author | wenzelm |
Sat, 22 Oct 2011 23:29:11 +0200 | |
changeset 45249 | b769a3a370ad |
parent 44617 | 5db68864a967 |
child 45626 | b4f374a45668 |
permissions | -rw-r--r-- |
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1 |
(* Title: Pure/library.ML |
233 | 2 |
Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
16188 | 3 |
Author: Markus Wenzel, TU Muenchen |
0 | 4 |
|
28732 | 5 |
Basic library: functions, pairs, booleans, lists, integers, |
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strings, lists as sets, orders, current directory, misc. |
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See also General/basics.ML for the most fundamental concepts. |
0 | 9 |
*) |
10 |
||
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11 |
infix 2 ? |
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12 |
infix 3 o oo ooo oooo |
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infix 4 ~~ upto downto |
36692
54b64d4ad524
farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
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infix orf andf |
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|
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signature BASIC_LIBRARY = |
4621 | 17 |
sig |
18 |
(*functions*) |
|
23860 | 19 |
val undefined: 'a -> 'b |
16842 | 20 |
val I: 'a -> 'a |
21 |
val K: 'a -> 'b -> 'a |
|
4621 | 22 |
val curry: ('a * 'b -> 'c) -> 'a -> 'b -> 'c |
23 |
val uncurry: ('a -> 'b -> 'c) -> 'a * 'b -> 'c |
|
21565 | 24 |
val ? : bool * ('a -> 'a) -> 'a -> 'a |
16721 | 25 |
val oo: ('a -> 'b) * ('c -> 'd -> 'a) -> 'c -> 'd -> 'b |
26 |
val ooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'a) -> 'c -> 'd -> 'e -> 'b |
|
27 |
val oooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'f -> 'a) -> 'c -> 'd -> 'e -> 'f -> 'b |
|
16842 | 28 |
val funpow: int -> ('a -> 'a) -> 'a -> 'a |
31250 | 29 |
val funpow_yield: int -> ('a -> 'b * 'a) -> 'a -> 'b list * 'a |
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files now define a structure to allow SML/NJ to optimize the code
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30 |
|
43652 | 31 |
(*user errors*) |
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exception ERROR of string |
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val error: string -> 'a |
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val cat_error: string -> string -> 'a |
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val assert_all: ('a -> bool) -> 'a list -> ('a -> string) -> unit |
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36 |
|
4621 | 37 |
(*pairs*) |
38 |
val pair: 'a -> 'b -> 'a * 'b |
|
39 |
val rpair: 'a -> 'b -> 'b * 'a |
|
40 |
val fst: 'a * 'b -> 'a |
|
41 |
val snd: 'a * 'b -> 'b |
|
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improved eq_fst and eq_snd, removed some deprecated stuff
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42 |
val eq_fst: ('a * 'c -> bool) -> ('a * 'b) * ('c * 'd) -> bool |
d83af87bbdc5
improved eq_fst and eq_snd, removed some deprecated stuff
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val eq_snd: ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool |
19454
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moved coalesce to AList, added equality predicates to library
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44 |
val eq_pair: ('a * 'c -> bool) -> ('b * 'd -> bool) -> ('a * 'b) * ('c * 'd) -> bool |
4621 | 45 |
val swap: 'a * 'b -> 'b * 'a |
46 |
val apfst: ('a -> 'b) -> 'a * 'c -> 'b * 'c |
|
47 |
val apsnd: ('a -> 'b) -> 'c * 'a -> 'c * 'b |
|
48 |
val pairself: ('a -> 'b) -> 'a * 'a -> 'b * 'b |
|
49 |
||
50 |
(*booleans*) |
|
51 |
val equal: ''a -> ''a -> bool |
|
52 |
val not_equal: ''a -> ''a -> bool |
|
53 |
val orf: ('a -> bool) * ('a -> bool) -> 'a -> bool |
|
54 |
val andf: ('a -> bool) * ('a -> bool) -> 'a -> bool |
|
55 |
val exists: ('a -> bool) -> 'a list -> bool |
|
56 |
val forall: ('a -> bool) -> 'a list -> bool |
|
32966
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indicate CRITICAL nature of various setmp combinators;
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57 |
val setmp_CRITICAL: 'a Unsynchronized.ref -> 'a -> ('b -> 'c) -> 'b -> 'c |
25797 | 58 |
val setmp_thread_data: 'a Universal.tag -> 'a -> 'a -> ('b -> 'c) -> 'b -> 'c |
4621 | 59 |
|
60 |
(*lists*) |
|
5285 | 61 |
val single: 'a -> 'a list |
20882 | 62 |
val the_single: 'a list -> 'a |
19273 | 63 |
val singleton: ('a list -> 'b list) -> 'a -> 'b |
25061 | 64 |
val yield_singleton: ('a list -> 'c -> 'b list * 'c) -> 'a -> 'c -> 'b * 'c |
5904 | 65 |
val apply: ('a -> 'a) list -> 'a -> 'a |
25058 | 66 |
val perhaps_apply: ('a -> 'a option) list -> 'a -> 'a option |
67 |
val perhaps_loop: ('a -> 'a option) -> 'a -> 'a option |
|
25681 | 68 |
val foldl1: ('a * 'a -> 'a) -> 'a list -> 'a |
15760 | 69 |
val foldr1: ('a * 'a -> 'a) -> 'a list -> 'a |
19461 | 70 |
val flat: 'a list list -> 'a list |
19424 | 71 |
val unflat: 'a list list -> 'b list -> 'b list list |
18441 | 72 |
val burrow: ('a list -> 'b list) -> 'a list list -> 'b list list |
24864 | 73 |
val burrow_options: ('a list -> 'b list) -> 'a option list -> 'b option list |
28347 | 74 |
val burrow_fst: ('a list -> 'b list) -> ('a * 'c) list -> ('b * 'c) list |
18549
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rearranged burrow_split to fold_burrow to allow composition with fold_map
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val fold_burrow: ('a list -> 'c -> 'b list * 'd) -> 'a list list -> 'c -> 'b list list * 'd |
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76 |
val maps: ('a -> 'b list) -> 'a list -> 'b list |
25549 | 77 |
val filter: ('a -> bool) -> 'a list -> 'a list |
78 |
val filter_out: ('a -> bool) -> 'a list -> 'a list |
|
79 |
val map_filter: ('a -> 'b option) -> 'a list -> 'b list |
|
33955 | 80 |
val take: int -> 'a list -> 'a list |
81 |
val drop: int -> 'a list -> 'a list |
|
19011 | 82 |
val chop: int -> 'a list -> 'a list * 'a list |
39811 | 83 |
val chop_while: ('a -> bool) -> 'a list -> 'a list * 'a list |
18278 | 84 |
val nth: 'a list -> int -> 'a |
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cleaned up nth, nth_update, nth_map and nth_string functions
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85 |
val nth_map: int -> ('a -> 'a) -> 'a list -> 'a list |
24846 | 86 |
val nth_drop: int -> 'a list -> 'a list |
18286 | 87 |
val nth_list: 'a list list -> int -> 'a list |
18514 | 88 |
val map_index: (int * 'a -> 'b) -> 'a list -> 'b list |
89 |
val fold_index: (int * 'a -> 'b -> 'b) -> 'a list -> 'b -> 'b |
|
33063 | 90 |
val map_range: (int -> 'a) -> int -> 'a list |
4621 | 91 |
val split_last: 'a list -> 'a list * 'a |
92 |
val find_index: ('a -> bool) -> 'a list -> int |
|
93 |
val find_first: ('a -> bool) -> 'a list -> 'a option |
|
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renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
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94 |
val get_index: ('a -> 'b option) -> 'a list -> (int * 'b) option |
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get_first: ('a -> 'b option) -> 'a list -> 'b option;
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95 |
val get_first: ('a -> 'b option) -> 'a list -> 'b option |
42403
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slightly more special eq_list/eq_set, with shortcut involving pointer_eq;
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96 |
val eq_list: ('a * 'a -> bool) -> 'a list * 'a list -> bool |
18330 | 97 |
val map2: ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list |
98 |
val fold2: ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c |
|
40721 | 99 |
val fold_rev2: ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c |
40564 | 100 |
val forall2: ('a -> 'b -> bool) -> 'a list -> 'b list -> bool |
19799 | 101 |
val zip_options: 'a list -> 'b option list -> ('a * 'b) list |
18330 | 102 |
val ~~ : 'a list * 'b list -> ('a * 'b) list |
25943 | 103 |
val map_split: ('a -> 'b * 'c) -> 'a list -> 'b list * 'c list |
18330 | 104 |
val split_list: ('a * 'b) list -> 'a list * 'b list |
26449 | 105 |
val map_product: ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list |
106 |
val fold_product: ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c |
|
32352 | 107 |
val map_transpose: ('a list -> 'b) -> 'a list list -> 'b list |
4621 | 108 |
val separate: 'a -> 'a list -> 'a list |
25980 | 109 |
val surround: 'a -> 'a list -> 'a list |
4621 | 110 |
val replicate: int -> 'a -> 'a list |
18441 | 111 |
val is_prefix: ('a * 'a -> bool) -> 'a list -> 'a list -> bool |
4621 | 112 |
val take_prefix: ('a -> bool) -> 'a list -> 'a list * 'a list |
20108 | 113 |
val chop_prefix: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list * ('a list * 'b list) |
4621 | 114 |
val take_suffix: ('a -> bool) -> 'a list -> 'a list * 'a list |
12249 | 115 |
val prefixes1: 'a list -> 'a list list |
19011 | 116 |
val prefixes: 'a list -> 'a list list |
12249 | 117 |
val suffixes1: 'a list -> 'a list list |
19011 | 118 |
val suffixes: 'a list -> 'a list list |
4621 | 119 |
|
120 |
(*integers*) |
|
121 |
val upto: int * int -> int list |
|
122 |
val downto: int * int -> int list |
|
123 |
val radixpand: int * int -> int list |
|
124 |
val radixstring: int * string * int -> string |
|
125 |
val string_of_int: int -> string |
|
21942
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added signed_string_of_int (pruduces proper - instead of SML's ~);
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126 |
val signed_string_of_int: int -> string |
4621 | 127 |
val string_of_indexname: string * int -> string |
24630
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simplified type int (eliminated IntInf.int, integer);
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128 |
val read_radix_int: int -> string list -> int * string list |
14826
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output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
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129 |
val read_int: string list -> int * string list |
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output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
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130 |
val oct_char: string -> string |
4621 | 131 |
|
132 |
(*strings*) |
|
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cleaned up nth, nth_update, nth_map and nth_string functions
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133 |
val nth_string: string -> int -> string |
16188 | 134 |
val fold_string: (string -> 'a -> 'a) -> string -> 'a -> 'a |
6312 | 135 |
val exists_string: (string -> bool) -> string -> bool |
16188 | 136 |
val forall_string: (string -> bool) -> string -> bool |
28025 | 137 |
val first_field: string -> string -> (string * string) option |
4621 | 138 |
val enclose: string -> string -> string -> string |
6642 | 139 |
val unenclose: string -> string |
4621 | 140 |
val quote: string -> string |
141 |
val space_implode: string -> string list -> string |
|
142 |
val commas: string list -> string |
|
143 |
val commas_quote: string list -> string |
|
144 |
val cat_lines: string list -> string |
|
145 |
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;
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146 |
val split_lines: string -> string list |
5942 | 147 |
val prefix_lines: string -> string -> string |
18681
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added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
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148 |
val prefix: string -> string -> string |
5285 | 149 |
val suffix: string -> string -> string |
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added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
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150 |
val unprefix: string -> string -> string |
5285 | 151 |
val unsuffix: string -> string -> string |
10951 | 152 |
val replicate_string: int -> string -> string |
14926 | 153 |
val translate_string: (string -> string) -> string -> string |
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New command find_consts searching for constants by type (by Timothy Bourke).
