Github user yhuai commented on a diff in the pull request:

    https://github.com/apache/spark/pull/6297#discussion_r34627743
  
    --- Diff: 
sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/aggregates.scala
 ---
    @@ -761,3 +761,216 @@ case class LastFunction(expr: Expression, base: 
AggregateExpression) extends Agg
         if (result != null) expr.eval(result.asInstanceOf[InternalRow]) else 
null
       }
     }
    +
    +// Compute standard deviation based on online algorithm specified here:
    +// http://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
    +case class Stddev(child: Expression) extends PartialAggregate with 
trees.UnaryNode[Expression] {
    +  override def nullable: Boolean = true
    +  override def dataType: DataType = child.dataType match {
    +    case DecimalType.Fixed(_, _) | DecimalType.Unlimited =>
    +      DecimalType.Unlimited
    +    case _ =>
    +      DoubleType
    +  }
    +  override def toString: String = s"STDDEV($child)"
    +  override def asPartial: SplitEvaluation = {
    +    val partialStd = Alias(ComputePartialStd(Cast(child, dataType)), 
"PartialStddev")()
    +    SplitEvaluation(CombinePartialStd(partialStd.toAttribute), partialStd 
:: Nil)
    +  }
    +  override def newInstance(): StddevFunction = new StddevFunction(child, 
this)
    +}
    +
    +case class ComputePartialStd(child: Expression) extends 
AggregateExpression {
    +    def this() = this(null)
    +
    +    override def children: Seq[Expression] = child :: Nil
    +    override def nullable: Boolean = false
    +    override def dataType: DataType = child.dataType match {
    +      case DecimalType.Unlimited => ArrayType(DecimalType.Unlimited)
    +      case _ => ArrayType(DoubleType)
    +    }
    +    override def toString: String = s"computePartialStddev($child)"
    +    override def newInstance(): ComputePartialStdFunction =
    +      new ComputePartialStdFunction(child, this)
    +}
    +
    +case class CombinePartialStd(child: Expression) extends 
AggregateExpression {
    +  def this() = this(null)
    +
    +  override def children: Seq[Expression] = child:: Nil
    +  override def nullable: Boolean = false
    +  override def dataType: DataType = child.dataType match {
    +    case ArrayType(DecimalType.Unlimited, _) => DecimalType.Unlimited
    +    case _ => DoubleType
    +  }
    +  override def toString: String = s"CombinePartialStd($child)"
    +  override def newInstance(): CombinePartialStdFunction = {
    +    new CombinePartialStdFunction(child, this)
    +  }
    +}
    +
    +case class ComputePartialStdFunction (
    +    expr: Expression,
    +    base: AggregateExpression
    +) extends AggregateFunction {
    +  def this() = this(null, null)  // Required for serialization
    +
    +  private val computeType = expr.dataType
    --- End diff --
    
    Is `computeType` used for intermediate result? Why it just takes the 
datatype of the expr? 


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