src/Pure/library.ML
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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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    Copyright   1992  University of Cambridge
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Basic library: functions, options, pairs, booleans, lists, integers,
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strings, lists as sets, association lists, generic tables, balanced
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trees, orders, I/O and diagnostics, timing, misc.
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*)
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infix |> ~~ \ \\ ins ins_string ins_int orf andf prefix upto downto
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  mem mem_int mem_string union union_int union_string inter inter_int
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  inter_string subset subset_int subset_string;
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signature LIBRARY =
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sig
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  (*functions*)
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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 I: 'a -> 'a
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  val K: 'a -> 'b -> 'a
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  val |> : 'a * ('a -> 'b) -> 'b
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  val apl: 'a * ('a * 'b -> 'c) -> 'b -> 'c
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  val apr: ('a * 'b -> 'c) * 'b -> 'a -> 'c
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  val funpow: int -> ('a -> 'a) -> 'a -> 'a
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  (*stamps*)
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  type stamp
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  val stamp: unit -> stamp
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  (*options*)
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  datatype 'a option = None | Some of 'a
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  exception OPTION
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  val the: 'a option -> 'a
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  val if_none: 'a option -> 'a -> 'a
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  val is_some: 'a option -> bool
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  val is_none: 'a option -> bool
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  val apsome: ('a -> 'b) -> 'a option -> 'b option
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  val can: ('a -> 'b) -> 'a -> bool
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  val try: ('a -> 'b) -> 'a -> 'b option
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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 * 'b) * (''a * 'c) -> bool
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  val eq_snd: ('a * ''b) * ('c * ''b) -> 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 setmp: 'a ref -> 'a -> ('b -> 'c) -> 'b -> 'c
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  (*lists*)
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  exception LIST of string
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  val null: 'a list -> bool
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  val hd: 'a list -> 'a
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  val tl: 'a list -> 'a list
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  val cons: 'a -> 'a list -> 'a list
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  val append: 'a list -> 'a list -> 'a list
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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 foldr1: ('a * 'a -> 'a) -> 'a list -> 'a
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  val length: 'a list -> int
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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 nth_elem: int * 'a list -> 'a
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  val last_elem: 'a list -> 'a
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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 flat: 'a list list -> 'a list
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  val seq: ('a -> unit) -> 'a list -> unit
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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 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 mapfilter: ('a -> 'b option) -> 'a list -> 'b list
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  val map2: ('a * 'b -> 'c) -> 'a list * 'b list -> 'c list
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  val exists2: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val forall2: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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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 prefix: ''a list * ''a list -> bool
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  val take_prefix: ('a -> bool) -> 'a list -> 'a list * 'a list
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  val take_suffix: ('a -> bool) -> 'a list -> 'a list * 'a list
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  (*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 downto0: int list * int -> bool
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  val radixpand: int * int -> int list
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  val radixstring: int * string * int -> string
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  val string_of_int: int -> string
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  val string_of_indexname: string * int -> string
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  (*strings*)
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  val beginning: string list -> string
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  val enclose: string -> string -> 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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  (*lists as sets*)
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  val mem: ''a * ''a list -> bool
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  val mem_int: int * int list -> bool
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  val mem_string: string * string list -> bool
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  val gen_mem: ('a * 'b -> bool) -> 'a * 'b list -> bool
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  val ins: ''a * ''a list -> ''a list
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  val ins_int: int * int list -> int list
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  val ins_string: string * string list -> string list
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  val gen_ins: ('a * 'a -> bool) -> 'a * 'a list -> 'a list
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  val 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 inter: ''a list * ''a list -> ''a list
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  val inter_int: int list * int list -> int list
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  val inter_string: string list * string list -> string list
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  val subset: ''a list * ''a list -> bool
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  val subset_int: int list * int list -> bool
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  val subset_string: string list * string list -> bool
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  val eq_set: ''a list * ''a list -> bool
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  val eq_set_string: string list * string list -> bool
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  val gen_subset: ('a * 'b -> bool) -> 'a list * 'b list -> bool
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  val \ : ''a list * ''a -> ''a list
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  val \\ : ''a list * ''a list -> ''a list
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  val gen_rem: ('a * 'b -> bool) -> 'a list * 'b -> 'a list
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  val gen_rems: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
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  val gen_distinct: ('a * 'a -> bool) -> 'a list -> 'a list
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  val distinct: ''a list -> ''a list
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  val findrep: ''a list -> ''a list
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  val gen_duplicates: ('a * 'a -> bool) -> 'a list -> 'a list
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  val duplicates: ''a list -> ''a list
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  (*association lists*)
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  val assoc: (''a * 'b) list * ''a -> 'b option
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  val assoc_int: (int * 'a) list * int -> 'a option
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  val assoc_string: (string * 'a) list * string -> 'a option
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  val assoc_string_int: ((string * int) * 'a) list * (string * int) -> 'a option
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  val assocs: (''a * 'b list) list -> ''a -> 'b list
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  val assoc2: (''a * (''b * 'c) list) list * (''a * ''b) -> 'c option
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  val gen_assoc: ('a * 'b -> bool) -> ('b * 'c) list * 'a -> 'c option
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  val overwrite: (''a * 'b) list * (''a * 'b) -> (''a * 'b) list
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  val gen_overwrite: ('a * 'a -> bool) -> ('a * 'b) list * ('a * 'b) -> ('a * 'b) list
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  (*generic tables*)
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  val generic_extend: ('a * 'a -> bool)
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    -> ('b -> 'a list) -> ('a list -> 'b) -> 'b -> 'a list -> 'b
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  val generic_merge: ('a * 'a -> bool) -> ('b -> 'a list) -> ('a list -> 'b) -> 'b -> 'b -> 'b
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  val extend_list: ''a list -> ''a list -> ''a list
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  val merge_lists: ''a list -> ''a list -> ''a list
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  val merge_alists: (''a * 'b) list -> (''a * 'b) list -> (''a * 'b) list
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  val merge_rev_lists: ''a list -> ''a list -> ''a list
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  (*balanced trees*)
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  exception Balance
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  val fold_bal: ('a * 'a -> 'a) -> 'a list -> 'a
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  val access_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> int -> 'a
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  val accesses_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> 'a list
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  (*orders*)
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  datatype order = EQUAL | GREATER | LESS
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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 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_strings: string list -> string list
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  val sort_wrt: ('a -> string) -> 'a list -> 'a list
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  (*I/O and diagnostics*)
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  val cd: string -> unit
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  val pwd: unit -> string
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  val prs_fn: (string -> unit) ref
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  val warning_fn: (string -> unit) ref
