src/Pure/library.ML
author wenzelm
Sat, 21 Jan 2006 23:02:14 +0100
changeset 18728 6790126ab5f6
parent 18712 836520885b8f
child 18923 34f9df073ad9
permissions -rw-r--r--
simplified type attribute;
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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, association lists, generic
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tables, 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 \ \\ ins ins_string ins_int 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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  (*old options -- invalidated*)
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  datatype invalid = None of invalid
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  exception OPTION of invalid
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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 if_none: 'a option -> 'a -> 'a
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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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  (*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 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 sys_error: 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 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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  (*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 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 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 splitAt: 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_first: ('a -> 'b option) -> 'a list -> 'b option
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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 ~~ : '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 equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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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 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 suffixes1: 'a list -> 'a list list
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   145
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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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   154
  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_radixint: int * string list -> 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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  (*lists as sets -- see also Pure/General/ord_list.ML*)
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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 gen_mem: ('a * 'b -> bool) -> 'a * 'b list -> bool
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  val ins: ''a * ''a list -> ''a list
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  val ins_int: int * int list -> int list
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  val ins_string: string * string list -> string list
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  val gen_ins: ('a * 'a -> bool) -> 'a * 'a list -> 'a list
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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 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 \ : ''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 gen_distinct: ('a * 'a -> bool) -> 'a list -> 'a list
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  val distinct: ''a list -> ''a list
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  val findrep: ''a list -> ''a list
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  val gen_duplicates: ('a * 'a -> bool) -> 'a list -> 'a list
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  val duplicates: ''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 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_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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  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 rev_order: order -> order
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  val make_ord: ('a * 'a -> bool) -> 'a * 'a -> order
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  val eq_ord: ('a -> order) -> 'a -> bool
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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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   258
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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 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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  structure Object: sig type T end
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end;
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signature LIBRARY =
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sig
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  include BASIC_LIBRARY
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  val foldl: ('a * 'b -> 'a) -> 'a * 'b list -> 'a
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  val foldr: ('a * 'b -> 'b) -> 'a list * 'b -> 'b
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  val take: int * 'a list -> 'a list
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  val drop: int * 'a list -> 'a list
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  val last_elem: 'a list -> 'a
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  val flat: 'a list list -> 'a list
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  val seq: ('a -> unit) -> 'a list -> unit
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  val partition: ('a -> bool) -> 'a list -> 'a list * 'a list
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  val mapfilter: ('a -> 'b option) -> 'a list -> 'b list
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end;
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   289
structure Library: LIBRARY =
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struct
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(** functions **)
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fun I x = x;
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fun K x = fn _ => x;
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fun curry f x y = f (x, y);
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fun uncurry f (x, y) = f x y;
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(*reverse application and structured results*)
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fun x |> f = f x;
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fun (x, y) |-> f = f x y;
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fun (x, y) |>> f = (f x, y);
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fun (x, y) ||> f = (x, f y);
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fun (x, y) |>>> f = let val (x', z) = f x in (x', (y, z)) end;
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fun (x, y) ||>> f = let val (z, y') = f y in ((x, z), y') end;
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(*reverse composition*)
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fun f #> g = g o f;
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fun f #-> g = uncurry g o f;
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(*conditional application*)
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fun b ? f = fn x => if b x then f x else x;
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(*view results*)
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fun `f = fn x => (f x, x);
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fun tap f = fn x => (f x; x);
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(*composition with multiple args*)
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fun (f oo g) x y = f (g x y);
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fun (f ooo g) x y z = f (g x y z);
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fun (f oooo g) x y z w = f (g x y z w);
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(*function exponentiation: f(...(f x)...) with n applications of f*)
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fun funpow n f x =
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  let fun rep (0, x) = x
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        | rep (n, x) = rep (n - 1, f x)
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  in rep (n, x) end;
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(** options **)
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(*invalidate former constructors to prevent accidental use as match-all patterns!*)
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datatype invalid = None of invalid;
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exception OPTION of invalid;
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val the = Option.valOf;
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fun these (SOME x) = x
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  | these _ = [];
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fun the_default x (SOME y) = y
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  | the_default x _ = x;
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fun the_list (SOME x) = [x]
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  | the_list _ = []
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(*strict!*)
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fun if_none NONE y = y
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  | if_none (SOME x) _ = x;
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fun is_some (SOME _) = true
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  | is_some NONE = false;
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fun is_none (SOME _) = false
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  | is_none NONE = true;
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fun perhaps f x = the_default x (f x);
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(* exceptions *)
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val do_transform_failure = ref true;
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fun transform_failure exn f x =
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  if ! do_transform_failure then
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    f x handle Interrupt => raise Interrupt | e => raise exn e
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  else f x;
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exception EXCEPTION of exn * string;
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d33b1629eaf9 try/can: pass Interrupt and ERROR;
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   372
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fun try f x = SOME (f x)
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  handle Interrupt => raise Interrupt | _ => NONE;
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   376
fun can f x = is_some (try f x);
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   379
datatype 'a result =
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   380
  Result of 'a |
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   381
  Exn of exn;
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   383
fun capture f x = Result (f x) handle e => Exn e;
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   384
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   385
fun release (Result y) = y
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   386
  | release (Exn e) = raise e;
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   388
fun get_result (Result x) = SOME x
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   389
  | get_result _ = NONE;
14868
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   390
