src/Pure/library.ML
author wenzelm
Mon, 23 Jul 2007 16:45:00 +0200
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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, orders, current directory, misc.
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See also General/basics.ML for the most fundamental concepts.
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*)
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infix 1 |>>>
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infix 2 ?
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infix 3 o oo ooo oooo
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infix 4 ~~ upto downto
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infix orf andf \ \\ mem mem_int mem_string union union_int
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  union_string inter inter_int inter_string subset subset_int subset_string
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signature BASIC_LIBRARY =
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sig
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  (*functions*)
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  val undefined: 'a -> 'b
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  val I: 'a -> 'a
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  val K: 'a -> 'b -> 'a
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  val flip: ('a -> 'b -> 'c) -> 'b -> 'a -> 'c
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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 * 'c) * ('a -> 'b * 'd) -> 'b * ('c * 'd)
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  val ? : bool * ('a -> 'a) -> 'a -> 'a
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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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  (*exceptions*)
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  exception EXCEPTION of exn * string
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  val do_transform_failure: bool ref
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  val transform_failure: (exn -> exn) -> ('a -> 'b) -> 'a -> 'b
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  datatype 'a result = Result of 'a | Exn of exn
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  val capture: ('a -> 'b) -> 'a -> 'b result
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  val release: 'a result -> 'a
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  val get_result: 'a result -> 'a option
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  val get_exn: 'a result -> exn option
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  (*errors*)
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  exception SYS_ERROR of string
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  val sys_error: string -> 'a
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  exception ERROR of string
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  val error: string -> 'a
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  val cat_error: string -> string -> 'a
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  val assert_all: ('a -> bool) -> 'a list -> ('a -> string) -> unit
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  (*pairs*)
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  val pair: 'a -> 'b -> 'a * 'b
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  val rpair: 'a -> 'b -> 'b * 'a
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  val fst: 'a * 'b -> 'a
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  val snd: 'a * 'b -> 'b
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  val eq_fst: ('a * 'c -> bool) -> ('a * 'b) * ('c * 'd) -> bool
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  val eq_snd: ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool
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  val eq_pair: ('a * 'c -> bool) -> ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool
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  val swap: 'a * 'b -> 'b * 'a
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  val apfst: ('a -> 'b) -> 'a * 'c -> 'b * 'c
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  val apsnd: ('a -> 'b) -> 'c * 'a -> 'c * 'b
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  val pairself: ('a -> 'b) -> 'a * 'a -> 'b * 'b
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  (*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_noncritical: 'a ref -> 'a -> ('b -> 'c) -> 'b -> 'c
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  val setmp: 'a ref -> 'a -> ('b -> 'c) -> 'b -> 'c
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  (*lists*)
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  exception UnequalLengths
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  val single: 'a -> 'a list
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  val the_single: 'a list -> 'a
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  val singleton: ('a list -> 'b list) -> 'a -> 'b
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  val apply: ('a -> 'a) list -> 'a -> 'a
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  val foldr1: ('a * 'a -> 'a) -> 'a list -> 'a
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  val foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list
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  val flat: 'a list list -> 'a list
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  val unflat: 'a list list -> 'b list -> 'b list list
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  val burrow: ('a list -> 'b list) -> 'a list list -> 'b list list
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  val fold_burrow: ('a list -> 'c -> 'b list * 'd) -> 'a list list -> 'c -> 'b list list * 'd
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  val maps: ('a -> 'b list) -> 'a list -> 'b list
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  val chop: int -> 'a list -> 'a list * 'a list
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  val dropwhile: ('a -> bool) -> 'a list -> 'a list
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  val nth: 'a list -> int -> 'a
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  val nth_map: int -> ('a -> 'a) -> 'a list -> 'a list
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  val nth_list: 'a list list -> int -> 'a list
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  val map_index: (int * 'a -> 'b) -> 'a list -> 'b list
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  val fold_index: (int * 'a -> 'b -> 'b) -> 'a list -> 'b -> 'b
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  val split_last: 'a list -> 'a list * 'a
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  val find_index: ('a -> bool) -> 'a list -> int
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  val find_index_eq: ''a -> ''a list -> int
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  val find_first: ('a -> bool) -> 'a list -> 'a option
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  val get_index: ('a -> 'b option) -> 'a list -> (int * 'b) option
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  val get_first: ('a -> 'b option) -> 'a list -> 'b option
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  val eq_list: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val map2: ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list
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  val fold2: ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c
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  val zip_options: 'a list -> 'b option list -> ('a * 'b) list
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  val ~~ : 'a list * 'b list -> ('a * 'b) list
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  val split_list: ('a * 'b) list -> 'a list * 'b list
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  val separate: 'a -> 'a list -> 'a list
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  val replicate: int -> 'a -> 'a list
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  val multiply: 'a list -> 'a list list -> 'a list list
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  val product: 'a list -> 'b list -> ('a * 'b) list
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  val filter: ('a -> bool) -> 'a list -> 'a list
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  val filter_out: ('a -> bool) -> 'a list -> 'a list
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  val map_filter: ('a -> 'b option) -> 'a list -> 'b list
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  val is_prefix: ('a * 'a -> bool) -> 'a list -> 'a list -> bool
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  val take_prefix: ('a -> bool) -> 'a list -> 'a list * 'a list
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  val chop_prefix: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list * ('a list * 'b list)
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  val take_suffix: ('a -> bool) -> 'a list -> 'a list * 'a list
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  val prefixes1: 'a list -> 'a list list
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  val prefixes: 'a list -> 'a list list
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  val suffixes1: 'a list -> 'a list list
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  val suffixes: 'a list -> 'a list list
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  (*integers*)
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  val 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 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 signed_string_of_int: int -> string
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  val string_of_indexname: string * int -> string
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  val read_intinf: int -> string list -> IntInf.int * string list
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  val read_int: string list -> int * string list
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  val oct_char: string -> string
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  (*strings*)
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  val nth_string: string -> int -> string
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  val fold_string: (string -> 'a -> 'a) -> string -> 'a -> 'a
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  val exists_string: (string -> bool) -> string -> bool
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  val forall_string: (string -> bool) -> string -> bool
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  val enclose: string -> string -> string -> string
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  val unenclose: string -> string
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  val quote: string -> string
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  val space_implode: string -> string list -> string
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  val commas: string list -> string
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  val commas_quote: string list -> string
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  val cat_lines: string list -> string
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  val space_explode: string -> string -> string list
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  val split_lines: string -> string list
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  val prefix_lines: string -> string -> string
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  val untabify: string list -> string list
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  val prefix: string -> string -> string
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  val suffix: string -> string -> string
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  val unprefix: string -> string -> string
