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ARITH
2007
IEEE
13 years 11 months ago
Floating-point L2-approximations to functions
In the present paper, we investigate the approximation of a function by a polynomial with floating-point coefficients; we are looking for the best approximation in the L2 sense....
Nicolas Brisebarre, Guillaume Hanrot
FMCAD
2000
Springer
13 years 8 months ago
Formal Verification of Floating Point Trigonometric Functions
Abstract. We have formal verified a number of algorithms for evaluating transcendental functions in double-extended precision floating point arithmetic in the Intel
John Harrison
ISMVL
2009
IEEE
94views Hardware» more  ISMVL 2009»
13 years 11 months ago
Floating-Point Numerical Function Generators Using EVMDDs for Monotone Elementary Functions
This paper proposes a design method for floating-point numerical function generators (NFGs) using multi-valued decision diagrams (MDDs). Our method applies to monotone elementary...
Shinobu Nagayama, Tsutomu Sasao, Jon T. Butler
ISMVL
2010
IEEE
156views Hardware» more  ISMVL 2010»
13 years 9 months ago
Floating-Point Numeric Function Generators Based on Piecewise-Split EVMDDs
This paper proposes a new architecture for memorybased floating-point numeric function generators (NFGs). The design method uses piecewise-split edge-valued multivalued decision ...
Shinobu Nagayama, Tsutomu Sasao, Jon T. Butler