Mario Wenzel created MATH-1397:
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Summary: 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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