| A comparison of CPUs, GPUs, FPGAs, and massively parallel processor arrays for random number generation |
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International Symposium on Field Programmable Gate Arrays
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Proceeding of the ACM/SIGDA international symposium on Field programmable gate arrays
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Monterey, California, USA
SESSION: High performance computing applications
table of contents
Pages 63-72
Year of Publication: 2009
ISBN:978-1-60558-410-2
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ABSTRACT
The future of high-performance computing is likely to rely on the ability to efficiently exploit huge amounts of parallelism. One way of taking advantage of this parallelism is to formulate problems as "embarrassingly parallel" Monte-Carlo simulations, which allow applications to achieve a linear speedup over multiple computational nodes, without requiring a super-linear increase in inter-node communication. However, such applications are reliant on a cheap supply of high quality random numbers, particularly for the three main maximum entropy distributions: uniform, used as a general source of randomness; Gaussian, for discrete-time simulations; and exponential, for discrete-event simulations. In this paper we look at four different types of platform: conventional multi-core CPUs (Intel Core2); GPUs (NVidia GTX 200); FPGAs (Xilinx Virtex-5); and Massively Parallel Processor Arrays (Ambric AM2000). For each platform we determine the most appropriate algorithm for generating each type of number, then calculate the peak generation rate and estimated power efficiency for each device.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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1
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2
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Ambric, Inc. Am2000 Family Architecture Reference, May 2008.
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3
|
G. E. P. Box and M. E. Muller. A note on the generation of random normal deviates. Annals of Mathematical Statistics, 29(2):610--611, 1958.
|
 |
4
|
|
| |
5
|
R. Cheung, D. Lee, W. Luk, and J. Villasenor. Hardware generation of arbitrary random number distributions from uniform distributions via the inverson method. IEEE Transactions on VLSI, 15(8):952--962, 2007.
|
| |
6
|
L. Devroye. Non-Uniform Random Variate Generation. Springer-Verlag New York, 1996.
|
| |
7
|
M. Y. et. al. FPGA implementation of a data-driven stochastic biochemical simulator with the next reaction method. In Proc. Int. Conf. on Field Programmable Logic and Applications, pages 254--259, 2007.
|
| |
8
|
G. E. Forsythe. Von neumann's comparison method for random sampling from the normal and other distributions. Mathematics of Computation, 26(120):817--826, 1972.
|
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9
|
L. Howes and D. Thomas. GPU Gems 3: Efficient Random Number Generation and Application Using CUDA, chapter 37. Addison-Wesley, 2007.
|
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10
|
|
| |
11
|
P. L'Ecuyer. Elsevier Handbooks in Operations Research and Management Science: Simulation, chapter 3: Random Number Generation, pages 55--81. Elsevier Science, 2006.
|
| |
12
|
P. L'Ecuyer and R. Simard. TestU01 random number test suite. www.iro.umontreal.ca/~simardr/indexe.html, 2007.
|
| |
13
|
|
| |
14
|
|
| |
15
|
D.-U. Lee, W. Luk, J. D. Villasenor, G. Zhang, and P. H. Leong. A hardware Gaussian noise generator using the wallace method. IEEE Transactions on VLSI Systems, 13(8):911--920, 2005.
|
| |
16
|
G. Marsaglia. Xorshift RNGs. Journal of Statistical Software, 8(14):1--6, 2003.
|
| |
17
|
G. Marsaglia and W. W. Tsang. The ziggurat method for generating random variables. Journal of Statistical Software, 5(8):1--7, 2000.
|
 |
18
|
|
| |
19
|
|
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20
|
M. Saito and M. Matsumoto. SIMD-oriented fast mersenne twister: a 128-bit pseudorandom number generator. In Monte-Carlo and Quasi-Monte Carlo Methods, pages 607--622, 2006.
|
| |
21
|
|
| |
22
|
D. B. Thomas and W. Luk. Non-uniform random number generation through piecewise linear approximations. IET Computers and Digital Techniques, 1(4):312--321, 2007.
|
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23
|
|
| |
24
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D. B. Thomas and W. Luk. Sampling from the exponential distribution using independent bernoulli variates. In Proc. Int. Conf. on Field Programmable Logic and Applications, 2008.
|
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25
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|
 |
26
|
|
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27
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G. L. Zhang, P. H. Leong, D.-U. Lee, J. D. Villasenor, R. C. Cheung, and W. Luk. Ziggurat-based hardware Gaussian random number generator. In Proc. Int. Conf. on Field Programmable Logic and Applications, pages 275--280. IEEE Computer Society Press, 2005.
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