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» On the Computation of Correctly-Rounded Sums
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FSTTCS
2010
Springer
14 years 8 months ago
Computing Rational Radical Sums in Uniform TC^0
A fundamental problem in numerical computation and computational geometry is to determine the sign of arithmetic expressions in radicals. Here we consider the simpler problem of d...
Paul Hunter, Patricia Bouyer, Nicolas Markey, Jo&e...
AML
2008
60views more  AML 2008»
14 years 10 months ago
Computable shuffle sums of ordinals
Asher M. Kach
ARITH
2007
IEEE
15 years 4 months ago
Worst Cases of a Periodic Function for Large Arguments
One considers the problem of finding hard to round cases of a periodic function for large floating-point inputs, more precisely when the function cannot be efficiently approxim...
Guillaume Hanrot, Vincent Lefèvre, Damien S...
ARITH
1999
IEEE
15 years 2 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...
SAC
2006
ACM
14 years 10 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...