adamc@81
|
1 (* Copyright (c) 2008, Adam Chlipala
|
adamc@81
|
2 * All rights reserved.
|
adamc@81
|
3 *
|
adamc@81
|
4 * Redistribution and use in source and binary forms, with or without
|
adamc@81
|
5 * modification, are permitted provided that the following conditions are met:
|
adamc@81
|
6 *
|
adamc@81
|
7 * - Redistributions of source code must retain the above copyright notice,
|
adamc@81
|
8 * this list of conditions and the following disclaimer.
|
adamc@81
|
9 * - Redistributions in binary form must reproduce the above copyright notice,
|
adamc@81
|
10 * this list of conditions and the following disclaimer in the documentation
|
adamc@81
|
11 * and/or other materials provided with the distribution.
|
adamc@81
|
12 * - The names of contributors may not be used to endorse or promote products
|
adamc@81
|
13 * derived from this software without specific prior written permission.
|
adamc@81
|
14 *
|
adamc@81
|
15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
adamc@81
|
16 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
adamc@81
|
17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
adamc@81
|
18 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
|
adamc@81
|
19 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
adamc@81
|
20 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
adamc@81
|
21 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
adamc@81
|
22 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
adamc@81
|
23 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
adamc@81
|
24 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
adamc@81
|
25 * POSSIBILITY OF SUCH DAMAGE.
|
adamc@81
|
26 *)
|
adamc@81
|
27
|
adamc@81
|
28 structure ElabOps :> ELAB_OPS = struct
|
adamc@81
|
29
|
adamc@81
|
30 open Elab
|
adamc@81
|
31
|
adamc@81
|
32 structure E = ElabEnv
|
adamc@81
|
33 structure U = ElabUtil
|
adamc@81
|
34
|
adamc@623
|
35 fun liftKindInKind' by =
|
adamc@623
|
36 U.Kind.mapB {kind = fn bound => fn k =>
|
adamc@623
|
37 case k of
|
adamc@623
|
38 KRel xn =>
|
adamc@623
|
39 if xn < bound then
|
adamc@623
|
40 k
|
adamc@623
|
41 else
|
adamc@623
|
42 KRel (xn + by)
|
adamc@623
|
43 | _ => k,
|
adamc@623
|
44 bind = fn (bound, _) => bound + 1}
|
adamc@623
|
45
|
adamc@623
|
46 fun subKindInKind' rep =
|
adamc@623
|
47 U.Kind.mapB {kind = fn (by, xn) => fn k =>
|
adamc@623
|
48 case k of
|
adamc@623
|
49 KRel xn' =>
|
adamc@623
|
50 (case Int.compare (xn', xn) of
|
adamc@623
|
51 EQUAL => #1 (liftKindInKind' by 0 rep)
|
adamc@623
|
52 | GREATER => KRel (xn' - 1)
|
adamc@623
|
53 | LESS => k)
|
adamc@623
|
54 | _ => k,
|
adamc@623
|
55 bind = fn ((by, xn), _) => (by+1, xn+1)}
|
adamc@623
|
56
|
adamc@623
|
57 val liftKindInKind = liftKindInKind' 1
|
adamc@623
|
58
|
adamc@623
|
59 fun subKindInKind (xn, rep) = subKindInKind' rep (0, xn)
|
adamc@623
|
60
|
adamc@623
|
61 fun liftKindInCon by =
|
adamc@623
|
62 U.Con.mapB {kind = fn bound => fn k =>
|
adamc@623
|
63 case k of
|
adamc@623
|
64 KRel xn =>
|
adamc@623
|
65 if xn < bound then
|
adamc@623
|
66 k
|
adamc@623
|
67 else
|
adamc@623
|
68 KRel (xn + by)
|
adamc@623
|
69 | _ => k,
|
