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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 9 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»
14 years 4 hour 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 10 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