summaryrefslogtreecommitdiff
path: root/lib/ur/top.ur
blob: 703c7bae4d2cd4656839dc028d5a33a1bfaa91cc (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
(** Row folding *)

con folder = K ==> fn r :: {K} =>
                      tf :: ({K} -> Type)
                      -> (nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
                          tf r -> tf ([nm = v] ++ r))
                      -> tf [] -> tf r

fun fold [K] [tf :: {K} -> Type]
         (f : (nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
               tf r -> tf ([nm = v] ++ r)))
         (i : tf []) [r ::: {K}] (fl : folder r) = fl [tf] f i

structure Folder = struct
    fun nil [K] [tf :: {K} -> Type]
            (f : nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
             tf r -> tf ([nm = v] ++ r))
            (i : tf []) = i

    fun cons [K] [r ::: {K}] [nm :: Name] [v :: K] [[nm] ~ r] (fold : folder r)
             [tf :: {K} -> Type]
             (f : nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
              tf r -> tf ([nm = v] ++ r))
             (i : tf []) = f [nm] [v] [r] ! (fold [tf] f i)

    fun concat [K] [r1 ::: {K}] [r2 ::: {K}] [r1 ~ r2]
        (f1 : folder r1) (f2 : folder r2)
        [tf :: {K} -> Type]
        (f : nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
         tf r -> tf ([nm = v] ++ r))
        (i : tf []) =
        f1 [fn r1' => [r1' ~ r2] => tf (r1' ++ r2)]
           (fn [nm :: Name] [v :: K] [r1' :: {K}] [[nm] ~ r1']
                            (acc : [r1' ~ r2] => tf (r1' ++ r2))
                            [[nm = v] ++ r1' ~ r2] =>
               f [nm] [v] [r1' ++ r2] ! acc)
           (fn [[] ~ r2] => f2 [tf] f i) !

    fun mp [K1] [K2] [f ::: K1 -> K2] [r ::: {K1}]
        (fold : folder r)
        [tf :: {K2} -> Type]
        (f : nm :: Name -> v :: K2 -> r :: {K2} -> [[nm] ~ r] =>
         tf r -> tf ([nm = v] ++ r))
        (i : tf []) =
        fold [fn r => tf (map f r)]
        (fn [nm :: Name] [v :: K1] [rest :: {K1}] [[nm] ~ rest] (acc : tf (map f rest)) =>
            f [nm] [f v] [map f rest] ! acc)
        i
end


fun not b = if b then False else True

con id = K ==> fn t :: K => t
con record (t :: {Type}) = $t
con fst = K1 ==> K2 ==> fn t :: (K1 * K2) => t.1
con snd = K1 ==> K2 ==> fn t :: (K1 * K2) => t.2
con fst3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.1
con snd3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.2
con thd3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.3

con mapU = K ==> fn f :: K => map (fn _ :: Unit => f)

con ex = fn tf :: (Type -> Type) =>
            res ::: Type -> (choice :: Type -> tf choice -> res) -> res

fun ex [tf :: (Type -> Type)] [choice :: Type] (body : tf choice) : ex tf =
 fn [res] (f : choice :: Type -> tf choice -> res) =>
    f [choice] body

fun compose [t1 ::: Type] [t2 ::: Type] [t3 ::: Type]
            (f1 : t2 -> t3) (f2 : t1 -> t2) (x : t1) = f1 (f2 x)

fun show_option [t ::: Type] (_ : show t) =
    mkShow (fn opt : option t =>
               case opt of
                   None => ""
                 | Some x => show x)

fun read_option [t ::: Type] (_ : read t) =
    mkRead (fn s =>
               case s of
                   "" => None
                 | _ => Some (readError s : t))
           (fn s =>
               case s of
                   "" => Some None
                 | _ => case read s of
                            None => None
                          | v => Some v)

fun txt [t] [ctx ::: {Unit}] [use ::: {Type}] (_ : show t) (v : t) =
    cdata (show v)

