[3.10] Add more syslog tests (GH-97953). (GH-98101)

(cherry picked from commit cae7d1d7a7)

Lib/test/audit-tests.py

@@ -408,6 +408,27 @@ def hook(event, *args):
             raise RuntimeError("Expected sqlite3.load_extension to fail")
 
 
+def test_syslog():
+    import syslog
+
+    def hook(event, args):
+        if event.startswith("syslog."):
+            print(event, *args)
+
+    sys.addaudithook(hook)
+    syslog.openlog('python')
+    syslog.syslog('test')
+    syslog.setlogmask(syslog.LOG_DEBUG)
+    syslog.closelog()
+    # implicit open
+    syslog.syslog('test2')
+    # open with default ident
+    syslog.openlog(logoption=syslog.LOG_NDELAY, facility=syslog.LOG_LOCAL0)
+    sys.argv = None
+    syslog.openlog()
+    syslog.closelog()
+
+
 if __name__ == "__main__":
     from test.support import suppress_msvcrt_asserts