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» Single Precision Reciprocals by Multipartite Table Lookup
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ARITH
2005
IEEE
14 years 1 months ago
Single Precision Reciprocals by Multipartite Table Lookup
— We develop the foundations for confirming monotonicity of a multi-term reciprocal function approximation. We introduce the concept of operand recoding to improve the accuracy ...
Peter Kornerup, David W. Matula
ICCD
2008
IEEE
160views Hardware» more  ICCD 2008»
14 years 1 months ago
An improved micro-architecture for function approximation using piecewise quadratic interpolation
We present a new micro-architecture for evaluating functions based on piecewise quadratic interpolation. The micro-architecture consists mainly of a look-up table and two multiply...
Shai Erez, Guy Even
FPL
2004
Springer
93views Hardware» more  FPL 2004»
14 years 25 days ago
Second Order Function Approximation Using a Single Multiplication on FPGAs
Abstract. This paper presents a new scheme for the hardware evaluation of elementary functions, based on a piecewise second order minimax approximation. The novelty is that this ev...
Jérémie Detrey, Florent de Dinechin

Presentation
439views
12 years 1 months ago
Efficient Evaluation Methods of Elementary Functions Suitable for SIMD Computation
Data-parallel architectures like SIMD (Single Instruction Multiple Data) or SIMT (Single Instruction Multiple Thread) have been adopted in many recent CPU and GPU architectures. Al...
TAPSOFT
1995
Springer
13 years 11 months ago
Anatomy of the Pentium Bug
The Pentium computer chip’s division algorithm relies on a table from which five entries were inadvertently omitted, with the result that 1738 single precision dividenddivisor ...
Vaughan R. Pratt