diff --git a/tenacity/__init__.py b/tenacity/__init__.py
index 8330b1a..3360eca 100644
--- a/tenacity/__init__.py
+++ b/tenacity/__init__.py
@@ -315,17 +315,17 @@ class BaseRetrying(object):
 
         is_explicit_retry = retry_state.outcome.failed \
             and isinstance(retry_state.outcome.exception(), TryAgain)
-        if not (is_explicit_retry or self.retry(retry_state)):
+        if not (is_explicit_retry or self.retry(retry_state=retry_state)):
             return fut.result()
 
         if self.after is not None:
-            self.after(retry_state)
+            self.after(retry_state=retry_state)
 
         self.statistics['delay_since_first_attempt'] = \
             retry_state.seconds_since_start
-        if self.stop(retry_state):
+        if self.stop(retry_state=retry_state):
             if self.retry_error_callback:
-                return self.retry_error_callback(retry_state)
+                return self.retry_error_callback(retry_state=retry_state)
             retry_exc = self.retry_error_cls(fut)
             if self.reraise:
                 raise retry_exc.reraise()
diff --git a/tenacity/compat.py b/tenacity/compat.py
index 1af334c..2d3e301 100644
--- a/tenacity/compat.py
+++ b/tenacity/compat.py
@@ -16,6 +16,13 @@ def warn_about_non_retry_state_deprecation(cbname, func, stacklevel):
     warn(msg, DeprecationWarning, stacklevel=stacklevel + 1)
 
 
+def warn_about_dunder_non_retry_state_deprecation(fn, stacklevel):
+    msg = (
+        '"%s" method must be called with'
+        ' single "retry_state" parameter' % (_utils.get_callback_name(fn)))
+    warn(msg, DeprecationWarning, stacklevel=stacklevel + 1)
+
+
 def func_takes_retry_state(func):
     if not six.callable(func):
         return False
@@ -29,6 +36,23 @@ def func_takes_retry_state(func):
 _unset = object()
 
 
+def _make_unset_exception(func_name, **kwargs):
+    missing = []
+    for k, v in kwargs.iteritems():
+        if v is _unset:
+            missing.append(k)
+    missing_str = ', '.join(repr(s) for s in missing)
+    return TypeError(func_name + ' func missing parameters: ' + missing_str)
+
+
+def _set_delay_since_start(retry_state, delay):
+    # Ensure outcome_timestamp - start_time is *exactly* equal to the delay to
+    # avoid complexity in test code.
+    retry_state.start_time = Fraction(retry_state.start_time)
+    retry_state.outcome_timestamp = (retry_state.start_time + Fraction(delay))
+    assert retry_state.seconds_since_start == delay
+
+
 def make_retry_state(previous_attempt_number, delay_since_first_attempt,
                      last_result=None):
     """Construct RetryCallState for given attempt number & delay.
@@ -38,13 +62,10 @@ def make_retry_state(previous_attempt_number, delay_since_first_attempt,
     required_parameter_unset = (previous_attempt_number is _unset or
                                 delay_since_first_attempt is _unset)
     if required_parameter_unset:
-        missing = []
-        if previous_attempt_number is _unset:
-            missing.append('previous_attempt_number')
-        if delay_since_first_attempt is _unset:
-            missing.append('delay_since_first_attempt')
-        missing_str = ', '.join(repr(s) for s in missing)
-        raise TypeError('wait func missing parameters: ' + missing_str)
+        raise _make_unset_exception(
+            'wait/stop',
+            previous_attempt_number=previous_attempt_number,
+            delay_since_first_attempt=delay_since_first_attempt)
 
     from tenacity import RetryCallState
     retry_state = RetryCallState(None, None, (), {})
@@ -53,35 +74,10 @@ def make_retry_state(previous_attempt_number, delay_since_first_attempt,
         retry_state.outcome = last_result
     else:
         retry_state.set_result(None)
-    # Ensure outcome_timestamp - start_time is *exactly* equal to the delay to
-    # avoid complexity in test code.
-    retry_state.start_time = Fraction(retry_state.start_time)
-    retry_state.outcome_timestamp = (
-        retry_state.start_time + Fraction(delay_since_first_attempt))
-    assert retry_state.seconds_since_start == delay_since_first_attempt
+    _set_delay_since_start(retry_state, delay_since_first_attempt)
     return retry_state
 
