Library compcert.backend.Selection


Instruction selection
The instruction selection pass recognizes opportunities for using combined arithmetic and logical operations and addressing modes offered by the target processor. For instance, the expression x + 1 can take advantage of the "immediate add" instruction of the processor, and on the PowerPC, the expression (x >> 6) & 0xFF can be turned into a "rotate and mask" instruction.
Instruction selection proceeds by bottom-up rewriting over expressions. The source language is Cminor and the target language is CminorSel.

Require Import Coqlib.
Require Import AST.
Require Import Errors.
Require Import Integers.
Require Import Globalenvs.
Require Cminor.
Require Import Op.
Require Import CminorSel.
Require Import SelectOp.
Require Import SelectDiv.
Require Import SelectLong.

Open Local Scope cminorsel_scope.

Conversion of conditions

Function condexpr_of_expr (e: expr) : condexpr :=
  match e with
  | Eop (Ocmp c) el => CEcond c el
  | Econdition a b c => CEcondition a (condexpr_of_expr b) (condexpr_of_expr c)
  | Elet a b => CElet a (condexpr_of_expr b)
  | _ => CEcond (Ccompuimm Cne Int.zero) (e ::: Enil)
  end.

Conversion of loads and stores

Definition load (chunk: memory_chunk) (e1: expr) :=
  match addressing chunk e1 with
  | (mode, args) => Eload chunk mode args
  end.

Definition store (chunk: memory_chunk) (e1 e2: expr) :=
  match addressing chunk e1 with
  | (mode, args) => Sstore chunk mode args e2
  end.

Instruction selection for operator applications. Most of the work is done by the processor-specific smart constructors defined in modules SelectOp and SelectLong.

Section SELECTION.

Variable hf: helper_functions.

Definition sel_constant (cst: Cminor.constant) : expr :=
  match cst with
  | Cminor.Ointconst n => Eop (Ointconst n) Enil
  | Cminor.Ofloatconst f => Eop (Ofloatconst f) Enil
  | Cminor.Olongconst n => longconst n
  | Cminor.Oaddrsymbol id ofs => addrsymbol id ofs
  | Cminor.Oaddrstack ofs => addrstack ofs
  end.

Definition sel_unop (op: Cminor.unary_operation) (arg: expr) : expr :=
  match op with
  | Cminor.Ocast8unsigned => cast8unsigned arg
  | Cminor.Ocast8signed => cast8signed arg
  | Cminor.Ocast16unsigned => cast16unsigned arg
  | Cminor.Ocast16signed => cast16signed arg
  | Cminor.Onegint => negint arg
  | Cminor.Onotint => notint arg
  | Cminor.Onegf => negf arg
  | Cminor.Oabsf => absf arg
  | Cminor.Osingleoffloat => singleoffloat arg
  | Cminor.Ointoffloat => intoffloat arg
  | Cminor.Ointuoffloat => intuoffloat arg
  | Cminor.Ofloatofint => floatofint arg
  | Cminor.Ofloatofintu => floatofintu arg
  | Cminor.Onegl => negl hf arg
  | Cminor.Onotl => notl arg
  | Cminor.Ointoflong => intoflong arg
  | Cminor.Olongofint => longofint arg
  | Cminor.Olongofintu => longofintu arg
  | Cminor.Olongoffloat => longoffloat hf arg
  | Cminor.Olonguoffloat => longuoffloat hf arg
  | Cminor.Ofloatoflong => floatoflong hf arg
  | Cminor.Ofloatoflongu => floatoflongu hf arg
  | Cminor.Osingleoflong => singleoflong hf arg
  | Cminor.Osingleoflongu => singleoflongu hf arg
  end.

Definition sel_binop (op: Cminor.binary_operation) (arg1 arg2: expr) : expr :=
  match op with
  | Cminor.Oadd => add arg1 arg2
  | Cminor.Osub => sub arg1 arg2
  | Cminor.Omul => mul arg1 arg2
  | Cminor.Odiv => divs arg1 arg2
  | Cminor.Odivu => divu arg1 arg2
  | Cminor.Omod => mods arg1 arg2
  | Cminor.Omodu => modu arg1 arg2
  | Cminor.Oand => and arg1 arg2
  | Cminor.Oor => or arg1 arg2
  | Cminor.Oxor => xor arg1 arg2
  | Cminor.Oshl => shl arg1 arg2
  | Cminor.Oshr => shr arg1 arg2
  | Cminor.Oshru => shru arg1 arg2
  | Cminor.Oaddf => addf arg1 arg2
  | Cminor.Osubf => subf arg1 arg2
  | Cminor.Omulf => mulf arg1 arg2
  | Cminor.Odivf => divf arg1 arg2
  | Cminor.Oaddl => addl hf arg1 arg2
  | Cminor.Osubl => subl hf arg1 arg2
  | Cminor.Omull => mull hf arg1 arg2
  | Cminor.Odivl => divl hf arg1 arg2
  | Cminor.Odivlu => divlu hf arg1 arg2
  | Cminor.Omodl => modl hf arg1 arg2
  | Cminor.Omodlu => modlu hf arg1 arg2
  | Cminor.Oandl => andl arg1 arg2
  | Cminor.Oorl => orl arg1 arg2
  | Cminor.Oxorl => xorl arg1 arg2
  | Cminor.Oshll => shll hf arg1 arg2
  | Cminor.Oshrl => shrl hf arg1 arg2
  | Cminor.Oshrlu => shrlu hf arg1 arg2
  | Cminor.Ocmp c => comp c arg1 arg2
  | Cminor.Ocmpu c => compu c arg1 arg2
  | Cminor.Ocmpf c => compf c arg1 arg2
  | Cminor.Ocmpl c => cmpl c arg1 arg2
  | Cminor.Ocmplu c => cmplu c arg1 arg2
  end.

