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(*
Title: Standard Basis Library: BoolArray and BoolVector Structures
Author: David Matthews
Copyright David Matthews 1999, 2005
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*)
(* G&R status: BoolVector and BoolArray done. TODO: Add sliced versions. *)
local
open RuntimeCalls; (* for POLY_SYS and EXC numbers *)
open LibrarySupport
datatype address = Address of word(* Abstract *)
(* TODO: Use a single word for vectors of size <= 31 (30 on Sparc). *)
datatype vector = Vector of int*address
and array = Array of int*address
val System_lock: address -> unit = RunCall.run_call1 POLY_SYS_lockseg;
val System_loadb: address*word->word = RunCall.run_call2 POLY_SYS_load_byte;
val System_setb: address * word * word -> unit = RunCall.run_call3 POLY_SYS_assign_byte;
val System_move_bytes:
address*word*address*word*word->unit = RunCall.run_call5 POLY_SYS_move_bytes
val wordSize : word = LibrarySupport.wordSize;
(* Casts between int and word. *)
val intAsWord: int -> word = RunCall.unsafeCast
and wordAsInt: word -> int = RunCall.unsafeCast
val bitsPerWord = wordAsInt wordSize * 8
(* Limit the size to the maximum value of Word.word. This is actually
a long integer but since we always do the arithmetic as integers
it will be fine. *)
val maxLen = IntInf.pow(2, Word.wordSize) - 1
local
val System_alloc = RunCall.run_call3 POLY_SYS_alloc_store
val F_mutable_bytes : int = 65;
in
(* All the arrays and vectors are initially created containing zeros
and then initialised. If the length is zero a one-word object
is created. In the case of vectors this will remain all zeros
and will be locked so that two zero-sized vectors will be equal. *)
fun alloc bits : address =
let
val words : word =
if bits = 0
then 0w1 (* Zero-sized objects are not allowed. *)
else if bits < 0 orelse bits > maxLen
then raise General.Size
else intAsWord(Int.quot((bits + (bitsPerWord - 1)), bitsPerWord))
in
System_alloc(words, F_mutable_bytes, 0)
end
end
val andb = Word.andb and orb = Word.orb and notb = Word.notb
and << = Word.<< and >> = Word.>>;
infix 9 sub
infix 7 andb
infix 6 orb
infix 5 << >>
(* Create a vector/array from a list. Used as the basis of
Array.fromList and Vector.fromList. *)
fun fromList' (l : bool list) =
let
val length = List.length l
(* Make a array initialised to zero. *)
val vec = alloc length;
(* Accumulate the list elements into bytes and store
them in the vector. *)
fun init (byteno, acc, bit, []) =
if bit = 0w1 then () else System_setb(vec, byteno, acc)
| init (byteno, acc, bit, a :: b) =
let
val byte = if a then bit orb acc else acc
in
if bit = 0wx80
then
(
System_setb(vec, byteno, acc);
init(byteno+0w1, 0w0, 0w1, b)
)
else init(byteno, byte, bit << 0w1, b)
end
in
init(0w0, 0w0, 0w1, l);
(length, vec)
end
fun tabulate' (length: int, f : int->bool) =
let
val vec =
if length >= 0 then alloc length else raise General.Size;
(* Accumulate the bits into bytes and store into the array. *)
fun init i byteNo bit acc =
if i < length
then
let
val byte = if f i then bit orb acc else acc
in
if bit = 0wx80
then ( System_setb(vec, byteNo, byte) ; init (i+1) (byteNo+0w1) 0w1 0w0 )
else init (i+1) byteNo (bit << 0w1) byte
end
else if acc = 0w0
then ()
else (* Put in the last byte. *)
System_setb(vec, byteNo, acc)
in
init 0 0w0 0w1 0w0;
(length, vec)
end
(* Internal function which subscripts the vector assuming that