 
-def wait_dunder_call_accept_old_params(fn):
-    """Wrap wait fn taking "retry_state" to accept old parameter tuple.
-
-    This is a backward compatibility shim to ensure tests keep working.
-    """
-    @_utils.wraps(fn)
-    def new_fn(self,
-               previous_attempt_number=_unset,
-               delay_since_first_attempt=_unset,
-               last_result=None,
-               retry_state=None):
-        if retry_state is None:
-            retry_state = make_retry_state(
-                previous_attempt_number=previous_attempt_number,
-                delay_since_first_attempt=delay_since_first_attempt,
-                last_result=last_result)
-        return fn(self, retry_state=retry_state)
-    return new_fn
-
-
 def func_takes_last_result(waiter):
     """Check if function has a "last_result" parameter.
 
@@ -97,6 +93,29 @@ def func_takes_last_result(waiter):
     return 'last_result' in waiter_spec.args
 
 
+def stop_dunder_call_accept_old_params(fn):
+    """Decorate cls.__call__ method to accept old "stop" signature."""
+    @_utils.wraps(fn)
+    def new_fn(self,
+               previous_attempt_number=_unset,
+               delay_since_first_attempt=_unset,
+               retry_state=None):
+        if retry_state is None:
+            from tenacity import RetryCallState
+            retry_state_passed_as_non_kwarg = (
+                previous_attempt_number is not _unset and
+                isinstance(previous_attempt_number, RetryCallState))
+            if retry_state_passed_as_non_kwarg:
+                retry_state = previous_attempt_number
+            else:
+                warn_about_dunder_non_retry_state_deprecation(fn, stacklevel=2)
+                retry_state = make_retry_state(
+                    previous_attempt_number=previous_attempt_number,
+                    delay_since_first_attempt=delay_since_first_attempt)
+        return fn(self, retry_state=retry_state)
+    return new_fn
+
+
 def stop_func_accept_retry_state(stop_func):
     """Wrap "stop" function to accept "retry_state" parameter."""
     if not six.callable(stop_func):
@@ -116,6 +135,31 @@ def stop_func_accept_retry_state(stop_func):
     return wrapped_stop_func
 
 
+def wait_dunder_call_accept_old_params(fn):
+    """Decorate cls.__call__ method to accept old "wait" signature."""
+    @_utils.wraps(fn)
+    def new_fn(self,
+               previous_attempt_number=_unset,
+               delay_since_first_attempt=_unset,
+               last_result=None,
+               retry_state=None):
+        if retry_state is None:
+            from tenacity import RetryCallState
+            retry_state_passed_as_non_kwarg = (
+                previous_attempt_number is not _unset and
+                isinstance(previous_attempt_number, RetryCallState))
+            if retry_state_passed_as_non_kwarg:
+                retry_state = previous_attempt_number
+            else:
+                warn_about_dunder_non_retry_state_deprecation(fn, stacklevel=2)
+                retry_state = make_retry_state(
+                    previous_attempt_number=previous_attempt_number,
+                    delay_since_first_attempt=delay_since_first_attempt,
+                    last_result=last_result)
+        return fn(self, retry_state=retry_state)
+    return new_fn
+
+
 def wait_func_accept_retry_state(wait_func):
     """Wrap wait function to accept "retry_state" parameter."""
     if not six.callable(wait_func):
@@ -146,6 +190,27 @@ def wait_func_accept_retry_state(wait_func):
     return wrapped_wait_func
 
