Backported test for posixpath.expanduser().
diff --git a/Lib/test/test_posixpath.py b/Lib/test/test_posixpath.py
index 686b6b9..fbb18fd 100644
--- a/Lib/test/test_posixpath.py
+++ b/Lib/test/test_posixpath.py
@@ -198,6 +198,12 @@
 
     def test_expanduser(self):
         self.assertEqual(posixpath.expanduser("foo"), "foo")
+        with test_support.EnvironmentVarGuard() as env:
+            for home in '/', '', '//', '///':
+                env['HOME'] = home
+                self.assertEqual(posixpath.expanduser("~"), "/")
+                self.assertEqual(posixpath.expanduser("~/"), "/")
+                self.assertEqual(posixpath.expanduser("~/foo"), "/foo")
         try:
             import pwd
         except ImportError:
@@ -214,9 +220,12 @@
             self.assertIsInstance(posixpath.expanduser("~foo/"), basestring)
 
             with test_support.EnvironmentVarGuard() as env:
-                env['HOME'] = '/'
-                self.assertEqual(posixpath.expanduser("~"), "/")
-                self.assertEqual(posixpath.expanduser("~/foo"), "/foo")
+                # expanduser should fall back to using the password database
+                del env['HOME']
+                home = pwd.getpwuid(os.getuid()).pw_dir
+                # $HOME can end with a trailing /, so strip it (see #17809)
+                home = home.rstrip("/") or '/'
+                self.assertEqual(posixpath.expanduser("~"), home)
 
     def test_normpath(self):
         self.assertEqual(posixpath.normpath(""), ".")