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https://issues.apache.org/jira/browse/MATH-668?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13192076#comment-13192076
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Thomas Neidhart commented on MATH-668:
--------------------------------------

I have checked the attached test cases:

 - circle test: you remove the outer circle from the inner one, resulting in an 
empty polygon set, which is correct behaviour. If you switch the two circles, 
the correct result is returned: a PolygonsSet with two loops: the two circles 
itself.

 - testdifference2: the described behaviour is implementation specific due to 
the way the hyperplane is cut when subtracting the two regions.
                
> Polygon difference function produces erroneous results with certain polygons
> ----------------------------------------------------------------------------
>
>                 Key: MATH-668
>                 URL: https://issues.apache.org/jira/browse/MATH-668
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.0
>            Reporter: Curtis Jensen
>            Assignee: Luc Maisonobe
>              Labels: difference, math,, polygon,
>             Fix For: 3.0
>
>         Attachments: PolygonsSetCircleTest.java, PolygonsSetTest.java
>
>   Original Estimate: 168h
>  Remaining Estimate: 168h
>
> For some polygons, the difference function produces erroneous results.  This 
> appears to happen when one polygon is completely encompassed in another, and 
> the outer has multiple concave sections.

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