 
+def retry_dunder_call_accept_old_params(fn):
+    """Decorate cls.__call__ method to accept old "retry" signature."""
+    @_utils.wraps(fn)
+    def new_fn(self, attempt=_unset, retry_state=None):
+        if retry_state is None:
+            from tenacity import RetryCallState
+            if attempt is _unset:
+                raise _make_unset_exception('retry', attempt=attempt)
+            retry_state_passed_as_non_kwarg = (
+                attempt is not _unset and
+                isinstance(attempt, RetryCallState))
+            if retry_state_passed_as_non_kwarg:
+                retry_state = attempt
+            else:
+                warn_about_dunder_non_retry_state_deprecation(fn, stacklevel=2)
+                retry_state = RetryCallState(None, None, (), {})
+                retry_state.outcome = attempt
+        return fn(self, retry_state=retry_state)
+    return new_fn
+
+
 def retry_func_accept_retry_state(retry_func):
     """Wrap "retry" function to accept "retry_state" parameter."""
     if not six.callable(retry_func):
diff --git a/tenacity/retry.py b/tenacity/retry.py
index 4bb5d6b..8e4fab3 100644
--- a/tenacity/retry.py
+++ b/tenacity/retry.py
@@ -63,6 +63,7 @@ class retry_if_exception(retry_base):
     def __init__(self, predicate):
         self.predicate = predicate
 
+    @_compat.retry_dunder_call_accept_old_params
     def __call__(self, retry_state):
         if retry_state.outcome.failed:
             return self.predicate(retry_state.outcome.exception())
@@ -85,6 +86,7 @@ class retry_unless_exception_type(retry_if_exception):
         super(retry_unless_exception_type, self).__init__(
             lambda e: not isinstance(e, exception_types))
 
+    @_compat.retry_dunder_call_accept_old_params
     def __call__(self, retry_state):
         # always retry if no exception was raised
         if not retry_state.outcome.failed:
@@ -98,6 +100,7 @@ class retry_if_result(retry_base):
     def __init__(self, predicate):
         self.predicate = predicate
 
+    @_compat.retry_dunder_call_accept_old_params
     def __call__(self, retry_state):
         if not retry_state.outcome.failed:
             return self.predicate(retry_state.outcome.result())
@@ -109,6 +112,7 @@ class retry_if_not_result(retry_base):
     def __init__(self, predicate):
         self.predicate = predicate
 
+    @_compat.retry_dunder_call_accept_old_params
     def __call__(self, retry_state):
         if not retry_state.outcome.failed:
             return not self.predicate(retry_state.outcome.result())
@@ -152,6 +156,7 @@ class retry_if_not_exception_message(retry_if_exception_message):
         self.predicate = lambda *args_, **kwargs_: not if_predicate(
             *args_, **kwargs_)
 
+    @_compat.retry_dunder_call_accept_old_params
     def __call__(self, retry_state):
         if not retry_state.outcome.failed:
             return True
@@ -165,6 +170,7 @@ class retry_any(retry_base):
         self.retries = tuple(_compat.retry_func_accept_retry_state(r)
                              for r in retries)
 
+    @_compat.retry_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return any(r(retry_state) for r in self.retries)
 
@@ -176,5 +182,6 @@ class retry_all(retry_base):
         self.retries = tuple(_compat.retry_func_accept_retry_state(r)
                              for r in retries)
 
+    @_compat.retry_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return all(r(retry_state) for r in self.retries)
diff --git a/tenacity/stop.py b/tenacity/stop.py
index 8fe683f..b587409 100644
--- a/tenacity/stop.py
+++ b/tenacity/stop.py
@@ -42,6 +42,7 @@ class stop_any(stop_base):
         self.stops = tuple(_compat.stop_func_accept_retry_state(stop_func)
                            for stop_func in stops)
 
+    @_compat.stop_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return any(x(retry_state) for x in self.stops)
 
@@ -53,6 +54,7 @@ class stop_all(stop_base):
         self.stops = tuple(_compat.stop_func_accept_retry_state(stop_func)
                            for stop_func in stops)
 
+    @_compat.stop_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return all(x(retry_state) for x in self.stops)
 
@@ -60,6 +62,7 @@ class stop_all(stop_base):
 class _stop_never(stop_base):
     """Never stop."""
 
