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ISSAC
2007
Springer
163views Mathematics» more  ISSAC 2007»
13 years 11 months ago
POSIX threads polynomials(PTPol): a scalable implementation of univariate arithmetic operations
In this paper, we describe the design of a C library named PTPol implementing arithmetic operations for univariate polynomials and report on practical experiments showing the rele...
Mohab Safey El Din, Philippe Trebuchet
ISAAC
2003
Springer
141views Algorithms» more  ISAAC 2003»
13 years 10 months ago
Quasi-optimal Arithmetic for Quaternion Polynomials
Abstract. Fast algorithms for arithmetic on real or complex polynomials are wellknown and have proven to be not only asymptotically efficient but also very practical. Based on Fas...
Martin Ziegler
ICCAD
2007
IEEE
234views Hardware» more  ICCAD 2007»
13 years 8 months ago
Finding linear building-blocks for RTL synthesis of polynomial datapaths with fixed-size bit-vectors
Abstract: Polynomial computations over fixed-size bitvectors are found in many practical datapath designs. For efficient RTL synthesis, it is important to identify good decompositi...
Sivaram Gopalakrishnan, Priyank Kalla, M. Brandon ...
ASPDAC
2007
ACM
95views Hardware» more  ASPDAC 2007»
13 years 8 months ago
Optimization of Arithmetic Datapaths with Finite Word-Length Operands
Abstract: This paper presents an approach to area optimization of arithmetic datapaths that perform polynomial computations over bit-vectors with finite widths. Examples of such de...
Sivaram Gopalakrishnan, Priyank Kalla, Florian Ene...
COMPGEOM
2001
ACM
13 years 8 months ago
Computing a 3-dimensional cell in an arrangement of quadrics: exactly and actually!
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
Nicola Geismann, Michael Hemmer, Elmar Schöme...