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You can change how constants are interpreted by Perl with overload::constant, which is most usefully placed in a package's import method. (If you do this, you should properly invoke overload::remove_constant in the package's unimport method so that the package can clean up after itself when you ask it to.)
Both overload::constant and overload::remove_constant expect a list of key/value pairs. The keys should be any of integer, float, binary, q, and qr, and each value should be the name of a subroutine, an anonymous subroutine, or a code reference that will handle the constants.