src/Pure/library.ML
author haftmann
Wed, 12 Jul 2006 17:00:32 +0200
changeset 20108 289050bdfff5
parent 20095 432e914a0e95
child 20133 9ee091573fa0
permissions -rw-r--r--
added chop_prefix
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
41
97aae241094b added cons, rcons, last_elem, sort_strings, take_suffix;
wenzelm
parents: 24
diff changeset
     1
(*  Title:      Pure/library.ML
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     2
    ID:         $Id$
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
     3
    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
     4
    Author:     Markus Wenzel, TU Muenchen
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     5
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
     6
Basic library: functions, options, pairs, booleans, lists, integers,
19596
7b07dac44e09 removed superfluous eq_ord
haftmann
parents: 19588
diff changeset
     7
strings, lists as sets, balanced trees, orders, current directory, misc.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     8
*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     9
17257
0ab67cb765da introduced binding priority 1 for linear combinators etc.
haftmann
parents: 17153
diff changeset
    10
infix 1 |> |-> ||> ||>> |>> |>>> #> #->;
0ab67cb765da introduced binding priority 1 for linear combinators etc.
haftmann
parents: 17153
diff changeset
    11
infix 2 ?;
0ab67cb765da introduced binding priority 1 for linear combinators etc.
haftmann
parents: 17153
diff changeset
    12
infix 3 o oo ooo oooo;
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
    13
17257
0ab67cb765da introduced binding priority 1 for linear combinators etc.
haftmann
parents: 17153
diff changeset
    14
infix 4 ~~ upto downto;
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
    15
infix orf andf \ \\ ins ins_string ins_int mem mem_int mem_string union union_int
17257
0ab67cb765da introduced binding priority 1 for linear combinators etc.
haftmann
parents: 17153
diff changeset
    16
  union_string inter inter_int inter_string subset subset_int subset_string;
5893
c755dfd02509 added oo, ooo (*concatenation: 2 and 3 args*);
wenzelm
parents: 5285
diff changeset
    17
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
    18
signature BASIC_LIBRARY =
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    19
sig
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    20
  (*functions*)
16842
wenzelm
parents: 16825
diff changeset
    21
  val I: 'a -> 'a
wenzelm
parents: 16825
diff changeset
    22
  val K: 'a -> 'b -> 'a
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    23
  val curry: ('a * 'b -> 'c) -> 'a -> 'b -> 'c
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    24
  val uncurry: ('a -> 'b -> 'c) -> 'a * 'b -> 'c
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    25
  val |> : 'a * ('a -> 'b) -> 'b
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
    26
  val |-> : ('c * 'a) * ('c -> 'a -> 'b) -> 'b
16780
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    27
  val ||> : ('c * 'a) * ('a -> 'b) -> 'c * 'b
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    28
  val ||>> : ('c * 'a) * ('a -> 'd * 'b) -> ('c * 'd) * 'b
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
    29
  val |>> : ('a * 'c) * ('a -> 'b) -> 'b * 'c
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
    30
  val |>>> : ('a * 'c) * ('a -> 'b * 'd) -> 'b * ('c * 'd)
16780
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    31
  val #> : ('a -> 'b) * ('b -> 'c) -> 'a -> 'c
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    32
  val #-> : ('a -> 'c * 'b) * ('c -> 'b -> 'd) -> 'a -> 'd
17141
4b0dc89de43b added ? combinator for conditional transformations
haftmann
parents: 17101
diff changeset
    33
  val ? : ('a -> bool) * ('a -> 'a) -> 'a -> 'a
16825
0a28f033de03 added ` combinator
haftmann
parents: 16780
diff changeset
    34
  val ` : ('b -> 'a) -> 'b -> 'a * 'b
17101
9c0aaa50283d added tap;
wenzelm
parents: 17061
diff changeset
    35
  val tap: ('b -> 'a) -> 'b -> 'b
16721
wenzelm
parents: 16705
diff changeset
    36
  val oo: ('a -> 'b) * ('c -> 'd -> 'a) -> 'c -> 'd -> 'b
wenzelm
parents: 16705
diff changeset
    37
  val ooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'a) -> 'c -> 'd -> 'e -> 'b
wenzelm
parents: 16705
diff changeset
    38
  val oooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'f -> 'a) -> 'c -> 'd -> 'e -> 'f -> 'b
16842
wenzelm
parents: 16825
diff changeset
    39
  val funpow: int -> ('a -> 'a) -> 'a -> 'a
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
    40
15970
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    41
  (*options*)
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    42
  val the: 'a option -> 'a
17153
d871853e13e0 added 'these', removed assoc2
haftmann
parents: 17141
diff changeset
    43
  val these: 'a list option -> 'a list
17313
7d97f60293ae added the_list, the_default
haftmann
parents: 17257
diff changeset
    44
  val the_default: 'a -> 'a option -> 'a
7d97f60293ae added the_list, the_default
haftmann
parents: 17257
diff changeset
    45
  val the_list: 'a option -> 'a list
15970
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    46
  val is_some: 'a option -> bool
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    47
  val is_none: 'a option -> bool
18333
b356f7837921 added perhaps option combinator
haftmann
parents: 18330
diff changeset
    48
  val perhaps: ('a -> 'a option) -> 'a -> 'a
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
    49
  val merge_opt: ('a * 'a -> bool) -> 'a option * 'a option -> 'a option
15970
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    50
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    51
  (*exceptions*)
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
    52
  val try: ('a -> 'b) -> 'a -> 'b option
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    53
  val can: ('a -> 'b) -> 'a -> bool
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    54
  exception EXCEPTION of exn * string
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    55
  val do_transform_failure: bool ref
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    56
  val transform_failure: (exn -> exn) -> ('a -> 'b) -> 'a -> 'b
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    57
  datatype 'a result = Result of 'a | Exn of exn
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    58
  val capture: ('a -> 'b) -> 'a -> 'b result
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    59
  val release: 'a result -> 'a
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    60
  val get_result: 'a result -> 'a option
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    61
  val get_exn: 'a result -> exn option
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    62
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    63
  (*errors*)
19542
b5abe6cd4cbf sys_error: exception SYS_ERROR;
wenzelm
parents: 19512
diff changeset
    64
  exception SYS_ERROR of string
b5abe6cd4cbf sys_error: exception SYS_ERROR;
wenzelm
parents: 19512
diff changeset
    65
  val sys_error: string -> 'a
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    66
  exception ERROR of string
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    67
  val error: string -> 'a
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    68
  val cat_error: string -> string -> 'a
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    69
  val assert: bool -> string -> unit
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    70
  val deny: bool -> string -> unit
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    71
  val assert_all: ('a -> bool) -> 'a list -> ('a -> string) -> unit
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
    72
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    73
  (*pairs*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    74
  val pair: 'a -> 'b -> 'a * 'b
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    75
  val rpair: 'a -> 'b -> 'b * 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    76
  val fst: 'a * 'b -> 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    77
  val snd: 'a * 'b -> 'b
17498
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
    78
  val eq_fst: ('a * 'c -> bool) -> ('a * 'b) * ('c * 'd) -> bool
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
    79
  val eq_snd: ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
    80
  val eq_pair: ('a * 'c -> bool) -> ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    81
  val swap: 'a * 'b -> 'b * 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    82
  val apfst: ('a -> 'b) -> 'a * 'c -> 'b * 'c
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    83
  val apsnd: ('a -> 'b) -> 'c * 'a -> 'c * 'b
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    84
  val pairself: ('a -> 'b) -> 'a * 'a -> 'b * 'b
19567
48d3b4266b52 string_of_... functions added
webertj
parents: 19542
diff changeset
    85
  val string_of_pair: ('a -> string) -> ('b -> string) -> 'a * 'b -> string
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    86
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    87
  (*booleans*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    88
  val equal: ''a -> ''a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    89
  val not_equal: ''a -> ''a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    90
  val orf: ('a -> bool) * ('a -> bool) -> 'a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    91
  val andf: ('a -> bool) * ('a -> bool) -> 'a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    92
  val exists: ('a -> bool) -> 'a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    93
  val forall: ('a -> bool) -> 'a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    94
  val set: bool ref -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    95
  val reset: bool ref -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    96
  val toggle: bool ref -> bool
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
    97
  val change: 'a ref -> ('a -> 'a) -> unit
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    98
  val setmp: 'a ref -> 'a -> ('b -> 'c) -> 'b -> 'c
11853
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
    99
  val conditional: bool -> (unit -> unit) -> unit
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   100
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   101
  (*lists*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   102
  exception UnequalLengths
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   103
  val cons: 'a -> 'a list -> 'a list
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   104
  val single: 'a -> 'a list
19273
05b6d220e509 added singleton;
wenzelm
parents: 19233
diff changeset
   105
  val singleton: ('a list -> 'b list) -> 'a -> 'b
4629
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   106
  val append: 'a list -> 'a list -> 'a list
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   107
  val apply: ('a -> 'a) list -> 'a -> 'a
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   108
  val fold: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b
15035
8c57751cd43f added fold_rev: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b;
wenzelm
parents: 14981
diff changeset
   109
  val fold_rev: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b
16869
bc98da5727be reverted from fold_yield to fold_map
haftmann
parents: 16842
diff changeset
   110
  val fold_map: ('a -> 'b -> 'c * 'b) -> 'a list -> 'b -> 'c list * 'b
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   111
  val foldr1: ('a * 'a -> 'a) -> 'a list -> 'a
18278
cbf6f44d73d3 added (curried) fold2
haftmann
parents: 18148
diff changeset
   112
  val foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list
19461
d3bc9c1ff241 made 'flat' pervasive (again);
wenzelm
parents: 19454
diff changeset
   113
  val flat: 'a list list -> 'a list
19474
70223ad97843 removed splitAt (superceded by chop);
wenzelm
parents: 19461
diff changeset
   114
  val maps: ('a -> 'b list) -> 'a list -> 'b list
19424
b701ea590259 export unflat (again);
wenzelm
parents: 19383
diff changeset
   115
  val unflat: 'a list list -> 'b list -> 'b list list
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   116
  val burrow: ('a list -> 'b list) -> 'a list list -> 'b list list
18549
5308a6ea3b96 rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents: 18514
diff changeset
   117
  val fold_burrow: ('a list -> 'c -> 'b list * 'd) -> 'a list list -> 'c -> 'b list list * 'd
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   118
  val chop: int -> 'a list -> 'a list * 'a list
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   119
  val dropwhile: ('a -> bool) -> 'a list -> 'a list
18278
cbf6f44d73d3 added (curried) fold2
haftmann
parents: 18148
diff changeset
   120
  val nth: 'a list -> int -> 'a
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   121
  val nth_update: int * 'a -> 'a list -> 'a list
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   122
  val nth_map: int -> ('a -> 'a) -> 'a list -> 'a list
18286
7273cf5085ed added nth_list;
wenzelm
parents: 18278
diff changeset
   123
  val nth_list: 'a list list -> int -> 'a list
18514
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   124
  val map_index: (int * 'a -> 'b) -> 'a list -> 'b list
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   125
  val fold_index: (int * 'a -> 'b -> 'b) -> 'a list -> 'b -> 'b
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   126
  val split_last: 'a list -> 'a list * 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   127
  val find_index: ('a -> bool) -> 'a list -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   128
  val find_index_eq: ''a -> ''a list -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   129
  val find_first: ('a -> bool) -> 'a list -> 'a option
19233
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   130
  val get_index: ('a -> 'b option) -> 'a list -> (int * 'b) option
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   131
  val get_first: ('a -> 'b option) -> 'a list -> 'b option
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   132
  val eq_list: ('a * 'b -> bool) -> 'a list * 'b list -> bool
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   133
  val map2: ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   134
  val fold2: ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c
19799
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   135
  val zip_options: 'a list -> 'b option list -> ('a * 'b) list
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   136
  val ~~ : 'a list * 'b list -> ('a * 'b) list
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   137
