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(* cells-basis.sml
*
* COPYRIGHT (c) 2019 The Fellowship of SML/NJ (http://www.smlnj.org)
* All rights reserved.
*
* Description of cell and other updatable cells.
*
* -- Allen.
*)
structure CellsBasis : CELLS_BASIS =
struct
datatype cellkindInfo = INFO of {name:string, nickname:string}
type sz = int (* width in bits *)
type cell_id = int (* unique cell identifier *)
type register_id = int (* encoding of phsyical registers *)
type register_num = int
(* Cellkind denote the types of storage cells.
* This definition is further augumented by architecture specific
* cells descriptions. Type cellkind is an equality type.
*)
datatype cellkind =
GP (* general purpose register *)
| FP (* floating point register *)
| CC (* condition code register *)
| MEM (* memory *)
| CTRL (* control dependence *)
| MISC_KIND of cellkindInfo ref (* client defined *)
(* This data structure is automatically generated by MDGen to
* describe a cellkind.
*)
datatype cellkindDesc =
DESC of
{kind : cellkind,
counter : int ref,
dedicated : int ref,
(* It is sometimes desirable to allocate dedicated
* pseudo registers that will get rewritten to something else,
* e.g., the virtual frame pointer.
* Since these registers are never assigned a register by
* the register allocator, a limited number of these kinds
* of registers may be generated.
*)
low : int,
high : int,
toString : register_id -> string,
toStringWithSize : register_id * sz -> string,
defaultValues : (register_id * int) list,
physicalRegs : cell Array.array ref,
zeroReg : register_id option
}
and cell =
CELL of {id : cell_id,
col : cellColor ref,
desc : cellkindDesc,
an : Annotations.annotations ref
}
and cellColor =
MACHINE of register_id
| PSEUDO
| ALIASED of cell
| SPILLED
val array0 = Array.tabulate(0, fn _ => raise Match) : cell Array.array
fun error msg = MLRiscErrorMsg.error ("CellBasis", msg)
val i2s = Int.toString
fun cellkindToString GP = "GP"
| cellkindToString FP = "FP"
| cellkindToString CC = "CC"
| cellkindToString MEM = "MEM"
| cellkindToString CTRL = "CTRL"
| cellkindToString (MISC_KIND(ref(INFO{name, ...}))) = name
fun cellkindToNickname GP = "r"
| cellkindToNickname FP = "f"
| cellkindToNickname CC = "cc"
| cellkindToNickname MEM = "m"
| cellkindToNickname CTRL = "ctrl"
| cellkindToNickname (MISC_KIND(ref(INFO{nickname, ...}))) = nickname
fun newCellKind{name="GP", ...} = GP
| newCellKind{name="FP", ...} = FP
| newCellKind{name="CC", ...} = CC
| newCellKind{name="MEM", ...} = MEM
| newCellKind{name="CTRL", ...} = CTRL
| newCellKind{name, nickname} =
MISC_KIND(ref(INFO{name=name, nickname=nickname}))
fun chase(CELL{col=ref(ALIASED c), ...}) = chase(c)
| chase c = c
fun registerId(CELL{col=ref(ALIASED c), ...}) = registerId(c)
| registerId(CELL{col=ref(MACHINE r), ...}) = r
| registerId(CELL{col=ref(SPILLED), ...}) = ~1
| registerId(CELL{col=ref(PSEUDO), id, ...}) = id
fun registerNum(CELL{col=ref(ALIASED c), ...}) = registerNum(c)
| registerNum(CELL{col=ref(MACHINE r), desc=DESC{low,...}, ...}) = r-low
| registerNum(CELL{col=ref SPILLED, id, ...}) = ~1
| registerNum(CELL{col=ref PSEUDO, id, ...}) = id
fun physicalRegisterNum(CELL{col=ref(ALIASED c), ...}) =
physicalRegisterNum(c)
| physicalRegisterNum(CELL{col=ref(MACHINE r),
desc=DESC{low,...}, ...}) = r-low
| physicalRegisterNum(CELL{col=ref SPILLED, id, ...}) =