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  val unsuffix: string -> string -> string
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  val replicate_string: int -> string -> string
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  val translate_string: (string -> string) -> string -> string
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  (*lists as sets -- see also Pure/General/ord_list.ML*)
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  val member: ('b * 'a -> bool) -> 'a list -> 'b -> bool
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  val insert: ('a * 'a -> bool) -> 'a -> 'a list -> 'a list
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  val remove: ('b * 'a -> bool) -> 'b -> 'a list -> 'a list
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  val subtract: ('b * 'a -> bool) -> 'b list -> 'a list -> 'a list
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  val merge: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list
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  val mem: ''a * ''a list -> bool
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  val mem_int: int * int list -> bool
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  val mem_string: string * string list -> bool
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  val union: ''a list * ''a list -> ''a list
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  val union_int: int list * int list -> int list
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  val union_string: string list * string list -> string list
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  val gen_union: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list
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  val gen_inter: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
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  val inter: ''a list * ''a list -> ''a list
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  val inter_int: int list * int list -> int list
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  val inter_string: string list * string list -> string list
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  val subset: ''a list * ''a list -> bool
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  val subset_int: int list * int list -> bool
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  val subset_string: string list * string list -> bool
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  val eq_set: ''a list * ''a list -> bool
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  val eq_set_string: string list * string list -> bool
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  val gen_subset: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val gen_eq_set: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val \ : ''a list * ''a -> ''a list
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  val \\ : ''a list * ''a list -> ''a list
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  val distinct: ('a * 'a -> bool) -> 'a list -> 'a list
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  val duplicates: ('a * 'a -> bool) -> 'a list -> 'a list
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  val has_duplicates: ('a * 'a -> bool) -> 'a list -> bool
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  (*lists as multisets*)
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  val remove1: ('b * 'a -> bool) -> 'b -> 'a list -> 'a list
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  val submultiset: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  (*orders*)
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  val is_equal: order -> bool
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  val rev_order: order -> order
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  val make_ord: ('a * 'a -> bool) -> 'a * 'a -> order
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  val int_ord: int * int -> order
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  val string_ord: string * string -> order
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  val fast_string_ord: string * string -> order
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  val option_ord: ('a * 'b -> order) -> 'a option * 'b option -> order
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  val prod_ord: ('a * 'b -> order) -> ('c * 'd -> order) -> ('a * 'c) * ('b * 'd) -> order
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  val dict_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
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  val list_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
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  val sort: ('a * 'a -> order) -> 'a list -> 'a list
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  val sort_distinct: ('a * 'a -> order) -> 'a list -> 'a list
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  val sort_strings: string list -> string list
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  val sort_wrt: ('a -> string) -> 'a list -> 'a list
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  (*random numbers*)
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  exception RANDOM
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  val random: unit -> real
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  val random_range: int -> int -> int
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  val one_of: 'a list -> 'a
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  val frequency: (int * 'a) list -> 'a
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  (*misc*)
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  val divide_and_conquer: ('a -> 'a list * ('b list -> 'b)) -> 'a -> 'b
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  val partition_eq: ('a * 'a -> bool) -> 'a list -> 'a list list
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  val partition_list: (int -> 'a -> bool) -> int -> int -> 'a list -> 'a list list
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  val gensym: string -> string
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  type stamp
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  val stamp: unit -> stamp
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  type serial
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  val serial: unit -> serial
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  val serial_string: unit -> string
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  structure Object: sig type T end
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end;
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signature LIBRARY =
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sig
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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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end;
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structure Library: LIBRARY =
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struct
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(* functions *)
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fun undefined _ = raise Match;
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16842
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fun I x = x;
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fun K x = fn _ => x;
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fun flip f x y = f y 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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(*application and structured results -- old version*)
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fun (x, y) |>>> f = let val (x', z) = f x in (x', (y, z)) end;
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(*conditional application*)
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fun b ? f = fn x => if b then f x else 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 0 _ x = x
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  | funpow n f x = funpow (n - 1) f (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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14868
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datatype 'a result =
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  Result of 'a |
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  Exn of exn;
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fun capture f x = Result (f x) handle e => Exn e;
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fun release (Result y) = y
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  | release (Exn e) = raise e;
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fun get_result (Result x) = SOME x
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  | get_result _ = NONE;
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fun get_exn (Exn exn) = SOME exn
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  | get_exn _ = NONE;
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617e4b19a2e5 tuned exeption handling (capture/release);
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18681
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   301
(* errors *)
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   302
19542
b5abe6cd4cbf sys_error: exception SYS_ERROR;
wenzelm
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   303
exception SYS_ERROR of string;
b5abe6cd4cbf sys_error: exception SYS_ERROR;
wenzelm
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   304
fun sys_error msg = raise SYS_ERROR msg;
b5abe6cd4cbf sys_error: exception SYS_ERROR;
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   305
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
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   306
exception ERROR of string;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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   307
fun error msg = raise ERROR msg;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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   308
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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   309
fun cat_error "" msg = error msg
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   310
  | cat_error msg1 msg2 = error (msg1 ^ "\n" ^ msg2);
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   311
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
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   312
fun assert_all pred list msg =
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   313
  let
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wenzelm
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   314
    fun ass [] = ()
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
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   315
      | ass (x :: xs) = if pred x then ass xs else error (msg x);
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wenzelm
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diff changeset
   316
  in ass list end;
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   317
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
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   318
21395
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diff changeset
   319
(* pairs *)
233
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   320
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   321
fun pair x y = (x, y);
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   322
fun rpair x y = (y, x);
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diff changeset
   323
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diff changeset
   324
fun fst (x, y) = x;
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diff changeset
   325
fun snd (x, y) = y;
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diff changeset
   326
17498
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
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diff changeset
