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(*
Title: Standard Basis Library: Vector Structure
Author: David Matthews
Copyright David Matthews 1999, 2005, 2016
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License version 2.1 as published by the Free Software Foundation.
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
*)
local
(* Inherit the definition of vector in the initial environment.
We have to declare vector in the initial environment in order
for equality to work correctly. *)
(* It would be simpler to be able to define these as functions
to or from 'a vector but that gives error messages about free
type variables. *)
val vecAsWord: 'a vector -> word = RunCall.unsafeCast
and wordAsVec: word -> 'a vector = RunCall.unsafeCast
val intAsWord: int -> word = RunCall.unsafeCast
and wordAsInt: word -> int = RunCall.unsafeCast
(* All the arrays are initially created containing zeros and then initialised. *)
fun alloc len = RunCall.allocateWordMemory(Word.fromInt len, 0wx40, 0w0)
fun unsafeSub(v: 'a vector, i: int): 'a = RunCall.loadWord (vecAsWord v, intAsWord i)
and unsafeUpdate(v: 'a vector, i: int, new: 'a): unit =
RunCall.storeWord (vecAsWord v, intAsWord i, RunCall.unsafeCast new)
in
structure Vector: VECTOR =
struct
(* N.B. This implementation of vectors is implicitly used in
Array.extract. Don't change this implementation without also
changing that. It's also used in the interface to the RTS in OS.Poll and Socket.select. *)
type 'a vector = 'a vector
(* The maximum size of a vector is the maximum object size we can allocate.
This is one more than the maximum size of an array. *)
val maxLen = RunCall.unsafeCast LibrarySupport.maxAllocation
infix 9 sub (* For what it's worth *)
(* Lock the arrays after they have been created. All this does is
switch off the "mutable" bit. This does not prevent updating of
itself, the signature does that by removing "update", but improves
g.c. performance and causes equality to check for value equality
not pointer equality. *)
val listLength = length; (* Pick this up from the prelude. *)
fun length v = wordAsInt(RunCall.memoryCellLength(vecAsWord v));
fun op sub (vec:'a vector, i: int): 'a =
let
val v = vecAsWord vec
in
if not (LibrarySupport.isShortInt i) orelse intAsWord i >= RunCall.memoryCellLength v
then raise General.Subscript
else unsafeSub(vec, i)
end
(* Create a vector from a list. We have to treat an empty list specially
because we don't allow zero sized heap objects. *)
fun fromList [] : 'a vector = wordAsVec LibrarySupport.emptyVector (* Must not try to lock it. *)
| fromList (l : 'a list) : 'a vector =
let
val length = listLength l;
val () = if length >= maxLen then raise General.Size else ()
(* Make a vector initialised to zero. *)
val vec = alloc length;
(* Copy the list elements into the vector. *)
fun init (v, i, a :: l) =
(
RunCall.storeWord(v, intAsWord i, RunCall.unsafeCast a);
init(v, i + 1, l)
)
| init (_, _, []) = ();
in
init(vec, 0, l);
RunCall.clearMutableBit vec;
wordAsVec vec
end
fun tabulate (0, _) : 'a vector = wordAsVec LibrarySupport.emptyVector (* Must not try to lock it. *)
| tabulate (length: int , f : int->'a): 'a vector =
let
val vec =
if length > 0 andalso length < maxLen then alloc length else raise General.Size;
(* Initialise it to the function values. *)
fun init i =
if length <= i then ()
else (RunCall.storeWord(vec, intAsWord i, RunCall.unsafeCast(f i)); init(i+1))
in
init 0;
RunCall.clearMutableBit vec;
wordAsVec vec
end
fun concat [] = wordAsVec LibrarySupport.emptyVector
| concat [v] = v (* Handle special cases to reduce copying. *)
| concat l =
let
(* Calculate the total length *)
fun total [] i = i