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  val error_fn: (string -> unit) ref
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  val prs: string -> unit
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  val writeln: string -> unit
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  val warning: string -> unit
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  exception ERROR
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  val error_msg: string -> unit
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  val error: string -> 'a
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  val sys_error: string -> 'a
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  val assert: bool -> string -> unit
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  val deny: bool -> string -> unit
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  val assert_all: ('a -> bool) -> 'a list -> ('a -> string) -> unit
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  datatype 'a error = Error of string | OK of 'a
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  val get_error: 'a error -> string option
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  val get_ok: 'a error -> 'a option
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  val handle_error: ('a -> 'b) -> 'a -> 'b error
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  (*timing*)
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  val cond_timeit: bool -> (unit -> 'a) -> 'a
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  val timeit: (unit -> 'a) -> 'a
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  val timeap: ('a -> 'b) -> 'a -> 'b
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  (*misc*)
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  val make_keylist: ('a -> 'b) -> 'a list -> ('a * 'b) list
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  val keyfilter: ('a * ''b) list -> ''b -> 'a list
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  val partition: ('a -> bool) -> 'a list -> 'a list * 'a list
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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 transitive_closure: (string * string list) list -> (string * string list) list
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  val init_gensym: unit -> unit
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  val gensym: string -> string
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  val bump_int_list: string list -> string list
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  val bump_list: string list * string -> string list
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  val bump_string: string -> string
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  val scanwords: (string -> bool) -> string list -> string list
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  datatype 'a mtree = Join of 'a * 'a mtree list
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  type object
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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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(*handy combinators*)
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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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fun I x = x;
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fun K x y = x;
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(*reverse apply*)
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fun (x |> f) = f x;
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(*application of (infix) operator to its left or right argument*)
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fun apl (x, f) y = f (x, y);
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fun apr (f, y) x = f (x, y);
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(*function exponentiation: f(...(f x)...) with n applications of f*)
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fun funpow n f x =
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  let fun rep (0, x) = x
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        | rep (n, x) = rep (n - 1, f x)
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  in rep (n, x) end;
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(** stamps **)
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type stamp = unit ref;
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val stamp: unit -> stamp = ref;
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(** options **)
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datatype 'a option = None | Some of 'a;
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exception OPTION;
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fun the (Some x) = x
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  | the None = raise OPTION;
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(*strict!*)
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fun if_none None y = y
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  | if_none (Some x) _ = x;
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fun is_some (Some _) = true
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  | is_some None = false;
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fun is_none (Some _) = false
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  | is_none None = true;
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fun apsome f (Some x) = Some (f x)
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  | apsome _ None = None;
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(*handle partial functions*)
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fun can f x = (f x; true) handle _ => false;
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fun try f x = Some (f x) handle _ => None;
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(** pairs **)
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fun pair x y = (x, y);
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fun rpair x y = (y, x);
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fun fst (x, y) = x;
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fun snd (x, y) = y;
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fun eq_fst ((x1, _), (x2, _)) = x1 = x2;
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fun eq_snd ((_, y1), (_, y2)) = y1 = y2;
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fun swap (x, y) = (y, x);
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(*apply function to components*)
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fun apfst f (x, y) = (f x, y);
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fun apsnd f (x, y) = (x, f y);
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fun pairself f (x, y) = (f x, f y);
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(** booleans **)
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(* equality *)
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fun equal x y = x = y;
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fun not_equal x y = x <> y;
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(* operators for combining predicates *)
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fun (p orf q) = fn x => p x orelse q x;
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fun (p andf q) = fn x => p x andalso q x;
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diff changeset
   331
efd6b4bb14dd major cleanup and reorganisation;
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diff changeset
   332
efd6b4bb14dd major cleanup and reorganisation;
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diff changeset
   333
(* predicates on lists *)
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diff changeset
   334
efd6b4bb14dd major cleanup and reorganisation;
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parents: 205
diff changeset
   335
(*exists pred [x1, ..., xn] ===> pred x1 orelse ... orelse pred xn*)
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diff changeset
   336
fun exists (pred: 'a -> bool) : 'a list -> bool =
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diff changeset
   337
  let fun boolf [] = false
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diff changeset
   338
        | boolf (x :: xs) = pred x orelse boolf xs
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diff changeset
   339
  in boolf end;
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diff changeset
   340
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diff changeset
   341
(*forall pred [x1, ..., xn] ===> pred x1 andalso ... andalso pred xn*)
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diff changeset
   342
fun forall (pred: 'a -> bool) : 'a list -> bool =
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diff changeset
   343
  let fun boolf [] = true
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diff changeset
   344
        | boolf (x :: xs) = pred x andalso boolf xs
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parents: 205
diff changeset
   345
  in boolf end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   346
233
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diff changeset
   347
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   348
(* flags *)
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   349
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   350
fun set flag = (flag := true; true);
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wenzelm
parents: 265
diff changeset
   351
fun reset flag = (flag := false; false);
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wenzelm
parents: 265
diff changeset
   352
fun toggle flag = (flag := not (! flag); ! flag);
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wenzelm
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diff changeset
   353
4212
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diff changeset
   354
(*temporarily set flag, handling errors*)
2978
83a4c4f79dcd renamed set_ap to setmp;
wenzelm
parents: 2958
diff changeset
   355
fun setmp flag value f x =
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
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   356
  let
7837471d2f27 improved inc, dec;
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parents: 2806
diff changeset
   357
    val orig_value = ! flag;
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wenzelm
parents: 2806
diff changeset
   358
    fun return y = (flag := orig_value; y);
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wenzelm
parents: 2806
diff changeset
   359
  in
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parents: 2806
diff changeset
   360
    flag := value;
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parents: 2806
diff changeset
   361
    return (f x handle exn => (return (); raise exn))
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   362
  end;
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parents: 2806
diff changeset
   363
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   364
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   365
efd6b4bb14dd major cleanup and reorganisation;
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parents: 205
diff changeset
   366
(** lists **)
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diff changeset
   367
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parents: 205
diff changeset
   368
exception LIST of string;
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diff changeset
   369
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diff changeset
   370
fun null [] = true
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diff changeset
   371
  | null (_ :: _) = false;
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wenzelm
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diff changeset
   372
efd6b4bb14dd major cleanup and reorganisation;
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diff changeset
   373
fun hd [] = raise LIST "hd"
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diff changeset
   374
  | hd (x :: _) = x;
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diff changeset
