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(* Copyright (c) 2008, Adam Chlipala
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* - Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
* - The names of contributors may not be used to endorse or promote products
* derived from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*)
structure Disjoint :> DISJOINT = struct
open Elab
open ElabOps
datatype piece_fst =
NameC of string
| NameR of int
| NameN of int
| NameM of int * string list * string
| RowR of int
| RowN of int
| RowM of int * string list * string
type piece = piece_fst * int list
fun p2s p =
case p of
NameC s => "NameC(" ^ s ^ ")"
| NameR n => "NameR(" ^ Int.toString n ^ ")"
| NameN n => "NameN(" ^ Int.toString n ^ ")"
| NameM (n, _, s) => "NameR(" ^ Int.toString n ^ ", " ^ s ^ ")"
| RowR n => "RowR(" ^ Int.toString n ^ ")"
| RowN n => "RowN(" ^ Int.toString n ^ ")"
| RowM (n, _, s) => "RowR(" ^ Int.toString n ^ ", " ^ s ^ ")"
fun pp p = print (p2s p ^ "\n")
structure PK = struct
type ord_key = piece
open Order
fun compare' (p1, p2) =
case (p1, p2) of
(NameC s1, NameC s2) => String.compare (s1, s2)
| (NameR n1, NameR n2) => Int.compare (n1, n2)
| (NameN n1, NameN n2) => Int.compare (n1, n2)
| (NameM (n1, ss1, s1), NameM (n2, ss2, s2)) =>
join (Int.compare (n1, n2),
fn () => join (String.compare (s1, s2), fn () =>
joinL String.compare (ss1, ss2)))
| (RowR n1, RowR n2) => Int.compare (n1, n2)
| (RowN n1, RowN n2) => Int.compare (n1, n2)
| (RowM (n1, ss1, s1), RowM (n2, ss2, s2)) =>
join (Int.compare (n1, n2),
fn () => join (String.compare (s1, s2), fn () =>
joinL String.compare (ss1, ss2)))
| (NameC _, _) => LESS
| (_, NameC _) => GREATER
| (NameR _, _) => LESS
| (_, NameR _) => GREATER
| (NameN _, _) => LESS
| (_, NameN _) => GREATER
| (NameM _, _) => LESS
| (_, NameM _) => GREATER
| (RowR _, _) => LESS
| (_, RowR _) => GREATER
| (RowN _, _) => LESS
| (_, RowN _) => GREATER
fun compare ((p1, ns1), (p2, ns2)) =
join (compare' (p1, p2),
fn () => joinL Int.compare (ns1, ns2))
end
structure PS = BinarySetFn(PK)
structure PM = BinaryMapFn(PK)
type env = PS.set PM.map
structure E = ElabEnv
type goal = ErrorMsg.span * E.env * env * Elab.con * Elab.con
val empty = PM.empty
fun nameToRow (c, loc) =
(CRecord ((KUnit, loc), [((c, loc), (CUnit, loc))]), loc)
fun pieceToRow' (p, loc) =
case p of
NameC s => nameToRow (CName s, loc)
| NameR n => nameToRow (CRel n, loc)
| NameN n => nameToRow (CNamed n, loc)
| NameM (n, xs, x) => nameToRow (CModProj (n, xs, x), loc)
| RowR n => (CRel n, loc)
| RowN n => (CNamed n, loc)
| RowM (n, xs, x) => (CModProj (n, xs, x), loc)
fun pieceToRow ((p, ns), loc) =
foldl (fn (n, c) => (CProj (c, n), loc)) (pieceToRow' (p, loc)) ns
datatype piece' =
Piece of piece
| Unknown of con
fun pieceEnter' p =
case p of
NameR n => NameR (n + 1)
| RowR n => RowR (n + 1)
| _ => p
fun pieceEnter (p, n) = (pieceEnter' p, n)
fun enter denv =
PM.foldli (fn (p, pset, denv') =>
PM.insert (denv', pieceEnter p, PS.map pieceEnter pset))
PM.empty denv
fun prove1 denv (p1, p2) =
case (p1, p2) of
((NameC s1, _), (NameC s2, _)) => s1 <> s2
| _ =>
case PM.find (denv, p1) of
NONE => false
| SOME pset => PS.member (pset, p2)
fun decomposeRow (env, denv) c =
let
val loc = #2 c
fun decomposeProj c =
let
val (c, gs) = hnormCon (env, denv) c
in
case #1 c of
CProj (c, n) =>
let
val (c', ns, gs') = decomposeProj c
in
(c', ns @ [n], gs @ gs')
end
| _ => (c, [], gs)
end
