David Smiley created LUCENE-4550:
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             Summary: For extremely wide shapes (> 180 degrees) distErrPct is 
not used correctly
                 Key: LUCENE-4550
                 URL: https://issues.apache.org/jira/browse/LUCENE-4550
             Project: Lucene - Core
          Issue Type: Bug
          Components: modules/spatial
    Affects Versions: 4.0
            Reporter: David Smiley
            Priority: Minor


When a shape is given to a PrefixTreeStrategy (index or query time), it needs 
to know how many levels down the prefix tree to go for a target precision 
(distErrPct).  distErrPct is basically a fraction of the radius of the shape, 
defaulting to 2.5% (0.0025).

If the shape presented is extremely wide, > 180 degrees, then the internal 
calculations in SpatialArgs.calcDistanceFromErrPct(...) will wrongly measure 
the shape's size as having width < 180 degrees, yielding *more* accuracy than 
intended.  Given that this happens for unrealistic shape sizes and results in 
more accuracy, I am flagging this as "minor", but a bug nonetheless.  Indeed, 
this was discovered as a result of someone using lucene-spatial incorrectly, 
not for an actual shape they have.  But in the extreme [erroneous] case they 
had, they had 566k terms (!) generated, when it should have been ~1k tops. 

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