   375
efd6b4bb14dd major cleanup and reorganisation;
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diff changeset
   376
fun tl [] = raise LIST "tl"
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diff changeset
   377
  | tl (_ :: xs) = xs;
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wenzelm
parents: 205
diff changeset
   378
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
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diff changeset
   379
fun cons x xs = x :: xs;
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wenzelm
parents: 205
diff changeset
   380
4629
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   381
fun append xs ys = xs @ ys;
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   382
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   383
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   384
(* fold *)
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wenzelm
parents: 205
diff changeset
   385
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   386
(*the following versions of fold are designed to fit nicely with infixes*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   387
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   388
(*  (op @) (e, [x1, ..., xn])  ===>  ((e @ x1) @ x2) ... @ xn
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wenzelm
parents: 205
diff changeset
   389
    for operators that associate to the left (TAIL RECURSIVE)*)
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wenzelm
parents: 205
diff changeset
   390
fun foldl (f: 'a * 'b -> 'a) : 'a * 'b list -> 'a =
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wenzelm
parents: 205
diff changeset
   391
  let fun itl (e, [])  = e
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wenzelm
parents: 205
diff changeset
   392
        | itl (e, a::l) = itl (f(e, a), l)
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wenzelm
parents: 205
diff changeset
   393
  in  itl end;
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wenzelm
parents: 205
diff changeset
   394
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   395
(*  (op @) ([x1, ..., xn], e)  ===>   x1 @ (x2 ... @ (xn @ e))
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wenzelm
parents: 205
diff changeset
   396
    for operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   397
fun foldr f (l, e) =
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wenzelm
parents: 205
diff changeset
   398
  let fun itr [] = e
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wenzelm
parents: 205
diff changeset
   399
        | itr (a::l) = f(a, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   400
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   401
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   402
(*  (op @) [x1, ..., xn]  ===>   x1 @ (x2 ... @ (x[n-1] @ xn))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   403
    for n > 0, operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   404
fun foldr1 f l =
4181
wenzelm
parents: 4139
diff changeset
   405
  let fun itr [x] = x
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   406
        | itr (x::l) = f(x, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   407
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   408
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   409
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   410
(* basic list functions *)
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wenzelm
parents: 205
diff changeset
   411
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   412
(*length of a list, should unquestionably be a standard function*)
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wenzelm
parents: 205
diff changeset
   413
local fun length1 (n, [])  = n   (*TAIL RECURSIVE*)
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wenzelm
parents: 205
diff changeset
   414
        | length1 (n, x :: xs) = length1 (n + 1, xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   415
in  fun length l = length1 (0, l) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   416
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   417
(*take the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   418
fun take (n, []) = []
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wenzelm
parents: 205
diff changeset
   419
  | take (n, x :: xs) =
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wenzelm
parents: 205
diff changeset
   420
      if n > 0 then x :: take (n - 1, xs) else [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   421
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   422
(*drop the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   423
fun drop (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   424
  | drop (n, x :: xs) =
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wenzelm
parents: 205
diff changeset
   425
      if n > 0 then drop (n - 1, xs) else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   426
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   427
(*return nth element of a list, where 0 designates the first element;
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wenzelm
parents: 205
diff changeset
   428
  raise EXCEPTION if list too short*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   429
fun nth_elem NL =
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wenzelm
parents: 205
diff changeset
   430
  (case drop NL of
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wenzelm
parents: 205
diff changeset
   431
    [] => raise LIST "nth_elem"
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wenzelm
parents: 205
diff changeset
   432
  | x :: _ => x);
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wenzelm
parents: 205
diff changeset
   433
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   434
(*last element of a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   435
fun last_elem [] = raise LIST "last_elem"
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   436
  | last_elem [x] = x
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   437
  | last_elem (_ :: xs) = last_elem xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   438
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   439
(*rear decomposition*)
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   440
fun split_last [] = raise LIST "split_last"
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   441
  | split_last [x] = ([], x)
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   442
  | split_last (x :: xs) = apfst (cons x) (split_last xs);
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   443
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   444
(*find the position of an element in a list*)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   445
fun find_index pred =
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   446
  let fun find _ [] = ~1
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   447
        | find n (x :: xs) = if pred x then n else find (n + 1) xs;
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   448
  in find 0 end;
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   449
4224
79e205c3a82c made SML/NJ happy;
wenzelm
parents: 4212
diff changeset
   450
fun find_index_eq x = find_index (equal x);
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   451
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   452
(*find first element satisfying predicate*)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   453
fun find_first _ [] = None
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   454
  | find_first pred (x :: xs) =
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   455
      if pred x then Some x else find_first pred xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   456
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   457
(*flatten a list of lists to a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   458
fun flat (ls: 'c list list) : 'c list = foldr (op @) (ls, []);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   459
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   460
(*like Lisp's MAPC -- seq proc [x1, ..., xn] evaluates
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   461
  (proc x1; ...; proc xn) for side effects*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   462
fun seq (proc: 'a -> unit) : 'a list -> unit =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   463
  let fun seqf [] = ()
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   464
        | seqf (x :: xs) = (proc x; seqf xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   465
  in seqf end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   466
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   467
(*separate s [x1, x2, ..., xn]  ===>  [x1, s, x2, s, ..., s, xn]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   468
fun separate s (x :: (xs as _ :: _)) = x :: s :: separate s xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   469
  | separate _ xs = xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   470
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   471
(*make the list [x, x, ..., x] of length n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   472
fun replicate n (x: 'a) : 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   473
  let fun rep (0, xs) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   474
        | rep (n, xs) = rep (n - 1, x :: xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   475
  in
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   476
    if n < 0 then raise LIST "replicate"
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   477
    else rep (n, [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   478
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   479
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   480
(*multiply [a, b, c, ...] * [xs, ys, zs, ...]*)
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   481
fun multiply ([], _) = []
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   482
  | multiply (x :: xs, yss) = map (cons x) yss @ multiply (xs, yss);
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   483
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   484
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   485
(* filter *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   486
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   487
(*copy the list preserving elements that satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   488
fun filter (pred: 'a->bool) : 'a list -> 'a list =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   489
  let fun filt [] = []
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   490
        | filt (x :: xs) = if pred x then x :: filt xs else filt xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   491
  in filt end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   492
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   493
fun filter_out f = filter (not o f);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   494
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   495
fun mapfilter (f: 'a -> 'b option) ([]: 'a list) = [] : 'b list
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   496
  | mapfilter f (x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   497
      (case f x of
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   498
        None => mapfilter f xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   499
      | Some y => y :: mapfilter f xs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   500
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   501
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   502
(* lists of pairs *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   503
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   504
fun map2 _ ([], []) = []
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   505
  | map2 f (x :: xs, y :: ys) = (f (x, y) :: map2 f (xs, ys))
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   506
  | map2 _ _ = raise LIST "map2";
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   507
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   508
