New Algorithms for the Approximate Evaluation in Hardware of Binary Logarithms and Elementary Functions
Issue No.12 - December (1972 vol.21)
D. Marino , Department of Physics, University of Bari
After an analysis of the errors introduced in the approximate computation of the x<sup>2</sup>function (O = x = 1) and its distributions, we find that a parabolic rather than linear fit to log2 (1 + x), (O = x = 1) can be performed in hardware without increasing the number of necessary sums. An improvement, by a factor of about 2.5, in the absolute maximum error can be expected. Full simulation on
Approximate computation, approximate evaluation of elementary functions, binary logarithms.
D. Marino, "New Algorithms for the Approximate Evaluation in Hardware of Binary Logarithms and Elementary Functions", IEEE Transactions on Computers, vol.21, no. 12, pp. 1416-1421, December 1972, doi:10.1109/T-C.1972.223516