error("physicalRegisterNum: SPILLED: "^i2s id)
| physicalRegisterNum(CELL{col=ref PSEUDO, id, ...}) =
error("physicalRegisterNum: PSEUDO: "^i2s id)
fun cellId(CELL{id, ...}) = id
fun hashCell(CELL{id, ...}) = Word.fromInt id
fun hashColor c = Word.fromInt(registerId c)
fun desc(CELL{desc, ...}) = desc
fun sameCell(c1, c2) = cellId(c1) = cellId(c2)
fun sameDesc(DESC{counter=x, ...}, DESC{counter=y, ...}) = x=y
fun sameKind(c1, c2) = sameDesc(desc c1,desc c2)
fun sameAliasedCell(c1, c2) = sameCell(chase c1, chase c2)
fun sameColor(c1, c2) = registerId c1 = registerId c2
fun compareColor(c1, c2) = Int.compare(registerId c1, registerId c2)
fun cellkind(CELL{desc=DESC{kind, ...}, ...}) = kind
fun annotations(CELL{an, ...}) = an
fun setAlias{from, to} =
let val CELL{id, col, desc=DESC{kind, ...}, ...} = chase from
val to as CELL{col=colTo, ...} = chase to
in if col = colTo then () (* prevent self-loops *)
else if id < 0 then error "setAlias: constant"
else case (!col, kind)
of (PSEUDO, _) => col := ALIASED to
| _ => error "setAlias: non-pseudo"
end
fun isConst(CELL{id, ...}) = id < 0
(* Pretty printing of cells *)
fun toString(CELL{col=ref(ALIASED c), ...}) = toString(c)
| toString(c as CELL{desc=DESC{toString, ...}, ...}) =
toString(registerNum c)
fun toStringWithSize(c as CELL{desc=DESC{toStringWithSize,...},...},sz) =
toStringWithSize(registerNum c,sz)
fun cnv(r, low, high) = if low <= r andalso r <= high then r - low else r
fun show(DESC{toString, low, high, ...}) r = toString(cnv(r,low,high))
fun showWithSize(DESC{toStringWithSize, low, high, ...}) (r, sz) =
toStringWithSize(cnv(r,low,high),sz)
structure SortedCells = struct
type sorted_cells = cell list
val empty = []
val size = List.length
fun enter(cell, l) = let
val c = registerId cell
fun f [] = [cell]
| f (l as (h::t)) =
let val ch = registerId h
in if c < ch then cell::l else if c > ch then h::f t else l
end
in f l
end
fun member(x, l) =
let val x = registerId x
in List.exists (fn y => registerId y = x) l
end
fun rmv(cell, l) = let
val c = registerId cell
fun f [] = []
| f (l as (h::t)) =
let val ch = registerId h
in if c = ch then t
else if c < ch then l
else h::f l
end
in f l
end
fun uniq (cells) = List.foldl enter [] (map chase cells)
fun difference([], _) = []
| difference(l, []) = l
| difference(l1 as x::xs, l2 as y::ys) =
let val cx = registerId x and cy = registerId y
in if cx = cy then difference(xs,ys)
else if cx < cy then x::difference(xs,l2)
else difference(l1,ys)
end
fun union(a, []) = a
| union([], a) = a
| union(l1 as x::xs, l2 as y::ys) =
let val cx = registerId x and cy = registerId y
in if cx = cy then x::union(xs,ys)
else if cx < cy then x::union(xs,l2)
else y::union(l1,ys)
end
fun intersect(a, []) = []
| intersect([], a) = []
| intersect(l1 as x::xs, l2 as y::ys) =
let val cx = registerId x and cy = registerId y
in if cx = cy then x::intersect(xs,ys)
else if cx < cy then intersect(xs,l2)
else intersect(l1,ys)
end
fun notEq([], []) = false
| notEq([], l) = true
| notEq(_, []) = true
| notEq(x::l1, y::l2) = registerId x <> registerId y orelse notEq(l1,l2)
fun eq([], []) = true
| eq(x::l1, y::l2) = registerId x = registerId y orelse eq(l1,l2)
| eq(_, _) = false
fun return cs = cs
fun isEmpty [] = true
| isEmpty _ = false
fun emptyIntersection(_, []) = true
| emptyIntersection([], _) = true
