 :: v2 :: nil => make_andlimm n1 r2 v2
| Oandl, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_andlimm n2 r1 v1
| Oandlimm n, r1 :: nil, v1 :: nil => make_andlimm n r1 v1
| Oorl, r1 :: r2 :: nil, L n1 :: v2 :: nil => make_orlimm n1 r2
| Oorl, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_orlimm n2 r1
| Oxorl, r1 :: r2 :: nil, L n1 :: v2 :: nil => make_xorlimm n1 r2
| Oxorl, r1 :: r2 :: nil, v1 :: L n2 :: nil => make_xorlimm n2 r1
| Oshll, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_shllimm n2 r1 r2
| Oshrl, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_shrlimm n2 r1 r2
| Oshrlu, r1 :: r2 :: nil, v1 :: I n2 :: nil => make_shrluimm n2 r1 r2
| 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.
Nondetfunction addr_strength_reduction
(addr: addressing) (args: list reg) (vl: list aval) :=
match addr, args, vl with
| Aindexed n, r1 :: nil, Ptr(Gl symb n1) :: nil =>
if (orb (Archi.pic_code tt) (negb (Compopts.optim_globaladdrtmp tt)))
then (addr, args)
else (Aglobal symb (Ptrofs.add n1 n), nil)
| Aindexed n, r1 :: nil, Ptr(Stk n1) :: nil =>
(Ainstack (Ptrofs.add n1 n), nil)
| _, _, _ =>
(addr, args)
end.
|
