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» Optimizing floating point operations in Scheme
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ASAP
2005
IEEE
142views Hardware» more  ASAP 2005»
13 years 10 months ago
Decimal Floating-Point Square Root Using Newton-Raphson Iteration
With continued reductions in feature size, additional functionality may be added to future microprocessors to boost the performance of important application domains. Due to growth...
Liang-Kai Wang, Michael J. Schulte
SIAMSC
2008
151views more  SIAMSC 2008»
13 years 4 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
2007
IEEE
13 years 11 months ago
Optimistic Parallelization of Floating-Point Accumulation
Abstract— Floating-point arithmetic is notoriously nonassociative due to the limited precision representation which demands intermediate values be rounded to fit in the availabl...
Nachiket Kapre, André DeHon
CDES
2006
158views Hardware» more  CDES 2006»
13 years 6 months ago
A Double Precision Floating Point Multiplier Suitably Designed for FPGAs and ASICs
In this paper, a double precision IEEE 754 floating-point multiplier with high speed and low power is presented. The bottleneck of any double precision floatingpoint multiplier des...
Himanshu Thapliyal, Vishal Verma, Hamid R. Arabnia
SIAMSC
2008
168views more  SIAMSC 2008»
13 years 4 months ago
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
In this Part II of this paper we first refine the analysis of error-free vector transformations presented in Part I. Based on that we present an algorithm for calculating the round...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi