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Zbl 0809.65008
Merrheim, X.
The computation of elementary functions in radix $2\sp p$. (English)
[J] Computing 53, No.3-4, 219-232 (1994). ISSN 0010-485X; ISSN 1436-5057/e

The author presents new algorithms computing the sine, the cosine, and the exponential functions.\par The idea is to compute all this functions in radix $2\sp p$ in order to reduce the number of iterations. All these algorithms are based on the discrete bases decomposition algorithm. Each iteration is computed using the AXPY cell which is a small quick multiplier and the computation is between 2 and 3 times quicker than the standard algorithms.\par A comparison between radix 2 and radix $2\sp p$ algorithms and between CORDIC and polynomial approximation is presented, too.
[M.Gaşpar (Iaşi)]

MSC 2000:: *65D20 Computation of special functions
26A09 Elementary functions of one real variable

Keywords: computation of elementary functions; computer arithmetics; CORDIC-like algorithms; algorithms; sine; cosine; exponential functions; discrete bases decomposition algorithm; iteration

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