   327
fun eq_fst eq ((x1, _), (x2, _)) = eq (x1, x2);
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
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diff changeset
   328
fun eq_snd eq ((_, y1), (_, y2)) = eq (y1, y2);
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
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diff changeset
   329
fun eq_pair eqx eqy ((x1, y1), (x2, y2)) = eqx (x1, x2) andalso eqy (y1, y2);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
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diff changeset
   330
efd6b4bb14dd major cleanup and reorganisation;
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diff changeset
   331
fun swap (x, y) = (y, x);
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wenzelm
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diff changeset
   332
efd6b4bb14dd major cleanup and reorganisation;
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diff changeset
   333
fun apfst f (x, y) = (f x, y);
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wenzelm
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diff changeset
   334
fun apsnd f (x, y) = (x, f y);
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68c7b37f8721 major cleanup;
wenzelm
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diff changeset
   335
fun pairself f (x, y) = (f x, f y);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
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diff changeset
   336
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
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diff changeset
   337
21395
f34ac19659ae moved some fundamental concepts to General/basics.ML;
wenzelm
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diff changeset
   338
(* booleans *)
233
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diff changeset
   339
21395
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diff changeset
   340
(*polymorphic equality*)
233
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diff changeset
   341
fun equal x y = x = y;
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   342
fun not_equal x y = x <> y;
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diff changeset
   343
21395
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   344
(*combining predicates*)
16721
wenzelm
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diff changeset
   345
fun p orf q = fn x => p x orelse q x;
wenzelm
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diff changeset
   346
fun p andf q = fn x => p x andalso q x;
233
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diff changeset
   347
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   348
(*exists pred [x1, ..., xn] ===> pred x1 orelse ... orelse pred xn*)
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   349
fun exists (pred: 'a -> bool) : 'a list -> bool =
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diff changeset
   350
  let fun boolf [] = false
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   351
        | boolf (x :: xs) = pred x orelse boolf xs
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diff changeset
   352
  in boolf end;
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diff changeset
   353
efd6b4bb14dd major cleanup and reorganisation;
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diff changeset
   354
(*forall pred [x1, ..., xn] ===> pred x1 andalso ... andalso pred xn*)
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diff changeset
   355
fun forall (pred: 'a -> bool) : 'a list -> bool =
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wenzelm
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diff changeset
   356
  let fun boolf [] = true
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diff changeset
   357
        | boolf (x :: xs) = pred x andalso boolf xs
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wenzelm
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diff changeset
   358
  in boolf end;
0
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parents:
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   359
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
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diff changeset
   360
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   361
(* flags *)
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   362
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   363
fun set flag = (flag := true; true);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   364
fun reset flag = (flag := false; false);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   365
fun toggle flag = (flag := not (! flag); ! flag);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   366
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   367
fun change r f = r := f (! r);
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   368
18712
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   369
(*temporarily set flag during execution*)
23932
7afee4bf89e8 added setmp_noncritical;
wenzelm
parents: 23922
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   370
fun setmp_noncritical flag value f x =
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
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   371
  let
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   372
    val orig_value = ! flag;
18712
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   373
    val _ = flag := value;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   374
    val result = capture f x;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   375
    val _ = flag := orig_value;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   376
  in release result end;
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   377
23932
7afee4bf89e8 added setmp_noncritical;
wenzelm
parents: 23922
diff changeset
   378
fun setmp flag value f x = CRITICAL (fn () => setmp_noncritical flag value f x);
7afee4bf89e8 added setmp_noncritical;
wenzelm
parents: 23922
diff changeset
   379
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   380
21395
f34ac19659ae moved some fundamental concepts to General/basics.ML;
wenzelm
parents: 21335
diff changeset
   381
233
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wenzelm
parents: 205
diff changeset
   382
(** lists **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   383
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   384
exception UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   385
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   386
fun single x = [x];
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   387
20882
90b3f8047f55 added the_single;
wenzelm
parents: 20854
diff changeset
   388
fun the_single [x] = x
90b3f8047f55 added the_single;
wenzelm
parents: 20854
diff changeset
   389
  | the_single _ = raise Empty;
90b3f8047f55 added the_single;
wenzelm
parents: 20854
diff changeset
   390
90b3f8047f55 added the_single;
wenzelm
parents: 20854
diff changeset
   391
fun singleton f x = the_single (f [x]);
19273
05b6d220e509 added singleton;
wenzelm
parents: 19233
diff changeset
   392
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   393
fun apply [] x = x
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   394
  | apply (f :: fs) x = apply fs (f x);
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   395
233
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wenzelm
parents: 205
diff changeset
   396
21395
f34ac19659ae moved some fundamental concepts to General/basics.ML;
wenzelm
parents: 21335
diff changeset
   397
(* fold -- old versions *)
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   398
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   399
(*the following versions of fold are designed to fit nicely with infixes*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   400
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   401
(*  (op @) (e, [x1, ..., xn])  ===>  ((e @ x1) @ x2) ... @ xn
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wenzelm
parents: 205
diff changeset
   402
    for operators that associate to the left (TAIL RECURSIVE)*)
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wenzelm
parents: 205
diff changeset
   403
fun foldl (f: 'a * 'b -> 'a) : 'a * 'b list -> 'a =
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wenzelm
parents: 205
diff changeset
   404
  let fun itl (e, [])  = e
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wenzelm
parents: 205
diff changeset
   405
        | itl (e, a::l) = itl (f(e, a), l)
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wenzelm
parents: 205
diff changeset
   406
  in  itl end;
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wenzelm
parents: 205
diff changeset
   407
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   408
(*  (op @) ([x1, ..., xn], e)  ===>   x1 @ (x2 ... @ (xn @ e))
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wenzelm
parents: 205
diff changeset
   409
    for operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   410
fun foldr f (l, e) =
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wenzelm
parents: 205
diff changeset
   411
  let fun itr [] = e
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wenzelm
parents: 205
diff changeset
   412
        | itr (a::l) = f(a, itr l)
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wenzelm
parents: 205
diff changeset
   413
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   414
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   415
(*  (op @) [x1, ..., xn]  ===>   x1 @ (x2 ... @ (x[n-1] @ xn))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   416
    for n > 0, operators that associate to the right (not tail recursive)*)
20443
84a624a8f773 Empty is better than Match
paulson
parents: 20348
diff changeset
   417
fun foldr1 f [] = raise Empty
20510
5e844572939d tuned eq_list;
wenzelm
parents: 20443
diff changeset
   418
  | foldr1 f l =
20443
84a624a8f773 Empty is better than Match
paulson
parents: 20348
diff changeset
   419
      let fun itr [x] = x
20510
5e844572939d tuned eq_list;
wenzelm
parents: 20443
diff changeset
   420
            | itr (x::l) = f(x, itr l)
20443
84a624a8f773 Empty is better than Match
paulson
parents: 20348
diff changeset
   421
      in  itr l  end;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   422
16705
wenzelm
parents: 16694
diff changeset
   423
fun foldl_map f =
wenzelm
parents: 16694
diff changeset
   424
  let
wenzelm
parents: 16694
diff changeset
   425
    fun fold_aux (x, []) = (x, [])
wenzelm
parents: 16694
diff changeset
   426
      | fold_aux (x, y :: ys) =
wenzelm
parents: 16694
diff changeset
   427
          let
wenzelm
parents: 16694
diff changeset
   428
            val (x', y') = f (x, y);
wenzelm
parents: 16694
diff changeset
   429
            val (x'', ys') = fold_aux (x', ys);
wenzelm
parents: 16694
diff changeset
   430
          in (x'', y' :: ys') end;
wenzelm
parents: 16694
diff changeset
   431
  in fold_aux end;
wenzelm
parents: 16694
diff changeset
   432
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   433
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   434
(* basic list functions *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   435
20510
5e844572939d tuned eq_list;
wenzelm
parents: 20443
diff changeset
   436
fun eq_list eq (list1, list2) =
20348
d59364649bcc abandoned equal_list in favor for eq_list
haftmann
parents: 20137
diff changeset
   437
  let
20510
5e844572939d tuned eq_list;
wenzelm
parents: 20443
diff changeset
   438
    fun eq_lst (x :: xs, y :: ys) = eq (x, y) andalso eq_lst (xs, ys)
5e844572939d tuned eq_list;
wenzelm
parents: 20443
diff changeset
   439
      | eq_lst _ = true;
5e844572939d tuned eq_list;
wenzelm
parents: 20443
diff changeset
   440
  in length list1 = length list2 andalso eq_lst (list1, list2) end;
20348
d59364649bcc abandoned equal_list in favor for eq_list
haftmann
parents: 20137
diff changeset
   441
19483