  val split_list: ('a * 'b) list -> 'a list * 'b list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   138
  val separate: 'a -> 'a list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   139
  val replicate: int -> 'a -> 'a list
18148
7921f41165cf curried multiply;
wenzelm
parents: 18050
diff changeset
   140
  val multiply: 'a list -> 'a list list -> 'a list list
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   141
  val product: 'a list -> 'b list -> ('a * 'b) list
16129
6fa9ace50240 export filter;
wenzelm
parents: 15970
diff changeset
   142
  val filter: ('a -> bool) -> 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   143
  val filter_out: ('a -> bool) -> 'a list -> 'a list
19483
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   144
  val map_filter: ('a -> 'b option) -> 'a list -> 'b list
7468
6ce03d2f7d91 equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool;
wenzelm
parents: 7090
diff changeset
   145
  val equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   146
  val is_prefix: ('a * 'a -> bool) -> 'a list -> 'a list -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   147
  val take_prefix: ('a -> bool) -> 'a list -> 'a list * 'a list
20108
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   148
  val chop_prefix: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list * ('a list * 'b list)
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   149
  val take_suffix: ('a -> bool) -> 'a list -> 'a list * 'a list
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   150
  val prefixes1: 'a list -> 'a list list
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   151
  val prefixes: 'a list -> 'a list list
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   152
  val suffixes1: 'a list -> 'a list list
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   153
  val suffixes: 'a list -> 'a list list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   154
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   155
  (*integers*)
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   156
  val gcd: IntInf.int * IntInf.int -> IntInf.int
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   157
  val lcm: IntInf.int * IntInf.int -> IntInf.int
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   158
  val inc: int ref -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   159
  val dec: int ref -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   160
  val upto: int * int -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   161
  val downto: int * int -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   162
  val downto0: int list * int -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   163
  val radixpand: int * int -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   164
  val radixstring: int * string * int -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   165
  val string_of_int: int -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   166
  val string_of_indexname: string * int -> string
20095
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   167
  val read_intinf: int -> string list -> IntInf.int * string list
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   168
  val read_int: string list -> int * string list
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   169
  val oct_char: string -> string
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   170
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   171
  (*strings*)
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   172
  val nth_string: string -> int -> string
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   173
  val fold_string: (string -> 'a -> 'a) -> string -> 'a -> 'a
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   174
  val exists_string: (string -> bool) -> string -> bool
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   175
  val forall_string: (string -> bool) -> string -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   176
  val enclose: string -> string -> string -> string
6642
732af87c0650 strip_quotes replaced by unenclose;
wenzelm
parents: 6510
diff changeset
   177
  val unenclose: string -> string
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   178
  val quote: string -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   179
  val space_implode: string -> string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   180
  val commas: string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   181
  val commas_quote: string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   182
  val cat_lines: string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   183
  val space_explode: string -> string -> string list
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   184
  val split_lines: string -> string list
5942
9a7bf515fde1 std_output, prefix_lines;
wenzelm
parents: 5904
diff changeset
   185
  val prefix_lines: string -> string -> string
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   186
  val untabify: string list -> string list
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   187
  val prefix: string -> string -> string
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   188
  val suffix: string -> string -> string
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   189
  val unprefix: string -> string -> string
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   190
  val unsuffix: string -> string -> string
10951
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   191
  val replicate_string: int -> string -> string
14926
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   192
  val translate_string: (string -> string) -> string -> string
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   193
  val string_of_list: ('a -> string) -> 'a list -> string
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   194
  val string_of_option: ('a -> string) -> 'a option -> string
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   195
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   196
  (*lists as sets -- see also Pure/General/ord_list.ML*)
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   197
  val member: ('b * 'a -> bool) -> 'a list -> 'b -> bool
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   198
  val insert: ('a * 'a -> bool) -> 'a -> 'a list -> 'a list
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   199
  val remove: ('b * 'a -> bool) -> 'b -> 'a list -> 'a list
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   200
  val subtract: ('b * 'a -> bool) -> 'b list -> 'a list -> 'a list
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   201
  val merge: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   202
  val mem: ''a * ''a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   203
  val mem_int: int * int list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   204
  val mem_string: string * string list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   205
  val ins: ''a * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   206
  val ins_int: int * int list -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   207
  val ins_string: string * string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   208
  val union: ''a list * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   209
  val union_int: int list * int list -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   210
  val union_string: string list * string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   211
  val gen_union: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   212
  val gen_inter: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   213
  val inter: ''a list * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   214
  val inter_int: int list * int list -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   215
  val inter_string: string list * string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   216
  val subset: ''a list * ''a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   217
  val subset_int: int list * int list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   218
  val subset_string: string list * string list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   219
  val eq_set: ''a list * ''a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   220
  val eq_set_string: string list * string list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   221
  val gen_subset: ('a * 'b -> bool) -> 'a list * 'b list -> bool
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   222
  val gen_eq_set: ('a * 'b -> bool) -> 'a list * 'b list -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   223
  val \ : ''a list * ''a -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   224
  val \\ : ''a list * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   225
  val gen_rem: ('a * 'b -> bool) -> 'a list * 'b -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   226
  val gen_rems: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   227
  val findrep: ''a list -> ''a list
19046
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
   228
  val distinct: ('a * 'a -> bool) -> 'a list -> 'a list
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
   229
  val duplicates: ('a * 'a -> bool) -> 'a list -> 'a list
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   230
  val has_duplicates: ('a * 'a -> bool) -> 'a list -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   231
17540
f662416aa5f2 removed assoc, overwrite
haftmann
parents: 17498
diff changeset
   232
  (*lists as tables -- see also Pure/General/alist.ML*)
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   233
  val gen_merge_lists: ('a * 'a -> bool) -> 'a list -> 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   234
  val merge_lists: ''a list -> ''a list -> ''a list
4692
748f4e365d14 added merge_alists;
wenzelm
parents: 4630
diff changeset
   235
  val merge_alists: (''a * 'b) list -> (''a * 'b) list -> (''a * 'b) list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   236
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   237
  (*balanced trees*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   238
  exception Balance
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   239
  val fold_bal: ('a * 'a -> 'a) -> 'a list -> 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   240
  val access_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> int -> 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   241
  val accesses_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   242
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   243
  (*orders*)
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
   244
  val is_equal: order -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   245
  val rev_order: order -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   246
  val make_ord: ('a * 'a -> bool) -> 'a * 'a -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   247
  val int_ord: int * int -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   248
  val string_ord: string * string -> order
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
   249
  val fast_string_ord: string * string -> order
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   250
  val option_ord: ('a * 'b -> order) -> 'a option * 'b option -> order
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   251
  val prod_ord: ('a * 'b -> order) -> ('c * 'd -> order) -> ('a * 'c) * ('b * 'd) -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   252
  val dict_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   253
  val list_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   254
  val sort: ('a * 'a -> order) -> 'a list -> 'a list
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
   255
  val sort_distinct: ('a * 'a -> order) -> 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   256
  val sort_strings: string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   257
  val sort_wrt: ('a -> string) -> 'a list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   258
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   259
  (*random numbers*)
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   260
  exception RANDOM
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   261
  val random: unit -> real
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   262
  val random_range: int -> int -> int
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   263
  val one_of: 'a list -> 'a
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   264
  val frequency: (int * 'a) list -> 'a
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   265
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   266
  (*current directory*)
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   267
  val cd: string -> unit
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   268
  val pwd: unit -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   269
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   270
  (*misc*)
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   271
  val divide_and_conquer: ('a -> 'a list * ('b list -> 'b)) -> 'a -> 'b
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   272
  val partition_eq: ('a * 'a -> bool) -> 'a list -> 'a list list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   273
  val partition_list: (int -> 'a -> bool) -> int -> int -> 'a list -> 'a list list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   274
  val gensym: string -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   275
  val scanwords: (string -> bool) -> string list -> string list
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   276
  type stamp
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   277
  val stamp: unit -> stamp
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   278
  type serial
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   279
  val serial: unit -> serial
19512
94cd541dc8fa added serial_string;
wenzelm
parents: 19483
diff changeset
   280
  val serial_string: unit -> string
16535
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
   281
  structure Object: sig type T end
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   282
end;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   283
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
   284
signature LIBRARY =
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   285
sig
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
   286
  include BASIC_LIBRARY
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   287
  val foldl: ('a * 'b -> 'a) -> 'a * 'b list -> 'a
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   288
  val foldr: ('a * 'b -> 'b) -> 'a list * 'b -> 'b
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   289
