src/Pure/library.ML
author haftmann
Wed Oct 04 14:17:38 2006 +0200 (2006-10-04)
changeset 20854 f9cf9e62d11c
parent 20510 5e844572939d
child 20882 90b3f8047f55
permissions -rw-r--r--
insert replacing ins ins_int ins_string
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(*  Title:      Pure/library.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Author:     Markus Wenzel, TU Muenchen
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Basic library: functions, options, pairs, booleans, lists, integers,
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strings, lists as sets, balanced trees, orders, current directory, misc.
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*)
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infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
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infix 2 ?;
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infix 3 o oo ooo oooo;
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infix 4 ~~ upto downto;
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infix orf andf \ \\ mem mem_int mem_string union union_int
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  union_string inter inter_int inter_string subset subset_int subset_string;
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signature BASIC_LIBRARY =
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sig
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  (*functions*)
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  val I: 'a -> 'a
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  val K: 'a -> 'b -> 'a
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  val curry: ('a * 'b -> 'c) -> 'a -> 'b -> 'c
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  val uncurry: ('a -> 'b -> 'c) -> 'a * 'b -> 'c
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  val |> : 'a * ('a -> 'b) -> 'b
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  val |-> : ('c * 'a) * ('c -> 'a -> 'b) -> 'b
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  val ||> : ('c * 'a) * ('a -> 'b) -> 'c * 'b
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  val ||>> : ('c * 'a) * ('a -> 'd * 'b) -> ('c * 'd) * 'b
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  val |>> : ('a * 'c) * ('a -> 'b) -> 'b * 'c
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  val |>>> : ('a * 'c) * ('a -> 'b * 'd) -> 'b * ('c * 'd)
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  val #> : ('a -> 'b) * ('b -> 'c) -> 'a -> 'c
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  val #-> : ('a -> 'c * 'b) * ('c -> 'b -> 'd) -> 'a -> 'd
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  val ? : ('a -> bool) * ('a -> 'a) -> 'a -> 'a
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  val ` : ('b -> 'a) -> 'b -> 'a * 'b
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  val tap: ('b -> 'a) -> 'b -> 'b
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  val oo: ('a -> 'b) * ('c -> 'd -> 'a) -> 'c -> 'd -> 'b
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  val ooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'a) -> 'c -> 'd -> 'e -> 'b
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  val oooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'f -> 'a) -> 'c -> 'd -> 'e -> 'f -> 'b
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  val funpow: int -> ('a -> 'a) -> 'a -> 'a
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  (*options*)
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  val the: 'a option -> 'a
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  val these: 'a list option -> 'a list
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  val the_default: 'a -> 'a option -> 'a
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  val the_list: 'a option -> 'a list
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  val is_some: 'a option -> bool
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  val is_none: 'a option -> bool
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  val perhaps: ('a -> 'a option) -> 'a -> 'a
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  val merge_opt: ('a * 'a -> bool) -> 'a option * 'a option -> 'a option
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  (*exceptions*)
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  val try: ('a -> 'b) -> 'a -> 'b option
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  val can: ('a -> 'b) -> 'a -> bool
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  exception EXCEPTION of exn * string
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  val do_transform_failure: bool ref
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  val transform_failure: (exn -> exn) -> ('a -> 'b) -> 'a -> 'b
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  datatype 'a result = Result of 'a | Exn of exn
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  val capture: ('a -> 'b) -> 'a -> 'b result
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  val release: 'a result -> 'a
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  val get_result: 'a result -> 'a option
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  val get_exn: 'a result -> exn option
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  (*errors*)
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  exception SYS_ERROR of string
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  val sys_error: string -> 'a
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  exception ERROR of string
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  val error: string -> 'a
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  val cat_error: string -> string -> 'a
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  val assert: bool -> string -> unit
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  val deny: bool -> string -> unit
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  val assert_all: ('a -> bool) -> 'a list -> ('a -> string) -> unit
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  (*pairs*)
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  val pair: 'a -> 'b -> 'a * 'b
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  val rpair: 'a -> 'b -> 'b * 'a
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  val fst: 'a * 'b -> 'a
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  val snd: 'a * 'b -> 'b
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  val eq_fst: ('a * 'c -> bool) -> ('a * 'b) * ('c * 'd) -> bool
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  val eq_snd: ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool
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  val eq_pair: ('a * 'c -> bool) -> ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool
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  val swap: 'a * 'b -> 'b * 'a
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  val apfst: ('a -> 'b) -> 'a * 'c -> 'b * 'c
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  val apsnd: ('a -> 'b) -> 'c * 'a -> 'c * 'b
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  val pairself: ('a -> 'b) -> 'a * 'a -> 'b * 'b
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  val string_of_pair: ('a -> string) -> ('b -> string) -> 'a * 'b -> string
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  (*booleans*)
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  val equal: ''a -> ''a -> bool
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  val not_equal: ''a -> ''a -> bool
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  val orf: ('a -> bool) * ('a -> bool) -> 'a -> bool
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  val andf: ('a -> bool) * ('a -> bool) -> 'a -> bool
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  val exists: ('a -> bool) -> 'a list -> bool
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  val forall: ('a -> bool) -> 'a list -> bool
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  val set: bool ref -> bool
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  val reset: bool ref -> bool
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  val toggle: bool ref -> bool
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  val change: 'a ref -> ('a -> 'a) -> unit
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  val setmp: 'a ref -> 'a -> ('b -> 'c) -> 'b -> 'c
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  val conditional: bool -> (unit -> unit) -> unit
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  (*lists*)
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  exception UnequalLengths
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  val cons: 'a -> 'a list -> 'a list
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  val single: 'a -> 'a list
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  val singleton: ('a list -> 'b list) -> 'a -> 'b
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  val append: 'a list -> 'a list -> 'a list
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  val apply: ('a -> 'a) list -> 'a -> 'a
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  val fold: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b
