@@ -1900,6 +1900,7 @@ def test_single_init_extension_compat(self):
19001900
19011901    @unittest .skipIf (_testmultiphase  is  None , "test requires _testmultiphase module" ) 
19021902    def  test_multi_init_extension_compat (self ):
1903+         # Module with Py_MOD_PER_INTERPRETER_GIL_SUPPORTED 
19031904        module  =  '_testmultiphase' 
19041905        require_extension (module )
19051906        with  self .subTest (f'{ module }  ):
@@ -1911,6 +1912,8 @@ def test_multi_init_extension_compat(self):
19111912
19121913    @unittest .skipIf (_testmultiphase  is  None , "test requires _testmultiphase module" ) 
19131914    def  test_multi_init_extension_non_isolated_compat (self ):
1915+         # Module with Py_MOD_MULTIPLE_INTERPRETERS_NOT_SUPPORTED 
1916+         # and Py_MOD_GIL_NOT_USED 
19141917        modname  =  '_test_non_isolated' 
19151918        filename  =  _testmultiphase .__file__ 
19161919        loader  =  ExtensionFileLoader (modname , filename )
@@ -1929,23 +1932,33 @@ def test_multi_init_extension_non_isolated_compat(self):
19291932
19301933    @unittest .skipIf (_testmultiphase  is  None , "test requires _testmultiphase module" ) 
19311934    def  test_multi_init_extension_per_interpreter_gil_compat (self ):
1932-         modname  =  '_test_shared_gil_only' 
1933-         filename  =  _testmultiphase .__file__ 
1934-         loader  =  ExtensionFileLoader (modname , filename )
1935-         spec  =  importlib .util .spec_from_loader (modname , loader )
1936-         module  =  importlib .util .module_from_spec (spec )
1937-         loader .exec_module (module )
1938-         sys .modules [modname ] =  module 
1939- 
1940-         require_extension (module )
1941-         with  self .subTest (f'{ modname }  ):
1942-             self .check_incompatible_here (modname , filename , isolated = True )
1943-         with  self .subTest (f'{ modname }  ):
1944-             self .check_compatible_here (modname , filename ,
1945-                                        strict = True , isolated = False )
1946-         with  self .subTest (f'{ modname }  ):
1947-             self .check_compatible_here (modname , filename ,
1948-                                        strict = False , isolated = False )
1935+         # _test_shared_gil_only: 
1936+         #   Explicit Py_MOD_MULTIPLE_INTERPRETERS_SUPPORTED (default) 
1937+         #   and Py_MOD_GIL_NOT_USED 
1938+         # _test_no_multiple_interpreter_slot: 
1939+         #   No Py_mod_multiple_interpreters slot 
1940+         #   and Py_MOD_GIL_NOT_USED 
1941+         for  modname  in  ('_test_shared_gil_only' ,
1942+                         '_test_no_multiple_interpreter_slot' ):
1943+             with  self .subTest (modname = modname ):
1944+ 
1945+                 filename  =  _testmultiphase .__file__ 
1946+                 loader  =  ExtensionFileLoader (modname , filename )
1947+                 spec  =  importlib .util .spec_from_loader (modname , loader )
1948+                 module  =  importlib .util .module_from_spec (spec )
1949+                 loader .exec_module (module )
1950+                 sys .modules [modname ] =  module 
1951+ 
1952+                 require_extension (module )
1953+                 with  self .subTest (f'{ modname }  ):
1954+                     self .check_incompatible_here (modname , filename ,
1955+                                                  isolated = True )
1956+                 with  self .subTest (f'{ modname }  ):
1957+                     self .check_compatible_here (modname , filename ,
1958+                                                strict = True , isolated = False )
1959+                 with  self .subTest (f'{ modname }  ):
1960+                     self .check_compatible_here (
1961+                         modname , filename , strict = False , isolated = False )
19491962
19501963    def  test_python_compat (self ):
19511964        module  =  'threading' 
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