  val take: int * 'a list -> 'a list
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   290
  val drop: int * 'a list -> 'a list
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   291
  val last_elem: 'a list -> 'a
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   292
  val seq: ('a -> unit) -> 'a list -> unit
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   293
end;
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   294
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
   295
structure Library: LIBRARY =
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
   296
struct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   297
4995
905cd6f73429 removed type object (see object.ML);
wenzelm
parents: 4956
diff changeset
   298
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   299
(** functions **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   300
16842
wenzelm
parents: 16825
diff changeset
   301
fun I x = x;
wenzelm
parents: 16825
diff changeset
   302
fun K x = fn _ => x;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   303
fun curry f x y = f (x, y);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   304
fun uncurry f (x, y) = f x y;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   305
16705
wenzelm
parents: 16694
diff changeset
   306
(*reverse application and structured results*)
wenzelm
parents: 16694
diff changeset
   307
fun x |> f = f x;
wenzelm
parents: 16694
diff changeset
   308
fun (x, y) |-> f = f x y;
wenzelm
parents: 16694
diff changeset
   309
fun (x, y) |>> f = (f x, y);
wenzelm
parents: 16694
diff changeset
   310
fun (x, y) ||> f = (x, f y);
wenzelm
parents: 16694
diff changeset
   311
fun (x, y) |>>> f = let val (x', z) = f x in (x', (y, z)) end;
wenzelm
parents: 16694
diff changeset
   312
fun (x, y) ||>> f = let val (z, y') = f y in ((x, z), y') end;
16842
wenzelm
parents: 16825
diff changeset
   313
wenzelm
parents: 16825
diff changeset
   314
(*reverse composition*)
16780
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
   315
fun f #> g = g o f;
16842
wenzelm
parents: 16825
diff changeset
   316
fun f #-> g = uncurry g o f;
wenzelm
parents: 16825
diff changeset
   317
17141
4b0dc89de43b added ? combinator for conditional transformations
haftmann
parents: 17101
diff changeset
   318
(*conditional application*)
17545
wenzelm
parents: 17540
diff changeset
   319
fun b ? f = fn x => if b x then f x else x;
17141
4b0dc89de43b added ? combinator for conditional transformations
haftmann
parents: 17101
diff changeset
   320
16842
wenzelm
parents: 16825
diff changeset
   321
(*view results*)
wenzelm
parents: 16825
diff changeset
   322
fun `f = fn x => (f x, x);
17545
wenzelm
parents: 17540
diff changeset
   323
fun tap f = fn x => (f x; x);
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   324
16721
wenzelm
parents: 16705
diff changeset
   325
(*composition with multiple args*)
wenzelm
parents: 16705
diff changeset
   326
fun (f oo g) x y = f (g x y);
wenzelm
parents: 16705
diff changeset
   327
fun (f ooo g) x y z = f (g x y z);
wenzelm
parents: 16705
diff changeset
   328
fun (f oooo g) x y z w = f (g x y z w);
wenzelm
parents: 16705
diff changeset
   329
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   330
(*function exponentiation: f(...(f x)...) with n applications of f*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   331
fun funpow n f x =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   332
  let fun rep (0, x) = x
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   333
        | rep (n, x) = rep (n - 1, f x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   334
  in rep (n, x) end;
160
80ccb6c354ba added equal, not_equal: ''a -> ''a -> bool
wenzelm
parents: 41
diff changeset
   335
80ccb6c354ba added equal, not_equal: ''a -> ''a -> bool
wenzelm
parents: 41
diff changeset
   336
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   337
(** options **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   338
15970
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   339
val the = Option.valOf;
17341
ca0e5105c4b1 added exception EXCEPTION of exn * string;
wenzelm
parents: 17313
diff changeset
   340
17153
d871853e13e0 added 'these', removed assoc2
haftmann
parents: 17141
diff changeset
   341
fun these (SOME x) = x
17313
7d97f60293ae added the_list, the_default
haftmann
parents: 17257
diff changeset
   342
  | these _ = [];
17341
ca0e5105c4b1 added exception EXCEPTION of exn * string;
wenzelm
parents: 17313
diff changeset
   343
17313
7d97f60293ae added the_list, the_default
haftmann
parents: 17257
diff changeset
   344
fun the_default x (SOME y) = y
7d97f60293ae added the_list, the_default
haftmann
parents: 17257
diff changeset
   345
  | the_default x _ = x;
17341
ca0e5105c4b1 added exception EXCEPTION of exn * string;
wenzelm
parents: 17313
diff changeset
   346
17313
7d97f60293ae added the_list, the_default
haftmann
parents: 17257
diff changeset
   347
fun the_list (SOME x) = [x]
7d97f60293ae added the_list, the_default
haftmann
parents: 17257
diff changeset
   348
  | the_list _ = []
15970
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   349
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   350
fun is_some (SOME _) = true
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   351
  | is_some NONE = false;
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   352
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   353
fun is_none (SOME _) = false
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   354
  | is_none NONE = true;
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   355
18376
wenzelm
parents: 18359
diff changeset
   356
fun perhaps f x = the_default x (f x);
wenzelm
parents: 18359
diff changeset
   357
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   358
fun merge_opt _ (NONE, y) = y
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   359
  | merge_opt _ (x, NONE) = x
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   360
  | merge_opt eq (SOME x, SOME y) = if eq (x, y) then SOME y else raise Option;
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   361
19474
70223ad97843 removed splitAt (superceded by chop);
wenzelm
parents: 19461
diff changeset
   362
17341
ca0e5105c4b1 added exception EXCEPTION of exn * string;
wenzelm
parents: 17313
diff changeset
   363
(* exceptions *)
ca0e5105c4b1 added exception EXCEPTION of exn * string;
wenzelm
parents: 17313
diff changeset
   364
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   365
val do_transform_failure = ref true;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   366
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   367
fun transform_failure exn f x =
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   368
  if ! do_transform_failure then
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   369
    f x handle Interrupt => raise Interrupt | e => raise exn e
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   370
  else f x;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   371
17341
ca0e5105c4b1 added exception EXCEPTION of exn * string;
wenzelm
parents: 17313
diff changeset
   372
exception EXCEPTION of exn * string;
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   373
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   374
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   375
fun try f x = SOME (f x)
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   376
  handle Interrupt => raise Interrupt | _ => NONE;
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   377
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   378
fun can f x = is_some (try f x);
4139
e1659fd7a221 fixed exception OPTION;
wenzelm
parents: 4102
diff changeset
   379
e1659fd7a221 fixed exception OPTION;
wenzelm
parents: 4102
diff changeset
   380
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   381
datatype 'a result =
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   382
  Result of 'a |
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   383
  Exn of exn;
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   384
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   385
fun capture f x = Result (f x) handle e => Exn e;
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   386
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   387
fun release (Result y) = y
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   388
  | release (Exn e) = raise e;
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   389
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   390
fun get_result (Result x) = SOME x
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   391
  | get_result _ = NONE;
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   392
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   393
fun get_exn (Exn exn) = SOME exn
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   394
  | get_exn _ = NONE;
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   395
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   396
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   397
(* errors *)
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   398
19542
b5abe6cd4cbf sys_error: exception SYS_ERROR;
wenzelm
parents: 19512
diff changeset
   399
exception SYS_ERROR of string;
b5abe6cd4cbf sys_error: exception SYS_ERROR;
wenzelm
parents: 19512
diff changeset
   400
fun sys_error msg = raise SYS_ERROR msg;
b5abe6cd4cbf sys_error: exception SYS_ERROR;
wenzelm
parents: 19512
diff changeset
   401
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   402
exception ERROR of string;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   403
fun error msg = raise ERROR msg;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   404
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   405
fun cat_error "" msg = error msg
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   406
  | cat_error msg1 msg2 = error (msg1 ^ "\n" ^ msg2);
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   407
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   408
fun assert p msg = if p then () else error msg;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   409
fun deny p msg = if p then error msg else ();
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   410
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   411
fun assert_all pred list msg =
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   412
  let
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   413
    fun ass [] = ()
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   414
      | ass (x :: xs) = if pred x then ass xs else error (msg x);
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   415
  in ass list end;
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   416
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   417
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   418
(** pairs **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   419
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   420
fun pair x y = (x, y);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   421
fun rpair x y = (y, x);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   422
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   423
fun fst (x, y) = x;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   424
fun snd (x, y) = y;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   425
17498
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
   426
fun eq_fst eq ((x1, _), (x2, _)) = eq (x1, x2);
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
   427
fun eq_snd eq ((_, y1), (_, y2)) = eq (y1, y2);
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   428
fun eq_pair eqx eqy ((x1, y1), (x2, y2)) = eqx (x1, x2) andalso eqy (y1, y2);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   429
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   430
fun swap (x, y) = (y, x);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   431
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   432
(*apply function to components*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   433
fun apfst f (x, y) = (f x, y);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   434
fun apsnd f (x, y) = (x, f y);
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   435
fun pairself f (x, y) = (f x, f y);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   436
19567
48d3b4266b52 string_of_... functions added
webertj
parents: 19542
diff changeset
   437
fun string_of_pair f1 f2 (x, y) = "(" ^ f1 x ^ ", " ^ f2 y ^ ")";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   438
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   439
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   440
(** booleans **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   441
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   442
(* equality *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   443
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   444
fun equal x y = x = y;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   445
fun not_equal x y = x <> y;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   446
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   447
(* operators for combining predicates *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   448
16721
wenzelm
parents: 16705
diff changeset
   449
fun p orf q = fn x => p x orelse q x;
wenzelm
parents: 16705
diff changeset
   450
fun p andf q = fn x => p x andalso q x;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   451
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   452
(* predicates on lists *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   453
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   454
(*exists pred [x1, ..., xn] ===> pred x1 orelse ... orelse pred xn*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   455
fun exists (pred: 'a -> bool) : 'a list -> bool =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   456
  let fun boolf [] = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   457
        | boolf (x :: xs) = pred x orelse boolf xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   458
  in boolf end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   459
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   460
(*forall pred [x1, ..., xn] ===> pred x1 andalso ... andalso pred xn*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   461
fun forall (pred: 'a -> bool) : 'a list -> bool =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   462
  let fun boolf [] = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   463
        | boolf (x :: xs) = pred x andalso boolf xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   464
  in boolf end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   465