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  val fold_rev: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b
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  val fold_map: ('a -> 'b -> 'c * 'b) -> 'a list -> 'b -> 'c list * 'b
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  val foldr1: ('a * 'a -> 'a) -> 'a list -> 'a
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  val foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list
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  val flat: 'a list list -> 'a list
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  val maps: ('a -> 'b list) -> 'a list -> 'b list
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  val unflat: 'a list list -> 'b list -> 'b list list
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  val burrow: ('a list -> 'b list) -> 'a list list -> 'b list list
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  val fold_burrow: ('a list -> 'c -> 'b list * 'd) -> 'a list list -> 'c -> 'b list list * 'd
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  val chop: int -> 'a list -> 'a list * 'a list
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  val dropwhile: ('a -> bool) -> 'a list -> 'a list
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  val nth: 'a list -> int -> 'a
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  val nth_update: int * 'a -> 'a list -> 'a list
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  val nth_map: int -> ('a -> 'a) -> 'a list -> 'a list
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  val nth_list: 'a list list -> int -> 'a list
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  val map_index: (int * 'a -> 'b) -> 'a list -> 'b list
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  val fold_index: (int * 'a -> 'b -> 'b) -> 'a list -> 'b -> 'b
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  val split_last: 'a list -> 'a list * 'a
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  val find_index: ('a -> bool) -> 'a list -> int
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  val find_index_eq: ''a -> ''a list -> int
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  val find_first: ('a -> bool) -> 'a list -> 'a option
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  val get_index: ('a -> 'b option) -> 'a list -> (int * 'b) option
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  val get_first: ('a -> 'b option) -> 'a list -> 'b option
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  val eq_list: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val map2: ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list
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  val fold2: ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c
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  val zip_options: 'a list -> 'b option list -> ('a * 'b) list
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  val ~~ : 'a list * 'b list -> ('a * 'b) list
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  val split_list: ('a * 'b) list -> 'a list * 'b list
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  val separate: 'a -> 'a list -> 'a list
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  val replicate: int -> 'a -> 'a list
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  val multiply: 'a list -> 'a list list -> 'a list list
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  val product: 'a list -> 'b list -> ('a * 'b) list
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  val filter: ('a -> bool) -> 'a list -> 'a list
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  val filter_out: ('a -> bool) -> 'a list -> 'a list
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  val map_filter: ('a -> 'b option) -> 'a list -> 'b list
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  val is_prefix: ('a * 'a -> bool) -> 'a list -> 'a list -> bool
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  val take_prefix: ('a -> bool) -> 'a list -> 'a list * 'a list
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  val chop_prefix: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list * ('a list * 'b list)
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  val take_suffix: ('a -> bool) -> 'a list -> 'a list * 'a list
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  val prefixes1: 'a list -> 'a list list
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  val prefixes: 'a list -> 'a list list
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  val suffixes1: 'a list -> 'a list list
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  val suffixes: 'a list -> 'a list list
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  (*integers*)
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  val gcd: IntInf.int * IntInf.int -> IntInf.int
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  val lcm: IntInf.int * IntInf.int -> IntInf.int
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  val inc: int ref -> int
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  val dec: int ref -> int
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  val upto: int * int -> int list
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  val downto: int * int -> int list
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  val downto0: int list * int -> bool
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  val radixpand: int * int -> int list
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  val radixstring: int * string * int -> string
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  val string_of_int: int -> string
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  val string_of_indexname: string * int -> string
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  val read_intinf: int -> string list -> IntInf.int * string list
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  val read_int: string list -> int * string list
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  val oct_char: string -> string
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  (*strings*)
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  val nth_string: string -> int -> string
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  val fold_string: (string -> 'a -> 'a) -> string -> 'a -> 'a
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  val exists_string: (string -> bool) -> string -> bool
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  val forall_string: (string -> bool) -> string -> bool
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  val enclose: string -> string -> string -> string
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  val unenclose: string -> string
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  val quote: string -> string
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  val space_implode: string -> string list -> string
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  val commas: string list -> string
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  val commas_quote: string list -> string
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  val cat_lines: string list -> string
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  val space_explode: string -> string -> string list
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  val split_lines: string -> string list
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  val prefix_lines: string -> string -> string
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  val untabify: string list -> string list
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  val prefix: string -> string -> string
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  val suffix: string -> string -> string
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  val unprefix: string -> string -> string
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  val unsuffix: string -> string -> string
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  val replicate_string: int -> string -> string
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  val translate_string: (string -> string) -> string -> string
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  val string_of_list: ('a -> string) -> 'a list -> string
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  val string_of_option: ('a -> string) -> 'a option -> string
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  (*lists as sets -- see also Pure/General/ord_list.ML*)
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  val member: ('b * 'a -> bool) -> 'a list -> 'b -> bool
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  val insert: ('a * 'a -> bool) -> 'a -> 'a list -> 'a list
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  val remove: ('b * 'a -> bool) -> 'b -> 'a list -> 'a list
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  val subtract: ('b * 'a -> bool) -> 'b list -> 'a list -> 'a list
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  val merge: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list
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  val mem: ''a * ''a list -> bool
