[Coco] CORDIC functions
jdaggett at gate.net
jdaggett at gate.net
Mon Nov 3 08:48:00 EST 2003
The main concern is the accuracy and precision of the function that is reppresented.
Most trig tables give the functions to four or six decimal places. Calculators now
display to 9 to 12 decimal places. PCs can display even more. So how accurate and
how precise do you want?
The main two weaknesses of Power Series is the size of the table that stores the
coefficients for each function and the interval of convergence. Table size is
determined by how many coefficients are stored. To few coefficients and accuracy
and precission are not achieved. To many and more time is required to process the
series.
Power series have been around and part of mathematical computations for
centuries.
One of the weakness of the CORDIC functions is the selection of step size in axis
rotation. To large andaccuracy and precision are lost. Too small and sacrifice
speed.
The strength of CORDIC functions are in the accellaration in 3D graphics.
james
On 2 Nov 2003 at 14:18, Neil Morrison wrote:
>
> ----- Original Message -----
> From: "Theodore A. Evans" <alxevans at concentric.net>
>
> > Supposedly this is what is used in Basic09 for floating point math.
>
> Certainly better than the series functions Billy Gates used in his
> early Basics, esp. considering he didn't always get them right!
>
> NM
>
>
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