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Type inference
author Adam Chlipala <adamc@hcoop.net>
date Sat, 06 Dec 2008 12:01:12 -0500
parents 366676f7bc88
children 588b9d16b00a
rev   line source
adamc@448 1 (* Copyright (c) 2008, Adam Chlipala
adamc@448 2 * All rights reserved.
adamc@448 3 *
adamc@448 4 * Redistribution and use in source and binary forms, with or without
adamc@448 5 * modification, are permitted provided that the following conditions are met:
adamc@448 6 *
adamc@448 7 * - Redistributions of source code must retain the above copyright notice,
adamc@448 8 * this list of conditions and the following disclaimer.
adamc@448 9 * - Redistributions in binary form must reproduce the above copyright notice,
adamc@448 10 * this list of conditions and the following disclaimer in the documentation
adamc@448 11 * and/or other materials provided with the distribution.
adamc@448 12 * - The names of contributors may not be used to endorse or promote products
adamc@448 13 * derived from this software without specific prior written permission.
adamc@448 14 *
adamc@448 15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
adamc@448 16 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
adamc@448 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
adamc@448 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
adamc@448 19 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
adamc@448 20 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
adamc@448 21 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
adamc@448 22 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
adamc@448 23 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
adamc@448 24 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
adamc@448 25 * POSSIBILITY OF SUCH DAMAGE.
adamc@448 26 *)
adamc@448 27
adamc@448 28 (* Remove nested function definitions *)
adamc@448 29
adamc@448 30 structure Unnest :> UNNEST = struct
adamc@448 31
adamc@448 32 open Elab
adamc@448 33
adamc@448 34 structure E = ElabEnv
adamc@448 35 structure U = ElabUtil
adamc@448 36
adamc@448 37 structure IS = IntBinarySet
adamc@448 38
adamc@487 39 fun liftExpInExp by =
adamc@487 40 U.Exp.mapB {kind = fn k => k,
adamc@487 41 con = fn _ => fn c => c,
adamc@487 42 exp = fn bound => fn e =>
adamc@487 43 case e of
adamc@487 44 ERel xn =>
adamc@487 45 if xn < bound then
adamc@487 46 e
adamc@487 47 else
adamc@487 48 ERel (xn + by)
adamc@487 49 | _ => e,
adamc@487 50 bind = fn (bound, U.Exp.RelE _) => bound + 1
adamc@487 51 | (bound, _) => bound}
adamc@487 52
adamc@487 53 val subExpInExp =
adamc@487 54 U.Exp.mapB {kind = fn k => k,
adamc@487 55 con = fn _ => fn c => c,
adamc@487 56 exp = fn (xn, rep) => fn e =>
adamc@487 57 case e of
adamc@487 58 ERel xn' =>
adamc@487 59 if xn' = xn then
adamc@487 60 #1 rep
adamc@487 61 else
adamc@487 62 e
adamc@487 63 | _ => e,
adamc@487 64 bind = fn ((xn, rep), U.Exp.RelE _) => (xn+1, E.liftExpInExp 0 rep)
adamc@487 65 | ((xn, rep), U.Exp.RelC _) => (xn, E.liftConInExp 0 rep)
adamc@487 66 | (ctx, _) => ctx}
adamc@487 67
adamc@448 68 val fvsCon = U.Con.foldB {kind = fn (_, st) => st,
