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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 CoreUntangle :> CORE_UNTANGLE = struct
open Core
structure U = CoreUtil
structure E = CoreEnv
structure IS = IntBinarySet
structure IM = IntBinaryMap
fun default (k, s) = s
fun exp (e, s) =
case e of
ENamed n => IS.add (s, n)
| _ => s
fun untangle file =
let
val edefs = foldl (fn ((d, _), edefs) =>
case d of
DVal (_, n, _, e, _) => IM.insert (edefs, n, e)
| DValRec vis =>
foldl (fn ((_, n, _, e, _), edefs) =>
IM.insert (edefs, n, e)) edefs vis
| _ => edefs)
IM.empty file
fun decl (dAll as (d, loc)) =
case d of
DValRec vis =>
let
val thisGroup = foldl (fn ((_, n, _, _, _), thisGroup) =>
IS.add (thisGroup, n)) IS.empty vis
val expUsed = U.Exp.fold {con = default,
kind = default,
exp = exp} IS.empty
val used = foldl (fn ((_, n, _, e, _), used) =>
let
val usedHere = expUsed e
in
IM.insert (used, n, usedHere)
end)
IM.empty vis
fun expand used =
IS.foldl (fn (n, used) =>
case IM.find (edefs, n) of
NONE => used
| SOME e =>
let
val usedHere = expUsed e
in
if IS.isEmpty (IS.difference (usedHere, used)) then
used
else
expand (IS.union (usedHere, used))
end)
used used
val used = IM.map (fn s => IS.intersection (expand s, thisGroup)) used
fun p_graph reachable =
IM.appi (fn (n, reachableHere) =>
(print (Int.toString n);
print ":";
IS.app (fn n' => (print " ";
print (Int.toString n'))) reachableHere;
print "\n")) reachable
(*val () = print "used:\n"
val () = p_graph used*)
fun expand reachable =
let
val changed = ref false
val reachable =
IM.mapi (fn (n, reachableHere) =>
IS.foldl (fn (n', reachableHere) =>
let
val more = valOf (IM.find (reachable, n'))
in
if IS.isEmpty (IS.difference (more, reachableHere)) then
reachableHere
else
(changed := true;
IS.union (more, reachableHere))
end)
reachableHere reachableHere) reachable
in
(reachable, !changed)
end
fun iterate reachable =
let
val (reachable, changed) = expand reachable
in
if changed then
iterate reachable
else
reachable
end
val reachable = iterate used
(*val () = print "reachable:\n"
val () = p_graph reachable*)
fun sccs (nodes, acc) =
case IS.find (fn _ => true) nodes of
NONE => acc
| SOME rep =>
let
val reachableHere = valOf (IM.find (reachable, rep))
val (nodes, scc) = IS.foldl (fn (node, (nodes, scc)) =>
if node = rep then
(nodes, scc)
else
let
val reachableThere =
valOf (IM.find (reachable, node))
in
if IS.member (reachableThere, rep) then
(IS.delete (nodes, node),
IS.add (scc, node))
else
(nodes, scc)
end)
(IS.delete (nodes, rep), IS.singleton rep) reachableHere
in
sccs (nodes, scc :: acc)
end
val sccs = sccs (thisGroup, [])
(*val () = app (fn nodes => (print "SCC:";
IS.app (fn i => (print " ";
print (Int.toString i))) nodes;
print "\n")) sccs*)
fun depends nodes1 nodes2 =
let
val node1 = valOf (IS.find (fn _ => true) nodes1)
val node2 = valOf (IS.find (fn _ => true) nodes2)
val reachable1 = valOf (IM.find (reachable, node1))
in
IS.member (reachable1, node2)
end
fun findReady (sccs, passed) =
case sccs of
[] => raise Fail "Untangle: Unable to topologically sort 'val rec'"
| nodes :: sccs =>
if List.exists (depends nodes) passed
orelse List.exists (depends nodes) sccs then
findReady (sccs, nodes :: passed)
else
(nodes, List.revAppend (passed, sccs))
fun topo (sccs, acc) =
case sccs of
[] => rev acc
| _ =>
let
val (node, sccs) = findReady (sccs, [])
in
topo (sccs, node :: acc)
end
val sccs = topo (sccs, [])
(*val () = app (fn nodes => (print "SCC':";
IS.app (fn i => (print " ";
print (Int.toString i))) nodes;
print "\n")) sccs*)
fun isNonrec nodes =
case IS.find (fn _ => true) nodes of
NONE => NONE
| SOME node =>
let
val nodes = IS.delete (nodes, node)
val reachableHere = valOf (IM.find (reachable, node))
in
if IS.isEmpty nodes then
if IS.member (reachableHere, node) then
NONE
else
SOME node
else
NONE
end
val ds = map (fn nodes =>
case isNonrec nodes of
SOME node =>
let
val vi = valOf (List.find (fn (_, n, _, _, _) => n = node) vis)
in
(DVal vi, loc)
end
| NONE =>
(DValRec (List.filter (fn (_, n, _, _, _) => IS.member (nodes, n)) vis), loc))
sccs
in
ds
end
| _ => [dAll]
in
ListUtil.mapConcat decl file
end
end
|