3D Fast Fourier Transform Library for Blue Gene/L

IBM alphaWorks > Data management >
"3D Fast Fourier Transform Library for Blue Gene/L
　A C++ library for computing distributed complex-to-complex, three-dimensional Fast Fourier Transforms on
　the Blue Gene/L supercomputer.", June 27, 2006
　http://www.alphaworks.ibm.com/tech/bgl3dfft
　"This FFT library is a three-dimensional, torus architecture-specific library. The torus is one of the five major
　 interconnection networks of the Blue Gene/L and it is used for both point-to-point messaging and collective
　 communications. The 3D FFT algorithm is designed to scale effectively to thousands of processors by its
　 fine-tuned decomposition and effective use of the three-dimensional torus topology of the Blue Gene/L
　 supercomputer. Performance measurements indicate that the algorithm scales well up to 8192 processors for
　 a 128^3 FFT using the MPI (message-passing interface) communication layer. BGL3DFFT can be used to enable
　 the scaling of large-scale scientific or engineering codes."

FAQs
　1. Can the BGL3DFFT library run only on BG/L architecture?
　The BGL3DFFT is written in C++ and can run on any platform. However, we provide a binary file for the BG/L architecture.


関連するもの (こちらはソースコードも公開されているようです)
IBM alphaWorks > Java technology >
"Custom Math Functions for High Performance Computing
　Implementations of various transcendental math functions, including "erfc", with no conditional branches.", May 10, 2006
　http://www.alphaworks.ibm.com/tech/custmath
　"This technology provides "branchless" implementations of selected math functions, enabling the application
　 to exploit the hardware to better effect, as reported in the "Blue Gene" issue of the IBM Journal of Research
　 and Development (Volume 49, Number 2/3, 2005)."

"Custom math functions for molecular dynamics", IBM Journal of Research and Development, Vol 49, No. 2/3, 2005
　http://www.research.ibm.com/journal/rd/492/enenkel.html



Blue Gene/Lとは直接関係ありませんが、こちらの方が歴史(対応プラットフォーム)があります：
IBM alphaWorks > Data management >
"Watson Sparse Matrix Package
　A package of libraries for solving sparse systems of linear equations on serial and parallel computers.", Update: June 16, 2006
　http://www.alphaworks.ibm.com/tech/wsmp
　"Watson Sparse Matrix Package (WSMP) is a collection of algorithms for efficiently solving large systems of
　 linear equations whose coefficient matrices are sparse. This high-performance, robust, and easy-to-use software
　 can be used as a serial package, or in a shared-memory multiprocessor environment, or as a scalable parallel solver
　 in a message-passing environment, where each node can either be a uniprocessor or a shared-memory
　 multiprocessor."


こちらも alphaWorksで公開されました：
IBM alphaWorks > Systems management >
"decNumber++
　A high-performance decimal arithmetic library for C++.", July 11, 2006
　http://www.alphaworks.ibm.com/tech/decnumberplusplus
　"decNumber++ is a high-performance decimal arithmetic library in ISO C++ that is especially suitable for commercial
　 and human-oriented applications. The library is a reference implementation of interfaces specified in a forthcoming
　 ISO Technical Report on decimal arithmetic types in C++: "ISO/IEC TR 24733: C++ Decimal Floating-Point Arithmetic
　 Extensions."
関連エントリー
　IEEE 754-1985 Floating-Point Arithmetic等々のメモ II, 2006-01-16
　　※[06/03/04]
　　　General Decimal Arithmetic