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   442
fun maps f [] = []
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   443
  | maps f (x :: xs) = f x @ maps f xs;
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   444
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   445
fun chop 0 xs = ([], xs)
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   446
  | chop _ [] = ([], [])
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   447
  | chop n (x :: xs) = chop (n - 1) xs |>> cons x;
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   448
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   449
(*take the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   450
fun take (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   451
  | take (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   452
      if n > 0 then x :: take (n - 1, xs) else [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   453
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   454
(*drop the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   455
fun drop (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   456
  | drop (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   457
      if n > 0 then drop (n - 1, xs) else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   458
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   459
fun dropwhile P [] = []
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   460
  | 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
   461
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   462
(*return nth element of a list, where 0 designates the first element;
18461
wenzelm
parents: 18452
diff changeset
   463
  raise Subscript if list too short*)
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   464
fun nth xs i = List.nth (xs, i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   465
18461
wenzelm
parents: 18452
diff changeset
   466
fun nth_list xss i = nth xss i handle Subscript => [];
wenzelm
parents: 18452
diff changeset
   467
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   468
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
   469
  | 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
   470
  | nth_map _ _ [] = raise Subscript;
11773
983d2db52062 map_nth_elem;
wenzelm
parents: 11514
diff changeset
   471
18514
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   472
fun map_index f =
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   473
  let
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   474
    fun mapp _ [] = []
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   475
      | mapp i (x :: xs) = f (i, x) :: mapp (i+1) xs
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   476
  in mapp 0 end;
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   477
21118
d9789a87825d cleanup
haftmann
parents: 20972
diff changeset
   478
fun fold_index f =
d9789a87825d cleanup
haftmann
parents: 20972
diff changeset
   479
  let
d9789a87825d cleanup
haftmann
parents: 20972
diff changeset
   480
    fun fold_aux _ [] y = y
d9789a87825d cleanup
haftmann
parents: 20972
diff changeset
   481
      | fold_aux i (x :: xs) y = fold_aux (i+1) xs (f (i, x) y);
d9789a87825d cleanup
haftmann
parents: 20972
diff changeset
   482
  in fold_aux 0 end;
d9789a87825d cleanup
haftmann
parents: 20972
diff changeset
   483
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   484
val last_elem = List.last;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   485
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   486
(*rear decomposition*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   487
fun split_last [] = raise Empty
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   488
  | split_last [x] = ([], x)
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   489
  | split_last (x :: xs) = apfst (cons x) (split_last xs);
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   490
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   491
(*find the position of an element in a list*)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   492
fun find_index pred =
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   493
  let fun find _ [] = ~1
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   494
        | find n (x :: xs) = if pred x then n else find (n + 1) xs;
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   495
  in find 0 end;
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   496
4224
79e205c3a82c made SML/NJ happy;
wenzelm
parents: 4212
diff changeset
   497
fun find_index_eq x = find_index (equal x);
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   498
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   499
(*find first element satisfying predicate*)
22593
de39593f2948 find_first is just an alias
paulson
parents: 22582
diff changeset
   500
val find_first = List.find;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   501
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   502
(*get first element by lookup function*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   503
fun get_first _ [] = NONE
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   504
  | get_first f (x :: xs) =
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   505
      (case f x of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   506
        NONE => get_first f xs
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   507
      | some => some);
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   508
19233
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   509
fun get_index f =
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   510
  let
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   511
    fun get _ [] = NONE
19461
d3bc9c1ff241 made 'flat' pervasive (again);
wenzelm
parents: 19454
diff changeset
   512
      | get i (x :: xs) =
19233
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   513
          case f x
19461
d3bc9c1ff241 made 'flat' pervasive (again);
wenzelm
parents: 19454
diff changeset
   514
           of NONE => get (i + 1) xs
19233
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   515
            | SOME y => SOME (i, y)
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   516
  in get 0 end;
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   517
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   518
val flat = List.concat;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   519
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   520
fun unflat (xs :: xss) ys =
19424
b701ea590259 export unflat (again);
wenzelm
parents: 19383
diff changeset
   521
      let val (ps, qs) = chop (length xs) ys
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   522
      in ps :: unflat xss qs end
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   523
  | unflat [] [] = []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   524
  | unflat _ _ = raise UnequalLengths;
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   525
21479
63e7eb863ae6 moved string_of_pair/list/option to structure ML_Syntax;
wenzelm
parents: 21395
diff changeset
   526
fun burrow f xss = unflat xss (f (flat xss));
18359
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   527
18549
5308a6ea3b96 rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents: 18514
diff changeset
   528
fun fold_burrow f xss s =
5308a6ea3b96 rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents: 18514
diff changeset
   529
  apfst (unflat xss) (f (flat xss) s);
18359
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   530
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   531
(*separate s [x1, x2, ..., xn]  ===>  [x1, s, x2, s, ..., s, xn]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   532
fun separate s (x :: (xs as _ :: _)) = x :: s :: separate s xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   533
  | separate _ xs = xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   534
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   535
(*make the list [x, x, ..., x] of length n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   536
fun replicate n (x: 'a) : 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   537
  let fun rep (0, xs) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   538
        | rep (n, xs) = rep (n - 1, x :: xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   539
  in
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   540
    if n < 0 then raise Subscript
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   541
    else rep (n, [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   542
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   543
14926
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   544
fun translate_string f = String.translate (f o String.str);
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   545
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   546
(*multiply [a, b, c, ...] * [xs, ys, zs, ...]*)
18148
7921f41165cf curried multiply;
wenzelm
parents: 18050
diff changeset
   547
fun multiply [] _ = []
7921f41165cf curried multiply;
wenzelm
parents: 18050
diff changeset
   548
  | 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
   549
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   550
(*direct product*)
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   551
fun product _ [] = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   552
  | product [] _ = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   553
  | product (x :: xs) ys = map (pair x) ys @ product xs ys;
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   554
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   555
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   556
(* filter *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   557
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   558
(*copy the list preserving elements that satisfy the predicate*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   559
val filter = List.filter;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   560
fun filter_out f = filter (not o f);
19483
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   561
val map_filter = List.mapPartial;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   562
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   563
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   564
(* lists of pairs *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   565
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   566
exception UnequalLengths;
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   567
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   568
fun map2 _ [] [] = []
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   569
  | map2 f (x :: xs) (y :: ys) = f x y :: map2 f xs ys
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   570
  | map2 _ _ _ = raise UnequalLengths;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   571
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   572
fun fold2 f [] [] z = z
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   573
  | fold2 f (x :: xs) (y :: ys) z = fold2 f xs ys (f x y z)
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   574
  | fold2 f _ _ _ = raise UnequalLengths;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   575
19799
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   576
fun zip_options (x :: xs) (SOME y :: ys) = (x, y) :: zip_options xs ys
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   577
  | zip_options (_ :: xs) (NONE :: ys) = zip_options xs ys
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   578
  | zip_options _ [] = []
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   579
  | zip_options [] _ = raise UnequalLengths;
4956
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
   580
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   581
(*combine two lists forming a list of pairs:
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   582