15531
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   391
fun get_exn (Exn exn) = SOME exn
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   392
  | get_exn _ = NONE;
14868
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   393
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   394
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   395
(* errors *)
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   396
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   397
exception ERROR of string;
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   398
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   399
fun error msg = raise ERROR msg;
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   400
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wenzelm
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   401
fun cat_error "" msg = error msg
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wenzelm
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   402
  | cat_error msg1 msg2 = error (msg1 ^ "\n" ^ msg2);
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wenzelm
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diff changeset
   403
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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diff changeset
   404
fun sys_error msg = error ("## SYSTEM ERROR ##\n" ^ msg);
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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diff changeset
   405
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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diff changeset
   406
fun assert p msg = if p then () else error msg;
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wenzelm
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   407
fun deny p msg = if p then error msg else ();
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wenzelm
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diff changeset
   408
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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   409
fun assert_all pred list msg =
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wenzelm
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   410
  let
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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diff changeset
   411
    fun ass [] = ()
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   412
      | ass (x :: xs) = if pred x then ass xs else error (msg x);
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wenzelm
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diff changeset
   413
  in ass list end;
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   414
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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diff changeset
   415
4139
e1659fd7a221 fixed exception OPTION;
wenzelm
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diff changeset
   416
233
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   417
(** pairs **)
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diff changeset
   418
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   419
fun pair x y = (x, y);
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   420
fun rpair x y = (y, x);
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diff changeset
   421
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   422
fun fst (x, y) = x;
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diff changeset
   423
fun snd (x, y) = y;
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diff changeset
   424
17498
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
   425
fun eq_fst eq ((x1, _), (x2, _)) = eq (x1, x2);
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
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   426
fun eq_snd eq ((_, y1), (_, y2)) = eq (y1, y2);
233
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wenzelm
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diff changeset
   427
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
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diff changeset
   428
fun swap (x, y) = (y, x);
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wenzelm
parents: 205
diff changeset
   429
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   430
(*apply function to components*)
233
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wenzelm
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diff changeset
   431
fun apfst f (x, y) = (f x, y);
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wenzelm
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diff changeset
   432
fun apsnd f (x, y) = (x, f y);
4212
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wenzelm
parents: 4194
diff changeset
   433
fun pairself f (x, y) = (f x, f y);
233
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parents: 205
diff changeset
   434
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   435
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   436
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   437
(** booleans **)
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wenzelm
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diff changeset
   438
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   439
(* equality *)
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wenzelm
parents: 205
diff changeset
   440
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   441
fun equal x y = x = y;
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wenzelm
parents: 205
diff changeset
   442
fun not_equal x y = x <> y;
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wenzelm
parents: 205
diff changeset
   443
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   444
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   445
(* operators for combining predicates *)
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wenzelm
parents: 205
diff changeset
   446
16721
wenzelm
parents: 16705
diff changeset
   447
fun p orf q = fn x => p x orelse q x;
wenzelm
parents: 16705
diff changeset
   448
fun p andf q = fn x => p x andalso q x;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   449
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   450
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   451
(* predicates on lists *)
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wenzelm
parents: 205
diff changeset
   452
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   453
(*exists pred [x1, ..., xn] ===> pred x1 orelse ... orelse pred xn*)
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wenzelm
parents: 205
diff changeset
   454
fun exists (pred: 'a -> bool) : 'a list -> bool =
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wenzelm
parents: 205
diff changeset
   455
  let fun boolf [] = false
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wenzelm
parents: 205
diff changeset
   456
        | boolf (x :: xs) = pred x orelse boolf xs
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wenzelm
parents: 205
diff changeset
   457
  in boolf end;
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wenzelm
parents: 205
diff changeset
   458
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   459
(*forall pred [x1, ..., xn] ===> pred x1 andalso ... andalso pred xn*)
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wenzelm
parents: 205
diff changeset
   460
fun forall (pred: 'a -> bool) : 'a list -> bool =
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wenzelm
parents: 205
diff changeset
   461
  let fun boolf [] = true
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wenzelm
parents: 205
diff changeset
   462
        | boolf (x :: xs) = pred x andalso boolf xs
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wenzelm
parents: 205
diff changeset
   463
  in boolf end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   464
233
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wenzelm
parents: 205
diff changeset
   465
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   466
(* flags *)
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   467
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   468
fun set flag = (flag := true; true);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   469
fun reset flag = (flag := false; false);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   470
fun toggle flag = (flag := not (! flag); ! flag);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   471
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   472
fun change r f = r := f (! r);
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   473
18712
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   474
(*temporarily set flag during execution*)
2978
83a4c4f79dcd renamed set_ap to setmp;
wenzelm
parents: 2958
diff changeset
   475
fun setmp flag value f x =
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   476
  let
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   477
    val orig_value = ! flag;
18712
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   478
    val _ = flag := value;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   479
    val result = capture f x;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   480
    val _ = flag := orig_value;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   481
  in release result end;
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   482
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   483
11853
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   484
(* conditional execution *)
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   485
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   486
fun conditional b f = if b then f () else ();
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   487
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   488
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   489
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   490
(** lists **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   491
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   492
exception UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   493
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   494
fun cons x xs = x :: xs;
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   495
fun single x = [x];
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   496
4629
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   497
fun append xs ys = xs @ ys;
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   498
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   499
fun apply [] x = x
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   500
  | apply (f :: fs) x = apply fs (f x);
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   501
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   502
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   503
(* fold *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   504
16654
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   505
fun fold f =
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   506
  let
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   507
    fun fold_aux [] y = y
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   508
      | fold_aux (x :: xs) y = fold_aux xs (f x y);
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   509
  in fold_aux end;
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   510
16654
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   511
fun fold_rev f =
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   512
  let
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   513
    fun fold_aux [] y = y
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   514
