When solving the LPs or QPs with a simplex algorithm, or when solving LPs using the barrier optimizer with crossover enabled, basis information is available as well. Basis information can be consulted using method IloCplex::getBasisStatuses() which returns basis status information for variables and constraints.

Such information is encoded by the nested enumeration type:

IloCplex::BasisStatus { Basic, AtLower, AtUpper, FreeOrSuperbasic };