Ignacio Vera created LUCENE-8868:
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             Summary: New storing strategy for BKD tree leaves with low 
cardinality
                 Key: LUCENE-8868
                 URL: https://issues.apache.org/jira/browse/LUCENE-8868
             Project: Lucene - Core
          Issue Type: Improvement
            Reporter: Ignacio Vera


Currently if a leaf on the BKD tree contains only few values, then the leaf is 
treated the same way as it all values are different. It many cases it can be 
much more efficient to store the distinct values with the cardinality.

The strategy is the following:

1.  When writing a leaf block the cardinality is computed.
2. Perform some naive calculation to compute if it is better to store the leaf 
as a low cardinality leaf. The storage cost are calculated as follows:
*   low cardinality: leafCardinality * (packedBytesLength - prefixLenSum + 2) 
where two is the estimated size of storing the cardinality. This is an 
overestimation as in some cases you will only need one byte to store the 
cardinality.
* High cardinality: count * (packedBytesLength - prefixLenSum). We are not 
taking into account the runlen compression.
3.  If the tree has low cardinality then we set the compressed dim to -2. Note 
that -1 is when all values are equal.






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