      | fold_aux (x :: xs) y = f x (fold_aux xs y);
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   515
  in fold_aux end;
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   516
16869
bc98da5727be reverted from fold_yield to fold_map
haftmann
parents: 16842
diff changeset
   517
fun fold_map f =
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   518
  let
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   519
    fun fold_aux [] y = ([], y)
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   520
      | fold_aux (x :: xs) y =
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   521
          let
16705
wenzelm
parents: 16694
diff changeset
   522
            val (x', y') = f x y;
wenzelm
parents: 16694
diff changeset
   523
            val (xs', y'') = fold_aux xs y';
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   524
          in (x' :: xs', y'') end;
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   525
  in fold_aux end;
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   526
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   527
(*the following versions of fold are designed to fit nicely with infixes*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   528
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   529
(*  (op @) (e, [x1, ..., xn])  ===>  ((e @ x1) @ x2) ... @ xn
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   530
    for operators that associate to the left (TAIL RECURSIVE)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   531
fun foldl (f: 'a * 'b -> 'a) : 'a * 'b list -> 'a =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   532
  let fun itl (e, [])  = e
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   533
        | itl (e, a::l) = itl (f(e, a), l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   534
  in  itl end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   535
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   536
(*  (op @) ([x1, ..., xn], e)  ===>   x1 @ (x2 ... @ (xn @ e))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   537
    for operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   538
fun foldr f (l, e) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   539
  let fun itr [] = e
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   540
        | itr (a::l) = f(a, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   541
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   542
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   543
(*  (op @) [x1, ..., xn]  ===>   x1 @ (x2 ... @ (x[n-1] @ xn))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   544
    for n > 0, operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   545
fun foldr1 f l =
4181
wenzelm
parents: 4139
diff changeset
   546
  let fun itr [x] = x
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   547
        | itr (x::l) = f(x, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   548
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   549
18050
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   550
fun fold_index f =
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   551
  let
18514
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   552
    fun fold_aux _ [] y = y
18050
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   553
      | fold_aux i (x :: xs) y = fold_aux (i+1) xs (f (i, x) y);
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   554
  in fold_aux 0 end;
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   555
16705
wenzelm
parents: 16694
diff changeset
   556
fun foldl_map f =
wenzelm
parents: 16694
diff changeset
   557
  let
wenzelm
parents: 16694
diff changeset
   558
    fun fold_aux (x, []) = (x, [])
wenzelm
parents: 16694
diff changeset
   559
      | fold_aux (x, y :: ys) =
wenzelm
parents: 16694
diff changeset
   560
          let
wenzelm
parents: 16694
diff changeset
   561
            val (x', y') = f (x, y);
wenzelm
parents: 16694
diff changeset
   562
            val (x'', ys') = fold_aux (x', ys);
wenzelm
parents: 16694
diff changeset
   563
          in (x'', y' :: ys') end;
wenzelm
parents: 16694
diff changeset
   564
  in fold_aux end;
wenzelm
parents: 16694
diff changeset
   565
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   566
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   567
(* basic list functions *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   568
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   569
(*take the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   570
fun take (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   571
  | take (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   572
      if n > 0 then x :: take (n - 1, xs) else [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   573
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   574
(*drop the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   575
fun drop (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   576
  | drop (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   577
      if n > 0 then drop (n - 1, xs) else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   578
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   579
fun splitAt(n,[]) = ([],[])
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   580
  | splitAt(n,xs as x::ys) =
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   581
      if n>0 then let val (ps,qs) = splitAt(n-1,ys) in (x::ps,qs) end
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   582
      else ([],xs)
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   583
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   584
fun dropwhile P [] = []
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   585
  | dropwhile P (ys as x::xs) = if P x then dropwhile P xs else ys;
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   586
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   587
(*return nth element of a list, where 0 designates the first element;
18461
wenzelm
parents: 18452
diff changeset
   588
  raise Subscript if list too short*)
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   589
fun nth xs i = List.nth (xs, i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   590
18461
wenzelm
parents: 18452
diff changeset
   591
fun nth_list xss i = nth xss i handle Subscript => [];
wenzelm
parents: 18452
diff changeset
   592
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   593
(*update nth element*)
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   594
fun nth_update (n, x) xs =
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   595
    (case splitAt (n, xs) of
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   596
      (_, []) => raise Subscript
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   597
    | (prfx, _ :: sffx') => prfx @ (x :: sffx'))
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   598
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   599
fun nth_map 0 f (x :: xs) = f x :: xs
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   600
  | nth_map n f (x :: xs) = x :: nth_map (n - 1) f xs
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   601
  | nth_map _ _ [] = raise Subscript;
11773
983d2db52062 map_nth_elem;
wenzelm
parents: 11514
diff changeset
   602
18514
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   603
fun map_index f =
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   604
  let
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   605
    fun mapp _ [] = []
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   606
      | mapp i (x :: xs) = f (i, x) :: mapp (i+1) xs
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   607
  in mapp 0 end;
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   608
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   609
val last_elem = List.last;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   610
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   611
(*rear decomposition*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   612
fun split_last [] = raise Empty
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   613
  | split_last [x] = ([], x)
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   614
  | split_last (x :: xs) = apfst (cons x) (split_last xs);
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   615
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   616
(*find the position of an element in a list*)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   617
fun find_index pred =
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   618
  let fun find _ [] = ~1
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   619
        | find n (x :: xs) = if pred x then n else find (n + 1) xs;
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   620
  in find 0 end;
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   621
4224
79e205c3a82c made SML/NJ happy;
wenzelm
parents: 4212
diff changeset
   622
fun find_index_eq x = find_index (equal x);
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   623
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   624
(*find first element satisfying predicate*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   625
fun find_first _ [] = NONE
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   626
  | find_first pred (x :: xs) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   627
      if pred x then SOME x else find_first pred xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   628
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   629
(*get first element by lookup function*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   630
fun get_first _ [] = NONE
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   631
  | get_first f (x :: xs) =
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   632
      (case f x of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   633
        NONE => get_first f xs
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   634
      | some => some);
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   635
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   636
(*flatten a list of lists to a list*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   637
val flat = List.concat;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   638
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   639
fun unflat (xs :: xss) ys =
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   640
      let val (ps,qs) = splitAt(length xs,ys)
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   641
      in ps :: unflat xss qs end
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   642
  | unflat [] [] = []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   643
  | unflat _ _ = raise UnequalLengths;
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   644
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   645
fun burrow f xss =
18359
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   646
  unflat xss ((f o flat) xss);
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   647
18549
5308a6ea3b96 rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents: 18514
diff changeset
   648
fun fold_burrow f xss s =
5308a6ea3b96 rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents: 18514
diff changeset
   649
  apfst (unflat xss) (f (flat xss) s);
18359
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   650
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   651
(*like Lisp's MAPC -- seq proc [x1, ..., xn] evaluates
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   652
  (proc x1; ...; proc xn) for side effects*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   653
val seq = List.app;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   654