the index has already been checked for validity. *)
fun uncheckedSub (v: address, i: int): bool =
let
val (byteOffset, bitOffset) = IntInf.quotRem(i, 8)
val byte = System_loadb(v, intAsWord byteOffset);
val mask = 0w1 << intAsWord bitOffset
in
byte andb mask <> 0w0
end
(* Internal function. Checks a slice for validity and returns the
effective length if it is valid otherwise raises Subscript. *)
fun vec_slice_length(Vector(len, vec): vector, i: int, NONE) =
if i >= 0 andalso i <= len
then len-i (* Length is rest of vector. *)
else raise General.Subscript
| vec_slice_length(Vector(len, vec): vector, i: int, SOME l) =
if i >= 0 andalso l >= 0 andalso i+l <= len
then l (* Length is as given. *)
else raise General.Subscript
(* Move a set of bits from one vector of bytes to another. The bits
may not be on the same byte alignment. Does not examine the
destination so if dest_off is not byte aligned any bits required in
the first byte must be passed in as src_in. Returns any bits which
do not exactly fit into a byte. *)
(* TODO: This only handles the case where the source starts at the beginning
of the vector. It is easy to modify it for the case where the source
offset is a multiple of 8 but more difficult to handle the other cases. *)
fun move_bits(src: address, dest: address, dest_off, len, last_bits) =
let
val dest_byte = intAsWord(Int.quot(dest_off, 8)) (* Byte offset *)
val dest_bit = intAsWord dest_off - dest_byte*0w8 (* Bit offset *)
fun do_move last byte len : word =
if len >= 8
then let
(* Get the next byte and shift it up *)
val newbyte = last orb (System_loadb(src, byte) << dest_bit)
in
(* Store the low-order 8 bits into the destination. *)
System_setb(dest, dest_byte+byte, newbyte);
(* Shift the accumulator down by 8 bits and get ready for
the next byte. *)
do_move (newbyte >> 0w8) (byte+0w1) (len-8)
end
else if len <= 0
then last
else (* 0 < len < 8 *)
let
(* Get the next byte and shift it up *)
val nextsrc = System_loadb(src, byte);
val newbyte: word = last orb (nextsrc << dest_bit)
(* This assumes that any extra bits of the source are
zero. *)
in
if len + Word.toInt dest_bit >= 8
then
(
(* Store the low-order 8 bits into the destination. *)
System_setb(dest, dest_byte+byte, newbyte);
(* Shift the accumulator down by 8 bits and get ready for
the next byte. *)
do_move (newbyte >> 0w8) (byte+0w1) (len-8)
)
else newbyte
end
in
(* TODO: If dest_bit is zero we can simply move the bytes. If len
is not a multiple of 8 we may have to return the low-order bits. *)
do_move last_bits 0w0 len
end
in
structure BoolVector: MONO_VECTOR =
struct
type vector = vector
type elem = bool
val maxLen = maxLen
fun length(Vector(l, _)) = l
fun op sub (vec as Vector(l, v), i: int): bool =
if i < 0 orelse i >= l then raise General.Subscript
else uncheckedSub(v, i)
(* Create a vector from a list. Must lock the vector before
returning it. *)
fun fromList (l : elem list) : vector =
let
val (length, vec) = fromList' l
in
System_lock vec;
Vector(length, vec)
end
fun tabulate (length: int, f : int->elem): vector =
let
val (length, vec) = tabulate' (length, f)
in
System_lock vec;
Vector(length, vec)
end
fun extract(slice as (Vector(_, vec), i: int, _)) =
let
(* Check the slice for validity and get the length *)
val len = vec_slice_length slice
in
(* TODO: We may be able to handle special cases where the
source and destination are aligned on the same bit offset.
