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https://issues.apache.org/jira/browse/LUCENE-7179?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15226999#comment-15226999
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Robert Muir commented on LUCENE-7179:
-------------------------------------

{quote}
But if we don't want to handle the dimensional reduction limitations we can 
remove this approach altogether. Noting that we haven't even begun to tap into 
its optimization potential.
{quote}

Right, I think we should try to improve it here to work the best it can in one 
dimensional space. Working better on a z-order curve means doing work in 
integer space! I have an example of what this looks like on LUCENE-7177. Look 
in the code for all my comments about the encoding & rounding issues i worked 
around.

If we can reason well about the encoding and quantization, we can explore 
adapting that patch's 1D grid to work in the same z-order space, or other 
options, or we can stick with using rectangles. Even if we stick with 
rectangles, in my opinion integers and byte[] are easier for many operations, 
so its worth the trouble.


> GeoPoint and LatLonPoint test data should quantize once
> -------------------------------------------------------
>
>                 Key: LUCENE-7179
>                 URL: https://issues.apache.org/jira/browse/LUCENE-7179
>             Project: Lucene - Core
>          Issue Type: Bug
>            Reporter: Nicholas Knize
>         Attachments: LUCENE-7179.patch
>
>
> {{LatLonPoint}} and {{GeoPointField}} tests pre quantizes test data to ensure 
> consistency with indexed (encoded) data. The pre quantized data then becomes 
> indexed, undergoing another quantization. To guarantee numerical stability 
> this should be changed such that the test data is quantized after indexing.



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