summaryrefslogtreecommitdiff
path: root/lib/ur/top.urs
blob: 489e744da7c7b9f39d1817bd493afd7da29b7ad3 (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
(** Row folding *)

con folder :: K --> {K} -> Type

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

structure Folder : sig
    val nil : K --> folder (([]) :: {K})
    val cons : K --> r ::: {K} -> nm :: Name -> v :: K
               -> [[nm] ~ r] => folder r -> folder ([nm = v] ++ r)
    val concat : K --> r1 ::: {K} -> r2 ::: {K}
                 -> [r1 ~ r2] => folder r1 -> folder r2 -> folder (r1 ++ r2)
    val mp : K1 --> K2 --> f ::: (K1 -> K2) -> r ::: {K1}
             -> folder r -> folder (map f r)
end


val not : bool -> bool

(* Type-level identity function *)
con ident = K ==> fn t :: K => t

(* Type-level function which yields the value-level record
   described by the given type-level record *)
con record = fn 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

(* Convert a record of n Units into a type-level record where
   each field has the same value (which describes a uniformly
   typed record) *)
con mapU = K ==> fn f :: K => map (fn _ :: Unit => f)

(* Existential type former *)
con ex :: K --> (K -> Type) -> Type

(* Introduction of existential type *)
val ex_intro : K --> tf :: (K -> Type) -> choice :: K -> tf choice -> ex tf

(* Eliminator for existential type *)
val ex_elim : K --> tf ::: (K -> Type) -> ex tf -> res ::: Type -> (choice :: K -> tf choice -> res) -> res

(* Composition of ordinary (value-level) functions *)
val compose : t1 ::: Type -> t2 ::: Type -> t3 ::: Type
              -> (t2 -> t3) -> (t1 -> t2) -> (t1 -> t3)

val show_option : t ::: Type -> show t -> show (option t)
val read_option : t ::: Type -> read t -> read (option t)

val txt : t ::: Type -> ctx ::: {Unit} -> use ::: {Type} -> show t -> t
          -> xml ctx use []

(* Given a polymorphic type (tf) and a means of constructing
   "default" values of tf applied to arbitrary arguments,
   constructs records consisting of those "default" values *)
val map0 : K --> tf :: (K -> Type)
           -> (t :: K -> tf t)
           -> r ::: {K} -> folder r -> $(map tf r)

(* Given two polymorphic types (tf1 and tf2) and a means of
   converting from tf1 t to tf2 t for arbitrary t,
   converts records of tf1's to records of tf2's *)
val mp : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type)
         -> (t ::: K -> tf1 t -> tf2 t)
         -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r)

(* Two-argument conversion form of mp *)
val map2 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf :: (K -> Type)
           -> (t ::: K -> tf1 t -> tf2 t -> tf t)
           -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf r)

(* Three-argument conversion form of mp *)
val map3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type) -> tf :: (K -> Type)
           -> (t ::: K -> tf1 t -> tf2 t -> tf3 t -> tf t)
           -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> $(map tf r)

(* Fold along a uniformly (homogenously) typed record *)
val foldUR : tf :: Type -> tr :: ({Unit} -> Type)
             -> (nm :: Name -> rest :: {Unit}
                 -> [[nm] ~ rest] =>
                       tf -> tr rest -> tr ([nm] ++ rest))
             -> tr [] -> r ::: {Unit} -> folder r -> $(mapU tf r) -> tr r

(* Fold (generalized safe zip) along two equal-length uniformly-typed records *)
val foldUR2 : tf1 :: Type -> tf2 :: Type -> tr :: ({Unit} -> Type)
             -> (nm :: Name -> rest :: {Unit}
                 -> [[nm] ~ rest] =>
                       tf1 -> tf2 -> tr rest -> tr ([nm] ++ rest))
             -> tr [] -> r ::: {Unit} -> folder r -> $(mapU tf1 r) -> $(mapU tf2 r) -> tr r

(* Fold along a heterogenously-typed record *)
val foldR : K --> tf :: (K -> Type) -> tr :: ({K} -> Type)
             -> (nm :: Name -> t :: K -> rest :: {K}
                 -> [[nm] ~ rest] =>
                       tf t -> tr rest -> tr ([nm = t] ++ rest))
             -> tr [] -> r ::: {K} -> folder r -> $(map tf r) -> tr r

(* Fold (generalized safe zip) along two heterogenously-typed records *)
val foldR2 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type)
             -> tr :: ({K} -> Type)
             -> (nm :: Name -> t :: K -> rest :: {K}
                 -> [[nm] ~ rest] =>
                       tf1 t -> tf2 t -> tr rest -> tr ([nm = t] ++ rest))
             -> tr []
             -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> tr r

(* Fold (generalized safe zip) along three heterogenously-typed records *)
val foldR3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type)
             -> tr :: ({K} -> Type)
             -> (nm :: Name -> t :: K -> rest :: {K}
                 -> [[nm] ~ rest] =>
                       tf1 t -> tf2 t -> tf3 t -> tr rest -> tr ([nm = t] ++ rest))
             -> tr []
             -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> tr r

(* Generate some XML by mapping over a uniformly-typed record *)
val mapUX : tf :: Type -> ctx :: {Unit}
            -> (nm :: Name -> rest :: {Unit} -> [[nm] ~ rest] =>
                tf -> xml ctx [] [])
            -> r ::: {Unit} -> folder r -> $(mapU tf r) -> xml ctx [] []