adamc@623
|
70 con = fn _ => fn c => c,
|
adamc@623
|
71 bind = fn (bound, U.Con.RelK _) => bound + 1
|
adamc@623
|
72 | (bound, _) => bound}
|
adamc@623
|
73
|
adamc@623
|
74 fun subKindInCon' rep =
|
adamc@623
|
75 U.Con.mapB {kind = fn (by, xn) => fn k =>
|
adamc@623
|
76 case k of
|
adamc@623
|
77 KRel xn' =>
|
adamc@623
|
78 (case Int.compare (xn', xn) of
|
adamc@623
|
79 EQUAL => #1 (liftKindInKind' by 0 rep)
|
adamc@623
|
80 | GREATER => KRel (xn' - 1)
|
adamc@623
|
81 | LESS => k)
|
adamc@623
|
82 | _ => k,
|
adamc@623
|
83 con = fn _ => fn c => c,
|
adamc@623
|
84 bind = fn ((by, xn), U.Con.RelK _) => (by+1, xn+1)
|
adamc@623
|
85 | (st, _) => st}
|
adamc@623
|
86
|
adamc@623
|
87 val liftKindInCon = liftKindInCon 1
|
adamc@623
|
88
|
adamc@623
|
89 fun subKindInCon (xn, rep) = subKindInCon' rep (0, xn)
|
adamc@623
|
90
|
adamc@516
|
91 fun liftConInCon by =
|
adamc@623
|
92 U.Con.mapB {kind = fn _ => fn k => k,
|
adamc@516
|
93 con = fn bound => fn c =>
|
adamc@516
|
94 case c of
|
adamc@516
|
95 CRel xn =>
|
adamc@516
|
96 if xn < bound then
|
adamc@516
|
97 c
|
adamc@516
|
98 else
|
adamc@516
|
99 CRel (xn + by)
|
adamc@516
|
100 (*| CUnif _ => raise SynUnif*)
|
adamc@516
|
101 | _ => c,
|
adamc@623
|
102 bind = fn (bound, U.Con.RelC _) => bound + 1
|
adamc@516
|
103 | (bound, _) => bound}
|
adamc@81
|
104
|
adamc@516
|
105 fun subConInCon' rep =
|
adamc@623
|
106 U.Con.mapB {kind = fn _ => fn k => k,
|
adamc@516
|
107 con = fn (by, xn) => fn c =>
|
adamc@516
|
108 case c of
|
adamc@516
|
109 CRel xn' =>
|
adamc@516
|
110 (case Int.compare (xn', xn) of
|
adamc@516
|
111 EQUAL => #1 (liftConInCon by 0 rep)
|
adamc@516
|
112 | GREATER => CRel (xn' - 1)
|
adamc@516
|
113 | LESS => c)
|
adamc@516
|
114 (*| CUnif _ => raise SynUnif*)
|
adamc@516
|
115 | _ => c,
|
adamc@623
|
116 bind = fn ((by, xn), U.Con.RelC _) => (by+1, xn+1)
|
adamc@81
|
117 | (ctx, _) => ctx}
|
adamc@81
|
118
|
adamc@516
|
119 val liftConInCon = liftConInCon 1
|
adamc@516
|
120
|
adamc@516
|
121 fun subConInCon (xn, rep) = subConInCon' rep (0, xn)
|
adamc@516
|
122
|
adamc@81
|
123 fun subStrInSgn (m1, m2) =
|
adamc@81
|
124 U.Sgn.map {kind = fn k => k,
|
adamc@81
|
125 con = fn c as CModProj (m1', ms, x) =>
|
adamc@81
|
126 if m1 = m1' then
|
adamc@81
|
127 CModProj (m2, ms, x)
|
adamc@81
|
128 else
|
adamc@81
|
129 c
|
adamc@81
|
130 | c => c,
|
adamc@81
|
131 sgn_item = fn sgi => sgi,
|
adamc@81
|
132 sgn = fn sgn => sgn}
|
adamc@81
|
133
|
adamc@905
|
134 val occurs =
|
adamc@905
|
135 U.Con.existsB {kind = fn _ => false,
|
adamc@905
|
136 con = fn (n, c) =>
|
adamc@905
|
137 case c of
|
adamc@905
|
138 CRel n' => n' = n
|
adamc@905
|
139 | _ => false,
|
adamc@905
|
140 bind = fn (n, b) =>
|
adamc@905
|
141 case b of
|
adamc@905
|
142 U.Con.RelC _ => n + 1
|
adamc@905
|
143 | _ => n}
|
adamc@905
|
144 0
|
adamc@905
|
145
|
adamc@81
|
146
|
adamc@81
|
147 fun hnormCon env (cAll as (c, loc)) =
|
adamc@81
|
148 case c of
|
adamc@81
|
149 CUnif (_, _, _, ref (SOME c)) => hnormCon env c
|
adamc@81
|
150
|
adamc@81
|
151 | CNamed xn =>
|
adamc@81
|
152 (case E.lookupCNamed env xn of
|
adamc@81
|
