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https://issues.apache.org/jira/browse/LUCENE-8736?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16817013#comment-16817013
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Robert Muir commented on LUCENE-8736:
-------------------------------------

I guess I don't see them as boundary failures. Instead just a very fancy way of 
implementing that ancient point in poly algorithm :)

The main thing is that its very well-defined. Its also extremely easy to reason 
about not just in the case of partitioning into a graph (or multipolygon), but 
also complex polygons with holes and stuff like that. E.g. if we use shapes of 
countries, any given point can only be in one country, and this kind of thing 
simplifies corner cases.

> 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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