fun exists2 _ ([], []) = false
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   509
  | exists2 pred (x :: xs, y :: ys) = pred (x, y) orelse exists2 pred (xs, ys)
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   510
  | exists2 _ _ = raise LIST "exists2";
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   511
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   512
fun forall2 _ ([], []) = true
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   513
  | forall2 pred (x :: xs, y :: ys) = pred (x, y) andalso forall2 pred (xs, ys)
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   514
  | forall2 _ _ = raise LIST "forall2";
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   515
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   516
(*combine two lists forming a list of pairs:
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   517
  [x1, ..., xn] ~~ [y1, ..., yn]  ===>  [(x1, y1), ..., (xn, yn)]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   518
fun [] ~~ [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   519
  | (x :: xs) ~~ (y :: ys) = (x, y) :: (xs ~~ ys)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   520
  | _ ~~ _ = raise LIST "~~";
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   521
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   522
(*inverse of ~~; the old 'split':
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   523
  [(x1, y1), ..., (xn, yn)]  ===>  ([x1, ..., xn], [y1, ..., yn])*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   524
fun split_list (l: ('a * 'b) list) = (map #1 l, map #2 l);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   525
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   526
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   527
(* prefixes, suffixes *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   528
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   529
fun [] prefix _ = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   530
  | (x :: xs) prefix (y :: ys) = x = y andalso (xs prefix ys)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   531
  | _ prefix _ = false;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   532
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   533
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., x(i-1)], [xi, ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   534
   where xi is the first element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   535
fun take_prefix (pred : 'a -> bool)  (xs: 'a list) : 'a list * 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   536
  let fun take (rxs, []) = (rev rxs, [])
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   537
        | take (rxs, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   538
            if  pred x  then  take(x :: rxs, xs)  else  (rev rxs, x :: xs)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   539
  in  take([], xs)  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   540
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   541
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., xi], [x(i+1), ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   542
   where xi is the last element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   543
fun take_suffix _ [] = ([], [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   544
  | take_suffix pred (x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   545
      (case take_suffix pred xs of
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   546
        ([], sffx) => if pred x then ([], x :: sffx) else ([x], sffx)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   547
      | (prfx, sffx) => (x :: prfx, sffx));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   548
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   549
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   550
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   551
(** integers **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   552
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   553
fun inc i = (i := ! i + 1; ! i);
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   554
fun dec i = (i := ! i - 1; ! i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   555
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   556
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   557
(* lists of integers *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   558
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   559
(*make the list [from, from + 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   560
fun (from upto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   561
  if from > to then [] else from :: ((from + 1) upto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   562
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   563
(*make the list [from, from - 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   564
fun (from downto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   565
  if from < to then [] else from :: ((from - 1) downto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   566
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   567
(*predicate: downto0 (is, n) <=> is = [n, n - 1, ..., 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   568
fun downto0 (i :: is, n) = i = n andalso downto0 (is, n - 1)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   569
  | downto0 ([], n) = n = ~1;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   570
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   571
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   572
(* convert integers to strings *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   573
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   574
(*expand the number in the given base;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   575
  example: radixpand (2, 8) gives [1, 0, 0, 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   576
fun radixpand (base, num) : int list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   577
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   578
    fun radix (n, tail) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   579
      if n < base then n :: tail
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   580
      else radix (n div base, (n mod base) :: tail)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   581
  in radix (num, []) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   582
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   583
(*expands a number into a string of characters starting from "zerochar";
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   584
  example: radixstring (2, "0", 8) gives "1000"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   585
fun radixstring (base, zerochar, num) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   586
  let val offset = ord zerochar;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   587
      fun chrof n = chr (offset + n)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   588
  in implode (map chrof (radixpand (base, num))) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   589
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   590
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   591
val string_of_int = Int.toString;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   592
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   593
fun string_of_indexname (a,0) = a
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   594
  | string_of_indexname (a,i) = a ^ "_" ^ Int.toString i;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   595
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   596
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   597
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   598
(** strings **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   599
4692
748f4e365d14 added merge_alists;
wenzelm
parents: 4630
diff changeset
   600
(*beginning of text*)
748f4e365d14 added merge_alists;
wenzelm
parents: 4630
diff changeset
   601
fun beginning cs = implode (take (10, cs)) ^ " ...";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   602
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   603
(*enclose in brackets*)
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   604
fun enclose lpar rpar str = lpar ^ str ^ rpar;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   605
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   606
(*simple quoting (does not escape special chars)*)
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   607
val quote = enclose "\"" "\"";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   608
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   609
(*space_implode "..." (explode "hello") = "h...e...l...l...o"*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   610
fun space_implode a bs = implode (separate a bs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   611
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   612
val commas = space_implode ", ";
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   613
val commas_quote = commas o map quote;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   614
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   615
(*concatenate messages, one per line, into a string*)
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   616
val cat_lines = space_implode "\n";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   617
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   618
(*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
   619
fun space_explode _ "" = []
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   620
  | space_explode sep str =
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   621
      let
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   622
        fun expl chs =
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   623
          (case take_prefix (not_equal sep) chs of
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   624
            (cs, []) => [implode cs]
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   625
          | (cs, _ :: cs') => implode cs :: expl cs');
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   626
      in expl (explode str) end;
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   627
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   628
val split_lines = space_explode "\n";
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   629
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   630
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   631
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   632
(** lists as sets **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   633
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   634
(*membership in a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   635
fun x mem [] = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   636
  | x mem (y :: ys) = x = y orelse x mem ys;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   637
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   638
(*membership in a list, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   639
fun (x:int) mem_int [] = false
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   640
  | x mem_int (y :: ys) = x = y orelse x mem_int ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   641
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   642
(*membership in a list, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   643
fun (x:string) mem_string [] = false
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   644
  | x mem_string (y :: ys) = x = y orelse x mem_string ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   645
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   646
(*generalized membership test*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   647
fun gen_mem eq (x, []) = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   648
  | gen_mem eq (x, y :: ys) = eq (x, y) orelse gen_mem eq (x, ys);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   649