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   655
(*separate s [x1, x2, ..., xn]  ===>  [x1, s, x2, s, ..., s, xn]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   656
fun separate s (x :: (xs as _ :: _)) = x :: s :: separate s xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   657
  | separate _ xs = xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   658
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   659
(*make the list [x, x, ..., x] of length n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   660
fun replicate n (x: 'a) : 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   661
  let fun rep (0, xs) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   662
        | rep (n, xs) = rep (n - 1, x :: xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   663
  in
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   664
    if n < 0 then raise Subscript
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   665
    else rep (n, [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   666
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   667
14926
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   668
fun translate_string f = String.translate (f o String.str);
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   669
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   670
(*multiply [a, b, c, ...] * [xs, ys, zs, ...]*)
18148
7921f41165cf curried multiply;
wenzelm
parents: 18050
diff changeset
   671
fun multiply [] _ = []
7921f41165cf curried multiply;
wenzelm
parents: 18050
diff changeset
   672
  | multiply (x :: xs) yss = map (cons x) yss @ multiply xs yss;
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   673
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   674
(*direct product*)
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   675
fun product _ [] = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   676
  | product [] _ = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   677
  | product (x :: xs) ys = map (pair x) ys @ product xs ys;
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   678
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   679
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   680
(* filter *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   681
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   682
(*copy the list preserving elements that satisfy the predicate*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   683
val filter = List.filter;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   684
fun filter_out f = filter (not o f);
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   685
val mapfilter = List.mapPartial;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   686
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   687
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   688
(* lists of pairs *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   689
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   690
exception UnequalLengths;
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   691
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   692
fun map2 _ [] [] = []
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   693
  | map2 f (x :: xs) (y :: ys) = f x y :: map2 f xs ys
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   694
  | map2 _ _ _ = raise UnequalLengths;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   695
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   696
fun fold2 f =
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   697
  let
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   698
    fun fold_aux [] [] z = z
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   699
      | fold_aux (x :: xs) (y :: ys) z = fold_aux xs ys (f x y z)
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   700
      | fold_aux _ _ _ = raise UnequalLengths;
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   701
  in fold_aux end;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   702
4956
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
   703
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   704
(*combine two lists forming a list of pairs:
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   705
  [x1, ..., xn] ~~ [y1, ..., yn]  ===>  [(x1, y1), ..., (xn, yn)]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   706
fun [] ~~ [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   707
  | (x :: xs) ~~ (y :: ys) = (x, y) :: (xs ~~ ys)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   708
  | _ ~~ _ = raise UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   709
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   710
(*inverse of ~~; the old 'split':
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   711
  [(x1, y1), ..., (xn, yn)]  ===>  ([x1, ..., xn], [y1, ..., yn])*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   712
val split_list = ListPair.unzip;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   713
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   714
fun equal_lists eq (xs, ys) =
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   715
  let
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   716
    fun eq' [] [] = true
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   717
      | eq' (x :: xs) (y :: ys) = eq (x, y) andalso eq' xs ys
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   718
  in length xs = length ys andalso eq' xs ys end;
7468
6ce03d2f7d91 equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool;
wenzelm
parents: 7090
diff changeset
   719
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   720
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   721
(* prefixes, suffixes *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   722
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   723
fun is_prefix _ [] _ = true
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   724
  | is_prefix eq (x :: xs) (y :: ys) = eq (x, y) andalso is_prefix eq xs ys
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   725
  | is_prefix eq _ _ = false;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   726
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   727
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., x(i-1)], [xi, ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   728
   where xi is the first element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   729
fun take_prefix (pred : 'a -> bool)  (xs: 'a list) : 'a list * 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   730
  let fun take (rxs, []) = (rev rxs, [])
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   731
        | take (rxs, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   732
            if  pred x  then  take(x :: rxs, xs)  else  (rev rxs, x :: xs)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   733
  in  take([], xs)  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   734
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   735
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., xi], [x(i+1), ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   736
   where xi is the last element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   737
fun take_suffix _ [] = ([], [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   738
  | take_suffix pred (x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   739
      (case take_suffix pred xs of
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   740
        ([], sffx) => if pred x then ([], x :: sffx) else ([x], sffx)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   741
      | (prfx, sffx) => (x :: prfx, sffx));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   742
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   743
fun prefixes1 [] = []
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   744
  | prefixes1 (x :: xs) = map (cons x) ([] :: prefixes1 xs);
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   745
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   746
fun suffixes1 xs = map rev (prefixes1 (rev xs));
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   747
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   748
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   749
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   750
(** integers **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   751
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   752
fun gcd (x, y) =
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   753
  let fun gxd x y : IntInf.int =
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   754
    if y = 0 then x else gxd y (x mod y)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   755
  in if x < y then gxd y x else gxd x y end;
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   756
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   757
fun lcm (x, y) = (x * y) div gcd (x, y);
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   758
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   759
fun inc i = (i := ! i + 1; ! i);
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   760
fun dec i = (i := ! i - 1; ! i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   761
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   762
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   763
(* lists of integers *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   764
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   765
(*make the list [from, from + 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   766
fun (from upto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   767
  if from > to then [] else from :: ((from + 1) upto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   768
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   769
(*make the list [from, from - 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   770
fun (from downto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   771
  if from < to then [] else from :: ((from - 1) downto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   772
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   773
(*predicate: downto0 (is, n) <=> is = [n, n - 1, ..., 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   774
fun downto0 (i :: is, n) = i = n andalso downto0 (is, n - 1)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   775
  | downto0 ([], n) = n = ~1;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   776
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   777
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   778
(* convert integers to strings *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   779
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   780
(*expand the number in the given base;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   781
  example: radixpand (2, 8) gives [1, 0, 0, 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   782
fun radixpand (base, num) : int list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   783
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   784
    fun radix (n, tail) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   785
      if n < base then n :: tail
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   786
      else radix (n div base, (n mod base) :: tail)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   787
  in radix (num, []) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   788
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   789
(*expands a number into a string of characters starting from "zerochar";
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   790