153 (_, _, SOME c') => hnormCon env c'
|
adamc@81
|
154 | _ => cAll)
|
adamc@81
|
155
|
adamc@81
|
156 | CModProj (n, ms, x) =>
|
adamc@81
|
157 let
|
adamc@81
|
158 val (_, sgn) = E.lookupStrNamed env n
|
adamc@81
|
159 val (str, sgn) = foldl (fn (m, (str, sgn)) =>
|
adamc@81
|
160 case E.projectStr env {sgn = sgn, str = str, field = m} of
|
adamc@81
|
161 NONE => raise Fail "hnormCon: Unknown substructure"
|
adamc@81
|
162 | SOME sgn => ((StrProj (str, m), loc), sgn))
|
adamc@81
|
163 ((StrVar n, loc), sgn) ms
|
adamc@81
|
164 in
|
adamc@81
|
165 case E.projectCon env {sgn = sgn, str = str, field = x} of
|
adamc@81
|
166 NONE => raise Fail "kindof: Unknown con in structure"
|
adamc@81
|
167 | SOME (_, NONE) => cAll
|
adamc@81
|
168 | SOME (_, SOME c) => hnormCon env c
|
adamc@81
|
169 end
|
adamc@81
|
170
|
adamc@905
|
171 (* Eta reduction *)
|
adamc@905
|
172 | CAbs (x, k, b) =>
|
adamc@905
|
173 (case #1 (hnormCon (E.pushCRel env x k) b) of
|
adamc@905
|
174 CApp (f, (CRel 0, _)) =>
|
adamc@905
|
175 if occurs f then
|
adamc@905
|
176 cAll
|
adamc@905
|
177 else
|
adamc@905
|
178 hnormCon env (subConInCon (0, (CUnit, loc)) f)
|
adamc@905
|
179 | _ => cAll)
|
adamc@905
|
180
|
adamc@81
|
181 | CApp (c1, c2) =>
|
adamc@81
|
182 (case #1 (hnormCon env c1) of
|
adamc@81
|
183 CAbs (x, k, cb) =>
|
adamc@81
|
184 let
|
adamc@81
|
185 val sc = (hnormCon env (subConInCon (0, c2) cb))
|
adamc@81
|
186 handle SynUnif => cAll
|
adamc@81
|
187 (*val env' = E.pushCRel env x k*)
|
adamc@81
|
188 in
|
adamc@328
|
189 (*Print.eprefaces "Subst" [("x", Print.PD.string x),
|
adamc@328
|
190 ("cb", ElabPrint.p_con env' cb),
|
adamc@328
|
191 ("c2", ElabPrint.p_con env c2),
|
adamc@328
|
192 ("sc", ElabPrint.p_con env sc)];*)
|
adamc@81
|
193 sc
|
adamc@81
|
194 end
|
adamc@621
|
195 | c1' as CApp (c', f) =>
|
adamc@326
|
196 let
|
adamc@326
|
197 fun default () = (CApp ((c1', loc), hnormCon env c2), loc)
|
adamc@326
|
198 in
|
adamc@326
|
199 case #1 (hnormCon env c') of
|
adamc@621
|
200 CMap (ks as (k1, k2)) =>
|
adamc@621
|
201 (case #1 (hnormCon env c2) of
|
adamc@621
|
202 CRecord (_, []) => (CRecord (k2, []), loc)
|
adamc@621
|
203 | CRecord (_, (x, c) :: rest) =>
|
adamc@621
|
204 hnormCon env
|
adamc@621
|
205 (CConcat ((CRecord (k2, [(x, (CApp (f, c), loc))]), loc),
|
adamc@621
|
206 (CApp (c1, (CRecord (k2, rest), loc)), loc)), loc)
|
adamc@621
|
207 | CConcat ((CRecord (k, (x, c) :: rest), _), rest') =>
|
adamc@621
|
208 let
|
adamc@621
|
209 val rest'' = (CConcat ((CRecord (k, rest), loc), rest'), loc)
|
adamc@621
|
210 in
|
adamc@621
|
211 hnormCon env
|
adamc@621
|
212 (CConcat ((CRecord (k2, [(x, (CApp (f, c), loc))]), loc),
|
adamc@621
|
213 (CApp (c1, rest''), loc)), loc)
|
adamc@621
|
214 end
|
adamc@621
|
215 | _ =>
|
adamc@621
|
216 let
|
adamc@621
|
217 fun unconstraint c =
|
adamc@621
|
218 case hnormCon env c of
|
adamc@628
|
219 (TDisjoint (_, _, c), _) => unconstraint c
|
adamc@621
|
220 | c => c
|
adamc@81
|
221
|
adamc@621
|
222 fun tryDistributivity () =
|
adamc@621
|
223 case hnormCon env c2 of
|
adamc@621
|
224 (CConcat (c1, c2'), _) =>
|
adamc@621
|
225 let
|
adamc@621
|
