A sequential algorithm is oblivious if an address accessed at each time does not depend on input data. Many important tasks including matrix computation, signal processing, sorting, dynamic programming, and encryption/decryption can be performed by oblivious sequential algorithms. Bulk execution of a sequential algorithm is to execute it for many independent inputs in turn or in parallel. The main contribution of this paper is to develop a tool that generates a CUDA C program for the bulk execution of an oblivious sequential algorithm. More specifically, our tool automatically converts a C language program describing an oblivious sequential algorithm into a CUDA C program that performs the bulk execution of the C language program. Generated C programs can be executed in CUDA-enabled GPUs. We have implemented CUDA C programs for the bulk execution of bitonic sorting algorithm, Floyd-Warshall algorithm, and Montgomery modulo multiplication. Our implementations running on GeForce GTX Titan for the bulk execution can be 199 times faster for bitonic sort, 54 times faster for Floyd-Warshall algorithm, and 78 times faster for Montgomery modulo multiplication, over the implementations on a single Intel Xeon CPU.
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