Vector Spaces for Dark Matter (VSDM): Fast Direct Detection Calculations with Python and Julia

Anisotropic target materials are promising candidates for dark matter direct detection experiments, providing a directional sensitivity that can be used to distinguish a dark matter (DM) signal from the various Standard Model backgrounds. In this paper we introduce the Julia and Python implementations of \emph{Vector Spaces for Dark Matter} (VSDM), which handle the difficult scattering rate computation for these rotating, three-dimensional response functions by calculating a partial rate matrix for every combination of DM velocity distribution, material response function, and particle DM properties.