High-performance hardware operators for polynomial evaluation

  • Authors:
  • Arnaud Tisserand

  • Affiliations:
  • Laboratory of Computer Science, Robotics and Microelectronics (LIRMM), National Center for Scientific Research (CNRS), University of Montpellier 2, 161 rue Ada, 34392 Montpellier c ...

  • Venue:
  • International Journal of High Performance Systems Architecture
  • Year:
  • 2007

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Abstract

This paper presents some recent works on hardware evaluation of functions. A method for the automatic generation of high-performance arithmetic operators based on polynomial approximations is described. It deals with the bit-level representation of the polynomial coefficients, the intermediate computations width, the approximation and the rounding errors. The generated operators are small, fast and numerically validated at design time. Some examples have been implemented on Field Programmable Gate Arrays (FPGAs).