adamc@448 69 con = fn (cb, c, cvs) =>
adamc@448 70 case c of
adamc@448 71 CRel n =>
adamc@448 72 if n >= cb then
adamc@448 73 IS.add (cvs, n - cb)
adamc@448 74 else
adamc@448 75 cvs
adamc@448 76 | _ => cvs,
adamc@448 77 bind = fn (cb, b) =>
adamc@448 78 case b of
adamc@448 79 U.Con.Rel _ => cb + 1
adamc@448 80 | _ => cb}
adamc@448 81 0 IS.empty
adamc@448 82
adamc@448 83 fun fvsExp nr = U.Exp.foldB {kind = fn (_, st) => st,
adamc@448 84 con = fn ((cb, eb), c, st as (cvs, evs)) =>
adamc@448 85 case c of
adamc@448 86 CRel n =>
adamc@448 87 if n >= cb then
adamc@448 88 (IS.add (cvs, n - cb), evs)
adamc@448 89 else
adamc@448 90 st
adamc@448 91 | _ => st,
adamc@448 92 exp = fn ((cb, eb), e, st as (cvs, evs)) =>
adamc@448 93 case e of
adamc@448 94 ERel n =>
adamc@448 95 if n >= eb then
adamc@448 96 (cvs, IS.add (evs, n - eb))
adamc@448 97 else
adamc@448 98 st
adamc@448 99 | _ => st,
adamc@448 100 bind = fn (ctx as (cb, eb), b) =>
adamc@448 101 case b of
adamc@448 102 U.Exp.RelC _ => (cb + 1, eb)
adamc@448 103 | U.Exp.RelE _ => (cb, eb + 1)
adamc@448 104 | _ => ctx}
adamc@448 105 (0, nr) (IS.empty, IS.empty)
adamc@448 106
adamc@448 107 fun positionOf (x : int) ls =
adamc@448 108 let
adamc@448 109 fun po n ls =
adamc@448 110 case ls of
adamc@448 111 [] => raise Fail "Unnest.positionOf"
adamc@448 112 | x' :: ls' =>
adamc@448 113 if x' = x then
adamc@448 114 n
adamc@448 115 else
adamc@448 116 po (n + 1) ls'
adamc@448 117 in
adamc@448 118 po 0 ls
adamc@487 119 handle Fail _ => raise Fail ("Unnest.positionOf("
adamc@448 120 ^ Int.toString x
adamc@448 121 ^ ", "
adamc@448 122 ^ String.concatWith ";" (map Int.toString ls)
adamc@448 123 ^ ")")
adamc@448 124 end
adamc@448 125
adamc@448 126 fun squishCon cfv =
adamc@448 127 U.Con.mapB {kind = fn k => k,
adamc@448 128 con = fn cb => fn c =>
adamc@448 129 case c of
adamc@448 130 CRel n =>
adamc@448 131 if n >= cb then
adamc@448 132 CRel (positionOf (n - cb) cfv + cb)
adamc@448 133 else
adamc@448 134 c
adamc@448 135 | _ => c,
adamc@448 136 bind = fn (cb, b) =>
adamc@448 137 case b of
adamc@448 138 U.Con.Rel _ => cb + 1
adamc@448 139 | _ => cb}
adamc@448 140 0
adamc@448 141
adamc@448 142 fun squishExp (nr, cfv, efv) =
adamc@448 143 U.Exp.mapB {kind = fn k => k,
adamc@448 144 con = fn (cb, eb) => fn c =>
adamc@448 145 case c of
adamc@448 146 CRel n =>
adamc@448 147 if n >= cb then
adamc@448 148 CRel (positionOf (n - cb) cfv + cb)
adamc@448 149 else
adamc@448 150 c
adamc@448 151 | _ => c,
adamc@448 152 exp = fn (cb, eb) => fn e =>
adamc@448 153 case e of
adamc@448 154 ERel n =>
adamc@448 155 if n >= eb then
adamc@487 156 ERel (positionOf (n - eb) efv + eb - nr)
adamc@448 157 else
adamc@448 158 e
adamc@448 159 | _ => e,
adamc@448 160 bind = fn (ctx as (cb, eb), b) =>
adamc@448 161 case b of
adamc@448 162 U.Exp.RelC _ => (cb + 1, eb)
adamc@448 163 | U.Exp.RelE _ => (cb, eb + 1)
adamc@448 164 | _ => ctx}
adamc@448 165 (0, nr)
adamc@448 166
adamc@448 167 type state = {
adamc@448 168 maxName : int,
adamc@455 169 decls : (string * int * con * exp) list
adamc@448 170 }
adamc@448 171
