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CurvilinearQuadrature should inherit from AngularQuadrature and there be an additional CurvilinearProductQuadrature class. This is addressed by Updates to CurvilinearQuadrature #711.
1D quadratures should not inherit from ProductQuadrature when they are not actually product quadratures. 1D quadratures are treated as product quadratures with all azimuthal angles set to 0. We need a new 1D quadrature class for these quadrature sets.