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154 |
val match_string: string -> string -> bool |
4621 | 155 |
|
41516
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smart_string_of_real: print integer values without fractional part;
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156 |
(*reals*) |
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157 |
val string_of_real: real -> string |
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smart_string_of_real: print integer values without fractional part;
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158 |
val signed_string_of_real: real -> string |
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smart_string_of_real: print integer values without fractional part;
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159 |
val smart_string_of_real: real -> string |
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smart_string_of_real: print integer values without fractional part;
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160 |
|
16492 | 161 |
(*lists as sets -- see also Pure/General/ord_list.ML*) |
18923 | 162 |
val member: ('b * 'a -> bool) -> 'a list -> 'b -> bool |
163 |
val insert: ('a * 'a -> bool) -> 'a -> 'a list -> 'a list |
|
164 |
val remove: ('b * 'a -> bool) -> 'b -> 'a list -> 'a list |
|
24049 | 165 |
val update: ('a * 'a -> bool) -> 'a -> 'a list -> 'a list |
33042 | 166 |
val union: ('a * 'a -> bool) -> 'a list -> 'a list -> 'a list |
19301 | 167 |
val subtract: ('b * 'a -> bool) -> 'b list -> 'a list -> 'a list |
33049
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curried inter as canonical list operation (beware of argument order)
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168 |
val inter: ('a * 'b -> bool) -> 'b list -> 'a list -> 'a list |
18923 | 169 |
val merge: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list |
33038 | 170 |
val subset: ('a * 'b -> bool) -> 'a list * 'b list -> bool |
42403
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slightly more special eq_list/eq_set, with shortcut involving pointer_eq;
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171 |
val eq_set: ('a * 'a -> bool) -> 'a list * 'a list -> bool |
19046
bc5c6c9b114e
removed distinct, renamed gen_distinct to distinct;
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172 |
val distinct: ('a * 'a -> bool) -> 'a list -> 'a list |
18966 | 173 |
val duplicates: ('a * 'a -> bool) -> 'a list -> 'a list |
16878 | 174 |
val has_duplicates: ('a * 'a -> bool) -> 'a list -> bool |
4621 | 175 |
|
23220 | 176 |
(*lists as multisets*) |
22142 | 177 |
val remove1: ('b * 'a -> bool) -> 'b -> 'a list -> 'a list |
33078
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multiset operations with canonical argument order
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178 |
val combine: ('a * 'a -> bool) -> 'a list -> 'a list -> 'a list |
33079 | 179 |
val submultiset: ('a * 'b -> bool) -> 'a list * 'b list -> bool |
4621 | 180 |
|
181 |
(*orders*) |
|
18966 | 182 |
val is_equal: order -> bool |
4621 | 183 |
val rev_order: order -> order |
184 |
val make_ord: ('a * 'a -> bool) -> 'a * 'a -> order |
|
25224 | 185 |
val bool_ord: bool * bool -> order |
4621 | 186 |
val int_ord: int * int -> order |
187 |
val string_ord: string * string -> order |
|
16676 | 188 |
val fast_string_ord: string * string -> order |
16492 | 189 |
val option_ord: ('a * 'b -> order) -> 'a option * 'b option -> order |
4621 | 190 |
val prod_ord: ('a * 'b -> order) -> ('c * 'd -> order) -> ('a * 'c) * ('b * 'd) -> order |
191 |
val dict_ord: ('a * 'b -> order) -> 'a list * 'b list -> order |
|
192 |
val list_ord: ('a * 'b -> order) -> 'a list * 'b list -> order |
|
193 |
val sort: ('a * 'a -> order) -> 'a list -> 'a list |
|
18427 | 194 |
val sort_distinct: ('a * 'a -> order) -> 'a list -> 'a list |
4621 | 195 |
val sort_strings: string list -> string list |
196 |
val sort_wrt: ('a -> string) -> 'a list -> 'a list |
|
30558
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
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197 |
val tag_list: int -> 'a list -> (int * 'a) list |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
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198 |
val untag_list: (int * 'a) list -> 'a list |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
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199 |
val order_list: (int * 'a) list -> 'a list |
4621 | 200 |
|
14106
bbf708a7e27f
Added several functions for producing random numbers.
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|
201 |
(*random numbers*) |
bbf708a7e27f
Added several functions for producing random numbers.
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|
202 |
exception RANDOM |
bbf708a7e27f
Added several functions for producing random numbers.
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|
203 |
val random: unit -> real |
bbf708a7e27f
Added several functions for producing random numbers.
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204 |
val random_range: int -> int -> int |
bbf708a7e27f
Added several functions for producing random numbers.
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205 |
val one_of: 'a list -> 'a |
bbf708a7e27f
Added several functions for producing random numbers.
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206 |
val frequency: (int * 'a) list -> 'a |
bbf708a7e27f
Added several functions for producing random numbers.
