  Wide range equation of state (EOS) for liquid hydrogen is ultimately built by
combining two kinds of density functional theory (DFT) molecular dynamics
simulations, namely, first-principles molecular dynamics simulations and
orbital-free molecular dynamics simulations. Specially, the present
introduction of short cutoff radius pseudopotentials enables the hydrogen EOS
to be available in the range $9.82\times10^{-4}$ to $1.347\times10^{3}$
g/cm$^{3}$ and up to $5\times10^{7}$ K. By comprehensively comparing with
various attainable experimental and theoretical data, we derive the conclusion
that our DFT-EOS can be readily and reliably conducted to hydrodynamic
simulations of the inertial confinement fusion.
