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TC
2011
12 years 11 months ago
Performing Arithmetic Operations on Round-to-Nearest Representations
—During any composite computation, there is a constant need for rounding intermediate results before they can participate in further processing. Recently, a class of number repre...
Peter Kornerup, Jean-Michel Muller, Adrien Panhale...
FPL
2007
Springer
138views Hardware» more  FPL 2007»
13 years 10 months ago
Bringing High-Performance Reconfigurable Computing to Exact Computations
Numerical non-robustness is a recurring phenomenon in scientific computing. It is primarily caused by numerical errors arising because of fixed-precision arithmetic in integer and...
Esam El-Araby, Ivan Gonzalez, Tarek A. El-Ghazawi
ARITH
2005
IEEE
13 years 10 months ago
Arithmetic Operations in the Polynomial Modular Number System
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...
APCSAC
2003
IEEE
13 years 10 months ago
Arithmetic Circuits Combining Residue and Signed-Digit Representations
This paper discusses the use of signed-digit representations in the implementation of fast and efficient residue-arithmetic units. Improvements to existing signed-digit modulo adde...
Anders Lindström, Michael Nordseth, Lars Beng...
COMPGEOM
1990
ACM
13 years 8 months ago
Finding Compact Coordinate Representations for Polygons and Polyhedra
Practical solid modeling systems are plagued by numerical problems that arise from using oatingpoint arithmetic. For example, polyhedral solids are often represented by a combinat...
Victor Milenkovic, Lee R. Nackman