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» Fast and correctly rounded logarithms in double-precision
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ARITH
2001
IEEE
13 years 8 months ago
Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Vincent Lefèvre, Jean-Michel Muller
ITA
2007
13 years 5 months ago
Fast and correctly rounded logarithms in double-precision
Florent de Dinechin, Christoph Quirin Lauter, Jean...
SIAMSC
2008
151views more  SIAMSC 2008»
13 years 5 months ago
Accurate Floating-Point Summation Part I: Faithful Rounding
Given a vector of floating-point numbers with exact sum s, we present an algorithm for calculating a faithful rounding of s, i.e. the result is one of the immediate floating-point ...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
ARITH
1999
IEEE
13 years 9 months ago
Reduced Latency IEEE Floating-Point Standard Adder Architectures
The design and implementation of a double precision floating-point IEEE-754 standard adder is described which uses "flagged prefix addition" to merge rounding with the s...
Andrew Beaumont-Smith, Neil Burgess, S. Lefrere, C...