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https://issues.apache.org/jira/browse/LUCENE-8736?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16818019#comment-16818019
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Nicholas Knize commented on LUCENE-8736:
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{quote}it would be good to have an example where the determinant overflows as I 
haven't been able to exercise such an error.
{quote}
I'll see if I can grab an example. As expected, it doesn't occur when computing 
on encoded integer space; only decoded 64 bit double space.
{quote}I guess I don't see them as boundary failures.
{quote}
The issue I have is the behavior of excluding boundary points does not follow 
[OGC specifications;|https://www.opengeospatial.org/standards/sfa] which is the 
standard that geo systems _should_ follow; and the standard I think we should 
follow.
{quote}this patch really really hurts points
{quote}
Looking at the benchmarks I don't know that it _really_ _really_ hurts points. 
For me it's most important the behavior is correct. Then we can look at ways to 
improve performance? In this instance I think following the OGC community 
definition is probably best for defining "correct" behavior.

> LatLonShapePolygonQuery returning incorrect WITHIN results with shared 
> boundaries
> ---------------------------------------------------------------------------------
>
>                 Key: LUCENE-8736
>                 URL: https://issues.apache.org/jira/browse/LUCENE-8736
>             Project: Lucene - Core
>          Issue Type: Bug
>            Reporter: Nicholas Knize
>            Assignee: Nicholas Knize
>            Priority: Major
>             Fix For: 8.1, master (9.0)
>
>         Attachments: LUCENE-8736.patch, LUCENE-8736.patch, 
> adaptive-decoding.patch
>
>
> Triangles that are {{WITHIN}} a target polygon query that also share a 
> boundary with the polygon are incorrectly reported as {{CROSSES}} instead of 
> {{INSIDE}}. This leads to incorrect {{WITHIN}} query results  as demonstrated 
> in the following test:
> {code:java}
>   public void testWithinFailure() throws Exception {
>     Directory dir = newDirectory();
>     RandomIndexWriter w = new RandomIndexWriter(random(), dir);
>     // test polygons:
>     Polygon indexPoly1 = new Polygon(new double[] {4d, 4d, 3d, 3d, 4d}, new 
> double[] {3d, 4d, 4d, 3d, 3d});
>     Polygon indexPoly2 = new Polygon(new double[] {2d, 2d, 1d, 1d, 2d}, new 
> double[] {6d, 7d, 7d, 6d, 6d});
>     Polygon indexPoly3 = new Polygon(new double[] {1d, 1d, 0d, 0d, 1d}, new 
> double[] {3d, 4d, 4d, 3d, 3d});
>     Polygon indexPoly4 = new Polygon(new double[] {2d, 2d, 1d, 1d, 2d}, new 
> double[] {0d, 1d, 1d, 0d, 0d});
>     // index polygons:
>     Document doc;
>     addPolygonsToDoc(FIELDNAME, doc = new Document(), indexPoly1);
>     w.addDocument(doc);
>     addPolygonsToDoc(FIELDNAME, doc = new Document(), indexPoly2);
>     w.addDocument(doc);
>     addPolygonsToDoc(FIELDNAME, doc = new Document(), indexPoly3);
>     w.addDocument(doc);
>     addPolygonsToDoc(FIELDNAME, doc = new Document(), indexPoly4);
>     w.addDocument(doc);
>     ///// search //////
>     IndexReader reader = w.getReader();
>     w.close();
>     IndexSearcher searcher = newSearcher(reader);
>     Polygon[] searchPoly = new Polygon[] {new Polygon(new double[] {4d, 4d, 
> 0d, 0d, 4d}, new double[] {0d, 7d, 7d, 0d, 0d})};
>     Query q = LatLonShape.newPolygonQuery(FIELDNAME, QueryRelation.WITHIN, 
> searchPoly);
>     assertEquals(4, searcher.count(q));
>     IOUtils.close(w, reader, dir);
>   }
> {code}



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