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Monad type class seems to be working
author Adam Chlipala <adamc@hcoop.net>
date Fri, 19 Dec 2008 10:27:58 -0500
parents 6ee1c761818f
children 8998114760c1
rev   line source
adamc@82 1 (* Copyright (c) 2008, Adam Chlipala
adamc@82 2 * All rights reserved.
adamc@82 3 *
adamc@82 4 * Redistribution and use in source and binary forms, with or without
adamc@82 5 * modification, are permitted provided that the following conditions are met:
adamc@82 6 *
adamc@82 7 * - Redistributions of source code must retain the above copyright notice,
adamc@82 8 * this list of conditions and the following disclaimer.
adamc@82 9 * - Redistributions in binary form must reproduce the above copyright notice,
adamc@82 10 * this list of conditions and the following disclaimer in the documentation
adamc@82 11 * and/or other materials provided with the distribution.
adamc@82 12 * - The names of contributors may not be used to endorse or promote products
adamc@82 13 * derived from this software without specific prior written permission.
adamc@82 14 *
adamc@82 15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
adamc@82 16 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
adamc@82 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
adamc@82 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
adamc@82 19 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
adamc@82 20 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
adamc@82 21 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
adamc@82 22 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
adamc@82 23 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
adamc@82 24 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
adamc@82 25 * POSSIBILITY OF SUCH DAMAGE.
adamc@82 26 *)
adamc@82 27
adamc@82 28 structure Disjoint :> DISJOINT = struct
adamc@82 29
adamc@82 30 open Elab
adamc@82 31 open ElabOps
adamc@82 32
adamc@207 33 datatype piece_fst =
adamc@82 34 NameC of string
adamc@82 35 | NameR of int
adamc@82 36 | NameN of int
adamc@88 37 | NameM of int * string list * string
adamc@82 38 | RowR of int
adamc@82 39 | RowN of int
adamc@88 40 | RowM of int * string list * string
adamc@88 41
adamc@207 42 type piece = piece_fst * int list
adamc@207 43
adamc@88 44 fun p2s p =
adamc@88 45 case p of
adamc@88 46 NameC s => "NameC(" ^ s ^ ")"
adamc@88 47 | NameR n => "NameR(" ^ Int.toString n ^ ")"
adamc@88 48 | NameN n => "NameN(" ^ Int.toString n ^ ")"
adamc@88 49 | NameM (n, _, s) => "NameR(" ^ Int.toString n ^ ", " ^ s ^ ")"
adamc@88 50 | RowR n => "RowR(" ^ Int.toString n ^ ")"
adamc@88 51 | RowN n => "RowN(" ^ Int.toString n ^ ")"
adamc@88 52 | RowM (n, _, s) => "RowR(" ^ Int.toString n ^ ", " ^ s ^ ")"
adamc@88 53
adamc@88 54 fun pp p = print (p2s p ^ "\n")
adamc@88 55
adamc@478 56 fun rp2s (p, ns) = String.concatWith " " (p2s p :: map Int.toString ns)
adamc@478 57
adamc@88 58 structure PK = struct
adamc@88 59
adamc@88 60 type ord_key = piece
adamc@88 61
adamc@207 62 open Order
adamc@88 63
adamc@207 64 fun compare' (p1, p2) =
adamc@88 65 case (p1, p2) of
adamc@88 66 (NameC s1, NameC s2) => String.compare (s1, s2)
