  Small-$x$ logarithmic enhancements arising from high-energy gluon emissions
affect both the evolution of collinearly-factorized parton densities and
partonic coefficient functions. With the higher collider energy reached by the
LHC, the prospect of a future high-energy collider, and the recent
deep-inelastic scattering (DIS) results at small-$x$ from HERA, providing
phenomenological tools for performing small-$x$ resummation has become of great
relevance. In this paper we discuss a framework to perform small-$x$
resummation for both parton evolution and partonic coefficient functions and we
describe its implementation in a computer code named High-Energy Large
Logarithms (HELL). We present resummed and matched results for the DGLAP
splitting functions and, as a proof of principle, for the massless structure
functions in DIS.
