Accurate Floating Point Arithmetic through Hardware Error-Free Transformations

Provided by: Springer Healthcare
Topic: Hardware
Format: PDF
In this paper presents a hardware approach to performing accurate floating point addition and multiplication using the idea of error-free transformations. Specialized iterative algorithms are implemented for computing arbitrarily accurate sums and dot products. The results of a Xilinx Virtex 6 implementation are given, area and performance are compared against standard floating point units and it is shown that the time-area product can be improved by a factor of 4 and 6 over software error-free addition and multiplication.

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