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207 |
|
4621 | 208 |
(*misc*) |
19644
0b01436e1843
added divide_and_conquer combinator (by Amine Chaieb);
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|
209 |
val divide_and_conquer: ('a -> 'a list * ('b list -> 'b)) -> 'a -> 'b |
32978 | 210 |
val divide_and_conquer': ('a -> 'b -> ('a list * ('c list * 'b -> 'c * 'b)) * 'b) -> |
211 |
'a -> 'b -> 'c * 'b |
|
4621 | 212 |
val partition_eq: ('a * 'a -> bool) -> 'a list -> 'a list list |
213 |
val partition_list: (int -> 'a -> bool) -> int -> int -> 'a list -> 'a list list |
|
43559
c1966f322105
old gensym is now legacy -- global state is out of fashion, and its result is not guaranteed to be fresh;
wenzelm
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|
214 |
val legacy_gensym: string -> string |
40509 | 215 |
type stamp = unit Unsynchronized.ref |
16439 | 216 |
val stamp: unit -> stamp |
40509 | 217 |
type serial = int |
16439 | 218 |
val serial: unit -> serial |
19512 | 219 |
val serial_string: unit -> string |
40509 | 220 |
structure Object: sig type T = exn end |
43603 | 221 |
val cd: string -> unit |
222 |
val pwd: unit -> string |
|
223 |
val getenv: string -> string |
|
224 |
val getenv_strict: string -> string |
|
4621 | 225 |
end; |
226 |
||
15745 | 227 |
signature LIBRARY = |
15570 | 228 |
sig |
15745 | 229 |
include BASIC_LIBRARY |
15570 | 230 |
val foldl: ('a * 'b -> 'a) -> 'a * 'b list -> 'a |
231 |
val foldr: ('a * 'b -> 'b) -> 'a list * 'b -> 'b |
|
30190 | 232 |
val foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list |
15570 | 233 |
end; |
234 |
||
15745 | 235 |
structure Library: LIBRARY = |
1364
8ea1a962ad72
files now define a structure to allow SML/NJ to optimize the code
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parents:
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diff
changeset
|
236 |
struct |
0 | 237 |
|
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|
238 |
(* functions *) |
0 | 239 |
|
23860 | 240 |
fun undefined _ = raise Match; |
241 |
||
16842 | 242 |
fun I x = x; |
243 |
fun K x = fn _ => x; |
|
233 | 244 |
fun curry f x y = f (x, y); |
245 |
fun uncurry f (x, y) = f x y; |
|
0 | 246 |
|
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added ? combinator for conditional transformations
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changeset
|
247 |
(*conditional application*) |
21565 | 248 |
fun b ? f = fn x => if b then f x else x; |
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added ? combinator for conditional transformations
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changeset
|
249 |
|
16721 | 250 |
(*composition with multiple args*) |
251 |
fun (f oo g) x y = f (g x y); |
|
252 |
fun (f ooo g) x y z = f (g x y z); |
|
253 |
fun (f oooo g) x y z w = f (g x y z w); |
|
254 |
||
31250 | 255 |
(*function exponentiation: f (... (f x) ...) with n applications of f*) |
256 |
fun funpow (0 : int) _ = I |
|
257 |
| funpow n f = f #> funpow (n - 1) f; |
|
160 | 258 |
|
31250 | 259 |
fun funpow_yield (0 : int) _ x = ([], x) |
260 |
| funpow_yield n f x = x |> f ||>> funpow_yield (n - 1) f |>> op ::; |
|
160 | 261 |
|
40318
035b2afbeb2e
discontinued obsolete function sys_error and exception SYS_ERROR;
wenzelm
parents:
40291
diff
changeset
|
262 |
|
43652 | 263 |
(* user errors *) |
18681
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
264 |
|
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
265 |
exception ERROR of string; |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
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diff
changeset
|
266 |
fun error msg = raise ERROR msg; |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
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diff
changeset
|
267 |
|
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
268 |
fun cat_error "" msg = error msg |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
269 |
| 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
|
270 |
|
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
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diff
changeset
|
271 |
fun assert_all pred list msg = |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
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diff
changeset
|
272 |
let |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
273 |
fun ass [] = () |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
274 |
| 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:
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diff
changeset
|
275 |
in ass list end; |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
276 |
|
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
277 |
|
21395
f34ac19659ae
moved some fundamental concepts to General/basics.ML;
wenzelm
parents:
21335
diff
changeset
|
278 |
(* pairs *) |
233 | 279 |
|
280 |
fun pair x y = (x, y); |
|
281 |
fun rpair x y = (y, x); |
|
282 |
||
283 |
fun fst (x, y) = x; |
|
284 |
fun snd (x, y) = y; |
|
285 |
||
17498
d83af87bbdc5
improved eq_fst and eq_snd, removed some deprecated stuff
haftmann
parents:
17486
diff
changeset
|
286 |
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
|
287 |
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
|
288 |
fun eq_pair eqx eqy ((x1, y1), (x2, y2)) = eqx (x1, x2) andalso eqy (y1, y2); |
233 | 289 |
|
290 |
fun swap (x, y) = (y, x); |
|
291 |
||
292 |
fun apfst f (x, y) = (f x, y); |
|
293 |
fun apsnd f (x, y) = (x, f y); |
|
4212 | 294 |
fun pairself f (x, y) = (f x, f y); |
233 | 295 |
|
296 |
||
21395
f34ac19659ae
moved some fundamental concepts to General/basics.ML;
wenzelm
parents:
21335
diff
changeset
|
297 |
(* booleans *) |
233 | 298 |
|
21395
f34ac19659ae
moved some fundamental concepts to General/basics.ML;
wenzelm
parents:
21335
diff
changeset
|
299 |
(*polymorphic equality*) |
233 | 300 |
fun equal x y = x = y; |
301 |
fun not_equal x y = x <> y; |
|
302 |
||
21395
f34ac19659ae
moved some fundamental concepts to General/basics.ML;
wenzelm
parents:
21335
diff
changeset
|
303 |
(*combining predicates*) |
16721 | 304 |
fun p orf q = fn x => p x orelse q x; |
305 |
fun p andf q = fn x => p x andalso q x; |
|
233 | 306 |
|
25752 | 307 |
val exists = List.exists; |
308 |
val forall = List.all; |
|
0 | 309 |
|
19644
0b01436e1843
added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents:
19596
diff
changeset
|
310 |
|
380 | 311 |
(* flags *) |
312 |
||
32966
5b21661fe618
indicate CRITICAL nature of various setmp combinators;
wenzelm
parents:
32737
diff
changeset
|
313 |
fun setmp_CRITICAL flag value f x = |
39616
8052101883c3
renamed setmp_noncritical to Unsynchronized.setmp to emphasize its meaning;
wenzelm
parents:
37851
diff
changeset
|
314 |
NAMED_CRITICAL "setmp" (fn () => Unsynchronized.setmp flag value f x); |
23932 | 315 |
|
25797 | 316 |
fun setmp_thread_data tag orig_data data f x = |
26079 | 317 |
uninterruptible (fn restore_attributes => fn () => |
318 |
let |
|
28122 | 319 |
val _ = Thread.setLocal (tag, data); |
26079 | 320 |
val result = Exn.capture (restore_attributes f) x; |
28122 | 321 |
val _ = Thread.setLocal (tag, orig_data); |
26079 | 322 |
in Exn.release result end) (); |
25797 | 323 |
|
19644
0b01436e1843
added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents:
19596
diff
changeset
|
324 |
|
21395
f34ac19659ae
moved some fundamental concepts to General/basics.ML;
wenzelm
parents:
21335
diff
changeset
|
325 |
|
233 | 326 |
(** lists **) |
327 |
||
5285 | 328 |
fun single x = [x]; |
233 | 329 |
|
20882 | 330 |
fun the_single [x] = x |
331 |
| the_single _ = raise Empty; |
|
332 |
||
333 |
fun singleton f x = the_single (f [x]); |
|
19273 | 334 |
|
25061 | 335 |
fun yield_singleton f x = f [x] #>> the_single; |
336 |
||
5904 | 337 |
fun apply [] x = x |
338 |
| apply (f :: fs) x = apply fs (f x); |
|
339 |
||
25058 | 340 |
fun perhaps_apply funs arg = |
341 |
let |
|
342 |
fun app [] res = res |
|
343 |
| app (f :: fs) (changed, x) = |
|
344 |
(case f x of |
|
345 |
NONE => app fs (changed, x) |
|
346 |
| SOME x' => app fs (true, x')); |
|
347 |
in (case app funs (false, arg) of (false, _) => NONE | (true, arg') => SOME arg') end; |
|
348 |
||
349 |
fun perhaps_loop f arg = |
|
350 |
let |
|
351 |
fun loop (changed, x) = |
|
352 |
(case f x of |
|
353 |
NONE => (changed, x) |
|
354 |
| SOME x' => loop (true, x')); |
|
355 |
in (case loop (false, arg) of (false, _) => NONE | (true, arg') => SOME arg') end; |
|
356 |
||
233 | 357 |
|
21395
f34ac19659ae
moved some fundamental concepts to General/basics.ML;
wenzelm
parents:
21335
diff
changeset
|
358 |
(* fold -- old versions *) |
16691
539b9cc282fa
added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents:
16688
diff
changeset
|
359 |
|
233 | 360 |
(*the following versions of fold are designed to fit nicely with infixes*) |
0 | 361 |
|
233 | 362 |
(* (op @) (e, [x1, ..., xn]) ===> ((e @ x1) @ x2) ... @ xn |
363 |
for operators that associate to the left (TAIL RECURSIVE)*) |
