Github user sethah commented on the pull request:

    https://github.com/apache/spark/pull/9008#issuecomment-187920267
  
    Another issue is that the information gain for candidate splits is not 
computed correctly with fractional samples. This is because the information 
gain calculation 
[here](https://github.com/apache/spark/blob/master/mllib/src/main/scala/org/apache/spark/ml/tree/impl/RandomForest.scala#L636)
 uses the sample counts which are converted to `Long` type. This produces 
incorrect results in general, and `NaN` values when the total count is less 
than 1. The `count` function 
[here](https://github.com/apache/spark/blob/master/mllib/src/main/scala/org/apache/spark/mllib/tree/impurity/Impurity.scala#L149)
 should return a `Double` type instead. Can we add a test to ensure that the 
trees are invariant under constant multiplication of the weights?


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