+    @_compat.stop_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return False
 
@@ -73,6 +76,7 @@ class stop_when_event_set(stop_base):
     def __init__(self, event):
         self.event = event
 
+    @_compat.stop_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return self.event.is_set()
 
@@ -83,6 +87,7 @@ class stop_after_attempt(stop_base):
     def __init__(self, max_attempt_number):
         self.max_attempt_number = max_attempt_number
 
+    @_compat.stop_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return retry_state.attempt_number >= self.max_attempt_number
 
@@ -93,5 +98,6 @@ class stop_after_delay(stop_base):
     def __init__(self, max_delay):
         self.max_delay = max_delay
 
+    @_compat.stop_dunder_call_accept_old_params
     def __call__(self, retry_state):
         return retry_state.seconds_since_start >= self.max_delay

diff --git a/tenacity/tests/test_tenacity.py b/tenacity/tests/test_tenacity.py
index 5fb0e1e..847e1d7 100644
--- a/tenacity/tests/test_tenacity.py
+++ b/tenacity/tests/test_tenacity.py
@@ -116,6 +116,23 @@ class TestStopConditions(unittest.TestCase):
         with reports_deprecation_warning():
             self.assertTrue(r.stop(make_retry_state(101, 101)))
 
+    def test_retry_child_class_with_override_backward_compat(self):
+
+        class MyStop(tenacity.stop_after_attempt):
+            def __init__(self):
+                super(MyStop, self).__init__(1)
+
+            def __call__(self, attempt_number, seconds_since_start):
+                return super(MyStop, self).__call__(
+                    attempt_number, seconds_since_start)
+        retrying = Retrying(wait=tenacity.wait_fixed(0.01),
+                            stop=MyStop())
+
+        def failing():
+            raise NotImplementedError()
+        with pytest.raises(RetryError):
+            retrying.call(failing)
+
     def test_stop_func_with_retry_state(self):
         def stop_func(retry_state):
             rs = retry_state
@@ -963,6 +980,25 @@ class TestDecoratorWrapper(unittest.TestCase):
         h = retrying.wraps(Hello())
         self.assertEqual(h(), "Hello")
 
+    def test_retry_child_class_with_override_backward_compat(self):
+        def always_true(_):
+            return True
+
+        class MyRetry(tenacity.retry_if_exception):
+            def __init__(self):
+                super(MyRetry, self).__init__(always_true)
+
+            def __call__(self, attempt):
+                return super(MyRetry, self).__call__(attempt)
+        retrying = Retrying(wait=tenacity.wait_fixed(0.01),
+                            stop=tenacity.stop_after_attempt(1),
+                            retry=MyRetry())
+
+        def failing():
+            raise NotImplementedError()
+        with pytest.raises(RetryError):
+            retrying.call(failing)
+
 