| emptyIntersection(l1 as x::xs, l2 as y::ys) =
let val cx = registerId x and cy = registerId y
in if cx = cy then false
else if cx < cy then emptyIntersection(xs,l2)
else emptyIntersection(l1,ys)
end
fun nonEmptyIntersection(_, []) = false
| nonEmptyIntersection([], _) = false
| nonEmptyIntersection(l1 as x::xs, l2 as y::ys) =
let val cx = registerId x and cy = registerId y
in if cx = cy then true
else if cx < cy then nonEmptyIntersection(xs,l2)
else nonEmptyIntersection(l1,ys)
end
end
structure HashTable =
HashTableFn(type hash_key = cell
val hashVal = hashCell
val sameKey = sameCell)
structure ColorTable =
HashTableFn(type hash_key = cell
val hashVal = hashColor
val sameKey = sameColor)
structure CellSet =
struct
type cellset = (cellkindDesc * cell list) list
val empty = []
fun same(DESC{counter=c1,...}, DESC{counter=c2,...}) = c1=c2
fun descOf (CELL{desc, ...}) = desc
fun add (r, cellset:cellset) =
let val k = descOf r
fun loop [] = [(k,[r])]
| loop((x as (k',s))::cellset) =
if same(k,k') then (k',r::s)::cellset
else x::loop cellset
in loop cellset end
fun rmv (r, cellset:cellset) =
let val k = descOf r
val c = registerId r
fun filter [] = []
| filter(r::rs) = if registerId r = c then filter rs
else r::filter rs
fun loop [] = []
| loop((x as (k',s))::cellset) =
if same(k,k') then (k',filter s)::cellset else x::loop cellset
in loop cellset end
fun get (k : cellkindDesc) = let
fun loop ([] : cellset) = []
| loop ((x as (k',s))::cellset) =
if same(k, k') then s else loop cellset
in
loop
end
fun update (k : cellkindDesc) (cellset:cellset, s) = let
fun loop [] = [(k,s)]
| loop((x as (k',_))::cellset) =
if same(k,k') then (k',s)::cellset else x::loop cellset
in
loop cellset
end
fun map {from,to} (cellset:cellset) =
let val CELL{desc=k,...} = from
val cf = registerId from
fun trans r = if registerId r = cf then to else r
fun loop [] = []
| loop((x as (k',s))::cellset) =
if same(k, k') then (k',List.map trans s)::cellset
else x::loop cellset
in loop cellset end
val toCellList : cellset -> cell list =
List.foldr (fn ((_,S),S') => S @ S') []
(* Pretty print cellset *)
fun printSet(f,set,S) =
let fun loop([], S) = "}"::S
| loop([x], S) = f(chase x)::"}"::S
| loop(x::xs, S) = f(chase x)::" "::loop(xs, S)
in "{"::loop(set, S) end
fun toString' cellset =
let fun pr cellset =
let fun loop((DESC{kind, ...},s)::rest, S)=
(case s of
[] => loop(rest, S)
| _ => cellkindToString kind::"="::
printSet(toString,s," "::loop(rest,S))
)
| loop([],S) = S
in String.concat(loop(cellset, []))
end
in pr cellset end
val toString = toString'
end (* CellSet *)
(*
* These annotations specifies definitions and uses
* for a pseudo instruction.
*)
exception DEF_USE of {cellkind:cellkind, defs:cell list, uses:cell list}
val DEFUSE = Annotations.new'
{create=DEF_USE,
get=fn DEF_USE x => x | e => raise e,
toString=fn{cellkind,defs,uses} =>
"DEFUSE"^cellkindToString cellkind
}
(*
* Hack for generating memory aliasing cells
*)
val memDesc =
DESC
{kind = MEM,
counter = ref 0,
dedicated = ref 0,
low = 0,
high = ~1,
toString = fn m => "m"^i2s m,
toStringWithSize = fn (m, _) => "m"^i2s m,
defaultValues = [],
physicalRegs = ref array0,
zeroReg = NONE
}
fun mem id = CELL{id=id, an=ref [], desc=memDesc, col=ref(MACHINE id)}
val array0 = Array.tabulate(0, fn _ => raise Match) : cell Array.array
end
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