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https://issues.apache.org/jira/browse/MATH-375?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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William Rossi updated MATH-375:
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    Attachment: atanpatch.txt.gz

The attached patch fixes the bugs you reported in atan2().  I didn't implement 
sqrt() because I can't really improve upon Math.sqrt().  The implementation in 
Math seems to get compiled into a single machine instruction and I can't really 
compete against that.   It might be reasonable to have FastMath.sqrt() simply 
call Math.sqrt() though.

As far as other functions go, if there are some that are higher priority than 
others, please let me know.

> Elementary functions in JDK are slower than necessary and not as accurate as 
> they could be.
> -------------------------------------------------------------------------------------------
>
>                 Key: MATH-375
>                 URL: https://issues.apache.org/jira/browse/MATH-375
>             Project: Commons Math
>          Issue Type: New Feature
>         Environment: JDK 1.4 - 1.6
>            Reporter: William Rossi
>             Fix For: 2.2
>
>         Attachments: atanpatch.txt.gz, FastMath.tar.gz
>
>
> I would like to contribute improved versions on exp(), log(), pow(), etc.  to 
> the project.  Please refer to this discussion thread 
> http://markmail.org/message/zyeoguw6gwtofm62.
> I have developed over the past year a set of elementary functions similar to 
> those in java.lang.Math, but with the following characteristics:
> * Higher performance.
> * Better accuracy.  Results are accurate to slightly more that +/- 0.5 ULP.
> * Pure Java.  The standard Math class is impleneted via JNI, and thus takes a 
> performance hit.
> Note that some functions such as exp are nearly twice as fast in my 
> implementation.   I've seen it 3 times faster on different processors.   The 
> preformance varies by the relative speed of calculation vs memory lookups.
> The functions are implemented as tables of values in extra precision (approx 
> 70 bits), and then interpolated with a minimax polynomial.

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