 class TestBeforeAfterAttempts(unittest.TestCase):
     _attempt_number = 0

tenacity 5.0.0 breaks compat
```
gabbi.suitemaker.test_gabbi_resource_create_archive_policy.test_request
-----------------------------------------------------------------------
Captured traceback:
~~~~~~~~~~~~~~~~~~~
    Traceback (most recent call last):
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/gabbi/suite.py", line 52, in run
        with fixture.nest([fix() for fix in fixtures]):
      File "/usr/lib/python2.7/contextlib.py", line 17, in __enter__
        return self.gen.next()
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/gabbi/fixture.py", line 100, in nest
        six.reraise(exc[0], exc[1], exc[2])
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/gabbi/fixture.py", line 86, in nest
        contexts.append(enter_func())
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/gabbi/fixture.py", line 45, in __enter__
        self.start_fixture()
      File "gnocchi/tests/functional/fixtures.py", line 168, in start_fixture
        index = indexer.get_driver(conf)
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/tenacity/__init__.py", line 292, in wrapped_f
        return self.call(f, *args, **kw)
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/tenacity/__init__.py", line 358, in call
        do = self.iter(retry_state=retry_state)
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/tenacity/__init__.py", line 318, in iter
        if not (is_explicit_retry or self.retry(retry_state)):
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/tenacity/compat.py", line 161, in wrapped_retry_func
        return retry_func(retry_state.outcome)
      File "gnocchi/utils.py", line 354, in __call__
        return super(_retry_on_exception_and_log, self).__call__(attempt)
      File "/home/tester/src/.tox/py27-mysql/local/lib/python2.7/site-packages/tenacity/retry.py", line 67, in __call__
        if retry_state.outcome.failed:
    AttributeError: 'Future' object has no attribute 'outcome'
```

I've deleted the release from PyPI for the time being
tenacity/tests/test_tenacity.py::TestStopConditions::test_retry_child_class_with_override_backward_compat tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_child_class_with_override_backward_compat
tenacity/tests/test_tenacity.py::TestBase::test_repr tenacity/tests/test_tenacity.py::TestStopConditions::test_legacy_explicit_stop_type tenacity/tests/test_tenacity.py::TestStopConditions::test_never_stop tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_after_attempt tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_after_delay tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_all tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_and tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_any tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_backward_compat tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_func_with_retry_state tenacity/tests/test_tenacity.py::TestStopConditions::test_stop_or tenacity/tests/test_tenacity.py::TestWaitConditions::test_exponential tenacity/tests/test_tenacity.py::TestWaitConditions::test_exponential_with_max_wait tenacity/tests/test_tenacity.py::TestWaitConditions::test_exponential_with_max_wait_and_multiplier tenacity/tests/test_tenacity.py::TestWaitConditions::test_fixed_sleep tenacity/tests/test_tenacity.py::TestWaitConditions::test_incrementing_sleep tenacity/tests/test_tenacity.py::TestWaitConditions::test_legacy_explicit_wait_type tenacity/tests/test_tenacity.py::TestWaitConditions::test_no_sleep tenacity/tests/test_tenacity.py::TestWaitConditions::test_random_sleep tenacity/tests/test_tenacity.py::TestWaitConditions::test_random_sleep_without_min tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_arbitrary_sum tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_backward_compat tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_backward_compat_with_result tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_chain tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_chain_multiple_invocations tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_class_backward_compatibility tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_combine tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_double_sum tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_func tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_random_exponential tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_random_exponential_statistically tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_retry_state_attributes tenacity/tests/test_tenacity.py::TestWaitConditions::test_wait_triple_sum tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_all tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_and tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_any tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_if_exception_message_negative_no_inputs tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_if_exception_message_negative_too_many_inputs tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_if_not_result tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_if_result tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_or tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_try_again tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_try_again_forever tenacity/tests/test_tenacity.py::TestRetryConditions::test_retry_try_again_forever_reraise tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_defaults tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_function_object tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_if_exception_message tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_if_exception_message_match tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_if_exception_of_type tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_if_not_exception_message tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_if_not_exception_message_delay tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_if_not_exception_message_match tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_until_exception_of_type_attempt_number tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_until_exception_of_type_no_type tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_until_exception_of_type_wrong_exception tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_retry_with tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_with_stop_on_exception tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_with_stop_on_return_value tenacity/tests/test_tenacity.py::TestDecoratorWrapper::test_with_wait tenacity/tests/test_tenacity.py::TestBeforeAfterAttempts::test_after_attempts tenacity/tests/test_tenacity.py::TestBeforeAfterAttempts::test_before_attempts tenacity/tests/test_tenacity.py::TestBeforeAfterAttempts::test_before_sleep tenacity/tests/test_tenacity.py::TestBeforeAfterAttempts::test_before_sleep_backward_compat tenacity/tests/test_tenacity.py::TestBeforeAfterAttempts::test_before_sleep_log_raises tenacity/tests/test_tenacity.py::TestBeforeAfterAttempts::test_before_sleep_log_returns tenacity/tests/test_tenacity.py::TestReraiseExceptions::test_reraise_by_default tenacity/tests/test_tenacity.py::TestReraiseExceptions::test_reraise_from_retry_error tenacity/tests/test_tenacity.py::TestReraiseExceptions::test_reraise_no_exception tenacity/tests/test_tenacity.py::TestReraiseExceptions::test_reraise_timeout_from_retry_error tenacity/tests/test_tenacity.py::TestStatistics::test_stats tenacity/tests/test_tenacity.py::TestStatistics::test_stats_failing tenacity/tests/test_tenacity.py::TestRetryErrorCallback::test_retry_error_callback tenacity/tests/test_tenacity.py::TestRetryErrorCallback::test_retry_error_callback_backward_compat