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https://issues.apache.org/jira/browse/LUCENE-6759?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14725402#comment-14725402
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Karl Wright commented on LUCENE-6759:
-------------------------------------

The computation that determines the perpendicular plane that is intersected 
with the original plane to find the X or Y bounds is as follows:

(1) Create a perpendicular plane which includes the X axis (or Y axis, 
depending)
(2) Evaluate that plane at the two Z points that represent the maximum 
excursions in Z for the plane intersecting the planet
(3) Take the average of the evaluations, and construct a new plane that is 
parallel to the first perpendicular plane but offset by that amount

In this case, the following is produced:

{code}
   [junit4]   2> zPoint: [X=0.09847149376598374, Y=-0.07921875599763584, 
Z=-0.9897798734262737]
   [junit4]   2> zPoint: [X=0.7398138828430078, Y=-0.5951685429682101, 
Z=0.31625095037048134]
...
   [junit4]   2>     computing X bound
   [junit4]   2>     not degenerate; B=-0.5302912804708979; 
C=-0.5331856607581867
   [junit4]   2>     originPlane.evaluate(zpoint)=-0.6418043015460514
   [junit4]   2>     originPlane.evaluate(zpoint)=0.6450052856365084
{code}

So, the D value being computed is the average of two fairly large numbers, 
which are largely canceling each other out.  Unfortunately, however, that kind 
of floating-point calculation leads to a fairly high error value, which I 
believe to be the source of the problem we're seeing.

I will ponder if there's a better way to compute what we need here.

> Integrate lat/long BKD and spatial 3d, part 2
> ---------------------------------------------
>
>                 Key: LUCENE-6759
>                 URL: https://issues.apache.org/jira/browse/LUCENE-6759
>             Project: Lucene - Core
>          Issue Type: New Feature
>            Reporter: Michael McCandless
>         Attachments: LUCENE-6699.patch, LUCENE-6699.patch, LUCENE-6699.patch, 
> LUCENE-6699.patch, LUCENE-6699.patch, LUCENE-6699.patch, LUCENE-6699.patch, 
> LUCENE-6699.patch, LUCENE-6699.patch, LUCENE-6699.patch, LUCENE-6699.patch, 
> LUCENE-6699.patch, LUCENE-6699.patch, LUCENE-6699.patch, LUCENE-6699.patch
>
>
> This is just a continuation of LUCENE-6699, which became too big.



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