bpo-38473: Handle autospecced functions and methods used with attach_mock (GH-16784)

diff --git a/Lib/unittest/test/testmock/testmock.py b/Lib/unittest/test/testmock/testmock.py
index 01bc479..1030d12 100644
--- a/Lib/unittest/test/testmock/testmock.py
+++ b/Lib/unittest/test/testmock/testmock.py
@@ -1922,6 +1922,35 @@
             self.assertEqual(mock_func.mock._extract_mock_name(), 'mock.child')
 
 
+    def test_attach_mock_patch_autospec_signature(self):
+        with mock.patch(f'{__name__}.Something.meth', autospec=True) as mocked:
+            manager = Mock()
+            manager.attach_mock(mocked, 'attach_meth')
+            obj = Something()
+            obj.meth(1, 2, 3, d=4)
+            manager.assert_has_calls([call.attach_meth(mock.ANY, 1, 2, 3, d=4)])
+            obj.meth.assert_has_calls([call(mock.ANY, 1, 2, 3, d=4)])
+            mocked.assert_has_calls([call(mock.ANY, 1, 2, 3, d=4)])
+
+        with mock.patch(f'{__name__}.something', autospec=True) as mocked:
+            manager = Mock()
+            manager.attach_mock(mocked, 'attach_func')
+            something(1)
+            manager.assert_has_calls([call.attach_func(1)])
+            something.assert_has_calls([call(1)])
+            mocked.assert_has_calls([call(1)])
+
+        with mock.patch(f'{__name__}.Something', autospec=True) as mocked:
+            manager = Mock()
+            manager.attach_mock(mocked, 'attach_obj')
+            obj = Something()
+            obj.meth(1, 2, 3, d=4)
+            manager.assert_has_calls([call.attach_obj(),
+                                      call.attach_obj().meth(1, 2, 3, d=4)])
+            obj.meth.assert_has_calls([call(1, 2, 3, d=4)])
+            mocked.assert_has_calls([call(), call().meth(1, 2, 3, d=4)])
+
+
     def test_attribute_deletion(self):
         for mock in (Mock(), MagicMock(), NonCallableMagicMock(),
                      NonCallableMock()):