(* Array -- new basis 1994-11-21, 1995-05-21 *) structure Array :> Array = struct (* In fact, type 'a array = 'a array_ ref, but for the static equality * type to be right, we need to declare it a prim_EQtype: *) prim_EQtype 'a array; local prim_type 'a array_; type 'a vector = 'a Vector.vector; prim_val length_ : 'a array_ -> int = 1 "vect_length"; prim_val lengthv_ : 'a vector -> int = 1 "vect_length"; prim_val array_ : int -> 'x -> 'a array_ = 2 "make_ref_vect"; (* array_ has a non-imperative type for the sake of array0, and a very flexible type 'x to allow initialization. Thus type correctness inside this unit body depends on type annotations. *) prim_val vector_ : int -> 'x -> 'a vector = 2 "make_vect"; prim_val sub_ : 'a array_ -> int -> 'a = 2 "get_vect_item"; prim_val subv_ : 'a vector -> int -> 'a = 2 "get_vect_item"; prim_val update_ : 'a array_ -> int -> 'a -> unit = 3 "set_vect_item"; prim_val updatev : 'a vector -> int -> 'a -> unit = 3 "set_vect_item"; prim_val magic : 'a -> 'b = 1 "identity"; fun from_array (a : 'a array) = !(magic a) : 'a array_; fun make_array (a : '_a array_) = magic (ref a) : 'a array in #if defined(msdos) #include "../config.dos/m.h" #elif defined(win32) #include "../config.w32/m.h" #else #include "../config/m.h" #endif #ifdef SIXTYFOUR val maxLen = 18014398509481983; (* = 2^54-1, for 64-bit architectures *) #else val maxLen = 4194303; (* = 2^22-1, for 32-bit architectures *) #endif fun array(n, v : '_a) = if n < 0 orelse n > maxLen then raise Size else make_array (array_ n v) : '_a array; fun tabulate(n, f : int -> '_a) = if n < 0 orelse n > maxLen then raise Size else let val a = array_ n () : '_a array_ fun init i = if i >= n then () else (update_ a i (f i); init (i+1)) in (init 0; make_array a : '_a array) end; fun fromList (vs : '_a list) = let val n = List.length vs val a = if n > maxLen then raise Size else (array_ n () : '_a array_) fun init [] i = () | init (v::vs) i = (update_ a i v; init vs (i+1)) in (init vs 0; make_array a : '_a array) end; fun length a = length_ (from_array a); fun sub(a, i) = let val a = from_array a in if i < 0 orelse i >= length_ a then raise Subscript else sub_ a i end fun update(a, i, v) = let val a = from_array a in if i < 0 orelse i >= length_ a then raise Subscript else update_ a i v end fun extract (a : 'a array, i, slicelen) = let val a = from_array a : 'a array_ val n = case slicelen of NONE => length_ a - i | SOME n => n val newvec = if i<0 orelse n<0 orelse i+n > length_ a then raise Subscript else vector_ n () : 'a vector fun copy j = if j length_ a1 - i1 | SOME k => k in if n<0 orelse i1<0 orelse i1+n > length_ a1 orelse i2<0 orelse i2+n > length_ a2 then raise Subscript else if i1 < i2 then (* copy from high to low *) let fun hi2lo j = if j >= 0 then (update_ a2 (i2+j) (sub_ a1 (i1+j)); hi2lo (j-1)) else () in hi2lo (n-1) end else (* i1 >= i2, copy from low to high *) let fun lo2hi j = if j < n then (update_ a2 (i2+j) (sub_ a1 (i1+j)); lo2hi (j+1)) else () in lo2hi 0 end end fun copyVec {src=a1: 'a vector, si=i1, len, dst=a2: 'a array, di=i2} = let val a2 = from_array a2 val n = case len of NONE => lengthv_ a1 - i1 | SOME k => k in if n<0 orelse i1<0 orelse i1+n > lengthv_ a1 orelse i2<0 orelse i2+n > length_ a2 then raise Subscript else let fun lo2hi j = if j < n then (update_ a2 (i2+j) (subv_ a1 (i1+j)); lo2hi (j+1)) else () in lo2hi 0 end end; fun foldl f e a = let val a = from_array a val stop = length_ a fun lr j res = if j < stop then lr (j+1) (f(sub_ a j, res)) else res in lr 0 e end fun foldr f e a = let val a = from_array a fun rl j res = if j >= 0 then rl (j-1) (f(sub_ a j, res)) else res in rl (length_ a - 1) e end fun modify f a = let val a = from_array a val stop = length_ a fun lr j = if j < stop then (update_ a j (f(sub_ a j)); lr (j+1)) else () in lr 0 end fun app f a = let val a = from_array a val stop = length_ a fun lr j = if j < stop then (f(sub_ a j); lr (j+1)) else () in lr 0 end fun sliceend (a, i, NONE) = if i<0 orelse i>length a then raise Subscript else length a | sliceend (a, i, SOME n) = if i<0 orelse n<0 orelse i+n>length a then raise Subscript else i+n; fun foldli f e (slice as (a, i, _)) = let val a = from_array a fun loop stop = let fun lr j res = if j < stop then lr (j+1) (f(j, sub_ a j, res)) else res in lr i e end in loop (sliceend slice) end; fun foldri f e (slice as (a, i, _)) = let val a = from_array a fun loop start = let fun rl j res = if j >= i then rl (j-1) (f(j, sub_ a j, res)) else res in rl start e end; in loop (sliceend slice - 1) end fun modifyi f (slice as (a, i, _)) = let val a = from_array a fun loop stop = let fun lr j = if j < stop then (update_ a j (f(j, sub_ a j)); lr (j+1)) else () in lr i end in loop (sliceend slice) end; fun appi f (slice as (a, i, _)) = let val a = from_array a fun loop stop = let fun lr j = if j < stop then (f(j, sub_ a j); lr (j+1)) else () in lr i end in loop (sliceend slice) end; end end