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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.
-