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https://issues.apache.org/jira/browse/MATH-1397?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15793135#comment-15793135
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Raymond DeCampo commented on MATH-1397:
---------------------------------------
Added a pull request to implement the case of 0 raised to a real positive
number:
https://github.com/apache/commons-math/pull/47
> 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
> 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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