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  val mem_int: int * int list -> bool
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  val mem_string: string * string list -> bool
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  val union: ''a list * ''a list -> ''a list
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  val union_int: int list * int list -> int list
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  val union_string: string list * string list -> string list
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  val gen_union: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list
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  val gen_inter: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
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  val inter: ''a list * ''a list -> ''a list
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  val inter_int: int list * int list -> int list
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  val inter_string: string list * string list -> string list
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  val subset: ''a list * ''a list -> bool
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  val subset_int: int list * int list -> bool
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  val subset_string: string list * string list -> bool
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  val eq_set: ''a list * ''a list -> bool
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  val eq_set_string: string list * string list -> bool
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  val gen_subset: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val gen_eq_set: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val \ : ''a list * ''a -> ''a list
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  val \\ : ''a list * ''a list -> ''a list
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  val gen_rem: ('a * 'b -> bool) -> 'a list * 'b -> 'a list
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  val gen_rems: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
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  val findrep: ''a list -> ''a list
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  val distinct: ('a * 'a -> bool) -> 'a list -> 'a list
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  val duplicates: ('a * 'a -> bool) -> 'a list -> 'a list
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  val has_duplicates: ('a * 'a -> bool) -> 'a list -> bool
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  (*lists as tables -- see also Pure/General/alist.ML*)
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  val gen_merge_lists: ('a * 'a -> bool) -> 'a list -> 'a list -> 'a list
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  val merge_lists: ''a list -> ''a list -> ''a list
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  val merge_alists: (''a * 'b) list -> (''a * 'b) list -> (''a * 'b) list
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  (*balanced trees*)
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  exception Balance
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  val fold_bal: ('a * 'a -> 'a) -> 'a list -> 'a
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  val access_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> int -> 'a
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  val accesses_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> 'a list
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  (*orders*)
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  val is_equal: order -> bool
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  val rev_order: order -> order
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  val make_ord: ('a * 'a -> bool) -> 'a * 'a -> order
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  val int_ord: int * int -> order
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  val string_ord: string * string -> order
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  val fast_string_ord: string * string -> order
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  val option_ord: ('a * 'b -> order) -> 'a option * 'b option -> order
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  val prod_ord: ('a * 'b -> order) -> ('c * 'd -> order) -> ('a * 'c) * ('b * 'd) -> order
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  val dict_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
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  val list_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
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  val sort: ('a * 'a -> order) -> 'a list -> 'a list
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  val sort_distinct: ('a * 'a -> order) -> 'a list -> 'a list
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  val sort_strings: string list -> string list
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  val sort_wrt: ('a -> string) -> 'a list -> 'a list
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  (*random numbers*)
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  exception RANDOM
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  val random: unit -> real
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  val random_range: int -> int -> int
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  val one_of: 'a list -> 'a
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  val frequency: (int * 'a) list -> 'a
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  (*current directory*)
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  val cd: string -> unit
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  val pwd: unit -> string
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  (*misc*)
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  val divide_and_conquer: ('a -> 'a list * ('b list -> 'b)) -> 'a -> 'b
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  val partition_eq: ('a * 'a -> bool) -> 'a list -> 'a list list
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  val partition_list: (int -> 'a -> bool) -> int -> int -> 'a list -> 'a list list
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  val gensym: string -> string
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  val scanwords: (string -> bool) -> string list -> string list
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  type stamp
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  val stamp: unit -> stamp
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  type serial
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  val serial: unit -> serial
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  val serial_string: unit -> string
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  structure Object: sig type T end
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end;
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signature LIBRARY =
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sig
wenzelm@15745
   282
  include BASIC_LIBRARY
skalberg@15570
   283
  val foldl: ('a * 'b -> 'a) -> 'a * 'b list -> 'a
skalberg@15570
   284
  val foldr: ('a * 'b -> 'b) -> 'a list * 'b -> 'b
skalberg@15570
   285
  val take: int * 'a list -> 'a list
skalberg@15570
   286
  val drop: int * 'a list -> 'a list
skalberg@15570
   287
  val last_elem: 'a list -> 'a
skalberg@15570
   288
  val seq: ('a -> unit) -> 'a list -> unit
skalberg@15570
   289
end;
skalberg@15570
   290
wenzelm@15745
   291
structure Library: LIBRARY =
clasohm@1364
   292
struct
clasohm@0
   293
wenzelm@4995
   294
wenzelm@233
   295
(** functions **)
clasohm@0
   296
wenzelm@16842
   297
fun I x = x;
wenzelm@16842
   298
fun K x = fn _ => x;
wenzelm@233
   299
fun curry f x y = f (x, y);
wenzelm@233
   300
fun uncurry f (x, y) = f x y;
clasohm@0
   301
wenzelm@16705
   302
(*reverse application and structured results*)
wenzelm@16705
   303
fun x |> f = f x;
wenzelm@16705
   304
fun (x, y) |-> f = f x y;
wenzelm@16705
   305
fun (x, y) |>> f = (f x, y);
wenzelm@16705
   306
fun (x, y) ||> f = (x, f y);
wenzelm@16705
   307
fun (x, y) |>>> f = let val (x', z) = f x in (x', (y, z)) end;
wenzelm@16705
   308
fun (x, y) ||>> f = let val (z, y') = f y in ((x, z), y') end;
wenzelm@16842
   309
wenzelm@16842
   310
(*reverse composition*)
haftmann@16780
   311
fun f #> g = g o f;
wenzelm@16842
   312
fun f #-> g = uncurry g o f;
wenzelm@16842
   313
haftmann@17141
   314
(*conditional application*)
wenzelm@17545
   315
fun b ? f = fn x => if b x then f x else x;
haftmann@17141
   316
wenzelm@16842
   317
(*view results*)
wenzelm@16842
   318
fun `f = fn x => (f x, x);
wenzelm@17545
   319
fun tap f = fn x => (f x; x);
wenzelm@380
   320
wenzelm@16721
   321
(*composition with multiple args*)
wenzelm@16721
   322
fun (f oo g) x y = f (g x y);
wenzelm@16721
   323
fun (f ooo g) x y z = f (g x y z);
wenzelm@16721
   324
fun (f oooo g) x y z w = f (g x y z w);
wenzelm@16721
   325
wenzelm@233
   326
(*function exponentiation: f(...(f x)...) with n applications of f*)
wenzelm@233
   327
fun funpow n f x =
wenzelm@233
