blob: 91b44bfd896bd098807c01fdc1442b4d5b7b8225 (
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
|
## Copyright (c) Eduardo Julian. All rights reserved.
## This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0.
## If a copy of the MPL was not distributed with this file,
## You can obtain one at http://mozilla.org/MPL/2.0/.
(;module:
lux
(lux (control eq
monad)
(data [text "Text/" Monoid<Text> Eq<Text>]
[number "Nat/" Codec<Text,Nat>]
maybe
(struct [list #+ "List/" Monad<List> Monoid<List> Fold<List>]))
(macro [ast])
))
## [Utils]
(def: (beta-reduce env type)
(-> (List Type) Type Type)
(case type
(#;HostT name params)
(#;HostT name (List/map (beta-reduce env) params))
(^template [<tag>]
(<tag> left right)
(<tag> (beta-reduce env left) (beta-reduce env right)))
([#;SumT] [#;ProdT])
(^template [<tag>]
(<tag> left right)
(<tag> (beta-reduce env left) (beta-reduce env right)))
([#;LambdaT]
[#;AppT])
(^template [<tag>]
(<tag> old-env def)
(case old-env
#;Nil
(<tag> env def)
_
type))
([#;UnivQ]
[#;ExQ])
(#;BoundT idx)
(default type (list;at idx env))
(#;NamedT name type)
(beta-reduce env type)
_
type
))
## [Structures]
(struct: #export _ (Eq Type)
(def: (= x y)
(case [x y]
[(#;HostT xname xparams) (#;HostT yname yparams)]
(and (Text/= xname yname)
(n.= (list;size yparams) (list;size xparams))
(List/fold (lambda [[x y] prev] (and prev (= x y)))
true
(list;zip2 xparams yparams)))
(^template [<tag>]
[<tag> <tag>]
true)
([#;VoidT] [#;UnitT])
(^template [<tag>]
[(<tag> xid) (<tag> yid)]
(n.= yid xid))
([#;VarT] [#;ExT] [#;BoundT])
(^or [(#;LambdaT xleft xright) (#;LambdaT yleft yright)]
[(#;AppT xleft xright) (#;AppT yleft yright)])
(and (= xleft yleft)
(= xright yright))
[(#;NamedT [xmodule xname] xtype) (#;NamedT [ymodule yname] ytype)]
(and (Text/= xmodule ymodule)
(Text/= xname yname)
(= xtype ytype))
(^template [<tag>]
[(<tag> xL xR) (<tag> yL yR)]
(and (= xL yL) (= xR yR)))
([#;SumT] [#;ProdT])
(^or [(#;UnivQ xenv xbody) (#;UnivQ yenv ybody)]
[(#;ExQ xenv xbody) (#;ExQ yenv ybody)])
(and (n.= (list;size yenv) (list;size xenv))
(= xbody ybody)
(List/fold (lambda [[x y] prev] (and prev (= x y)))
true
(list;zip2 xenv yenv)))
_
false
)))
## [Values]
(do-template [<name> <tag>]
[(def: #export (<name> type)
(-> Type [Nat Type])
(loop [num-args +0
type type]
(case type
(<tag> env sub-type)
(recur (n.inc num-args) sub-type)
_
[num-args type])))]
[flatten-univq #;UnivQ]
[flatten-exq #;ExQ]
)
(def: #export (flatten-function type)
(-> Type [(List Type) Type])
(case type
(#;LambdaT in out')
(let [[ins out] (flatten-function out')]
[(list& in ins) out])
_
[(list) type]))
(def: #export (flatten-application type)
(-> Type [Type (List Type)])
(case type
(#;AppT left' right)
(let [[left rights] (flatten-application left')]
[left (List/append rights (list right))])
_
[type (list)]))
(do-template [<name> <tag>]
[(def: #export (<name> type)
(-> Type (List Type))
(case type
(<tag> left right)
(list& left (<name> right))
_
(list type)))]
[flatten-variant #;SumT]
[flatten-tuple #;ProdT]
)
(def: #export (apply-type type-fun param)
(-> Type Type (Maybe Type))
(case type-fun
(^template [<tag>]
(<tag> env body)
(#;Some (beta-reduce (list& type-fun param env) body)))
