Quote:
Originally posted by Abwehr
Might there be an ATAN op-amp or PIC inside the RC? It would seem rather peculiar for there to be one, especially if it has not been documented...
Are there any identities to calculate ATAN based on other trig functions? I only know of applicable ones for hyperbolic arctangent.
My money is still on a Taylor series.
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Unfortunately, it will take a very large amount of terms for a Taylor Series to converge if your angle is far away from your starting point. After about the 3rd term the powers exceed the ability of the stamp.
Some of the algorithms by the author on
this page might serve as a nice approximation of the angle, but the looping makes it less efficient than many would like. It basically approximates the angle first by assuming that, instead of having an arc between (1,0) and (0,1), there's a straight line, like that of a triangle. Then, it uses the "guess and check" method using the cosine equation to converge on the angle.