Arbitrary magnetic field modulations to the semiconductor pump with both the Rashba and Dresselhaus spin-orbit couplings(SOC) are studied. The pump is driven by double time-dependent delta potentials, which are formed in the interfaces between the semiconductor region and two normal leads. Based on the Floquet scattering approach, our calculations show that various currents can be pumped by couplings of the magnetic fields and the SOCs. Pure spin currents modulated by the arbitrary magnetic fields are discussed in detail. Arbitrary magnetic field modulations to the semiconductor pump with both Rashba and Dresselhaus spin-orbit couplings (SOC) are studied. The pump is driven by double time-dependent delta potentials, which are formed in the interfaces between the semiconductor region and two normal leads Based on the Floquet scattering approach, our calculations show that various currents can be pumped by couplings of the magnetic fields and the SOCs. Pure spin currents modulated by the arbitrary magnetic fields are discussed in detail.