  [x1, ..., xn] ~~ [y1, ..., yn]  ===>  [(x1, y1), ..., (xn, yn)]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   583
fun [] ~~ [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   584
  | (x :: xs) ~~ (y :: ys) = (x, y) :: (xs ~~ ys)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   585
  | _ ~~ _ = raise UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   586
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   587
(*inverse of ~~; the old 'split':
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   588
  [(x1, y1), ..., (xn, yn)]  ===>  ([x1, ..., xn], [y1, ..., yn])*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   589
val split_list = ListPair.unzip;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   590
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   591
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   592
(* prefixes, suffixes *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   593
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   594
fun is_prefix _ [] _ = true
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   595
  | 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
   596
  | is_prefix eq _ _ = false;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   597
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   598
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., x(i-1)], [xi, ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   599
   where xi is the first element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   600
fun take_prefix (pred : 'a -> bool)  (xs: 'a list) : 'a list * 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   601
  let fun take (rxs, []) = (rev rxs, [])
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   602
        | take (rxs, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   603
            if  pred x  then  take(x :: rxs, xs)  else  (rev rxs, x :: xs)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   604
  in  take([], xs)  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   605
20108
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   606
fun chop_prefix eq ([], ys) = ([], ([], ys))
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   607
  | chop_prefix eq (xs, []) = ([], (xs, []))
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   608
  | chop_prefix eq (xs as x :: xs', ys as y :: ys') =
20108
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   609
      if eq (x, y) then
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   610
        let val (ps', xys'') = chop_prefix eq (xs', ys')
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   611
        in (x :: ps', xys'') end
20108
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   612
      else ([], (xs, ys));
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   613
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   614
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., xi], [x(i+1), ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   615
   where xi is the last element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   616
fun take_suffix _ [] = ([], [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   617
  | take_suffix pred (x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   618
      (case take_suffix pred xs of
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   619
        ([], sffx) => if pred x then ([], x :: sffx) else ([x], sffx)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   620
      | (prfx, sffx) => (x :: prfx, sffx));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   621
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   622
fun prefixes1 [] = []
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   623
  | prefixes1 (x :: xs) = map (cons x) ([] :: prefixes1 xs);
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   624
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   625
fun prefixes xs = [] :: prefixes1 xs;
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   626
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   627
fun suffixes1 xs = map rev (prefixes1 (rev xs));
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   628
fun suffixes xs = [] :: suffixes1 xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   629
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   630
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   631
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   632
(** integers **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   633
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   634
fun inc i = (i := ! i + 1; ! i);
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   635
fun dec i = (i := ! i - 1; ! i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   636
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   637
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   638
(* lists of integers *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   639
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   640
(*make the list [from, from + 1, ..., to]*)
21859
03e1e75ad2e5 tuned -- accomodate Alice;
wenzelm
parents: 21565
diff changeset
   641
fun (i upto j) =
03e1e75ad2e5 tuned -- accomodate Alice;
wenzelm
parents: 21565
diff changeset
   642
  if i > j then [] else i :: (i + 1 upto j);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   643
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   644
(*make the list [from, from - 1, ..., to]*)
21859
03e1e75ad2e5 tuned -- accomodate Alice;
wenzelm
parents: 21565
diff changeset
   645
fun (i downto j) =
03e1e75ad2e5 tuned -- accomodate Alice;
wenzelm
parents: 21565
diff changeset
   646
  if i < j then [] else i :: (i - 1 downto j);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   647
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   648
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   649
(* convert integers to strings *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   650
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   651
(*expand the number in the given base;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   652
  example: radixpand (2, 8) gives [1, 0, 0, 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   653
fun radixpand (base, num) : int list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   654
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   655
    fun radix (n, tail) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   656
      if n < base then n :: tail
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   657
      else radix (n div base, (n mod base) :: tail)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   658
  in radix (num, []) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   659
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   660
(*expands a number into a string of characters starting from "zerochar";
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   661
  example: radixstring (2, "0", 8) gives "1000"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   662
fun radixstring (base, zerochar, num) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   663
  let val offset = ord zerochar;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   664
      fun chrof n = chr (offset + n)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   665
  in implode (map chrof (radixpand (base, num))) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   666
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   667
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   668
val string_of_int = Int.toString;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   669
21942
d6218d0f9ec3 added signed_string_of_int (pruduces proper - instead of SML's ~);
wenzelm
parents: 21920
diff changeset
   670
fun signed_string_of_int i =
d6218d0f9ec3 added signed_string_of_int (pruduces proper - instead of SML's ~);
wenzelm
parents: 21920
diff changeset
   671
  if i < 0 then "-" ^ string_of_int (~ i) else string_of_int i;
d6218d0f9ec3 added signed_string_of_int (pruduces proper - instead of SML's ~);
wenzelm
parents: 21920
diff changeset
   672
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   673
fun string_of_indexname (a, 0) = a
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   674
  | string_of_indexname (a, i) = a ^ "_" ^ string_of_int i;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   675
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   676
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
   677
(* 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
   678
20095
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   679
fun read_intinf radix cs =
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   680
  let
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   681
    val zero = ord "0";
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   682
    val limit = zero + radix;
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   683
    fun scan (num, []) = (num, [])
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   684
      | scan (num, c :: cs) =
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   685
        if zero <= ord c andalso ord c < limit then
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   686
          scan (IntInf.fromInt radix * num + IntInf.fromInt (ord c - zero), cs)
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   687
        else (num, c :: cs);
21859
03e1e75ad2e5 tuned -- accomodate Alice;
wenzelm
parents: 21565
diff changeset
   688
  in scan (IntInf.fromInt 0, cs) end;
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
   689
20095
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   690
fun read_int cs = apfst IntInf.toInt (read_intinf 10 cs);
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
   691
20095
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   692
fun oct_char s = chr (IntInf.toInt (#1 (read_intinf 8 (explode s))));
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
   693
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
   694
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
   695
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   696
(** strings **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   697
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   698
(* functions tuned for strings, avoiding explode *)
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   699
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   700
fun nth_string str i =
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   701
  (case try String.substring (str, i, 1) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   702
    SOME s => s
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   703
  | NONE => raise Subscript);
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   704
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   705
fun fold_string f str x0 =
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   706
  let
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   707
    val n = size str;
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   708
    fun iter (x, i) =
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   709
      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
   710
  in iter (x0, 0) end;
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   711
14968
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   712
fun exists_string pred str =
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   713
  let
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   714
    val n = size str;
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   715
    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
   716
  in ex 0 end;
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   717
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   718
fun forall_string pred = not o exists_string (not o pred);
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   719