Conversion from Cminor expression to Cminorsel expressions

Fixpoint sel_expr (a: Cminor.expr) : expr :=
  match a with
  | Cminor.Evar id => Evar id
  | Cminor.Econst cst => sel_constant cst
  | Cminor.Eunop op arg => sel_unop op (sel_expr arg)
  | Cminor.Ebinop op arg1 arg2 => sel_binop op (sel_expr arg1) (sel_expr arg2)
  | Cminor.Eload chunk addr => load chunk (sel_expr addr)
  end.

Fixpoint sel_exprlist (al: list Cminor.expr) : exprlist :=
  match al with
  | nil => Enil
  | a :: bl => Econs (sel_expr a) (sel_exprlist bl)
  end.

Recognition of immediate calls and calls to built-in functions that should be inlined

Inductive call_kind : Type :=
  | Call_default
  | Call_imm (id: ident)
  | Call_builtin (ef: external_function).

Definition expr_is_addrof_ident (e: Cminor.expr) : option ident :=
  match e with
  | Cminor.Econst (Cminor.Oaddrsymbol id ofs) =>
      if Int.eq ofs Int.zero then Some id else None
  | _ => None
  end.

Variable (find_funct: ident -> option Cminor.fundef).

Definition classify_call (e: Cminor.expr) : call_kind :=
  match expr_is_addrof_ident e with
  | None => Call_default
  | Some id =>
      match find_funct id with
        | Some(External ef) => if ef_inline ef then Call_builtin ef else Call_imm id
        | _ => Call_imm id
      end
  end.

Conversion from Cminor statements to Cminorsel statements.

Fixpoint sel_stmt (s: Cminor.stmt) : stmt :=
  match s with
  | Cminor.Sskip => Sskip
  | Cminor.Sassign id e => Sassign id (sel_expr e)
  | Cminor.Sstore chunk addr rhs => store chunk (sel_expr addr) (sel_expr rhs)
  | Cminor.Scall optid sg fn args =>
      match classify_call fn with
      | Call_default => Scall optid sg (inl _ (sel_expr fn)) (sel_exprlist args)
      | Call_imm id => Scall optid sg (inr _ id) (sel_exprlist args)
      | Call_builtin ef => Sbuiltin optid ef (sel_exprlist args)
      end
  | Cminor.Sbuiltin optid ef args =>
      Sbuiltin optid ef (sel_exprlist args)
  | Cminor.Stailcall sg fn args =>
      match classify_call fn with
      | Call_imm id => Stailcall sg (inr _ id) (sel_exprlist args)
      | _ => Stailcall sg (inl _ (sel_expr fn)) (sel_exprlist args)
      end
  | Cminor.Sseq s1 s2 => Sseq (sel_stmt s1) (sel_stmt s2)
  | Cminor.Sifthenelse e ifso ifnot =>
      Sifthenelse (condexpr_of_expr (sel_expr e))
                  (sel_stmt ifso) (sel_stmt ifnot)
  | Cminor.Sloop body => Sloop (sel_stmt body)
  | Cminor.Sblock body => Sblock (sel_stmt body)
  | Cminor.Sexit n => Sexit n
  | Cminor.Sswitch e cases dfl => Sswitch (sel_expr e) cases dfl
  | Cminor.Sreturn None => Sreturn None
  | Cminor.Sreturn (Some e) => Sreturn (Some (sel_expr e))
  | Cminor.Slabel lbl body => Slabel lbl (sel_stmt body)
  | Cminor.Sgoto lbl => Sgoto lbl
  end.

End SELECTION.

Conversion of functions.
Conversion of programs.

Definition find_funct (ge: Cminor.genv) (i: ident) : option Cminor.fundef :=
  match Genv.find_symbol ge i with
    | None => None
    | Some b => Genv.find_funct_ptr ge b
  end.

Local Open Scope error_monad_scope.

Definition sel_program {i64h: I64helpers} (p: Cminor.program) : res program :=
  let ge := Genv.globalenv p in
  do hf <- get_helpers ge; OK (transform_program (sel_fundef (find_funct ge) hf) p).