summaryrefslogtreecommitdiff
path: root/lib/ur/list.ur
blob: 3153cc32f292a812bf409069ac75f74406c4b31b (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
datatype t = datatype Basis.list

val show = fn [a] (_ : show a) =>
              let
                  fun show' (ls : list a) =
                      case ls of
                          [] => "[]"
                        | x :: ls => show x ^ " :: " ^ show' ls
              in
                  mkShow show'
              end

val eq = fn [a] (_ : eq a) =>
            let
                fun eq' (ls1 : list a) ls2 =
                    case (ls1, ls2) of
                        ([], []) => True
                      | (x1 :: ls1, x2 :: ls2) => x1 = x2 && eq' ls1 ls2
                      | _ => False
            in
                mkEq eq'
            end

fun foldl [a] [b] (f : a -> b -> b) =
    let
        fun foldl' acc ls =
            case ls of
                [] => acc
              | x :: ls => foldl' (f x acc) ls
    in
        foldl'
    end

val rev = fn [a] =>
             let
                 fun rev' acc (ls : list a) =
                     case ls of
                         [] => acc
                       | x :: ls => rev' (x :: acc) ls
             in
                 rev' []
             end

fun foldr [a] [b] f (acc : b) (ls : list a) = foldl f acc (rev ls)

fun foldlAbort [a] [b] f =
    let
        fun foldlAbort' acc ls =
            case ls of
                [] => Some acc
              | x :: ls =>
                case f x acc of
                    None => None
                  | Some acc' => foldlAbort' acc' ls
    in
        foldlAbort'
    end

val length = fn [a] =>
                let
                    fun length' acc (ls : list a) =
                        case ls of
                            [] => acc
                          | _ :: ls => length' (acc + 1) ls
                in
                    length' 0
                end

fun foldlMapAbort [a] [b] [c] f =
    let
        fun foldlMapAbort' ls' acc ls =
            case ls of
                [] => Some (rev ls', acc)
              | x :: ls =>
                case f x acc of
                    None => None
                  | Some (x', acc') => foldlMapAbort' (x' :: ls') acc' ls
    in
        foldlMapAbort' []
    end

val revAppend = fn [a] =>
                   let
                       fun ra (ls : list a) acc =
                           case ls of
                               [] => acc
                             | x :: ls => ra ls (x :: acc)
                   in
                       ra
                   end

fun append [a] (ls1 : t a) (ls2 : t a) = revAppend (rev ls1) ls2                

fun mp [a] [b] f =
    let
        fun mp' acc ls =
            case ls of
                [] => rev acc
              | x :: ls => mp' (f x :: acc) ls
    in
        mp' []
    end

fun mapi [a] [b] f =
    let
        fun mp' n acc ls =
            case ls of
                [] => rev acc
              | x :: ls => mp' (n + 1) (f n x :: acc) ls
    in
        mp' 0 []
    end

fun mapPartial [a] [b] f =
    let
        fun mp' acc ls =
            case ls of
                [] => rev acc
              | x :: ls => mp' (case f x of
                                    None => acc
                                  | Some y => y :: acc) ls
    in
        mp' []
    end

fun mapX [a] [ctx ::: {Unit}] f =
    let
        fun mapX' ls =
            case ls of
                [] => <xml/>
              | x :: ls => <xml>{f x}{mapX' ls}</xml>
    in
        mapX'
    end

fun mapM [m ::: (Type -> Type)] (_ : monad m) [a] [b] f =
    let
        fun mapM' acc ls =
            case ls of
                [] => return (rev acc)
              | x :: ls => x' <- f x; mapM' (x' :: acc) ls
    in
        mapM' []
    end

fun mapPartialM [m ::: (Type -> Type)] (_ : monad m) [a] [b] f =
    let
        fun mapPartialM' acc ls =
            case ls of
                [] => return (rev acc)
              | x :: ls =>
                v <- f x;
                mapPartialM' (case v of
                                  None => acc
                                | Some x' => x' :: acc) ls
    in
        mapPartialM' []
    end

fun mapXM [m ::: (Type -> Type)] (_ : monad m) [a] [ctx ::: {Unit}] f =
    let
        fun mapXM' ls =
            case ls of
                [] => return <xml/>
              | x :: ls =>
                this <- f x;
                rest <- mapXM' ls;
                return <xml>{this}{rest}</xml>
    in
        mapXM'
    end

fun filter [a] f =
    let
        fun fil acc ls =
            case ls of
                [] => rev acc
              | x :: ls => fil (if f x then x :: acc else acc) ls
    in
        fil []
    end