|
364 |
fun foldl (f: 'a * 'b -> 'a) : 'a * 'b list -> 'a = |
|
365 |
let fun itl (e, []) = e |
|
366 |
| itl (e, a::l) = itl (f(e, a), l) |
|
367 |
in itl end; |
|
368 |
||
369 |
(* (op @) ([x1, ..., xn], e) ===> x1 @ (x2 ... @ (xn @ e)) |
|
370 |
for operators that associate to the right (not tail recursive)*) |
|
371 |
fun foldr f (l, e) = |
|
372 |
let fun itr [] = e |
|
373 |
| itr (a::l) = f(a, itr l) |
|
374 |
in itr l end; |
|
375 |
||
25681 | 376 |
(* (op @) [x1, ..., xn] ===> ((x1 @ x2) @ x3) ... @ xn |
377 |
for operators that associate to the left (TAIL RECURSIVE)*) |
|
378 |
fun foldl1 f [] = raise Empty |
|
379 |
| foldl1 f (x :: xs) = foldl f (x, xs); |
|
380 |
||
233 | 381 |
(* (op @) [x1, ..., xn] ===> x1 @ (x2 ... @ (x[n-1] @ xn)) |
382 |
for n > 0, operators that associate to the right (not tail recursive)*) |
|
20443 | 383 |
fun foldr1 f [] = raise Empty |
20510 | 384 |
| foldr1 f l = |
20443 | 385 |
let fun itr [x] = x |
20510 | 386 |
| itr (x::l) = f(x, itr l) |
20443 | 387 |
in itr l end; |
233 | 388 |
|
16705 | 389 |
fun foldl_map f = |
390 |
let |
|
391 |
fun fold_aux (x, []) = (x, []) |
|
392 |
| fold_aux (x, y :: ys) = |
|
393 |
let |
|
394 |
val (x', y') = f (x, y); |
|
395 |
val (x'', ys') = fold_aux (x', ys); |
|
396 |
in (x'', y' :: ys') end; |
|
397 |
in fold_aux end; |
|
398 |
||
233 | 399 |
|
400 |
(* basic list functions *) |
|
401 |
||
20510 | 402 |
fun eq_list eq (list1, list2) = |
42403
38b29c9fc742
slightly more special eq_list/eq_set, with shortcut involving pointer_eq;
wenzelm
parents:
41516
diff
changeset
|
403 |
pointer_eq (list1, list2) orelse |
38b29c9fc742
slightly more special eq_list/eq_set, with shortcut involving pointer_eq;
wenzelm
parents:
41516
diff
changeset
|
404 |
let |
38b29c9fc742
slightly more special eq_list/eq_set, with shortcut involving pointer_eq;
wenzelm
parents:
41516
diff
changeset
|
405 |
fun eq_lst (x :: xs, y :: ys) = eq (x, y) andalso eq_lst (xs, ys) |
38b29c9fc742
slightly more special eq_list/eq_set, with shortcut involving pointer_eq;
wenzelm
parents:
41516
diff
changeset
|
406 |
| eq_lst _ = true; |
38b29c9fc742
slightly more special eq_list/eq_set, with shortcut involving pointer_eq;
wenzelm
parents:
41516
diff
changeset
|
407 |
in length list1 = length list2 andalso eq_lst (list1, list2) end; |
20348 | 408 |
|
19483
55ee839198bd
renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents:
19474
diff
changeset
|
409 |
fun maps f [] = [] |
55ee839198bd
renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents:
19474
diff
changeset
|
410 |
| maps f (x :: xs) = f x @ maps f xs; |
55ee839198bd
renamed mapfilter to map_filter, made pervasive (again);
wenzelm
parents:
19474
diff
changeset
|
411 |
|
25538 | 412 |
val filter = List.filter; |
413 |
fun filter_out f = filter (not o f); |
|
414 |
val map_filter = List.mapPartial; |
|
415 |
||
33955 | 416 |
fun take (0: int) xs = [] |
417 |
| take _ [] = [] |
|
34059 | 418 |
| take n (x :: xs) = x :: take (n - 1) xs; |
33955 | 419 |
|
420 |
fun drop (0: int) xs = xs |
|
421 |
| drop _ [] = [] |
|
34059 | 422 |
| drop n (x :: xs) = drop (n - 1) xs; |
33955 | 423 |
|
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
424 |
fun chop (0: int) xs = ([], xs) |
23220 | 425 |
| chop _ [] = ([], []) |
426 |
| chop n (x :: xs) = chop (n - 1) xs |>> cons x; |
|
19011 | 427 |
|
39811 | 428 |
fun chop_while P [] = ([], []) |
429 |
| chop_while P (ys as x :: xs) = |
|
430 |
if P x then chop_while P xs |>> cons x else ([], ys); |
|
4713 | 431 |
|
233 | 432 |
(*return nth element of a list, where 0 designates the first element; |
18461 | 433 |
raise Subscript if list too short*) |
18011
685d95c793ff
cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents:
17952
diff
changeset
|
434 |
fun nth xs i = List.nth (xs, i); |
233 | 435 |
|
43278 | 436 |
fun nth_list xss i = nth xss i handle General.Subscript => []; |
18461 | 437 |
|
18011
685d95c793ff
cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents:
17952
diff
changeset
|
438 |
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
|
439 |
| nth_map n f (x :: xs) = x :: nth_map (n - 1) f xs |
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
440 |
| nth_map (_: int) _ [] = raise Subscript; |
11773 | 441 |
|
24846 | 442 |
fun nth_drop n xs = |
443 |
List.take (xs, n) @ List.drop (xs, n + 1); |
|
444 |
||
18514 | 445 |
fun map_index f = |
446 |
let |
|
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
447 |
fun mapp (_: int) [] = [] |
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
448 |
| mapp i (x :: xs) = f (i, x) :: mapp (i + 1) xs |
18514 | 449 |
in mapp 0 end; |
450 |
||
21118 | 451 |
fun fold_index f = |
452 |
let |
|
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
453 |
fun fold_aux (_: int) [] y = y |
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
454 |
| fold_aux i (x :: xs) y = fold_aux (i + 1) xs (f (i, x) y); |
21118 | 455 |
in fold_aux 0 end; |
456 |
||
33063 | 457 |
fun map_range f i = |
458 |
let |
|
33073 | 459 |
fun mapp (k: int) = |
33063 | 460 |
if k < i then f k :: mapp (k + 1) else []; |
461 |
in mapp 0 end; |
|
462 |
||
3762 | 463 |
(*rear decomposition*) |
15570 | 464 |
fun split_last [] = raise Empty |
3762 | 465 |
| split_last [x] = ([], x) |
466 |
| split_last (x :: xs) = apfst (cons x) (split_last xs); |
|
467 |
||
29209 | 468 |
(*find position of first element satisfying a predicate*) |
4212 | 469 |
fun find_index pred = |
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
470 |
let fun find (_: int) [] = ~1 |
4212 | 471 |
| find n (x :: xs) = if pred x then n else find (n + 1) xs; |
472 |
in find 0 end; |
|
3762 | 473 |
|
4212 | 474 |
(*find first element satisfying predicate*) |
22593 | 475 |
val find_first = List.find; |
233 | 476 |
|
4916
fe8b0c82691b
get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents:
4893
diff
changeset
|
477 |
(*get first element by lookup function*) |
15531 | 478 |
fun get_first _ [] = NONE |
4916
fe8b0c82691b
get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents:
4893
diff
changeset
|
479 |
| get_first f (x :: xs) = |
fe8b0c82691b
get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents:
4893
diff
changeset
|
480 |
(case f x of |
15531 | 481 |
NONE => get_first f xs |
4916
fe8b0c82691b
get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents:
4893
diff
changeset
|
482 |
| some => some); |
fe8b0c82691b
get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents:
4893
diff
changeset
|
483 |
|
19233
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
19119
diff
changeset
|
484 |
fun get_index f = |
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
19119
diff
changeset
|
485 |
let |
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
486 |
fun get (_: int) [] = NONE |
19461 | 487 |
| get i (x :: xs) = |
19233
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
19119
diff
changeset
|
488 |
case f x |
19461 | 489 |
of NONE => get (i + 1) xs |
19233
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
19119
diff
changeset
|
490 |
| SOME y => SOME (i, y) |
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
19119
diff
changeset
|
491 |
in get 0 end; |
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
19119
diff
changeset
|
492 |
|
15531 | 493 |
val flat = List.concat; |
233 | 494 |
|
12136 | 495 |
fun unflat (xs :: xss) ys = |
19424 | 496 |
let val (ps, qs) = chop (length xs) ys |
13629 | 497 |
in ps :: unflat xss qs end |
12136 | 498 |
| unflat [] [] = [] |
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
499 |
| unflat _ _ = raise ListPair.UnequalLengths; |
12136 | 500 |
|
21479
63e7eb863ae6
moved string_of_pair/list/option to structure ML_Syntax;
wenzelm
parents:
21395
diff
changeset
|
501 |
fun burrow f xss = unflat xss (f (flat xss)); |
18359 | 502 |
|
24864 | 503 |
fun burrow_options f os = map (try hd) (burrow f (map the_list os)); |
504 |
||
18549
5308a6ea3b96
rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents:
18514
diff
changeset
|
505 |
fun fold_burrow f xss s = |
5308a6ea3b96
rearranged burrow_split to fold_burrow to allow composition with fold_map
haftmann
parents:
18514
diff
changeset
|
506 |
apfst (unflat xss) (f (flat xss) s); |
18359 | 507 |
|
233 | 508 |
(*separate s [x1, x2, ..., xn] ===> [x1, s, x2, s, ..., s, xn]*) |
509 |
fun separate s (x :: (xs as _ :: _)) = x :: s :: separate s xs |
|
510 |
| separate _ xs = xs; |
|
511 |
||
25980 | 512 |
fun surround s (x :: xs) = s :: x :: surround s xs |
513 |
| surround s [] = [s]; |
|
514 |
||
233 | 515 |
(*make the list [x, x, ..., x] of length n*) |
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
516 |
fun replicate (n: int) x = |
233 | 517 |
let fun rep (0, xs) = xs |
518 |
| rep (n, xs) = rep (n - 1, x :: xs) |
|
519 |
in |
|
15570 | 520 |
if n < 0 then raise Subscript |
233 | 521 |
else rep (n, []) |
522 |
end; |
|
523 |
||
4248
5e8a31c41d44
added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents:
4224
diff
changeset
|
524 |
|
25549 | 525 |
