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While filecmp.cmp and filecmp.cmpfiles allow a shallow option to be specified to invoke a more involved comparison of files, filecmp.dircmp does not. It is limited to shallow-only comparisons. 
This could be solved quite easily by adding a shallow keyword option to dircmp then changing the phase3 method to the following.
 def phase3(self): # Find out differences between common files
 xx = cmpfiles(self.left, self.right, self.common_files, self.shallow)
 self.same_files, self.diff_files, self.funny_files = xx