   328
  let fun rep (0, x) = x
wenzelm@233
   329
        | rep (n, x) = rep (n - 1, f x)
wenzelm@233
   330
  in rep (n, x) end;
wenzelm@160
   331
wenzelm@160
   332
wenzelm@233
   333
(** options **)
clasohm@0
   334
wenzelm@15970
   335
val the = Option.valOf;
wenzelm@17341
   336
haftmann@17153
   337
fun these (SOME x) = x
haftmann@17313
   338
  | these _ = [];
wenzelm@17341
   339
haftmann@17313
   340
fun the_default x (SOME y) = y
haftmann@17313
   341
  | the_default x _ = x;
wenzelm@17341
   342
haftmann@17313
   343
fun the_list (SOME x) = [x]
haftmann@17313
   344
  | the_list _ = []
wenzelm@15970
   345
wenzelm@15970
   346
fun is_some (SOME _) = true
wenzelm@15970
   347
  | is_some NONE = false;
wenzelm@15970
   348
wenzelm@15970
   349
fun is_none (SOME _) = false
wenzelm@15970
   350
  | is_none NONE = true;
wenzelm@15970
   351
wenzelm@18376
   352
fun perhaps f x = the_default x (f x);
wenzelm@18376
   353
haftmann@19454
   354
fun merge_opt _ (NONE, y) = y
haftmann@19454
   355
  | merge_opt _ (x, NONE) = x
haftmann@19454
   356
  | merge_opt eq (SOME x, SOME y) = if eq (x, y) then SOME y else raise Option;
wenzelm@6959
   357
wenzelm@19474
   358
wenzelm@17341
   359
(* exceptions *)
wenzelm@17341
   360
wenzelm@18681
   361
val do_transform_failure = ref true;
wenzelm@18681
   362
wenzelm@18681
   363
fun transform_failure exn f x =
wenzelm@18681
   364
  if ! do_transform_failure then
wenzelm@18681
   365
    f x handle Interrupt => raise Interrupt | e => raise exn e
wenzelm@18681
   366
  else f x;
wenzelm@18681
   367
wenzelm@17341
   368
exception EXCEPTION of exn * string;
wenzelm@6959
   369
wenzelm@6959
   370
skalberg@15531
   371
fun try f x = SOME (f x)
wenzelm@18681
   372
  handle Interrupt => raise Interrupt | _ => NONE;
wenzelm@6959
   373
wenzelm@6959
   374
fun can f x = is_some (try f x);
wenzelm@4139
   375
wenzelm@4139
   376
wenzelm@14868
   377
datatype 'a result =
wenzelm@14868
   378
  Result of 'a |
wenzelm@14868
   379
  Exn of exn;
wenzelm@14868
   380
wenzelm@14868
   381
fun capture f x = Result (f x) handle e => Exn e;
wenzelm@14868
   382
wenzelm@14868
   383
fun release (Result y) = y
wenzelm@14868
   384
  | release (Exn e) = raise e;
wenzelm@14868
   385
skalberg@15531
   386
fun get_result (Result x) = SOME x
skalberg@15531
   387
  | get_result _ = NONE;
wenzelm@14868
   388
skalberg@15531
   389
fun get_exn (Exn exn) = SOME exn
skalberg@15531
   390
  | get_exn _ = NONE;
wenzelm@14868
   391
wenzelm@14868
   392
wenzelm@18681
   393
(* errors *)
wenzelm@18681
   394
wenzelm@19542
   395
exception SYS_ERROR of string;
wenzelm@19542
   396
fun sys_error msg = raise SYS_ERROR msg;
wenzelm@19542
   397
wenzelm@18681
   398
exception ERROR of string;
wenzelm@18681
   399
fun error msg = raise ERROR msg;
wenzelm@18681
   400
wenzelm@18681
   401
fun cat_error "" msg = error msg
wenzelm@18681
   402
  | cat_error msg1 msg2 = error (msg1 ^ "\n" ^ msg2);
wenzelm@18681
   403
wenzelm@18681
   404
fun assert p msg = if p then () else error msg;
wenzelm@18681
   405
fun deny p msg = if p then error msg else ();
wenzelm@18681
   406
wenzelm@18681
   407
fun assert_all pred list msg =
wenzelm@18681
   408
  let
wenzelm@18681
   409
    fun ass [] = ()
wenzelm@18681
   410
      | ass (x :: xs) = if pred x then ass xs else error (msg x);
wenzelm@18681
   411
  in ass list end;
wenzelm@18681
   412
wenzelm@18681
   413
wenzelm@233
   414
(** pairs **)
wenzelm@233
   415
wenzelm@233
   416
fun pair x y = (x, y);
wenzelm@233
   417
fun rpair x y = (y, x);
wenzelm@233
   418
wenzelm@233
   419
fun fst (x, y) = x;
wenzelm@233
   420
fun snd (x, y) = y;
wenzelm@233
   421
haftmann@17498
   422
fun eq_fst eq ((x1, _), (x2, _)) = eq (x1, x2);
haftmann@17498
   423
fun eq_snd eq ((_, y1), (_, y2)) = eq (y1, y2);
haftmann@19454
   424
fun eq_pair eqx eqy ((x1, y1), (x2, y2)) = eqx (x1, x2) andalso eqy (y1, y2);
wenzelm@233
   425
wenzelm@233
   426
fun swap (x, y) = (y, x);
wenzelm@233
   427
wenzelm@4212
   428
(*apply function to components*)
wenzelm@233
   429
fun apfst f (x, y) = (f x, y);
wenzelm@233
   430
fun apsnd f (x, y) = (x, f y);
wenzelm@4212
   431
fun pairself f (x, y) = (f x, f y);
wenzelm@233
   432
webertj@19567
   433
fun string_of_pair f1 f2 (x, y) = "(" ^ f1 x ^ ", " ^ f2 y ^ ")";
wenzelm@233
   434
wenzelm@233
   435
wenzelm@233
   436
(** booleans **)
wenzelm@233
   437
wenzelm@233
   438
(* equality *)
wenzelm@233
   439
wenzelm@233
   440
fun equal x y = x = y;
wenzelm@233
   441
fun not_equal x y = x <> y;
wenzelm@233
   442
wenzelm@233
   443
(* operators for combining predicates *)
wenzelm@233
   444
wenzelm@16721
   445
fun p orf q = fn x => p x orelse q x;
wenzelm@16721
   446
fun p andf q = fn x => p x andalso q x;
wenzelm@233
   447
wenzelm@233
   448
(* predicates on lists *)
wenzelm@233
   449
wenzelm@233
   450
(*exists pred [x1, ..., xn] ===> pred x1 orelse ... orelse pred xn*)
wenzelm@233
   451
fun exists (pred: 'a -> bool) : 'a list -> bool =
wenzelm@233
   452
  let fun boolf [] = false
wenzelm@233
   453
        | boolf (x :: xs) = pred x orelse boolf xs
wenzelm@233
   454
  in boolf end;
wenzelm@233
   455
wenzelm@233
   456
(*forall pred [x1, ..., xn] ===> pred x1 andalso ... andalso pred xn*)
wenzelm@233
   457
fun forall (pred: 'a -> bool) : 'a list -> bool =
wenzelm@233
   458
  let fun boolf [] = true
wenzelm@233
   459
        | boolf (x :: xs) = pred x andalso boolf xs
wenzelm@233
   460
  in boolf end;
clasohm@0
   461
wenzelm@19644
   462
wenzelm@380
   463
(* flags *)
wenzelm@380
   464
wenzelm@380
   465
fun set flag = (flag := true; true);
wenzelm@380
   466
fun reset flag = (flag := false; false);
wenzelm@380
   467
fun toggle flag = (flag := not (! flag); ! flag);
wenzelm@380
   468
wenzelm@9118
   469
fun change r f = r := f (! r);
wenzelm@9118
   470
wenzelm@18712
   471
(*temporarily set flag during execution*)
wenzelm@2978
   472
fun setmp flag value f x =
wenzelm@2958
   473
  let
wenzelm@2958
   474
    val orig_value = ! flag;
wenzelm@18712
   475
    val _ = flag := value;
wenzelm@18712
   476
    val result = capture f x;
wenzelm@18712
   477
    val _ = flag := orig_value;
wenzelm@18712
   478
  in release result end;
wenzelm@2958
   479
wenzelm@19644
   480
wenzelm@11853
   481
(* conditional execution *)
wenzelm@11853
   482
wenzelm@11853
   483
fun conditional b f = if b then f () else ();
wenzelm@11853
   484
wenzelm@233
   485
wenzelm@233
   486
(** lists **)
wenzelm@233
   487
skalberg@15570
   488
exception UnequalLengths;
wenzelm@233
   489
wenzelm@233
   490
fun cons x xs = x :: xs;
wenzelm@5285
   491
fun single x = [x];
wenzelm@233
   492
wenzelm@19273
   493
fun singleton f x = (case f [x] of [y] => y | _ => raise Empty);
wenzelm@19273
   494
wenzelm@4629
   495
fun append xs ys = xs @ ys;
wenzelm@4629
   496
wenzelm@5904
   497
fun apply [] x = x
wenzelm@5904
   498
  | apply (f :: fs) x = apply fs (f x);
wenzelm@5904
   499
wenzelm@233
   500
wenzelm@233
   501
(* fold *)
wenzelm@233
   502
wenzelm@16654
   503
fun fold f =
wenzelm@16654
   504
  let
wenzelm@16654
   505
    fun fold_aux [] y = y
wenzelm@16654
   506
      | fold_aux (x :: xs) y = fold_aux xs (f x y);
wenzelm@16654
   507
  in fold_aux end;
wenzelm@15760
   508
wenzelm@16654
   509
fun fold_rev f =
wenzelm@16654
   510
  let
wenzelm@16654
   511
    fun fold_aux [] y = y
wenzelm@16654
   512
      | fold_aux (x :: xs) y = f x (fold_aux xs y);
wenzelm@16654
   513
  in fold_aux end;
wenzelm@16654
   514
haftmann@16869
   515
fun fold_map f =
haftmann@16691
   516
  let
haftmann@16691
   517
    fun fold_aux [] y = ([], y)
haftmann@16691
   518
      | fold_aux (x :: xs) y =
haftmann@16691
   519
          let
wenzelm@16705
   520
            val (x', y') = f x y;
wenzelm@16705
   521
            val (xs', y'') = fold_aux xs y';
haftmann@16691
   522
          in (x' :: xs', y'') end;
haftmann@16691
   523
  in fold_aux end;
haftmann@16691
   524
wenzelm@233
   525
(*the following versions of fold are designed to fit nicely with infixes*)
clasohm@0
   526
wenzelm@233
   527
(*  (op @) (e, [x1, ..., xn])  ===>  ((e @ x1) @ x2) ... @ xn
wenzelm@233
   528
    for operators that associate to the left (TAIL RECURSIVE)*)
wenzelm@233
   529
fun foldl (f: 'a * 'b -> 'a) : 'a * 'b list -> 'a =
wenzelm@233
   530
  let fun itl (e, [])  = e
wenzelm@233
   531
        | itl (e, a::l) = itl (f(e, a), l)
wenzelm@233
   532
  in  itl end;
wenzelm@233
   533
wenzelm@233
   534
(*  (op @) ([x1, ..., xn], e)  ===>   x1 @ (x2 ... @ (xn @ e))
wenzelm@233
   535
    for operators that associate to the right (not tail recursive)*)
wenzelm@233
   536
fun foldr f (l, e) =
wenzelm@233
   537
  let fun itr [] = e
wenzelm@233
   538
        | itr (a::l) = f(a, itr l)
wenzelm@233
   539
  in  itr l  end;
wenzelm@233
   540
wenzelm@233
   541
(*  (op @) [x1, ..., xn]  ===>   x1 @ (x2 ... @ (x[n-1] @ xn))
wenzelm@233
   542
    for n > 0, operators that associate to the right (not tail recursive)*)
paulson@20443
   543
fun foldr1 f [] = raise Empty
wenzelm@20510
   544
  | foldr1 f l =
paulson@20443
   545
      let fun itr [x] = x
wenzelm@20510
   546
            | itr (x::l) = f(x, itr l)
paulson@20443
   547