For the moment just take the simple approach. *)
tabulate(len, fn j => uncheckedSub(vec, j+i))
end
(* fun map f (Vector(len, vec)) =
let
val new_vec = alloc len (* Destination vector. *)
fun mapbyte b i acc max =
if i = max then acc
else if f ((b andb i) <> 0w0)
then mapbyte b (i<<0w1) (acc orb i) max
else mapbyte b (i<<0w1) acc max
fun copy b l =
if l <= 0 then ()
else let
val byte = System_loadb(vec, b)
val res =
(* Map each byte to get the result. Must not
apply the function beyond the last bit. *)
if l >= 8 then mapbyte byte 0w1 0w0 0wx100
else mapbyte byte 0w1 0w0 (0w1 << Word.fromInt l)
in
System_setb(new_vec, b, res);
copy (b+0w1) (l-8)
end
in
copy 0w0 len;
System_lock new_vec;
Vector(len, new_vec)
end*)
fun mapi f (Vector(len, vec)) =
let
val new_vec = alloc len (* Destination vector. *)
fun mapbyte b i acc max l =
if i = max then acc
else if f (len-l, ((b andb i) <> 0w0))
then mapbyte b (i<<0w1) (acc orb i) max (l-1)
else mapbyte b (i<<0w1) acc max (l-1)
fun copy b l =
if l <= 0 then ()
else let
val byte = System_loadb(vec, b)
val res =
(* Map each byte to get the result. Must not
apply the function beyond the last bit. *)
if l >= 8 then mapbyte byte 0w1 0w0 0wx100 l
else mapbyte byte 0w1 0w0 (0w1 << Word.fromInt l) l
in
System_setb(new_vec, b, res);
copy (b+0w1) (l-8)
end
in
copy 0w0 len;
System_lock new_vec;
Vector(len, new_vec)
end
(* To save duplicating almost the same code just define map in terms of mapi. *)
fun map f v = mapi (fn (_, x) => f x) v
(* Return a copy of the vector with a particular entry replaced *)
fun update (v as Vector(len, _), i, c) =
if i < 0 orelse i >= len
then raise Subscript
else mapi (fn (j, s) => if j = i then c else s) v
fun concat l =
let
(* Calculate the total length *)
fun total [] i = i
| total (Vector(len, _)::t) i = total t (i+len)
val total_len = total l 0
in
let
(* Allocate a new vector. *)
val new_vec = alloc total_len
(* Copy all the source vectors into the destination. *)
fun copy_list (Vector(src_len, src_vec)::t) dest_off bits =
let
val next = move_bits(src_vec, new_vec,
dest_off, src_len, bits)
in
copy_list t (dest_off+src_len) next
end
| copy_list [] dest_off bits =
(* At the end of the lists store any extra in the last byte. *)
if bits = 0w0 then ()
else System_setb(new_vec, intAsWord(Int.quot(dest_off, 8)), bits)
in
copy_list l 0 0w0;
System_lock new_vec;
Vector(total_len, new_vec)
end
end
(* Create the other functions. *)
structure VectorOps =
VectorOperations(
struct
type vector = vector and elem = elem
fun length(Vector(l, _)) = intAsWord l
fun unsafeSub (Vector(_, v), i) = uncheckedSub(v, wordAsInt i)
fun unsafeSet _ = raise Fail "Should not be called"
end);
open VectorOps;
local
(* Install the pretty printer for BoolVector.vector *)
fun pretty(put: string->unit, beg: int*bool->unit,
brk: int*int->unit, nd: unit->unit) (depth: int) _ x =
let
val last = length x - 1
fun put_elem (index, w, d) =
if d = 0 then (put "..."; d-1)
else if d < 0 then d-1
else
(
put(if w then "true" else "false");
if index <> last then (put ","; brk(1, 0)) else ();
d-1
)
in
beg(3, false);
put "fromList[";
if depth <= 0 then put "..."
else (foldli put_elem depth x; ());
put "]";
nd()
end
in
val () = PolyML.install_pp pretty
end
end
structure BoolArray: MONO_ARRAY =
struct
type array = array
type elem = bool
type vector = vector
val maxLen = maxLen;
fun length(Array(l, _)) = l
(* Internal function for updating a bit assuming the bounds
checks have already been done. *)
fun uncheckedUpdate(v, i, new): unit =
let
val (byteOffset, bitOffset) = IntInf.quotRem(i, 8)
val byteOffsetW = intAsWord byteOffset
val byte = System_loadb(v, byteOffsetW);
val mask = 0w1 << intAsWord bitOffset
val newByte =
if new then byte orb mask
else byte andb (notb mask)
in
System_setb(v, byteOffsetW, newByte)
end
fun array (len, ini) =
let
(* Create the array with zeros initially. *)
val vec = alloc len
(* If we need to set this to true we set all the bytes to 0xff.