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   466
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   467
(* flags *)
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   468
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   469
fun set flag = (flag := true; true);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   470
fun reset flag = (flag := false; false);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   471
fun toggle flag = (flag := not (! flag); ! flag);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   472
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   473
fun change r f = r := f (! r);
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   474
18712
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   475
(*temporarily set flag during execution*)
2978
83a4c4f79dcd renamed set_ap to setmp;
wenzelm
parents: 2958
diff changeset
   476
fun setmp flag value f x =
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   477
  let
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   478
    val orig_value = ! flag;
18712
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   479
    val _ = flag := value;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   480
    val result = capture f x;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   481
    val _ = flag := orig_value;
836520885b8f tuned setmp;
wenzelm
parents: 18681
diff changeset
   482
  in release result end;
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   483
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   484
11853
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   485
(* conditional execution *)
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   486
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   487
fun conditional b f = if b then f () else ();
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   488
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   489
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   490
(** lists **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   491
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   492
exception UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   493
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   494
fun cons x xs = x :: xs;
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   495
fun single x = [x];
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   496
19273
05b6d220e509 added singleton;
wenzelm
parents: 19233
diff changeset
   497
fun singleton f x = (case f [x] of [y] => y | _ => raise Empty);
05b6d220e509 added singleton;
wenzelm
parents: 19233
diff changeset
   498
4629
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   499
fun append xs ys = xs @ ys;
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   500
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   501
fun apply [] x = x
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   502
  | apply (f :: fs) x = apply fs (f x);
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   503
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   504
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   505
(* fold *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   506
16654
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   507
fun fold f =
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   508
  let
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   509
    fun fold_aux [] y = y
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   510
      | fold_aux (x :: xs) y = fold_aux xs (f x y);
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   511
  in fold_aux end;
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   512
16654
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   513
fun fold_rev f =
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   514
  let
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   515
    fun fold_aux [] y = y
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   516
      | fold_aux (x :: xs) y = f x (fold_aux xs y);
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   517
  in fold_aux end;
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   518
16869
bc98da5727be reverted from fold_yield to fold_map
haftmann
parents: 16842
diff changeset
   519
fun fold_map f =
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   520
  let
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   521
    fun fold_aux [] y = ([], y)
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   522
      | fold_aux (x :: xs) y =
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   523
          let
16705
wenzelm
parents: 16694
diff changeset
   524
            val (x', y') = f x y;
wenzelm
parents: 16694
diff changeset
   525
            val (xs', y'') = fold_aux xs y';
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   526
          in (x' :: xs', y'') end;
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   527
  in fold_aux end;
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   528
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   529
(*the following versions of fold are designed to fit nicely with infixes*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   530
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   531
(*  (op @) (e, [x1, ..., xn])  ===>  ((e @ x1) @ x2) ... @ xn
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   532
    for operators that associate to the left (TAIL RECURSIVE)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   533
fun foldl (f: 'a * 'b -> 'a) : 'a * 'b list -> 'a =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   534
  let fun itl (e, [])  = e
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   535
        | itl (e, a::l) = itl (f(e, a), l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   536
  in  itl end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   537
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   538
(*  (op @) ([x1, ..., xn], e)  ===>   x1 @ (x2 ... @ (xn @ e))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   539
    for operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   540
fun foldr f (l, e) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   541
  let fun itr [] = e
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   542
        | itr (a::l) = f(a, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   543
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   544
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   545
(*  (op @) [x1, ..., xn]  ===>   x1 @ (x2 ... @ (x[n-1] @ xn))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   546
    for n > 0, operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   547
fun foldr1 f l =
4181
wenzelm
parents: 4139
diff changeset
   548
  let fun itr [x] = x
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   549
        | itr (x::l) = f(x, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   550
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   551
18050
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   552
fun fold_index f =
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   553
  let
18514
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   554
    fun fold_aux _ [] y = y
18050
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   555
      | fold_aux i (x :: xs) y = fold_aux (i+1) xs (f (i, x) y);
652c95961a8b fold_index replacing foldln
haftmann
parents: 18011
diff changeset
   556
  in fold_aux 0 end;
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   557
16705
wenzelm
parents: 16694
diff changeset
   558
fun foldl_map f =
wenzelm
parents: 16694
diff changeset
   559
  let
wenzelm
parents: 16694
diff changeset
   560
    fun fold_aux (x, []) = (x, [])
wenzelm
parents: 16694
diff changeset
   561
      | fold_aux (x, y :: ys) =
wenzelm
parents: 16694
diff changeset
   562
          let
wenzelm
parents: 16694
diff changeset
   563
            val (x', y') = f (x, y);
wenzelm
parents: 16694
diff changeset
   564
            val (x'', ys') = fold_aux (x', ys);
wenzelm
parents: 16694
diff changeset
   565
          in (x'', y' :: ys') end;
wenzelm
parents: 16694
diff changeset
   566
  in fold_aux end;
wenzelm
parents: 16694
diff changeset
   567
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   568
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   569
(* basic list functions *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   570
19483
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   571
fun maps f [] = []
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   572
  | maps f (x :: xs) = f x @ maps f xs;
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   573
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   574
fun chop 0 xs = ([], xs)
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   575
  | chop _ [] = ([], [])
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   576
  | chop n (x :: xs) = chop (n - 1) xs |>> cons x;
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   577
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   578
(*take the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   579
fun take (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   580
  | take (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   581
      if n > 0 then x :: take (n - 1, xs) else [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   582
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   583
(*drop the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   584
fun drop (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   585
  | drop (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   586
      if n > 0 then drop (n - 1, xs) else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   587
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   588
fun dropwhile P [] = []
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   589
  | dropwhile P (ys as x::xs) = if P x then dropwhile P xs else ys;
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   590
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   591
(*return nth element of a list, where 0 designates the first element;
18461
wenzelm
parents: 18452
diff changeset
   592
  raise Subscript if list too short*)
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   593
fun nth xs i = List.nth (xs, i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   594
18461
wenzelm
parents: 18452
diff changeset
   595
fun nth_list xss i = nth xss i handle Subscript => [];
wenzelm
parents: 18452
diff changeset
   596
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   597
(*update nth element*)
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   598
fun nth_update (n, x) xs =
19474
70223ad97843 removed splitAt (superceded by chop);
wenzelm
parents: 19461
diff changeset
   599
  (case chop n xs of
70223ad97843 removed splitAt (superceded by chop);
wenzelm
parents: 19461
diff changeset
   600
    (_, []) => raise Subscript
70223ad97843 removed splitAt (superceded by chop);
wenzelm
parents: 19461
diff changeset
   601
  | (prfx, _ :: sffx') => prfx @ (x :: sffx'));
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   602
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   603
fun nth_map 0 f (x :: xs) = f x :: xs
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   604
  | nth_map n f (x :: xs) = x :: nth_map (n - 1) f xs
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   605
  | nth_map _ _ [] = raise Subscript;
11773
983d2db52062 map_nth_elem;
wenzelm
parents: 11514
diff changeset
   606
18514
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   607
fun map_index f =
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   608
  let
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   609
    fun mapp _ [] = []
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   610
      | mapp i (x :: xs) = f (i, x) :: mapp (i+1) xs
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   611
  in mapp 0 end;
0cec730b3942 added map_index
haftmann
parents: 18461
diff changeset
   612
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   613
val last_elem = List.last;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   614
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   615
(*rear decomposition*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   616
fun split_last [] = raise Empty
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   617
  | split_last [x] = ([], x)
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   618
  | split_last (x :: xs) = apfst (cons x) (split_last xs);
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   619
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   620
(*find the position of an element in a list*)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   621
fun find_index pred =
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   622
  let fun find _ [] = ~1
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   623
        | find n (x :: xs) = if pred x then n else find (n + 1) xs;
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   624
  in find 0 end;
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   625
4224
79e205c3a82c made SML/NJ happy;
wenzelm
parents: 4212
diff changeset
   626
fun find_index_eq x = find_index (equal x);
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   627
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   628
(*find first element satisfying predicate*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   629
fun find_first _ [] = NONE
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   630
  | find_first pred (x :: xs) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   631
      if pred x then SOME x else find_first pred xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   632
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   633
(*get first element by lookup function*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   634
fun get_first _ [] = NONE
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   635
  | get_first f (x :: xs) =
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   636
      (case f x of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   637
        NONE => get_first f xs
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   638
      | some => some);
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   639
19233
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   640
fun get_index f =
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   641
  let
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   642
    fun get _ [] = NONE
19461
d3bc9c1ff241 made 'flat' pervasive (again);
wenzelm
parents: 19454
diff changeset
   643
      | get i (x :: xs) =
19233
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   644
