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(*  Title:      Pure/General/string.ML
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    Author:     Makarius
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Additional operations for structure String, following Isabelle/ML conventions.
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NB: Isabelle normally works with Symbol.symbol, which is represented as a
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small string fragment. Raw type char is rarely useful.
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*)
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signature STRING =
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sig
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  include STRING
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  val nth: string -> int -> char
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  val exists: (char -> bool) -> string -> bool
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  val forall: (char -> bool) -> string -> bool
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  val member: string -> char -> bool
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  val fold: (char -> 'a -> 'a) -> string -> 'a -> 'a
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  val fold_rev: (char -> 'a -> 'a) -> string -> 'a -> 'a
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end;
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structure String: STRING =
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struct
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open String;
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fun nth str i = sub (str, i);
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fun exists pred str =
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  let
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    val n = size str;
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    fun ex i = Int.< (i, n) andalso (pred (nth str i) orelse ex (i + 1));
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  in ex 0 end;
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fun forall pred = not o exists (not o pred);
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fun member str c = exists (fn c' => c = c') str;
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fun fold f str x0 =
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  let
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    val n = size str;
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    fun iter (x, i) = if Int.< (i, n) then iter (f (nth str i) x, i + 1) else x;
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  in iter (x0, 0) end;
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fun fold_rev f str x0 =
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  let
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    val n = size str;
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    fun iter (x, i) = if Int.>= (i, 0) then iter (f (nth str i) x, i - 1) else x;
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  in iter (x0, n - 1) end;
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end;
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