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diff --git a/tests/test_ext_autodoc_autofunction.py b/tests/test_ext_autodoc_autofunction.py
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+++ b/tests/test_ext_autodoc_autofunction.py
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+"""Test the autodoc extension.
+
+This tests mainly the Documenters; the auto directives are tested in a test
+source file translated by test_build.
+"""
+
+import pytest
+
+from .test_ext_autodoc import do_autodoc
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_classes(app):
+    actual = do_autodoc(app, 'function', 'target.classes.Foo')
+    assert list(actual) == [
+        '',
+        '.. py:function:: Foo()',
+        '   :module: target.classes',
+        '',
+    ]
+
+    actual = do_autodoc(app, 'function', 'target.classes.Bar')
+    assert list(actual) == [
+        '',
+        '.. py:function:: Bar(x, y)',
+        '   :module: target.classes',
+        '',
+    ]
+
+    actual = do_autodoc(app, 'function', 'target.classes.Baz')
+    assert list(actual) == [
+        '',
+        '.. py:function:: Baz(x, y)',
+        '   :module: target.classes',
+        '',
+    ]
+
+    actual = do_autodoc(app, 'function', 'target.classes.Qux')
+    assert list(actual) == [
+        '',
+        '.. py:function:: Qux(foo, bar)',
+        '   :module: target.classes',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_callable(app):
+    actual = do_autodoc(app, 'function', 'target.callable.function')
+    assert list(actual) == [
+        '',
+        '.. py:function:: function(arg1, arg2, **kwargs)',
+        '   :module: target.callable',
+        '',
+        '   A callable object that behaves like a function.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_method(app):
+    actual = do_autodoc(app, 'function', 'target.callable.method')
+    assert list(actual) == [
+        '',
+        '.. py:function:: method(arg1, arg2)',
+        '   :module: target.callable',
+        '',
+        '   docstring of Callable.method().',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_builtin_function(app):
+    actual = do_autodoc(app, 'function', 'os.umask')
+    assert list(actual) == [
+        '',
+        '.. py:function:: umask(mask, /)',
+        '   :module: os',
+        '',
+        '   Set the current numeric umask and return the previous umask.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_methoddescriptor(app):
+    actual = do_autodoc(app, 'function', 'builtins.int.__add__')
+    assert list(actual) == [
+        '',
+        '.. py:function:: __add__(self, value, /)',
+        '   :module: builtins.int',
+        '',
+        '   Return self+value.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_decorated(app):
+    actual = do_autodoc(app, 'function', 'target.decorator.foo')
+    assert list(actual) == [
+        '',
+        '.. py:function:: foo(name=None, age=None)',
+        '   :module: target.decorator',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_singledispatch(app):
+    options = {}
+    actual = do_autodoc(app, 'function', 'target.singledispatch.func', options)
+    assert list(actual) == [
+        '',
+        '.. py:function:: func(arg, kwarg=None)',
+        '                 func(arg: float, kwarg=None)',
+        '                 func(arg: int, kwarg=None)',
+        '                 func(arg: str, kwarg=None)',
+        '                 func(arg: dict, kwarg=None)',
+        '   :module: target.singledispatch',
+        '',
+        '   A function for general use.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_cfunction(app):
+    actual = do_autodoc(app, 'function', 'time.asctime')
+    assert list(actual) == [
+        '',
+        '.. py:function:: asctime([tuple]) -> string',
+        '   :module: time',
+        '',
+        "   Convert a time tuple to a string, e.g. 'Sat Jun 06 16:26:11 1998'.",
+        '   When the time tuple is not present, current time as returned by localtime()',
+        '   is used.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_wrapped_function(app):
+    actual = do_autodoc(app, 'function', 'target.wrappedfunction.slow_function')
+    assert list(actual) == [
+        '',
+        '.. py:function:: slow_function(message, timeout)',
+        '   :module: target.wrappedfunction',
+        '',
+        '   This function is slow.',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_wrapped_function_contextmanager(app):
+    actual = do_autodoc(app, 'function', 'target.wrappedfunction.feeling_good')
+    assert list(actual) == [
+        '',
+        '.. py:function:: feeling_good(x: int, y: int) -> ~typing.Generator',
+        '   :module: target.wrappedfunction',
+        '',
+        "   You'll feel better in this context!",
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_coroutine(app):
+    actual = do_autodoc(app, 'function', 'target.functions.coroutinefunc')
+    assert list(actual) == [
+        '',
+        '.. py:function:: coroutinefunc()',
+        '   :module: target.functions',
+        '   :async:',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_synchronized_coroutine(app):
+    actual = do_autodoc(app, 'function', 'target.coroutine.sync_func')
+    assert list(actual) == [
+        '',
+        '.. py:function:: sync_func()',
+        '   :module: target.coroutine',
+        '',
+    ]
+
+
+@pytest.mark.sphinx('html', testroot='ext-autodoc')
+def test_async_generator(app):
+    actual = do_autodoc(app, 'function', 'target.functions.asyncgenerator')
+    assert list(actual) == [
+        '',
+        '.. py:function:: asyncgenerator()',
+        '   :module: target.functions',
+        '   :async:',
+        '',
+    ]