summaryrefslogtreecommitdiff
path: root/lib/ur/basis.urs
blob: 454b10b28466aca2c209ec0b11cbecb78ee8c5bb (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
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
type int
type float
type string
type time

type unit = {}

datatype bool = False | True

datatype option t = None | Some of t


(** Basic type classes *)

class eq
val eq : t ::: Type -> eq t -> t -> t -> bool
val ne : t ::: Type -> eq t -> t -> t -> bool
val eq_int : eq int
val eq_float : eq float
val eq_string : eq string
val eq_bool : eq bool
val eq_time : eq time
val mkEq : t ::: Type -> (t -> t -> bool) -> eq t

class num
val zero : t ::: Type -> num t -> t
val neg : t ::: Type -> num t -> t -> t
val plus : t ::: Type -> num t -> t -> t -> t
val minus : t ::: Type -> num t -> t -> t -> t
val times : t ::: Type -> num t -> t -> t -> t
val div : t ::: Type -> num t -> t -> t -> t
val mod : t ::: Type -> num t -> t -> t -> t
val num_int : num int
val num_float : num float

class ord
val lt : t ::: Type -> ord t -> t -> t -> bool
val le : t ::: Type -> ord t -> t -> t -> bool
val gt : t ::: Type -> ord t -> t -> t -> bool
val ge : t ::: Type -> ord t -> t -> t -> bool
val ord_int : ord int
val ord_float : ord float
val ord_string : ord string
val ord_bool : ord bool
val ord_time : ord time


(** String operations *)

val strcat : string -> string -> string

class show
val show : t ::: Type -> show t -> t -> string
val show_int : show int
val show_float : show float
val show_string : show string
val show_bool : show bool
val show_time : show time
val mkShow : t ::: Type -> (t -> string) -> show t

class read
val read : t ::: Type -> read t -> string -> option t
val readError : t ::: Type -> read t -> string -> t
(* [readError] calls [error] if the input is malformed. *)
val read_int : read int
val read_float : read float
val read_string : read string
val read_bool : read bool
val read_time : read time


(** * Monads *)

class monad :: (Type -> Type) -> Type
val return : m ::: (Type -> Type) -> t ::: Type
             -> monad m
             -> t -> m t
val bind : m ::: (Type -> Type) -> t1 ::: Type -> t2 ::: Type
           -> monad m
           -> m t1 -> (t1 -> m t2)
           -> m t2

con transaction :: Type -> Type
val transaction_monad : monad transaction

con source :: Type -> Type
val source : t ::: Type -> t -> transaction (source t)
val set : t ::: Type -> source t -> t -> transaction unit
val get : t ::: Type -> source t -> transaction t

con signal :: Type -> Type
val signal_monad : monad signal
val signal : t ::: Type -> source t -> signal t


(** HTTP operations *)

val requestHeader : string -> transaction (option string)

con http_cookie :: Type -> Type
val getCookie : t ::: Type -> http_cookie t -> transaction (option t)
val setCookie : t ::: Type -> http_cookie t -> t -> transaction unit


(** JavaScript-y gadgets *)

val alert : string -> transaction unit
val spawn : transaction unit -> transaction unit
val sleep : int -> transaction unit


(** Channels *)

con channel :: Type -> Type
val channel : t ::: Type -> transaction (channel t)
val send : t ::: Type -> channel t -> t -> transaction unit
val recv : t ::: Type -> channel t -> transaction t

type client
val self : transaction client


(** SQL *)

con sql_table :: {Type} -> {{Unit}} -> Type

(*** Constraints *)

(**** Primary keys *)

class sql_injectable_prim
val sql_bool : sql_injectable_prim bool
val sql_int : sql_injectable_prim int
val sql_float : sql_injectable_prim float
val sql_string : sql_injectable_prim string
val sql_time : sql_injectable_prim time
val sql_channel : t ::: Type -> sql_injectable_prim (channel t)
val sql_client : sql_injectable_prim client

con primary_key :: {Type} -> {{Unit}} -> Type
val no_primary_key : fs ::: {Type} -> primary_key fs []
val primary_key : rest ::: {Type} -> t ::: Type -> key1 :: Name -> keys :: {Type}
                  -> [[key1] ~ keys] => [[key1 = t] ++ keys ~ rest]
    => $([key1 = sql_injectable_prim t] ++ map sql_injectable_prim keys)
       -> primary_key ([key1 = t] ++ keys ++ rest)
          [Pkey = [key1] ++ map (fn _ => ()) keys]