([#;UnivQ] [#;ExQ])
(#;AppT F A)
(do Monad<Maybe>
[type-fn* (apply-type F A)]
(apply-type type-fn* param))
(#;NamedT name type)
(apply-type type param)
_
#;None))
(def: #export (to-ast type)
(-> Type AST)
(case type
(#;HostT name params)
(` (#;HostT (~ (ast;text name))
(list (~@ (List/map to-ast params)))))
(^template [<tag>]
<tag>
(` <tag>))
([#;VoidT] [#;UnitT])
(^template [<tag>]
(<tag> idx)
(` (<tag> (~ (ast;nat idx)))))
([#;VarT] [#;ExT] [#;BoundT])
(^template [<tag>]
(<tag> left right)
(` (<tag> (~ (to-ast left))
(~ (to-ast right)))))
([#;LambdaT] [#;AppT])
(^template [<tag> <macro> <flattener>]
(<tag> left right)
(` (<macro> (~@ (List/map to-ast (<flattener> type))))))
([#;SumT | flatten-variant]
[#;ProdT & flatten-tuple])
(#;NamedT name sub-type)
(ast;symbol name)
(^template [<tag>]
(<tag> env body)
(` (<tag> (list (~@ (List/map to-ast env)))
(~ (to-ast body)))))
([#;UnivQ] [#;ExQ])
))
(def: #export (to-text type)
(-> Type Text)
(case type
(#;HostT name params)
(case params
#;Nil
($_ Text/append "(^ " name ")")
_
($_ Text/append "(^ " name " " (|> params (List/map to-text) list;reverse (list;interpose " ") (List/fold Text/append "")) ")"))
#;VoidT
"Void"
#;UnitT
"Unit"
(^template [<tag> <open> <close> <flatten>]
(<tag> _)
($_ Text/append <open>
(|> (<flatten> type)
(List/map to-text)
list;reverse
(list;interpose " ")
(List/fold Text/append ""))
<close>))
([#;SumT "(| " ")" flatten-variant]
[#;ProdT "[" "]" flatten-tuple])
(#;LambdaT input output)
(let [[ins out] (flatten-function type)]
($_ Text/append "(-> "
(|> ins
(List/map to-text)
list;reverse
(list;interpose " ")
(List/fold Text/append ""))
" " (to-text out) ")"))
(#;BoundT idx)
(Nat/encode idx)
(#;VarT id)
($_ Text/append "⌈v:" (Nat/encode id) "⌋")
(#;ExT id)
($_ Text/append "⟨e:" (Nat/encode id) "⟩")
(#;AppT fun param)
(let [[type-fun type-args] (flatten-application type)]
($_ Text/append "(" (to-text type-fun) " " (|> type-args (List/map to-text) list;reverse (list;interpose " ") (List/fold Text/append "")) ")"))
(#;UnivQ env body)
($_ Text/append "(All " (to-text body) ")")
(#;ExQ env body)
($_ Text/append "(Ex " (to-text body) ")")
(#;NamedT [module name] type)
($_ Text/append module ";" name)
))
(def: #export (un-alias type)
(-> Type Type)
(case type
(#;NamedT _ (#;NamedT ident type'))
(un-alias (#;NamedT ident type'))
_
type))
(def: #export (un-name type)
(-> Type Type)
(case type
(#;NamedT ident type')
(un-name type')
_
type))
(do-template [<name> <base> <ctor>]
[(def: #export (<name> types)
(-> (List Type) Type)
(case types
#;Nil
<base>
(#;Cons type #;Nil)
type
(#;Cons type types')
(<ctor> type (<name> types'))))]
[variant Void #;SumT]
[tuple Unit #;ProdT]
)
(def: #export (function inputs output)
(-> (List Type) Type Type)
(case inputs
#;Nil
output
(#;Cons input inputs')
(#;LambdaT input (function inputs' output))))
(def: #export (application quant params)
(-> Type (List Type) Type)
(case params
#;Nil
quant
(#;Cons param params')
(application (#;AppT quant param) params')))
(do-template [<name> <tag>]
[(def: #export (<name> size body)
(-> Nat Type Type)
(case size
+0 body
_ (<tag> (list) (<name> (n.dec size) body))))]
[univq #;UnivQ]
[exq #;ExQ]
)
|