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   720
(*enclose in brackets*)
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   721
fun enclose lpar rpar str = lpar ^ str ^ rpar;
6642
732af87c0650 strip_quotes replaced by unenclose;
wenzelm
parents: 6510
diff changeset
   722
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
   723
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   724
(*simple quoting (does not escape special chars)*)
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   725
val quote = enclose "\"" "\"";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   726
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   727
(*space_implode "..." (explode "hello") = "h...e...l...l...o"*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   728
fun space_implode a bs = implode (separate a bs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   729
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   730
val commas = space_implode ", ";
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   731
val commas_quote = commas o map quote;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   732
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   733
(*concatenate messages, one per line, into a string*)
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   734
val cat_lines = space_implode "\n";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   735
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   736
(*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
   737
fun space_explode _ "" = []
21899
dab16d14db60 string primtives
paulson
parents: 21859
diff changeset
   738
  | space_explode sep s = String.fields (fn c => str c = sep) s;
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   739
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   740
val split_lines = space_explode "\n";
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   741
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
   742
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
   743
  | 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
   744
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   745
fun untabify chs =
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   746
  let
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   747
    val tab_width = 8;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   748
22582
f315da9400fb removed obsolete scanwords (see obsolete tactic.ML:rename_tac for its only use);
wenzelm
parents: 22567
diff changeset
   749
    fun untab pos [] ys = rev ys
22256
23f3ca04d3b3 Made untabify function tail recursive.
berghofe
parents: 22142
diff changeset
   750
      | untab pos ("\n" :: xs) ys = untab 0 xs ("\n" :: ys)
23f3ca04d3b3 Made untabify function tail recursive.
berghofe
parents: 22142
diff changeset
   751
      | untab pos ("\t" :: xs) ys =
22582
f315da9400fb removed obsolete scanwords (see obsolete tactic.ML:rename_tac for its only use);
wenzelm
parents: 22567
diff changeset
   752
          let val d = tab_width - (pos mod tab_width)
23718
8ff68cb5860c simplified funpow, untabify;
wenzelm
parents: 23424
diff changeset
   753
          in untab (pos + d) xs (funpow d (cons " ") ys) end
22256
23f3ca04d3b3 Made untabify function tail recursive.
berghofe
parents: 22142
diff changeset
   754
      | untab pos (c :: xs) ys = untab (pos + 1) xs (c :: ys);
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   755
  in
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   756
    if not (exists (fn c => c = "\t") chs) then chs
22256
23f3ca04d3b3 Made untabify function tail recursive.
berghofe
parents: 22142
diff changeset
   757
    else untab 0 chs []
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   758
  end;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   759
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   760
fun prefix prfx s = prfx ^ s;
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   761
fun suffix sffx s = s ^ sffx;
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   762
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   763
fun unprefix prfx s =
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   764
  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
   765
  else raise Fail "unprefix";
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   766
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   767
fun unsuffix sffx s =
17061
1df7ad3a6082 tuned unsuffix/unprefix;
wenzelm
parents: 17032
diff changeset
   768
  if String.isSuffix sffx s then String.substring (s, 0, size s - size sffx)
1df7ad3a6082 tuned unsuffix/unprefix;
wenzelm
parents: 17032
diff changeset
   769
  else raise Fail "unsuffix";
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   770
10951
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   771
fun replicate_string 0 _ = ""
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   772
  | replicate_string 1 a = a
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   773
  | replicate_string k a =
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   774
      if k mod 2 = 0 then replicate_string (k div 2) (a ^ a)
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   775
      else replicate_string (k div 2) (a ^ a) ^ a;
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   776
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   777
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   778
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   779
(** lists as sets -- see also Pure/General/ord_list.ML **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   780
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   781
(*canonical member, insert, remove*)
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   782
fun member eq list x =
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   783
  let
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   784
    fun memb [] = false
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   785
      | memb (y :: ys) = eq (x, y) orelse memb ys;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   786
  in memb list end;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   787
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   788
fun insert eq x xs = if member eq xs x then xs else x :: xs;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   789
fun remove eq x xs = if member eq xs x then filter_out (fn y => eq (x, y)) xs else xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   790
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   791
fun subtract eq = fold (remove eq);
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   792
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   793
fun merge _ ([], ys) = ys
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   794
  | merge eq (xs, ys) = fold_rev (insert eq) ys xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   795
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   796
(*old-style infixes*)
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   797
fun x mem xs = member (op =) xs x;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   798
fun (x: int) mem_int xs = member (op =) xs x;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   799
fun (x: string) mem_string xs = member (op =) xs x;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   800
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   801
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   802
(*union of sets represented as lists: no repetitions*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   803
fun xs union [] = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   804
  | [] union ys = ys
20854
f9cf9e62d11c insert replacing ins ins_int ins_string
haftmann
parents: 20510
diff changeset
   805
  | (x :: xs) union ys = xs union (insert (op =) x ys);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   806
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   807
(*union of sets, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   808
fun (xs:int list) union_int [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   809
  | [] union_int ys = ys
20854
f9cf9e62d11c insert replacing ins ins_int ins_string
haftmann
parents: 20510
diff changeset
   810
  | (x :: xs) union_int ys = xs union_int (insert (op =) x ys);
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   811
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   812
(*union of sets, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   813
fun (xs:string list) union_string [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   814
  | [] union_string ys = ys
20854
f9cf9e62d11c insert replacing ins ins_int ins_string
haftmann
parents: 20510
diff changeset
   815
  | (x :: xs) union_string ys = xs union_string (insert (op =) x ys);
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   816
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   817
(*generalized union*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   818
fun gen_union eq (xs, []) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   819
  | gen_union eq ([], ys) = ys
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   820
  | gen_union eq (x :: xs, ys) = gen_union eq (xs, insert eq x ys);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   821
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   822
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   823
(*intersection*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   824
fun [] inter ys = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   825
  | (x :: xs) inter ys =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   826
      if x mem ys then x :: (xs inter ys) else xs inter ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   827
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   828
(*intersection, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   829
fun ([]:int list) inter_int ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   830
  | (x :: xs) inter_int ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   831
      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
   832
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   833
(*intersection, optimized version for strings *)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   834
fun ([]:string list) inter_string ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   835
  | (x :: xs) inter_string ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   836
      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
   837
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   838
(*generalized intersection*)
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   839
fun gen_inter eq ([], ys) = []
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   840
  | gen_inter eq (x::xs, ys) =
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   841
      if member eq ys x then x :: gen_inter eq (xs, ys)
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   842
      else gen_inter eq (xs, ys);
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   843
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   844
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   845
(*subset*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   846
fun [] subset ys = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   847
  | (x :: xs) subset ys = x mem ys andalso xs subset ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   848
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   849
(*subset, optimized version for ints*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   850
fun ([]: int list) subset_int ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   851
  | (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
   852
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   853
(*subset, optimized version for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   854
fun ([]: string list) subset_string ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   855
