AlphaDiSC (formerly called DiscVerSt) calculates the vertical and radial structure of accretion discs around neutron stars and black holes. Different classes represent the vertical structure for different types of EoS and opacity, temperature gradient and irradiation scheme; the code includes an interface for initializing the chosen structure type. AlphaDiSC also contains functions to calculate S-curves and the vertical and radial profile of a stationary disc.