      in  itr l  end;
wenzelm@233
   548
haftmann@18050
   549
fun fold_index f =
haftmann@18050
   550
  let
haftmann@18514
   551
    fun fold_aux _ [] y = y
haftmann@18050
   552
      | fold_aux i (x :: xs) y = fold_aux (i+1) xs (f (i, x) y);
haftmann@18050
   553
  in fold_aux 0 end;
wenzelm@14792
   554
wenzelm@16705
   555
fun foldl_map f =
wenzelm@16705
   556
  let
wenzelm@16705
   557
    fun fold_aux (x, []) = (x, [])
wenzelm@16705
   558
      | fold_aux (x, y :: ys) =
wenzelm@16705
   559
          let
wenzelm@16705
   560
            val (x', y') = f (x, y);
wenzelm@16705
   561
            val (x'', ys') = fold_aux (x', ys);
wenzelm@16705
   562
          in (x'', y' :: ys') end;
wenzelm@16705
   563
  in fold_aux end;
wenzelm@16705
   564
wenzelm@233
   565
wenzelm@233
   566
(* basic list functions *)
wenzelm@233
   567
wenzelm@20510
   568
fun eq_list eq (list1, list2) =
haftmann@20348
   569
  let
wenzelm@20510
   570
    fun eq_lst (x :: xs, y :: ys) = eq (x, y) andalso eq_lst (xs, ys)
wenzelm@20510
   571
      | eq_lst _ = true;
wenzelm@20510
   572
  in length list1 = length list2 andalso eq_lst (list1, list2) end;
haftmann@20348
   573
wenzelm@19483
   574
fun maps f [] = []
wenzelm@19483
   575
  | maps f (x :: xs) = f x @ maps f xs;
wenzelm@19483
   576
wenzelm@19011
   577
fun chop 0 xs = ([], xs)
wenzelm@19011
   578
  | chop _ [] = ([], [])
wenzelm@19011
   579
  | chop n (x :: xs) = chop (n - 1) xs |>> cons x;
wenzelm@19011
   580
wenzelm@233
   581
(*take the first n elements from a list*)
wenzelm@233
   582
fun take (n, []) = []
wenzelm@233
   583
  | take (n, x :: xs) =
wenzelm@233
   584
      if n > 0 then x :: take (n - 1, xs) else [];
wenzelm@233
   585
wenzelm@233
   586
(*drop the first n elements from a list*)
wenzelm@233
   587
fun drop (n, []) = []
wenzelm@233
   588
  | drop (n, x :: xs) =
wenzelm@233
   589
      if n > 0 then drop (n - 1, xs) else x :: xs;
clasohm@0
   590
nipkow@4713
   591
fun dropwhile P [] = []
nipkow@4713
   592
  | dropwhile P (ys as x::xs) = if P x then dropwhile P xs else ys;
nipkow@4713
   593
wenzelm@233
   594
(*return nth element of a list, where 0 designates the first element;
wenzelm@18461
   595
  raise Subscript if list too short*)
haftmann@18011
   596
fun nth xs i = List.nth (xs, i);
wenzelm@233
   597
wenzelm@18461
   598
fun nth_list xss i = nth xss i handle Subscript => [];
wenzelm@18461
   599
haftmann@18011
   600
(*update nth element*)
haftmann@18011
   601
fun nth_update (n, x) xs =
wenzelm@19474
   602
  (case chop n xs of
wenzelm@19474
   603
    (_, []) => raise Subscript
wenzelm@19474
   604
  | (prfx, _ :: sffx') => prfx @ (x :: sffx'));
haftmann@18011
   605
haftmann@18011
   606
fun nth_map 0 f (x :: xs) = f x :: xs
haftmann@18011
   607
  | nth_map n f (x :: xs) = x :: nth_map (n - 1) f xs
haftmann@18011
   608
  | nth_map _ _ [] = raise Subscript;
wenzelm@11773
   609
haftmann@18514
   610
fun map_index f =
haftmann@18514
   611
  let
haftmann@18514
   612
    fun mapp _ [] = []
haftmann@18514
   613
      | mapp i (x :: xs) = f (i, x) :: mapp (i+1) xs
haftmann@18514
   614
  in mapp 0 end;
haftmann@18514
   615
skalberg@15570
   616
val last_elem = List.last;
wenzelm@233
   617
wenzelm@3762
   618
(*rear decomposition*)
skalberg@15570
   619
fun split_last [] = raise Empty
wenzelm@3762
   620
  | split_last [x] = ([], x)
wenzelm@3762
   621
  | split_last (x :: xs) = apfst (cons x) (split_last xs);
wenzelm@3762
   622
wenzelm@4212
   623
(*find the position of an element in a list*)
wenzelm@4212
   624
fun find_index pred =
wenzelm@4212
   625
  let fun find _ [] = ~1
wenzelm@4212
   626
        | find n (x :: xs) = if pred x then n else find (n + 1) xs;
wenzelm@4212
   627
  in find 0 end;
wenzelm@3762
   628
wenzelm@4224
   629
fun find_index_eq x = find_index (equal x);
wenzelm@4212
   630
wenzelm@4212
   631
(*find first element satisfying predicate*)
skalberg@15531
   632
fun find_first _ [] = NONE
wenzelm@4212
   633
  | find_first pred (x :: xs) =
skalberg@15531
   634
      if pred x then SOME x else find_first pred xs;
wenzelm@233
   635
wenzelm@4916
   636
(*get first element by lookup function*)
skalberg@15531
   637
fun get_first _ [] = NONE
wenzelm@4916
   638
  | get_first f (x :: xs) =
wenzelm@4916
   639
      (case f x of
skalberg@15531
   640
        NONE => get_first f xs
wenzelm@4916
   641
      | some => some);
wenzelm@4916
   642
haftmann@19233
   643
fun get_index f =
haftmann@19233
   644
  let
haftmann@19233
   645
    fun get _ [] = NONE
wenzelm@19461
   646
      | get i (x :: xs) =
haftmann@19233
   647
          case f x
wenzelm@19461
   648
           of NONE => get (i + 1) xs
haftmann@19233
   649
            | SOME y => SOME (i, y)
haftmann@19233
   650
  in get 0 end;
haftmann@19233
   651
skalberg@15531
   652
val flat = List.concat;
wenzelm@233
   653
wenzelm@12136
   654
fun unflat (xs :: xss) ys =
wenzelm@19424
   655
      let val (ps, qs) = chop (length xs) ys
nipkow@13629
   656
      in ps :: unflat xss qs end
wenzelm@12136
   657
  | unflat [] [] = []
skalberg@15570
   658
  | unflat _ _ = raise UnequalLengths;
wenzelm@12136
   659
haftmann@18441
   660
fun burrow f xss =
haftmann@18359
   661
  unflat xss ((f o flat) xss);
haftmann@18359
   662
haftmann@18549
   663
fun fold_burrow f xss s =
haftmann@18549
   664
  apfst (unflat xss) (f (flat xss) s);
haftmann@18359
   665
wenzelm@233
   666
(*like Lisp's MAPC -- seq proc [x1, ..., xn] evaluates
wenzelm@233
   667
  (proc x1; ...; proc xn) for side effects*)
skalberg@15570
   668
val seq = List.app;
wenzelm@233
   669
wenzelm@233
   670
(*separate s [x1, x2, ..., xn]  ===>  [x1, s, x2, s, ..., s, xn]*)
wenzelm@233
   671
fun separate s (x :: (xs as _ :: _)) = x :: s :: separate s xs
wenzelm@233
   672
  | separate _ xs = xs;
wenzelm@233
   673
wenzelm@233
   674
(*make the list [x, x, ..., x] of length n*)
wenzelm@233
   675
fun replicate n (x: 'a) : 'a list =
wenzelm@233
   676
  let fun rep (0, xs) = xs
wenzelm@233
   677
        | rep (n, xs) = rep (n - 1, x :: xs)
wenzelm@233
   678
  in
skalberg@15570
   679
    if n < 0 then raise Subscript
wenzelm@233
   680
    else rep (n, [])
wenzelm@233
   681
  end;
wenzelm@233
   682
wenzelm@14926
   683
fun translate_string f = String.translate (f o String.str);
wenzelm@14926
   684
wenzelm@4248
   685
(*multiply [a, b, c, ...] * [xs, ys, zs, ...]*)
wenzelm@18148
   686
fun multiply [] _ = []
wenzelm@18148
   687
  | multiply (x :: xs) yss = map (cons x) yss @ multiply xs yss;
wenzelm@4248
   688
wenzelm@14792
   689
(*direct product*)
wenzelm@14792
   690
fun product _ [] = []
wenzelm@14792
   691
  | product [] _ = []
wenzelm@14792
   692
  | product (x :: xs) ys = map (pair x) ys @ product xs ys;
wenzelm@14792
   693
wenzelm@233
   694
wenzelm@233
   695
(* filter *)
wenzelm@233
   696
wenzelm@233
   697
(*copy the list preserving elements that satisfy the predicate*)
skalberg@15531
   698
val filter = List.filter;
clasohm@0
   699
fun filter_out f = filter (not o f);
wenzelm@19483
   700
val map_filter = List.mapPartial;
wenzelm@233
   701
wenzelm@233
   702
wenzelm@233
   703
(* lists of pairs *)
wenzelm@233
   704
skalberg@15570
   705
exception UnequalLengths;
skalberg@15570
   706
haftmann@18330
   707
fun map2 _ [] [] = []
haftmann@18330
   708
  | map2 f (x :: xs) (y :: ys) = f x y :: map2 f xs ys
haftmann@18330
   709
  | map2 _ _ _ = raise UnequalLengths;
wenzelm@380
   710
haftmann@18330
   711
fun fold2 f =
haftmann@18330
   712
  let
haftmann@18330
   713
    fun fold_aux [] [] z = z
haftmann@18330
   714
      | fold_aux (x :: xs) (y :: ys) z = fold_aux xs ys (f x y z)
haftmann@18330
   715
      | fold_aux _ _ _ = raise UnequalLengths;
haftmann@18330
   716
  in fold_aux end;
wenzelm@380
   717
wenzelm@19799
   718
fun zip_options (x :: xs) (SOME y :: ys) = (x, y) :: zip_options xs ys
wenzelm@19799
   719
  | zip_options (_ :: xs) (NONE :: ys) = zip_options xs ys
wenzelm@19799
   720
  | zip_options _ [] = []
wenzelm@19799
   721
  | zip_options [] _ = raise UnequalLengths;
wenzelm@4956
   722
wenzelm@233
   723
(*combine two lists forming a list of pairs:
wenzelm@233
   724
  [x1, ..., xn] ~~ [y1, ..., yn]  ===>  [(x1, y1), ..., (xn, yn)]*)
wenzelm@233
   725
fun [] ~~ [] = []
wenzelm@233
   726
  | (x :: xs) ~~ (y :: ys) = (x, y) :: (xs ~~ ys)
skalberg@15570
   727
  | _ ~~ _ = raise UnequalLengths;
wenzelm@233
   728
wenzelm@233
   729
(*inverse of ~~; the old 'split':
wenzelm@233
   730
  [(x1, y1), ..., (xn, yn)]  ===>  ([x1, ..., xn], [y1, ..., yn])*)
skalberg@15570
   731
val split_list = ListPair.unzip;
wenzelm@233
   732
wenzelm@233
   733
wenzelm@233
   734
(* prefixes, suffixes *)
wenzelm@233
   735
haftmann@18441
   736
fun is_prefix _ [] _ = true
haftmann@18441
   737
  | is_prefix eq (x :: xs) (y :: ys) = eq (x, y) andalso is_prefix eq xs ys
haftmann@18441
   738
  | is_prefix eq _ _ = false;
wenzelm@233
   739
wenzelm@233
   740
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., x(i-1)], [xi, ..., xn])
wenzelm@233
   741
   where xi is the first element that does not satisfy the predicate*)
wenzelm@233
   742
fun take_prefix (pred : 'a -> bool)  (xs: 'a list) : 'a list * 'a list =
wenzelm@233
   743
