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It appears that in Xamarin Android and mono 3.3.0 the System.Numerics.Complex.Divide(Complex dividend, Complex divisor) returns the wrong result when the dividend is 0 and the divisor is infinity. Mathematically, the result should be zero. In addition, the .Net implementation's result, matches the mathematical result.
This is similar to a bug I reported earlier (https://bugzilla.xamarin.com/show_bug.cgi?id=28562) and the fix for that issue might be related to the fix for this one.
To reproduce this issue, run the following code snippet
var n = new System.Numerics.Complex (0, 0);
var d = new System.Numerics.Complex (Double.NegativeInfinity, 0);
System.Numerics.Complex r = System.Numerics.Complex.Divide(n, d) ;
Expected result: r=(0,0)
Xamarin Android result: r=(NAN,NAN)
The code snippet above was ran using Xamarin Android 4.16, mono 3.3.0, Windows Phone 8.1, and .Net 4.5.
Additional Build Environment info:
Xamarin.Android Version: 4.16.0 (Business Edition)
Java SDK: C:\Program Files (x86)\Java\jdk1.6.0_39
Already fixed in Mono 4.0