226 val c = (CMap ks, loc)
|
adamc@621
|
227 val c = (CApp (c, f), loc)
|
adamc@621
|
228
|
adamc@621
|
229 val c1 = (CApp (c, c1), loc)
|
adamc@621
|
230 val c2 = (CApp (c, c2'), loc)
|
adamc@621
|
231 val c = (CConcat (c1, c2), loc)
|
adamc@621
|
232 in
|
adamc@621
|
233 hnormCon env c
|
adamc@621
|
234 end
|
adamc@621
|
235 | _ => default ()
|
adamc@329
|
236
|
adamc@621
|
237 fun tryFusion () =
|
adamc@621
|
238 case #1 (hnormCon env c2) of
|
adamc@621
|
239 CApp (f', r') =>
|
adamc@621
|
240 (case #1 (hnormCon env f') of
|
adamc@621
|
241 CApp (f', inner_f) =>
|
adamc@621
|
242 (case #1 (hnormCon env f') of
|
adamc@621
|
243 CMap (dom, _) =>
|
adamc@621
|
244 let
|
adamc@621
|
245 val f' = (CApp (inner_f, (CRel 0, loc)), loc)
|
adamc@621
|
246 val f' = (CApp (f, f'), loc)
|
adamc@621
|
247 val f' = (CAbs ("v", dom, f'), loc)
|
adamc@329
|
248
|
adamc@621
|
249 val c = (CMap (dom, k2), loc)
|
adamc@621
|
250 val c = (CApp (c, f'), loc)
|
adamc@621
|
251 val c = (CApp (c, r'), loc)
|
adamc@621
|
252 in
|
adamc@621
|
253 hnormCon env c
|
adamc@621
|
254 end
|
adamc@621
|
255 | _ => tryDistributivity ())
|
adamc@621
|
256 | _ => tryDistributivity ())
|
adamc@621
|
257 | _ => tryDistributivity ()
|
adamc@339
|
258
|
adamc@621
|
259 fun tryIdentity () =
|
adamc@621
|
260 let
|
adamc@621
|
261 fun cunif () =
|
adamc@621
|
262 let
|
adamc@621
|
263 val r = ref NONE
|
adamc@621
|
264 in
|
adamc@621
|
265 (r, (CUnif (loc, (KType, loc), "_", r), loc))
|
adamc@621
|
266 end
|
adamc@621
|
267
|
adamc@621
|
268 val (vR, v) = cunif ()
|
adamc@494
|
269
|
adamc@621
|
270 val c = (CApp (f, v), loc)
|
adamc@621
|
271 in
|
adamc@621
|
272 case unconstraint c of
|
adamc@621
|
273 (CUnif (_, _, _, vR'), _) =>
|
adamc@621
|
274 if vR' = vR then
|
adamc@621
|
275 hnormCon env c2
|
adamc@621
|
276 else
|
adamc@621
|
277 tryFusion ()
|
adamc@621
|
278 | _ => tryFusion ()
|
adamc@621
|
279 end
|
adamc@621
|
280 in
|
adamc@621
|
281 tryIdentity ()
|
adamc@621
|
282 end)
|
adamc@326
|
283 | _ => default ()
|
adamc@326
|
284 end
|
adamc@326
|
285 | c1' => (CApp ((c1', loc), hnormCon env c2), loc))
|
adamc@623
|
286
|
adamc@623
|
287 | CKApp (c1, k) =>
|
adamc@623
|
288 (case hnormCon env c1 of
|
adamc@623
|
289 (CKAbs (_, body), _) => hnormCon env (subKindInCon (0, k) body)
|
adamc@623
|
290 | _ => cAll)
|
adamc@621
|
291
|
adamc@81
|
292 | CConcat (c1, c2) =>
|
adamc@81
|
293 (case (hnormCon env c1, hnormCon env c2) of
|
adamc@81
|
294 ((CRecord (k, xcs1), loc), (CRecord (_, xcs2), _)) =>
|
adamc@81
|
295 (CRecord (k, xcs1 @ xcs2), loc)
|
adamc@81
|
296 | ((CRecord (_, []), _), c2') => c2'
|
adamc@81
|
297 | ((CConcat (c11, c12), loc), c2') =>
|
adamc@81
|
298 hnormCon env (CConcat (c11, (CConcat (c12, c2'), loc)), loc)
|
adamc@209
|
299 | (c1', (CRecord (_, []), _)) => c1'
|
adamc@329
|
300 | (c1', c2') => (CConcat (c1', c2'), loc))
|
adamc@81
|
301
|
adamc@207
|
302 | CProj (c, n) =>
|
adamc@207
|
303 (case hnormCon env c of
|
adamc@207
|
304 (CTuple cs, _) => hnormCon env (List.nth (cs, n - 1))
|
adamc@207
|
305 | _ => cAll)
|
adamc@207
|
306
|
adamc@81
|
307 | _ => cAll
|
adamc@81
|
308
|
adamc@81
|
309 end
|