Fix usage of pytester with doctests (#6802)

Use `request.node.name` instead of `request.function.__name__`:
`request.function` is `None` with `DoctestItem`s.

changelog/6802.bugfix.rst

@@ -0,0 +1 @@
+The :fixture:`testdir fixture <testdir>` works within doctests now.

src/_pytest/pytester.py

@@ -543,7 +543,11 @@ class Testdir:
         self._mod_collections = (
             WeakKeyDictionary()
         )  # type: WeakKeyDictionary[Module, List[Union[Item, Collector]]]
-        name = request.function.__name__
+        if request.function:
+            name = request.function.__name__  # type: str
+        else:
+            name = request.node.name
+        self._name = name
         self.tmpdir = tmpdir_factory.mktemp(name, numbered=True)
         self.test_tmproot = tmpdir_factory.mktemp("tmp-" + name, numbered=True)
         self.plugins = []  # type: List[Union[str, _PluggyPlugin]]
@@ -617,7 +621,7 @@ class Testdir:
 
         if lines:
             source = "\n".join(to_text(x) for x in lines)
-            basename = self.request.function.__name__
+            basename = self._name
             items.insert(0, (basename, source))
 
         ret = None
@@ -720,7 +724,7 @@ class Testdir:
             example_dir = example_dir.join(*extra_element.args)
 
         if name is None:
-            func_name = self.request.function.__name__
+            func_name = self._name
             maybe_dir = example_dir / func_name
             maybe_file = example_dir / (func_name + ".py")
 
@@ -1059,7 +1063,7 @@ class Testdir:
             path = self.tmpdir.join(str(source))
             assert not withinit, "not supported for paths"
         else:
-            kw = {self.request.function.__name__: Source(source).strip()}
+            kw = {self._name: Source(source).strip()}
             path = self.makepyfile(**kw)
         if withinit:
             self.makepyfile(__init__="#")

testing/test_pytester.py

@@ -89,6 +89,29 @@ def test_testdir_runs_with_plugin(testdir) -> None:
     result.assert_outcomes(passed=1)
 
 
+def test_testdir_with_doctest(testdir):
+    """Check that testdir can be used within doctests.
+
+    It used to use `request.function`, which is `None` with doctests."""
+    testdir.makepyfile(
+        **{
+            "sub/t-doctest.py": """
+        '''
+        >>> import os
+        >>> testdir = getfixture("testdir")
+        >>> str(testdir.makepyfile("content")).replace(os.sep, '/')
+        '.../basetemp/sub.t-doctest0/sub.py'
+        '''
+    """,
+            "sub/__init__.py": "",
+        }
+    )
+    result = testdir.runpytest(
+        "-p", "pytester", "--doctest-modules", "sub/t-doctest.py"
+    )
+    assert result.ret == 0
+
+
 def test_runresult_assertion_on_xfail(testdir) -> None:
     testdir.makepyfile(
         """