Floating-Point Exponentiation Units for Reconfigurable Computing

Author:

de Dinechin Florent1,Echeverría Pedro2,López-Vallejo Marisa2,Pasca Bogdan1

Affiliation:

1. École Normale Supérieure de Lyon

2. Universidad Politécnica de Madrid

Abstract

The high performance and capacity of current FPGAs makes them suitable as acceleration co-processors. This article studies the implementation, for such accelerators, of the floating-point power function x y as defined by the C99 and IEEE 754-2008 standards, generalized here to arbitrary exponent and mantissa sizes. Last-bit accuracy at the smallest possible cost is obtained thanks to a careful study of the various subcomponents: a floating-point logarithm, a modified floating-point exponential, and a truncated floating-point multiplier. A parameterized architecture generator in the open-source FloPoCo project is presented in details and evaluated.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

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