  let fun take (rxs, []) = (rev rxs, [])
wenzelm@255
   744
        | take (rxs, x :: xs) =
wenzelm@255
   745
            if  pred x  then  take(x :: rxs, xs)  else  (rev rxs, x :: xs)
wenzelm@233
   746
  in  take([], xs)  end;
wenzelm@233
   747
haftmann@20108
   748
fun chop_prefix eq ([], ys) = ([], ([], ys))
haftmann@20108
   749
  | chop_prefix eq (xs, []) = ([], (xs, []))
haftmann@20108
   750
  | chop_prefix eq (xs as x::xs', ys as y::ys') =
haftmann@20108
   751
      if eq (x, y) then
haftmann@20108
   752
        let val (ps', xys'') = chop_prefix eq (xs', ys')
haftmann@20108
   753
        in (x::ps', xys'') end
haftmann@20108
   754
      else ([], (xs, ys));
haftmann@20108
   755
wenzelm@233
   756
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., xi], [x(i+1), ..., xn])
wenzelm@233
   757
   where xi is the last element that does not satisfy the predicate*)
wenzelm@233
   758
fun take_suffix _ [] = ([], [])
wenzelm@233
   759
  | take_suffix pred (x :: xs) =
wenzelm@233
   760
      (case take_suffix pred xs of
wenzelm@233
   761
        ([], sffx) => if pred x then ([], x :: sffx) else ([x], sffx)
wenzelm@233
   762
      | (prfx, sffx) => (x :: prfx, sffx));
wenzelm@233
   763
wenzelm@12249
   764
fun prefixes1 [] = []
wenzelm@12249
   765
  | prefixes1 (x :: xs) = map (cons x) ([] :: prefixes1 xs);
wenzelm@12249
   766
wenzelm@19011
   767
fun prefixes xs = [] :: prefixes1 xs;
wenzelm@19011
   768
wenzelm@12249
   769
fun suffixes1 xs = map rev (prefixes1 (rev xs));
wenzelm@19011
   770
fun suffixes xs = [] :: suffixes1 xs;
wenzelm@233
   771
wenzelm@233
   772
wenzelm@233
   773
(** integers **)
wenzelm@233
   774
wenzelm@16439
   775
fun gcd (x, y) =
paulson@15965
   776
  let fun gxd x y : IntInf.int =
nipkow@10692
   777
    if y = 0 then x else gxd y (x mod y)
nipkow@10692
   778
  in if x < y then gxd y x else gxd x y end;
nipkow@10692
   779
wenzelm@16439
   780
fun lcm (x, y) = (x * y) div gcd (x, y);
nipkow@10692
   781
wenzelm@2958
   782
fun inc i = (i := ! i + 1; ! i);
wenzelm@2958
   783
fun dec i = (i := ! i - 1; ! i);
wenzelm@233
   784
wenzelm@233
   785
wenzelm@233
   786
(* lists of integers *)
wenzelm@233
   787
wenzelm@233
   788
(*make the list [from, from + 1, ..., to]*)
paulson@2175
   789
fun (from upto to) =
wenzelm@233
   790
  if from > to then [] else from :: ((from + 1) upto to);
wenzelm@233
   791
wenzelm@233
   792
(*make the list [from, from - 1, ..., to]*)
paulson@2175
   793
fun (from downto to) =
wenzelm@233
   794
  if from < to then [] else from :: ((from - 1) downto to);
wenzelm@233
   795
wenzelm@233
   796
(*predicate: downto0 (is, n) <=> is = [n, n - 1, ..., 0]*)
wenzelm@233
   797
fun downto0 (i :: is, n) = i = n andalso downto0 (is, n - 1)
wenzelm@233
   798
  | downto0 ([], n) = n = ~1;
wenzelm@233
   799
wenzelm@233
   800
wenzelm@233
   801
(* convert integers to strings *)
wenzelm@233
   802
wenzelm@233
   803
(*expand the number in the given base;
wenzelm@233
   804
  example: radixpand (2, 8) gives [1, 0, 0, 0]*)
wenzelm@233
   805
fun radixpand (base, num) : int list =
wenzelm@233
   806
  let
wenzelm@233
   807
    fun radix (n, tail) =
wenzelm@233
   808
      if n < base then n :: tail
wenzelm@233
   809
      else radix (n div base, (n mod base) :: tail)
wenzelm@233
   810
  in radix (num, []) end;
wenzelm@233
   811
wenzelm@233
   812
(*expands a number into a string of characters starting from "zerochar";
wenzelm@233
   813
  example: radixstring (2, "0", 8) gives "1000"*)
wenzelm@233
   814
fun radixstring (base, zerochar, num) =
wenzelm@233
   815
  let val offset = ord zerochar;
wenzelm@233
   816
      fun chrof n = chr (offset + n)
wenzelm@233
   817
  in implode (map chrof (radixpand (base, num))) end;
wenzelm@233
   818
wenzelm@233
   819
paulson@3407
   820
val string_of_int = Int.toString;
wenzelm@233
   821
paulson@3407
   822
fun string_of_indexname (a,0) = a
paulson@3407
   823
  | string_of_indexname (a,i) = a ^ "_" ^ Int.toString i;
wenzelm@233
   824
wenzelm@233
   825
wenzelm@14826
   826
(* read integers *)
wenzelm@14826
   827
wenzelm@20095
   828
fun read_intinf radix cs =
wenzelm@20095
   829
  let
wenzelm@20095
   830
    val zero = ord "0";
wenzelm@20095
   831
    val limit = zero + radix;
wenzelm@20095
   832
    fun scan (num, []) = (num, [])
wenzelm@20095
   833
      | scan (num, c :: cs) =
wenzelm@20095
   834
        if zero <= ord c andalso ord c < limit then
wenzelm@20095
   835
          scan (IntInf.fromInt radix * num + IntInf.fromInt (ord c - zero), cs)
wenzelm@20095
   836
        else (num, c :: cs);
wenzelm@20095
   837
  in scan (0, cs) end;
wenzelm@14826
   838
wenzelm@20095
   839
fun read_int cs = apfst IntInf.toInt (read_intinf 10 cs);
wenzelm@14826
   840
wenzelm@20095
   841
fun oct_char s = chr (IntInf.toInt (#1 (read_intinf 8 (explode s))));
wenzelm@14826
   842
wenzelm@14826
   843
wenzelm@14826
   844
wenzelm@233
   845
(** strings **)
wenzelm@233
   846
wenzelm@16188
   847
(* functions tuned for strings, avoiding explode *)
wenzelm@6312
   848
haftmann@18011
   849
fun nth_string str i =
wenzelm@6959
   850
  (case try String.substring (str, i, 1) of
skalberg@15531
   851
    SOME s => s
skalberg@15570
   852
  | NONE => raise Subscript);
wenzelm@6312
   853
wenzelm@16188
   854
fun fold_string f str x0 =
wenzelm@6282
   855
  let
wenzelm@6282
   856
    val n = size str;
wenzelm@16188
   857
    fun iter (x, i) =
wenzelm@16188
   858
      if i < n then iter (f (String.substring (str, i, 1)) x, i + 1) else x;
wenzelm@16188
   859
  in iter (x0, 0) end;
wenzelm@6282
   860
wenzelm@14968
   861
fun exists_string pred str =
wenzelm@14968
   862
  let
wenzelm@14968
   863
    val n = size str;
wenzelm@14968
   864
    fun ex i = i < n andalso (pred (String.substring (str, i, 1)) orelse ex (i + 1));
wenzelm@14968
   865
  in ex 0 end;
wenzelm@6312
   866
wenzelm@16188
   867
fun forall_string pred = not o exists_string (not o pred);
wenzelm@16188
   868
lcp@512
   869
(*enclose in brackets*)
lcp@512
   870
fun enclose lpar rpar str = lpar ^ str ^ rpar;
wenzelm@6642
   871
fun unenclose str = String.substring (str, 1, size str - 2);
wenzelm@255
   872
wenzelm@233
   873
(*simple quoting (does not escape special chars)*)
lcp@512
   874
val quote = enclose "\"" "\"";
wenzelm@233
   875
wenzelm@4212
   876
(*space_implode "..." (explode "hello") = "h...e...l...l...o"*)
wenzelm@233
   877
fun space_implode a bs = implode (separate a bs);
wenzelm@233
   878
wenzelm@255
   879
val commas = space_implode ", ";
wenzelm@380
   880
val commas_quote = commas o map quote;
wenzelm@255
   881
wenzelm@233
   882
(*concatenate messages, one per line, into a string*)
wenzelm@255
   883
val cat_lines = space_implode "\n";
wenzelm@233
   884
wenzelm@4212
   885
(*space_explode "." "h.e..l.lo" = ["h", "e", "", "l", "lo"]*)
wenzelm@3832
   886
fun space_explode _ "" = []
wenzelm@3832
   887
  | space_explode sep str =
wenzelm@3832
   888
      let
wenzelm@3832
   889
        fun expl chs =
wenzelm@19301
   890
          (case take_prefix (fn s => s <> sep) chs of
wenzelm@3832
   891
            (cs, []) => [implode cs]
wenzelm@3832
   892
          | (cs, _ :: cs') => implode cs :: expl cs');
wenzelm@3832
   893
      in expl (explode str) end;
wenzelm@3832
   894
wenzelm@3832
   895
val split_lines = space_explode "\n";
wenzelm@3832
   896
wenzelm@14826
   897
fun prefix_lines "" txt = txt
wenzelm@14826
   898
  | prefix_lines prfx txt = txt |> split_lines |> map (fn s => prfx ^ s) |> cat_lines;
wenzelm@14826
   899
wenzelm@7712
   900
fun untabify chs =
wenzelm@7712
   901
  let
wenzelm@7712
   902
    val tab_width = 8;
wenzelm@7712
   903
wenzelm@7712
   904
    fun untab (_, "\n") = (0, ["\n"])
wenzelm@9118
   905
      | untab (pos, "\t") =
wenzelm@9118
   906
          let val d = tab_width - (pos mod tab_width) in (pos + d, replicate d " ") end
wenzelm@7712
   907
      | untab (pos, c) = (pos + 1, [c]);
wenzelm@7712
   908
  in
wenzelm@19301
   909
    if not (exists (fn c => c = "\t") chs) then chs
wenzelm@7712
   910
    else flat (#2 (foldl_map untab (0, chs)))
wenzelm@7712
   911
  end;
wenzelm@7712
   912
wenzelm@18681
   913
fun prefix prfx s = prfx ^ s;
wenzelm@16188
   914
fun suffix sffx s = s ^ sffx;
wenzelm@5285
   915
wenzelm@18681
   916
fun unprefix prfx s =
wenzelm@18681
   917
  if String.isPrefix prfx s then String.substring (s, size prfx, size s - size prfx)
wenzelm@18681
   918
  else raise Fail "unprefix";
wenzelm@18681
   919
wenzelm@16188
   920
fun unsuffix sffx s =
wenzelm@17061
   921
  if String.isSuffix sffx s then String.substring (s, 0, size s - size sffx)
wenzelm@17061
   922
  else raise Fail "unsuffix";
wenzelm@5285
   923
wenzelm@10951
   924
fun replicate_string 0 _ = ""
wenzelm@10951
   925
  | replicate_string 1 a = a
wenzelm@10951
   926
  | replicate_string k a =
wenzelm@10951
   927
      if k mod 2 = 0 then replicate_string (k div 2) (a ^ a)
wenzelm@10951
   928
      else replicate_string (k div 2) (a ^ a) ^ a;
wenzelm@10951
   929
wenzelm@19644
   930
fun string_of_list f = enclose "[" "]" o commas o map f;
wenzelm@19644
   931
wenzelm@19644
   932
fun string_of_option f NONE = "NONE"
wenzelm@19644
   933
  | string_of_option f (SOME x) = "SOME (" ^ f x ^ ")";
