Title :
Algorithms for quad-double precision floating point arithmetic
Author :
Hida, Yozo ; Li, Xiaoye S. ; Bailey, David H.
Author_Institution :
Dept. of Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
A quad-double number is an unevaluated sum of four IEEE double precision numbers, capable of representing at least 212 bits of significand. We present the algorithms for various arithmetic operations (including the four basic operations and various algebraic and transcendental operations) on quad-double numbers. The performance of the algorithms, implemented in C++, is also presented
Keywords :
floating point arithmetic; object-oriented programming; C++ algorithms; IEEE double precision numbers; quad-double number; quad-double precision floating point arithmetic; significand; unevaluated sum; Computational geometry; Computer science; Cryptography; Floating-point arithmetic; Laboratories; Libraries; Mathematics; Packaging; Physics computing; Uncertainty;
Conference_Titel :
Computer Arithmetic, 2001. Proceedings. 15th IEEE Symposium on
Conference_Location :
Vail, CO
Print_ISBN :
0-7695-1150-3
DOI :
10.1109/ARITH.2001.930115
