gh-115256: Remove refcycles from tarfile writing (GH-115257)

Lib/tarfile.py

@@ -872,7 +872,7 @@ class TarInfo(object):
         pax_headers = ('A dictionary containing key-value pairs of an '
                        'associated pax extended header.'),
         sparse = 'Sparse member information.',
-        tarfile = None,
+        _tarfile = None,
         _sparse_structs = None,
         _link_target = None,
         )
@@ -901,6 +901,24 @@ class TarInfo(object):
         self.sparse = None      # sparse member information
         self.pax_headers = {}   # pax header information
 
+    @property
+    def tarfile(self):
+        import warnings
+        warnings.warn(
+            'The undocumented "tarfile" attribute of TarInfo objects '
+            + 'is deprecated and will be removed in Python 3.16',
+            DeprecationWarning, stacklevel=2)
+        return self._tarfile
+
+    @tarfile.setter
+    def tarfile(self, tarfile):
+        import warnings
+        warnings.warn(
+            'The undocumented "tarfile" attribute of TarInfo objects '
+            + 'is deprecated and will be removed in Python 3.16',
+            DeprecationWarning, stacklevel=2)
+        self._tarfile = tarfile
+
     @property
     def path(self):
         'In pax headers, "name" is called "path".'
@@ -2030,7 +2048,7 @@ class TarFile(object):
         # Now, fill the TarInfo object with
         # information specific for the file.
         tarinfo = self.tarinfo()
-        tarinfo.tarfile = self  # Not needed
+        tarinfo._tarfile = self  # To be removed in 3.16.
 
         # Use os.stat or os.lstat, depending on if symlinks shall be resolved.
         if fileobj is None: