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https://issues.apache.org/jira/browse/MATH-1397?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Gilles updated MATH-1397:
-------------------------
    Assignee: Eric Barnhill

> Complex.ZERO.pow(2.0) is NaN
> ----------------------------
>
>                 Key: MATH-1397
>                 URL: https://issues.apache.org/jira/browse/MATH-1397
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.6.1
>         Environment: Linux, Java1.7/Java1.8
>            Reporter: Mario Wenzel
>            Assignee: Eric Barnhill
>            Priority: Minor
>
> ```
> package complextest;
> import org.apache.commons.math3.complex.Complex;
> public class T {
>       public static void main(String[] args) {
>               System.out.println(Complex.ZERO.pow(2.0));
>       }
> }
> ```
> This is the code and the readout is `(NaN, NaN)`. This surely isn't right. 
> For one, it should actually be zero 
> (https://www.wolframalpha.com/input/?i=(0%2B0i)%5E2) and second of all, the 
> documentation doesn't state that anything could go wrong from a Complex 
> number that has no NaNs and Infs.
> The other definition states that it doesn't work when the base is Zero, but 
> it surely should. This strange corner case destroys any naive implementation 
> of stuff wrt the mandelbrot set.
> It would be nice to not have to implement this exception myself.



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