adamc@88 67 | (NameR n1, NameR n2) => Int.compare (n1, n2)
adamc@88 68 | (NameN n1, NameN n2) => Int.compare (n1, n2)
adamc@88 69 | (NameM (n1, ss1, s1), NameM (n2, ss2, s2)) =>
adamc@88 70 join (Int.compare (n1, n2),
adamc@88 71 fn () => join (String.compare (s1, s2), fn () =>
adamc@88 72 joinL String.compare (ss1, ss2)))
adamc@88 73 | (RowR n1, RowR n2) => Int.compare (n1, n2)
adamc@88 74 | (RowN n1, RowN n2) => Int.compare (n1, n2)
adamc@88 75 | (RowM (n1, ss1, s1), RowM (n2, ss2, s2)) =>
adamc@88 76 join (Int.compare (n1, n2),
adamc@88 77 fn () => join (String.compare (s1, s2), fn () =>
adamc@88 78 joinL String.compare (ss1, ss2)))
adamc@88 79
adamc@88 80 | (NameC _, _) => LESS
adamc@88 81 | (_, NameC _) => GREATER
adamc@88 82
adamc@88 83 | (NameR _, _) => LESS
adamc@88 84 | (_, NameR _) => GREATER
adamc@88 85
adamc@88 86 | (NameN _, _) => LESS
adamc@88 87 | (_, NameN _) => GREATER
adamc@88 88
adamc@88 89 | (NameM _, _) => LESS
adamc@88 90 | (_, NameM _) => GREATER
adamc@88 91
adamc@88 92 | (RowR _, _) => LESS
adamc@88 93 | (_, RowR _) => GREATER
adamc@88 94
adamc@88 95 | (RowN _, _) => LESS
adamc@88 96 | (_, RowN _) => GREATER
adamc@88 97
adamc@207 98 fun compare ((p1, ns1), (p2, ns2)) =
adamc@207 99 join (compare' (p1, p2),
adamc@207 100 fn () => joinL Int.compare (ns1, ns2))
adamc@207 101
adamc@88 102 end
adamc@88 103
adamc@88 104 structure PS = BinarySetFn(PK)
adamc@88 105 structure PM = BinaryMapFn(PK)
adamc@88 106
adamc@88 107 type env = PS.set PM.map
adamc@88 108
adamc@478 109 fun p_env x =
adamc@478 110 (print "\nDENV:\n";
adamc@478 111 PM.appi (fn (p1, ps) =>
adamc@478 112 PS.app (fn p2 =>
adamc@478 113 print (rp2s p1 ^ " ~ " ^ rp2s p2 ^ "\n")) ps) x)
adamc@478 114
adamc@251 115 structure E = ElabEnv
adamc@251 116
adamc@251 117 type goal = ErrorMsg.span * E.env * env * Elab.con * Elab.con
adamc@90 118
adamc@88 119 val empty = PM.empty
adamc@82 120
adamc@82 121 fun nameToRow (c, loc) =
adamc@82 122 (CRecord ((KUnit, loc), [((c, loc), (CUnit, loc))]), loc)
adamc@82 123
adamc@207 124 fun pieceToRow' (p, loc) =
adamc@82 125 case p of
adamc@82 126 NameC s => nameToRow (CName s, loc)
adamc@82 127 | NameR n => nameToRow (CRel n, loc)
adamc@82 128 | NameN n => nameToRow (CNamed n, loc)
adamc@88 129 | NameM (n, xs, x) => nameToRow (CModProj (n, xs, x), loc)
adamc@82 130 | RowR n => (CRel n, loc)
adamc@88 131 | RowN n => (CNamed n, loc)
adamc@88 132 | RowM (n, xs, x) => (CModProj (n, xs, x), loc)
adamc@88 133
adamc@207 134 fun pieceToRow ((p, ns), loc) =
adamc@207 135 foldl (fn (n, c) => (CProj (c, n), loc)) (pieceToRow' (p, loc)) ns
adamc@207 136
adamc@88 137 datatype piece' =
adamc@88 138 Piece of piece
adamc@88 139 | Unknown of con
adamc@82 140
adamc@207 141 fun pieceEnter' p =
adamc@88 142 case p of
adamc@88 143 NameR n => NameR (n + 1)
adamc@88 144 | RowR n => RowR (n + 1)
adamc@88 145 | _ => p
adamc@82 146
adamc@207 147 fun pieceEnter (p, n) = (pieceEnter' p, n)
adamc@207 148
adamc@88 149 fun enter denv =
adamc@88 150 PM.foldli (fn (p, pset, denv') =>
adamc@88 151 PM.insert (denv', pieceEnter p, PS.map pieceEnter pset))
adamc@88 152 PM.empty denv
adamc@82 153
