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05.09.2008 at 03:52PM PDT, ID: 23391024
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How to calculate ArcTan(x) ?

Tags: ArcTan, Inverse, Tangent, Algorithm, Precision
Hi, I have a tricky question. I need an algorithm to calculate the inverse tangent (tan ^ -1) for a specific floating-point x (-inf < x < inf). It has to converge fast or at least there must be a mechanism to calculate it to a specific number of digits ?

I've tried many algorithms (Wiki, MathWorld) but don't feel constraint by any of them (I probably got them wrong).. the priority is a functional one.. You can use almost any approach but try to avoid complex numbers, other inverse functions (I intend to use ArcTan to calculate the others).

So the priorities are:

1) functioning algorithm (customizable digit precision)
2) fast algorithm
3) less complex algorithm to implement or one using less special constants and operations (Bernoulli numbers or other specialities)

thanks in advance and best regards,
Kate
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Question Stats
Zone: Programming
Question Asked By: _Katka_
Solution Provided By: ozo
Participating Experts: 1
Solution Grade: A
Views: 144
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05.09.2008 at 04:12PM PDT, ID: 21536959

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05.09.2008 at 04:14PM PDT, ID: 21536967

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05.09.2008 at 10:46PM PDT, ID: 21537977

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05.09.2008 at 11:39PM PDT, ID: 21538045

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05.09.2008 at 11:45PM PDT, ID: 21538056

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05.09.2008 at 11:48PM PDT, ID: 21538063

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05.09.2008 at 11:50PM PDT, ID: 21538065

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05.10.2008 at 01:00AM PDT, ID: 21538182

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