  example: radixstring (2, "0", 8) gives "1000"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   791
fun radixstring (base, zerochar, num) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   792
  let val offset = ord zerochar;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   793
      fun chrof n = chr (offset + n)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   794
  in implode (map chrof (radixpand (base, num))) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   795
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   796
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   797
val string_of_int = Int.toString;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   798
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   799
fun string_of_indexname (a,0) = a
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   800
  | string_of_indexname (a,i) = a ^ "_" ^ Int.toString i;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   801
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   802
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   803
(* read integers *)
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   804
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   805
fun read_radixint (radix: int, cs) : int * string list =
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   806
  let val zero = ord"0"
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   807
      val limit = zero+radix
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   808
      fun scan (num,[]) = (num,[])
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   809
        | scan (num, c::cs) =
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   810
              if  zero <= ord c  andalso  ord c < limit
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   811
              then scan(radix*num + ord c - zero, cs)
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   812
              else (num, c::cs)
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   813
  in  scan(0,cs)  end;
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   814
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   815
fun read_int cs = read_radixint (10, cs);
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   816
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   817
fun oct_char s = chr (#1 (read_radixint (8, explode s)));
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   818
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   819
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   820
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   821
(** strings **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   822
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   823
(* functions tuned for strings, avoiding explode *)
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   824
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   825
fun nth_string str i =
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   826
  (case try String.substring (str, i, 1) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   827
    SOME s => s
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   828
  | NONE => raise Subscript);
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   829
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   830
fun fold_string f str x0 =
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   831
  let
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   832
    val n = size str;
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   833
    fun iter (x, i) =
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   834
      if i < n then iter (f (String.substring (str, i, 1)) x, i + 1) else x;
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   835
  in iter (x0, 0) end;
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   836
14968
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   837
fun exists_string pred str =
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   838
  let
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   839
    val n = size str;
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   840
    fun ex i = i < n andalso (pred (String.substring (str, i, 1)) orelse ex (i + 1));
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   841
  in ex 0 end;
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   842
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   843
fun forall_string pred = not o exists_string (not o pred);
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   844
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   845
(*enclose in brackets*)
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   846
fun enclose lpar rpar str = lpar ^ str ^ rpar;
6642
732af87c0650 strip_quotes replaced by unenclose;
wenzelm
parents: 6510
diff changeset
   847
fun unenclose str = String.substring (str, 1, size str - 2);
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   848
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   849
(*simple quoting (does not escape special chars)*)
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   850
val quote = enclose "\"" "\"";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   851
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   852
(*space_implode "..." (explode "hello") = "h...e...l...l...o"*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   853
fun space_implode a bs = implode (separate a bs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   854
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   855
val commas = space_implode ", ";
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   856
val commas_quote = commas o map quote;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   857
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   858
(*concatenate messages, one per line, into a string*)
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   859
val cat_lines = space_implode "\n";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   860
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   861
(*space_explode "." "h.e..l.lo" = ["h", "e", "", "l", "lo"]*)
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   862
fun space_explode _ "" = []
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   863
  | space_explode sep str =
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   864
      let
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   865
        fun expl chs =
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   866
          (case take_prefix (not_equal sep) chs of
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   867
            (cs, []) => [implode cs]
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   868
          | (cs, _ :: cs') => implode cs :: expl cs');
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   869
      in expl (explode str) end;
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   870
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   871
val split_lines = space_explode "\n";
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   872
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   873
fun prefix_lines "" txt = txt
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   874
  | prefix_lines prfx txt = txt |> split_lines |> map (fn s => prfx ^ s) |> cat_lines;
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   875
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   876
fun untabify chs =
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   877
  let
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   878
    val tab_width = 8;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   879
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   880
    fun untab (_, "\n") = (0, ["\n"])
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   881
      | untab (pos, "\t") =
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   882
          let val d = tab_width - (pos mod tab_width) in (pos + d, replicate d " ") end
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   883
      | untab (pos, c) = (pos + 1, [c]);
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   884
  in
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   885
    if not (exists (equal "\t") chs) then chs
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   886
    else flat (#2 (foldl_map untab (0, chs)))
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   887
  end;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   888
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   889
fun prefix prfx s = prfx ^ s;
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   890
fun suffix sffx s = s ^ sffx;
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   891
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   892
fun unprefix prfx s =
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   893
  if String.isPrefix prfx s then String.substring (s, size prfx, size s - size prfx)
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   894
  else raise Fail "unprefix";
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   895
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   896
fun unsuffix sffx s =
17061
1df7ad3a6082 tuned unsuffix/unprefix;
wenzelm
parents: 17032
diff changeset
   897
  if String.isSuffix sffx s then String.substring (s, 0, size s - size sffx)
1df7ad3a6082 tuned unsuffix/unprefix;
wenzelm
parents: 17032
diff changeset
   898
  else raise Fail "unsuffix";
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   899
10951
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   900
fun replicate_string 0 _ = ""
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   901
  | replicate_string 1 a = a
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   902
  | replicate_string k a =
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   903
      if k mod 2 = 0 then replicate_string (k div 2) (a ^ a)
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   904
      else replicate_string (k div 2) (a ^ a) ^ a;
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   905
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   906
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   907
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   908
(** lists as sets -- see also Pure/General/ord_list.ML **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   909
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   910
(*membership in a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   911
fun x mem [] = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   912
  | x mem (y :: ys) = x = y orelse x mem ys;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   913
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   914
(*membership in a list, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   915
fun (x:int) mem_int [] = false
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   916
  | x mem_int (y :: ys) = x = y orelse x mem_int ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   917
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   918
(*membership in a list, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   919
fun (x:string) mem_string [] = false
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   920
  | x mem_string (y :: ys) = x = y orelse x mem_string ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   921
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   922
(*generalized membership test*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   923
fun gen_mem eq (x, []) = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   924
  | gen_mem eq (x, y :: ys) = eq (x, y) orelse gen_mem eq (x, ys);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   925
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   926
