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Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of π Calculation

  • Yasumasa Kanada
Chapter

Abstract

More than 200 million decimal places of πt were calculated using arithmetic-geometric mean formula independently discovered by Salamin and Brent in 1976. Correctness of the calculation were verified through Borwein’s quartic convergent formula developed in 1983. The computation took CPU times of 5 hours 57 minutes for the main calculation and 7 hours 30 minutes for the verification calculation on the HITAC S-820 model 80 supercomputer with 256 Mb of main memory and 3 Gb of high speed semiconductor storage, Extended Storage, for shorten I/O time.

Keywords

Discrete Fourier Transform Main Memory Decimal Place Double Precision Convolution Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Yasumasa Kanada
    • 1
  1. 1.Computer CentreUniversity of TokyoTokyo 113Japan

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