Massively Parallel Computing: Mathematics and Communications Libraries

Massively parallel computing holds the promise of extreme performance. The utility of these systems will depend heavily upon the availability of libraries until compilation and run-time system technology is developed to a level comparable to what today is common on most uniprocessor systems. Critical for performance is the ability to exploit locality of reference and effective management of the communication resources. We discuss some techniques for preserving locality of reference in distributed memory architectures. In particular, we discuss the benefits of multidimensional address space instead of the conventional linearized address spaces, partitioning of irregular grids, and placement of partitions among nodes. Some of these techniques are supported as language directives, others as run-time system functions, and others still are part of the Connection Machine Scientific Software Library, CMSSL. We briefly discuss some of the unique design issues in this library for distributed memory architectures, and some of the novel ideas with respect to managing data allocation, and automatic selection of algorithms with respect to performance. The CMSSL also includes a set of communication primitives we have found very useful on the Connection Machine systems in implementing scientific and engineering applications. We briefly review some of the techniques used to fully utilize the bandwidth of the binary cube network of the CM-2 and CM-200 Connection Machine systems.Engineering and Applied Science