(*member, insert, and remove -- with canonical argument order*)
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   927
fun member eq xs x = gen_mem eq (x, xs);
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   928
fun insert eq x xs = if gen_mem eq (x, xs) then xs else x :: xs;
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   929
fun remove eq x xs = if gen_mem eq (x, xs) then filter_out (fn y => eq (x, y)) xs else xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   930
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   931
(*insertion into list if not already there*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   932
fun (x ins xs) = if x mem xs then xs else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   933
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   934
(*insertion into list, optimized version for ints*)
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   935
fun (x ins_int xs) = if x mem_int xs then xs else x :: xs;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   936
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   937
(*insertion into list, optimized version for strings*)
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   938
fun (x ins_string xs) = if x mem_string xs then xs else x :: xs;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   939
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   940
(*generalized insertion*)
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   941
fun gen_ins eq (x, xs) = insert eq x xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   942
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   943
(*union of sets represented as lists: no repetitions*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   944
fun xs union [] = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   945
  | [] union ys = ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   946
  | (x :: xs) union ys = xs union (x ins ys);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   947
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   948
(*union of sets, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   949
fun (xs:int list) union_int [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   950
  | [] union_int ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   951
  | (x :: xs) union_int ys = xs union_int (x ins_int ys);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   952
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   953
(*union of sets, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   954
fun (xs:string list) union_string [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   955
  | [] union_string ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   956
  | (x :: xs) union_string ys = xs union_string (x ins_string ys);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   957
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   958
(*generalized union*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   959
fun gen_union eq (xs, []) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   960
  | gen_union eq ([], ys) = ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   961
  | gen_union eq (x :: xs, ys) = gen_union eq (xs, gen_ins eq (x, ys));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   962
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   963
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   964
(*intersection*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   965
fun [] inter ys = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   966
  | (x :: xs) inter ys =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   967
      if x mem ys then x :: (xs inter ys) else xs inter ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   968
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   969
(*intersection, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   970
fun ([]:int list) inter_int ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   971
  | (x :: xs) inter_int ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   972
      if x mem_int ys then x :: (xs inter_int ys) else xs inter_int ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   973
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   974
(*intersection, optimized version for strings *)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   975
fun ([]:string list) inter_string ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   976
  | (x :: xs) inter_string ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   977
      if x mem_string ys then x :: (xs inter_string ys) else xs inter_string ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   978
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   979
(*generalized intersection*)
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   980
fun gen_inter eq ([], ys) = []
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   981
  | gen_inter eq (x::xs, ys) =
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   982
      if gen_mem eq (x,ys) then x :: gen_inter eq (xs, ys)
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   983
                           else      gen_inter eq (xs, ys);
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   984
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   985
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   986
(*subset*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   987
fun [] subset ys = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   988
  | (x :: xs) subset ys = x mem ys andalso xs subset ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   989
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   990
(*subset, optimized version for ints*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   991
fun ([]: int list) subset_int ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   992
  | (x :: xs) subset_int ys = x mem_int ys andalso xs subset_int ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   993
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   994
(*subset, optimized version for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   995
fun ([]: string list) subset_string ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   996
  | (x :: xs) subset_string ys = x mem_string ys andalso xs subset_string ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   997
4363
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   998
(*set equality*)
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   999
fun eq_set (xs, ys) =
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
  1000
  xs = ys orelse (xs subset ys andalso ys subset xs);
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
  1001
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
  1002
(*set equality for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1003
fun eq_set_string ((xs: string list), ys) =
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1004
  xs = ys orelse (xs subset_string ys andalso ys subset_string xs);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1005
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
  1006
fun gen_subset eq (xs, ys) = forall (fn x => gen_mem eq (x, ys)) xs;
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
  1007
265
443dc2c37583 added eq_set;
wenzelm
parents: 255
diff changeset
  1008
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1009
(*removing an element from a list WITHOUT duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1010
fun (y :: ys) \ x = if x = y then ys else y :: (ys \ x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1011
  | [] \ x = [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1012
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1013
fun ys \\ xs = foldl (op \) (ys,xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1014
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1015
(*removing an element from a list -- possibly WITH duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1016
fun gen_rem eq (xs, y) = filter_out (fn x => eq (x, y)) xs;
12295
83f747db967c clarified order in gen_merge_lists';
wenzelm
parents: 12284
diff changeset
  1017
fun gen_rems eq (xs, ys) = filter_out (fn x => gen_mem eq (x, ys)) xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1018
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1019
(*makes a list of the distinct members of the input; preserves order, takes
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1020
  first of equal elements*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1021
fun gen_distinct eq lst =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1022
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1023
    val memb = gen_mem eq;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1024
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1025
    fun dist (rev_seen, []) = rev rev_seen
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1026
      | dist (rev_seen, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1027
          if memb (x, rev_seen) then dist (rev_seen, xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1028
          else dist (x :: rev_seen, xs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1029
  in
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1030
    dist ([], lst)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1031
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1032
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1033
fun distinct l = gen_distinct (op =) l;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1034
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1035
(*returns the tail beginning with the first repeated element, or []*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1036
fun findrep [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1037
  | findrep (x :: xs) = if x mem xs then x :: xs else findrep xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1038
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1039
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1040
(*returns a list containing all repeated elements exactly once; preserves
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1041
  order, takes first of equal elements*)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1042
fun gen_duplicates eq lst =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1043
  let
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1044
    val memb = gen_mem eq;
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1045
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1046
    fun dups (rev_dups, []) = rev rev_dups
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1047
      | dups (rev_dups, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1048
          if memb (x, rev_dups) orelse not (memb (x, xs)) then
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1049
            dups (rev_dups, xs)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1050
          else dups (x :: rev_dups, xs);
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1051
  in
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1052
    dups ([], lst)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1053
  end;
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1054
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1055
fun duplicates l = gen_duplicates (op =) l;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1056
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1057
fun has_duplicates eq =
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1058
  let
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1059
    fun dups [] = false
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1060
      | dups (x :: xs) = member eq xs x orelse dups xs;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1061