fun map0 [K] [tf :: K -> Type] (f : t :: K -> tf t) [r ::: {K}] (fl : folder r) =
    fl [fn r :: {K} => $(map tf r)]
    (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] acc =>
        acc ++ {nm = f [t]})
    {}

fun mp [K] [tf1 :: K -> Type] [tf2 :: K -> Type] (f : t ::: K -> tf1 t -> tf2 t) [r ::: {K}] (fl : folder r) =
    fl [fn r :: {K} => $(map tf1 r) -> $(map tf2 r)]
    (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] acc r =>
        acc (r -- nm) ++ {nm = f r.nm})
    (fn _ => {})

fun map2 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type]
         (f : t ::: K -> tf1 t -> tf2 t -> tf3 t) [r ::: {K}] (fl : folder r) =
    fl [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r)]
    (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] acc r1 r2 =>
        acc (r1 -- nm) (r2 -- nm) ++ {nm = f r1.nm r2.nm})
    (fn _ _ => {})

fun map3 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [tf :: K -> Type]
         (f : t ::: K -> tf1 t -> tf2 t -> tf3 t -> tf t) [r ::: {K}] (fl : folder r) =
    fl [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> $(map tf r)]
    (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] acc r1 r2 r3 =>
        acc (r1 -- nm) (r2 -- nm) (r3 -- nm) ++ {nm = f r1.nm r2.nm r3.nm})
    (fn _ _ _ => {})

fun foldUR [tf :: Type] [tr :: {Unit} -> Type]
           (f : nm :: Name -> rest :: {Unit}
                -> [[nm] ~ rest] =>
                      tf -> tr rest -> tr ([nm] ++ rest))
           (i : tr []) [r ::: {Unit}] (fl : folder r) =
    fl [fn r :: {Unit} => $(mapU tf r) -> tr r]
       (fn [nm :: Name] [t :: Unit] [rest :: {Unit}] [[nm] ~ rest] acc r =>
           f [nm] [rest] ! r.nm (acc (r -- nm)))
       (fn _ => i)

fun foldUR2 [tf1 :: Type] [tf2 :: Type] [tr :: {Unit} -> Type]
           (f : nm :: Name -> rest :: {Unit}
                -> [[nm] ~ rest] =>
                      tf1 -> tf2 -> tr rest -> tr ([nm] ++ rest))
           (i : tr []) [r ::: {Unit}] (fl : folder r) =
    fl [fn r :: {Unit} => $(mapU tf1 r) -> $(mapU tf2 r) -> tr r]
       (fn [nm :: Name] [t :: Unit] [rest :: {Unit}] [[nm] ~ rest] acc r1 r2 =>
           f [nm] [rest] ! r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
       (fn _ _ => i)

fun foldURX2 [tf1 :: Type] [tf2 :: Type] [ctx :: {Unit}]
           (f : nm :: Name -> rest :: {Unit}
                -> [[nm] ~ rest] =>
                      tf1 -> tf2 -> xml ctx [] []) =
    @@foldUR2 [tf1] [tf2] [fn _ => xml ctx [] []]
      (fn [nm :: Name] [rest :: {Unit}] [[nm] ~ rest] v1 v2 acc =>
          <xml>{f [nm] [rest] ! v1 v2}{acc}</xml>)
      <xml/>

fun foldR [K] [tf :: K -> Type] [tr :: {K} -> Type]
           (f : nm :: Name -> t :: K -> rest :: {K}
                -> [[nm] ~ rest] =>
                      tf t -> tr rest -> tr ([nm = t] ++ rest))
           (i : tr []) [r ::: {K}] (fl : folder r) =
    fl [fn r :: {K} => $(map tf r) -> tr r]
       (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] (acc : _ -> tr rest) r =>
           f [nm] [t] [rest] ! r.nm (acc (r -- nm)))
       (fn _ => i)