(**** Other constraints *)

con sql_constraints :: {Type} -> {{Unit}} -> Type
(* Arguments: column types, uniqueness implications of constraints *)

con sql_constraint :: {Type} -> {Unit} -> Type

val no_constraint : fs ::: {Type} -> sql_constraints fs []
val one_constraint : fs ::: {Type} -> unique ::: {Unit} -> name :: Name
                     -> sql_constraint fs unique
                     -> sql_constraints fs [name = unique]
val join_constraints : fs ::: {Type}
                       -> uniques1 ::: {{Unit}} -> uniques2 ::: {{Unit}} -> [uniques1 ~ uniques2]
    => sql_constraints fs uniques1 -> sql_constraints fs uniques2
       -> sql_constraints fs (uniques1 ++ uniques2)


val unique : rest ::: {Type} -> t ::: Type -> unique1 :: Name -> unique :: {Type}
             -> [[unique1] ~ unique] => [[unique1 = t] ++ unique ~ rest]
    => sql_constraint ([unique1 = t] ++ unique ++ rest) ([unique1] ++ map (fn _ => ()) unique)

class linkable :: Type -> Type -> Type
val linkable_same : t ::: Type -> linkable t t
val linkable_from_nullable : t ::: Type -> linkable (option t) t
val linkable_to_nullable : t ::: Type -> linkable t (option t)

con matching :: {Type} -> {Type} -> Type
val mat_nil : matching [] []
val mat_cons : t1 ::: Type -> rest1 ::: {Type} -> t2 ::: Type -> rest2 ::: {Type}
               -> nm1 :: Name -> nm2 :: Name
               -> [[nm1] ~ rest1] => [[nm2] ~ rest2]
    => linkable t1 t2
       -> matching rest1 rest2
       -> matching ([nm1 = t1] ++ rest1) ([nm2 = t2] ++ rest2)

con propagation_mode :: {Type} -> Type
val restrict : fs ::: {Type} -> propagation_mode fs
val cascade : fs ::: {Type} -> propagation_mode fs
val no_action : fs ::: {Type} -> propagation_mode fs
val set_null : fs ::: {Type} -> propagation_mode (map option fs)


val foreign_key : mine1 ::: Name -> t ::: Type -> mine ::: {Type} -> munused ::: {Type}
                  -> foreign ::: {Type} -> funused ::: {Type}
                  -> nm ::: Name -> uniques ::: {{Unit}}
                  -> [[mine1] ~ mine] => [[mine1 = t] ++ mine ~ munused]
    => [foreign ~ funused] => [[nm] ~ uniques]
    => matching ([mine1 = t] ++ mine) foreign
       -> sql_table (foreign ++ funused) ([nm = map (fn _ => ()) foreign] ++ uniques)
       -> {OnDelete : propagation_mode ([mine1 = t] ++ mine),
           OnUpdate : propagation_mode ([mine1 = t] ++ mine)}
       -> sql_constraint ([mine1 = t] ++ mine ++ munused) []


(*** Queries *)

con sql_query :: {{Type}} -> {Type} -> Type
con sql_query1 :: {{Type}} -> {{Type}} -> {Type} -> Type
con sql_exp :: {{Type}} -> {{Type}} -> {Type} -> Type -> Type

con sql_subset :: {{Type}} -> {{Type}} -> Type
val sql_subset : keep_drop :: {({Type} * {Type})}
                              -> sql_subset
                                     (map (fn fields :: ({Type} * {Type}) => fields.1 ++ fields.2) keep_drop)
                                     (map (fn fields :: ({Type} * {Type}) => fields.1) keep_drop)
val sql_subset_all : tables :: {{Type}} -> sql_subset tables tables