adamc@335 154 val lowercase = CharVector.map Char.toLower
adamc@335 155
adamc@82 156 fun prove1 denv (p1, p2) =
adamc@82 157 case (p1, p2) of
adamc@335 158 ((NameC s1, _), (NameC s2, _)) => lowercase s1 <> lowercase s2
adamc@88 159 | _ =>
adamc@88 160 case PM.find (denv, p1) of
adamc@88 161 NONE => false
adamc@88 162 | SOME pset => PS.member (pset, p2)
adamc@82 163
adamc@90 164 fun decomposeRow (env, denv) c =
adamc@82 165 let
adamc@251 166 val loc = #2 c
adamc@251 167
adamc@207 168 fun decomposeProj c =
adamc@207 169 let
adamc@207 170 val (c, gs) = hnormCon (env, denv) c
adamc@207 171 in
adamc@207 172 case #1 c of
adamc@207 173 CProj (c, n) =>
adamc@207 174 let
adamc@207 175 val (c', ns, gs') = decomposeProj c
adamc@207 176 in
adamc@207 177 (c', ns @ [n], gs @ gs')
adamc@207 178 end
adamc@207 179 | _ => (c, [], gs)
adamc@207 180 end
adamc@207 181
adamc@90 182 fun decomposeName (c, (acc, gs)) =
adamc@90 183 let
adamc@207 184 val (cAll as (c, _), ns, gs') = decomposeProj c
adamc@90 185
adamc@90 186 val acc = case c of
adamc@207 187 CName s => Piece (NameC s, ns) :: acc
adamc@207 188 | CRel n => Piece (NameR n, ns) :: acc
adamc@207 189 | CNamed n => Piece (NameN n, ns) :: acc
adamc@207 190 | CModProj (m1, ms, x) => Piece (NameM (m1, ms, x), ns) :: acc
adamc@90 191 | _ => Unknown cAll :: acc
adamc@90 192 in
adamc@90 193 (acc, gs' @ gs)
adamc@90 194 end
adamc@90 195
adamc@251 196 fun decomposeRow' (c, (acc, gs)) =
adamc@90 197 let
adamc@251 198 fun default () =
adamc@251 199 let
adamc@251 200 val (cAll as (c, _), ns, gs') = decomposeProj c
adamc@251 201 val gs = gs' @ gs
adamc@251 202 in
adamc@251 203 case c of
adamc@251 204 CRecord (_, xcs) => foldl (fn ((x, _), acc_gs) => decomposeName (x, acc_gs)) (acc, gs) xcs
adamc@251 205 | CConcat (c1, c2) => decomposeRow' (c1, decomposeRow' (c2, (acc, gs)))
adamc@251 206 | CRel n => (Piece (RowR n, ns) :: acc, gs)
adamc@251 207 | CNamed n => (Piece (RowN n, ns) :: acc, gs)
adamc@251 208 | CModProj (m1, ms, x) => (Piece (RowM (m1, ms, x), ns) :: acc, gs)
adamc@251 209 | _ => (Unknown cAll :: acc, gs)
adamc@251 210 end
adamc@90 211 in
adamc@326 212 (*Print.prefaces "decomposeRow'" [("c", ElabPrint.p_con env c),
adamc@326 213 ("c'", ElabPrint.p_con env (#1 (hnormCon (env, denv) c)))];*)
adamc@251 214 case #1 (#1 (hnormCon (env, denv) c)) of
adamc@251 215 CApp (
adamc@251 216 (CApp (
adamc@251 217 (CApp ((CFold (dom, ran), _), f), _),
adamc@251 218 i), _),
adamc@251 219 r) =>
adamc@251 220 let
adamc@251 221 val (env', nm) = E.pushCNamed env "nm" (KName, loc) NONE
adamc@251 222 val (env', v) = E.pushCNamed env' "v" dom NONE
adamc@251 223 val (env', st) = E.pushCNamed env' "st" ran NONE
adamc@251 224
adamc@251 225 val (denv', gs') = assert env' denv ((CRecord (dom, [((CNamed nm, loc),
adamc@251 226 (CUnit, loc))]), loc),
adamc@251 227 (CNamed st, loc))
adamc@251 228
adamc@251 229 val c' = (CApp (f, (CNamed nm, loc)), loc)
adamc@251 230 val c' = (CApp (c', (CNamed v, loc)), loc)
adamc@251 231 val c' = (CApp (c', (CNamed st, loc)), loc)
adamc@251 232 val (ps, gs'') = decomposeRow (env', denv') c'
adamc@251 233
adamc@251 234 fun covered p =
adamc@251 235 case p of
adamc@251 236 Unknown _ => false