  in dups end;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1062
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1063
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1064
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1065
(** association lists **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1066
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1067
(* lists as tables *)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1068
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1069
fun gen_merge_lists _ xs [] = xs
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1070
  | gen_merge_lists _ [] ys = ys
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1071
  | gen_merge_lists eq xs ys = xs @ gen_rems eq (ys, xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1072
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1073
fun gen_merge_lists' _ xs [] = xs
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1074
  | gen_merge_lists' _ [] ys = ys
12295
83f747db967c clarified order in gen_merge_lists';
wenzelm
parents: 12284
diff changeset
  1075
  | gen_merge_lists' eq xs ys = gen_rems eq (ys, xs) @ xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1076
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1077
fun merge_lists xs ys = gen_merge_lists (op =) xs ys;
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1078
fun merge_lists' xs ys = gen_merge_lists' (op =) xs ys;
17498
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
  1079
fun merge_alists al = gen_merge_lists (eq_fst (op =)) al;
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
  1080
fun merge_alists' al = gen_merge_lists' (eq_fst (op =)) al;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
  1081
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1082
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1083
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1084
(** balanced trees **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1085
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1086
exception Balance;      (*indicates non-positive argument to balancing fun*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1087
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1088
(*balanced folding; avoids deep nesting*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1089
fun fold_bal f [x] = x
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1090
  | fold_bal f [] = raise Balance
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1091
  | fold_bal f xs =
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
  1092
      let val (ps,qs) = splitAt(length xs div 2, xs)
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
  1093
      in  f (fold_bal f ps, fold_bal f qs)  end;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1094
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1095
(*construct something of the form f(...g(...(x)...)) for balanced access*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1096
fun access_bal (f, g, x) n i =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1097
  let fun acc n i =     (*1<=i<=n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1098
          if n=1 then x else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1099
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1100
          in  if i<=n2 then f (acc n2 i)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1101
                       else g (acc (n-n2) (i-n2))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1102
          end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1103
  in  if 1<=i andalso i<=n then acc n i else raise Balance  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1104
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1105
(*construct ALL such accesses; could try harder to share recursive calls!*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1106
fun accesses_bal (f, g, x) n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1107
  let fun acc n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1108
          if n=1 then [x] else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1109
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1110
              val acc2 = acc n2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1111
          in  if n-n2=n2 then map f acc2 @ map g acc2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1112
                         else map f acc2 @ map g (acc (n-n2)) end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1113
  in  if 1<=n then acc n else raise Balance  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1114
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1115
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1116
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1117
(** orders **)
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1118
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1119
fun rev_order LESS = GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1120
  | rev_order EQUAL = EQUAL
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1121
  | rev_order GREATER = LESS;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1122
4479
708d7c26db5b improved comment;
wenzelm
parents: 4445
diff changeset
  1123
(*assume rel is a linear strict order*)
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1124
fun make_ord rel (x, y) =
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1125
  if rel (x, y) then LESS
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1126
  else if rel (y, x) then GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1127
  else EQUAL;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1128
18452
5ea633c9bc05 added eq_ord
haftmann
parents: 18450
diff changeset
  1129
fun eq_ord ord xy =
5ea633c9bc05 added eq_ord
haftmann
parents: 18450
diff changeset
  1130
  case ord xy
5ea633c9bc05 added eq_ord
haftmann
parents: 18450
diff changeset
  1131
   of EQUAL => true
5ea633c9bc05 added eq_ord
haftmann
parents: 18450
diff changeset
  1132
    | _ => false;
5ea633c9bc05 added eq_ord
haftmann
parents: 18450
diff changeset
  1133
15051
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
  1134
val int_ord = Int.compare;
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
  1135
val string_ord = String.compare;
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1136
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1137
fun fast_string_ord (s1, s2) =
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1138
  (case int_ord (size s1, size s2) of EQUAL => string_ord (s1, s2) | ord => ord);
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1139
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1140
fun option_ord ord (SOME x, SOME y) = ord (x, y)
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1141
  | option_ord _ (NONE, NONE) = EQUAL
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1142
  | option_ord _ (NONE, SOME _) = LESS
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1143
  | option_ord _ (SOME _, NONE) = GREATER;
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1144
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1145
(*lexicographic product*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1146
fun prod_ord a_ord b_ord ((x, y), (x', y')) =
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1147
  (case a_ord (x, x') of EQUAL => b_ord (y, y') | ord => ord);
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1148
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1149
(*dictionary order -- in general NOT well-founded!*)
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1150
fun dict_ord elem_ord (x :: xs, y :: ys) =
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1151
      (case elem_ord (x, y) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord)
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1152
  | dict_ord _ ([], []) = EQUAL
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1153
  | dict_ord _ ([], _ :: _) = LESS
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1154
  | dict_ord _ (_ :: _, []) = GREATER;
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1155
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1156
(*lexicographic product of lists*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1157
fun list_ord elem_ord (xs, ys) =
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1158
  (case int_ord (length xs, length ys) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord);
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1159
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1160
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1161
(* sorting *)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1162
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1163
(*quicksort -- stable, i.e. does not reorder equal elements*)
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1164
fun quicksort unique ord =
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1165
  let
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1166
    fun qsort [] = []
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1167
      | qsort (xs as [_]) = xs
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1168
      | qsort (xs as [x, y]) =
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1169
          (case ord (x, y) of
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1170
            LESS => xs
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1171
          | EQUAL => if unique then [x] else xs
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1172
          | GREATER => [y, x])
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1173
      | qsort xs =
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
  1174
          let val (lts, eqs, gts) = part (nth xs (length xs div 2)) xs
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1175
          in qsort lts @ eqs @ qsort gts end
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1176
    and part _ [] = ([], [], [])
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1177
      | part pivot (x :: xs) = add (ord (x, pivot)) x (part pivot xs)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1178
    and add LESS x (lts, eqs, gts) = (x :: lts, eqs, gts)
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1179
      | add EQUAL x (lts, [], gts) = (lts, [x], gts)
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1180
      | add EQUAL x (res as (lts, eqs, gts)) = if unique then res else (lts, x :: eqs, gts)
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1181
      | add GREATER x (lts, eqs, gts) = (lts, eqs, x :: gts);
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1182
  in qsort end;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1183
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1184
fun sort ord = quicksort false ord;
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1185
fun sort_distinct ord = quicksort true ord;
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1186
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1187
val sort_strings = sort string_ord;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1188
fun sort_wrt sel xs = sort (string_ord o pairself sel) xs;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1189
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1190
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1191
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1192
(** random numbers **)
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1193
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1194
exception RANDOM;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1195
14618
068bb99f3ebd Fixed bug in rmod that caused an overflow exception in SML/NJ.