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   650
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   651
(*insertion into list if not already there*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   652
fun (x ins xs) = if x mem xs then xs else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   653
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   654
(*insertion into list, optimized version for ints*)
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   655
fun (x ins_int xs) = if x mem_int xs then xs else x :: xs;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   656
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   657
(*insertion into list, optimized version for strings*)
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   658
fun (x ins_string xs) = if x mem_string xs then xs else x :: xs;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   659
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   660
(*generalized insertion*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   661
fun gen_ins eq (x, xs) = if gen_mem eq (x, xs) then xs else x :: xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   662
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   663
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   664
(*union of sets represented as lists: no repetitions*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   665
fun xs union [] = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   666
  | [] union ys = ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   667
  | (x :: xs) union ys = xs union (x ins ys);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   668
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   669
(*union of sets, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   670
fun (xs:int list) union_int [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   671
  | [] union_int ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   672
  | (x :: xs) union_int ys = xs union_int (x ins_int ys);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   673
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   674
(*union of sets, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   675
fun (xs:string list) union_string [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   676
  | [] union_string ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   677
  | (x :: xs) union_string ys = xs union_string (x ins_string ys);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   678
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   679
(*generalized union*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   680
fun gen_union eq (xs, []) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   681
  | gen_union eq ([], ys) = ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   682
  | gen_union eq (x :: xs, ys) = gen_union eq (xs, gen_ins eq (x, ys));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   683
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   684
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   685
(*intersection*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   686
fun [] inter ys = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   687
  | (x :: xs) inter ys =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   688
      if x mem ys then x :: (xs inter ys) else xs inter ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   689
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   690
(*intersection, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   691
fun ([]:int list) inter_int ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   692
  | (x :: xs) inter_int ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   693
      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
   694
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   695
(*intersection, optimized version for strings *)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   696
fun ([]:string list) inter_string ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   697
  | (x :: xs) inter_string ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   698
      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
   699
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   700
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   701
(*subset*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   702
fun [] subset ys = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   703
  | (x :: xs) subset ys = x mem ys andalso xs subset ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   704
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   705
(*subset, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   706
fun ([]:int list) subset_int ys = true
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   707
  | (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
   708
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   709
(*subset, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   710
fun ([]:string list) subset_string ys = true
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   711
  | (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
   712
4363
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   713
(*set equality*)
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   714
fun eq_set (xs, ys) =
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   715
  xs = ys orelse (xs subset ys andalso ys subset xs);
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   716
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   717
(*set equality for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   718
fun eq_set_string ((xs:string list), ys) =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   719
  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
   720
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   721
fun gen_subset eq (xs, ys) = forall (fn x => gen_mem eq (x, ys)) xs;
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   722
265
443dc2c37583 added eq_set;
wenzelm
parents: 255
diff changeset
   723
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   724
(*removing an element from a list WITHOUT duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   725
fun (y :: ys) \ x = if x = y then ys else y :: (ys \ x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   726
  | [] \ x = [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   727
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   728
fun ys \\ xs = foldl (op \) (ys,xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   729
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   730
(*removing an element from a list -- possibly WITH duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   731
fun gen_rem eq (xs, y) = filter_out (fn x => eq (x, y)) xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   732
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   733
fun gen_rems eq = foldl (gen_rem eq);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   734
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   735
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   736
(*makes a list of the distinct members of the input; preserves order, takes
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   737
  first of equal elements*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   738
fun gen_distinct eq lst =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   739
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   740
    val memb = gen_mem eq;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   741
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   742
    fun dist (rev_seen, []) = rev rev_seen
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   743
      | dist (rev_seen, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   744
          if memb (x, rev_seen) then dist (rev_seen, xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   745
          else dist (x :: rev_seen, xs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   746
  in
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   747
    dist ([], lst)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   748
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   749
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   750
fun distinct l = gen_distinct (op =) l;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   751
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   752
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   753
(*returns the tail beginning with the first repeated element, or []*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   754
fun findrep [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   755
  | findrep (x :: xs) = if x mem xs then x :: xs else findrep xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   756
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   757
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   758
(*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
   759
  order, takes first of equal elements*)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   760
fun gen_duplicates eq lst =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   761
  let
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   762
    val memb = gen_mem eq;
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   763
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   764
    fun dups (rev_dups, []) = rev rev_dups
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   765
      | dups (rev_dups, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   766
          if memb (x, rev_dups) orelse not (memb (x, xs)) then
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   767
            dups (rev_dups, xs)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   768
          else dups (x :: rev_dups, xs);
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   769
  in
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   770
    dups ([], lst)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   771
  end;
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   772
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   773
fun duplicates l = gen_duplicates (op =) l;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   774
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   775
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   776
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   777
(** association lists **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   778
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   779
(*association list lookup*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   780
fun assoc ([], key) = None
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   781
  | assoc ((keyi, xi) :: pairs, key) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   782
      if key = keyi then Some xi else assoc (pairs, key);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   783
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   784
(*association list lookup, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   785
fun assoc_int ([], (key:int)) = None
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   786
  | assoc_int ((keyi, xi) :: pairs, key) =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   787
      if key = keyi then Some xi else assoc_int (pairs, key);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   788
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   789
(*association list lookup, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   790
fun assoc_string ([], (key:string)) = None
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   791
  | assoc_string ((keyi, xi) :: pairs, key) =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   792
      if key = keyi then Some xi else assoc_string (pairs, key);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   793
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   794
(*association list lookup, optimized version for string*ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   795
fun assoc_string_int ([], (key:string*int)) = None
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   796