          case f x
19461
d3bc9c1ff241 made 'flat' pervasive (again);
wenzelm
parents: 19454
diff changeset
   645
           of NONE => get (i + 1) xs
19233
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   646
            | SOME y => SOME (i, y)
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   647
  in get 0 end;
77ca20b0ed77 renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents: 19119
diff changeset
   648
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   649
fun eq_list _ ([], []) = true
19461
d3bc9c1ff241 made 'flat' pervasive (again);
wenzelm
parents: 19454
diff changeset
   650
  | eq_list eq (x :: xs, y :: ys) = eq (x, y) andalso eq_list eq (xs, ys)
19454
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   651
  | eq_list _ _ = false;
46a7e133f802 moved coalesce to AList, added equality predicates to library
haftmann
parents: 19424
diff changeset
   652
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   653
val flat = List.concat;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   654
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   655
fun unflat (xs :: xss) ys =
19424
b701ea590259 export unflat (again);
wenzelm
parents: 19383
diff changeset
   656
      let val (ps, qs) = chop (length xs) ys
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   657
      in ps :: unflat xss qs end
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   658
  | unflat [] [] = []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   659
  | unflat _ _ = raise UnequalLengths;
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   660
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   661
fun burrow f xss =
18359
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   662
  unflat xss ((f o flat) xss);
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   663
18549
5308a6ea3b96 rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents: 18514
diff changeset
   664
fun fold_burrow f xss s =
5308a6ea3b96 rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents: 18514
diff changeset
   665
  apfst (unflat xss) (f (flat xss) s);
18359
02a830bab542 added 'dig' combinator
haftmann
parents: 18333
diff changeset
   666
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   667
(*like Lisp's MAPC -- seq proc [x1, ..., xn] evaluates
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   668
  (proc x1; ...; proc xn) for side effects*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   669
val seq = List.app;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   670
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   671
(*separate s [x1, x2, ..., xn]  ===>  [x1, s, x2, s, ..., s, xn]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   672
fun separate s (x :: (xs as _ :: _)) = x :: s :: separate s xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   673
  | separate _ xs = xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   674
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   675
(*make the list [x, x, ..., x] of length n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   676
fun replicate n (x: 'a) : 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   677
  let fun rep (0, xs) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   678
        | rep (n, xs) = rep (n - 1, x :: xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   679
  in
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   680
    if n < 0 then raise Subscript
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   681
    else rep (n, [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   682
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   683
14926
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   684
fun translate_string f = String.translate (f o String.str);
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   685
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   686
(*multiply [a, b, c, ...] * [xs, ys, zs, ...]*)
18148
7921f41165cf curried multiply;
wenzelm
parents: 18050
diff changeset
   687
fun multiply [] _ = []
7921f41165cf curried multiply;
wenzelm
parents: 18050
diff changeset
   688
  | multiply (x :: xs) yss = map (cons x) yss @ multiply xs yss;
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   689
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   690
(*direct product*)
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   691
fun product _ [] = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   692
  | product [] _ = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   693
  | product (x :: xs) ys = map (pair x) ys @ product xs ys;
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   694
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   695
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   696
(* filter *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   697
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   698
(*copy the list preserving elements that satisfy the predicate*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   699
val filter = List.filter;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   700
fun filter_out f = filter (not o f);
19483
55ee839198bd renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents: 19474
diff changeset
   701
val map_filter = List.mapPartial;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   702
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   703
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   704
(* lists of pairs *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   705
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   706
exception UnequalLengths;
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   707
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   708
fun map2 _ [] [] = []
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   709
  | map2 f (x :: xs) (y :: ys) = f x y :: map2 f xs ys
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   710
  | map2 _ _ _ = raise UnequalLengths;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   711
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   712
fun fold2 f =
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   713
  let
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   714
    fun fold_aux [] [] z = z
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   715
      | fold_aux (x :: xs) (y :: ys) z = fold_aux xs ys (f x y z)
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   716
      | fold_aux _ _ _ = raise UnequalLengths;
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   717
  in fold_aux end;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   718
19799
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   719
fun zip_options (x :: xs) (SOME y :: ys) = (x, y) :: zip_options xs ys
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   720
  | zip_options (_ :: xs) (NONE :: ys) = zip_options xs ys
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   721
  | zip_options _ [] = []
666de5708ae8 added zip_options;
wenzelm
parents: 19691
diff changeset
   722
  | zip_options [] _ = raise UnequalLengths;
4956
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
   723
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   724
(*combine two lists forming a list of pairs:
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   725
  [x1, ..., xn] ~~ [y1, ..., yn]  ===>  [(x1, y1), ..., (xn, yn)]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   726
fun [] ~~ [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   727
  | (x :: xs) ~~ (y :: ys) = (x, y) :: (xs ~~ ys)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   728
  | _ ~~ _ = raise UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   729
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   730
(*inverse of ~~; the old 'split':
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   731
  [(x1, y1), ..., (xn, yn)]  ===>  ([x1, ..., xn], [y1, ..., yn])*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   732
val split_list = ListPair.unzip;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   733
18330
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   734
fun equal_lists eq (xs, ys) =
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   735
  let
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   736
    fun eq' [] [] = true
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   737
      | eq' (x :: xs) (y :: ys) = eq (x, y) andalso eq' xs ys
444f16d232a2 introduced new map2, fold
haftmann
parents: 18286
diff changeset
   738
  in length xs = length ys andalso eq' xs ys end;
7468
6ce03d2f7d91 equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool;
wenzelm
parents: 7090
diff changeset
   739
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   740
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   741
(* prefixes, suffixes *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   742
18441
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   743
fun is_prefix _ [] _ = true
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   744
  | is_prefix eq (x :: xs) (y :: ys) = eq (x, y) andalso is_prefix eq xs ys
7488d8ea61bc removed infix prefix, introduces burrow
haftmann
parents: 18427
diff changeset
   745
  | is_prefix eq _ _ = false;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   746
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   747
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., x(i-1)], [xi, ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   748
   where xi is the first element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   749
fun take_prefix (pred : 'a -> bool)  (xs: 'a list) : 'a list * 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   750
  let fun take (rxs, []) = (rev rxs, [])
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   751
        | take (rxs, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   752
            if  pred x  then  take(x :: rxs, xs)  else  (rev rxs, x :: xs)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   753
  in  take([], xs)  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   754
20108
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   755
fun chop_prefix eq ([], ys) = ([], ([], ys))
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   756
  | chop_prefix eq (xs, []) = ([], (xs, []))
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   757
  | chop_prefix eq (xs as x::xs', ys as y::ys') =
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   758
      if eq (x, y) then
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   759
        let val (ps', xys'') = chop_prefix eq (xs', ys')
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   760
        in (x::ps', xys'') end
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   761
      else ([], (xs, ys));
289050bdfff5 added chop_prefix
haftmann
parents: 20095
diff changeset
   762
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   763
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., xi], [x(i+1), ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   764
   where xi is the last element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   765
fun take_suffix _ [] = ([], [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   766
  | take_suffix pred (x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   767
      (case take_suffix pred xs of
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   768
        ([], sffx) => if pred x then ([], x :: sffx) else ([x], sffx)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   769
      | (prfx, sffx) => (x :: prfx, sffx));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   770
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   771
fun prefixes1 [] = []
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   772
  | prefixes1 (x :: xs) = map (cons x) ([] :: prefixes1 xs);
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   773
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   774
fun prefixes xs = [] :: prefixes1 xs;
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   775
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   776
fun suffixes1 xs = map rev (prefixes1 (rev xs));
19011
d1c3294ca417 added chop (sane version of splitAt);
wenzelm
parents: 18989
diff changeset
   777
fun suffixes xs = [] :: suffixes1 xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   778
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   779
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   780
(** integers **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   781
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   782
fun gcd (x, y) =
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   783
  let fun gxd x y : IntInf.int =
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   784
    if y = 0 then x else gxd y (x mod y)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   785
  in if x < y then gxd y x else gxd x y end;
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   786
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   787
fun lcm (x, y) = (x * y) div gcd (x, y);
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   788
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   789
fun inc i = (i := ! i + 1; ! i);
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   790
fun dec i = (i := ! i - 1; ! i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   791
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   792
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   793
(* lists of integers *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   794
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   795
(*make the list [from, from + 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   796
fun (from upto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   797
  if from > to then [] else from :: ((from + 1) upto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   798
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   799
(*make the list [from, from - 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   800
fun (from downto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   801
  if from < to then [] else from :: ((from - 1) downto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   802
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   803
(*predicate: downto0 (is, n) <=> is = [n, n - 1, ..., 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   804
fun downto0 (i :: is, n) = i = n andalso downto0 (is, n - 1)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   805
  | downto0 ([], n) = n = ~1;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   806
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   807
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   808