  | (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
   856
4363
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   857
(*set equality*)
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   858
fun eq_set (xs, ys) =
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   859
  xs = ys orelse (xs subset ys andalso ys subset xs);
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   860
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   861
(*set equality for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   862
fun eq_set_string ((xs: string list), ys) =
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   863
  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
   864
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   865
fun gen_subset eq (xs, ys) = forall (member eq ys) xs;
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   866
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   867
fun gen_eq_set eq (xs, ys) =
20348
d59364649bcc abandoned equal_list in favor for eq_list
haftmann
parents: 20137
diff changeset
   868
  eq_list eq (xs, ys) orelse
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   869
    (gen_subset eq (xs, ys) andalso gen_subset (eq o swap) (ys, xs));
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   870
265
443dc2c37583 added eq_set;
wenzelm
parents: 255
diff changeset
   871
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   872
(*removing an element from a list WITHOUT duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   873
fun (y :: ys) \ x = if x = y then ys else y :: (ys \ x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   874
  | [] \ x = [];
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   875
fun ys \\ xs = foldl (op \) (ys,xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   876
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   877
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   878
(*makes a list of the distinct members of the input; preserves order, takes
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   879
  first of equal elements*)
19046
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
   880
fun distinct eq lst =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   881
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   882
    fun dist (rev_seen, []) = rev rev_seen
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   883
      | dist (rev_seen, x :: xs) =
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   884
          if member eq rev_seen x then dist (rev_seen, xs)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   885
          else dist (x :: rev_seen, xs);
19046
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
   886
  in dist ([], lst) end;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   887
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   888
(*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
   889
  order, takes first of equal elements*)
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
   890
fun duplicates eq lst =
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   891
  let
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   892
    fun dups (rev_dups, []) = rev rev_dups
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   893
      | dups (rev_dups, x :: xs) =
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   894
          if member eq rev_dups x orelse not (member eq xs x) then
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   895
            dups (rev_dups, xs)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   896
          else dups (x :: rev_dups, xs);
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
   897
  in dups ([], lst) end;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   898
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   899
fun has_duplicates eq =
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   900
  let
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   901
    fun dups [] = false
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   902
      | dups (x :: xs) = member eq xs x orelse dups xs;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   903
  in dups end;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   904
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   905
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   906
22142
2b54aa7586e2 Added lists-as-multisets functions
nipkow
parents: 21962
diff changeset
   907
(** lists as multisets **)
2b54aa7586e2 Added lists-as-multisets functions
nipkow
parents: 21962
diff changeset
   908
2b54aa7586e2 Added lists-as-multisets functions
nipkow
parents: 21962
diff changeset
   909
fun remove1 _ _ [] = raise Empty
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   910
  | remove1 eq y (x::xs) = if eq (y, x) then xs else x :: remove1 eq y xs;
22142
2b54aa7586e2 Added lists-as-multisets functions
nipkow
parents: 21962
diff changeset
   911
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   912
fun submultiset _ ([], _)  = true
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
   913
  | submultiset eq (x :: xs, ys) = member eq ys x andalso submultiset eq (xs, remove1 eq x ys);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   914
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   915
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   916
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   917
(** orders **)
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   918
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
   919
fun is_equal EQUAL = true
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
   920
  | is_equal _ = false;
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
   921
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   922
fun rev_order LESS = GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   923
  | rev_order EQUAL = EQUAL
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   924
  | rev_order GREATER = LESS;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   925
4479
708d7c26db5b improved comment;
wenzelm
parents: 4445
diff changeset
   926
(*assume rel is a linear strict order*)
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   927
fun make_ord rel (x, y) =
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   928
  if rel (x, y) then LESS
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   929
  else if rel (y, x) then GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   930
  else EQUAL;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   931
15051
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
   932
val int_ord = Int.compare;
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
   933
val string_ord = String.compare;
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   934
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
   935
fun fast_string_ord (s1, s2) =
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
   936
  (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
   937
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   938
fun option_ord ord (SOME x, SOME y) = ord (x, y)
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   939
  | option_ord _ (NONE, NONE) = EQUAL
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   940
  | option_ord _ (NONE, SOME _) = LESS
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   941
  | option_ord _ (SOME _, NONE) = GREATER;
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   942
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   943
(*lexicographic product*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   944
fun prod_ord a_ord b_ord ((x, y), (x', y')) =
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   945
  (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
   946
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   947
(*dictionary order -- in general NOT well-founded!*)
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
   948
fun dict_ord elem_ord (x :: xs, y :: ys) =
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
   949
      (case elem_ord (x, y) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord)
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
   950
  | dict_ord _ ([], []) = EQUAL
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   951
  | dict_ord _ ([], _ :: _) = LESS
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
   952
  | dict_ord _ (_ :: _, []) = GREATER;
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   953
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   954
(*lexicographic product of lists*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   955
fun list_ord elem_ord (xs, ys) =
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
   956
  (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
   957
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   958
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   959
(* sorting *)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   960
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   961
(*quicksort -- stable, i.e. does not reorder equal elements*)
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   962
fun quicksort unique ord =
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   963
  let
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   964
    fun qsort [] = []
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   965
      | qsort (xs as [_]) = xs
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   966
      | qsort (xs as [x, y]) =
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   967
          (case ord (x, y) of
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   968
            LESS => xs
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   969
          | EQUAL => if unique then [x] else xs
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   970
          | GREATER => [y, x])
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   971
      | qsort xs =
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   972
          let val (lts, eqs, gts) = part (nth xs (length xs div 2)) xs
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   973
          in qsort lts @ eqs @ qsort gts end
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   974
    and part _ [] = ([], [], [])
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   975
      | part pivot (x :: xs) = add (ord (x, pivot)) x (part pivot xs)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   976
    and add LESS x (lts, eqs, gts) = (x :: lts, eqs, gts)
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   977
      | add EQUAL x (lts, [], gts) = (lts, [x], gts)
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   978
      | 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
   979
      | add GREATER x (lts, eqs, gts) = (lts, eqs, x :: gts);
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   980
  in qsort end;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   981
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   982
fun sort ord = quicksort false ord;
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   983
fun sort_distinct ord = quicksort true ord;
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   984
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   985
val sort_strings = sort string_ord;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   986
fun sort_wrt sel xs = sort (string_ord o pairself sel) xs;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   987
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   988
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   989
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   990
(** random numbers **)
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   991
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   992
exception RANDOM;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   993
14618
068bb99f3ebd Fixed bug in rmod that caused an overflow exception in SML/NJ.
