Supercompilers must reschedule computations defined by nested DO-loops in order to make an efficient use of supercomputer features (vector units, multiple elementary processors, cache memory, etc…). Many rescheduling techniques like loop interchange, loop strip-mining or rectangular partitioning have been described to speedup program execution. We present here a class of partitionings that encompasses previous techniques and provides enough flexibility to adapt code to multiprocessors with two levels of parallelism and two levels of memory.