Universal Coding of the Reals: Alternatives to IEEE Floating Point

Lindstrom, P; Lloyd, S; Hittinger, J

doi:10.1145/3190339.3190344

Universal Coding of the Reals: Alternatives to IEEE Floating Point

Conference · 12 December 2017

DOI:https://doi.org/10.1145/3190339.3190344· OSTI ID:1432963

Lindstrom, P; Lloyd, S; Hittinger, J

Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC52-07NA27344

OSTI ID:: 1432963

Report Number(s):: LLNL-CONF-743265

Resource Relation:: Conference: Presented at: Conference for Next Generation Arithmetic 2018, Singapore, Singapore, Mar 28 - Mar 28, 2018

Country of Publication:: United States

Language:: English

References (11)

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Beyond Floating Point No authors listed Journal of the ACM https://doi.org/10.1145/62.322429		March 1984
Universal codeword sets and representations of the integers No authors listed IEEE Transactions on Information Theory https://doi.org/10.1109/TIT.1975.1055349		March 1975
URR: Universal representation of real numbers No authors listed New Generation Computing https://doi.org/10.1007/BF03037427		June 1983
The exact dot product as basic tool for long interval arithmetic No authors listed Computing https://doi.org/10.1007/s00607-010-0127-7		November 2010
Tapered Floating Point: A New Floating-Point Representation No authors listed IEEE Transactions on Computers https://doi.org/10.1109/T-C.1971.223174		December 1971
Accurate Sum and Dot Product No authors listed SIAM Journal on Scientific Computing https://doi.org/10.1137/030601818		January 2005
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes No authors listed Journal of Computational Physics https://doi.org/10.1006/jcph.1997.5705		August 1997
The Sign/Logarithm Number System No authors listed IEEE Transactions on Computers https://doi.org/10.1109/T-C.1975.224172		December 1975
Towards the Ultimate Conservative Difference Scheme No authors listed Journal of Computational Physics https://doi.org/10.1006/jcph.1997.5704		August 1997
Overflow/underflow-free floating-point number representations with self-delimiting variable-length exponent field No authors listed IEEE Transactions on Computers https://doi.org/10.1109/12.156546		January 1992

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