val sql_query1 : tables ::: {({Type} * {{Unit}})}
                 -> grouped ::: {{Type}}
                 -> selectedFields ::: {{Type}}
                 -> selectedExps ::: {Type}
                 -> {From : $(map (fn p :: ({Type} * {{Unit}}) => sql_table p.1 p.2) tables),
                     Where : sql_exp (map (fn p :: ({Type} * {{Unit}}) => p.1) tables) [] [] bool,
                     GroupBy : sql_subset (map (fn p :: ({Type} * {{Unit}}) => p.1) tables) grouped,
                     Having : sql_exp grouped (map (fn p :: ({Type} * {{Unit}}) => p.1) tables) [] bool,
                     SelectFields : sql_subset grouped selectedFields,
                     SelectExps : $(map (sql_exp grouped (map (fn p :: ({Type} * {{Unit}}) => p.1) tables) [])
                                            selectedExps) }
                 -> sql_query1 (map (fn p :: ({Type} * {{Unit}}) => p.1) tables) selectedFields selectedExps

type sql_relop 
val sql_union : sql_relop
val sql_intersect : sql_relop
val sql_except : sql_relop
val sql_relop : tables1 ::: {{Type}}
                -> tables2 ::: {{Type}}
                -> selectedFields ::: {{Type}}
                -> selectedExps ::: {Type}
                -> sql_relop
                -> sql_query1 tables1 selectedFields selectedExps
                -> sql_query1 tables2 selectedFields selectedExps
                -> sql_query1 selectedFields selectedFields selectedExps

type sql_direction
val sql_asc : sql_direction
val sql_desc : sql_direction

con sql_order_by :: {{Type}} -> {Type} -> Type
val sql_order_by_Nil : tables ::: {{Type}} -> exps :: {Type} -> sql_order_by tables exps
val sql_order_by_Cons : tables ::: {{Type}} -> exps ::: {Type} -> t ::: Type
                        -> sql_exp tables [] exps t -> sql_direction
                        -> sql_order_by tables exps
                        -> sql_order_by tables exps

type sql_limit
val sql_no_limit : sql_limit
val sql_limit : int -> sql_limit
                       
type sql_offset
val sql_no_offset : sql_offset
val sql_offset : int -> sql_offset

val sql_query : tables ::: {{Type}}
                -> selectedFields ::: {{Type}}
                -> selectedExps ::: {Type}
                -> {Rows : sql_query1 tables selectedFields selectedExps,
                    OrderBy : sql_order_by tables selectedExps,
                    Limit : sql_limit,
                    Offset : sql_offset}
                -> sql_query selectedFields selectedExps

val sql_field : otherTabs ::: {{Type}} -> otherFields ::: {Type}
                -> fieldType ::: Type -> agg ::: {{Type}}
                -> exps ::: {Type}
                -> tab :: Name -> field :: Name
                -> sql_exp
                       ([tab = [field = fieldType] ++ otherFields] ++ otherTabs)
                       agg exps fieldType

val sql_exp : tabs ::: {{Type}} -> agg ::: {{Type}} -> t ::: Type -> rest ::: {Type}
              -> nm :: Name
              -> sql_exp tabs agg ([nm = t] ++ rest) t

class sql_injectable
val sql_prim : t ::: Type -> sql_injectable_prim t -> sql_injectable t
val sql_option_prim : t ::: Type -> sql_injectable_prim t -> sql_injectable (option t)

val sql_inject : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                 -> t ::: Type
                 -> sql_injectable t -> t -> sql_exp tables agg exps t

val sql_is_null : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                  -> t ::: Type
                  -> sql_exp tables agg exps (option t)
                  -> sql_exp tables agg exps bool

class sql_arith
val sql_int_arith : sql_arith int
val sql_float_arith : sql_arith float

con sql_unary :: Type -> Type -> Type
val sql_not : sql_unary bool bool
val sql_unary : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                -> arg ::: Type -> res ::: Type
                -> sql_unary arg res -> sql_exp tables agg exps arg
                -> sql_exp tables agg exps res

val sql_neg : t ::: Type -> sql_arith t -> sql_unary t t

con sql_binary :: Type -> Type -> Type -> Type
val sql_and : sql_binary bool bool bool
val sql_or : sql_binary bool bool bool
val sql_binary : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                 -> arg1 ::: Type -> arg2 ::: Type -> res ::: Type
                 -> sql_binary arg1 arg2 res -> sql_exp tables agg exps arg1
                 -> sql_exp tables agg exps arg2
                 -> sql_exp tables agg exps res

val sql_plus : t ::: Type -> sql_arith t -> sql_binary t t t
val sql_minus : t ::: Type -> sql_arith t -> sql_binary t t t
val sql_times : t ::: Type -> sql_arith t -> sql_binary t t t
val sql_div : t ::: Type -> sql_arith t -> sql_binary t t t
val sql_mod : sql_binary int int int

