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We report our design of a tunable one-way cross-waveguide splitter, resulting from the broken time-reversal symmetry, based on the edge modes of gyromagnetic photonic crystal. Mode control is accomplished by altering the radius or refractive index of a single central electro-optical rod. The on-off switch of the channels can be manipulated by external electric or magnetic field. Coupled-mode theory between defect modes and waveguide modes was used to characterize the transmission efficiency of the channels.