This could mean that we have bits set which don't correspond
to values in the range and so two arrays with the same
abstract values could have different representations. That's
safe for arrays because equality is pointer equality but
wouldn't be safe for immutables because structure equality
could give the wrong answer. *)
fun setTrue i b =
if len <= i then ()
else (System_setb(vec, b, 0wxff); setTrue (i+8) (b+0w1))
in
if ini then setTrue 0 0w0 else ();
Array(len, vec)
end
fun op sub (Array(l, v), i: int): elem =
if i < 0 orelse i >= l then raise General.Subscript
else uncheckedSub(v, i)
(* Exported update function. *)
fun update (Array (l, v), i: int, new) : unit =
if i < 0 orelse i >= l
then raise General.Subscript
else uncheckedUpdate(v, i, new)
(* Create an array from a list. *)
fun fromList (l : elem list) : array = Array(fromList' l)
fun tabulate (length: int , f : int->elem): array =
Array(tabulate'(length, f))
fun vector(Array(len, vec)): vector =
(* TODO: We may be able to handle special cases where the
source and destination are aligned on the same bit offset.
For the moment just take the simple approach. *)
BoolVector.tabulate(len, fn j => uncheckedSub(vec, j))
(* Copy one array into another. The arrays could be the same but in that case di must be zero. *)
fun copy {src as Array (slen, s), dst as Array (dlen, d), di: int} =
if di < 0 orelse di+slen > dlen
then raise General.Subscript
else (* TODO: Handle multiple bits where possible by using
move_bits or a variant. *)
let
fun copyBits n =
if n >= slen then ()
else
(uncheckedUpdate(d, di+n, uncheckedSub(s, n));
copyBits(n+1))
in
copyBits 0
end
(* fun copy {src as Array (slen, s), dst as Array (dlen, d), di: int} =
let
in
if di < 0 orelse di+slen > dlen
then raise General.Subscript
else if si < di
then (* Moving up - Start from the end *)
(* TODO: Handle multiple bits where possible by using
move_bits or a variant. *)
let
fun copyBits n =
if n < 0 then ()
else
(uncheckedUpdate(d, di+n, uncheckedSub(s, si+n));
copyBits(n-1))
in
copyBits (slen-1)
end
else (* Moving down. *)
let
fun copyBits n =
if n >= slice_len then ()
else
(uncheckedUpdate(d, di+n, uncheckedSub(s, si+n));
copyBits(n+1))
in
copyBits 0
end
end
*)
(* Copy a vector into an array. *)
fun copyVec {src as Vector(slen, s), dst as Array (dlen, d), di: int} =
let
fun copyBits n =
if n >= slen then ()
else
(uncheckedUpdate(d, di+n, uncheckedSub(s, n));
copyBits(n+1))
in
if di < 0 orelse di+slen > dlen
then raise General.Subscript
else copyBits 0
end
(* Create the other functions. *)
structure VectorOps =
VectorOperations(
struct
type vector = array and elem = elem
fun length(Array(l, _)) = intAsWord l
fun unsafeSub (Array(_, v), i) = uncheckedSub(v, wordAsInt i)
fun unsafeSet (Array(_, v), i, new) = uncheckedUpdate(v, wordAsInt i, new)
end);
open VectorOps;
local
(* Install the pretty printer for BoolArray.array *)
(* We may have to do this outside the structure if we
have opaque signature matching. *)
fun pretty(put: string->unit, beg: int*bool->unit,
brk: int*int->unit, nd: unit->unit) (depth: int) _ x =
let
val last = length x - 1
fun put_elem (index, w, d) =
if d = 0 then (put "..."; d-1)
else if d < 0 then d-1
else
(
put(if w then "true" else "false");
if index <> last then (put ","; brk(1, 0)) else ();
d-1
)
in
beg(3, false);
put "fromList[";
if depth <= 0 then put "..."
else (foldli put_elem depth x; ());
put "]";
nd()
end
in
val () = PolyML.install_pp pretty
end
end
end;
(* Equality for both BoolVector.vector and BoolArray.array will be
inherited from word. This will give pointer equality for them
which is correct for array but not for vector. We need to
install a special equality function for BoolVector. *)
local
open BoolVector
in
fun it (a: vector, b: vector): bool =
length a = length b andalso
foldli (fn (i, v, res) => res andalso sub(b, i) = v) true a
end;
RunCall.addOverload it "=";
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