(* direct product *) |
526 |
||
25538 | 527 |
fun map_product f _ [] = [] |
528 |
| map_product f [] _ = [] |
|
529 |
| map_product f (x :: xs) ys = map (f x) ys @ map_product f xs ys; |
|
233 | 530 |
|
25538 | 531 |
fun fold_product f _ [] z = z |
532 |
| fold_product f [] _ z = z |
|
533 |
| fold_product f (x :: xs) ys z = z |> fold (f x) ys |> fold_product f xs ys; |
|
233 | 534 |
|
25549 | 535 |
|
536 |
(* lists of pairs *) |
|
233 | 537 |
|
18330 | 538 |
fun map2 _ [] [] = [] |
539 |
| map2 f (x :: xs) (y :: ys) = f x y :: map2 f xs ys |
|
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
540 |
| map2 _ _ _ = raise ListPair.UnequalLengths; |
380 | 541 |
|
23220 | 542 |
fun fold2 f [] [] z = z |
543 |
| fold2 f (x :: xs) (y :: ys) z = fold2 f xs ys (f x y z) |
|
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
544 |
| fold2 f _ _ _ = raise ListPair.UnequalLengths; |
380 | 545 |
|
40721 | 546 |
fun fold_rev2 f [] [] z = z |
547 |
| fold_rev2 f (x :: xs) (y :: ys) z = f x y (fold_rev2 f xs ys z) |
|
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
548 |
| fold_rev2 f _ _ _ = raise ListPair.UnequalLengths; |
40721 | 549 |
|
40564 | 550 |
fun forall2 P [] [] = true |
551 |
| forall2 P (x :: xs) (y :: ys) = P x y andalso forall2 P xs ys |
|
40733 | 552 |
| forall2 P _ _ = raise ListPair.UnequalLengths; |
40564 | 553 |
|
25943 | 554 |
fun map_split f [] = ([], []) |
555 |
| map_split f (x :: xs) = |
|
556 |
let |
|
557 |
val (y, w) = f x; |
|
558 |
val (ys, ws) = map_split f xs; |
|
559 |
in (y :: ys, w :: ws) end; |
|
560 |
||
19799 | 561 |
fun zip_options (x :: xs) (SOME y :: ys) = (x, y) :: zip_options xs ys |
562 |
| zip_options (_ :: xs) (NONE :: ys) = zip_options xs ys |
|
563 |
| zip_options _ [] = [] |
|
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
564 |
| zip_options [] _ = raise ListPair.UnequalLengths; |
4956
a7538e43896e
added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents:
4945
diff
changeset
|
565 |
|
233 | 566 |
(*combine two lists forming a list of pairs: |
567 |
[x1, ..., xn] ~~ [y1, ..., yn] ===> [(x1, y1), ..., (xn, yn)]*) |
|
568 |
fun [] ~~ [] = [] |
|
569 |
| (x :: xs) ~~ (y :: ys) = (x, y) :: (xs ~~ ys) |
|
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
570 |
| _ ~~ _ = raise ListPair.UnequalLengths; |
233 | 571 |
|
572 |
(*inverse of ~~; the old 'split': |
|
573 |
[(x1, y1), ..., (xn, yn)] ===> ([x1, ..., xn], [y1, ..., yn])*) |
|
15570 | 574 |
val split_list = ListPair.unzip; |
233 | 575 |
|
28347 | 576 |
fun burrow_fst f xs = split_list xs |>> f |> op ~~; |
577 |
||
233 | 578 |
|
579 |
(* prefixes, suffixes *) |
|
580 |
||
18441 | 581 |
fun is_prefix _ [] _ = true |
582 |
| is_prefix eq (x :: xs) (y :: ys) = eq (x, y) andalso is_prefix eq xs ys |
|
583 |
| is_prefix eq _ _ = false; |
|
233 | 584 |
|
585 |
(* [x1, ..., xi, ..., xn] ---> ([x1, ..., x(i-1)], [xi, ..., xn]) |
|
586 |
where xi is the first element that does not satisfy the predicate*) |
|
587 |
fun take_prefix (pred : 'a -> bool) (xs: 'a list) : 'a list * 'a list = |
|
588 |
let fun take (rxs, []) = (rev rxs, []) |
|
255
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
589 |
| take (rxs, x :: xs) = |
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
590 |
if pred x then take(x :: rxs, xs) else (rev rxs, x :: xs) |
233 | 591 |
in take([], xs) end; |
592 |
||
20108 | 593 |
fun chop_prefix eq ([], ys) = ([], ([], ys)) |
594 |
| chop_prefix eq (xs, []) = ([], (xs, [])) |
|
23220 | 595 |
| chop_prefix eq (xs as x :: xs', ys as y :: ys') = |
20108 | 596 |
if eq (x, y) then |
597 |
let val (ps', xys'') = chop_prefix eq (xs', ys') |
|
23220 | 598 |
in (x :: ps', xys'') end |
20108 | 599 |
else ([], (xs, ys)); |
600 |
||
233 | 601 |
(* [x1, ..., xi, ..., xn] ---> ([x1, ..., xi], [x(i+1), ..., xn]) |
602 |
where xi is the last element that does not satisfy the predicate*) |
|
603 |
fun take_suffix _ [] = ([], []) |
|
604 |
| take_suffix pred (x :: xs) = |
|
605 |
(case take_suffix pred xs of |
|
606 |
([], sffx) => if pred x then ([], x :: sffx) else ([x], sffx) |
|
607 |
| (prfx, sffx) => (x :: prfx, sffx)); |
|
608 |
||
12249 | 609 |
fun prefixes1 [] = [] |
610 |
| prefixes1 (x :: xs) = map (cons x) ([] :: prefixes1 xs); |
|
611 |
||
19011 | 612 |
fun prefixes xs = [] :: prefixes1 xs; |
613 |
||
12249 | 614 |
fun suffixes1 xs = map rev (prefixes1 (rev xs)); |
19011 | 615 |
fun suffixes xs = [] :: suffixes1 xs; |
233 | 616 |
|
23220 | 617 |
|
618 |
||
233 | 619 |
(** integers **) |
620 |
||
621 |
(* lists of integers *) |
|
622 |
||
623 |
(*make the list [from, from + 1, ..., to]*) |
|
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
624 |
fun ((i: int) upto j) = |
21859 | 625 |
if i > j then [] else i :: (i + 1 upto j); |
233 | 626 |
|
627 |
(*make the list [from, from - 1, ..., to]*) |
|
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
628 |
fun ((i: int) downto j) = |
21859 | 629 |
if i < j then [] else i :: (i - 1 downto j); |
233 | 630 |
|
631 |
||
632 |
(* convert integers to strings *) |
|
633 |
||
634 |
(*expand the number in the given base; |
|
635 |
example: radixpand (2, 8) gives [1, 0, 0, 0]*) |
|
636 |
fun radixpand (base, num) : int list = |
|
637 |
let |
|
638 |
fun radix (n, tail) = |
|
639 |
if n < base then n :: tail |
|
640 |
else radix (n div base, (n mod base) :: tail) |
|
641 |
in radix (num, []) end; |
|
642 |
||
643 |
(*expands a number into a string of characters starting from "zerochar"; |
|
644 |
example: radixstring (2, "0", 8) gives "1000"*) |
|
645 |
fun radixstring (base, zerochar, num) = |
|
646 |
let val offset = ord zerochar; |
|
647 |
fun chrof n = chr (offset + n) |
|
648 |
in implode (map chrof (radixpand (base, num))) end; |
|
649 |
||
650 |
||
41492
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
651 |
local |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
652 |
val zero = ord "0"; |
41494 | 653 |
val small = 10000: int; |
41492
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
654 |
val small_table = Vector.tabulate (small, Int.toString); |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
655 |
in |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
656 |
|
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
657 |
fun string_of_int i = |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
658 |
if i < 0 then Int.toString i |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
659 |
else if i < 10 then chr (zero + i) |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
660 |
else if i < small then Vector.sub (small_table, i) |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
661 |
else Int.toString i; |
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
662 |
|
7a4138cb46db
tuned string_of_int to avoid allocation for small integers;
wenzelm
parents:
41489
diff
changeset
|
663 |
end; |
233 | 664 |
|
21942
d6218d0f9ec3
added signed_string_of_int (pruduces proper - instead of SML's ~);
wenzelm
parents:
21920
diff
changeset
|
665 |
fun signed_string_of_int i = |
d6218d0f9ec3
added signed_string_of_int (pruduces proper - instead of SML's ~);
wenzelm
parents:
21920
diff
changeset
|
666 |
if i < 0 then "-" ^ string_of_int (~ i) else string_of_int i; |
d6218d0f9ec3
added signed_string_of_int (pruduces proper - instead of SML's ~);
wenzelm
parents:
21920
diff
changeset
|
667 |
|
23220 | 668 |
fun string_of_indexname (a, 0) = a |
669 |
| string_of_indexname (a, i) = a ^ "_" ^ string_of_int i; |
|
233 | 670 |
|
671 |
||
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
|
672 |
(* 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
|
673 |
|
24630
351a308ab58d
simplified type int (eliminated IntInf.int, integer);
wenzelm
parents:
24593
diff
changeset
|
674 |
fun read_radix_int radix cs = |
20095 | 675 |
let |
676 |
val zero = ord "0"; |
|
677 |
val limit = zero + radix; |
|
678 |
fun scan (num, []) = (num, []) |
|
679 |
| scan (num, c :: cs) = |
|
680 |
if zero <= ord c andalso ord c < limit then |
|
24630
351a308ab58d
simplified type int (eliminated IntInf.int, integer);
wenzelm
parents:
24593
diff
changeset
|
681 |
scan (radix * num + (ord c - zero), cs) |
20095 | 682 |
else (num, c :: cs); |
24630
351a308ab58d
simplified type int (eliminated IntInf.int, integer);
wenzelm
parents:
24593
diff
changeset
|
683 |
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
|
684 |
|
24630
351a308ab58d
simplified type int (eliminated IntInf.int, integer);
wenzelm
parents:
24593
diff
changeset
|
685 |
val read_int = read_radix_int 10; |
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
|
686 |
|
40627
becf5d5187cc
renamed raw "explode" function to "raw_explode" to emphasize its meaning;
wenzelm
parents:
40564
diff
changeset
|
687 |
fun oct_char s = chr (#1 (read_radix_int 8 (raw_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
|
688 |
|
48cfe0fe53e2
output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents:
14797
diff
changeset
|
689 |
|
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
|
690 |
|
233 | 691 |