fun foldR2 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tr :: {K} -> Type]
            (f : nm :: Name -> t :: K -> rest :: {K}
                 -> [[nm] ~ rest] =>
                       tf1 t -> tf2 t -> tr rest -> tr ([nm = t] ++ rest))
            (i : tr []) [r ::: {K}] (fl : folder r) =
    fl [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> tr r]
       (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] 
                        (acc : _ -> _ -> tr rest) r1 r2 =>
           f [nm] [t] [rest] ! r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
       (fn _ _ => i)

fun foldR3 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [tr :: {K} -> Type]
            (f : nm :: Name -> t :: K -> rest :: {K}
                 -> [[nm] ~ rest] =>
                       tf1 t -> tf2 t -> tf3 t -> tr rest -> tr ([nm = t] ++ rest))
            (i : tr []) [r ::: {K}] (fl : folder r) =
    fl [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> tr r]
       (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] 
                        (acc : _ -> _ -> _ -> tr rest) r1 r2 r3 =>
           f [nm] [t] [rest] ! r1.nm r2.nm r3.nm (acc (r1 -- nm) (r2 -- nm) (r3 -- nm)))
       (fn _ _ _ => i)

fun mapUX [tf :: Type] [ctx :: {Unit}]
          (f : nm :: Name -> rest :: {Unit} -> [[nm] ~ rest] => tf -> xml ctx [] []) =
    @@foldR [fn _ => tf] [fn _ => xml ctx [] []]
      (fn [nm :: Name] [u :: Unit] [rest :: {Unit}] [[nm] ~ rest] r acc =>
          <xml>{f [nm] [rest] ! r}{acc}</xml>)
      <xml/>

fun mapX [K] [tf :: K -> Type] [ctx :: {Unit}]
            (f : nm :: Name -> t :: K -> rest :: {K}
                 -> [[nm] ~ rest] =>
                       tf t -> xml ctx [] []) =
    @@foldR [tf] [fn _ => xml ctx [] []]
      (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] r acc =>
          <xml>{f [nm] [t] [rest] ! r}{acc}</xml>)
      <xml/>

fun mapX2 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [ctx :: {Unit}]
             (f : nm :: Name -> t :: K -> rest :: {K}
                  -> [[nm] ~ rest] =>
                        tf1 t -> tf2 t -> xml ctx [] []) =
    @@foldR2 [tf1] [tf2] [fn _ => xml ctx [] []]
      (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
                       r1 r2 acc =>
          <xml>{f [nm] [t] [rest] ! r1 r2}{acc}</xml>)
      <xml/>

fun mapX3 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [ctx :: {Unit}]
             (f : nm :: Name -> t :: K -> rest :: {K}
                  -> [[nm] ~ rest] =>
                        tf1 t -> tf2 t -> tf3 t -> xml ctx [] []) =
    @@foldR3 [tf1] [tf2] [tf3] [fn _ => xml ctx [] []]
      (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
                       r1 r2 r3 acc =>
          <xml>{f [nm] [t] [rest] ! r1 r2 r3}{acc}</xml>)
      <xml/>

fun queryL [tables] [exps] [tables ~ exps] (q : sql_query tables exps) =
    query q
    (fn r ls => return (r :: ls))
    []

fun queryI [tables ::: {{Type}}] [exps ::: {Type}]
           [tables ~ exps] (q : sql_query tables exps)
           (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
                -> transaction unit) =
    query q
          (fn fs _ => f fs)
          ()

fun queryX [tables ::: {{Type}}] [exps ::: {Type}] [ctx ::: {Unit}] [inp ::: {Type}]
           [tables ~ exps] (q : sql_query tables exps)
           (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
                -> xml ctx inp []) =
    query q
          (fn fs acc => return <xml>{acc}{f fs}</xml>)
          <xml/>

