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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 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
- | Ccompimm Cne n, r1 :: nil, v1 :: nil =>
- 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
- | _, _, _ =>
- 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 Ptop 8) then (Omove, r :: nil) else (Ocast8signed, r :: nil).
-Definition make_cast8unsigned (r: reg) (a: aval) :=
- if vincl a (Uns Ptop 8) then (Omove, r :: nil) else (Ocast8unsigned, r :: nil).
-Definition make_cast16signed (r: reg) (a: aval) :=
- if vincl a (Sgn Ptop 16) then (Omove, r :: nil) else (Ocast16signed, r :: nil).
-Definition make_cast16unsigned (r: reg) (a: aval) :=
- if vincl a (Uns Ptop 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.