  Manipulating the spin degrees of freedom of electrons affords an excellent
platform for exploring novel quantum states in condensed-matter physics and
material science. Based on first-principles calculations and analysis of
crystal symmetries, we propose a fully spin-polarized composite semimetal
state, which is combined with the one-dimensional nodal lines and
two-dimensional nodal surfaces, in the half-metal material CaFeO$_3$. In the
nodal line-surface states, the Baguenaudier-like nodal lines feature six rings
linked together, which are protected by the three independent symmetry
operations:$\mathcal{PT}$, $\mathcal{M}_{y}$, and
$\mathcal{\widetilde{M}}_{z}$. Near the Fermi level, the spin-polarized nodal
surface states are guaranteed by the joint operation
$\mathcal{T}\mathcal{S}_{2i}$ in the $k_{i(i=x,y,z)}=\pi$ plane. Furthermore,
high-quality CaFeO$_3$ harbors ultra-clean energy dispersion, which is rather
robust against strong triaxial compressional strain and correlation effect. The
realization of the Weyl nodal line-surface half-metal presents great potential
for spintronics applications with high speed and low power consumption.
