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

    https://github.com/apache/spark/pull/10960#discussion_r51533703
  
    --- Diff: 
sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/aggregate/CentralMomentAgg.scala
 ---
    @@ -57,173 +55,170 @@ abstract class CentralMomentAgg(child: Expression) 
extends ImperativeAggregate w
     
       override def dataType: DataType = DoubleType
     
    -  override def inputTypes: Seq[AbstractDataType] = Seq(NumericType)
    +  override def inputTypes: Seq[AbstractDataType] = Seq(DoubleType)
    +
    +  protected val count = AttributeReference("count", DoubleType, nullable = 
false)()
    +  protected val avg = AttributeReference("avg", DoubleType, nullable = 
false)()
    +  protected val m2 = AttributeReference("m2", DoubleType, nullable = 
false)()
    +  protected val m3 = AttributeReference("m3", DoubleType, nullable = 
false)()
    +  protected val m4 = AttributeReference("m4", DoubleType, nullable = 
false)()
    +
    +  override val aggBufferAttributes = Seq(count, avg, m2, m3, 
m4).take(momentOrder + 1)
    +
    +  override val initialValues: Seq[Expression] = Seq(
    +    /* count = */ Literal(0.0),
    +    /* avg = */ Literal(0.0),
    +    /* m2 = */ Literal(0.0),
    +    /* m3 = */ Literal(0.0),
    +    /* m4 = */ Literal(0.0)
    +  ).take(momentOrder + 1)
    +
    +  override lazy val updateExpressions: Seq[Expression] = {
    +    val n = count + Literal(1.0)
    +    val delta = child - avg
    +    val deltaN = delta / n
    +    val newAvg = avg + deltaN
    +    val newM2 = m2 + delta * (delta - deltaN)
    +
    +    val delta2 = delta * delta
    +    val deltaN2 = deltaN * deltaN
    +    val newM3 = m3 - Literal(3.0) * deltaN * newM2 + delta * (delta2 - 
deltaN2)
    +
    +    val newM4 = m4 - Literal(4.0) * deltaN * newM3 - Literal(6.0) * 
deltaN2 * newM2 +
    +      delta * (delta * delta2 - deltaN * deltaN2)
    +
    +    if (child.nullable) {
    +      Seq(
    +        /* count = */ If(IsNull(child), count, n),
    --- End diff --
    
    The comment `/* count = */` seems unnecessary to me because it is clear 
from the variable name.


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