val sql_eq : t ::: Type -> sql_binary t t bool
val sql_ne : t ::: Type -> sql_binary t t bool
val sql_lt : t ::: Type -> sql_binary t t bool
val sql_le : t ::: Type -> sql_binary t t bool
val sql_gt : t ::: Type -> sql_binary t t bool
val sql_ge : t ::: Type -> sql_binary t t bool

val sql_count : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                -> sql_exp tables agg exps int

con sql_aggregate :: Type -> Type
val sql_aggregate : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                    -> t ::: Type
                    -> sql_aggregate t -> sql_exp agg agg exps t
                    -> sql_exp tables agg exps t

class sql_summable
val sql_summable_int : sql_summable int
val sql_summable_float : sql_summable float
val sql_avg : t ::: Type -> sql_summable t -> sql_aggregate t
val sql_sum : t ::: Type -> sql_summable t -> sql_aggregate t

class sql_maxable
val sql_maxable_int : sql_maxable int
val sql_maxable_float : sql_maxable float
val sql_maxable_string : sql_maxable string
val sql_maxable_time : sql_maxable time
val sql_max : t ::: Type -> sql_maxable t -> sql_aggregate t
val sql_min : t ::: Type -> sql_maxable t -> sql_aggregate t

con sql_nfunc :: Type -> Type
val sql_nfunc : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                -> t ::: Type
                -> sql_nfunc t -> sql_exp tables agg exps t
val sql_current_timestamp : sql_nfunc time


(*** Executing queries *)

val query : tables ::: {{Type}} -> exps ::: {Type}
            -> [tables ~ exps] =>
                  state ::: Type
                  -> sql_query tables exps
                  -> ($(exps ++ map (fn fields :: {Type} => $fields) tables)
                      -> state
                      -> transaction state)
                  -> state
                  -> transaction state


(*** Database mutators *)

type dml
val dml : dml -> transaction unit

val insert : fields ::: {Type} -> uniques ::: {{Unit}}
             -> sql_table fields uniques
             -> $(map (fn t :: Type => sql_exp [] [] [] t) fields)
             -> dml

val update : unchanged ::: {Type} -> uniques ::: {{Unit}} -> changed :: {Type} ->
             [changed ~ unchanged] =>
                $(map (fn t :: Type => sql_exp [T = changed ++ unchanged] [] [] t) changed)
                -> sql_table (changed ++ unchanged) uniques
                -> sql_exp [T = changed ++ unchanged] [] [] bool
                -> dml

val delete : fields ::: {Type} -> uniques ::: {{Unit}}
             -> sql_table fields uniques
             -> sql_exp [T = fields] [] [] bool
             -> dml

(*** Sequences *)

type sql_sequence
val nextval : sql_sequence -> transaction int


(** XML *)

con tag :: {Type} -> {Unit} -> {Unit} -> {Type} -> {Type} -> Type


con xml :: {Unit} -> {Type} -> {Type} -> Type
val cdata : ctx ::: {Unit} -> use ::: {Type} -> string -> xml ctx use []
val tag : attrsGiven ::: {Type} -> attrsAbsent ::: {Type}
          -> ctxOuter ::: {Unit} -> ctxInner ::: {Unit}
          -> useOuter ::: {Type} -> useInner ::: {Type}
          -> bindOuter ::: {Type} -> bindInner ::: {Type}
          -> [attrsGiven ~ attrsAbsent] =>
             [useOuter ~ useInner] =>
             [bindOuter ~ bindInner] =>
           $attrsGiven
           -> tag (attrsGiven ++ attrsAbsent)
                  ctxOuter ctxInner useOuter bindOuter
           -> xml ctxInner useInner bindInner
           -> xml ctxOuter (useOuter ++ useInner) (bindOuter ++ bindInner)
val join : ctx ::: {Unit} 
        -> use1 ::: {Type} -> bind1 ::: {Type} -> bind2 ::: {Type}
        -> [use1 ~ bind1] => [bind1 ~ bind2] =>
              xml ctx use1 bind1
              -> xml ctx (use1 ++ bind1) bind2
              -> xml ctx use1 (bind1 ++ bind2)
val useMore : ctx ::: {Unit} -> use1 ::: {Type} -> use2 ::: {Type}
              -> bind ::: {Type}
              -> [use1 ~ use2] =>
                    xml ctx use1 bind
                    -> xml ctx (use1 ++ use2) bind

con xhtml = xml [Html]
con page = xhtml [] []
con xbody = xml [Body] [] []
con xtr = xml [Body, Tr] [] []
con xform = xml [Body, Form] [] []