adamc@448 172 fun kind (k, st) = (k, st)
adamc@448 173
adamc@453 174 fun exp ((ks, ts), e as old, st : state) =
adamc@448 175 case e of
adamc@448 176 ELet (eds, e) =>
adamc@448 177 let
adamc@487 178 (*val () = Print.prefaces "Letto" [("e", ElabPrint.p_exp E.empty (old, ErrorMsg.dummySpan))]*)
adamc@453 179
adamc@487 180 fun doSubst' (e, subs) = foldl (fn (p, e) => subExpInExp p e) e subs
adamc@448 181
adamc@487 182 fun doSubst (e, subs, by) =
adamc@487 183 let
adamc@487 184 val e = doSubst' (e, subs)
adamc@487 185 in
adamc@487 186 liftExpInExp (~by) (length subs) e
adamc@487 187 end
adamc@487 188
adamc@487 189 val (eds, (ts, maxName, ds, subs, by)) =
adamc@448 190 ListUtil.foldlMapConcat
adamc@487 191 (fn (ed, (ts, maxName, ds, subs, by)) =>
adamc@448 192 case #1 ed of
adamc@487 193 EDVal (x, t, e) =>
adamc@487 194 let
adamc@487 195 val e = doSubst (e, subs, by)
adamc@487 196 in
adamc@487 197 ([(EDVal (x, t, e), #2 ed)],
adamc@487 198 ((x, t) :: ts,
adamc@487 199 maxName, ds,
adamc@487 200 ((0, (ERel 0, #2 ed))
adamc@487 201 :: map (fn (n, e) => (n + 1, E.liftExpInExp 0 e)) subs),
adamc@487 202 by))
adamc@487 203 end
adamc@448 204 | EDValRec vis =>
adamc@448 205 let
adamc@448 206 val loc = #2 ed
adamc@448 207
adamc@448 208 val nr = length vis
adamc@490 209 val subsLocal = List.filter (fn (_, (ERel _, _)) => false
adamc@490 210 | _ => true) subs
adamc@490 211 val subsLocal = map (fn (n, e) => (n + nr, liftExpInExp nr 0 e))
adamc@490 212 subsLocal
adamc@490 213
adamc@490 214 val vis = map (fn (x, t, e) =>
adamc@490 215 (x, t, doSubst' (e, subsLocal))) vis
adamc@490 216
adamc@448 217 val (cfv, efv) = foldl (fn ((_, t, e), (cfv, efv)) =>
adamc@448 218 let
adamc@448 219 val (cfv', efv') = fvsExp nr e
adamc@448 220 (*val () = Print.prefaces "fvsExp"
adamc@448 221 [("e", ElabPrint.p_exp E.empty e),
adamc@448 222 ("cfv", Print.PD.string
adamc@448 223 (Int.toString (IS.numItems cfv'))),
adamc@448 224 ("efv", Print.PD.string
adamc@448 225 (Int.toString (IS.numItems efv')))]*)
adamc@448 226 val cfv'' = fvsCon t
adamc@448 227 in
adamc@448 228 (IS.union (cfv, IS.union (cfv', cfv'')),
adamc@448 229 IS.union (efv, efv'))
adamc@448 230 end)
adamc@448 231 (IS.empty, IS.empty) vis
adamc@448 232
adamc@453 233 (*val () = print ("A: " ^ Int.toString (length ts) ^ ", " ^ Int.toString (length ks) ^ "\n")
adamc@453 234 val () = app (fn (x, t) =>
adamc@453 235 Print.prefaces "Var" [("x", Print.PD.string x),
adamc@453 236 ("t", ElabPrint.p_con E.empty t)]) ts*)
adamc@487 237
adamc@448 238 val cfv = IS.foldl (fn (x, cfv) =>
adamc@448 239 let
adamc@448 240 (*val () = print (Int.toString x ^ "\n")*)
adamc@448 241 val (_, t) = List.nth (ts, x)
adamc@448 242 in
adamc@448 243 IS.union (cfv, fvsCon t)
adamc@448 244 end)
adamc@448 245 cfv efv
adamc@448 246 (*val () = print "B\n"*)
adamc@448 247
adamc@448 248 val (vis, maxName) =
adamc@448 249 ListUtil.foldlMap (fn ((x, t, e), maxName) =>
adamc@448 250 ((x, maxName, t, e),
adamc@448 251 maxName + 1))
adamc@448 252 maxName vis
adamc@448 253
adamc@487 254 val subs = map (fn (n, e) => (n + nr,
adamc@487 255 case e of