wenzelm@19644
   934
wenzelm@3832
   935
wenzelm@233
   936
wenzelm@16492
   937
(** lists as sets -- see also Pure/General/ord_list.ML **)
wenzelm@233
   938
wenzelm@18923
   939
(*canonical member, insert, remove*)
wenzelm@18923
   940
fun member eq list x =
wenzelm@18923
   941
  let
wenzelm@18923
   942
    fun memb [] = false
wenzelm@18923
   943
      | memb (y :: ys) = eq (x, y) orelse memb ys;
wenzelm@18923
   944
  in memb list end;
berghofe@1576
   945
wenzelm@18923
   946
fun insert eq x xs = if member eq xs x then xs else x :: xs;
wenzelm@18923
   947
fun remove eq x xs = if member eq xs x then filter_out (fn y => eq (x, y)) xs else xs;
wenzelm@233
   948
wenzelm@19301
   949
fun subtract eq = fold (remove eq);
wenzelm@19301
   950
wenzelm@18923
   951
fun merge _ ([], ys) = ys
wenzelm@18923
   952
  | merge eq (xs, ys) = fold_rev (insert eq) ys xs;
clasohm@0
   953
wenzelm@18923
   954
(*old-style infixes*)
wenzelm@18923
   955
fun x mem xs = member (op =) xs x;
wenzelm@18923
   956
fun (x: int) mem_int xs = member (op =) xs x;
wenzelm@18923
   957
fun (x: string) mem_string xs = member (op =) xs x;
berghofe@1576
   958
wenzelm@233
   959
wenzelm@233
   960
(*union of sets represented as lists: no repetitions*)
wenzelm@233
   961
fun xs union [] = xs
wenzelm@233
   962
  | [] union ys = ys
haftmann@20854
   963
  | (x :: xs) union ys = xs union (insert (op =) x ys);
clasohm@0
   964
paulson@2175
   965
(*union of sets, optimized version for ints*)
berghofe@1576
   966
fun (xs:int list) union_int [] = xs
berghofe@1576
   967
  | [] union_int ys = ys
haftmann@20854
   968
  | (x :: xs) union_int ys = xs union_int (insert (op =) x ys);
berghofe@1576
   969
paulson@2175
   970
(*union of sets, optimized version for strings*)
berghofe@1576
   971
fun (xs:string list) union_string [] = xs
berghofe@1576
   972
  | [] union_string ys = ys
haftmann@20854
   973
  | (x :: xs) union_string ys = xs union_string (insert (op =) x ys);
berghofe@1576
   974
clasohm@0
   975
(*generalized union*)
wenzelm@233
   976
fun gen_union eq (xs, []) = xs
wenzelm@233
   977
  | gen_union eq ([], ys) = ys
wenzelm@18923
   978
  | gen_union eq (x :: xs, ys) = gen_union eq (xs, insert eq x ys);
wenzelm@233
   979
wenzelm@233
   980
wenzelm@233
   981
(*intersection*)
wenzelm@233
   982
fun [] inter ys = []
wenzelm@233
   983
  | (x :: xs) inter ys =
wenzelm@233
   984
      if x mem ys then x :: (xs inter ys) else xs inter ys;
wenzelm@233
   985
paulson@2175
   986
(*intersection, optimized version for ints*)
berghofe@1576
   987
fun ([]:int list) inter_int ys = []
berghofe@1576
   988
  | (x :: xs) inter_int ys =
berghofe@1576
   989
      if x mem_int ys then x :: (xs inter_int ys) else xs inter_int ys;
berghofe@1576
   990
paulson@2175
   991
(*intersection, optimized version for strings *)
berghofe@1576
   992
fun ([]:string list) inter_string ys = []
berghofe@1576
   993
  | (x :: xs) inter_string ys =
berghofe@1576
   994
      if x mem_string ys then x :: (xs inter_string ys) else xs inter_string ys;
berghofe@1576
   995
paulson@7090
   996
(*generalized intersection*)
paulson@7090
   997
fun gen_inter eq ([], ys) = []
wenzelm@12284
   998
  | gen_inter eq (x::xs, ys) =
wenzelm@18923
   999
      if member eq ys x then x :: gen_inter eq (xs, ys)
wenzelm@18923
  1000
      else gen_inter eq (xs, ys);
paulson@7090
  1001
wenzelm@233
  1002
wenzelm@233
  1003
(*subset*)
wenzelm@233
  1004
fun [] subset ys = true
wenzelm@233
  1005
  | (x :: xs) subset ys = x mem ys andalso xs subset ys;
wenzelm@233
  1006
paulson@2175
  1007
(*subset, optimized version for ints*)
wenzelm@16439
  1008
fun ([]: int list) subset_int ys = true
berghofe@1576
  1009
  | (x :: xs) subset_int ys = x mem_int ys andalso xs subset_int ys;
berghofe@1576
  1010
paulson@2175
  1011
(*subset, optimized version for strings*)
wenzelm@16439
  1012
fun ([]: string list) subset_string ys = true
berghofe@1576
  1013
  | (x :: xs) subset_string ys = x mem_string ys andalso xs subset_string ys;
berghofe@1576
  1014
wenzelm@4363
  1015
(*set equality*)
wenzelm@4363
  1016
fun eq_set (xs, ys) =
wenzelm@4363
  1017
  xs = ys orelse (xs subset ys andalso ys subset xs);
wenzelm@4363
  1018
paulson@2182
  1019
(*set equality for strings*)
wenzelm@16439
  1020
fun eq_set_string ((xs: string list), ys) =
berghofe@1576
  1021
  xs = ys orelse (xs subset_string ys andalso ys subset_string xs);
berghofe@1576
  1022
wenzelm@18923
  1023
fun gen_subset eq (xs, ys) = forall (member eq ys) xs;
paulson@2182
  1024
wenzelm@19301
  1025
fun gen_eq_set eq (xs, ys) =
haftmann@20348
  1026
  eq_list eq (xs, ys) orelse
wenzelm@19301
  1027
    (gen_subset eq (xs, ys) andalso gen_subset (eq o swap) (ys, xs));
wenzelm@19301
  1028
wenzelm@265
  1029
wenzelm@233
  1030
(*removing an element from a list WITHOUT duplicates*)
wenzelm@233
  1031
fun (y :: ys) \ x = if x = y then ys else y :: (ys \ x)
wenzelm@233
  1032
  | [] \ x = [];
wenzelm@233
  1033
paulson@2243
  1034
fun ys \\ xs = foldl (op \) (ys,xs);
clasohm@0
  1035
wenzelm@233
  1036
(*removing an element from a list -- possibly WITH duplicates*)
wenzelm@233
  1037
fun gen_rem eq (xs, y) = filter_out (fn x => eq (x, y)) xs;
wenzelm@18923
  1038
fun gen_rems eq (xs, ys) = filter_out (member eq ys) xs;
wenzelm@233
  1039
wenzelm@19046
  1040
(*returns the tail beginning with the first repeated element, or []*)
wenzelm@19046
  1041
fun findrep [] = []
wenzelm@19046
  1042
  | findrep (x :: xs) = if x mem xs then x :: xs else findrep xs;
wenzelm@19046
  1043
wenzelm@19046
  1044
wenzelm@233
  1045
(*makes a list of the distinct members of the input; preserves order, takes
wenzelm@233
  1046
  first of equal elements*)
wenzelm@19046
  1047
fun distinct eq lst =
wenzelm@233
  1048
  let
wenzelm@233
  1049
    fun dist (rev_seen, []) = rev rev_seen
wenzelm@233
  1050
      | dist (rev_seen, x :: xs) =
wenzelm@18923
  1051
          if member eq rev_seen x then dist (rev_seen, xs)
wenzelm@233
  1052
          else dist (x :: rev_seen, xs);
wenzelm@19046
  1053
  in dist ([], lst) end;
wenzelm@233
  1054
wenzelm@255
  1055
(*returns a list containing all repeated elements exactly once; preserves
wenzelm@255
  1056
  order, takes first of equal elements*)
wenzelm@18966
  1057
fun duplicates eq lst =
wenzelm@255
  1058
  let
wenzelm@255
  1059
    fun dups (rev_dups, []) = rev rev_dups
wenzelm@255
  1060
      | dups (rev_dups, x :: xs) =
wenzelm@18923
  1061
          if member eq rev_dups x orelse not (member eq xs x) then
wenzelm@255
  1062
            dups (rev_dups, xs)
wenzelm@255
  1063
          else dups (x :: rev_dups, xs);
wenzelm@18966
  1064
  in dups ([], lst) end;
wenzelm@255
  1065
wenzelm@16878
  1066
fun has_duplicates eq =
wenzelm@16878
  1067
  let
wenzelm@16878
  1068
    fun dups [] = false
wenzelm@16878
  1069
      | dups (x :: xs) = member eq xs x orelse dups xs;
wenzelm@16878
  1070
  in dups end;
wenzelm@16878
  1071
wenzelm@255
  1072
haftmann@19119
  1073
(** association lists -- legacy operations **)
wenzelm@233
  1074
wenzelm@12284
  1075
fun gen_merge_lists _ xs [] = xs
wenzelm@12284
  1076
  | gen_merge_lists _ [] ys = ys
wenzelm@12284
  1077
  | gen_merge_lists eq xs ys = xs @ gen_rems eq (ys, xs);
clasohm@0
  1078
wenzelm@12284
  1079
fun merge_lists xs ys = gen_merge_lists (op =) xs ys;
haftmann@17498
  1080
fun merge_alists al = gen_merge_lists (eq_fst (op =)) al;
clasohm@0
  1081
clasohm@0
  1082
wenzelm@233
  1083
(** balanced trees **)
wenzelm@233
  1084
wenzelm@233
  1085
exception Balance;      (*indicates non-positive argument to balancing fun*)
wenzelm@233
  1086
wenzelm@233
  1087
(*balanced folding; avoids deep nesting*)
wenzelm@233
  1088
fun fold_bal f [x] = x
wenzelm@233
  1089
  | fold_bal f [] = raise Balance
wenzelm@233
  1090
  | fold_bal f xs =
wenzelm@19474
  1091
      let val (ps, qs) = chop (length xs div 2) xs
nipkow@13629
  1092
      in  f (fold_bal f ps, fold_bal f qs)  end;
wenzelm@233
  1093
wenzelm@233
  1094
(*construct something of the form f(...g(...(x)...)) for balanced access*)
wenzelm@233
  1095
fun access_bal (f, g, x) n i =
wenzelm@233
  1096
  let fun acc n i =     (*1<=i<=n*)
wenzelm@233
  1097
          if n=1 then x else
wenzelm@233
  1098
          let val n2 = n div 2
wenzelm@233
  1099
          in  if i<=n2 then f (acc n2 i)
wenzelm@233
  1100
                       else g (acc (n-n2) (i-n2))
wenzelm@233
  1101
          end
wenzelm@233
  1102
  in  if 1<=i andalso i<=n then acc n i else raise Balance  end;
wenzelm@233
  1103
wenzelm@233
  1104
(*construct ALL such accesses; could try harder to share recursive calls!*)
wenzelm@233
  1105
fun accesses_bal (f, g, x) n =
wenzelm@233
  1106
  let fun acc n =
wenzelm@233
  1107
          if n=1 then [x] else
wenzelm@233
  1108
          let val n2 = n div 2
wenzelm@233
  1109
              val acc2 = acc n2
wenzelm@233
  1110
          in  if n-n2=n2 then map f acc2 @ map g acc2
wenzelm@233
  1111
                         else map f acc2 @ map g (acc (n-n2)) end
wenzelm@233
  1112
  in  if 1<=n then acc n else raise Balance  end;
wenzelm@233
  1113
wenzelm@233
  1114
wenzelm@233
  1115
wenzelm@2506
  1116
(** orders **)
wenzelm@2506
  1117
wenzelm@18966