  | assoc_string_int ((keyi, xi) :: pairs, key) =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   797
      if key = keyi then Some xi else assoc_string_int (pairs, key);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   798
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   799
fun assocs ps x =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   800
  (case assoc (ps, x) of
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   801
    None => []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   802
  | Some ys => ys);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   803
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   804
(*two-fold association list lookup*)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   805
fun assoc2 (aal, (key1, key2)) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   806
  (case assoc (aal, key1) of
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   807
    Some al => assoc (al, key2)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   808
  | None => None);
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   809
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   810
(*generalized association list lookup*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   811
fun gen_assoc eq ([], key) = None
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   812
  | gen_assoc eq ((keyi, xi) :: pairs, key) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   813
      if eq (key, keyi) then Some xi else gen_assoc eq (pairs, key);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   814
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   815
(*association list update*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   816
fun overwrite (al, p as (key, _)) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   817
  let fun over ((q as (keyi, _)) :: pairs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   818
            if keyi = key then p :: pairs else q :: (over pairs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   819
        | over [] = [p]
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   820
  in over al end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   821
2522
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
   822
fun gen_overwrite eq (al, p as (key, _)) =
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
   823
  let fun over ((q as (keyi, _)) :: pairs) =
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
   824
            if eq (keyi, key) then p :: pairs else q :: (over pairs)
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
   825
        | over [] = [p]
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
   826
  in over al end;
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
   827
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   828
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   829
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   830
(** generic tables **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   831
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   832
(*Tables are supposed to be 'efficient' encodings of lists of elements distinct
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   833
  wrt. an equality "eq". The extend and merge operations below are optimized
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   834
  for long-term space efficiency.*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   835
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   836
(*append (new) elements to a table*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   837
fun generic_extend _ _ _ tab [] = tab
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   838
  | generic_extend eq dest_tab mk_tab tab1 lst2 =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   839
      let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   840
        val lst1 = dest_tab tab1;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   841
        val new_lst2 = gen_rems eq (lst2, lst1);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   842
      in
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   843
        if null new_lst2 then tab1
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   844
        else mk_tab (lst1 @ new_lst2)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   845
      end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   846
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   847
(*append (new) elements of 2nd table to 1st table*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   848
fun generic_merge eq dest_tab mk_tab tab1 tab2 =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   849
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   850
    val lst1 = dest_tab tab1;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   851
    val lst2 = dest_tab tab2;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   852
    val new_lst2 = gen_rems eq (lst2, lst1);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   853
  in
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   854
    if null new_lst2 then tab1
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   855
    else if gen_subset eq (lst1, lst2) then tab2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   856
    else mk_tab (lst1 @ new_lst2)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   857
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   858
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   859
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   860
(*lists as tables*)
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   861
fun extend_list tab = generic_extend (op =) I I tab;
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   862
fun merge_lists tab = generic_merge (op =) I I tab;
4692
748f4e365d14 added merge_alists;
wenzelm
parents: 4630
diff changeset
   863
fun merge_alists tab = generic_merge eq_fst I I tab;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   864
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   865
fun merge_rev_lists xs [] = xs
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   866
  | merge_rev_lists [] ys = ys
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   867
  | merge_rev_lists xs (y :: ys) =
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   868
      (if y mem xs then I else cons y) (merge_rev_lists xs ys);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   869
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   870
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   871
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   872
(** balanced trees **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   873
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   874
exception Balance;      (*indicates non-positive argument to balancing fun*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   875
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   876
(*balanced folding; avoids deep nesting*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   877
fun fold_bal f [x] = x
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   878
  | fold_bal f [] = raise Balance
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   879
  | fold_bal f xs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   880
      let val k = length xs div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   881
      in  f (fold_bal f (take(k, xs)),
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   882
             fold_bal f (drop(k, xs)))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   883
      end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   884
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   885
(*construct something of the form f(...g(...(x)...)) for balanced access*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   886
fun access_bal (f, g, x) n i =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   887
  let fun acc n i =     (*1<=i<=n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   888
          if n=1 then x else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   889
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   890
          in  if i<=n2 then f (acc n2 i)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   891
                       else g (acc (n-n2) (i-n2))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   892
          end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   893
  in  if 1<=i andalso i<=n then acc n i else raise Balance  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   894
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   895
(*construct ALL such accesses; could try harder to share recursive calls!*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   896
fun accesses_bal (f, g, x) n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   897
  let fun acc n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   898
          if n=1 then [x] else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   899
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   900
              val acc2 = acc n2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   901
          in  if n-n2=n2 then map f acc2 @ map g acc2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   902
                         else map f acc2 @ map g (acc (n-n2)) end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   903
  in  if 1<=n then acc n else raise Balance  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   904
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   905
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   906
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   907
(** orders **)
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   908
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   909
datatype order = LESS | EQUAL | GREATER;
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   910
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   911
fun rev_order LESS = GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   912
  | rev_order EQUAL = EQUAL
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   913
  | rev_order GREATER = LESS;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   914
4479
708d7c26db5b improved comment;
wenzelm
parents: 4445
diff changeset
   915
(*assume rel is a linear strict order*)
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   916
fun make_ord rel (x, y) =
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   917
  if rel (x, y) then LESS
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   918
  else if rel (y, x) then GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   919
  else EQUAL;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
   920
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   921
fun int_ord (i, j: int) =
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   922
  if i < j then LESS
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   923
  else if i = j then EQUAL
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   924
  else GREATER;
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   925
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   926
fun string_ord (a, b: string) =
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   927
  if a < b then LESS
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   928
  else if a = b then EQUAL
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   929
  else GREATER;
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   930
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   931
(*lexicographic product*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   932
fun prod_ord a_ord b_ord ((x, y), (x', y')) =
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   933
  (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
   934
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   935
(*dictionary order -- in general NOT well-founded!*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   936
fun dict_ord _ ([], []) = EQUAL
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   937
  | dict_ord _ ([], _ :: _) = LESS
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   938
  | dict_ord _ (_ :: _, []) = GREATER