adamc@487 256 (ERel _, _) => e
adamc@487 257 | _ => liftExpInExp nr 0 e))
adamc@487 258 subs
adamc@487 259
adamc@448 260 val subs' = ListUtil.mapi (fn (i, (_, n, _, _)) =>
adamc@448 261 let
adamc@487 262 val e = (ENamed n, loc)
adamc@487 263
adamc@487 264 val e = IS.foldr (fn (x, e) =>
adamc@487 265 (ECApp (e, (CRel x, loc)), loc))
adamc@487 266 e cfv
adamc@487 267
adamc@487 268 val e = IS.foldr (fn (x, e) =>
adamc@487 269 (EApp (e, (ERel (nr + x), loc)),
adamc@487 270 loc))
adamc@487 271 e efv
adamc@448 272 in
adamc@487 273 (nr - i - 1, e)
adamc@448 274 end)
adamc@450 275 vis
adamc@450 276
adamc@448 277 val cfv = IS.listItems cfv
adamc@448 278 val efv = IS.listItems efv
adamc@448 279
adamc@487 280 val subs = subs' @ subs
adamc@448 281
adamc@448 282 val vis = map (fn (x, n, t, e) =>
adamc@448 283 let
adamc@448 284 (*val () = Print.prefaces "preSubst"
adamc@448 285 [("e", ElabPrint.p_exp E.empty e)]*)
adamc@490 286 val e = doSubst' (e, subs')
adamc@448 287
adamc@448 288 (*val () = Print.prefaces "squishCon"
adamc@448 289 [("t", ElabPrint.p_con E.empty t)]*)
adamc@448 290 val t = squishCon cfv t
adamc@448 291 (*val () = Print.prefaces "squishExp"
adamc@448 292 [("e", ElabPrint.p_exp E.empty e)]*)
adamc@487 293 val e = squishExp (nr, cfv, efv) e
adamc@448 294
adamc@487 295 (*val () = print ("Avail: " ^ Int.toString (length ts) ^ "\n")*)
adamc@453 296 val (e, t) = foldl (fn (ex, (e, t)) =>
adamc@448 297 let
adamc@487 298 (*val () = print (Int.toString ex ^ "\n")*)
adamc@448 299 val (name, t') = List.nth (ts, ex)
adamc@448 300 in
adamc@448 301 ((EAbs (name,
adamc@448 302 t',
adamc@448 303 t,
adamc@448 304 e), loc),
adamc@448 305 (TFun (t',
adamc@448 306 t), loc))
adamc@448 307 end)
adamc@448 308 (e, t) efv
adamc@487 309 (*val () = print "Done\n"*)
adamc@448 310
adamc@453 311 val (e, t) = foldl (fn (cx, (e, t)) =>
adamc@448 312 let
adamc@448 313 val (name, k) = List.nth (ks, cx)
adamc@448 314 in
adamc@448 315 ((ECAbs (Explicit,
adamc@448 316 name,
adamc@448 317 k,
adamc@448 318 e), loc),
adamc@448 319 (TCFun (Explicit,
adamc@448 320 name,
adamc@448 321 k,
adamc@448 322 t), loc))
adamc@448 323 end)
adamc@448 324 (e, t) cfv
adamc@448 325 in
adamc@487 326 (*Print.prefaces "Have a vi"
adamc@487 327 [("x", Print.PD.string x),
adamc@487 328 ("e", ElabPrint.p_exp ElabEnv.empty e)];*)
adamc@448 329 (x, n, t, e)
adamc@448 330 end)
adamc@448 331 vis
adamc@448 332
adamc@487 333 val ts = List.revAppend (map (fn (x, _, t, _) => (x, t)) vis, ts)
adamc@448 334 in
adamc@487 335 ([], (ts, maxName, vis @ ds, subs, by + nr))
adamc@448 336 end)
adamc@487 337 (ts, #maxName st, #decls st, [], 0) eds
adamc@487 338
adamc@487 339 val e' = doSubst (e, subs, by)
adamc@448 340 in
adamc@487 341 (*Print.prefaces "Before" [("e", ElabPrint.p_exp ElabEnv.empty e),
adamc@487 342 ("se", ElabPrint.p_exp ElabEnv.empty (doSubst' (e, subs))),
adamc@487 343 ("e'", ElabPrint.p_exp ElabEnv.empty e')];*)
adamc@487 344 (ELet (eds, e'),
adamc@448 345 {maxName = maxName,
adamc@448 346 decls = ds})
adamc@487 347 (*(ELet (eds, doSubst (liftExpInExp (~(length subs - numRemaining)) (length subs) e) subs),*)