berghofe
parents: 14472
diff changeset
  1196
fun rmod x y = x - y * Real.realFloor (x / y);
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1197
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1198
local
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1199
  val a = 16807.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1200
  val m = 2147483647.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1201
  val random_seed = ref 1.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1202
in
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1203
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1204
fun random () =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1205
  let val r = rmod (a * !random_seed) m
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1206
  in (random_seed := r; r) end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1207
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1208
end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1209
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1210
fun random_range l h =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1211
  if h < l orelse l < 0 then raise RANDOM
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1212
  else l + Real.floor (rmod (random ()) (real (h - l + 1)));
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1213
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
  1214
fun one_of xs = nth xs (random_range 0 (length xs - 1));
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1215
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1216
fun frequency xs =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1217
  let
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1218
    val sum = foldl op + (0, map fst xs);
17756
d4a35f82fbb4 minor tweaks for Poplog/ML;
wenzelm
parents: 17545
diff changeset
  1219
    fun pick n ((k: int, x) :: xs) =
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1220
      if n <= k then x else pick (n - k) xs
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1221
  in pick (random_range 1 sum) xs end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1222
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1223
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
  1224
(** current directory **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1225
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1226
val cd = OS.FileSys.chDir;
2317
672015b535d7 added pwd;
wenzelm
parents: 2303
diff changeset
  1227
val pwd = OS.FileSys.getDir;
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1228
3606
5d7073700fbc Added function "file_exists".
berghofe
parents: 3553
diff changeset
  1229
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1230
(** misc **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1231
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1232
(*Partition list into elements that satisfy predicate and those that don't.
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1233
  Preserves order of elements in both lists.*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1234
val partition = List.partition;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1235
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1236
fun partition_eq (eq:'a * 'a -> bool) =
16842
wenzelm
parents: 16825
diff changeset
  1237
  let
wenzelm
parents: 16825
diff changeset
  1238
    fun part [] = []
wenzelm
parents: 16825
diff changeset
  1239
      | part (x :: ys) =
wenzelm
parents: 16825
diff changeset
  1240
          let val (xs, xs') = partition (fn y => eq (x, y)) ys
wenzelm
parents: 16825
diff changeset
  1241
          in (x::xs)::(part xs') end
wenzelm
parents: 16825
diff changeset
  1242
  in part end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1243
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1244
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1245
(*Partition a list into buckets  [ bi, b(i+1), ..., bj ]
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1246
   putting x in bk if p(k)(x) holds.  Preserve order of elements if possible.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1247
fun partition_list p i j =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1248
  let fun part k xs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1249
            if k>j then
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1250
              (case xs of [] => []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1251
                         | _ => raise Fail "partition_list")
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1252
            else
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1253
            let val (ns, rest) = partition (p k) xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1254
            in  ns :: part(k+1)rest  end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1255
  in  part i end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1256
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1257
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1258
(* generating identifiers *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1259
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1260
(** Freshly generated identifiers; supplied prefix MUST start with a letter **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1261
local
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1262
(*Maps 0-63 to A-Z, a-z, 0-9 or _ or ' for generating random identifiers*)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1263
fun char i =      if i<26 then chr (ord "A" + i)
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1264
             else if i<52 then chr (ord "a" + i - 26)
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1265
             else if i<62 then chr (ord"0" + i - 52)
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1266
             else if i=62 then "_"
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1267
             else  (*i=63*)    "'";
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1268
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1269
val charVec = Vector.tabulate (64, char);
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1270
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1271
fun newid n =
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1272
  let
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1273
  in  implode (map (fn i => Vector.sub(charVec,i)) (radixpand (64,n)))  end;
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1274
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1275
val seedr = ref 0;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1276
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1277
in
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1278
12346
e7b1956f4eae removed questionable init_gensym;
wenzelm
parents: 12295
diff changeset
  1279
fun gensym pre = pre ^ (#1(newid (!seedr), inc seedr));
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1280
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1281
end;
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1282
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1283
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1284
(* lexical scanning *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1285
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1286
(*scan a list of characters into "words" composed of "letters" (recognized by
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1287
  is_let) and separated by any number of non-"letters"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1288
fun scanwords is_let cs =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1289
  let fun scan1 [] = []
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1290
        | scan1 cs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1291
            let val (lets, rest) = take_prefix is_let cs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1292
            in implode lets :: scanwords is_let rest end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1293
  in scan1 (#2 (take_prefix (not o is_let) cs)) end;
24
f3d4ff75d9f2 added functions that operate on filenames: split_filename (originally located
clasohm
parents: 0
diff changeset
  1294
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1295
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1296
(* stamps and serial numbers *)
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1297
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1298
type stamp = unit ref;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1299
val stamp: unit -> stamp = ref;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1300
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1301
type serial = int;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1302
local val count = ref 0
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1303
in fun serial () = inc count end;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1304
16535
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1305
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1306
(* generic objects *)
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1307
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1308
(*note that the builtin exception datatype may be extended by new
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1309
  constructors at any time*)
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1310
structure Object = struct type T = exn end;
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1311
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1312
end;
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1313
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
  1314
structure BasicLibrary: BASIC_LIBRARY = Library;
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
  1315
open BasicLibrary;