| total (h::t) i = total t (i+length h)
val total_len = total l 0
in
if total_len = 0 then wordAsVec LibrarySupport.emptyVector
else if total_len >= maxLen then raise General.Size
else
let
(* Allocate a new vector. *)
val new_vec = alloc total_len
fun copy_list [] _ = ()
| copy_list (h::t) j =
let
val v = vecAsWord h
val src_len = length h
in
RunCall.moveWords(v, new_vec, 0w0, Word.fromInt j, Word.fromInt src_len);
copy_list t (j+src_len)
end
in
copy_list l 0;
RunCall.clearMutableBit new_vec;
wordAsVec new_vec
end
end
fun map (f: 'a->'b) (vec: 'a vector): 'b vector =
let
val len = length vec
in
if len = 0 then wordAsVec LibrarySupport.emptyVector
else
let
(* Allocate a new vector. *)
val new_vec = alloc len
val newResult = wordAsVec new_vec
fun domap i =
if i >= len then ()
else (unsafeUpdate(newResult, i, f(unsafeSub(vec, i))); domap(i+1))
in
domap 0;
RunCall.clearMutableBit new_vec;
newResult
end
end
fun mapi (f: int*'a->'b) (vec:'a vector): 'b vector =
let
val len = length vec
in
if len = 0 then wordAsVec LibrarySupport.emptyVector
else
let
(* Allocate a new vector. *)
val new_vec = alloc len
val newResult = wordAsVec new_vec
fun domap i =
if i >= len then ()
else (unsafeUpdate(newResult, i, f(i, unsafeSub(vec, i))); domap(i+1))
in
domap 0;
RunCall.clearMutableBit new_vec;
newResult
end
end
(* Create a new vector with the ith element replaced by c *)
fun update(v: 'a vector, i , c) =
if i < 0 orelse i >= length v
then raise Subscript
else mapi (fn (j, s) => if j = i then c else s) v
(* Create the other functions. *)
structure VectorOps =
PolyVectorOperations(
struct
type 'a vector = 'a vector
fun length v = RunCall.memoryCellLength(vecAsWord v)
local val u = unsafeSub in fun unsafeSub (v: 'a vector, i: word) = u(v, wordAsInt i) end
fun unsafeSet _ = raise Fail "Should not be called"
end);
open VectorOps;
local
(* Install the pretty printer for vectors *)
(* We may have to do this outside the structure if we
have opaque signature matching. *)
fun pretty(depth: FixedInt.int)
(printElem: 'a * FixedInt.int -> PolyML.pretty)
(x: 'a vector) =
let
open PolyML
val last = length x - 1
fun put_elem (index, w, (l, d)) =
if d = 0 then ([PrettyString "...]"], d+1)
else if d < 0 then ([], d+1)
else
(
printElem(w, d-1) ::
(if index <> last then PrettyString "," :: PrettyBreak(1, 0) :: l else l),
d+1
)
in
PrettyBlock(3, false, [],
PrettyString "fromList[" ::
(if depth <= 0 then [PrettyString "...]"]
else #1 (foldri put_elem ([PrettyString "]"], depth - FixedInt.fromInt last) x) )
)
end
in
val () = PolyML.addPrettyPrinter pretty
end
end (* Vector *)
structure VectorSlice =
struct
datatype 'a slice = Slice of { vector: 'a vector, start: int, length: int };
fun length(Slice{length, ...}) = length
fun op sub (Slice{vector, start, length}, i: int): 'a =
if i < 0 orelse i >= length then raise General.Subscript
else unsafeSub(vector, i+start)
(* Create a slice from a vector. *)
fun slice(vec: 'a vector, i: int, NONE) =
let
val len = Vector.length vec
in
if i >= 0 andalso i <= len
then Slice{vector=vec, start=i, length=len-i} (* Length is rest of vector. *)
else raise General.Subscript
end
| slice(vec: 'a vector, i: int, SOME l) =
let
val len = Vector.length vec
in
if i >= 0 andalso l >= 0 andalso i+l <= len
then Slice{vector=vec, start=i, length=l} (* Length is as given. *)
else raise General.Subscript
end
(* Slice from the whole vector. *)
fun full v = Slice{vector=v, start=0, length=Vector.length v}
(* Slice from existing slice *)
fun subslice(Slice{vector, start, length}, i: int, NONE) =
if i >= 0 andalso i <= length
then Slice{vector=vector, start=i+start, length=length-i} (* Length is rest of array. *)
else raise General.Subscript
