Parallel implementation of multiple-precision arithmetic and 2,576,980,370,000 decimal digits of \(\pi \) calculation

DOI10.1016/j.parco.2010.02.007zbMath1204.68011OpenAlexW1979027344MaRDI QIDQ991138

Daisuke A. Takahashi

Publication date: 2 September 2010

Published in: Parallel Computing (Search for Journal in Brave)

Full work available at URL: https://tsukuba.repo.nii.ac.jp/?action=repository_action_common_download&item_id=20047&item_no=1&attribute_id=17&file_no=1

zbMATH Keywords

fast Fourier transformdistributed-memory parallel computermultiple-precision arithmetic

Mathematics Subject Classification ID

Parallel algorithms in computer science (68W10) Mathematical problems of computer architecture (68M07)

Uses Software

• gmp
• Algorithm 693
• OpenMPI
• Algorithm 719

Cites Work

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• Large integer multiplication on hypercubes
• Performance analysis of the parallel Karatsuba multiplication algorithm for distributed memory architectures
• Fast multiplication of large numbers
• Fast Multiple-Precision Evaluation of Elementary Functions
• Computation of π Using Arithmetic-Geometric Mean
• High-precision division and square root
• Discrete Weighted Transforms and Large-Integer Arithmetic
• Algorithm 719: Multiprecision translation and execution of FORTRAN programs
• Algorithm 693: a FORTRAN package for floating-point multiple-precision arithmetic