fun exists [a] f =
    let
        fun ex ls =
            case ls of
                [] => False
              | x :: ls =>
                if f x then
                    True
                else
                    ex ls
    in
        ex
    end

fun foldlMap [a] [b] [c] f =
    let
        fun fold ls' st ls =
            case ls of
                [] => (rev ls', st)
              | x :: ls =>
                case f x st of
                    (y, st) => fold (y :: ls') st ls
    in
        fold []
    end

fun search [a] [b] f =
    let
        fun search' ls =
            case ls of
                [] => None
              | x :: ls =>
                case f x of
                    None => search' ls
                  | v => v
    in
        search'
    end

fun foldlM [m] (_ : monad m) [a] [b] f =
    let
        fun foldlM' acc ls =
            case ls of
                [] => return acc
              | x :: ls =>
                acc <- f x acc;
                foldlM' acc ls
    in
        foldlM'
    end

fun all [m] f =
    let
        fun all' ls =
            case ls of
                [] => True
              | x :: ls => f x && all' ls
    in
        all'
    end

fun app [m] (_ : monad m) [a] f =
    let
        fun app' ls =
            case ls of
                [] => return ()
              | x :: ls =>
                f x;
                app' ls
    in
        app'
    end

fun mapQuery [tables ::: {{Type}}] [exps ::: {Type}] [t ::: Type]
             [tables ~ exps] (q : sql_query [] tables exps)
             (f : $(exps ++ map (fn fields :: {Type} => $fields) tables) -> t) =
    ls <- query q
                (fn fs acc => return (f fs :: acc))
                [];
    return (rev ls)

fun mapQueryM [tables ::: {{Type}}] [exps ::: {Type}] [t ::: Type]
             [tables ~ exps] (q : sql_query [] tables exps)
             (f : $(exps ++ map (fn fields :: {Type} => $fields) tables) -> transaction t) =
    ls <- query q
                (fn fs acc => v <- f fs; return (v :: acc))
                [];
    return (rev ls)

fun mapQueryPartialM [tables ::: {{Type}}] [exps ::: {Type}] [t ::: Type]
             [tables ~ exps] (q : sql_query [] tables exps)
             (f : $(exps ++ map (fn fields :: {Type} => $fields) tables) -> transaction (option t)) =
    ls <- query q
                (fn fs acc => v <- f fs;
                    return (case v of
                                None => acc
                              | Some v => v :: acc))
                [];
    return (rev ls)

fun sort [a] (gt : a -> a -> bool) (ls : t a) : t a =
    let
        fun split ls acc1 acc2 =
            case ls of
                [] => (rev acc1, rev acc2)
              | x :: [] => (rev (x :: acc1), rev acc2)
              | x1 :: x2 :: ls' => split ls' (x1 :: acc1) (x2 :: acc2)

        fun merge ls1 ls2 acc =
            case (ls1, ls2) of
                ([], _) => revAppend acc ls2
              | (_, []) => revAppend acc ls1
              | (x1 :: ls1', x2 :: ls2') => if gt x1 x2 then merge ls1 ls2' (x2 :: acc) else merge ls1' ls2 (x1 :: acc)

        fun sort' ls =
            case ls of
                [] => ls
              | _ :: [] => ls
              | _ =>
                let
                    val (ls1, ls2) = split ls [] []
                in
                    merge (sort' ls1) (sort' ls2) []
                end
    in
        sort' ls
    end

val nth [a] =
    let
        fun nth (ls : list a) (n : int) : option a =
            case ls of
                [] => None
              | x :: ls' =>
                if n <= 0 then
                    Some x
                else
                    nth ls' (n-1)
    in
        nth
    end

fun replaceNth [a] (ls : list a) (n : int) (v : a) : list a =
    let
        fun repNth (ls : list a) (n : int) (acc : list a) =
            case ls of
                [] => rev acc
              | x :: ls' => if n <= 0 then
                                revAppend acc (v :: ls')
                            else
                                repNth ls' (n-1) (x :: acc)
    in
        repNth ls n []
    end

fun assoc [a] [b] (_ : eq a) (x : a) =
    let
        fun assoc' (ls : list (a * b)) =
            case ls of
                [] => None
              | (y, z) :: ls =>
                if x = y then
                    Some z
                else
                    assoc' ls
    in
        assoc'
    end

fun assocAdd [a] [b] (_ : eq a) (x : a) (y : b) (ls : t (a * b)) =
    case assoc x ls of
        None => (x, y) :: ls
      | Some _ => ls