  1118
fun is_equal EQUAL = true
wenzelm@18966
  1119
  | is_equal _ = false;
wenzelm@18966
  1120
wenzelm@4445
  1121
fun rev_order LESS = GREATER
wenzelm@4445
  1122
  | rev_order EQUAL = EQUAL
wenzelm@4445
  1123
  | rev_order GREATER = LESS;
wenzelm@4445
  1124
wenzelm@4479
  1125
(*assume rel is a linear strict order*)
wenzelm@4445
  1126
fun make_ord rel (x, y) =
wenzelm@4445
  1127
  if rel (x, y) then LESS
wenzelm@4445
  1128
  else if rel (y, x) then GREATER
wenzelm@4445
  1129
  else EQUAL;
wenzelm@4445
  1130
wenzelm@15051
  1131
val int_ord = Int.compare;
wenzelm@15051
  1132
val string_ord = String.compare;
wenzelm@2506
  1133
wenzelm@16676
  1134
fun fast_string_ord (s1, s2) =
wenzelm@16676
  1135
  (case int_ord (size s1, size s2) of EQUAL => string_ord (s1, s2) | ord => ord);
wenzelm@16676
  1136
wenzelm@16492
  1137
fun option_ord ord (SOME x, SOME y) = ord (x, y)
wenzelm@16492
  1138
  | option_ord _ (NONE, NONE) = EQUAL
wenzelm@16492
  1139
  | option_ord _ (NONE, SOME _) = LESS
wenzelm@16492
  1140
  | option_ord _ (SOME _, NONE) = GREATER;
wenzelm@16492
  1141
wenzelm@4343
  1142
(*lexicographic product*)
wenzelm@4343
  1143
fun prod_ord a_ord b_ord ((x, y), (x', y')) =
wenzelm@4343
  1144
  (case a_ord (x, x') of EQUAL => b_ord (y, y') | ord => ord);
wenzelm@4343
  1145
wenzelm@4343
  1146
(*dictionary order -- in general NOT well-founded!*)
wenzelm@16984
  1147
fun dict_ord elem_ord (x :: xs, y :: ys) =
wenzelm@16984
  1148
      (case elem_ord (x, y) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord)
wenzelm@16984
  1149
  | dict_ord _ ([], []) = EQUAL
wenzelm@4343
  1150
  | dict_ord _ ([], _ :: _) = LESS
wenzelm@16984
  1151
  | dict_ord _ (_ :: _, []) = GREATER;
wenzelm@4343
  1152
wenzelm@4343
  1153
(*lexicographic product of lists*)
wenzelm@4343
  1154
fun list_ord elem_ord (xs, ys) =
wenzelm@16676
  1155
  (case int_ord (length xs, length ys) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord);
wenzelm@4343
  1156
wenzelm@2506
  1157
wenzelm@4621
  1158
(* sorting *)
wenzelm@4621
  1159
wenzelm@18427
  1160
(*quicksort -- stable, i.e. does not reorder equal elements*)
wenzelm@18427
  1161
fun quicksort unique ord =
wenzelm@4621
  1162
  let
wenzelm@16878
  1163
    fun qsort [] = []
wenzelm@16878
  1164
      | qsort (xs as [_]) = xs
wenzelm@18427
  1165
      | qsort (xs as [x, y]) =
wenzelm@18427
  1166
          (case ord (x, y) of
wenzelm@18427
  1167
            LESS => xs
wenzelm@18427
  1168
          | EQUAL => if unique then [x] else xs
wenzelm@18427
  1169
          | GREATER => [y, x])
wenzelm@16878
  1170
      | qsort xs =
haftmann@18011
  1171
          let val (lts, eqs, gts) = part (nth xs (length xs div 2)) xs
wenzelm@16878
  1172
          in qsort lts @ eqs @ qsort gts end
wenzelm@4621
  1173
    and part _ [] = ([], [], [])
wenzelm@4621
  1174
      | part pivot (x :: xs) = add (ord (x, pivot)) x (part pivot xs)
wenzelm@4621
  1175
    and add LESS x (lts, eqs, gts) = (x :: lts, eqs, gts)
wenzelm@18427
  1176
      | add EQUAL x (lts, [], gts) = (lts, [x], gts)
wenzelm@18427
  1177
      | add EQUAL x (res as (lts, eqs, gts)) = if unique then res else (lts, x :: eqs, gts)
wenzelm@4621
  1178
      | add GREATER x (lts, eqs, gts) = (lts, eqs, x :: gts);
wenzelm@4621
  1179
  in qsort end;
wenzelm@4621
  1180
wenzelm@18427
  1181
fun sort ord = quicksort false ord;
wenzelm@18427
  1182
fun sort_distinct ord = quicksort true ord;
wenzelm@18427
  1183
wenzelm@4621
  1184
val sort_strings = sort string_ord;
wenzelm@4621
  1185
fun sort_wrt sel xs = sort (string_ord o pairself sel) xs;
wenzelm@4621
  1186
wenzelm@4621
  1187
wenzelm@2506
  1188
berghofe@14106
  1189
(** random numbers **)
berghofe@14106
  1190
berghofe@14106
  1191
exception RANDOM;
berghofe@14106
  1192
berghofe@14618
  1193
fun rmod x y = x - y * Real.realFloor (x / y);
berghofe@14106
  1194
berghofe@14106
  1195
local
berghofe@14106
  1196
  val a = 16807.0;
berghofe@14106
  1197
  val m = 2147483647.0;
berghofe@14106
  1198
  val random_seed = ref 1.0;
berghofe@14106
  1199
in
berghofe@14106
  1200
berghofe@14106
  1201
fun random () =
berghofe@14106
  1202
  let val r = rmod (a * !random_seed) m
berghofe@14106
  1203
  in (random_seed := r; r) end;
berghofe@14106
  1204
berghofe@14106
  1205
end;
berghofe@14106
  1206
berghofe@14106
  1207
fun random_range l h =
berghofe@14106
  1208
  if h < l orelse l < 0 then raise RANDOM
berghofe@14106
  1209
  else l + Real.floor (rmod (random ()) (real (h - l + 1)));
berghofe@14106
  1210
haftmann@18011
  1211
fun one_of xs = nth xs (random_range 0 (length xs - 1));
berghofe@14106
  1212
berghofe@14106
  1213
fun frequency xs =
berghofe@14106
  1214
  let
berghofe@14106
  1215
    val sum = foldl op + (0, map fst xs);
wenzelm@17756
  1216
    fun pick n ((k: int, x) :: xs) =
berghofe@14106
  1217
      if n <= k then x else pick (n - k) xs
berghofe@14106
  1218
  in pick (random_range 1 sum) xs end;
berghofe@14106
  1219
berghofe@14106
  1220
wenzelm@14826
  1221
(** current directory **)
wenzelm@233
  1222
paulson@2243
  1223
val cd = OS.FileSys.chDir;
wenzelm@2317
  1224
val pwd = OS.FileSys.getDir;
paulson@2243
  1225
berghofe@3606
  1226
wenzelm@19644
  1227
wenzelm@4621
  1228
(** misc **)
wenzelm@233
  1229
wenzelm@19644
  1230
fun divide_and_conquer decomp x =
wenzelm@19644
  1231
  let val (ys, recomb) = decomp x
wenzelm@19644
  1232
  in recomb (map (divide_and_conquer decomp) ys) end;
wenzelm@19644
  1233
clasohm@0
  1234
wenzelm@233
  1235
(*Partition a list into buckets  [ bi, b(i+1), ..., bj ]
clasohm@0
  1236
   putting x in bk if p(k)(x) holds.  Preserve order of elements if possible.*)
clasohm@0
  1237
fun partition_list p i j =
wenzelm@233
  1238
  let fun part k xs =
wenzelm@233
  1239
            if k>j then
clasohm@0
  1240
              (case xs of [] => []
skalberg@15570
  1241
                         | _ => raise Fail "partition_list")
clasohm@0
  1242
            else
wenzelm@19691
  1243
            let val (ns, rest) = List.partition (p k) xs;
wenzelm@233
  1244
            in  ns :: part(k+1)rest  end
clasohm@0
  1245
  in  part i end;
clasohm@0
  1246
wenzelm@19691
  1247
fun partition_eq (eq:'a * 'a -> bool) =
wenzelm@19691
  1248
  let
wenzelm@19691
  1249
    fun part [] = []
wenzelm@19691
  1250
      | part (x :: ys) =
wenzelm@19691
  1251
          let val (xs, xs') = List.partition (fn y => eq (x, y)) ys
wenzelm@19691
  1252
          in (x::xs)::(part xs') end
wenzelm@19691
  1253
  in part end;
wenzelm@19691
  1254
wenzelm@19691
  1255
clasohm@0
  1256
wenzelm@233
  1257
(* generating identifiers *)
clasohm@0
  1258
paulson@4063
  1259
(** Freshly generated identifiers; supplied prefix MUST start with a letter **)
clasohm@0
  1260
local
paulson@4063
  1261
(*Maps 0-63 to A-Z, a-z, 0-9 or _ or ' for generating random identifiers*)
paulson@4063
  1262
fun char i =      if i<26 then chr (ord "A" + i)
wenzelm@5904
  1263
             else if i<52 then chr (ord "a" + i - 26)
wenzelm@5904
  1264
             else if i<62 then chr (ord"0" + i - 52)
wenzelm@5904
  1265
             else if i=62 then "_"
wenzelm@5904
  1266
             else  (*i=63*)    "'";
paulson@4063
  1267
paulson@4063
  1268
val charVec = Vector.tabulate (64, char);
paulson@4063
  1269
wenzelm@5904
  1270
fun newid n =
wenzelm@5904
  1271
  let
wenzelm@4284
  1272
  in  implode (map (fn i => Vector.sub(charVec,i)) (radixpand (64,n)))  end;
paulson@2003
  1273
wenzelm@4284
  1274
val seedr = ref 0;
clasohm@0
  1275
paulson@4063
  1276
in
wenzelm@4284
  1277
wenzelm@12346
  1278
fun gensym pre = pre ^ (#1(newid (!seedr), inc seedr));
paulson@2003
  1279
paulson@4063
  1280
end;
paulson@4063
  1281
paulson@4063
  1282
wenzelm@233
  1283
(* lexical scanning *)
clasohm@0
  1284
wenzelm@233
  1285
(*scan a list of characters into "words" composed of "letters" (recognized by
wenzelm@233
  1286
  is_let) and separated by any number of non-"letters"*)
wenzelm@233
  1287
fun scanwords is_let cs =
clasohm@0
  1288
  let fun scan1 [] = []
wenzelm@233
  1289
        | scan1 cs =
wenzelm@233
  1290
            let val (lets, rest) = take_prefix is_let cs
wenzelm@233
  1291
            in implode lets :: scanwords is_let rest end;
wenzelm@233
  1292
  in scan1 (#2 (take_prefix (not o is_let) cs)) end;
clasohm@24
  1293
wenzelm@4212
  1294
wenzelm@16439
  1295
(* stamps and serial numbers *)
wenzelm@16439
  1296
wenzelm@16439
  1297
type stamp = unit ref;
wenzelm@16439
  1298
val stamp: unit -> stamp = ref;
wenzelm@16439
  1299
wenzelm@16439
  1300
type serial = int;
wenzelm@16439
  1301
local val count = ref 0
wenzelm@16439
  1302
in fun serial () = inc count end;
wenzelm@16439
  1303
wenzelm@19512
  1304
val serial_string = string_of_int o serial;
wenzelm@19512
  1305
wenzelm@16535
  1306
wenzelm@16535
  1307
(* generic objects *)
wenzelm@16535
  1308
wenzelm@16535
  1309
(*note that the builtin exception datatype may be extended by new
wenzelm@16535
  1310
  constructors at any time*)
wenzelm@16535
  1311
structure Object = struct type T = exn end;
wenzelm@16535
  1312
clasohm@1364
  1313
end;
clasohm@1364
  1314
wenzelm@15745
  1315
structure BasicLibrary: BASIC_LIBRARY = Library;
wenzelm@15745
  1316
open BasicLibrary;