diff --git a/mercurial/similar.py b/mercurial/similar.py
--- a/mercurial/similar.py
+++ b/mercurial/similar.py
@@ -101,19 +101,18 @@ def findrenames(repo, added, removed, th
     # Zero length files will be frequently unrelated to each other, and
     # tracking the deletion/addition of such a file will probably cause more
     # harm than good. We strip them out here to avoid matching them later on.
-    addedfiles = set([workingctx[fp] for fp in added
-            if workingctx[fp].size() > 0])
-    removedfiles = set([parentctx[fp] for fp in removed
-            if fp in parentctx and parentctx[fp].size() > 0])
+    addedfiles = [workingctx[fp] for fp in sorted(added)
+                  if workingctx[fp].size() > 0]
+    removedfiles = [parentctx[fp] for fp in sorted(removed)
+                    if fp in parentctx and parentctx[fp].size() > 0]
 
     # Find exact matches.
-    for (a, b) in _findexactmatches(repo,
-            sorted(addedfiles), sorted(removedfiles)):
+    for (a, b) in _findexactmatches(repo, addedfiles[:], removedfiles):
         addedfiles.remove(b)
         yield (a.path(), b.path(), 1.0)
 
     # If the user requested similar files to be matched, search for them also.
     if threshold < 1.0:
-        for (a, b, score) in _findsimilarmatches(repo,
-                sorted(addedfiles), sorted(removedfiles), threshold):
+        for (a, b, score) in _findsimilarmatches(repo, addedfiles,
+                                                 removedfiles, threshold):
             yield (a.path(), b.path(), score)
diff --git a/tests/test-addremove-similar.t b/tests/test-addremove-similar.t
--- a/tests/test-addremove-similar.t
+++ b/tests/test-addremove-similar.t
@@ -55,6 +55,78 @@ comparing two empty files caused ZeroDiv
 
   $ hg commit -m B
 
+should be sorted by path for stable result
+
+  $ for i in `python $TESTDIR/seq.py 0 9`; do
+  >     cp small-file $i
+  > done
+  $ rm small-file
+  $ hg addremove
+  adding 0
+  adding 1
+  adding 2
+  adding 3
+  adding 4
+  adding 5
+  adding 6
+  adding 7
+  adding 8
+  adding 9
+  removing small-file
+  recording removal of small-file as rename to 0 (100% similar)
+  recording removal of small-file as rename to 1 (100% similar)
+  recording removal of small-file as rename to 2 (100% similar)
+  recording removal of small-file as rename to 3 (100% similar)
+  recording removal of small-file as rename to 4 (100% similar)
+  recording removal of small-file as rename to 5 (100% similar)
+  recording removal of small-file as rename to 6 (100% similar)
+  recording removal of small-file as rename to 7 (100% similar)
+  recording removal of small-file as rename to 8 (100% similar)
+  recording removal of small-file as rename to 9 (100% similar)
+  $ hg commit -m '10 same files'
+
+pick one from many identical files
+
+  $ cp 0 a
+  $ rm `python $TESTDIR/seq.py 0 9`
+  $ hg addremove
+  removing 0
+  removing 1
+  removing 2
+  removing 3
+  removing 4
+  removing 5
+  removing 6
+  removing 7
+  removing 8
+  removing 9
+  adding a
+  recording removal of 9 as rename to a (100% similar)
+  $ hg revert -aq
+
+pick one from many similar files
+
+  $ cp 0 a
+  $ for i in `python $TESTDIR/seq.py 0 9`; do
+  >     echo $i >> $i
+  > done
+  $ hg commit -m 'make them slightly different'
+  $ rm `python $TESTDIR/seq.py 0 9`
+  $ hg addremove -s50
+  removing 0
+  removing 1
+  removing 2
+  removing 3
+  removing 4
+  removing 5
+  removing 6
+  removing 7
+  removing 8
+  removing 9
+  adding a
+  recording removal of 9 as rename to a (99% similar)
+  $ hg commit -m 'always the same file should be selected'
+
 should all fail
 
   $ hg addremove -s foo