adamc@448 348 end
adamc@448 349
adamc@448 350 | _ => (e, st)
adamc@448 351
adamc@448 352 fun default (ctx, d, st) = (d, st)
adamc@448 353
adamc@448 354 fun bind ((ks, ts), b) =
adamc@448 355 case b of
adamc@448 356 U.Decl.RelC p => (p :: ks, map (fn (name, t) => (name, E.liftConInCon 0 t)) ts)
adamc@448 357 | U.Decl.RelE p => (ks, p :: ts)
adamc@448 358 | _ => (ks, ts)
adamc@448 359
adamc@448 360 val unnestDecl = U.Decl.foldMapB {kind = kind,
adamc@448 361 con = default,
adamc@448 362 exp = exp,
adamc@448 363 sgn_item = default,
adamc@448 364 sgn = default,
adamc@448 365 str = default,
adamc@448 366 decl = default,
adamc@448 367 bind = bind}
adamc@448 368 ([], [])
adamc@448 369
adamc@448 370 fun unnest file =
adamc@448 371 let
adamc@448 372 fun doDecl (all as (d, loc), st : state) =
adamc@448 373 let
adamc@448 374 fun default () = ([all], st)
adamc@448 375 fun explore () =
adamc@448 376 let
adamc@448 377 val (d, st) = unnestDecl st all
adamc@455 378
adamc@455 379 val ds =
adamc@455 380 case #1 d of
adamc@455 381 DValRec vis => [(DValRec (vis @ #decls st), #2 d)]
adamc@455 382 | _ => [(DValRec (#decls st), #2 d), d]
adamc@448 383 in
adamc@455 384 (ds,
adamc@448 385 {maxName = #maxName st,
adamc@448 386 decls = []})
adamc@448 387 end
adamc@448 388 in
adamc@448 389 case d of
adamc@448 390 DCon _ => default ()
adamc@448 391 | DDatatype _ => default ()
adamc@448 392 | DDatatypeImp _ => default ()
adamc@448 393 | DVal _ => explore ()
adamc@448 394 | DValRec _ => explore ()
adamc@448 395 | DSgn _ => default ()
adamc@448 396 | DStr (x, n, sgn, str) =>
adamc@448 397 let
adamc@448 398 val (str, st) = doStr (str, st)
adamc@448 399 in
adamc@448 400 ([(DStr (x, n, sgn, str), loc)], st)
adamc@448 401 end
adamc@448 402 | DFfiStr _ => default ()
adamc@448 403 | DConstraint _ => default ()
adamc@448 404 | DExport _ => default ()
adamc@448 405 | DTable _ => default ()
adamc@448 406 | DSequence _ => default ()
adamc@448 407 | DClass _ => default ()
adamc@448 408 | DDatabase _ => default ()
adamc@459 409 | DCookie _ => default ()
adamc@448 410 end
adamc@448 411
adamc@448 412 and doStr (all as (str, loc), st) =
adamc@448 413 let
adamc@448 414 fun default () = (all, st)
adamc@448 415 in
adamc@448 416 case str of
adamc@448 417 StrConst ds =>
adamc@448 418 let
adamc@448 419 val (ds, st) = ListUtil.foldlMapConcat doDecl st ds
adamc@448 420 in
adamc@448 421 ((StrConst ds, loc), st)
adamc@448 422 end
adamc@448 423 | StrVar _ => default ()
adamc@448 424 | StrProj _ => default ()
adamc@448 425 | StrFun (x, n, dom, ran, str) =>
adamc@448 426 let
adamc@448 427 val (str, st) = doStr (str, st)
adamc@448 428 in
adamc@448 429 ((StrFun (x, n, dom, ran, str), loc), st)
adamc@448 430 end
adamc@448 431 | StrApp _ => default ()
adamc@448 432 | StrError => raise Fail "Unnest: StrError"
adamc@448 433 end
adamc@448 434
adamc@448 435 val (ds, _) = ListUtil.foldlMapConcat doDecl
adamc@448 436 {maxName = U.File.maxName file + 1,
adamc@448 437 decls = []} file
adamc@448 438 in
adamc@448 439 ds
adamc@448 440 end
adamc@448 441
adamc@448 442 end