fun queryX1 [nm ::: Name] [fs ::: {Type}] [ctx ::: {Unit}] [inp ::: {Type}]
            (q : sql_query [nm = fs] [])
            (f : $fs -> xml ctx inp []) =
    query q
          (fn fs acc => return <xml>{acc}{f fs.nm}</xml>)
          <xml/>

fun queryX' [tables ::: {{Type}}] [exps ::: {Type}] [ctx ::: {Unit}] [inp ::: {Type}]
            [tables ~ exps] (q : sql_query tables exps)
            (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
                 -> transaction (xml ctx inp [])) =
    query q
          (fn fs acc =>
              r <- f fs;
              return <xml>{acc}{r}</xml>)
          <xml/>

fun queryX1' [nm ::: Name] [fs ::: {Type}] [ctx ::: {Unit}] [inp ::: {Type}]
             (q : sql_query [nm = fs] [])
             (f : $fs -> transaction (xml ctx inp [])) =
    query q
          (fn fs acc =>
              r <- f fs.nm;
              return <xml>{acc}{r}</xml>)
          <xml/>

fun queryXE' [exps ::: {Type}] [ctx ::: {Unit}] [inp ::: {Type}]
             (q : sql_query [] exps)
             (f : $exps -> transaction (xml ctx inp [])) =
    query q
          (fn fs acc =>
              r <- f fs;
              return <xml>{acc}{r}</xml>)
          <xml/>

fun hasRows [tables ::: {{Type}}] [exps ::: {Type}]
            [tables ~ exps]
            (q : sql_query tables exps) =
    query q
          (fn _ _ => return True)
          False

fun oneOrNoRows [tables ::: {{Type}}] [exps ::: {Type}]
                [tables ~ exps]
                (q : sql_query tables exps) =
    query q
          (fn fs _ => return (Some fs))
          None

fun oneOrNoRows1 [nm ::: Name] [fs ::: {Type}] (q : sql_query [nm = fs] []) =
    query q
          (fn fs _ => return (Some fs.nm))
          None

fun oneOrNoRowsE1 [tabs ::: {Unit}] [nm ::: Name] [t ::: Type] [tabs ~ [nm]] (q : sql_query (mapU [] tabs) [nm = t]) =
    query q
          (fn fs _ => return (Some fs.nm))
          None

fun oneRow [tables ::: {{Type}}] [exps ::: {Type}]
           [tables ~ exps] (q : sql_query tables exps) =
    o <- oneOrNoRows q;
    return (case o of
                None => error <xml>Query returned no rows</xml>
              | Some r => r)

fun oneRow1 [nm ::: Name] [fs ::: {Type}] (q : sql_query [nm = fs] []) =
    o <- oneOrNoRows q;
    return (case o of
                None => error <xml>Query returned no rows</xml>
              | Some r => r.nm)

fun oneRowE1 [tabs ::: {Unit}] [nm ::: Name] [t ::: Type] [tabs ~ [nm]] (q : sql_query (mapU [] tabs) [nm = t]) =
    o <- oneOrNoRows q;
    return (case o of
                None => error <xml>Query returned no rows</xml>
              | Some r => r.nm)

fun nonempty [fs] [us] (t : sql_table fs us) =
    oneRowE1 (SELECT COUNT( * ) > 0 AS B FROM t)

fun eqNullable [tables ::: {{Type}}] [agg ::: {{Type}}] [exps ::: {Type}]
    [t ::: Type] (_ : sql_injectable (option t))
    (e1 : sql_exp tables agg exps (option t))
    (e2 : sql_exp tables agg exps (option t)) =
    (SQL ({e1} IS NULL AND {e2} IS NULL) OR {e1} = {e2})

fun eqNullable' [tables ::: {{Type}}] [agg ::: {{Type}}] [exps ::: {Type}]
    [t ::: Type] (_ : sql_injectable (option t))
    (e1 : sql_exp tables agg exps (option t))
    (e2 : option t) =
    case e2 of
        None => (SQL {e1} IS NULL)
      | Some _ => sql_binary sql_eq e1 (sql_inject e2)