Github user marmbrus commented on a diff in the pull request: https://github.com/apache/spark/pull/6297#discussion_r33001595 --- Diff: sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/aggregates.scala --- @@ -746,3 +746,219 @@ case class LastFunction(expr: Expression, base: AggregateExpression) extends Agg if (result != null) expr.eval(result.asInstanceOf[Row]) 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 + private val zero = Cast(Literal(0), computeType) + private var partialCount: Long = 0L + + // the mean of data processed so far + private val partialAvg :MutableLiteral = MutableLiteral(zero.eval(null), computeType) + + // update average based on this formula: + // avg = avg + (value - avg)/count + private def avgAddFunction (value: Literal) : Expression= { + val delta = Subtract(Cast(value, computeType), partialAvg) + Add (partialAvg, Divide(delta, Cast(Literal(partialCount), computeType))) + } + + // the sum of squares of difference from mean + private val partialMk :MutableLiteral = MutableLiteral(zero.eval(null), computeType) + + // update sum of square of difference from mean based on following formula: + // Mk = Mk + (value - preAvg) * (value - updatedAvg) + private def mkAddFunction(value: Literal, prePartialAvg: MutableLiteral) : Expression = { + val delta1 = Subtract(Cast(value, computeType), prePartialAvg) + val delta2 = Subtract(Cast(value, computeType), partialAvg) + Add(partialMk, Multiply(delta1, delta2)) + } + + override def update(input: Row): Unit = { + val evaluatedExpr = expr.eval(input) + if (evaluatedExpr != null) { + val exprValue = Literal.create(evaluatedExpr, expr.dataType) + val prePartialAvg = partialAvg.copy() + partialCount += 1 + partialAvg.update(avgAddFunction(exprValue), input) + partialMk.update(mkAddFunction(exprValue, prePartialAvg), input) + } + } + + override def eval(input: Row): Any = { + Seq(Cast(Literal(partialCount), computeType).eval(null), + partialAvg.eval(null), + partialMk.eval(null)) + } +} + +case class CombinePartialStdFunction( + expr: Expression, + base: AggregateExpression +) extends AggregateFunction { + def this() = this (null, null) // Required for serialization + + private val computeType = expr.dataType match { + case ArrayType(DecimalType.Unlimited, _) => DecimalType.Unlimited + case _ => DoubleType + } + private val zero = Cast(Literal(0), computeType) + private val combineCount = MutableLiteral(zero.eval(null), computeType) + private val combineAvg = MutableLiteral(zero.eval(null), computeType) + private val combineMk = MutableLiteral(zero.eval(null), computeType) + + private def avgUpdateFunction(preCount: Expression, --- End diff -- Wrap all arguments with 4 space indent.
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