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(* ListPair -- SML Basis Library *) val zip : 'a list * 'b list -> ('a * 'b) list val unzip : ('a * 'b) list -> 'a list * 'b list val map : ('a * 'b -> 'c) -> 'a list * 'b list -> 'c list val app : ('a * 'b -> unit) -> 'a list * 'b list -> unit val all : ('a * 'b -> bool) -> 'a list * 'b list -> bool val exists : ('a * 'b -> bool) -> 'a list * 'b list -> bool val foldr : ('a * 'b * 'c -> 'c) -> 'c -> 'a list * 'b list -> 'c val foldl : ('a * 'b * 'c -> 'c) -> 'c -> 'a list * 'b list -> 'c (* These functions process pairs of lists. No exception is raised when the lists are found to be of unequal length. Instead the excess elements from the longer list are disregarded. [zip(xs, ys)] returns the list of pairs of corresponding elements from xs and ys. [unzipxys] returns a pair (xs, ys), where xs is the list of first components of xys, and ys is the list of second components from xys. Hence zip (unzip xys) has the same result and effect as xys. [mapf (xs, ys)] applies function f to the pairs of corresponding elements of xs and ys and returns the list of results. Hence map f (xs, ys) has the same result and effect as List.map f (zip (xs, ys)). [appf (xs, ys)] applies function f to the pairs of corresponding elements of xs and ys and returns (). Hence app f (xs, ys) has the same result and effect as List.app f (zip (xs, ys)). [allp (xs, ys)] applies predicate p to the pairs of corresponding elements of xs and ys until p evaluates to false or one or both lists is exhausted; returns true if p is true of all such pairs; otherwise false. Hence all p (xs, ys) has the same result and effect as List.all p (zip (xs, ys)). [existsp (xs, ys)] applies predicate p to the pairs of corresponding elements of xs and ys until p evaluates to true or one or both lists is exhausted; returns true if p is true of any such pair; otherwise false. Hence exists p (xs, ys) has the same result and effect as List.exists p (zip (xs, ys)). [foldrf e (xs, ys)] evaluates f(x1, y1, f(x2, y2, f(..., f(xn, yn, e)))) where xs = [x1, x2, ..., x(n-1), xn, ...], ys = [y1, y2, ..., y(n-1), yn, ...], and n = min(length xs, length ys). Equivalent to List.foldr (fn ((x, y), r) => f(x, y, r)) e (zip(xs, ys)). [foldlf e (xs, ys)] evaluates f(xn, yn, f( ..., f(x2, y2, f(x1, y1, e)))) where xs = [x1, x2, ..., x(n-1), xn, ...], ys = [y1, y2, ..., y(n-1), yn, ...], and n = min(length xs, length ys). Equivalent to List.foldl (fn ((x, y), r) => f(x, y, r)) e (zip(xs, ys)). *)

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