Systems and methods for computing mathematical functions
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United States of America Patent
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Mar 21, 2017
Grant Date -
Jan 8, 2015
app pub date -
Sep 15, 2014
filing date -
Jul 25, 2006
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Abstract
Mathematical functions are computed in a single pipeline performing a polynomial approximation (e.g. a quadratic approximation, or the like); and one or more data tables corresponding to at least one of the RCP, SQRT, EXP or LOG functions operable to be coupled to the single pipeline according to one or more opcodes; wherein the single pipeline is operable for computing at least one of RCP, SQRT, EXP or LOG functions according to the one or more opcodes. SIN and COS are also computed using the pipeline according to the approximation ((−1)^IntX)*Sin(π*Min(FracX, 1.0−FracX)/Min(FracX, 1.0−FracX). A pipeline portion approximates Sin(π*FracX) using tables and interpolation and a subsequent stage multiplies this approximation by FracX. For input arguments of x close 1.0. LOG 2(x−1)/(x−1) is computed using a first pipeline portion using tables and interpolation and subsequently multiplied by (x−1). A DIV operation may also be performed with input arguments scaled up to avoid underflow as needed.
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