  The adiabatic connection interaction strength interpolation (ISI)-like method
provides a high-level expression for the correlation energy, being in principle
exact in the weak-interaction limit, where it recovers the second-order
G\"orling-Levy perturbation term, but also in the strong-interaction limit that
is described by the strictly correlated electron approach. In this work, we
construct the genISI functional made accurate for the uniform electron gas, a
solid-state physics paradigm that is a very difficult test for ISI-like
correlation functionals. We assess the genISI functional for various jellium
spheres with the number of electrons Z $\leq$ 912 and for the non-relativistic
noble atoms with Z $\leq$ 290. For the jellium clusters, the genISI is
remarkably accurate, while for the noble atoms, it shows a good performance,
similar to other ISI-like methods. Then, the genISI functional can open the
path using the ISI-like method in solid-state calculations.