(** strings **) |
692 |
||
16188 | 693 |
(* functions tuned for strings, avoiding explode *) |
6312 | 694 |
|
18011
685d95c793ff
cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents:
17952
diff
changeset
|
695 |
fun nth_string str i = |
6959 | 696 |
(case try String.substring (str, i, 1) of |
15531 | 697 |
SOME s => s |
15570 | 698 |
| NONE => raise Subscript); |
6312 | 699 |
|
16188 | 700 |
fun fold_string f str x0 = |
6282 | 701 |
let |
702 |
val n = size str; |
|
16188 | 703 |
fun iter (x, i) = |
704 |
if i < n then iter (f (String.substring (str, i, 1)) x, i + 1) else x; |
|
705 |
in iter (x0, 0) end; |
|
6282 | 706 |
|
14968 | 707 |
fun exists_string pred str = |
708 |
let |
|
709 |
val n = size str; |
|
710 |
fun ex i = i < n andalso (pred (String.substring (str, i, 1)) orelse ex (i + 1)); |
|
711 |
in ex 0 end; |
|
6312 | 712 |
|
16188 | 713 |
fun forall_string pred = not o exists_string (not o pred); |
714 |
||
28025 | 715 |
fun first_field sep str = |
28022 | 716 |
let |
28025 | 717 |
val n = size sep; |
28022 | 718 |
val len = size str; |
719 |
fun find i = |
|
720 |
if i + n > len then NONE |
|
28025 | 721 |
else if String.substring (str, i, n) = sep then SOME i |
28022 | 722 |
else find (i + 1); |
28025 | 723 |
in |
724 |
(case find 0 of |
|
725 |
NONE => NONE |
|
726 |
| SOME i => SOME (String.substring (str, 0, i), String.extract (str, i + n, NONE))) |
|
727 |
end; |
|
28022 | 728 |
|
512
55755ed9fab9
Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents:
410
diff
changeset
|
729 |
(*enclose in brackets*) |
55755ed9fab9
Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents:
410
diff
changeset
|
730 |
fun enclose lpar rpar str = lpar ^ str ^ rpar; |
6642 | 731 |
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
|
732 |
|
233 | 733 |
(*simple quoting (does not escape special chars)*) |
512
55755ed9fab9
Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents:
410
diff
changeset
|
734 |
val quote = enclose "\"" "\""; |
233 | 735 |
|
736 |
fun space_implode a bs = implode (separate a bs); |
|
737 |
||
255
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
738 |
val commas = space_implode ", "; |
380 | 739 |
val commas_quote = commas o map quote; |
255
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
740 |
|
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
741 |
val cat_lines = space_implode "\n"; |
233 | 742 |
|
4212 | 743 |
(*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
|
744 |
fun space_explode _ "" = [] |
21899 | 745 |
| space_explode sep s = String.fields (fn c => str c = sep) s; |
3832
17a20a2af8f5
fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents:
3762
diff
changeset
|
746 |
|
17a20a2af8f5
fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents:
3762
diff
changeset
|
747 |
val split_lines = space_explode "\n"; |
17a20a2af8f5
fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents:
3762
diff
changeset
|
748 |
|
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
|
749 |
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
|
750 |
| 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
|
751 |
|
18681
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
752 |
fun prefix prfx s = prfx ^ s; |
16188 | 753 |
fun suffix sffx s = s ^ sffx; |
5285 | 754 |
|
18681
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
755 |
fun unprefix prfx s = |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
756 |
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
|
757 |
else raise Fail "unprefix"; |
3020496cff28
added exception ERROR, error, cat_error, sys_error, assert, deny, assert_all;
wenzelm
parents:
18549
diff
changeset
|
758 |
|
16188 | 759 |
fun unsuffix sffx s = |
17061 | 760 |
if String.isSuffix sffx s then String.substring (s, 0, size s - size sffx) |
761 |
else raise Fail "unsuffix"; |
|
5285 | 762 |
|
24593
1547ea587f5a
added some int constraints (ML_Parse.fix_ints not active here);
wenzelm
parents:
24148
diff
changeset
|
763 |
fun replicate_string (0: int) _ = "" |
10951 | 764 |
| replicate_string 1 a = a |
765 |
| replicate_string k a = |
|
766 |
if k mod 2 = 0 then replicate_string (k div 2) (a ^ a) |
|
767 |
else replicate_string (k div 2) (a ^ a) ^ a; |
|
768 |
||
31250 | 769 |
fun translate_string f = String.translate (f o String.str); |
770 |
||
29882
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
771 |
(*crude matching of str against simple glob pat*) |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
772 |
fun match_string pat str = |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
773 |
let |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
774 |
fun match [] _ = true |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
775 |
| match (p :: ps) s = |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
776 |
size p <= size s andalso |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
777 |
(case try (unprefix p) s of |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
778 |
SOME s' => match ps s' |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
779 |
| NONE => match (p :: ps) (String.substring (s, 1, size s - 1))); |
29154e67731d
New command find_consts searching for constants by type (by Timothy Bourke).
kleing
parents:
29209
diff
changeset
|
780 |
in match (space_explode "*" pat) str end; |
23220 | 781 |
|
35976 | 782 |
|
41516
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
783 |
(** reals **) |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
784 |
|
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
785 |
val string_of_real = Real.fmt (StringCvt.GEN NONE); |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
786 |
|
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
787 |
fun signed_string_of_real x = |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
788 |
if x < 0.0 then "-" ^ string_of_real (~ x) else string_of_real x; |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
789 |
|
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
790 |
fun smart_string_of_real x = |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
791 |
let |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
792 |
val s = signed_string_of_real x; |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
793 |
in |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
794 |
(case space_explode "." s of |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
795 |
[a, b] => if forall_string (fn c => c = "0") b then a else s |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
796 |
| _ => s) |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
797 |
end; |
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
798 |
|
3a70387b5e01
smart_string_of_real: print integer values without fractional part;
wenzelm
parents:
41494
diff
changeset
|
799 |
|
35976 | 800 |
|
16492 | 801 |
(** lists as sets -- see also Pure/General/ord_list.ML **) |
233 | 802 |
|
26439 | 803 |
(* canonical operations *) |
804 |
||
18923 | 805 |
fun member eq list x = |
806 |
let |
|
807 |
fun memb [] = false |
|
808 |
| memb (y :: ys) = eq (x, y) orelse memb ys; |
|
809 |
in memb list end; |
|
1576
af8f43f742a0
Added some optimized versions of functions dealing with sets
berghofe
parents:
1460
diff
changeset
|
810 |
|
18923 | 811 |
fun insert eq x xs = if member eq xs x then xs else x :: xs; |
812 |
fun remove eq x xs = if member eq xs x then filter_out (fn y => eq (x, y)) xs else xs; |
|
24049 | 813 |
fun update eq x xs = cons x (remove eq x xs); |
233 | 814 |
|
33049
c38f02fdf35d
curried inter as canonical list operation (beware of argument order)
haftmann
parents:
33040
diff
changeset
|
815 |
fun inter eq xs = filter (member eq xs); |
c38f02fdf35d
curried inter as canonical list operation (beware of argument order)
haftmann
parents:
33040
diff
changeset
|
816 |
|
33042 | 817 |
fun union eq = fold (insert eq); |
19301 | 818 |
fun subtract eq = fold (remove eq); |
819 |
||
30572
8fbc355100f2
Library.merge/OrdList.union: optimize the important special case where the tables coincide -- NOTE: this changes both the operational behaviour and the result for non-standard eq/ord notion;
wenzelm
parents:
30570
diff
changeset
|
820 |
fun merge eq (xs, ys) = |
8fbc355100f2
Library.merge/OrdList.union: optimize the important special case where the tables coincide -- NOTE: this changes both the operational behaviour and the result for non-standard eq/ord notion;
wenzelm
parents:
30570
diff
changeset
|
821 |
if pointer_eq (xs, ys) then xs |
8fbc355100f2
Library.merge/OrdList.union: optimize the important special case where the tables coincide -- NOTE: this changes both the operational behaviour and the result for non-standard eq/ord notion;
wenzelm
parents:
30570
diff
changeset
|
822 |
else if null xs then ys |
8fbc355100f2
Library.merge/OrdList.union: optimize the important special case where the tables coincide -- NOTE: this changes both the operational behaviour and the result for non-standard eq/ord notion;
wenzelm
parents:
30570
diff