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   939
  | dict_ord elem_ord (x :: xs, y :: ys) =
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   940
      (case elem_ord (x, y) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord);
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   941
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   942
(*lexicographic product of lists*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   943
fun list_ord elem_ord (xs, ys) =
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   944
  prod_ord int_ord (dict_ord elem_ord) ((length xs, xs), (length ys, ys));
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
   945
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   946
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   947
(* sorting *)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   948
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   949
(*quicksort (stable, i.e. does not reorder equal elements)*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   950
fun sort ord =
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   951
  let
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   952
    fun qsort xs =
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   953
      let val len = length xs in
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   954
        if len <= 1 then xs
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   955
        else
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   956
          let val (lts, eqs, gts) = part (nth_elem (len div 2, xs)) xs in
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   957
            qsort lts @ eqs @ qsort gts
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   958
          end
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   959
      end
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   960
    and part _ [] = ([], [], [])
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   961
      | part pivot (x :: xs) = add (ord (x, pivot)) x (part pivot xs)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   962
    and add LESS x (lts, eqs, gts) = (x :: lts, eqs, gts)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   963
      | add EQUAL x (lts, eqs, gts) = (lts, x :: eqs, gts)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   964
      | add GREATER x (lts, eqs, gts) = (lts, eqs, x :: gts);
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   965
  in qsort end;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   966
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   967
(*sort strings*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   968
val sort_strings = sort string_ord;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   969
fun sort_wrt sel xs = sort (string_ord o pairself sel) xs;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   970
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   971
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
   972
3525
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   973
(** input / output and diagnostics **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   974
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   975
val cd = OS.FileSys.chDir;
2317
672015b535d7 added pwd;
wenzelm
parents: 2303
diff changeset
   976
val pwd = OS.FileSys.getDir;
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   977
3525
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   978
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   979
local
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   980
  fun out s =
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   981
    (TextIO.output (TextIO.stdOut, s); TextIO.flushOut TextIO.stdOut);
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   982
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   983
  fun prefix_lines prfx txt =
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   984
    txt |> split_lines |> map (fn s => prfx ^ s ^ "\n") |> implode;
3525
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   985
in
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   986
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   987
(*hooks for output channels: normal, warning, error*)
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   988
val prs_fn = ref (fn s => out s);
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   989
val warning_fn = ref (fn s => out (prefix_lines "### " s));
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   990
val error_fn = ref (fn s => out (prefix_lines "*** " s));
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   991
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   992
end;
1580
e3fd931e6095 Added some functions which allow redirection of Isabelle's output
berghofe
parents: 1576
diff changeset
   993
e3fd931e6095 Added some functions which allow redirection of Isabelle's output
berghofe
parents: 1576
diff changeset
   994
fun prs s = !prs_fn s;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   995
fun writeln s = prs (s ^ "\n");
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   996
3525
88edd3450460 improved output channels: normal, warning, error;
wenzelm
parents: 3407
diff changeset
   997
fun warning s = !warning_fn s;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   998
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   999
(*print error message and abort to top level*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1000
exception ERROR;
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1001
fun error_msg s = !error_fn s;	  (*promise to raise ERROR later!*)
3553
a148c7e7152e added error_msg;
wenzelm
parents: 3525
diff changeset
  1002
fun error s = (error_msg s; raise ERROR);
a148c7e7152e added error_msg;
wenzelm
parents: 3525
diff changeset
  1003
fun sys_error msg = (error_msg " !! SYSTEM ERROR !!\n"; error msg);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1004
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1005
fun assert p msg = if p then () else error msg;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1006
fun deny p msg = if p then error msg else ();
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1007
544
c53386a5bcf1 Pure/library/assert_all: new, moved from ZF/ind_syntax.ML
lcp
parents: 512
diff changeset
  1008
(*Assert pred for every member of l, generating a message if pred fails*)
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1009
fun assert_all pred l msg_fn =
544
c53386a5bcf1 Pure/library/assert_all: new, moved from ZF/ind_syntax.ML
lcp
parents: 512
diff changeset
  1010
  let fun asl [] = ()
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1011
        | asl (x::xs) = if pred x then asl xs else error (msg_fn x)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1012
  in asl l end;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1013
3624
36e19fce289e added read_file, write_file;
wenzelm
parents: 3606
diff changeset
  1014
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1015
(* handle errors capturing messages *)
3699
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1016
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1017
datatype 'a error =
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1018
  Error of string |
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1019
  OK of 'a;
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1020
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
  1021
fun get_error (Error msg) = Some msg
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
  1022
  | get_error _ = None;
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
  1023
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
  1024
fun get_ok (OK x) = Some x
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
  1025
  | get_ok _ = None;
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
  1026
3699
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1027
fun handle_error f x =
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1028
  let
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1029
    val buffer = ref "";
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1030
    fun capture s = buffer := ! buffer ^ s ^ "\n";
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1031
    val result = Some (setmp error_fn capture f x) handle ERROR => None;
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1032
  in
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1033
    (case result of
3699
7c30ab9e25d1 added handle_error: ('a -> 'b) -> 'a -> 'b error;
wenzelm
parents: 3645
diff changeset
  1034
      None => Error (! buffer)
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1035
    | Some y => OK y)
3624
36e19fce289e added read_file, write_file;
wenzelm
parents: 3606
diff changeset
  1036
  end;
36e19fce289e added read_file, write_file;
wenzelm
parents: 3606
diff changeset
  1037
36e19fce289e added read_file, write_file;
wenzelm
parents: 3606
diff changeset
  1038
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1039
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1040
(** timing **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1041
4326
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1042
(*a conditional timing function: applies f to () and, if the flag is true,
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1043
  prints its runtime*)
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1044
fun cond_timeit flag f =
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1045
  if flag then
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1046
    let val start = startTiming()
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1047
        val result = f ()
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1048
    in
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1049
	writeln (endTiming start);  result
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1050
    end
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1051
  else f ();
7211ea5f29e2 New timing functions startTiming and endTiming
paulson
parents: 4284
diff changeset
  1052
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1053
(*unconditional timing function*)
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1054
fun timeit x = cond_timeit true x;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1055
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1056
(*timed application function*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1057
fun timeap f x = timeit (fn () => f x);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1058
3606
5d7073700fbc Added function "file_exists".
berghofe
parents: 3553
diff changeset
  1059
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1060
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1061
(** misc **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1062
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1063
(*use the keyfun to make a list of (x, key) pairs*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1064
fun make_keylist (keyfun: 'a->'b) : 'a list -> ('a * 'b) list =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1065
  let fun keypair x = (x, keyfun x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1066
  in map keypair end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1067
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1068
(*given a list of (x, key) pairs and a searchkey
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1069
  return the list of xs from each pair whose key equals searchkey*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1070
fun keyfilter [] searchkey = []
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1071
  | keyfilter ((x, key) :: pairs) searchkey =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1072
      if key = searchkey then x :: keyfilter pairs searchkey
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1073
      else keyfilter pairs searchkey;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1074
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1075
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1076
(*Partition list into elements that satisfy predicate and those that don't.