adamc@251 237 | Piece p =>
adamc@251 238 case p of
adamc@251 239 (NameN n, []) => n = nm
adamc@251 240 | (RowN n, []) => n = st
adamc@251 241 | _ => false
adamc@251 242
adamc@251 243 val ps = List.filter (not o covered) ps
adamc@251 244 in
adamc@251 245 decomposeRow' (i, decomposeRow' (r, (ps @ acc, gs'' @ gs' @ gs)))
adamc@251 246 end
adamc@251 247 | _ => default ()
adamc@90 248 end
adamc@90 249 in
adamc@251 250 decomposeRow' (c, ([], []))
adamc@90 251 end
adamc@90 252
adamc@90 253 and assert env denv (c1, c2) =
adamc@90 254 let
adamc@90 255 val (ps1, gs1) = decomposeRow (env, denv) c1
adamc@90 256 val (ps2, gs2) = decomposeRow (env, denv) c2
adamc@90 257
adamc@90 258 val unUnknown = List.mapPartial (fn Unknown _ => NONE | Piece p => SOME p)
adamc@90 259 val ps1 = unUnknown ps1
adamc@90 260 val ps2 = unUnknown ps2
adamc@90 261
adamc@90 262 (*val () = print "APieces1:\n"
adamc@90 263 val () = app pp ps1
adamc@90 264 val () = print "APieces2:\n"
adamc@90 265 val () = app pp ps2*)
adamc@90 266
adamc@90 267 fun assertPiece ps (p, denv) =
adamc@90 268 let
adamc@90 269 val pset = Option.getOpt (PM.find (denv, p), PS.empty)
adamc@90 270 val ps = case p of
adamc@207 271 (NameC _, _) => List.filter (fn (NameC _, _) => false | _ => true) ps
adamc@90 272 | _ => ps
adamc@90 273 val pset = PS.addList (pset, ps)
adamc@90 274 in
adamc@90 275 PM.insert (denv, p, pset)
adamc@90 276 end
adamc@90 277
adamc@90 278 val denv = foldl (assertPiece ps2) denv ps1
adamc@90 279 in
adamc@90 280 (foldl (assertPiece ps1) denv ps2, gs1 @ gs2)
adamc@90 281 end
adamc@90 282
adamc@90 283 and prove env denv (c1, c2, loc) =
adamc@90 284 let
adamc@90 285 val (ps1, gs1) = decomposeRow (env, denv) c1
adamc@90 286 val (ps2, gs2) = decomposeRow (env, denv) c2
adamc@82 287
adamc@88 288 val hasUnknown = List.exists (fn Unknown _ => true | _ => false)
adamc@88 289 val unUnknown = List.mapPartial (fn Unknown _ => NONE | Piece p => SOME p)
adamc@82 290 in
adamc@82 291 if hasUnknown ps1 orelse hasUnknown ps2 then
adamc@90 292 [(loc, env, denv, c1, c2)]
adamc@82 293 else
adamc@88 294 let
adamc@88 295 val ps1 = unUnknown ps1
adamc@88 296 val ps2 = unUnknown ps2
adamc@88 297
adamc@88 298 in
adamc@88 299 (*print "Pieces1:\n";
adamc@88 300 app pp ps1;
adamc@88 301 print "Pieces2:\n";
adamc@88 302 app pp ps2;*)
adamc@88 303
adamc@88 304 foldl (fn (p1, rem) =>
adamc@88 305 foldl (fn (p2, rem) =>
adamc@88 306 if prove1 denv (p1, p2) then
adamc@88 307 rem
adamc@88 308 else
adamc@90 309 (loc, env, denv, pieceToRow (p1, loc), pieceToRow (p2, loc)) :: rem) rem ps2)
adamc@90 310 (gs1 @ gs2) ps1
adamc@88 311 end
adamc@82 312 end
adamc@82 313
adamc@90 314 and hnormCon (env, denv) c =
adamc@90 315 let
adamc@90 316 val cAll as (c, loc) = ElabOps.hnormCon env c
adamc@90 317
adamc@90 318 fun doDisj (c1, c2, c) =
adamc@90 319 let
adamc@90 320 val (c, gs) = hnormCon (env, denv) c
adamc@90 321 in
adamc@90 322 (c, prove env denv (c1, c2, loc) @ gs)
adamc@90 323 end
adamc@90 324 in
adamc@90 325 case c of
adamc@345 326 CDisjoint (Instantiate, c1, c2, c) => doDisj (c1, c2, c)
adamc@90 327 | _ => (cAll, [])
adamc@90 328 end
adamc@90 329
adamc@82 330 end