(* Generate some XML by mapping over a heterogenously-typed record *)
val mapX : K --> tf :: (K -> Type) -> ctx :: {Unit}
           -> (nm :: Name -> t :: K -> rest :: {K}
               -> [[nm] ~ rest] =>
               tf t -> xml ctx [] [])
           -> r ::: {K} -> folder r -> $(map tf r) -> xml ctx [] []

val mapUX2 : tf1 :: Type -> tf2 :: Type -> ctx :: {Unit}
            -> (nm :: Name -> rest :: {Unit}
                -> [[nm] ~ rest] =>
                tf1 -> tf2 -> xml ctx [] [])
            -> r ::: {Unit} -> folder r
            -> $(mapU tf1 r) -> $(mapU tf2 r) -> xml ctx [] []

val mapX2 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> ctx :: {Unit}
            -> (nm :: Name -> t :: K -> rest :: {K}
                -> [[nm] ~ rest] =>
                tf1 t -> tf2 t -> xml ctx [] [])
            -> r ::: {K} -> folder r
            -> $(map tf1 r) -> $(map tf2 r) -> xml ctx [] []

val mapX3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type) -> ctx :: {Unit}
            -> (nm :: Name -> t :: K -> rest :: {K}
                -> [[nm] ~ rest] =>
                tf1 t -> tf2 t -> tf3 t -> xml ctx [] [])
            -> r ::: {K} -> folder r
            -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> xml ctx [] []

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

val queryL1 : t ::: Name -> fs ::: {Type}
              -> sql_query [] [] [t = fs] []
              -> transaction (list $fs)

val query1 : t ::: Name -> fs ::: {Type} -> state ::: Type
             -> sql_query [] [] [t = fs] []
             -> ($fs -> state -> transaction state)
             -> state
             -> transaction state

val query1' : t ::: Name -> fs ::: {Type} -> state ::: Type
              -> sql_query [] [] [t = fs] []
              -> ($fs -> state -> state)
              -> state
              -> transaction state

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

val queryI1 : nm ::: Name -> fs ::: {Type}
              -> sql_query [] [] [nm = fs] []
              -> ($fs -> transaction unit)
              -> transaction unit

val queryX : tables ::: {{Type}} -> exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
             -> [tables ~ exps] =>
             sql_query [] [] tables exps
             -> ($(exps ++ map (fn fields :: {Type} => $fields) tables)
                 -> xml ctx inp [])
             -> transaction (xml ctx inp [])

val queryXI : tables ::: {{Type}} -> exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
              -> [tables ~ exps] =>
    sql_query [] [] tables exps
    -> (int -> $(exps ++ map (fn fields :: {Type} => $fields) tables)
        -> xml ctx inp [])
    -> transaction (xml ctx inp [])

val queryX1 : nm ::: Name -> fs ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
              -> sql_query [] [] [nm = fs] []
              -> ($fs -> xml ctx inp [])
              -> transaction (xml ctx inp [])

val queryX1I : nm ::: Name -> fs ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
               -> sql_query [] [] [nm = fs] []
               -> (int -> $fs -> xml ctx inp [])
               -> transaction (xml ctx inp [])

val queryX' : tables ::: {{Type}} -> exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
              -> [tables ~ exps] =>
              sql_query [] [] tables exps
              -> ($(exps ++ map (fn fields :: {Type} => $fields) tables)
                  -> transaction (xml ctx inp []))
              -> transaction (xml ctx inp [])
val queryX1' : nm ::: Name -> fs ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
              -> sql_query [] [] [nm = fs] []
              -> ($fs -> transaction (xml ctx inp []))
              -> transaction (xml ctx inp [])
val queryXE' : exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
              -> sql_query [] [] [] exps
              -> ($exps -> transaction (xml ctx inp []))
              -> transaction (xml ctx inp [])

val hasRows : tables ::: {{Type}} -> exps ::: {Type}
              -> [tables ~ exps] =>
    sql_query [] [] tables exps
    -> transaction bool

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

val oneOrNoRows1 : nm ::: Name -> fs ::: {Type}
                   -> sql_query [] [] [nm = fs] []
                   -> transaction (option $fs)

val oneOrNoRowsE1 : tabs ::: {Unit} -> nm ::: Name -> t ::: Type
                    -> [tabs ~ [nm]] =>
    sql_query [] [] (mapU [] tabs) [nm = t]
    -> transaction (option t)

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

val oneRow1 : nm ::: Name -> fs ::: {Type}
    -> sql_query [] [] [nm = fs] []
    -> transaction $fs

val oneRowE1 : tabs ::: {Unit} -> nm ::: Name -> t ::: Type
               -> [tabs ~ [nm]] =>
    sql_query [] [] (mapU [] tabs) [nm = t]
    -> transaction t

val nonempty : fs ::: {Type} -> us ::: {{Unit}} -> sql_table fs us
               -> transaction bool

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

val eqNullable' : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
                  -> t ::: Type -> sql_injectable (option t)
                  -> sql_exp tables agg exps (option t)
                  -> option t
                  -> sql_exp tables agg exps bool

val mkRead' : t ::: Type -> (string -> option t) -> string -> read t