(* convert integers to strings *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   809
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   810
(*expand the number in the given base;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   811
  example: radixpand (2, 8) gives [1, 0, 0, 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   812
fun radixpand (base, num) : int list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   813
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   814
    fun radix (n, tail) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   815
      if n < base then n :: tail
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   816
      else radix (n div base, (n mod base) :: tail)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   817
  in radix (num, []) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   818
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   819
(*expands a number into a string of characters starting from "zerochar";
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   820
  example: radixstring (2, "0", 8) gives "1000"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   821
fun radixstring (base, zerochar, num) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   822
  let val offset = ord zerochar;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   823
      fun chrof n = chr (offset + n)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   824
  in implode (map chrof (radixpand (base, num))) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   825
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   826
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   827
val string_of_int = Int.toString;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   828
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   829
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
   830
  | string_of_indexname (a,i) = a ^ "_" ^ Int.toString i;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   831
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   832
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   833
(* read integers *)
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   834
20095
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   835
fun read_intinf radix cs =
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   836
  let
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   837
    val zero = ord "0";
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   838
    val limit = zero + radix;
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   839
    fun scan (num, []) = (num, [])
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   840
      | scan (num, c :: cs) =
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   841
        if zero <= ord c andalso ord c < limit then
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   842
          scan (IntInf.fromInt radix * num + IntInf.fromInt (ord c - zero), cs)
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   843
        else (num, c :: cs);
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   844
  in scan (0, cs) end;
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   845
20095
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   846
fun read_int cs = apfst IntInf.toInt (read_intinf 10 cs);
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   847
20095
432e914a0e95 replaced read_radixint by read_intinf;
wenzelm
parents: 20006
diff changeset
   848
fun oct_char s = chr (IntInf.toInt (#1 (read_intinf 8 (explode s))));
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   849
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   850
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   851
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   852
(** strings **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   853
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   854
(* functions tuned for strings, avoiding explode *)
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   855
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
   856
fun nth_string str i =
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   857
  (case try String.substring (str, i, 1) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   858
    SOME s => s
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   859
  | NONE => raise Subscript);
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   860
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   861
fun fold_string f str x0 =
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   862
  let
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   863
    val n = size str;
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   864
    fun iter (x, i) =
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   865
      if i < n then iter (f (String.substring (str, i, 1)) x, i + 1) else x;
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   866
  in iter (x0, 0) end;
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   867
14968
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   868
fun exists_string pred str =
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   869
  let
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   870
    val n = size str;
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   871
    fun ex i = i < n andalso (pred (String.substring (str, i, 1)) orelse ex (i + 1));
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   872
  in ex 0 end;
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   873
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   874
fun forall_string pred = not o exists_string (not o pred);
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   875
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   876
(*enclose in brackets*)
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   877
fun enclose lpar rpar str = lpar ^ str ^ rpar;
6642
732af87c0650 strip_quotes replaced by unenclose;
wenzelm
parents: 6510
diff changeset
   878
fun unenclose str = String.substring (str, 1, size str - 2);
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   879
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   880
(*simple quoting (does not escape special chars)*)
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   881
val quote = enclose "\"" "\"";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   882
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   883
(*space_implode "..." (explode "hello") = "h...e...l...l...o"*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   884
fun space_implode a bs = implode (separate a bs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   885
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   886
val commas = space_implode ", ";
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   887
val commas_quote = commas o map quote;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   888
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   889
(*concatenate messages, one per line, into a string*)
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   890
val cat_lines = space_implode "\n";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   891
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   892
(*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
   893
fun space_explode _ "" = []
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   894
  | space_explode sep str =
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   895
      let
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   896
        fun expl chs =
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   897
          (case take_prefix (fn s => s <> sep) chs of
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   898
            (cs, []) => [implode cs]
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   899
          | (cs, _ :: cs') => implode cs :: expl cs');
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   900
      in expl (explode str) end;
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   901
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   902
val split_lines = space_explode "\n";
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   903
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   904
fun prefix_lines "" txt = txt
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   905
  | prefix_lines prfx txt = txt |> split_lines |> map (fn s => prfx ^ s) |> cat_lines;
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   906
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   907
fun untabify chs =
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   908
  let
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   909
    val tab_width = 8;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   910
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   911
    fun untab (_, "\n") = (0, ["\n"])
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   912
      | untab (pos, "\t") =
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   913
          let val d = tab_width - (pos mod tab_width) in (pos + d, replicate d " ") end
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   914
      | untab (pos, c) = (pos + 1, [c]);
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   915
  in
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   916
    if not (exists (fn c => c = "\t") chs) then chs
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   917
    else flat (#2 (foldl_map untab (0, chs)))
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   918
  end;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   919
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   920
fun prefix prfx s = prfx ^ s;
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   921
fun suffix sffx s = s ^ sffx;
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   922
18681
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   923
fun unprefix prfx s =
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   924
  if String.isPrefix prfx s then String.substring (s, size prfx, size s - size prfx)
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   925
  else raise Fail "unprefix";
3020496cff28 added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents: 18549
diff changeset
   926
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   927
fun unsuffix sffx s =
17061
1df7ad3a6082 tuned unsuffix/unprefix;
wenzelm
parents: 17032
diff changeset
   928
  if String.isSuffix sffx s then String.substring (s, 0, size s - size sffx)
1df7ad3a6082 tuned unsuffix/unprefix;
wenzelm
parents: 17032
diff changeset
   929
  else raise Fail "unsuffix";
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   930
10951
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   931
fun replicate_string 0 _ = ""
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   932
  | replicate_string 1 a = a
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   933
  | replicate_string k a =
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   934
      if k mod 2 = 0 then replicate_string (k div 2) (a ^ a)
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   935
      else replicate_string (k div 2) (a ^ a) ^ a;
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   936
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   937
fun string_of_list f = enclose "[" "]" o commas o map f;
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   938
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   939
fun string_of_option f NONE = "NONE"
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   940
  | string_of_option f (SOME x) = "SOME (" ^ f x ^ ")";
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
   941
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   942
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   943
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   944
(** lists as sets -- see also Pure/General/ord_list.ML **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   945
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   946
(*canonical member, insert, remove*)
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   947
fun member eq list x =
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   948
  let
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   949
    fun memb [] = false
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   950
      | memb (y :: ys) = eq (x, y) orelse memb ys;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   951
  in memb list end;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   952
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   953
fun insert eq x xs = if member eq xs x then xs else x :: xs;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   954
fun remove eq x xs = if member eq xs x then filter_out (fn y => eq (x, y)) xs else xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   955
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   956
fun subtract eq = fold (remove eq);
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
   957
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   958
fun merge _ ([], ys) = ys
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   959
  | merge eq (xs, ys) = fold_rev (insert eq) ys xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   960
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   961
(*old-style infixes*)
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   962
fun x mem xs = member (op =) xs x;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   963
fun (x: int) mem_int xs = member (op =) xs x;
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   964
fun (x: string) mem_string xs = member (op =) xs x;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   965
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   966
fun x ins xs = insert (op =) x xs;
18989
wenzelm
parents: 18966
diff changeset
   967
fun (x: int) ins_int xs = insert (op =) x xs;
wenzelm
parents: 18966
diff changeset
   968
fun (x: string) ins_string xs = insert (op =) x xs;
wenzelm
parents: 18966
diff changeset
   969
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   970
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   971
(*union of sets represented as lists: no repetitions*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   972
fun xs union [] = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   973
  | [] union ys = ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   974
  | (x :: xs) union ys = xs union (x ins ys);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   975
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   976
(*union of sets, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   977
fun (xs:int list) union_int [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   978