fun decomposeName (c, (acc, gs)) =
let
val (cAll as (c, _), ns, gs') = decomposeProj c
val acc = case c of
CName s => Piece (NameC s, ns) :: acc
| CRel n => Piece (NameR n, ns) :: acc
| CNamed n => Piece (NameN n, ns) :: acc
| CModProj (m1, ms, x) => Piece (NameM (m1, ms, x), ns) :: acc
| _ => Unknown cAll :: acc
in
(acc, gs' @ gs)
end
fun decomposeRow' (c, (acc, gs)) =
let
fun default () =
let
val (cAll as (c, _), ns, gs') = decomposeProj c
val gs = gs' @ gs
in
case c of
CRecord (_, xcs) => foldl (fn ((x, _), acc_gs) => decomposeName (x, acc_gs)) (acc, gs) xcs
| CConcat (c1, c2) => decomposeRow' (c1, decomposeRow' (c2, (acc, gs)))
| CRel n => (Piece (RowR n, ns) :: acc, gs)
| CNamed n => (Piece (RowN n, ns) :: acc, gs)
| CModProj (m1, ms, x) => (Piece (RowM (m1, ms, x), ns) :: acc, gs)
| _ => (Unknown cAll :: acc, gs)
end
in
(*Print.prefaces "decomposeRow'" [("c", ElabPrint.p_con env c),
("c'", ElabPrint.p_con env (#1 (hnormCon (env, denv) c)))];*)
case #1 (#1 (hnormCon (env, denv) c)) of
CApp (
(CApp (
(CApp ((CFold (dom, ran), _), f), _),
i), _),
r) =>
let
val (env', nm) = E.pushCNamed env "nm" (KName, loc) NONE
val (env', v) = E.pushCNamed env' "v" dom NONE
val (env', st) = E.pushCNamed env' "st" ran NONE
val (denv', gs') = assert env' denv ((CRecord (dom, [((CNamed nm, loc),
(CUnit, loc))]), loc),
(CNamed st, loc))
val c' = (CApp (f, (CNamed nm, loc)), loc)
val c' = (CApp (c', (CNamed v, loc)), loc)
val c' = (CApp (c', (CNamed st, loc)), loc)
val (ps, gs'') = decomposeRow (env', denv') c'
fun covered p =
case p of
Unknown _ => false
| Piece p =>
case p of
(NameN n, []) => n = nm
| (RowN n, []) => n = st
| _ => false
val ps = List.filter (not o covered) ps
in
decomposeRow' (i, decomposeRow' (r, (ps @ acc, gs'' @ gs' @ gs)))
end
| _ => default ()
end
in
decomposeRow' (c, ([], []))
end
and assert env denv (c1, c2) =
let
val (ps1, gs1) = decomposeRow (env, denv) c1
val (ps2, gs2) = decomposeRow (env, denv) c2
val unUnknown = List.mapPartial (fn Unknown _ => NONE | Piece p => SOME p)
val ps1 = unUnknown ps1
val ps2 = unUnknown ps2
(*val () = print "APieces1:\n"
val () = app pp ps1
val () = print "APieces2:\n"
val () = app pp ps2*)
fun assertPiece ps (p, denv) =
let
val pset = Option.getOpt (PM.find (denv, p), PS.empty)
val ps = case p of
(NameC _, _) => List.filter (fn (NameC _, _) => false | _ => true) ps
| _ => ps
val pset = PS.addList (pset, ps)
in
PM.insert (denv, p, pset)
end
val denv = foldl (assertPiece ps2) denv ps1
in
(foldl (assertPiece ps1) denv ps2, gs1 @ gs2)
end
and prove env denv (c1, c2, loc) =
let
val (ps1, gs1) = decomposeRow (env, denv) c1
val (ps2, gs2) = decomposeRow (env, denv) c2
val hasUnknown = List.exists (fn Unknown _ => true | _ => false)
val unUnknown = List.mapPartial (fn Unknown _ => NONE | Piece p => SOME p)
in
if hasUnknown ps1 orelse hasUnknown ps2 then
[(loc, env, denv, c1, c2)]
else
let
val ps1 = unUnknown ps1
val ps2 = unUnknown ps2
in
(*print "Pieces1:\n";
app pp ps1;
print "Pieces2:\n";
app pp ps2;*)
foldl (fn (p1, rem) =>
foldl (fn (p2, rem) =>
if prove1 denv (p1, p2) then
rem
else
(loc, env, denv, pieceToRow (p1, loc), pieceToRow (p2, loc)) :: rem) rem ps2)
(gs1 @ gs2) ps1
end
end
and hnormCon (env, denv) c =
let
val cAll as (c, loc) = ElabOps.hnormCon env c
fun doDisj (c1, c2, c) =
let
val (c, gs) = hnormCon (env, denv) c
in
(c, prove env denv (c1, c2, loc) @ gs)
end
in
case c of
CDisjoint cs => doDisj cs
| TDisjoint cs => doDisj cs
| _ => (cAll, [])
end
end
|