changeset
|
823 |
else fold_rev (insert eq) ys xs; |
0 | 824 |
|
26439 | 825 |
|
33050 | 826 |
(* subset and set equality *) |
827 |
||
33038 | 828 |
fun subset eq (xs, ys) = forall (member eq ys) xs; |
1576
af8f43f742a0
Added some optimized versions of functions dealing with sets
berghofe
parents:
1460
diff
changeset
|
829 |
|
33038 | 830 |
fun eq_set eq (xs, ys) = |
20348 | 831 |
eq_list eq (xs, ys) orelse |
33038 | 832 |
(subset eq (xs, ys) andalso subset (eq o swap) (ys, xs)); |
19301 | 833 |
|
265 | 834 |
|
233 | 835 |
(*makes a list of the distinct members of the input; preserves order, takes |
836 |
first of equal elements*) |
|
19046
bc5c6c9b114e
removed distinct, renamed gen_distinct to distinct;
wenzelm
parents:
19011
diff
changeset
|
837 |
fun distinct eq lst = |
233 | 838 |
let |
839 |
fun dist (rev_seen, []) = rev rev_seen |
|
840 |
| dist (rev_seen, x :: xs) = |
|
18923 | 841 |
if member eq rev_seen x then dist (rev_seen, xs) |
233 | 842 |
else dist (x :: rev_seen, xs); |
19046
bc5c6c9b114e
removed distinct, renamed gen_distinct to distinct;
wenzelm
parents:
19011
diff
changeset
|
843 |
in dist ([], lst) end; |
233 | 844 |
|
255
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
845 |
(*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
|
846 |
order, takes first of equal elements*) |
18966 | 847 |
fun duplicates eq lst = |
255
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
848 |
let |
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
849 |
fun dups (rev_dups, []) = rev rev_dups |
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
850 |
| dups (rev_dups, x :: xs) = |
18923 | 851 |
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
|
852 |
dups (rev_dups, xs) |
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
853 |
else dups (x :: rev_dups, xs); |
18966 | 854 |
in dups ([], lst) end; |
255
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
855 |
|
16878 | 856 |
fun has_duplicates eq = |
857 |
let |
|
858 |
fun dups [] = false |
|
859 |
| dups (x :: xs) = member eq xs x orelse dups xs; |
|
860 |
in dups end; |
|
861 |
||
255
ee132db91681
added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents:
245
diff
changeset
|
862 |
|
32352 | 863 |
(* matrices *) |
864 |
||
865 |
fun map_transpose f xss = |
|
866 |
let |
|
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
867 |
val n = |
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
868 |
(case distinct (op =) (map length xss) of |
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
869 |
[] => 0 |
32352 | 870 |
| [n] => n |
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
871 |
| _ => raise ListPair.UnequalLengths); |
33206 | 872 |
in map_range (fn m => f (map (fn xs => nth xs m) xss)) n end; |
32352 | 873 |
|
874 |
||
23220 | 875 |
|
22142 | 876 |
(** lists as multisets **) |
877 |
||
33078
3aea60ca3900
multiset operations with canonical argument order
haftmann
parents:
33063
diff
changeset
|
878 |
fun remove1 eq x [] = [] |
3aea60ca3900
multiset operations with canonical argument order
haftmann
parents:
33063
diff
changeset
|
879 |
| remove1 eq x (y :: ys) = if eq (x, y) then ys else y :: remove1 eq x ys; |
22142 | 880 |
|
33078
3aea60ca3900
multiset operations with canonical argument order
haftmann
parents:
33063
diff
changeset
|
881 |
fun combine eq xs ys = fold (remove1 eq) ys xs @ ys; |
233 | 882 |
|
33079 | 883 |
fun submultiset _ ([], _) = true |
884 |
| submultiset eq (x :: xs, ys) = member eq ys x andalso submultiset eq (xs, remove1 eq x ys); |
|
885 |
||
0 | 886 |
|
887 |
||
2506 | 888 |
(** orders **) |
889 |
||
18966 | 890 |
fun is_equal EQUAL = true |
891 |
| is_equal _ = false; |
|
892 |
||
4445 | 893 |
fun rev_order LESS = GREATER |
894 |
| rev_order EQUAL = EQUAL |
|
895 |
| rev_order GREATER = LESS; |
|
896 |
||
4479 | 897 |
(*assume rel is a linear strict order*) |
4445 | 898 |
fun make_ord rel (x, y) = |
899 |
if rel (x, y) then LESS |
|
900 |
else if rel (y, x) then GREATER |
|
901 |
else EQUAL; |
|
902 |
||
25224 | 903 |
fun bool_ord (false, true) = LESS |
904 |
| bool_ord (true, false) = GREATER |
|
905 |
| bool_ord _ = EQUAL; |
|
906 |
||
15051
0dbbab9f77fe
int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents:
15035
diff
changeset
|
907 |
val int_ord = Int.compare; |
0dbbab9f77fe
int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents:
15035
diff
changeset
|
908 |
val string_ord = String.compare; |
2506 | 909 |
|
16676 | 910 |
fun fast_string_ord (s1, s2) = |
43793 | 911 |
if pointer_eq (s1, s2) then EQUAL |
912 |
else (case int_ord (size s1, size s2) of EQUAL => string_ord (s1, s2) | ord => ord); |
|
16676 | 913 |
|
16492 | 914 |
fun option_ord ord (SOME x, SOME y) = ord (x, y) |
915 |
| option_ord _ (NONE, NONE) = EQUAL |
|
916 |
| option_ord _ (NONE, SOME _) = LESS |
|
917 |
| option_ord _ (SOME _, NONE) = GREATER; |
|
918 |
||
4343 | 919 |
(*lexicographic product*) |
920 |
fun prod_ord a_ord b_ord ((x, y), (x', y')) = |
|
921 |
(case a_ord (x, x') of EQUAL => b_ord (y, y') | ord => ord); |
|
922 |
||
923 |
(*dictionary order -- in general NOT well-founded!*) |
|
16984 | 924 |
fun dict_ord elem_ord (x :: xs, y :: ys) = |
925 |
(case elem_ord (x, y) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord) |
|
926 |
| dict_ord _ ([], []) = EQUAL |
|
4343 | 927 |
| dict_ord _ ([], _ :: _) = LESS |
16984 | 928 |
| dict_ord _ (_ :: _, []) = GREATER; |
4343 | 929 |
|
930 |
(*lexicographic product of lists*) |
|
931 |
fun list_ord elem_ord (xs, ys) = |
|
16676 | 932 |
(case int_ord (length xs, length ys) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord); |
4343 | 933 |
|
2506 | 934 |
|
4621 | 935 |
(* sorting *) |
936 |
||
18427 | 937 |
(*quicksort -- stable, i.e. does not reorder equal elements*) |
938 |
fun quicksort unique ord = |
|
4621 | 939 |
let |
16878 | 940 |
fun qsort [] = [] |
941 |
| qsort (xs as [_]) = xs |
|
18427 | 942 |
| qsort (xs as [x, y]) = |
943 |
(case ord (x, y) of |
|
944 |
LESS => xs |
|
945 |
| EQUAL => if unique then [x] else xs |
|
946 |
| GREATER => [y, x]) |
|
16878 | 947 |
| qsort xs = |
18011
685d95c793ff
cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents:
17952
diff
changeset
|
948 |
let val (lts, eqs, gts) = part (nth xs (length xs div 2)) xs |
16878 | 949 |
in qsort lts @ eqs @ qsort gts end |
4621 | 950 |
and part _ [] = ([], [], []) |
951 |
| part pivot (x :: xs) = add (ord (x, pivot)) x (part pivot xs) |
|
952 |
and add LESS x (lts, eqs, gts) = (x :: lts, eqs, gts) |
|
18427 | 953 |
| add EQUAL x (lts, [], gts) = (lts, [x], gts) |
954 |
| add EQUAL x (res as (lts, eqs, gts)) = if unique then res else (lts, x :: eqs, gts) |
|
4621 | 955 |
| add GREATER x (lts, eqs, gts) = (lts, eqs, x :: gts); |
956 |
in qsort end; |
|
957 |
||
18427 | 958 |
fun sort ord = quicksort false ord; |
959 |
fun sort_distinct ord = quicksort true ord; |
|
960 |
||
4621 | 961 |
val sort_strings = sort string_ord; |
44617 | 962 |
fun sort_wrt key xs = sort (string_ord o pairself key) xs; |
4621 | 963 |
|
964 |
||
30558
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
965 |
(* items tagged by integer index *) |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
966 |
|
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
967 |
(*insert tags*) |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
968 |
fun tag_list k [] = [] |
30570 | 969 |
| tag_list k (x :: xs) = (k:int, x) :: tag_list (k + 1) xs; |
30558
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
970 |
|
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
971 |
(*remove tags and suppress duplicates -- list is assumed sorted!*) |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
972 |
fun untag_list [] = [] |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
973 |
| untag_list [(k: int, x)] = [x] |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
974 |
| untag_list ((k, x) :: (rest as (k', x') :: _)) = |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
975 |
if k = k' then untag_list rest |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
976 |
else x :: untag_list rest; |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
977 |
|
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
978 |
(*return list elements in original order*) |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
979 |
fun order_list list = untag_list (sort (int_ord o pairself fst) list); |
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
980 |
|
2ef9892114fd
renamed Tactic.taglist/untaglist/orderlist to tag_list/untag_list/order_list (in library.ML);
wenzelm
parents:
30190
diff
changeset
|
981 |
|
2506 | 982 |
|
14106
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
983 |
(** random numbers **) |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
984 |
|
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
985 |
exception RANDOM; |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
986 |
|
14618
068bb99f3ebd
Fixed bug in rmod that caused an overflow exception in SML/NJ.
