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(* real64-array.sml
*
* COPYRIGHT (c) 2015 The Fellowship of SML/NJ (http://www.smlnj.org)
* All rights reserved.
*)
structure Real64Array : MONO_ARRAY =
struct
(* fast add/subtract avoiding the overflow test *)
infix -- ++
fun x -- y = InlineT.Word31.copyt_int31 (InlineT.Word31.copyf_int31 x -
InlineT.Word31.copyf_int31 y)
fun x ++ y = InlineT.Word31.copyt_int31 (InlineT.Word31.copyf_int31 x +
InlineT.Word31.copyf_int31 y)
(* unchecked access operations *)
val uupd = InlineT.Real64Array.update
val usub = InlineT.Real64Array.sub
(* val vecUpdate = InlineT.Real64Vector.update*) (** not yet **)
val vusub = InlineT.Real64Vector.sub
val vlength = InlineT.Real64Vector.length
type array = Assembly.A.real64array
type elem = Real64.real
type vector = Real64Vector.vector
val maxLen = Core.max_length
fun array (0, _) = InlineT.Real64Array.newArray0()
| array (len, v) = if (InlineT.DfltInt.ltu(maxLen, len))
then raise General.Size
else let
val arr = Assembly.A.create_r len
fun init i = if (i < len)
then (uupd(arr, i, v); init(i+1))
else ()
in
init 0; arr
end
fun tabulate (0, _) = InlineT.Real64Array.newArray0()
| tabulate (len, f) = if (InlineT.DfltInt.ltu(maxLen, len))
then raise General.Size
else let
val arr = Assembly.A.create_r len
fun init i = if (i < len)
then (uupd(arr, i, f i); init(i+1))
else ()
in
init 0; arr
end
fun fromList [] = InlineT.Real64Array.newArray0()
| fromList l = let
fun length ([], n) = n
| length (_::r, n) = length (r, n+1)
val len = length (l, 0)
val _ = if (maxLen < len) then raise General.Size else ()
val arr = Assembly.A.create_r len
fun init ([], _) = ()
| init (c::r, i) = (uupd(arr, i, c); init(r, i+1))
in
init (l, 0); arr
end
val length = InlineT.Real64Array.length
val sub = InlineT.Real64Array.chkSub
val update = InlineT.Real64Array.chkUpdate
fun vector a = Real64Vector.tabulate (length a, fn i => usub (a, i))
fun copy { src, dst, di } = let
val sl = length src
val de = sl + di
fun copyDn (s, d) =
if s < 0 then () else (uupd (dst, d, usub (src, s));
copyDn (s -- 1, d -- 1))
in
if di < 0 orelse de > length dst then raise Subscript
else copyDn (sl -- 1, de -- 1)
end
fun copyVec { src, dst, di } = let
val sl = vlength src
val de = sl + di
fun copyDn (s, d) =
if s < 0 then () else (uupd (dst, d, vusub (src, s));
copyDn (s -- 1, d -- 1))
in
if di < 0 orelse de > length dst then raise Subscript
else copyDn (sl -- 1, de -- 1)
end
fun appi f arr = let
val len = length arr
fun app i =
if i >= len then () else (f (i, usub (arr, i)); app (i ++ 1))
in
app 0
end
fun app f arr = let
val len = length arr
fun app i =
if i >= len then () else (f (usub (arr, i)); app (i ++ 1))
in
app 0
end
fun modifyi f arr = let
val len = length arr
fun mdf i =
if i >= len then ()
else (uupd (arr, i, f (i, usub (arr, i))); mdf (i ++ 1))
in
mdf 0
end
fun modify f arr = let
val len = length arr
fun mdf i =
if i >= len then ()
else (uupd (arr, i, f (usub (arr, i))); mdf (i ++ 1))
in
mdf 0
end
fun foldli f init arr = let
val len = length arr
fun fold (i, a) =
if i >= len then a else fold (i ++ 1, f (i, usub (arr, i), a))
in
fold (0, init)
end
fun foldl f init arr = let
val len = length arr
fun fold (i, a) =
if i >= len then a else fold (i ++ 1, f (usub (arr, i), a))
in
fold (0, init)
end
fun foldri f init arr = let
fun fold (i, a) =
if i < 0 then a else fold (i -- 1, f (i, usub (arr, i), a))
in
fold (length arr -- 1, init)
end
fun foldr f init arr = let
fun fold (i, a) =
if i < 0 then a else fold (i -- 1, f (usub (arr, i), a))
in
fold (length arr -- 1, init)
end
fun findi p arr = let
val len = length arr
fun fnd i =
if i >= len then NONE
else let val x = usub (arr, i)
in
if p (i, x) then SOME (i, x) else fnd (i ++ 1)
end
in
fnd 0
end
fun find p arr = let
val len = length arr
fun fnd i =
if i >= len then NONE
else let val x = usub (arr, i)
in
if p x then SOME x else fnd (i ++ 1)
end
in
fnd 0
end
fun exists p arr = let
val len = length arr
fun ex i = i < len andalso (p (usub (arr, i)) orelse ex (i ++ 1))
in
ex 0
end
fun all p arr = let
val len = length arr
fun al i = i >= len orelse (p (usub (arr, i)) andalso al (i ++ 1))
in
al 0
end
fun collate c (a1, a2) = let
val l1 = length a1
val l2 = length a2
val l12 = InlineT.Int31.min (l1, l2)
fun col i =
if i >= l12 then IntImp.compare (l1, l2)
else case c (usub (a1, i), usub (a2, i)) of
EQUAL => col (i ++ 1)
| unequal => unequal
in
col 0
end
(* added for Basis Library proposal 2015-003 *)
fun toList arr = foldr op :: [] arr
fun fromVector v = let
val n = vlength v
in
if (n = 0)
then InlineT.Real64Array.newArray0()
else let
val arr = Assembly.A.create_r n
fun fill i = if (i < n)
then (uupd(arr, i, vusub(v, i)); fill(i ++ 1))
else arr
in
fill 0
end
end
val toVector = vector
end (* structure Real64Array *)
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