| subslice(Slice{vector, start, length}, i: int, SOME l) =
if i >= 0 andalso l >= 0 andalso i+l <= length
then Slice{vector=vector, start=i+start, length=l} (* Length is as given. *)
else raise General.Subscript
fun vector(Slice{vector, start, length}) =
if length = 0 then wordAsVec LibrarySupport.emptyVector (* Special case for zero *)
else
let
(* Make a vector initialised to zero. *)
val new_vec = alloc length
in
RunCall.moveWords(vecAsWord vector, new_vec, Word.fromInt start, 0w0, Word.fromInt length);
RunCall.clearMutableBit new_vec;
wordAsVec new_vec
end
fun base(Slice{vector, start, length}) = (vector, start, length)
fun isEmpty(Slice{length, ...}) = length = 0
(* Return the first item of the slice and the rest of the slice. *)
fun getItem(Slice{length=0, ...}) = NONE
| getItem(Slice{vector, start, length}) =
SOME(unsafeSub(vector, start), Slice{vector=vector, start=start+1, length=length-1})
fun concat [] = wordAsVec LibrarySupport.emptyVector
| concat l =
let
(* Calculate the total length *)
fun total [] i = i
| total (h::t) i = total t (i+length h)
val total_len = total l 0
in
if total_len = 0 then wordAsVec LibrarySupport.emptyVector
else
let
(* Allocate a new vector. *)
val new_vec = alloc total_len
fun copy_list [] _ = ()
| copy_list (Slice{vector, start, length}::t) j =
(
RunCall.moveWords(vecAsWord vector, new_vec, Word.fromInt start, Word.fromInt j, Word.fromInt length);
copy_list t (j+length)
)
in
copy_list l 0;
RunCall.clearMutableBit new_vec;
wordAsVec new_vec
end
end
fun map (f: 'a->'b) (Slice{vector:'a Vector.vector, start, length}): 'b Vector.vector =
if length = 0 then wordAsVec LibrarySupport.emptyVector
else
let
(* Allocate a new vector. *)
val new_vec = alloc length
val newResult = wordAsVec new_vec
fun domap i =
if i >= length then ()
else (unsafeUpdate(newResult, i, f(unsafeSub(vector, i+start))); domap(i+1))
in
domap 0;
RunCall.clearMutableBit new_vec;
newResult
end
fun mapi (f: int*'a->'b) (Slice{vector:'a Vector.vector, start, length}): 'b Vector.vector =
if length = 0 then wordAsVec LibrarySupport.emptyVector
else
let
(* Allocate a new vector. *)
val new_vec = alloc length
val newResult = wordAsVec new_vec
fun domap i =
if i >= length then ()
else (unsafeUpdate(newResult, i, f(i, unsafeSub(vector, i+start))); domap(i+1))
in
domap 0;
RunCall.clearMutableBit new_vec;
newResult
end
(* Create the other functions. *)
structure VectorOps =
PolyVectorOperations(
struct
type 'a vector = 'a slice
fun length(Slice{length, ...}) = intAsWord length
val unsafeSub = fn (Slice{vector, start, ...}, i) => unsafeSub (vector, wordAsInt i + start)
fun unsafeSet _ = raise Fail "Should not be called"
end);
open VectorOps;
end (* VectorSlice *)
end (* Local in end *);
structure VectorSlice :> VECTOR_SLICE = VectorSlice;
local
open VectorSlice
(* Install the pretty printer for vector slices *)
(* We may have to do this outside the structure if we
have opaque signature matching. *)
fun pretty(depth: FixedInt.int)
(printElem: 'a * FixedInt.int -> PolyML.pretty)
(x: 'a slice) =
let
open PolyML
val last = length x - 1
fun put_elem (index, w, (l, d)) =
if d = 0 then ([PrettyString "...]"], d+1)
else if d < 0 then ([], d+1)
else
(
printElem(w, d-1) ::
(if index <> last then PrettyString "," :: PrettyBreak(1, 0) :: l else l),
d+1
)
in
PrettyBlock(3, false, [],
PrettyString "fromList[" ::
(if depth <= 0 then [PrettyString "...]"]
else #1 (foldri put_elem ([PrettyString "]"], depth - FixedInt.fromInt last) x) )
)
end
in
val () = PolyML.addPrettyPrinter pretty
end
;
(* type 'a vector is available unqualified in the global basis. *)
val vector : 'a list -> 'a vector = Vector.fromList;
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