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1077
  Preserves order of elements in both lists.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1078
fun partition (pred: 'a->bool) (ys: 'a list) : ('a list * 'a list) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1079
    let fun part ([], answer) = answer
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1080
          | part (x::xs, (ys, ns)) = if pred(x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1081
            then  part (xs, (x::ys, ns))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1082
            else  part (xs, (ys, x::ns))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1083
    in  part (rev ys, ([], []))  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1084
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1085
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1086
fun partition_eq (eq:'a * 'a -> bool) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1087
    let fun part [] = []
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1088
          | part (x::ys) = let val (xs, xs') = partition (apl(x, eq)) ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1089
                           in (x::xs)::(part xs') end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1090
    in part end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1091
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1092
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1093
(*Partition a list into buckets  [ bi, b(i+1), ..., bj ]
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1094
   putting x in bk if p(k)(x) holds.  Preserve order of elements if possible.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1095
fun partition_list p i j =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1096
  let fun part k xs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1097
            if k>j then
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1098
              (case xs of [] => []
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1099
                         | _ => raise LIST "partition_list")
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1100
            else
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1101
            let val (ns, rest) = partition (p k) xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1102
            in  ns :: part(k+1)rest  end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1103
  in  part i end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1104
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1105
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1106
(* transitive closure (not Warshall's algorithm) *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1107
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1108
fun transitive_closure [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1109
  | transitive_closure ((x, ys)::ps) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1110
      let val qs = transitive_closure ps
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
  1111
          val zs = foldl (fn (zs, y) => assocs qs y union_string zs) (ys, ys)
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
  1112
          fun step(u, us) = (u, if x mem_string us then zs union_string us 
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1113
                                else us)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1114
      in (x, zs) :: map step qs end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1115
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1116
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1117
(* generating identifiers *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1118
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1119
(** Freshly generated identifiers; supplied prefix MUST start with a letter **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1120
local
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1121
(*Maps 0-63 to A-Z, a-z, 0-9 or _ or ' for generating random identifiers*)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1122
fun char i =      if i<26 then chr (ord "A" + i)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1123
	     else if i<52 then chr (ord "a" + i - 26)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1124
	     else if i<62 then chr (ord"0" + i - 52)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1125
	     else if i=62 then "_"
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1126
	     else  (*i=63*)    "'";
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1127
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1128
val charVec = Vector.tabulate (64, char);
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1129
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1130
fun newid n = 
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1131
  let 
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1132
  in  implode (map (fn i => Vector.sub(charVec,i)) (radixpand (64,n)))  end;
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1133
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1134
val seedr = ref 0;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1135
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1136
in
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1137
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1138
fun init_gensym() = (seedr := 0);
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1139
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1140
fun gensym pre = pre ^ (#1(newid (!seedr), inc seedr));
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1141
end;
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1142
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1143
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1144
local
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1145
(*Identifies those character codes legal in identifiers.
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1146
  chould use Basis Library character functions if Poly/ML provided characters*)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1147
fun idCode k = (ord "a" <= k andalso k < ord "z") orelse 
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1148
               (ord "A" <= k andalso k < ord "Z") orelse
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1149
               (ord "0" <= k andalso k < ord "9");
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1150
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1151
val idCodeVec = Vector.tabulate (256, idCode);
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1152
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1153
in
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1154
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1155
(*Increment a list of letters like a reversed base 26 number.
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1156
  If head is "z", bumps chars in tail.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1157
  Digits are incremented as if they were integers.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1158
  "_" and "'" are not changed.
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1159
  For making variants of identifiers.*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1160
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1161
fun bump_int_list(c::cs) = 
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1162
	if c="9" then "0" :: bump_int_list cs 
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1163
	else
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1164
        if "0" <= c andalso c < "9" then chr(ord(c)+1) :: cs
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1165
        else "1" :: c :: cs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1166
  | bump_int_list([]) = error("bump_int_list: not an identifier");
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1167
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1168
fun bump_list([], d) = [d]
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1169
  | bump_list(["'"], d) = [d, "'"]
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1170
  | bump_list("z"::cs, _) = "a" :: bump_list(cs, "a")
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1171
  | bump_list("Z"::cs, _) = "A" :: bump_list(cs, "A")
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1172
  | bump_list("9"::cs, _) = "0" :: bump_int_list cs
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1173
  | bump_list(c::cs, _) = 
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1174
        let val k = ord(c)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1175
        in if Vector.sub(idCodeVec,k) then chr(k+1) :: cs 
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1176
	   else
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1177
           if c="'" orelse c="_" then c :: bump_list(cs, "") 
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1178
	   else error("bump_list: not legal in identifier: " ^
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1179
		      implode(rev(c::cs)))
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1180
        end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1181
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1182
end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1183
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1184
fun bump_string s : string = implode (rev (bump_list(rev(explode s), "")));
41
97aae241094b added cons, rcons, last_elem, sort_strings, take_suffix;
wenzelm
parents: 24
diff changeset
  1185
97aae241094b added cons, rcons, last_elem, sort_strings, take_suffix;
wenzelm
parents: 24
diff changeset
  1186
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1187
(* lexical scanning *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1188
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1189
(*scan a list of characters into "words" composed of "letters" (recognized by
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1190
  is_let) and separated by any number of non-"letters"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1191
fun scanwords is_let cs =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1192
  let fun scan1 [] = []
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1193
        | scan1 cs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1194
            let val (lets, rest) = take_prefix is_let cs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1195
            in implode lets :: scanwords is_let rest end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1196
  in scan1 (#2 (take_prefix (not o is_let) cs)) end;
24
f3d4ff75d9f2 added functions that operate on filenames: split_filename (originally located
clasohm
parents: 0
diff changeset
  1197
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1198
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1199
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1200
(* Variable-branching trees: for proof terms etc. *)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1201
datatype 'a mtree = Join of 'a * 'a mtree list;
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1202
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1203
4255
63ab0616900b added type object = exn;
wenzelm
parents: 4248
diff changeset
  1204
(* generic objects -- fool the ML type system via exception constructors *)
63ab0616900b added type object = exn;
wenzelm
parents: 4248
diff changeset
  1205
type object = exn;
63ab0616900b added type object = exn;
wenzelm
parents: 4248
diff changeset
  1206
63ab0616900b added type object = exn;
wenzelm
parents: 4248
diff changeset
  1207
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1208
end;
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1209
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1210
open Library;