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ITA
2007
13 years 5 months ago
Correct rounding of algebraic functions
We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds...
Nicolas Brisebarre, Jean-Michel Muller
ARITH
2001
IEEE
13 years 9 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
TC
1998
13 years 5 months ago
Toward Correctly Rounded Transcendentals
—The Table Maker’s Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we pr...
Vincent Lefèvre, Jean-Michel Muller, Arnaud...
AC
2000
Springer
13 years 5 months ago
Exact and Approximate Testing/Correcting of Algebraic Functions: A Survey
Abstract. In the late 80's Blum, Luby, Rubinfeld, Kannan et al. pioneered the theory of self
Marcos A. Kiwi, Frédéric Magniez, Mi...
PTS
2008
87views Hardware» more  PTS 2008»
13 years 6 months ago
Test Construction for Mathematical Functions
The article deals with problems of testing implementations of mathematical functions working with floating-point numbers. It considers current standards' requirements to such ...
Victor V. Kuliamin