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(* List -- SML Basis Library *) datatype list = datatype list exception Empty val null : 'a list -> bool val hd : 'a list -> 'a (* Empty *) val tl : 'a list -> 'a list (* Empty *) val last : 'a list -> 'a (* Empty *) val nth : 'a list * int -> 'a (* Subscript *) val take : 'a list * int -> 'a list (* Subscript *) val drop : 'a list * int -> 'a list (* Subscript *) val length : 'a list -> int val rev : 'a list -> 'a list val @ : 'a list * 'a list -> 'a list val concat : 'a list list -> 'a list val revAppend : 'a list * 'a list -> 'a list val app : ('a -> unit) -> 'a list -> unit val map : ('a -> 'b) -> 'a list -> 'b list val mapPartial : ('a -> 'b option) -> 'a list -> 'b list val find : ('a -> bool) -> 'a list -> 'a option val filter : ('a -> bool) -> 'a list -> 'a list val partition : ('a -> bool ) -> 'a list -> ('a list * 'a list) val foldr : ('a * 'b -> 'b) -> 'b -> 'a list -> 'b val foldl : ('a * 'b -> 'b) -> 'b -> 'a list -> 'b val exists : ('a -> bool) -> 'a list -> bool val all : ('a -> bool) -> 'a list -> bool val collate : ('a * 'a -> order) -> 'a list * 'a list -> order val tabulate : int * (int -> 'a) -> 'a list (* Size *) val getItem : 'a list -> ('a * 'a list) option (* ['alist] is the type of lists of elements of type 'a. [nullxs] is true iff xs is nil. [hdxs] returns the first element of xs. Raises Empty if xs is nil. [tlxs] returns all but the first element of xs. Raises Empty if xs is nil. [lastxs] returns the last element of xs. Raises Empty if xs is nil. [nth(xs, i)] returns the i'th element of xs, counting from 0. Raises Subscript if i<0 or i>=length xs. [take(xs, i)] returns the first i elements of xs. Raises Subscript if i<0 or i>length xs. [drop(xs, i)] returns what is left after dropping the first i elements of xs. Raises Subscript if i<0 or i>length xs. It holds that take(xs, i) @ drop(xs, i) = xs when 0 <= i <= length xs. [lengthxs] returns the number of elements in xs. [revxs] returns the list of xs's elements, reversed. [xs @ ys] returns the list which is the concatenation of xs and ys. [concatxss] returns the list which is the concatenation of all the lists in xss. [revAppend(xs, ys)] is equivalent to rev xs @ ys, but more efficient. [appf xs] applies f to the elements of xs, from left to right. [mapf xs] applies f to each element x of xs, from left to right, and returns the list of f's results. [mapPartialf xs] applies f to each element x of xs, from left to right, and returns the list of those y's for which f(x) evaluated to SOME y. [findp xs] applies p to each element x of xs, from left to right, until p(x) evaluates to true; returns SOME x if such an x exists, otherwise NONE. [filterp xs] applies p to each element x of xs, from left to right, and returns the sublist of those x for which p(x) evaluated to true. [partitionp xs] applies p to each element x of xs, from left to right, and returns a pair (pos, neg) where pos is the sublist of those x for which p(x) evaluated to true, and neg is the sublist of those for which p(x) evaluated to false. [foldrop% e xs] evaluates x1 % (x2 % ( ... % (x(n-1) % (xn % e)) ... )) where xs = [x1, x2, ..., x(n-1), xn], and % is taken to be infixed. [foldlop% e xs] evaluates xn % (x(n-1) % ( ... % (x2 % (x1 % e)))) where xs = [x1, x2, ..., x(n-1), xn], and % is taken to be infixed. [existsp xs] applies p to each element x of xs, from left to right until p(x) evaluates to true; returns true if such an x exists, otherwise false. [allp xs] applies p to each element x of xs, from left to right until p(x) evaluates to false; returns false if such an x exists, otherwise true. [collatecmp (xs, ys)] returns LESS, EQUAL or GREATER according as xs precedes, equals or follows ys in the lexicographic ordering on lists induced by the ordering cmp on elements. [tabulate(n, f)] returns a list of length n whose elements are f(0), f(1), ..., f(n-1), created from left to right. Raises Size if n<0. [getItemxs] attempts to extract an element from the list xs. It returns NONE if xs is empty, and returns SOME (x, xr) if xs=x::xr. This can be used for scanning booleans, integers, reals, and so on from a list of characters. For instance, to scan a decimal integer from a list cs of characters, compute Int.scan StringCvt.DEC List.getItem cs *)

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