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https://issues.apache.org/jira/browse/IMPALA-7310?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16621126#comment-16621126
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Paul Rogers commented on IMPALA-7310:
-------------------------------------

As noted above, the code uses -1 as an "undefined" selectivity marker. We saw 
that, if NDV=0, we leave the value at "undefined". A quick read suggests we do 
special handling further up the expression tree. See 
{{PlanNode.coputeCombinedSelectify}}.

1. Remove conjuncts (expressions) with undefined selectivity.
 2. If no expressions remain, add one with {{DEFAULT_SELECTIVITY}}.

This means that if we have no metadata, we treat the following identically:
{noformat}
WHERE x = 10
WHERE x = 10 AND y = 20 AND z = 30
{noformat}
Both are assumed to have a 0.1 selectivity, when one might argue that the 
second should have 0.1^3 = 0.001 selectivity. (Actual code uses an exponential 
back-off, ignored here.)

Note also the somewhat over-generalize use of {{DEFAULT_SELECTIVITY}}. If x = 
10 has 0.1 selectivity, then does it make sense to assume that x < 10 has the 
same? Some DB's assume a larger number (0.5, say) for inequalities. This 
subtlety is lost in the 0.1 for everything approach.

Is this all this a bug or a feature?

> Compute Stats not computing NULLs as a distinct value causing wrong estimates
> -----------------------------------------------------------------------------
>
>                 Key: IMPALA-7310
>                 URL: https://issues.apache.org/jira/browse/IMPALA-7310
>             Project: IMPALA
>          Issue Type: Bug
>          Components: Frontend
>    Affects Versions: Impala 2.7.0, Impala 2.8.0, Impala 2.9.0, Impala 2.10.0, 
> Impala 2.11.0, Impala 3.0, Impala 2.12.0
>            Reporter: Zsombor Fedor
>            Assignee: Paul Rogers
>            Priority: Major
>
> As seen in other DBMSs
> {code:java}
> NDV(col){code}
> not counting NULL as a distinct value. The same also applies to
> {code:java}
> COUNT(DISTINCT col){code}
> This is working as intended, but when computing column statistics it can 
> cause some anomalies (i.g. bad join order) as compute stats uses NDV() to 
> determine columns NDVs.
>  
> For example when aggregating more columns, the estimated cardinality is 
> [counted as the product of the columns' number of distinct 
> values.|https://github.com/cloudera/Impala/blob/64cd0bb0c3529efa0ab5452c4e9e2a04fd815b4f/fe/src/main/java/org/apache/impala/analysis/Expr.java#L669]
>  If there is a column full of NULLs the whole product will be 0.
>  
> There are two possible fix for this.
> Either we should count NULLs as a distinct value when Computing Stats in the 
> query:
> {code:java}
> SELECT NDV(a) + COUNT(DISTINCT CASE WHEN a IS NULL THEN 1 END) AS a, CAST(-1 
> as BIGINT), 4, CAST(4 as DOUBLE) FROM test;{code}
> instead of
> {code:java}
> SELECT NDV(a) AS a, CAST(-1 as BIGINT), 4, CAST(4 as DOUBLE) FROM test;{code}
>  
>  
> Or we should change the planner 
> [function|https://github.com/cloudera/Impala/blob/2d2579cb31edda24457d33ff5176d79b7c0432c5/fe/src/main/java/org/apache/impala/planner/AggregationNode.java#L169]
>  to take care of this bug.
>  



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