  | [] union_int ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   979
  | (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
   980
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   981
(*union of sets, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   982
fun (xs:string list) union_string [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   983
  | [] union_string ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   984
  | (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
   985
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   986
(*generalized union*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   987
fun gen_union eq (xs, []) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   988
  | gen_union eq ([], ys) = ys
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
   989
  | gen_union eq (x :: xs, ys) = gen_union eq (xs, insert eq x ys);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   990
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   991
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   992
(*intersection*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   993
fun [] inter ys = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   994
  | (x :: xs) inter ys =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   995
      if x mem ys then x :: (xs inter ys) else xs inter ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   996
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   997
(*intersection, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   998
fun ([]:int list) inter_int ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   999
  | (x :: xs) inter_int ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1000
      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
  1001
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
  1002
(*intersection, optimized version for strings *)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1003
fun ([]:string list) inter_string ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1004
  | (x :: xs) inter_string ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1005
      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
  1006
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
  1007
(*generalized intersection*)
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
  1008
fun gen_inter eq ([], ys) = []
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1009
  | gen_inter eq (x::xs, ys) =
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
  1010
      if member eq ys x then x :: gen_inter eq (xs, ys)
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
  1011
      else gen_inter eq (xs, ys);
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
  1012
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1013
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1014
(*subset*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1015
fun [] subset ys = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1016
  | (x :: xs) subset ys = x mem ys andalso xs subset ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1017
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
  1018
(*subset, optimized version for ints*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1019
fun ([]: int list) subset_int ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1020
  | (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
  1021
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
  1022
(*subset, optimized version for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1023
fun ([]: string list) subset_string ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1024
  | (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
  1025
4363
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
  1026
(*set equality*)
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
  1027
fun eq_set (xs, ys) =
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
  1028
  xs = ys orelse (xs subset ys andalso ys subset xs);
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
  1029
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
  1030
(*set equality for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1031
fun eq_set_string ((xs: string list), ys) =
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1032
  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
  1033
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
  1034
fun gen_subset eq (xs, ys) = forall (member eq ys) xs;
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
  1035
19301
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
  1036
fun gen_eq_set eq (xs, ys) =
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
  1037
  equal_lists eq (xs, ys) orelse
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
  1038
    (gen_subset eq (xs, ys) andalso gen_subset (eq o swap) (ys, xs));
ce99525202fc added subtract;
wenzelm
parents: 19273
diff changeset
  1039
265
443dc2c37583 added eq_set;
wenzelm
parents: 255
diff changeset
  1040
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1041
(*removing an element from a list WITHOUT duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1042
fun (y :: ys) \ x = if x = y then ys else y :: (ys \ x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1043
  | [] \ x = [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1044
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1045
fun ys \\ xs = foldl (op \) (ys,xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1046
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1047
(*removing an element from a list -- possibly WITH duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1048
fun gen_rem eq (xs, y) = filter_out (fn x => eq (x, y)) xs;
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
  1049
fun gen_rems eq (xs, ys) = filter_out (member eq ys) xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1050
19046
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
  1051
(*returns the tail beginning with the first repeated element, or []*)
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
  1052
fun findrep [] = []
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
  1053
  | findrep (x :: xs) = if x mem xs then x :: xs else findrep xs;
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
  1054
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
  1055
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1056
(*makes a list of the distinct members of the input; preserves order, takes
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1057
  first of equal elements*)
19046
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
  1058
fun distinct eq lst =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1059
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1060
    fun dist (rev_seen, []) = rev rev_seen
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1061
      | dist (rev_seen, x :: xs) =
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
  1062
          if member eq rev_seen x then dist (rev_seen, xs)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1063
          else dist (x :: rev_seen, xs);
19046
bc5c6c9b114e removed distinct, renamed gen_distinct to distinct;
wenzelm
parents: 19011
diff changeset
  1064
  in dist ([], lst) end;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1065
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1066
(*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
  1067
  order, takes first of equal elements*)
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
  1068
fun duplicates eq lst =
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1069
  let
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1070
    fun dups (rev_dups, []) = rev rev_dups
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1071
      | dups (rev_dups, x :: xs) =
18923
34f9df073ad9 removed obsolete gen_ins/mem;
wenzelm
parents: 18712
diff changeset
  1072
          if member eq rev_dups x orelse not (member eq xs x) then
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1073
            dups (rev_dups, xs)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1074
          else dups (x :: rev_dups, xs);
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
  1075
  in dups ([], lst) end;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1076
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1077
fun has_duplicates eq =
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1078
  let
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1079
    fun dups [] = false
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1080
      | dups (x :: xs) = member eq xs x orelse dups xs;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1081
  in dups end;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1082
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1083
19119
dea8d858d37f abandoned merge_alists' in favour of generic AList.merge
haftmann
parents: 19046
diff changeset
  1084
(** association lists -- legacy operations **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1085
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1086
fun gen_merge_lists _ xs [] = xs
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1087
  | gen_merge_lists _ [] ys = ys
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1088
  | gen_merge_lists eq xs ys = xs @ gen_rems eq (ys, xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1089
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1090
fun merge_lists xs ys = gen_merge_lists (op =) xs ys;
17498
d83af87bbdc5 improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents: 17486
diff changeset
  1091
fun merge_alists al = gen_merge_lists (eq_fst (op =)) al;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1092
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1093
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1094
(** balanced trees **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1095
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1096
exception Balance;      (*indicates non-positive argument to balancing fun*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1097
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1098
(*balanced folding; avoids deep nesting*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1099
fun fold_bal f [x] = x
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1100
  | fold_bal f [] = raise Balance
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1101
  | fold_bal f xs =
19474
70223ad97843 removed splitAt (superceded by chop);
wenzelm
parents: 19461
diff changeset
  1102
      let val (ps, qs) = chop (length xs div 2) xs
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
  1103
      in  f (fold_bal f ps, fold_bal f qs)  end;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1104
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1105
(*construct something of the form f(...g(...(x)...)) for balanced access*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1106
fun access_bal (f, g, x) n i =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1107
  let fun acc n i =     (*1<=i<=n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1108
          if n=1 then x else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1109
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1110
          in  if i<=n2 then f (acc n2 i)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1111
                       else g (acc (n-n2) (i-n2))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1112
          end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1113
  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
  1114
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1115
(*construct ALL such accesses; could try harder to share recursive calls!*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1116
fun accesses_bal (f, g, x) n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1117
  let fun acc n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1118
          if n=1 then [x] else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1119
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1120
              val acc2 = acc n2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1121
          in  if n-n2=n2 then map f acc2 @ map g acc2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1122
                         else map f acc2 @ map g (acc (n-n2)) end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1123
  in  if 1<=n then acc n else raise Balance  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1124
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1125
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1126
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1127
(** orders **)
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1128
18966
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
  1129
fun is_equal EQUAL = true
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
  1130
  | is_equal _ = false;
dc49d8b18886 removed eq-polymorphic duplicates;
wenzelm
parents: 18923
diff changeset
  1131
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1132
fun rev_order LESS = GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1133
  | rev_order EQUAL = EQUAL
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1134
  | rev_order GREATER = LESS;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1135
4479
708d7c26db5b improved comment;
wenzelm
parents: 4445
diff changeset
  1136
(*assume rel is a linear strict order*)
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1137
fun make_ord rel (x, y) =
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1138
  if rel (x, y) then LESS
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1139
  else if rel (y, x) then GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1140
  else EQUAL;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1141
15051
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
  1142
val int_ord = Int.compare;
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
  1143
val string_ord = String.compare;
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1144
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1145
fun fast_string_ord (s1, s2) =
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1146
  (case int_ord (size s1, size s2) of EQUAL => string_ord (s1, s2) | ord => ord);
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1147
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1148
fun option_ord ord (SOME x, SOME y) = ord (x, y)
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1149
  | option_ord _ (NONE, NONE) = EQUAL
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1150
  | option_ord _ (NONE, SOME _) = LESS
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1151
  | option_ord _ (SOME _, NONE) = GREATER;
