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  Algorithms for Quad-Double Precision Floating Point Arithmetic (2001) [17 citations — 3 self]

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by Yozo Hida, Xiaoye S. Li, David H. Bailey
Proceedings of the 15th Symposium on Computer Arithmetic
http://www.cs.berkeley.edu/~yozo/papers/arith15.ps.gz
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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. 1.

Citations

1446 The art of Computer Programming – Knuth - 1981
81 Adaptive precision floating-point arithmetic and fast robust geometric predicates – Shewchuk - 1997
64 A floating-point technique for extending the available precision – Dekker - 1971
39 A Fortran-90 Based Multiprecision System – Bailey - 1995
21 A Fortran multiple precision arithmetic package – Brent - 1978
20 On properties of floating point arithmetics: numerical stability and the cost of accurate computations – Priest - 1992
6 Multiple precision, multiple processor vortex sheet roll-up computation – Bailey, Krasny, et al. - 1993
5 A fortran-90 double-double library. Available at http://www.nersc.gov/ ~dhbailey/mpdist/mpdist.html – Bailey - 2001
5 Doubledouble floating point arithmetic. http://www-epidem.plantsci.cam.ac.uk /#kbriggs/doubledouble.html – Briggs - 1998
4 Integer relation detection – Bailey - 2000
1 Quad-double arithmetic: Algorithms, implementation, and application – Hida, Li, et al. - 2000