berghofe
parents:
14472
diff
changeset
|
987 |
fun rmod x y = x - y * Real.realFloor (x / y); |
14106
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
988 |
|
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
989 |
local |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
990 |
val a = 16807.0; |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
991 |
val m = 2147483647.0; |
32737
76fa673eee8b
Raw ML references as unsynchronized state variables.
wenzelm
parents:
32352
diff
changeset
|
992 |
val random_seed = Unsynchronized.ref 1.0; |
14106
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
993 |
in |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
994 |
|
23922
707639e9497d
marked some CRITICAL sections (for multithreading);
wenzelm
parents:
23860
diff
changeset
|
995 |
fun random () = CRITICAL (fn () => |
707639e9497d
marked some CRITICAL sections (for multithreading);
wenzelm
parents:
23860
diff
changeset
|
996 |
let val r = rmod (a * ! random_seed) m |
707639e9497d
marked some CRITICAL sections (for multithreading);
wenzelm
parents:
23860
diff
changeset
|
997 |
in (random_seed := r; r) end); |
14106
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
998 |
|
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
999 |
end; |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1000 |
|
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1001 |
fun random_range l h = |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1002 |
if h < l orelse l < 0 then raise RANDOM |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1003 |
else l + Real.floor (rmod (random ()) (real (h - l + 1))); |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1004 |
|
18011
685d95c793ff
cleaned up nth, nth_update, nth_map and nth_string functions
haftmann
parents:
17952
diff
changeset
|
1005 |
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
|
1006 |
|
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1007 |
fun frequency xs = |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1008 |
let |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1009 |
val sum = foldl op + (0, map fst xs); |
17756 | 1010 |
fun pick n ((k: int, x) :: xs) = |
14106
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1011 |
if n <= k then x else pick (n - k) xs |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1012 |
in pick (random_range 1 sum) xs end; |
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1013 |
|
bbf708a7e27f
Added several functions for producing random numbers.
berghofe
parents:
13794
diff
changeset
|
1014 |
|
23220 | 1015 |
|
4621 | 1016 |
(** misc **) |
233 | 1017 |
|
19644
0b01436e1843
added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents:
19596
diff
changeset
|
1018 |
fun divide_and_conquer decomp x = |
0b01436e1843
added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents:
19596
diff
changeset
|
1019 |
let val (ys, recomb) = decomp x |
0b01436e1843
added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents:
19596
diff
changeset
|
1020 |
in recomb (map (divide_and_conquer decomp) ys) end; |
0b01436e1843
added divide_and_conquer combinator (by Amine Chaieb);
wenzelm
parents:
19596
diff
changeset
|
1021 |
|
32978 | 1022 |
fun divide_and_conquer' decomp x s = |
1023 |
let val ((ys, recomb), s') = decomp x s |
|
1024 |
in recomb (fold_map (divide_and_conquer' decomp) ys s') end; |
|
1025 |
||
0 | 1026 |
|
233 | 1027 |
(*Partition a list into buckets [ bi, b(i+1), ..., bj ] |
0 | 1028 |
putting x in bk if p(k)(x) holds. Preserve order of elements if possible.*) |
1029 |
fun partition_list p i j = |
|
37851 | 1030 |
let |
1031 |
fun part (k: int) xs = |
|
1032 |
if k > j then |
|
1033 |
(case xs of |
|
1034 |
[] => [] |
|
1035 |
| _ => raise Fail "partition_list") |
|
1036 |
else |
|
1037 |
let val (ns, rest) = List.partition (p k) xs |
|
1038 |
in ns :: part (k + 1) rest end; |
|
1039 |
in part (i: int) end; |
|
0 | 1040 |
|
37851 | 1041 |
fun partition_eq (eq: 'a * 'a -> bool) = |
19691 | 1042 |
let |
1043 |
fun part [] = [] |
|
1044 |
| part (x :: ys) = |
|
1045 |
let val (xs, xs') = List.partition (fn y => eq (x, y)) ys |
|
37851 | 1046 |
in (x :: xs) :: part xs' end; |
19691 | 1047 |
in part end; |
1048 |
||
1049 |
||
0 | 1050 |
|
43559
c1966f322105
old gensym is now legacy -- global state is out of fashion, and its result is not guaranteed to be fresh;
wenzelm
parents:
43278
diff
changeset
|
1051 |
(* generating identifiers -- often fresh *) |
0 | 1052 |
|
22369 | 1053 |
local |
1054 |
(*Maps 0-61 to A-Z, a-z, 0-9; exclude _ or ' to avoid clash with internal/unusual indentifiers*) |
|
22582
f315da9400fb
removed obsolete scanwords (see obsolete tactic.ML:rename_tac for its only use);
wenzelm
parents:
22567
diff
changeset
|
1055 |
fun gensym_char i = |
22368
0e0fe77d4768
gensym no longer includes ' or _ in names (trailing _ is bad)
paulson
parents:
22256
diff
changeset
|
1056 |
if i<26 then chr (ord "A" + i) |
0e0fe77d4768
gensym no longer includes ' or _ in names (trailing _ is bad)
paulson
parents:
22256
diff
changeset
|
1057 |
else if i<52 then chr (ord "a" + i - 26) |
22369 | 1058 |
else chr (ord "0" + i - 52); |
4063 | 1059 |
|
22369 | 1060 |
val char_vec = Vector.tabulate (62, gensym_char); |
1061 |
fun newid n = implode (map (fn i => Vector.sub (char_vec, i)) (radixpand (62, n))); |
|
4284 | 1062 |
|
32737
76fa673eee8b
Raw ML references as unsynchronized state variables.
wenzelm
parents:
32352
diff
changeset
|
1063 |
val gensym_seed = Unsynchronized.ref (0: int); |
2003 | 1064 |
|
22369 | 1065 |
in |
43559
c1966f322105
old gensym is now legacy -- global state is out of fashion, and its result is not guaranteed to be fresh;
wenzelm
parents:
43278
diff
changeset
|
1066 |
fun legacy_gensym pre = |
c1966f322105
old gensym is now legacy -- global state is out of fashion, and its result is not guaranteed to be fresh;
wenzelm
parents:
43278
diff
changeset
|
1067 |
pre ^ newid (NAMED_CRITICAL "legacy_gensym" (fn () => Unsynchronized.inc gensym_seed)); |
22369 | 1068 |
end; |
4063 | 1069 |
|
1070 |
||
16439 | 1071 |
(* stamps and serial numbers *) |
1072 |
||
32737
76fa673eee8b
Raw ML references as unsynchronized state variables.
wenzelm
parents:
32352
diff
changeset
|
1073 |
type stamp = unit Unsynchronized.ref; |
76fa673eee8b
Raw ML references as unsynchronized state variables.
wenzelm
parents:
32352
diff
changeset
|
1074 |
val stamp: unit -> stamp = Unsynchronized.ref; |
16439 | 1075 |
|
1076 |
type serial = int; |
|
25702
a61554b1e7a9
serial: now based on specific version in structure Multithreading;
wenzelm
parents:
25681
diff
changeset
|
1077 |
val serial = Multithreading.serial; |
19512 | 1078 |
val serial_string = string_of_int o serial; |
1079 |
||
16535
86c9eada525b
added structure Object (from Pure/General/object.ML);
wenzelm
parents:
16492
diff
changeset
|
1080 |
|
86c9eada525b
added structure Object (from Pure/General/object.ML);
wenzelm
parents:
16492
diff
changeset
|
1081 |
(* generic objects *) |
86c9eada525b
added structure Object (from Pure/General/object.ML);
wenzelm
parents:
16492
diff
changeset
|
1082 |
|
86c9eada525b
added structure Object (from Pure/General/object.ML);
wenzelm
parents:
16492
diff
changeset
|
1083 |
(*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
|
1084 |
constructors at any time*) |
86c9eada525b
added structure Object (from Pure/General/object.ML);
wenzelm
parents:
16492
diff
changeset
|
1085 |
structure Object = struct type T = exn end; |
86c9eada525b
added structure Object (from Pure/General/object.ML);
wenzelm
parents:
16492
diff
changeset
|
1086 |
|
43603 | 1087 |
|
1088 |
(* current directory *) |
|
1089 |
||
1090 |
val cd = OS.FileSys.chDir; |
|
1091 |
val pwd = OS.FileSys.getDir; |
|
1092 |
||
1093 |
||
1094 |
(* getenv *) |
|
1095 |
||
1096 |
fun getenv x = |
|
1097 |
(case OS.Process.getEnv x of |
|
1098 |
NONE => "" |
|
1099 |
| SOME y => y); |
|
1100 |
||
1101 |
fun getenv_strict x = |
|
1102 |
(case getenv x of |
|
1103 |
"" => error ("Undefined Isabelle environment variable: " ^ quote x) |
|
1104 |
| y => y); |
|
1105 |
||
1364
8ea1a962ad72
files now define a structure to allow SML/NJ to optimize the code
clasohm
parents:
1290
diff
changeset
|
1106 |
end; |
8ea1a962ad72
files now define a structure to allow SML/NJ to optimize the code
clasohm
parents:
1290
diff
changeset
|
1107 |
|
32188 | 1108 |
structure Basic_Library: BASIC_LIBRARY = Library; |
1109 |
open Basic_Library; |
|
40722
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
1110 |
|
441260986b63
make two copies (!) of Library.UnequalLengths coincide with ListPair.UnequalLengths;
wenzelm
parents:
40721
diff
changeset
|
1111 |
datatype legacy = UnequalLengths; |