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If you dont specialize Output_rep for T, T's stream output operator is called from within Output_rep, by default. If you want another behaviour for your type T, you have to provide a specialization for that type. Furthermore, you can provide specializations with a second template parameter (a formatting tag). The second template parameter defaults to Null_tag and means default behaviour.
Specializations of Output_rep should provide the following features:
template< class F >
struct Output_rep< Some_type, F > {
Output_rep( const Some_type& t );
std::ostream& operator()( std::ostream& out ) const;
};
You can also specialize for a formatting tag F.