berghofe
parents: 14472
diff changeset
   994
fun rmod x y = x - y * Real.realFloor (x / y);
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   995
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   996
local
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   997
  val a = 16807.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   998
  val m = 2147483647.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   999
  val random_seed = ref 1.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1000
in
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1001
23922
707639e9497d marked some CRITICAL sections (for multithreading);
wenzelm
parents: 23860
diff changeset
  1002
fun random () = CRITICAL (fn () =>
707639e9497d marked some CRITICAL sections (for multithreading);
wenzelm
parents: 23860
diff changeset
  1003
  let val r = rmod (a * ! random_seed) m
707639e9497d marked some CRITICAL sections (for multithreading);
wenzelm
parents: 23860
diff changeset
  1004
  in (random_seed := r; r) end);
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1005
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1006
end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1007
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1008
fun random_range l h =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1009
  if h < l orelse l < 0 then raise RANDOM
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1010
  else l + Real.floor (rmod (random ()) (real (h - l + 1)));
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1011
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
  1012
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
  1013
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1014
fun frequency xs =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1015
  let
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1016
    val sum = foldl op + (0, map fst xs);
17756
d4a35f82fbb4 minor tweaks for Poplog/ML;
wenzelm
parents: 17545
diff changeset
  1017
    fun pick n ((k: int, x) :: xs) =
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1018
      if n <= k then x else pick (n - k) xs
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1019
  in pick (random_range 1 sum) xs end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1020
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1021
23220
9e04da929160 added flip (from General/basics.ML);
wenzelm
parents: 23202
diff changeset
  1022
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1023
(** misc **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1024
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1025
fun divide_and_conquer decomp x =
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1026
  let val (ys, recomb) = decomp x
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1027
  in recomb (map (divide_and_conquer decomp) ys) end;
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1028
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1029
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1030
(*Partition a list into buckets  [ bi, b(i+1), ..., bj ]
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1031
   putting x in bk if p(k)(x) holds.  Preserve order of elements if possible.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1032
fun partition_list p i j =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1033
  let fun part k xs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1034
            if k>j then
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1035
              (case xs of [] => []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1036
                         | _ => raise Fail "partition_list")
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1037
            else
19691
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1038
            let val (ns, rest) = List.partition (p k) xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1039
            in  ns :: part(k+1)rest  end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1040
  in  part i end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1041
19691
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1042
fun partition_eq (eq:'a * 'a -> bool) =
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1043
  let
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1044
    fun part [] = []
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1045
      | part (x :: ys) =
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1046
          let val (xs, xs') = List.partition (fn y => eq (x, y)) ys
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1047
          in (x::xs)::(part xs') end
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1048
  in part end;
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1049
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1050
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1051
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1052
(* generating identifiers *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1053
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1054
(** Freshly generated identifiers; supplied prefix MUST start with a letter **)
22369
a7263f330494 gensym: removed bits of dead code;
wenzelm
parents: 22368
diff changeset
  1055
local
a7263f330494 gensym: removed bits of dead code;
wenzelm
parents: 22368
diff changeset
  1056
(*Maps 0-61 to A-Z, a-z, 0-9; exclude _ or ' to avoid clash with internal/unusual indentifiers*)
22582
f315da9400fb removed obsolete scanwords (see obsolete tactic.ML:rename_tac for its only use);
wenzelm
parents: 22567
diff changeset
  1057
fun gensym_char i =
22368
0e0fe77d4768 gensym no longer includes ' or _ in names (trailing _ is bad)
paulson
parents: 22256
diff changeset
  1058
  if i<26 then chr (ord "A" + i)
0e0fe77d4768 gensym no longer includes ' or _ in names (trailing _ is bad)
paulson
parents: 22256
diff changeset
  1059
  else if i<52 then chr (ord "a" + i - 26)
22369
a7263f330494 gensym: removed bits of dead code;
wenzelm
parents: 22368
diff changeset
  1060
  else chr (ord "0" + i - 52);
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1061
22369
a7263f330494 gensym: removed bits of dead code;
wenzelm
parents: 22368
diff changeset
  1062
val char_vec = Vector.tabulate (62, gensym_char);
a7263f330494 gensym: removed bits of dead code;
wenzelm
parents: 22368
diff changeset
  1063
fun newid n = implode (map (fn i => Vector.sub (char_vec, i)) (radixpand (62, n)));
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1064
22368
0e0fe77d4768 gensym no longer includes ' or _ in names (trailing _ is bad)
paulson
parents: 22256
diff changeset
  1065
val gensym_seed = ref 0;
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1066
22369
a7263f330494 gensym: removed bits of dead code;
wenzelm
parents: 22368
diff changeset
  1067
in
23922
707639e9497d marked some CRITICAL sections (for multithreading);
wenzelm
parents: 23860
diff changeset
  1068
  fun gensym pre = pre ^ newid (CRITICAL (fn () => inc gensym_seed));
22369
a7263f330494 gensym: removed bits of dead code;
wenzelm
parents: 22368
diff changeset
  1069
end;
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1070
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1071
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1072
(* stamps and serial numbers *)
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1073
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1074
type stamp = unit ref;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1075
val stamp: unit -> stamp = ref;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1076
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1077
type serial = int;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1078
local val count = ref 0
23922
707639e9497d marked some CRITICAL sections (for multithreading);
wenzelm
parents: 23860
diff changeset
  1079
in fun serial () = CRITICAL (fn () => inc count) end;
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1080
19512
94cd541dc8fa added serial_string;
wenzelm
parents: 19483
diff changeset
  1081
val serial_string = string_of_int o serial;
94cd541dc8fa added serial_string;
wenzelm
parents: 19483
diff changeset
  1082
16535
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1083
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1084
(* generic objects *)
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1085
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1086
(*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
  1087
  constructors at any time*)
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1088
structure Object = struct type T = exn end;
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1089
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1090
end;
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1091
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
  1092
structure BasicLibrary: BASIC_LIBRARY = Library;
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
  1093
open BasicLibrary;