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1152
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1153
(*lexicographic product*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1154
fun prod_ord a_ord b_ord ((x, y), (x', y')) =
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1155
  (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
  1156
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1157
(*dictionary order -- in general NOT well-founded!*)
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1158
fun dict_ord elem_ord (x :: xs, y :: ys) =
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1159
      (case elem_ord (x, y) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord)
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1160
  | dict_ord _ ([], []) = EQUAL
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1161
  | dict_ord _ ([], _ :: _) = LESS
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1162
  | dict_ord _ (_ :: _, []) = GREATER;
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1163
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1164
(*lexicographic product of lists*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1165
fun list_ord elem_ord (xs, ys) =
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1166
  (case int_ord (length xs, length ys) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord);
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1167
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1168
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1169
(* sorting *)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1170
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1171
(*quicksort -- stable, i.e. does not reorder equal elements*)
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1172
fun quicksort unique ord =
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1173
  let
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1174
    fun qsort [] = []
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1175
      | qsort (xs as [_]) = xs
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1176
      | qsort (xs as [x, y]) =
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1177
          (case ord (x, y) of
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1178
            LESS => xs
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1179
          | EQUAL => if unique then [x] else xs
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1180
          | GREATER => [y, x])
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1181
      | qsort xs =
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
  1182
          let val (lts, eqs, gts) = part (nth xs (length xs div 2)) xs
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1183
          in qsort lts @ eqs @ qsort gts end
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1184
    and part _ [] = ([], [], [])
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1185
      | part pivot (x :: xs) = add (ord (x, pivot)) x (part pivot xs)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1186
    and add LESS x (lts, eqs, gts) = (x :: lts, eqs, gts)
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1187
      | add EQUAL x (lts, [], gts) = (lts, [x], gts)
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1188
      | add EQUAL x (res as (lts, eqs, gts)) = if unique then res else (lts, x :: eqs, gts)
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1189
      | add GREATER x (lts, eqs, gts) = (lts, eqs, x :: gts);
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1190
  in qsort end;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1191
18427
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1192
fun sort ord = quicksort false ord;
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1193
fun sort_distinct ord = quicksort true ord;
b7ee916ae3ec added sort_distinct;
wenzelm
parents: 18376
diff changeset
  1194
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1195
val sort_strings = sort string_ord;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1196
fun sort_wrt sel xs = sort (string_ord o pairself sel) xs;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1197
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1198
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1199
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1200
(** random numbers **)
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1201
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1202
exception RANDOM;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1203
14618
068bb99f3ebd Fixed bug in rmod that caused an overflow exception in SML/NJ.
berghofe
parents: 14472
diff changeset
  1204
fun rmod x y = x - y * Real.realFloor (x / y);
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1205
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1206
local
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1207
  val a = 16807.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1208
  val m = 2147483647.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1209
  val random_seed = ref 1.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1210
in
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1211
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1212
fun random () =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1213
  let val r = rmod (a * !random_seed) m
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1214
  in (random_seed := r; r) end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1215
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1216
end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1217
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1218
fun random_range l h =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1219
  if h < l orelse l < 0 then raise RANDOM
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1220
  else l + Real.floor (rmod (random ()) (real (h - l + 1)));
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1221
18011
685d95c793ff cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents: 17952
diff changeset
  1222
fun one_of xs = nth xs (random_range 0 (length xs - 1));
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1223
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1224
fun frequency xs =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1225
  let
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1226
    val sum = foldl op + (0, map fst xs);
17756
d4a35f82fbb4 minor tweaks for Poplog/ML;
wenzelm
parents: 17545
diff changeset
  1227
    fun pick n ((k: int, x) :: xs) =
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1228
      if n <= k then x else pick (n - k) xs
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1229
  in pick (random_range 1 sum) xs end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1230
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1231
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
  1232
(** current directory **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1233
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1234
val cd = OS.FileSys.chDir;
2317
672015b535d7 added pwd;
wenzelm
parents: 2303
diff changeset
  1235
val pwd = OS.FileSys.getDir;
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1236
3606
5d7073700fbc Added function "file_exists".
berghofe
parents: 3553
diff changeset
  1237
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1238
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1239
(** misc **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1240
19644
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1241
fun divide_and_conquer decomp x =
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1242
  let val (ys, recomb) = decomp x
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1243
  in recomb (map (divide_and_conquer decomp) ys) end;
0b01436e1843 added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents: 19596
diff changeset
  1244
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1245
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1246
(*Partition a list into buckets  [ bi, b(i+1), ..., bj ]
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1247
   putting x in bk if p(k)(x) holds.  Preserve order of elements if possible.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1248
fun partition_list p i j =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1249
  let fun part k xs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1250
            if k>j then
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1251
              (case xs of [] => []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1252
                         | _ => raise Fail "partition_list")
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1253
            else
19691
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1254
            let val (ns, rest) = List.partition (p k) xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1255
            in  ns :: part(k+1)rest  end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1256
  in  part i end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1257
19691
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1258
fun partition_eq (eq:'a * 'a -> bool) =
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1259
  let
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1260
    fun part [] = []
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1261
      | part (x :: ys) =
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1262
          let val (xs, xs') = List.partition (fn y => eq (x, y)) ys
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1263
          in (x::xs)::(part xs') end
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1264
  in part end;
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1265
dd9ccb370f52 removed obsolete partition (cf. List.partition);
wenzelm
parents: 19644
diff changeset
  1266
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1267
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1268
(* generating identifiers *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1269
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1270
(** Freshly generated identifiers; supplied prefix MUST start with a letter **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1271
local
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1272
(*Maps 0-63 to A-Z, a-z, 0-9 or _ or ' for generating random identifiers*)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1273
fun char i =      if i<26 then chr (ord "A" + i)
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1274
             else if i<52 then chr (ord "a" + i - 26)
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1275
             else if i<62 then chr (ord"0" + i - 52)
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1276
             else if i=62 then "_"
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1277
             else  (*i=63*)    "'";
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1278
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1279
val charVec = Vector.tabulate (64, char);
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1280
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1281
fun newid n =
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1282
  let
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1283
  in  implode (map (fn i => Vector.sub(charVec,i)) (radixpand (64,n)))  end;
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1284
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1285
val seedr = ref 0;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1286
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1287
in
4284
eb65491ae776 removed merge_opts;
wenzelm
parents: 4255
diff changeset
  1288
12346
e7b1956f4eae removed questionable init_gensym;
wenzelm
parents: 12295
diff changeset
  1289
fun gensym pre = pre ^ (#1(newid (!seedr), inc seedr));
2003
b48f066d52dc Addition of gensym
paulson
parents: 1628
diff changeset
  1290
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1291
end;
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1292
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1293
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1294
(* lexical scanning *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1295
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1296
(*scan a list of characters into "words" composed of "letters" (recognized by
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1297
  is_let) and separated by any number of non-"letters"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1298
fun scanwords is_let cs =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1299
  let fun scan1 [] = []
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1300
        | scan1 cs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1301
            let val (lets, rest) = take_prefix is_let cs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1302
            in implode lets :: scanwords is_let rest end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1303
  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
  1304
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
  1305
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1306
(* stamps and serial numbers *)
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1307
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1308
type stamp = unit ref;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1309
val stamp: unit -> stamp = ref;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1310
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1311
type serial = int;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1312
local val count = ref 0
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1313
in fun serial () = inc count end;
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
  1314
19512
94cd541dc8fa added serial_string;
wenzelm
parents: 19483
diff changeset
  1315
val serial_string = string_of_int o serial;
94cd541dc8fa added serial_string;
wenzelm
parents: 19483
diff changeset
  1316
16535
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1317
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1318
(* generic objects *)
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1319
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1320
(*note that the builtin exception datatype may be extended by new
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1321
  constructors at any time*)
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1322
structure Object = struct type T = exn end;
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
  1323
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1324
end;
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
  1325