(*** HTML details *)

con html = [Html]
con head = [Head]
con body = [Body]
con form = [Body, Form]
con tabl = [Body, Table]
con tr = [Body, Tr]

val dyn : use ::: {Type} -> bind ::: {Type} -> unit
          -> tag [Signal = signal (xml body use bind)] body [] use bind

val head : unit -> tag [] html head [] []
val title : unit -> tag [] head [] [] []

val body : unit -> tag [Onload = transaction unit] html body [] []
con bodyTag = fn (attrs :: {Type}) =>
                 ctx ::: {Unit} ->
                 [[Body] ~ ctx] =>
                    unit -> tag attrs ([Body] ++ ctx) ([Body] ++ ctx) [] []
con bodyTagStandalone = fn (attrs :: {Type}) =>
                           ctx ::: {Unit}
                           -> [[Body] ~ ctx] =>
                                 unit -> tag attrs ([Body] ++ ctx) [] [] []

val br : bodyTagStandalone []

val span : bodyTag []

val p : bodyTag []
val b : bodyTag []
val i : bodyTag []
val tt : bodyTag []
val font : bodyTag [Size = int, Face = string]

val h1 : bodyTag []
val h2 : bodyTag []
val h3 : bodyTag []
val h4 : bodyTag []

val li : bodyTag []
val ol : bodyTag []
val ul : bodyTag []

val hr : bodyTag []

val a : bodyTag [Link = transaction page, Onclick = transaction unit]

val form : ctx ::: {Unit} -> bind ::: {Type}
            -> [[Body] ~ ctx] =>
                  xml form [] bind
                  -> xml ([Body] ++ ctx) [] []
con formTag = fn (ty :: Type) (inner :: {Unit}) (attrs :: {Type}) =>
                  ctx ::: {Unit}
                  -> [[Form] ~ ctx] =>
                        nm :: Name -> unit
                        -> tag attrs ([Form] ++ ctx) inner [] [nm = ty]
val textbox : formTag string [] [Value = string, Size = int, Source = source string]
val password : formTag string [] [Value = string, Size = int]
val textarea : formTag string [] [Rows = int, Cols = int]

val checkbox : formTag bool [] [Checked = bool]

con radio = [Body, Radio]
val radio : formTag string radio []
val radioOption : unit -> tag [Value = string] radio [] [] []

con select = [Select]
val select : formTag string select []
val option : unit -> tag [Value = string, Selected = bool] select [] [] []

val submit : ctx ::: {Unit} -> use ::: {Type}
             -> [[Form] ~ ctx] =>
                   unit
                   -> tag [Value = string, Action = $use -> transaction page]
                          ([Form] ++ ctx) ([Form] ++ ctx) use []

(*** AJAX-oriented widgets *)

con cformTag = fn (attrs :: {Type}) =>
                  ctx ::: {Unit}
                  -> [[Body] ~ ctx] =>
                        unit -> tag attrs ([Body] ++ ctx) [] [] []

val ctextbox : cformTag [Value = string, Size = int, Source = source string]
val button : cformTag [Value = string, Onclick = transaction unit]

(*** Tables *)

val tabl : other ::: {Unit} -> [other ~ [Body, Table]] =>
                                  unit -> tag [Border = int] ([Body] ++ other) ([Body, Table] ++ other) [] []
val tr : other ::: {Unit} -> [other ~ [Body, Table, Tr]] =>
                                unit -> tag [] ([Body, Table] ++ other) ([Body, Tr] ++ other) [] []
val th : other ::: {Unit} -> [other ~ [Body, Tr]] =>
                                unit -> tag [] ([Body, Tr] ++ other) ([Body] ++ other) [] []
val td : other ::: {Unit} -> [other ~ [Body, Tr]] =>
                                unit -> tag [] ([Body, Tr] ++ other) ([Body] ++ other) [] []


(** Aborting *)

val error : t ::: Type -> xml [Body] [] [] -> t